0.00/0.04	% 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 : n017.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 11:41:52 UTC 2026
0.20/0.46	% CPUTime  : 
0.20/0.46	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.23/0.53	Running higher-order theorem proving
0.23/0.56	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.9XXMIbTgYk/E---3.1_1318555.p
0.23/0.59	% Version: 3.5.1-ho
0.23/0.59	% Preprocessing class: HSSSSMSSSLSNSFN.
0.23/0.59	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.23/0.59	% Starting ho_unfolding_3 with 900s (5) cores
0.23/0.59	% Starting post_as_ho5 with 180s (1) cores
0.23/0.59	% Starting sh4l with 180s (1) cores
0.23/0.59	% Starting ho_unfolding_2 with 180s (1) cores
0.23/0.59	% ho_unfolding_3 with pid 1318568 completed with status 0
0.23/0.59	% Result found by ho_unfolding_3
0.23/0.59	% Preprocessing class: HSSSSMSSSLSNSFN.
0.23/0.59	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.23/0.59	% Starting ho_unfolding_3 with 900s (5) cores
0.23/0.59	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.23/0.59	% No SInE strategy applied
0.23/0.59	% Search class: HGUSF-FFSF21-MSFFMMBN
0.23/0.59	% Scheduled 5 strats onto 5 cores with 900 seconds (900 total)
0.23/0.59	% Starting SubtermCWHack with 91s (1) cores
0.23/0.59	% Starting ho_unfolding_3 with 541s (1) cores
0.23/0.59	% Starting ehoh_best_sine_rwall with 91s (1) cores
0.23/0.59	% Starting sh5l with 91s (1) cores
0.23/0.59	% Starting new_bool_3 with 86s (1) cores
0.23/0.59	% SubtermCWHack with pid 1318572 completed with status 10
0.23/0.59	% ho_unfolding_3 with pid 1318574 completed with status 0
0.23/0.59	% Result found by ho_unfolding_3
0.23/0.59	% Preprocessing class: HSSSSMSSSLSNSFN.
0.23/0.59	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.23/0.59	% Starting ho_unfolding_3 with 900s (5) cores
0.23/0.59	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.23/0.59	% No SInE strategy applied
0.23/0.59	% Search class: HGUSF-FFSF21-MSFFMMBN
0.23/0.59	% Scheduled 5 strats onto 5 cores with 900 seconds (900 total)
0.23/0.59	% Starting SubtermCWHack with 91s (1) cores
0.23/0.59	% Starting ho_unfolding_3 with 541s (1) cores
0.23/0.59	% Preprocessing time       : 0.002 s
0.23/0.59	% Presaturation interreduction done
0.23/0.59	
0.23/0.59	% Proof found!
0.23/0.59	% SZS status Theorem
0.23/0.59	% SZS output start CNFRefutation
0.23/0.59	thf(decl_23, type, c0: $i).
0.23/0.59	thf(decl_24, type, cS: $i > $i).
0.23/0.59	thf(decl_25, type, cEVEN1: $i > $o).
0.23/0.59	thf(decl_26, type, cODD1: $i > $o).
0.23/0.59	thf(decl_27, type, esk1_2: $i > ($i > $o) > $i).
0.23/0.59	thf(decl_28, type, esk1_1: $i > $i).
0.23/0.59	thf(cODD1_def, axiom, ((cODD1)=(^[X1:$i]:(~((cEVEN1 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.9XXMIbTgYk/E---3.1_1318555.p', cODD1_def)).
0.23/0.59	thf(cEVEN1_def, axiom, ((cEVEN1)=(^[X1:$i]:(![X2:$i > $o]:((((((X2 @ c0))&(![X3:$i]:((((X2 @ X3))=>((X2 @ (cS @ (cS @ X3)))))))))=>((X2 @ X1))))))), file('/export/starexec/sandbox2/tmp/tmp.9XXMIbTgYk/E---3.1_1318555.p', cEVEN1_def)).
0.23/0.59	thf(cTHM405, conjecture, (?[X1:$i]:((cODD1 @ X1))<=(![X4:$i, X5:$i]:((((cS @ X4)=(cS @ X5))=>((X4)=(X5))))&![X6:$i]:(((cS @ X6)!=(c0))))), file('/export/starexec/sandbox2/tmp/tmp.9XXMIbTgYk/E---3.1_1318555.p', cTHM405)).
