# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic U_____206c_02_B10_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc7_finseq_1, axiom, ![X1]:v1_finseq_1(k5_finseq_1(X1)), file('gr_free0/gr_free0__t3_gr_free0', fc7_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('gr_free0/gr_free0__t3_gr_free0', redefinition_k9_finseq_1)).
fof(fc6_finseq_1, axiom, ![X1]:(v1_relat_1(k5_finseq_1(X1))&v1_funct_1(k5_finseq_1(X1))), file('gr_free0/gr_free0__t3_gr_free0', fc6_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__t3_gr_free0', t40_finseq_1)).
fof(reflexivity_r1_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>r1_xxreal_0(X1,X1)), file('gr_free0/gr_free0__t3_gr_free0', reflexivity_r1_xxreal_0)).
fof(rc3_xxreal_0, axiom, ?[X1]:(v1_xxreal_0(X1)&v2_xxreal_0(X1)), file('gr_free0/gr_free0__t3_gr_free0', rc3_xxreal_0)).
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__t3_gr_free0', t25_finseq_3)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('gr_free0/gr_free0__t3_gr_free0', cc2_xxreal_0)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('gr_free0/gr_free0__t3_gr_free0', cc8_ordinal1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('gr_free0/gr_free0__t3_gr_free0', spc1_numerals)).
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__t3_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__t3_gr_free0', cc5_finseq_1)).
fof(t3_gr_free0, conjecture, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:(r2_hidden(X2,k9_xtuple_0(X1))=>k1_binop_1(k2_funct_5(k9_finseq_1(X1)),np__1,X2)=k1_funct_1(X1,X2))), file('gr_free0/gr_free0__t3_gr_free0', t3_gr_free0)).
fof(t38_funct_5, axiom, ![X1, X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>![X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>(((r2_hidden(X1,k9_xtuple_0(X3))&X4=k1_funct_1(X3,X1))&r2_hidden(X2,k9_xtuple_0(X4)))=>((r2_hidden(k4_tarski(X1,X2),k9_xtuple_0(k2_funct_5(X3)))&k1_binop_1(k2_funct_5(X3),X1,X2)=k1_funct_1(X4,X2))&r2_tarski(k1_funct_1(X4,X2),k10_xtuple_0(k2_funct_5(X3))))))), file('gr_free0/gr_free0__t3_gr_free0', t38_funct_5)).
fof(rd1_finseq_1, axiom, ![X1]:k1_funct_1(k9_finseq_1(X1),np__1)=X1, file('gr_free0/gr_free0__t3_gr_free0', rd1_finseq_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t3_gr_free0', redefinition_r2_tarski)).
fof(c_0_16, plain, ![X35]:v1_finseq_1(k5_finseq_1(X35)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
fof(c_0_17, plain, ![X40]:k9_finseq_1(X40)=k5_finseq_1(X40), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_18, plain, ![X34]:(v1_relat_1(k5_finseq_1(X34))&v1_funct_1(k5_finseq_1(X34))), inference(variable_rename,[status(thm)],[fc6_finseq_1])).
fof(c_0_19, plain, ![X51, X52]:(((k3_finseq_1(X51)=np__1|X51!=k9_finseq_1(X52)|(~v1_relat_1(X51)|~v1_funct_1(X51)|~v1_finseq_1(X51)))&(k1_funct_1(X51,np__1)=X52|X51!=k9_finseq_1(X52)|(~v1_relat_1(X51)|~v1_funct_1(X51)|~v1_finseq_1(X51))))&(k3_finseq_1(X51)!=np__1|k1_funct_1(X51,np__1)!=X52|X51=k9_finseq_1(X52)|(~v1_relat_1(X51)|~v1_funct_1(X51)|~v1_finseq_1(X51)))), 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_20, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, plain, (v1_funct_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_23, plain, (v1_relat_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_24, plain, ![X43, X44]:(~v1_xxreal_0(X43)|~v1_xxreal_0(X44)|r1_xxreal_0(X43,X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r1_xxreal_0])])).
fof(c_0_25, plain, (v1_xxreal_0(esk3_0)&v2_xxreal_0(esk3_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_xxreal_0])])).
