# 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(t16_number02, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(~(r1_xxreal_0(X1,X3))=>k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(X1,X2),X3),X1)=X3)))), file('number15/number15__t8_number15', t16_number02)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('number15/number15__t8_number15', cc8_ordinal1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('number15/number15__t8_number15', spc1_numerals)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('number15/number15__t8_number15', spc2_numerals)).
fof(t3_radix_2, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v7_ordinal1(X3)=>k5_int_1(k3_xcmplx_0(X1,X2),X3)=k5_int_1(k3_xcmplx_0(X1,k5_int_1(X2,X3)),X3)))), file('number15/number15__t8_number15', t3_radix_2)).
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('number15/number15__t8_number15', redefinition_k4_nat_d)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('number15/number15__t8_number15', cc2_int_1)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('number15/number15__t8_number15', spc4_numerals)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom, ~(r1_xxreal_0(np__4,np__1)), file('number15/number15__t8_number15', rqLessOrEqual__r1_xxreal_0__r4_r1)).
fof(fc2_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k3_xcmplx_0(X1,X2))), file('number15/number15__t8_number15', fc2_nat_1)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('number15/number15__t8_number15', spc3_numerals)).
fof(commutativity_k3_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)), file('number15/number15__t8_number15', commutativity_k3_xcmplx_0)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('number15/number15__t8_number15', cc1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r4_r2_r8, axiom, k3_xcmplx_0(np__4,np__2)=np__8, file('number15/number15__t8_number15', rqRealMult__k3_xcmplx_0__r4_r2_r8)).
fof(rqRealAdd__k2_xcmplx_0__r8_r1_r9, axiom, k2_xcmplx_0(np__8,np__1)=np__9, file('number15/number15__t8_number15', rqRealAdd__k2_xcmplx_0__r8_r1_r9)).
fof(rqRealMult__k3_xcmplx_0__r3_r3_r9, axiom, k3_xcmplx_0(np__3,np__3)=np__9, file('number15/number15__t8_number15', rqRealMult__k3_xcmplx_0__r3_r3_r9)).
fof(t3_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k3_xcmplx_0(np__1,X1)=X1), file('number15/number15__t8_number15', t3_arithm)).
fof(t8_number15, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(((k4_nat_d(X2,np__4)=np__1&k4_nat_d(X1,np__4)=np__1)|(k4_nat_d(X2,np__4)=np__3&k4_nat_d(X1,np__4)=np__3))=>k4_nat_d(k3_xcmplx_0(X2,X1),np__4)=np__1))), file('number15/number15__t8_number15', t8_number15)).
fof(c_0_18, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(~r1_xxreal_0(X1,X3)=>k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(X1,X2),X3),X1)=X3)))), inference(fof_simplification,[status(thm)],[t16_number02])).
fof(c_0_19, plain, ![X26]:(~m1_subset_1(X26,k4_ordinal1)|v7_ordinal1(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_20, plain, ![X33, X34, X35]:(~v7_ordinal1(X33)|(~v7_ordinal1(X34)|(~v7_ordinal1(X35)|(r1_xxreal_0(X33,X35)|k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(X33,X34),X35),X33)=X35)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
cnf(c_0_21, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_22, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_23, plain, (r1_xxreal_0(X1,X3)|k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(X1,X2),X3),X1)=X3|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_24, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_25, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_26, plain, ![X37, X38, X39]:(~v1_int_1(X37)|(~v1_int_1(X38)|(~v7_ordinal1(X39)|k5_int_1(k3_xcmplx_0(X37,X38),X39)=k5_int_1(k3_xcmplx_0(X37,k5_int_1(X38,X39)),X39)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_radix_2])])])).
fof(c_0_27, plain, ![X31, X32]:(~v7_ordinal1(X31)|~v7_ordinal1(X32)|k4_nat_d(X31,X32)=k5_int_1(X31,X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
fof(c_0_28, plain, ![X25]:(~v7_ordinal1(X25)|v1_int_1(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_29, plain, (k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(X1,X2),np__1),X1)=np__1|r1_xxreal_0(X1,np__1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_30, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_21, c_0_25])).
