# 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       : 0.034 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(free_g3_algstr_0, axiom, ![X1, X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X3, X4]:(g3_algstr_0(X1,X2)=g3_algstr_0(X3,X4)=>(X1=X3&X2=X4))), file('gr_free0/gr_free0__t46_gr_free0', free_g3_algstr_0)).
fof(dt_u2_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>((v1_funct_1(u2_algstr_0(X1))&v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u2_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('gr_free0/gr_free0__t46_gr_free0', dt_u2_algstr_0)).
fof(abstractness_v15_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>(v15_algstr_0(X1)=>X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('gr_free0/gr_free0__t46_gr_free0', abstractness_v15_algstr_0)).
fof(d5_algstr_4, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(((((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>k4_algstr_4(X1,X2)=g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),X2),k3_algstr_4(X1,X2)))), file('gr_free0/gr_free0__t46_gr_free0', d5_algstr_4)).
fof(dt_k4_algstr_4, axiom, ![X1, X2]:((((((l3_algstr_0(X1)&v1_partfun1(X2,u1_struct_0(X1)))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>l3_algstr_0(k4_algstr_4(X1,X2))), file('gr_free0/gr_free0__t46_gr_free0', dt_k4_algstr_4)).
fof(fc3_algstr_4, axiom, ![X1, X2]:((((((l3_algstr_0(X1)&v1_partfun1(X2,u1_struct_0(X1)))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>v15_algstr_0(k4_algstr_4(X1,X2))), file('gr_free0/gr_free0__t46_gr_free0', fc3_algstr_4)).
fof(dt_k1_msualg_5, axiom, ![X1, X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))=>(((v1_partfun1(k1_msualg_5(X1,X2),X1)&v3_relat_2(k1_msualg_5(X1,X2)))&v8_relat_2(k1_msualg_5(X1,X2)))&m1_subset_1(k1_msualg_5(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X1))))), file('gr_free0/gr_free0__t46_gr_free0', dt_k1_msualg_5)).
fof(dt_k10_monoid_0, axiom, ![X1]:(((~(v2_struct_0(k10_monoid_0(X1)))&v22_algstr_0(k10_monoid_0(X1)))&v4_vectsp_1(k10_monoid_0(X1)))&m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), file('gr_free0/gr_free0__t46_gr_free0', dt_k10_monoid_0)).
fof(dt_k9_monoid_0, axiom, ![X1]:(((((((~(v2_struct_0(k9_monoid_0(X1)))&v15_algstr_0(k9_monoid_0(X1)))&v1_group_1(k9_monoid_0(X1)))&v3_group_1(k9_monoid_0(X1)))&v2_monoid_0(k9_monoid_0(X1)))&v16_monoid_0(k9_monoid_0(X1)))&v17_monoid_0(k9_monoid_0(X1)))&l3_algstr_0(k9_monoid_0(X1))), file('gr_free0/gr_free0__t46_gr_free0', dt_k9_monoid_0)).
fof(dt_m1_monoid_0, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(m1_monoid_0(X2,X1)=>l4_algstr_0(X2))), file('gr_free0/gr_free0__t46_gr_free0', dt_m1_monoid_0)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('gr_free0/gr_free0__t46_gr_free0', dt_l4_algstr_0)).
fof(d4_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))=>k3_gr_free0(X1,X2)=k4_algstr_4(k10_monoid_0(k1_gr_free0(X2)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t46_gr_free0', d4_gr_free0)).
fof(dt_k2_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))=>m1_subset_1(k2_gr_free0(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))))), file('gr_free0/gr_free0__t46_gr_free0', dt_k2_gr_free0)).
fof(fc9_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))=>(((v1_partfun1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))&v3_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))))&v8_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))))&v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k10_monoid_0(k1_gr_free0(X2))))), file('gr_free0/gr_free0__t46_gr_free0', fc9_gr_free0)).
fof(t46_gr_free0, conjecture, ![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]:(m2_finseq_1(X3,k1_gr_free0(X2))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(k3_gr_free0(X1,X2)))=>![X6]:(m1_subset_1(X6,u1_struct_0(k3_gr_free0(X1,X2)))=>((X5=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),X3)&X6=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),X4))=>k6_algstr_0(k3_gr_free0(X1,X2),X5,X6)=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k1_monoid_0(k1_gr_free0(X2),X3,X4))))))))), file('gr_free0/gr_free0__t46_gr_free0', t46_gr_free0)).
fof(t61_monoid_0, axiom, ![X1]:((u1_struct_0(k10_monoid_0(X1))=k3_finseq_2(X1)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X1)),u1_struct_0(k10_monoid_0(X1))),u1_struct_0(k10_monoid_0(X1)),k2_zfmisc_1(k3_finseq_2(X1),k3_finseq_2(X1)),k3_finseq_2(X1),u2_algstr_0(k10_monoid_0(X1)),k11_monoid_0(X1)))&k5_struct_0(k10_monoid_0(X1))=k1_xboole_0), file('gr_free0/gr_free0__t46_gr_free0', t61_monoid_0)).
fof(redefinition_k3_finseq_2, axiom, ![X1]:k3_finseq_2(X1)=k13_finseq_1(X1), file('gr_free0/gr_free0__t46_gr_free0', redefinition_k3_finseq_2)).
fof(d11_finseq_1, axiom, ![X1, X2]:(X2=k13_finseq_1(X1)<=>![X3]:(r2_hidden(X3,X2)<=>m2_finseq_1(X3,X1))), file('gr_free0/gr_free0__t46_gr_free0', d11_finseq_1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('gr_free0/gr_free0__t46_gr_free0', t1_subset)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t46_gr_free0', redefinition_r2_tarski)).
fof(redefinition_k1_monoid_0, axiom, ![X1, X2, X3]:((m1_finseq_1(X2,X1)&m1_finseq_1(X3,X1))=>k1_monoid_0(X1,X2,X3)=k7_finseq_1(X2,X3)), file('gr_free0/gr_free0__t46_gr_free0', redefinition_k1_monoid_0)).
fof(d18_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k6_algstr_0(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_algstr_0(X1),X2,X3)))), file('gr_free0/gr_free0__t46_gr_free0', d18_algstr_0)).
