%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET609^5 : 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 : n019.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 08:22:41 AM UTC 2026
% Result : Theorem 0.24s 0.29s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 5 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 100 ( 24 ~; 6 |; 24 &; 45 @)
% ( 0 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 10 ^; 9 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
epred3_0: a > $o ).
thf(decl_26,type,
esk4_0: a ).
thf(cBOOL_PROP_81_pme,conjecture,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
( ( X1 @ X4 )
& ~ ( ( X2 @ X4 )
& ~ ( X3 @ X4 ) ) ) )
= ( ^ [X5: a] :
( ( ( X1 @ X5 )
& ~ ( X2 @ X5 ) )
| ( ( X1 @ X5 )
& ( X3 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.4NZ6IiP3xK/E---3.1_776155.p',cBOOL_PROP_81_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
( ( X1 @ X4 )
& ~ ( ( X2 @ X4 )
& ~ ( X3 @ X4 ) ) ) )
= ( ^ [X5: a] :
( ( ( X1 @ X5 )
& ~ ( X2 @ X5 ) )
| ( ( X1 @ X5 )
& ( X3 @ X5 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_81_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [Z0: a] :
( ( X1 @ Z0 )
& ~ ( ( X2 @ Z0 )
& ~ ( X3 @ Z0 ) ) ) )
= ( ^ [Z0: a] :
( ( ( X1 @ Z0 )
& ~ ( X2 @ Z0 ) )
| ( ( X1 @ Z0 )
& ( X3 @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ~ ( ( epred2_0 @ Z0 )
& ~ ( epred3_0 @ Z0 ) ) ) )
!= ( ^ [Z0: a] :
( ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ( epred3_0 @ Z0 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
thf(c_0_4,negated_conjecture,
( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ~ ( ( epred2_0 @ Z0 )
& ~ ( epred3_0 @ Z0 ) ) ) )
!= ( ^ [Z0: a] :
( ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ( epred3_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( ( ( epred1_0 @ esk4_0 )
& ~ ( epred2_0 @ esk4_0 ) )
| ( ( epred1_0 @ esk4_0 )
& ( epred3_0 @ esk4_0 ) ) )
<~> ( ( epred1_0 @ esk4_0 )
& ~ ( ( epred2_0 @ esk4_0 )
& ~ ( epred3_0 @ esk4_0 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
epred1_0 @ esk4_0,
inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]) ).
thf(c_0_7,negated_conjecture,
~ ( epred3_0 @ esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]),c_0_6])]) ).
thf(c_0_8,negated_conjecture,
~ ( epred2_0 @ esk4_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]),c_0_7]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_5])]),c_0_6])]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET609^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n019.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 13:39:02 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 0.24/0.26 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.4NZ6IiP3xK/E---3.1_776155.p
% 0.24/0.29 % Version: 3.5.1-ho
% 0.24/0.29 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.24/0.29 % Starting post_as_ho10 with 300s (1) cores
% 0.24/0.29 % Starting new_bool_9 with 300s (1) cores
% 0.24/0.29 % Starting sh5l with 300s (1) cores
% 0.24/0.29 % ehoh_best_nonlift_nonlambdatoforall with pid 776168 completed with status 0
% 0.24/0.29 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.24/0.29 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.29 % No SInE strategy applied
% 0.24/0.29 % Search class: HUUPF-FFSF00-DSSFFFNN
% 0.24/0.29 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.24/0.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.29 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.29 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.24/0.29 % Starting sh5l with 136s (1) cores
% 0.24/0.29 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.29 % Starting new_bool_2 with 136s (1) cores
% 0.24/0.29 % SubtermCWHack with pid 776172 completed with status 10
% 0.24/0.29 % Starting new_bool_9 with 136s (1) cores
% 0.24/0.29 % ehoh_best_nonlift_nonlambdatoforall with pid 776173 completed with status 0
% 0.24/0.29 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.24/0.29 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.29 % No SInE strategy applied
% 0.24/0.29 % Search class: HUUPF-FFSF00-DSSFFFNN
% 0.24/0.29 % partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.24/0.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.29 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.29 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.24/0.29 % Preprocessing time : 0.002 s
% 0.24/0.29 % Presaturation interreduction done
% 0.24/0.29
% 0.24/0.29 % Proof found!
