# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.033 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(free_g1_rlvect_1, axiom, ![X1, X2, X3, X4]:(((((((m1_subset_1(X2,X1)&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X4))&v1_funct_2(X4,k2_zfmisc_1(k1_numbers,X1),X1))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X1),X1))))=>![X5, X6, X7, X8]:(g1_rlvect_1(X1,X2,X3,X4)=g1_rlvect_1(X5,X6,X7,X8)=>(((X1=X5&X2=X6)&X3=X7)&X4=X8))), file('dualsp06/dualsp06__t1_dualsp06', free_g1_rlvect_1)).
fof(dt_u1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>((v1_funct_1(u1_rlvect_1(X1))&v1_funct_2(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u1_rlvect_1(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(X1)),u1_struct_0(X1)))))), file('dualsp06/dualsp06__t1_dualsp06', dt_u1_rlvect_1)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('dualsp06/dualsp06__t1_dualsp06', dt_l2_algstr_0)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t1_dualsp06', dt_l1_rlvect_1)).
fof(d1_dualsp06, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>![X3]:((((((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v5_rlvect_1(X3))&v6_rlvect_1(X3))&v7_rlvect_1(X3))&v8_rlvect_1(X3))&v3_normsp_0(X3))&v4_normsp_0(X3))&v1_normsp_1(X3))&v2_normsp_1(X3))&l1_normsp_1(X3))=>(X3=k1_dualsp06(X1,X2)<=>(g1_rlvect_1(u1_struct_0(X3),u2_struct_0(X3),u1_algstr_0(X3),u1_rlvect_1(X3))=g1_rlvect_1(u1_struct_0(X2),u2_struct_0(X2),u1_algstr_0(X2),u1_rlvect_1(X2))&u1_normsp_0(X3)=k2_partfun1(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),u1_struct_0(X3))))))), file('dualsp06/dualsp06__t1_dualsp06', d1_dualsp06)).
fof(dt_k1_dualsp06, axiom, ![X1, X2]:((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_rlsub_1(X2,X1))=>(((((((((((((~(v2_struct_0(k1_dualsp06(X1,X2)))&v13_algstr_0(k1_dualsp06(X1,X2)))&v2_rlvect_1(k1_dualsp06(X1,X2)))&v3_rlvect_1(k1_dualsp06(X1,X2)))&v4_rlvect_1(k1_dualsp06(X1,X2)))&v5_rlvect_1(k1_dualsp06(X1,X2)))&v6_rlvect_1(k1_dualsp06(X1,X2)))&v7_rlvect_1(k1_dualsp06(X1,X2)))&v8_rlvect_1(k1_dualsp06(X1,X2)))&v3_normsp_0(k1_dualsp06(X1,X2)))&v4_normsp_0(k1_dualsp06(X1,X2)))&v1_normsp_1(k1_dualsp06(X1,X2)))&v2_normsp_1(k1_dualsp06(X1,X2)))&l1_normsp_1(k1_dualsp06(X1,X2)))), file('dualsp06/dualsp06__t1_dualsp06', dt_k1_dualsp06)).
fof(dt_u1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>((v1_funct_1(u1_algstr_0(X1))&v1_funct_2(u1_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u1_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))))), file('dualsp06/dualsp06__t1_dualsp06', dt_u1_algstr_0)).
fof(t1_dualsp06, conjecture, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>m1_dualsp01(k1_dualsp06(X1,X2),X1))), file('dualsp06/dualsp06__t1_dualsp06', t1_dualsp06)).
fof(dt_l2_normsp_0, axiom, ![X1]:(l2_normsp_0(X1)=>(l1_normsp_0(X1)&l2_struct_0(X1))), file('dualsp06/dualsp06__t1_dualsp06', dt_l2_normsp_0)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t1_dualsp06', dt_l1_normsp_1)).
fof(d6_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>k4_struct_0(X1)=u2_struct_0(X1)), file('dualsp06/dualsp06__t1_dualsp06', d6_struct_0)).
fof(dt_k4_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))), file('dualsp06/dualsp06__t1_dualsp06', dt_k4_struct_0)).
fof(d2_rlsub_1, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&l1_rlvect_1(X2))=>(m1_rlsub_1(X2,X1)<=>(((r1_tarski(u1_struct_0(X2),u1_struct_0(X1))&k4_struct_0(X2)=k4_struct_0(X1))&u1_algstr_0(X2)=k1_realset1(u1_algstr_0(X1),u1_struct_0(X2)))&u1_rlvect_1(X2)=k5_relat_1(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(X2))))))), file('dualsp06/dualsp06__t1_dualsp06', d2_rlsub_1)).
fof(dt_m1_rlsub_1, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>(((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&l1_rlvect_1(X2)))), file('dualsp06/dualsp06__t1_dualsp06', dt_m1_rlsub_1)).
fof(d16_dualsp01, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(((((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&v3_normsp_0(X2))&v4_normsp_0(X2))&v2_normsp_1(X2))&l1_normsp_1(X2))=>(m1_dualsp01(X2,X1)<=>((((r1_tarski(u1_struct_0(X2),u1_struct_0(X1))&k4_struct_0(X2)=k4_struct_0(X1))&u1_algstr_0(X2)=k1_realset1(u1_algstr_0(X1),u1_struct_0(X2)))&u1_rlvect_1(X2)=k5_relat_1(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(X2))))&u1_normsp_0(X2)=k5_relat_1(u1_normsp_0(X1),u1_struct_0(X2)))))), file('dualsp06/dualsp06__t1_dualsp06', d16_dualsp01)).
fof(redefinition_k2_partfun1, axiom, ![X1, X2, X3, X4]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>k2_partfun1(X1,X2,X3,X4)=k5_relat_1(X3,X4)), file('dualsp06/dualsp06__t1_dualsp06', redefinition_k2_partfun1)).
fof(dt_u1_normsp_0, axiom, ![X1]:(l1_normsp_0(X1)=>((v1_funct_1(u1_normsp_0(X1))&v1_funct_2(u1_normsp_0(X1),u1_struct_0(X1),k1_numbers))&m1_subset_1(u1_normsp_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),k1_numbers))))), file('dualsp06/dualsp06__t1_dualsp06', dt_u1_normsp_0)).
