# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t49_finseq_2, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(m1_subset_1(X2,k1_finseq_1(X1))=>k1_funct_1(k1_finseq_2(X1),X2)=X2)), file('number15/number15__t48_number15', t49_finseq_2)).
fof(d1_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>k1_finseq_1(X1)=a_1_0_finseq_1(X1)), file('number15/number15__t48_number15', d1_finseq_1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('number15/number15__t48_number15', t1_subset)).
fof(t6_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:(v1_xcmplx_0(X2)=>![X3]:k1_funct_1(k24_valued_1(X1,X2),X3)=k3_xcmplx_0(X2,k1_funct_1(X1,X3)))), file('number15/number15__t48_number15', t6_valued_1)).
fof(d8_number15, axiom, ![X1]:(v7_ordinal1(X1)=>k7_number15(X1)=k24_valued_1(k1_finseq_2(X1),k6_number15(X1))), file('number15/number15__t48_number15', d8_number15)).
fof(fc5_newton, axiom, ![X1]:(v7_ordinal1(X1)=>(((v1_relat_1(k1_finseq_2(X1))&v1_funct_1(k1_finseq_2(X1)))&v1_finseq_1(k1_finseq_2(X1)))&v6_valued_0(k1_finseq_2(X1)))), file('number15/number15__t48_number15', fc5_newton)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('number15/number15__t48_number15', redefinition_r2_tarski)).
fof(t48_number15, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>((r1_xxreal_0(np__1,X1)&r1_xxreal_0(X1,X2))=>k1_funct_1(k7_number15(X2),X1)=k3_xcmplx_0(X1,k6_number15(X2))))), file('number15/number15__t48_number15', t48_number15)).
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__t48_number15', commutativity_k3_xcmplx_0)).
fof(cc6_valued_0, axiom, ![X1]:((v1_relat_1(X1)&v3_valued_0(X1))=>(v1_relat_1(X1)&v1_valued_0(X1))), file('number15/number15__t48_number15', cc6_valued_0)).
fof(cc3_valued_0, axiom, ![X1]:((v1_relat_1(X1)&v5_valued_0(X1))=>(v1_relat_1(X1)&v3_valued_0(X1))), file('number15/number15__t48_number15', cc3_valued_0)).
fof(cc1_valued_0, axiom, ![X1]:((v1_relat_1(X1)&v6_valued_0(X1))=>(v1_relat_1(X1)&v5_valued_0(X1))), file('number15/number15__t48_number15', cc1_valued_0)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('number15/number15__t48_number15', cc1_xcmplx_0)).
fof(fraenkel_a_1_0_finseq_1, axiom, ![X1, X2]:(v7_ordinal1(X2)=>(r2_hidden(X1,a_1_0_finseq_1(X2))<=>?[X3]:(((v7_ordinal1(X3)&X1=X3)&r1_xxreal_0(np__1,X3))&r1_xxreal_0(X3,X2)))), file('number15/number15__t48_number15', fraenkel_a_1_0_finseq_1)).
fof(fc41_number15, axiom, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(k6_number15(X1))&v2_xxreal_0(k6_number15(X1)))), file('number15/number15__t48_number15', fc41_number15)).
fof(c_0_15, plain, ![X48, X49]:(~v7_ordinal1(X48)|(~m1_subset_1(X49,k1_finseq_1(X48))|k1_funct_1(k1_finseq_2(X48),X49)=X49)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_finseq_2])])])).
fof(c_0_16, plain, ![X36]:(~v7_ordinal1(X36)|k1_finseq_1(X36)=a_1_0_finseq_1(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_finseq_1])])).
cnf(c_0_17, plain, (k1_funct_1(k1_finseq_2(X1),X2)=X2|~v7_ordinal1(X1)|~m1_subset_1(X2,k1_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_18, plain, (k1_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_19, plain, ![X46, X47]:(~r2_tarski(X46,X47)|m1_subset_1(X46,X47)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_20, plain, ![X50, X51, X52]:(~v1_relat_1(X50)|~v1_funct_1(X50)|~v1_valued_0(X50)|(~v1_xcmplx_0(X51)|k1_funct_1(k24_valued_1(X50,X51),X52)=k3_xcmplx_0(X51,k1_funct_1(X50,X52)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_valued_1])])])).
fof(c_0_21, plain, ![X37]:(~v7_ordinal1(X37)|k7_number15(X37)=k24_valued_1(k1_finseq_2(X37),k6_number15(X37))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_number15])])).
