# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t58_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]:(m1_subset_1(X4,u1_struct_0(k3_gr_free0(X1,X2)))=>(X4=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)=>k7_gr_free0(X1,X2,X4)=k2_rewrite1(k2_gr_free0(X1,X2),X3)))))), file('gr_free0/gr_free0__t58_gr_free0', t58_gr_free0)).
fof(redefinition_k6_eqrel_1, axiom, ![X1, X2, X3, X4]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>k6_eqrel_1(X1,X2,X3,X4)=k9_relat_1(X3,X4)), file('gr_free0/gr_free0__t58_gr_free0', redefinition_k6_eqrel_1)).
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__t58_gr_free0', dt_k1_msualg_5)).
fof(fc12_finseq_1, axiom, ![X1]:~(v1_xboole_0(k13_finseq_1(X1))), file('gr_free0/gr_free0__t58_gr_free0', fc12_finseq_1)).
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__t58_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__t58_gr_free0', redefinition_k3_finseq_2)).
fof(t29_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k3_finseq_2(k1_gr_free0(X2)))&k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2)))&k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))))), file('gr_free0/gr_free0__t58_gr_free0', t29_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__t58_gr_free0', dt_k2_gr_free0)).
fof(t41_msualg_6, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))=>![X3]:(m1_subset_1(X3,X1)=>![X4]:(m1_subset_1(X4,X1)=>(r2_hidden(k4_tarski(X3,X4),k1_msualg_5(X1,X2))<=>r2_rewrite1(X2,X3,X4)))))), file('gr_free0/gr_free0__t58_gr_free0', t41_msualg_6)).
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__t58_gr_free0', d11_finseq_1)).
fof(fc6_gr_free0, axiom, ![X1, X2]:(((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>v3_rewrite1(k2_gr_free0(X1,X2))), file('gr_free0/gr_free0__t58_gr_free0', fc6_gr_free0)).
fof(t18_eqrel_1, axiom, ![X1, X2, X3]:(v1_relat_1(X3)=>(r2_hidden(X2,k9_relat_1(X3,X1))<=>r2_hidden(k4_tarski(X1,X2),X3))), file('gr_free0/gr_free0__t58_gr_free0', t18_eqrel_1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('gr_free0/gr_free0__t58_gr_free0', t1_subset)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t58_gr_free0', redefinition_r2_tarski)).
fof(fc8_gr_free0, axiom, ![X1, X2]:((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>(v4_rewrite1(k2_gr_free0(X1,X2))&v10_rewrite1(k2_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t58_gr_free0', fc8_gr_free0)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('gr_free0/gr_free0__t58_gr_free0', cc1_relset_1)).
fof(d7_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X2))=>(X4=k7_gr_free0(X1,X2,X3)<=>(r2_tarski(X4,X3)&r3_rewrite1(k2_gr_free0(X1,X2),X4))))))), file('gr_free0/gr_free0__t58_gr_free0', d7_gr_free0)).
fof(t19_rewrite1, axiom, ![X1]:(v1_relat_1(X1)=>![X2, X3]:(r1_rewrite1(X1,X2,X3)=>(r2_hidden(X2,k1_relat_1(X1))<=>r2_hidden(X3,k1_relat_1(X1))))), file('gr_free0/gr_free0__t58_gr_free0', t19_rewrite1)).
fof(d6_rewrite1, axiom, ![X1]:(v1_relat_1(X1)=>![X2, X3]:(r4_rewrite1(X1,X2,X3)<=>(r3_rewrite1(X1,X3)&r1_rewrite1(X1,X2,X3)))), file('gr_free0/gr_free0__t58_gr_free0', d6_rewrite1)).
fof(t54_rewrite1, axiom, ![X1]:(((v1_relat_1(X1)&v2_rewrite1(X1))&v4_rewrite1(X1))=>![X2]:r4_rewrite1(X1,X2,k2_rewrite1(X1,X2))), file('gr_free0/gr_free0__t58_gr_free0', t54_rewrite1)).
