%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO208^5 : 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 : n002.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 08:42:33 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 14 ~; 7 |; 1 &; 40 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 4 ^; 15 !; 4 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
esk1_1: ( a > $o ) > a ).
thf(cCT31,conjecture,
~ ? [X1: a > a > $o] :
! [X2: a > $o] :
? [X3: a] :
( ( ( X1 @ X3 )
= X2 )
<=> ( X2 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.9Nf7CzNAgt/E---3.1_1522437.p',cCT31) ).
thf(c_0_1,negated_conjecture,
~ ~ ? [X1: a > a > $o] :
! [X2: a > $o] :
? [X3: a] :
( ( ( X1 @ X3 )
= X2 )
<=> ( X2 = X2 ) ),
inference(assume_negation,[status(cth)],[cCT31]) ).
thf(c_0_2,negated_conjecture,
! [X8: a > $o] :
( ( ( ( epred1_0 @ ( esk1_1 @ X8 ) )
!= X8 )
| ( X8 = X8 ) )
& ( ( X8 != X8 )
| ( ( epred1_0 @ ( esk1_1 @ X8 ) )
= X8 ) ) ),
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,
! [X2: a > $o] :
( ( ( epred1_0 @ ( esk1_1 @ X2 ) )
= X2 )
| ( X2 != X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X2: a > $o] :
( ( epred1_0 @ ( esk1_1 @ X2 ) )
= X2 ),
inference(cn,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X2: a > $o,X10: a] :
( ( epred1_0 @ ( esk1_1 @ X2 ) @ X10 )
<=> ( X2 @ X10 ) ),
inference(arg_cong,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( epred1_0 @ ( esk1_1 @ X2 ) @ X3 )
| ~ ( X2 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( X2 @ X3 )
| ~ ( epred1_0 @ ( esk1_1 @ X2 ) @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X2: a > $o,X3: a] :
( ( epred1_0
@ ( esk1_1
@ ^ [Z0: a] :
~ ( X2 @ Z0 ) )
@ X3 )
| ( X2 @ X3 ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X2: a > $o,X3: a] :
( ~ ( epred1_0
@ ( esk1_1
@ ^ [Z0: a] :
~ ( X2 @ Z0 ) )
@ X3 )
| ~ ( X2 @ X3 ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_7]) ).
thf(c_0_10,negated_conjecture,
( epred1_0
@ ( esk1_1
@ ^ [Z0: a] :
~ ( epred1_0 @ Z0 @ Z0 ) )
@ ( esk1_1
@ ^ [Z0: a] :
~ ( epred1_0 @ Z0 @ Z0 ) ) ),
inference(ef,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO208^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n002.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 16:42:07 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
% 0.08/0.22 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.9Nf7CzNAgt/E---3.1_1522437.p
% 0.08/0.25 % Version: 3.5.1-ho
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.08/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.08/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.08/0.25 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_10 with 300s (1) cores
% 0.08/0.25 % Starting new_ho_8 with 300s (1) cores
% 0.08/0.25 % full_lambda_10 with pid 1522468 completed with status 0
% 0.08/0.25 % Result found by full_lambda_10
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.08/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.08/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.08/0.25 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_10 with 300s (1) cores
% 0.08/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
% 0.08/0.25 % SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
% 0.08/0.25 % Search class: HUUPF-FFSF11-SSSFFFBN
% 0.08/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.25 % SubtermCWHack with pid 1522471 completed with status 10
% 0.08/0.25 % Starting full_lambda_10 with 31s (1) cores
% 0.08/0.25 % full_lambda_10 with pid 1522481 completed with status 10
% 0.08/0.25 % Starting post_as_ho4 with 28s (1) cores
% 0.08/0.25 % post_as_ho4 with pid 1522485 completed with status 0
% 0.08/0.25 % Result found by post_as_ho4
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.08/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.08/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.08/0.25 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_10 with 300s (1) cores
% 0.08/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
% 0.08/0.25 % SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
% 0.08/0.25 % Search class: HUUPF-FFSF11-SSSFFFBN
% 0.08/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.25 % SubtermCWHack with pid 1522471 completed with status 10
% 0.08/0.25 % Starting full_lambda_10 with 31s (1) cores
% 0.08/0.25 % full_lambda_10 with pid 1522481 completed with status 10
% 0.08/0.25 % Starting post_as_ho4 with 28s (1) cores
% 0.08/0.25 % Preprocessing time : 0.001 s
% 0.08/0.25 % Presaturation interreduction done
% 0.08/0.25
% 0.08/0.25 % Proof found!
