# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t1_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k2_xcmplx_0(X1,k5_numbers)=X1), file('newton06/newton06__t6_newton06', t1_arithm)).
fof(commutativity_k2_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)), file('newton06/newton06__t6_newton06', commutativity_k2_xcmplx_0)).
fof(rd7_newton02, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers), file('newton06/newton06__t6_newton06', rd7_newton02)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('newton06/newton06__t6_newton06', cc3_xreal_0)).
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t6_newton06', cc3_int_1)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton06/newton06__t6_newton06', cc2_int_1)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton06/newton06__t6_newton06', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton06/newton06__t6_newton06', redefinition_k5_numbers)).
fof(rd5_newton02, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k5_int_1(k5_int_1(X1,X2),X2)=k5_int_1(X1,X2)), file('newton06/newton06__t6_newton06', rd5_newton02)).
fof(d4_int_1, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>(r2_int_1(X1,X2,X3)<=>r1_int_1(X3,k6_xcmplx_0(X1,X2)))))), file('newton06/newton06__t6_newton06', d4_int_1)).
fof(t4_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k6_xcmplx_0(X1,k5_numbers)=X1), file('newton06/newton06__t6_newton06', t4_arithm)).
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('newton06/newton06__t6_newton06', commutativity_k3_xcmplx_0)).
fof(t64_nat_d, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>((k5_int_1(X2,X1)=k5_int_1(X3,X1)=>(X1=k5_numbers|r2_int_1(X2,X3,X1)))&(r2_int_1(X2,X3,X1)=>k5_int_1(X2,X1)=k5_int_1(X3,X1)))))), file('newton06/newton06__t6_newton06', t64_nat_d)).
fof(t6_newton06, conjecture, ![X1]:(v1_int_1(X1)=>![X2]:((~(v8_ordinal1(X2))&v1_int_1(X2))=>(r1_int_1(X2,X1)<=>k5_int_1(X1,X2)=k5_numbers))), file('newton06/newton06__t6_newton06', t6_newton06)).
fof(d3_int_1, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(r1_int_1(X1,X2)<=>?[X3]:(v1_int_1(X3)&X2=k3_xcmplx_0(X1,X3))))), file('newton06/newton06__t6_newton06', d3_int_1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('newton06/newton06__t6_newton06', fc9_ordinal1)).
fof(c_0_16, plain, ![X48]:(~v1_xcmplx_0(X48)|k2_xcmplx_0(X48,k5_numbers)=X48), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_arithm])])).
fof(c_0_17, plain, ![X33, X34]:(~v1_xcmplx_0(X33)|~v1_xcmplx_0(X34)|k2_xcmplx_0(X33,X34)=k2_xcmplx_0(X34,X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k2_xcmplx_0])])).
fof(c_0_18, plain, ![X46, X47]:(~v1_int_1(X46)|~v1_int_1(X47)|k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X46,X47)),X47)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd7_newton02])])).
cnf(c_0_19, plain, (k2_xcmplx_0(X1,k5_numbers)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_20, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_21, plain, ![X32]:(~v1_xreal_0(X32)|v1_xcmplx_0(X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_22, plain, ![X31]:(~v1_int_1(X31)|v1_xreal_0(X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
fof(c_0_23, plain, ![X30]:(~v7_ordinal1(X30)|v1_int_1(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_24, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_25, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_26, plain, (k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, plain, (k2_xcmplx_0(k5_numbers,X1)=X1|~v1_xcmplx_0(k5_numbers)|~v1_xcmplx_0(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_28, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_32, plain, (k5_int_1(k3_xcmplx_0(X1,X2),X2)=k5_numbers|~v1_xcmplx_0(k3_xcmplx_0(X1,X2))|~v1_xcmplx_0(k5_numbers)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_33, plain, (v1_xcmplx_0(X1)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_34, plain, (v1_int_1(k5_numbers)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
fof(c_0_35, plain, ![X44, X45]:(~v1_int_1(X44)|~v1_int_1(X45)|k5_int_1(k5_int_1(X44,X45),X45)=k5_int_1(X44,X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd5_newton02])])).
cnf(c_0_36, plain, (k5_int_1(k3_xcmplx_0(X1,X2),X2)=k5_numbers|~v1_xcmplx_0(k3_xcmplx_0(X1,X2))|~v1_int_1(X2)|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])])).