cnf(c_0_31, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
fof(c_0_32, plain, ~r1_xxreal_0(np__4,np__1), inference(fof_simplification,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r4_r1])).
fof(c_0_33, plain, ![X29, X30]:(~v7_ordinal1(X29)|~v7_ordinal1(X30)|v7_ordinal1(k3_xcmplx_0(X29,X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_nat_1])])).
cnf(c_0_34, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
fof(c_0_35, plain, ![X27, X28]:(~v1_xcmplx_0(X27)|~v1_xcmplx_0(X28)|k3_xcmplx_0(X27,X28)=k3_xcmplx_0(X28,X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
fof(c_0_36, plain, ![X24]:(~v7_ordinal1(X24)|v1_xcmplx_0(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
cnf(c_0_37, plain, (k5_int_1(k3_xcmplx_0(X1,X2),X3)=k5_int_1(k3_xcmplx_0(X1,k5_int_1(X2,X3)),X3)|~v1_int_1(X1)|~v1_int_1(X2)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_38, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_39, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_40, plain, (k4_nat_d(k2_xcmplx_0(k3_xcmplx_0(X1,np__2),np__1),X1)=np__1|r1_xxreal_0(X1,np__1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_41, plain, (v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_21, c_0_31])).
cnf(c_0_42, plain, (k3_xcmplx_0(np__4,np__2)=np__8), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r4_r2_r8])).
cnf(c_0_43, plain, (k2_xcmplx_0(np__8,np__1)=np__9), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r8_r1_r9])).
cnf(c_0_44, plain, (~r1_xxreal_0(np__4,np__1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_45, plain, (v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_46, plain, (k3_xcmplx_0(np__3,np__3)=np__9), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r3_r3_r9])).
cnf(c_0_47, plain, (v7_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_21, c_0_34])).
fof(c_0_48, plain, ![X36]:(~v1_xcmplx_0(X36)|k3_xcmplx_0(np__1,X36)=X36), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_arithm])])).
cnf(c_0_49, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_50, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_51, plain, (k5_int_1(k3_xcmplx_0(X1,k4_nat_d(X2,X3)),X3)=k5_int_1(k3_xcmplx_0(X1,X2),X3)|~v1_int_1(X1)|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])).
cnf(c_0_52, plain, (k4_nat_d(np__9,np__4)=np__1), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42]), c_0_43]), c_0_44])).
cnf(c_0_53, plain, (v7_ordinal1(np__9)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])])).
cnf(c_0_54, plain, (k3_xcmplx_0(np__1,X1)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_55, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_56, plain, (k5_int_1(k3_xcmplx_0(X1,np__9),np__4)=k5_int_1(k3_xcmplx_0(X1,np__1),np__4)|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_41]), c_0_53])])).
cnf(c_0_57, plain, (k3_xcmplx_0(np__1,X1)=X1|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_54, c_0_50])).
cnf(c_0_58, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_55, c_0_50])).
cnf(c_0_59, plain, (k5_int_1(k3_xcmplx_0(np__1,np__1),np__4)=k5_int_1(np__9,np__4)|~v1_int_1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_53])])).
cnf(c_0_60, plain, (k3_xcmplx_0(X1,np__1)=X1|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_24])])).
cnf(c_0_61, plain, (k5_int_1(np__9,np__4)=k5_int_1(np__1,np__4)|~v1_int_1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_24])])).
cnf(c_0_62, plain, (k5_int_1(np__9,np__4)=k5_int_1(np__1,np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_39]), c_0_24])])).
cnf(c_0_63, plain, (k4_nat_d(k3_xcmplx_0(X1,k5_int_1(X2,X3)),X3)=k5_int_1(k3_xcmplx_0(X1,X2),X3)|~v1_int_1(X2)|~v1_int_1(X1)|~v7_ordinal1(k3_xcmplx_0(X1,k5_int_1(X2,X3)))|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_38, c_0_37])).
cnf(c_0_64, plain, (k5_int_1(np__1,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_62]), c_0_52]), c_0_41]), c_0_53])])).
cnf(c_0_65, plain, (k5_int_1(k3_xcmplx_0(X1,np__1),np__4)=k4_nat_d(k3_xcmplx_0(X1,np__1),np__4)|~v1_int_1(np__1)|~v1_int_1(X1)|~v7_ordinal1(k3_xcmplx_0(X1,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_41])])).
