TSTP Solution File: SEU303+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU303+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:18:48 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 36 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 8 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_finset_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(relation_dom(X1))
=> finite(relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_finset_1) ).
fof(t146_relat_1,lemma,
! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t146_relat_1) ).
fof(fc13_finset_1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& finite(X2) )
=> finite(relation_image(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc13_finset_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(relation_dom(X1))
=> finite(relation_rng(X1)) ) ),
inference(assume_negation,[status(cth)],[t26_finset_1]) ).
fof(c_0_4,negated_conjecture,
( relation(esk1_0)
& function(esk1_0)
& finite(relation_dom(esk1_0))
& ~ finite(relation_rng(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,lemma,
! [X2] :
( ~ relation(X2)
| relation_image(X2,relation_dom(X2)) = relation_rng(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_relat_1])]) ).
cnf(c_0_6,negated_conjecture,
~ finite(relation_rng(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,lemma,
( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ finite(X4)
| finite(relation_image(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])]) ).
cnf(c_0_10,negated_conjecture,
~ finite(relation_image(esk1_0,relation_dom(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,plain,
( finite(relation_image(X1,X2))
| ~ finite(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
finite(relation_dom(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_8]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU303+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 08:36:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.045 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 15
% 0.24/1.42 # Proof object clause steps : 8
% 0.24/1.42 # Proof object formula steps : 7
% 0.24/1.42 # Proof object conjectures : 9
% 0.24/1.42 # Proof object clause conjectures : 6
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 6
% 0.24/1.42 # Proof object initial formulas used : 3
% 0.24/1.42 # Proof object generating inferences : 2
% 0.24/1.42 # Proof object simplifying inferences : 6
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 420
% 0.24/1.42 # Removed by relevancy pruning/SinE : 319
% 0.24/1.42 # Initial clauses : 360
% 0.24/1.42 # Removed in clause preprocessing : 1
% 0.24/1.42 # Initial clauses in saturation : 359
% 0.24/1.42 # Processed clauses : 365
% 0.24/1.42 # ...of these trivial : 3
% 0.24/1.42 # ...subsumed : 19
% 0.24/1.42 # ...remaining for further processing : 343
% 0.24/1.42 # Other redundant clauses eliminated : 67
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 19
% 0.24/1.42 # Generated clauses : 2667
% 0.24/1.42 # ...of the previous two non-trivial : 2574
% 0.24/1.42 # Contextual simplify-reflections : 38
% 0.24/1.42 # Paramodulations : 2584
% 0.24/1.42 # Factorizations : 6
% 0.24/1.42 # Equation resolutions : 77
% 0.24/1.42 # Current number of processed clauses : 275
% 0.24/1.42 # Positive orientable unit clauses : 23
% 0.24/1.42 # Positive unorientable unit clauses: 1
% 0.24/1.42 # Negative unit clauses : 10
% 0.24/1.42 # Non-unit-clauses : 241
% 0.24/1.42 # Current number of unprocessed clauses: 2417
% 0.24/1.42 # ...number of literals in the above : 15681
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 20
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 34119
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 2413
% 0.24/1.42 # Non-unit clause-clause subsumptions : 56
% 0.24/1.42 # Unit Clause-clause subsumption calls : 668
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 41
% 0.24/1.42 # BW rewrite match successes : 9
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 82883
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.153 s
% 0.24/1.42 # System time : 0.006 s
% 0.24/1.42 # Total time : 0.159 s
% 0.24/1.42 # Maximum resident set size: 7200 pages
% 0.24/23.44 eprover: CPU time limit exceeded, terminating
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------