0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.12	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.10/0.32	% Computer : n022.cluster.edu
0.10/0.32	% Model    : x86_64 x86_64
0.10/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	% Memory   : 8042.1875MB
0.10/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit   : 1920
0.10/0.32	% WCLimit    : 240
0.10/0.32	% DateTime   : Wed Jul 30 05:48:19 EDT 2025
0.10/0.32	% CPUTime    : 
0.17/0.45	Running higher-order theorem proving
0.17/0.46	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.XTyP9aOm1J/E---3.1_20502.p
0.62/0.56	# Version: 3.0.0-ho
0.62/0.56	# partial match(1): HSMSSMSSSSSNSFA
0.62/0.56	# Preprocessing class: HSMSSMSSSSSCSFA.
0.62/0.56	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.62/0.56	# Starting new_ho_14 with 960s (4) cores
0.62/0.56	# Starting new_ho_13 with 480s (2) cores
0.62/0.56	# Starting new_ho_10_cnf2 with 240s (1) cores
0.62/0.56	# Starting new_bool_3 with 240s (1) cores
0.62/0.56	# new_ho_14 with pid 20581 completed with status 0
0.62/0.56	# Result found by new_ho_14
0.62/0.56	# partial match(1): HSMSSMSSSSSNSFA
0.62/0.56	# Preprocessing class: HSMSSMSSSSSCSFA.
0.62/0.56	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.62/0.56	# Starting new_ho_14 with 960s (4) cores
0.62/0.56	# SinE strategy is gf500_gu_R04_F100_L20000
0.62/0.56	# Search class: HHUSM-FFSF21-MSFFFFBN
0.62/0.56	# partial match(2): HHUSM-FFSF21-MSFSMFBN
0.62/0.56	# Scheduled 6 strats onto 4 cores with 960 seconds (960 total)
0.62/0.56	# Starting new_ho_10 with 519s (1) cores
0.62/0.56	# Starting new_ho_14 with 97s (1) cores
0.62/0.56	# Starting new_bool_1 with 87s (1) cores
0.62/0.56	# Starting new_bool_2 with 87s (1) cores
0.62/0.56	# new_bool_1 with pid 20591 completed with status 0
0.62/0.56	# Result found by new_bool_1
0.62/0.56	# partial match(1): HSMSSMSSSSSNSFA
0.62/0.56	# Preprocessing class: HSMSSMSSSSSCSFA.
0.62/0.56	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.62/0.56	# Starting new_ho_14 with 960s (4) cores
0.62/0.56	# SinE strategy is gf500_gu_R04_F100_L20000
0.62/0.56	# Search class: HHUSM-FFSF21-MSFFFFBN
0.62/0.56	# partial match(2): HHUSM-FFSF21-MSFSMFBN
0.62/0.56	# Scheduled 6 strats onto 4 cores with 960 seconds (960 total)
0.62/0.56	# Starting new_ho_10 with 519s (1) cores
0.62/0.56	# Starting new_ho_14 with 97s (1) cores
0.62/0.56	# Starting new_bool_1 with 87s (1) cores
0.62/0.56	# Preprocessing time       : 0.001 s
0.62/0.56	# Presaturation interreduction done
0.62/0.56	
0.62/0.56	# Proof found!
0.62/0.56	# SZS status Theorem
0.62/0.56	# SZS output start CNFRefutation
0.62/0.56	thf(decl_sort1, type, frac: $tType).
0.62/0.56	thf(decl_sort2, type, nat: $tType).
0.62/0.56	thf(decl_23, type, x: frac).
0.62/0.56	thf(decl_24, type, y: frac).
0.62/0.56	thf(decl_25, type, ts: nat > nat > nat).
0.62/0.56	thf(decl_26, type, num: frac > nat).
0.62/0.56	thf(decl_27, type, den: frac > nat).
0.62/0.56	thf(decl_28, type, pl: nat > nat > nat).
0.62/0.56	thf(decl_29, type, eq: frac > frac > $o).
0.62/0.56	thf(decl_30, type, pf: frac > frac > frac).
0.62/0.56	thf(decl_31, type, fr: nat > nat > frac).
0.62/0.56	thf(decl_34, type, esk1_0: nat).
0.62/0.56	thf(satz39, axiom, ![X1:frac, X2:frac, X3:frac]:((((eq @ X2 @ X3)=>(eq @ X1 @ X3))<=(eq @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz39)).
