%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP198^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:04:39 AM UTC 2026
% Result : Theorem 0.27s 0.49s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP198^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n019.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 20:10:47 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running higher-order theorem proving
% 0.23/0.40 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=300 /export/starexec/sandbox2/tmp/tmp.kqvONspAUv/E---3.1_1287034.p
% 0.27/0.49 % Version: 3.5.1-ho
% 0.27/0.49 % Preprocessing class: HSLMSMSSSSLCHSA.
% 0.27/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.49 % Starting pre_casc_6 with 1500s (5) cores
% 0.27/0.49 % Starting ehoh_best7 with 300s (1) cores
% 0.27/0.49 % Starting new_bool_8 with 300s (1) cores
% 0.27/0.49 % Starting new_ho_11 with 300s (1) cores
% 0.27/0.49 % pre_casc_6 with pid 1287047 completed with status 0
% 0.27/0.49 % Result found by pre_casc_6
% 0.27/0.49 % Preprocessing class: HSLMSMSSSSLCHSA.
% 0.27/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.49 % Starting pre_casc_6 with 1500s (5) cores
% 0.27/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.27/0.49 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.27/0.49 % Search class: HGUSM-FFMF31-DHSFFSBN
% 0.27/0.49 % partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.27/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.49 % Starting pre_casc_6 with 151s (1) cores
% 0.27/0.49 % Starting sh3 with 271s (1) cores
% 0.27/0.49 % Starting ho_unfolding_3 with 271s (1) cores
% 0.27/0.49 % Starting new_ho_10_cnf2 with 271s (1) cores
% 0.27/0.49 % pre_casc_6 with pid 1287052 completed with status 0
% 0.27/0.49 % Result found by pre_casc_6
% 0.27/0.49 % Preprocessing class: HSLMSMSSSSLCHSA.
% 0.27/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.49 % Starting pre_casc_6 with 1500s (5) cores
% 0.27/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.27/0.49 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.27/0.49 % Search class: HGUSM-FFMF31-DHSFFSBN
% 0.27/0.49 % partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.27/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.49 % Starting pre_casc_6 with 151s (1) cores
% 0.27/0.49 % Preprocessing time : 0.004 s
% 0.27/0.49
% 0.27/0.49 % Proof found!
% 0.27/0.49 % SZS status Theorem
% 0.27/0.49 % SZS output start CNFRefutation
% 0.27/0.49 thf(decl_sort1, type, char: $tType).
% 0.27/0.49 thf(decl_sort2, type, real: $tType).
% 0.27/0.49 thf(decl_sort3, type, set_variable_real: $tType).
% 0.27/0.49 thf(decl_sort4, type, produc104944723e_real: $tType).
% 0.27/0.49 thf(decl_sort5, type, produc1020032539e_real: $tType).
% 0.27/0.49 thf(decl_sort6, type, denotational_interp: $tType).
% 0.27/0.49 thf(decl_sort7, type, produc1993135732e_real: $tType).
% 0.27/0.49 thf(decl_26, type, denotational_Consts: denotational_interp > char > real).
% 0.27/0.49 thf(decl_27, type, denotational_Funcs: denotational_interp > char > real > real).
% 0.27/0.49 thf(decl_28, type, denotational_Games: denotational_interp > char > set_variable_real > set_variable_real).
% 0.27/0.49 thf(decl_29, type, denotational_Preds: denotational_interp > char > real > $o).
% 0.27/0.49 thf(decl_30, type, denota1150374853interp: produc1993135732e_real > denotational_interp).
% 0.27/0.49 thf(decl_40, type, if_real: $o > real > real > real).
% 0.27/0.49 thf(decl_49, type, produc2007437005e_real: (char > real > $o) > (char > set_variable_real > set_variable_real) > produc104944723e_real).
% 0.27/0.49 thf(decl_51, type, produc141013715e_real: (char > real > real) > produc104944723e_real > produc1020032539e_real).
% 0.27/0.49 thf(decl_55, type, produc2125489830e_real: (char > real) > produc1020032539e_real > produc1993135732e_real).
% 0.27/0.49 thf(decl_206, type, i: denotational_interp).
% 0.27/0.49 thf(decl_207, type, d: real).
% 0.27/0.49 thf(decl_208, type, f: char).
% 0.27/0.49 thf(decl_265, type, esk48_0: char > real).
% 0.27/0.49 thf(conj_0, conjecture, ((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[X10:char]:(if_real @ (((X10)=(f))) @ d @ (denotational_Consts @ i @ X10))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i))))))=(denotational_Preds @ i)), file('/export/starexec/sandbox2/tmp/tmp.kqvONspAUv/E---3.1_1287034.p', conj_0)).
% 0.27/0.49 thf(fact_0_Preds__mkinterp, axiom, ![X1:char > real, X2:char > real > real, X3:char > real > $o, X4:char > set_variable_real > set_variable_real]:(((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ X1 @ (produc141013715e_real @ X2 @ (produc2007437005e_real @ X3 @ X4)))))=(X3))), file('/export/starexec/sandbox2/tmp/tmp.kqvONspAUv/E---3.1_1287034.p', fact_0_Preds__mkinterp)).
% 0.27/0.49 thf(c_0_2, negated_conjecture, ~(((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[X10:char]:(if_real @ (((X10)=(f))) @ d @ (denotational_Consts @ i @ X10))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i))))))=(denotational_Preds @ i))), inference(assume_negation,[status(cth)],[conj_0])).
% 0.27/0.49 thf(c_0_3, negated_conjecture, ((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[Z0:char]:(if_real @ (((Z0)=(f))) @ d @ (denotational_Consts @ i @ Z0))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i))))))!=(denotational_Preds @ i)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])).
