0.10/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.32	% Computer : n023.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.33	% DateTime   : Wed Jul 30 08:23:49 EDT 2025
0.12/0.33	% CPUTime    : 
0.20/0.47	Running higher-order theorem proving
0.20/0.52	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.d5Monr0EYL/E---3.1_27792.p
0.88/0.84	# Version: 3.0.0-ho
0.88/0.84	# Preprocessing class: HSLMSMSMLMLCHSA.
0.88/0.84	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.88/0.84	# Starting new_ho_10 with 1200s (5) cores
0.88/0.84	# Starting ho_unfolding_6 with 240s (1) cores
0.88/0.84	# Starting sh4l with 240s (1) cores
0.88/0.84	# Starting ehoh_best_nonlift_nonlambdatoforall with 240s (1) cores
0.88/0.84	# new_ho_10 with pid 27870 completed with status 0
0.88/0.84	# Result found by new_ho_10
0.88/0.84	# Preprocessing class: HSLMSMSMLMLCHSA.
0.88/0.84	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.88/0.84	# Starting new_ho_10 with 1200s (5) cores
0.88/0.84	# No SInE strategy applied
0.88/0.84	# Search class: HGHSM-FSLM32-MHSMSSBN
0.88/0.84	# Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total)
0.88/0.84	# Starting new_ho_10 with 721s (1) cores
0.88/0.84	# Starting ho_unfolding_6 with 121s (1) cores
0.88/0.84	# Starting sh4l with 121s (1) cores
0.88/0.84	# Starting ehoh_best_nonlift_nonlambdatoforall with 121s (1) cores
0.88/0.84	# Starting full_lambda_8 with 116s (1) cores
0.88/0.84	# ho_unfolding_6 with pid 27875 completed with status 0
0.88/0.84	# Result found by ho_unfolding_6
0.88/0.84	# Preprocessing class: HSLMSMSMLMLCHSA.
0.88/0.84	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.88/0.84	# Starting new_ho_10 with 1200s (5) cores
0.88/0.84	# No SInE strategy applied
0.88/0.84	# Search class: HGHSM-FSLM32-MHSMSSBN
0.88/0.84	# Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total)
0.88/0.84	# Starting new_ho_10 with 721s (1) cores
0.88/0.84	# Starting ho_unfolding_6 with 121s (1) cores
0.88/0.84	# Preprocessing time       : 0.021 s
0.88/0.84	
0.88/0.84	# Proof found!
0.88/0.84	# SZS status Theorem
0.88/0.84	# SZS output start CNFRefutation
0.88/0.84	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.88/0.84	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.88/0.84	thf(decl_26, type, in: $i > $i > $o).
0.88/0.84	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.88/0.84	thf(decl_124, type, nat: $i).
0.88/0.84	thf(decl_125, type, n_is: $i > $i > $o).
0.88/0.84	thf(decl_163, type, n_ts: $i > $i > $i).
0.88/0.84	thf(decl_190, type, frac: $i).
0.88/0.84	thf(decl_191, type, n_fr: $i > $i > $i).
0.88/0.84	thf(decl_192, type, num: $i > $i).
0.88/0.84	thf(decl_193, type, den: $i > $i).
0.88/0.84	thf(decl_194, type, n_eq: $i > $i > $o).
0.88/0.84	thf(decl_248, type, esk50_0: $i).
0.88/0.84	thf(decl_249, type, esk51_0: $i).
0.88/0.84	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.d5Monr0EYL/E---3.1_27792.p', def_e_is)).
0.88/0.84	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.d5Monr0EYL/E---3.1_27792.p', def_all_of)).
0.88/0.84	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.d5Monr0EYL/E---3.1_27792.p', def_is_of)).
0.88/0.84	thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.d5Monr0EYL/E---3.1_27792.p', def_n_eq)).
0.88/0.84	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.d5Monr0EYL/E---3.1_27792.p', def_n_is)).
0.88/0.84	thf(satz40a, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X269:$i]:((in @ X269 @ nat))) @ (^[X270:$i]:((n_eq @ (n_fr @ (n_ts @ (num @ X1) @ X270) @ (n_ts @ (den @ X1) @ X270)) @ X1))))))), file('/export/starexec/sandbox2/tmp/tmp.d5Monr0EYL/E---3.1_27792.p', satz40a)).
