0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.11/0.37	% Computer : n001.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 13:36:36 UTC 2026
0.11/0.37	% CPUTime  : 
0.11/0.37	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.11/0.41	Running higher-order theorem proving
0.11/0.43	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.DnZnv2MaB0/E---3.1_2817453.p
0.20/0.48	% Version: 3.5.1-ho
0.20/0.48	% Preprocessing class: HSSSSMSSMLSNHSN.
0.20/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.48	% Starting new_ho_9 with 900s (5) cores
0.20/0.48	% Starting post_as_ho1 with 180s (1) cores
0.20/0.48	% Starting sh1l with 180s (1) cores
0.20/0.48	% Starting post_as_ho10 with 180s (1) cores
0.20/0.48	% new_ho_9 with pid 2817467 completed with status 0
0.20/0.48	% Result found by new_ho_9
0.20/0.48	% Preprocessing class: HSSSSMSSMLSNHSN.
0.20/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.48	% Starting new_ho_9 with 900s (5) cores
0.20/0.48	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.20/0.48	% No SInE strategy applied
0.20/0.48	% Search class: HGUNF-FFSF11-SHSSMMBN
0.20/0.48	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.20/0.48	% Starting SubtermCWHack with 82s (1) cores
0.20/0.48	% Starting new_ho_9 with 91s (1) cores
0.20/0.48	% Starting new_bool_3 with 82s (1) cores
0.20/0.48	% Starting new_bool_2 with 82s (1) cores
0.20/0.48	% Starting ehoh_best8_lambda with 82s (1) cores
0.20/0.48	% new_bool_3 with pid 2817476 completed with status 0
0.20/0.48	% Result found by new_bool_3
0.20/0.48	% Preprocessing class: HSSSSMSSMLSNHSN.
0.20/0.48	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.48	% Starting new_ho_9 with 900s (5) cores
0.20/0.48	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.20/0.48	% No SInE strategy applied
0.20/0.48	% Search class: HGUNF-FFSF11-SHSSMMBN
0.20/0.48	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.20/0.48	% Starting SubtermCWHack with 82s (1) cores
0.20/0.48	% Starting new_ho_9 with 91s (1) cores
0.20/0.48	% Starting new_bool_3 with 82s (1) cores
0.20/0.48	% Preprocessing time       : 0.001 s
0.20/0.48	% Presaturation interreduction done
0.20/0.48	
0.20/0.48	% Proof found!
0.20/0.48	% SZS status Theorem
0.20/0.48	% SZS output start CNFRefutation
0.20/0.48	thf(decl_23, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.20/0.48	thf(decl_35, type, trans: ($i > $i > $o) > $o).
0.20/0.48	thf(decl_36, type, tc: ($i > $i > $o) > $i > $i > $o).
0.20/0.48	thf(decl_42, type, term: ($i > $i > $o) > $o).
0.20/0.48	thf(decl_43, type, ind: ($i > $i > $o) > $o).
0.20/0.48	thf(decl_52, type, epred1_0: $i > $i > $o).
0.20/0.48	thf(decl_53, type, esk1_1: ($i > $o) > $i).
0.20/0.48	thf(decl_54, type, epred2_2: ($i > $o) > $i > $i > $i > $o).
0.20/0.48	thf(decl_55, type, epred3_0: $i > $o).
0.20/0.48	thf(decl_56, type, esk2_0: $i).
0.20/0.48	thf(decl_57, type, esk3_1: $i > $i).
0.20/0.48	thf(transitive_closure, axiom, ((tc)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:(![X2:$i > $i > $o]:((((((trans @ X2))&((subrel @ X1 @ X2))))=>((X2 @ X3 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.DnZnv2MaB0/E---3.1_2817453.p', transitive_closure)).
0.20/0.48	thf(subrel, axiom, ((subrel)=(^[X1:$i > $i > $o, X2:$i > $i > $o]:(![X3:$i, X4:$i]:((((X1 @ X3 @ X4))=>((X2 @ X3 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.DnZnv2MaB0/E---3.1_2817453.p', subrel)).