fof(c_0_17, plain, ![X65, X66, X67, X68, X69, X70, X71, X72]:((((X65=X69|g1_rlvect_1(X65,X66,X67,X68)!=g1_rlvect_1(X69,X70,X71,X72)|(~m1_subset_1(X66,X65)|~v1_funct_1(X67)|~v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X65,X65),X65)))|~v1_funct_1(X68)|~v1_funct_2(X68,k2_zfmisc_1(k1_numbers,X65),X65)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X65),X65)))))&(X66=X70|g1_rlvect_1(X65,X66,X67,X68)!=g1_rlvect_1(X69,X70,X71,X72)|(~m1_subset_1(X66,X65)|~v1_funct_1(X67)|~v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X65,X65),X65)))|~v1_funct_1(X68)|~v1_funct_2(X68,k2_zfmisc_1(k1_numbers,X65),X65)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X65),X65))))))&(X67=X71|g1_rlvect_1(X65,X66,X67,X68)!=g1_rlvect_1(X69,X70,X71,X72)|(~m1_subset_1(X66,X65)|~v1_funct_1(X67)|~v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X65,X65),X65)))|~v1_funct_1(X68)|~v1_funct_2(X68,k2_zfmisc_1(k1_numbers,X65),X65)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X65),X65))))))&(X68=X72|g1_rlvect_1(X65,X66,X67,X68)!=g1_rlvect_1(X69,X70,X71,X72)|(~m1_subset_1(X66,X65)|~v1_funct_1(X67)|~v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X65,X65),X65)))|~v1_funct_1(X68)|~v1_funct_2(X68,k2_zfmisc_1(k1_numbers,X65),X65)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X65),X65)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_rlvect_1])])])])).
fof(c_0_18, plain, ![X64]:(((v1_funct_1(u1_rlvect_1(X64))|~l1_rlvect_1(X64))&(v1_funct_2(u1_rlvect_1(X64),k2_zfmisc_1(k1_numbers,u1_struct_0(X64)),u1_struct_0(X64))|~l1_rlvect_1(X64)))&(m1_subset_1(u1_rlvect_1(X64),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(X64)),u1_struct_0(X64))))|~l1_rlvect_1(X64))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_rlvect_1])])])).
fof(c_0_19, plain, ![X58]:((l2_struct_0(X58)|~l2_algstr_0(X58))&(l1_algstr_0(X58)|~l2_algstr_0(X58))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_20, plain, ![X57]:(~l1_rlvect_1(X57)|l2_algstr_0(X57)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
fof(c_0_21, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>![X3]:((((((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v5_rlvect_1(X3))&v6_rlvect_1(X3))&v7_rlvect_1(X3))&v8_rlvect_1(X3))&v3_normsp_0(X3))&v4_normsp_0(X3))&v1_normsp_1(X3))&v2_normsp_1(X3))&l1_normsp_1(X3))=>(X3=k1_dualsp06(X1,X2)<=>(g1_rlvect_1(u1_struct_0(X3),u2_struct_0(X3),u1_algstr_0(X3),u1_rlvect_1(X3))=g1_rlvect_1(u1_struct_0(X2),u2_struct_0(X2),u1_algstr_0(X2),u1_rlvect_1(X2))&u1_normsp_0(X3)=k2_partfun1(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),u1_struct_0(X3))))))), inference(fof_simplification,[status(thm)],[d1_dualsp06])).
fof(c_0_22, plain, ![X1, X2]:((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_rlsub_1(X2,X1))=>(((((((((((((~v2_struct_0(k1_dualsp06(X1,X2))&v13_algstr_0(k1_dualsp06(X1,X2)))&v2_rlvect_1(k1_dualsp06(X1,X2)))&v3_rlvect_1(k1_dualsp06(X1,X2)))&v4_rlvect_1(k1_dualsp06(X1,X2)))&v5_rlvect_1(k1_dualsp06(X1,X2)))&v6_rlvect_1(k1_dualsp06(X1,X2)))&v7_rlvect_1(k1_dualsp06(X1,X2)))&v8_rlvect_1(k1_dualsp06(X1,X2)))&v3_normsp_0(k1_dualsp06(X1,X2)))&v4_normsp_0(k1_dualsp06(X1,X2)))&v1_normsp_1(k1_dualsp06(X1,X2)))&v2_normsp_1(k1_dualsp06(X1,X2)))&l1_normsp_1(k1_dualsp06(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k1_dualsp06])).
cnf(c_0_23, plain, (X1=X2|g1_rlvect_1(X3,X4,X5,X1)!=g1_rlvect_1(X6,X7,X8,X2)|~m1_subset_1(X4,X3)|~v1_funct_1(X5)|~v1_funct_2(X5,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(k1_numbers,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, plain, (m1_subset_1(u1_rlvect_1(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,u1_struct_0(X1)),u1_struct_0(X1))))|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (v1_funct_1(u1_rlvect_1(X1))|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (v1_funct_2(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(X1)),u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_27, plain, ![X62]:(((v1_funct_1(u1_algstr_0(X62))|~l1_algstr_0(X62))&(v1_funct_2(u1_algstr_0(X62),k2_zfmisc_1(u1_struct_0(X62),u1_struct_0(X62)),u1_struct_0(X62))|~l1_algstr_0(X62)))&(m1_subset_1(u1_algstr_0(X62),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X62),u1_struct_0(X62)),u1_struct_0(X62))))|~l1_algstr_0(X62))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_algstr_0])])])).
