0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.11	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.11/0.32	% Computer : n019.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 1920
0.11/0.32	% WCLimit    : 240
0.11/0.32	% DateTime   : Wed Jul 30 05:34:34 EDT 2025
0.11/0.32	% CPUTime    : 
0.18/0.45	Running higher-order theorem proving
0.18/0.45	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.dmDgABE4Um/E---3.1_1908.p
0.18/0.47	# Version: 3.0.0-ho
0.18/0.47	# Preprocessing class: HSSSSLSSSLSNSFA.
0.18/0.47	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.18/0.47	# Starting post_as_ho5 with 1200s (5) cores
0.18/0.47	# Starting post_as_ho10 with 240s (1) cores
0.18/0.47	# Starting post_as_ho4 with 240s (1) cores
0.18/0.47	# Starting sh5l with 240s (1) cores
0.18/0.47	# post_as_ho10 with pid 1991 completed with status 0
0.18/0.47	# Result found by post_as_ho10
0.18/0.47	# Preprocessing class: HSSSSLSSSLSNSFA.
0.18/0.47	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.18/0.47	# Starting post_as_ho5 with 1200s (5) cores
0.18/0.47	# Starting post_as_ho10 with 240s (1) cores
0.18/0.47	# No SInE strategy applied
0.18/0.47	# Search class: HGUSF-FFSF21-MSFFMMBN
0.18/0.47	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.18/0.47	# Starting ho_unfolding_3 with 130s (1) cores
0.18/0.47	# ho_unfolding_3 with pid 2000 completed with status 0
0.18/0.47	# Result found by ho_unfolding_3
0.18/0.47	# Preprocessing class: HSSSSLSSSLSNSFA.
0.18/0.47	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.18/0.47	# Starting post_as_ho5 with 1200s (5) cores
0.18/0.47	# Starting post_as_ho10 with 240s (1) cores
0.18/0.47	# No SInE strategy applied
0.18/0.47	# Search class: HGUSF-FFSF21-MSFFMMBN
0.18/0.47	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.18/0.47	# Starting ho_unfolding_3 with 130s (1) cores
0.18/0.47	# Preprocessing time       : 0.001 s
0.18/0.47	# Presaturation interreduction done
0.18/0.47	
0.18/0.47	# Proof found!
0.18/0.47	# SZS status Theorem
0.18/0.47	# SZS output start CNFRefutation
0.18/0.47	thf(decl_23, type, c0: $i).
0.18/0.47	thf(decl_24, type, cS: $i > $i).
0.18/0.47	thf(decl_25, type, cEVEN1: $i > $o).
0.18/0.47	thf(decl_26, type, cIND: $o).
0.18/0.47	thf(decl_27, type, cODD1: $i > $o).
0.18/0.47	thf(decl_28, type, cPEANO1: $o).
0.18/0.47	thf(decl_29, type, esk1_1: ($i > $o) > $i).
0.18/0.47	thf(decl_30, type, esk2_2: $i > ($i > $o) > $i).
0.18/0.47	thf(cODD1_def, axiom, ((cODD1)=(^[X1:$i]:(~((cEVEN1 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.dmDgABE4Um/E---3.1_1908.p', cODD1_def)).
0.18/0.47	thf(cEVEN1_def, axiom, ((cEVEN1)=(^[X1:$i]:(![X2:$i > $o]:((((X2 @ c0)&![X3:$i]:(((X2 @ X3)=>(X2 @ (cS @ (cS @ X3))))))=>(X2 @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.dmDgABE4Um/E---3.1_1908.p', cEVEN1_def)).
0.18/0.47	thf(cPEANO1_def, axiom, ((cPEANO1)<=>((![X4:$i]:(((cS @ X4)!=(c0)))&![X5:$i, X6:$i]:((((cS @ X5)=(cS @ X6))=>((X5)=(X6)))))&(cIND))), file('/export/starexec/sandbox2/tmp/tmp.dmDgABE4Um/E---3.1_1908.p', cPEANO1_def)).
0.18/0.47	thf(cIND_def, axiom, ((cIND)<=>![X2:$i > $o]:((((X2 @ c0)&![X3:$i]:(((X2 @ X3)=>(X2 @ (cS @ X3)))))=>![X3:$i]:((X2 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.dmDgABE4Um/E---3.1_1908.p', cIND_def)).
