%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU457^1 : TPTP v9.3.1. Released v3.6.0.
% 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 08:26:04 AM UTC 2026
% Result : Theorem 0.25s 0.33s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 6 ~; 6 |; 2 &; 44 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 8 ^; 9 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_31,type,
symm: ( $i > $i > $o ) > $o ).
thf(decl_34,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_52,type,
epred1_0: $i > $i > $o ).
thf(decl_53,type,
esk1_0: $i ).
thf(decl_54,type,
esk2_0: $i ).
thf(symmetric_closure_is_symmetric,conjecture,
! [X1: $i > $i > $o] : ( symm @ ( sc @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.kH98EJ4ZtX/E---3.1_1302798.p',symmetric_closure_is_symmetric) ).
thf(symmetric,axiom,
( symm
= ( ^ [X1: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kH98EJ4ZtX/E---3.1_1302798.p',symmetric) ).
thf(symmetric_closure,axiom,
( sc
= ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
( ( X1 @ X4 @ X3 )
| ( X1 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kH98EJ4ZtX/E---3.1_1302798.p',symmetric_closure) ).
thf(c_0_3,negated_conjecture,
~ ! [X1: $i > $i > $o] : ( symm @ ( sc @ X1 ) ),
inference(assume_negation,[status(cth)],[symmetric_closure_is_symmetric]) ).
thf(c_0_4,plain,
( symm
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( Z0 @ X3 @ X4 )
=> ( Z0 @ X4 @ X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[symmetric]) ).
thf(c_0_5,plain,
( sc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
( ( Z0 @ Z2 @ Z1 )
| ( Z0 @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[symmetric_closure]) ).
thf(c_0_6,negated_conjecture,
~ ! [X1: $i > $i > $o,X158: $i,X159: $i] :
( ( ( X1 @ X159 @ X158 )
| ( X1 @ X158 @ X159 ) )
=> ( ( X1 @ X158 @ X159 )
| ( X1 @ X159 @ X158 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
( ( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ~ ( epred1_0 @ esk1_0 @ esk2_0 )
& ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
thf(c_0_8,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_9,negated_conjecture,
~ ( epred1_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
~ ( epred1_0 @ esk2_0 @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU457^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 13:44:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.27 Running higher-order theorem proving
% 0.25/0.30 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.kH98EJ4ZtX/E---3.1_1302798.p
% 0.25/0.33 % Version: 3.5.1-ho
% 0.25/0.33 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.25/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.33 % Starting new_ho_9 with 1500s (5) cores
% 0.25/0.33 % Starting post_as_ho1 with 300s (1) cores
% 0.25/0.33 % Starting sh1l with 300s (1) cores
% 0.25/0.33 % Starting post_as_ho10 with 300s (1) cores
% 0.25/0.33 % new_ho_9 with pid 1302811 completed with status 0
% 0.25/0.33 % Result found by new_ho_9
% 0.25/0.33 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.25/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.33 % Starting new_ho_9 with 1500s (5) cores
% 0.25/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.33 % No SInE strategy applied
% 0.25/0.33 % Search class: HGUNF-FFSF00-SHSSMFNN
% 0.25/0.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.33 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.33 % Starting new_ho_9 with 151s (1) cores
% 0.25/0.33 % Starting sh5l with 136s (1) cores
% 0.25/0.33 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.25/0.33 % Starting lpo1_def_fix with 136s (1) cores
% 0.25/0.33 % ehoh_best_sine_rwall with pid 1302818 completed with status 0
% 0.25/0.33 % Result found by ehoh_best_sine_rwall
% 0.25/0.33 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.25/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.33 % Starting new_ho_9 with 1500s (5) cores
% 0.25/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.33 % No SInE strategy applied
% 0.25/0.33 % Search class: HGUNF-FFSF00-SHSSMFNN
% 0.25/0.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.33 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.33 % Starting new_ho_9 with 151s (1) cores
% 0.25/0.33 % Starting sh5l with 136s (1) cores
% 0.25/0.33 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.25/0.33 % Preprocessing time : 0.001 s
% 0.25/0.33 % Presaturation interreduction done
% 0.25/0.33
% 0.25/0.33 % Proof found!