fof(t62_monoid_0, axiom, ![X1, X2]:(m1_subset_1(X2,u1_struct_0(k10_monoid_0(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k10_monoid_0(X1)))=>k6_algstr_0(k10_monoid_0(X1),X2,X3)=k7_finseq_1(X2,X3))), file('gr_free0/gr_free0__t46_gr_free0', t62_monoid_0)).
fof(d4_algstr_4, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(((((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2)))))=>((~(v2_struct_0(X1))=>(X3=k3_algstr_4(X1,X2)<=>![X4]:(m1_subset_1(X4,k8_eqrel_1(u1_struct_0(X1),X2))=>![X5]:(m1_subset_1(X5,k8_eqrel_1(u1_struct_0(X1),X2))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>![X7]:(m1_subset_1(X7,u1_struct_0(X1))=>((X4=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X6)&X5=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X7))=>k4_binop_1(k8_eqrel_1(u1_struct_0(X1),X2),X3,X4,X5)=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,k6_algstr_0(X1,X6,X7)))))))))&(v2_struct_0(X1)=>(X3=k3_algstr_4(X1,X2)<=>X3=k1_xboole_0)))))), file('gr_free0/gr_free0__t46_gr_free0', d4_algstr_4)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('gr_free0/gr_free0__t46_gr_free0', redefinition_m2_finseq_1)).
fof(c_0_25, plain, ![X106, X107, X108, X109]:((X106=X108|g3_algstr_0(X106,X107)!=g3_algstr_0(X108,X109)|(~v1_funct_1(X107)|~v1_funct_2(X107,k2_zfmisc_1(X106,X106),X106)|~m1_subset_1(X107,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X106,X106),X106)))))&(X107=X109|g3_algstr_0(X106,X107)!=g3_algstr_0(X108,X109)|(~v1_funct_1(X107)|~v1_funct_2(X107,k2_zfmisc_1(X106,X106),X106)|~m1_subset_1(X107,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X106,X106),X106)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_algstr_0])])])])).
fof(c_0_26, plain, ![X101]:(((v1_funct_1(u2_algstr_0(X101))|~l3_algstr_0(X101))&(v1_funct_2(u2_algstr_0(X101),k2_zfmisc_1(u1_struct_0(X101),u1_struct_0(X101)),u1_struct_0(X101))|~l3_algstr_0(X101)))&(m1_subset_1(u2_algstr_0(X101),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X101),u1_struct_0(X101)),u1_struct_0(X101))))|~l3_algstr_0(X101))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_algstr_0])])])).
cnf(c_0_27, plain, (X1=X2|g3_algstr_0(X1,X3)!=g3_algstr_0(X2,X4)|~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)))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_28, plain, (m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_29, plain, (v1_funct_1(u2_algstr_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_30, plain, (v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_31, plain, ![X72]:(~l3_algstr_0(X72)|(~v15_algstr_0(X72)|X72=g3_algstr_0(u1_struct_0(X72),u2_algstr_0(X72)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v15_algstr_0])])).
cnf(c_0_32, plain, (u1_struct_0(X1)=X2|g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))!=g3_algstr_0(X2,X3)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29]), c_0_30])).
cnf(c_0_33, plain, (X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~l3_algstr_0(X1)|~v15_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_34, plain, ![X88, X89]:(~l3_algstr_0(X88)|(~v1_partfun1(X89,u1_struct_0(X88))|~v3_relat_2(X89)|~v8_relat_2(X89)|~v1_algstr_4(X89,X88)|~m1_subset_1(X89,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X88),u1_struct_0(X88))))|k4_algstr_4(X88,X89)=g3_algstr_0(k8_eqrel_1(u1_struct_0(X88),X89),k3_algstr_4(X88,X89)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_algstr_4])])])).
fof(c_0_35, plain, ![X95, X96]:(~l3_algstr_0(X95)|~v1_partfun1(X96,u1_struct_0(X95))|~v3_relat_2(X96)|~v8_relat_2(X96)|~v1_algstr_4(X96,X95)|~m1_subset_1(X96,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X95),u1_struct_0(X95))))|l3_algstr_0(k4_algstr_4(X95,X96))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_algstr_4])])).
fof(c_0_36, plain, ![X102, X103]:(~l3_algstr_0(X102)|~v1_partfun1(X103,u1_struct_0(X102))|~v3_relat_2(X103)|~v8_relat_2(X103)|~v1_algstr_4(X103,X102)|~m1_subset_1(X103,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X102),u1_struct_0(X102))))|v15_algstr_0(k4_algstr_4(X102,X103))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_algstr_4])])).
cnf(c_0_37, plain, (u1_struct_0(g3_algstr_0(X1,X2))=X1|~v15_algstr_0(g3_algstr_0(X1,X2))|~l3_algstr_0(g3_algstr_0(X1,X2))), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33])])).
cnf(c_0_38, plain, (k4_algstr_4(X1,X2)=g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),X2),k3_algstr_4(X1,X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_39, plain, (l3_algstr_0(k4_algstr_4(X1,X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_40, plain, (v15_algstr_0(k4_algstr_4(X1,X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_41, plain, ![X91, X92]:((((v1_partfun1(k1_msualg_5(X91,X92),X91)|~m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(X91,X91))))&(v3_relat_2(k1_msualg_5(X91,X92))|~m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(X91,X91)))))&(v8_relat_2(k1_msualg_5(X91,X92))|~m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(X91,X91)))))&(m1_subset_1(k1_msualg_5(X91,X92),k1_zfmisc_1(k2_zfmisc_1(X91,X91)))|~m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(X91,X91))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_msualg_5])])])).
fof(c_0_42, plain, ![X1]:(((~v2_struct_0(k10_monoid_0(X1))&v22_algstr_0(k10_monoid_0(X1)))&v4_vectsp_1(k10_monoid_0(X1)))&m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), inference(fof_simplification,[status(thm)],[dt_k10_monoid_0])).
fof(c_0_43, plain, ![X1]:(((((((~v2_struct_0(k9_monoid_0(X1))&v15_algstr_0(k9_monoid_0(X1)))&v1_group_1(k9_monoid_0(X1)))&v3_group_1(k9_monoid_0(X1)))&v2_monoid_0(k9_monoid_0(X1)))&v16_monoid_0(k9_monoid_0(X1)))&v17_monoid_0(k9_monoid_0(X1)))&l3_algstr_0(k9_monoid_0(X1))), inference(fof_simplification,[status(thm)],[dt_k9_monoid_0])).