fof(c_0_22, plain, ![X39]:((((v1_relat_1(k1_finseq_2(X39))|~v7_ordinal1(X39))&(v1_funct_1(k1_finseq_2(X39))|~v7_ordinal1(X39)))&(v1_finseq_1(k1_finseq_2(X39))|~v7_ordinal1(X39)))&(v6_valued_0(k1_finseq_2(X39))|~v7_ordinal1(X39))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_newton])])])).
cnf(c_0_23, plain, (k1_funct_1(k1_finseq_2(X1),X2)=X2|~m1_subset_1(X2,a_1_0_finseq_1(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_24, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_25, plain, ![X44, X45]:((~r2_tarski(X44,X45)|r2_hidden(X44,X45))&(~r2_hidden(X44,X45)|r2_tarski(X44,X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_26, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>((r1_xxreal_0(np__1,X1)&r1_xxreal_0(X1,X2))=>k1_funct_1(k7_number15(X2),X1)=k3_xcmplx_0(X1,k6_number15(X2)))))), inference(assume_negation,[status(cth)],[t48_number15])).
cnf(c_0_27, plain, (k1_funct_1(k24_valued_1(X1,X2),X3)=k3_xcmplx_0(X2,k1_funct_1(X1,X3))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (k7_number15(X1)=k24_valued_1(k1_finseq_2(X1),k6_number15(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29, plain, (v1_relat_1(k1_finseq_2(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, plain, (v1_funct_1(k1_finseq_2(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_31, plain, (k1_funct_1(k1_finseq_2(X1),X2)=X2|~r2_tarski(X2,a_1_0_finseq_1(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_32, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_33, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&((r1_xxreal_0(np__1,esk1_0)&r1_xxreal_0(esk1_0,esk2_0))&k1_funct_1(k7_number15(esk2_0),esk1_0)!=k3_xcmplx_0(esk1_0,k6_number15(esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
cnf(c_0_34, plain, (k3_xcmplx_0(k6_number15(X1),k1_funct_1(k1_finseq_2(X1),X2))=k1_funct_1(k7_number15(X1),X2)|~v1_valued_0(k1_finseq_2(X1))|~v1_xcmplx_0(k6_number15(X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29]), c_0_30])).
cnf(c_0_35, plain, (k1_funct_1(k1_finseq_2(X1),X2)=X2|~r2_hidden(X2,a_1_0_finseq_1(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_36, negated_conjecture, (k1_funct_1(k7_number15(esk2_0),esk1_0)!=k3_xcmplx_0(esk1_0,k6_number15(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_37, plain, (k1_funct_1(k7_number15(X1),X2)=k3_xcmplx_0(k6_number15(X1),X2)|~r2_hidden(X2,a_1_0_finseq_1(X1))|~v1_valued_0(k1_finseq_2(X1))|~v1_xcmplx_0(k6_number15(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_38, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_39, plain, ![X34, X35]:(~v1_xcmplx_0(X34)|~v1_xcmplx_0(X35)|k3_xcmplx_0(X34,X35)=k3_xcmplx_0(X35,X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
cnf(c_0_40, negated_conjecture, (k3_xcmplx_0(k6_number15(esk2_0),esk1_0)!=k3_xcmplx_0(esk1_0,k6_number15(esk2_0))|~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v1_valued_0(k1_finseq_2(esk2_0))|~v1_xcmplx_0(k6_number15(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])).
cnf(c_0_41, 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_39])).
fof(c_0_42, plain, ![X33]:((v1_relat_1(X33)|(~v1_relat_1(X33)|~v3_valued_0(X33)))&(v1_valued_0(X33)|(~v1_relat_1(X33)|~v3_valued_0(X33)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_valued_0])])])).
cnf(c_0_43, negated_conjecture, (~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v1_valued_0(k1_finseq_2(esk2_0))|~v1_xcmplx_0(k6_number15(esk2_0))|~v1_xcmplx_0(esk1_0)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_44, plain, (v1_valued_0(X1)|~v1_relat_1(X1)|~v3_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_45, plain, ![X32]:((v1_relat_1(X32)|(~v1_relat_1(X32)|~v5_valued_0(X32)))&(v3_valued_0(X32)|(~v1_relat_1(X32)|~v5_valued_0(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_valued_0])])])).
cnf(c_0_46, negated_conjecture, (~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v3_valued_0(k1_finseq_2(esk2_0))|~v1_xcmplx_0(k6_number15(esk2_0))|~v1_xcmplx_0(esk1_0)|~v1_relat_1(k1_finseq_2(esk2_0))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_47, plain, (v3_valued_0(X1)|~v1_relat_1(X1)|~v5_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
fof(c_0_48, plain, ![X30]:((v1_relat_1(X30)|(~v1_relat_1(X30)|~v6_valued_0(X30)))&(v5_valued_0(X30)|(~v1_relat_1(X30)|~v6_valued_0(X30)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_valued_0])])])).