% 0.25/0.33 % SZS status Theorem
% 0.25/0.33 % SZS output start CNFRefutation
% See solution above
% 0.25/0.33 % Parsed axioms : 59
% 0.25/0.33 % Removed by relevancy pruning/SinE : 0
% 0.25/0.33 % Initial clauses : 32
% 0.25/0.33 % Removed in clause preprocessing : 29
% 0.25/0.33 % Initial clauses in saturation : 3
% 0.25/0.33 % Processed clauses : 3
% 0.25/0.33 % ...of these trivial : 0
% 0.25/0.33 % ...subsumed : 0
% 0.25/0.33 % ...remaining for further processing : 2
% 0.25/0.33 % Other redundant clauses eliminated : 0
% 0.25/0.33 % Clauses deleted for lack of memory : 0
% 0.25/0.33 % Backward-subsumed : 0
% 0.25/0.33 % Backward-rewritten : 0
% 0.25/0.33 % Generated clauses : 0
% 0.25/0.33 % ...of the previous two non-redundant : 0
% 0.25/0.33 % ...aggressively subsumed : 0
% 0.25/0.33 % Contextual simplify-reflections : 0
% 0.25/0.33 % Paramodulations : 0
% 0.25/0.33 % Factorizations : 0
% 0.25/0.33 % NegExts : 0
% 0.25/0.33 % Equation resolutions : 0
% 0.25/0.33 % Disequality decompositions : 0
% 0.25/0.33 % Total rewrite steps : 0
% 0.25/0.33 % ...of those cached : 0
% 0.25/0.33 % Propositional unsat checks : 0
% 0.25/0.33 % Propositional check models : 0
% 0.25/0.33 % Propositional check unsatisfiable : 0
% 0.25/0.33 % Propositional clauses : 0
% 0.25/0.33 % Propositional clauses after purity: 0
% 0.25/0.33 % Propositional unsat core size : 0
% 0.25/0.33 % Propositional preprocessing time : 0.000
% 0.25/0.33 % Propositional encoding time : 0.000
% 0.25/0.33 % Propositional solver time : 0.000
% 0.25/0.33 % Success case prop preproc time : 0.000
% 0.25/0.33 % Success case prop encoding time : 0.000
% 0.25/0.33 % Success case prop solver time : 0.000
% 0.25/0.33 % Current number of processed clauses : 2
% 0.25/0.33 % Positive orientable unit clauses : 0
% 0.25/0.33 % Positive unorientable unit clauses: 0
% 0.25/0.33 % Negative unit clauses : 2
% 0.25/0.33 % Non-unit-clauses : 0
% 0.25/0.33 % Current number of unprocessed clauses: 0
% 0.25/0.33 % ...number of literals in the above : 0
% 0.25/0.33 % Current number of archived formulas : 0
% 0.25/0.33 % Current number of archived clauses : 0
% 0.25/0.33 % Clause-clause subsumption calls (NU) : 0
% 0.25/0.33 % Rec. Clause-clause subsumption calls : 0
% 0.25/0.33 % Non-unit clause-clause subsumptions : 0
% 0.25/0.33 % Unit Clause-clause subsumption calls : 1
% 0.25/0.33 % Rewrite failures with RHS unbound : 0
% 0.25/0.33 % BW rewrite match attempts : 0
% 0.25/0.33 % BW rewrite match successes : 0
% 0.25/0.33 % Condensation attempts : 0
% 0.25/0.33 % Condensation successes : 0
% 0.25/0.33 % Termbank termtop insertions : 2830
% 0.25/0.33 % Search garbage collected termcells : 625
% 0.25/0.33
% 0.25/0.33 % -------------------------------------------------
% 0.25/0.33 % User time : 0.007 s
% 0.25/0.33 % System time : 0.004 s
% 0.25/0.33 % Total time : 0.011 s
% 0.25/0.33 % Maximum resident set size: 3888 pages
% 0.25/0.33
% 0.25/0.33 % -------------------------------------------------
% 0.25/0.33 % User time : 0.017 s
% 0.25/0.33 % System time : 0.014 s
% 0.25/0.33 % Total time : 0.031 s
% 0.25/0.33 % Maximum resident set size: 4864 pages
% 0.25/0.33 % E exiting
%------------------------------------------------------------------------------