cnf(c_0_44, plain, (X1=X2|g3_algstr_0(X3,X1)!=g3_algstr_0(X4,X2)|~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)))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_45, plain, (u1_struct_0(k4_algstr_4(X1,X2))=k8_eqrel_1(u1_struct_0(X1),X2)|~v1_algstr_4(X2,X1)|~v8_relat_2(X2)|~v3_relat_2(X2)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_partfun1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39]), c_0_40])).
cnf(c_0_46, plain, (m1_subset_1(k1_msualg_5(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_47, plain, (v1_partfun1(k1_msualg_5(X1,X2),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_48, plain, (v3_relat_2(k1_msualg_5(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_49, plain, (v8_relat_2(k1_msualg_5(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_50, plain, ![X99, X100]:(~l3_algstr_0(X99)|(~m1_monoid_0(X100,X99)|l4_algstr_0(X100))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_monoid_0])])])).
fof(c_0_51, plain, ![X90]:(((~v2_struct_0(k10_monoid_0(X90))&v22_algstr_0(k10_monoid_0(X90)))&v4_vectsp_1(k10_monoid_0(X90)))&m1_monoid_0(k10_monoid_0(X90),k9_monoid_0(X90))), inference(variable_rename,[status(thm)],[c_0_42])).
fof(c_0_52, plain, ![X97]:(((((((~v2_struct_0(k9_monoid_0(X97))&v15_algstr_0(k9_monoid_0(X97)))&v1_group_1(k9_monoid_0(X97)))&v3_group_1(k9_monoid_0(X97)))&v2_monoid_0(k9_monoid_0(X97)))&v16_monoid_0(k9_monoid_0(X97)))&v17_monoid_0(k9_monoid_0(X97)))&l3_algstr_0(k9_monoid_0(X97))), inference(variable_rename,[status(thm)],[c_0_43])).
cnf(c_0_53, plain, (u2_algstr_0(X1)=X2|g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))!=g3_algstr_0(X3,X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_28]), c_0_29]), c_0_30])).
cnf(c_0_54, plain, (u1_struct_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))=k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_48]), c_0_49])).
cnf(c_0_55, plain, (l3_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_46]), c_0_47]), c_0_48]), c_0_49])).
cnf(c_0_56, plain, (v15_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_46]), c_0_47]), c_0_48]), c_0_49])).
fof(c_0_57, plain, ![X98]:((l3_struct_0(X98)|~l4_algstr_0(X98))&(l3_algstr_0(X98)|~l4_algstr_0(X98))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_58, plain, (l4_algstr_0(X2)|~l3_algstr_0(X1)|~m1_monoid_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_59, plain, (m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_60, plain, (l3_algstr_0(k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_61, plain, (u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))=X3|g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)),u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))))!=g3_algstr_0(X4,X3)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])).
cnf(c_0_62, plain, (g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)),u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))))=k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_54]), c_0_55]), c_0_56])).
fof(c_0_63, plain, ![X86, X87]:(~v1_relat_1(X87)|~v4_relat_1(X87,X86)|~v1_funct_1(X87)|~v1_partfun1(X87,X86)|~v1_group_7(X87)|~v2_group_7(X87,X86)|~v3_group_7(X87,X86)|k3_gr_free0(X86,X87)=k4_algstr_4(k10_monoid_0(k1_gr_free0(X87)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X87))),k2_gr_free0(X86,X87)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_gr_free0])])).
cnf(c_0_64, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_65, plain, (l4_algstr_0(k10_monoid_0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60])])).
fof(c_0_66, plain, ![X93, X94]:(~v1_relat_1(X94)|~v4_relat_1(X94,X93)|~v1_funct_1(X94)|~v1_partfun1(X94,X93)|~v1_group_7(X94)|~v2_group_7(X94,X93)|m1_subset_1(k2_gr_free0(X93,X94),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X94))),u1_struct_0(k10_monoid_0(k1_gr_free0(X94))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
fof(c_0_67, plain, ![X104, X105]:((((v1_partfun1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X105))),k2_gr_free0(X104,X105)),u1_struct_0(k10_monoid_0(k1_gr_free0(X105))))|(~v1_relat_1(X105)|~v4_relat_1(X105,X104)|~v1_funct_1(X105)|~v1_partfun1(X105,X104)|~v1_group_7(X105)|~v2_group_7(X105,X104)|~v3_group_7(X105,X104)))&(v3_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X105))),k2_gr_free0(X104,X105)))|(~v1_relat_1(X105)|~v4_relat_1(X105,X104)|~v1_funct_1(X105)|~v1_partfun1(X105,X104)|~v1_group_7(X105)|~v2_group_7(X105,X104)|~v3_group_7(X105,X104))))&(v8_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X105))),k2_gr_free0(X104,X105)))|(~v1_relat_1(X105)|~v4_relat_1(X105,X104)|~v1_funct_1(X105)|~v1_partfun1(X105,X104)|~v1_group_7(X105)|~v2_group_7(X105,X104)|~v3_group_7(X105,X104))))&(v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X105))),k2_gr_free0(X104,X105)),k10_monoid_0(k1_gr_free0(X105)))|(~v1_relat_1(X105)|~v4_relat_1(X105,X104)|~v1_funct_1(X105)|~v1_partfun1(X105,X104)|~v1_group_7(X105)|~v2_group_7(X105,X104)|~v3_group_7(X105,X104)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_gr_free0])])])).
fof(c_0_68, negated_conjecture, ~(![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]:(m2_finseq_1(X3,k1_gr_free0(X2))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(k3_gr_free0(X1,X2)))=>![X6]:(m1_subset_1(X6,u1_struct_0(k3_gr_free0(X1,X2)))=>((X5=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),X3)&X6=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),X4))=>k6_algstr_0(k3_gr_free0(X1,X2),X5,X6)=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k1_monoid_0(k1_gr_free0(X2),X3,X4)))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t46_gr_free0])])).
cnf(c_0_69, plain, (u2_algstr_0(g3_algstr_0(X1,X2))=X2|~v15_algstr_0(g3_algstr_0(X1,X2))|~l3_algstr_0(g3_algstr_0(X1,X2))), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_33])])).