fof(c_0_37, plain, ![X41, X42, X43]:((~r2_int_1(X41,X42,X43)|r1_int_1(X43,k6_xcmplx_0(X41,X42))|~v1_int_1(X43)|~v1_int_1(X42)|~v1_int_1(X41))&(~r1_int_1(X43,k6_xcmplx_0(X41,X42))|r2_int_1(X41,X42,X43)|~v1_int_1(X43)|~v1_int_1(X42)|~v1_int_1(X41))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_int_1])])])])).
fof(c_0_38, plain, ![X49]:(~v1_xcmplx_0(X49)|k6_xcmplx_0(X49,k5_numbers)=X49), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_arithm])])).
cnf(c_0_39, plain, (k5_int_1(k5_int_1(X1,X2),X2)=k5_int_1(X1,X2)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_40, plain, (k5_int_1(k3_xcmplx_0(X1,X2),X2)=k5_numbers|~v1_int_1(k3_xcmplx_0(X1,X2))|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_36, c_0_33])).
fof(c_0_41, plain, ![X35, X36]:(~v1_xcmplx_0(X35)|~v1_xcmplx_0(X36)|k3_xcmplx_0(X35,X36)=k3_xcmplx_0(X36,X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
fof(c_0_42, plain, ![X50, X51, X52]:((k5_int_1(X51,X50)!=k5_int_1(X52,X50)|(X50=k5_numbers|r2_int_1(X51,X52,X50))|~v1_int_1(X52)|~v1_int_1(X51)|~v1_int_1(X50))&(~r2_int_1(X51,X52,X50)|k5_int_1(X51,X50)=k5_int_1(X52,X50)|~v1_int_1(X52)|~v1_int_1(X51)|~v1_int_1(X50))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_nat_d])])])])).
cnf(c_0_43, plain, (r2_int_1(X2,X3,X1)|~r1_int_1(X1,k6_xcmplx_0(X2,X3))|~v1_int_1(X1)|~v1_int_1(X3)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_44, plain, (k6_xcmplx_0(X1,k5_numbers)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_45, negated_conjecture, ~(![X1]:(v1_int_1(X1)=>![X2]:((~v8_ordinal1(X2)&v1_int_1(X2))=>(r1_int_1(X2,X1)<=>k5_int_1(X1,X2)=k5_numbers)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_newton06])])).
cnf(c_0_46, plain, (k5_int_1(k5_numbers,X1)=k5_numbers|~v1_int_1(k3_xcmplx_0(X2,X1))|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_47, 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_41])).
fof(c_0_48, plain, ![X37, X38, X40]:(((v1_int_1(esk3_2(X37,X38))|~r1_int_1(X37,X38)|~v1_int_1(X38)|~v1_int_1(X37))&(X38=k3_xcmplx_0(X37,esk3_2(X37,X38))|~r1_int_1(X37,X38)|~v1_int_1(X38)|~v1_int_1(X37)))&(~v1_int_1(X40)|X38!=k3_xcmplx_0(X37,X40)|r1_int_1(X37,X38)|~v1_int_1(X38)|~v1_int_1(X37))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_int_1])])])])])).
cnf(c_0_49, plain, (k5_int_1(X1,X3)=k5_int_1(X2,X3)|~r2_int_1(X1,X2,X3)|~v1_int_1(X2)|~v1_int_1(X1)|~v1_int_1(X3)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_50, plain, (r2_int_1(X1,k5_numbers,X2)|~r1_int_1(X2,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_34])]), c_0_33])).
fof(c_0_51, negated_conjecture, (v1_int_1(esk1_0)&((~v8_ordinal1(esk2_0)&v1_int_1(esk2_0))&((~r1_int_1(esk2_0,esk1_0)|k5_int_1(esk1_0,esk2_0)!=k5_numbers)&(r1_int_1(esk2_0,esk1_0)|k5_int_1(esk1_0,esk2_0)=k5_numbers)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
cnf(c_0_52, plain, (k5_int_1(k5_numbers,X1)=k5_numbers|~v1_int_1(k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_33]), c_0_33])).