fof(cc5_rewrite1, axiom, ![X1]:((v1_relat_1(X1)&v3_rewrite1(X1))=>(v1_relat_1(X1)&v2_rewrite1(X1))), file('gr_free0/gr_free0__t58_gr_free0', cc5_rewrite1)).
fof(t25_rewrite1, axiom, ![X1]:(v1_relat_1(X1)=>![X2, X3]:(r1_rewrite1(X1,X2,X3)=>(r2_rewrite1(X1,X2,X3)&r2_rewrite1(X1,X3,X2)))), file('gr_free0/gr_free0__t58_gr_free0', t25_rewrite1)).
fof(c_0_22, 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]:(m1_subset_1(X4,u1_struct_0(k3_gr_free0(X1,X2)))=>(X4=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)=>k7_gr_free0(X1,X2,X4)=k2_rewrite1(k2_gr_free0(X1,X2),X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t58_gr_free0])])).
fof(c_0_23, 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))&(m1_subset_1(esk4_0,u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))&(esk4_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)&k7_gr_free0(esk1_0,esk2_0,esk4_0)!=k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_24, plain, ![X91, X92, X93, X94]:(~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(X91,X92)))|k6_eqrel_1(X91,X92,X93,X94)=k9_relat_1(X93,X94)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_eqrel_1])])).
cnf(c_0_25, negated_conjecture, (esk4_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_23])).
cnf(c_0_26, plain, (k6_eqrel_1(X2,X3,X1,X4)=k9_relat_1(X1,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_27, plain, ![X81, X82]:((((v1_partfun1(k1_msualg_5(X81,X82),X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X81,X81))))&(v3_relat_2(k1_msualg_5(X81,X82))|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X81,X81)))))&(v8_relat_2(k1_msualg_5(X81,X82))|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X81,X81)))))&(m1_subset_1(k1_msualg_5(X81,X82),k1_zfmisc_1(k2_zfmisc_1(X81,X81)))|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X81,X81))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_msualg_5])])])).
fof(c_0_28, plain, ![X1]:~v1_xboole_0(k13_finseq_1(X1)), inference(fof_simplification,[status(thm)],[fc12_finseq_1])).
fof(c_0_29, plain, ![X116]:((u1_struct_0(k10_monoid_0(X116))=k3_finseq_2(X116)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X116)),u1_struct_0(k10_monoid_0(X116))),u1_struct_0(k10_monoid_0(X116)),k2_zfmisc_1(k3_finseq_2(X116),k3_finseq_2(X116)),k3_finseq_2(X116),u2_algstr_0(k10_monoid_0(X116)),k11_monoid_0(X116)))&k5_struct_0(k10_monoid_0(X116))=k1_xboole_0), inference(variable_rename,[status(thm)],[t61_monoid_0])).
fof(c_0_30, plain, ![X90]:k3_finseq_2(X90)=k13_finseq_1(X90), inference(variable_rename,[status(thm)],[redefinition_k3_finseq_2])).
fof(c_0_31, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k3_finseq_2(k1_gr_free0(X2)))&k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2)))&k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))))), inference(fof_simplification,[status(thm)],[t29_gr_free0])).
cnf(c_0_32, negated_conjecture, (k9_relat_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),esk3_0)=esk4_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(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_33, 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_27])).
fof(c_0_34, plain, ![X83, X84]:(~v1_relat_1(X84)|~v4_relat_1(X84,X83)|~v1_funct_1(X84)|~v1_partfun1(X84,X83)|~v1_group_7(X84)|~v2_group_7(X84,X83)|m1_subset_1(k2_gr_free0(X83,X84),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X84))),u1_struct_0(k10_monoid_0(k1_gr_free0(X84))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
fof(c_0_35, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))=>![X3]:(m1_subset_1(X3,X1)=>![X4]:(m1_subset_1(X4,X1)=>(r2_hidden(k4_tarski(X3,X4),k1_msualg_5(X1,X2))<=>r2_rewrite1(X2,X3,X4)))))), inference(fof_simplification,[status(thm)],[t41_msualg_6])).