0.23/0.59	thf(c_0_3, plain, ((cODD1)=(^[Z0:$i]:(~((![X11:$i > $o]:((((((X11 @ c0))&(![X12:$i]:((((X11 @ X12))=>((X11 @ (cS @ (cS @ X12)))))))))=>((X11 @ Z0))))))))), inference(fof_simplification,[status(thm)],[cODD1_def])).
0.23/0.59	thf(c_0_4, plain, ((cEVEN1)=(^[Z0:$i]:(![X2:$i > $o]:((((((X2 @ c0))&(![X3:$i]:((((X2 @ X3))=>((X2 @ (cS @ (cS @ X3)))))))))=>((X2 @ Z0))))))), inference(fof_simplification,[status(thm)],[cEVEN1_def])).
0.23/0.59	thf(c_0_5, negated_conjecture, ~((?[X1:$i]:((cODD1 @ X1))<=(![X4:$i, X5:$i]:((((cS @ X4)=(cS @ X5))=>((X4)=(X5))))&![X6:$i]:(((cS @ X6)!=(c0)))))), inference(assume_negation,[status(cth)],[cTHM405])).
0.23/0.59	thf(c_0_6, plain, ((cODD1)=(^[Z0:$i]:(~((![X11:$i > $o]:((((((X11 @ c0))&(![X12:$i]:((((X11 @ X12))=>((X11 @ (cS @ (cS @ X12)))))))))=>((X11 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_3, c_0_4])).
0.23/0.59	thf(c_0_7, negated_conjecture, ~(((![X4:$i, X5:$i]:((((cS @ X4)=(cS @ X5))=>((X4)=(X5))))&![X6:$i]:(((cS @ X6)!=(c0))))=>?[X1:$i]:(~(![X13:$i > $o]:((((X13 @ c0)&![X14:$i]:(((X13 @ X14)=>(X13 @ (cS @ (cS @ X14))))))=>(X13 @ X1))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5, c_0_6])])).
0.23/0.59	thf(c_0_8, negated_conjecture, ![X15:$i, X16:$i, X17:$i, X18:$i, X19:$i > $o]:((((((cS @ X15)!=(cS @ X16))|((X15)=(X16)))&((cS @ X17)!=(c0)))&(((X19 @ (esk1_2 @ X18 @ X19))|~(X19 @ c0)|(X19 @ X18))&(~(X19 @ (cS @ (cS @ (esk1_2 @ X18 @ X19))))|~(X19 @ c0)|(X19 @ X18))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])).
0.23/0.59	thf(c_0_9, negated_conjecture, ![X1:$i, X3:$i]:((((X1)=(X3))|((cS @ X1)!=(cS @ X3)))), inference(split_conjunct,[status(thm)],[c_0_8])).
0.23/0.59	thf(c_0_10, negated_conjecture, ![X1:$i, X2:$i > $o]:(((X2 @ X1)|~((X2 @ (cS @ (cS @ (esk1_2 @ X1 @ X2)))))|~((X2 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_8])).
0.23/0.59	thf(c_0_11, negated_conjecture, ![X1:$i]:(((esk1_1 @ (cS @ X1))=(X1))), inference(recognize_injectivity,[status(thm)],[c_0_9])).
0.23/0.59	thf(c_0_12, negated_conjecture, ![X1:$i]:((((cS @ (cS @ (esk1_2 @ X1 @ (^[Z0:$i]:(((Z0)!=(X1)))))))=(X1))|((c0)=(X1)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])).
0.23/0.59	thf(c_0_13, negated_conjecture, ![X1:$i]:(((cS @ X1)!=(c0))), inference(split_conjunct,[status(thm)],[c_0_8])).
0.23/0.59	thf(c_0_14, negated_conjecture, ![X1:$i]:((((cS @ (esk1_2 @ X1 @ (^[Z0:$i]:(((Z0)!=(X1))))))=(esk1_1 @ X1))|((c0)=(X1)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
0.23/0.59	thf(c_0_15, negated_conjecture, ![X1:$i]:((((c0)=(X1))|((esk1_1 @ X1)!=(c0)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
0.23/0.59	thf(c_0_16, negated_conjecture, ($false), inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_11]), c_0_13])]), ['proof']).
