0.09/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.10	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.09/0.30	% Computer : n005.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 06:17:49 EDT 2025
0.09/0.30	% CPUTime    : 
0.16/0.42	Running higher-order theorem proving
0.16/0.42	Running: /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=240 /export/starexec/sandbox/tmp/tmp.S6CwnDqF5D/E---3.1_13168.p
0.16/0.44	# Version: 3.0.0-ho
0.16/0.44	# Preprocessing class: HSMSSMSSSSMNHSA.
0.16/0.44	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.16/0.44	# Starting ho_unfolding_3 with 1200s (5) cores
0.16/0.44	# Starting ehoh_best_nonlift_rwall with 240s (1) cores
0.16/0.44	# Starting ehoh_best_nonlift_nonlambdatoforall with 240s (1) cores
0.16/0.44	# Starting ehoh_best8_lambda with 240s (1) cores
0.16/0.44	# ehoh_best_nonlift_rwall with pid 13247 completed with status 0
0.16/0.44	# Result found by ehoh_best_nonlift_rwall
0.16/0.44	# Preprocessing class: HSMSSMSSSSMNHSA.
0.16/0.44	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.16/0.44	# Starting ho_unfolding_3 with 1200s (5) cores
0.16/0.44	# Starting ehoh_best_nonlift_rwall with 240s (1) cores
0.16/0.44	# No SInE strategy applied
0.16/0.44	# Search class: HGHNS-FFSF32-MHSFFSBN
0.16/0.44	# partial match(2): HGHNS-FFMF32-SHSFFSBN
0.16/0.44	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
0.16/0.44	# Starting ho_unfolding_3 with 145s (1) cores
0.16/0.44	# ho_unfolding_3 with pid 13252 completed with status 0
0.16/0.44	# Result found by ho_unfolding_3
0.16/0.44	# Preprocessing class: HSMSSMSSSSMNHSA.
0.16/0.44	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.16/0.44	# Starting ho_unfolding_3 with 1200s (5) cores
0.16/0.44	# Starting ehoh_best_nonlift_rwall with 240s (1) cores
0.16/0.44	# No SInE strategy applied
0.16/0.44	# Search class: HGHNS-FFSF32-MHSFFSBN
0.16/0.44	# partial match(2): HGHNS-FFMF32-SHSFFSBN
0.16/0.44	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
0.16/0.44	# Starting ho_unfolding_3 with 145s (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, qML_mu: $tType).
0.16/0.44	thf(decl_sort2, type, qML_i: $tType).
0.16/0.44	thf(decl_23, type, scott_G: qML_mu > qML_i > $o).
0.16/0.44	thf(decl_26, type, scott_ess_QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
0.16/0.44	thf(decl_28, type, esk1_0: qML_i).
0.16/0.44	thf(decl_29, type, epred2_0: qML_i > $o).
0.16/0.44	thf(decl_30, type, esk2_0: qML_i).
0.16/0.44	thf(decl_36, type, esk7_1: qML_i > qML_mu).
0.16/0.44	thf(decl_37, type, epred4_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu > qML_i > $o).
0.16/0.44	thf(decl_38, type, esk8_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_i).
0.16/0.44	thf(decl_39, type, esk9_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu).
0.16/0.44	thf(fact_4_ess__def, axiom, ((scott_ess_QML_mu)=(^[X20:qML_mu > qML_i > $o, X1:qML_mu, X2:qML_i]:((![X3:qML_mu > qML_i > $o]:(((X3 @ X1 @ X2)=>![X13:qML_i, X21:qML_mu]:(((X3 @ X21 @ X13)<=(X20 @ X21 @ X13)))))&(X20 @ X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.S6CwnDqF5D/E---3.1_13168.p', fact_4_ess__def)).
0.16/0.44	thf(fact_9_T2, axiom, ![X4:qML_i, X12:qML_mu]:(((scott_G @ X12 @ X4)=>(scott_ess_QML_mu @ scott_G @ X12 @ X4))), file('/export/starexec/sandbox/tmp/tmp.S6CwnDqF5D/E---3.1_13168.p', fact_9_T2)).
0.16/0.44	thf(fact_2_T3, axiom, ![X4:qML_i, X17:qML_i]:(?[X18:qML_mu]:((scott_G @ X18 @ X17))), file('/export/starexec/sandbox/tmp/tmp.S6CwnDqF5D/E---3.1_13168.p', fact_2_T3)).
