%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV239^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:35:15 AM UTC 2026
% Result : Theorem 0.01s 0.22s
% Output : CNFRefutation 0.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 58 ( 6 ~; 6 |; 12 &; 32 @)
% ( 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/sandbox/tmp/tmp.bw4Rxzmd2C/E---3.1_241656.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] :
? [X14: a > $o] :
( ? [X15: a] :
( ( y @ X15 )
& ( X14
= ( $eq @ X15 ) ) )
& ( X14 @ Z0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ? [X16: a > $o] :
( ? [X17: a] :
( ( y @ X17 )
& ( X16
= ( $eq @ X17 ) ) )
& ( X16 @ esk1_0 ) )
<~> ( y @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( ( $eq @ esk2_0 )
= epred2_0 )
| ( y @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X11: a] :
( ( ( esk2_0 = X11 )
<=> ( epred2_0 @ X11 ) )
| ( y @ esk1_0 ) ),
inference(arg_cong,[status(thm)],[c_0_6]) ).
thf(c_0_8,negated_conjecture,
( ( y @ esk1_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_9,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_10,negated_conjecture,
! [X1: a] :
( ( esk2_0 = X1 )
| ( y @ esk1_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
epred2_0 @ esk1_0,
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,negated_conjecture,
( ( y @ esk1_0 )
| ( y @ esk2_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_13,negated_conjecture,
esk1_0 = esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9]) ).
thf(c_0_14,negated_conjecture,
y @ esk2_0,
inference(sr,[status(thm)],[c_0_12,c_0_9]) ).
thf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV239^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.01/0.17 % Computer : n012.cluster.edu
% 0.01/0.17 % Model : x86_64 x86_64
% 0.01/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.01/0.17 % Memory : 8046.5625MB
% 0.01/0.17 % OS : Linux 6.8.0-71-generic
% 0.01/0.17 % CPULimit : 300
% 0.01/0.17 % WCLimit : 300
% 0.01/0.17 % DateTime : Tue Sep 29 15:26:18 UTC 2026
% 0.01/0.17 % CPUTime :
% 0.01/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.01/0.20 Running higher-order theorem proving
% 0.01/0.20 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.bw4Rxzmd2C/E---3.1_241656.p
% 0.01/0.22 % Version: 3.5.1-ho
% 0.01/0.22 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.01/0.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.01/0.22 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.01/0.22 % Starting post_as_ho10 with 300s (1) cores
% 0.01/0.22 % Starting new_bool_9 with 300s (1) cores
% 0.01/0.22 % Starting sh5l with 300s (1) cores
% 0.01/0.22 % new_bool_9 with pid 241671 completed with status 0
% 0.01/0.22 % Result found by new_bool_9
% 0.01/0.22 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.01/0.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.01/0.22 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.01/0.22 % Starting post_as_ho10 with 300s (1) cores
% 0.01/0.22 % Starting new_bool_9 with 300s (1) cores
% 0.01/0.22 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.01/0.22 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.01/0.22 % Search class: HUUPF-FFSF00-DSSFFFNN
% 0.01/0.22 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.01/0.22 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.01/0.22 % Starting SubtermCWHack with 31s (1) cores
% 0.01/0.22 % SubtermCWHack with pid 241675 completed with status 10
% 0.01/0.22 % Starting new_ho_10 with 181s (1) cores
% 0.01/0.22 % new_ho_10 with pid 241682 completed with status 0
% 0.01/0.22 % Result found by new_ho_10
% 0.01/0.22 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.01/0.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.01/0.22 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.01/0.22 % Starting post_as_ho10 with 300s (1) cores
% 0.01/0.22 % Starting new_bool_9 with 300s (1) cores
% 0.01/0.22 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.01/0.22 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.01/0.22 % Search class: HUUPF-FFSF00-DSSFFFNN
% 0.01/0.22 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.01/0.22 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.01/0.22 % Starting SubtermCWHack with 31s (1) cores
% 0.01/0.22 % SubtermCWHack with pid 241675 completed with status 10
% 0.01/0.22 % Starting new_ho_10 with 181s (1) cores
% 0.01/0.22 % Preprocessing time : 0.001 s
% 0.01/0.22 % Presaturation interreduction done
% 0.01/0.22
% 0.01/0.22 % Proof found!
