# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C01_F1_AE_CS_SP_PI_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.020 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('gr_free0/gr_free0__t1_gr_free0', redefinition_k1_relset_1)).
fof(cc5_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(((v1_relat_1(X1)&v4_relat_1(X1,k4_ordinal1))&v1_funct_1(X1))&v1_finseq_1(X1))), file('gr_free0/gr_free0__t1_gr_free0', cc5_finseq_1)).
fof(t47_funct_1, axiom, ![X1, X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(r2_hidden(X2,k9_xtuple_0(k5_relat_1(X3,X1)))=>k1_funct_1(k5_relat_1(X3,X1),X2)=k1_funct_1(X3,X2))), file('gr_free0/gr_free0__t1_gr_free0', t47_funct_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t1_gr_free0', redefinition_r2_tarski)).
fof(t25_finseq_3, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(v7_ordinal1(X2)=>(r2_tarski(X2,k1_relset_1(k4_ordinal1,X1))<=>(r1_xxreal_0(np__1,X2)&r1_xxreal_0(X2,k3_finseq_1(X1)))))), file('gr_free0/gr_free0__t1_gr_free0', t25_finseq_3)).
fof(t14_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(~(r1_xxreal_0(np__1,X1))=>X1=k5_numbers)), file('gr_free0/gr_free0__t1_gr_free0', t14_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('gr_free0/gr_free0__t1_gr_free0', cc8_ordinal1)).
fof(dt_k3_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>m1_subset_1(k3_finseq_1(X1),k4_ordinal1)), file('gr_free0/gr_free0__t1_gr_free0', dt_k3_finseq_1)).
fof(t40_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(X1=k9_finseq_1(X2)<=>(k3_finseq_1(X1)=np__1&k1_funct_1(X1,np__1)=X2))), file('gr_free0/gr_free0__t1_gr_free0', t40_finseq_1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('gr_free0/gr_free0__t1_gr_free0', redefinition_k5_numbers)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('gr_free0/gr_free0__t1_gr_free0', spc1_numerals)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(np__1,np__1), file('gr_free0/gr_free0__t1_gr_free0', rqLessOrEqual__r1_xxreal_0__r1_r1)).
fof(t59_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>(r1_xxreal_0(X1,k3_finseq_1(X2))=>k3_finseq_1(k16_finseq_1(X1,X2))=X1))), file('gr_free0/gr_free0__t1_gr_free0', t59_finseq_1)).
fof(d16_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>k16_finseq_1(X1,X2)=k5_relat_1(X2,k2_finseq_1(X1)))), file('gr_free0/gr_free0__t1_gr_free0', d16_finseq_1)).
fof(dt_k16_finseq_1, axiom, ![X1, X2]:((((v7_ordinal1(X1)&v1_relat_1(X2))&v1_funct_1(X2))&v1_finseq_1(X2))=>((v1_relat_1(k16_finseq_1(X1,X2))&v1_funct_1(k16_finseq_1(X1,X2)))&v1_finseq_1(k16_finseq_1(X1,X2)))), file('gr_free0/gr_free0__t1_gr_free0', dt_k16_finseq_1)).
fof(t1_gr_free0, conjecture, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(k3_finseq_1(X1)!=k5_numbers=>k16_finseq_1(np__1,X1)=k9_finseq_1(k1_funct_1(X1,np__1)))), file('gr_free0/gr_free0__t1_gr_free0', t1_gr_free0)).
fof(c_0_16, plain, ![X35, X36]:(~v1_relat_1(X36)|~v4_relat_1(X36,X35)|k1_relset_1(X35,X36)=k9_xtuple_0(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_17, plain, ![X28]:((((v1_relat_1(X28)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28)))&(v4_relat_1(X28,k4_ordinal1)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28))))&(v1_funct_1(X28)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28))))&(v1_finseq_1(X28)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_finseq_1])])])).
fof(c_0_18, plain, ![X45, X46, X47]:(~v1_relat_1(X47)|~v1_funct_1(X47)|(~r2_hidden(X46,k9_xtuple_0(k5_relat_1(X47,X45)))|k1_funct_1(k5_relat_1(X47,X45),X46)=k1_funct_1(X47,X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_funct_1])])).
