0.11/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.11	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.11/0.32	% Computer : n010.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 03:44:34 EDT 2025
0.18/0.32	% CPUTime    : 
0.18/0.46	Running higher-order theorem proving
0.18/0.47	Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.xF0KFj0JWk/E---3.1_32578.p
0.18/0.48	# Version: 3.0.0-ho
0.18/0.48	# Preprocessing class: HSSSSMSSSSSNSSA.
0.18/0.48	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.18/0.48	# Starting post_as_ho12 with 240s (1) cores
0.18/0.48	# Starting new_bool_9 with 240s (1) cores
0.18/0.48	# Starting post_as_ho1 with 240s (1) cores
0.18/0.48	# Starting post_as_ho4 with 240s (1) cores
0.18/0.48	# Starting post_as_ho2 with 240s (1) cores
0.18/0.48	# Starting ehoh_best2_full_lfho with 240s (1) cores
0.18/0.48	# Starting full_lambda_10 with 240s (1) cores
0.18/0.48	# Starting new_ho_8 with 240s (1) cores
0.18/0.48	# new_bool_9 with pid 32657 completed with status 0
0.18/0.48	# Result found by new_bool_9
0.18/0.48	# Preprocessing class: HSSSSMSSSSSNSSA.
0.18/0.48	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.18/0.48	# Starting post_as_ho12 with 240s (1) cores
0.18/0.48	# Starting new_bool_9 with 240s (1) cores
0.18/0.48	# SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
0.18/0.48	# Search class: HGHPS-FFSF31-SSSFFSNN
0.18/0.48	# partial match(1): HGHPS-FFSF31-MSSFFSNN
0.18/0.48	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
0.18/0.48	# Starting new_ho_10 with 145s (1) cores
0.18/0.48	# new_ho_10 with pid 32664 completed with status 0
0.18/0.48	# Result found by new_ho_10
0.18/0.48	# Preprocessing class: HSSSSMSSSSSNSSA.
0.18/0.48	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.18/0.48	# Starting post_as_ho12 with 240s (1) cores
0.18/0.48	# Starting new_bool_9 with 240s (1) cores
0.18/0.48	# SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
0.18/0.48	# Search class: HGHPS-FFSF31-SSSFFSNN
0.18/0.48	# partial match(1): HGHPS-FFSF31-MSSFFSNN
0.18/0.48	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
0.18/0.48	# Starting new_ho_10 with 145s (1) cores
0.18/0.48	# Preprocessing time       : 0.001 s
0.18/0.48	# Presaturation interreduction done
0.18/0.48	
0.18/0.48	# Proof found!
0.18/0.48	# SZS status Theorem
0.18/0.48	# SZS output start CNFRefutation
0.18/0.48	thf(decl_23, type, zero: $i).
0.18/0.48	thf(decl_24, type, s: $i > $i).
0.18/0.48	thf(decl_25, type, ite: $o > $i > $i > $i).
0.18/0.48	thf(decl_26, type, h: $i > $i).
0.18/0.48	thf(n10, conjecture, (?[X1:$i > $i]:((((X1 @ zero)=(s @ zero))&((X1 @ (s @ zero))=(zero))))<=((![X2:$o, X3:$i, X4:$i]:((((ite @ ((X2)) @ X3 @ X4)=(X3))<=(X2)))&![X5:$i]:(((h @ X5)=(ite @ (((X5)=(zero))) @ (s @ zero) @ zero))))&![X2:$o, X3:$i, X4:$i]:((~((X2))=>((ite @ ((X2)) @ X3 @ X4)=(X4)))))), file('/export/starexec/sandbox/tmp/tmp.xF0KFj0JWk/E---3.1_32578.p', n10)).
0.18/0.48	thf(c_0_1, negated_conjecture, ~((((![X2:$o, X3:$i, X4:$i]:(((X2)=>((ite @ ((X2)) @ X3 @ X4)=(X3))))&![X5:$i]:(((((X5)!=(zero))|((h @ X5)=(ite @ $true @ (s @ zero) @ zero)))&(((X5)=(zero))|((h @ X5)=(ite @ $false @ (s @ zero) @ zero))))))&![X2:$o, X3:$i, X4:$i]:((~(X2)=>((ite @ ((X2)) @ X3 @ X4)=(X4)))))=>?[X1:$i > $i]:((((X1 @ zero)=(s @ zero))&((X1 @ (s @ zero))=(zero)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[n10])])])).
0.18/0.48	thf(c_0_2, negated_conjecture, ![X14:$o, X15:$i, X16:$i, X17:$i, X18:$o, X19:$i, X20:$i, X21:$i > $i]:(((((~(X14)|((ite @ ((X14)) @ X15 @ X16)=(X15)))&((((X17)!=(zero))|((h @ X17)=(ite @ $true @ (s @ zero) @ zero)))&(((X17)=(zero))|((h @ X17)=(ite @ $false @ (s @ zero) @ zero)))))&((X18)|((ite @ ((X18)) @ X19 @ X20)=(X20))))&(((X21 @ zero)!=(s @ zero))|((X21 @ (s @ zero))!=(zero))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])).
0.18/0.48	thf(c_0_3, negated_conjecture, ![X3:$i]:((((X3)=(zero))|((h @ X3)=(ite @ (~($true)) @ (s @ zero) @ zero)))), inference(split_conjunct,[status(thm)],[c_0_2])).
