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 : n006.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 14:18:04 UTC 2026
0.11/0.37	% CPUTime  : 
0.11/0.37	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.41	Running higher-order theorem proving
0.11/0.45	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.x7yL3pIiMj/E---3.1_2912679.p
0.20/0.50	% Version: 3.5.1-ho
0.20/0.50	% Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.50	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.50	% Starting lpo1_fix with 540s (3) cores
0.20/0.50	% Starting full_lambda_9 with 180s (1) cores
0.20/0.50	% Starting almost_fo_4 with 180s (1) cores
0.20/0.50	% Starting new_ho_9 with 180s (1) cores
0.20/0.50	% Starting pre_casc_4 with 180s (1) cores
0.20/0.50	% Starting ho_unfolding_6 with 180s (1) cores
0.20/0.50	% pre_casc_4 with pid 2912696 completed with status 0
0.20/0.50	% Result found by pre_casc_4
0.20/0.50	% Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.50	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.50	% Starting lpo1_fix with 540s (3) cores
0.20/0.50	% Starting full_lambda_9 with 180s (1) cores
0.20/0.50	% Starting almost_fo_4 with 180s (1) cores
0.20/0.50	% Starting new_ho_9 with 180s (1) cores
0.20/0.50	% Starting pre_casc_4 with 180s (1) cores
0.20/0.50	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
0.20/0.50	% SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.20/0.50	% Search class: HGUSM-FFMM31-DHSMMSBN
0.20/0.50	% partial match(3): HGHSM-FFMM31-SHSSMSBN
0.20/0.50	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.20/0.50	% Starting SubtermCWHack with 17s (1) cores
0.20/0.50	% SubtermCWHack with pid 2912698 completed with status 0
0.20/0.50	% Result found by SubtermCWHack
0.20/0.50	% Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.50	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.50	% Starting lpo1_fix with 540s (3) cores
0.20/0.50	% Starting full_lambda_9 with 180s (1) cores
0.20/0.50	% Starting almost_fo_4 with 180s (1) cores
0.20/0.50	% Starting new_ho_9 with 180s (1) cores
0.20/0.50	% Starting pre_casc_4 with 180s (1) cores
0.20/0.50	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
0.20/0.50	% SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.20/0.50	% Search class: HGUSM-FFMM31-DHSMMSBN
0.20/0.50	% partial match(3): HGHSM-FFMM31-SHSSMSBN
0.20/0.50	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.20/0.50	% Starting SubtermCWHack with 17s (1) cores
0.20/0.50	% Preprocessing time       : 0.004 s
0.20/0.50	
0.20/0.50	% Proof found!
0.20/0.50	% SZS status Theorem
0.20/0.50	% SZS output start CNFRefutation
0.20/0.50	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.20/0.50	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.20/0.50	thf(decl_26, type, in: $i > $i > $o).
0.20/0.50	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.20/0.50	thf(decl_124, type, nat: $i).
0.20/0.50	thf(decl_125, type, n_is: $i > $i > $o).
0.20/0.50	thf(decl_143, type, n_pl: $i > $i > $i).
0.20/0.50	thf(decl_154, type, esk1_0: $i).
0.20/0.50	thf(decl_155, type, esk2_0: $i).
0.20/0.50	thf(decl_156, type, esk3_0: $i).
0.20/0.50	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.x7yL3pIiMj/E---3.1_2912679.p', def_e_is)).
0.20/0.50	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:((((is_of @ X4 @ X3))=>((X2 @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.x7yL3pIiMj/E---3.1_2912679.p', def_all_of)).
0.20/0.50	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.x7yL3pIiMj/E---3.1_2912679.p', def_is_of)).
0.20/0.50	thf(satz19b, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X248:$i]:((in @ X248 @ nat))) @ (^[X249:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((((n_is @ X1 @ X249))=>((n_is @ (n_pl @ X1 @ X4) @ (n_pl @ X249 @ X4))))))))))))), file('/export/starexec/sandbox/tmp/tmp.x7yL3pIiMj/E---3.1_2912679.p', satz19b)).
0.20/0.50	thf(def_n_is, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.x7yL3pIiMj/E---3.1_2912679.p', def_n_is)).
0.20/0.50	thf(c_0_5, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.20/0.50	thf(c_0_6, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.20/0.50	thf(c_0_7, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.20/0.50	thf(c_0_8, negated_conjecture, ~((all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X248:$i]:((in @ X248 @ nat))) @ (^[X249:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((((n_is @ X1 @ X249))=>((n_is @ (n_pl @ X1 @ X4) @ (n_pl @ X249 @ X4)))))))))))))), inference(assume_negation,[status(cth)],[satz19b])).
0.20/0.50	thf(c_0_9, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_5])).
0.20/0.50	thf(c_0_10, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(apply_def,[status(thm)],[c_0_6, c_0_7])).
