# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.025 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('gr_free0/gr_free0__t68_gr_free0', fc2_struct_0)).
fof(dt_k2_group_19, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~(v2_struct_0(k2_group_19(X1,X2,X3)))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), file('gr_free0/gr_free0__t68_gr_free0', dt_k2_group_19)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__t68_gr_free0', dt_l3_algstr_0)).
fof(dt_k9_gr_free0, axiom, ![X1, X2, X3, X4]:(((((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>((v1_funct_1(k9_gr_free0(X1,X2,X3,X4))&v1_funct_2(k9_gr_free0(X1,X2,X3,X4),k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(k9_gr_free0(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))), file('gr_free0/gr_free0__t68_gr_free0', dt_k9_gr_free0)).
fof(redefinition_k9_gr_free0, axiom, ![X1, X2, X3, X4]:(((((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>k9_gr_free0(X1,X2,X3,X4)=k2_funct_5(X4)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_k9_gr_free0)).
fof(t63_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>(X4!=k1_group_1(k2_group_19(X1,X3,X2))=>k7_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k9_finseq_1(k4_tarski(X2,X4))))))), file('gr_free0/gr_free0__t68_gr_free0', t63_gr_free0)).
fof(redefinition_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_k3_funct_2)).
fof(t55_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k3_funct_2(u1_struct_0(k2_group_19(X1,X3,X2)),u1_struct_0(k4_gr_free0(X1,X3)),k6_gr_free0(X1,X3,X2),X4)=k5_gr_free0(X1,X3,X2,X4))))), file('gr_free0/gr_free0__t68_gr_free0', t55_gr_free0)).
fof(dt_k6_gr_free0, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>((v1_funct_1(k6_gr_free0(X1,X2,X3))&v1_funct_2(k6_gr_free0(X1,X2,X3),u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))&m1_subset_1(k6_gr_free0(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))))), file('gr_free0/gr_free0__t68_gr_free0', dt_k6_gr_free0)).
fof(d10_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>k11_gr_free0(X1,X2,X3)=k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k7_gr_free0(X1,X2,X3),k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))))), file('gr_free0/gr_free0__t68_gr_free0', d10_gr_free0)).
fof(dt_k8_gr_free0, axiom, ![X1, X2]:((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))), file('gr_free0/gr_free0__t68_gr_free0', dt_k8_gr_free0)).
fof(dt_k4_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>((((~(v2_struct_0(k4_gr_free0(X1,X2)))&v15_algstr_0(k4_gr_free0(X1,X2)))&v2_group_1(k4_gr_free0(X1,X2)))&v3_group_1(k4_gr_free0(X1,X2)))&l3_algstr_0(k4_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t68_gr_free0', dt_k4_gr_free0)).
fof(l80_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:((((~(v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>![X4]:(m1_gr_free0(X4,X1,X2,X3)=>(((v1_relat_1(k2_funct_5(X4))&v4_relat_1(k2_funct_5(X4),k1_gr_free0(X2)))&v1_funct_1(k2_funct_5(X4)))&v1_partfun1(k2_funct_5(X4),k1_gr_free0(X2))))))), file('gr_free0/gr_free0__t68_gr_free0', l80_gr_free0)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('gr_free0/gr_free0__t68_gr_free0', redefinition_k9_finseq_1)).
fof(t68_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>(X4!=k1_group_1(k2_group_19(X1,X3,X2))=>k11_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k1_group_19(u1_struct_0(k4_gr_free0(X1,X3)),k5_gr_free0(X1,X3,X2,X4))))))), file('gr_free0/gr_free0__t68_gr_free0', t68_gr_free0)).
fof(t38_funct_5, axiom, ![X1, X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>![X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>(((r2_hidden(X1,k9_xtuple_0(X3))&X4=k1_funct_1(X3,X1))&r2_hidden(X2,k9_xtuple_0(X4)))=>((r2_hidden(k4_tarski(X1,X2),k9_xtuple_0(k2_funct_5(X3)))&k1_binop_1(k2_funct_5(X3),X1,X2)=k1_funct_1(X4,X2))&r2_tarski(k1_funct_1(X4,X2),k10_xtuple_0(k2_funct_5(X3))))))), file('gr_free0/gr_free0__t68_gr_free0', t38_funct_5)).
fof(d9_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_gr_free0(X3,X1,X2,k4_gr_free0(X1,X2))=>(X3=k8_gr_free0(X1,X2)<=>![X4]:(m1_subset_1(X4,X1)=>k1_funct_1(X3,X4)=k6_gr_free0(X1,X2,X4)))))), file('gr_free0/gr_free0__t68_gr_free0', d9_gr_free0)).
fof(dt_m1_gr_free0, axiom, ![X1, X2, X3]:((((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>![X4]:(m1_gr_free0(X4,X1,X2,X3)=>((((v1_relat_1(X4)&v4_relat_1(X4,X1))&v1_funct_1(X4))&v1_partfun1(X4,X1))&v1_funcop_1(X4)))), file('gr_free0/gr_free0__t68_gr_free0', dt_m1_gr_free0)).
fof(redefinition_k10_gr_free0, axiom, ![X1, X2, X3, X4, X5]:((((((((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_finseq_1(X4,k1_gr_free0(X2)))&v1_funct_1(X5))&v1_funct_2(X5,k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))=>k10_gr_free0(X1,X2,X3,X4,X5)=k3_relat_1(X4,X5)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_k10_gr_free0)).
fof(t34_finseq_2, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(r2_tarski(X1,k9_xtuple_0(X2))=>k3_relat_1(k9_finseq_1(X1),X2)=k9_finseq_1(k1_funct_1(X2,X1)))), file('gr_free0/gr_free0__t68_gr_free0', t34_finseq_2)).
fof(d1_binop_1, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2, X3]:k1_binop_1(X1,X2,X3)=k1_funct_1(X1,k4_tarski(X2,X3))), file('gr_free0/gr_free0__t68_gr_free0', d1_binop_1)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('gr_free0/gr_free0__t68_gr_free0', cc1_relset_1)).
fof(d1_funct_2, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>((X2!=k1_xboole_0=>(v1_funct_2(X3,X1,X2)<=>X1=k1_relset_1(X1,X3)))&(X2=k1_xboole_0=>(v1_funct_2(X3,X1,X2)<=>X3=k1_xboole_0)))), file('gr_free0/gr_free0__t68_gr_free0', d1_funct_2)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('gr_free0/gr_free0__t68_gr_free0', cc2_relset_1)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_k1_relset_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_r2_tarski)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__t68_gr_free0', t2_subset)).
fof(d2_partfun1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>(v1_partfun1(X2,X1)<=>k1_relset_1(X1,X2)=X1)), file('gr_free0/gr_free0__t68_gr_free0', d2_partfun1)).
fof(redefinition_k1_group_19, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))=>k1_group_19(X1,X2)=k5_finseq_1(X2)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_k1_group_19)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_m2_finseq_1)).
fof(dt_k7_gr_free0, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2))))=>m2_finseq_1(k7_gr_free0(X1,X2,X3),k1_gr_free0(X2))), file('gr_free0/gr_free0__t68_gr_free0', dt_k7_gr_free0)).
fof(redefinition_k4_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k4_gr_free0(X1,X2)=k3_gr_free0(X1,X2)), file('gr_free0/gr_free0__t68_gr_free0', redefinition_k4_gr_free0)).
fof(dt_k5_gr_free0, axiom, ![X1, X2, X3, X4]:((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3))))=>m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t68_gr_free0', dt_k5_gr_free0)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('gr_free0/gr_free0__t68_gr_free0', fc1_xboole_0)).
fof(c_0_34, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
fof(c_0_35, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~v2_struct_0(k2_group_19(X1,X2,X3))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k2_group_19])).
fof(c_0_36, plain, ![X154]:(v2_struct_0(X154)|~l1_struct_0(X154)|~v1_xboole_0(u1_struct_0(X154))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])).
