0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.09/0.30	% Computer : n004.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 02:22:49 EDT 2025
0.09/0.30	% CPUTime    : 
0.16/0.42	Running higher-order theorem proving
0.16/0.43	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.TWTZw7isGF/E---3.1_29027.p
0.16/0.44	# Version: 3.0.0-ho
0.16/0.44	# Preprocessing class: HSMSSMSSSSSNFFN.
0.16/0.44	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.16/0.44	# Starting new_ho_10 with 1200s (5) cores
0.16/0.44	# Starting new_bool_1 with 240s (1) cores
0.16/0.44	# Starting full_lambda_5 with 240s (1) cores
0.16/0.44	# Starting new_ho_10_unif with 240s (1) cores
0.16/0.44	# new_ho_10 with pid 29106 completed with status 0
0.16/0.44	# Result found by new_ho_10
0.16/0.44	# Preprocessing class: HSMSSMSSSSSNFFN.
0.16/0.44	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.16/0.44	# Starting new_ho_10 with 1200s (5) cores
0.16/0.44	# No SInE strategy applied
0.16/0.44	# Search class: HHUNF-FFSF22-SFFFFFNN
0.16/0.44	# Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total)
0.16/0.44	# Starting new_ho_10 with 721s (1) cores
0.16/0.44	# Starting sh5l with 121s (1) cores
0.16/0.44	# Starting ehoh_best_sine_rwall with 121s (1) cores
0.16/0.44	# Starting lpo1_def_fix with 121s (1) cores
0.16/0.44	# Starting ehoh_best8_lambda with 116s (1) cores
0.16/0.44	# ehoh_best8_lambda with pid 29117 completed with status 0
0.16/0.44	# Result found by ehoh_best8_lambda
0.16/0.44	# Preprocessing class: HSMSSMSSSSSNFFN.
0.16/0.44	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.16/0.44	# Starting new_ho_10 with 1200s (5) cores
0.16/0.44	# No SInE strategy applied
0.16/0.44	# Search class: HHUNF-FFSF22-SFFFFFNN
0.16/0.44	# Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total)
0.16/0.44	# Starting new_ho_10 with 721s (1) cores
0.16/0.44	# Starting sh5l with 121s (1) cores
0.16/0.44	# Starting ehoh_best_sine_rwall with 121s (1) cores
0.16/0.44	# Starting lpo1_def_fix with 121s (1) cores
0.16/0.44	# Starting ehoh_best8_lambda with 116s (1) cores
0.16/0.44	# Preprocessing time       : 0.001 s
0.16/0.44	# Presaturation interreduction done
0.16/0.44	
0.16/0.44	# Proof found!
0.16/0.44	# SZS status Theorem
0.16/0.44	# SZS output start CNFRefutation
0.16/0.44	thf(decl_sort1, type, frac: $tType).
0.16/0.44	thf(decl_23, type, x: frac).
0.16/0.44	thf(decl_24, type, y: frac).
0.16/0.44	thf(decl_25, type, z: frac).
0.16/0.44	thf(decl_26, type, u: frac).
0.16/0.44	thf(decl_27, type, moref: frac > frac > $o).
0.16/0.44	thf(decl_28, type, pf: frac > frac > frac).
0.16/0.44	thf(decl_29, type, lessf: frac > frac > $o).
0.16/0.44	thf(decl_30, type, eq: frac > frac > $o).
0.16/0.44	thf(satz44, axiom, ![X1:frac, X2:frac, X3:frac, X4:frac]:(((((moref @ X3 @ X4)<=(eq @ X2 @ X4))<=(eq @ X1 @ X3))<=(moref @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', satz44)).
0.16/0.44	thf(satz61, axiom, ![X1:frac, X2:frac, X3:frac]:(((moref @ (pf @ X1 @ X3) @ (pf @ X2 @ X3))<=(moref @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', satz61)).