% 0.24/0.29 % SZS status Theorem
% 0.24/0.29 % SZS output start CNFRefutation
% See solution above
% 0.24/0.29 % Parsed axioms : 2
% 0.24/0.29 % Removed by relevancy pruning/SinE : 0
% 0.24/0.29 % Initial clauses : 2
% 0.24/0.29 % Removed in clause preprocessing : 1
% 0.24/0.29 % Initial clauses in saturation : 1
% 0.24/0.29 % Processed clauses : 9
% 0.24/0.29 % ...of these trivial : 1
% 0.24/0.29 % ...subsumed : 1
% 0.24/0.29 % ...remaining for further processing : 6
% 0.24/0.29 % Other redundant clauses eliminated : 0
% 0.24/0.29 % Clauses deleted for lack of memory : 0
% 0.24/0.29 % Backward-subsumed : 0
% 0.24/0.29 % Backward-rewritten : 0
% 0.24/0.29 % Generated clauses : 14
% 0.24/0.29 % ...of the previous two non-redundant : 14
% 0.24/0.29 % ...aggressively subsumed : 0
% 0.24/0.29 % Contextual simplify-reflections : 0
% 0.24/0.29 % Paramodulations : 0
% 0.24/0.29 % Factorizations : 0
% 0.24/0.29 % NegExts : 1
% 0.24/0.29 % Equation resolutions : 0
% 0.24/0.29 % Disequality decompositions : 0
% 0.24/0.29 % Total rewrite steps : 3
% 0.24/0.29 % ...of those cached : 2
% 0.24/0.29 % Propositional unsat checks : 0
% 0.24/0.29 % Propositional check models : 0
% 0.24/0.29 % Propositional check unsatisfiable : 0
% 0.24/0.29 % Propositional clauses : 0
% 0.24/0.29 % Propositional clauses after purity: 0
% 0.24/0.29 % Propositional unsat core size : 0
% 0.24/0.29 % Propositional preprocessing time : 0.000
% 0.24/0.29 % Propositional encoding time : 0.000
% 0.24/0.29 % Propositional solver time : 0.000
% 0.24/0.29 % Success case prop preproc time : 0.000
% 0.24/0.29 % Success case prop encoding time : 0.000
% 0.24/0.29 % Success case prop solver time : 0.000
% 0.24/0.29 % Current number of processed clauses : 4
% 0.24/0.29 % Positive orientable unit clauses : 1
% 0.24/0.29 % Positive unorientable unit clauses: 0
% 0.24/0.29 % Negative unit clauses : 3
% 0.24/0.29 % Non-unit-clauses : 0
% 0.24/0.29 % Current number of unprocessed clauses: 7
% 0.24/0.29 % ...number of literals in the above : 20
% 0.24/0.29 % Current number of archived formulas : 0
% 0.24/0.29 % Current number of archived clauses : 2
% 0.24/0.29 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.29 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.29 % Non-unit clause-clause subsumptions : 0
% 0.24/0.29 % Unit Clause-clause subsumption calls : 2
% 0.24/0.29 % Rewrite failures with RHS unbound : 0
% 0.24/0.29 % BW rewrite match attempts : 0
% 0.24/0.29 % BW rewrite match successes : 0
% 0.24/0.29 % Condensation attempts : 0
% 0.24/0.29 % Condensation successes : 0
% 0.24/0.29 % Termbank termtop insertions : 807
% 0.24/0.29 % Search garbage collected termcells : 68
% 0.24/0.29
% 0.24/0.29 % -------------------------------------------------
% 0.24/0.29 % User time : 0.006 s
% 0.24/0.29 % System time : 0.005 s
% 0.24/0.29 % Total time : 0.011 s
% 0.24/0.29 % Maximum resident set size: 3632 pages
% 0.24/0.29
% 0.24/0.29 % -------------------------------------------------
% 0.24/0.29 % User time : 0.013 s
% 0.24/0.29 % System time : 0.010 s
% 0.24/0.29 % Total time : 0.023 s
% 0.24/0.29 % Maximum resident set size: 4864 pages
% 0.24/0.29 % E exiting
%------------------------------------------------------------------------------