%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV056^5 : 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 : n003.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 08:34:47 AM UTC 2026
% Result : Theorem 0.24s 0.35s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 0 avg)
% Number of connectives : 104 ( 8 ~; 7 |; 9 &; 76 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 14 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
esk1_1: ( a > a > $o ) > a ).
thf(decl_25,type,
esk2_1: ( a > a > $o ) > a ).
thf(decl_26,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_27,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_28,type,
esk5_1: ( a > a > $o ) > a ).
thf(cTHM275_pme,conjecture,
! [X1: a > a > $o] :
? [X2: a > a > $o] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X2 @ X3 @ X4 )
& ( X2 @ X4 @ X5 ) )
=> ( X2 @ X3 @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MVf78oOYrQ/E---3.1_2622863.p',cTHM275_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o] :
? [X2: a > a > $o] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X2 @ X3 @ X4 )
& ( X2 @ X4 @ X5 ) )
=> ( X2 @ X3 @ X5 ) ) ),
inference(assume_negation,[status(cth)],[cTHM275_pme]) ).
thf(c_0_2,negated_conjecture,
! [X14: a > a > $o] :
( ( ( X14 @ ( esk3_1 @ X14 ) @ ( esk4_1 @ X14 ) )
| ( epred1_0 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ( X14 @ ( esk4_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ( epred1_0 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ~ ( X14 @ ( esk3_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ( epred1_0 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ( X14 @ ( esk3_1 @ X14 ) @ ( esk4_1 @ X14 ) )
| ~ ( X14 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ( X14 @ ( esk4_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ~ ( X14 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ~ ( X14 @ ( esk3_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ~ ( X14 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) ) ),
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_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X1: a > a > $o] :
( ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ~ ( X1 @ ( esk1_1 @ X1 ) @ ( esk2_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV056^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n003.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Tue Sep 29 15:07:28 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running higher-order theorem proving
% 0.24/0.33 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.MVf78oOYrQ/E---3.1_2622863.p
% 0.24/0.35 % Version: 3.5.1-ho
% 0.24/0.35 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.35 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.35 % Starting post_as_ho12 with 300s (1) cores
% 0.24/0.35 % Starting new_bool_9 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho1 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho4 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho2 with 300s (1) cores
% 0.24/0.35 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.24/0.35 % Starting full_lambda_10 with 300s (1) cores
% 0.24/0.35 % Starting new_ho_8 with 300s (1) cores
% 0.24/0.35 % ehoh_best2_full_lfho with pid 2622881 completed with status 0
% 0.24/0.35 % Result found by ehoh_best2_full_lfho
% 0.24/0.35 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.35 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.35 % Starting post_as_ho12 with 300s (1) cores
% 0.24/0.35 % Starting new_bool_9 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho1 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho4 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho2 with 300s (1) cores
% 0.24/0.35 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.24/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.35 % No SInE strategy applied
% 0.24/0.35 % Search class: HGHNF-FFSF11-SSSFFMBN
% 0.24/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.35 % SubtermCWHack with pid 2622884 completed with status 0
% 0.24/0.35 % Result found by SubtermCWHack
% 0.24/0.35 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.35 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.35 % Starting post_as_ho12 with 300s (1) cores
% 0.24/0.35 % Starting new_bool_9 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho1 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho4 with 300s (1) cores
% 0.24/0.35 % Starting post_as_ho2 with 300s (1) cores
% 0.24/0.35 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.24/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.35 % No SInE strategy applied
% 0.24/0.35 % Search class: HGHNF-FFSF11-SSSFFMBN
% 0.24/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.35 % Preprocessing time : 0.001 s
% 0.24/0.35
% 0.24/0.35 % Proof found!