0.20/0.50	thf(c_0_11, negated_conjecture, ~(![X358:$i]:(((in @ X358 @ nat)=>![X357:$i]:(((in @ X357 @ nat)=>![X356:$i]:(((in @ X356 @ nat)=>(((X358)=(X357))=>((n_pl @ X358 @ X356)=(n_pl @ X357 @ X356)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8]), c_0_9]), c_0_10])).
0.20/0.50	thf(c_0_12, negated_conjecture, ((in @ esk1_0 @ nat)&((in @ esk2_0 @ nat)&((in @ esk3_0 @ nat)&(((esk1_0)=(esk2_0))&((n_pl @ esk1_0 @ esk3_0)!=(n_pl @ esk2_0 @ esk3_0)))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])).
0.20/0.50	thf(c_0_13, negated_conjecture, ((n_pl @ esk1_0 @ esk3_0)!=(n_pl @ esk2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.20/0.50	thf(c_0_14, negated_conjecture, ((esk1_0)=(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.20/0.50	thf(c_0_15, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])]), ['proof']).
0.20/0.50	% SZS output end CNFRefutation
0.20/0.50	% Parsed axioms                        : 370
0.20/0.50	% Removed by relevancy pruning/SinE    : 298
0.20/0.50	% Initial clauses                      : 112
0.20/0.50	% Removed in clause preprocessing      : 3
0.20/0.50	% Initial clauses in saturation        : 109
0.20/0.50	% Processed clauses                    : 27
0.20/0.50	% ...of these trivial                  : 3
0.20/0.50	% ...subsumed                          : 0
0.20/0.50	% ...remaining for further processing  : 23
0.20/0.50	% Other redundant clauses eliminated   : 0
0.20/0.50	% Clauses deleted for lack of memory   : 0
0.20/0.50	% Backward-subsumed                    : 0
0.20/0.50	% Backward-rewritten                   : 0
0.20/0.50	% Generated clauses                    : 6
0.20/0.50	% ...of the previous two non-redundant : 5
0.20/0.50	% ...aggressively subsumed             : 0
0.20/0.50	% Contextual simplify-reflections      : 0
0.20/0.50	% Paramodulations                      : 4
0.20/0.50	% Factorizations                       : 0
0.20/0.50	% NegExts                              : 0
0.20/0.50	% Equation resolutions                 : 1
0.20/0.50	% Disequality decompositions           : 0
0.20/0.50	% Total rewrite steps                  : 6
0.20/0.50	% ...of those cached                   : 1
0.20/0.50	% Propositional unsat checks           : 0
0.20/0.50	%    Propositional check models        : 0
0.20/0.50	%    Propositional check unsatisfiable : 0
0.20/0.50	%    Propositional clauses             : 0
0.20/0.50	%    Propositional clauses after purity: 0
0.20/0.50	%    Propositional unsat core size     : 0
0.20/0.50	%    Propositional preprocessing time  : 0.000
0.20/0.50	%    Propositional encoding time       : 0.000
0.20/0.50	%    Propositional solver time         : 0.000
0.20/0.50	%    Success case prop preproc time    : 0.000
0.20/0.50	%    Success case prop encoding time   : 0.000
0.20/0.50	%    Success case prop solver time     : 0.000
0.20/0.50	% Current number of processed clauses  : 23
0.20/0.50	%    Positive orientable unit clauses  : 16
0.20/0.50	%    Positive unorientable unit clauses: 0
0.20/0.50	%    Negative unit clauses             : 3
0.20/0.50	%    Non-unit-clauses                  : 4
0.20/0.50	% Current number of unprocessed clauses: 87
0.20/0.50	% ...number of literals in the above   : 272
0.20/0.50	% Current number of archived formulas  : 0
0.20/0.50	% Current number of archived clauses   : 0
0.20/0.50	% Clause-clause subsumption calls (NU) : 5
0.20/0.50	% Rec. Clause-clause subsumption calls : 5
0.20/0.50	% Non-unit clause-clause subsumptions  : 0
0.20/0.50	% Unit Clause-clause subsumption calls : 5
0.20/0.50	% Rewrite failures with RHS unbound    : 0
0.20/0.50	% BW rewrite match attempts            : 0
0.20/0.50	% BW rewrite match successes           : 0
0.20/0.50	% Condensation attempts                : 0
0.20/0.50	% Condensation successes               : 0
0.20/0.50	% Termbank termtop insertions          : 15086
0.20/0.50	% Search garbage collected termcells   : 5738
0.20/0.50	
0.20/0.50	% -------------------------------------------------
0.20/0.50	% User time                : 0.011 s
0.20/0.50	% System time              : 0.005 s
0.20/0.50	% Total time               : 0.016 s
0.20/0.50	% Maximum resident set size: 5232 pages
0.20/0.50	
0.20/0.50	% -------------------------------------------------
0.20/0.50	% User time                : 0.022 s
0.20/0.50	% System time              : 0.009 s
0.20/0.50	% Total time               : 0.031 s
0.20/0.50	% Maximum resident set size: 5120 pages
0.20/0.50	% E exiting
0.20/0.51	EOF