0.18/0.47	thf(cTHM404, conjecture, ((cPEANO1)=>?[X1:$i]:((cODD1 @ X1))), file('/export/starexec/sandbox2/tmp/tmp.dmDgABE4Um/E---3.1_1908.p', cTHM404)).
0.18/0.47	thf(c_0_5, plain, ((cODD1)=(^[Z0/* 7 */:$i]:(~((![X14:$i > $o]:((((X14 @ c0)&![X15:$i]:(((X14 @ X15)=>(X14 @ (cS @ (cS @ X15))))))=>(X14 @ Z0)))))))), inference(fof_simplification,[status(thm)],[cODD1_def])).
0.18/0.47	thf(c_0_6, plain, ((cEVEN1)=(^[Z0/* 6 */:$i]:(![X2:$i > $o]:((((X2 @ c0)&![X3:$i]:(((X2 @ X3)=>(X2 @ (cS @ (cS @ X3))))))=>(X2 @ Z0)))))), inference(fof_simplification,[status(thm)],[cEVEN1_def])).
0.18/0.47	thf(c_0_7, plain, ((cODD1)=(^[Z0/* 7 */:$i]:(~((![X14:$i > $o]:((((X14 @ c0)&![X15:$i]:(((X14 @ X15)=>(X14 @ (cS @ (cS @ X15))))))=>(X14 @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_5, c_0_6])).
0.18/0.47	thf(c_0_8, axiom, ((cPEANO1)=(((![X4:$i]:(((cS @ X4)!=(c0)))&![X5:$i, X6:$i]:((((cS @ X5)=(cS @ X6))=>((X5)=(X6)))))&(![X16:$i > $o]:((((X16 @ c0)&![X17:$i]:(((X16 @ X17)=>(X16 @ (cS @ X17)))))=>![X18:$i]:((X16 @ X18)))))))), inference(apply_def,[status(thm)],[cPEANO1_def, cIND_def])).
0.18/0.47	thf(c_0_9, negated_conjecture, ~((((![X19:$i]:(((cS @ X19)!=(c0)))&![X20:$i, X21:$i]:((((cS @ X20)=(cS @ X21))=>((X20)=(X21)))))&![X22:$i > $o]:((((X22 @ c0)&![X23:$i]:(((X22 @ X23)=>(X22 @ (cS @ X23)))))=>![X24:$i]:((X22 @ X24)))))=>?[X1:$i]:(~(![X25:$i > $o]:((((X25 @ c0)&![X26:$i]:(((X25 @ X26)=>(X25 @ (cS @ (cS @ X26))))))=>(X25 @ X1))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM404]), c_0_7]), c_0_8])])).
0.18/0.47	thf(c_0_10, negated_conjecture, ![X27:$i, X28:$i, X29:$i, X30:$i > $o, X32:$i, X33:$i, X34:$i > $o]:((((((cS @ X27)!=(c0))&(((cS @ X28)!=(cS @ X29))|((X28)=(X29))))&(((X30 @ (esk1_1 @ X30))|~(X30 @ c0)|(X30 @ X32))&(~(X30 @ (cS @ (esk1_1 @ X30)))|~(X30 @ c0)|(X30 @ X32))))&(((X34 @ (esk2_2 @ X33 @ X34))|~(X34 @ c0)|(X34 @ X33))&(~(X34 @ (cS @ (cS @ (esk2_2 @ X33 @ X34))))|~(X34 @ c0)|(X34 @ X33))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])).
0.18/0.47	thf(c_0_11, negated_conjecture, ![X1:$i, X2:$i > $o]:(((X2 @ X1)|~((X2 @ (cS @ (cS @ (esk2_2 @ X1 @ X2)))))|~((X2 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.18/0.47	thf(c_0_12, negated_conjecture, ![X1:$i, X3:$i]:((((X1)=(X3))|((cS @ X1)!=(cS @ X3)))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.18/0.47	thf(c_0_13, negated_conjecture, ![X1:$i]:((((cS @ (cS @ (esk2_2 @ X1 @ (^[Z0/* 4 */:$i]:(((Z0)!=(X1)))))))=(X1))|((c0)=(X1)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_11])).
0.18/0.47	thf(c_0_14, negated_conjecture, ![X1:$i]:(((cS @ X1)!=(c0))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.18/0.47	thf(c_0_15, negated_conjecture, ![X1:$i]:(((cS @ (esk2_2 @ (cS @ X1) @ (^[Z0/* 4 */:$i]:(((Z0)!=(cS @ X1))))))=(X1))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13])]), c_0_14])).