0.16/0.44	thf(satz58, axiom, ![X1:frac, X2:frac]:((eq @ (pf @ X1 @ X2) @ (pf @ X2 @ X1))), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', satz58)).
0.16/0.44	thf(satz42, axiom, ![X1:frac, X2:frac]:(((lessf @ X2 @ X1)<=(moref @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', satz42)).
0.16/0.44	thf(satz50, axiom, ![X1:frac, X2:frac, X3:frac]:((((lessf @ X1 @ X3)<=(lessf @ X2 @ X3))<=(lessf @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', satz50)).
0.16/0.44	thf(m, axiom, (moref @ x @ y), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', m)).
0.16/0.44	thf(n, axiom, (moref @ z @ u), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', n)).
0.16/0.44	thf(satz43, axiom, ![X1:frac, X2:frac]:(((moref @ X2 @ X1)<=(lessf @ X1 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', satz43)).
0.16/0.44	thf(satz64, conjecture, (moref @ (pf @ x @ z) @ (pf @ y @ u)), file('/export/starexec/sandbox2/tmp/tmp.TWTZw7isGF/E---3.1_29027.p', satz64)).
0.16/0.44	thf(c_0_9, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(((moref @ X1 @ X2)=>((eq @ X1 @ X3)=>((eq @ X2 @ X4)=>(moref @ X3 @ X4))))), inference(fof_simplification,[status(thm)],[satz44])).
0.16/0.44	thf(c_0_10, plain, ![X1:frac, X2:frac, X3:frac]:(((moref @ X1 @ X2)=>(moref @ (pf @ X1 @ X3) @ (pf @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[satz61])).
0.16/0.44	thf(c_0_11, plain, ![X33:frac, X34:frac, X35:frac, X36:frac]:((~(moref @ X33 @ X34)|(~(eq @ X33 @ X35)|(~(eq @ X34 @ X36)|(moref @ X35 @ X36))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
0.16/0.44	thf(c_0_12, plain, ![X31:frac, X32:frac]:((eq @ (pf @ X31 @ X32) @ (pf @ X32 @ X31))), inference(variable_rename,[status(thm)],[satz58])).
0.16/0.44	thf(c_0_13, plain, ![X1:frac, X2:frac]:(((moref @ X1 @ X2)=>(lessf @ X2 @ X1))), inference(fof_simplification,[status(thm)],[satz42])).
0.16/0.44	thf(c_0_14, plain, ![X21:frac, X22:frac, X23:frac]:((~(moref @ X21 @ X22)|(moref @ (pf @ X21 @ X23) @ (pf @ X22 @ X23)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
0.16/0.44	thf(c_0_15, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(((moref @ X3 @ X4)|~((moref @ X1 @ X2))|~((eq @ X1 @ X3))|~((eq @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_11])).
0.16/0.44	thf(c_0_16, plain, ![X2:frac, X1:frac]:((eq @ (pf @ X1 @ X2) @ (pf @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.16/0.44	thf(c_0_17, plain, ![X1:frac, X2:frac, X3:frac]:(((lessf @ X1 @ X2)=>((lessf @ X2 @ X3)=>(lessf @ X1 @ X3)))), inference(fof_simplification,[status(thm)],[satz50])).
0.16/0.44	thf(c_0_18, plain, ![X29:frac, X30:frac]:((~(moref @ X29 @ X30)|(lessf @ X30 @ X29))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
0.16/0.44	thf(c_0_19, plain, ![X1:frac, X3:frac, X2:frac]:(((moref @ (pf @ X1 @ X3) @ (pf @ X2 @ X3))|~((moref @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_14])).
0.16/0.44	thf(c_0_20, plain, (moref @ x @ y), inference(split_conjunct,[status(thm)],[m])).