cnf(c_0_28, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_29, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_30, plain, ![X47, X48, X49]:(((g1_rlvect_1(u1_struct_0(X49),u2_struct_0(X49),u1_algstr_0(X49),u1_rlvect_1(X49))=g1_rlvect_1(u1_struct_0(X48),u2_struct_0(X48),u1_algstr_0(X48),u1_rlvect_1(X48))|X49!=k1_dualsp06(X47,X48)|(v2_struct_0(X49)|~v13_algstr_0(X49)|~v2_rlvect_1(X49)|~v3_rlvect_1(X49)|~v4_rlvect_1(X49)|~v5_rlvect_1(X49)|~v6_rlvect_1(X49)|~v7_rlvect_1(X49)|~v8_rlvect_1(X49)|~v3_normsp_0(X49)|~v4_normsp_0(X49)|~v1_normsp_1(X49)|~v2_normsp_1(X49)|~l1_normsp_1(X49))|~m1_rlsub_1(X48,X47)|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_rlvect_1(X47)|~v6_rlvect_1(X47)|~v7_rlvect_1(X47)|~v8_rlvect_1(X47)|~v3_normsp_0(X47)|~v4_normsp_0(X47)|~v2_normsp_1(X47)|~l1_normsp_1(X47)))&(u1_normsp_0(X49)=k2_partfun1(u1_struct_0(X47),k1_numbers,u1_normsp_0(X47),u1_struct_0(X49))|X49!=k1_dualsp06(X47,X48)|(v2_struct_0(X49)|~v13_algstr_0(X49)|~v2_rlvect_1(X49)|~v3_rlvect_1(X49)|~v4_rlvect_1(X49)|~v5_rlvect_1(X49)|~v6_rlvect_1(X49)|~v7_rlvect_1(X49)|~v8_rlvect_1(X49)|~v3_normsp_0(X49)|~v4_normsp_0(X49)|~v1_normsp_1(X49)|~v2_normsp_1(X49)|~l1_normsp_1(X49))|~m1_rlsub_1(X48,X47)|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_rlvect_1(X47)|~v6_rlvect_1(X47)|~v7_rlvect_1(X47)|~v8_rlvect_1(X47)|~v3_normsp_0(X47)|~v4_normsp_0(X47)|~v2_normsp_1(X47)|~l1_normsp_1(X47))))&(g1_rlvect_1(u1_struct_0(X49),u2_struct_0(X49),u1_algstr_0(X49),u1_rlvect_1(X49))!=g1_rlvect_1(u1_struct_0(X48),u2_struct_0(X48),u1_algstr_0(X48),u1_rlvect_1(X48))|u1_normsp_0(X49)!=k2_partfun1(u1_struct_0(X47),k1_numbers,u1_normsp_0(X47),u1_struct_0(X49))|X49=k1_dualsp06(X47,X48)|(v2_struct_0(X49)|~v13_algstr_0(X49)|~v2_rlvect_1(X49)|~v3_rlvect_1(X49)|~v4_rlvect_1(X49)|~v5_rlvect_1(X49)|~v6_rlvect_1(X49)|~v7_rlvect_1(X49)|~v8_rlvect_1(X49)|~v3_normsp_0(X49)|~v4_normsp_0(X49)|~v1_normsp_1(X49)|~v2_normsp_1(X49)|~l1_normsp_1(X49))|~m1_rlsub_1(X48,X47)|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_rlvect_1(X47)|~v6_rlvect_1(X47)|~v7_rlvect_1(X47)|~v8_rlvect_1(X47)|~v3_normsp_0(X47)|~v4_normsp_0(X47)|~v2_normsp_1(X47)|~l1_normsp_1(X47)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])).
fof(c_0_31, plain, ![X53, X54]:((((((((((((((~v2_struct_0(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53)))&(v13_algstr_0(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v2_rlvect_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v3_rlvect_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v4_rlvect_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v5_rlvect_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v6_rlvect_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v7_rlvect_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v8_rlvect_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v3_normsp_0(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v4_normsp_0(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v1_normsp_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(v2_normsp_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53))))&(l1_normsp_1(k1_dualsp06(X53,X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_rlvect_1(X53)|~v6_rlvect_1(X53)|~v7_rlvect_1(X53)|~v8_rlvect_1(X53)|~v3_normsp_0(X53)|~v4_normsp_0(X53)|~v2_normsp_1(X53)|~l1_normsp_1(X53)|~m1_rlsub_1(X54,X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_32, negated_conjecture, ~(![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>m1_dualsp01(k1_dualsp06(X1,X2),X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_dualsp06])])).
cnf(c_0_33, plain, (u1_rlvect_1(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,X4,u1_rlvect_1(X1))!=g1_rlvect_1(X5,X6,X7,X2)|~v1_funct_2(X4,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(X4)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_26])).
cnf(c_0_34, plain, (m1_subset_1(u1_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_35, plain, (l1_algstr_0(X1)|~l1_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_36, plain, (g1_rlvect_1(u1_struct_0(X1),u2_struct_0(X1),u1_algstr_0(X1),u1_rlvect_1(X1))=g1_rlvect_1(u1_struct_0(X2),u2_struct_0(X2),u1_algstr_0(X2),u1_rlvect_1(X2))|v2_struct_0(X1)|v2_struct_0(X3)|X1!=k1_dualsp06(X3,X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v1_normsp_1(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X3)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v5_rlvect_1(X3)|~v6_rlvect_1(X3)|~v7_rlvect_1(X3)|~v8_rlvect_1(X3)|~v3_normsp_0(X3)|~v4_normsp_0(X3)|~v2_normsp_1(X3)|~l1_normsp_1(X3)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_37, plain, (v13_algstr_0(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_38, plain, (v2_rlvect_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_39, plain, (v3_rlvect_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_40, plain, (v4_rlvect_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_41, plain, (v5_rlvect_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_42, plain, (v6_rlvect_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_43, plain, (v7_rlvect_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_44, plain, (v8_rlvect_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_45, plain, (v3_normsp_0(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_46, plain, (v4_normsp_0(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_47, plain, (v2_normsp_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_48, plain, (l1_normsp_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_49, plain, (v1_normsp_1(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_50, plain, (v2_struct_0(X1)|~v2_struct_0(k1_dualsp06(X1,X2))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_51, negated_conjecture, (((((((((((((~v2_struct_0(esk1_0)&v13_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v5_rlvect_1(esk1_0))&v6_rlvect_1(esk1_0))&v7_rlvect_1(esk1_0))&v8_rlvect_1(esk1_0))&v3_normsp_0(esk1_0))&v4_normsp_0(esk1_0))&v2_normsp_1(esk1_0))&l1_normsp_1(esk1_0))&(m1_rlsub_1(esk2_0,esk1_0)&~m1_dualsp01(k1_dualsp06(esk1_0,esk2_0),esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
cnf(c_0_52, plain, (X1=X2|g1_rlvect_1(X3,X4,X1,X5)!=g1_rlvect_1(X6,X7,X2,X8)|~m1_subset_1(X4,X3)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X5)|~v1_funct_2(X5,k2_zfmisc_1(k1_numbers,X3),X3)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_53, plain, ![X59]:((l1_normsp_0(X59)|~l2_normsp_0(X59))&(l2_struct_0(X59)|~l2_normsp_0(X59))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_normsp_0])])])).
fof(c_0_54, plain, ![X56]:((l1_rlvect_1(X56)|~l1_normsp_1(X56))&(l2_normsp_0(X56)|~l1_normsp_1(X56))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
cnf(c_0_55, plain, (u1_rlvect_1(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(X4,X5,X6,X2)|~v1_funct_2(u1_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])).
cnf(c_0_56, plain, (v1_funct_2(u1_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_57, plain, (g1_rlvect_1(u1_struct_0(k1_dualsp06(X1,X2)),u2_struct_0(k1_dualsp06(X1,X2)),u1_algstr_0(k1_dualsp06(X1,X2)),u1_rlvect_1(k1_dualsp06(X1,X2)))=g1_rlvect_1(u1_struct_0(X2),u2_struct_0(X2),u1_algstr_0(X2),u1_rlvect_1(X2))|v2_struct_0(X1)|~m1_rlsub_1(X2,X1)|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])).
