0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.20/0.46	% Computer : n010.cluster.edu
0.20/0.46	% Model    : x86_64 x86_64
0.20/0.46	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.46	% Memory   : 8046.5625MB
0.20/0.46	% OS       : Linux 6.8.0-71-generic
0.20/0.46	% CPULimit : 1440
0.20/0.46	% WCLimit  : 180
0.20/0.46	% DateTime : Mon Jul 27 11:10:19 UTC 2026
0.20/0.46	% CPUTime  : 
0.20/0.46	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.24/0.53	Running higher-order theorem proving
0.24/0.54	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=180 /export/starexec/sandbox2/tmp/tmp.T3wHdSob0n/E---3.1_1028512.p
0.24/0.60	% Version: 3.5.1-ho
0.24/0.60	% Preprocessing class: HSSSSMSSMLSNHSN.
0.24/0.60	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.24/0.60	% Starting new_ho_9 with 900s (5) cores
0.24/0.60	% Starting post_as_ho1 with 180s (1) cores
0.24/0.60	% Starting sh1l with 180s (1) cores
0.24/0.60	% Starting post_as_ho10 with 180s (1) cores
0.24/0.60	% post_as_ho1 with pid 1028526 completed with status 0
0.24/0.60	% Result found by post_as_ho1
0.24/0.60	% Preprocessing class: HSSSSMSSMLSNHSN.
0.24/0.60	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.24/0.60	% Starting new_ho_9 with 900s (5) cores
0.24/0.60	% Starting post_as_ho1 with 180s (1) cores
0.24/0.60	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.24/0.60	% No SInE strategy applied
0.24/0.60	% Search class: HGHNF-FFSS00-SHSSMFNN
0.24/0.60	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.24/0.60	% Starting SubtermCWHack with 17s (1) cores
0.24/0.60	% SubtermCWHack with pid 1028529 completed with status 0
0.24/0.60	% Result found by SubtermCWHack
0.24/0.60	% Preprocessing class: HSSSSMSSMLSNHSN.
0.24/0.60	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.24/0.60	% Starting new_ho_9 with 900s (5) cores
0.24/0.60	% Starting post_as_ho1 with 180s (1) cores
0.24/0.60	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.24/0.60	% No SInE strategy applied
0.24/0.60	% Search class: HGHNF-FFSS00-SHSSMFNN
0.24/0.60	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.24/0.60	% Starting SubtermCWHack with 17s (1) cores
0.24/0.60	% Preprocessing time       : 0.002 s
0.24/0.60	
0.24/0.60	% Proof found!
0.24/0.60	% SZS status Theorem
0.24/0.60	% SZS output start CNFRefutation
0.24/0.60	thf(decl_24, type, inv: ($i > $i > $o) > $i > $i > $o).
0.24/0.60	thf(decl_33, type, asymm: ($i > $i > $o) > $o).
0.24/0.60	thf(decl_35, type, trans: ($i > $i > $o) > $o).
0.24/0.60	thf(decl_40, type, so: ($i > $i > $o) > $o).
0.24/0.60	thf(decl_52, type, epred1_0: $i > $i > $o).
0.24/0.60	thf(decl_53, type, esk1_0: $i).
0.24/0.60	thf(decl_54, type, esk2_0: $i).
0.24/0.60	thf(decl_55, type, esk3_0: $i).
0.24/0.60	thf(decl_56, type, esk4_0: $i).
0.24/0.60	thf(decl_57, type, esk5_0: $i).
0.24/0.60	thf(strict_order, axiom, ((so)=(^[X1:$i > $i > $o]:((((asymm @ X1))&((trans @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.T3wHdSob0n/E---3.1_1028512.p', strict_order)).
0.24/0.60	thf(asymmetric, axiom, ((asymm)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i]:((((X1 @ X3 @ X4))=>(~((X1 @ X4 @ X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.T3wHdSob0n/E---3.1_1028512.p', asymmetric)).
0.24/0.60	thf(transitive, axiom, ((trans)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((((X1 @ X3 @ X4))&((X1 @ X4 @ X6))))=>((X1 @ X3 @ X6))))))), file('/export/starexec/sandbox2/tmp/tmp.T3wHdSob0n/E---3.1_1028512.p', transitive)).
0.24/0.60	thf(inverse_of_strict_order_is_strict_order, conjecture, ![X1:$i > $i > $o]:(((so @ X1)=>(so @ (inv @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.T3wHdSob0n/E---3.1_1028512.p', inverse_of_strict_order_is_strict_order)).
0.24/0.60	thf(inverse, axiom, ((inv)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:((X1 @ X4 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.T3wHdSob0n/E---3.1_1028512.p', inverse)).
