%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO206^5 : 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 : n017.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 08:44:00 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 73 ( 18 ~; 24 |; 7 &; 18 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 0 ^; 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
epred1_1: $o > $o ).
thf(cCT265,conjecture,
? [X1: $o] :
! [X2: $o] :
( ( X1
<=> X2 )
<=> ( X2
<=> X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.2x0V4LKQHF/E---3.1_565508.p',cCT265) ).
thf(c_0_1,negated_conjecture,
~ ? [X1: $o] :
! [X2: $o] :
( ( X1
<=> X2 )
<=> ( X2
<=> X1 ) ),
inference(assume_negation,[status(cth)],[cCT265]) ).
thf(c_0_2,negated_conjecture,
! [X5: $o] :
( ( ~ ( epred1_1 @ X5 )
| ~ X5
| ~ X5
| ~ ( epred1_1 @ X5 ) )
& ( ( epred1_1 @ X5 )
| X5
| ~ X5
| ~ ( epred1_1 @ X5 ) )
& ( ~ ( epred1_1 @ X5 )
| ~ X5
| X5
| ( epred1_1 @ X5 ) )
& ( ( epred1_1 @ X5 )
| X5
| X5
| ( epred1_1 @ X5 ) )
& ( ~ ( epred1_1 @ X5 )
| X5
| ~ X5
| ( epred1_1 @ X5 ) )
& ( ~ X5
| ( epred1_1 @ X5 )
| ~ X5
| ( epred1_1 @ X5 ) )
& ( ~ ( epred1_1 @ X5 )
| X5
| ~ ( epred1_1 @ X5 )
| X5 )
& ( ~ X5
| ( epred1_1 @ X5 )
| ~ ( epred1_1 @ X5 )
| X5 ) ),
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,
~ ( epred1_1 @ $true ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2])])]) ).
thf(c_0_4,negated_conjecture,
epred1_1 @ $true,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2])])]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO206^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n017.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 16:34:37 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.24 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.2x0V4LKQHF/E---3.1_565508.p
% 0.10/0.25 % Version: 3.5.1-ho
% 0.10/0.25 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.10/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.25 % Starting ho_unfolding_6 with 300s (1) cores
% 0.10/0.25 % Starting sh4l with 300s (1) cores
% 0.10/0.25 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.10/0.25 % new_ho_10 with pid 565545 completed with status 0
% 0.10/0.25 % Result found by new_ho_10
% 0.10/0.25 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.10/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.25 % No SInE strategy applied
% 0.10/0.25 % Search class: HUUNF-FFSF00-SFFFFFNN
% 0.10/0.25 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.25 % Starting SubtermCWHack with 151s (1) cores
% 0.10/0.25 % Starting new_ho_10 with 901s (1) cores
% 0.10/0.25 % Starting sh5l with 151s (1) cores
% 0.10/0.25 % Starting new_bool_1 with 151s (1) cores
% 0.10/0.25 % Starting new_bool_2 with 146s (1) cores
% 0.10/0.25 % new_bool_2 with pid 565554 completed with status 0
% 0.10/0.25 % Result found by new_bool_2
% 0.10/0.25 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.10/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.25 % No SInE strategy applied
% 0.10/0.25 % Search class: HUUNF-FFSF00-SFFFFFNN
% 0.10/0.25 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.25 % Starting SubtermCWHack with 151s (1) cores
% 0.10/0.25 % Starting new_ho_10 with 901s (1) cores
% 0.10/0.25 % Starting sh5l with 151s (1) cores
% 0.10/0.25 % Starting new_bool_1 with 151s (1) cores
% 0.10/0.25 % Starting new_bool_2 with 146s (1) cores
% 0.10/0.25 % Preprocessing time : 0.001 s
% 0.10/0.25 % Presaturation interreduction done
% 0.10/0.25
% 0.10/0.25 % Proof found!