cnf(c_0_58, negated_conjecture, (m1_rlsub_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_59, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_60, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_61, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_62, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_63, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_64, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_65, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_66, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_67, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_68, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_69, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_70, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_71, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_72, plain, (X1=X2|g1_rlvect_1(u1_struct_0(X3),X4,X1,u1_rlvect_1(X3))!=g1_rlvect_1(X5,X6,X2,X7)|~v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))))|~m1_subset_1(X4,u1_struct_0(X3))|~l1_rlvect_1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_24]), c_0_25]), c_0_26])).
fof(c_0_73, plain, ![X52]:(~l2_struct_0(X52)|k4_struct_0(X52)=u2_struct_0(X52)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_struct_0])])).
cnf(c_0_74, plain, (l2_struct_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_75, plain, (l2_normsp_0(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_76, plain, (u1_rlvect_1(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(X4,X5,X6,X2)|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_35])).
cnf(c_0_77, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),u2_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)),u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0)))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_78, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_79, plain, (u1_algstr_0(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(X4,X5,X2,X6)|~v1_funct_2(u1_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_34]), c_0_35])).
cnf(c_0_80, plain, (X1=X2|g1_rlvect_1(X3,X1,X4,X5)!=g1_rlvect_1(X6,X2,X7,X8)|~m1_subset_1(X1,X3)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X5)|~v1_funct_2(X5,k2_zfmisc_1(k1_numbers,X3),X3)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_81, plain, (k4_struct_0(X1)=u2_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_82, plain, (l2_struct_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_83, negated_conjecture, (u1_rlvect_1(X1)=u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))|g1_rlvect_1(u1_struct_0(X1),X2,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_84, plain, (l2_struct_0(X1)|~l1_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_78, c_0_29])).
cnf(c_0_85, plain, (u1_algstr_0(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(X4,X5,X2,X6)|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_56]), c_0_35])).
cnf(c_0_86, plain, (X1=X2|g1_rlvect_1(u1_struct_0(X3),X1,X4,u1_rlvect_1(X3))!=g1_rlvect_1(X5,X2,X6,X7)|~v1_funct_2(X4,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_1(X4)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))))|~m1_subset_1(X1,u1_struct_0(X3))|~l1_rlvect_1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_24]), c_0_25]), c_0_26])).
cnf(c_0_87, plain, (X1=X2|g1_rlvect_1(X1,X3,X4,X5)!=g1_rlvect_1(X2,X6,X7,X8)|~m1_subset_1(X3,X1)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_1(X5)|~v1_funct_2(X5,k2_zfmisc_1(k1_numbers,X1),X1)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_88, plain, (u2_struct_0(X1)=k4_struct_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_89, negated_conjecture, (l1_normsp_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_90, negated_conjecture, (u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))=u1_rlvect_1(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(er,[status(thm)],[c_0_83])).
cnf(c_0_91, plain, (u2_struct_0(X1)=k4_struct_0(X1)|~l1_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_81, c_0_84])).
fof(c_0_92, plain, ![X55]:(~l2_struct_0(X55)|m1_subset_1(k4_struct_0(X55),u1_struct_0(X55))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_struct_0])])).
cnf(c_0_93, negated_conjecture, (u1_algstr_0(X1)=u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))|g1_rlvect_1(u1_struct_0(X1),X2,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_85, c_0_77])).
cnf(c_0_94, plain, (X1=X2|g1_rlvect_1(u1_struct_0(X3),X1,u1_algstr_0(X3),u1_rlvect_1(X3))!=g1_rlvect_1(X4,X2,X5,X6)|~v1_funct_2(u1_algstr_0(X3),k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_1(u1_algstr_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))|~l1_rlvect_1(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_34]), c_0_35])).
cnf(c_0_95, plain, (u1_struct_0(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,X4,u1_rlvect_1(X1))!=g1_rlvect_1(X2,X5,X6,X7)|~v1_funct_2(X4,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(X4)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_24]), c_0_25]), c_0_26])).
cnf(c_0_96, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)),u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0)))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_88]), c_0_89])])).
cnf(c_0_97, negated_conjecture, (u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))=u1_rlvect_1(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_90, c_0_91])).
cnf(c_0_98, plain, (m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_99, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(er,[status(thm)],[c_0_93])).
cnf(c_0_100, plain, (X1=X2|g1_rlvect_1(u1_struct_0(X3),X1,u1_algstr_0(X3),u1_rlvect_1(X3))!=g1_rlvect_1(X4,X2,X5,X6)|~v1_funct_1(u1_algstr_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))|~l1_rlvect_1(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_56]), c_0_35])).
cnf(c_0_101, plain, (u1_struct_0(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(X2,X4,X5,X6)|~v1_funct_2(u1_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_34]), c_0_35])).
cnf(c_0_102, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=X1|g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))!=g1_rlvect_1(X2,X3,X1,X4)|~v1_funct_1(u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)))|~m1_subset_1(k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_struct_0(k1_dualsp06(esk1_0,esk2_0)))|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_85, c_0_96])).
cnf(c_0_103, negated_conjecture, (u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))=u1_rlvect_1(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_84])).
cnf(c_0_104, plain, (v1_funct_1(u1_algstr_0(X1))|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_105, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_99, c_0_91])).
cnf(c_0_106, negated_conjecture, (X1=u2_struct_0(k1_dualsp06(esk1_0,esk2_0))|g1_rlvect_1(u1_struct_0(X2),X1,u1_algstr_0(X2),u1_rlvect_1(X2))!=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(X2))|~m1_subset_1(X1,u1_struct_0(X2))|~l1_rlvect_1(X2)), inference(spm,[status(thm)],[c_0_100, c_0_77])).
fof(c_0_107, plain, ![X1]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&l1_rlvect_1(X2))=>(m1_rlsub_1(X2,X1)<=>(((r1_tarski(u1_struct_0(X2),u1_struct_0(X1))&k4_struct_0(X2)=k4_struct_0(X1))&u1_algstr_0(X2)=k1_realset1(u1_algstr_0(X1),u1_struct_0(X2)))&u1_rlvect_1(X2)=k5_relat_1(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(X2))))))), inference(fof_simplification,[status(thm)],[d2_rlsub_1])).
fof(c_0_108, plain, ![X1]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>(((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&l1_rlvect_1(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_rlsub_1])).
cnf(c_0_109, plain, (u1_struct_0(X1)=X2|g1_rlvect_1(u1_struct_0(X1),X3,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(X2,X4,X5,X6)|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_56]), c_0_35])).
