%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO025^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:43:37 AM UTC 2026
% Result : Theorem 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 5 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 22 ~; 6 |; 1 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 10 ^; 0 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
esk1_0: $o ).
thf(decl_24,type,
esk2_0: $o ).
thf(conj,conjecture,
( $and
= ( ^ [X1: $o,X2: $o] :
~ ( ~ X1
| ~ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fVOpH1BsNY/E---3.1_3073052.p',conj) ).
thf(c_0_1,negated_conjecture,
( $and
!= ( ^ [X1: $o,X2: $o] :
~ ( ~ X1
| ~ X2 ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_2,negated_conjecture,
( $and
!= ( ^ [Z0: $o,Z1: $o] :
~ ( ~ Z0
| ~ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
( $and
!= ( ^ [Z0: $o,Z1: $o] :
~ ( ~ Z0
| ~ Z1 ) ) ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( $and
!= ( ^ [Z0: $o,Z1: $o] :
~ ( ~ Z0
| ~ Z1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ~ ( ~ esk1_0
| ~ esk2_0 )
<~> ( esk1_0
& esk2_0 ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
esk1_0,
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]) ).
thf(c_0_7,negated_conjecture,
esk2_0,
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]),c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO025^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n010.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 16:22:52 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.25 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.fVOpH1BsNY/E---3.1_3073052.p
% 0.10/0.27 % Version: 3.5.1-ho
% 0.10/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.10/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.10/0.27 % Starting post_as_ho10 with 300s (1) cores
% 0.10/0.27 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.27 % Starting sh5l with 300s (1) cores
% 0.10/0.27 % ehoh_best_nonlift_nonlambdatoforall with pid 3073077 completed with status 0
% 0.10/0.27 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.10/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.10/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.10/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.27 % No SInE strategy applied
% 0.10/0.27 % Search class: HUUPF-FFSF00-MSSFFFNN
% 0.10/0.27 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.10/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.10/0.27 % Starting sh5l with 136s (1) cores
% 0.10/0.27 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.27 % Starting new_bool_2 with 136s (1) cores
% 0.10/0.27 % SubtermCWHack with pid 3073083 completed with status 10
% 0.10/0.27 % Starting new_bool_9 with 136s (1) cores
% 0.10/0.27 % sh5l with pid 3073085 completed with status 0
% 0.10/0.27 % Result found by sh5l
% 0.10/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.10/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.10/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.27 % No SInE strategy applied
% 0.10/0.27 % Search class: HUUPF-FFSF00-MSSFFFNN
% 0.10/0.27 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.10/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.10/0.27 % Starting sh5l with 136s (1) cores
% 0.10/0.27 % Preprocessing time : 0.001 s
% 0.10/0.27 % Presaturation interreduction done
% 0.10/0.27
% 0.10/0.27 % Proof found!
% 0.10/0.27 % SZS status Theorem
% 0.10/0.27 % SZS output start CNFRefutation
% See solution above
% 0.10/0.27 % Parsed axioms : 1
% 0.10/0.27 % Removed by relevancy pruning/SinE : 0
% 0.10/0.27 % Initial clauses : 1
% 0.10/0.27 % Removed in clause preprocessing : 0
% 0.10/0.27 % Initial clauses in saturation : 1
% 0.10/0.27 % Processed clauses : 8
% 0.10/0.27 % ...of these trivial : 1
% 0.10/0.27 % ...subsumed : 0
% 0.10/0.27 % ...remaining for further processing : 6
% 0.10/0.27 % Other redundant clauses eliminated : 0
% 0.10/0.27 % Clauses deleted for lack of memory : 0
% 0.10/0.27 % Backward-subsumed : 0
% 0.10/0.27 % Backward-rewritten : 0
% 0.10/0.27 % Generated clauses : 8
% 0.10/0.27 % ...of the previous two non-redundant : 8
% 0.10/0.27 % ...aggressively subsumed : 0
% 0.10/0.27 % Contextual simplify-reflections : 0
% 0.10/0.27 % Paramodulations : 0
% 0.10/0.27 % Factorizations : 0
% 0.10/0.27 % NegExts : 3
% 0.10/0.27 % Equation resolutions : 0
% 0.10/0.27 % Disequality decompositions : 0
% 0.10/0.27 % Total rewrite steps : 6
% 0.10/0.27 % ...of those cached : 4
% 0.10/0.27 % Propositional unsat checks : 0
% 0.10/0.27 % Propositional check models : 0
% 0.10/0.27 % Propositional check unsatisfiable : 0
% 0.10/0.27 % Propositional clauses : 0
% 0.10/0.27 % Propositional clauses after purity: 0
% 0.10/0.27 % Propositional unsat core size : 0
% 0.10/0.27 % Propositional preprocessing time : 0.000
% 0.10/0.27 % Propositional encoding time : 0.000
% 0.10/0.27 % Propositional solver time : 0.000
% 0.10/0.27 % Success case prop preproc time : 0.000
% 0.10/0.27 % Success case prop encoding time : 0.000
% 0.10/0.27 % Success case prop solver time : 0.000
% 0.10/0.27 % Current number of processed clauses : 4
% 0.10/0.27 % Positive orientable unit clauses : 2
% 0.10/0.27 % Positive unorientable unit clauses: 0
% 0.10/0.27 % Negative unit clauses : 2
% 0.10/0.27 % Non-unit-clauses : 0
% 0.10/0.27 % Current number of unprocessed clauses: 2
% 0.10/0.27 % ...number of literals in the above : 3
% 0.10/0.27 % Current number of archived formulas : 0
% 0.10/0.27 % Current number of archived clauses : 2
% 0.10/0.27 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.27 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.27 % Non-unit clause-clause subsumptions : 0
% 0.10/0.27 % Unit Clause-clause subsumption calls : 1
% 0.10/0.27 % Rewrite failures with RHS unbound : 0
% 0.10/0.27 % BW rewrite match attempts : 0
% 0.10/0.27 % BW rewrite match successes : 0
% 0.10/0.27 % Condensation attempts : 8
% 0.10/0.27 % Condensation successes : 0
% 0.10/0.27 % Termbank termtop insertions : 332
% 0.10/0.27 % Search garbage collected termcells : 14
% 0.10/0.27
% 0.10/0.27 % -------------------------------------------------
% 0.10/0.27 % User time : 0.004 s
% 0.10/0.27 % System time : 0.003 s
% 0.10/0.27 % Total time : 0.007 s
% 0.10/0.27 % Maximum resident set size: 3624 pages
% 0.10/0.27
% 0.10/0.27 % -------------------------------------------------
% 0.10/0.27 % User time : 0.009 s
% 0.10/0.27 % System time : 0.010 s
% 0.10/0.27 % Total time : 0.019 s
% 0.10/0.27 % Maximum resident set size: 4864 pages
% 0.10/0.27 % E exiting
%------------------------------------------------------------------------------