# 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       : 0.014 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t58_number14, conjecture, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>(m3_number14(X3,X2)=>m3_number14(k2_xcmplx_0(X3,k3_xcmplx_0(X1,X2)),X2))))), file('number14/number14__t58_number14', t58_number14)).
fof(d15_number14, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(m3_number14(X2,X1)<=>r1_int_1(X1,X2)))), file('number14/number14__t58_number14', d15_number14)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('number14/number14__t58_number14', cc3_xreal_0)).
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('number14/number14__t58_number14', cc3_int_1)).
fof(t4_wsierp_1, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>((r1_int_1(X1,X2)&r1_int_1(X1,X3))=>r1_int_1(X1,k2_xcmplx_0(X2,X3)))))), file('number14/number14__t58_number14', t4_wsierp_1)).
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('number14/number14__t58_number14', commutativity_k3_xcmplx_0)).
fof(fc1_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k2_xcmplx_0(X1,X2))), file('number14/number14__t58_number14', fc1_int_1)).
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('number14/number14__t58_number14', d3_int_1)).
fof(fc2_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k3_xcmplx_0(X1,X2))), file('number14/number14__t58_number14', fc2_int_1)).
fof(c_0_9, negated_conjecture, ~(![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>(m3_number14(X3,X2)=>m3_number14(k2_xcmplx_0(X3,k3_xcmplx_0(X1,X2)),X2)))))), inference(assume_negation,[status(cth)],[t58_number14])).
fof(c_0_10, negated_conjecture, (v1_int_1(esk1_0)&(v1_int_1(esk2_0)&(v1_int_1(esk3_0)&(m3_number14(esk3_0,esk2_0)&~m3_number14(k2_xcmplx_0(esk3_0,k3_xcmplx_0(esk1_0,esk2_0)),esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_11, plain, ![X30, X31]:((~m3_number14(X31,X30)|r1_int_1(X30,X31)|~v1_int_1(X31)|~v1_int_1(X30))&(~r1_int_1(X30,X31)|m3_number14(X31,X30)|~v1_int_1(X31)|~v1_int_1(X30))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d15_number14])])])])).
fof(c_0_12, plain, ![X27]:(~v1_xreal_0(X27)|v1_xcmplx_0(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_13, plain, ![X26]:(~v1_int_1(X26)|v1_xreal_0(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
cnf(c_0_14, negated_conjecture, (~m3_number14(k2_xcmplx_0(esk3_0,k3_xcmplx_0(esk1_0,esk2_0)),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, plain, (m3_number14(X2,X1)|~r1_int_1(X1,X2)|~v1_int_1(X2)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, negated_conjecture, (v1_int_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_17, plain, ![X40, X41, X42]:(~v1_int_1(X40)|(~v1_int_1(X41)|(~v1_int_1(X42)|(~r1_int_1(X40,X41)|~r1_int_1(X40,X42)|r1_int_1(X40,k2_xcmplx_0(X41,X42)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_wsierp_1])])])).
cnf(c_0_18, plain, (r1_int_1(X2,X1)|~m3_number14(X1,X2)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, negated_conjecture, (m3_number14(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, negated_conjecture, (v1_int_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_21, plain, ![X28, X29]:(~v1_xcmplx_0(X28)|~v1_xcmplx_0(X29)|k3_xcmplx_0(X28,X29)=k3_xcmplx_0(X29,X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
cnf(c_0_22, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_23, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_24, negated_conjecture, (~r1_int_1(esk2_0,k2_xcmplx_0(esk3_0,k3_xcmplx_0(esk1_0,esk2_0)))|~v1_int_1(k2_xcmplx_0(esk3_0,k3_xcmplx_0(esk1_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])])).
cnf(c_0_25, plain, (r1_int_1(X1,k2_xcmplx_0(X2,X3))|~v1_int_1(X1)|~v1_int_1(X2)|~v1_int_1(X3)|~r1_int_1(X1,X2)|~r1_int_1(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_26, negated_conjecture, (r1_int_1(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_16]), c_0_20])])).
fof(c_0_27, plain, ![X36, X37]:(~v1_int_1(X36)|~v1_int_1(X37)|v1_int_1(k2_xcmplx_0(X36,X37))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_int_1])])).
cnf(c_0_28, 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_21])).
cnf(c_0_29, plain, (v1_xcmplx_0(X1)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_30, negated_conjecture, (~r1_int_1(esk2_0,k3_xcmplx_0(esk1_0,esk2_0))|~v1_int_1(k2_xcmplx_0(esk3_0,k3_xcmplx_0(esk1_0,esk2_0)))|~v1_int_1(k3_xcmplx_0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_20]), c_0_16])])).
cnf(c_0_31, plain, (v1_int_1(k2_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_32, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
fof(c_0_33, plain, ![X32, X33, X35]:(((v1_int_1(esk4_2(X32,X33))|~r1_int_1(X32,X33)|~v1_int_1(X33)|~v1_int_1(X32))&(X33=k3_xcmplx_0(X32,esk4_2(X32,X33))|~r1_int_1(X32,X33)|~v1_int_1(X33)|~v1_int_1(X32)))&(~v1_int_1(X35)|X33!=k3_xcmplx_0(X32,X35)|r1_int_1(X32,X33)|~v1_int_1(X33)|~v1_int_1(X32))), 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])])])])])).
fof(c_0_34, plain, ![X38, X39]:(~v1_int_1(X38)|~v1_int_1(X39)|v1_int_1(k3_xcmplx_0(X38,X39))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_int_1])])).
cnf(c_0_35, negated_conjecture, (~r1_int_1(esk2_0,k3_xcmplx_0(esk1_0,esk2_0))|~v1_int_1(k3_xcmplx_0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_20])])).
cnf(c_0_36, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_32, c_0_29])).
cnf(c_0_37, negated_conjecture, (v1_int_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_38, plain, (r1_int_1(X3,X2)|~v1_int_1(X1)|X2!=k3_xcmplx_0(X3,X1)|~v1_int_1(X2)|~v1_int_1(X3)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_39, plain, (v1_int_1(k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_40, negated_conjecture, (~r1_int_1(esk2_0,k3_xcmplx_0(esk2_0,esk1_0))|~v1_int_1(k3_xcmplx_0(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_16]), c_0_37])])).
cnf(c_0_41, plain, (r1_int_1(X1,k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_38]), c_0_39])).
cnf(c_0_42, negated_conjecture, (~v1_int_1(k3_xcmplx_0(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_16]), c_0_37])])).
cnf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_39]), c_0_37]), c_0_16])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 44
# Proof object clause steps            : 25
# Proof object formula steps           : 19
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 22
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 16
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 16
# Processed clauses                    : 48
# ...of these trivial                  : 0
# ...subsumed                          : 4
# ...remaining for further processing  : 44
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 0
# Generated clauses                    : 27
# ...of the previous two non-trivial   : 23
# Contextual simplify-reflections      : 1
# Paramodulations                      : 26
# 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  : 26
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 18
# Current number of unprocessed clauses: 7
# ...number of literals in the above   : 20
# Current number of archived formulas  : 0
# Current number of archived clauses   : 17
# Clause-clause subsumption calls (NU) : 242
# Rec. Clause-clause subsumption calls : 173
# Non-unit clause-clause subsumptions  : 5
# Unit Clause-clause subsumption calls : 5
# 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          : 1784

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.000 s
# Total time               : 0.017 s
# Maximum resident set size: 3048 pages
