%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU896^5 : 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 : n007.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 08:25:54 AM UTC 2026
% Result : Theorem 0.06s 0.25s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 41 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 47 ( 6 ~; 13 |; 6 &; 21 @)
% ( 0 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 10 ^; 0 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_23,type,
y: b ).
thf(decl_24,type,
g: b > a ).
thf(decl_25,type,
x: b ).
thf(decl_26,type,
esk1_0: a ).
thf(decl_27,type,
esk2_0: b ).
thf(cTHM500_pme,conjecture,
( ( ^ [X1: a] :
? [X2: b] :
( ( ( X2 = x )
| ( X2 = y ) )
& ( X1
= ( g @ X2 ) ) ) )
= ( ^ [X3: a] :
( ( X3
= ( g @ x ) )
| ( X3
= ( g @ y ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GvIaJzuo8Y/E---3.1_3457199.p',cTHM500_pme) ).
thf(c_0_1,negated_conjecture,
( ( ^ [X1: a] :
? [X2: b] :
( ( ( X2 = x )
| ( X2 = y ) )
& ( X1
= ( g @ X2 ) ) ) )
!= ( ^ [X3: a] :
( ( X3
= ( g @ x ) )
| ( X3
= ( g @ y ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM500_pme]) ).
thf(c_0_2,negated_conjecture,
( ( ^ [Z0: a] :
? [X2: b] :
( ( ( X2 = x )
| ( X2 = y ) )
& ( Z0
= ( g @ X2 ) ) ) )
!= ( ^ [Z0: a] :
( ( Z0
= ( g @ x ) )
| ( Z0
= ( g @ y ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
( ( ^ [Z0: a] :
? [X2: b] :
( ( ( X2 = x )
| ( X2 = y ) )
& ( Z0
= ( g @ X2 ) ) ) )
!= ( ^ [Z0: a] :
( ( Z0
= ( g @ x ) )
| ( Z0
= ( g @ y ) ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( ^ [Z0: a] :
? [X7: b] :
( ( ( X7 = x )
| ( X7 = y ) )
& ( Z0
= ( g @ X7 ) ) ) )
!= ( ^ [Z0: a] :
( ( Z0
= ( g @ x ) )
| ( Z0
= ( g @ y ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ? [X8: b] :
( ( ( X8 = x )
| ( X8 = y ) )
& ( esk1_0
= ( g @ X8 ) ) )
<~> ( ( esk1_0
= ( g @ x ) )
| ( esk1_0
= ( g @ y ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( g @ x )
!= esk1_0 ),
inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]) ).
thf(c_0_7,negated_conjecture,
( ( g @ y )
!= esk1_0 ),
inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]) ).
thf(c_0_8,negated_conjecture,
( ( y = esk2_0 )
| ( x = esk2_0 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5]),c_0_6]),c_0_7]) ).
thf(c_0_9,negated_conjecture,
( ( g @ esk2_0 )
= esk1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5]),c_0_6]),c_0_7]) ).
thf(c_0_10,negated_conjecture,
y = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_8]),c_0_9])]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_10]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU896^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n007.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 14:42:40 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.06/0.23 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.GvIaJzuo8Y/E---3.1_3457199.p
% 0.06/0.25 % Version: 3.5.1-ho
% 0.06/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.06/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.06/0.25 % Starting post_as_ho10 with 300s (1) cores
% 0.06/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.06/0.25 % Starting sh5l with 300s (1) cores
% 0.06/0.25 % ehoh_best_nonlift_nonlambdatoforall with pid 3457212 completed with status 0
% 0.06/0.25 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.06/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.06/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.06/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.06/0.25 % No SInE strategy applied
% 0.06/0.25 % Search class: HUUPF-FFSF11-DSSFFFNN
% 0.06/0.25 % partial match(1): HUUPF-FFSF11-MSSFFFNN
% 0.06/0.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.06/0.25 % Starting SubtermCWHack with 136s (1) cores
% 0.06/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.06/0.25 % Starting sh5l with 136s (1) cores
% 0.06/0.25 % Starting new_bool_1 with 136s (1) cores
% 0.06/0.25 % Starting new_bool_2 with 136s (1) cores
% 0.06/0.25 % SubtermCWHack with pid 3457216 completed with status 10
% 0.06/0.25 % Starting new_bool_9 with 136s (1) cores
% 0.06/0.25 % sh5l with pid 3457218 completed with status 0
% 0.06/0.25 % Result found by sh5l
% 0.06/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.06/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.06/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.06/0.25 % No SInE strategy applied
% 0.06/0.25 % Search class: HUUPF-FFSF11-DSSFFFNN
% 0.06/0.25 % partial match(1): HUUPF-FFSF11-MSSFFFNN
% 0.06/0.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.06/0.25 % Starting SubtermCWHack with 136s (1) cores
% 0.06/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.06/0.25 % Starting sh5l with 136s (1) cores
% 0.06/0.25 % Preprocessing time : 0.001 s
% 0.06/0.25 % Presaturation interreduction done
% 0.06/0.25
% 0.06/0.25 % Proof found!