0.16/0.44	thf(conj_0, conjecture, ![X8:qML_i, X9:qML_i > $o]:((![X10:qML_i]:((X9 @ X10))|~((X9 @ X8)))), file('/export/starexec/sandbox/tmp/tmp.S6CwnDqF5D/E---3.1_13168.p', conj_0)).
0.16/0.44	thf(c_0_4, plain, ![X48:qML_mu > qML_i > $o, X49:qML_mu, X50:qML_i]:(((scott_ess_QML_mu @ X48 @ X49 @ X50)<=>(![X3:qML_mu > qML_i > $o]:(((X3 @ X49 @ X50)=>![X13:qML_i, X21:qML_mu]:(((X48 @ X21 @ X13)=>(X3 @ X21 @ X13)))))&(X48 @ X49 @ X50)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_4_ess__def])])])).
0.16/0.44	thf(c_0_5, plain, ![X85:qML_mu > qML_i > $o, X86:qML_mu, X87:qML_i, X88:qML_mu > qML_i > $o, X89:qML_i, X90:qML_mu, X91:qML_mu > qML_i > $o, X92:qML_mu, X93:qML_i]:((((~(X88 @ X86 @ X87)|(~(X85 @ X90 @ X89)|(X88 @ X90 @ X89))|~(scott_ess_QML_mu @ X85 @ X86 @ X87))&((X85 @ X86 @ X87)|~(scott_ess_QML_mu @ X85 @ X86 @ X87)))&(((epred4_3 @ X91 @ X92 @ X93 @ X92 @ X93)|~(X91 @ X92 @ X93)|(scott_ess_QML_mu @ X91 @ X92 @ X93))&(((X91 @ (esk9_3 @ X91 @ X92 @ X93) @ (esk8_3 @ X91 @ X92 @ X93))|~(X91 @ X92 @ X93)|(scott_ess_QML_mu @ X91 @ X92 @ X93))&(~(epred4_3 @ X91 @ X92 @ X93 @ (esk9_3 @ X91 @ X92 @ X93) @ (esk8_3 @ X91 @ X92 @ X93))|~(X91 @ X92 @ X93)|(scott_ess_QML_mu @ X91 @ X92 @ X93)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])])).
0.16/0.44	thf(c_0_6, plain, ![X63:qML_i, X64:qML_mu]:((~(scott_G @ X64 @ X63)|(scott_ess_QML_mu @ scott_G @ X64 @ X63))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_9_T2])])])).
0.16/0.44	thf(c_0_7, plain, ![X81:qML_i]:((scott_G @ (esk7_1 @ X81) @ X81)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_2_T3])])])).
0.16/0.44	thf(c_0_8, plain, ![X1:qML_mu, X3:qML_mu > qML_i > $o, X6:qML_mu, X5:qML_mu > qML_i > $o, X4:qML_i, X2:qML_i]:(((X3 @ X6 @ X4)|~((X3 @ X1 @ X2))|~((X5 @ X6 @ X4))|~((scott_ess_QML_mu @ X5 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_5])).
0.16/0.44	thf(c_0_9, plain, ![X1:qML_mu, X2:qML_i]:(((scott_ess_QML_mu @ scott_G @ X1 @ X2)|~((scott_G @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.16/0.44	thf(c_0_10, plain, ![X2:qML_i]:((scott_G @ (esk7_1 @ X2) @ X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
0.16/0.44	thf(c_0_11, plain, ![X1:qML_mu, X2:qML_i, X3:qML_mu > qML_i > $o, X6:qML_mu, X4:qML_i]:((((X1)=(X6))|~((scott_ess_QML_mu @ X3 @ X1 @ X2))|~((X3 @ X6 @ X4)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])).
0.16/0.44	thf(c_0_12, plain, ![X2:qML_i]:((scott_ess_QML_mu @ scott_G @ (esk7_1 @ X2) @ X2)), inference(spm,[status(thm)],[c_0_9, c_0_10])).
0.16/0.44	thf(c_0_13, plain, ![X1:qML_mu, X2:qML_i, X4:qML_i]:((((esk7_1 @ X2)=(X1))|~((scott_G @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
0.16/0.44	thf(c_0_14, plain, ![X2:qML_i, X4:qML_i]:(((esk7_1 @ X2)=(esk7_1 @ X4))), inference(spm,[status(thm)],[c_0_13, c_0_10])).
0.16/0.44	thf(c_0_15, negated_conjecture, ~(![X8:qML_i, X9:qML_i > $o]:((![X10:qML_i]:((X9 @ X10))|~((X9 @ X8))))), inference(assume_negation,[status(cth)],[conj_0])).
