0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.17/0.45	% Computer : n022.cluster.edu
0.17/0.45	% Model    : x86_64 x86_64
0.17/0.45	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.45	% Memory   : 8046.5625MB
0.17/0.45	% OS       : Linux 6.8.0-71-generic
0.17/0.45	% CPULimit : 1440
0.17/0.45	% WCLimit  : 180
0.17/0.45	% DateTime : Mon Jul 27 13:47:13 UTC 2026
0.17/0.45	% CPUTime  : 
0.17/0.45	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.25/0.52	Running higher-order theorem proving
0.35/0.62	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.ZuXKdg0bxO/E---3.1_985837.p
0.37/0.99	% Version: 3.5.1-ho
0.37/0.99	% Preprocessing class: HSLMSMSMLMLCHSA.
0.37/0.99	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.37/0.99	% Starting new_ho_10 with 900s (5) cores
0.37/0.99	% Starting ho_unfolding_6 with 180s (1) cores
0.37/0.99	% Starting sh4l with 180s (1) cores
0.37/0.99	% Starting ehoh_best_nonlift_nonlambdatoforall with 180s (1) cores
0.37/0.99	% new_ho_10 with pid 985850 completed with status 0
0.37/0.99	% Result found by new_ho_10
0.37/0.99	% Preprocessing class: HSLMSMSMLMLCHSA.
0.37/0.99	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.37/0.99	% Starting new_ho_10 with 900s (5) cores
0.37/0.99	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.37/0.99	% No SInE strategy applied
0.37/0.99	% Search class: HGHSM-FSLM32-MHSMSSBN
0.37/0.99	% Scheduled 5 strats onto 5 cores with 900 seconds (900 total)
0.37/0.99	% Starting SubtermCWHack with 91s (1) cores
0.37/0.99	% Starting new_ho_10 with 541s (1) cores
0.37/0.99	% Starting ho_unfolding_6 with 91s (1) cores
0.37/0.99	% Starting sh4l with 91s (1) cores
0.37/0.99	% Starting ehoh_best_nonlift_nonlambdatoforall with 86s (1) cores
0.37/0.99	% new_ho_10 with pid 985858 completed with status 0
0.37/0.99	% Result found by new_ho_10
0.37/0.99	% Preprocessing class: HSLMSMSMLMLCHSA.
0.37/0.99	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.37/0.99	% Starting new_ho_10 with 900s (5) cores
0.37/0.99	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.37/0.99	% No SInE strategy applied
0.37/0.99	% Search class: HGHSM-FSLM32-MHSMSSBN
0.37/0.99	% Scheduled 5 strats onto 5 cores with 900 seconds (900 total)
0.37/0.99	% Starting SubtermCWHack with 91s (1) cores
0.37/0.99	% Starting new_ho_10 with 541s (1) cores
0.37/0.99	% Preprocessing time       : 0.030 s
0.37/0.99	% Presaturation interreduction done
0.37/0.99	
0.37/0.99	% Proof found!
0.37/0.99	% SZS status Theorem
0.37/0.99	% SZS output start CNFRefutation
0.37/0.99	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.37/0.99	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.37/0.99	thf(decl_26, type, in: $i > $i > $o).
0.37/0.99	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.37/0.99	thf(decl_125, type, n_is: $i > $i > $o).
0.37/0.99	thf(decl_163, type, n_ts: $i > $i > $i).
0.37/0.99	thf(decl_190, type, frac: $i).
0.37/0.99	thf(decl_192, type, num: $i > $i).
0.37/0.99	thf(decl_193, type, den: $i > $i).
0.37/0.99	thf(decl_194, type, n_eq: $i > $i > $o).
0.37/0.99	thf(decl_249, type, esk51_0: $i).
0.37/0.99	thf(decl_250, type, esk52_0: $i).
0.37/0.99	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.ZuXKdg0bxO/E---3.1_985837.p', def_e_is)).
0.37/0.99	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.ZuXKdg0bxO/E---3.1_985837.p', def_all_of)).
0.37/0.99	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.ZuXKdg0bxO/E---3.1_985837.p', def_is_of)).
0.37/0.99	thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox/tmp/tmp.ZuXKdg0bxO/E---3.1_985837.p', def_n_eq)).
0.37/0.99	thf(def_n_is, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.ZuXKdg0bxO/E---3.1_985837.p', def_n_is)).
0.37/0.99	thf(satz38, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X273:$i]:((in @ X273 @ frac))) @ (^[X274:$i]:((((n_eq @ X274 @ X1))<=((n_eq @ X1 @ X274))))))))), file('/export/starexec/sandbox/tmp/tmp.ZuXKdg0bxO/E---3.1_985837.p', satz38)).
0.37/0.99	thf(c_0_6, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.37/0.99	thf(c_0_7, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.37/0.99	thf(c_0_8, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.37/0.99	thf(c_0_9, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(fof_simplification,[status(thm)],[def_n_eq])).
0.37/0.99	thf(c_0_10, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_6])).
0.37/0.99	thf(c_0_11, negated_conjecture, ~((all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X273:$i]:((in @ X273 @ frac))) @ (^[X274:$i]:((((n_eq @ X274 @ X1))<=((n_eq @ X1 @ X274)))))))))), inference(assume_negation,[status(cth)],[satz38])).
0.37/0.99	thf(c_0_12, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(apply_def,[status(thm)],[c_0_7, c_0_8])).
0.37/0.99	thf(c_0_13, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(apply_def,[status(thm)],[c_0_9, c_0_10])).
