# 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       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc11_membered, axiom, ![X1]:(v6_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v7_ordinal1(X2))), file('number14/number14__l6_number14', cc11_membered)).
fof(l6_number14, conjecture, k5_int_1(k1_nat_1(k2_nat_1(np__1,np__3),np__1),np__3)=k5_int_1(np__1,np__3), file('number14/number14__l6_number14', l6_number14)).
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__l6_number14', redefinition_k2_nat_1)).
fof(t21_nat_d, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>k2_nat_d(X2,X3)=k2_nat_d(k2_xcmplx_0(k3_xcmplx_0(X3,X1),X2),X3)))), file('number14/number14__l6_number14', t21_nat_d)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('number14/number14__l6_number14', spc3_numerals)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('number14/number14__l6_number14', fc6_membered)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('number14/number14__l6_number14', spc1_numerals)).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(np__1,np__3)=np__3, file('number14/number14__l6_number14', rqRealMult__k3_xcmplx_0__r1_r3_r3)).
fof(redefinition_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)), file('number14/number14__l6_number14', redefinition_k1_nat_1)).
fof(redefinition_k2_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>k2_nat_d(X1,X2)=k5_int_1(X1,X2)), file('number14/number14__l6_number14', redefinition_k2_nat_d)).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(np__3,np__1)=np__3, file('number14/number14__l6_number14', rqRealMult__k3_xcmplx_0__r3_r1_r3)).
fof(fc1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k2_xcmplx_0(X1,X2))), file('number14/number14__l6_number14', fc1_nat_1)).
fof(c_0_12, plain, ![X17, X18]:(~v6_membered(X17)|(~m1_subset_1(X18,X17)|v7_ordinal1(X18))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])).
fof(c_0_13, negated_conjecture, k5_int_1(k1_nat_1(k2_nat_1(np__1,np__3),np__1),np__3)!=k5_int_1(np__1,np__3), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l6_number14])])).
fof(c_0_14, plain, ![X21, X22]:(~m1_subset_1(X21,k4_ordinal1)|~m1_subset_1(X22,k4_ordinal1)|k2_nat_1(X21,X22)=k3_xcmplx_0(X21,X22)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_nat_1])])).
fof(c_0_15, plain, ![X27, X28, X29]:(~v7_ordinal1(X27)|(~v7_ordinal1(X28)|(~v7_ordinal1(X29)|k2_nat_d(X28,X29)=k2_nat_d(k2_xcmplx_0(k3_xcmplx_0(X29,X27),X28),X29)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_nat_d])])])).
cnf(c_0_16, plain, (v7_ordinal1(X2)|~v6_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
cnf(c_0_18, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
cnf(c_0_19, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_20, negated_conjecture, (k5_int_1(k1_nat_1(k2_nat_1(np__1,np__3),np__1),np__3)!=k5_int_1(np__1,np__3)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_21, 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_14])).
cnf(c_0_22, plain, (k3_xcmplx_0(np__1,np__3)=np__3), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r1_r3_r3])).
fof(c_0_23, plain, ![X19, X20]:(~v7_ordinal1(X19)|~m1_subset_1(X20,k4_ordinal1)|k1_nat_1(X19,X20)=k2_xcmplx_0(X19,X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
fof(c_0_24, plain, ![X23, X24]:(~v7_ordinal1(X23)|~v7_ordinal1(X24)|k2_nat_d(X23,X24)=k5_int_1(X23,X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_nat_d])])).
cnf(c_0_25, plain, (k2_nat_d(X2,X3)=k2_nat_d(k2_xcmplx_0(k3_xcmplx_0(X3,X1),X2),X3)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_26, plain, (k3_xcmplx_0(np__3,np__1)=np__3), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r3_r1_r3])).
cnf(c_0_27, plain, (v7_ordinal1(np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])])).
cnf(c_0_28, plain, (v7_ordinal1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_19]), c_0_18])])).
cnf(c_0_29, negated_conjecture, (k5_int_1(k1_nat_1(np__3,np__1),np__3)!=k5_int_1(np__1,np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_17]), c_0_19])])).
cnf(c_0_30, plain, (k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, plain, (k2_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, plain, (k2_nat_d(k2_xcmplx_0(np__3,X1),np__3)=k2_nat_d(X1,np__3)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_28])])).
cnf(c_0_33, negated_conjecture, (k5_int_1(k2_xcmplx_0(np__3,np__1),np__3)!=k5_int_1(np__1,np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_27]), c_0_19])])).
cnf(c_0_34, plain, (k5_int_1(k2_xcmplx_0(np__3,X1),np__3)=k2_nat_d(X1,np__3)|~v7_ordinal1(k2_xcmplx_0(np__3,X1))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_27])])).
fof(c_0_35, plain, ![X25, X26]:(~v7_ordinal1(X25)|~v7_ordinal1(X26)|v7_ordinal1(k2_xcmplx_0(X25,X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_nat_1])])).
cnf(c_0_36, negated_conjecture, (k2_nat_d(np__1,np__3)!=k5_int_1(np__1,np__3)|~v7_ordinal1(k2_xcmplx_0(np__3,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_28])])).
cnf(c_0_37, plain, (v7_ordinal1(k2_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_38, negated_conjecture, (k2_nat_d(np__1,np__3)!=k5_int_1(np__1,np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_28]), c_0_27])])).
cnf(c_0_39, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_31]), c_0_27]), c_0_28])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 40
# Proof object clause steps            : 21
# Proof object formula steps           : 19
# Proof object conjectures             : 8
# Proof object clause conjectures      : 6
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 24
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 14
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 14
# Processed clauses                    : 41
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 40
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 16
# ...of the previous two non-trivial   : 15
# Contextual simplify-reflections      : 0
# Paramodulations                      : 16
# 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  : 26
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 13
# Current number of unprocessed clauses: 2
# ...number of literals in the above   : 6
# Current number of archived formulas  : 0
# Current number of archived clauses   : 14
# Clause-clause subsumption calls (NU) : 26
# Rec. Clause-clause subsumption calls : 16
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 8
# 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          : 1369

# -------------------------------------------------
# User time                : 0.016 s
# System time              : 0.004 s
# Total time               : 0.020 s
# Maximum resident set size: 3608 pages