fof(c_0_19, plain, ![X38, X39]:((~r2_tarski(X38,X39)|r2_hidden(X38,X39))&(~r2_hidden(X38,X39)|r2_tarski(X38,X39))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_20, plain, ![X41, X42]:(((r1_xxreal_0(np__1,X42)|~r2_tarski(X42,k1_relset_1(k4_ordinal1,X41))|~v7_ordinal1(X42)|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v1_finseq_1(X41)))&(r1_xxreal_0(X42,k3_finseq_1(X41))|~r2_tarski(X42,k1_relset_1(k4_ordinal1,X41))|~v7_ordinal1(X42)|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v1_finseq_1(X41))))&(~r1_xxreal_0(np__1,X42)|~r1_xxreal_0(X42,k3_finseq_1(X41))|r2_tarski(X42,k1_relset_1(k4_ordinal1,X41))|~v7_ordinal1(X42)|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v1_finseq_1(X41)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_finseq_3])])])])).
cnf(c_0_21, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_22, plain, (v4_relat_1(X1,k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_23, plain, ![X1]:(v7_ordinal1(X1)=>(~r1_xxreal_0(np__1,X1)=>X1=k5_numbers)), inference(fof_simplification,[status(thm)],[t14_nat_1])).
cnf(c_0_24, plain, (k1_funct_1(k5_relat_1(X1,X3),X2)=k1_funct_1(X1,X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~r2_hidden(X2,k9_xtuple_0(k5_relat_1(X1,X3)))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (r2_tarski(X1,k1_relset_1(k4_ordinal1,X2))|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,k3_finseq_1(X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, plain, (k1_relset_1(k4_ordinal1,X1)=k9_xtuple_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
fof(c_0_28, plain, ![X40]:(~v7_ordinal1(X40)|(r1_xxreal_0(np__1,X40)|X40=k5_numbers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])).
fof(c_0_29, plain, ![X29]:(~m1_subset_1(X29,k4_ordinal1)|v7_ordinal1(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_30, plain, ![X34]:(~v1_relat_1(X34)|~v1_funct_1(X34)|~v1_finseq_1(X34)|m1_subset_1(k3_finseq_1(X34),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_finseq_1])])).
fof(c_0_31, plain, ![X43, X44]:(((k3_finseq_1(X43)=np__1|X43!=k9_finseq_1(X44)|(~v1_relat_1(X43)|~v1_funct_1(X43)|~v1_finseq_1(X43)))&(k1_funct_1(X43,np__1)=X44|X43!=k9_finseq_1(X44)|(~v1_relat_1(X43)|~v1_funct_1(X43)|~v1_finseq_1(X43))))&(k3_finseq_1(X43)!=np__1|k1_funct_1(X43,np__1)!=X44|X43=k9_finseq_1(X44)|(~v1_relat_1(X43)|~v1_funct_1(X43)|~v1_finseq_1(X43)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_finseq_1])])])])).
cnf(c_0_32, plain, (k1_funct_1(k5_relat_1(X1,X2),X3)=k1_funct_1(X1,X3)|~r2_tarski(X3,k9_xtuple_0(k5_relat_1(X1,X2)))|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_33, plain, (r2_tarski(X1,k9_xtuple_0(X2))|~r1_xxreal_0(X1,k3_finseq_1(X2))|~r1_xxreal_0(np__1,X1)|~v7_ordinal1(X1)|~v1_finseq_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_34, plain, (r1_xxreal_0(np__1,X1)|X1=k5_numbers|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_35, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_36, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_37, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_38, plain, (m1_subset_1(k3_finseq_1(X1),k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_39, plain, (X1=k9_finseq_1(X2)|k3_finseq_1(X1)!=np__1|k1_funct_1(X1,np__1)!=X2|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_40, plain, (k1_funct_1(k5_relat_1(X1,X2),X3)=k1_funct_1(X1,X3)|~r1_xxreal_0(X3,k3_finseq_1(k5_relat_1(X1,X2)))|~r1_xxreal_0(np__1,X3)|~v7_ordinal1(X3)|~v1_finseq_1(k5_relat_1(X1,X2))|~v1_funct_1(k5_relat_1(X1,X2))|~v1_funct_1(X1)|~v1_relat_1(k5_relat_1(X1,X2))|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_41, plain, (X1=k5_ordinal1|r1_xxreal_0(np__1,X1)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_42, plain, (r1_xxreal_0(np__1,np__1)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r1])).
cnf(c_0_43, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_44, plain, (v7_ordinal1(k3_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_36, c_0_38])).
fof(c_0_45, plain, ![X48, X49]:(~v7_ordinal1(X48)|(~v1_relat_1(X49)|~v1_funct_1(X49)|~v1_finseq_1(X49)|(~r1_xxreal_0(X48,k3_finseq_1(X49))|k3_finseq_1(k16_finseq_1(X48,X49))=X48))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t59_finseq_1])])])).
fof(c_0_46, plain, ![X30, X31]:(~v7_ordinal1(X30)|(~v1_relat_1(X31)|~v1_funct_1(X31)|~v1_finseq_1(X31)|k16_finseq_1(X30,X31)=k5_relat_1(X31,k2_finseq_1(X30)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_finseq_1])])])).