cnf(c_0_53, plain, (X1=k3_xcmplx_0(X2,esk3_2(X2,X1))|~r1_int_1(X2,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_54, plain, (v1_int_1(esk3_2(X1,X2))|~r1_int_1(X1,X2)|~v1_int_1(X2)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_55, plain, (k5_int_1(X1,X2)=k5_int_1(k5_numbers,X2)|~r1_int_1(X2,X1)|~v1_int_1(X2)|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_34])])).
cnf(c_0_56, negated_conjecture, (r1_int_1(esk2_0,esk1_0)|k5_int_1(esk1_0,esk2_0)=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_57, negated_conjecture, (v1_int_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_58, negated_conjecture, (v1_int_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_59, plain, (k5_int_1(k5_numbers,X1)=k5_numbers|~r1_int_1(X1,X2)|~v1_int_1(X2)|~v1_int_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])).
cnf(c_0_60, negated_conjecture, (k5_int_1(k5_numbers,esk2_0)=k5_int_1(esk1_0,esk2_0)|k5_int_1(esk1_0,esk2_0)=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57]), c_0_58])])).
cnf(c_0_61, negated_conjecture, (k5_int_1(esk1_0,esk2_0)=k5_numbers|k5_int_1(k5_numbers,esk2_0)=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_56]), c_0_58]), c_0_57])])).
cnf(c_0_62, plain, (X2=k5_numbers|r2_int_1(X1,X3,X2)|k5_int_1(X1,X2)!=k5_int_1(X3,X2)|~v1_int_1(X3)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_63, negated_conjecture, (k5_int_1(esk1_0,esk2_0)=k5_numbers), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_64, plain, (X1=k5_numbers|r2_int_1(X2,k5_numbers,X1)|k5_int_1(X2,X1)!=k5_int_1(k5_numbers,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_62, c_0_34])).
cnf(c_0_65, negated_conjecture, (k5_int_1(k5_numbers,esk2_0)=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_63]), c_0_57]), c_0_58])])).
cnf(c_0_66, plain, (r1_int_1(X3,k6_xcmplx_0(X1,X2))|~r2_int_1(X1,X2,X3)|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_67, negated_conjecture, (k5_numbers=esk2_0|r2_int_1(X1,k5_numbers,esk2_0)|k5_int_1(X1,esk2_0)!=k5_numbers|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_57])])).
cnf(c_0_68, negated_conjecture, (~r1_int_1(esk2_0,esk1_0)|k5_int_1(esk1_0,esk2_0)!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_69, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_70, plain, (r1_int_1(X1,X2)|~r2_int_1(X2,k5_numbers,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_44]), c_0_34])]), c_0_33])).
cnf(c_0_71, negated_conjecture, (k5_numbers=esk2_0|r2_int_1(esk1_0,k5_numbers,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_63]), c_0_58])])).
cnf(c_0_72, negated_conjecture, (~r1_int_1(esk2_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_63])])).
cnf(c_0_73, plain, (v8_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_69, c_0_25])).
cnf(c_0_74, negated_conjecture, (k5_numbers=esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_57]), c_0_58])]), c_0_72])).
cnf(c_0_75, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_76, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74]), c_0_75]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 77
# Proof object clause steps            : 47
# Proof object formula steps           : 30
# Proof object conjectures             : 16
# Proof object clause conjectures      : 13
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 23
# Proof object initial formulas used   : 16
# Proof object generating inferences   : 20
# Proof object simplifying inferences  : 36
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 16
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 24
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 24
# Processed clauses                    : 151
# ...of these trivial                  : 0
# ...subsumed                          : 43
# ...remaining for further processing  : 108
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 59
# Generated clauses                    : 190
# ...of the previous two non-trivial   : 215
# Contextual simplify-reflections      : 16
# Paramodulations                      : 185
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 20
#    Positive orientable unit clauses  : 3
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 15
# Current number of unprocessed clauses: 73
# ...number of literals in the above   : 446
# Current number of archived formulas  : 0
# Current number of archived clauses   : 87
# Clause-clause subsumption calls (NU) : 1330
# Rec. Clause-clause subsumption calls : 438
# Non-unit clause-clause subsumptions  : 63
# 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          : 5738

# -------------------------------------------------
# User time                : 0.028 s
# System time              : 0.004 s
# Total time               : 0.032 s
# Maximum resident set size: 3560 pages