0.62/0.56	thf(m, axiom, ~(![X12:nat]:(((ts @ (num @ x) @ (den @ y))!=(pl @ (ts @ (num @ y) @ (den @ x)) @ X12)))), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', m)).
0.62/0.56	thf(satz40a, axiom, ![X1:frac, X6:nat]:((eq @ (fr @ (ts @ (num @ X1) @ X6) @ (ts @ (den @ X1) @ X6)) @ X1)), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz40a)).
0.62/0.56	thf(satz57, axiom, ![X4:nat, X5:nat, X6:nat]:((eq @ (pf @ (fr @ X4 @ X6) @ (fr @ X5 @ X6)) @ (fr @ (pl @ X4 @ X5) @ X6))), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz57)).
0.62/0.56	thf(satz56, axiom, ![X1:frac, X2:frac, X3:frac, X16:frac]:(((eq @ X1 @ X2)=>((eq @ (pf @ X1 @ X3) @ (pf @ X2 @ X16))<=(eq @ X3 @ X16)))), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz56)).
0.62/0.56	thf(satz37, axiom, ![X1:frac]:((eq @ X1 @ X1)), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz37)).
0.62/0.56	thf(satz40, axiom, ![X1:frac, X6:nat]:((eq @ X1 @ (fr @ (ts @ (num @ X1) @ X6) @ (ts @ (den @ X1) @ X6)))), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz40)).
0.62/0.56	thf(satz29, axiom, ![X13:nat, X14:nat]:(((ts @ X13 @ X14)=(ts @ X14 @ X13))), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz29)).
0.62/0.56	thf(satz67a, conjecture, ~(![X15:frac]:(~((eq @ (pf @ y @ X15) @ x)))), file('/export/starexec/sandbox2/tmp/tmp.XTyP9aOm1J/E---3.1_20502.p', satz67a)).
0.62/0.56	thf(c_0_9, plain, ![X1:frac, X2:frac, X3:frac]:(((eq @ X1 @ X2)=>((eq @ X2 @ X3)=>(eq @ X1 @ X3)))), inference(fof_simplification,[status(thm)],[satz39])).
0.62/0.56	thf(c_0_10, plain, ~(![X12:nat]:(((ts @ (num @ x) @ (den @ y))!=(pl @ (ts @ (num @ y) @ (den @ x)) @ X12)))), inference(fof_simplification,[status(thm)],[m])).
0.62/0.56	thf(c_0_11, plain, ![X41:frac, X42:frac, X43:frac]:((~(eq @ X41 @ X42)|(~(eq @ X42 @ X43)|(eq @ X41 @ X43)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
0.62/0.56	thf(c_0_12, plain, ![X50:frac, X51:nat]:((eq @ (fr @ (ts @ (num @ X50) @ X51) @ (ts @ (den @ X50) @ X51)) @ X50)), inference(variable_rename,[status(thm)],[satz40a])).
0.62/0.56	thf(c_0_13, plain, ![X44:nat, X45:nat, X46:nat]:((eq @ (pf @ (fr @ X44 @ X46) @ (fr @ X45 @ X46)) @ (fr @ (pl @ X44 @ X45) @ X46))), inference(variable_rename,[status(thm)],[satz57])).
0.62/0.56	thf(c_0_14, plain, ((ts @ (num @ x) @ (den @ y))=(pl @ (ts @ (num @ y) @ (den @ x)) @ esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
0.62/0.56	thf(c_0_15, plain, ![X1:frac, X2:frac, X3:frac, X16:frac]:(((eq @ X1 @ X2)=>((eq @ X3 @ X16)=>(eq @ (pf @ X1 @ X3) @ (pf @ X2 @ X16))))), inference(fof_simplification,[status(thm)],[satz56])).
0.62/0.56	thf(c_0_16, plain, ![X1:frac, X2:frac, X3:frac]:(((eq @ X1 @ X3)|~((eq @ X1 @ X2))|~((eq @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_11])).
0.62/0.56	thf(c_0_17, plain, ![X4:nat, X1:frac]:((eq @ (fr @ (ts @ (num @ X1) @ X4) @ (ts @ (den @ X1) @ X4)) @ X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.62/0.56	thf(c_0_18, plain, ![X4:nat, X6:nat, X5:nat]:((eq @ (pf @ (fr @ X4 @ X5) @ (fr @ X6 @ X5)) @ (fr @ (pl @ X4 @ X6) @ X5))), inference(split_conjunct,[status(thm)],[c_0_13])).