0.16/0.44	thf(c_0_16, plain, ![X1:qML_mu, X2:qML_i, X3:qML_mu > qML_i > $o, X6:qML_mu, X4:qML_i]:((((X2)=(X4))|~((scott_ess_QML_mu @ X3 @ X1 @ X2))|~((X3 @ X6 @ X4)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])).
0.16/0.44	thf(c_0_17, plain, ![X2:qML_i, X4:qML_i]:((scott_ess_QML_mu @ scott_G @ (esk7_1 @ X2) @ X4)), inference(spm,[status(thm)],[c_0_12, c_0_14])).
0.16/0.44	thf(c_0_18, negated_conjecture, (~(epred2_0 @ esk2_0)&(epred2_0 @ esk1_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])).
0.16/0.44	thf(c_0_19, plain, ![X1:qML_mu, X2:qML_i, X4:qML_i]:((((X2)=(X4))|~((scott_G @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
0.16/0.44	thf(c_0_20, plain, ![X2:qML_i, X4:qML_i]:((scott_G @ (esk7_1 @ X2) @ X4)), inference(spm,[status(thm)],[c_0_10, c_0_14])).
0.16/0.44	thf(c_0_21, negated_conjecture, ~((epred2_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
0.16/0.44	thf(c_0_22, plain, ![X2:qML_i, X4:qML_i]:(((X2)=(X4))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
0.16/0.44	thf(c_0_23, negated_conjecture, (epred2_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_18])).
0.16/0.44	thf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_23])]), ['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                      : 28
0.16/0.44	# Removed in clause preprocessing      : 6
0.16/0.44	# Initial clauses in saturation        : 22
0.16/0.44	# Processed clauses                    : 104
0.16/0.44	# ...of these trivial                  : 1
0.16/0.44	# ...subsumed                          : 7
0.16/0.44	# ...remaining for further processing  : 96
0.16/0.44	# Other redundant clauses eliminated   : 4
0.16/0.44	# Clauses deleted for lack of memory   : 0
0.16/0.44	# Backward-subsumed                    : 9
0.16/0.44	# Backward-rewritten                   : 4
0.16/0.44	# Generated clauses                    : 161
0.16/0.44	# ...of the previous two non-redundant : 106
0.16/0.44	# ...aggressively subsumed             : 0
0.16/0.44	# Contextual simplify-reflections      : 0
0.16/0.44	# Paramodulations                      : 95
0.16/0.44	# Factorizations                       : 0
0.16/0.44	# NegExts                              : 30
0.16/0.44	# Equation resolutions                 : 4
0.16/0.44	# Disequality decompositions           : 0
0.16/0.44	# Total rewrite steps                  : 16
0.16/0.44	# ...of those cached                   : 1
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  : 49
0.16/0.44	#    Positive orientable unit clauses  : 5
0.16/0.44	#    Positive unorientable unit clauses: 1
0.16/0.45	#    Negative unit clauses             : 8
0.16/0.45	#    Non-unit-clauses                  : 35
0.16/0.45	# Current number of unprocessed clauses: 40
0.16/0.45	# ...number of literals in the above   : 106
0.16/0.45	# Current number of archived formulas  : 0
0.16/0.45	# Current number of archived clauses   : 47
0.16/0.45	# Clause-clause subsumption calls (NU) : 194
0.16/0.45	# Rec. Clause-clause subsumption calls : 176
0.16/0.45	# Non-unit clause-clause subsumptions  : 8
0.16/0.45	# Unit Clause-clause subsumption calls : 45
0.16/0.45	# Rewrite failures with RHS unbound    : 0
0.16/0.45	# BW rewrite match attempts            : 174
0.16/0.45	# BW rewrite match successes           : 28
0.16/0.45	# Condensation attempts                : 104
0.16/0.45	# Condensation successes               : 0
0.16/0.45	# Termbank termtop insertions          : 5908
0.16/0.45	# Search garbage collected termcells   : 646
0.16/0.45	
0.16/0.45	# -------------------------------------------------
0.16/0.45	# User time                : 0.009 s
0.16/0.45	# System time              : 0.004 s
0.16/0.45	# Total time               : 0.013 s
0.16/0.45	# Maximum resident set size: 1928 pages
0.16/0.45	
0.16/0.45	# -------------------------------------------------
0.16/0.45	# User time                : 0.011 s
0.16/0.45	# System time              : 0.006 s
0.16/0.45	# Total time               : 0.016 s
0.16/0.45	# Maximum resident set size: 1764 pages
0.16/0.45	% E exiting
0.16/0.45	% E exiting
0.16/0.45	EOF