0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_E %s %d THM
0.11/0.33	% Computer : n012.cluster.edu
0.11/0.33	% Model    : x86_64 x86_64
0.11/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory   : 8042.1875MB
0.11/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1440
0.11/0.33	% WCLimit    : 180
0.11/0.33	% DateTime   : Thu Jul  4 08:37:54 EDT 2024
0.11/0.33	% CPUTime    : 
0.19/0.46	Running higher-order theorem proving
0.19/0.47	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=180 /export/starexec/sandbox/tmp/tmp.nvsRAiAySD/E---3.1_28311.p
0.19/0.50	# Version: 3.2.0-ho
0.19/0.50	# Preprocessing class: HSMSSMSSSSMNHSA.
0.19/0.50	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.19/0.50	# Starting ho_unfolding_3 with 900s (5) cores
0.19/0.50	# Starting ehoh_best_nonlift_rwall with 180s (1) cores
0.19/0.50	# Starting ehoh_best_nonlift_nonlambdatoforall with 180s (1) cores
0.19/0.50	# Starting ehoh_best8_lambda with 180s (1) cores
0.19/0.50	# ehoh_best_nonlift_rwall with pid 28390 completed with status 0
0.19/0.50	# Result found by ehoh_best_nonlift_rwall
0.19/0.50	# Preprocessing class: HSMSSMSSSSMNHSA.
0.19/0.50	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.19/0.50	# Starting ho_unfolding_3 with 900s (5) cores
0.19/0.50	# Starting ehoh_best_nonlift_rwall with 180s (1) cores
0.19/0.50	# No SInE strategy applied
0.19/0.50	# Search class: HGHNS-FFSF32-MHSFFSBN
0.19/0.50	# partial match(2): HGHNS-FFMF32-SHSFFSBN
0.19/0.50	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.19/0.50	# Starting ho_unfolding_3 with 109s (1) cores
0.19/0.50	# ho_unfolding_3 with pid 28395 completed with status 0
0.19/0.50	# Result found by ho_unfolding_3
0.19/0.50	# Preprocessing class: HSMSSMSSSSMNHSA.
0.19/0.50	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.19/0.50	# Starting ho_unfolding_3 with 900s (5) cores
0.19/0.50	# Starting ehoh_best_nonlift_rwall with 180s (1) cores
0.19/0.50	# No SInE strategy applied
0.19/0.50	# Search class: HGHNS-FFSF32-MHSFFSBN
0.19/0.50	# partial match(2): HGHNS-FFMF32-SHSFFSBN
0.19/0.50	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.19/0.50	# Starting ho_unfolding_3 with 109s (1) cores
0.19/0.50	# Preprocessing time       : 0.002 s
0.19/0.50	# Presaturation interreduction done
0.19/0.50	
0.19/0.50	# Proof found!
0.19/0.50	# SZS status Theorem
0.19/0.50	# SZS output start CNFRefutation
0.19/0.50	thf(decl_sort1, type, qML_mu: $tType).
0.19/0.50	thf(decl_sort2, type, qML_i: $tType).
0.19/0.50	thf(decl_22, type, scott_G: qML_mu > qML_i > $o).
0.19/0.50	thf(decl_25, type, scott_ess_QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
0.19/0.50	thf(decl_26, type, esk1_0: qML_i).
0.19/0.50	thf(decl_27, type, epred1_0: qML_i > $o).
0.19/0.50	thf(decl_28, type, esk2_0: qML_i).
0.19/0.50	thf(decl_34, type, epred3_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu > qML_i > $o).
0.19/0.50	thf(decl_35, type, esk7_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_i).
0.19/0.50	thf(decl_36, type, esk8_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu).
0.19/0.50	thf(decl_37, type, esk9_1: qML_i > qML_mu).
0.19/0.50	thf(fact_4_ess__def, axiom, ((scott_ess_QML_mu)=(^[X16:qML_mu > qML_i > $o, X4:qML_mu, X5:qML_i]:(((X16 @ X4 @ X5)&![X6:qML_mu > qML_i > $o]:(((X6 @ X4 @ X5)=>![X7:qML_i, X8:qML_mu]:(((X6 @ X8 @ X7)<=(X16 @ X8 @ X7))))))))), file('/export/starexec/sandbox/tmp/tmp.nvsRAiAySD/E---3.1_28311.p', fact_4_ess__def)).
0.19/0.50	thf(fact_9_T2, axiom, ![X9:qML_i, X17:qML_mu]:(((scott_G @ X17 @ X9)=>(scott_ess_QML_mu @ scott_G @ X17 @ X9))), file('/export/starexec/sandbox/tmp/tmp.nvsRAiAySD/E---3.1_28311.p', fact_9_T2)).
0.19/0.50	thf(fact_2_T3, axiom, ![X9:qML_i, X18:qML_i]:(?[X19:qML_mu]:((scott_G @ X19 @ X18))), file('/export/starexec/sandbox/tmp/tmp.nvsRAiAySD/E---3.1_28311.p', fact_2_T3)).
