# 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       : 0.015 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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('newton07/newton07__t45_newton07', commutativity_k3_xcmplx_0)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('newton07/newton07__t45_newton07', cc1_xcmplx_0)).
fof(t45_newton07, conjecture, ![X1]:(v7_ordinal1(X1)=>k3_newton05(k7_newton(k1_nat_1(X1,np__1)))=k3_xcmplx_0(k3_newton05(k1_nat_1(X1,np__1)),k3_newton05(k7_newton(X1)))), file('newton07/newton07__t45_newton07', t45_newton07)).
fof(t15_newton, axiom, ![X1]:(v7_ordinal1(X1)=>k2_newton(k1_nat_1(X1,np__1))=k3_xcmplx_0(k2_newton(X1),k1_nat_1(X1,np__1))), file('newton07/newton07__t45_newton07', t15_newton)).
fof(redefinition_k7_newton, axiom, ![X1]:(v7_ordinal1(X1)=>k7_newton(X1)=k2_newton(X1)), file('newton07/newton07__t45_newton07', redefinition_k7_newton)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t45_newton07', cc8_ordinal1)).
fof(dt_k7_newton, axiom, ![X1]:(v7_ordinal1(X1)=>m1_subset_1(k7_newton(X1),k4_ordinal1)), file('newton07/newton07__t45_newton07', dt_k7_newton)).
fof(t25_newton05, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>k3_newton05(k3_xcmplx_0(X1,X2))=k3_xcmplx_0(k3_newton05(X1),k3_newton05(X2)))), file('newton07/newton07__t45_newton07', t25_newton05)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton07/newton07__t45_newton07', cc2_int_1)).
fof(dt_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)), file('newton07/newton07__t45_newton07', dt_k1_nat_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t45_newton07', spc1_numerals)).
fof(c_0_11, plain, ![X20, X21]:(~v1_xcmplx_0(X20)|~v1_xcmplx_0(X21)|k3_xcmplx_0(X20,X21)=k3_xcmplx_0(X21,X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
fof(c_0_12, plain, ![X17]:(~v7_ordinal1(X17)|v1_xcmplx_0(X17)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
fof(c_0_13, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>k3_newton05(k7_newton(k1_nat_1(X1,np__1)))=k3_xcmplx_0(k3_newton05(k1_nat_1(X1,np__1)),k3_newton05(k7_newton(X1))))), inference(assume_negation,[status(cth)],[t45_newton07])).
fof(c_0_14, plain, ![X26]:(~v7_ordinal1(X26)|k2_newton(k1_nat_1(X26,np__1))=k3_xcmplx_0(k2_newton(X26),k1_nat_1(X26,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_newton])])).
fof(c_0_15, plain, ![X25]:(~v7_ordinal1(X25)|k7_newton(X25)=k2_newton(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_newton])])).
cnf(c_0_16, 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_11])).
cnf(c_0_17, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_18, plain, ![X19]:(~m1_subset_1(X19,k4_ordinal1)|v7_ordinal1(X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_19, plain, ![X24]:(~v7_ordinal1(X24)|m1_subset_1(k7_newton(X24),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_newton])])).
fof(c_0_20, negated_conjecture, (v7_ordinal1(esk1_0)&k3_newton05(k7_newton(k1_nat_1(esk1_0,np__1)))!=k3_xcmplx_0(k3_newton05(k1_nat_1(esk1_0,np__1)),k3_newton05(k7_newton(esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
fof(c_0_21, plain, ![X27, X28]:(~v1_int_1(X27)|(~v1_int_1(X28)|k3_newton05(k3_xcmplx_0(X27,X28))=k3_xcmplx_0(k3_newton05(X27),k3_newton05(X28)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_newton05])])])).
cnf(c_0_22, plain, (k2_newton(k1_nat_1(X1,np__1))=k3_xcmplx_0(k2_newton(X1),k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_23, plain, (k7_newton(X1)=k2_newton(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_24, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
cnf(c_0_25, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (m1_subset_1(k7_newton(X1),k4_ordinal1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, negated_conjecture, (k3_newton05(k7_newton(k1_nat_1(esk1_0,np__1)))!=k3_xcmplx_0(k3_newton05(k1_nat_1(esk1_0,np__1)),k3_newton05(k7_newton(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (k3_newton05(k3_xcmplx_0(X1,X2))=k3_xcmplx_0(k3_newton05(X1),k3_newton05(X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29, plain, (k3_xcmplx_0(k7_newton(X1),k1_nat_1(X1,np__1))=k2_newton(k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_30, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_24, c_0_17])).
cnf(c_0_31, plain, (v7_ordinal1(k7_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
fof(c_0_32, plain, ![X18]:(~v7_ordinal1(X18)|v1_int_1(X18)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_33, negated_conjecture, (k3_newton05(k3_xcmplx_0(k1_nat_1(esk1_0,np__1),k7_newton(esk1_0)))!=k3_newton05(k7_newton(k1_nat_1(esk1_0,np__1)))|~v1_int_1(k1_nat_1(esk1_0,np__1))|~v1_int_1(k7_newton(esk1_0))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_34, plain, (k3_xcmplx_0(k1_nat_1(X1,np__1),k7_newton(X1))=k2_newton(k1_nat_1(X1,np__1))|~v7_ordinal1(k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])).
cnf(c_0_35, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_36, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_37, negated_conjecture, (k3_newton05(k2_newton(k1_nat_1(esk1_0,np__1)))!=k3_newton05(k7_newton(k1_nat_1(esk1_0,np__1)))|~v1_int_1(k7_newton(esk1_0))|~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])]), c_0_36])).
cnf(c_0_38, negated_conjecture, (~v1_int_1(k7_newton(esk1_0))|~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(spm,[status(thm)],[c_0_37, c_0_23])).
fof(c_0_39, plain, ![X22, X23]:(~v7_ordinal1(X22)|~m1_subset_1(X23,k4_ordinal1)|m1_subset_1(k1_nat_1(X22,X23),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_nat_1])])).
cnf(c_0_40, negated_conjecture, (~v7_ordinal1(k1_nat_1(esk1_0,np__1))|~v7_ordinal1(k7_newton(esk1_0))), inference(spm,[status(thm)],[c_0_38, c_0_36])).
cnf(c_0_41, plain, (m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_42, negated_conjecture, (~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_31]), c_0_35])])).
cnf(c_0_43, plain, (v7_ordinal1(k1_nat_1(X1,X2))|~m1_subset_1(X2,k4_ordinal1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_25, c_0_41])).
cnf(c_0_44, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_45, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_35])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 46
# Proof object clause steps            : 24
# Proof object formula steps           : 22
# Proof object conjectures             : 11
# Proof object clause conjectures      : 8
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 9
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 13
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 13
# Processed clauses                    : 38
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 38
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 0
# Generated clauses                    : 18
# ...of the previous two non-trivial   : 17
# Contextual simplify-reflections      : 2
# Paramodulations                      : 18
# Factorizations                       : 0
# 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  : 24
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 18
# Current number of unprocessed clauses: 5
# ...number of literals in the above   : 22
# Current number of archived formulas  : 0
# Current number of archived clauses   : 14
# Clause-clause subsumption calls (NU) : 138
# Rec. Clause-clause subsumption calls : 116
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 2
# 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          : 1391

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.002 s
# Total time               : 0.019 s
# Maximum resident set size: 3644 pages