cnf(c_0_49, negated_conjecture, (~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v1_xcmplx_0(k6_number15(esk2_0))|~v1_xcmplx_0(esk1_0)|~v5_valued_0(k1_finseq_2(esk2_0))|~v1_relat_1(k1_finseq_2(esk2_0))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_50, plain, (v5_valued_0(X1)|~v1_relat_1(X1)|~v6_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_51, negated_conjecture, (~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v1_xcmplx_0(k6_number15(esk2_0))|~v1_xcmplx_0(esk1_0)|~v6_valued_0(k1_finseq_2(esk2_0))|~v1_relat_1(k1_finseq_2(esk2_0))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_52, plain, (v6_valued_0(k1_finseq_2(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_53, plain, ![X31]:(~v7_ordinal1(X31)|v1_xcmplx_0(X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
cnf(c_0_54, negated_conjecture, (~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v1_xcmplx_0(k6_number15(esk2_0))|~v1_xcmplx_0(esk1_0)|~v1_relat_1(k1_finseq_2(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_38])])).
cnf(c_0_55, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
fof(c_0_56, plain, ![X40, X41, X43]:(((((v7_ordinal1(esk3_2(X40,X41))|~r2_hidden(X40,a_1_0_finseq_1(X41))|~v7_ordinal1(X41))&(X40=esk3_2(X40,X41)|~r2_hidden(X40,a_1_0_finseq_1(X41))|~v7_ordinal1(X41)))&(r1_xxreal_0(np__1,esk3_2(X40,X41))|~r2_hidden(X40,a_1_0_finseq_1(X41))|~v7_ordinal1(X41)))&(r1_xxreal_0(esk3_2(X40,X41),X41)|~r2_hidden(X40,a_1_0_finseq_1(X41))|~v7_ordinal1(X41)))&(~v7_ordinal1(X43)|X40!=X43|~r1_xxreal_0(np__1,X43)|~r1_xxreal_0(X43,X41)|r2_hidden(X40,a_1_0_finseq_1(X41))|~v7_ordinal1(X41))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fraenkel_a_1_0_finseq_1])])])])])).
cnf(c_0_57, negated_conjecture, (~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v1_xcmplx_0(esk1_0)|~v1_relat_1(k1_finseq_2(esk2_0))|~v7_ordinal1(k6_number15(esk2_0))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_58, plain, (r2_hidden(X2,a_1_0_finseq_1(X3))|~v7_ordinal1(X1)|X2!=X1|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X3)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_59, negated_conjecture, (~r2_hidden(esk1_0,a_1_0_finseq_1(esk2_0))|~v1_xcmplx_0(esk1_0)|~v7_ordinal1(k6_number15(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_29]), c_0_38])])).
cnf(c_0_60, plain, (r2_hidden(X1,a_1_0_finseq_1(X2))|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(er,[status(thm)],[c_0_58])).
cnf(c_0_61, negated_conjecture, (r1_xxreal_0(np__1,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_62, negated_conjecture, (r1_xxreal_0(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_63, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_64, plain, ![X38]:((v7_ordinal1(k6_number15(X38))|~v7_ordinal1(X38))&(v2_xxreal_0(k6_number15(X38))|~v7_ordinal1(X38))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc41_number15])])])).
cnf(c_0_65, negated_conjecture, (~v1_xcmplx_0(esk1_0)|~v7_ordinal1(k6_number15(esk2_0))), 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_59, c_0_60]), c_0_61]), c_0_62]), c_0_38]), c_0_63])])).
cnf(c_0_66, plain, (v7_ordinal1(k6_number15(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_67, negated_conjecture, (~v1_xcmplx_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_38])])).
cnf(c_0_68, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_55]), c_0_63])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 69
# Proof object clause steps            : 38
# Proof object formula steps           : 31
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 21
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 16
# Proof object simplifying inferences  : 18
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 31
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 28
# Processed clauses                    : 80
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 77
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 5
# Backward-rewritten                   : 0
# Generated clauses                    : 29
# ...of the previous two non-trivial   : 24
# Contextual simplify-reflections      : 2
# Paramodulations                      : 28
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 43
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 37
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 33
# Clause-clause subsumption calls (NU) : 588
# Rec. Clause-clause subsumption calls : 283
# Non-unit clause-clause subsumptions  : 10
# Unit Clause-clause subsumption calls : 4
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2876

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.000 s
# Total time               : 0.022 s
# Maximum resident set size: 2876 pages
