0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.11/0.40	% Computer : n023.cluster.edu
0.11/0.40	% Model    : x86_64 x86_64
0.11/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.40	% Memory   : 8046.5625MB
0.11/0.40	% OS       : Linux 6.8.0-71-generic
0.11/0.40	% CPULimit : 1440
0.11/0.40	% WCLimit  : 180
0.11/0.40	% DateTime : Mon Jul 27 08:59:36 UTC 2026
0.11/0.40	% CPUTime  : 
0.11/0.40	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.11/0.44	Running higher-order theorem proving
0.11/0.45	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.lNP1MdCR5w/E---3.1_670773.p
0.17/0.48	% Version: 3.5.1-ho
0.17/0.48	% Preprocessing class: HSSSSMSSSSMNSSA.
0.17/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.17/0.48	% Starting sh3 with 900s (5) cores
0.17/0.48	% Starting lpo8_s with 180s (1) cores
0.17/0.48	% Starting sh2lt with 180s (1) cores
0.17/0.48	% Starting sh2l with 180s (1) cores
0.17/0.48	% lpo8_s with pid 670787 completed with status 0
0.17/0.48	% Result found by lpo8_s
0.17/0.48	% Preprocessing class: HSSSSMSSSSMNSSA.
0.17/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.17/0.48	% Starting sh3 with 900s (5) cores
0.17/0.48	% Starting lpo8_s with 180s (1) cores
0.17/0.48	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
0.17/0.48	% SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
0.17/0.48	% Search class: HGUNF-FFSF22-SSSFFMBN
0.17/0.48	% Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.17/0.48	% Starting SubtermCWHack with 19s (1) cores
0.17/0.48	% SubtermCWHack with pid 670791 completed with status 0
0.17/0.48	% Result found by SubtermCWHack
0.17/0.48	% Preprocessing class: HSSSSMSSSSMNSSA.
0.17/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.17/0.48	% Starting sh3 with 900s (5) cores
0.17/0.48	% Starting lpo8_s with 180s (1) cores
0.17/0.48	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
0.17/0.48	% SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
0.17/0.48	% Search class: HGUNF-FFSF22-SSSFFMBN
0.17/0.48	% Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.17/0.48	% Starting SubtermCWHack with 19s (1) cores
0.17/0.48	% Preprocessing time       : 0.001 s
0.17/0.48	
0.17/0.48	% Proof found!
0.17/0.48	% SZS status Theorem
0.17/0.48	% SZS output start CNFRefutation
0.17/0.48	thf(decl_sort1, type, a: $tType).
0.17/0.48	thf(decl_23, type, cK: (a > $o) > a > $o).
0.17/0.48	thf(decl_24, type, esk1_2: (a > $o) > (a > $o) > a).
0.17/0.48	thf(decl_25, type, esk2_0: a).
0.17/0.48	thf(decl_26, type, epred1_0: a > $o).
0.17/0.48	thf(decl_27, type, epred2_0: a > $o).
0.17/0.48	thf(decl_28, type, epred3_1: a > a > $o).
0.17/0.48	thf(decl_29, type, esk3_2: a > (a > $o) > a).
0.17/0.48	thf(decl_30, type, epred4_1: a > a > $o).
0.17/0.48	thf(decl_31, type, esk4_2: a > (a > $o) > a).
0.17/0.48	thf(cTHM116_1SS, conjecture, (![X1:a]:(((cK @ (^[X2:a]:(?[X3:a > $o]:(((![X4:a]:((((cK @ X3 @ X4))<=((X3 @ X4)))))&((X3 @ X2)))))) @ X1)=>(cK @ (cK @ (^[X2:a]:(?[X3:a > $o]:(((![X4:a]:((((X3 @ X4))=>((cK @ X3 @ X4)))))&((X3 @ X2))))))) @ X1)))<=![X5:a > $o, X6:a > $o]:((![X1:a]:(((X5 @ X1)=>(X6 @ X1)))=>![X1:a]:(((cK @ X5 @ X1)=>(cK @ X6 @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.lNP1MdCR5w/E---3.1_670773.p', cTHM116_1SS)).