0.20/0.48	thf(transitive, axiom, ((trans)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((((X1 @ X3 @ X4))&((X1 @ X4 @ X6))))=>((X1 @ X3 @ X6))))))), file('/export/starexec/sandbox2/tmp/tmp.DnZnv2MaB0/E---3.1_2817453.p', transitive)).
0.20/0.48	thf(satisfying_the_induction_principle, axiom, ((ind)=(^[X1:$i > $i > $o]:(![X8:$i > $o]:(((![X3:$i]:(((![X4:$i]:((((tc @ X1 @ X3 @ X4))=>((X8 @ X4)))))=>((X8 @ X3)))))=>(![X3:$i]:((X8 @ X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.DnZnv2MaB0/E---3.1_2817453.p', satisfying_the_induction_principle)).
0.20/0.48	thf(induction_implies_termination, conjecture, ![X1:$i > $i > $o]:(((ind @ X1)=>(term @ X1))), file('/export/starexec/sandbox2/tmp/tmp.DnZnv2MaB0/E---3.1_2817453.p', induction_implies_termination)).
0.20/0.48	thf(terminating, axiom, ((term)=(^[X1:$i > $i > $o]:(![X7:$i > $o]:(((?[X3:$i]:((X7 @ X3)))=>(?[X3:$i]:((((X7 @ X3))&(![X4:$i]:((((X7 @ X4))=>(~((X1 @ X3 @ X4)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.DnZnv2MaB0/E---3.1_2817453.p', terminating)).
0.20/0.48	thf(c_0_6, plain, ((tc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(![X2:$i > $i > $o]:((((((![X16:$i, X17:$i, X18:$i]:((((((X2 @ X16 @ X17))&((X2 @ X17 @ X18))))=>((X2 @ X16 @ X18))))))&((![X19:$i, X20:$i]:((((Z0 @ X19 @ X20))=>((X2 @ X19 @ X20))))))))=>((X2 @ Z1 @ Z2))))))), inference(fof_simplification,[status(thm)],[transitive_closure])).
0.20/0.48	thf(c_0_7, plain, ((subrel)=(^[Z0:$i > $i > $o, Z1:$i > $i > $o]:(![X3:$i, X4:$i]:((((Z0 @ X3 @ X4))=>((Z1 @ X3 @ X4))))))), inference(fof_simplification,[status(thm)],[subrel])).
0.20/0.48	thf(c_0_8, plain, ((trans)=(^[Z0:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((((Z0 @ X3 @ X4))&((Z0 @ X4 @ X6))))=>((Z0 @ X3 @ X6))))))), inference(fof_simplification,[status(thm)],[transitive])).
0.20/0.48	thf(c_0_9, plain, ((ind)=(^[Z0:$i > $i > $o]:(![X8:$i > $o]:(((![X3:$i]:(((![X4:$i]:((((![X44:$i > $i > $o]:((((((![X45:$i, X46:$i, X47:$i]:((((((X44 @ X45 @ X46))&((X44 @ X46 @ X47))))=>((X44 @ X45 @ X47))))))&((![X48:$i, X49:$i]:((((Z0 @ X48 @ X49))=>((X44 @ X48 @ X49))))))))=>((X44 @ X3 @ X4))))))=>((X8 @ X4)))))=>((X8 @ X3)))))=>(![X3:$i]:((X8 @ X3)))))))), inference(fof_simplification,[status(thm)],[satisfying_the_induction_principle])).
0.20/0.48	thf(c_0_10, plain, ((tc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(![X2:$i > $i > $o]:((((((![X16:$i, X17:$i, X18:$i]:((((((X2 @ X16 @ X17))&((X2 @ X17 @ X18))))=>((X2 @ X16 @ X18))))))&((![X19:$i, X20:$i]:((((Z0 @ X19 @ X20))=>((X2 @ X19 @ X20))))))))=>((X2 @ Z1 @ Z2))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6, c_0_7]), c_0_8])).
