# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.028 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t44_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__t44_gr_free0', dt_k9_monoid_0)).
fof(cc5_vectsp_1, axiom, ![X1]:(l4_algstr_0(X1)=>((~(v2_struct_0(X1))&v4_vectsp_1(X1))=>(~(v2_struct_0(X1))&v1_group_1(X1)))), file('gr_free0/gr_free0__t44_gr_free0', cc5_vectsp_1)).
fof(t49_algstr_4, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(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)))))=>k1_group_1(k4_algstr_4(X1,X2))=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,k1_group_1(X1)))), file('gr_free0/gr_free0__t44_gr_free0', t49_algstr_4)).
fof(ie10_vectsp_1, axiom, ![X1]:(((~(v2_struct_0(X1))&v4_vectsp_1(X1))&l4_algstr_0(X1))=>k1_group_1(X1)=k5_struct_0(X1)), file('gr_free0/gr_free0__t44_gr_free0', ie10_vectsp_1)).
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__t44_gr_free0', dt_m1_monoid_0)).
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__t44_gr_free0', dt_k1_msualg_5)).
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__t44_gr_free0', t61_monoid_0)).
fof(t44_gr_free0, conjecture, ![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))=>k1_group_1(k3_gr_free0(X1,X2))=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_xboole_0)), file('gr_free0/gr_free0__t44_gr_free0', t44_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__t44_gr_free0', dt_k2_gr_free0)).
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__t44_gr_free0', d4_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__t44_gr_free0', fc9_gr_free0)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('gr_free0/gr_free0__t44_gr_free0', dt_l4_algstr_0)).
fof(c_0_13, 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_14, 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])).
fof(c_0_15, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>(~v2_struct_0(X1)&v1_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc5_vectsp_1])).
fof(c_0_16, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(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)))))=>k1_group_1(k4_algstr_4(X1,X2))=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,k1_group_1(X1)))), inference(fof_simplification,[status(thm)],[t49_algstr_4])).
fof(c_0_17, plain, ![X1]:(((~v2_struct_0(X1)&v4_vectsp_1(X1))&l4_algstr_0(X1))=>k1_group_1(X1)=k5_struct_0(X1)), inference(fof_simplification,[status(thm)],[ie10_vectsp_1])).
fof(c_0_18, plain, ![X35, X36]:(~l3_algstr_0(X35)|(~m1_monoid_0(X36,X35)|l4_algstr_0(X36))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_monoid_0])])])).
fof(c_0_19, plain, ![X28]:(((~v2_struct_0(k10_monoid_0(X28))&v22_algstr_0(k10_monoid_0(X28)))&v4_vectsp_1(k10_monoid_0(X28)))&m1_monoid_0(k10_monoid_0(X28),k9_monoid_0(X28))), inference(variable_rename,[status(thm)],[c_0_13])).
fof(c_0_20, plain, ![X33]:(((((((~v2_struct_0(k9_monoid_0(X33))&v15_algstr_0(k9_monoid_0(X33)))&v1_group_1(k9_monoid_0(X33)))&v3_group_1(k9_monoid_0(X33)))&v2_monoid_0(k9_monoid_0(X33)))&v16_monoid_0(k9_monoid_0(X33)))&v17_monoid_0(k9_monoid_0(X33)))&l3_algstr_0(k9_monoid_0(X33))), inference(variable_rename,[status(thm)],[c_0_14])).
