%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 : Thu Sep 24 02:28:52 PM UTC 2026
% Result : Theorem 0.20s 5.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 2 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_finset_1,conjecture,
! [X1,X2] :
( finite(X1)
=> finite(set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).
fof(fc11_finset_1,axiom,
! [X1,X2] :
( finite(X1)
=> finite(set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc11_finset_1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( finite(X1)
=> finite(set_intersection2(X1,X2)) ),
inference(assume_negation,[status(cth)],[t15_finset_1]) ).
fof(c_0_3,negated_conjecture,
( ~ finite(set_intersection2(esk1_0,esk2_0))
& finite(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,plain,
! [X11,X12] :
( finite(set_intersection2(X11,X12))
| ~ finite(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_finset_1])])]) ).
cnf(c_0_5,negated_conjecture,
~ finite(set_intersection2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ finite(X1)
| finite(set_intersection2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
finite(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 % Computer : n010.cluster.edu
% 0.13/5.41 % Model : x86_64 x86_64
% 0.13/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.41 % Memory : 8046.5625MB
% 0.13/5.41 % OS : Linux 6.8.0-71-generic
% 0.13/5.41 % CPULimit : 300
% 0.13/5.41 % WCLimit : 300
% 0.13/5.41 % DateTime : Mon Sep 21 06:09:00 UTC 2026
% 0.13/5.41 % CPUTime :
% 0.13/5.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.48 Running first-order theorem proving
% 0.13/5.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/5.53 % Version: 3.5.1
% 0.20/5.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/5.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/5.53 % Starting new_bool_3 with 300s (1) cores
% 0.20/5.53 % Starting new_bool_1 with 300s (1) cores
% 0.20/5.53 % Starting sh5l with 300s (1) cores
% 0.20/5.53 % new_bool_3 with pid 181047 completed with status 0
% 0.20/5.53 % Result found by new_bool_3
% 0.20/5.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/5.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/5.53 % Starting new_bool_3 with 300s (1) cores
% 0.20/5.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/5.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/5.53 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.20/5.53 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/5.53 % Starting SubtermCWHack with 28s (1) cores
% 0.20/5.53 % SubtermCWHack with pid 181057 completed with status 0
% 0.20/5.53 % Result found by SubtermCWHack
% 0.20/5.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/5.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/5.53 % Starting new_bool_3 with 300s (1) cores
% 0.20/5.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/5.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/5.53 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.20/5.53 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/5.53 % Starting SubtermCWHack with 28s (1) cores
% 0.20/5.53 % Preprocessing time : 0.002 s
% 0.20/5.53
% 0.20/5.53 % Proof found!
% 0.20/5.53 % SZS status Theorem
% 0.20/5.53 % SZS output start CNFRefutation
% See solution above
% 0.20/5.53 % Parsed axioms : 62
% 0.20/5.53 % Removed by relevancy pruning/SinE : 15
% 0.20/5.53 % Initial clauses : 100
% 0.20/5.53 % Removed in clause preprocessing : 2
% 0.20/5.53 % Initial clauses in saturation : 98
% 0.20/5.53 % Processed clauses : 97
% 0.20/5.53 % ...of these trivial : 7
% 0.20/5.53 % ...subsumed : 1
% 0.20/5.53 % ...remaining for further processing : 89
% 0.20/5.53 % Other redundant clauses eliminated : 0
% 0.20/5.53 % Clauses deleted for lack of memory : 0
% 0.20/5.53 % Backward-subsumed : 0
% 0.20/5.53 % Backward-rewritten : 23
% 0.20/5.53 % Generated clauses : 20
% 0.20/5.53 % ...of the previous two non-redundant : 13
% 0.20/5.53 % ...aggressively subsumed : 0
% 0.20/5.53 % Contextual simplify-reflections : 0
% 0.20/5.53 % Paramodulations : 20
% 0.20/5.53 % Factorizations : 0
% 0.20/5.53 % NegExts : 0
% 0.20/5.53 % Equation resolutions : 0
% 0.20/5.53 % Disequality decompositions : 0
% 0.20/5.53 % Total rewrite steps : 62
% 0.20/5.53 % ...of those cached : 41
% 0.20/5.53 % Propositional unsat checks : 0
% 0.20/5.53 % Propositional check models : 0
% 0.20/5.53 % Propositional check unsatisfiable : 0
% 0.20/5.53 % Propositional clauses : 0
% 0.20/5.53 % Propositional clauses after purity: 0
% 0.20/5.53 % Propositional unsat core size : 0
% 0.20/5.53 % Propositional preprocessing time : 0.000
% 0.20/5.53 % Propositional encoding time : 0.000
% 0.20/5.53 % Propositional solver time : 0.000
% 0.20/5.53 % Success case prop preproc time : 0.000
% 0.20/5.53 % Success case prop encoding time : 0.000
% 0.20/5.53 % Success case prop solver time : 0.000
% 0.20/5.53 % Current number of processed clauses : 66
% 0.20/5.53 % Positive orientable unit clauses : 39
% 0.20/5.53 % Positive unorientable unit clauses: 0
% 0.20/5.53 % Negative unit clauses : 9
% 0.20/5.53 % Non-unit-clauses : 18
% 0.20/5.53 % Current number of unprocessed clauses: 14
% 0.20/5.53 % ...number of literals in the above : 38
% 0.20/5.53 % Current number of archived formulas : 0
% 0.20/5.53 % Current number of archived clauses : 23
% 0.20/5.53 % Clause-clause subsumption calls (NU) : 39
% 0.20/5.53 % Rec. Clause-clause subsumption calls : 39
% 0.20/5.53 % Non-unit clause-clause subsumptions : 1
% 0.20/5.53 % Unit Clause-clause subsumption calls : 15
% 0.20/5.53 % Rewrite failures with RHS unbound : 0
% 0.20/5.53 % BW rewrite match attempts : 8
% 0.20/5.53 % BW rewrite match successes : 6
% 0.20/5.53 % Condensation attempts : 0
% 0.20/5.53 % Condensation successes : 0
% 0.20/5.53 % Termbank termtop insertions : 3847
% 0.20/5.53 % Search garbage collected termcells : 601
% 0.20/5.53
% 0.20/5.53 % -------------------------------------------------
% 0.20/5.53 % User time : 0.013 s
% 0.20/5.53 % System time : 0.002 s
% 0.20/5.53 % Total time : 0.014 s
% 0.20/5.53 % Maximum resident set size: 3884 pages
% 0.20/5.53
% 0.20/5.53 % -------------------------------------------------
% 0.20/5.53 % User time : 0.017 s
% 0.20/5.53 % System time : 0.007 s
% 0.20/5.53 % Total time : 0.024 s
% 0.20/5.53 % Maximum resident set size: 4864 pages
% 0.20/5.53 % E exiting
%------------------------------------------------------------------------------