# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('number14/number14__l4_number14', cc1_xcmplx_0)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('number14/number14__l4_number14', cc8_ordinal1)).
fof(t4_number02, axiom, ![X1]:(v1_xcmplx_0(X1)=>k1_newton(X1,np__8)=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(X1,X1),X1),X1),X1),X1),X1),X1)), file('number14/number14__l4_number14', t4_number02)).
fof(redefinition_k2_nat_1, axiom, ![X1, X2]:((m1_subset_1(X1,k4_ordinal1)&m1_subset_1(X2,k4_ordinal1))=>k2_nat_1(X1,X2)=k3_xcmplx_0(X1,X2)), file('number14/number14__l4_number14', redefinition_k2_nat_1)).
fof(dt_k2_nat_1, axiom, ![X1, X2]:((m1_subset_1(X1,k4_ordinal1)&m1_subset_1(X2,k4_ordinal1))=>m1_subset_1(k2_nat_1(X1,X2),k4_ordinal1)), file('number14/number14__l4_number14', dt_k2_nat_1)).
fof(l4_number14, conjecture, k11_newton(np__2,np__8)=k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),np__2),np__2),np__2), file('number14/number14__l4_number14', l4_number14)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('number14/number14__l4_number14', spc2_numerals)).
fof(redefinition_k11_newton, axiom, ![X1, X2]:((m1_subset_1(X1,k4_ordinal1)&m1_subset_1(X2,k4_ordinal1))=>k11_newton(X1,X2)=k1_newton(X1,X2)), file('number14/number14__l4_number14', redefinition_k11_newton)).
fof(spc8_numerals, axiom, (v2_xxreal_0(np__8)&m1_subset_1(np__8,k4_ordinal1)), file('number14/number14__l4_number14', spc8_numerals)).
fof(c_0_9, plain, ![X12]:(~v7_ordinal1(X12)|v1_xcmplx_0(X12)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
fof(c_0_10, plain, ![X13]:(~m1_subset_1(X13,k4_ordinal1)|v7_ordinal1(X13)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_11, plain, ![X20]:(~v1_xcmplx_0(X20)|k1_newton(X20,np__8)=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(X20,X20),X20),X20),X20),X20),X20),X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_number02])])).
fof(c_0_12, plain, ![X16, X17]:(~m1_subset_1(X16,k4_ordinal1)|~m1_subset_1(X17,k4_ordinal1)|k2_nat_1(X16,X17)=k3_xcmplx_0(X16,X17)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_nat_1])])).
cnf(c_0_13, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, plain, (k1_newton(X1,np__8)=k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(X1,X1),X1),X1),X1),X1),X1),X1)|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, plain, (k2_nat_1(X1,X2)=k3_xcmplx_0(X1,X2)|~m1_subset_1(X1,k4_ordinal1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (v1_xcmplx_0(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_18, plain, (k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),X1)=k1_newton(X1,np__8)|~m1_subset_1(X1,k4_ordinal1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])).
fof(c_0_19, plain, ![X18, X19]:(~m1_subset_1(X18,k4_ordinal1)|~m1_subset_1(X19,k4_ordinal1)|m1_subset_1(k2_nat_1(X18,X19),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_nat_1])])).
cnf(c_0_20, plain, (k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_nat_1(k3_xcmplx_0(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),X1)=k1_newton(X1,np__8)|~m1_subset_1(k3_xcmplx_0(k2_nat_1(X1,X1),X1),k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_18, c_0_16])).
cnf(c_0_21, plain, (m1_subset_1(k2_nat_1(X1,X2),k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_22, plain, (k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_nat_1(k2_nat_1(k3_xcmplx_0(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),X1)=k1_newton(X1,np__8)|~m1_subset_1(k3_xcmplx_0(k2_nat_1(X1,X1),X1),k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_16]), c_0_21])).
cnf(c_0_23, plain, (k3_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),X1)=k1_newton(X1,np__8)|~m1_subset_1(k2_nat_1(X1,X1),k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_16]), c_0_21])).
cnf(c_0_24, plain, (k3_xcmplx_0(k3_xcmplx_0(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),X1)=k1_newton(X1,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),k4_ordinal1)|~m1_subset_1(k2_nat_1(X1,X1),k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_23, c_0_16])).
