0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.08/0.37	% Computer : n012.cluster.edu
0.08/0.37	% Model    : x86_64 x86_64
0.08/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.37	% Memory   : 8046.5625MB
0.08/0.37	% OS       : Linux 6.8.0-71-generic
0.08/0.37	% CPULimit : 1440
0.08/0.37	% WCLimit  : 180
0.08/0.37	% DateTime : Mon Jul 27 09:43:33 UTC 2026
0.08/0.37	% CPUTime  : 
0.08/0.37	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.08/0.41	Running higher-order theorem proving
0.08/0.42	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=180 /export/starexec/sandbox/tmp/tmp.yD1wnG6d3u/E---3.1_1841412.p
119.03/17.74	% Version: 3.5.1-ho
119.03/17.74	% Preprocessing class: HSSSSMSSSSSNSSA.
119.03/17.74	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
119.03/17.74	% Starting post_as_ho12 with 180s (1) cores
119.03/17.74	% Starting new_bool_9 with 180s (1) cores
119.03/17.74	% Starting post_as_ho1 with 180s (1) cores
119.03/17.74	% Starting post_as_ho4 with 180s (1) cores
119.03/17.74	% Starting post_as_ho2 with 180s (1) cores
119.03/17.74	% Starting ehoh_best2_full_lfho with 180s (1) cores
119.03/17.74	% Starting full_lambda_10 with 180s (1) cores
119.03/17.74	% Starting new_ho_8 with 180s (1) cores
119.03/17.74	% full_lambda_10 with pid 1841432 completed with status 0
119.03/17.74	% Result found by full_lambda_10
119.03/17.74	% Preprocessing class: HSSSSMSSSSSNSSA.
119.03/17.74	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
119.03/17.74	% Starting post_as_ho12 with 180s (1) cores
119.03/17.74	% Starting new_bool_9 with 180s (1) cores
119.03/17.74	% Starting post_as_ho1 with 180s (1) cores
119.03/17.74	% Starting post_as_ho4 with 180s (1) cores
119.03/17.74	% Starting post_as_ho2 with 180s (1) cores
119.03/17.74	% Starting ehoh_best2_full_lfho with 180s (1) cores
119.03/17.74	% Starting full_lambda_10 with 180s (1) cores
119.03/17.74	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
119.03/17.74	% SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
119.03/17.74	% Search class: HGHPF-FFSS11-SSSFFFBN
119.03/17.74	% partial match(3): HGHNF-FFSF11-SSSFFMBN
119.03/17.74	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
119.03/17.74	% Starting SubtermCWHack with 17s (1) cores
119.03/17.74	% SubtermCWHack with pid 1841439 completed with status 8
119.03/17.74	% Starting full_lambda_10 with 19s (1) cores
119.03/17.74	% full_lambda_10 with pid 1841443 completed with status 0
119.03/17.74	% Result found by full_lambda_10
119.03/17.74	% Preprocessing class: HSSSSMSSSSSNSSA.
119.03/17.74	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
119.03/17.74	% Starting post_as_ho12 with 180s (1) cores
119.03/17.74	% Starting new_bool_9 with 180s (1) cores
119.03/17.74	% Starting post_as_ho1 with 180s (1) cores
119.03/17.74	% Starting post_as_ho4 with 180s (1) cores
119.03/17.74	% Starting post_as_ho2 with 180s (1) cores
119.03/17.74	% Starting ehoh_best2_full_lfho with 180s (1) cores
119.03/17.74	% Starting full_lambda_10 with 180s (1) cores
119.03/17.74	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
119.03/17.74	% SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
119.03/17.74	% Search class: HGHPF-FFSS11-SSSFFFBN
119.03/17.74	% partial match(3): HGHNF-FFSF11-SSSFFMBN
119.03/17.74	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
119.03/17.74	% Starting SubtermCWHack with 17s (1) cores
119.03/17.74	% SubtermCWHack with pid 1841439 completed with status 8
119.03/17.74	% Starting full_lambda_10 with 19s (1) cores
119.03/17.74	% Preprocessing time       : 0.001 s
119.03/17.74	% Presaturation interreduction done
119.03/17.74	
119.03/17.74	% Proof found!