0.20/0.48	thf(c_0_11, negated_conjecture, ~(![X1:$i > $i > $o]:(((ind @ X1)=>(term @ X1)))), inference(assume_negation,[status(cth)],[induction_implies_termination])).
0.20/0.48	thf(c_0_12, plain, ((term)=(^[Z0:$i > $i > $o]:(![X7:$i > $o]:(((?[X3:$i]:((X7 @ X3)))=>(?[X3:$i]:((((X7 @ X3))&(![X4:$i]:((((X7 @ X4))=>(~((Z0 @ X3 @ X4)))))))))))))), inference(fof_simplification,[status(thm)],[terminating])).
0.20/0.48	thf(c_0_13, plain, ((ind)=(^[Z0:$i > $i > $o]:(![X8:$i > $o]:(((![X3:$i]:(((![X4:$i]:((((![X44:$i > $i > $o]:((((((![X45:$i, X46:$i, X47:$i]:((((((X44 @ X45 @ X46))&((X44 @ X46 @ X47))))=>((X44 @ X45 @ X47))))))&((![X48:$i, X49:$i]:((((Z0 @ X48 @ X49))=>((X44 @ X48 @ X49))))))))=>((X44 @ X3 @ X4))))))=>((X8 @ X4)))))=>((X8 @ X3)))))=>(![X3:$i]:((X8 @ X3)))))))), inference(apply_def,[status(thm)],[c_0_9, c_0_10])).
0.20/0.48	thf(c_0_14, negated_conjecture, ~(![X1:$i > $i > $o]:((![X158:$i > $o]:((![X159:$i]:((![X160:$i]:((![X161:$i > $i > $o]:(((![X162:$i, X163:$i, X164:$i]:((((X161 @ X162 @ X163)&(X161 @ X163 @ X164))=>(X161 @ X162 @ X164)))&![X165:$i, X166:$i]:(((X1 @ X165 @ X166)=>(X161 @ X165 @ X166))))=>(X161 @ X159 @ X160)))=>(X158 @ X160)))=>(X158 @ X159)))=>![X167:$i]:((X158 @ X167))))=>![X168:$i > $o]:((?[X169:$i]:((X168 @ X169))=>?[X170:$i]:(((X168 @ X170)&![X171:$i]:(((X168 @ X171)=>~((X1 @ X170 @ X171))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11, c_0_12]), c_0_13])).
0.20/0.48	thf(c_0_15, negated_conjecture, ![X173:$i > $o, X175:$i, X177:$i, X178:$i, X179:$i, X180:$i, X181:$i, X182:$i, X185:$i]:((((((~(epred2_2 @ X173 @ X175 @ X177 @ X178)|~(epred2_2 @ X173 @ X175 @ X178 @ X179)|(epred2_2 @ X173 @ X175 @ X177 @ X179)|(X173 @ X175)|(X173 @ X182))&(~(epred1_0 @ X180 @ X181)|(epred2_2 @ X173 @ X175 @ X180 @ X181)|(X173 @ X175)|(X173 @ X182)))&(~(epred2_2 @ X173 @ X175 @ (esk1_1 @ X173) @ X175)|(X173 @ X175)|(X173 @ X182)))&(~(X173 @ (esk1_1 @ X173))|(X173 @ X182)))&((epred3_0 @ esk2_0)&(((epred3_0 @ (esk3_1 @ X185))|~(epred3_0 @ X185))&((epred1_0 @ X185 @ (esk3_1 @ X185))|~(epred3_0 @ X185)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])])).
0.20/0.48	thf(c_0_16, negated_conjecture, ![X7:$i > $o, X4:$i, X3:$i]:(((X7 @ X3)|(X7 @ X4)|~((epred2_2 @ X7 @ X3 @ (esk1_1 @ X7) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.20/0.48	thf(c_0_17, negated_conjecture, ![X3:$i, X6:$i, X10:$i, X7:$i > $o, X4:$i]:(((epred2_2 @ X7 @ X6 @ X3 @ X4)|(X7 @ X6)|(X7 @ X10)|~((epred1_0 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.20/0.48	thf(c_0_18, negated_conjecture, ![X7:$i > $o, X4:$i, X3:$i]:((~((epred2_2 @ (^[Z0:$i]:(~((X7 @ Z0)))) @ X3 @ (esk1_1 @ (^[Z0:$i]:(~((X7 @ Z0))))) @ X3))|~((X7 @ X4))|~((X7 @ X3)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_16])).