fof(c_0_37, plain, ![X149]:(~l3_algstr_0(X149)|l1_struct_0(X149)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
fof(c_0_38, plain, ![X1, X2, X3, X4]:(((((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>((v1_funct_1(k9_gr_free0(X1,X2,X3,X4))&v1_funct_2(k9_gr_free0(X1,X2,X3,X4),k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(k9_gr_free0(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))), inference(fof_simplification,[status(thm)],[dt_k9_gr_free0])).
fof(c_0_39, plain, ![X1, X2, X3, X4]:(((((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>k9_gr_free0(X1,X2,X3,X4)=k2_funct_5(X4)), inference(fof_simplification,[status(thm)],[redefinition_k9_gr_free0])).
fof(c_0_40, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>(X4!=k1_group_1(k2_group_19(X1,X3,X2))=>k7_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k9_finseq_1(k4_tarski(X2,X4))))))), inference(fof_simplification,[status(thm)],[t63_gr_free0])).
fof(c_0_41, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k3_funct_2])).
fof(c_0_42, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k3_funct_2(u1_struct_0(k2_group_19(X1,X3,X2)),u1_struct_0(k4_gr_free0(X1,X3)),k6_gr_free0(X1,X3,X2),X4)=k5_gr_free0(X1,X3,X2,X4))))), inference(fof_simplification,[status(thm)],[t55_gr_free0])).
fof(c_0_43, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>((v1_funct_1(k6_gr_free0(X1,X2,X3))&v1_funct_2(k6_gr_free0(X1,X2,X3),u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))&m1_subset_1(k6_gr_free0(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))))), inference(fof_simplification,[status(thm)],[dt_k6_gr_free0])).
fof(c_0_44, plain, ![X128, X129, X130]:((((~v2_struct_0(k2_group_19(X128,X129,X130))|(v1_xboole_0(X128)|~v1_relat_1(X129)|~v4_relat_1(X129,X128)|~v1_funct_1(X129)|~v1_partfun1(X129,X128)|~v1_group_7(X129)|~v2_group_7(X129,X128)|~v3_group_7(X129,X128)|~m1_subset_1(X130,X128)))&(v2_group_1(k2_group_19(X128,X129,X130))|(v1_xboole_0(X128)|~v1_relat_1(X129)|~v4_relat_1(X129,X128)|~v1_funct_1(X129)|~v1_partfun1(X129,X128)|~v1_group_7(X129)|~v2_group_7(X129,X128)|~v3_group_7(X129,X128)|~m1_subset_1(X130,X128))))&(v3_group_1(k2_group_19(X128,X129,X130))|(v1_xboole_0(X128)|~v1_relat_1(X129)|~v4_relat_1(X129,X128)|~v1_funct_1(X129)|~v1_partfun1(X129,X128)|~v1_group_7(X129)|~v2_group_7(X129,X128)|~v3_group_7(X129,X128)|~m1_subset_1(X130,X128))))&(l3_algstr_0(k2_group_19(X128,X129,X130))|(v1_xboole_0(X128)|~v1_relat_1(X129)|~v4_relat_1(X129,X128)|~v1_funct_1(X129)|~v1_partfun1(X129,X128)|~v1_group_7(X129)|~v2_group_7(X129,X128)|~v3_group_7(X129,X128)|~m1_subset_1(X130,X128)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
cnf(c_0_45, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_46, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_47, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>k11_gr_free0(X1,X2,X3)=k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k7_gr_free0(X1,X2,X3),k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))))), inference(fof_simplification,[status(thm)],[d10_gr_free0])).
fof(c_0_48, plain, ![X1, X2]:((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))), inference(fof_simplification,[status(thm)],[dt_k8_gr_free0])).
fof(c_0_49, plain, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>((((~v2_struct_0(k4_gr_free0(X1,X2))&v15_algstr_0(k4_gr_free0(X1,X2)))&v2_group_1(k4_gr_free0(X1,X2)))&v3_group_1(k4_gr_free0(X1,X2)))&l3_algstr_0(k4_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_free0])).
fof(c_0_50, plain, ![X145, X146, X147, X148]:(((v1_funct_1(k9_gr_free0(X145,X146,X147,X148))|(v1_xboole_0(X145)|~v1_relat_1(X146)|~v4_relat_1(X146,X145)|~v1_funct_1(X146)|~v1_partfun1(X146,X145)|~v1_group_7(X146)|~v2_group_7(X146,X145)|~v3_group_7(X146,X145)|v2_struct_0(X147)|~v2_group_1(X147)|~v3_group_1(X147)|~l3_algstr_0(X147)|~m1_gr_free0(X148,X145,X146,X147)))&(v1_funct_2(k9_gr_free0(X145,X146,X147,X148),k1_gr_free0(X146),u1_struct_0(X147))|(v1_xboole_0(X145)|~v1_relat_1(X146)|~v4_relat_1(X146,X145)|~v1_funct_1(X146)|~v1_partfun1(X146,X145)|~v1_group_7(X146)|~v2_group_7(X146,X145)|~v3_group_7(X146,X145)|v2_struct_0(X147)|~v2_group_1(X147)|~v3_group_1(X147)|~l3_algstr_0(X147)|~m1_gr_free0(X148,X145,X146,X147))))&(m1_subset_1(k9_gr_free0(X145,X146,X147,X148),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X146),u1_struct_0(X147))))|(v1_xboole_0(X145)|~v1_relat_1(X146)|~v4_relat_1(X146,X145)|~v1_funct_1(X146)|~v1_partfun1(X146,X145)|~v1_group_7(X146)|~v2_group_7(X146,X145)|~v3_group_7(X146,X145)|v2_struct_0(X147)|~v2_group_1(X147)|~v3_group_1(X147)|~l3_algstr_0(X147)|~m1_gr_free0(X148,X145,X146,X147)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])).
fof(c_0_51, plain, ![X175, X176, X177, X178]:(v1_xboole_0(X175)|~v1_relat_1(X176)|~v4_relat_1(X176,X175)|~v1_funct_1(X176)|~v1_partfun1(X176,X175)|~v1_group_7(X176)|~v2_group_7(X176,X175)|~v3_group_7(X176,X175)|v2_struct_0(X177)|~v2_group_1(X177)|~v3_group_1(X177)|~l3_algstr_0(X177)|~m1_gr_free0(X178,X175,X176,X177)|k9_gr_free0(X175,X176,X177,X178)=k2_funct_5(X178)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])).
fof(c_0_52, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:((((~v2_struct_0(X3)&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>![X4]:(m1_gr_free0(X4,X1,X2,X3)=>(((v1_relat_1(k2_funct_5(X4))&v4_relat_1(k2_funct_5(X4),k1_gr_free0(X2)))&v1_funct_1(k2_funct_5(X4)))&v1_partfun1(k2_funct_5(X4),k1_gr_free0(X2))))))), inference(fof_simplification,[status(thm)],[l80_gr_free0])).
fof(c_0_53, plain, ![X195, X196, X197, X198]:(v1_xboole_0(X195)|(~m1_subset_1(X196,X195)|(~v1_relat_1(X197)|~v4_relat_1(X197,X195)|~v1_funct_1(X197)|~v1_partfun1(X197,X195)|~v1_group_7(X197)|~v2_group_7(X197,X195)|~v3_group_7(X197,X195)|(~m1_subset_1(X198,u1_struct_0(k2_group_19(X195,X197,X196)))|(X198=k1_group_1(k2_group_19(X195,X197,X196))|k7_gr_free0(X195,X197,k5_gr_free0(X195,X197,X196,X198))=k9_finseq_1(k4_tarski(X196,X198))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
fof(c_0_54, plain, ![X174]:k9_finseq_1(X174)=k5_finseq_1(X174), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_55, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>(X4!=k1_group_1(k2_group_19(X1,X3,X2))=>k11_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k1_group_19(u1_struct_0(k4_gr_free0(X1,X3)),k5_gr_free0(X1,X3,X2,X4)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t68_gr_free0])])).