fof(c_0_47, plain, ![X32, X33]:(((v1_relat_1(k16_finseq_1(X32,X33))|(~v7_ordinal1(X32)|~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_finseq_1(X33)))&(v1_funct_1(k16_finseq_1(X32,X33))|(~v7_ordinal1(X32)|~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_finseq_1(X33))))&(v1_finseq_1(k16_finseq_1(X32,X33))|(~v7_ordinal1(X32)|~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_finseq_1(X33)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k16_finseq_1])])])).
cnf(c_0_48, plain, (k9_finseq_1(k1_funct_1(X1,np__1))=X1|k3_finseq_1(X1)!=np__1|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_39])).
cnf(c_0_49, plain, (k1_funct_1(k5_relat_1(X1,X2),np__1)=k1_funct_1(X1,np__1)|k3_finseq_1(k5_relat_1(X1,X2))=k5_ordinal1|~v1_finseq_1(k5_relat_1(X1,X2))|~v1_funct_1(k5_relat_1(X1,X2))|~v1_funct_1(X1)|~v1_relat_1(k5_relat_1(X1,X2))|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(cn,[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_50, plain, (k3_finseq_1(k16_finseq_1(X1,X2))=X1|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~r1_xxreal_0(X1,k3_finseq_1(X2))), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_51, plain, (k16_finseq_1(X1,X2)=k5_relat_1(X2,k2_finseq_1(X1))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_52, plain, (v1_relat_1(k16_finseq_1(X1,X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_53, plain, (v1_funct_1(k16_finseq_1(X1,X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_54, plain, (v1_finseq_1(k16_finseq_1(X1,X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_55, negated_conjecture, ~(![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(k3_finseq_1(X1)!=k5_numbers=>k16_finseq_1(np__1,X1)=k9_finseq_1(k1_funct_1(X1,np__1))))), inference(assume_negation,[status(cth)],[t1_gr_free0])).
cnf(c_0_56, plain, (k9_finseq_1(k1_funct_1(X1,np__1))=k5_relat_1(X1,X2)|k3_finseq_1(k5_relat_1(X1,X2))=k5_ordinal1|k3_finseq_1(k5_relat_1(X1,X2))!=np__1|~v1_finseq_1(k5_relat_1(X1,X2))|~v1_funct_1(k5_relat_1(X1,X2))|~v1_funct_1(X1)|~v1_relat_1(k5_relat_1(X1,X2))|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_57, plain, (k3_finseq_1(k5_relat_1(X1,k2_finseq_1(X2)))=X2|~r1_xxreal_0(X2,k3_finseq_1(X1))|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_58, plain, (v1_relat_1(k5_relat_1(X1,k2_finseq_1(X2)))|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_52, c_0_51])).
cnf(c_0_59, plain, (v1_funct_1(k5_relat_1(X1,k2_finseq_1(X2)))|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_53, c_0_51])).
cnf(c_0_60, plain, (v1_finseq_1(k5_relat_1(X1,k2_finseq_1(X2)))|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_54, c_0_51])).
fof(c_0_61, negated_conjecture, (((v1_relat_1(esk1_0)&v1_funct_1(esk1_0))&v1_finseq_1(esk1_0))&(k3_finseq_1(esk1_0)!=k5_numbers&k16_finseq_1(np__1,esk1_0)!=k9_finseq_1(k1_funct_1(esk1_0,np__1)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])).
cnf(c_0_62, plain, (k9_finseq_1(k1_funct_1(X1,np__1))=k5_relat_1(X1,k2_finseq_1(X2))|X2=k5_ordinal1|X2!=np__1|~r1_xxreal_0(X2,k3_finseq_1(X1))|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58]), c_0_59]), c_0_60])).
cnf(c_0_63, negated_conjecture, (k3_finseq_1(esk1_0)!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_64, negated_conjecture, (k16_finseq_1(np__1,esk1_0)!=k9_finseq_1(k1_funct_1(esk1_0,np__1))), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_65, plain, (k9_finseq_1(k1_funct_1(X1,np__1))=k5_relat_1(X1,k2_finseq_1(np__1))|k3_finseq_1(X1)=k5_ordinal1|np__1=k5_ordinal1|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_41]), c_0_43])]), c_0_44])).
cnf(c_0_66, negated_conjecture, (v1_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_67, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_68, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_69, negated_conjecture, (k3_finseq_1(esk1_0)!=k5_ordinal1), inference(rw,[status(thm)],[c_0_63, c_0_35])).