% 0.01/0.22 % SZS status Theorem
% 0.01/0.22 % SZS output start CNFRefutation
% See solution above
% 0.01/0.22 % Parsed axioms : 3
% 0.01/0.22 % Removed by relevancy pruning/SinE : 2
% 0.01/0.22 % Initial clauses : 1
% 0.01/0.22 % Removed in clause preprocessing : 0
% 0.01/0.22 % Initial clauses in saturation : 1
% 0.01/0.22 % Processed clauses : 13
% 0.01/0.22 % ...of these trivial : 0
% 0.01/0.22 % ...subsumed : 0
% 0.01/0.22 % ...remaining for further processing : 13
% 0.01/0.22 % Other redundant clauses eliminated : 3
% 0.01/0.22 % Clauses deleted for lack of memory : 0
% 0.01/0.22 % Backward-subsumed : 0
% 0.01/0.22 % Backward-rewritten : 3
% 0.01/0.22 % Generated clauses : 16
% 0.01/0.22 % ...of the previous two non-redundant : 14
% 0.01/0.22 % ...aggressively subsumed : 0
% 0.01/0.22 % Contextual simplify-reflections : 0
% 0.01/0.22 % Paramodulations : 1
% 0.01/0.22 % Factorizations : 0
% 0.01/0.22 % NegExts : 1
% 0.01/0.22 % Equation resolutions : 3
% 0.01/0.22 % Disequality decompositions : 0
% 0.01/0.22 % Total rewrite steps : 5
% 0.01/0.22 % ...of those cached : 3
% 0.01/0.22 % Propositional unsat checks : 0
% 0.01/0.22 % Propositional check models : 0
% 0.01/0.22 % Propositional check unsatisfiable : 0
% 0.01/0.22 % Propositional clauses : 0
% 0.01/0.22 % Propositional clauses after purity: 0
% 0.01/0.22 % Propositional unsat core size : 0
% 0.01/0.22 % Propositional preprocessing time : 0.000
% 0.01/0.22 % Propositional encoding time : 0.000
% 0.01/0.22 % Propositional solver time : 0.000
% 0.01/0.22 % Success case prop preproc time : 0.000
% 0.01/0.22 % Success case prop encoding time : 0.000
% 0.01/0.22 % Success case prop solver time : 0.000
% 0.01/0.22 % Current number of processed clauses : 4
% 0.01/0.22 % Positive orientable unit clauses : 3
% 0.01/0.22 % Positive unorientable unit clauses: 0
% 0.01/0.22 % Negative unit clauses : 1
% 0.01/0.22 % Non-unit-clauses : 0
% 0.01/0.22 % Current number of unprocessed clauses: 2
% 0.01/0.22 % ...number of literals in the above : 3
% 0.01/0.22 % Current number of archived formulas : 0
% 0.01/0.22 % Current number of archived clauses : 9
% 0.01/0.22 % Clause-clause subsumption calls (NU) : 1
% 0.01/0.22 % Rec. Clause-clause subsumption calls : 1
% 0.01/0.22 % Non-unit clause-clause subsumptions : 0
% 0.01/0.22 % Unit Clause-clause subsumption calls : 2
% 0.01/0.22 % Rewrite failures with RHS unbound : 0
% 0.01/0.22 % BW rewrite match attempts : 1
% 0.01/0.22 % BW rewrite match successes : 1
% 0.01/0.22 % Condensation attempts : 13
% 0.01/0.22 % Condensation successes : 0
% 0.01/0.22 % Termbank termtop insertions : 867
% 0.01/0.22 % Search garbage collected termcells : 44
% 0.01/0.22
% 0.01/0.22 % -------------------------------------------------
% 0.01/0.22 % User time : 0.003 s
% 0.01/0.22 % System time : 0.001 s
% 0.01/0.22 % Total time : 0.004 s
% 0.01/0.22 % Maximum resident set size: 3628 pages
% 0.01/0.22
% 0.01/0.22 % -------------------------------------------------
% 0.01/0.22 % User time : 0.003 s
% 0.01/0.22 % System time : 0.005 s
% 0.01/0.22 % Total time : 0.008 s
% 0.01/0.22 % Maximum resident set size: 4864 pages
% 0.01/0.22 % E exiting
%------------------------------------------------------------------------------