fof(c_0_56, plain, ![X187, X188, X189, X190]:(((r2_hidden(k4_tarski(X187,X188),k9_xtuple_0(k2_funct_5(X189)))|(~r2_hidden(X187,k9_xtuple_0(X189))|X190!=k1_funct_1(X189,X187)|~r2_hidden(X188,k9_xtuple_0(X190)))|(~v1_relat_1(X190)|~v1_funct_1(X190))|(~v1_relat_1(X189)|~v1_funct_1(X189)))&(k1_binop_1(k2_funct_5(X189),X187,X188)=k1_funct_1(X190,X188)|(~r2_hidden(X187,k9_xtuple_0(X189))|X190!=k1_funct_1(X189,X187)|~r2_hidden(X188,k9_xtuple_0(X190)))|(~v1_relat_1(X190)|~v1_funct_1(X190))|(~v1_relat_1(X189)|~v1_funct_1(X189))))&(r2_tarski(k1_funct_1(X190,X188),k10_xtuple_0(k2_funct_5(X189)))|(~r2_hidden(X187,k9_xtuple_0(X189))|X190!=k1_funct_1(X189,X187)|~r2_hidden(X188,k9_xtuple_0(X190)))|(~v1_relat_1(X190)|~v1_funct_1(X190))|(~v1_relat_1(X189)|~v1_funct_1(X189)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_funct_5])])])])).
fof(c_0_57, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_gr_free0(X3,X1,X2,k4_gr_free0(X1,X2))=>(X3=k8_gr_free0(X1,X2)<=>![X4]:(m1_subset_1(X4,X1)=>k1_funct_1(X3,X4)=k6_gr_free0(X1,X2,X4)))))), inference(fof_simplification,[status(thm)],[d9_gr_free0])).
fof(c_0_58, plain, ![X1, X2, X3]:((((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>![X4]:(m1_gr_free0(X4,X1,X2,X3)=>((((v1_relat_1(X4)&v4_relat_1(X4,X1))&v1_funct_1(X4))&v1_partfun1(X4,X1))&v1_funcop_1(X4)))), inference(fof_simplification,[status(thm)],[dt_m1_gr_free0])).
fof(c_0_59, plain, ![X168, X169, X170, X171]:(v1_xboole_0(X168)|~v1_funct_1(X170)|~v1_funct_2(X170,X168,X169)|~m1_subset_1(X170,k1_zfmisc_1(k2_zfmisc_1(X168,X169)))|~m1_subset_1(X171,X168)|k3_funct_2(X168,X169,X170,X171)=k1_funct_1(X170,X171)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])).
fof(c_0_60, plain, ![X191, X192, X193, X194]:(v1_xboole_0(X191)|(~m1_subset_1(X192,X191)|(~v1_relat_1(X193)|~v4_relat_1(X193,X191)|~v1_funct_1(X193)|~v1_partfun1(X193,X191)|~v1_group_7(X193)|~v2_group_7(X193,X191)|~v3_group_7(X193,X191)|(~m1_subset_1(X194,u1_struct_0(k2_group_19(X191,X193,X192)))|k3_funct_2(u1_struct_0(k2_group_19(X191,X193,X192)),u1_struct_0(k4_gr_free0(X191,X193)),k6_gr_free0(X191,X193,X192),X194)=k5_gr_free0(X191,X193,X192,X194))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])).
fof(c_0_61, plain, ![X137, X138, X139]:(((v1_funct_1(k6_gr_free0(X137,X138,X139))|(v1_xboole_0(X137)|~v1_relat_1(X138)|~v4_relat_1(X138,X137)|~v1_funct_1(X138)|~v1_partfun1(X138,X137)|~v1_group_7(X138)|~v2_group_7(X138,X137)|~v3_group_7(X138,X137)|~m1_subset_1(X139,X137)))&(v1_funct_2(k6_gr_free0(X137,X138,X139),u1_struct_0(k2_group_19(X137,X138,X139)),u1_struct_0(k4_gr_free0(X137,X138)))|(v1_xboole_0(X137)|~v1_relat_1(X138)|~v4_relat_1(X138,X137)|~v1_funct_1(X138)|~v1_partfun1(X138,X137)|~v1_group_7(X138)|~v2_group_7(X138,X137)|~v3_group_7(X138,X137)|~m1_subset_1(X139,X137))))&(m1_subset_1(k6_gr_free0(X137,X138,X139),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X137,X138,X139)),u1_struct_0(k4_gr_free0(X137,X138)))))|(v1_xboole_0(X137)|~v1_relat_1(X138)|~v4_relat_1(X138,X137)|~v1_funct_1(X138)|~v1_partfun1(X138,X137)|~v1_group_7(X138)|~v2_group_7(X138,X137)|~v3_group_7(X138,X137)|~m1_subset_1(X139,X137)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])).
cnf(c_0_62, plain, (v1_xboole_0(X1)|~v2_struct_0(k2_group_19(X1,X2,X3))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_63, plain, (v2_struct_0(X1)|~l3_algstr_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_64, plain, (l3_algstr_0(k2_group_19(X1,X2,X3))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_65, plain, ![X1, X2, X3, X4, X5]:((((((((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_finseq_1(X4,k1_gr_free0(X2)))&v1_funct_1(X5))&v1_funct_2(X5,k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))=>k10_gr_free0(X1,X2,X3,X4,X5)=k3_relat_1(X4,X5)), inference(fof_simplification,[status(thm)],[redefinition_k10_gr_free0])).
fof(c_0_66, plain, ![X112, X113, X114]:(v1_xboole_0(X112)|(~v1_relat_1(X113)|~v4_relat_1(X113,X112)|~v1_funct_1(X113)|~v1_partfun1(X113,X112)|~v1_group_7(X113)|~v2_group_7(X113,X112)|~v3_group_7(X113,X112)|(~m1_subset_1(X114,u1_struct_0(k3_gr_free0(X112,X113)))|k11_gr_free0(X112,X113,X114)=k10_gr_free0(X112,X113,k4_gr_free0(X112,X113),k7_gr_free0(X112,X113,X114),k9_gr_free0(X112,X113,k4_gr_free0(X112,X113),k8_gr_free0(X112,X113)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])).
fof(c_0_67, plain, ![X143, X144]:(v1_xboole_0(X143)|~v1_relat_1(X144)|~v4_relat_1(X144,X143)|~v1_funct_1(X144)|~v1_partfun1(X144,X143)|~v1_group_7(X144)|~v2_group_7(X144,X143)|~v3_group_7(X144,X143)|m1_gr_free0(k8_gr_free0(X143,X144),X143,X144,k4_gr_free0(X143,X144))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])).
fof(c_0_68, plain, ![X131, X132]:(((((~v2_struct_0(k4_gr_free0(X131,X132))|(~v1_relat_1(X132)|~v4_relat_1(X132,X131)|~v1_funct_1(X132)|~v1_partfun1(X132,X131)|~v1_group_7(X132)|~v2_group_7(X132,X131)|~v3_group_7(X132,X131)))&(v15_algstr_0(k4_gr_free0(X131,X132))|(~v1_relat_1(X132)|~v4_relat_1(X132,X131)|~v1_funct_1(X132)|~v1_partfun1(X132,X131)|~v1_group_7(X132)|~v2_group_7(X132,X131)|~v3_group_7(X132,X131))))&(v2_group_1(k4_gr_free0(X131,X132))|(~v1_relat_1(X132)|~v4_relat_1(X132,X131)|~v1_funct_1(X132)|~v1_partfun1(X132,X131)|~v1_group_7(X132)|~v2_group_7(X132,X131)|~v3_group_7(X132,X131))))&(v3_group_1(k4_gr_free0(X131,X132))|(~v1_relat_1(X132)|~v4_relat_1(X132,X131)|~v1_funct_1(X132)|~v1_partfun1(X132,X131)|~v1_group_7(X132)|~v2_group_7(X132,X131)|~v3_group_7(X132,X131))))&(l3_algstr_0(k4_gr_free0(X131,X132))|(~v1_relat_1(X132)|~v4_relat_1(X132,X131)|~v1_funct_1(X132)|~v1_partfun1(X132,X131)|~v1_group_7(X132)|~v2_group_7(X132,X131)|~v3_group_7(X132,X131)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])).