cnf(c_0_110, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~v1_funct_1(u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)))|~m1_subset_1(k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_struct_0(k1_dualsp06(esk1_0,esk2_0)))|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(er,[status(thm)],[c_0_102])).
cnf(c_0_111, negated_conjecture, (u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))=u1_rlvect_1(esk2_0)|~l1_rlvect_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_35])).
cnf(c_0_112, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_98]), c_0_84])).
cnf(c_0_113, negated_conjecture, (u2_struct_0(k1_dualsp06(esk1_0,esk2_0))=u2_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(er,[status(thm)],[c_0_106])).
fof(c_0_114, plain, ![X50, X51]:(((((r1_tarski(u1_struct_0(X51),u1_struct_0(X50))|~m1_rlsub_1(X51,X50)|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v5_rlvect_1(X51)|~v6_rlvect_1(X51)|~v7_rlvect_1(X51)|~v8_rlvect_1(X51)|~l1_rlvect_1(X51))|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~l1_rlvect_1(X50)))&(k4_struct_0(X51)=k4_struct_0(X50)|~m1_rlsub_1(X51,X50)|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v5_rlvect_1(X51)|~v6_rlvect_1(X51)|~v7_rlvect_1(X51)|~v8_rlvect_1(X51)|~l1_rlvect_1(X51))|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~l1_rlvect_1(X50))))&(u1_algstr_0(X51)=k1_realset1(u1_algstr_0(X50),u1_struct_0(X51))|~m1_rlsub_1(X51,X50)|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v5_rlvect_1(X51)|~v6_rlvect_1(X51)|~v7_rlvect_1(X51)|~v8_rlvect_1(X51)|~l1_rlvect_1(X51))|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~l1_rlvect_1(X50))))&(u1_rlvect_1(X51)=k5_relat_1(u1_rlvect_1(X50),k2_zfmisc_1(k1_numbers,u1_struct_0(X51)))|~m1_rlsub_1(X51,X50)|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v5_rlvect_1(X51)|~v6_rlvect_1(X51)|~v7_rlvect_1(X51)|~v8_rlvect_1(X51)|~l1_rlvect_1(X51))|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~l1_rlvect_1(X50))))&(~r1_tarski(u1_struct_0(X51),u1_struct_0(X50))|k4_struct_0(X51)!=k4_struct_0(X50)|u1_algstr_0(X51)!=k1_realset1(u1_algstr_0(X50),u1_struct_0(X51))|u1_rlvect_1(X51)!=k5_relat_1(u1_rlvect_1(X50),k2_zfmisc_1(k1_numbers,u1_struct_0(X51)))|m1_rlsub_1(X51,X50)|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v5_rlvect_1(X51)|~v6_rlvect_1(X51)|~v7_rlvect_1(X51)|~v8_rlvect_1(X51)|~l1_rlvect_1(X51))|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~l1_rlvect_1(X50)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])])])).
fof(c_0_115, plain, ![X60, X61]:((((((((((~v2_struct_0(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60)))&(v13_algstr_0(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(v2_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(v3_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(v4_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(v5_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(v6_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(v7_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(v8_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60))))&(l1_rlvect_1(X61)|~m1_rlsub_1(X61,X60)|(v2_struct_0(X60)|~v13_algstr_0(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v5_rlvect_1(X60)|~v6_rlvect_1(X60)|~v7_rlvect_1(X60)|~v8_rlvect_1(X60)|~l1_rlvect_1(X60)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])])).
cnf(c_0_116, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=X1|g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))!=g1_rlvect_1(X1,X2,X3,X4)|~v1_funct_1(u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)))|~m1_subset_1(k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_struct_0(k1_dualsp06(esk1_0,esk2_0)))|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_109, c_0_96])).
cnf(c_0_117, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~v1_funct_1(u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)))|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_98]), c_0_84])).
cnf(c_0_118, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),u2_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_111]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_119, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~l1_rlvect_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_104]), c_0_35])).
cnf(c_0_120, negated_conjecture, (u2_struct_0(k1_dualsp06(esk1_0,esk2_0))=k4_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_113, c_0_91])).
cnf(c_0_121, plain, (k4_struct_0(X1)=k4_struct_0(X2)|v2_struct_0(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~l1_rlvect_1(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_122, plain, (v13_algstr_0(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_123, plain, (v2_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_124, plain, (v3_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_125, plain, (v4_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_126, plain, (v5_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_127, plain, (v6_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_128, plain, (v7_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_129, plain, (v8_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_130, plain, (l1_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_131, plain, (v2_struct_0(X2)|~v2_struct_0(X1)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_132, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)))|~m1_subset_1(k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_struct_0(k1_dualsp06(esk1_0,esk2_0)))|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(er,[status(thm)],[c_0_116])).
cnf(c_0_133, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_104]), c_0_35])).
cnf(c_0_134, negated_conjecture, (u1_struct_0(X1)=u1_struct_0(k1_dualsp06(esk1_0,esk2_0))|g1_rlvect_1(u1_struct_0(X1),X2,u1_algstr_0(X1),u1_rlvect_1(X1))!=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_109, c_0_77])).
cnf(c_0_135, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),u2_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_118, c_0_119])).
cnf(c_0_136, negated_conjecture, (u2_struct_0(k1_dualsp06(esk1_0,esk2_0))=k4_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_98]), c_0_84])).
cnf(c_0_137, plain, (k4_struct_0(X1)=k4_struct_0(X2)|v2_struct_0(X2)|~l1_rlvect_1(X2)|~m1_rlsub_1(X1,X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_121, c_0_122]), c_0_123]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131])).
cnf(c_0_138, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)))|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_98]), c_0_84])).
cnf(c_0_139, negated_conjecture, (v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_133]), c_0_35])).
cnf(c_0_140, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(er,[status(thm)],[c_0_134])).
cnf(c_0_141, plain, (g1_rlvect_1(u1_struct_0(k1_dualsp06(X1,X2)),k4_struct_0(k1_dualsp06(X1,X2)),u1_algstr_0(k1_dualsp06(X1,X2)),u1_rlvect_1(k1_dualsp06(X1,X2)))=g1_rlvect_1(u1_struct_0(X2),u2_struct_0(X2),u1_algstr_0(X2),u1_rlvect_1(X2))|v2_struct_0(X1)|~m1_rlsub_1(X2,X1)|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_88]), c_0_48])).
cnf(c_0_142, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),k4_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_135, c_0_136])).
cnf(c_0_143, negated_conjecture, (k4_struct_0(esk2_0)=k4_struct_0(esk1_0)|~l1_rlvect_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_58]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_144, negated_conjecture, (l1_rlvect_1(esk2_0)|~l1_rlvect_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_58]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_145, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)|~l1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_133]), c_0_139])).