0.88/0.84	thf(satz40, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X375:$i]:((in @ X375 @ nat))) @ (^[X376:$i]:((n_eq @ X1 @ (n_fr @ (n_ts @ (num @ X1) @ X376) @ (n_ts @ (den @ X1) @ X376))))))))), file('/export/starexec/sandbox2/tmp/tmp.d5Monr0EYL/E---3.1_27792.p', satz40)).
0.88/0.84	thf(c_0_7, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.88/0.84	thf(c_0_8, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.88/0.84	thf(c_0_9, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.88/0.84	thf(c_0_10, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(fof_simplification,[status(thm)],[def_n_eq])).
0.88/0.84	thf(c_0_11, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_7])).
0.88/0.84	thf(c_0_12, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])).
0.88/0.84	thf(c_0_13, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(apply_def,[status(thm)],[c_0_10, c_0_11])).
0.88/0.84	thf(c_0_14, negated_conjecture, ~(![X846:$i]:(((in @ X846 @ frac)=>![X845:$i]:(((in @ X845 @ nat)=>((n_ts @ (num @ (n_fr @ (n_ts @ (num @ X846) @ X845) @ (n_ts @ (den @ X846) @ X845))) @ (den @ X846))=(n_ts @ (num @ X846) @ (den @ (n_fr @ (n_ts @ (num @ X846) @ X845) @ (n_ts @ (den @ X846) @ X845)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz40a])]), c_0_12]), c_0_13])).
0.88/0.84	thf(c_0_15, plain, ![X1091:$i]:(((in @ X1091 @ frac)=>![X1090:$i]:(((in @ X1090 @ nat)=>((n_ts @ (num @ X1091) @ (den @ (n_fr @ (n_ts @ (num @ X1091) @ X1090) @ (n_ts @ (den @ X1091) @ X1090))))=(n_ts @ (num @ (n_fr @ (n_ts @ (num @ X1091) @ X1090) @ (n_ts @ (den @ X1091) @ X1090))) @ (den @ X1091))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz40]), c_0_12]), c_0_13])).
0.88/0.84	thf(c_0_16, negated_conjecture, ((in @ esk50_0 @ frac)&((in @ esk51_0 @ nat)&((n_ts @ (num @ (n_fr @ (n_ts @ (num @ esk50_0) @ esk51_0) @ (n_ts @ (den @ esk50_0) @ esk51_0))) @ (den @ esk50_0))!=(n_ts @ (num @ esk50_0) @ (den @ (n_fr @ (n_ts @ (num @ esk50_0) @ esk51_0) @ (n_ts @ (den @ esk50_0) @ esk51_0))))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])).
0.88/0.84	thf(c_0_17, plain, ![X2178:$i, X2179:$i]:((~(in @ X2178 @ frac)|(~(in @ X2179 @ nat)|((n_ts @ (num @ X2178) @ (den @ (n_fr @ (n_ts @ (num @ X2178) @ X2179) @ (n_ts @ (den @ X2178) @ X2179))))=(n_ts @ (num @ (n_fr @ (n_ts @ (num @ X2178) @ X2179) @ (n_ts @ (den @ X2178) @ X2179))) @ (den @ X2178)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])).
0.88/0.84	thf(c_0_18, negated_conjecture, ((n_ts @ (num @ (n_fr @ (n_ts @ (num @ esk50_0) @ esk51_0) @ (n_ts @ (den @ esk50_0) @ esk51_0))) @ (den @ esk50_0))!=(n_ts @ (num @ esk50_0) @ (den @ (n_fr @ (n_ts @ (num @ esk50_0) @ esk51_0) @ (n_ts @ (den @ esk50_0) @ esk51_0))))), inference(split_conjunct,[status(thm)],[c_0_16])).
0.88/0.84	thf(c_0_19, plain, ![X1:$i, X4:$i]:((((n_ts @ (num @ X1) @ (den @ (n_fr @ (n_ts @ (num @ X1) @ X4) @ (n_ts @ (den @ X1) @ X4))))=(n_ts @ (num @ (n_fr @ (n_ts @ (num @ X1) @ X4) @ (n_ts @ (den @ X1) @ X4))) @ (den @ X1)))|~((in @ X1 @ frac))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_17])).
0.88/0.84	thf(c_0_20, negated_conjecture, (in @ esk51_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_16])).