fof(c_0_36, plain, ![X85]:~v1_xboole_0(k13_finseq_1(X85)), inference(variable_rename,[status(thm)],[c_0_28])).
cnf(c_0_37, plain, (u1_struct_0(k10_monoid_0(X1))=k3_finseq_2(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_38, plain, (k3_finseq_2(X1)=k13_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_39, plain, ![X67, X68, X69, X70, X71, X72]:(((~r2_hidden(X69,X68)|m2_finseq_1(X69,X67)|X68!=k13_finseq_1(X67))&(~m2_finseq_1(X70,X67)|r2_hidden(X70,X68)|X68!=k13_finseq_1(X67)))&((~r2_hidden(esk5_2(X71,X72),X72)|~m2_finseq_1(esk5_2(X71,X72),X71)|X72=k13_finseq_1(X71))&(r2_hidden(esk5_2(X71,X72),X72)|m2_finseq_1(esk5_2(X71,X72),X71)|X72=k13_finseq_1(X71)))), 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])])])])])])).
fof(c_0_40, plain, ![X108, X109]:(((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X109))),k2_gr_free0(X108,X109)),k3_finseq_2(k1_gr_free0(X109)))|(~v1_relat_1(X109)|~v4_relat_1(X109,X108)|~v1_funct_1(X109)|~v1_partfun1(X109,X108)|~v1_group_7(X109)|~v2_group_7(X109,X108))|v1_xboole_0(X108))&(k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X109))),k2_gr_free0(X108,X109))=k3_finseq_2(k1_gr_free0(X109))|(~v1_relat_1(X109)|~v4_relat_1(X109,X108)|~v1_funct_1(X109)|~v1_partfun1(X109,X108)|~v1_group_7(X109)|~v2_group_7(X109,X108))|v1_xboole_0(X108)))&(k1_relat_1(k2_gr_free0(X108,X109))=k3_finseq_2(k1_gr_free0(X109))|(~v1_relat_1(X109)|~v4_relat_1(X109,X108)|~v1_funct_1(X109)|~v1_partfun1(X109,X108)|~v1_group_7(X109)|~v2_group_7(X109,X108))|v1_xboole_0(X108))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])).
fof(c_0_41, plain, ![X1, X2]:(((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>v3_rewrite1(k2_gr_free0(X1,X2))), inference(fof_simplification,[status(thm)],[fc6_gr_free0])).
fof(c_0_42, plain, ![X97, X98, X99]:((~r2_hidden(X98,k9_relat_1(X99,X97))|r2_hidden(k4_tarski(X97,X98),X99)|~v1_relat_1(X99))&(~r2_hidden(k4_tarski(X97,X98),X99)|r2_hidden(X98,k9_relat_1(X99,X97))|~v1_relat_1(X99))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_eqrel_1])])])).
cnf(c_0_43, negated_conjecture, (k9_relat_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),esk3_0)=esk4_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_32, c_0_33])).
cnf(c_0_44, 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_34])).
cnf(c_0_45, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_46, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_47, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_48, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_49, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_50, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_51, plain, ![X110, X111, X112, X113]:((~r2_hidden(k4_tarski(X112,X113),k1_msualg_5(X110,X111))|r2_rewrite1(X111,X112,X113)|~m1_subset_1(X113,X110)|~m1_subset_1(X112,X110)|~m1_subset_1(X111,k1_zfmisc_1(k2_zfmisc_1(X110,X110)))|v1_xboole_0(X110))&(~r2_rewrite1(X111,X112,X113)|r2_hidden(k4_tarski(X112,X113),k1_msualg_5(X110,X111))|~m1_subset_1(X113,X110)|~m1_subset_1(X112,X110)|~m1_subset_1(X111,k1_zfmisc_1(k2_zfmisc_1(X110,X110)))|v1_xboole_0(X110))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])).
cnf(c_0_52, plain, (~v1_xboole_0(k13_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_53, plain, (u1_struct_0(k10_monoid_0(X1))=k13_finseq_1(X1)), inference(rw,[status(thm)],[c_0_37, c_0_38])).