0.17/0.48	thf(c_0_1, negated_conjecture, ~((![X1:a]:(((cK @ (^[X2:a]:(?[X3:a > $o]:(((![X4:a]:((((cK @ X3 @ X4))<=((X3 @ X4)))))&((X3 @ X2)))))) @ X1)=>(cK @ (cK @ (^[X2:a]:(?[X3:a > $o]:(((![X4:a]:((((X3 @ X4))=>((cK @ X3 @ X4)))))&((X3 @ X2))))))) @ X1)))<=![X5:a > $o, X6:a > $o]:((![X1:a]:(((X5 @ X1)=>(X6 @ X1)))=>![X1:a]:(((cK @ X5 @ X1)=>(cK @ X6 @ X1))))))), inference(assume_negation,[status(cth)],[cTHM116_1SS])).
0.17/0.48	thf(c_0_2, negated_conjecture, ~((![X5:a > $o, X6:a > $o]:((![X1:a]:(((X5 @ X1)=>(X6 @ X1)))=>![X1:a]:(((cK @ X5 @ X1)=>(cK @ X6 @ X1)))))=>![X1:a]:(((cK @ (^[Z0:a]:(?[X3:a > $o]:(((![X4:a]:((((cK @ X3 @ X4))<=(X3 @ X4))))&(X3 @ Z0))))) @ X1)=>(cK @ (cK @ (^[Z0:a]:(?[X3:a > $o]:(((![X4:a]:(((X3 @ X4)=>((cK @ X3 @ X4)))))&(X3 @ Z0)))))) @ X1))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])).
0.17/0.48	thf(c_0_3, negated_conjecture, ![X12:a > $o, X13:a > $o, X15:a]:(((((X12 @ (esk1_2 @ X12 @ X13))|(~(cK @ X12 @ X15)|(cK @ X13 @ X15)))&(~(X13 @ (esk1_2 @ X12 @ X13))|(~(cK @ X12 @ X15)|(cK @ X13 @ X15))))&((cK @ (^[Z0:a]:(?[X3:a > $o]:(((![X4:a]:((((cK @ X3 @ X4))<=(X3 @ X4))))&(X3 @ Z0))))) @ esk2_0)&~(cK @ (cK @ (^[Z0:a]:(?[X3:a > $o]:(((![X4:a]:(((X3 @ X4)=>((cK @ X3 @ X4)))))&(X3 @ Z0)))))) @ 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_2])])])])])])).
0.17/0.48	thf(c_0_4, plain, ![X28:a, X30:a, X31:a > $o]:((((~(epred4_1 @ X28 @ X30)|(cK @ (epred4_1 @ X28) @ X30)|~(epred2_0 @ X28))&((epred4_1 @ X28 @ X28)|~(epred2_0 @ X28)))&(((X31 @ (esk4_2 @ X28 @ X31))|~(X31 @ X28)|(epred2_0 @ X28))&(~(cK @ X31 @ (esk4_2 @ X28 @ X31))|~(X31 @ X28)|(epred2_0 @ X28))))), 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)],[inference(fof_simplification,[status(thm)],[])])])])])])])).
0.17/0.48	thf(c_0_5, plain, ![X23:a, X25:a, X26:a > $o]:((((~(epred3_1 @ X23 @ X25)|(cK @ (epred3_1 @ X23) @ X25)|~(epred1_0 @ X23))&((epred3_1 @ X23 @ X23)|~(epred1_0 @ X23)))&(((X26 @ (esk3_2 @ X23 @ X26))|~(X26 @ X23)|(epred1_0 @ X23))&(~(cK @ X26 @ (esk3_2 @ X23 @ X26))|~(X26 @ X23)|(epred1_0 @ X23))))), 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)],[])])])])])])).
0.17/0.48	thf(c_0_6, negated_conjecture, ![X5:a > $o, X3:a > $o, X1:a]:(((X3 @ (esk1_2 @ X3 @ X5))|(cK @ X5 @ X1)|~((cK @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])).
0.17/0.48	thf(c_0_7, plain, ![X2:a, X1:a]:(((cK @ (epred4_1 @ X1) @ X2)|~((epred4_1 @ X1 @ X2))|~((epred2_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
0.17/0.48	thf(c_0_8, plain, ![X3:a > $o, X1:a]:(((epred1_0 @ X1)|~((cK @ X3 @ (esk3_2 @ X1 @ X3)))|~((X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_5])).
