# 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(rd1_group_24, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k7_group_1(k4_gr_cy_1(X1))=X1), file('group_24/group_24__t81_group_24', rd1_group_24)).
fof(t81_group_24, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>k2_group_1(k4_gr_cy_1(X1),X2)=k5_group_1(k4_gr_cy_1(X1),X2,k6_xcmplx_0(X1,np__1)))), file('group_24/group_24__t81_group_24', t81_group_24)).
fof(fc5_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((((~(v2_struct_0(k4_gr_cy_1(X1)))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), file('group_24/group_24__t81_group_24', fc5_gr_cy_1)).
fof(dt_k4_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((~(v2_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), file('group_24/group_24__t81_group_24', dt_k4_gr_cy_1)).
fof(t10_gr_cy_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(((((~(v2_struct_0(X2))&v8_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X2))=>k2_group_1(X2,k5_group_1(X2,X3,X1))=k5_group_1(X2,X3,k6_xcmplx_0(k7_group_1(X2),k4_nat_d(X1,k7_group_1(X2))))))), file('group_24/group_24__t81_group_24', t10_gr_cy_1)).
fof(t5_pepin, axiom, ![X1]:(v1_int_1(X1)=>(~(r1_xxreal_0(X1,np__1))=>k5_int_1(np__1,X1)=np__1)), file('group_24/group_24__t81_group_24', t5_pepin)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t81_group_24', cc8_ordinal1)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('group_24/group_24__t81_group_24', cc2_int_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('group_24/group_24__t81_group_24', spc1_numerals)).
fof(t53_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>~(((~(v8_ordinal1(X1))&X1!=np__1)&r1_xxreal_0(X1,np__1)))), file('group_24/group_24__t81_group_24', t53_nat_1)).
fof(t31_group_1, axiom, ![X1]:(v1_int_1(X1)=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>k5_group_1(X2,k1_group_1(X2),X1)=k1_group_1(X2))), file('group_24/group_24__t81_group_24', t31_group_1)).
fof(redefinition_k4_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>k4_nat_d(X1,X2)=k5_int_1(X1,X2)), file('group_24/group_24__t81_group_24', redefinition_k4_nat_d)).
fof(t26_group_1, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_group_1(X1,X2,np__1)=X2)), file('group_24/group_24__t81_group_24', t26_group_1)).
fof(fc4_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k6_xcmplx_0(X1,X2))), file('group_24/group_24__t81_group_24', fc4_int_1)).
fof(t73_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v7_struct_0(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>X2=k1_group_1(X1)))), file('group_24/group_24__t81_group_24', t73_group_24)).
fof(fc9_group_24, axiom, ((~(v2_struct_0(k4_gr_cy_1(np__1)))&v7_struct_0(k4_gr_cy_1(np__1)))&v15_algstr_0(k4_gr_cy_1(np__1))), file('group_24/group_24__t81_group_24', fc9_group_24)).
fof(t8_group_1, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>k2_group_1(X1,k1_group_1(X1))=k1_group_1(X1)), file('group_24/group_24__t81_group_24', t8_group_1)).
fof(c_0_17, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k7_group_1(k4_gr_cy_1(X1))=X1), inference(fof_simplification,[status(thm)],[rd1_group_24])).
fof(c_0_18, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>k2_group_1(k4_gr_cy_1(X1),X2)=k5_group_1(k4_gr_cy_1(X1),X2,k6_xcmplx_0(X1,np__1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t81_group_24])])).
fof(c_0_19, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((((~v2_struct_0(k4_gr_cy_1(X1))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[fc5_gr_cy_1])).
fof(c_0_20, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((~v2_struct_0(k4_gr_cy_1(X1))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_cy_1])).
fof(c_0_21, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(((((~v2_struct_0(X2)&v8_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X2))=>k2_group_1(X2,k5_group_1(X2,X3,X1))=k5_group_1(X2,X3,k6_xcmplx_0(k7_group_1(X2),k4_nat_d(X1,k7_group_1(X2))))))), inference(fof_simplification,[status(thm)],[t10_gr_cy_1])).
fof(c_0_22, plain, ![X35]:(~v7_ordinal1(X35)|v8_ordinal1(X35)|k7_group_1(k4_gr_cy_1(X35))=X35), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])).
