TSTP Solution File: SEU250+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU250+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 09:18:18 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 57 ( 22 ~; 22 |; 7 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 4 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t19_wellord1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_field(relation_restriction(X3,X2)))
=> ( in(X1,relation_field(X3))
& in(X1,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t19_wellord1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d3_tarski) ).
fof(t20_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))
& subset(relation_field(relation_restriction(X2,X1)),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t20_wellord1) ).
fof(c_0_3,lemma,
! [X4,X5,X6] :
( ( in(X4,relation_field(X6))
| ~ in(X4,relation_field(relation_restriction(X6,X5)))
| ~ relation(X6) )
& ( in(X4,X5)
| ~ in(X4,relation_field(relation_restriction(X6,X5)))
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_wellord1])])]) ).
fof(c_0_4,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk44_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk44_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))
& subset(relation_field(relation_restriction(X2,X1)),X1) ) ),
inference(assume_negation,[status(cth)],[t20_wellord1]) ).
cnf(c_0_6,lemma,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(X2,relation_field(relation_restriction(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( subset(X1,X2)
| in(esk44_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( relation(esk105_0)
& ( ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0))
| ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| ~ in(esk44_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,lemma,
( subset(relation_field(relation_restriction(X1,X2)),X3)
| in(esk44_2(relation_field(relation_restriction(X1,X2)),X3),relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,lemma,
( in(X2,X3)
| ~ relation(X1)
| ~ in(X2,relation_field(relation_restriction(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0)
| ~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,lemma,
( subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
relation(esk105_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,lemma,
( subset(relation_field(relation_restriction(X1,X2)),X3)
| in(esk44_2(relation_field(relation_restriction(X1,X2)),X3),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,lemma,
( subset(relation_field(relation_restriction(X1,X2)),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_18,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU250+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n019.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 : Mon Jun 20 13:09:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.42 # Preprocessing time : 0.052 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 : 19
% 0.24/1.42 # Proof object clause steps : 12
% 0.24/1.42 # Proof object formula steps : 7
% 0.24/1.42 # Proof object conjectures : 6
% 0.24/1.42 # Proof object clause conjectures : 3
% 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 : 6
% 0.24/1.42 # Proof object simplifying inferences : 4
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 308
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 659
% 0.24/1.42 # Removed in clause preprocessing : 30
% 0.24/1.42 # Initial clauses in saturation : 629
% 0.24/1.42 # Processed clauses : 4899
% 0.24/1.42 # ...of these trivial : 65
% 0.24/1.42 # ...subsumed : 2791
% 0.24/1.42 # ...remaining for further processing : 2043
% 0.24/1.42 # Other redundant clauses eliminated : 129
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 52
% 0.24/1.42 # Backward-rewritten : 116
% 0.24/1.42 # Generated clauses : 48736
% 0.24/1.42 # ...of the previous two non-trivial : 46566
% 0.24/1.42 # Contextual simplify-reflections : 899
% 0.24/1.42 # Paramodulations : 48528
% 0.24/1.42 # Factorizations : 18
% 0.24/1.42 # Equation resolutions : 190
% 0.24/1.42 # Current number of processed clauses : 1865
% 0.24/1.42 # Positive orientable unit clauses : 118
% 0.24/1.42 # Positive unorientable unit clauses: 3
% 0.24/1.42 # Negative unit clauses : 308
% 0.24/1.42 # Non-unit-clauses : 1436
% 0.24/1.42 # Current number of unprocessed clauses: 39802
% 0.24/1.42 # ...number of literals in the above : 180378
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 173
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 1000468
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 592894
% 0.24/1.42 # Non-unit clause-clause subsumptions : 2263
% 0.24/1.42 # Unit Clause-clause subsumption calls : 60181
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 128
% 0.24/1.42 # BW rewrite match successes : 99
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 795076
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.899 s
% 0.24/1.42 # System time : 0.024 s
% 0.24/1.42 # Total time : 0.923 s
% 0.24/1.42 # Maximum resident set size: 48264 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------