0.19/0.50	thf(conj_0, conjecture, ![X1:qML_i, X2:qML_i > $o]:((~((X2 @ X1))|![X3:qML_i]:((X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.nvsRAiAySD/E---3.1_28311.p', conj_0)).
0.19/0.50	thf(c_0_4, plain, ![X46:qML_mu > qML_i > $o, X47:qML_mu, X48:qML_i]:(((scott_ess_QML_mu @ X46 @ X47 @ X48)<=>((X46 @ X47 @ X48)&![X6:qML_mu > qML_i > $o]:(((X6 @ X47 @ X48)=>![X7:qML_i, X8:qML_mu]:(((X46 @ X8 @ X7)=>(X6 @ X8 @ X7)))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_4_ess__def])])])).
0.19/0.50	thf(c_0_5, plain, ![X74:qML_mu > qML_i > $o, X75:qML_mu, X76:qML_i, X77:qML_mu > qML_i > $o, X78:qML_i, X79:qML_mu, X80:qML_mu > qML_i > $o, X81:qML_mu, X82:qML_i]:(((((X74 @ X75 @ X76)|~(scott_ess_QML_mu @ X74 @ X75 @ X76))&(~(X77 @ X75 @ X76)|(~(X74 @ X79 @ X78)|(X77 @ X79 @ X78))|~(scott_ess_QML_mu @ X74 @ X75 @ X76)))&(((epred3_3 @ X80 @ X81 @ X82 @ X81 @ X82)|~(X80 @ X81 @ X82)|(scott_ess_QML_mu @ X80 @ X81 @ X82))&(((X80 @ (esk8_3 @ X80 @ X81 @ X82) @ (esk7_3 @ X80 @ X81 @ X82))|~(X80 @ X81 @ X82)|(scott_ess_QML_mu @ X80 @ X81 @ X82))&(~(epred3_3 @ X80 @ X81 @ X82 @ (esk8_3 @ X80 @ X81 @ X82) @ (esk7_3 @ X80 @ X81 @ X82))|~(X80 @ X81 @ X82)|(scott_ess_QML_mu @ X80 @ X81 @ X82)))))), 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])])])])])])])).
0.19/0.50	thf(c_0_6, plain, ![X86:qML_i, X87:qML_mu]:((~(scott_G @ X87 @ X86)|(scott_ess_QML_mu @ scott_G @ X87 @ X86))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_9_T2])])])).
0.19/0.50	thf(c_0_7, plain, ![X88:qML_i]:((scott_G @ (esk9_1 @ X88) @ X88)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_2_T3])])])).
0.19/0.50	thf(c_0_8, plain, ![X6:qML_mu > qML_i > $o, X10:qML_mu > qML_i > $o, X8:qML_mu, X4:qML_mu, X3:qML_i, X1:qML_i]:(((X6 @ X8 @ X3)|~((X6 @ X4 @ X1))|~((X10 @ X8 @ X3))|~((scott_ess_QML_mu @ X10 @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_5])).
0.19/0.50	thf(c_0_9, plain, ![X4:qML_mu, X1:qML_i]:(((scott_ess_QML_mu @ scott_G @ X4 @ X1)|~((scott_G @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.19/0.50	thf(c_0_10, plain, ![X1:qML_i]:((scott_G @ (esk9_1 @ X1) @ X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
0.19/0.50	thf(c_0_11, plain, ![X1:qML_i, X4:qML_mu, X8:qML_mu, X6:qML_mu > qML_i > $o, X3:qML_i]:((((X4)=(X8))|~((scott_ess_QML_mu @ X6 @ X4 @ X1))|~((X6 @ X8 @ X3)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])).
0.19/0.50	thf(c_0_12, plain, ![X1:qML_i]:((scott_ess_QML_mu @ scott_G @ (esk9_1 @ X1) @ X1)), inference(spm,[status(thm)],[c_0_9, c_0_10])).
0.19/0.50	thf(c_0_13, plain, ![X1:qML_i, X4:qML_mu, X3:qML_i]:((((esk9_1 @ X1)=(X4))|~((scott_G @ X4 @ X3)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
0.19/0.50	thf(c_0_14, plain, ![X1:qML_i, X3:qML_i]:(((esk9_1 @ X1)=(esk9_1 @ X3))), inference(spm,[status(thm)],[c_0_13, c_0_10])).
0.19/0.50	thf(c_0_15, negated_conjecture, ~(![X1:qML_i, X2:qML_i > $o]:((~((X2 @ X1))|![X3:qML_i]:((X2 @ X3))))), inference(assume_negation,[status(cth)],[conj_0])).
0.19/0.50	thf(c_0_16, plain, ![X1:qML_i, X4:qML_mu, X8:qML_mu, X6:qML_mu > qML_i > $o, X3:qML_i]:((((X1)=(X3))|~((scott_ess_QML_mu @ X6 @ X4 @ X1))|~((X6 @ X8 @ X3)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])).
0.19/0.50	thf(c_0_17, plain, ![X1:qML_i, X3:qML_i]:((scott_ess_QML_mu @ scott_G @ (esk9_1 @ X1) @ X3)), inference(spm,[status(thm)],[c_0_12, c_0_14])).