cnf(c_0_70, plain, (u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))=X3|k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))!=g3_algstr_0(X4,X3)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
cnf(c_0_71, plain, (k3_gr_free0(X2,X1)=k4_algstr_4(k10_monoid_0(k1_gr_free0(X1)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_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_63])).
cnf(c_0_72, plain, (l3_algstr_0(k10_monoid_0(X1))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_73, plain, (m1_subset_1(k2_gr_free0(X2,X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(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)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_74, plain, (v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)),k10_monoid_0(k1_gr_free0(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_67])).
fof(c_0_75, negated_conjecture, (~v1_xboole_0(esk1_0)&(((((((v1_relat_1(esk2_0)&v4_relat_1(esk2_0,esk1_0))&v1_funct_1(esk2_0))&v1_partfun1(esk2_0,esk1_0))&v1_group_7(esk2_0))&v2_group_7(esk2_0,esk1_0))&v3_group_7(esk2_0,esk1_0))&(m2_finseq_1(esk3_0,k1_gr_free0(esk2_0))&(m2_finseq_1(esk4_0,k1_gr_free0(esk2_0))&(m1_subset_1(esk5_0,u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))&(m1_subset_1(esk6_0,u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))&((esk5_0=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),esk3_0)&esk6_0=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),esk4_0))&k6_algstr_0(k3_gr_free0(esk1_0,esk2_0),esk5_0,esk6_0)!=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k1_monoid_0(k1_gr_free0(esk2_0),esk3_0,esk4_0))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])).
cnf(c_0_76, plain, (u2_algstr_0(k4_algstr_4(X1,X2))=k3_algstr_4(X1,X2)|~v1_algstr_4(X2,X1)|~v8_relat_2(X2)|~v3_relat_2(X2)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_partfun1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_38]), c_0_39]), c_0_40])).
cnf(c_0_77, plain, (u2_algstr_0(k3_gr_free0(X1,X2))=X3|k3_gr_free0(X1,X2)!=g3_algstr_0(X4,X3)|~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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72])]), c_0_73]), c_0_74])).
cnf(c_0_78, negated_conjecture, (v3_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_79, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_80, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_81, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_82, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_83, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_84, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_85, plain, (u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))=k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_46]), c_0_47]), c_0_48]), c_0_49])).
cnf(c_0_86, negated_conjecture, (u2_algstr_0(k3_gr_free0(esk1_0,esk2_0))=X1|k3_gr_free0(esk1_0,esk2_0)!=g3_algstr_0(X2,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(spm,[status(thm)],[c_0_77, c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_87, plain, (g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)),k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))=k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(spm,[status(thm)],[c_0_62, c_0_85])).
cnf(c_0_88, negated_conjecture, (u2_algstr_0(k3_gr_free0(esk1_0,esk2_0))=k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))|k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))!=k3_gr_free0(esk1_0,esk2_0)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_89, plain, (k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))=u1_struct_0(k3_gr_free0(X2,X1))|~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)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_71]), c_0_72])]), c_0_73]), c_0_74])).
cnf(c_0_90, plain, (v1_partfun1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)),u1_struct_0(k10_monoid_0(k1_gr_free0(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_67])).
cnf(c_0_91, plain, (v3_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))|~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)), inference(spm,[status(thm)],[c_0_48, c_0_73])).
cnf(c_0_92, plain, (v8_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))|~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)), inference(spm,[status(thm)],[c_0_49, c_0_73])).
cnf(c_0_93, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(X1)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))=u2_algstr_0(k3_gr_free0(esk1_0,esk2_0))|k4_algstr_4(k10_monoid_0(k1_gr_free0(X1)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))!=k3_gr_free0(esk1_0,esk2_0)|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)),k10_monoid_0(k1_gr_free0(X1)))|~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)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_73]), c_0_72])])).
cnf(c_0_94, plain, (g3_algstr_0(u1_struct_0(k3_gr_free0(X1,X2)),k3_algstr_4(k10_monoid_0(k1_gr_free0(X2)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))))=k4_algstr_4(k10_monoid_0(k1_gr_free0(X2)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)))|~m1_subset_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(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)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_89]), c_0_72])]), c_0_90]), c_0_91]), c_0_92]), c_0_74])).
cnf(c_0_95, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(X1)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))=u2_algstr_0(k3_gr_free0(esk1_0,esk2_0))|k3_gr_free0(X2,X1)!=k3_gr_free0(esk1_0,esk2_0)|~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)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_71]), c_0_74])).
cnf(c_0_96, negated_conjecture, (g3_algstr_0(u1_struct_0(k3_gr_free0(X1,X2)),u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)))=k4_algstr_4(k10_monoid_0(k1_gr_free0(X2)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)))|k3_gr_free0(X1,X2)!=k3_gr_free0(esk1_0,esk2_0)|~m1_subset_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(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)), inference(spm,[status(thm)],[c_0_94, c_0_95])).
cnf(c_0_97, negated_conjecture, (g3_algstr_0(u1_struct_0(k3_gr_free0(X1,X2)),u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)))=k4_algstr_4(k10_monoid_0(k1_gr_free0(X2)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)))|k3_gr_free0(X1,X2)!=k3_gr_free0(esk1_0,esk2_0)|~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(spm,[status(thm)],[c_0_96, c_0_46]), c_0_73])).
cnf(c_0_98, negated_conjecture, (u1_struct_0(k3_gr_free0(esk1_0,esk2_0))=X1|k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))!=g3_algstr_0(X1,X2)|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_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_32, c_0_97]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_99, negated_conjecture, (u1_struct_0(k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))=u1_struct_0(k3_gr_free0(esk1_0,esk2_0))|~v15_algstr_0(k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))|~l3_algstr_0(k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_33])])).
cnf(c_0_100, negated_conjecture, (u1_struct_0(k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))=u1_struct_0(k3_gr_free0(esk1_0,esk2_0))|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~l3_algstr_0(k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_56]), c_0_72])])).
cnf(c_0_101, negated_conjecture, (u1_struct_0(k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))=u1_struct_0(k3_gr_free0(esk1_0,esk2_0))|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_55]), c_0_72])])).
cnf(c_0_102, plain, (k3_algstr_4(k10_monoid_0(k1_gr_free0(X1)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))=u2_algstr_0(k3_gr_free0(X2,X1))|~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)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_71]), c_0_72])]), c_0_73]), c_0_74])).
