%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP033^1 : 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 : n020.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 0.22s 0.37s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 6 ~; 2 |; 0 &; 41 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% 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_30,type,
binary1721989714Tree_a: ( a > int ) > binary1439146945Tree_a > $o ).
thf(decl_50,type,
h: a > int ).
thf(decl_51,type,
t1: binary1439146945Tree_a ).
thf(decl_52,type,
t2: binary1439146945Tree_a ).
thf(decl_53,type,
x: a ).
thf(conj_0,conjecture,
binary1721989714Tree_a @ h @ t1,
file('/export/starexec/sandbox2/tmp/tmp.9yBKkf3a0e/E---3.1_1492519.p',conj_0) ).
thf(fact_3_sortLemmaL,axiom,
! [X1: a > int,X2: binary1439146945Tree_a,X3: a,X4: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ X1 @ ( binary717961607le_T_a @ X2 @ X3 @ X4 ) )
=> ( binary1721989714Tree_a @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.9yBKkf3a0e/E---3.1_1492519.p',fact_3_sortLemmaL) ).
thf(fact_1_s,axiom,
binary1721989714Tree_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ),
file('/export/starexec/sandbox2/tmp/tmp.9yBKkf3a0e/E---3.1_1492519.p',fact_1_s) ).
thf(c_0_3,negated_conjecture,
~ ( binary1721989714Tree_a @ h @ t1 ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
~ ( binary1721989714Tree_a @ h @ t1 ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X1774: a > int,X1775: binary1439146945Tree_a,X1776: a,X1777: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ X1774 @ ( binary717961607le_T_a @ X1775 @ X1776 @ X1777 ) )
| ( binary1721989714Tree_a @ X1774 @ X1775 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_sortLemmaL])])]) ).
thf(c_0_6,negated_conjecture,
~ ( binary1721989714Tree_a @ h @ t1 ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: a > int,X2: binary1439146945Tree_a,X3: a,X4: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ X1 @ X2 )
| ~ ( binary1721989714Tree_a @ X1 @ ( binary717961607le_T_a @ X2 @ X3 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
binary1721989714Tree_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ),
inference(split_conjunct,[status(thm)],[fact_1_s]) ).
thf(c_0_9,negated_conjecture,
~ ( binary1721989714Tree_a @ h @ t1 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP033^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n020.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 19:40:50 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.22/0.26 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.9yBKkf3a0e/E---3.1_1492519.p
% 0.22/0.37 % Version: 3.5.1-ho
% 0.22/0.37 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.22/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.37 % Starting pre_casc_6 with 1200s (4) cores
% 0.22/0.37 % Starting sh4 with 600s (2) cores
% 0.22/0.37 % Starting pre_casc_4 with 300s (1) cores
% 0.22/0.37 % Starting full_lambda_7 with 300s (1) cores
% 0.22/0.37 % full_lambda_7 with pid 1492535 completed with status 0
% 0.22/0.37 % Result found by full_lambda_7
% 0.22/0.37 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.22/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.37 % Starting pre_casc_6 with 1200s (4) cores
% 0.22/0.37 % Starting sh4 with 600s (2) cores
% 0.22/0.37 % Starting pre_casc_4 with 300s (1) cores
% 0.22/0.37 % Starting full_lambda_7 with 300s (1) cores
% 0.22/0.37 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.22/0.37 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.22/0.37 % Search class: HGHSM-FSLM33-DHSFFSBN
% 0.22/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.37 % SubtermCWHack with pid 1492537 completed with status 0
% 0.22/0.37 % Result found by SubtermCWHack
% 0.22/0.37 % Preprocessing class: HSLSSMSSSSLNHSA.
% 0.22/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.37 % Starting pre_casc_6 with 1200s (4) cores
% 0.22/0.37 % Starting sh4 with 600s (2) cores
% 0.22/0.37 % Starting pre_casc_4 with 300s (1) cores
% 0.22/0.37 % Starting full_lambda_7 with 300s (1) cores
% 0.22/0.37 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.22/0.37 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.22/0.37 % Search class: HGHSM-FSLM33-DHSFFSBN
% 0.22/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.37 % Preprocessing time : 0.008 s
% 0.22/0.37
% 0.22/0.37 % Proof found!