fof(c_0_21, plain, ![X25]:((~v2_struct_0(X25)|(v2_struct_0(X25)|~v4_vectsp_1(X25))|~l4_algstr_0(X25))&(v1_group_1(X25)|(v2_struct_0(X25)|~v4_vectsp_1(X25))|~l4_algstr_0(X25))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_22, plain, ![X40, X41]:(v2_struct_0(X40)|~v1_group_1(X40)|~l3_algstr_0(X40)|(~v1_partfun1(X41,u1_struct_0(X40))|~v3_relat_2(X41)|~v8_relat_2(X41)|~v1_algstr_4(X41,X40)|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(X40))))|k1_group_1(k4_algstr_4(X40,X41))=k6_eqrel_1(u1_struct_0(X40),u1_struct_0(X40),X41,k1_group_1(X40)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_23, plain, ![X29, X30]:((((v1_partfun1(k1_msualg_5(X29,X30),X29)|~m1_subset_1(X30,k1_zfmisc_1(k2_zfmisc_1(X29,X29))))&(v3_relat_2(k1_msualg_5(X29,X30))|~m1_subset_1(X30,k1_zfmisc_1(k2_zfmisc_1(X29,X29)))))&(v8_relat_2(k1_msualg_5(X29,X30))|~m1_subset_1(X30,k1_zfmisc_1(k2_zfmisc_1(X29,X29)))))&(m1_subset_1(k1_msualg_5(X29,X30),k1_zfmisc_1(k2_zfmisc_1(X29,X29)))|~m1_subset_1(X30,k1_zfmisc_1(k2_zfmisc_1(X29,X29))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_msualg_5])])])).
fof(c_0_24, plain, ![X39]:(v2_struct_0(X39)|~v4_vectsp_1(X39)|~l4_algstr_0(X39)|k1_group_1(X39)=k5_struct_0(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])).
fof(c_0_25, plain, ![X42]:((u1_struct_0(k10_monoid_0(X42))=k3_finseq_2(X42)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X42)),u1_struct_0(k10_monoid_0(X42))),u1_struct_0(k10_monoid_0(X42)),k2_zfmisc_1(k3_finseq_2(X42),k3_finseq_2(X42)),k3_finseq_2(X42),u2_algstr_0(k10_monoid_0(X42)),k11_monoid_0(X42)))&k5_struct_0(k10_monoid_0(X42))=k1_xboole_0), inference(variable_rename,[status(thm)],[t61_monoid_0])).
cnf(c_0_26, plain, (l4_algstr_0(X2)|~l3_algstr_0(X1)|~m1_monoid_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, plain, (m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_28, plain, (l3_algstr_0(k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_29, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_30, plain, (v4_vectsp_1(k10_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_31, plain, (~v2_struct_0(k10_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_32, negated_conjecture, ~(![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))=>k1_group_1(k3_gr_free0(X1,X2))=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_xboole_0))), inference(assume_negation,[status(cth)],[t44_gr_free0])).
cnf(c_0_33, plain, (v2_struct_0(X1)|k1_group_1(k4_algstr_4(X1,X2))=k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),X2,k1_group_1(X1))|~v1_group_1(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))))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_34, 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_23])).
cnf(c_0_35, 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_23])).
cnf(c_0_36, 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_23])).
cnf(c_0_37, 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_23])).
fof(c_0_38, plain, ![X31, X32]:(~v1_relat_1(X32)|~v4_relat_1(X32,X31)|~v1_funct_1(X32)|~v1_partfun1(X32,X31)|~v1_group_7(X32)|~v2_group_7(X32,X31)|m1_subset_1(k2_gr_free0(X31,X32),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X32))),u1_struct_0(k10_monoid_0(k1_gr_free0(X32))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
cnf(c_0_39, plain, (v2_struct_0(X1)|k1_group_1(X1)=k5_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_40, plain, (k5_struct_0(k10_monoid_0(X1))=k1_xboole_0), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_41, plain, (l4_algstr_0(k10_monoid_0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])])).
cnf(c_0_42, plain, (v1_group_1(k10_monoid_0(X1))|~l4_algstr_0(k10_monoid_0(X1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])).
fof(c_0_43, negated_conjecture, (((((((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))&k1_group_1(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)),k1_xboole_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
cnf(c_0_44, plain, (k6_eqrel_1(u1_struct_0(X1),u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2),k1_group_1(X1))=k1_group_1(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))|v2_struct_0(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_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), c_0_36]), c_0_37])).
