%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO290^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:42:42 AM UTC 2026
% Result : Theorem 0.23s 0.27s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO290^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n011.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 16:43:31 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.25 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=300 /export/starexec/sandbox/tmp/tmp.jtG0U8yTei/E---3.1_328087.p
% 0.23/0.27 % Version: 3.5.1-ho
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSMNSSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting sh3 with 1500s (5) cores
% 0.23/0.27 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.23/0.27 % Starting sh2lt with 300s (1) cores
% 0.23/0.27 % Starting ho_unfolding_1 with 300s (1) cores
% 0.23/0.27 % sh2lt with pid 328116 completed with status 0
% 0.23/0.27 % Result found by sh2lt
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSMNSSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting sh3 with 1500s (5) cores
% 0.23/0.27 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.23/0.27 % Starting sh2lt with 300s (1) cores
% 0.23/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.23/0.27 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.23/0.27 % Search class: HUUSF-FFSF11-SSSFFFNN
% 0.23/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.27 % SubtermCWHack with pid 328118 completed with status 0
% 0.23/0.27 % Result found by SubtermCWHack
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSMNSSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting sh3 with 1500s (5) cores
% 0.23/0.27 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.23/0.27 % Starting sh2lt with 300s (1) cores
% 0.23/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.23/0.27 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.23/0.27 % Search class: HUUSF-FFSF11-SSSFFFNN
% 0.23/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.27 % Preprocessing time : 0.001 s
% 0.23/0.27
% 0.23/0.27 % Proof found!
% 0.23/0.27 % SZS status Theorem
% 0.23/0.27 % SZS output start CNFRefutation
% 0.23/0.27 thf(decl_sort1, type, a: $tType).
% 0.23/0.27 thf(decl_23, type, g2: a > a).
% 0.23/0.27 thf(decl_24, type, g1: a > a).
% 0.23/0.27 thf(decl_25, type, p: (a > a) > $o).
% 0.23/0.27 thf(decl_26, type, esk1_0: a > a).
% 0.23/0.27 thf(cTRANS_BUG_EX2, conjecture, (~((p @ (^[X1:a]:(g1 @ (g2 @ X1)))))|(p @ (^[X2:a]:(g1 @ (g2 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.jtG0U8yTei/E---3.1_328087.p', cTRANS_BUG_EX2)).
% 0.23/0.27 thf(c_0_1, negated_conjecture, ~((~((p @ (^[X1:a]:(g1 @ (g2 @ X1)))))|(p @ (^[X2:a]:(g1 @ (g2 @ X2)))))), inference(assume_negation,[status(cth)],[cTRANS_BUG_EX2])).
% 0.23/0.27 thf(c_0_2, negated_conjecture, ~((~(p @ (^[Z0:a]:(g1 @ (g2 @ Z0))))|(p @ (^[Z0:a]:(g1 @ (g2 @ Z0)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])).
% 0.23/0.27 thf(c_0_3, negated_conjecture, ((p @ (^[Z0:a]:(g1 @ (g2 @ Z0))))&~(p @ (^[Z0:a]:(g1 @ (g2 @ Z0))))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])).
% 0.23/0.27 thf(c_0_4, plain, ![X3:a]:(((esk1_0 @ X3)=(g1 @ (g2 @ X3)))), introduced(definition)).
% 0.23/0.27 thf(c_0_5, negated_conjecture, (((p @ esk1_0))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.23/0.27 thf(c_0_6, negated_conjecture, ~((((p @ esk1_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.23/0.27 thf(c_0_7, negated_conjecture, (p @ esk1_0), inference(cn,[status(thm)],[c_0_5])).
% 0.23/0.27 thf(c_0_8, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_6]), c_0_7])]), ['proof']).
% 0.23/0.27 % SZS output end CNFRefutation
% 0.23/0.27 % Parsed axioms : 5
% 0.23/0.27 % Removed by relevancy pruning/SinE : 4
% 0.23/0.27 % Initial clauses : 3
% 0.23/0.27 % Removed in clause preprocessing : 0
% 0.23/0.27 % Initial clauses in saturation : 3
% 0.23/0.27 % Processed clauses : 2
% 0.23/0.27 % ...of these trivial : 0
% 0.23/0.27 % ...subsumed : 0
% 0.23/0.27 % ...remaining for further processing : 1
% 0.23/0.27 % Other redundant clauses eliminated : 0
% 0.23/0.27 % Clauses deleted for lack of memory : 0
% 0.23/0.27 % Backward-subsumed : 0
% 0.23/0.27 % Backward-rewritten : 0
% 0.23/0.27 % Generated clauses : 0
% 0.23/0.27 % ...of the previous two non-redundant : 0
% 0.23/0.27 % ...aggressively subsumed : 0
% 0.23/0.27 % Contextual simplify-reflections : 0
% 0.23/0.27 % Paramodulations : 0
% 0.23/0.27 % Factorizations : 0
% 0.23/0.27 % NegExts : 0
% 0.23/0.27 % Equation resolutions : 0
% 0.23/0.27 % Disequality decompositions : 0
% 0.23/0.27 % Total rewrite steps : 1
% 0.23/0.27 % ...of those cached : 0
% 0.23/0.27 % Propositional unsat checks : 0
% 0.23/0.27 % Propositional check models : 0
% 0.23/0.27 % Propositional check unsatisfiable : 0
% 0.23/0.27 % Propositional clauses : 0
% 0.23/0.27 % Propositional clauses after purity: 0
% 0.23/0.27 % Propositional unsat core size : 0
% 0.23/0.27 % Propositional preprocessing time : 0.000
% 0.23/0.27 % Propositional encoding time : 0.000
% 0.23/0.27 % Propositional solver time : 0.000
% 0.23/0.27 % Success case prop preproc time : 0.000
% 0.23/0.27 % Success case prop encoding time : 0.000
% 0.23/0.27 % Success case prop solver time : 0.000
% 0.23/0.27 % Current number of processed clauses : 1
% 0.23/0.27 % Positive orientable unit clauses : 1
% 0.23/0.27 % Positive unorientable unit clauses: 0
% 0.23/0.27 % Negative unit clauses : 0
% 0.23/0.27 % Non-unit-clauses : 0
% 0.23/0.27 % Current number of unprocessed clauses: 1
% 0.23/0.27 % ...number of literals in the above : 1
% 0.23/0.27 % Current number of archived formulas : 0
% 0.23/0.27 % Current number of archived clauses : 0
% 0.23/0.27 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.27 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.27 % Non-unit clause-clause subsumptions : 0
% 0.23/0.27 % Unit Clause-clause subsumption calls : 0
% 0.23/0.27 % Rewrite failures with RHS unbound : 0
% 0.23/0.27 % BW rewrite match attempts : 0
% 0.23/0.27 % BW rewrite match successes : 0
% 0.23/0.27 % Condensation attempts : 0
% 0.23/0.27 % Condensation successes : 0
% 0.23/0.27 % Termbank termtop insertions : 147
% 0.23/0.27 % Search garbage collected termcells : 12
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.002 s
% 0.23/0.27 % System time : 0.002 s
% 0.23/0.27 % Total time : 0.004 s
% 0.23/0.27 % Maximum resident set size: 3628 pages
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.005 s
% 0.23/0.27 % System time : 0.005 s
% 0.23/0.27 % Total time : 0.010 s
% 0.23/0.27 % Maximum resident set size: 4864 pages
% 0.23/0.27 % E exiting
%------------------------------------------------------------------------------