cnf(c_0_69, plain, (m1_subset_1(k9_gr_free0(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3))))|v1_xboole_0(X1)|v2_struct_0(X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_gr_free0(X4,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_70, plain, (v1_xboole_0(X1)|v2_struct_0(X3)|k9_gr_free0(X1,X2,X3,X4)=k2_funct_5(X4)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_gr_free0(X4,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_51])).
fof(c_0_71, plain, ![X155, X156, X157, X158]:((((v1_relat_1(k2_funct_5(X158))|~m1_gr_free0(X158,X155,X156,X157)|(v2_struct_0(X157)|~v2_group_1(X157)|~v3_group_1(X157)|~l3_algstr_0(X157))|(~v1_relat_1(X156)|~v4_relat_1(X156,X155)|~v1_funct_1(X156)|~v1_partfun1(X156,X155)|~v1_group_7(X156)|~v2_group_7(X156,X155)|~v3_group_7(X156,X155))|v1_xboole_0(X155))&(v4_relat_1(k2_funct_5(X158),k1_gr_free0(X156))|~m1_gr_free0(X158,X155,X156,X157)|(v2_struct_0(X157)|~v2_group_1(X157)|~v3_group_1(X157)|~l3_algstr_0(X157))|(~v1_relat_1(X156)|~v4_relat_1(X156,X155)|~v1_funct_1(X156)|~v1_partfun1(X156,X155)|~v1_group_7(X156)|~v2_group_7(X156,X155)|~v3_group_7(X156,X155))|v1_xboole_0(X155)))&(v1_funct_1(k2_funct_5(X158))|~m1_gr_free0(X158,X155,X156,X157)|(v2_struct_0(X157)|~v2_group_1(X157)|~v3_group_1(X157)|~l3_algstr_0(X157))|(~v1_relat_1(X156)|~v4_relat_1(X156,X155)|~v1_funct_1(X156)|~v1_partfun1(X156,X155)|~v1_group_7(X156)|~v2_group_7(X156,X155)|~v3_group_7(X156,X155))|v1_xboole_0(X155)))&(v1_partfun1(k2_funct_5(X158),k1_gr_free0(X156))|~m1_gr_free0(X158,X155,X156,X157)|(v2_struct_0(X157)|~v2_group_1(X157)|~v3_group_1(X157)|~l3_algstr_0(X157))|(~v1_relat_1(X156)|~v4_relat_1(X156,X155)|~v1_funct_1(X156)|~v1_partfun1(X156,X155)|~v1_group_7(X156)|~v2_group_7(X156,X155)|~v3_group_7(X156,X155))|v1_xboole_0(X155))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])).
cnf(c_0_72, plain, (v1_funct_2(k9_gr_free0(X1,X2,X3,X4),k1_gr_free0(X2),u1_struct_0(X3))|v1_xboole_0(X1)|v2_struct_0(X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_gr_free0(X4,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_50])).
fof(c_0_73, plain, ![X185, X186]:(~v1_relat_1(X186)|~v1_funct_1(X186)|(~r2_tarski(X185,k9_xtuple_0(X186))|k3_relat_1(k9_finseq_1(X185),X186)=k9_finseq_1(k1_funct_1(X186,X185)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_finseq_2])])).
cnf(c_0_74, plain, (v1_xboole_0(X1)|X4=k1_group_1(k2_group_19(X1,X3,X2))|k7_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k9_finseq_1(k4_tarski(X2,X4))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_75, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
fof(c_0_76, negated_conjecture, (~v1_xboole_0(esk1_0)&(m1_subset_1(esk2_0,esk1_0)&(((((((v1_relat_1(esk3_0)&v4_relat_1(esk3_0,esk1_0))&v1_funct_1(esk3_0))&v1_partfun1(esk3_0,esk1_0))&v1_group_7(esk3_0))&v2_group_7(esk3_0,esk1_0))&v3_group_7(esk3_0,esk1_0))&(m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))&(esk4_0!=k1_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))&k11_gr_free0(esk1_0,esk3_0,k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))!=k1_group_19(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)),k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])).
fof(c_0_77, plain, ![X115, X116, X117]:(~v1_relat_1(X115)|~v1_funct_1(X115)|k1_binop_1(X115,X116,X117)=k1_funct_1(X115,k4_tarski(X116,X117))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])])).
cnf(c_0_78, plain, (k1_binop_1(k2_funct_5(X1),X2,X3)=k1_funct_1(X4,X3)|~r2_hidden(X2,k9_xtuple_0(X1))|X4!=k1_funct_1(X1,X2)|~r2_hidden(X3,k9_xtuple_0(X4))|~v1_relat_1(X4)|~v1_funct_1(X4)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
fof(c_0_79, plain, ![X123, X124, X125, X126]:((X125!=k8_gr_free0(X123,X124)|(~m1_subset_1(X126,X123)|k1_funct_1(X125,X126)=k6_gr_free0(X123,X124,X126))|~m1_gr_free0(X125,X123,X124,k4_gr_free0(X123,X124))|(~v1_relat_1(X124)|~v4_relat_1(X124,X123)|~v1_funct_1(X124)|~v1_partfun1(X124,X123)|~v1_group_7(X124)|~v2_group_7(X124,X123)|~v3_group_7(X124,X123))|v1_xboole_0(X123))&((m1_subset_1(esk5_3(X123,X124,X125),X123)|X125=k8_gr_free0(X123,X124)|~m1_gr_free0(X125,X123,X124,k4_gr_free0(X123,X124))|(~v1_relat_1(X124)|~v4_relat_1(X124,X123)|~v1_funct_1(X124)|~v1_partfun1(X124,X123)|~v1_group_7(X124)|~v2_group_7(X124,X123)|~v3_group_7(X124,X123))|v1_xboole_0(X123))&(k1_funct_1(X125,esk5_3(X123,X124,X125))!=k6_gr_free0(X123,X124,esk5_3(X123,X124,X125))|X125=k8_gr_free0(X123,X124)|~m1_gr_free0(X125,X123,X124,k4_gr_free0(X123,X124))|(~v1_relat_1(X124)|~v4_relat_1(X124,X123)|~v1_funct_1(X124)|~v1_partfun1(X124,X123)|~v1_group_7(X124)|~v2_group_7(X124,X123)|~v3_group_7(X124,X123))|v1_xboole_0(X123)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])])).