cnf(c_0_45, 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_38])).
cnf(c_0_46, plain, (k1_group_1(k10_monoid_0(X1))=k1_xboole_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_30]), c_0_40]), c_0_31]), c_0_41])])).
cnf(c_0_47, plain, (v1_group_1(k10_monoid_0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_41])])).
cnf(c_0_48, negated_conjecture, (k1_group_1(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)),k1_xboole_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_49, plain, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),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)),k1_xboole_0)=k1_group_1(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_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)))|~l3_algstr_0(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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46]), c_0_47])]), c_0_31])).
cnf(c_0_50, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_51, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_52, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_53, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_54, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_55, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_56, plain, ![X26, X27]:(~v1_relat_1(X27)|~v4_relat_1(X27,X26)|~v1_funct_1(X27)|~v1_partfun1(X27,X26)|~v1_group_7(X27)|~v2_group_7(X27,X26)|~v3_group_7(X27,X26)|k3_gr_free0(X26,X27)=k4_algstr_4(k10_monoid_0(k1_gr_free0(X27)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X27))),k2_gr_free0(X26,X27)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_gr_free0])])).
cnf(c_0_57, negated_conjecture, (k1_group_1(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))))!=k1_group_1(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(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(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55])])).
cnf(c_0_58, 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_56])).
cnf(c_0_59, negated_conjecture, (v3_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_60, plain, ![X37, X38]:((((v1_partfun1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X38))),k2_gr_free0(X37,X38)),u1_struct_0(k10_monoid_0(k1_gr_free0(X38))))|(~v1_relat_1(X38)|~v4_relat_1(X38,X37)|~v1_funct_1(X38)|~v1_partfun1(X38,X37)|~v1_group_7(X38)|~v2_group_7(X38,X37)|~v3_group_7(X38,X37)))&(v3_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X38))),k2_gr_free0(X37,X38)))|(~v1_relat_1(X38)|~v4_relat_1(X38,X37)|~v1_funct_1(X38)|~v1_partfun1(X38,X37)|~v1_group_7(X38)|~v2_group_7(X38,X37)|~v3_group_7(X38,X37))))&(v8_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X38))),k2_gr_free0(X37,X38)))|(~v1_relat_1(X38)|~v4_relat_1(X38,X37)|~v1_funct_1(X38)|~v1_partfun1(X38,X37)|~v1_group_7(X38)|~v2_group_7(X38,X37)|~v3_group_7(X38,X37))))&(v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X38))),k2_gr_free0(X37,X38)),k10_monoid_0(k1_gr_free0(X38)))|(~v1_relat_1(X38)|~v4_relat_1(X38,X37)|~v1_funct_1(X38)|~v1_partfun1(X38,X37)|~v1_group_7(X38)|~v2_group_7(X38,X37)|~v3_group_7(X38,X37)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_gr_free0])])])).
cnf(c_0_61, negated_conjecture, (~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(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_57, c_0_58]), c_0_59]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55])])).
cnf(c_0_62, 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_60])).
fof(c_0_63, plain, ![X34]:((l3_struct_0(X34)|~l4_algstr_0(X34))&(l3_algstr_0(X34)|~l4_algstr_0(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_64, negated_conjecture, (~l3_algstr_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_61, c_0_62]), c_0_59]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55])])).
cnf(c_0_65, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_41])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 67
# Proof object clause steps            : 35
# Proof object formula steps           : 32
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 41
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 40
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 38
# Processed clauses                    : 95
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 95
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 1
# Generated clauses                    : 19
# ...of the previous two non-trivial   : 19
# Contextual simplify-reflections      : 3
# Paramodulations                      : 19
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 52
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 26
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 44
# Clause-clause subsumption calls (NU) : 884
# Rec. Clause-clause subsumption calls : 83
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 7
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 5076

# -------------------------------------------------
# User time                : 0.034 s
# System time              : 0.003 s
# Total time               : 0.037 s
# Maximum resident set size: 3356 pages