0.20/0.48	thf(c_0_19, negated_conjecture, ![X4:$i, X10:$i, X7:$i > $o, X6:$i, X3:$i]:(((epred2_2 @ (^[Z0:$i]:(~((X7 @ Z0)))) @ X3 @ X4 @ X6)|~((epred1_0 @ X4 @ X6))|~((X7 @ X10))|~((X7 @ X3)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_17])).
0.20/0.48	thf(c_0_20, plain, ![X6:$i, X4:$i, X8:$i > $o, X7:$i > $o, X3:$i]:((((^[Z0:$i]:(~((X7 @ Z0))))!=(^[Z0:$i]:(~((X8 @ Z0)))))|~((epred1_0 @ (esk1_1 @ (^[Z0:$i]:(~((X7 @ Z0))))) @ X3))|~((X7 @ X4))|~((X7 @ X3))|~((X8 @ X6))|~((X8 @ X3)))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_18, c_0_19])])])])).
0.20/0.48	thf(c_0_21, negated_conjecture, ![X3:$i, X7:$i > $o]:(((X7 @ X3)|~((X7 @ (esk1_1 @ X7))))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.20/0.48	thf(c_0_22, plain, ![X3:$i, X4:$i, X7:$i > $o, X6:$i]:((~((epred1_0 @ (esk1_1 @ (^[Z0:$i]:(~((X7 @ Z0))))) @ X3))|~((X7 @ X4))|~((X7 @ X3))|~((X7 @ X6)))), inference(er,[status(thm)],[c_0_20])).
0.20/0.48	thf(c_0_23, negated_conjecture, ![X3:$i]:(((epred1_0 @ X3 @ (esk3_1 @ X3))|~((epred3_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.20/0.48	thf(c_0_24, negated_conjecture, ![X7:$i > $o, X3:$i]:(((X7 @ (esk1_1 @ (^[Z0:$i]:(~((X7 @ Z0))))))|~((X7 @ X3)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_21])).
0.20/0.48	thf(c_0_25, negated_conjecture, (epred3_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_15])).
0.20/0.48	thf(c_0_26, negated_conjecture, ![X3:$i, X7:$i > $o, X4:$i]:((~((X7 @ (esk3_1 @ (esk1_1 @ (^[Z0:$i]:(~((X7 @ Z0))))))))|~((epred3_0 @ (esk1_1 @ (^[Z0:$i]:(~((X7 @ Z0)))))))|~((X7 @ X3))|~((X7 @ X4)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
0.20/0.48	thf(c_0_27, negated_conjecture, (epred3_0 @ (esk1_1 @ (^[Z0:$i]:(~((epred3_0 @ Z0)))))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
0.20/0.48	thf(c_0_28, negated_conjecture, ![X3:$i, X4:$i]:((~((epred3_0 @ (esk3_1 @ (esk1_1 @ (^[Z0:$i]:(~((epred3_0 @ Z0))))))))|~((epred3_0 @ X3))|~((epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
0.20/0.48	thf(c_0_29, negated_conjecture, ![X3:$i]:(((epred3_0 @ (esk3_1 @ X3))|~((epred3_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.20/0.48	thf(c_0_30, negated_conjecture, ![X3:$i, X4:$i]:((~((epred3_0 @ X3))|~((epred3_0 @ X4)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_27])])).
0.20/0.48	thf(c_0_31, negated_conjecture, ![X3:$i]:(~((epred3_0 @ X3))), inference(spm,[status(thm)],[c_0_30, c_0_25])).
0.20/0.48	thf(c_0_32, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_25, c_0_31]), ['proof']).