fof(c_0_25, negated_conjecture, k11_newton(np__2,np__8)!=k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),np__2),np__2),np__2), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l4_number14])])).
cnf(c_0_26, plain, (k3_xcmplx_0(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),X1)=k1_newton(X1,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),k4_ordinal1)|~m1_subset_1(k2_nat_1(X1,X1),k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_16]), c_0_21])).
cnf(c_0_27, negated_conjecture, (k11_newton(np__2,np__8)!=k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),np__2),np__2),np__2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_28, plain, (k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),X1)=k1_newton(X1,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),X1),X1),k4_ordinal1)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(X1,X1),X1),X1),X1),k4_ordinal1)|~m1_subset_1(k2_nat_1(X1,X1),k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_16, c_0_26])).
cnf(c_0_29, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_30, negated_conjecture, (k1_newton(np__2,np__8)!=k11_newton(np__2,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),np__2),np__2),k4_ordinal1)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),k4_ordinal1)|~m1_subset_1(k2_nat_1(np__2,np__2),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])])).
cnf(c_0_31, negated_conjecture, (k1_newton(np__2,np__8)!=k11_newton(np__2,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),np__2),k4_ordinal1)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),k4_ordinal1)|~m1_subset_1(k2_nat_1(np__2,np__2),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_21]), c_0_29])])).
cnf(c_0_32, negated_conjecture, (k1_newton(np__2,np__8)!=k11_newton(np__2,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),np__2),k4_ordinal1)|~m1_subset_1(k2_nat_1(np__2,np__2),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_21]), c_0_29])])).
cnf(c_0_33, negated_conjecture, (k1_newton(np__2,np__8)!=k11_newton(np__2,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),np__2),k4_ordinal1)|~m1_subset_1(k2_nat_1(np__2,np__2),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_21]), c_0_29])])).
cnf(c_0_34, negated_conjecture, (k1_newton(np__2,np__8)!=k11_newton(np__2,np__8)|~m1_subset_1(k2_nat_1(k2_nat_1(np__2,np__2),np__2),k4_ordinal1)|~m1_subset_1(k2_nat_1(np__2,np__2),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_21]), c_0_29])])).
fof(c_0_35, plain, ![X14, X15]:(~m1_subset_1(X14,k4_ordinal1)|~m1_subset_1(X15,k4_ordinal1)|k11_newton(X14,X15)=k1_newton(X14,X15)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k11_newton])])).
cnf(c_0_36, negated_conjecture, (k1_newton(np__2,np__8)!=k11_newton(np__2,np__8)|~m1_subset_1(k2_nat_1(np__2,np__2),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_21]), c_0_29])])).
cnf(c_0_37, plain, (k11_newton(X1,X2)=k1_newton(X1,X2)|~m1_subset_1(X1,k4_ordinal1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_38, plain, (m1_subset_1(np__8,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc8_numerals])).
cnf(c_0_39, negated_conjecture, (~m1_subset_1(k2_nat_1(np__2,np__2),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_29])])).
cnf(c_0_40, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_21]), c_0_29])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 41
# Proof object clause steps            : 25
# Proof object formula steps           : 16
# Proof object conjectures             : 11
# Proof object clause conjectures      : 9
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 9
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 16
# Proof object simplifying inferences  : 21
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 11
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 11
# Processed clauses                    : 157
# ...of these trivial                  : 0
# ...subsumed                          : 48
# ...remaining for further processing  : 109
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 37
# Backward-rewritten                   : 0
# Generated clauses                    : 319
# ...of the previous two non-trivial   : 318
# Contextual simplify-reflections      : 22
# Paramodulations                      : 319
# 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  : 61
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 55
# Current number of unprocessed clauses: 122
# ...number of literals in the above   : 569
# Current number of archived formulas  : 0
# Current number of archived clauses   : 48
# Clause-clause subsumption calls (NU) : 3473
# Rec. Clause-clause subsumption calls : 1979
# Non-unit clause-clause subsumptions  : 107
# Unit Clause-clause subsumption calls : 1
# 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          : 12001

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.004 s
# Total time               : 0.033 s
# Maximum resident set size: 2920 pages