cnf(c_0_146, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_147, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_140, c_0_91])).
cnf(c_0_148, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_111]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_149, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_144])).
cnf(c_0_150, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_146]), c_0_89])])).
cnf(c_0_151, negated_conjecture, (k4_struct_0(k1_dualsp06(esk1_0,esk2_0))=k4_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_136]), c_0_89])])).
cnf(c_0_152, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_98]), c_0_84])).
cnf(c_0_153, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_148, c_0_119])).
cnf(c_0_154, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(rw,[status(thm)],[c_0_149, c_0_150])).
cnf(c_0_155, negated_conjecture, (m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(k1_dualsp06(esk1_0,esk2_0)))|~v1_funct_1(u1_algstr_0(esk2_0))|~l2_struct_0(k1_dualsp06(esk1_0,esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_98, c_0_151])).
cnf(c_0_156, negated_conjecture, (u1_struct_0(k1_dualsp06(esk1_0,esk2_0))=u1_struct_0(esk2_0)|~l1_rlvect_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_104]), c_0_35])).
cnf(c_0_157, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(rw,[status(thm)],[c_0_153, c_0_150])).
cnf(c_0_158, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_91]), c_0_144])).
cnf(c_0_159, negated_conjecture, (m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l2_struct_0(k1_dualsp06(esk1_0,esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_155, c_0_156])).
fof(c_0_160, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(((((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&v3_normsp_0(X2))&v4_normsp_0(X2))&v2_normsp_1(X2))&l1_normsp_1(X2))=>(m1_dualsp01(X2,X1)<=>((((r1_tarski(u1_struct_0(X2),u1_struct_0(X1))&k4_struct_0(X2)=k4_struct_0(X1))&u1_algstr_0(X2)=k1_realset1(u1_algstr_0(X1),u1_struct_0(X2)))&u1_rlvect_1(X2)=k5_relat_1(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(X2))))&u1_normsp_0(X2)=k5_relat_1(u1_normsp_0(X1),u1_struct_0(X2)))))), inference(fof_simplification,[status(thm)],[d16_dualsp01])).
cnf(c_0_161, negated_conjecture, (k4_struct_0(k1_dualsp06(esk1_0,esk2_0))=X1|g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))!=g1_rlvect_1(X2,X1,X3,X4)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_100, c_0_157])).
cnf(c_0_162, negated_conjecture, (k4_struct_0(esk2_0)=X1|g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))!=g1_rlvect_1(X2,X1,X3,X4)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_158]), c_0_144])).
cnf(c_0_163, negated_conjecture, (m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_82]), c_0_89])])).
fof(c_0_164, plain, ![X45, X46]:((((((r1_tarski(u1_struct_0(X46),u1_struct_0(X45))|~m1_dualsp01(X46,X45)|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45)))&(k4_struct_0(X46)=k4_struct_0(X45)|~m1_dualsp01(X46,X45)|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45))))&(u1_algstr_0(X46)=k1_realset1(u1_algstr_0(X45),u1_struct_0(X46))|~m1_dualsp01(X46,X45)|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45))))&(u1_rlvect_1(X46)=k5_relat_1(u1_rlvect_1(X45),k2_zfmisc_1(k1_numbers,u1_struct_0(X46)))|~m1_dualsp01(X46,X45)|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45))))&(u1_normsp_0(X46)=k5_relat_1(u1_normsp_0(X45),u1_struct_0(X46))|~m1_dualsp01(X46,X45)|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45))))&(~r1_tarski(u1_struct_0(X46),u1_struct_0(X45))|k4_struct_0(X46)!=k4_struct_0(X45)|u1_algstr_0(X46)!=k1_realset1(u1_algstr_0(X45),u1_struct_0(X46))|u1_rlvect_1(X46)!=k5_relat_1(u1_rlvect_1(X45),k2_zfmisc_1(k1_numbers,u1_struct_0(X46)))|u1_normsp_0(X46)!=k5_relat_1(u1_normsp_0(X45),u1_struct_0(X46))|m1_dualsp01(X46,X45)|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_160])])])])).
cnf(c_0_165, plain, (r1_tarski(u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~l1_rlvect_1(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_166, negated_conjecture, (k4_struct_0(k1_dualsp06(esk1_0,esk2_0))=u2_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(er,[status(thm)],[c_0_161])).
cnf(c_0_167, negated_conjecture, (m1_subset_1(k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_struct_0(esk2_0))|~l2_struct_0(k1_dualsp06(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_98, c_0_150])).
cnf(c_0_168, negated_conjecture, (u2_struct_0(esk2_0)=k4_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(k4_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_162, c_0_154])).
cnf(c_0_169, negated_conjecture, (m1_subset_1(k4_struct_0(esk1_0),u1_struct_0(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_143]), c_0_144])).
cnf(c_0_170, plain, (m1_dualsp01(X1,X2)|v2_struct_0(X1)|v2_struct_0(X2)|~r1_tarski(u1_struct_0(X1),u1_struct_0(X2))|k4_struct_0(X1)!=k4_struct_0(X2)|u1_algstr_0(X1)!=k1_realset1(u1_algstr_0(X2),u1_struct_0(X1))|u1_rlvect_1(X1)!=k5_relat_1(u1_rlvect_1(X2),k2_zfmisc_1(k1_numbers,u1_struct_0(X1)))|u1_normsp_0(X1)!=k5_relat_1(u1_normsp_0(X2),u1_struct_0(X1))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)), inference(split_conjunct,[status(thm)],[c_0_164])).
cnf(c_0_171, negated_conjecture, (v2_normsp_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_172, negated_conjecture, (v4_normsp_0(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_173, negated_conjecture, (v3_normsp_0(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_174, negated_conjecture, (v8_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_175, negated_conjecture, (v7_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_176, negated_conjecture, (v6_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_177, negated_conjecture, (v5_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_178, negated_conjecture, (v4_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_179, negated_conjecture, (v3_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_180, negated_conjecture, (v2_rlvect_1(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_181, negated_conjecture, (v13_algstr_0(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_182, plain, (r1_tarski(u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(X2)|~l1_rlvect_1(X2)|~m1_rlsub_1(X1,X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_165, c_0_122]), c_0_123]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131])).
cnf(c_0_183, plain, (u1_rlvect_1(X1)=k5_relat_1(u1_rlvect_1(X2),k2_zfmisc_1(k1_numbers,u1_struct_0(X1)))|v2_struct_0(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~l1_rlvect_1(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_114])).
