%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP159^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:05:42 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 36 ( 4 ~; 0 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
refine424419629nres_a: $tType ).
thf(decl_sort2,type,
refine432681134nres_b: $tType ).
thf(decl_sort3,type,
set_Product_prod_a_b: $tType ).
thf(decl_35,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(decl_48,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(decl_49,type,
top_to240090974nres_b: refine432681134nres_b ).
thf(decl_73,type,
refine1441824854un_a_b: set_Product_prod_a_b > refine432681134nres_b > refine424419629nres_a ).
thf(decl_92,type,
r: set_Product_prod_a_b ).
thf(decl_93,type,
x: refine424419629nres_a ).
thf(conj_0,conjecture,
ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ),
file('/export/starexec/sandbox/tmp/tmp.icC2fox2ZN/E---3.1_1110792.p',conj_0) ).
thf(fact_29_conc__fun__FAIL,axiom,
! [X41: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ X41 @ top_to240090974nres_b )
= top_to231829469nres_a ),
file('/export/starexec/sandbox/tmp/tmp.icC2fox2ZN/E---3.1_1110792.p',fact_29_conc__fun__FAIL) ).
thf(fact_32_nres__order__simps_I3_J,axiom,
! [X43: refine424419629nres_a] : ( ord_le519537037nres_a @ X43 @ top_to231829469nres_a ),
file('/export/starexec/sandbox/tmp/tmp.icC2fox2ZN/E---3.1_1110792.p',fact_32_nres__order__simps_I3_J) ).
thf(c_0_3,negated_conjecture,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X1195: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ X1195 @ top_to240090974nres_b )
= top_to231829469nres_a ),
inference(variable_rename,[status(thm)],[fact_29_conc__fun__FAIL]) ).
thf(c_0_7,plain,
! [X1218: refine424419629nres_a] : ( ord_le519537037nres_a @ X1218 @ top_to231829469nres_a ),
inference(variable_rename,[status(thm)],[fact_32_nres__order__simps_I3_J]) ).
thf(c_0_8,negated_conjecture,
~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X18: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ X18 @ top_to240090974nres_b )
= top_to231829469nres_a ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X3: refine424419629nres_a] : ( ord_le519537037nres_a @ X3 @ top_to231829469nres_a ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP159^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 20:06:27 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.24 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.icC2fox2ZN/E---3.1_1110792.p
% 0.21/0.28 % Version: 3.5.1-ho
% 0.21/0.28 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting lpo5_fix with 1500s (5) cores
% 0.21/0.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.21/0.28 % Starting post_as_ho8 with 300s (1) cores
% 0.21/0.28 % Starting lpo5_rw_fix with 300s (1) cores
% 0.21/0.28 % post_as_ho8 with pid 1110807 completed with status 0
% 0.21/0.28 % Result found by post_as_ho8
% 0.21/0.28 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting lpo5_fix with 1500s (5) cores
% 0.21/0.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.21/0.28 % Starting post_as_ho8 with 300s (1) cores
% 0.21/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 0.21/0.28 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.21/0.28 % Search class: HGUSM-FFMF33-SHFFFSNN
% 0.21/0.28 % partial match(3): FGUSM-FFMF33-SFFFFFNN
% 0.21/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.28 % SubtermCWHack with pid 1110809 completed with status 0
% 0.21/0.28 % Result found by SubtermCWHack
% 0.21/0.28 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting lpo5_fix with 1500s (5) cores
% 0.21/0.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.21/0.28 % Starting post_as_ho8 with 300s (1) cores
% 0.21/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 0.21/0.28 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.21/0.28 % Search class: HGUSM-FFMF33-SHFFFSNN
% 0.21/0.28 % partial match(3): FGUSM-FFMF33-SFFFFFNN
% 0.21/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.28 % Preprocessing time : 0.004 s
% 0.21/0.28
% 0.21/0.28 % Proof found!
