%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP065^1 : 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 : n012.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 08:04:15 AM UTC 2026
% Result : Theorem 0.08s 0.14s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 4 ~; 0 |; 0 &; 6 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 3 ^; 1 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
tree_b: $tType ).
thf(decl_23,type,
heapIm229596387mpty_b: tree_b > $o ).
thf(decl_26,type,
e_b: tree_b ).
thf(conj_0,conjecture,
heapIm229596387mpty_b @ e_b,
file('/export/starexec/sandbox/tmp/tmp.D7gvWgTg2y/E---3.1_593621.p',conj_0) ).
thf(fact_0_hs__is__empty__def,axiom,
( heapIm229596387mpty_b
= ( ^ [X1: tree_b] : ( X1 = e_b ) ) ),
file('/export/starexec/sandbox/tmp/tmp.D7gvWgTg2y/E---3.1_593621.p',fact_0_hs__is__empty__def) ).
thf(c_0_2,negated_conjecture,
~ ( heapIm229596387mpty_b @ e_b ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_3,plain,
( heapIm229596387mpty_b
= ( ^ [Z0: tree_b] : ( Z0 = e_b ) ) ),
inference(fof_simplification,[status(thm)],[fact_0_hs__is__empty__def]) ).
thf(c_0_4,negated_conjecture,
~ ( heapIm229596387mpty_b @ e_b ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_5,plain,
( heapIm229596387mpty_b
= ( ^ [Z0: tree_b] : ( Z0 = e_b ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
~ ( heapIm229596387mpty_b @ e_b ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X64: tree_b] :
( ( X64 = e_b )
<=> ( heapIm229596387mpty_b @ X64 ) ),
inference(arg_cong,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
~ ( heapIm229596387mpty_b @ e_b ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_7])]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP065^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 19:45:18 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.13 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.D7gvWgTg2y/E---3.1_593621.p
% 0.08/0.14 % Version: 3.5.1-ho
% 0.08/0.14 % Preprocessing class: HSMSSMSSSSSNSFA.
% 0.08/0.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.14 % Starting new_ho_14 with 1200s (4) cores
% 0.08/0.14 % Starting new_ho_13 with 600s (2) cores
% 0.08/0.14 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.08/0.14 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.14 % new_bool_3 with pid 593637 completed with status 0
% 0.08/0.14 % Result found by new_bool_3
% 0.08/0.14 % Preprocessing class: HSMSSMSSSSSNSFA.
% 0.08/0.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.14 % Starting new_ho_14 with 1200s (4) cores
% 0.08/0.14 % Starting new_ho_13 with 600s (2) cores
% 0.08/0.14 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.08/0.14 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.14 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.14 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.14 % Search class: HGUSF-FFSF31-SSFFFSBN
% 0.08/0.14 % partial match(1): HGUSF-FFSF11-SSFFFSBN
% 0.08/0.14 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.14 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.14 % SubtermCWHack with pid 593638 completed with status 0
% 0.08/0.14 % Result found by SubtermCWHack
% 0.08/0.14 % Preprocessing class: HSMSSMSSSSSNSFA.
% 0.08/0.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.14 % Starting new_ho_14 with 1200s (4) cores
% 0.08/0.14 % Starting new_ho_13 with 600s (2) cores
% 0.08/0.14 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.08/0.14 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.14 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.14 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.14 % Search class: HGUSF-FFSF31-SSFFFSBN
% 0.08/0.14 % partial match(1): HGUSF-FFSF11-SSFFFSBN
% 0.08/0.14 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.14 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.14 % Preprocessing time : 0.001 s
% 0.08/0.14
% 0.08/0.14 % Proof found!