119.03/17.74	% SZS status Theorem
119.03/17.74	% SZS output start CNFRefutation
119.03/17.74	thf(decl_23, type, one: $i).
119.03/17.74	thf(decl_24, type, two: $i).
119.03/17.74	thf(decl_25, type, b1: $o > $i).
119.03/17.74	thf(decl_26, type, b2: $o > $i).
119.03/17.74	thf(decl_27, type, esk1_0: $o > $i).
119.03/17.74	thf(decl_28, type, esk2_0: $o).
119.03/17.74	thf(decl_29, type, esk3_0: $o).
119.03/17.74	thf(goal, conjecture, ![X1:$o > $i]:((![X2:$o]:(((X1 @ ((X2)))!=(X1 @ (~((X2))))))=>(((X1)=(b2))|((X1)=(b1))))), file('/export/starexec/sandbox/tmp/tmp.yD1wnG6d3u/E---3.1_1841412.p', goal)).
119.03/17.74	thf(b1, axiom, ![X2:$o]:((((X2)=>((b1 @ ((X2)))=(one)))&(~((X2))=>((b1 @ ((X2)))=(two))))), file('/export/starexec/sandbox/tmp/tmp.yD1wnG6d3u/E---3.1_1841412.p', b1)).
119.03/17.74	thf(binarity_exhaust, axiom, ![X3:$i]:((((X3)=(one))|((X3)=(two)))), file('/export/starexec/sandbox/tmp/tmp.yD1wnG6d3u/E---3.1_1841412.p', binarity_exhaust)).
119.03/17.74	thf(b2, axiom, ![X2:$o]:((((X2)=>((b2 @ ((X2)))=(two)))&(((b2 @ ((X2)))=(one))<=~((X2))))), file('/export/starexec/sandbox/tmp/tmp.yD1wnG6d3u/E---3.1_1841412.p', b2)).
119.03/17.74	thf(binarity_distinc, axiom, ((one)!=(two)), file('/export/starexec/sandbox/tmp/tmp.yD1wnG6d3u/E---3.1_1841412.p', binarity_distinc)).
119.03/17.74	thf(c_0_5, negated_conjecture, ~(![X1:$o > $i]:((![X2:$o]:(((X1 @ ((X2)))!=(X1 @ (~((X2))))))=>(((X1)=(b2))|((X1)=(b1)))))), inference(assume_negation,[status(cth)],[goal])).
119.03/17.74	thf(c_0_6, negated_conjecture, ~(![X1:$o > $i]:((![X2:$o]:(~((((X2)|((X1 @ ((X2)))=(X1 @ $true)))&(~(X2)|((X1 @ ((X2)))=(X1 @ $false))))))=>(((X1)=(b2))|((X1)=(b1)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_5])])).
119.03/17.74	thf(c_0_7, negated_conjecture, ![X10:$o]:((((((X10)|~(X10))&(((esk1_0 @ ((X10)))!=(esk1_0 @ $false))|~(X10)))&(((X10)|((esk1_0 @ ((X10)))!=(esk1_0 @ $true)))&(((esk1_0 @ ((X10)))!=(esk1_0 @ $false))|((esk1_0 @ ((X10)))!=(esk1_0 @ $true)))))&(((esk1_0)!=(b2))&((esk1_0)!=(b1))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])).
119.03/17.74	thf(c_0_8, plain, ![X2:$o]:((((X2)=>((b1 @ ((X2)))=(one)))&(~(X2)=>((b1 @ ((X2)))=(two))))), inference(fof_simplification,[status(thm)],[b1])).
119.03/17.74	thf(c_0_9, negated_conjecture, ((esk1_0)!=(b1)), inference(split_conjunct,[status(thm)],[c_0_7])).
119.03/17.74	thf(c_0_10, plain, ![X11:$o]:(((~(X11)|((b1 @ ((X11)))=(one)))&((X11)|((b1 @ ((X11)))=(two))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
119.03/17.74	thf(c_0_11, plain, ![X13:$i]:((((X13)=(one))|((X13)=(two)))), inference(variable_rename,[status(thm)],[binarity_exhaust])).
119.03/17.74	thf(c_0_12, negated_conjecture, ((b1 @ ((esk2_0)))!=(esk1_0 @ ((esk2_0)))), inference(neg_ext,[status(thm)],[c_0_9])).