cnf(c_0_66, plain, (k5_int_1(X1,np__4)=k4_nat_d(X1,np__4)|~v1_int_1(np__1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_60]), c_0_39])).
cnf(c_0_67, plain, (k5_int_1(k5_int_1(X1,X2),X2)=k5_int_1(k3_xcmplx_0(np__1,X1),X2)|~v1_int_1(np__1)|~v1_int_1(X1)|~v7_ordinal1(k5_int_1(X1,X2))|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_37, c_0_57])).
cnf(c_0_68, plain, (k5_int_1(X1,np__4)=k4_nat_d(X1,np__4)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_39]), c_0_24])])).
fof(c_0_69, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(((k4_nat_d(X2,np__4)=np__1&k4_nat_d(X1,np__4)=np__1)|(k4_nat_d(X2,np__4)=np__3&k4_nat_d(X1,np__4)=np__3))=>k4_nat_d(k3_xcmplx_0(X2,X1),np__4)=np__1)))), inference(assume_negation,[status(cth)],[t8_number15])).
cnf(c_0_70, plain, (k5_int_1(k3_xcmplx_0(np__1,X1),np__4)=k5_int_1(k4_nat_d(X1,np__4),np__4)|~v1_int_1(np__1)|~v7_ordinal1(k4_nat_d(X1,np__4))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_41])]), c_0_39])).
fof(c_0_71, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&((((k4_nat_d(esk2_0,np__4)=np__3|k4_nat_d(esk2_0,np__4)=np__1)&(k4_nat_d(esk1_0,np__4)=np__3|k4_nat_d(esk2_0,np__4)=np__1))&((k4_nat_d(esk2_0,np__4)=np__3|k4_nat_d(esk1_0,np__4)=np__1)&(k4_nat_d(esk1_0,np__4)=np__3|k4_nat_d(esk1_0,np__4)=np__1)))&k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)!=np__1))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])])).
cnf(c_0_72, plain, (k5_int_1(k4_nat_d(X1,np__4),np__4)=k5_int_1(X1,np__4)|~v1_int_1(np__1)|~v7_ordinal1(k4_nat_d(X1,np__4))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_70, c_0_57])).
cnf(c_0_73, negated_conjecture, (k4_nat_d(esk2_0,np__4)=np__3|k4_nat_d(esk1_0,np__4)=np__1), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_74, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_75, negated_conjecture, (k4_nat_d(esk2_0,np__4)=np__3|k4_nat_d(esk2_0,np__4)=np__1), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_76, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_77, negated_conjecture, (k4_nat_d(esk2_0,np__4)=np__3|k5_int_1(esk1_0,np__4)=np__1|~v1_int_1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_64]), c_0_24]), c_0_74])])).
cnf(c_0_78, negated_conjecture, (k4_nat_d(esk2_0,np__4)=np__1|np__3!=np__1), inference(ef,[status(thm)],[c_0_75])).
cnf(c_0_79, negated_conjecture, (k5_int_1(k3_xcmplx_0(X1,np__3),np__4)=k5_int_1(k3_xcmplx_0(X1,esk2_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_75]), c_0_41]), c_0_76])])).
cnf(c_0_80, plain, (k4_nat_d(k3_xcmplx_0(k5_int_1(X1,X2),X3),X2)=k5_int_1(k3_xcmplx_0(X3,X1),X2)|~v1_int_1(X1)|~v7_ordinal1(k5_int_1(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_58]), c_0_45]), c_0_39])).
cnf(c_0_81, negated_conjecture, (k5_int_1(esk1_0,np__4)=np__1|k4_nat_d(esk2_0,np__4)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_39]), c_0_24])])).
cnf(c_0_82, plain, (k4_nat_d(k5_int_1(X1,X2),X2)=k5_int_1(k3_xcmplx_0(np__1,X1),X2)|~v1_int_1(np__1)|~v1_int_1(X1)|~v7_ordinal1(k5_int_1(X1,X2))|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_63, c_0_57])).