0.24/0.60	thf(c_0_5, plain, ((so)=(^[Z0:$i > $i > $o]:((((![X39:$i, X40:$i]:((((Z0 @ X39 @ X40))=>(~((Z0 @ X40 @ X39)))))))&((![X41:$i, X42:$i, X43:$i]:((((((Z0 @ X41 @ X42))&((Z0 @ X42 @ X43))))=>((Z0 @ X41 @ X43)))))))))), inference(fof_simplification,[status(thm)],[strict_order])).
0.24/0.60	thf(c_0_6, plain, ((asymm)=(^[Z0:$i > $i > $o]:(![X3:$i, X4:$i]:((((Z0 @ X3 @ X4))=>(~((Z0 @ X4 @ X3)))))))), inference(fof_simplification,[status(thm)],[asymmetric])).
0.24/0.60	thf(c_0_7, plain, ((trans)=(^[Z0:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((((Z0 @ X3 @ X4))&((Z0 @ X4 @ X6))))=>((Z0 @ X3 @ X6))))))), inference(fof_simplification,[status(thm)],[transitive])).
0.24/0.60	thf(c_0_8, negated_conjecture, ~(![X1:$i > $i > $o]:(((so @ X1)=>(so @ (inv @ X1))))), inference(assume_negation,[status(cth)],[inverse_of_strict_order_is_strict_order])).
0.24/0.60	thf(c_0_9, plain, ((inv)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:((Z0 @ Z2 @ Z1)))), inference(fof_simplification,[status(thm)],[inverse])).
0.24/0.60	thf(c_0_10, plain, ((so)=(^[Z0:$i > $i > $o]:((((![X39:$i, X40:$i]:((((Z0 @ X39 @ X40))=>(~((Z0 @ X40 @ X39)))))))&((![X41:$i, X42:$i, X43:$i]:((((((Z0 @ X41 @ X42))&((Z0 @ X42 @ X43))))=>((Z0 @ X41 @ X43)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5, c_0_6]), c_0_7])).
0.24/0.60	thf(c_0_11, negated_conjecture, ~(![X1:$i > $i > $o]:(((![X158:$i, X159:$i]:(((X1 @ X158 @ X159)=>~((X1 @ X159 @ X158))))&![X160:$i, X161:$i, X162:$i]:((((X1 @ X160 @ X161)&(X1 @ X161 @ X162))=>(X1 @ X160 @ X162))))=>(![X163:$i, X164:$i]:(((X1 @ X164 @ X163)=>~((X1 @ X163 @ X164))))&![X165:$i, X166:$i, X167:$i]:((((X1 @ X166 @ X165)&(X1 @ X167 @ X166))=>(X1 @ X167 @ X165))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8, c_0_9]), c_0_10])).
0.24/0.60	thf(c_0_12, negated_conjecture, ![X169:$i, X170:$i, X171:$i, X172:$i, X173:$i]:((((~(epred1_0 @ X169 @ X170)|~(epred1_0 @ X170 @ X169))&(~(epred1_0 @ X171 @ X172)|~(epred1_0 @ X172 @ X173)|(epred1_0 @ X171 @ X173)))&(((((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk2_0 @ esk1_0))&((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk2_0 @ esk1_0)))&(~(epred1_0 @ esk5_0 @ esk3_0)|(epred1_0 @ esk2_0 @ esk1_0)))&((((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk1_0 @ esk2_0))&((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk1_0 @ esk2_0)))&(~(epred1_0 @ esk5_0 @ esk3_0)|(epred1_0 @ esk1_0 @ esk2_0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])])).
0.24/0.60	thf(c_0_13, negated_conjecture, ![X3:$i, X4:$i, X6:$i]:(((epred1_0 @ X3 @ X6)|~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_14, negated_conjecture, ((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_15, negated_conjecture, ![X3:$i]:(((epred1_0 @ esk1_0 @ esk2_0)|(epred1_0 @ X3 @ esk3_0)|~((epred1_0 @ X3 @ esk4_0)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
0.24/0.60	thf(c_0_16, negated_conjecture, ((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_17, negated_conjecture, ((epred1_0 @ esk1_0 @ esk2_0)|~((epred1_0 @ esk5_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_18, negated_conjecture, ![X4:$i, X3:$i]:((~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_19, negated_conjecture, (epred1_0 @ esk1_0 @ esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])).
0.24/0.60	thf(c_0_20, negated_conjecture, ((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk2_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_21, negated_conjecture, ~((epred1_0 @ esk2_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
0.24/0.60	thf(c_0_22, negated_conjecture, (epred1_0 @ esk4_0 @ esk3_0), inference(sr,[status(thm)],[c_0_20, c_0_21])).