119.03/17.74	thf(c_0_13, plain, ((b1 @ (($true)))=(one)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])])).
119.03/17.74	thf(c_0_14, plain, ![X3:$i]:((((X3)=(one))|((X3)=(two)))), inference(split_conjunct,[status(thm)],[c_0_11])).
119.03/17.74	thf(c_0_15, plain, ((b1 @ (~($true)))=(two)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])])).
119.03/17.74	thf(c_0_16, plain, ![X2:$o]:((((X2)=>((b2 @ ((X2)))=(two)))&(~(X2)=>((b2 @ ((X2)))=(one))))), inference(fof_simplification,[status(thm)],[b2])).
119.03/17.74	thf(c_0_17, plain, (((esk1_0 @ ((esk2_0)))!=(one))|~((esk2_0))), inference(ext_sup,[status(thm)],[c_0_12, c_0_13])).
119.03/17.74	thf(c_0_18, plain, ![X8:$i, X3:$i]:((((X3)=(one))|((X8)=(one))|((X8)=(X3)))), inference(spm,[status(thm)],[c_0_14, c_0_14])).
119.03/17.74	thf(c_0_19, plain, ((esk2_0)|((esk1_0 @ ((esk2_0)))!=(two))), inference(ext_sup,[status(thm)],[c_0_12, c_0_15])).
119.03/17.74	thf(c_0_20, negated_conjecture, ((esk1_0)!=(b2)), inference(split_conjunct,[status(thm)],[c_0_7])).
119.03/17.74	thf(c_0_21, plain, ![X12:$o]:(((~(X12)|((b2 @ ((X12)))=(two)))&((X12)|((b2 @ ((X12)))=(one))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
119.03/17.74	thf(c_0_22, negated_conjecture, ((esk1_0 @ (($true)))!=(esk1_0 @ (~($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_7])])])).
119.03/17.74	thf(c_0_23, plain, ![X3:$i]:((((esk1_0 @ (($true)))=(X3))|((X3)=(one))|~((esk2_0)))), inference(local_rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18])])).
119.03/17.74	thf(c_0_24, plain, (((esk1_0 @ (~($true)))=(one))|(esk2_0)), inference(local_rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_14])])).
119.03/17.74	thf(c_0_25, negated_conjecture, ((b2 @ ((esk3_0)))!=(esk1_0 @ ((esk3_0)))), inference(neg_ext,[status(thm)],[c_0_20])).
119.03/17.74	thf(c_0_26, plain, ((b2 @ (($true)))=(two)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_21])])])).
119.03/17.74	thf(c_0_27, plain, ((b2 @ (~($true)))=(one)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_21])])])).
119.03/17.74	thf(c_0_28, negated_conjecture, ((esk1_0 @ (~($true)))=(one)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])).
119.03/17.74	thf(c_0_29, plain, (((esk1_0 @ ((esk3_0)))!=(two))|~((esk3_0))), inference(ext_sup,[status(thm)],[c_0_25, c_0_26])).
119.03/17.74	thf(c_0_30, plain, ((one)!=(two)), inference(fof_simplification,[status(thm)],[binarity_distinc])).
119.03/17.74	thf(c_0_31, plain, ((esk3_0)|((esk1_0 @ ((esk3_0)))!=(one))), inference(ext_sup,[status(thm)],[c_0_25, c_0_27])).
119.03/17.74	thf(c_0_32, negated_conjecture, ((esk1_0 @ (($true)))!=(one)), inference(rw,[status(thm)],[c_0_22, c_0_28])).
119.03/17.74	thf(c_0_33, plain, (((esk1_0 @ (($true)))=(one))|~((esk3_0))), inference(local_rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_14])])).
119.03/17.74	thf(c_0_34, plain, ((one)!=(two)), inference(fof_nnf,[status(thm)],[c_0_30])).
119.03/17.74	thf(c_0_35, plain, ![X3:$i]:((((esk1_0 @ (~($true)))=(X3))|((X3)=(one))|(esk3_0))), inference(local_rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_18])])).
119.03/17.74	thf(c_0_36, plain, ~((esk3_0)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
119.03/17.74	thf(c_0_37, plain, ((one)!=(two)), inference(split_conjunct,[status(thm)],[c_0_34])).