% 0.27/0.49 thf(c_0_4, negated_conjecture, ((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[Z0:char]:(if_real @ (((Z0)=(f))) @ d @ (denotational_Consts @ i @ Z0))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i))))))!=(denotational_Preds @ i)), inference(fof_nnf,[status(thm)],[c_0_3])).
% 0.27/0.49 thf(c_0_5, plain, ![X1490:char]:(((esk48_0 @ X1490)=(if_real @ (((X1490)=(f))) @ d @ (denotational_Consts @ i @ X1490)))), introduced(definition)).
% 0.27/0.49 thf(c_0_6, plain, ![X1282:char > real, X1283:char > real > real, X1284:char > real > $o, X1285:char > set_variable_real > set_variable_real]:(((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ X1282 @ (produc141013715e_real @ X1283 @ (produc2007437005e_real @ X1284 @ X1285)))))=(X1284))), inference(variable_rename,[status(thm)],[fact_0_Preds__mkinterp])).
% 0.27/0.49 thf(c_0_7, negated_conjecture, ((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ esk48_0 @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i))))))!=(denotational_Preds @ i)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4]), c_0_5])).
% 0.27/0.49 thf(c_0_8, plain, ![X1:char > real, X2:char > real > real, X4:char > set_variable_real > set_variable_real, X3:char > real > $o]:(((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ X1 @ (produc141013715e_real @ X2 @ (produc2007437005e_real @ X3 @ X4)))))=(X3))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.27/0.49 thf(c_0_9, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8])]), ['proof']).
% 0.27/0.49 % SZS output end CNFRefutation
% 0.27/0.49 % Parsed axioms : 581
% 0.27/0.49 % Removed by relevancy pruning/SinE : 528
% 0.27/0.49 % Initial clauses : 100
% 0.27/0.49 % Removed in clause preprocessing : 17
% 0.27/0.49 % Initial clauses in saturation : 83
% 0.27/0.49 % Processed clauses : 37
% 0.27/0.49 % ...of these trivial : 0
% 0.27/0.49 % ...subsumed : 12
% 0.27/0.49 % ...remaining for further processing : 25
% 0.27/0.49 % Other redundant clauses eliminated : 24
% 0.27/0.49 % Clauses deleted for lack of memory : 0
% 0.27/0.49 % Backward-subsumed : 0
% 0.27/0.49 % Backward-rewritten : 1
% 0.27/0.49 % Generated clauses : 83
% 0.27/0.49 % ...of the previous two non-redundant : 46
% 0.27/0.49 % ...aggressively subsumed : 0
% 0.27/0.49 % Contextual simplify-reflections : 0
% 0.27/0.49 % Paramodulations : 30
% 0.27/0.49 % Factorizations : 0
% 0.27/0.49 % NegExts : 2
% 0.27/0.49 % Equation resolutions : 30
% 0.27/0.49 % Disequality decompositions : 0
% 0.27/0.49 % Total rewrite steps : 1
% 0.27/0.49 % ...of those cached : 0
% 0.27/0.49 % Propositional unsat checks : 0
% 0.27/0.49 % Propositional check models : 0
% 0.27/0.49 % Propositional check unsatisfiable : 0
% 0.27/0.49 % Propositional clauses : 0
% 0.27/0.49 % Propositional clauses after purity: 0
% 0.27/0.49 % Propositional unsat core size : 0
% 0.27/0.49 % Propositional preprocessing time : 0.000
% 0.27/0.49 % Propositional encoding time : 0.000
% 0.27/0.49 % Propositional solver time : 0.000
% 0.27/0.49 % Success case prop preproc time : 0.000
% 0.27/0.49 % Success case prop encoding time : 0.000
% 0.27/0.49 % Success case prop solver time : 0.000
% 0.27/0.49 % Current number of processed clauses : 24
% 0.27/0.49 % Positive orientable unit clauses : 11
% 0.27/0.49 % Positive unorientable unit clauses: 0
% 0.27/0.49 % Negative unit clauses : 0
% 0.27/0.49 % Non-unit-clauses : 13
% 0.27/0.49 % Current number of unprocessed clauses: 92
% 0.27/0.49 % ...number of literals in the above : 177
% 0.27/0.49 % Current number of archived formulas : 0
% 0.27/0.49 % Current number of archived clauses : 1
% 0.27/0.49 % Clause-clause subsumption calls (NU) : 28
% 0.27/0.49 % Rec. Clause-clause subsumption calls : 27
% 0.27/0.49 % Non-unit clause-clause subsumptions : 12
% 0.27/0.49 % Unit Clause-clause subsumption calls : 5
% 0.27/0.49 % Rewrite failures with RHS unbound : 0
% 0.27/0.49 % BW rewrite match attempts : 1
% 0.27/0.49 % BW rewrite match successes : 1
% 0.27/0.49 % Condensation attempts : 37
% 0.27/0.49 % Condensation successes : 0
% 0.27/0.49 % Termbank termtop insertions : 12964
% 0.27/0.49 % Search garbage collected termcells : 5861
% 0.27/0.49
% 0.27/0.49 % -------------------------------------------------
% 0.27/0.49 % User time : 0.012 s
% 0.27/0.49 % System time : 0.011 s
% 0.27/0.49 % Total time : 0.023 s
% 0.27/0.49 % Maximum resident set size: 5852 pages
% 0.27/0.49
% 0.27/0.49 % -------------------------------------------------
% 0.27/0.49 % User time : 0.063 s
% 0.27/0.49 % System time : 0.038 s
% 0.27/0.49 % Total time : 0.101 s
% 0.27/0.49 % Maximum resident set size: 6400 pages
% 0.27/0.49 % E exiting
%------------------------------------------------------------------------------