cnf(c_0_103, negated_conjecture, (k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=u1_struct_0(k3_gr_free0(esk1_0,esk2_0))|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_101]), c_0_72])])).
cnf(c_0_104, plain, (k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))=X3|g3_algstr_0(u1_struct_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))),k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))!=g3_algstr_0(X4,X3)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_85]), c_0_55])).
cnf(c_0_105, plain, (g3_algstr_0(k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1))),u2_algstr_0(k3_gr_free0(X2,X1)))=k4_algstr_4(k10_monoid_0(k1_gr_free0(X1)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))|~m1_subset_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(X1))))))|~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)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_102]), c_0_72])]), c_0_90]), c_0_91]), c_0_92]), c_0_74])).
cnf(c_0_106, negated_conjecture, (k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=u1_struct_0(k3_gr_free0(esk1_0,esk2_0))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_103, c_0_74]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_107, plain, (k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))=X3|g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)),k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))!=g3_algstr_0(X4,X3)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(spm,[status(thm)],[c_0_104, c_0_54])).
cnf(c_0_108, negated_conjecture, (g3_algstr_0(u1_struct_0(k3_gr_free0(esk1_0,esk2_0)),u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)))=k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(csr,[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_105, c_0_106]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])]), c_0_46])).
cnf(c_0_109, negated_conjecture, (g3_algstr_0(u1_struct_0(k3_gr_free0(X1,X2)),u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)))=k3_gr_free0(X1,X2)|k3_gr_free0(X1,X2)!=k3_gr_free0(esk1_0,esk2_0)|~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(spm,[status(thm)],[c_0_71, c_0_97])).
cnf(c_0_110, plain, (k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))=X3|k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))!=g3_algstr_0(X4,X3)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(spm,[status(thm)],[c_0_107, c_0_87])).
cnf(c_0_111, negated_conjecture, (k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=k3_gr_free0(esk1_0,esk2_0)|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_108, c_0_109]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_112, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=X1|k3_gr_free0(esk1_0,esk2_0)!=g3_algstr_0(X2,X1)|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_72])])).
cnf(c_0_113, plain, (l3_algstr_0(k3_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)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_71]), c_0_72])]), c_0_73]), c_0_74])).
fof(c_0_114, plain, ![X120]:((u1_struct_0(k10_monoid_0(X120))=k3_finseq_2(X120)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X120)),u1_struct_0(k10_monoid_0(X120))),u1_struct_0(k10_monoid_0(X120)),k2_zfmisc_1(k3_finseq_2(X120),k3_finseq_2(X120)),k3_finseq_2(X120),u2_algstr_0(k10_monoid_0(X120)),k11_monoid_0(X120)))&k5_struct_0(k10_monoid_0(X120))=k1_xboole_0), inference(variable_rename,[status(thm)],[t61_monoid_0])).
fof(c_0_115, plain, ![X113]:k3_finseq_2(X113)=k13_finseq_1(X113), inference(variable_rename,[status(thm)],[redefinition_k3_finseq_2])).
cnf(c_0_116, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=X1|k3_gr_free0(esk1_0,esk2_0)!=g3_algstr_0(X2,X1)|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_112, c_0_113]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
fof(c_0_117, plain, ![X73, X74, X75, X76, X77, X78]:(((~r2_hidden(X75,X74)|m2_finseq_1(X75,X73)|X74!=k13_finseq_1(X73))&(~m2_finseq_1(X76,X73)|r2_hidden(X76,X74)|X74!=k13_finseq_1(X73)))&((~r2_hidden(esk7_2(X77,X78),X78)|~m2_finseq_1(esk7_2(X77,X78),X77)|X78=k13_finseq_1(X77))&(r2_hidden(esk7_2(X77,X78),X78)|m2_finseq_1(esk7_2(X77,X78),X77)|X78=k13_finseq_1(X77)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_finseq_1])])])])])])).
cnf(c_0_118, plain, (u1_struct_0(k10_monoid_0(X1))=k3_finseq_2(X1)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_119, plain, (k3_finseq_2(X1)=k13_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_120, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=X1|k3_gr_free0(esk1_0,esk2_0)!=g3_algstr_0(X2,X1)|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_116, c_0_74]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
fof(c_0_121, plain, ![X1, X2, X3]:(epred1_3(X3,X2,X1)<=>((~v2_struct_0(X1)=>(X3=k3_algstr_4(X1,X2)<=>![X4]:(m1_subset_1(X4,k8_eqrel_1(u1_struct_0(X1),X2))=>![X5]:(m1_subset_1(X5,k8_eqrel_1(u1_struct_0(X1),X2))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>![X7]:(m1_subset_1(X7,u1_struct_0(X1))=>((X4=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X6)&X5=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X7))=>k4_binop_1(k8_eqrel_1(u1_struct_0(X1),X2),X3,X4,X5)=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,k6_algstr_0(X1,X6,X7)))))))))&(v2_struct_0(X1)=>(X3=k3_algstr_4(X1,X2)<=>X3=k1_xboole_0)))), introduced(definition)).
fof(c_0_122, plain, ![X118, X119]:(~r2_tarski(X118,X119)|m1_subset_1(X118,X119)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_123, plain, ![X116, X117]:((~r2_tarski(X116,X117)|r2_hidden(X116,X117))&(~r2_hidden(X116,X117)|r2_tarski(X116,X117))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_124, plain, (r2_hidden(X1,X3)|~m2_finseq_1(X1,X2)|X3!=k13_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_117])).
cnf(c_0_125, plain, (u1_struct_0(k10_monoid_0(X1))=k13_finseq_1(X1)), inference(rw,[status(thm)],[c_0_118, c_0_119])).
cnf(c_0_126, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=X1|k3_gr_free0(esk1_0,esk2_0)!=g3_algstr_0(X2,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(spm,[status(thm)],[c_0_120, c_0_73]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
fof(c_0_127, plain, ![X1, X2, X3]:(epred1_3(X3,X2,X1)=>((~v2_struct_0(X1)=>(X3=k3_algstr_4(X1,X2)<=>![X4]:(m1_subset_1(X4,k8_eqrel_1(u1_struct_0(X1),X2))=>![X5]:(m1_subset_1(X5,k8_eqrel_1(u1_struct_0(X1),X2))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>![X7]:(m1_subset_1(X7,u1_struct_0(X1))=>((X4=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X6)&X5=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X7))=>k4_binop_1(k8_eqrel_1(u1_struct_0(X1),X2),X3,X4,X5)=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,k6_algstr_0(X1,X6,X7)))))))))&(v2_struct_0(X1)=>(X3=k3_algstr_4(X1,X2)<=>X3=k1_xboole_0)))), inference(split_equiv,[status(thm)],[c_0_121])).