0.16/0.44	thf(c_0_21, plain, ![X2:frac, X4:frac, X3:frac, X1:frac]:(((moref @ X1 @ (pf @ X2 @ X3))|~((moref @ X4 @ (pf @ X3 @ X2)))|~((eq @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
0.16/0.44	thf(c_0_22, plain, (moref @ z @ u), inference(split_conjunct,[status(thm)],[n])).
0.16/0.44	thf(c_0_23, plain, ![X24:frac, X25:frac, X26:frac]:((~(lessf @ X24 @ X25)|(~(lessf @ X25 @ X26)|(lessf @ X24 @ X26)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
0.16/0.44	thf(c_0_24, plain, ![X1:frac, X2:frac]:(((lessf @ X2 @ X1)|~((moref @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_18])).
0.16/0.44	thf(c_0_25, plain, ![X1:frac]:((moref @ (pf @ x @ X1) @ (pf @ y @ X1))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
0.16/0.44	thf(c_0_26, plain, ![X1:frac, X2:frac, X4:frac, X3:frac]:(((moref @ (pf @ X1 @ X2) @ (pf @ X3 @ X4))|~((moref @ (pf @ X2 @ X1) @ (pf @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_21, c_0_16])).
0.16/0.44	thf(c_0_27, plain, ![X1:frac]:((moref @ (pf @ z @ X1) @ (pf @ u @ X1))), inference(spm,[status(thm)],[c_0_19, c_0_22])).
0.16/0.44	thf(c_0_28, plain, ![X1:frac, X2:frac]:(((lessf @ X1 @ X2)=>(moref @ X2 @ X1))), inference(fof_simplification,[status(thm)],[satz43])).
0.16/0.44	thf(c_0_29, plain, ![X1:frac, X2:frac, X3:frac]:(((lessf @ X1 @ X3)|~((lessf @ X1 @ X2))|~((lessf @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_23])).
0.16/0.44	thf(c_0_30, plain, ![X1:frac]:((lessf @ (pf @ y @ X1) @ (pf @ x @ X1))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
0.16/0.44	thf(c_0_31, plain, ![X1:frac]:((moref @ (pf @ X1 @ z) @ (pf @ X1 @ u))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
0.16/0.44	thf(c_0_32, negated_conjecture, ~(moref @ (pf @ x @ z) @ (pf @ y @ u)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz64])])).
0.16/0.44	thf(c_0_33, plain, ![X27:frac, X28:frac]:((~(lessf @ X27 @ X28)|(moref @ X28 @ X27))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
0.16/0.44	thf(c_0_34, plain, ![X1:frac, X2:frac]:(((lessf @ X1 @ (pf @ x @ X2))|~((lessf @ X1 @ (pf @ y @ X2))))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
0.16/0.44	thf(c_0_35, plain, ![X1:frac]:((lessf @ (pf @ X1 @ u) @ (pf @ X1 @ z))), inference(spm,[status(thm)],[c_0_24, c_0_31])).
0.16/0.44	thf(c_0_36, negated_conjecture, ~(moref @ (pf @ x @ z) @ (pf @ y @ u)), inference(fof_nnf,[status(thm)],[c_0_32])).
0.16/0.44	thf(c_0_37, plain, ![X1:frac, X2:frac]:(((moref @ X2 @ X1)|~((lessf @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_33])).
0.16/0.44	thf(c_0_38, plain, (lessf @ (pf @ y @ u) @ (pf @ x @ z)), inference(spm,[status(thm)],[c_0_34, c_0_35])).
0.16/0.44	thf(c_0_39, negated_conjecture, ~((moref @ (pf @ x @ z) @ (pf @ y @ u))), inference(split_conjunct,[status(thm)],[c_0_36])).
0.16/0.44	thf(c_0_40, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39]), ['proof']).