fof(c_0_23, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(esk1_0)))&k2_group_1(k4_gr_cy_1(esk1_0),esk2_0)!=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(esk1_0,np__1)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_24, plain, ![X34]:(((((~v2_struct_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34)))&(v8_struct_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34))))&(v15_algstr_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34))))&(v2_group_1(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34))))&(v3_group_1(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_25, plain, ![X31]:(((~v2_struct_0(k4_gr_cy_1(X31))|(~v7_ordinal1(X31)|v8_ordinal1(X31)))&(v15_algstr_0(k4_gr_cy_1(X31))|(~v7_ordinal1(X31)|v8_ordinal1(X31))))&(l3_algstr_0(k4_gr_cy_1(X31))|(~v7_ordinal1(X31)|v8_ordinal1(X31)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_26, plain, ![X1]:(v1_int_1(X1)=>(~r1_xxreal_0(X1,np__1)=>k5_int_1(np__1,X1)=np__1)), inference(fof_simplification,[status(thm)],[t5_pepin])).
fof(c_0_27, plain, ![X38, X39, X40]:(~v7_ordinal1(X38)|(v2_struct_0(X39)|~v8_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39)|(~m1_subset_1(X40,u1_struct_0(X39))|k2_group_1(X39,k5_group_1(X39,X40,X38))=k5_group_1(X39,X40,k6_xcmplx_0(k7_group_1(X39),k4_nat_d(X38,k7_group_1(X39))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
cnf(c_0_28, plain, (v8_ordinal1(X1)|k7_group_1(k4_gr_cy_1(X1))=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, plain, (v3_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, plain, (v2_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (v8_struct_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_34, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_35, plain, ![X30]:(~m1_subset_1(X30,k4_ordinal1)|v7_ordinal1(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_36, plain, ![X46]:(~v1_int_1(X46)|(r1_xxreal_0(X46,np__1)|k5_int_1(np__1,X46)=np__1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])).
fof(c_0_37, plain, ![X29]:(~v7_ordinal1(X29)|v1_int_1(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_38, plain, (v2_struct_0(X2)|k2_group_1(X2,k5_group_1(X2,X3,X1))=k5_group_1(X2,X3,k6_xcmplx_0(k7_group_1(X2),k4_nat_d(X1,k7_group_1(X2))))|~v7_ordinal1(X1)|~v8_struct_0(X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(X2))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_39, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_40, negated_conjecture, (k7_group_1(k4_gr_cy_1(esk1_0))=esk1_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])).
cnf(c_0_41, negated_conjecture, (v3_group_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_29]), c_0_30])).
cnf(c_0_42, negated_conjecture, (v2_group_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_29]), c_0_30])).
cnf(c_0_43, negated_conjecture, (v8_struct_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_29]), c_0_30])).
cnf(c_0_44, negated_conjecture, (l3_algstr_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_29]), c_0_30])).
cnf(c_0_45, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_46, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_47, plain, ![X1]:(v7_ordinal1(X1)=>~(((~v8_ordinal1(X1)&X1!=np__1)&r1_xxreal_0(X1,np__1)))), inference(fof_simplification,[status(thm)],[t53_nat_1])).
cnf(c_0_48, plain, (r1_xxreal_0(X1,np__1)|k5_int_1(np__1,X1)=np__1|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_49, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_50, plain, ![X1]:(v1_int_1(X1)=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>k5_group_1(X2,k1_group_1(X2),X1)=k1_group_1(X2))), inference(fof_simplification,[status(thm)],[t31_group_1])).
cnf(c_0_51, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(esk1_0,k4_nat_d(X1,esk1_0)))=k2_group_1(k4_gr_cy_1(esk1_0),k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,X1))|v2_struct_0(k4_gr_cy_1(esk1_0))|~v7_ordinal1(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_38, c_0_39]), c_0_40]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_52, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
fof(c_0_53, plain, ![X36, X37]:(~v7_ordinal1(X36)|~v7_ordinal1(X37)|k4_nat_d(X36,X37)=k5_int_1(X36,X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
fof(c_0_54, plain, ![X45]:(~v7_ordinal1(X45)|(v8_ordinal1(X45)|X45=np__1|~r1_xxreal_0(X45,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])).
