0.11/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.11	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.11/0.32	% Computer : n029.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 07:09:04 EDT 2025
0.11/0.32	% CPUTime    : 
0.20/0.46	Running higher-order theorem proving
0.20/0.49	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.phAveQ8842/E---3.1_7919.p
0.20/0.53	# Version: 3.0.0-ho
0.20/0.53	# Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.53	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.20/0.53	# Starting lpo1_fix with 720s (3) cores
0.20/0.53	# Starting full_lambda_9 with 240s (1) cores
0.20/0.53	# Starting almost_fo_4 with 240s (1) cores
0.20/0.53	# Starting new_ho_9 with 240s (1) cores
0.20/0.53	# Starting pre_casc_4 with 240s (1) cores
0.20/0.53	# Starting ho_unfolding_6 with 240s (1) cores
0.20/0.53	# pre_casc_4 with pid 8002 completed with status 0
0.20/0.53	# Result found by pre_casc_4
0.20/0.53	# Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.53	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.20/0.53	# Starting lpo1_fix with 720s (3) cores
0.20/0.53	# Starting full_lambda_9 with 240s (1) cores
0.20/0.53	# Starting almost_fo_4 with 240s (1) cores
0.20/0.53	# Starting new_ho_9 with 240s (1) cores
0.20/0.53	# Starting pre_casc_4 with 240s (1) cores
0.20/0.53	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.20/0.53	# Search class: HGUSM-FFMM31-DHSMMSBN
0.20/0.53	# partial match(3): HGHSM-FFMM31-SHSSMSBN
0.20/0.53	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.20/0.53	# Starting new_ho_10 with 130s (1) cores
0.20/0.53	# new_ho_10 with pid 8004 completed with status 0
0.20/0.53	# Result found by new_ho_10
0.20/0.53	# Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.53	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.20/0.53	# Starting lpo1_fix with 720s (3) cores
0.20/0.53	# Starting full_lambda_9 with 240s (1) cores
0.20/0.53	# Starting almost_fo_4 with 240s (1) cores
0.20/0.53	# Starting new_ho_9 with 240s (1) cores
0.20/0.53	# Starting pre_casc_4 with 240s (1) cores
0.20/0.53	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.20/0.53	# Search class: HGUSM-FFMM31-DHSMMSBN
0.20/0.53	# partial match(3): HGHSM-FFMM31-SHSSMSBN
0.20/0.53	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.20/0.53	# Starting new_ho_10 with 130s (1) cores
0.20/0.53	# Preprocessing time       : 0.005 s
0.20/0.53	# Presaturation interreduction done
0.20/0.53	
0.20/0.53	# Proof found!
0.20/0.53	# SZS status Theorem
0.20/0.53	# SZS output start CNFRefutation
0.20/0.53	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.20/0.53	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.20/0.53	thf(decl_26, type, in: $i > $i > $o).
0.20/0.53	thf(decl_48, type, ordsucc: $i > $i).
0.20/0.53	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.20/0.53	thf(decl_124, type, nat: $i).
0.20/0.53	thf(decl_125, type, n_is: $i > $i > $o).
0.20/0.53	thf(decl_131, type, n_1: $i).
0.20/0.53	thf(decl_143, type, n_pl: $i > $i > $i).
0.20/0.53	thf(decl_144, type, esk1_0: $i).
0.20/0.53	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.phAveQ8842/E---3.1_7919.p', def_all_of)).
0.20/0.53	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.phAveQ8842/E---3.1_7919.p', def_is_of)).
0.20/0.53	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.phAveQ8842/E---3.1_7919.p', def_e_is)).
0.20/0.53	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.phAveQ8842/E---3.1_7919.p', def_n_is)).
0.20/0.53	thf(satz4g, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((n_is @ (ordsucc @ X1) @ (n_pl @ n_1 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.phAveQ8842/E---3.1_7919.p', satz4g)).
0.20/0.53	thf(satz4c, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((n_is @ (n_pl @ n_1 @ X1) @ (ordsucc @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.phAveQ8842/E---3.1_7919.p', satz4c)).
0.20/0.53	thf(c_0_6, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.20/0.53	thf(c_0_7, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.20/0.53	thf(c_0_8, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.20/0.53	thf(c_0_9, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_6, c_0_7])).
0.20/0.53	thf(c_0_10, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_8])).
0.20/0.53	thf(c_0_11, negated_conjecture, ~(![X279:$i]:(((in @ X279 @ nat)=>((ordsucc @ X279)=(n_pl @ n_1 @ X279))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz4g])]), c_0_9]), c_0_10])).
0.20/0.53	thf(c_0_12, plain, ![X284:$i]:(((in @ X284 @ nat)=>((n_pl @ n_1 @ X284)=(ordsucc @ X284)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4c]), c_0_9]), c_0_10])).