0.24/0.60	thf(c_0_23, negated_conjecture, ((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk2_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_24, negated_conjecture, ((epred1_0 @ esk2_0 @ esk1_0)|~((epred1_0 @ esk5_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.24/0.60	thf(c_0_25, negated_conjecture, ![X3:$i]:(((epred1_0 @ X3 @ esk3_0)|~((epred1_0 @ X3 @ esk4_0)))), inference(spm,[status(thm)],[c_0_13, c_0_22])).
0.24/0.60	thf(c_0_26, negated_conjecture, (epred1_0 @ esk5_0 @ esk4_0), inference(sr,[status(thm)],[c_0_23, c_0_21])).
0.24/0.60	thf(c_0_27, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])]), c_0_21]), ['proof']).
0.24/0.60	% SZS output end CNFRefutation
0.24/0.60	% Parsed axioms                        : 59
0.24/0.60	% Removed by relevancy pruning/SinE    : 0
0.24/0.60	% Initial clauses                      : 37
0.24/0.60	% Removed in clause preprocessing      : 29
0.24/0.60	% Initial clauses in saturation        : 8
0.24/0.60	% Processed clauses                    : 23
0.24/0.60	% ...of these trivial                  : 0
0.24/0.60	% ...subsumed                          : 0
0.24/0.60	% ...remaining for further processing  : 23
0.24/0.60	% Other redundant clauses eliminated   : 0
0.24/0.60	% Clauses deleted for lack of memory   : 0
0.24/0.60	% Backward-subsumed                    : 2
0.24/0.60	% Backward-rewritten                   : 7
0.24/0.60	% Generated clauses                    : 21
0.24/0.60	% ...of the previous two non-redundant : 18
0.24/0.60	% ...aggressively subsumed             : 0
0.24/0.60	% Contextual simplify-reflections      : 1
0.24/0.60	% Paramodulations                      : 19
0.24/0.60	% Factorizations                       : 0
0.24/0.60	% NegExts                              : 0
0.24/0.60	% Equation resolutions                 : 0
0.24/0.60	% Disequality decompositions           : 0
0.24/0.60	% Total rewrite steps                  : 8
0.24/0.60	% ...of those cached                   : 6
0.24/0.60	% Propositional unsat checks           : 0
0.24/0.60	%    Propositional check models        : 0
0.24/0.60	%    Propositional check unsatisfiable : 0
0.24/0.60	%    Propositional clauses             : 0
0.24/0.60	%    Propositional clauses after purity: 0
0.24/0.60	%    Propositional unsat core size     : 0
0.24/0.60	%    Propositional preprocessing time  : 0.000
0.24/0.60	%    Propositional encoding time       : 0.000
0.24/0.60	%    Propositional solver time         : 0.000
0.24/0.60	%    Success case prop preproc time    : 0.000
0.24/0.60	%    Success case prop encoding time   : 0.000
0.24/0.60	%    Success case prop solver time     : 0.000
0.24/0.60	% Current number of processed clauses  : 12
0.24/0.60	%    Positive orientable unit clauses  : 3
0.24/0.60	%    Positive unorientable unit clauses: 0
0.24/0.60	%    Negative unit clauses             : 3
0.24/0.60	%    Non-unit-clauses                  : 6
0.24/0.60	% Current number of unprocessed clauses: 1
0.24/0.60	% ...number of literals in the above   : 2
0.24/0.60	% Current number of archived formulas  : 0
0.24/0.60	% Current number of archived clauses   : 11
0.24/0.60	% Clause-clause subsumption calls (NU) : 72
0.24/0.60	% Rec. Clause-clause subsumption calls : 66
0.24/0.60	% Non-unit clause-clause subsumptions  : 1
0.24/0.60	% Unit Clause-clause subsumption calls : 17
0.24/0.60	% Rewrite failures with RHS unbound    : 0
0.24/0.60	% BW rewrite match attempts            : 1
0.24/0.60	% BW rewrite match successes           : 1
0.24/0.60	% Condensation attempts                : 0
0.24/0.60	% Condensation successes               : 0
0.24/0.60	% Termbank termtop insertions          : 3598
0.24/0.60	% Search garbage collected termcells   : 912
0.24/0.60	
0.24/0.60	% -------------------------------------------------
0.24/0.60	% User time                : 0.011 s
0.24/0.60	% System time              : 0.003 s
0.24/0.60	% Total time               : 0.014 s
0.24/0.60	% Maximum resident set size: 3940 pages
0.24/0.60	
0.24/0.60	% -------------------------------------------------
0.24/0.60	% User time                : 0.013 s
0.24/0.60	% System time              : 0.008 s
0.24/0.60	% Total time               : 0.021 s
0.24/0.60	% Maximum resident set size: 4864 pages
0.24/0.60	% E exiting
0.24/0.60	EOF