cnf(c_0_83, negated_conjecture, (k5_int_1(k3_xcmplx_0(X1,np__1),np__4)=k5_int_1(k3_xcmplx_0(X1,esk2_0),np__4)|np__3!=np__1|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_78]), c_0_41]), c_0_76])])).
cnf(c_0_84, plain, (k4_nat_d(np__1,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_64]), c_0_41]), c_0_24])])).
cnf(c_0_85, negated_conjecture, (k4_nat_d(esk1_0,np__4)=np__3|k4_nat_d(esk1_0,np__4)=np__1), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_86, negated_conjecture, (k5_int_1(k3_xcmplx_0(X1,np__3),np__4)=k5_int_1(k3_xcmplx_0(X1,esk2_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_79, c_0_39])).
cnf(c_0_87, negated_conjecture, (k5_int_1(k3_xcmplx_0(X1,esk1_0),np__4)=k4_nat_d(k3_xcmplx_0(np__1,X1),np__4)|k4_nat_d(esk2_0,np__4)=np__3|~v1_int_1(esk1_0)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_24]), c_0_41])])).
cnf(c_0_88, negated_conjecture, (k5_int_1(k3_xcmplx_0(np__1,esk2_0),np__4)=np__1|np__3!=np__1|~v1_int_1(np__1)), 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_82, c_0_83]), c_0_64]), c_0_84]), c_0_64]), c_0_24]), c_0_41])])).
cnf(c_0_89, negated_conjecture, (k4_nat_d(esk1_0,np__4)=np__1|np__3!=np__1), inference(ef,[status(thm)],[c_0_85])).
cnf(c_0_90, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk1_0,np__3),np__4)=k5_int_1(k3_xcmplx_0(esk1_0,esk2_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(spm,[status(thm)],[c_0_86, c_0_74])).
cnf(c_0_91, plain, (k5_int_1(k3_xcmplx_0(X1,np__1),np__4)=k4_nat_d(k3_xcmplx_0(np__1,X1),np__4)|~v1_int_1(np__1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_64]), c_0_24]), c_0_41])])).
cnf(c_0_92, negated_conjecture, (k5_int_1(k3_xcmplx_0(X1,esk1_0),np__4)=k4_nat_d(k3_xcmplx_0(np__1,X1),np__4)|k4_nat_d(esk2_0,np__4)=np__3|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_39]), c_0_74])])).
cnf(c_0_93, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk2_0,np__1),np__4)=np__1|np__3!=np__1|~v1_int_1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_58]), c_0_24]), c_0_76])])).
cnf(c_0_94, negated_conjecture, (k5_int_1(k3_xcmplx_0(X1,np__1),np__4)=k5_int_1(k3_xcmplx_0(X1,esk1_0),np__4)|np__3!=np__1|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_89]), c_0_41]), c_0_74])])).
cnf(c_0_95, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk1_0,esk2_0),np__4)=k4_nat_d(k3_xcmplx_0(esk1_0,np__3),np__4)|k4_nat_d(esk2_0,np__4)=np__1|~v7_ordinal1(k3_xcmplx_0(esk1_0,np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_90]), c_0_41])])).
cnf(c_0_96, plain, (k5_int_1(X1,np__4)=k4_nat_d(k3_xcmplx_0(np__1,X1),np__4)|~v1_int_1(np__1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_91, c_0_60])).
cnf(c_0_97, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk2_0,esk1_0),np__4)=k4_nat_d(k3_xcmplx_0(np__1,esk2_0),np__4)|k4_nat_d(esk2_0,np__4)=np__3), inference(spm,[status(thm)],[c_0_92, c_0_76])).
cnf(c_0_98, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk2_0,esk1_0),np__4)=np__1|np__3!=np__1|~v1_int_1(np__1)|~v1_int_1(esk2_0)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_99, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)!=np__1), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_100, negated_conjecture, (k5_int_1(k3_xcmplx_0(np__1,np__3),np__4)=k5_int_1(k3_xcmplx_0(np__1,esk2_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(spm,[status(thm)],[c_0_86, c_0_24])).
cnf(c_0_101, negated_conjecture, (k4_nat_d(esk1_0,np__4)=np__3|k4_nat_d(esk2_0,np__4)=np__1), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_102, negated_conjecture, (k5_int_1(k3_xcmplx_0(np__3,esk2_0),np__4)=k5_int_1(np__9,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_47]), c_0_46])).