fof(c_0_80, plain, ![X150, X151, X152, X153]:(((((v1_relat_1(X153)|~m1_gr_free0(X153,X150,X151,X152)|(v1_xboole_0(X150)|~v1_relat_1(X151)|~v4_relat_1(X151,X150)|~v1_funct_1(X151)|~v1_partfun1(X151,X150)|~v1_group_7(X151)|~v2_group_7(X151,X150)|~v3_group_7(X151,X150)|v2_struct_0(X152)|~v2_group_1(X152)|~v3_group_1(X152)|~l3_algstr_0(X152)))&(v4_relat_1(X153,X150)|~m1_gr_free0(X153,X150,X151,X152)|(v1_xboole_0(X150)|~v1_relat_1(X151)|~v4_relat_1(X151,X150)|~v1_funct_1(X151)|~v1_partfun1(X151,X150)|~v1_group_7(X151)|~v2_group_7(X151,X150)|~v3_group_7(X151,X150)|v2_struct_0(X152)|~v2_group_1(X152)|~v3_group_1(X152)|~l3_algstr_0(X152))))&(v1_funct_1(X153)|~m1_gr_free0(X153,X150,X151,X152)|(v1_xboole_0(X150)|~v1_relat_1(X151)|~v4_relat_1(X151,X150)|~v1_funct_1(X151)|~v1_partfun1(X151,X150)|~v1_group_7(X151)|~v2_group_7(X151,X150)|~v3_group_7(X151,X150)|v2_struct_0(X152)|~v2_group_1(X152)|~v3_group_1(X152)|~l3_algstr_0(X152))))&(v1_partfun1(X153,X150)|~m1_gr_free0(X153,X150,X151,X152)|(v1_xboole_0(X150)|~v1_relat_1(X151)|~v4_relat_1(X151,X150)|~v1_funct_1(X151)|~v1_partfun1(X151,X150)|~v1_group_7(X151)|~v2_group_7(X151,X150)|~v3_group_7(X151,X150)|v2_struct_0(X152)|~v2_group_1(X152)|~v3_group_1(X152)|~l3_algstr_0(X152))))&(v1_funcop_1(X153)|~m1_gr_free0(X153,X150,X151,X152)|(v1_xboole_0(X150)|~v1_relat_1(X151)|~v4_relat_1(X151,X150)|~v1_funct_1(X151)|~v1_partfun1(X151,X150)|~v1_group_7(X151)|~v2_group_7(X151,X150)|~v3_group_7(X151,X150)|v2_struct_0(X152)|~v2_group_1(X152)|~v3_group_1(X152)|~l3_algstr_0(X152)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])).
fof(c_0_81, plain, ![X106, X107, X108]:(~m1_subset_1(X108,k1_zfmisc_1(k2_zfmisc_1(X106,X107)))|v1_relat_1(X108)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_82, plain, ![X118, X119, X120]:(((~v1_funct_2(X120,X118,X119)|X118=k1_relset_1(X118,X120)|X119=k1_xboole_0|~m1_subset_1(X120,k1_zfmisc_1(k2_zfmisc_1(X118,X119))))&(X118!=k1_relset_1(X118,X120)|v1_funct_2(X120,X118,X119)|X119=k1_xboole_0|~m1_subset_1(X120,k1_zfmisc_1(k2_zfmisc_1(X118,X119)))))&((~v1_funct_2(X120,X118,X119)|X120=k1_xboole_0|X119!=k1_xboole_0|~m1_subset_1(X120,k1_zfmisc_1(k2_zfmisc_1(X118,X119))))&(X120!=k1_xboole_0|v1_funct_2(X120,X118,X119)|X119!=k1_xboole_0|~m1_subset_1(X120,k1_zfmisc_1(k2_zfmisc_1(X118,X119)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])).
fof(c_0_83, plain, ![X109, X110, X111]:((v4_relat_1(X111,X109)|~m1_subset_1(X111,k1_zfmisc_1(k2_zfmisc_1(X109,X110))))&(v5_relat_1(X111,X110)|~m1_subset_1(X111,k1_zfmisc_1(k2_zfmisc_1(X109,X110))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_84, plain, (v1_xboole_0(X1)|k3_funct_2(X1,X3,X2,X4)=k1_funct_1(X2,X4)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_85, plain, (v1_xboole_0(X1)|k3_funct_2(u1_struct_0(k2_group_19(X1,X3,X2)),u1_struct_0(k4_gr_free0(X1,X3)),k6_gr_free0(X1,X3,X2),X4)=k5_gr_free0(X1,X3,X2,X4)|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_86, plain, (m1_subset_1(k6_gr_free0(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2)))))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_87, plain, (v1_funct_1(k6_gr_free0(X1,X2,X3))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_88, plain, (v1_funct_2(k6_gr_free0(X1,X2,X3),u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2)))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_89, plain, (v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)|~v1_xboole_0(u1_struct_0(k2_group_19(X1,X2,X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])).
fof(c_0_90, plain, ![X159, X160, X161, X162, X163]:(v1_xboole_0(X159)|~v1_relat_1(X160)|~v4_relat_1(X160,X159)|~v1_funct_1(X160)|~v1_partfun1(X160,X159)|~v1_group_7(X160)|~v2_group_7(X160,X159)|~v3_group_7(X160,X159)|v2_struct_0(X161)|~v2_group_1(X161)|~v3_group_1(X161)|~l3_algstr_0(X161)|~m1_finseq_1(X162,k1_gr_free0(X160))|~v1_funct_1(X163)|~v1_funct_2(X163,k1_gr_free0(X160),u1_struct_0(X161))|~m1_subset_1(X163,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X160),u1_struct_0(X161))))|k10_gr_free0(X159,X160,X161,X162,X163)=k3_relat_1(X162,X163)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])).
cnf(c_0_91, plain, (v1_xboole_0(X1)|k11_gr_free0(X1,X2,X3)=k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k7_gr_free0(X1,X2,X3),k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_92, plain, (v1_xboole_0(X1)|m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_93, plain, (v2_group_1(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_94, plain, (v3_group_1(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_95, plain, (l3_algstr_0(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_96, plain, (~v2_struct_0(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_97, plain, (v2_struct_0(X1)|m1_subset_1(k2_funct_5(X2),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X3),u1_struct_0(X1))))|v1_xboole_0(X4)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)|~m1_gr_free0(X2,X4,X3,X1)|~v3_group_7(X3,X4)|~v2_group_7(X3,X4)|~v1_group_7(X3)|~v1_partfun1(X3,X4)|~v1_funct_1(X3)|~v4_relat_1(X3,X4)|~v1_relat_1(X3)), inference(spm,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_98, plain, (v1_funct_1(k2_funct_5(X1))|v2_struct_0(X4)|v1_xboole_0(X2)|~m1_gr_free0(X1,X2,X3,X4)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_99, plain, (v2_struct_0(X1)|v1_funct_2(k2_funct_5(X2),k1_gr_free0(X3),u1_struct_0(X1))|v1_xboole_0(X4)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)|~m1_gr_free0(X2,X4,X3,X1)|~v3_group_7(X3,X4)|~v2_group_7(X3,X4)|~v1_group_7(X3)|~v1_partfun1(X3,X4)|~v1_funct_1(X3)|~v4_relat_1(X3,X4)|~v1_relat_1(X3)), inference(spm,[status(thm)],[c_0_72, c_0_70])).
cnf(c_0_100, plain, (k3_relat_1(k9_finseq_1(X2),X1)=k9_finseq_1(k1_funct_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~r2_tarski(X2,k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_101, plain, (X4=k1_group_1(k2_group_19(X1,X3,X2))|k7_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k5_finseq_1(k4_tarski(X2,X4))|v1_xboole_0(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_group_7(X3)|~m1_subset_1(X2,X1)|~v4_relat_1(X3,X1)|~v1_partfun1(X3,X1)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))), inference(rw,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_102, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_103, negated_conjecture, (v3_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_104, negated_conjecture, (v2_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_105, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_106, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_107, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_108, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_109, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_110, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_111, negated_conjecture, (esk4_0!=k1_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_112, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_113, plain, (k1_binop_1(X1,X2,X3)=k1_funct_1(X1,k4_tarski(X2,X3))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_114, plain, (k1_binop_1(k2_funct_5(X1),X2,X3)=k1_funct_1(k1_funct_1(X1,X2),X3)|~r2_hidden(X3,k9_xtuple_0(k1_funct_1(X1,X2)))|~r2_hidden(X2,k9_xtuple_0(X1))|~v1_funct_1(k1_funct_1(X1,X2))|~v1_funct_1(X1)|~v1_relat_1(k1_funct_1(X1,X2))|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_78])).