fof(c_0_184, plain, ![X73, X74, X75, X76]:(~v1_funct_1(X75)|~m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X73,X74)))|k2_partfun1(X73,X74,X75,X76)=k5_relat_1(X75,X76)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_partfun1])])).
fof(c_0_185, plain, ![X63]:(((v1_funct_1(u1_normsp_0(X63))|~l1_normsp_0(X63))&(v1_funct_2(u1_normsp_0(X63),u1_struct_0(X63),k1_numbers)|~l1_normsp_0(X63)))&(m1_subset_1(u1_normsp_0(X63),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X63),k1_numbers)))|~l1_normsp_0(X63))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_normsp_0])])])).
cnf(c_0_186, plain, (u1_normsp_0(X1)=k2_partfun1(u1_struct_0(X2),k1_numbers,u1_normsp_0(X2),u1_struct_0(X1))|v2_struct_0(X1)|v2_struct_0(X2)|X1!=k1_dualsp06(X2,X3)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v1_normsp_1(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_rlsub_1(X3,X2)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_187, negated_conjecture, (g1_rlvect_1(u1_struct_0(k1_dualsp06(esk1_0,esk2_0)),k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(esk2_0),u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0)))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_119]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_188, negated_conjecture, (k4_struct_0(k1_dualsp06(esk1_0,esk2_0))=u2_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l2_struct_0(k1_dualsp06(esk1_0,esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_166, c_0_167])).
cnf(c_0_189, negated_conjecture, (u2_struct_0(esk2_0)=k4_struct_0(esk1_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_143]), c_0_169])).
cnf(c_0_190, negated_conjecture, (m1_dualsp01(k1_dualsp06(esk1_0,esk2_0),X1)|v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|v2_struct_0(X1)|k5_relat_1(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(esk2_0)))!=u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))|k1_realset1(u1_algstr_0(X1),u1_struct_0(esk2_0))!=u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))|k5_relat_1(u1_normsp_0(X1),u1_struct_0(esk2_0))!=u1_normsp_0(k1_dualsp06(esk1_0,esk2_0))|k4_struct_0(k1_dualsp06(esk1_0,esk2_0))!=k4_struct_0(X1)|~r1_tarski(u1_struct_0(esk2_0),u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_150]), c_0_89]), c_0_171]), c_0_172]), c_0_173]), c_0_174]), c_0_175]), c_0_176]), c_0_177]), c_0_178]), c_0_179]), c_0_180]), c_0_181])])).
cnf(c_0_191, negated_conjecture, (r1_tarski(u1_struct_0(esk2_0),u1_struct_0(esk1_0))|~l1_rlvect_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_58]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_192, negated_conjecture, (~m1_dualsp01(k1_dualsp06(esk1_0,esk2_0),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_193, plain, (k5_relat_1(u1_rlvect_1(X1),k2_zfmisc_1(k1_numbers,u1_struct_0(X2)))=u1_rlvect_1(X2)|v2_struct_0(X1)|~l1_rlvect_1(X1)|~m1_rlsub_1(X2,X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_183, c_0_122]), c_0_123]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131])).
cnf(c_0_194, plain, (u1_algstr_0(X1)=k1_realset1(u1_algstr_0(X2),u1_struct_0(X1))|v2_struct_0(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~l1_rlvect_1(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_195, plain, (k2_partfun1(X2,X3,X1,X4)=k5_relat_1(X1,X4)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_184])).
cnf(c_0_196, plain, (m1_subset_1(u1_normsp_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),k1_numbers)))|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_185])).
cnf(c_0_197, plain, (v1_funct_1(u1_normsp_0(X1))|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_185])).
cnf(c_0_198, plain, (k2_partfun1(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),u1_struct_0(k1_dualsp06(X1,X2)))=u1_normsp_0(k1_dualsp06(X1,X2))|v2_struct_0(X1)|~m1_rlsub_1(X2,X1)|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_186]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])).
cnf(c_0_199, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(esk2_0),u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0)))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(rw,[status(thm)],[c_0_187, c_0_150])).
cnf(c_0_200, negated_conjecture, (k4_struct_0(k1_dualsp06(esk1_0,esk2_0))=u2_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_82]), c_0_89])])).
cnf(c_0_201, negated_conjecture, (u2_struct_0(esk2_0)=k4_struct_0(esk1_0)|~l1_algstr_0(esk2_0)|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_189, c_0_104])).
cnf(c_0_202, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(k1_dualsp06(esk1_0,esk2_0)),u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~l1_rlvect_1(esk2_0)), inference(rw,[status(thm)],[c_0_148, c_0_150])).
cnf(c_0_203, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|k5_relat_1(u1_rlvect_1(esk1_0),k2_zfmisc_1(k1_numbers,u1_struct_0(esk2_0)))!=u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))|k1_realset1(u1_algstr_0(esk1_0),u1_struct_0(esk2_0))!=u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))|k5_relat_1(u1_normsp_0(esk1_0),u1_struct_0(esk2_0))!=u1_normsp_0(k1_dualsp06(esk1_0,esk2_0))|k4_struct_0(k1_dualsp06(esk1_0,esk2_0))!=k4_struct_0(esk1_0)|~l1_rlvect_1(esk1_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_191]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_192]), c_0_71])).
cnf(c_0_204, negated_conjecture, (k5_relat_1(u1_rlvect_1(esk1_0),k2_zfmisc_1(k1_numbers,u1_struct_0(esk2_0)))=u1_rlvect_1(esk2_0)|~l1_rlvect_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_58]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_205, plain, (k1_realset1(u1_algstr_0(X1),u1_struct_0(X2))=u1_algstr_0(X2)|v2_struct_0(X1)|~l1_rlvect_1(X1)|~m1_rlsub_1(X2,X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_194, c_0_122]), c_0_123]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131])).
cnf(c_0_206, plain, (k2_partfun1(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2)=k5_relat_1(u1_normsp_0(X1),X2)|~l1_normsp_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195, c_0_196]), c_0_197])).
cnf(c_0_207, negated_conjecture, (k2_partfun1(u1_struct_0(esk1_0),k1_numbers,u1_normsp_0(esk1_0),u1_struct_0(k1_dualsp06(esk1_0,esk2_0)))=u1_normsp_0(k1_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_208, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0)))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_199, c_0_200])).
cnf(c_0_209, negated_conjecture, (u2_struct_0(esk2_0)=k4_struct_0(esk1_0)|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201, c_0_35]), c_0_144])).
cnf(c_0_210, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(spm,[status(thm)],[c_0_202, c_0_200])).