0.18/0.48	thf(c_0_4, negated_conjecture, ![X3:$i, X4:$i]:(((ite @ (~($true)) @ X3 @ X4)=(X4))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2])])])).
0.18/0.48	thf(c_0_5, negated_conjecture, ![X3:$i]:((((h @ X3)=(ite @ (($true)) @ (s @ zero) @ zero))|((X3)!=(zero)))), inference(split_conjunct,[status(thm)],[c_0_2])).
0.18/0.48	thf(c_0_6, negated_conjecture, ![X4:$i, X3:$i]:(((ite @ (($true)) @ X3 @ X4)=(X3))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2])])])).
0.18/0.48	thf(c_0_7, negated_conjecture, ![X1:$i > $i]:((((X1 @ zero)!=(s @ zero))|((X1 @ (s @ zero))!=(zero)))), inference(split_conjunct,[status(thm)],[c_0_2])).
0.18/0.48	thf(c_0_8, negated_conjecture, ![X3:$i]:((((h @ X3)=(zero))|((X3)=(zero)))), inference(rw,[status(thm)],[c_0_3, c_0_4])).
0.18/0.48	thf(c_0_9, negated_conjecture, ((h @ zero)=(s @ zero)), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_5, c_0_6])])).
0.18/0.48	thf(c_0_10, negated_conjecture, ((s @ zero)!=(zero)), inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_6]), c_0_6])])).
0.18/0.48	thf(c_0_11, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9])]), c_0_10]), ['proof']).
0.18/0.48	# SZS output end CNFRefutation
0.18/0.48	# Parsed axioms                        : 5
0.18/0.48	# Removed by relevancy pruning/SinE    : 4
0.18/0.48	# Initial clauses                      : 5
0.18/0.48	# Removed in clause preprocessing      : 0
0.18/0.48	# Initial clauses in saturation        : 5
0.18/0.48	# Processed clauses                    : 12
0.18/0.48	# ...of these trivial                  : 0
0.18/0.48	# ...subsumed                          : 0
0.18/0.48	# ...remaining for further processing  : 11
0.18/0.48	# Other redundant clauses eliminated   : 2
0.18/0.48	# Clauses deleted for lack of memory   : 0
0.18/0.48	# Backward-subsumed                    : 0
0.18/0.48	# Backward-rewritten                   : 0
0.18/0.48	# Generated clauses                    : 4
0.18/0.48	# ...of the previous two non-redundant : 3
0.18/0.48	# ...aggressively subsumed             : 0
0.18/0.48	# Contextual simplify-reflections      : 0
0.18/0.48	# Paramodulations                      : 2
0.18/0.48	# Factorizations                       : 0
0.18/0.48	# NegExts                              : 0
0.18/0.48	# Equation resolutions                 : 2
0.18/0.48	# Disequality decompositions           : 0
0.18/0.48	# Total rewrite steps                  : 4
0.18/0.48	# ...of those cached                   : 0
0.18/0.48	# Propositional unsat checks           : 0
0.18/0.48	#    Propositional check models        : 0
0.18/0.48	#    Propositional check unsatisfiable : 0
0.18/0.48	#    Propositional clauses             : 0
0.18/0.48	#    Propositional clauses after purity: 0
0.18/0.48	#    Propositional unsat core size     : 0
0.18/0.48	#    Propositional preprocessing time  : 0.000
0.18/0.48	#    Propositional encoding time       : 0.000
0.18/0.48	#    Propositional solver time         : 0.000
0.18/0.48	#    Success case prop preproc time    : 0.000
0.18/0.48	#    Success case prop encoding time   : 0.000
0.18/0.48	#    Success case prop solver time     : 0.000
0.18/0.48	# Current number of processed clauses  : 5
0.18/0.48	#    Positive orientable unit clauses  : 2
0.18/0.48	#    Positive unorientable unit clauses: 0
0.18/0.48	#    Negative unit clauses             : 1
0.18/0.48	#    Non-unit-clauses                  : 2
0.18/0.48	# Current number of unprocessed clauses: 1
0.18/0.48	# ...number of literals in the above   : 1
0.18/0.48	# Current number of archived formulas  : 0
0.18/0.48	# Current number of archived clauses   : 5
0.18/0.48	# Clause-clause subsumption calls (NU) : 0
0.18/0.48	# Rec. Clause-clause subsumption calls : 0
0.18/0.48	# Non-unit clause-clause subsumptions  : 0
0.18/0.48	# Unit Clause-clause subsumption calls : 1
0.18/0.48	# Rewrite failures with RHS unbound    : 0
0.18/0.48	# BW rewrite match attempts            : 0
0.18/0.48	# BW rewrite match successes           : 0
0.18/0.48	# Condensation attempts                : 12
0.18/0.48	# Condensation successes               : 0
0.18/0.48	# Termbank termtop insertions          : 658
0.18/0.48	# Search garbage collected termcells   : 190
0.18/0.48	
0.18/0.48	# -------------------------------------------------
0.18/0.48	# User time                : 0.001 s
0.18/0.48	# System time              : 0.002 s
0.18/0.48	# Total time               : 0.003 s
0.18/0.48	# Maximum resident set size: 1796 pages
0.18/0.48	
0.18/0.48	# -------------------------------------------------
0.18/0.48	# User time                : 0.001 s
0.18/0.48	# System time              : 0.006 s
0.18/0.48	# Total time               : 0.007 s
0.18/0.48	# Maximum resident set size: 1728 pages
0.18/0.48	% E exiting
0.18/0.48	% E exiting
0.18/0.48	EOF