0.37/0.99	thf(c_0_14, negated_conjecture, ~(![X858:$i]:(((in @ X858 @ frac)=>![X857:$i]:(((in @ X857 @ frac)=>(((n_ts @ (num @ X858) @ (den @ X857))=(n_ts @ (num @ X857) @ (den @ X858)))=>((n_ts @ (num @ X857) @ (den @ X858))=(n_ts @ (num @ X858) @ (den @ X857))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11]), c_0_12]), c_0_13])])).
0.37/0.99	thf(c_0_15, negated_conjecture, ((in @ esk51_0 @ frac)&((in @ esk52_0 @ frac)&(((n_ts @ (num @ esk51_0) @ (den @ esk52_0))=(n_ts @ (num @ esk52_0) @ (den @ esk51_0)))&((n_ts @ (num @ esk52_0) @ (den @ esk51_0))!=(n_ts @ (num @ esk51_0) @ (den @ esk52_0)))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])).
0.37/0.99	thf(c_0_16, negated_conjecture, ((n_ts @ (num @ esk51_0) @ (den @ esk52_0))=(n_ts @ (num @ esk52_0) @ (den @ esk51_0))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.37/0.99	thf(c_0_17, negated_conjecture, ((n_ts @ (num @ esk52_0) @ (den @ esk51_0))!=(n_ts @ (num @ esk51_0) @ (den @ esk52_0))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.37/0.99	thf(c_0_18, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_16, c_0_17]), ['proof']).
0.37/0.99	% SZS output end CNFRefutation
0.37/0.99	% Parsed axioms                        : 531
0.37/0.99	% Removed by relevancy pruning/SinE    : 0
0.37/0.99	% Initial clauses                      : 1741
0.37/0.99	% Removed in clause preprocessing      : 1122
0.37/0.99	% Initial clauses in saturation        : 619
0.37/0.99	% Processed clauses                    : 4
0.37/0.99	% ...of these trivial                  : 0
0.37/0.99	% ...subsumed                          : 0
0.37/0.99	% ...remaining for further processing  : 3
0.37/0.99	% Other redundant clauses eliminated   : 0
0.37/0.99	% Clauses deleted for lack of memory   : 0
0.37/0.99	% Backward-subsumed                    : 0
0.37/0.99	% Backward-rewritten                   : 0
0.37/0.99	% Generated clauses                    : 0
0.37/0.99	% ...of the previous two non-redundant : 0
0.37/0.99	% ...aggressively subsumed             : 0
0.37/0.99	% Contextual simplify-reflections      : 0
0.37/0.99	% Paramodulations                      : 0
0.37/0.99	% Factorizations                       : 0
0.37/0.99	% NegExts                              : 0
0.37/0.99	% Equation resolutions                 : 0
0.37/0.99	% Disequality decompositions           : 0
0.37/0.99	% Total rewrite steps                  : 0
0.37/0.99	% ...of those cached                   : 0
0.37/0.99	% Propositional unsat checks           : 0
0.37/0.99	%    Propositional check models        : 0
0.37/0.99	%    Propositional check unsatisfiable : 0
0.37/0.99	%    Propositional clauses             : 0
0.37/0.99	%    Propositional clauses after purity: 0
0.37/0.99	%    Propositional unsat core size     : 0
0.37/0.99	%    Propositional preprocessing time  : 0.000
0.37/0.99	%    Propositional encoding time       : 0.000
0.37/0.99	%    Propositional solver time         : 0.000
0.37/0.99	%    Success case prop preproc time    : 0.000
0.37/0.99	%    Success case prop encoding time   : 0.000
0.37/0.99	%    Success case prop solver time     : 0.000
0.37/0.99	% Current number of processed clauses  : 3
0.37/0.99	%    Positive orientable unit clauses  : 2
0.37/0.99	%    Positive unorientable unit clauses: 0
0.37/0.99	%    Negative unit clauses             : 1
0.37/0.99	%    Non-unit-clauses                  : 0
0.37/0.99	% Current number of unprocessed clauses: 615
0.37/0.99	% ...number of literals in the above   : 2696
0.37/0.99	% Current number of archived formulas  : 0
0.37/0.99	% Current number of archived clauses   : 0
0.37/0.99	% Clause-clause subsumption calls (NU) : 0
0.37/0.99	% Rec. Clause-clause subsumption calls : 0
0.37/0.99	% Non-unit clause-clause subsumptions  : 0
0.37/0.99	% Unit Clause-clause subsumption calls : 0
0.37/0.99	% Rewrite failures with RHS unbound    : 0
0.37/0.99	% BW rewrite match attempts            : 0
0.37/0.99	% BW rewrite match successes           : 0
0.37/0.99	% Condensation attempts                : 4
0.37/0.99	% Condensation successes               : 0
0.37/0.99	% Termbank termtop insertions          : 181672
0.37/0.99	% Search garbage collected termcells   : 72843
0.37/0.99	
0.37/0.99	% -------------------------------------------------
0.37/0.99	% User time                : 0.253 s
0.37/0.99	% System time              : 0.043 s
0.37/0.99	% Total time               : 0.296 s
0.37/0.99	% Maximum resident set size: 13712 pages
0.37/0.99	
0.37/0.99	% -------------------------------------------------
0.37/0.99	% User time                : 0.396 s
0.37/0.99	% System time              : 0.115 s
0.37/0.99	% Total time               : 0.511 s
0.37/0.99	% Maximum resident set size: 5376 pages
0.37/0.99	% E exiting
0.37/0.99	EOF