cnf(c_0_128, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_122])).
cnf(c_0_129, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_123])).
cnf(c_0_130, plain, (r2_hidden(X1,X3)|X3!=u1_struct_0(k10_monoid_0(X2))|~m2_finseq_1(X1,X2)), inference(rw,[status(thm)],[c_0_124, c_0_125])).
cnf(c_0_131, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=u2_algstr_0(k3_gr_free0(esk1_0,esk2_0))|k3_gr_free0(esk1_0,esk2_0)!=k3_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)), inference(spm,[status(thm)],[c_0_126, c_0_109])).
fof(c_0_132, plain, ![X124, X125, X126, X127, X128, X129, X130]:(((X126!=k3_algstr_4(X124,X125)|(~m1_subset_1(X127,k8_eqrel_1(u1_struct_0(X124),X125))|(~m1_subset_1(X128,k8_eqrel_1(u1_struct_0(X124),X125))|(~m1_subset_1(X129,u1_struct_0(X124))|(~m1_subset_1(X130,u1_struct_0(X124))|(X127!=k6_eqrel_1(u1_struct_0(X124),u1_struct_0(X124),X125,X129)|X128!=k6_eqrel_1(u1_struct_0(X124),u1_struct_0(X124),X125,X130)|k4_binop_1(k8_eqrel_1(u1_struct_0(X124),X125),X126,X127,X128)=k6_eqrel_1(u1_struct_0(X124),u1_struct_0(X124),X125,k6_algstr_0(X124,X129,X130)))))))|v2_struct_0(X124)|~epred1_3(X126,X125,X124))&((m1_subset_1(esk8_3(X124,X125,X126),k8_eqrel_1(u1_struct_0(X124),X125))|X126=k3_algstr_4(X124,X125)|v2_struct_0(X124)|~epred1_3(X126,X125,X124))&((m1_subset_1(esk9_3(X124,X125,X126),k8_eqrel_1(u1_struct_0(X124),X125))|X126=k3_algstr_4(X124,X125)|v2_struct_0(X124)|~epred1_3(X126,X125,X124))&((m1_subset_1(esk10_3(X124,X125,X126),u1_struct_0(X124))|X126=k3_algstr_4(X124,X125)|v2_struct_0(X124)|~epred1_3(X126,X125,X124))&((m1_subset_1(esk11_3(X124,X125,X126),u1_struct_0(X124))|X126=k3_algstr_4(X124,X125)|v2_struct_0(X124)|~epred1_3(X126,X125,X124))&(((esk8_3(X124,X125,X126)=k6_eqrel_1(u1_struct_0(X124),u1_struct_0(X124),X125,esk10_3(X124,X125,X126))|X126=k3_algstr_4(X124,X125)|v2_struct_0(X124)|~epred1_3(X126,X125,X124))&(esk9_3(X124,X125,X126)=k6_eqrel_1(u1_struct_0(X124),u1_struct_0(X124),X125,esk11_3(X124,X125,X126))|X126=k3_algstr_4(X124,X125)|v2_struct_0(X124)|~epred1_3(X126,X125,X124)))&(k4_binop_1(k8_eqrel_1(u1_struct_0(X124),X125),X126,esk8_3(X124,X125,X126),esk9_3(X124,X125,X126))!=k6_eqrel_1(u1_struct_0(X124),u1_struct_0(X124),X125,k6_algstr_0(X124,esk10_3(X124,X125,X126),esk11_3(X124,X125,X126)))|X126=k3_algstr_4(X124,X125)|v2_struct_0(X124)|~epred1_3(X126,X125,X124))))))))&((X126!=k3_algstr_4(X124,X125)|X126=k1_xboole_0|~v2_struct_0(X124)|~epred1_3(X126,X125,X124))&(X126!=k1_xboole_0|X126=k3_algstr_4(X124,X125)|~v2_struct_0(X124)|~epred1_3(X126,X125,X124)))), 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_127])])])])])).
cnf(c_0_133, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X2)), inference(spm,[status(thm)],[c_0_128, c_0_129])).
cnf(c_0_134, plain, (r2_hidden(X1,u1_struct_0(k10_monoid_0(X2)))|~m2_finseq_1(X1,X2)), inference(er,[status(thm)],[c_0_130])).
cnf(c_0_135, negated_conjecture, (k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=u2_algstr_0(k3_gr_free0(esk1_0,esk2_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(er,[status(thm)],[c_0_131]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_136, plain, (k4_binop_1(k8_eqrel_1(u1_struct_0(X2),X3),X1,X4,X5)=k6_eqrel_1(u1_struct_0(X2),u1_struct_0(X2),X3,k6_algstr_0(X2,X6,X7))|v2_struct_0(X2)|X1!=k3_algstr_4(X2,X3)|~m1_subset_1(X4,k8_eqrel_1(u1_struct_0(X2),X3))|~m1_subset_1(X5,k8_eqrel_1(u1_struct_0(X2),X3))|~m1_subset_1(X6,u1_struct_0(X2))|~m1_subset_1(X7,u1_struct_0(X2))|X4!=k6_eqrel_1(u1_struct_0(X2),u1_struct_0(X2),X3,X6)|X5!=k6_eqrel_1(u1_struct_0(X2),u1_struct_0(X2),X3,X7)|~epred1_3(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_132])).
cnf(c_0_137, plain, (m1_subset_1(X1,u1_struct_0(k10_monoid_0(X2)))|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_133, c_0_134])).
cnf(c_0_138, negated_conjecture, (m2_finseq_1(esk4_0,k1_gr_free0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_139, negated_conjecture, (g3_algstr_0(u1_struct_0(k3_gr_free0(esk1_0,esk2_0)),u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)))=k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))|~m1_subset_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_94, c_0_135]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_140, plain, (k4_binop_1(k8_eqrel_1(u1_struct_0(X1),X2),k3_algstr_4(X1,X2),k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X3),k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X4))=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,k6_algstr_0(X1,X3,X4))|v2_struct_0(X1)|~epred1_3(k3_algstr_4(X1,X2),X2,X1)|~m1_subset_1(k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X4),k8_eqrel_1(u1_struct_0(X1),X2))|~m1_subset_1(k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,X3),k8_eqrel_1(u1_struct_0(X1),X2))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_136])])])).