0.23/0.59	% SZS output end CNFRefutation
0.23/0.59	% Parsed axioms                        : 7
0.23/0.59	% Removed by relevancy pruning/SinE    : 0
0.23/0.59	% Initial clauses                      : 8
0.23/0.59	% Removed in clause preprocessing      : 4
0.23/0.59	% Initial clauses in saturation        : 4
0.23/0.59	% Processed clauses                    : 18
0.23/0.59	% ...of these trivial                  : 0
0.23/0.59	% ...subsumed                          : 2
0.23/0.59	% ...remaining for further processing  : 16
0.23/0.59	% Other redundant clauses eliminated   : 4
0.23/0.59	% Clauses deleted for lack of memory   : 0
0.23/0.59	% Backward-subsumed                    : 0
0.23/0.59	% Backward-rewritten                   : 0
0.23/0.59	% Generated clauses                    : 29
0.23/0.59	% ...of the previous two non-redundant : 19
0.23/0.59	% ...aggressively subsumed             : 0
0.23/0.59	% Contextual simplify-reflections      : 0
0.23/0.59	% Paramodulations                      : 13
0.23/0.59	% Factorizations                       : 0
0.23/0.59	% NegExts                              : 1
0.23/0.59	% Equation resolutions                 : 5
0.23/0.59	% Disequality decompositions           : 0
0.23/0.59	% Total rewrite steps                  : 0
0.23/0.59	% ...of those cached                   : 0
0.23/0.59	% Propositional unsat checks           : 0
0.23/0.59	%    Propositional check models        : 0
0.23/0.59	%    Propositional check unsatisfiable : 0
0.23/0.59	%    Propositional clauses             : 0
0.23/0.59	%    Propositional clauses after purity: 0
0.23/0.59	%    Propositional unsat core size     : 0
0.23/0.59	%    Propositional preprocessing time  : 0.000
0.23/0.59	%    Propositional encoding time       : 0.000
0.23/0.59	%    Propositional solver time         : 0.000
0.23/0.59	%    Success case prop preproc time    : 0.000
0.23/0.59	%    Success case prop encoding time   : 0.000
0.23/0.59	%    Success case prop solver time     : 0.000
0.23/0.59	% Current number of processed clauses  : 11
0.23/0.59	%    Positive orientable unit clauses  : 1
0.23/0.59	%    Positive unorientable unit clauses: 0
0.23/0.59	%    Negative unit clauses             : 1
0.23/0.59	%    Non-unit-clauses                  : 9
0.23/0.59	% Current number of unprocessed clauses: 9
0.23/0.59	% ...number of literals in the above   : 22
0.23/0.59	% Current number of archived formulas  : 0
0.23/0.59	% Current number of archived clauses   : 5
0.23/0.59	% Clause-clause subsumption calls (NU) : 13
0.23/0.59	% Rec. Clause-clause subsumption calls : 13
0.23/0.59	% Non-unit clause-clause subsumptions  : 0
0.23/0.59	% Unit Clause-clause subsumption calls : 0
0.23/0.59	% Rewrite failures with RHS unbound    : 0
0.23/0.59	% BW rewrite match attempts            : 0
0.23/0.59	% BW rewrite match successes           : 0
0.23/0.59	% Condensation attempts                : 18
0.23/0.59	% Condensation successes               : 0
0.23/0.59	% Termbank termtop insertions          : 1084
0.23/0.59	% Search garbage collected termcells   : 213
0.23/0.59	
0.23/0.59	% -------------------------------------------------
0.23/0.59	% User time                : 0.009 s
0.23/0.59	% System time              : 0.005 s
0.23/0.59	% Total time               : 0.013 s
0.23/0.59	% Maximum resident set size: 3632 pages
0.23/0.59	
0.23/0.59	% -------------------------------------------------
0.23/0.59	% User time                : 0.020 s
0.23/0.59	% System time              : 0.016 s
0.23/0.59	% Total time               : 0.036 s
0.23/0.59	% Maximum resident set size: 4864 pages
0.23/0.59	% E exiting
0.23/0.59	EOF