0.62/0.56	thf(c_0_19, plain, ((ts @ (num @ x) @ (den @ y))=(pl @ (ts @ (num @ y) @ (den @ x)) @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
0.62/0.56	thf(c_0_20, plain, ![X52:frac, X53:frac, X54:frac, X55:frac]:((~(eq @ X52 @ X53)|(~(eq @ X54 @ X55)|(eq @ (pf @ X52 @ X54) @ (pf @ X53 @ X55))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
0.62/0.56	thf(c_0_21, plain, ![X47:frac]:((eq @ X47 @ X47)), inference(variable_rename,[status(thm)],[satz37])).
0.62/0.56	thf(c_0_22, plain, ![X48:frac, X49:nat]:((eq @ X48 @ (fr @ (ts @ (num @ X48) @ X49) @ (ts @ (den @ X48) @ X49)))), inference(variable_rename,[status(thm)],[satz40])).
0.62/0.56	thf(c_0_23, plain, ![X59:nat, X60:nat]:(((ts @ X59 @ X60)=(ts @ X60 @ X59))), inference(variable_rename,[status(thm)],[satz29])).
0.62/0.56	thf(c_0_24, plain, ![X1:frac, X2:frac, X4:nat]:(((eq @ X1 @ X2)|~((eq @ X1 @ (fr @ (ts @ (num @ X2) @ X4) @ (ts @ (den @ X2) @ X4)))))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
0.62/0.56	thf(c_0_25, plain, ![X4:nat]:((eq @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ X4) @ (fr @ esk1_0 @ X4)) @ (fr @ (ts @ (num @ x) @ (den @ y)) @ X4))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
0.62/0.56	thf(c_0_26, plain, ![X1:frac, X2:frac, X3:frac, X15:frac]:(((eq @ (pf @ X1 @ X3) @ (pf @ X2 @ X15))|~((eq @ X1 @ X2))|~((eq @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_20])).
0.62/0.56	thf(c_0_27, plain, ![X1:frac]:((eq @ X1 @ X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
0.62/0.56	thf(c_0_28, plain, ![X1:frac, X4:nat]:((eq @ X1 @ (fr @ (ts @ (num @ X1) @ X4) @ (ts @ (den @ X1) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_22])).
0.62/0.56	thf(c_0_29, plain, ![X5:nat, X4:nat]:(((ts @ X4 @ X5)=(ts @ X5 @ X4))), inference(split_conjunct,[status(thm)],[c_0_23])).
0.62/0.56	thf(c_0_30, negated_conjecture, ~(~(![X15:frac]:(~(eq @ (pf @ y @ X15) @ x)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz67a])])).
0.62/0.56	thf(c_0_31, plain, (eq @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ (ts @ (den @ x) @ (den @ y))) @ (fr @ esk1_0 @ (ts @ (den @ x) @ (den @ y)))) @ x), inference(spm,[status(thm)],[c_0_24, c_0_25])).
0.62/0.56	thf(c_0_32, plain, ![X1:frac, X2:frac, X3:frac]:(((eq @ (pf @ X1 @ X2) @ (pf @ X3 @ X2))|~((eq @ X1 @ X3)))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
0.62/0.56	thf(c_0_33, plain, ![X4:nat, X1:frac]:((eq @ X1 @ (fr @ (ts @ (num @ X1) @ X4) @ (ts @ X4 @ (den @ X1))))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
0.62/0.56	thf(c_0_34, negated_conjecture, ![X40:frac]:(~(eq @ (pf @ y @ X40) @ x)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])).
0.62/0.56	thf(c_0_35, plain, ![X1:frac]:(((eq @ X1 @ x)|~((eq @ X1 @ (pf @ (fr @ (ts @ (num @ y) @ (den @ x)) @ (ts @ (den @ x) @ (den @ y))) @ (fr @ esk1_0 @ (ts @ (den @ x) @ (den @ y)))))))), inference(spm,[status(thm)],[c_0_16, c_0_31])).
0.62/0.56	thf(c_0_36, plain, ![X1:frac, X4:nat, X2:frac]:((eq @ (pf @ X1 @ X2) @ (pf @ (fr @ (ts @ (num @ X1) @ X4) @ (ts @ X4 @ (den @ X1))) @ X2))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
0.62/0.56	thf(c_0_37, negated_conjecture, ![X1:frac]:(~((eq @ (pf @ y @ X1) @ x))), inference(split_conjunct,[status(thm)],[c_0_34])).