0.17/0.48	thf(c_0_9, plain, ![X3:a > $o, X1:a]:(((X3 @ (esk3_2 @ X1 @ X3))|(epred1_0 @ X1)|~((X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_5])).
0.17/0.48	thf(c_0_10, plain, ![X3:a > $o, X2:a, X1:a]:(((epred4_1 @ X1 @ (esk1_2 @ (epred4_1 @ X1) @ X3))|(cK @ X3 @ X2)|~((epred4_1 @ X1 @ X2))|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
0.17/0.48	thf(c_0_11, plain, ![X1:a]:(((epred4_1 @ X1 @ X1)|~((epred2_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
0.17/0.48	thf(c_0_12, plain, ![X1:a, X2:a]:(((epred1_0 @ X1)|~((epred4_1 @ X2 @ X1))|~((epred2_0 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_7]), c_0_9])).
0.17/0.48	thf(c_0_13, plain, ![X3:a > $o, X1:a]:(((epred4_1 @ X1 @ (esk1_2 @ (epred4_1 @ X1) @ X3))|(cK @ X3 @ X1)|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
0.17/0.48	thf(c_0_14, negated_conjecture, ![X5:a > $o, X3:a > $o, X1:a]:(((cK @ X3 @ X1)|~((X3 @ (esk1_2 @ X5 @ X3)))|~((cK @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])).
0.17/0.48	thf(c_0_15, plain, ![X3:a > $o, X1:a]:(((epred1_0 @ (esk1_2 @ (epred4_1 @ X1) @ X3))|(cK @ X3 @ X1)|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
0.17/0.48	thf(c_0_16, negated_conjecture, ![X2:a, X1:a]:(((cK @ epred1_0 @ X1)|(cK @ epred1_0 @ X2)|~((cK @ (epred4_1 @ X1) @ X2))|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
0.17/0.48	thf(c_0_17, plain, ![X22:a]:(((epred2_0 @ X22)<=>?[X20:a > $o]:((![X21:a]:(((cK @ X20 @ X21)<=(X20 @ X21)))&(X20 @ X22))))), introduced(definition)).
0.17/0.48	thf(c_0_18, plain, ![X1:a, X2:a]:(((cK @ epred1_0 @ X1)|(cK @ epred1_0 @ X2)|~((epred4_1 @ X2 @ X1))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_16, c_0_7])).
0.17/0.48	thf(c_0_19, negated_conjecture, (((cK @ epred2_0 @ esk2_0))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_17])).
0.17/0.48	thf(c_0_20, plain, ![X19:a]:(((epred1_0 @ X19)<=>?[X17:a > $o]:((![X18:a]:(((X17 @ X18)=>(cK @ X17 @ X18)))&(X17 @ X19))))), introduced(definition)).
0.17/0.48	thf(c_0_21, plain, ![X1:a]:(((cK @ epred1_0 @ X1)|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_18, c_0_11])).
0.17/0.48	thf(c_0_22, negated_conjecture, (cK @ epred2_0 @ esk2_0), inference(cn,[status(thm)],[c_0_19])).
0.17/0.48	thf(c_0_23, negated_conjecture, ~((((cK @ (cK @ epred1_0) @ esk2_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_20])).
0.17/0.48	thf(c_0_24, negated_conjecture, ![X3:a > $o, X1:a]:(((cK @ (cK @ epred1_0) @ X1)|~((epred2_0 @ (esk1_2 @ X3 @ (cK @ epred1_0))))|~((cK @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_14, c_0_21])).
0.17/0.48	thf(c_0_25, negated_conjecture, ![X3:a > $o]:(((epred2_0 @ (esk1_2 @ epred2_0 @ X3))|(cK @ X3 @ esk2_0))), inference(spm,[status(thm)],[c_0_6, c_0_22])).
0.17/0.48	thf(c_0_26, negated_conjecture, ~((cK @ (cK @ epred1_0) @ esk2_0)), inference(cn,[status(thm)],[c_0_23])).
0.17/0.48	thf(c_0_27, negated_conjecture, ![X1:a]:(((cK @ (cK @ epred1_0) @ X1)|~((cK @ epred2_0 @ X1)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])).
