%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU294+3 : 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 : 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 : Thu Sep 24 02:24:36 PM UTC 2026
% Result : Theorem 0.15s 0.63s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 10 ~; 7 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_finset_1,conjecture,
! [X1,X2] :
( ( finite(X2)
& subset(X1,X2) )
=> finite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(cc2_finset_1,axiom,
! [X1] :
( finite(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> finite(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( finite(X2)
& subset(X1,X2) )
=> finite(X1) ),
inference(assume_negation,[status(cth)],[t13_finset_1]) ).
fof(c_0_4,plain,
! [X58,X59] :
( ( element(X58,powerset(X59))
| ~ subset(X58,X59) )
& ( subset(X58,X59)
| ~ element(X58,powerset(X59)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
fof(c_0_5,negated_conjecture,
( ~ finite(esk27_0)
& finite(esk28_0)
& subset(esk27_0,esk28_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X13,X14] :
( finite(X14)
| ~ element(X14,powerset(X13))
| ~ finite(X13) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])])]) ).
cnf(c_0_7,plain,
( ~ subset(X1,X2)
| element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
subset(esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ element(X2,powerset(X1))
| ~ finite(X1)
| finite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
element(esk27_0,powerset(esk28_0)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
finite(esk28_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
~ finite(esk27_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU294+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.56 % Computer : n019.cluster.edu
% 0.12/0.56 % Model : x86_64 x86_64
% 0.12/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.56 % Memory : 8046.5625MB
% 0.12/0.56 % OS : Linux 6.8.0-71-generic
% 0.12/0.56 % CPULimit : 300
% 0.12/0.56 % WCLimit : 300
% 0.12/0.56 % DateTime : Mon Sep 21 06:08:50 UTC 2026
% 0.12/0.56 % CPUTime :
% 0.12/0.56 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.61 Running first-order theorem proving
% 0.12/0.61 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
% 0.15/0.63 % Version: 3.5.1
% 0.15/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.63 % Starting sh5l with 300s (1) cores
% 0.15/0.63 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1848718 completed with status 0
% 0.15/0.63 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.63 % No SInE strategy applied
% 0.15/0.63 % Search class: FGHSM-FFMM11-SFFFFFNN
% 0.15/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.63 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.63 % SubtermCWHack with pid 1848723 completed with status 0
% 0.15/0.63 % Result found by SubtermCWHack
% 0.15/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.63 % No SInE strategy applied
% 0.15/0.63 % Search class: FGHSM-FFMM11-SFFFFFNN
% 0.15/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.63 % Preprocessing time : 0.001 s
% 0.15/0.63
% 0.15/0.63 % Proof found!
% 0.15/0.63 % SZS status Theorem
% 0.15/0.63 % SZS output start CNFRefutation
% See solution above
% 0.15/0.63 % Parsed axioms : 54
% 0.15/0.63 % Removed by relevancy pruning/SinE : 0
% 0.15/0.63 % Initial clauses : 140
% 0.15/0.63 % Removed in clause preprocessing : 4
% 0.15/0.63 % Initial clauses in saturation : 136
% 0.15/0.63 % Processed clauses : 164
% 0.15/0.63 % ...of these trivial : 7
% 0.15/0.63 % ...subsumed : 12
% 0.15/0.63 % ...remaining for further processing : 145
% 0.15/0.63 % Other redundant clauses eliminated : 0
% 0.15/0.63 % Clauses deleted for lack of memory : 0
% 0.15/0.63 % Backward-subsumed : 0
% 0.15/0.63 % Backward-rewritten : 29
% 0.15/0.63 % Generated clauses : 60
% 0.15/0.63 % ...of the previous two non-redundant : 38
% 0.15/0.63 % ...aggressively subsumed : 0
% 0.15/0.63 % Contextual simplify-reflections : 3
% 0.15/0.63 % Paramodulations : 60
% 0.15/0.63 % Factorizations : 0
% 0.15/0.63 % NegExts : 0
% 0.15/0.63 % Equation resolutions : 0
% 0.15/0.63 % Disequality decompositions : 0
% 0.15/0.63 % Total rewrite steps : 86
% 0.15/0.63 % ...of those cached : 57
% 0.15/0.63 % Propositional unsat checks : 0
% 0.15/0.63 % Propositional check models : 0
% 0.15/0.63 % Propositional check unsatisfiable : 0
% 0.15/0.63 % Propositional clauses : 0
% 0.15/0.63 % Propositional clauses after purity: 0
% 0.15/0.63 % Propositional unsat core size : 0
% 0.15/0.63 % Propositional preprocessing time : 0.000
% 0.15/0.63 % Propositional encoding time : 0.000
% 0.15/0.63 % Propositional solver time : 0.000
% 0.15/0.63 % Success case prop preproc time : 0.000
% 0.15/0.63 % Success case prop encoding time : 0.000
% 0.15/0.63 % Success case prop solver time : 0.000
% 0.15/0.63 % Current number of processed clauses : 116
% 0.15/0.63 % Positive orientable unit clauses : 68
% 0.15/0.63 % Positive unorientable unit clauses: 0
% 0.15/0.63 % Negative unit clauses : 10
% 0.15/0.63 % Non-unit-clauses : 38
% 0.15/0.63 % Current number of unprocessed clauses: 10
% 0.15/0.63 % ...number of literals in the above : 30
% 0.15/0.63 % Current number of archived formulas : 0
% 0.15/0.63 % Current number of archived clauses : 29
% 0.15/0.63 % Clause-clause subsumption calls (NU) : 82
% 0.15/0.63 % Rec. Clause-clause subsumption calls : 76
% 0.15/0.63 % Non-unit clause-clause subsumptions : 9
% 0.15/0.63 % Unit Clause-clause subsumption calls : 52
% 0.15/0.63 % Rewrite failures with RHS unbound : 0
% 0.15/0.63 % BW rewrite match attempts : 13
% 0.15/0.63 % BW rewrite match successes : 7
% 0.15/0.63 % Condensation attempts : 0
% 0.15/0.63 % Condensation successes : 0
% 0.15/0.63 % Termbank termtop insertions : 5110
% 0.15/0.63 % Search garbage collected termcells : 693
% 0.15/0.63
% 0.15/0.63 % -------------------------------------------------
% 0.15/0.63 % User time : 0.007 s
% 0.15/0.63 % System time : 0.005 s
% 0.15/0.63 % Total time : 0.013 s
% 0.15/0.63 % Maximum resident set size: 3672 pages
% 0.15/0.63
% 0.15/0.63 % -------------------------------------------------
% 0.15/0.63 % User time : 0.026 s
% 0.15/0.63 % System time : 0.012 s
% 0.15/0.63 % Total time : 0.038 s
% 0.15/0.63 % Maximum resident set size: 4864 pages
% 0.15/0.63 % E exiting
%------------------------------------------------------------------------------