fof(c_0_54, plain, ![X103, X104]:(~r2_tarski(X103,X104)|m1_subset_1(X103,X104)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_55, plain, ![X95, X96]:((~r2_tarski(X95,X96)|r2_hidden(X95,X96))&(~r2_hidden(X95,X96)|r2_tarski(X95,X96))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_56, plain, (r2_hidden(X1,X3)|~m2_finseq_1(X1,X2)|X3!=k13_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_57, plain, (k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_58, plain, ![X1, X2]:((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>(v4_rewrite1(k2_gr_free0(X1,X2))&v10_rewrite1(k2_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[fc8_gr_free0])).
fof(c_0_59, plain, ![X86, X87]:(v1_xboole_0(X86)|~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_rewrite1(k2_gr_free0(X86,X87))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])).
cnf(c_0_60, plain, (r2_hidden(X2,k9_relat_1(X3,X1))|~r2_hidden(k4_tarski(X1,X2),X3)|~v1_relat_1(X3)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_61, negated_conjecture, (k9_relat_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),esk3_0)=esk4_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_43, c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_62, plain, (r2_hidden(k4_tarski(X2,X3),k1_msualg_5(X4,X1))|v1_xboole_0(X4)|~r2_rewrite1(X1,X2,X3)|~m1_subset_1(X3,X4)|~m1_subset_1(X2,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X4,X4)))), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_63, plain, (~v1_xboole_0(u1_struct_0(k10_monoid_0(X1)))), inference(rw,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_64, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_65, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_66, plain, (r2_hidden(X1,X3)|X3!=u1_struct_0(k10_monoid_0(X2))|~m2_finseq_1(X1,X2)), inference(rw,[status(thm)],[c_0_56, c_0_53])).
fof(c_0_67, plain, ![X63, X64, X65]:(~m1_subset_1(X65,k1_zfmisc_1(k2_zfmisc_1(X63,X64)))|v1_relat_1(X65)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_68, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X2))=>(X4=k7_gr_free0(X1,X2,X3)<=>(r2_tarski(X4,X3)&r3_rewrite1(k2_gr_free0(X1,X2),X4))))))), inference(fof_simplification,[status(thm)],[d7_gr_free0])).
fof(c_0_69, plain, ![X100, X101, X102]:((~r2_hidden(X101,k1_relat_1(X100))|r2_hidden(X102,k1_relat_1(X100))|~r1_rewrite1(X100,X101,X102)|~v1_relat_1(X100))&(~r2_hidden(X102,k1_relat_1(X100))|r2_hidden(X101,k1_relat_1(X100))|~r1_rewrite1(X100,X101,X102)|~v1_relat_1(X100))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_rewrite1])])])])).
cnf(c_0_70, plain, (k1_relat_1(k2_gr_free0(X1,X2))=u1_struct_0(k10_monoid_0(k1_gr_free0(X2)))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_group_7(X2)|~v4_relat_1(X2,X1)|~v1_partfun1(X2,X1)|~v2_group_7(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_38]), c_0_53])).
cnf(c_0_71, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_72, plain, ![X74, X75, X76]:(((r3_rewrite1(X74,X76)|~r4_rewrite1(X74,X75,X76)|~v1_relat_1(X74))&(r1_rewrite1(X74,X75,X76)|~r4_rewrite1(X74,X75,X76)|~v1_relat_1(X74)))&(~r3_rewrite1(X74,X76)|~r1_rewrite1(X74,X75,X76)|r4_rewrite1(X74,X75,X76)|~v1_relat_1(X74))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_rewrite1])])])])).
fof(c_0_73, plain, ![X114, X115]:(~v1_relat_1(X114)|~v2_rewrite1(X114)|~v4_rewrite1(X114)|r4_rewrite1(X114,X115,k2_rewrite1(X114,X115))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_rewrite1])])])).