cnf(c_0_141, negated_conjecture, (esk6_0=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),esk4_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_142, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(spm,[status(thm)],[c_0_137, c_0_138])).
cnf(c_0_143, plain, (~v2_struct_0(k10_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_144, negated_conjecture, (g3_algstr_0(u1_struct_0(k3_gr_free0(esk1_0,esk2_0)),u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)))=k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(spm,[status(thm)],[c_0_139, c_0_46])).
cnf(c_0_145, negated_conjecture, (k4_binop_1(k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))),k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))),k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),esk6_0)=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k6_algstr_0(k10_monoid_0(k1_gr_free0(esk2_0)),X1,esk4_0))|~epred1_3(k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_subset_1(k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))|~m1_subset_1(esk6_0,k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))))|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_141]), c_0_142])]), c_0_143])).
cnf(c_0_146, negated_conjecture, (m1_subset_1(esk6_0,u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_147, negated_conjecture, (k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=k3_gr_free0(esk1_0,esk2_0)|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_109, c_0_144]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
fof(c_0_148, plain, ![X110, X111, X112]:(~m1_finseq_1(X111,X110)|~m1_finseq_1(X112,X110)|k1_monoid_0(X110,X111,X112)=k7_finseq_1(X111,X112)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_monoid_0])])).
fof(c_0_149, plain, ![X80, X81, X82]:(~l3_algstr_0(X80)|(~m1_subset_1(X81,u1_struct_0(X80))|(~m1_subset_1(X82,u1_struct_0(X80))|k6_algstr_0(X80,X81,X82)=k4_binop_1(u1_struct_0(X80),u2_algstr_0(X80),X81,X82)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d18_algstr_0])])])).
cnf(c_0_150, negated_conjecture, (k4_binop_1(u1_struct_0(k3_gr_free0(esk1_0,esk2_0)),k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))),k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),esk6_0)=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k6_algstr_0(k10_monoid_0(k1_gr_free0(esk2_0)),X1,esk4_0))|~epred1_3(k3_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_subset_1(k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_89]), c_0_146]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_151, negated_conjecture, (v15_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_111]), c_0_72])])).
cnf(c_0_152, negated_conjecture, (l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_147]), c_0_72])])).
cnf(c_0_153, negated_conjecture, (k6_algstr_0(k3_gr_free0(esk1_0,esk2_0),esk5_0,esk6_0)!=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k1_monoid_0(k1_gr_free0(esk2_0),esk3_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_154, plain, (k1_monoid_0(X2,X1,X3)=k7_finseq_1(X1,X3)|~m1_finseq_1(X1,X2)|~m1_finseq_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_148])).
fof(c_0_155, plain, ![X121, X122, X123]:(~m1_subset_1(X122,u1_struct_0(k10_monoid_0(X121)))|(~m1_subset_1(X123,u1_struct_0(k10_monoid_0(X121)))|k6_algstr_0(k10_monoid_0(X121),X122,X123)=k7_finseq_1(X122,X123))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t62_monoid_0])])])).
cnf(c_0_156, plain, (k6_algstr_0(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_algstr_0(X1),X2,X3)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_149])).
cnf(c_0_157, negated_conjecture, (k4_binop_1(u1_struct_0(k3_gr_free0(esk1_0,esk2_0)),u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)),k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),esk6_0)=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k6_algstr_0(k10_monoid_0(k1_gr_free0(esk2_0)),X1,esk4_0))|~epred1_3(u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_subset_1(k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_150, c_0_102]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_158, negated_conjecture, (m2_finseq_1(esk3_0,k1_gr_free0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_75])).
fof(c_0_159, plain, ![X1]:(l3_algstr_0(X1)=>![X2]:(((((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2)))))=>epred1_3(X3,X2,X1)))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_algstr_4]), c_0_121])).
cnf(c_0_160, negated_conjecture, (v15_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_151, c_0_74]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_161, negated_conjecture, (l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_152, c_0_74]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_162, negated_conjecture, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k7_finseq_1(esk3_0,esk4_0))!=k6_algstr_0(k3_gr_free0(esk1_0,esk2_0),esk5_0,esk6_0)|~m1_finseq_1(esk4_0,k1_gr_free0(esk2_0))|~m1_finseq_1(esk3_0,k1_gr_free0(esk2_0))), inference(spm,[status(thm)],[c_0_153, c_0_154])).
cnf(c_0_163, plain, (k6_algstr_0(k10_monoid_0(X2),X1,X3)=k7_finseq_1(X1,X3)|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(X2)))|~m1_subset_1(X3,u1_struct_0(k10_monoid_0(X2)))), inference(split_conjunct,[status(thm)],[c_0_155])).
cnf(c_0_164, negated_conjecture, (k6_algstr_0(k3_gr_free0(esk1_0,esk2_0),k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),esk6_0)=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k6_algstr_0(k10_monoid_0(k1_gr_free0(esk2_0)),X1,esk4_0))|~epred1_3(u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~m1_subset_1(k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),X1),u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_157]), c_0_146])])).
cnf(c_0_165, negated_conjecture, (esk5_0=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),esk3_0)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_166, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_167, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(spm,[status(thm)],[c_0_137, c_0_158])).
fof(c_0_168, plain, ![X83, X84, X85]:(~l3_algstr_0(X83)|(~v1_partfun1(X84,u1_struct_0(X83))|~v3_relat_2(X84)|~v8_relat_2(X84)|~v1_algstr_4(X84,X83)|~m1_subset_1(X84,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X83),u1_struct_0(X83))))|(~v1_funct_1(X85)|~v1_funct_2(X85,k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X83),X84),k8_eqrel_1(u1_struct_0(X83),X84)),k8_eqrel_1(u1_struct_0(X83),X84))|~m1_subset_1(X85,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X83),X84),k8_eqrel_1(u1_struct_0(X83),X84)),k8_eqrel_1(u1_struct_0(X83),X84))))|epred1_3(X85,X84,X83)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_159])])])).