% 0.10/0.25 % SZS status Theorem
% 0.10/0.25 % SZS output start CNFRefutation
% See solution above
% 0.10/0.25 % Parsed axioms : 1
% 0.10/0.25 % Removed by relevancy pruning/SinE : 0
% 0.10/0.25 % Initial clauses : 8
% 0.10/0.25 % Removed in clause preprocessing : 4
% 0.10/0.25 % Initial clauses in saturation : 4
% 0.10/0.25 % Processed clauses : 2
% 0.10/0.25 % ...of these trivial : 0
% 0.10/0.25 % ...subsumed : 0
% 0.10/0.25 % ...remaining for further processing : 1
% 0.10/0.25 % Other redundant clauses eliminated : 0
% 0.10/0.25 % Clauses deleted for lack of memory : 0
% 0.10/0.25 % Backward-subsumed : 0
% 0.10/0.25 % Backward-rewritten : 0
% 0.10/0.25 % Generated clauses : 0
% 0.10/0.25 % ...of the previous two non-redundant : 0
% 0.10/0.25 % ...aggressively subsumed : 0
% 0.10/0.25 % Contextual simplify-reflections : 0
% 0.10/0.25 % Paramodulations : 0
% 0.10/0.25 % Factorizations : 0
% 0.10/0.25 % NegExts : 0
% 0.10/0.25 % Equation resolutions : 0
% 0.10/0.25 % Disequality decompositions : 0
% 0.10/0.25 % Total rewrite steps : 1
% 0.10/0.25 % ...of those cached : 0
% 0.10/0.25 % Propositional unsat checks : 0
% 0.10/0.25 % Propositional check models : 0
% 0.10/0.25 % Propositional check unsatisfiable : 0
% 0.10/0.25 % Propositional clauses : 0
% 0.10/0.25 % Propositional clauses after purity: 0
% 0.10/0.25 % Propositional unsat core size : 0
% 0.10/0.25 % Propositional preprocessing time : 0.000
% 0.10/0.25 % Propositional encoding time : 0.000
% 0.10/0.25 % Propositional solver time : 0.000
% 0.10/0.25 % Success case prop preproc time : 0.000
% 0.10/0.25 % Success case prop encoding time : 0.000
% 0.10/0.25 % Success case prop solver time : 0.000
% 0.10/0.25 % Current number of processed clauses : 1
% 0.10/0.25 % Positive orientable unit clauses : 1
% 0.10/0.25 % Positive unorientable unit clauses: 0
% 0.10/0.25 % Negative unit clauses : 0
% 0.10/0.25 % Non-unit-clauses : 0
% 0.10/0.25 % Current number of unprocessed clauses: 2
% 0.10/0.25 % ...number of literals in the above : 2
% 0.10/0.25 % Current number of archived formulas : 0
% 0.10/0.25 % Current number of archived clauses : 0
% 0.10/0.25 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.25 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.25 % Non-unit clause-clause subsumptions : 0
% 0.10/0.25 % Unit Clause-clause subsumption calls : 0
% 0.10/0.25 % Rewrite failures with RHS unbound : 0
% 0.10/0.25 % BW rewrite match attempts : 0
% 0.10/0.25 % BW rewrite match successes : 0
% 0.10/0.25 % Condensation attempts : 0
% 0.10/0.25 % Condensation successes : 0
% 0.10/0.25 % Termbank termtop insertions : 465
% 0.10/0.25 % Search garbage collected termcells : 141
% 0.10/0.25
% 0.10/0.25 % -------------------------------------------------
% 0.10/0.25 % User time : 0.002 s
% 0.10/0.25 % System time : 0.001 s
% 0.10/0.25 % Total time : 0.003 s
% 0.10/0.25 % Maximum resident set size: 3624 pages
% 0.10/0.25
% 0.10/0.25 % -------------------------------------------------
% 0.10/0.25 % User time : 0.006 s
% 0.10/0.25 % System time : 0.009 s
% 0.10/0.25 % Total time : 0.016 s
% 0.10/0.25 % Maximum resident set size: 4864 pages
% 0.10/0.25 % E exiting
%------------------------------------------------------------------------------