% 0.06/0.25 % SZS status Theorem
% 0.06/0.25 % SZS output start CNFRefutation
% See solution above
% 0.06/0.25 % Parsed axioms : 6
% 0.06/0.25 % Removed by relevancy pruning/SinE : 0
% 0.06/0.25 % Initial clauses : 6
% 0.06/0.25 % Removed in clause preprocessing : 5
% 0.06/0.25 % Initial clauses in saturation : 1
% 0.06/0.25 % Processed clauses : 11
% 0.06/0.25 % ...of these trivial : 0
% 0.06/0.25 % ...subsumed : 3
% 0.06/0.25 % ...remaining for further processing : 8
% 0.06/0.25 % Other redundant clauses eliminated : 4
% 0.06/0.25 % Clauses deleted for lack of memory : 0
% 0.06/0.25 % Backward-subsumed : 0
% 0.06/0.25 % Backward-rewritten : 2
% 0.06/0.25 % Generated clauses : 13
% 0.06/0.25 % ...of the previous two non-redundant : 9
% 0.06/0.25 % ...aggressively subsumed : 0
% 0.06/0.25 % Contextual simplify-reflections : 0
% 0.06/0.25 % Paramodulations : 1
% 0.06/0.25 % Factorizations : 0
% 0.06/0.25 % NegExts : 1
% 0.06/0.25 % Equation resolutions : 4
% 0.06/0.25 % Disequality decompositions : 0
% 0.06/0.25 % Total rewrite steps : 3
% 0.06/0.25 % ...of those cached : 1
% 0.06/0.25 % Propositional unsat checks : 0
% 0.06/0.25 % Propositional check models : 0
% 0.06/0.25 % Propositional check unsatisfiable : 0
% 0.06/0.25 % Propositional clauses : 0
% 0.06/0.25 % Propositional clauses after purity: 0
% 0.06/0.25 % Propositional unsat core size : 0
% 0.06/0.25 % Propositional preprocessing time : 0.000
% 0.06/0.25 % Propositional encoding time : 0.000
% 0.06/0.25 % Propositional solver time : 0.000
% 0.06/0.25 % Success case prop preproc time : 0.000
% 0.06/0.25 % Success case prop encoding time : 0.000
% 0.06/0.25 % Success case prop solver time : 0.000
% 0.06/0.25 % Current number of processed clauses : 4
% 0.06/0.25 % Positive orientable unit clauses : 2
% 0.06/0.25 % Positive unorientable unit clauses: 0
% 0.06/0.25 % Negative unit clauses : 2
% 0.06/0.25 % Non-unit-clauses : 0
% 0.06/0.25 % Current number of unprocessed clauses: 0
% 0.06/0.25 % ...number of literals in the above : 0
% 0.06/0.25 % Current number of archived formulas : 0
% 0.06/0.25 % Current number of archived clauses : 4
% 0.06/0.25 % Clause-clause subsumption calls (NU) : 0
% 0.06/0.25 % Rec. Clause-clause subsumption calls : 0
% 0.06/0.25 % Non-unit clause-clause subsumptions : 0
% 0.06/0.25 % Unit Clause-clause subsumption calls : 2
% 0.06/0.25 % Rewrite failures with RHS unbound : 0
% 0.06/0.25 % BW rewrite match attempts : 1
% 0.06/0.25 % BW rewrite match successes : 1
% 0.06/0.25 % Condensation attempts : 11
% 0.06/0.25 % Condensation successes : 0
% 0.06/0.25 % Termbank termtop insertions : 581
% 0.06/0.25 % Search garbage collected termcells : 7
% 0.06/0.25
% 0.06/0.25 % -------------------------------------------------
% 0.06/0.25 % User time : 0.003 s
% 0.06/0.25 % System time : 0.004 s
% 0.06/0.25 % Total time : 0.007 s
% 0.06/0.25 % Maximum resident set size: 3632 pages
% 0.06/0.25
% 0.06/0.25 % -------------------------------------------------
% 0.06/0.25 % User time : 0.009 s
% 0.06/0.25 % System time : 0.011 s
% 0.06/0.25 % Total time : 0.021 s
% 0.06/0.25 % Maximum resident set size: 4864 pages
% 0.06/0.25 % E exiting
%------------------------------------------------------------------------------