cnf(c_0_169, negated_conjecture, (v15_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_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(spm,[status(thm)],[c_0_160, c_0_73]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_170, negated_conjecture, (l3_algstr_0(k3_gr_free0(esk1_0,esk2_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(spm,[status(thm)],[c_0_161, c_0_73]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_171, plain, (v1_funct_1(k3_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_85]), c_0_55])).
cnf(c_0_172, negated_conjecture, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k6_algstr_0(k10_monoid_0(X1),esk3_0,esk4_0))!=k6_algstr_0(k3_gr_free0(esk1_0,esk2_0),esk5_0,esk6_0)|~m1_finseq_1(esk4_0,k1_gr_free0(esk2_0))|~m1_finseq_1(esk3_0,k1_gr_free0(esk2_0))|~m1_subset_1(esk4_0,u1_struct_0(k10_monoid_0(X1)))|~m1_subset_1(esk3_0,u1_struct_0(k10_monoid_0(X1)))), inference(spm,[status(thm)],[c_0_162, c_0_163])).
cnf(c_0_173, negated_conjecture, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k6_algstr_0(k10_monoid_0(k1_gr_free0(esk2_0)),esk3_0,esk4_0))=k6_algstr_0(k3_gr_free0(esk1_0,esk2_0),esk5_0,esk6_0)|~epred1_3(u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_165]), c_0_166]), c_0_167])])).
cnf(c_0_174, plain, (epred1_3(X3,X2,X1)|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_168])).
cnf(c_0_175, plain, (v1_funct_2(u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))),k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2))),k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_54]), c_0_55])).
cnf(c_0_176, plain, (m1_subset_1(u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2))),k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2)))))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_54]), c_0_55])).
cnf(c_0_177, negated_conjecture, (k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=k3_gr_free0(esk1_0,esk2_0)|~v15_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_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_33, c_0_97]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_178, negated_conjecture, (v15_algstr_0(k3_gr_free0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169, c_0_170])])).
cnf(c_0_179, negated_conjecture, (v1_funct_1(u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)))|k3_gr_free0(X1,X2)!=k3_gr_free0(esk1_0,esk2_0)|~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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_95]), c_0_72])]), c_0_73]), c_0_74])).
cnf(c_0_180, negated_conjecture, (~epred1_3(u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_finseq_1(esk4_0,k1_gr_free0(esk2_0))|~m1_finseq_1(esk3_0,k1_gr_free0(esk2_0))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_173]), c_0_142]), c_0_167])])).
cnf(c_0_181, plain, (epred1_3(u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))),k1_msualg_5(u1_struct_0(X1),X2),X1)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_1(u2_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(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_174, c_0_175]), c_0_47]), c_0_46]), c_0_176]), c_0_48]), c_0_49])).
cnf(c_0_182, negated_conjecture, (k4_algstr_4(k10_monoid_0(k1_gr_free0(esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))=k3_gr_free0(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177, c_0_170])]), c_0_178])])).
cnf(c_0_183, negated_conjecture, (v1_funct_1(u2_algstr_0(k3_gr_free0(esk1_0,esk2_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(er,[status(thm)],[c_0_179]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_184, negated_conjecture, (~epred1_3(u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_finseq_1(esk4_0,k1_gr_free0(esk2_0))|~m1_finseq_1(esk3_0,k1_gr_free0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180, c_0_170])])).
cnf(c_0_185, negated_conjecture, (epred1_3(u2_algstr_0(k3_gr_free0(esk1_0,esk2_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_182]), c_0_72]), c_0_183])])).
cnf(c_0_186, negated_conjecture, (~m1_finseq_1(esk4_0,k1_gr_free0(esk2_0))|~m1_finseq_1(esk3_0,k1_gr_free0(esk2_0))|~v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k10_monoid_0(k1_gr_free0(esk2_0)))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), inference(spm,[status(thm)],[c_0_184, c_0_185])).
cnf(c_0_187, negated_conjecture, (~m1_finseq_1(esk4_0,k1_gr_free0(esk2_0))|~m1_finseq_1(esk3_0,k1_gr_free0(esk2_0))|~m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_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_186, c_0_74]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
fof(c_0_188, plain, ![X114, X115]:((~m2_finseq_1(X115,X114)|m1_finseq_1(X115,X114))&(~m1_finseq_1(X115,X114)|m2_finseq_1(X115,X114))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
cnf(c_0_189, negated_conjecture, (~m1_finseq_1(esk4_0,k1_gr_free0(esk2_0))|~m1_finseq_1(esk3_0,k1_gr_free0(esk2_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(spm,[status(thm)],[c_0_187, c_0_73]), c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84])])).
cnf(c_0_190, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_188])).
cnf(c_0_191, negated_conjecture, (~m1_finseq_1(esk3_0,k1_gr_free0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189, c_0_190]), c_0_138])])).
cnf(c_0_192, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_190]), c_0_158])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 193
# Proof object clause steps            : 136
# Proof object formula steps           : 57
# Proof object conjectures             : 69
# Proof object clause conjectures      : 66
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 47
# Proof object initial formulas used   : 25
# Proof object generating inferences   : 82
# Proof object simplifying inferences  : 282
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 25
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 76
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 74
# Processed clauses                    : 7447
# ...of these trivial                  : 58
# ...subsumed                          : 4985
# ...remaining for further processing  : 2404
# Other redundant clauses eliminated   : 90
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 114
# Backward-rewritten                   : 704
# Generated clauses                    : 71650
# ...of the previous two non-trivial   : 72151
# Contextual simplify-reflections      : 215
# Paramodulations                      : 71500
# Factorizations                       : 6
# NegExts                              : 0
# Equation resolutions                 : 146
# 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  : 1507
#    Positive orientable unit clauses  : 36
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 1466
# Current number of unprocessed clauses: 63681
# ...number of literals in the above   : 649693
# Current number of archived formulas  : 0
# Current number of archived clauses   : 894
# Clause-clause subsumption calls (NU) : 1870703
# Rec. Clause-clause subsumption calls : 41849
# Non-unit clause-clause subsumptions  : 5303
# Unit Clause-clause subsumption calls : 3128
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 26
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 10516973

# -------------------------------------------------
# User time                : 4.312 s
# System time              : 0.060 s
# Total time               : 4.372 s
# Maximum resident set size: 3532 pages
