0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.09/0.30	% Computer : n007.cluster.edu
0.09/0.30	% Model    : x86_64 x86_64
0.09/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory   : 8042.1875MB
0.09/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1920
0.09/0.30	% WCLimit    : 240
0.09/0.30	% DateTime   : Wed Jul 30 06:26:04 EDT 2025
0.09/0.30	% CPUTime    : 
0.14/0.41	Running higher-order theorem proving
0.14/0.46	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.jXIS1i37pV/E---3.1_13887.p
0.14/0.54	# Version: 3.0.0-ho
0.14/0.54	# Preprocessing class: HSLMSMSMLLLCHSA.
0.14/0.54	# Scheduled 5 strats onto 8 cores with 240 seconds (1920 total)
0.14/0.54	# Starting pre_casc_4 with 960s (4) cores
0.14/0.54	# Starting full_lambda_6 with 240s (1) cores
0.14/0.54	# Starting sh10 with 240s (1) cores
0.14/0.54	# Starting post_as_ho9 with 240s (1) cores
0.14/0.54	# Starting post_as_ho8 with 240s (1) cores
0.14/0.54	# post_as_ho9 with pid 13968 completed with status 0
0.14/0.54	# Result found by post_as_ho9
0.14/0.54	# Preprocessing class: HSLMSMSMLLLCHSA.
0.14/0.54	# Scheduled 5 strats onto 8 cores with 240 seconds (1920 total)
0.14/0.54	# Starting pre_casc_4 with 960s (4) cores
0.14/0.54	# Starting full_lambda_6 with 240s (1) cores
0.14/0.54	# Starting sh10 with 240s (1) cores
0.14/0.54	# Starting post_as_ho9 with 240s (1) cores
0.14/0.54	# SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
0.14/0.54	# Search class: HGHNF-FSLF21-DHSMMFBN
0.14/0.54	# partial match(4): HGHNF-FSLF11-SHSSMFNN
0.14/0.54	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.14/0.54	# Starting new_ho_10 with 44s (1) cores
0.14/0.54	# new_ho_10 with pid 13970 completed with status 0
0.14/0.54	# Result found by new_ho_10
0.14/0.54	# Preprocessing class: HSLMSMSMLLLCHSA.
0.14/0.54	# Scheduled 5 strats onto 8 cores with 240 seconds (1920 total)
0.14/0.54	# Starting pre_casc_4 with 960s (4) cores
0.14/0.54	# Starting full_lambda_6 with 240s (1) cores
0.14/0.54	# Starting sh10 with 240s (1) cores
0.14/0.54	# Starting post_as_ho9 with 240s (1) cores
0.14/0.54	# SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
0.14/0.54	# Search class: HGHNF-FSLF21-DHSMMFBN
0.14/0.54	# partial match(4): HGHNF-FSLF11-SHSSMFNN
0.14/0.54	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.14/0.54	# Starting new_ho_10 with 44s (1) cores
0.14/0.54	# Preprocessing time       : 0.009 s
0.14/0.54	# Presaturation interreduction done
0.14/0.54	
0.14/0.54	# Proof found!
0.14/0.54	# SZS status Theorem
0.14/0.54	# SZS output start CNFRefutation
0.14/0.54	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.14/0.54	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.14/0.54	thf(decl_26, type, in: $i > $i > $o).
0.14/0.54	thf(decl_28, type, emptyset: $i).
0.14/0.54	thf(decl_43, type, d_Sep: $i > ($i > $o) > $i).
0.14/0.54	thf(decl_50, type, omega: $i).
0.14/0.54	thf(decl_59, type, ap: $i > $i > $i).
0.14/0.54	thf(decl_61, type, d_Pi: $i > ($i > $i) > $i).
0.14/0.54	thf(decl_124, type, nat: $i).
0.14/0.54	thf(decl_128, type, n_some: ($i > $o) > $o).
0.14/0.54	thf(decl_148, type, diffprop: $i > $i > $i > $o).
0.14/0.54	thf(decl_149, type, d_29_ii: $i > $i > $o).
0.14/0.54	thf(decl_150, type, iii: $i > $i > $o).
0.14/0.54	thf(decl_162, type, times: $i > $i).
0.14/0.54	thf(decl_163, type, n_ts: $i > $i > $i).
0.14/0.54	thf(decl_168, type, d_1to: $i > $i).
0.14/0.54	thf(decl_173, type, n_2: $i).
0.14/0.54	thf(decl_177, type, pair1type: $i > $i).
0.14/0.54	thf(decl_179, type, first1: $i > $i > $i).