cnf(c_0_115, plain, (k1_funct_1(X1,X4)=k6_gr_free0(X2,X3,X4)|v1_xboole_0(X2)|X1!=k8_gr_free0(X2,X3)|~m1_subset_1(X4,X2)|~m1_gr_free0(X1,X2,X3,k4_gr_free0(X2,X3))|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_116, plain, (v1_relat_1(X1)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_117, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_118, plain, (v1_relat_1(k2_funct_5(X1))|v2_struct_0(X4)|v1_xboole_0(X2)|~m1_gr_free0(X1,X2,X3,X4)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_119, plain, (v1_funct_1(X1)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_80])).
fof(c_0_120, plain, ![X166, X167]:(~v1_relat_1(X167)|~v4_relat_1(X167,X166)|k1_relset_1(X166,X167)=k9_xtuple_0(X167)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
cnf(c_0_121, plain, (X2=k1_relset_1(X2,X1)|X3=k1_xboole_0|~v1_funct_2(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_122, plain, (v4_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_123, negated_conjecture, (k11_gr_free0(esk1_0,esk3_0,k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))!=k1_group_19(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)),k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_124, plain, (k5_gr_free0(X1,X2,X3,X4)=k1_funct_1(k6_gr_free0(X1,X2,X3),X4)|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89])).
cnf(c_0_125, plain, (v1_xboole_0(X1)|v2_struct_0(X3)|k10_gr_free0(X1,X2,X3,X4,X5)=k3_relat_1(X4,X5)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_finseq_1(X4,k1_gr_free0(X2))|~v1_funct_1(X5)|~v1_funct_2(X5,k1_gr_free0(X2),u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_126, plain, (k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k7_gr_free0(X1,X2,X3),k2_funct_5(k8_gr_free0(X1,X2)))=k11_gr_free0(X1,X2,X3)|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_70]), c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_127, plain, (m1_subset_1(k2_funct_5(k8_gr_free0(X1,X2)),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(k4_gr_free0(X1,X2)))))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_128, plain, (v1_funct_1(k2_funct_5(k8_gr_free0(X1,X2)))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_129, plain, (v1_funct_2(k2_funct_5(k8_gr_free0(X1,X2)),k1_gr_free0(X2),u1_struct_0(k4_gr_free0(X1,X2)))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_130, plain, (k3_relat_1(k5_finseq_1(X2),X1)=k5_finseq_1(k1_funct_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~r2_tarski(X2,k9_xtuple_0(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_75]), c_0_75])).
cnf(c_0_131, negated_conjecture, (k5_finseq_1(k4_tarski(esk2_0,esk4_0))=k7_gr_free0(esk1_0,esk3_0,k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_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(spm,[status(thm)],[c_0_101, c_0_102]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), c_0_110])]), c_0_111]), c_0_112])).
cnf(c_0_132, plain, (k1_funct_1(k1_funct_1(X1,X2),X3)=k1_funct_1(k2_funct_5(X1),k4_tarski(X2,X3))|~r2_hidden(X3,k9_xtuple_0(k1_funct_1(X1,X2)))|~r2_hidden(X2,k9_xtuple_0(X1))|~v1_funct_1(k1_funct_1(X1,X2))|~v1_funct_1(k2_funct_5(X1))|~v1_funct_1(X1)|~v1_relat_1(k1_funct_1(X1,X2))|~v1_relat_1(k2_funct_5(X1))|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_133, plain, (k1_funct_1(k8_gr_free0(X1,X2),X3)=k6_gr_free0(X1,X2,X3)|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_115]), c_0_92])).
cnf(c_0_134, plain, (v1_relat_1(k8_gr_free0(X1,X2))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_135, plain, (v1_relat_1(k6_gr_free0(X1,X2,X3))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(spm,[status(thm)],[c_0_117, c_0_86])).
cnf(c_0_136, plain, (v1_relat_1(k2_funct_5(k8_gr_free0(X1,X2)))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_137, plain, (v1_funct_1(k8_gr_free0(X1,X2))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_138, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_120])).
cnf(c_0_139, plain, (k1_relset_1(u1_struct_0(k2_group_19(X1,X2,X3)),k6_gr_free0(X1,X2,X3))=u1_struct_0(k2_group_19(X1,X2,X3))|u1_struct_0(k4_gr_free0(X1,X2))=k1_xboole_0|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_88]), c_0_86])).
cnf(c_0_140, plain, (v4_relat_1(k6_gr_free0(X1,X2,X3),u1_struct_0(k2_group_19(X1,X2,X3)))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(spm,[status(thm)],[c_0_122, c_0_86])).
fof(c_0_141, plain, ![X181, X182]:((~r2_tarski(X181,X182)|r2_hidden(X181,X182))&(~r2_hidden(X181,X182)|r2_tarski(X181,X182))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_142, plain, ![X183, X184]:(~m1_subset_1(X183,X184)|(v1_xboole_0(X184)|r2_tarski(X183,X184))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_143, plain, ![X121, X122]:((~v1_partfun1(X122,X121)|k1_relset_1(X121,X122)=X121|(~v1_relat_1(X122)|~v4_relat_1(X122,X121)))&(k1_relset_1(X121,X122)!=X121|v1_partfun1(X122,X121)|(~v1_relat_1(X122)|~v4_relat_1(X122,X121)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_partfun1])])])).
cnf(c_0_144, negated_conjecture, (k11_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0))!=k1_group_19(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)),k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_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(spm,[status(thm)],[c_0_123, c_0_124]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), c_0_102]), c_0_110])]), c_0_112])).
cnf(c_0_145, plain, (k11_gr_free0(X1,X2,X3)=k3_relat_1(k7_gr_free0(X1,X2,X3),k2_funct_5(k8_gr_free0(X1,X2)))|v1_xboole_0(X1)|~m1_finseq_1(k7_gr_free0(X1,X2,X3),k1_gr_free0(X2))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,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(spm,[status(thm)],[c_0_125, c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_146, negated_conjecture, (k3_relat_1(k7_gr_free0(esk1_0,esk3_0,k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0)),X1)=k5_finseq_1(k1_funct_1(X1,k4_tarski(esk2_0,esk4_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(X1))|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_130, c_0_131])).
fof(c_0_147, plain, ![X1, X2]:((~v1_xboole_0(X1)&m1_subset_1(X2,X1))=>k1_group_19(X1,X2)=k5_finseq_1(X2)), inference(fof_simplification,[status(thm)],[redefinition_k1_group_19])).
cnf(c_0_148, plain, (k1_funct_1(k6_gr_free0(X1,X2,X3),X4)=k1_funct_1(k2_funct_5(k8_gr_free0(X1,X2)),k4_tarski(X3,X4))|v1_xboole_0(X1)|~r2_hidden(X4,k9_xtuple_0(k6_gr_free0(X1,X2,X3)))|~r2_hidden(X3,k9_xtuple_0(k8_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,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(spm,[status(thm)],[c_0_132, c_0_133]), c_0_134]), c_0_135]), c_0_136]), c_0_137]), c_0_87]), c_0_128])).
cnf(c_0_149, plain, (k9_xtuple_0(k6_gr_free0(X1,X2,X3))=u1_struct_0(k2_group_19(X1,X2,X3))|u1_struct_0(k4_gr_free0(X1,X2))=k1_xboole_0|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_139]), c_0_135]), c_0_140])).
cnf(c_0_150, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_141])).
cnf(c_0_151, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_142])).
cnf(c_0_152, plain, (k1_relset_1(X2,X1)=X2|~v1_partfun1(X1,X2)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_143])).
cnf(c_0_153, plain, (v1_partfun1(X1,X2)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_154, plain, (v4_relat_1(X1,X2)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_155, negated_conjecture, (k3_relat_1(k7_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0)),k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))!=k1_group_19(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)),k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0))|~m1_finseq_1(k7_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0)),k1_gr_free0(esk3_0))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_144, c_0_145]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])]), c_0_112])).
cnf(c_0_156, negated_conjecture, (k3_relat_1(k7_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0)),X1)=k5_finseq_1(k1_funct_1(X1,k4_tarski(esk2_0,esk4_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(X1))|~v1_funct_1(X1)|~v1_relat_1(X1)), 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(spm,[status(thm)],[c_0_146, c_0_124]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), c_0_102]), c_0_110])]), c_0_112])).