0.16/0.44	# SZS output end CNFRefutation
0.16/0.44	# Parsed axioms                        : 18
0.16/0.44	# Removed by relevancy pruning/SinE    : 0
0.16/0.44	# Initial clauses                      : 18
0.16/0.44	# Removed in clause preprocessing      : 9
0.16/0.44	# Initial clauses in saturation        : 9
0.16/0.44	# Processed clauses                    : 36
0.16/0.44	# ...of these trivial                  : 0
0.16/0.44	# ...subsumed                          : 0
0.16/0.44	# ...remaining for further processing  : 36
0.16/0.44	# Other redundant clauses eliminated   : 0
0.16/0.44	# Clauses deleted for lack of memory   : 0
0.16/0.44	# Backward-subsumed                    : 0
0.16/0.44	# Backward-rewritten                   : 0
0.16/0.44	# Generated clauses                    : 37
0.16/0.44	# ...of the previous two non-redundant : 26
0.16/0.44	# ...aggressively subsumed             : 0
0.16/0.44	# Contextual simplify-reflections      : 0
0.16/0.44	# Paramodulations                      : 37
0.16/0.44	# Factorizations                       : 0
0.16/0.44	# NegExts                              : 0
0.16/0.44	# Equation resolutions                 : 0
0.16/0.44	# Disequality decompositions           : 0
0.16/0.44	# Total rewrite steps                  : 9
0.16/0.44	# ...of those cached                   : 2
0.16/0.44	# Propositional unsat checks           : 0
0.16/0.44	#    Propositional check models        : 0
0.16/0.44	#    Propositional check unsatisfiable : 0
0.16/0.44	#    Propositional clauses             : 0
0.16/0.44	#    Propositional clauses after purity: 0
0.16/0.44	#    Propositional unsat core size     : 0
0.16/0.44	#    Propositional preprocessing time  : 0.000
0.16/0.44	#    Propositional encoding time       : 0.000
0.16/0.44	#    Propositional solver time         : 0.000
0.16/0.44	#    Success case prop preproc time    : 0.000
0.16/0.44	#    Success case prop encoding time   : 0.000
0.16/0.44	#    Success case prop solver time     : 0.000
0.16/0.44	# Current number of processed clauses  : 27
0.16/0.44	#    Positive orientable unit clauses  : 15
0.16/0.44	#    Positive unorientable unit clauses: 0
0.16/0.44	#    Negative unit clauses             : 1
0.16/0.44	#    Non-unit-clauses                  : 11
0.16/0.44	# Current number of unprocessed clauses: 8
0.16/0.44	# ...number of literals in the above   : 10
0.16/0.44	# Current number of archived formulas  : 0
0.16/0.44	# Current number of archived clauses   : 9
0.16/0.44	# Clause-clause subsumption calls (NU) : 3
0.16/0.44	# Rec. Clause-clause subsumption calls : 3
0.16/0.44	# Non-unit clause-clause subsumptions  : 0
0.16/0.44	# Unit Clause-clause subsumption calls : 0
0.16/0.44	# Rewrite failures with RHS unbound    : 0
0.16/0.44	# BW rewrite match attempts            : 2
0.16/0.44	# BW rewrite match successes           : 0
0.16/0.44	# Condensation attempts                : 0
0.16/0.44	# Condensation successes               : 0
0.16/0.44	# Termbank termtop insertions          : 1646
0.16/0.44	# Search garbage collected termcells   : 147
0.16/0.44	
0.16/0.44	# -------------------------------------------------
0.16/0.44	# User time                : 0.001 s
0.16/0.44	# System time              : 0.006 s
0.16/0.44	# Total time               : 0.007 s
0.16/0.44	# Maximum resident set size: 1792 pages
0.16/0.44	
0.16/0.44	# -------------------------------------------------
0.16/0.44	# User time                : 0.018 s
0.16/0.44	# System time              : 0.009 s
0.16/0.44	# Total time               : 0.027 s
0.16/0.44	# Maximum resident set size: 1728 pages
0.16/0.44	% E exiting
0.16/0.45	% E exiting
0.16/0.45	EOF