0.12/0.18	% Problem    : Vampire---4.8_20260 : TPTP v0.0.0. Released v0.0.0.
0.17/0.19	% Command    : run_E %s %d THM
0.19/0.40	% Computer : n013.cluster.edu
0.19/0.40	% Model    : x86_64 x86_64
0.19/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.19/0.40	% Memory   : 8042.1875MB
0.19/0.40	% OS       : Linux 3.10.0-693.el7.x86_64
0.19/0.40	% CPULimit   : 1440
0.19/0.40	% WCLimit    : 180
0.19/0.40	% DateTime   : Mon Jul  3 13:02:32 EDT 2023
0.19/0.40	% CPUTime    : 
0.42/0.63	Running higher-order theorem provingRunning: /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=180 /export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260
0.42/0.63	# Version: 3.1pre001-ho
0.48/0.70	# Preprocessing class: HSLMSMSMLLLCHSA.
0.48/0.70	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.48/0.70	# Starting pre_casc_4 with 720s (4) cores
0.48/0.70	# Starting full_lambda_6 with 180s (1) cores
0.48/0.70	# Starting sh10 with 180s (1) cores
0.48/0.70	# Starting post_as_ho9 with 180s (1) cores
0.48/0.70	# Starting post_as_ho8 with 180s (1) cores
0.48/0.70	# post_as_ho9 with pid 20629 completed with status 0
0.48/0.70	# Result found by post_as_ho9
0.48/0.70	# Preprocessing class: HSLMSMSMLLLCHSA.
0.48/0.70	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.48/0.70	# Starting pre_casc_4 with 720s (4) cores
0.48/0.70	# Starting full_lambda_6 with 180s (1) cores
0.48/0.70	# Starting sh10 with 180s (1) cores
0.48/0.70	# Starting post_as_ho9 with 180s (1) cores
0.48/0.70	# SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
0.48/0.70	# Search class: HGHNF-FSLF21-DHSMMFBN
0.48/0.70	# partial match(4): HGHNF-FSLF11-SHSSMFNN
0.48/0.70	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.48/0.70	# Starting new_ho_10 with 33s (1) cores
0.48/0.70	# new_ho_10 with pid 20653 completed with status 0
0.48/0.70	# Result found by new_ho_10
0.48/0.70	# Preprocessing class: HSLMSMSMLLLCHSA.
0.48/0.70	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.48/0.70	# Starting pre_casc_4 with 720s (4) cores
0.48/0.70	# Starting full_lambda_6 with 180s (1) cores
0.48/0.70	# Starting sh10 with 180s (1) cores
0.48/0.70	# Starting post_as_ho9 with 180s (1) cores
0.48/0.70	# SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
0.48/0.70	# Search class: HGHNF-FSLF21-DHSMMFBN
0.48/0.70	# partial match(4): HGHNF-FSLF11-SHSSMFNN
0.48/0.70	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.48/0.70	# Starting new_ho_10 with 33s (1) cores
0.48/0.70	# Preprocessing time       : 0.010 s
0.48/0.70	# Presaturation interreduction done
0.48/0.70	
0.48/0.70	# Proof found!
0.48/0.70	# SZS status Theorem
0.48/0.70	# SZS output start CNFRefutation
0.48/0.70	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
0.48/0.70	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
0.48/0.70	thf(decl_25, type, in: $i > $i > $o).
0.48/0.70	thf(decl_27, type, emptyset: $i).
0.48/0.70	thf(decl_42, type, d_Sep: $i > ($i > $o) > $i).
0.48/0.70	thf(decl_49, type, omega: $i).
0.48/0.70	thf(decl_58, type, ap: $i > $i > $i).
0.48/0.70	thf(decl_60, type, d_Pi: $i > ($i > $i) > $i).
0.48/0.70	thf(decl_123, type, nat: $i).
0.48/0.70	thf(decl_127, type, n_some: ($i > $o) > $o).
0.48/0.70	thf(decl_147, type, diffprop: $i > $i > $i > $o).
0.48/0.70	thf(decl_148, type, d_29_ii: $i > $i > $o).
0.48/0.70	thf(decl_149, type, iii: $i > $i > $o).
0.48/0.70	thf(decl_161, type, times: $i > $i).
0.48/0.70	thf(decl_162, type, n_ts: $i > $i > $i).
0.48/0.70	thf(decl_167, type, d_1to: $i > $i).