fof(c_0_157, plain, ![X164, X165]:(v1_xboole_0(X164)|~m1_subset_1(X165,X164)|k1_group_19(X164,X165)=k5_finseq_1(X165)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_147])])).
cnf(c_0_158, plain, (k1_funct_1(k6_gr_free0(X1,X2,X3),X4)=k1_funct_1(k2_funct_5(k8_gr_free0(X1,X2)),k4_tarski(X3,X4))|u1_struct_0(k4_gr_free0(X1,X2))=k1_xboole_0|v1_xboole_0(X1)|~r2_hidden(X4,u1_struct_0(k2_group_19(X1,X2,X3)))|~r2_hidden(X3,k9_xtuple_0(k8_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(spm,[status(thm)],[c_0_148, c_0_149])).
cnf(c_0_159, plain, (r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)), inference(spm,[status(thm)],[c_0_150, c_0_151])).
cnf(c_0_160, plain, (X1=k9_xtuple_0(X2)|~v1_partfun1(X2,X1)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_138, c_0_152])).
cnf(c_0_161, plain, (v1_partfun1(k8_gr_free0(X1,X2),X1)|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_162, plain, (v4_relat_1(k8_gr_free0(X1,X2),X1)|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_163, negated_conjecture, (k1_group_19(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)),k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0))!=k5_finseq_1(k1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)),k4_tarski(esk2_0,esk4_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(k2_funct_5(k8_gr_free0(esk1_0,esk3_0))))|~m1_finseq_1(k7_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0)),k1_gr_free0(esk3_0))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_155, c_0_156])).
cnf(c_0_164, plain, (v1_xboole_0(X1)|k1_group_19(X1,X2)=k5_finseq_1(X2)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_157])).
cnf(c_0_165, plain, (k1_funct_1(k6_gr_free0(X1,X2,X3),X4)=k1_funct_1(k2_funct_5(k8_gr_free0(X1,X2)),k4_tarski(X3,X4))|u1_struct_0(k4_gr_free0(X1,X2))=k1_xboole_0|v1_xboole_0(X1)|~r2_hidden(X3,k9_xtuple_0(k8_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_159]), c_0_89])).
cnf(c_0_166, plain, (k9_xtuple_0(k8_gr_free0(X1,X2))=X1|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_161]), c_0_134]), c_0_162])).
cnf(c_0_167, plain, (v1_partfun1(k2_funct_5(X1),k1_gr_free0(X2))|v2_struct_0(X4)|v1_xboole_0(X3)|~m1_gr_free0(X1,X3,X2,X4)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)|~v1_relat_1(X2)|~v4_relat_1(X2,X3)|~v1_funct_1(X2)|~v1_partfun1(X2,X3)|~v1_group_7(X2)|~v2_group_7(X2,X3)|~v3_group_7(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_168, plain, (v4_relat_1(k2_funct_5(X1),k1_gr_free0(X2))|v2_struct_0(X4)|v1_xboole_0(X3)|~m1_gr_free0(X1,X3,X2,X4)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)|~v1_relat_1(X2)|~v4_relat_1(X2,X3)|~v1_funct_1(X2)|~v1_partfun1(X2,X3)|~v1_group_7(X2)|~v2_group_7(X2,X3)|~v3_group_7(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_169, negated_conjecture, (v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|k5_finseq_1(k1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)),k4_tarski(esk2_0,esk4_0)))!=k5_finseq_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(k2_funct_5(k8_gr_free0(esk1_0,esk3_0))))|~m1_finseq_1(k7_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0)),k1_gr_free0(esk3_0))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_163, c_0_164])).
cnf(c_0_170, plain, (k1_funct_1(k6_gr_free0(X1,X2,X3),X4)=k1_funct_1(k2_funct_5(k8_gr_free0(X1,X2)),k4_tarski(X3,X4))|u1_struct_0(k4_gr_free0(X1,X2))=k1_xboole_0|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_166]), c_0_159])).
fof(c_0_171, plain, ![X179, X180]:((~m2_finseq_1(X180,X179)|m1_finseq_1(X180,X179))&(~m1_finseq_1(X180,X179)|m2_finseq_1(X180,X179))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
fof(c_0_172, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2))))=>m2_finseq_1(k7_gr_free0(X1,X2,X3),k1_gr_free0(X2))), inference(fof_simplification,[status(thm)],[dt_k7_gr_free0])).
cnf(c_0_173, plain, (r2_hidden(k4_tarski(X1,X2),k9_xtuple_0(k2_funct_5(X3)))|~r2_hidden(X1,k9_xtuple_0(X3))|X4!=k1_funct_1(X3,X1)|~r2_hidden(X2,k9_xtuple_0(X4))|~v1_relat_1(X4)|~v1_funct_1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_174, plain, (v1_partfun1(k2_funct_5(k8_gr_free0(X1,X2)),k1_gr_free0(X2))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_175, plain, (v4_relat_1(k2_funct_5(k8_gr_free0(X1,X2)),k1_gr_free0(X2))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])).
cnf(c_0_176, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(k2_funct_5(k8_gr_free0(esk1_0,esk3_0))))|~m1_finseq_1(k7_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0)),k1_gr_free0(esk3_0))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_169, c_0_170]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), c_0_102]), c_0_110])]), c_0_112])).
cnf(c_0_177, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_171])).
fof(c_0_178, plain, ![X140, X141, X142]:(v1_xboole_0(X140)|~v1_relat_1(X141)|~v4_relat_1(X141,X140)|~v1_funct_1(X141)|~v1_partfun1(X141,X140)|~v1_group_7(X141)|~v2_group_7(X141,X140)|~v3_group_7(X141,X140)|~m1_subset_1(X142,u1_struct_0(k3_gr_free0(X140,X141)))|m2_finseq_1(k7_gr_free0(X140,X141,X142),k1_gr_free0(X141))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])).
cnf(c_0_179, plain, (r2_hidden(k4_tarski(X1,X2),k9_xtuple_0(k2_funct_5(X3)))|~r2_hidden(X2,k9_xtuple_0(k1_funct_1(X3,X1)))|~r2_hidden(X1,k9_xtuple_0(X3))|~v1_funct_1(k1_funct_1(X3,X1))|~v1_funct_1(X3)|~v1_relat_1(k1_funct_1(X3,X1))|~v1_relat_1(X3)), inference(er,[status(thm)],[c_0_173])).
cnf(c_0_180, plain, (k9_xtuple_0(k2_funct_5(k8_gr_free0(X1,X2)))=k1_gr_free0(X2)|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_174]), c_0_136]), c_0_175])).
cnf(c_0_181, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(k2_funct_5(k8_gr_free0(esk1_0,esk3_0))))|~m2_finseq_1(k7_gr_free0(esk1_0,esk3_0,k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0)),k1_gr_free0(esk3_0))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_176, c_0_177])).
cnf(c_0_182, plain, (v1_xboole_0(X1)|m2_finseq_1(k7_gr_free0(X1,X2,X3),k1_gr_free0(X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_178])).
fof(c_0_183, plain, ![X172, X173]:(~v1_relat_1(X173)|~v4_relat_1(X173,X172)|~v1_funct_1(X173)|~v1_partfun1(X173,X172)|~v1_group_7(X173)|~v2_group_7(X173,X172)|~v3_group_7(X173,X172)|k4_gr_free0(X172,X173)=k3_gr_free0(X172,X173)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_gr_free0])])).