% 0.22/0.37 % SZS status Theorem
% 0.22/0.37 % SZS output start CNFRefutation
% See solution above
% 0.22/0.37 % Parsed axioms : 390
% 0.22/0.37 % Removed by relevancy pruning/SinE : 101
% 0.22/0.37 % Initial clauses : 416
% 0.22/0.37 % Removed in clause preprocessing : 16
% 0.22/0.37 % Initial clauses in saturation : 400
% 0.22/0.37 % Processed clauses : 344
% 0.22/0.37 % ...of these trivial : 6
% 0.22/0.37 % ...subsumed : 174
% 0.22/0.37 % ...remaining for further processing : 164
% 0.22/0.37 % Other redundant clauses eliminated : 35
% 0.22/0.37 % Clauses deleted for lack of memory : 0
% 0.22/0.37 % Backward-subsumed : 2
% 0.22/0.37 % Backward-rewritten : 2
% 0.22/0.37 % Generated clauses : 377
% 0.22/0.37 % ...of the previous two non-redundant : 274
% 0.22/0.37 % ...aggressively subsumed : 0
% 0.22/0.37 % Contextual simplify-reflections : 4
% 0.22/0.37 % Paramodulations : 329
% 0.22/0.37 % Factorizations : 8
% 0.22/0.37 % NegExts : 0
% 0.22/0.37 % Equation resolutions : 35
% 0.22/0.37 % Disequality decompositions : 0
% 0.22/0.37 % Total rewrite steps : 156
% 0.22/0.37 % ...of those cached : 134
% 0.22/0.37 % Propositional unsat checks : 0
% 0.22/0.37 % Propositional check models : 0
% 0.22/0.37 % Propositional check unsatisfiable : 0
% 0.22/0.37 % Propositional clauses : 0
% 0.22/0.37 % Propositional clauses after purity: 0
% 0.22/0.37 % Propositional unsat core size : 0
% 0.22/0.37 % Propositional preprocessing time : 0.000
% 0.22/0.37 % Propositional encoding time : 0.000
% 0.22/0.37 % Propositional solver time : 0.000
% 0.22/0.37 % Success case prop preproc time : 0.000
% 0.22/0.37 % Success case prop encoding time : 0.000
% 0.22/0.37 % Success case prop solver time : 0.000
% 0.22/0.37 % Current number of processed clauses : 125
% 0.22/0.37 % Positive orientable unit clauses : 22
% 0.22/0.37 % Positive unorientable unit clauses: 0
% 0.22/0.37 % Negative unit clauses : 23
% 0.22/0.37 % Non-unit-clauses : 80
% 0.22/0.37 % Current number of unprocessed clauses: 327
% 0.22/0.37 % ...number of literals in the above : 1003
% 0.22/0.37 % Current number of archived formulas : 0
% 0.22/0.37 % Current number of archived clauses : 5
% 0.22/0.37 % Clause-clause subsumption calls (NU) : 778
% 0.22/0.37 % Rec. Clause-clause subsumption calls : 731
% 0.22/0.37 % Non-unit clause-clause subsumptions : 114
% 0.22/0.37 % Unit Clause-clause subsumption calls : 208
% 0.22/0.37 % Rewrite failures with RHS unbound : 0
% 0.22/0.37 % BW rewrite match attempts : 11
% 0.22/0.37 % BW rewrite match successes : 4
% 0.22/0.37 % Condensation attempts : 0
% 0.22/0.37 % Condensation successes : 0
% 0.22/0.37 % Termbank termtop insertions : 46562
% 0.22/0.37 % Search garbage collected termcells : 14235
% 0.22/0.37
% 0.22/0.37 % -------------------------------------------------
% 0.22/0.37 % User time : 0.052 s
% 0.22/0.37 % System time : 0.014 s
% 0.22/0.37 % Total time : 0.066 s
% 0.22/0.37 % Maximum resident set size: 6752 pages
% 0.22/0.37
% 0.22/0.37 % -------------------------------------------------
% 0.22/0.37 % User time : 0.067 s
% 0.22/0.37 % System time : 0.019 s
% 0.22/0.37 % Total time : 0.086 s
% 0.22/0.37 % Maximum resident set size: 5632 pages
% 0.22/0.37 % E exiting
%------------------------------------------------------------------------------