cnf(c_0_55, plain, (k5_int_1(np__1,X1)=np__1|r1_xxreal_0(X1,np__1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
fof(c_0_56, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_group_1(X1,X2,np__1)=X2)), inference(fof_simplification,[status(thm)],[t26_group_1])).
fof(c_0_57, plain, ![X43, X44]:(~v1_int_1(X43)|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)|k5_group_1(X44,k1_group_1(X44),X43)=k1_group_1(X44))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])).
cnf(c_0_58, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(esk1_0,k4_nat_d(np__1,esk1_0)))=k2_group_1(k4_gr_cy_1(esk1_0),k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,np__1))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_59, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_60, plain, (v8_ordinal1(X1)|X1=np__1|~v7_ordinal1(X1)|~r1_xxreal_0(X1,np__1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_61, negated_conjecture, (k5_int_1(np__1,esk1_0)=np__1|r1_xxreal_0(esk1_0,np__1)), inference(spm,[status(thm)],[c_0_55, c_0_29])).
fof(c_0_62, plain, ![X41, X42]:(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41)|(~m1_subset_1(X42,u1_struct_0(X41))|k5_group_1(X41,X42,np__1)=X42)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])).
cnf(c_0_63, plain, (v2_struct_0(X2)|k5_group_1(X2,k1_group_1(X2),X1)=k1_group_1(X2)|~v1_int_1(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
fof(c_0_64, plain, ![X32, X33]:(~v1_int_1(X32)|~v1_int_1(X33)|v1_int_1(k6_xcmplx_0(X32,X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_int_1])])).
cnf(c_0_65, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(esk1_0,k5_int_1(np__1,esk1_0)))=k2_group_1(k4_gr_cy_1(esk1_0),k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,np__1))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_29]), c_0_52])])).
cnf(c_0_66, negated_conjecture, (k5_int_1(np__1,esk1_0)=np__1|np__1=esk1_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_29])]), c_0_30])).
cnf(c_0_67, plain, (v2_struct_0(X1)|k5_group_1(X1,X2,np__1)=X2|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_68, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),k1_group_1(k4_gr_cy_1(esk1_0)),X1)=k1_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_41]), c_0_42]), c_0_44])])).
cnf(c_0_69, plain, (v1_int_1(k6_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_64])).
fof(c_0_70, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v7_struct_0(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>X2=k1_group_1(X1)))), inference(fof_simplification,[status(thm)],[t73_group_24])).
cnf(c_0_71, negated_conjecture, (k2_group_1(k4_gr_cy_1(esk1_0),k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,np__1))=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(esk1_0,np__1))|np__1=esk1_0|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_72, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,np__1)=esk2_0|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_39]), c_0_41]), c_0_42]), c_0_44])])).
cnf(c_0_73, negated_conjecture, (k2_group_1(k4_gr_cy_1(esk1_0),esk2_0)!=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(esk1_0,np__1))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_74, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),k1_group_1(k4_gr_cy_1(esk1_0)),k6_xcmplx_0(X1,X2))=k1_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_68, c_0_69])).
fof(c_0_75, plain, ![X47, X48]:((~v7_struct_0(X47)|(~m1_subset_1(X48,u1_struct_0(X47))|X48=k1_group_1(X47))|(v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47)))&((m1_subset_1(esk3_1(X47),u1_struct_0(X47))|v7_struct_0(X47)|(v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47)))&(esk3_1(X47)!=k1_group_1(X47)|v7_struct_0(X47)|(v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47))))), 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_70])])])])])).
fof(c_0_76, plain, ((~v2_struct_0(k4_gr_cy_1(np__1))&v7_struct_0(k4_gr_cy_1(np__1)))&v15_algstr_0(k4_gr_cy_1(np__1))), inference(fof_simplification,[status(thm)],[fc9_group_24])).
cnf(c_0_77, plain, (v8_ordinal1(X1)|~v2_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_78, negated_conjecture, (np__1=esk1_0|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73])).
cnf(c_0_79, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),k1_group_1(k4_gr_cy_1(esk1_0)),k6_xcmplx_0(X1,X2))=k1_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))|~v1_int_1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_74, c_0_49])).
cnf(c_0_80, plain, (X2=k1_group_1(X1)|v2_struct_0(X1)|~v7_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_81, plain, (v7_struct_0(k4_gr_cy_1(np__1))), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_82, negated_conjecture, (np__1=esk1_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_29])]), c_0_30])).