fof(c_0_26, plain, ![X45, X46]:(((r1_xxreal_0(np__1,X46)|~r2_tarski(X46,k1_relset_1(k4_ordinal1,X45))|~v7_ordinal1(X46)|(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_finseq_1(X45)))&(r1_xxreal_0(X46,k3_finseq_1(X45))|~r2_tarski(X46,k1_relset_1(k4_ordinal1,X45))|~v7_ordinal1(X46)|(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_finseq_1(X45))))&(~r1_xxreal_0(np__1,X46)|~r1_xxreal_0(X46,k3_finseq_1(X45))|r2_tarski(X46,k1_relset_1(k4_ordinal1,X45))|~v7_ordinal1(X46)|(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_finseq_1(X45)))), 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_27, plain, (k3_finseq_1(X1)=np__1|X1!=k9_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_28, plain, (v1_finseq_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_29, plain, (v1_funct_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_22, c_0_21])).
cnf(c_0_30, plain, (v1_relat_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_23, c_0_21])).
cnf(c_0_31, plain, (r1_xxreal_0(X1,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, plain, (v1_xxreal_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_33, plain, ![X31]:(~v7_ordinal1(X31)|v1_xxreal_0(X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_34, plain, ![X33]:(~m1_subset_1(X33,k4_ordinal1)|v7_ordinal1(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_35, 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_26])).
cnf(c_0_36, plain, (k3_finseq_1(k9_finseq_1(X1))=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_27]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_37, plain, (r1_xxreal_0(X1,X1)|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_38, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_39, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_40, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_41, plain, ![X38, X39]:(~v1_relat_1(X39)|~v4_relat_1(X39,X38)|k1_relset_1(X38,X39)=k9_xtuple_0(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_42, plain, ![X32]:((((v1_relat_1(X32)|(~v1_relat_1(X32)|~v1_funct_1(X32)|~v1_finseq_1(X32)))&(v4_relat_1(X32,k4_ordinal1)|(~v1_relat_1(X32)|~v1_funct_1(X32)|~v1_finseq_1(X32))))&(v1_funct_1(X32)|(~v1_relat_1(X32)|~v1_funct_1(X32)|~v1_finseq_1(X32))))&(v1_finseq_1(X32)|(~v1_relat_1(X32)|~v1_funct_1(X32)|~v1_finseq_1(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_finseq_1])])])).
cnf(c_0_43, plain, (r2_tarski(X1,k1_relset_1(k4_ordinal1,k9_finseq_1(X2)))|~r1_xxreal_0(X1,np__1)|~r1_xxreal_0(np__1,X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_44, plain, (r1_xxreal_0(X1,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_45, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_46, 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_41])).
cnf(c_0_47, 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_42])).
fof(c_0_48, negated_conjecture, ~(![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:(r2_hidden(X2,k9_xtuple_0(X1))=>k1_binop_1(k2_funct_5(k9_finseq_1(X1)),np__1,X2)=k1_funct_1(X1,X2)))), inference(assume_negation,[status(cth)],[t3_gr_free0])).
fof(c_0_49, plain, ![X47, X48, X49, X50]:(((r2_hidden(k4_tarski(X47,X48),k9_xtuple_0(k2_funct_5(X49)))|(~r2_hidden(X47,k9_xtuple_0(X49))|X50!=k1_funct_1(X49,X47)|~r2_hidden(X48,k9_xtuple_0(X50)))|(~v1_relat_1(X50)|~v1_funct_1(X50))|(~v1_relat_1(X49)|~v1_funct_1(X49)))&(k1_binop_1(k2_funct_5(X49),X47,X48)=k1_funct_1(X50,X48)|(~r2_hidden(X47,k9_xtuple_0(X49))|X50!=k1_funct_1(X49,X47)|~r2_hidden(X48,k9_xtuple_0(X50)))|(~v1_relat_1(X50)|~v1_funct_1(X50))|(~v1_relat_1(X49)|~v1_funct_1(X49))))&(r2_tarski(k1_funct_1(X50,X48),k10_xtuple_0(k2_funct_5(X49)))|(~r2_hidden(X47,k9_xtuple_0(X49))|X50!=k1_funct_1(X49,X47)|~r2_hidden(X48,k9_xtuple_0(X50)))|(~v1_relat_1(X50)|~v1_funct_1(X50))|(~v1_relat_1(X49)|~v1_funct_1(X49)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_funct_5])])])])).