cnf(c_0_103, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk1_0,esk2_0),np__4)=k4_nat_d(k3_xcmplx_0(esk1_0,np__3),np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_45]), c_0_47]), c_0_74])])).
cnf(c_0_104, plain, (k5_int_1(X1,np__4)=k4_nat_d(k3_xcmplx_0(np__1,X1),np__4)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_39]), c_0_24])])).
cnf(c_0_105, negated_conjecture, (k4_nat_d(k3_xcmplx_0(np__1,esk2_0),np__4)=k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)|k4_nat_d(esk2_0,np__4)=np__3|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_97]), c_0_41])])).
cnf(c_0_106, negated_conjecture, (np__3!=np__1|~v1_int_1(np__1)|~v1_int_1(esk2_0)|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_98]), c_0_41])]), c_0_99])).
cnf(c_0_107, negated_conjecture, (k5_int_1(k3_xcmplx_0(np__1,esk2_0),np__4)=k4_nat_d(k3_xcmplx_0(np__1,np__3),np__4)|k4_nat_d(esk2_0,np__4)=np__1|~v7_ordinal1(k3_xcmplx_0(np__1,np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_100]), c_0_41])])).
cnf(c_0_108, negated_conjecture, (k5_int_1(np__3,np__4)=k5_int_1(esk1_0,np__4)|k4_nat_d(esk2_0,np__4)=np__1|~v1_int_1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_101]), c_0_47]), c_0_74])])).
cnf(c_0_109, negated_conjecture, (k5_int_1(np__9,np__4)=k4_nat_d(k3_xcmplx_0(np__3,esk2_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1|~v7_ordinal1(k3_xcmplx_0(np__3,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_102]), c_0_41])])).
cnf(c_0_110, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk2_0,esk1_0),np__4)=k4_nat_d(k3_xcmplx_0(esk1_0,np__3),np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_58]), c_0_74]), c_0_76])])).
cnf(c_0_111, plain, (k4_nat_d(k3_xcmplx_0(np__1,X1),np__4)=k4_nat_d(X1,np__4)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_104]), c_0_41])])).
cnf(c_0_112, negated_conjecture, (k4_nat_d(k3_xcmplx_0(np__1,esk2_0),np__4)=k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)|k4_nat_d(esk2_0,np__4)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_45]), c_0_74]), c_0_76])])).
cnf(c_0_113, negated_conjecture, (np__3!=np__1|~v1_int_1(esk2_0)|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_39]), c_0_24])])).
cnf(c_0_114, negated_conjecture, (k5_int_1(k3_xcmplx_0(np__1,esk2_0),np__4)=k4_nat_d(np__3,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_57]), c_0_47])])).
cnf(c_0_115, negated_conjecture, (k5_int_1(np__3,np__4)=k5_int_1(esk1_0,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_39]), c_0_24])])).
cnf(c_0_116, negated_conjecture, (k5_int_1(np__9,np__4)=k4_nat_d(k3_xcmplx_0(np__3,esk2_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_45]), c_0_76]), c_0_47])])).
cnf(c_0_117, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk1_0,np__3),np__4)=k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_110]), c_0_41])])).
cnf(c_0_118, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)=k4_nat_d(esk2_0,np__4)|k4_nat_d(esk2_0,np__4)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_76])])).
cnf(c_0_119, negated_conjecture, (np__3!=np__1|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_39]), c_0_76])])).
cnf(c_0_120, negated_conjecture, (k5_int_1(esk2_0,np__4)=k4_nat_d(np__3,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_57]), c_0_76])])).
cnf(c_0_121, negated_conjecture, (k5_int_1(esk1_0,np__4)=k4_nat_d(np__3,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_115]), c_0_41]), c_0_47])])).
cnf(c_0_122, negated_conjecture, (k4_nat_d(k3_xcmplx_0(np__3,esk2_0),np__4)=k4_nat_d(np__9,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_116]), c_0_41]), c_0_53])])).
cnf(c_0_123, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk1_0,np__3),np__4)=k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_45]), c_0_74]), c_0_76])])).