cnf(c_0_83, plain, (~v2_struct_0(k4_gr_cy_1(np__1))), inference(split_conjunct,[status(thm)],[c_0_76])).
fof(c_0_84, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>k2_group_1(X1,k1_group_1(X1))=k1_group_1(X1)), inference(fof_simplification,[status(thm)],[t8_group_1])).
cnf(c_0_85, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),k1_group_1(k4_gr_cy_1(esk1_0)),k6_xcmplx_0(X1,X2))=k1_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_79, c_0_49])).
cnf(c_0_86, negated_conjecture, (k1_group_1(k4_gr_cy_1(esk1_0))=esk2_0|v2_struct_0(k4_gr_cy_1(esk1_0))|~v7_struct_0(k4_gr_cy_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_39]), c_0_41]), c_0_42]), c_0_44])])).
cnf(c_0_87, plain, (v7_struct_0(k4_gr_cy_1(esk1_0))), inference(rw,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_88, plain, (~v2_struct_0(k4_gr_cy_1(esk1_0))), inference(rw,[status(thm)],[c_0_83, c_0_82])).
fof(c_0_89, plain, ![X50]:(v2_struct_0(X50)|~v2_group_1(X50)|~v3_group_1(X50)|~l3_algstr_0(X50)|k2_group_1(X50,k1_group_1(X50))=k1_group_1(X50)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])).
cnf(c_0_90, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),k1_group_1(k4_gr_cy_1(esk1_0)),k6_xcmplx_0(X1,esk1_0))=k1_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_85, c_0_29])).
cnf(c_0_91, negated_conjecture, (k1_group_1(k4_gr_cy_1(esk1_0))=esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_87])]), c_0_88])).
cnf(c_0_92, plain, (v2_struct_0(X1)|k2_group_1(X1,k1_group_1(X1))=k1_group_1(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_93, plain, (v3_group_1(k4_gr_cy_1(np__1))|v8_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_31, c_0_52])).
cnf(c_0_94, plain, (l3_algstr_0(k4_gr_cy_1(np__1))|v8_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_34, c_0_52])).
cnf(c_0_95, plain, (v2_group_1(k4_gr_cy_1(np__1))|v8_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_32, c_0_52])).
cnf(c_0_96, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(esk1_0,esk1_0))!=k2_group_1(k4_gr_cy_1(esk1_0),esk2_0)), inference(rw,[status(thm)],[c_0_73, c_0_82])).
cnf(c_0_97, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k6_xcmplx_0(X1,esk1_0))=esk2_0|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91]), c_0_91]), c_0_88])).
cnf(c_0_98, plain, (k2_group_1(k4_gr_cy_1(np__1),k1_group_1(k4_gr_cy_1(np__1)))=k1_group_1(k4_gr_cy_1(np__1))|v8_ordinal1(np__1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_83]), c_0_94]), c_0_95])).
cnf(c_0_99, negated_conjecture, (k2_group_1(k4_gr_cy_1(esk1_0),esk2_0)!=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_29])])).
cnf(c_0_100, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98, c_0_82]), c_0_82]), c_0_82]), c_0_82]), c_0_30]), c_0_91]), c_0_91]), c_0_99]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 101
# Proof object clause steps            : 57
# Proof object formula steps           : 44
# Proof object conjectures             : 31
# Proof object clause conjectures      : 28
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 24
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 27
# Proof object simplifying inferences  : 55
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 31
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 31
# Processed clauses                    : 139
# ...of these trivial                  : 0
# ...subsumed                          : 5
# ...remaining for further processing  : 133
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 52
# Generated clauses                    : 88
# ...of the previous two non-trivial   : 125
# Contextual simplify-reflections      : 4
# Paramodulations                      : 82
# 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  : 45
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 26
# Current number of unprocessed clauses: 46
# ...number of literals in the above   : 134
# Current number of archived formulas  : 0
# Current number of archived clauses   : 88
# Clause-clause subsumption calls (NU) : 871
# Rec. Clause-clause subsumption calls : 428
# Non-unit clause-clause subsumptions  : 10
# Unit Clause-clause subsumption calls : 96
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 10
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 5494

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.004 s
# Total time               : 0.029 s
# Maximum resident set size: 3456 pages