0.20/0.48	% SZS output end CNFRefutation
0.20/0.48	% Parsed axioms                        : 59
0.20/0.48	% Removed by relevancy pruning/SinE    : 0
0.20/0.48	% Initial clauses                      : 36
0.20/0.48	% Removed in clause preprocessing      : 29
0.20/0.48	% Initial clauses in saturation        : 7
0.20/0.48	% Processed clauses                    : 110
0.20/0.48	% ...of these trivial                  : 1
0.20/0.48	% ...subsumed                          : 31
0.20/0.48	% ...remaining for further processing  : 78
0.20/0.48	% Other redundant clauses eliminated   : 17
0.20/0.48	% Clauses deleted for lack of memory   : 0
0.20/0.48	% Backward-subsumed                    : 31
0.20/0.48	% Backward-rewritten                   : 0
0.20/0.48	% Generated clauses                    : 462
0.20/0.48	% ...of the previous two non-redundant : 419
0.20/0.48	% ...aggressively subsumed             : 0
0.20/0.48	% Contextual simplify-reflections      : 0
0.20/0.48	% Paramodulations                      : 373
0.20/0.48	% Factorizations                       : 0
0.20/0.48	% NegExts                              : 9
0.20/0.48	% Equation resolutions                 : 19
0.20/0.48	% Disequality decompositions           : 0
0.20/0.48	% Total rewrite steps                  : 20
0.20/0.48	% ...of those cached                   : 18
0.20/0.48	% Propositional unsat checks           : 0
0.20/0.48	%    Propositional check models        : 0
0.20/0.48	%    Propositional check unsatisfiable : 0
0.20/0.48	%    Propositional clauses             : 0
0.20/0.48	%    Propositional clauses after purity: 0
0.20/0.48	%    Propositional unsat core size     : 0
0.20/0.48	%    Propositional preprocessing time  : 0.000
0.20/0.48	%    Propositional encoding time       : 0.000
0.20/0.48	%    Propositional solver time         : 0.000
0.20/0.48	%    Success case prop preproc time    : 0.000
0.20/0.48	%    Success case prop encoding time   : 0.000
0.20/0.48	%    Success case prop solver time     : 0.000
0.20/0.48	% Current number of processed clauses  : 32
0.20/0.48	%    Positive orientable unit clauses  : 0
0.20/0.48	%    Positive unorientable unit clauses: 1
0.20/0.48	%    Negative unit clauses             : 3
0.20/0.48	%    Non-unit-clauses                  : 28
0.20/0.48	% Current number of unprocessed clauses: 323
0.20/0.48	% ...number of literals in the above   : 742
0.20/0.48	% Current number of archived formulas  : 0
0.20/0.48	% Current number of archived clauses   : 46
0.20/0.48	% Clause-clause subsumption calls (NU) : 582
0.20/0.48	% Rec. Clause-clause subsumption calls : 457
0.20/0.48	% Non-unit clause-clause subsumptions  : 31
0.20/0.48	% Unit Clause-clause subsumption calls : 38
0.20/0.48	% Rewrite failures with RHS unbound    : 0
0.20/0.48	% BW rewrite match attempts            : 22
0.20/0.48	% BW rewrite match successes           : 6
0.20/0.48	% Condensation attempts                : 0
0.20/0.48	% Condensation successes               : 0
0.20/0.48	% Termbank termtop insertions          : 39840
0.20/0.48	% Search garbage collected termcells   : 988
0.20/0.48	
0.20/0.48	% -------------------------------------------------
0.20/0.48	% User time                : 0.017 s
0.20/0.48	% System time              : 0.004 s
0.20/0.48	% Total time               : 0.021 s
0.20/0.48	% Maximum resident set size: 3940 pages
0.20/0.48	
0.20/0.48	% -------------------------------------------------
0.20/0.48	% User time                : 0.066 s
0.20/0.48	% System time              : 0.014 s
0.20/0.48	% Total time               : 0.080 s
0.20/0.48	% Maximum resident set size: 4864 pages
0.20/0.48	% E exiting
0.20/0.49	EOF