0.88/0.84	thf(c_0_21, negated_conjecture, (in @ esk50_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_16])).
0.88/0.84	thf(c_0_22, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21])]), ['proof']).
0.88/0.84	# SZS output end CNFRefutation
0.88/0.84	# Parsed axioms                        : 534
0.88/0.84	# Removed by relevancy pruning/SinE    : 0
0.88/0.84	# Initial clauses                      : 1743
0.88/0.84	# Removed in clause preprocessing      : 1123
0.88/0.84	# Initial clauses in saturation        : 620
0.88/0.84	# Processed clauses                    : 400
0.88/0.84	# ...of these trivial                  : 4
0.88/0.84	# ...subsumed                          : 21
0.88/0.84	# ...remaining for further processing  : 375
0.88/0.84	# Other redundant clauses eliminated   : 201
0.88/0.84	# Clauses deleted for lack of memory   : 0
0.88/0.84	# Backward-subsumed                    : 0
0.88/0.84	# Backward-rewritten                   : 0
0.88/0.84	# Generated clauses                    : 4441
0.88/0.84	# ...of the previous two non-redundant : 4252
0.88/0.84	# ...aggressively subsumed             : 0
0.88/0.84	# Contextual simplify-reflections      : 0
0.88/0.84	# Paramodulations                      : 3998
0.88/0.84	# Factorizations                       : 18
0.88/0.84	# NegExts                              : 0
0.88/0.84	# Equation resolutions                 : 203
0.88/0.84	# Disequality decompositions           : 0
0.88/0.84	# Total rewrite steps                  : 252
0.88/0.84	# ...of those cached                   : 158
0.88/0.84	# Propositional unsat checks           : 0
0.88/0.84	#    Propositional check models        : 0
0.88/0.84	#    Propositional check unsatisfiable : 0
0.88/0.84	#    Propositional clauses             : 0
0.88/0.84	#    Propositional clauses after purity: 0
0.88/0.84	#    Propositional unsat core size     : 0
0.88/0.84	#    Propositional preprocessing time  : 0.000
0.88/0.84	#    Propositional encoding time       : 0.000
0.88/0.84	#    Propositional solver time         : 0.000
0.88/0.84	#    Success case prop preproc time    : 0.000
0.88/0.84	#    Success case prop encoding time   : 0.000
0.88/0.84	#    Success case prop solver time     : 0.000
0.88/0.84	# Current number of processed clauses  : 311
0.88/0.84	#    Positive orientable unit clauses  : 90
0.88/0.84	#    Positive unorientable unit clauses: 9
0.88/0.84	#    Negative unit clauses             : 3
0.88/0.84	#    Non-unit-clauses                  : 209
0.88/0.84	# Current number of unprocessed clauses: 4457
0.88/0.84	# ...number of literals in the above   : 17696
0.88/0.84	# Current number of archived formulas  : 0
0.88/0.84	# Current number of archived clauses   : 0
0.88/0.84	# Clause-clause subsumption calls (NU) : 26019
0.88/0.84	# Rec. Clause-clause subsumption calls : 4646
0.88/0.84	# Non-unit clause-clause subsumptions  : 21
0.88/0.84	# Unit Clause-clause subsumption calls : 1182
0.88/0.84	# Rewrite failures with RHS unbound    : 0
0.88/0.84	# BW rewrite match attempts            : 23
0.88/0.84	# BW rewrite match successes           : 6
0.88/0.84	# Condensation attempts                : 400
0.88/0.84	# Condensation successes               : 0
0.88/0.84	# Termbank termtop insertions          : 376285
0.88/0.84	# Search garbage collected termcells   : 73258
0.88/0.84	
0.88/0.84	# -------------------------------------------------
0.88/0.84	# User time                : 0.255 s
0.88/0.84	# System time              : 0.036 s
0.88/0.84	# Total time               : 0.291 s
0.88/0.84	# Maximum resident set size: 12112 pages
0.88/0.84	
0.88/0.84	# -------------------------------------------------
0.88/0.84	# User time                : 0.870 s
0.88/0.84	# System time              : 0.081 s
0.88/0.84	# Total time               : 0.952 s
0.88/0.84	# Maximum resident set size: 2640 pages
0.88/0.84	% E exiting
0.88/0.85	% E exiting
0.88/0.85	EOF