0.19/0.50	thf(c_0_18, negated_conjecture, ((epred1_0 @ esk1_0)&~(epred1_0 @ esk2_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])).
0.19/0.50	thf(c_0_19, plain, ![X1:qML_i, X4:qML_mu, X3:qML_i]:((((X1)=(X3))|~((scott_G @ X4 @ X3)))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
0.19/0.50	thf(c_0_20, plain, ![X1:qML_i, X3:qML_i]:((scott_G @ (esk9_1 @ X1) @ X3)), inference(spm,[status(thm)],[c_0_10, c_0_14])).
0.19/0.50	thf(c_0_21, negated_conjecture, ~((epred1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
0.19/0.50	thf(c_0_22, plain, ![X1:qML_i, X3:qML_i]:(((X1)=(X3))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
0.19/0.50	thf(c_0_23, negated_conjecture, (epred1_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_18])).
0.19/0.50	thf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_23])]), ['proof']).
0.19/0.50	# SZS output end CNFRefutation
0.19/0.50	# Parsed axioms                        : 18
0.19/0.50	# Removed by relevancy pruning/SinE    : 0
0.19/0.50	# Initial clauses                      : 28
0.19/0.50	# Removed in clause preprocessing      : 6
0.19/0.50	# Initial clauses in saturation        : 22
0.19/0.50	# Processed clauses                    : 104
0.19/0.50	# ...of these trivial                  : 1
0.19/0.50	# ...subsumed                          : 7
0.19/0.50	# ...remaining for further processing  : 96
0.19/0.50	# Other redundant clauses eliminated   : 4
0.19/0.50	# Clauses deleted for lack of memory   : 0
0.19/0.50	# Backward-subsumed                    : 9
0.19/0.50	# Backward-rewritten                   : 4
0.19/0.50	# Generated clauses                    : 161
0.19/0.50	# ...of the previous two non-redundant : 106
0.19/0.50	# ...aggressively subsumed             : 0
0.19/0.50	# Contextual simplify-reflections      : 0
0.19/0.50	# Paramodulations                      : 95
0.19/0.50	# Factorizations                       : 0
0.19/0.50	# NegExts                              : 30
0.19/0.50	# Equation resolutions                 : 4
0.19/0.50	# Disequality decompositions           : 0
0.19/0.50	# Total rewrite steps                  : 16
0.19/0.50	# ...of those cached                   : 1
0.19/0.50	# Propositional unsat checks           : 0
0.19/0.50	#    Propositional check models        : 0
0.19/0.50	#    Propositional check unsatisfiable : 0
0.19/0.50	#    Propositional clauses             : 0
0.19/0.50	#    Propositional clauses after purity: 0
0.19/0.50	#    Propositional unsat core size     : 0
0.19/0.50	#    Propositional preprocessing time  : 0.000
0.19/0.50	#    Propositional encoding time       : 0.000
0.19/0.50	#    Propositional solver time         : 0.000
0.19/0.50	#    Success case prop preproc time    : 0.000
0.19/0.50	#    Success case prop encoding time   : 0.000
0.19/0.50	#    Success case prop solver time     : 0.000
0.19/0.50	# Current number of processed clauses  : 49
0.19/0.50	#    Positive orientable unit clauses  : 5
0.19/0.50	#    Positive unorientable unit clauses: 1
0.19/0.50	#    Negative unit clauses             : 8
0.19/0.50	#    Non-unit-clauses                  : 35
0.19/0.50	# Current number of unprocessed clauses: 40
0.19/0.50	# ...number of literals in the above   : 106
0.19/0.50	# Current number of archived formulas  : 0
0.19/0.50	# Current number of archived clauses   : 47
0.19/0.50	# Clause-clause subsumption calls (NU) : 188
0.19/0.50	# Rec. Clause-clause subsumption calls : 170
0.19/0.50	# Non-unit clause-clause subsumptions  : 8
0.19/0.50	# Unit Clause-clause subsumption calls : 66
0.19/0.50	# Rewrite failures with RHS unbound    : 0
0.19/0.50	# BW rewrite match attempts            : 174
0.19/0.50	# BW rewrite match successes           : 28
0.19/0.50	# Condensation attempts                : 104
0.19/0.50	# Condensation successes               : 0
0.19/0.50	# Termbank termtop insertions          : 5744
0.19/0.50	# Search garbage collected termcells   : 650
0.19/0.50	
0.19/0.50	# -------------------------------------------------
0.19/0.50	# User time                : 0.013 s
0.19/0.50	# System time              : 0.002 s
0.19/0.50	# Total time               : 0.015 s
0.19/0.50	# Maximum resident set size: 1912 pages
0.19/0.50	
0.19/0.50	# -------------------------------------------------
0.19/0.50	# User time                : 0.017 s
0.19/0.50	# System time              : 0.002 s
0.19/0.50	# Total time               : 0.019 s
0.19/0.50	# Maximum resident set size: 1752 pages
0.19/0.50	% E---3.1 exiting
0.19/0.50	% E exiting
0.19/0.50	EOF