0.17/0.48	thf(c_0_28, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_22])]), ['proof']).
0.17/0.48	% SZS output end CNFRefutation
0.17/0.48	% Parsed axioms                        : 3
0.17/0.48	% Removed by relevancy pruning/SinE    : 2
0.17/0.48	% Initial clauses                      : 12
0.17/0.48	% Removed in clause preprocessing      : 0
0.17/0.48	% Initial clauses in saturation        : 12
0.17/0.48	% Processed clauses                    : 71
0.17/0.48	% ...of these trivial                  : 0
0.17/0.48	% ...subsumed                          : 12
0.17/0.48	% ...remaining for further processing  : 59
0.17/0.48	% Other redundant clauses eliminated   : 0
0.17/0.48	% Clauses deleted for lack of memory   : 0
0.17/0.48	% Backward-subsumed                    : 6
0.17/0.48	% Backward-rewritten                   : 1
0.17/0.48	% Generated clauses                    : 167
0.17/0.48	% ...of the previous two non-redundant : 148
0.17/0.48	% ...aggressively subsumed             : 0
0.17/0.48	% Contextual simplify-reflections      : 4
0.17/0.48	% Paramodulations                      : 167
0.17/0.48	% Factorizations                       : 0
0.17/0.48	% NegExts                              : 0
0.17/0.48	% Equation resolutions                 : 0
0.17/0.48	% Disequality decompositions           : 0
0.17/0.48	% Total rewrite steps                  : 10
0.17/0.48	% ...of those cached                   : 8
0.17/0.48	% Propositional unsat checks           : 0
0.17/0.48	%    Propositional check models        : 0
0.17/0.48	%    Propositional check unsatisfiable : 0
0.17/0.48	%    Propositional clauses             : 0
0.17/0.48	%    Propositional clauses after purity: 0
0.17/0.48	%    Propositional unsat core size     : 0
0.17/0.48	%    Propositional preprocessing time  : 0.000
0.17/0.48	%    Propositional encoding time       : 0.000
0.17/0.48	%    Propositional solver time         : 0.000
0.17/0.48	%    Success case prop preproc time    : 0.000
0.17/0.48	%    Success case prop encoding time   : 0.000
0.17/0.48	%    Success case prop solver time     : 0.000
0.17/0.48	% Current number of processed clauses  : 52
0.17/0.48	%    Positive orientable unit clauses  : 2
0.17/0.48	%    Positive unorientable unit clauses: 0
0.17/0.48	%    Negative unit clauses             : 1
0.17/0.48	%    Non-unit-clauses                  : 49
0.17/0.48	% Current number of unprocessed clauses: 83
0.17/0.48	% ...number of literals in the above   : 344
0.17/0.48	% Current number of archived formulas  : 0
0.17/0.48	% Current number of archived clauses   : 7
0.17/0.48	% Clause-clause subsumption calls (NU) : 289
0.17/0.48	% Rec. Clause-clause subsumption calls : 222
0.17/0.48	% Non-unit clause-clause subsumptions  : 22
0.17/0.48	% Unit Clause-clause subsumption calls : 1
0.17/0.48	% Rewrite failures with RHS unbound    : 0
0.17/0.48	% BW rewrite match attempts            : 1
0.17/0.48	% BW rewrite match successes           : 1
0.17/0.48	% Condensation attempts                : 0
0.17/0.48	% Condensation successes               : 0
0.17/0.48	% Termbank termtop insertions          : 4139
0.17/0.48	% Search garbage collected termcells   : 453
0.17/0.48	
0.17/0.48	% -------------------------------------------------
0.17/0.48	% User time                : 0.009 s
0.17/0.48	% System time              : 0.004 s
0.17/0.48	% Total time               : 0.013 s
0.17/0.48	% Maximum resident set size: 3568 pages
0.17/0.48	
0.17/0.48	% -------------------------------------------------
0.17/0.48	% User time                : 0.010 s
0.17/0.48	% System time              : 0.008 s
0.17/0.48	% Total time               : 0.019 s
0.17/0.48	% Maximum resident set size: 4864 pages
0.17/0.48	% E exiting
0.17/0.48	EOF