%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU083+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 02:23:47 PM UTC 2026
% Result : Theorem 0.27s 0.54s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 4 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14_finset_1,conjecture,
! [X1,X2] :
( ( finite(X2)
& finite(X1) )
=> finite(set_union2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).
fof(fc9_finset_1,axiom,
! [X1,X2] :
( ( finite(X2)
& finite(X1) )
=> finite(set_union2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finset_1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( ( finite(X2)
& finite(X1) )
=> finite(set_union2(X1,X2)) ),
inference(assume_negation,[status(cth)],[t14_finset_1]) ).
fof(c_0_3,negated_conjecture,
( ~ finite(set_union2(esk1_0,esk2_0))
& finite(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,
! [X9,X10] :
( finite(set_union2(X9,X10))
| ~ finite(X10)
| ~ finite(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_finset_1])])]) ).
cnf(c_0_5,negated_conjecture,
~ finite(set_union2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ finite(X2)
| ~ finite(X1)
| finite(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
finite(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
finite(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU083+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.43 % Computer : n011.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 21 05:49:40 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.27/0.54 % Version: 3.5.1
% 0.27/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.54 % Starting sh5l with 300s (1) cores
% 0.27/0.54 % new_bool_3 with pid 1104631 completed with status 0
% 0.27/0.54 % Result found by new_bool_3
% 0.27/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.54 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.27/0.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.54 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.54 % SubtermCWHack with pid 1104634 completed with status 0
% 0.27/0.54 % Result found by SubtermCWHack
% 0.27/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.54 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.27/0.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.54 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.54 % Preprocessing time : 0.002 s
% 0.27/0.54
% 0.27/0.54 % Proof found!
% 0.27/0.54 % SZS status Theorem
% 0.27/0.54 % SZS output start CNFRefutation
% See solution above
% 0.27/0.54 % Parsed axioms : 62
% 0.27/0.54 % Removed by relevancy pruning/SinE : 13
% 0.27/0.54 % Initial clauses : 103
% 0.27/0.54 % Removed in clause preprocessing : 2
% 0.27/0.54 % Initial clauses in saturation : 101
% 0.27/0.54 % Processed clauses : 121
% 0.27/0.54 % ...of these trivial : 8
% 0.27/0.54 % ...subsumed : 7
% 0.27/0.54 % ...remaining for further processing : 106
% 0.27/0.54 % Other redundant clauses eliminated : 0
% 0.27/0.54 % Clauses deleted for lack of memory : 0
% 0.27/0.54 % Backward-subsumed : 0
% 0.27/0.54 % Backward-rewritten : 23
% 0.27/0.54 % Generated clauses : 60
% 0.27/0.54 % ...of the previous two non-redundant : 33
% 0.27/0.54 % ...aggressively subsumed : 0
% 0.27/0.54 % Contextual simplify-reflections : 2
% 0.27/0.54 % Paramodulations : 60
% 0.27/0.54 % Factorizations : 0
% 0.27/0.54 % NegExts : 0
% 0.27/0.54 % Equation resolutions : 0
% 0.27/0.54 % Disequality decompositions : 0
% 0.27/0.54 % Total rewrite steps : 74
% 0.27/0.54 % ...of those cached : 49
% 0.27/0.54 % Propositional unsat checks : 0
% 0.27/0.54 % Propositional check models : 0
% 0.27/0.54 % Propositional check unsatisfiable : 0
% 0.27/0.54 % Propositional clauses : 0
% 0.27/0.54 % Propositional clauses after purity: 0
% 0.27/0.54 % Propositional unsat core size : 0
% 0.27/0.54 % Propositional preprocessing time : 0.000
% 0.27/0.54 % Propositional encoding time : 0.000
% 0.27/0.54 % Propositional solver time : 0.000
% 0.27/0.54 % Success case prop preproc time : 0.000
% 0.27/0.54 % Success case prop encoding time : 0.000
% 0.27/0.54 % Success case prop solver time : 0.000
% 0.27/0.54 % Current number of processed clauses : 83
% 0.27/0.54 % Positive orientable unit clauses : 41
% 0.27/0.54 % Positive unorientable unit clauses: 1
% 0.27/0.54 % Negative unit clauses : 7
% 0.27/0.54 % Non-unit-clauses : 34
% 0.27/0.54 % Current number of unprocessed clauses: 13
% 0.27/0.54 % ...number of literals in the above : 39
% 0.27/0.54 % Current number of archived formulas : 0
% 0.27/0.54 % Current number of archived clauses : 23
% 0.27/0.54 % Clause-clause subsumption calls (NU) : 288
% 0.27/0.54 % Rec. Clause-clause subsumption calls : 277
% 0.27/0.54 % Non-unit clause-clause subsumptions : 9
% 0.27/0.54 % Unit Clause-clause subsumption calls : 26
% 0.27/0.54 % Rewrite failures with RHS unbound : 0
% 0.27/0.54 % BW rewrite match attempts : 18
% 0.27/0.54 % BW rewrite match successes : 16
% 0.27/0.54 % Condensation attempts : 0
% 0.27/0.54 % Condensation successes : 0
% 0.27/0.54 % Termbank termtop insertions : 4473
% 0.27/0.54 % Search garbage collected termcells : 623
% 0.27/0.54
% 0.27/0.54 % -------------------------------------------------
% 0.27/0.54 % User time : 0.012 s
% 0.27/0.54 % System time : 0.003 s
% 0.27/0.54 % Total time : 0.015 s
% 0.27/0.54 % Maximum resident set size: 3680 pages
% 0.27/0.54
% 0.27/0.54 % -------------------------------------------------
% 0.27/0.54 % User time : 0.015 s
% 0.27/0.54 % System time : 0.010 s
% 0.27/0.54 % Total time : 0.025 s
% 0.27/0.54 % Maximum resident set size: 4608 pages
% 0.27/0.54 % E exiting
%------------------------------------------------------------------------------