cnf(c_0_50, plain, (r2_tarski(np__1,k1_relset_1(k4_ordinal1,k9_finseq_1(X1)))|~r1_xxreal_0(np__1,np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])])).
cnf(c_0_51, 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_46, c_0_47])).
fof(c_0_52, negated_conjecture, ((v1_relat_1(esk1_0)&v1_funct_1(esk1_0))&(r2_hidden(esk2_0,k9_xtuple_0(esk1_0))&k1_binop_1(k2_funct_5(k9_finseq_1(esk1_0)),np__1,esk2_0)!=k1_funct_1(esk1_0,esk2_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])).
cnf(c_0_53, plain, (k1_binop_1(k2_funct_5(X1),X2,X3)=k1_funct_1(X4,X3)|~r2_hidden(X2,k9_xtuple_0(X1))|X4!=k1_funct_1(X1,X2)|~r2_hidden(X3,k9_xtuple_0(X4))|~v1_relat_1(X4)|~v1_funct_1(X4)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_54, plain, ![X37]:k1_funct_1(k9_finseq_1(X37),np__1)=X37, inference(variable_rename,[status(thm)],[rd1_finseq_1])).
fof(c_0_55, plain, ![X41, X42]:((~r2_tarski(X41,X42)|r2_hidden(X41,X42))&(~r2_hidden(X41,X42)|r2_tarski(X41,X42))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_56, plain, (r2_tarski(np__1,k9_xtuple_0(k9_finseq_1(X1)))|~r1_xxreal_0(np__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_50, c_0_51]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_57, negated_conjecture, (k1_binop_1(k2_funct_5(k9_finseq_1(esk1_0)),np__1,esk2_0)!=k1_funct_1(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_58, plain, (k1_binop_1(k2_funct_5(X1),X2,X3)=k1_funct_1(k1_funct_1(X1,X2),X3)|~r2_hidden(X3,k9_xtuple_0(k1_funct_1(X1,X2)))|~r2_hidden(X2,k9_xtuple_0(X1))|~v1_funct_1(k1_funct_1(X1,X2))|~v1_funct_1(X1)|~v1_relat_1(k1_funct_1(X1,X2))|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_53])).
cnf(c_0_59, plain, (k1_funct_1(k9_finseq_1(X1),np__1)=X1), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_60, negated_conjecture, (r2_hidden(esk2_0,k9_xtuple_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_61, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_62, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_63, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_64, plain, (r2_tarski(np__1,k9_xtuple_0(k9_finseq_1(X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_44]), c_0_45])])).
cnf(c_0_65, negated_conjecture, (~r2_hidden(np__1,k9_xtuple_0(k9_finseq_1(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59]), c_0_59]), c_0_60]), c_0_59]), c_0_61]), c_0_29]), c_0_59]), c_0_62]), c_0_30])])).
cnf(c_0_66, plain, (r2_hidden(np__1,k9_xtuple_0(k9_finseq_1(X1)))), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_67, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 68
# Proof object clause steps            : 36
# Proof object formula steps           : 32
# Proof object conjectures             : 9
# Proof object clause conjectures      : 6
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 16
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 33
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 16
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 28
# Processed clauses                    : 71
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 71
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 2
# Generated clauses                    : 31
# ...of the previous two non-trivial   : 26
# Contextual simplify-reflections      : 0
# Paramodulations                      : 25
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 6
# 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  : 35
#    Positive orientable unit clauses  : 16
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 18
# Current number of unprocessed clauses: 9
# ...number of literals in the above   : 49
# Current number of archived formulas  : 0
# Current number of archived clauses   : 31
# Clause-clause subsumption calls (NU) : 602
# Rec. Clause-clause subsumption calls : 96
# Non-unit clause-clause subsumptions  : 1
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3187

# -------------------------------------------------
# User time                : 0.018 s
# System time              : 0.004 s
# Total time               : 0.021 s
# Maximum resident set size: 3516 pages
