0.00/0.03	% 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
0.11/0.37	% Computer : n008.cluster.edu
0.11/0.37	% Model    : x86_64 x86_64
0.11/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.37	% Memory   : 8046.5625MB
0.11/0.37	% OS       : Linux 6.8.0-71-generic
0.11/0.37	% CPULimit : 1440
0.11/0.37	% WCLimit  : 180
0.11/0.37	% DateTime : Mon Jul 27 12:10:42 UTC 2026
0.11/0.37	% CPUTime  : 
0.11/0.37	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.42	Running higher-order theorem proving
0.11/0.43	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.7WSgs5nxcq/E---3.1_1098831.p
0.11/0.45	% Version: 3.5.1-ho
0.11/0.45	% Preprocessing class: HSSSSMSSSSSNFFN.
0.11/0.45	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.11/0.45	% Starting new_ho_10 with 900s (5) cores
0.11/0.45	% Starting ho_unfolding_6 with 180s (1) cores
0.11/0.45	% Starting sh4l with 180s (1) cores
0.11/0.45	% Starting ehoh_best_nonlift_rwall with 180s (1) cores
0.11/0.45	% sh4l with pid 1098846 completed with status 0
0.11/0.45	% Result found by sh4l
0.11/0.45	% Preprocessing class: HSSSSMSSSSSNFFN.
0.11/0.45	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.11/0.45	% Starting new_ho_10 with 900s (5) cores
0.11/0.45	% Starting ho_unfolding_6 with 180s (1) cores
0.11/0.45	% Starting sh4l with 180s (1) cores
0.11/0.45	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
0.11/0.45	% No SInE strategy applied
0.11/0.45	% Search class: HGUPS-FFSM22-SFFFFFNN
0.11/0.45	% partial match(2): HUUPS-FFSF22-SFFFFFNN
0.11/0.45	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.11/0.45	% Starting SubtermCWHack with 17s (1) cores
0.11/0.45	% SubtermCWHack with pid 1098848 completed with status 0
0.11/0.45	% Result found by SubtermCWHack
0.11/0.45	% Preprocessing class: HSSSSMSSSSSNFFN.
0.11/0.45	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.11/0.45	% Starting new_ho_10 with 900s (5) cores
0.11/0.45	% Starting ho_unfolding_6 with 180s (1) cores
0.11/0.45	% Starting sh4l with 180s (1) cores
0.11/0.45	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
0.11/0.45	% No SInE strategy applied
0.11/0.45	% Search class: HGUPS-FFSM22-SFFFFFNN
0.11/0.45	% partial match(2): HUUPS-FFSF22-SFFFFFNN
0.11/0.45	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.11/0.45	% Starting SubtermCWHack with 17s (1) cores
0.11/0.45	% Preprocessing time       : 0.001 s
0.11/0.45	
0.11/0.45	% Proof found!
0.11/0.45	% SZS status Theorem
0.11/0.45	% SZS output start CNFRefutation
0.11/0.45	thf(decl_sort1, type, nat: $tType).
0.11/0.45	thf(decl_23, type, x: nat).
0.11/0.45	thf(decl_24, type, y: nat).
0.11/0.45	thf(decl_25, type, pl: nat > nat > nat).
0.11/0.45	thf(decl_26, type, esk1_0: nat).
0.11/0.45	thf(decl_27, type, esk2_0: nat).
0.11/0.45	thf(decl_28, type, esk3_0: nat).
0.11/0.45	thf(decl_29, type, esk4_0: nat).
0.11/0.45	thf(satz7, axiom, ![X3:nat, X4:nat]:(((X4)!=(pl @ X3 @ X4))), file('/export/starexec/sandbox/tmp/tmp.7WSgs5nxcq/E---3.1_1098831.p', satz7)).
0.11/0.45	thf(satz9b, conjecture, ~((~(~((~((((x)!=(y))<=~(![X2:nat]:(((y)!=(pl @ x @ X2))))))<=(~(~(![X2:nat]:(((y)!=(pl @ x @ X2)))))<=~(![X2:nat]:(((x)!=(pl @ y @ X2))))))))<=(~(~(![X2:nat]:(((x)!=(pl @ y @ X2)))))<=((x)=(y))))), file('/export/starexec/sandbox/tmp/tmp.7WSgs5nxcq/E---3.1_1098831.p', satz9b)).
0.11/0.45	thf(satz5, axiom, ![X3:nat, X4:nat, X5:nat]:(((pl @ (pl @ X3 @ X4) @ X5)=(pl @ X3 @ (pl @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.7WSgs5nxcq/E---3.1_1098831.p', satz5)).
0.11/0.45	thf(satz6, axiom, ![X3:nat, X4:nat]:(((pl @ X3 @ X4)=(pl @ X4 @ X3))), file('/export/starexec/sandbox/tmp/tmp.7WSgs5nxcq/E---3.1_1098831.p', satz6)).