cnf(c_0_184, plain, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(X3))|v1_xboole_0(X4)|~r2_hidden(X2,k9_xtuple_0(k1_funct_1(k8_gr_free0(X4,X3),X1)))|~r2_hidden(X1,k9_xtuple_0(k8_gr_free0(X4,X3)))|~v3_group_7(X3,X4)|~v2_group_7(X3,X4)|~v1_group_7(X3)|~v1_partfun1(X3,X4)|~v1_funct_1(k1_funct_1(k8_gr_free0(X4,X3),X1))|~v1_funct_1(X3)|~v4_relat_1(X3,X4)|~v1_relat_1(k1_funct_1(k8_gr_free0(X4,X3),X1))|~v1_relat_1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_180]), c_0_134]), c_0_137])).
cnf(c_0_185, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(k2_funct_5(k8_gr_free0(esk1_0,esk3_0))))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_181, c_0_182]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])]), c_0_112])).
cnf(c_0_186, plain, (k4_gr_free0(X2,X1)=k3_gr_free0(X2,X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)|~v3_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_183])).
cnf(c_0_187, plain, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(X3))|v1_xboole_0(X4)|~r2_hidden(X2,k9_xtuple_0(k6_gr_free0(X4,X3,X1)))|~r2_hidden(X1,k9_xtuple_0(k8_gr_free0(X4,X3)))|~v3_group_7(X3,X4)|~v2_group_7(X3,X4)|~v1_group_7(X3)|~v1_partfun1(X3,X4)|~v1_funct_1(X3)|~v4_relat_1(X3,X4)|~v1_relat_1(X3)|~m1_subset_1(X1,X4)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184, c_0_133]), c_0_135]), c_0_87])).
cnf(c_0_188, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k9_xtuple_0(k2_funct_5(k8_gr_free0(esk1_0,esk3_0))))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), 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(spm,[status(thm)],[c_0_185, c_0_186]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])])).
cnf(c_0_189, plain, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(X3))|v1_xboole_0(k9_xtuple_0(k6_gr_free0(X4,X3,X1)))|v1_xboole_0(X4)|~r2_hidden(X1,k9_xtuple_0(k8_gr_free0(X4,X3)))|~v3_group_7(X3,X4)|~v2_group_7(X3,X4)|~v1_group_7(X3)|~v1_partfun1(X3,X4)|~v1_funct_1(X3)|~v4_relat_1(X3,X4)|~v1_relat_1(X3)|~m1_subset_1(X2,k9_xtuple_0(k6_gr_free0(X4,X3,X1)))|~m1_subset_1(X1,X4)), inference(spm,[status(thm)],[c_0_187, c_0_159])).
cnf(c_0_190, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_tarski(k4_tarski(esk2_0,esk4_0),k1_gr_free0(esk3_0))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_188, c_0_180]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])]), c_0_112])).
cnf(c_0_191, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_141])).
cnf(c_0_192, plain, (u1_struct_0(k4_gr_free0(X1,X2))=k1_xboole_0|r2_hidden(k4_tarski(X3,X4),k1_gr_free0(X2))|v1_xboole_0(X1)|~r2_hidden(X3,k9_xtuple_0(k8_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189, c_0_149]), c_0_89])).
cnf(c_0_193, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_hidden(k4_tarski(esk2_0,esk4_0),k1_gr_free0(esk3_0))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_190, c_0_191])).
cnf(c_0_194, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|r2_hidden(k4_tarski(esk2_0,esk4_0),k1_gr_free0(esk3_0))|~r2_hidden(esk2_0,k9_xtuple_0(k8_gr_free0(esk1_0,esk3_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_192, c_0_102]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), c_0_110])]), c_0_112])).
cnf(c_0_195, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_hidden(esk2_0,k9_xtuple_0(k8_gr_free0(esk1_0,esk3_0)))|~v1_funct_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_193, c_0_194])).
fof(c_0_196, plain, ![X1, X2, X3, X4]:((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3))))=>m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k5_gr_free0])).
cnf(c_0_197, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_hidden(esk2_0,k9_xtuple_0(k8_gr_free0(esk1_0,esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_195, c_0_128]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])]), c_0_112])).
fof(c_0_198, plain, ![X133, X134, X135, X136]:(v1_xboole_0(X133)|~v1_relat_1(X134)|~v4_relat_1(X134,X133)|~v1_funct_1(X134)|~v1_partfun1(X134,X133)|~v1_group_7(X134)|~v2_group_7(X134,X133)|~v3_group_7(X134,X133)|~m1_subset_1(X135,X133)|~m1_subset_1(X136,u1_struct_0(k2_group_19(X133,X134,X135)))|m1_subset_1(k5_gr_free0(X133,X134,X135,X136),u1_struct_0(k4_gr_free0(X133,X134)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_196])])).
cnf(c_0_199, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_hidden(esk2_0,k9_xtuple_0(k8_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_197, c_0_136]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])]), c_0_112])).
cnf(c_0_200, plain, (v1_xboole_0(X1)|m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_198])).
cnf(c_0_201, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_hidden(esk2_0,esk1_0)|~m1_subset_1(k1_funct_1(k6_gr_free0(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_199, c_0_166]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])]), c_0_112])).
cnf(c_0_202, plain, (m1_subset_1(k1_funct_1(k6_gr_free0(X1,X2,X3),X4),u1_struct_0(k4_gr_free0(X1,X2)))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))|~m1_subset_1(X3,X1)), inference(spm,[status(thm)],[c_0_200, c_0_124])).
cnf(c_0_203, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
cnf(c_0_204, negated_conjecture, (k1_xboole_0=u1_struct_0(k4_gr_free0(esk1_0,esk3_0))|v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_hidden(esk2_0,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(spm,[status(thm)],[c_0_201, c_0_202]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), c_0_102]), c_0_110])]), c_0_112])).
cnf(c_0_205, plain, (~l3_algstr_0(k4_gr_free0(X1,X2))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~v1_xboole_0(u1_struct_0(k4_gr_free0(X1,X2)))), inference(spm,[status(thm)],[c_0_96, c_0_63])).
cnf(c_0_206, negated_conjecture, (v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~r2_hidden(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_203, c_0_204])).
cnf(c_0_207, plain, (~v3_group_7(X1,X2)|~v2_group_7(X1,X2)|~v1_group_7(X1)|~v1_partfun1(X1,X2)|~v1_funct_1(X1)|~v4_relat_1(X1,X2)|~v1_relat_1(X1)|~v1_xboole_0(u1_struct_0(k4_gr_free0(X2,X1)))), inference(spm,[status(thm)],[c_0_205, c_0_95])).
cnf(c_0_208, negated_conjecture, (v1_xboole_0(u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206, c_0_159]), c_0_110])]), c_0_112])).
cnf(c_0_209, negated_conjecture, ($false), 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(spm,[status(thm)],[c_0_207, c_0_208]), c_0_103]), c_0_104]), c_0_105]), c_0_106]), c_0_107]), c_0_108]), c_0_109])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 210
# Proof object clause steps            : 124
# Proof object formula steps           : 86
# Proof object conjectures             : 37
# Proof object clause conjectures      : 34
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 60
# Proof object initial formulas used   : 34
# Proof object generating inferences   : 59
# Proof object simplifying inferences  : 222
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 34
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 74
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 73
# Processed clauses                    : 345
# ...of these trivial                  : 0
# ...subsumed                          : 69
# ...remaining for further processing  : 276
# Other redundant clauses eliminated   : 9
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 10
# Backward-rewritten                   : 10
# Generated clauses                    : 244
# ...of the previous two non-trivial   : 236
# Contextual simplify-reflections      : 109
# Paramodulations                      : 235
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 10
# 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  : 177
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 160
# Current number of unprocessed clauses: 36
# ...number of literals in the above   : 501
# Current number of archived formulas  : 0
# Current number of archived clauses   : 94
# Clause-clause subsumption calls (NU) : 42674
# Rec. Clause-clause subsumption calls : 895
# Non-unit clause-clause subsumptions  : 188
# Unit Clause-clause subsumption calls : 1
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 28262

# -------------------------------------------------
# User time                : 0.066 s
# System time              : 0.007 s
# Total time               : 0.073 s
# Maximum resident set size: 3588 pages
