%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO256^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:42:39 AM UTC 2026
% Result : Theorem 0.10s 0.23s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 79 ( 16 ~; 18 |; 8 &; 35 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 19 ( 0 ^; 14 !; 5 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: $o > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
epred3_0: a > $o ).
thf(cTHM121,conjecture,
! [X1: $o > $o,X2: a > $o,X3: a > $o] :
? [X4: $o] :
( ( X1 @ X4 )
<=> ( X1
@ ! [X5: a] :
( ( X2 @ X5 )
| ( X3 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zv5zpSPehl/E---3.1_1030980.p',cTHM121) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $o > $o,X2: a > $o,X3: a > $o] :
? [X4: $o] :
( ( X1 @ X4 )
<=> ( X1
@ ! [X5: a] :
( ( X2 @ X5 )
| ( X3 @ X5 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM121]) ).
thf(c_0_2,negated_conjecture,
! [X13: $o] :
( ( ? [X5: a] :
( ~ ( epred2_0 @ X5 )
& ~ ( epred3_0 @ X5 ) )
| ! [X5: a] :
( ( epred2_0 @ X5 )
| ( epred3_0 @ X5 ) )
| ~ ( epred1_0 @ X13 ) )
& ( ~ ( epred1_0 @ $false )
| ! [X5: a] :
( ( epred2_0 @ X5 )
| ( epred3_0 @ X5 ) )
| ~ ( epred1_0 @ X13 ) )
& ( ? [X5: a] :
( ~ ( epred2_0 @ X5 )
& ~ ( epred3_0 @ X5 ) )
| ~ ( epred1_0 @ $true )
| ~ ( epred1_0 @ X13 ) )
& ( ~ ( epred1_0 @ $false )
| ~ ( epred1_0 @ $true )
| ~ ( epred1_0 @ X13 ) )
& ( ? [X5: a] :
( ~ ( epred2_0 @ X5 )
& ~ ( epred3_0 @ X5 ) )
| ( epred1_0 @ $true )
| ( epred1_0 @ X13 ) )
& ( ! [X5: a] :
( ( epred2_0 @ X5 )
| ( epred3_0 @ X5 ) )
| ( epred1_0 @ $false )
| ( epred1_0 @ X13 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[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,
! [X4: $o] :
( ( epred1_0 @ $true )
| ( epred1_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X4: $o] :
~ ( epred1_0 @ X4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_3,c_0_4]),c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO256^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n019.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 16:41:47 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.22 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.zv5zpSPehl/E---3.1_1030980.p
% 0.10/0.23 % Version: 3.5.1-ho
% 0.10/0.23 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.23 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.23 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.23 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.23 % Starting post_as_ho1 with 300s (1) cores
% 0.10/0.23 % Starting post_as_ho4 with 300s (1) cores
% 0.10/0.23 % Starting post_as_ho2 with 300s (1) cores
% 0.10/0.23 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.10/0.23 % Starting full_lambda_10 with 300s (1) cores
% 0.10/0.23 % Starting new_ho_8 with 300s (1) cores
% 0.10/0.23 % post_as_ho1 with pid 1030995 completed with status 0
% 0.10/0.23 % Result found by post_as_ho1
% 0.10/0.23 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.23 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.23 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.23 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.23 % Starting post_as_ho1 with 300s (1) cores
% 0.10/0.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.23 % No SInE strategy applied
% 0.10/0.23 % Search class: HGHNF-FFSF00-SSSFFFBN
% 0.10/0.23 % partial match(1): HGHNF-FFSF00-SSSFFFNN
% 0.10/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.23 % SubtermCWHack with pid 1031001 completed with status 0
% 0.10/0.23 % Result found by SubtermCWHack
% 0.10/0.23 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.23 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.23 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.23 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.23 % Starting post_as_ho1 with 300s (1) cores
% 0.10/0.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.23 % No SInE strategy applied
% 0.10/0.23 % Search class: HGHNF-FFSF00-SSSFFFBN
% 0.10/0.23 % partial match(1): HGHNF-FFSF00-SSSFFFNN
% 0.10/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.23 % Preprocessing time : 0.001 s
% 0.10/0.23
% 0.10/0.23 % Proof found!