0.11/0.45	thf(c_0_4, plain, ![X3:nat, X4:nat]:(((X4)!=(pl @ X3 @ X4))), inference(fof_simplification,[status(thm)],[satz7])).
0.11/0.45	thf(c_0_5, negated_conjecture, ~(~((~(~((~((((x)!=(y))<=~(![X2:nat]:(((y)!=(pl @ x @ X2))))))<=(~(~(![X2:nat]:(((y)!=(pl @ x @ X2)))))<=~(![X2:nat]:(((x)!=(pl @ y @ X2))))))))<=(~(~(![X2:nat]:(((x)!=(pl @ y @ X2)))))<=((x)=(y)))))), inference(assume_negation,[status(cth)],[satz9b])).
0.11/0.45	thf(c_0_6, plain, ![X24:nat, X25:nat]:(((X25)!=(pl @ X24 @ X25))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])])).
0.11/0.45	thf(c_0_7, plain, ![X26:nat, X27:nat, X28:nat]:(((pl @ (pl @ X26 @ X27) @ X28)=(pl @ X26 @ (pl @ X27 @ X28)))), inference(variable_rename,[status(thm)],[satz5])).
0.11/0.45	thf(c_0_8, negated_conjecture, ~(~(((((x)=(y))=>~(~(![X2:nat]:(((x)!=(pl @ y @ X2))))))=>~(~(((~(![X2:nat]:(((x)!=(pl @ y @ X2))))=>~(~(![X2:nat]:(((y)!=(pl @ x @ X2))))))=>~((~(![X2:nat]:(((y)!=(pl @ x @ X2))))=>((x)!=(y)))))))))), inference(fof_simplification,[status(thm)],[c_0_5])).
0.11/0.45	thf(c_0_9, plain, ![X3:nat, X2:nat]:(((X2)!=(pl @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.11/0.45	thf(c_0_10, plain, ![X2:nat, X3:nat, X4:nat]:(((pl @ (pl @ X2 @ X3) @ X4)=(pl @ X2 @ (pl @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.11/0.45	thf(c_0_11, plain, ![X22:nat, X23:nat]:(((pl @ X22 @ X23)=(pl @ X23 @ X22))), inference(variable_rename,[status(thm)],[satz6])).
0.11/0.45	thf(c_0_12, negated_conjecture, ((((((y)=(pl @ x @ esk4_0))|((x)=(pl @ y @ esk2_0))|((x)=(y)))&(((x)=(y))|((x)=(pl @ y @ esk2_0))|((x)=(y))))&((((y)=(pl @ x @ esk4_0))|((y)=(pl @ x @ esk3_0))|((x)=(y)))&(((x)=(y))|((y)=(pl @ x @ esk3_0))|((x)=(y)))))&(((((y)=(pl @ x @ esk4_0))|((x)=(pl @ y @ esk2_0))|((x)=(pl @ y @ esk1_0)))&(((x)=(y))|((x)=(pl @ y @ esk2_0))|((x)=(pl @ y @ esk1_0))))&((((y)=(pl @ x @ esk4_0))|((y)=(pl @ x @ esk3_0))|((x)=(pl @ y @ esk1_0)))&(((x)=(y))|((y)=(pl @ x @ esk3_0))|((x)=(pl @ y @ esk1_0)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
0.11/0.45	thf(c_0_13, plain, ![X2:nat, X3:nat, X4:nat]:(((pl @ X2 @ (pl @ X3 @ X4))!=(X4))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
0.11/0.45	thf(c_0_14, plain, ![X3:nat, X2:nat]:(((pl @ X2 @ X3)=(pl @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_11])).
0.11/0.45	thf(c_0_15, negated_conjecture, (((x)=(y))|((x)=(pl @ y @ esk2_0))|((x)=(y))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.11/0.45	thf(c_0_16, plain, ![X2:nat, X4:nat, X3:nat]:(((pl @ X2 @ (pl @ X3 @ X4))!=(X3))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
0.11/0.45	thf(c_0_17, negated_conjecture, (((y)=(x))|((x)=(pl @ y @ esk2_0))), inference(cn,[status(thm)],[c_0_15])).
0.11/0.45	thf(c_0_18, negated_conjecture, ![X2:nat]:((((x)=(y))|((pl @ X2 @ x)!=(y)))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
0.11/0.45	thf(c_0_19, negated_conjecture, (((x)=(y))|((y)=(pl @ x @ esk3_0))|((x)=(y))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.11/0.45	thf(c_0_20, negated_conjecture, ![X2:nat]:((((x)=(y))|((pl @ x @ X2)!=(y)))), inference(spm,[status(thm)],[c_0_18, c_0_14])).