cnf(c_0_211, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|k1_realset1(u1_algstr_0(esk1_0),u1_struct_0(esk2_0))!=u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))|k5_relat_1(u1_normsp_0(esk1_0),u1_struct_0(esk2_0))!=u1_normsp_0(k1_dualsp06(esk1_0,esk2_0))|u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))!=u1_rlvect_1(esk2_0)|k4_struct_0(k1_dualsp06(esk1_0,esk2_0))!=k4_struct_0(esk1_0)|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_203, c_0_204])).
cnf(c_0_212, negated_conjecture, (k1_realset1(u1_algstr_0(esk1_0),u1_struct_0(esk2_0))=u1_algstr_0(esk2_0)|~l1_rlvect_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205, c_0_58]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_213, negated_conjecture, (k5_relat_1(u1_normsp_0(esk1_0),u1_struct_0(k1_dualsp06(esk1_0,esk2_0)))=u1_normsp_0(k1_dualsp06(esk1_0,esk2_0))|~l1_normsp_0(esk1_0)), inference(spm,[status(thm)],[c_0_206, c_0_207])).
cnf(c_0_214, negated_conjecture, (X1=k4_struct_0(k1_dualsp06(esk1_0,esk2_0))|g1_rlvect_1(u1_struct_0(X2),X1,u1_algstr_0(X2),u1_rlvect_1(X2))!=g1_rlvect_1(u1_struct_0(esk2_0),u2_struct_0(esk2_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(X2))|~m1_subset_1(X1,u1_struct_0(X2))|~l1_rlvect_1(X2)), inference(spm,[status(thm)],[c_0_100, c_0_96])).
cnf(c_0_215, negated_conjecture, (u1_rlvect_1(esk2_0)=X1|g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))!=g1_rlvect_1(X2,X3,X4,X1)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_154]), c_0_144])).
cnf(c_0_216, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0)))=g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208, c_0_209]), c_0_144])).
cnf(c_0_217, negated_conjecture, (u1_algstr_0(esk2_0)=X1|g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))!=g1_rlvect_1(X2,X3,X1,X4)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_154]), c_0_144])).
cnf(c_0_218, negated_conjecture, (g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(k1_dualsp06(esk1_0,esk2_0)),u1_rlvect_1(esk2_0))=g1_rlvect_1(u1_struct_0(esk2_0),k4_struct_0(esk1_0),u1_algstr_0(esk2_0),u1_rlvect_1(esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_209]), c_0_144])).
cnf(c_0_219, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|k5_relat_1(u1_normsp_0(esk1_0),u1_struct_0(esk2_0))!=u1_normsp_0(k1_dualsp06(esk1_0,esk2_0))|u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))!=u1_algstr_0(esk2_0)|u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))!=u1_rlvect_1(esk2_0)|k4_struct_0(k1_dualsp06(esk1_0,esk2_0))!=k4_struct_0(esk1_0)|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_211, c_0_212])).
cnf(c_0_220, negated_conjecture, (k5_relat_1(u1_normsp_0(esk1_0),u1_struct_0(esk2_0))=u1_normsp_0(k1_dualsp06(esk1_0,esk2_0))|~l1_normsp_0(esk1_0)), inference(rw,[status(thm)],[c_0_213, c_0_150])).
cnf(c_0_221, negated_conjecture, (k4_struct_0(k1_dualsp06(esk1_0,esk2_0))=u2_struct_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk2_0)), inference(er,[status(thm)],[c_0_214])).
cnf(c_0_222, negated_conjecture, (u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))=u1_rlvect_1(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_215, c_0_216])).
cnf(c_0_223, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~m1_subset_1(u2_struct_0(esk2_0),u1_struct_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_217, c_0_218])).
cnf(c_0_224, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))!=u1_algstr_0(esk2_0)|u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))!=u1_rlvect_1(esk2_0)|k4_struct_0(k1_dualsp06(esk1_0,esk2_0))!=k4_struct_0(esk1_0)|~l1_normsp_0(esk1_0)|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_219, c_0_220])).
cnf(c_0_225, negated_conjecture, (k4_struct_0(k1_dualsp06(esk1_0,esk2_0))=k4_struct_0(esk1_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221, c_0_209]), c_0_144]), c_0_169])).
cnf(c_0_226, negated_conjecture, (u1_rlvect_1(k1_dualsp06(esk1_0,esk2_0))=u1_rlvect_1(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222, c_0_209]), c_0_169])).
cnf(c_0_227, negated_conjecture, (u1_algstr_0(k1_dualsp06(esk1_0,esk2_0))=u1_algstr_0(esk2_0)|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223, c_0_209]), c_0_169])).
cnf(c_0_228, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|~v1_funct_1(u1_algstr_0(esk2_0))|~l1_normsp_0(esk1_0)|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224, c_0_225]), c_0_226]), c_0_227])).
cnf(c_0_229, plain, (l1_normsp_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_230, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|~l1_normsp_0(esk1_0)|~l1_algstr_0(esk2_0)|~l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_228, c_0_104])).
cnf(c_0_231, plain, (l1_normsp_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_229, c_0_75])).
cnf(c_0_232, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|~l1_algstr_0(esk2_0)|~l1_rlvect_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230, c_0_231]), c_0_59])])).
cnf(c_0_233, negated_conjecture, (v2_struct_0(k1_dualsp06(esk1_0,esk2_0))|~l1_rlvect_1(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232, c_0_35]), c_0_144])).
cnf(c_0_234, negated_conjecture, (~l1_rlvect_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_233]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_235, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_146]), c_0_59])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 236
# Proof object clause steps            : 196
# Proof object formula steps           : 40
# Proof object conjectures             : 120
# Proof object clause conjectures      : 117
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 68
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 117
# Proof object simplifying inferences  : 470
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 76
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 76
# Processed clauses                    : 27995
# ...of these trivial                  : 21
# ...subsumed                          : 24567
# ...remaining for further processing  : 3407
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2080
# Backward-rewritten                   : 170
# Generated clauses                    : 60103
# ...of the previous two non-trivial   : 59863
# Contextual simplify-reflections      : 416
# Paramodulations                      : 59708
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 395
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 1079
#    Positive orientable unit clauses  : 38
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 1037
# Current number of unprocessed clauses: 21632
# ...number of literals in the above   : 177380
# Current number of archived formulas  : 0
# Current number of archived clauses   : 2326
# Clause-clause subsumption calls (NU) : 5649465
# Rec. Clause-clause subsumption calls : 291920
# Non-unit clause-clause subsumptions  : 27033
# Unit Clause-clause subsumption calls : 3842
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 17
# BW rewrite match successes           : 10
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2702366

# -------------------------------------------------
# User time                : 2.564 s
# System time              : 0.035 s
# Total time               : 2.599 s
# Maximum resident set size: 3464 pages