119.03/17.74	thf(c_0_38, plain, ![X3:$i]:(((one)=(X3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_28])]), c_0_36])).
119.03/17.74	thf(c_0_39, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])]), ['proof']).
119.03/17.74	% SZS output end CNFRefutation
119.03/17.74	% Parsed axioms                        : 9
119.03/17.74	% Removed by relevancy pruning/SinE    : 4
119.03/17.74	% Initial clauses                      : 12
119.03/17.74	% Removed in clause preprocessing      : 1
119.03/17.74	% Initial clauses in saturation        : 11
119.03/17.74	% Processed clauses                    : 80
119.03/17.74	% ...of these trivial                  : 0
119.03/17.74	% ...subsumed                          : 32
119.03/17.74	% ...remaining for further processing  : 48
119.03/17.74	% Other redundant clauses eliminated   : 22
119.03/17.74	% Clauses deleted for lack of memory   : 0
119.03/17.74	% Backward-subsumed                    : 10
119.03/17.74	% Backward-rewritten                   : 24
119.03/17.74	% Generated clauses                    : 304
119.03/17.74	% ...of the previous two non-redundant : 200
119.03/17.74	% ...aggressively subsumed             : 0
119.03/17.74	% Contextual simplify-reflections      : 1
119.03/17.74	% Paramodulations                      : 238
119.03/17.74	% Factorizations                       : 34
119.03/17.74	% NegExts                              : 2
119.03/17.74	% Equation resolutions                 : 23
119.03/17.74	% Disequality decompositions           : 0
119.03/17.74	% Total rewrite steps                  : 38
119.03/17.74	% ...of those cached                   : 22
119.03/17.74	% Propositional unsat checks           : 0
119.03/17.74	%    Propositional check models        : 0
119.03/17.74	%    Propositional check unsatisfiable : 0
119.03/17.74	%    Propositional clauses             : 0
119.03/17.74	%    Propositional clauses after purity: 0
119.03/17.74	%    Propositional unsat core size     : 0
119.03/17.74	%    Propositional preprocessing time  : 0.000
119.03/17.74	%    Propositional encoding time       : 0.000
119.03/17.74	%    Propositional solver time         : 0.000
119.03/17.74	%    Success case prop preproc time    : 0.000
119.03/17.74	%    Success case prop encoding time   : 0.000
119.03/17.74	%    Success case prop solver time     : 0.000
119.03/17.74	% Current number of processed clauses  : 4
119.03/17.74	%    Positive orientable unit clauses  : 0
119.03/17.74	%    Positive unorientable unit clauses: 1
119.03/17.74	%    Negative unit clauses             : 3
119.03/17.74	%    Non-unit-clauses                  : 0
119.03/17.74	% Current number of unprocessed clauses: 140
119.03/17.74	% ...number of literals in the above   : 429
119.03/17.74	% Current number of archived formulas  : 0
119.03/17.74	% Current number of archived clauses   : 44
119.03/17.74	% Clause-clause subsumption calls (NU) : 79
119.03/17.74	% Rec. Clause-clause subsumption calls : 64
119.03/17.74	% Non-unit clause-clause subsumptions  : 25
119.03/17.74	% Unit Clause-clause subsumption calls : 18
119.03/17.74	% Rewrite failures with RHS unbound    : 0
119.03/17.74	% BW rewrite match attempts            : 21
119.03/17.74	% BW rewrite match successes           : 14
119.03/17.74	% Condensation attempts                : 80
119.03/17.74	% Condensation successes               : 6
119.03/17.74	% Termbank termtop insertions          : 2224
119.03/17.74	% Search garbage collected termcells   : 160
119.03/17.74	
119.03/17.74	% -------------------------------------------------
119.03/17.74	% User time                : 16.680 s
119.03/17.74	% System time              : 0.370 s
119.03/17.74	% Total time               : 17.051 s
119.03/17.74	% Maximum resident set size: 3636 pages
119.03/17.74	
119.03/17.74	% -------------------------------------------------
119.03/17.74	% User time                : 16.682 s
119.03/17.74	% System time              : 0.376 s
119.03/17.74	% Total time               : 17.058 s
119.03/17.74	% Maximum resident set size: 4864 pages
119.03/17.74	% E exiting
119.03/17.74	EOF