%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV239^5 : 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 : n009.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 08:36:21 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 6 ~; 1 |; 12 &; 25 @)
% ( 1 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 9 ^; 2 !; 12 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
y: a > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
epred2_0: a > $o ).
thf(decl_26,type,
esk2_0: a ).
thf(cX5211_pme,conjecture,
( y
= ( ^ [X1: a] :
? [X2: a > $o] :
( ? [X3: a] :
( ( y @ X3 )
& ( X2
= ( ^ [X1: a,X4: a] : ( X1 = X4 )
@ X3 ) ) )
& ( X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ycX4DwVRI/E---3.1_4135489.p',cX5211_pme) ).
thf(c_0_1,negated_conjecture,
( y
!= ( ^ [X1: a] :
? [X2: a > $o] :
( ? [X3: a] :
( ( y @ X3 )
& ( X2
= ( ^ [X1: a,X4: a] : ( X1 = X4 )
@ X3 ) ) )
& ( X2 @ X1 ) ) ) ),
inference(assume_negation,[status(cth)],[cX5211_pme]) ).
thf(c_0_2,negated_conjecture,
( y
!= ( ^ [Z0: a] :
? [X2: a > $o] :
( ? [X3: a] :
( ( y @ X3 )
& ( X2
= ( $eq @ X3 ) ) )
& ( X2 @ Z0 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])]) ).
thf(c_0_3,negated_conjecture,
( y
!= ( ^ [Z0: a] :
? [X2: a > $o] :
( ? [X3: a] :
( ( y @ X3 )
& ( X2
= ( $eq @ X3 ) ) )
& ( X2 @ Z0 ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( y
!= ( ^ [Z0: a] :
? [X13: a > $o] :
( ? [X14: a] :
( ( y @ X14 )
& ( X13
= ( $eq @ X14 ) ) )
& ( X13 @ Z0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ? [X15: a > $o] :
( ? [X16: a] :
( ( y @ X16 )
& ( X15
= ( $eq @ X16 ) ) )
& ( X15 @ esk1_0 ) )
<~> ( y @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
~ ( y @ esk1_0 ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])])])]) ).
thf(c_0_7,negated_conjecture,
( ( $eq @ esk2_0 )
= epred2_0 ),
inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5]),c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X11: a] :
( ( esk2_0 = X11 )
<=> ( epred2_0 @ X11 ) ),
inference(arg_cong,[status(thm)],[c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X1: a] :
( ( esk2_0 = X1 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_8]) ).
thf(c_0_10,negated_conjecture,
epred2_0 @ esk1_0,
inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5]),c_0_6]) ).
thf(c_0_11,negated_conjecture,
esk1_0 = esk2_0,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_12,negated_conjecture,
y @ esk2_0,
inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5]),c_0_6]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV239^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 15:26:45 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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.9ycX4DwVRI/E---3.1_4135489.p
% 0.08/0.25 % Version: 3.5.1-ho
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.25 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.08/0.25 % Starting sh5l with 300s (1) cores
% 0.08/0.25 % ehoh_best_nonlift_nonlambdatoforall with pid 4135502 completed with status 0
% 0.08/0.25 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.25 % No SInE strategy applied
% 0.08/0.25 % Search class: HUUPF-FFSF00-DSSFFFNN
% 0.08/0.25 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.08/0.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.25 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.08/0.25 % Starting sh5l with 136s (1) cores
% 0.08/0.25 % Starting new_bool_1 with 136s (1) cores
% 0.08/0.25 % Starting new_bool_2 with 136s (1) cores
% 0.08/0.25 % SubtermCWHack with pid 4135506 completed with status 10
% 0.08/0.25 % Starting new_bool_9 with 136s (1) cores
% 0.08/0.25 % ehoh_best_nonlift_nonlambdatoforall with pid 4135507 completed with status 0
% 0.08/0.25 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.25 % No SInE strategy applied
% 0.08/0.25 % Search class: HUUPF-FFSF00-DSSFFFNN
% 0.08/0.25 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.08/0.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.25 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (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 : 3
% 0.08/0.25 % Removed by relevancy pruning/SinE : 0
% 0.08/0.25 % Initial clauses : 3
% 0.08/0.25 % Removed in clause preprocessing : 2
% 0.08/0.25 % Initial clauses in saturation : 1
% 0.08/0.25 % Processed clauses : 11
% 0.08/0.25 % ...of these trivial : 0
% 0.08/0.25 % ...subsumed : 0
% 0.08/0.25 % ...remaining for further processing : 11
% 0.08/0.25 % Other redundant clauses eliminated : 3
% 0.08/0.25 % Clauses deleted for lack of memory : 0
% 0.08/0.25 % Backward-subsumed : 0
% 0.08/0.25 % Backward-rewritten : 2
% 0.08/0.25 % Generated clauses : 12
% 0.08/0.25 % ...of the previous two non-redundant : 9
% 0.08/0.25 % ...aggressively subsumed : 0
% 0.08/0.25 % Contextual simplify-reflections : 0
% 0.08/0.25 % Paramodulations : 1
% 0.08/0.25 % Factorizations : 0
% 0.08/0.25 % NegExts : 1
% 0.08/0.25 % Equation resolutions : 3
% 0.08/0.25 % Disequality decompositions : 0
% 0.08/0.25 % Total rewrite steps : 2
% 0.08/0.25 % ...of those cached : 0
% 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 : 6
% 0.08/0.25 % Positive orientable unit clauses : 4
% 0.08/0.25 % Positive unorientable unit clauses: 0
% 0.08/0.25 % Negative unit clauses : 1
% 0.08/0.25 % Non-unit-clauses : 1
% 0.08/0.25 % Current number of unprocessed clauses: 0
% 0.08/0.25 % ...number of literals in the above : 0
% 0.08/0.25 % Current number of archived formulas : 0
% 0.08/0.25 % Current number of archived clauses : 5
% 0.08/0.25 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.25 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.25 % Non-unit clause-clause subsumptions : 0
% 0.08/0.25 % Unit Clause-clause subsumption calls : 1
% 0.08/0.25 % Rewrite failures with RHS unbound : 0
% 0.08/0.25 % BW rewrite match attempts : 1
% 0.08/0.25 % BW rewrite match successes : 1
% 0.08/0.25 % Condensation attempts : 0
% 0.08/0.25 % Condensation successes : 0
% 0.08/0.25 % Termbank termtop insertions : 847
% 0.08/0.25 % Search garbage collected termcells : 43
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.002 s
% 0.08/0.25 % System time : 0.005 s
% 0.08/0.25 % Total time : 0.007 s
% 0.08/0.25 % Maximum resident set size: 3628 pages
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.009 s
% 0.08/0.25 % System time : 0.010 s
% 0.08/0.25 % Total time : 0.019 s
% 0.08/0.25 % Maximum resident set size: 4864 pages
% 0.08/0.25 % E exiting
%------------------------------------------------------------------------------