cnf(c_0_70, negated_conjecture, (np__1=k5_ordinal1|k16_finseq_1(np__1,esk1_0)!=k5_relat_1(esk1_0,k2_finseq_1(np__1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66]), c_0_67]), c_0_68])]), c_0_69])).
cnf(c_0_71, negated_conjecture, (np__1=k5_ordinal1), inference(cn,[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_51]), c_0_43]), c_0_66]), c_0_67]), c_0_68])])).
cnf(c_0_72, plain, (k1_funct_1(k5_relat_1(X1,k2_finseq_1(X2)),X3)=k1_funct_1(X1,X3)|~r1_xxreal_0(X2,k3_finseq_1(X1))|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_57]), c_0_58]), c_0_59]), c_0_60])).
cnf(c_0_73, plain, (k9_finseq_1(k1_funct_1(X1,k5_ordinal1))=X1|k3_finseq_1(X1)!=k5_ordinal1|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_71]), c_0_71])).
cnf(c_0_74, plain, (k1_funct_1(k5_relat_1(X1,k2_finseq_1(X2)),X3)=k1_funct_1(X1,X3)|~r1_xxreal_0(X2,k3_finseq_1(X1))|~r1_xxreal_0(k5_ordinal1,X3)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(rw,[status(thm)],[c_0_72, c_0_71])).
cnf(c_0_75, plain, (r1_xxreal_0(k5_ordinal1,k5_ordinal1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_71]), c_0_71])).
cnf(c_0_76, plain, (v7_ordinal1(k5_ordinal1)), inference(rw,[status(thm)],[c_0_43, c_0_71])).
cnf(c_0_77, plain, (k9_finseq_1(k1_funct_1(X1,k5_ordinal1))=k5_relat_1(X1,k2_finseq_1(X2))|k3_finseq_1(k5_relat_1(X1,k2_finseq_1(X2)))!=k5_ordinal1|~r1_xxreal_0(X2,k3_finseq_1(X1))|~r1_xxreal_0(k5_ordinal1,X2)|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75]), c_0_76])]), c_0_58]), c_0_59]), c_0_60])).
cnf(c_0_78, plain, (k9_finseq_1(k1_funct_1(X1,k5_ordinal1))=k5_relat_1(X1,k2_finseq_1(X2))|X2!=k5_ordinal1|~r1_xxreal_0(X2,k3_finseq_1(X1))|~r1_xxreal_0(k5_ordinal1,X2)|~v7_ordinal1(X2)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_77, c_0_57])).
cnf(c_0_79, plain, (X1=k5_ordinal1|r1_xxreal_0(k5_ordinal1,X1)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_41, c_0_71])).
cnf(c_0_80, negated_conjecture, (k9_finseq_1(k1_funct_1(esk1_0,k5_ordinal1))!=k16_finseq_1(k5_ordinal1,esk1_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_71]), c_0_71])).
cnf(c_0_81, plain, (k9_finseq_1(k1_funct_1(X1,k5_ordinal1))=k5_relat_1(X1,k2_finseq_1(k5_ordinal1))|k3_finseq_1(X1)=k5_ordinal1|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_75]), c_0_76])]), c_0_44])).
cnf(c_0_82, negated_conjecture, (k16_finseq_1(k5_ordinal1,esk1_0)!=k5_relat_1(esk1_0,k2_finseq_1(k5_ordinal1))), inference(sr,[status(thm)],[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_81]), c_0_66]), c_0_67]), c_0_68])]), c_0_69])).
cnf(c_0_83, negated_conjecture, ($false), inference(cn,[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_51]), c_0_76]), c_0_66]), c_0_67]), c_0_68])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 84
# Proof object clause steps            : 53
# Proof object formula steps           : 31
# Proof object conjectures             : 14
# Proof object clause conjectures      : 11
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 16
# Proof object generating inferences   : 23
# Proof object simplifying inferences  : 54
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 28
# Processed clauses                    : 144
# ...of these trivial                  : 0
# ...subsumed                          : 45
# ...remaining for further processing  : 99
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 35
# Generated clauses                    : 156
# ...of the previous two non-trivial   : 144
# Contextual simplify-reflections      : 31
# Paramodulations                      : 144
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 12
# 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  : 64
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 52
# Current number of unprocessed clauses: 20
# ...number of literals in the above   : 226
# Current number of archived formulas  : 0
# Current number of archived clauses   : 36
# Clause-clause subsumption calls (NU) : 4647
# Rec. Clause-clause subsumption calls : 486
# Non-unit clause-clause subsumptions  : 73
# Unit Clause-clause subsumption calls : 46
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 8297

# -------------------------------------------------
# User time                : 0.028 s
# System time              : 0.006 s
# Total time               : 0.034 s
# Maximum resident set size: 3532 pages