0.18/0.47	thf(c_0_16, negated_conjecture, ($false), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15])]), ['proof']).
0.18/0.47	# SZS output end CNFRefutation
0.18/0.47	# Parsed axioms                        : 11
0.18/0.47	# Removed by relevancy pruning/SinE    : 0
0.18/0.47	# Initial clauses                      : 12
0.18/0.47	# Removed in clause preprocessing      : 6
0.18/0.47	# Initial clauses in saturation        : 6
0.18/0.47	# Processed clauses                    : 31
0.18/0.47	# ...of these trivial                  : 1
0.18/0.47	# ...subsumed                          : 5
0.18/0.47	# ...remaining for further processing  : 25
0.18/0.47	# Other redundant clauses eliminated   : 9
0.18/0.47	# Clauses deleted for lack of memory   : 0
0.18/0.47	# Backward-subsumed                    : 0
0.18/0.47	# Backward-rewritten                   : 0
0.18/0.47	# Generated clauses                    : 55
0.18/0.47	# ...of the previous two non-redundant : 33
0.18/0.47	# ...aggressively subsumed             : 0
0.18/0.47	# Contextual simplify-reflections      : 0
0.18/0.47	# Paramodulations                      : 29
0.18/0.47	# Factorizations                       : 0
0.18/0.47	# NegExts                              : 1
0.18/0.47	# Equation resolutions                 : 10
0.18/0.47	# Disequality decompositions           : 0
0.18/0.47	# Total rewrite steps                  : 2
0.18/0.47	# ...of those cached                   : 0
0.18/0.47	# Propositional unsat checks           : 0
0.18/0.47	#    Propositional check models        : 0
0.18/0.47	#    Propositional check unsatisfiable : 0
0.18/0.47	#    Propositional clauses             : 0
0.18/0.47	#    Propositional clauses after purity: 0
0.18/0.47	#    Propositional unsat core size     : 0
0.18/0.47	#    Propositional preprocessing time  : 0.000
0.18/0.47	#    Propositional encoding time       : 0.000
0.18/0.47	#    Propositional solver time         : 0.000
0.18/0.47	#    Success case prop preproc time    : 0.000
0.18/0.47	#    Success case prop encoding time   : 0.000
0.18/0.47	#    Success case prop solver time     : 0.000
0.18/0.47	# Current number of processed clauses  : 19
0.18/0.47	#    Positive orientable unit clauses  : 4
0.18/0.47	#    Positive unorientable unit clauses: 0
0.18/0.47	#    Negative unit clauses             : 2
0.18/0.47	#    Non-unit-clauses                  : 13
0.18/0.47	# Current number of unprocessed clauses: 8
0.18/0.47	# ...number of literals in the above   : 19
0.18/0.47	# Current number of archived formulas  : 0
0.18/0.47	# Current number of archived clauses   : 6
0.18/0.47	# Clause-clause subsumption calls (NU) : 12
0.18/0.47	# Rec. Clause-clause subsumption calls : 12
0.18/0.47	# Non-unit clause-clause subsumptions  : 1
0.18/0.47	# Unit Clause-clause subsumption calls : 6
0.18/0.47	# Rewrite failures with RHS unbound    : 0
0.18/0.47	# BW rewrite match attempts            : 0
0.18/0.47	# BW rewrite match successes           : 0
0.18/0.47	# Condensation attempts                : 31
0.18/0.47	# Condensation successes               : 1
0.18/0.47	# Termbank termtop insertions          : 1657
0.18/0.47	# Search garbage collected termcells   : 348
0.18/0.47	
0.18/0.47	# -------------------------------------------------
0.18/0.47	# User time                : 0.005 s
0.18/0.47	# System time              : 0.002 s
0.18/0.47	# Total time               : 0.006 s
0.18/0.47	# Maximum resident set size: 1864 pages
0.18/0.47	
0.18/0.47	# -------------------------------------------------
0.18/0.47	# User time                : 0.005 s
0.18/0.47	# System time              : 0.004 s
0.18/0.47	# Total time               : 0.009 s
0.18/0.47	# Maximum resident set size: 1768 pages
0.18/0.47	% E exiting
0.18/0.47	% E exiting
0.18/0.47	EOF