0.14/0.54	thf(decl_180, type, second1: $i > $i > $i).
0.14/0.54	thf(decl_190, type, frac: $i).
0.14/0.54	thf(decl_192, type, num: $i > $i).
0.14/0.54	thf(decl_193, type, den: $i > $i).
0.14/0.54	thf(decl_195, type, moref: $i > $i > $o).
0.14/0.54	thf(decl_196, type, lessf: $i > $i > $o).
0.14/0.54	thf(def_nat, axiom, ((nat)=(d_Sep @ omega @ (^[X1:$i]:(((X1)!=(emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_nat)).
0.14/0.54	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.jXIS1i37pV/E---3.1_13887.p', def_all_of)).
0.14/0.54	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_is_of)).
0.14/0.54	thf(def_pair1type, axiom, ((pair1type)=(^[X1:$i]:(d_Pi @ (d_1to @ n_2) @ (^[X207:$i]:(X1))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_pair1type)).
0.14/0.54	thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_moref)).
0.14/0.54	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_d_29_ii)).
0.14/0.54	thf(def_num, axiom, ((num)=(first1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_num)).
0.14/0.54	thf(def_den, axiom, ((den)=(second1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_den)).
0.14/0.54	thf(def_n_ts, axiom, ((n_ts)=(^[X1:$i]:(ap @ (times @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_n_ts)).
0.14/0.54	thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_lessf)).
0.14/0.54	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_iii)).
0.14/0.54	thf(def_frac, axiom, ((frac)=(d_Pi @ (d_1to @ n_2) @ (^[Z0/* 43 */:$i]:(d_Sep @ omega @ (^[Z1/* 4 */:$i]:(((Z1)!=(emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', def_frac)).
0.14/0.54	thf(satz42, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X319:$i]:((in @ X319 @ frac))) @ (^[X320:$i]:(((moref @ X1 @ X320)=>(lessf @ X320 @ X1)))))))), file('/export/starexec/sandbox2/tmp/tmp.jXIS1i37pV/E---3.1_13887.p', satz42)).
0.14/0.54	thf(c_0_13, plain, ((nat)=(d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset)))))), inference(fof_simplification,[status(thm)],[def_nat])).
0.14/0.54	thf(c_0_14, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.14/0.54	thf(c_0_15, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.14/0.54	thf(c_0_16, plain, ((pair1type)=(^[Z0/* 61 */:$i]:(d_Pi @ (d_1to @ n_2) @ (^[Z1/* 1 */:$i]:(Z0))))), inference(fof_simplification,[status(thm)],[def_pair1type])).
0.14/0.54	thf(c_0_17, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)) @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])).
0.14/0.54	thf(c_0_18, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.14/0.54	thf(c_0_19, axiom, ((num)=(first1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), inference(apply_def,[status(thm)],[def_num, c_0_13])).
0.14/0.54	thf(c_0_20, axiom, ((den)=(second1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), inference(apply_def,[status(thm)],[def_den, c_0_13])).
0.14/0.54	thf(c_0_21, plain, ((n_ts)=(^[Z0/* 59 */:$i]:(ap @ (times @ Z0)))), inference(fof_simplification,[status(thm)],[def_n_ts])).
0.14/0.54	thf(c_0_22, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)) @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)))))))), inference(fof_simplification,[status(thm)],[def_lessf])).
0.14/0.54	thf(c_0_23, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((n_some @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])).
0.14/0.54	thf(c_0_24, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])).
0.14/0.54	thf(c_0_25, axiom, ((frac)=(d_Pi @ (d_1to @ n_2) @ (^[Z0/* 43 */:$i]:(d_Sep @ omega @ (^[Z1/* 4 */:$i]:(((Z1)!=(emptyset)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_frac, c_0_13]), c_0_16])).
0.14/0.54	thf(c_0_26, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)) @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_20]), c_0_21])).
0.14/0.54	thf(c_0_27, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)) @ (ap @ (times @ (first1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z0)) @ (second1 @ (d_Sep @ omega @ (^[Z2/* 4 */:$i]:(((Z2)!=(emptyset))))) @ Z1)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22, c_0_19]), c_0_20]), c_0_21]), c_0_23])).
0.14/0.54	thf(c_0_28, negated_conjecture, ~(![X466:$i]:(((in @ X466 @ (d_Pi @ (d_1to @ n_2) @ (^[Z0/* 43 */:$i]:(d_Sep @ omega @ (^[Z1/* 7 */:$i]:(~(((Z1)=(emptyset)))))))))=>![X465:$i]:(($true))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz42])]), c_0_24]), c_0_25]), c_0_26]), c_0_27])])).