% 0.21/0.28 % SZS status Theorem
% 0.21/0.28 % SZS output start CNFRefutation
% See solution above
% 0.21/0.28 % Parsed axioms : 454
% 0.21/0.28 % Removed by relevancy pruning/SinE : 361
% 0.21/0.28 % Initial clauses : 140
% 0.21/0.28 % Removed in clause preprocessing : 11
% 0.21/0.28 % Initial clauses in saturation : 129
% 0.21/0.28 % Processed clauses : 14
% 0.21/0.28 % ...of these trivial : 5
% 0.21/0.28 % ...subsumed : 0
% 0.21/0.28 % ...remaining for further processing : 8
% 0.21/0.28 % Other redundant clauses eliminated : 0
% 0.21/0.28 % Clauses deleted for lack of memory : 0
% 0.21/0.28 % Backward-subsumed : 0
% 0.21/0.28 % Backward-rewritten : 0
% 0.21/0.28 % Generated clauses : 0
% 0.21/0.28 % ...of the previous two non-redundant : 0
% 0.21/0.28 % ...aggressively subsumed : 0
% 0.21/0.28 % Contextual simplify-reflections : 0
% 0.21/0.28 % Paramodulations : 0
% 0.21/0.28 % Factorizations : 0
% 0.21/0.28 % NegExts : 0
% 0.21/0.28 % Equation resolutions : 0
% 0.21/0.28 % Disequality decompositions : 0
% 0.21/0.28 % Total rewrite steps : 7
% 0.21/0.28 % ...of those cached : 0
% 0.21/0.28 % Propositional unsat checks : 0
% 0.21/0.28 % Propositional check models : 0
% 0.21/0.28 % Propositional check unsatisfiable : 0
% 0.21/0.28 % Propositional clauses : 0
% 0.21/0.28 % Propositional clauses after purity: 0
% 0.21/0.28 % Propositional unsat core size : 0
% 0.21/0.28 % Propositional preprocessing time : 0.000
% 0.21/0.28 % Propositional encoding time : 0.000
% 0.21/0.28 % Propositional solver time : 0.000
% 0.21/0.28 % Success case prop preproc time : 0.000
% 0.21/0.28 % Success case prop encoding time : 0.000
% 0.21/0.28 % Success case prop solver time : 0.000
% 0.21/0.28 % Current number of processed clauses : 8
% 0.21/0.28 % Positive orientable unit clauses : 8
% 0.21/0.28 % Positive unorientable unit clauses: 0
% 0.21/0.28 % Negative unit clauses : 0
% 0.21/0.28 % Non-unit-clauses : 0
% 0.21/0.28 % Current number of unprocessed clauses: 115
% 0.21/0.28 % ...number of literals in the above : 331
% 0.21/0.28 % Current number of archived formulas : 0
% 0.21/0.28 % Current number of archived clauses : 0
% 0.21/0.28 % Clause-clause subsumption calls (NU) : 0
% 0.21/0.28 % Rec. Clause-clause subsumption calls : 0
% 0.21/0.28 % Non-unit clause-clause subsumptions : 0
% 0.21/0.28 % Unit Clause-clause subsumption calls : 0
% 0.21/0.28 % Rewrite failures with RHS unbound : 0
% 0.21/0.28 % BW rewrite match attempts : 2
% 0.21/0.28 % BW rewrite match successes : 0
% 0.21/0.28 % Condensation attempts : 0
% 0.21/0.28 % Condensation successes : 0
% 0.21/0.28 % Termbank termtop insertions : 15644
% 0.21/0.28 % Search garbage collected termcells : 6375
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.012 s
% 0.21/0.28 % System time : 0.008 s
% 0.21/0.28 % Total time : 0.020 s
% 0.21/0.28 % Maximum resident set size: 5432 pages
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.026 s
% 0.21/0.28 % System time : 0.014 s
% 0.21/0.28 % Total time : 0.039 s
% 0.21/0.28 % Maximum resident set size: 5888 pages
% 0.21/0.28 % E exiting
%------------------------------------------------------------------------------