fof(c_0_74, plain, ![X88, X89]:((v4_rewrite1(k2_gr_free0(X88,X89))|(v1_xboole_0(X88)|~v1_relat_1(X89)|~v4_relat_1(X89,X88)|~v1_funct_1(X89)|~v1_partfun1(X89,X88)|~v1_group_7(X89)|~v2_group_7(X89,X88)|~v3_group_7(X89,X88)))&(v10_rewrite1(k2_gr_free0(X88,X89))|(v1_xboole_0(X88)|~v1_relat_1(X89)|~v4_relat_1(X89,X88)|~v1_funct_1(X89)|~v1_partfun1(X89,X88)|~v1_group_7(X89)|~v2_group_7(X89,X88)|~v3_group_7(X89,X88)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])).
fof(c_0_75, plain, ![X66]:((v1_relat_1(X66)|(~v1_relat_1(X66)|~v3_rewrite1(X66)))&(v2_rewrite1(X66)|(~v1_relat_1(X66)|~v3_rewrite1(X66)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_rewrite1])])])).
cnf(c_0_76, plain, (v1_xboole_0(X1)|v3_rewrite1(k2_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_77, negated_conjecture, (r2_hidden(X1,esk4_0)|~r2_hidden(k4_tarski(esk3_0,X1),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))|~v1_relat_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_78, plain, (r2_hidden(k4_tarski(X1,X2),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X3))),k2_gr_free0(X4,X3)))|~r2_rewrite1(k2_gr_free0(X4,X3),X1,X2)|~m1_subset_1(X2,u1_struct_0(k10_monoid_0(k1_gr_free0(X3))))|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(X3))))|~v2_group_7(X3,X4)|~v1_group_7(X3)|~v1_partfun1(X3,X4)|~v1_funct_1(X3)|~v4_relat_1(X3,X4)|~v1_relat_1(X3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_44]), c_0_63])).
cnf(c_0_79, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X2)), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_80, plain, (r2_hidden(X1,u1_struct_0(k10_monoid_0(X2)))|~m2_finseq_1(X1,X2)), inference(er,[status(thm)],[c_0_66])).
cnf(c_0_81, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_67])).
fof(c_0_82, plain, ![X77, X78, X79, X80]:(((r2_tarski(X80,X79)|X80!=k7_gr_free0(X77,X78,X79)|~m2_finseq_1(X80,k1_gr_free0(X78))|~m1_subset_1(X79,u1_struct_0(k3_gr_free0(X77,X78)))|(~v1_relat_1(X78)|~v4_relat_1(X78,X77)|~v1_funct_1(X78)|~v1_partfun1(X78,X77)|~v1_group_7(X78)|~v2_group_7(X78,X77)|~v3_group_7(X78,X77))|v1_xboole_0(X77))&(r3_rewrite1(k2_gr_free0(X77,X78),X80)|X80!=k7_gr_free0(X77,X78,X79)|~m2_finseq_1(X80,k1_gr_free0(X78))|~m1_subset_1(X79,u1_struct_0(k3_gr_free0(X77,X78)))|(~v1_relat_1(X78)|~v4_relat_1(X78,X77)|~v1_funct_1(X78)|~v1_partfun1(X78,X77)|~v1_group_7(X78)|~v2_group_7(X78,X77)|~v3_group_7(X78,X77))|v1_xboole_0(X77)))&(~r2_tarski(X80,X79)|~r3_rewrite1(k2_gr_free0(X77,X78),X80)|X80=k7_gr_free0(X77,X78,X79)|~m2_finseq_1(X80,k1_gr_free0(X78))|~m1_subset_1(X79,u1_struct_0(k3_gr_free0(X77,X78)))|(~v1_relat_1(X78)|~v4_relat_1(X78,X77)|~v1_funct_1(X78)|~v1_partfun1(X78,X77)|~v1_group_7(X78)|~v2_group_7(X78,X77)|~v3_group_7(X78,X77))|v1_xboole_0(X77))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])])).
