%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP034^1 : 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 : n014.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 08:04:09 AM UTC 2026
% Result : Theorem 0.23s 0.33s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 75 ( 4 ~; 0 |; 0 &; 71 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
binary1439146945Tree_a: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
int: $tType ).
thf(decl_23,type,
binary717961607le_T_a: binary1439146945Tree_a > a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(decl_28,type,
binary339557810e_rm_a: ( a > int ) > binary1439146945Tree_a > a ).
thf(decl_41,type,
ord_less_int: int > int > $o ).
thf(decl_50,type,
h: a > int ).
thf(decl_51,type,
l: a ).
thf(decl_52,type,
t1: binary1439146945Tree_a ).
thf(decl_53,type,
t2: binary1439146945Tree_a ).
thf(decl_54,type,
x: a ).
thf(conj_0,conjecture,
ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8uBgLQ4oER/E---3.1_3118625.p',conj_0) ).
thf(fact_1_rm__res,axiom,
( ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) )
= ( binary339557810e_rm_a @ h @ t2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8uBgLQ4oER/E---3.1_3118625.p',fact_1_rm__res) ).
thf(fact_0_hLess,axiom,
ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ t2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8uBgLQ4oER/E---3.1_3118625.p',fact_0_hLess) ).
thf(c_0_3,negated_conjecture,
~ ( ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
~ ( ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
~ ( ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
~ ( ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
( ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) )
= ( binary339557810e_rm_a @ h @ t2 ) ),
inference(split_conjunct,[status(thm)],[fact_1_rm__res]) ).
thf(c_0_8,plain,
ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ t2 ) ),
inference(split_conjunct,[status(thm)],[fact_0_hLess]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP034^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n014.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:39:45 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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.8uBgLQ4oER/E---3.1_3118625.p
% 0.23/0.33 % Version: 3.5.1-ho
% 0.23/0.33 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.23/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting pre_casc_6 with 1200s (4) cores
% 0.23/0.33 % Starting sh4 with 600s (2) cores
% 0.23/0.33 % Starting pre_casc_4 with 300s (1) cores
% 0.23/0.33 % Starting full_lambda_7 with 300s (1) cores
% 0.23/0.33 % pre_casc_6 with pid 3118638 completed with status 0
% 0.23/0.33 % Result found by pre_casc_6
% 0.23/0.33 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.23/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting pre_casc_6 with 1200s (4) cores
% 0.23/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.23/0.33 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.23/0.33 % Search class: HGHSM-FSLM32-MHSFFSBN
% 0.23/0.33 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.23/0.33 % Starting SubtermCWHack with 109s (1) cores
% 0.23/0.33 % Starting pre_casc_6 with 121s (1) cores
% 0.23/0.33 % Starting full_lambda_9 with 109s (1) cores
% 0.23/0.33 % Starting ehoh_best with 109s (1) cores
% 0.23/0.33 % pre_casc_6 with pid 3118645 completed with status 0
% 0.23/0.33 % Result found by pre_casc_6
% 0.23/0.33 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.23/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting pre_casc_6 with 1200s (4) cores
% 0.23/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.23/0.33 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.23/0.33 % Search class: HGHSM-FSLM32-MHSFFSBN
% 0.23/0.33 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.23/0.33 % Starting SubtermCWHack with 109s (1) cores
% 0.23/0.33 % Starting pre_casc_6 with 121s (1) cores
% 0.23/0.33 % Preprocessing time : 0.008 s
% 0.23/0.33
% 0.23/0.33 % Proof found!
% 0.23/0.33 % SZS status Theorem
% 0.23/0.33 % SZS output start CNFRefutation
% See solution above
% 0.23/0.33 % Parsed axioms : 389
% 0.23/0.33 % Removed by relevancy pruning/SinE : 47
% 0.23/0.33 % Initial clauses : 698
% 0.23/0.33 % Removed in clause preprocessing : 6
% 0.23/0.33 % Initial clauses in saturation : 692
% 0.23/0.33 % Processed clauses : 4
% 0.23/0.33 % ...of these trivial : 0
% 0.23/0.33 % ...subsumed : 0
% 0.23/0.33 % ...remaining for further processing : 4
% 0.23/0.33 % Other redundant clauses eliminated : 0
% 0.23/0.33 % Clauses deleted for lack of memory : 0
% 0.23/0.33 % Backward-subsumed : 0
% 0.23/0.33 % Backward-rewritten : 0
% 0.23/0.33 % Generated clauses : 1
% 0.23/0.33 % ...of the previous two non-redundant : 0
% 0.23/0.33 % ...aggressively subsumed : 0
% 0.23/0.33 % Contextual simplify-reflections : 0
% 0.23/0.33 % Paramodulations : 1
% 0.23/0.33 % Factorizations : 0
% 0.23/0.33 % NegExts : 0
% 0.23/0.33 % Equation resolutions : 0
% 0.23/0.33 % Disequality decompositions : 0
% 0.23/0.33 % Total rewrite steps : 1
% 0.23/0.33 % ...of those cached : 0
% 0.23/0.33 % Propositional unsat checks : 0
% 0.23/0.33 % Propositional check models : 0
% 0.23/0.33 % Propositional check unsatisfiable : 0
% 0.23/0.33 % Propositional clauses : 0
% 0.23/0.33 % Propositional clauses after purity: 0
% 0.23/0.33 % Propositional unsat core size : 0
% 0.23/0.33 % Propositional preprocessing time : 0.000
% 0.23/0.33 % Propositional encoding time : 0.000
% 0.23/0.33 % Propositional solver time : 0.000
% 0.23/0.33 % Success case prop preproc time : 0.000
% 0.23/0.33 % Success case prop encoding time : 0.000
% 0.23/0.33 % Success case prop solver time : 0.000
% 0.23/0.33 % Current number of processed clauses : 4
% 0.23/0.33 % Positive orientable unit clauses : 2
% 0.23/0.33 % Positive unorientable unit clauses: 0
% 0.23/0.33 % Negative unit clauses : 2
% 0.23/0.33 % Non-unit-clauses : 0
% 0.23/0.33 % Current number of unprocessed clauses: 688
% 0.23/0.33 % ...number of literals in the above : 2261
% 0.23/0.33 % Current number of archived formulas : 0
% 0.23/0.33 % Current number of archived clauses : 0
% 0.23/0.33 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.33 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.33 % Non-unit clause-clause subsumptions : 0
% 0.23/0.33 % Unit Clause-clause subsumption calls : 0
% 0.23/0.33 % Rewrite failures with RHS unbound : 0
% 0.23/0.33 % BW rewrite match attempts : 1
% 0.23/0.33 % BW rewrite match successes : 0
% 0.23/0.33 % Condensation attempts : 4
% 0.23/0.33 % Condensation successes : 0
% 0.23/0.33 % Termbank termtop insertions : 46935
% 0.23/0.33 % Search garbage collected termcells : 11424
% 0.23/0.33
% 0.23/0.33 % -------------------------------------------------
% 0.23/0.33 % User time : 0.045 s
% 0.23/0.33 % System time : 0.010 s
% 0.23/0.33 % Total time : 0.056 s
% 0.23/0.33 % Maximum resident set size: 6948 pages
% 0.23/0.33
% 0.23/0.33 % -------------------------------------------------
% 0.23/0.33 % User time : 0.077 s
% 0.23/0.33 % System time : 0.030 s
% 0.23/0.33 % Total time : 0.107 s
% 0.23/0.33 % Maximum resident set size: 5632 pages
% 0.23/0.33 % E exiting
%------------------------------------------------------------------------------