cnf(c_0_124, negated_conjecture, (k4_nat_d(esk2_0,np__4)=np__3), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_118]), c_0_75])).
cnf(c_0_125, negated_conjecture, (np__3!=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_45]), c_0_74]), c_0_76])])).
cnf(c_0_126, negated_conjecture, (k4_nat_d(np__3,np__4)=k4_nat_d(esk2_0,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_120]), c_0_41]), c_0_76])])).
cnf(c_0_127, negated_conjecture, (k4_nat_d(np__3,np__4)=k4_nat_d(esk1_0,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_121]), c_0_41]), c_0_74])])).
cnf(c_0_128, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk2_0,np__3),np__4)=k4_nat_d(np__9,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_58]), c_0_47]), c_0_76])])).
cnf(c_0_129, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk1_0,np__3),np__4)=k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_123, c_0_124]), c_0_125])).
cnf(c_0_130, negated_conjecture, (k4_nat_d(esk1_0,np__4)=k4_nat_d(esk2_0,np__4)|k4_nat_d(esk2_0,np__4)=np__1), inference(spm,[status(thm)],[c_0_126, c_0_127])).
cnf(c_0_131, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk2_0,np__3),np__4)=np__1|k4_nat_d(esk2_0,np__4)=np__1), inference(rw,[status(thm)],[c_0_128, c_0_52])).
cnf(c_0_132, plain, (k4_nat_d(k3_xcmplx_0(X1,k4_nat_d(X2,X3)),X3)=k5_int_1(k3_xcmplx_0(X1,X2),X3)|~v1_int_1(X1)|~v7_ordinal1(k3_xcmplx_0(X1,k4_nat_d(X2,X3)))|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_38]), c_0_39])).
cnf(c_0_133, negated_conjecture, (k5_int_1(k3_xcmplx_0(esk2_0,esk1_0),np__4)=k4_nat_d(k3_xcmplx_0(esk2_0,esk1_0),np__4)), inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110, c_0_124]), c_0_125]), c_0_129])).
cnf(c_0_134, negated_conjecture, (k4_nat_d(esk1_0,np__4)=np__3), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130, c_0_124]), c_0_124]), c_0_125])).
cnf(c_0_135, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk2_0,np__3),np__4)=np__1), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_131, c_0_124]), c_0_125])).
cnf(c_0_136, negated_conjecture, (~v1_int_1(esk2_0)|~v7_ordinal1(k3_xcmplx_0(esk2_0,np__3))), 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_132, c_0_133]), c_0_134]), c_0_135]), c_0_134]), c_0_41]), c_0_74])]), c_0_99])).
cnf(c_0_137, negated_conjecture, (~v7_ordinal1(k3_xcmplx_0(esk2_0,np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_39]), c_0_76])])).
cnf(c_0_138, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_45]), c_0_47]), c_0_76])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 139
# Proof object clause steps            : 108
# Proof object formula steps           : 31
# Proof object conjectures             : 61
# Proof object clause conjectures      : 58
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 24
# Proof object initial formulas used   : 18
# Proof object generating inferences   : 79
# Proof object simplifying inferences  : 157
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 18
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 28
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 28
# Processed clauses                    : 4667
# ...of these trivial                  : 211
# ...subsumed                          : 2530
# ...remaining for further processing  : 1926
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 219
# Backward-rewritten                   : 635
# Generated clauses                    : 16871
# ...of the previous two non-trivial   : 16779
# Contextual simplify-reflections      : 40
# Paramodulations                      : 16869
# Factorizations                       : 2
# 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  : 1044
#    Positive orientable unit clauses  : 84
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 956
# Current number of unprocessed clauses: 12017
# ...number of literals in the above   : 69130
# Current number of archived formulas  : 0
# Current number of archived clauses   : 882
# Clause-clause subsumption calls (NU) : 191770
# Rec. Clause-clause subsumption calls : 94629
# Non-unit clause-clause subsumptions  : 2692
# Unit Clause-clause subsumption calls : 4602
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 138
# BW rewrite match successes           : 26
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 465644

# -------------------------------------------------
# User time                : 0.410 s
# System time              : 0.016 s
# Total time               : 0.426 s
# Maximum resident set size: 3496 pages