% 0.08/0.14 % SZS status Theorem
% 0.08/0.14 % SZS output start CNFRefutation
% See solution above
% 0.08/0.14 % Parsed axioms : 26
% 0.08/0.14 % Removed by relevancy pruning/SinE : 20
% 0.08/0.14 % Initial clauses : 11
% 0.08/0.14 % Removed in clause preprocessing : 1
% 0.08/0.14 % Initial clauses in saturation : 10
% 0.08/0.14 % Processed clauses : 4
% 0.08/0.14 % ...of these trivial : 0
% 0.08/0.14 % ...subsumed : 0
% 0.08/0.14 % ...remaining for further processing : 4
% 0.08/0.14 % Other redundant clauses eliminated : 1
% 0.08/0.14 % Clauses deleted for lack of memory : 0
% 0.08/0.14 % Backward-subsumed : 0
% 0.08/0.14 % Backward-rewritten : 0
% 0.08/0.14 % Generated clauses : 4
% 0.08/0.14 % ...of the previous two non-redundant : 2
% 0.08/0.14 % ...aggressively subsumed : 0
% 0.08/0.14 % Contextual simplify-reflections : 0
% 0.08/0.14 % Paramodulations : 0
% 0.08/0.14 % Factorizations : 0
% 0.08/0.14 % NegExts : 0
% 0.08/0.14 % Equation resolutions : 1
% 0.08/0.14 % Disequality decompositions : 0
% 0.08/0.14 % Total rewrite steps : 0
% 0.08/0.14 % ...of those cached : 0
% 0.08/0.14 % Propositional unsat checks : 0
% 0.08/0.14 % Propositional check models : 0
% 0.08/0.14 % Propositional check unsatisfiable : 0
% 0.08/0.14 % Propositional clauses : 0
% 0.08/0.14 % Propositional clauses after purity: 0
% 0.08/0.14 % Propositional unsat core size : 0
% 0.08/0.14 % Propositional preprocessing time : 0.000
% 0.08/0.14 % Propositional encoding time : 0.000
% 0.08/0.14 % Propositional solver time : 0.000
% 0.08/0.14 % Success case prop preproc time : 0.000
% 0.08/0.14 % Success case prop encoding time : 0.000
% 0.08/0.14 % Success case prop solver time : 0.000
% 0.08/0.14 % Current number of processed clauses : 3
% 0.08/0.14 % Positive orientable unit clauses : 1
% 0.08/0.14 % Positive unorientable unit clauses: 0
% 0.08/0.14 % Negative unit clauses : 2
% 0.08/0.14 % Non-unit-clauses : 0
% 0.08/0.14 % Current number of unprocessed clauses: 7
% 0.08/0.14 % ...number of literals in the above : 17
% 0.08/0.14 % Current number of archived formulas : 0
% 0.08/0.14 % Current number of archived clauses : 1
% 0.08/0.14 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.14 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.14 % Non-unit clause-clause subsumptions : 0
% 0.08/0.14 % Unit Clause-clause subsumption calls : 0
% 0.08/0.14 % Rewrite failures with RHS unbound : 0
% 0.08/0.14 % BW rewrite match attempts : 0
% 0.08/0.14 % BW rewrite match successes : 0
% 0.08/0.14 % Condensation attempts : 0
% 0.08/0.14 % Condensation successes : 0
% 0.08/0.14 % Termbank termtop insertions : 900
% 0.08/0.14 % Search garbage collected termcells : 317
% 0.08/0.14
% 0.08/0.14 % -------------------------------------------------
% 0.08/0.14 % User time : 0.001 s
% 0.08/0.14 % System time : 0.002 s
% 0.08/0.14 % Total time : 0.003 s
% 0.08/0.14 % Maximum resident set size: 3664 pages
% 0.08/0.14
% 0.08/0.14 % -------------------------------------------------
% 0.08/0.14 % User time : 0.002 s
% 0.08/0.14 % System time : 0.004 s
% 0.08/0.14 % Total time : 0.006 s
% 0.08/0.14 % Maximum resident set size: 4864 pages
% 0.08/0.14 % E exiting
%------------------------------------------------------------------------------