% 0.24/0.35 % SZS status Theorem
% 0.24/0.35 % SZS output start CNFRefutation
% See solution above
% 0.24/0.35 % Parsed axioms : 2
% 0.24/0.35 % Removed by relevancy pruning/SinE : 0
% 0.24/0.35 % Initial clauses : 7
% 0.24/0.35 % Removed in clause preprocessing : 1
% 0.24/0.35 % Initial clauses in saturation : 6
% 0.24/0.35 % Processed clauses : 6
% 0.24/0.35 % ...of these trivial : 0
% 0.24/0.35 % ...subsumed : 0
% 0.24/0.35 % ...remaining for further processing : 5
% 0.24/0.35 % Other redundant clauses eliminated : 0
% 0.24/0.35 % Clauses deleted for lack of memory : 0
% 0.24/0.35 % Backward-subsumed : 0
% 0.24/0.35 % Backward-rewritten : 0
% 0.24/0.35 % Generated clauses : 0
% 0.24/0.35 % ...of the previous two non-redundant : 0
% 0.24/0.35 % ...aggressively subsumed : 0
% 0.24/0.35 % Contextual simplify-reflections : 0
% 0.24/0.35 % Paramodulations : 0
% 0.24/0.35 % Factorizations : 0
% 0.24/0.35 % NegExts : 0
% 0.24/0.35 % Equation resolutions : 0
% 0.24/0.35 % Disequality decompositions : 0
% 0.24/0.35 % Total rewrite steps : 0
% 0.24/0.35 % ...of those cached : 0
% 0.24/0.35 % Propositional unsat checks : 0
% 0.24/0.35 % Propositional check models : 0
% 0.24/0.35 % Propositional check unsatisfiable : 0
% 0.24/0.35 % Propositional clauses : 0
% 0.24/0.35 % Propositional clauses after purity: 0
% 0.24/0.35 % Propositional unsat core size : 0
% 0.24/0.35 % Propositional preprocessing time : 0.000
% 0.24/0.35 % Propositional encoding time : 0.000
% 0.24/0.35 % Propositional solver time : 0.000
% 0.24/0.35 % Success case prop preproc time : 0.000
% 0.24/0.35 % Success case prop encoding time : 0.000
% 0.24/0.35 % Success case prop solver time : 0.000
% 0.24/0.35 % Current number of processed clauses : 5
% 0.24/0.35 % Positive orientable unit clauses : 0
% 0.24/0.35 % Positive unorientable unit clauses: 0
% 0.24/0.35 % Negative unit clauses : 0
% 0.24/0.35 % Non-unit-clauses : 5
% 0.24/0.35 % Current number of unprocessed clauses: 0
% 0.24/0.35 % ...number of literals in the above : 0
% 0.24/0.35 % Current number of archived formulas : 0
% 0.24/0.35 % Current number of archived clauses : 0
% 0.24/0.35 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.35 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.35 % Non-unit clause-clause subsumptions : 0
% 0.24/0.35 % Unit Clause-clause subsumption calls : 0
% 0.24/0.35 % Rewrite failures with RHS unbound : 0
% 0.24/0.35 % BW rewrite match attempts : 0
% 0.24/0.35 % BW rewrite match successes : 0
% 0.24/0.35 % Condensation attempts : 0
% 0.24/0.35 % Condensation successes : 0
% 0.24/0.35 % Termbank termtop insertions : 469
% 0.24/0.35 % Search garbage collected termcells : 126
% 0.24/0.35
% 0.24/0.35 % -------------------------------------------------
% 0.24/0.35 % User time : 0.002 s
% 0.24/0.35 % System time : 0.002 s
% 0.24/0.35 % Total time : 0.004 s
% 0.24/0.35 % Maximum resident set size: 3628 pages
% 0.24/0.35
% 0.24/0.35 % -------------------------------------------------
% 0.24/0.35 % User time : 0.003 s
% 0.24/0.35 % System time : 0.008 s
% 0.24/0.35 % Total time : 0.010 s
% 0.24/0.35 % Maximum resident set size: 4864 pages
% 0.24/0.35 % E exiting
%------------------------------------------------------------------------------