0.20/0.53	thf(c_0_13, negated_conjecture, ((in @ esk1_0 @ nat)&((ordsucc @ esk1_0)!=(n_pl @ n_1 @ esk1_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])).
0.20/0.53	thf(c_0_14, plain, ![X348:$i]:((~(in @ X348 @ nat)|((n_pl @ n_1 @ X348)=(ordsucc @ X348)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
0.20/0.53	thf(c_0_15, negated_conjecture, ((ordsucc @ esk1_0)!=(n_pl @ n_1 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
0.20/0.53	thf(c_0_16, plain, ![X1:$i]:((((n_pl @ n_1 @ X1)=(ordsucc @ X1))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_14])).
0.20/0.53	thf(c_0_17, negated_conjecture, (in @ esk1_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_13])).
0.20/0.53	thf(c_0_18, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])]), ['proof']).
0.20/0.53	# SZS output end CNFRefutation
0.20/0.53	# Parsed axioms                        : 313
0.20/0.53	# Removed by relevancy pruning/SinE    : 244
0.20/0.53	# Initial clauses                      : 108
0.20/0.53	# Removed in clause preprocessing      : 3
0.20/0.53	# Initial clauses in saturation        : 105
0.20/0.53	# Processed clauses                    : 123
0.20/0.53	# ...of these trivial                  : 4
0.20/0.53	# ...subsumed                          : 6
0.20/0.53	# ...remaining for further processing  : 113
0.20/0.53	# Other redundant clauses eliminated   : 2
0.20/0.53	# Clauses deleted for lack of memory   : 0
0.20/0.53	# Backward-subsumed                    : 0
0.20/0.53	# Backward-rewritten                   : 0
0.20/0.53	# Generated clauses                    : 7
0.20/0.53	# ...of the previous two non-redundant : 4
0.20/0.53	# ...aggressively subsumed             : 0
0.20/0.53	# Contextual simplify-reflections      : 0
0.20/0.53	# Paramodulations                      : 4
0.20/0.53	# Factorizations                       : 0
0.20/0.53	# NegExts                              : 0
0.20/0.53	# Equation resolutions                 : 2
0.20/0.53	# Disequality decompositions           : 0
0.20/0.53	# Total rewrite steps                  : 16
0.20/0.53	# ...of those cached                   : 5
0.20/0.53	# Propositional unsat checks           : 0
0.20/0.53	#    Propositional check models        : 0
0.20/0.53	#    Propositional check unsatisfiable : 0
0.20/0.53	#    Propositional clauses             : 0
0.20/0.53	#    Propositional clauses after purity: 0
0.20/0.53	#    Propositional unsat core size     : 0
0.20/0.53	#    Propositional preprocessing time  : 0.000
0.20/0.53	#    Propositional encoding time       : 0.000
0.20/0.53	#    Propositional solver time         : 0.000
0.20/0.53	#    Success case prop preproc time    : 0.000
0.20/0.53	#    Success case prop encoding time   : 0.000
0.20/0.53	#    Success case prop solver time     : 0.000
0.20/0.53	# Current number of processed clauses  : 17
0.20/0.53	#    Positive orientable unit clauses  : 7
0.20/0.53	#    Positive unorientable unit clauses: 0
0.20/0.53	#    Negative unit clauses             : 5
0.20/0.53	#    Non-unit-clauses                  : 5
0.20/0.53	# Current number of unprocessed clauses: 81
0.20/0.53	# ...number of literals in the above   : 244
0.20/0.53	# Current number of archived formulas  : 0
0.20/0.53	# Current number of archived clauses   : 95
0.20/0.53	# Clause-clause subsumption calls (NU) : 690
0.20/0.53	# Rec. Clause-clause subsumption calls : 238
0.20/0.53	# Non-unit clause-clause subsumptions  : 6
0.20/0.53	# Unit Clause-clause subsumption calls : 10
0.20/0.53	# Rewrite failures with RHS unbound    : 0
0.20/0.53	# BW rewrite match attempts            : 1
0.20/0.53	# BW rewrite match successes           : 0
0.20/0.53	# Condensation attempts                : 123
0.20/0.53	# Condensation successes               : 0
0.20/0.53	# Termbank termtop insertions          : 15183
0.20/0.53	# Search garbage collected termcells   : 4538
0.20/0.53	
0.20/0.53	# -------------------------------------------------
0.20/0.53	# User time                : 0.026 s
0.20/0.53	# System time              : 0.001 s
0.20/0.53	# Total time               : 0.027 s
0.20/0.53	# Maximum resident set size: 3000 pages
0.20/0.54	
0.20/0.54	# -------------------------------------------------
0.20/0.54	# User time                : 0.035 s
0.20/0.54	# System time              : 0.002 s
0.20/0.54	# Total time               : 0.037 s
0.20/0.54	# Maximum resident set size: 2148 pages
0.20/0.54	% E exiting
0.20/0.54	% E exiting
0.20/0.54	EOF