%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU833^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:25:48 AM UTC 2026
% Result : Theorem 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 30 ( 14 ~; 5 |; 5 &; 5 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 4 ^; 4 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(cGAZING_THM24_pme,conjecture,
! [X1: a > $o] :
( ( ^ [X2: a] :
( ( X1 @ X2 )
& ~ $true ) )
= ( ^ [X2: a] : ~ $true ) ),
file('/export/starexec/sandbox2/tmp/tmp.HSkcU8Oa9D/E---3.1_172822.p',cGAZING_THM24_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o] :
( ( ^ [X2: a] :
( ( X1 @ X2 )
& ~ $true ) )
= ( ^ [X2: a] : ~ $true ) ),
inference(assume_negation,[status(cth)],[cGAZING_THM24_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X4: a] :
( ( ( X1 @ X4 )
& ~ $true )
<=> ~ $true ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
( ( ~ ( epred1_0 @ esk1_0 )
| $true
| $true )
& ( ( epred1_0 @ esk1_0 )
| ~ $true )
& ( ~ $true
| ~ $true ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
thf(c_0_4,negated_conjecture,
( ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU833^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 % Computer : n011.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8046.5625MB
% 0.08/0.24 % OS : Linux 6.8.0-71-generic
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Tue Sep 29 14:39:40 UTC 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.29 Running higher-order theorem proving
% 0.16/0.30 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.HSkcU8Oa9D/E---3.1_172822.p
% 0.16/0.32 % Version: 3.5.1-ho
% 0.16/0.32 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.16/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.32 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.16/0.32 % Starting post_as_ho10 with 300s (1) cores
% 0.16/0.32 % Starting new_bool_9 with 300s (1) cores
% 0.16/0.32 % Starting sh5l with 300s (1) cores
% 0.16/0.32 % post_as_ho10 with pid 172851 completed with status 0
% 0.16/0.32 % Result found by post_as_ho10
% 0.16/0.32 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.16/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.32 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.16/0.32 % Starting post_as_ho10 with 300s (1) cores
% 0.16/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.32 % No SInE strategy applied
% 0.16/0.32 % Search class: HUHNF-FFSF00-SSSFFFNN
% 0.16/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.32 % SubtermCWHack with pid 172859 completed with status 0
% 0.16/0.32 % Result found by SubtermCWHack
% 0.16/0.32 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.16/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.32 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.16/0.32 % Starting post_as_ho10 with 300s (1) cores
% 0.16/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.32 % No SInE strategy applied
% 0.16/0.32 % Search class: HUHNF-FFSF00-SSSFFFNN
% 0.16/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.32 % Preprocessing time : 0.001 s
% 0.16/0.32
% 0.16/0.32 % Proof found!
% 0.16/0.32 % SZS status Theorem
% 0.16/0.32 % SZS output start CNFRefutation
% See solution above
% 0.16/0.32 % Parsed axioms : 2
% 0.16/0.32 % Removed by relevancy pruning/SinE : 0
% 0.16/0.32 % Initial clauses : 4
% 0.16/0.32 % Removed in clause preprocessing : 2
% 0.16/0.32 % Initial clauses in saturation : 2
% 0.16/0.32 % Processed clauses : 1
% 0.16/0.32 % ...of these trivial : 0
% 0.16/0.32 % ...subsumed : 0
% 0.16/0.32 % ...remaining for further processing : 0
% 0.16/0.32 % Other redundant clauses eliminated : 0
% 0.16/0.32 % Clauses deleted for lack of memory : 0
% 0.16/0.32 % Backward-subsumed : 0
% 0.16/0.32 % Backward-rewritten : 0
% 0.16/0.32 % Generated clauses : 0
% 0.16/0.32 % ...of the previous two non-redundant : 0
% 0.16/0.32 % ...aggressively subsumed : 0
% 0.16/0.32 % Contextual simplify-reflections : 0
% 0.16/0.32 % Paramodulations : 0
% 0.16/0.32 % Factorizations : 0
% 0.16/0.32 % NegExts : 0
% 0.16/0.32 % Equation resolutions : 0
% 0.16/0.32 % Disequality decompositions : 0
% 0.16/0.32 % Total rewrite steps : 0
% 0.16/0.32 % ...of those cached : 0
% 0.16/0.32 % Propositional unsat checks : 0
% 0.16/0.32 % Propositional check models : 0
% 0.16/0.32 % Propositional check unsatisfiable : 0
% 0.16/0.32 % Propositional clauses : 0
% 0.16/0.32 % Propositional clauses after purity: 0
% 0.16/0.32 % Propositional unsat core size : 0
% 0.16/0.32 % Propositional preprocessing time : 0.000
% 0.16/0.32 % Propositional encoding time : 0.000
% 0.16/0.32 % Propositional solver time : 0.000
% 0.16/0.32 % Success case prop preproc time : 0.000
% 0.16/0.32 % Success case prop encoding time : 0.000
% 0.16/0.32 % Success case prop solver time : 0.000
% 0.16/0.32 % Current number of processed clauses : 0
% 0.16/0.32 % Positive orientable unit clauses : 0
% 0.16/0.32 % Positive unorientable unit clauses: 0
% 0.16/0.32 % Negative unit clauses : 0
% 0.16/0.32 % Non-unit-clauses : 0
% 0.16/0.32 % Current number of unprocessed clauses: 1
% 0.16/0.32 % ...number of literals in the above : 1
% 0.16/0.32 % Current number of archived formulas : 0
% 0.16/0.32 % Current number of archived clauses : 0
% 0.16/0.32 % Clause-clause subsumption calls (NU) : 0
% 0.16/0.32 % Rec. Clause-clause subsumption calls : 0
% 0.16/0.32 % Non-unit clause-clause subsumptions : 0
% 0.16/0.32 % Unit Clause-clause subsumption calls : 0
% 0.16/0.32 % Rewrite failures with RHS unbound : 0
% 0.16/0.32 % BW rewrite match attempts : 0
% 0.16/0.32 % BW rewrite match successes : 0
% 0.16/0.32 % Condensation attempts : 0
% 0.16/0.32 % Condensation successes : 0
% 0.16/0.32 % Termbank termtop insertions : 232
% 0.16/0.32 % Search garbage collected termcells : 82
% 0.16/0.32
% 0.16/0.32 % -------------------------------------------------
% 0.16/0.32 % User time : 0.002 s
% 0.16/0.32 % System time : 0.002 s
% 0.16/0.32 % Total time : 0.004 s
% 0.16/0.32 % Maximum resident set size: 3576 pages
% 0.16/0.32
% 0.16/0.32 % -------------------------------------------------
% 0.16/0.32 % User time : 0.003 s
% 0.16/0.32 % System time : 0.007 s
% 0.16/0.32 % Total time : 0.010 s
% 0.16/0.32 % Maximum resident set size: 4608 pages
% 0.16/0.32 % E exiting
%------------------------------------------------------------------------------