cnf(c_0_83, plain, (m2_finseq_1(X1,X3)|~r2_hidden(X1,X2)|X2!=k13_finseq_1(X3)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_84, plain, (r2_hidden(X3,k1_relat_1(X2))|~r2_hidden(X1,k1_relat_1(X2))|~r1_rewrite1(X2,X1,X3)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_85, negated_conjecture, (k1_relat_1(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])]), c_0_71])).
cnf(c_0_86, plain, (r1_rewrite1(X1,X2,X3)|~r4_rewrite1(X1,X2,X3)|~v1_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_87, plain, (r4_rewrite1(X1,X2,k2_rewrite1(X1,X2))|~v1_relat_1(X1)|~v2_rewrite1(X1)|~v4_rewrite1(X1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_88, plain, (v4_rewrite1(k2_gr_free0(X1,X2))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_89, negated_conjecture, (v3_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_90, plain, (v2_rewrite1(X1)|~v1_relat_1(X1)|~v3_rewrite1(X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_91, negated_conjecture, (v3_rewrite1(k2_gr_free0(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])]), c_0_71])).
cnf(c_0_92, negated_conjecture, (r2_hidden(X1,esk4_0)|~r2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0,X1)|~m1_subset_1(esk3_0,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_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_77, c_0_78]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_93, plain, (m1_subset_1(X1,u1_struct_0(k10_monoid_0(X2)))|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_79, c_0_80])).
cnf(c_0_94, negated_conjecture, (m2_finseq_1(esk3_0,k1_gr_free0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_95, plain, (v1_relat_1(k1_msualg_5(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(spm,[status(thm)],[c_0_81, c_0_33])).
cnf(c_0_96, plain, (X1=k7_gr_free0(X3,X4,X2)|v1_xboole_0(X3)|~r2_tarski(X1,X2)|~r3_rewrite1(k2_gr_free0(X3,X4),X1)|~m2_finseq_1(X1,k1_gr_free0(X4))|~m1_subset_1(X2,u1_struct_0(k3_gr_free0(X3,X4)))|~v1_relat_1(X4)|~v4_relat_1(X4,X3)|~v1_funct_1(X4)|~v1_partfun1(X4,X3)|~v1_group_7(X4)|~v2_group_7(X4,X3)|~v3_group_7(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_97, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k3_gr_free0(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_98, plain, (r3_rewrite1(X1,X2)|~r4_rewrite1(X1,X3,X2)|~v1_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_99, plain, (m2_finseq_1(X1,X3)|X2!=u1_struct_0(k10_monoid_0(X3))|~r2_hidden(X1,X2)), inference(rw,[status(thm)],[c_0_83, c_0_53])).
cnf(c_0_100, negated_conjecture, (r2_hidden(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~r1_rewrite1(k2_gr_free0(esk1_0,esk2_0),X2,X1)|~r2_hidden(X2,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_101, plain, (r1_rewrite1(X1,X2,k2_rewrite1(X1,X2))|~v4_rewrite1(X1)|~v2_rewrite1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_102, negated_conjecture, (v4_rewrite1(k2_gr_free0(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])]), c_0_71])).
cnf(c_0_103, negated_conjecture, (v2_rewrite1(k2_gr_free0(esk1_0,esk2_0))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_90, c_0_91])).
cnf(c_0_104, negated_conjecture, (r2_hidden(X1,esk4_0)|~r2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0,X1)|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_94])])).
cnf(c_0_105, plain, (v1_relat_1(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_95, c_0_44])).
fof(c_0_106, plain, ![X105, X106, X107]:((r2_rewrite1(X105,X106,X107)|~r1_rewrite1(X105,X106,X107)|~v1_relat_1(X105))&(r2_rewrite1(X105,X107,X106)|~r1_rewrite1(X105,X106,X107)|~v1_relat_1(X105))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_rewrite1])])])])).
cnf(c_0_107, negated_conjecture, (X1=k7_gr_free0(esk1_0,esk2_0,esk4_0)|~r2_tarski(X1,esk4_0)|~r3_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1)|~m2_finseq_1(X1,k1_gr_free0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_89]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])]), c_0_71])).