0.48/0.70	thf(decl_172, type, n_2: $i).
0.48/0.70	thf(decl_176, type, pair1type: $i > $i).
0.48/0.70	thf(decl_178, type, first1: $i > $i > $i).
0.48/0.70	thf(decl_179, type, second1: $i > $i > $i).
0.48/0.70	thf(decl_189, type, frac: $i).
0.48/0.70	thf(decl_191, type, num: $i > $i).
0.48/0.70	thf(decl_192, type, den: $i > $i).
0.48/0.70	thf(decl_194, type, moref: $i > $i > $o).
0.48/0.70	thf(decl_195, type, lessf: $i > $i > $o).
0.48/0.70	thf(def_nat, axiom, ((nat)=(d_Sep @ omega @ (^[X1:$i]:(((X1)!=(emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_nat)).
0.48/0.70	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_all_of)).
0.48/0.70	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_is_of)).
0.48/0.70	thf(def_pair1type, axiom, ((pair1type)=(^[X1:$i]:(d_Pi @ (d_1to @ n_2) @ (^[X207:$i]:(X1))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_pair1type)).
0.48/0.70	thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_moref)).
0.48/0.70	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_d_29_ii)).
0.48/0.70	thf(def_num, axiom, ((num)=(first1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_num)).
0.48/0.70	thf(def_den, axiom, ((den)=(second1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_den)).
0.48/0.70	thf(def_n_ts, axiom, ((n_ts)=(^[X1:$i]:(ap @ (times @ X1)))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_n_ts)).
0.48/0.70	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/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_lessf)).
0.48/0.70	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_iii)).
0.48/0.70	thf(def_frac, axiom, ((frac)=(d_Pi @ (d_1to @ n_2) @ (^[Z0/* 42 */:$i]:(d_Sep @ omega @ (^[Z1/* 4 */:$i]:(((Z1)!=(emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', def_frac)).
0.48/0.70	thf(satz42, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X313:$i]:((in @ X313 @ frac))) @ (^[X314:$i]:(((moref @ X1 @ X314)=>(lessf @ X314 @ X1)))))))), file('/export/starexec/sandbox/tmp/tmp.0r9QX2ngaM/Vampire---4.8_20260', satz42)).
0.48/0.70	thf(c_0_13, plain, ((nat)=(d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset)))))), inference(fof_simplification,[status(thm)],[def_nat])).
0.48/0.70	thf(c_0_14, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.48/0.70	thf(c_0_15, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.48/0.70	thf(c_0_16, plain, ((pair1type)=(^[Z0/* 60 */:$i]:(d_Pi @ (d_1to @ n_2) @ (^[Z1/* 1 */:$i]:(Z0))))), inference(fof_simplification,[status(thm)],[def_pair1type])).
0.48/0.70	thf(c_0_17, plain, ((moref)=(^[Z0/* 19 */:$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 */:$i]:(((Z2)!=(emptyset))))) @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])).
0.48/0.70	thf(c_0_18, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.48/0.70	thf(c_0_19, axiom, ((num)=(first1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), inference(apply_def,[status(thm)],[def_num, c_0_13])).
0.48/0.70	thf(c_0_20, axiom, ((den)=(second1 @ (d_Sep @ omega @ (^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))))), inference(apply_def,[status(thm)],[def_den, c_0_13])).
0.48/0.70	thf(c_0_21, plain, ((n_ts)=(^[Z0/* 58 */:$i]:(ap @ (times @ Z0)))), inference(fof_simplification,[status(thm)],[def_n_ts])).
0.48/0.70	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])).
0.48/0.70	thf(c_0_23, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((n_some @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])).
0.48/0.70	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])).
0.48/0.70	thf(c_0_25, axiom, ((frac)=(d_Pi @ (d_1to @ n_2) @ (^[Z0/* 42 */:$i]:(d_Sep @ omega @ (^[Z1/* 4 */:$i]:(((Z1)!=(emptyset)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_frac, c_0_13]), c_0_16])).
0.48/0.70	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])).
0.48/0.70	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])).
0.48/0.70	thf(c_0_28, negated_conjecture, ~(![X466:$i]:(((in @ X466 @ (d_Pi @ (d_1to @ n_2) @ (^[Z0/* 42 */:$i]:(d_Sep @ omega @ (^[Z1/* 4 */:$i]:(((Z1)!=(emptyset))))))))=>![X465:$i]:(($true))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz42])]), c_0_24]), c_0_25]), c_0_26]), c_0_27])])).