% 0.08/0.25 % SZS status Theorem
% 0.08/0.25 % SZS output start CNFRefutation
% See solution above
% 0.08/0.25 % Parsed axioms : 2
% 0.08/0.25 % Removed by relevancy pruning/SinE : 1
% 0.08/0.25 % Initial clauses : 2
% 0.08/0.25 % Removed in clause preprocessing : 1
% 0.08/0.25 % Initial clauses in saturation : 1
% 0.08/0.25 % Processed clauses : 15
% 0.08/0.25 % ...of these trivial : 1
% 0.08/0.25 % ...subsumed : 1
% 0.08/0.25 % ...remaining for further processing : 13
% 0.08/0.25 % Other redundant clauses eliminated : 0
% 0.08/0.25 % Clauses deleted for lack of memory : 0
% 0.08/0.25 % Backward-subsumed : 0
% 0.08/0.25 % Backward-rewritten : 0
% 0.08/0.25 % Generated clauses : 39
% 0.08/0.25 % ...of the previous two non-redundant : 31
% 0.08/0.25 % ...aggressively subsumed : 0
% 0.08/0.25 % Contextual simplify-reflections : 0
% 0.08/0.25 % Paramodulations : 20
% 0.08/0.25 % Factorizations : 8
% 0.08/0.25 % NegExts : 0
% 0.08/0.25 % Equation resolutions : 2
% 0.08/0.25 % Disequality decompositions : 0
% 0.08/0.25 % Total rewrite steps : 5
% 0.08/0.25 % ...of those cached : 2
% 0.08/0.25 % Propositional unsat checks : 0
% 0.08/0.25 % Propositional check models : 0
% 0.08/0.25 % Propositional check unsatisfiable : 0
% 0.08/0.25 % Propositional clauses : 0
% 0.08/0.25 % Propositional clauses after purity: 0
% 0.08/0.25 % Propositional unsat core size : 0
% 0.08/0.25 % Propositional preprocessing time : 0.000
% 0.08/0.25 % Propositional encoding time : 0.000
% 0.08/0.25 % Propositional solver time : 0.000
% 0.08/0.25 % Success case prop preproc time : 0.000
% 0.08/0.25 % Success case prop encoding time : 0.000
% 0.08/0.25 % Success case prop solver time : 0.000
% 0.08/0.25 % Current number of processed clauses : 11
% 0.08/0.25 % Positive orientable unit clauses : 5
% 0.08/0.25 % Positive unorientable unit clauses: 0
% 0.08/0.25 % Negative unit clauses : 2
% 0.08/0.25 % Non-unit-clauses : 4
% 0.08/0.25 % Current number of unprocessed clauses: 17
% 0.08/0.25 % ...number of literals in the above : 26
% 0.08/0.25 % Current number of archived formulas : 0
% 0.08/0.25 % Current number of archived clauses : 2
% 0.08/0.25 % Clause-clause subsumption calls (NU) : 7
% 0.08/0.25 % Rec. Clause-clause subsumption calls : 7
% 0.08/0.25 % Non-unit clause-clause subsumptions : 0
% 0.08/0.25 % Unit Clause-clause subsumption calls : 6
% 0.08/0.25 % Rewrite failures with RHS unbound : 0
% 0.08/0.25 % BW rewrite match attempts : 5
% 0.08/0.25 % BW rewrite match successes : 0
% 0.08/0.25 % Condensation attempts : 15
% 0.08/0.25 % Condensation successes : 0
% 0.08/0.25 % Termbank termtop insertions : 2100
% 0.08/0.25 % Search garbage collected termcells : 43
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.005 s
% 0.08/0.25 % System time : 0.001 s
% 0.08/0.25 % Total time : 0.006 s
% 0.08/0.25 % Maximum resident set size: 3884 pages
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.006 s
% 0.08/0.25 % System time : 0.003 s
% 0.08/0.25 % Total time : 0.009 s
% 0.08/0.25 % Maximum resident set size: 4864 pages
% 0.08/0.25 % E exiting
%------------------------------------------------------------------------------