% 0.10/0.23 % SZS status Theorem
% 0.10/0.23 % SZS output start CNFRefutation
% See solution above
% 0.10/0.23 % Parsed axioms : 2
% 0.10/0.23 % Removed by relevancy pruning/SinE : 0
% 0.10/0.23 % Initial clauses : 7
% 0.10/0.23 % Removed in clause preprocessing : 1
% 0.10/0.23 % Initial clauses in saturation : 6
% 0.10/0.23 % Processed clauses : 2
% 0.10/0.23 % ...of these trivial : 0
% 0.10/0.23 % ...subsumed : 0
% 0.10/0.23 % ...remaining for further processing : 1
% 0.10/0.23 % Other redundant clauses eliminated : 0
% 0.10/0.23 % Clauses deleted for lack of memory : 0
% 0.10/0.23 % Backward-subsumed : 0
% 0.10/0.23 % Backward-rewritten : 0
% 0.10/0.23 % Generated clauses : 0
% 0.10/0.23 % ...of the previous two non-redundant : 0
% 0.10/0.23 % ...aggressively subsumed : 0
% 0.10/0.23 % Contextual simplify-reflections : 0
% 0.10/0.23 % Paramodulations : 0
% 0.10/0.23 % Factorizations : 0
% 0.10/0.23 % NegExts : 0
% 0.10/0.23 % Equation resolutions : 0
% 0.10/0.23 % Disequality decompositions : 0
% 0.10/0.23 % Total rewrite steps : 0
% 0.10/0.23 % ...of those cached : 0
% 0.10/0.23 % Propositional unsat checks : 0
% 0.10/0.23 % Propositional check models : 0
% 0.10/0.23 % Propositional check unsatisfiable : 0
% 0.10/0.23 % Propositional clauses : 0
% 0.10/0.23 % Propositional clauses after purity: 0
% 0.10/0.23 % Propositional unsat core size : 0
% 0.10/0.23 % Propositional preprocessing time : 0.000
% 0.10/0.23 % Propositional encoding time : 0.000
% 0.10/0.23 % Propositional solver time : 0.000
% 0.10/0.23 % Success case prop preproc time : 0.000
% 0.10/0.23 % Success case prop encoding time : 0.000
% 0.10/0.23 % Success case prop solver time : 0.000
% 0.10/0.23 % Current number of processed clauses : 1
% 0.10/0.23 % Positive orientable unit clauses : 0
% 0.10/0.23 % Positive unorientable unit clauses: 0
% 0.10/0.23 % Negative unit clauses : 1
% 0.10/0.23 % Non-unit-clauses : 0
% 0.10/0.23 % Current number of unprocessed clauses: 4
% 0.10/0.23 % ...number of literals in the above : 9
% 0.10/0.23 % Current number of archived formulas : 0
% 0.10/0.23 % Current number of archived clauses : 0
% 0.10/0.23 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.23 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.23 % Non-unit clause-clause subsumptions : 0
% 0.10/0.23 % Unit Clause-clause subsumption calls : 0
% 0.10/0.23 % Rewrite failures with RHS unbound : 0
% 0.10/0.23 % BW rewrite match attempts : 0
% 0.10/0.23 % BW rewrite match successes : 0
% 0.10/0.23 % Condensation attempts : 0
% 0.10/0.23 % Condensation successes : 0
% 0.10/0.23 % Termbank termtop insertions : 416
% 0.10/0.23 % Search garbage collected termcells : 131
% 0.10/0.23
% 0.10/0.23 % -------------------------------------------------
% 0.10/0.23 % User time : 0.002 s
% 0.10/0.23 % System time : 0.001 s
% 0.10/0.23 % Total time : 0.003 s
% 0.10/0.23 % Maximum resident set size: 3588 pages
% 0.10/0.23
% 0.10/0.23 % -------------------------------------------------
% 0.10/0.23 % User time : 0.003 s
% 0.10/0.23 % System time : 0.007 s
% 0.10/0.23 % Total time : 0.010 s
% 0.10/0.23 % Maximum resident set size: 4864 pages
% 0.10/0.23 % E exiting
%------------------------------------------------------------------------------