0.48/0.70	thf(c_0_29, negated_conjecture, ~($true), inference(fof_simplification,[status(thm)],[c_0_28])).
0.48/0.70	thf(c_0_30, negated_conjecture, ~(($true)), inference(split_conjunct,[status(thm)],[c_0_29])).
0.48/0.70	thf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[c_0_30]), ['proof']).
0.48/0.70	# SZS output end CNFRefutation
0.48/0.70	# Parsed axioms                        : 544
0.48/0.70	# Removed by relevancy pruning/SinE    : 472
0.48/0.70	# Initial clauses                      : 514
0.48/0.70	# Removed in clause preprocessing      : 224
0.48/0.70	# Initial clauses in saturation        : 290
0.48/0.70	# Processed clauses                    : 1
0.48/0.70	# ...of these trivial                  : 0
0.48/0.70	# ...subsumed                          : 0
0.48/0.70	# ...remaining for further processing  : 0
0.48/0.70	# Other redundant clauses eliminated   : 0
0.48/0.70	# Clauses deleted for lack of memory   : 0
0.48/0.70	# Backward-subsumed                    : 0
0.48/0.70	# Backward-rewritten                   : 0
0.48/0.70	# Generated clauses                    : 0
0.48/0.70	# ...of the previous two non-redundant : 0
0.48/0.70	# ...aggressively subsumed             : 0
0.48/0.70	# Contextual simplify-reflections      : 0
0.48/0.70	# Paramodulations                      : 0
0.48/0.70	# Factorizations                       : 0
0.48/0.70	# NegExts                              : 0
0.48/0.70	# Equation resolutions                 : 0
0.48/0.70	# Total rewrite steps                  : 0
0.48/0.70	# Propositional unsat checks           : 0
0.48/0.70	#    Propositional check models        : 0
0.48/0.70	#    Propositional check unsatisfiable : 0
0.48/0.70	#    Propositional clauses             : 0
0.48/0.70	#    Propositional clauses after purity: 0
0.48/0.70	#    Propositional unsat core size     : 0
0.48/0.70	#    Propositional preprocessing time  : 0.000
0.48/0.70	#    Propositional encoding time       : 0.000
0.48/0.70	#    Propositional solver time         : 0.000
0.48/0.70	#    Success case prop preproc time    : 0.000
0.48/0.70	#    Success case prop encoding time   : 0.000
0.48/0.70	#    Success case prop solver time     : 0.000
0.48/0.70	# Current number of processed clauses  : 0
0.48/0.70	#    Positive orientable unit clauses  : 0
0.48/0.70	#    Positive unorientable unit clauses: 0
0.48/0.70	#    Negative unit clauses             : 0
0.48/0.70	#    Non-unit-clauses                  : 0
0.48/0.70	# Current number of unprocessed clauses: 289
0.48/0.70	# ...number of literals in the above   : 1765
0.48/0.70	# Current number of archived formulas  : 0
0.48/0.70	# Current number of archived clauses   : 0
0.48/0.70	# Clause-clause subsumption calls (NU) : 0
0.48/0.70	# Rec. Clause-clause subsumption calls : 0
0.48/0.70	# Non-unit clause-clause subsumptions  : 0
0.48/0.70	# Unit Clause-clause subsumption calls : 0
0.48/0.70	# Rewrite failures with RHS unbound    : 0
0.48/0.70	# BW rewrite match attempts            : 0
0.48/0.70	# BW rewrite match successes           : 0
0.48/0.70	# Condensation attempts                : 1
0.48/0.70	# Condensation successes               : 0
0.48/0.70	# Termbank termtop insertions          : 87500
0.48/0.70	
0.48/0.70	# -------------------------------------------------
0.48/0.70	# User time                : 0.048 s
0.48/0.70	# System time              : 0.011 s
0.48/0.70	# Total time               : 0.059 s
0.48/0.70	# Maximum resident set size: 4804 pages
0.48/0.70	
0.48/0.70	# -------------------------------------------------
0.48/0.70	# User time                : 0.057 s
0.48/0.70	# System time              : 0.013 s
0.48/0.70	# Total time               : 0.070 s
0.48/0.70	# Maximum resident set size: 2648 pages
0.48/0.71	% E---3.1 exiting
0.84/0.71	EOF