0.14/0.54	thf(c_0_29, negated_conjecture, ~($true), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_28])])).
0.14/0.54	thf(c_0_30, negated_conjecture, ~(($true)), inference(split_conjunct,[status(thm)],[c_0_29])).
0.14/0.54	thf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[c_0_30]), ['proof']).
0.14/0.54	# SZS output end CNFRefutation
0.14/0.54	# Parsed axioms                        : 544
0.14/0.54	# Removed by relevancy pruning/SinE    : 472
0.14/0.54	# Initial clauses                      : 514
0.14/0.54	# Removed in clause preprocessing      : 224
0.14/0.54	# Initial clauses in saturation        : 290
0.14/0.54	# Processed clauses                    : 1
0.14/0.54	# ...of these trivial                  : 0
0.14/0.54	# ...subsumed                          : 0
0.14/0.54	# ...remaining for further processing  : 0
0.14/0.54	# Other redundant clauses eliminated   : 0
0.14/0.54	# Clauses deleted for lack of memory   : 0
0.14/0.54	# Backward-subsumed                    : 0
0.14/0.54	# Backward-rewritten                   : 0
0.14/0.54	# Generated clauses                    : 0
0.14/0.54	# ...of the previous two non-redundant : 0
0.14/0.54	# ...aggressively subsumed             : 0
0.14/0.54	# Contextual simplify-reflections      : 0
0.14/0.54	# Paramodulations                      : 0
0.14/0.54	# Factorizations                       : 0
0.14/0.54	# NegExts                              : 0
0.14/0.54	# Equation resolutions                 : 0
0.14/0.54	# Disequality decompositions           : 0
0.14/0.54	# Total rewrite steps                  : 0
0.14/0.54	# ...of those cached                   : 0
0.14/0.54	# Propositional unsat checks           : 0
0.14/0.54	#    Propositional check models        : 0
0.14/0.54	#    Propositional check unsatisfiable : 0
0.14/0.54	#    Propositional clauses             : 0
0.14/0.54	#    Propositional clauses after purity: 0
0.14/0.54	#    Propositional unsat core size     : 0
0.14/0.54	#    Propositional preprocessing time  : 0.000
0.14/0.54	#    Propositional encoding time       : 0.000
0.14/0.54	#    Propositional solver time         : 0.000
0.14/0.54	#    Success case prop preproc time    : 0.000
0.14/0.54	#    Success case prop encoding time   : 0.000
0.14/0.54	#    Success case prop solver time     : 0.000
0.14/0.54	# Current number of processed clauses  : 0
0.14/0.54	#    Positive orientable unit clauses  : 0
0.14/0.54	#    Positive unorientable unit clauses: 0
0.14/0.54	#    Negative unit clauses             : 0
0.14/0.54	#    Non-unit-clauses                  : 0
0.14/0.54	# Current number of unprocessed clauses: 289
0.14/0.54	# ...number of literals in the above   : 1765
0.14/0.54	# Current number of archived formulas  : 0
0.14/0.54	# Current number of archived clauses   : 0
0.14/0.54	# Clause-clause subsumption calls (NU) : 0
0.14/0.54	# Rec. Clause-clause subsumption calls : 0
0.14/0.54	# Non-unit clause-clause subsumptions  : 0
0.14/0.54	# Unit Clause-clause subsumption calls : 0
0.14/0.54	# Rewrite failures with RHS unbound    : 0
0.14/0.54	# BW rewrite match attempts            : 0
0.14/0.54	# BW rewrite match successes           : 0
0.14/0.54	# Condensation attempts                : 1
0.14/0.54	# Condensation successes               : 0
0.14/0.54	# Termbank termtop insertions          : 99055
0.14/0.54	# Search garbage collected termcells   : 15689
0.14/0.54	
0.14/0.54	# -------------------------------------------------
0.14/0.54	# User time                : 0.053 s
0.14/0.54	# System time              : 0.008 s
0.14/0.54	# Total time               : 0.061 s
0.14/0.54	# Maximum resident set size: 4940 pages
0.14/0.54	
0.14/0.54	# -------------------------------------------------
0.14/0.54	# User time                : 0.063 s
0.14/0.54	# System time              : 0.013 s
0.14/0.54	# Total time               : 0.077 s
0.14/0.54	# Maximum resident set size: 2656 pages
0.14/0.54	% E exiting
0.14/0.55	% E exiting
0.14/0.55	EOF