0.11/0.45	thf(c_0_21, negated_conjecture, (((y)=(x))|((y)=(pl @ x @ esk3_0))), inference(cn,[status(thm)],[c_0_19])).
0.11/0.45	thf(c_0_22, negated_conjecture, (((y)=(pl @ x @ esk4_0))|((x)=(pl @ y @ esk2_0))|((x)=(pl @ y @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.11/0.45	thf(c_0_23, negated_conjecture, ((x)=(y)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
0.11/0.45	thf(c_0_24, plain, ![X3:nat, X2:nat]:(((pl @ X2 @ X3)!=(X2))), inference(spm,[status(thm)],[c_0_9, c_0_14])).
0.11/0.45	thf(c_0_25, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23]), c_0_23]), c_0_23]), c_0_24]), c_0_24]), c_0_24]), ['proof']).
0.11/0.45	% SZS output end CNFRefutation
0.11/0.45	% Parsed axioms                        : 9
0.11/0.45	% Removed by relevancy pruning/SinE    : 0
0.11/0.45	% Initial clauses                      : 16
0.11/0.45	% Removed in clause preprocessing      : 5
0.11/0.45	% Initial clauses in saturation        : 11
0.11/0.45	% Processed clauses                    : 55
0.11/0.45	% ...of these trivial                  : 1
0.11/0.45	% ...subsumed                          : 28
0.11/0.45	% ...remaining for further processing  : 25
0.11/0.45	% Other redundant clauses eliminated   : 0
0.11/0.45	% Clauses deleted for lack of memory   : 0
0.11/0.45	% Backward-subsumed                    : 0
0.11/0.45	% Backward-rewritten                   : 13
0.11/0.45	% Generated clauses                    : 90
0.11/0.45	% ...of the previous two non-redundant : 87
0.11/0.45	% ...aggressively subsumed             : 0
0.11/0.45	% Contextual simplify-reflections      : 0
0.11/0.45	% Paramodulations                      : 90
0.11/0.45	% Factorizations                       : 0
0.11/0.45	% NegExts                              : 0
0.11/0.45	% Equation resolutions                 : 0
0.11/0.45	% Disequality decompositions           : 0
0.11/0.45	% Total rewrite steps                  : 57
0.11/0.45	% ...of those cached                   : 46
0.11/0.45	% Propositional unsat checks           : 0
0.11/0.45	%    Propositional check models        : 0
0.11/0.45	%    Propositional check unsatisfiable : 0
0.11/0.45	%    Propositional clauses             : 0
0.11/0.45	%    Propositional clauses after purity: 0
0.11/0.45	%    Propositional unsat core size     : 0
0.11/0.45	%    Propositional preprocessing time  : 0.000
0.11/0.45	%    Propositional encoding time       : 0.000
0.11/0.45	%    Propositional solver time         : 0.000
0.11/0.45	%    Success case prop preproc time    : 0.000
0.11/0.45	%    Success case prop encoding time   : 0.000
0.11/0.45	%    Success case prop solver time     : 0.000
0.11/0.45	% Current number of processed clauses  : 12
0.11/0.45	%    Positive orientable unit clauses  : 2
0.11/0.45	%    Positive unorientable unit clauses: 1
0.11/0.45	%    Negative unit clauses             : 9
0.11/0.45	%    Non-unit-clauses                  : 0
0.11/0.45	% Current number of unprocessed clauses: 34
0.11/0.45	% ...number of literals in the above   : 42
0.11/0.45	% Current number of archived formulas  : 0
0.11/0.45	% Current number of archived clauses   : 13
0.11/0.45	% Clause-clause subsumption calls (NU) : 96
0.11/0.45	% Rec. Clause-clause subsumption calls : 96
0.11/0.45	% Non-unit clause-clause subsumptions  : 5
0.11/0.45	% Unit Clause-clause subsumption calls : 12
0.11/0.45	% Rewrite failures with RHS unbound    : 0
0.11/0.45	% BW rewrite match attempts            : 3
0.11/0.45	% BW rewrite match successes           : 3
0.11/0.45	% Condensation attempts                : 0
0.11/0.45	% Condensation successes               : 0
0.11/0.45	% Termbank termtop insertions          : 1237
0.11/0.45	% Search garbage collected termcells   : 155
0.11/0.45	
0.11/0.45	% -------------------------------------------------
0.11/0.45	% User time                : 0.003 s
0.11/0.45	% System time              : 0.003 s
0.11/0.45	% Total time               : 0.006 s
0.11/0.45	% Maximum resident set size: 3636 pages
0.11/0.45	
0.11/0.45	% -------------------------------------------------
0.11/0.45	% User time                : 0.004 s
0.11/0.45	% System time              : 0.008 s
0.11/0.45	% Total time               : 0.012 s
0.11/0.45	% Maximum resident set size: 4864 pages
0.11/0.45	% E exiting
0.11/0.45	EOF