0.62/0.56	thf(c_0_38, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37]), ['proof']).
0.62/0.56	# SZS output end CNFRefutation
0.62/0.56	# Parsed axioms                        : 24
0.62/0.56	# Removed by relevancy pruning/SinE    : 13
0.62/0.56	# Initial clauses                      : 13
0.62/0.56	# Removed in clause preprocessing      : 0
0.62/0.56	# Initial clauses in saturation        : 13
0.62/0.56	# Processed clauses                    : 300
0.62/0.56	# ...of these trivial                  : 55
0.62/0.56	# ...subsumed                          : 64
0.62/0.56	# ...remaining for further processing  : 181
0.62/0.56	# Other redundant clauses eliminated   : 2
0.62/0.56	# Clauses deleted for lack of memory   : 0
0.62/0.56	# Backward-subsumed                    : 0
0.62/0.56	# Backward-rewritten                   : 0
0.62/0.56	# Generated clauses                    : 2746
0.62/0.56	# ...of the previous two non-redundant : 2455
0.62/0.56	# ...aggressively subsumed             : 0
0.62/0.56	# Contextual simplify-reflections      : 0
0.62/0.56	# Paramodulations                      : 2676
0.62/0.56	# Factorizations                       : 0
0.62/0.56	# NegExts                              : 17
0.62/0.56	# Equation resolutions                 : 5
0.62/0.56	# Disequality decompositions           : 0
0.62/0.56	# Total rewrite steps                  : 336
0.62/0.56	# ...of those cached                   : 289
0.62/0.56	# Propositional unsat checks           : 0
0.62/0.56	#    Propositional check models        : 0
0.62/0.56	#    Propositional check unsatisfiable : 0
0.62/0.56	#    Propositional clauses             : 0
0.62/0.56	#    Propositional clauses after purity: 0
0.62/0.56	#    Propositional unsat core size     : 0
0.62/0.56	#    Propositional preprocessing time  : 0.000
0.62/0.56	#    Propositional encoding time       : 0.000
0.62/0.56	#    Propositional solver time         : 0.000
0.62/0.56	#    Success case prop preproc time    : 0.000
0.62/0.56	#    Success case prop encoding time   : 0.000
0.62/0.56	#    Success case prop solver time     : 0.000
0.62/0.56	# Current number of processed clauses  : 157
0.62/0.56	#    Positive orientable unit clauses  : 52
0.62/0.56	#    Positive unorientable unit clauses: 1
0.62/0.56	#    Negative unit clauses             : 1
0.62/0.56	#    Non-unit-clauses                  : 103
0.62/0.56	# Current number of unprocessed clauses: 2166
0.62/0.56	# ...number of literals in the above   : 2252
0.62/0.56	# Current number of archived formulas  : 0
0.62/0.56	# Current number of archived clauses   : 23
0.62/0.56	# Clause-clause subsumption calls (NU) : 3012
0.62/0.56	# Rec. Clause-clause subsumption calls : 2040
0.62/0.56	# Non-unit clause-clause subsumptions  : 64
0.62/0.56	# Unit Clause-clause subsumption calls : 227
0.62/0.56	# Rewrite failures with RHS unbound    : 0
0.62/0.56	# BW rewrite match attempts            : 197
0.62/0.56	# BW rewrite match successes           : 0
0.62/0.56	# Condensation attempts                : 0
0.62/0.56	# Condensation successes               : 0
0.62/0.56	# Termbank termtop insertions          : 81027
0.62/0.56	# Search garbage collected termcells   : 219
0.62/0.56	
0.62/0.56	# -------------------------------------------------
0.62/0.56	# User time                : 0.065 s
0.62/0.56	# System time              : 0.003 s
0.62/0.56	# Total time               : 0.068 s
0.62/0.56	# Maximum resident set size: 1952 pages
0.62/0.56	
0.62/0.56	# -------------------------------------------------
0.62/0.56	# User time                : 0.204 s
0.62/0.56	# System time              : 0.014 s
0.62/0.56	# Total time               : 0.218 s
0.62/0.56	# Maximum resident set size: 1752 pages
0.62/0.56	% E exiting
0.62/0.56	% E exiting
0.62/0.56	EOF