cnf(c_0_108, plain, (r3_rewrite1(X1,k2_rewrite1(X1,X2))|~v4_rewrite1(X1)|~v2_rewrite1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_98, c_0_87])).
cnf(c_0_109, plain, (m2_finseq_1(X1,X2)|~r2_hidden(X1,u1_struct_0(k10_monoid_0(X2)))), inference(er,[status(thm)],[c_0_99])).
cnf(c_0_110, negated_conjecture, (r2_hidden(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~r2_hidden(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_102])]), c_0_103])).
cnf(c_0_111, negated_conjecture, (r2_hidden(X1,esk4_0)|~r2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0,X1)|~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(spm,[status(thm)],[c_0_104, c_0_105]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_112, plain, (r2_rewrite1(X1,X2,X3)|~r1_rewrite1(X1,X2,X3)|~v1_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_113, negated_conjecture, (k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1)=k7_gr_free0(esk1_0,esk2_0,esk4_0)|~r2_tarski(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1),esk4_0)|~m2_finseq_1(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1),k1_gr_free0(esk2_0))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_102])]), c_0_103])).
cnf(c_0_114, negated_conjecture, (m2_finseq_1(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1),k1_gr_free0(esk2_0))|~r2_hidden(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_109, c_0_110])).
cnf(c_0_115, negated_conjecture, (r2_hidden(X1,esk4_0)|~r1_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0,X1)|~m1_subset_1(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_111, c_0_112])).
cnf(c_0_116, negated_conjecture, (k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1)=k7_gr_free0(esk1_0,esk2_0,esk4_0)|~r2_tarski(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1),esk4_0)|~r2_hidden(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_117, negated_conjecture, (r2_hidden(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0),esk4_0)|~m1_subset_1(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_101]), c_0_102])]), c_0_103])).
cnf(c_0_118, negated_conjecture, (m1_subset_1(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~r2_hidden(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_79, c_0_110])).
cnf(c_0_119, negated_conjecture, (k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1)=k7_gr_free0(esk1_0,esk2_0,esk4_0)|~r2_hidden(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),X1),esk4_0)|~r2_hidden(X1,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_116, c_0_65])).
cnf(c_0_120, negated_conjecture, (r2_hidden(k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0),esk4_0)|~r2_hidden(esk3_0,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_117, c_0_118])).
cnf(c_0_121, negated_conjecture, (k7_gr_free0(esk1_0,esk2_0,esk4_0)!=k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),esk3_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_122, negated_conjecture, (~r2_hidden(esk3_0,u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_121])).
cnf(c_0_123, negated_conjecture, (~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_80]), c_0_94])])).
cnf(c_0_124, plain, (v1_relat_1(k2_gr_free0(X1,X2))|~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_81, c_0_44])).
cnf(c_0_125, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 126
# Proof object clause steps            : 75
# Proof object formula steps           : 51
# Proof object conjectures             : 40
# Proof object clause conjectures      : 37
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 35
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 33
# Proof object simplifying inferences  : 82
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 54
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 51
# Processed clauses                    : 192
# ...of these trivial                  : 0
# ...subsumed                          : 9
# ...remaining for further processing  : 183
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 11
# Backward-rewritten                   : 2
# Generated clauses                    : 123
# ...of the previous two non-trivial   : 111
# Contextual simplify-reflections      : 6
# Paramodulations                      : 119
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 115
#    Positive orientable unit clauses  : 19
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 92
# Current number of unprocessed clauses: 21
# ...number of literals in the above   : 111
# Current number of archived formulas  : 0
# Current number of archived clauses   : 66
# Clause-clause subsumption calls (NU) : 6390
# Rec. Clause-clause subsumption calls : 1292
# Non-unit clause-clause subsumptions  : 26
# Unit Clause-clause subsumption calls : 43
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 10705

# -------------------------------------------------
# User time                : 0.026 s
# System time              : 0.008 s
# Total time               : 0.033 s
# Maximum resident set size: 3408 pages
