TSTP Solution File: SEU241+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 09:18:13 EDT 2022
% Result : Theorem 0.28s 1.45s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 127 ( 14 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 150 ( 56 ~; 64 |; 17 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 4 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l3_wellord1,conjecture,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X2),X1) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l3_wellord1) ).
fof(d4_relat_2,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_antisymmetric_in(X1,X2)
<=> ! [X3,X4] :
( ( in(X3,X2)
& in(X4,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X3),X1) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relat_2) ).
fof(d12_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> is_antisymmetric_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_relat_2) ).
fof(t30_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_field(X3))
& in(X2,relation_field(X3)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t30_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X2),X1) )
=> X2 = X3 ) ) ),
inference(assume_negation,[status(cth)],[l3_wellord1]) ).
fof(c_0_5,negated_conjecture,
! [X7,X8] :
( relation(esk1_0)
& ( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ antisymmetric(esk1_0) )
& ( in(ordered_pair(esk3_0,esk2_0),esk1_0)
| ~ antisymmetric(esk1_0) )
& ( esk2_0 != esk3_0
| ~ antisymmetric(esk1_0) )
& ( antisymmetric(esk1_0)
| ~ in(ordered_pair(X7,X8),esk1_0)
| ~ in(ordered_pair(X8,X7),esk1_0)
| X7 = X8 ) ),
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)],[c_0_4])])])])])])]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8,X6] :
( ( ~ is_antisymmetric_in(X5,X6)
| ~ in(X7,X6)
| ~ in(X8,X6)
| ~ in(ordered_pair(X7,X8),X5)
| ~ in(ordered_pair(X8,X7),X5)
| X7 = X8
| ~ relation(X5) )
& ( in(esk30_2(X5,X6),X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(esk31_2(X5,X6),X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk30_2(X5,X6),esk31_2(X5,X6)),X5)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk31_2(X5,X6),esk30_2(X5,X6)),X5)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( esk30_2(X5,X6) != esk31_2(X5,X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(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)],[d4_relat_2])])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( X1 = X2
| antisymmetric(esk1_0)
| ~ in(ordered_pair(X2,X1),esk1_0)
| ~ in(ordered_pair(X1,X2),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk30_2(X1,X2),esk31_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk31_2(esk1_0,X1) = esk30_2(esk1_0,X1)
| is_antisymmetric_in(esk1_0,X1)
| antisymmetric(esk1_0)
| ~ in(ordered_pair(esk31_2(esk1_0,X1),esk30_2(esk1_0,X1)),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_11,plain,
( is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk31_2(X1,X2),esk30_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X2] :
( ( ~ antisymmetric(X2)
| is_antisymmetric_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_antisymmetric_in(X2,relation_field(X2))
| antisymmetric(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_relat_2])])]) ).
cnf(c_0_13,plain,
( is_antisymmetric_in(X1,X2)
| ~ relation(X1)
| esk30_2(X1,X2) != esk31_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( esk31_2(esk1_0,X1) = esk30_2(esk1_0,X1)
| is_antisymmetric_in(esk1_0,X1)
| antisymmetric(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9])]) ).
cnf(c_0_15,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( is_antisymmetric_in(esk1_0,X1)
| antisymmetric(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_9])]) ).
cnf(c_0_17,negated_conjecture,
( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ antisymmetric(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
antisymmetric(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9])]) ).
cnf(c_0_19,negated_conjecture,
( in(ordered_pair(esk3_0,esk2_0),esk1_0)
| ~ antisymmetric(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( ~ antisymmetric(esk1_0)
| esk2_0 != esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_21,lemma,
! [X4,X5,X6] :
( ( in(X4,relation_field(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) )
& ( in(X5,relation_field(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_relat_1])])]) ).
cnf(c_0_22,plain,
( X2 = X3
| ~ relation(X1)
| ~ in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X1)
| ~ in(X3,X4)
| ~ in(X2,X4)
| ~ is_antisymmetric_in(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
in(ordered_pair(esk2_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_24,negated_conjecture,
in(ordered_pair(esk3_0,esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_18])]) ).
cnf(c_0_25,negated_conjecture,
esk3_0 != esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18])]) ).
cnf(c_0_26,lemma,
( in(X3,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,lemma,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( ~ is_antisymmetric_in(esk1_0,X1)
| ~ in(esk2_0,X1)
| ~ in(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_9]),c_0_24])]),c_0_25]) ).
cnf(c_0_29,plain,
( is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ antisymmetric(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,lemma,
in(esk2_0,relation_field(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_9])]) ).
cnf(c_0_31,lemma,
in(esk3_0,relation_field(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_9])]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_18]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 11:41:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.28/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.45 # Preprocessing time : 0.030 s
% 0.28/1.45
% 0.28/1.45 # Proof found!
% 0.28/1.45 # SZS status Theorem
% 0.28/1.45 # SZS output start CNFRefutation
% See solution above
% 0.28/1.45 # Proof object total steps : 33
% 0.28/1.45 # Proof object clause steps : 24
% 0.28/1.45 # Proof object formula steps : 9
% 0.28/1.45 # Proof object conjectures : 17
% 0.28/1.45 # Proof object clause conjectures : 14
% 0.28/1.45 # Proof object formula conjectures : 3
% 0.28/1.45 # Proof object initial clauses used : 13
% 0.28/1.45 # Proof object initial formulas used : 4
% 0.28/1.45 # Proof object generating inferences : 8
% 0.28/1.45 # Proof object simplifying inferences : 27
% 0.28/1.45 # Training examples: 0 positive, 0 negative
% 0.28/1.45 # Parsed axioms : 289
% 0.28/1.45 # Removed by relevancy pruning/SinE : 195
% 0.28/1.45 # Initial clauses : 171
% 0.28/1.45 # Removed in clause preprocessing : 3
% 0.28/1.45 # Initial clauses in saturation : 168
% 0.28/1.45 # Processed clauses : 2029
% 0.28/1.45 # ...of these trivial : 48
% 0.28/1.45 # ...subsumed : 1266
% 0.28/1.45 # ...remaining for further processing : 715
% 0.28/1.45 # Other redundant clauses eliminated : 79
% 0.28/1.45 # Clauses deleted for lack of memory : 0
% 0.28/1.45 # Backward-subsumed : 33
% 0.28/1.45 # Backward-rewritten : 79
% 0.28/1.45 # Generated clauses : 8381
% 0.28/1.45 # ...of the previous two non-trivial : 6870
% 0.28/1.45 # Contextual simplify-reflections : 541
% 0.28/1.45 # Paramodulations : 8229
% 0.28/1.45 # Factorizations : 10
% 0.28/1.45 # Equation resolutions : 138
% 0.28/1.45 # Current number of processed clauses : 596
% 0.28/1.45 # Positive orientable unit clauses : 92
% 0.28/1.45 # Positive unorientable unit clauses: 1
% 0.28/1.45 # Negative unit clauses : 47
% 0.28/1.45 # Non-unit-clauses : 456
% 0.28/1.45 # Current number of unprocessed clauses: 4736
% 0.28/1.45 # ...number of literals in the above : 16033
% 0.28/1.45 # Current number of archived formulas : 0
% 0.28/1.45 # Current number of archived clauses : 117
% 0.28/1.45 # Clause-clause subsumption calls (NU) : 110396
% 0.28/1.45 # Rec. Clause-clause subsumption calls : 89913
% 0.28/1.45 # Non-unit clause-clause subsumptions : 1327
% 0.28/1.45 # Unit Clause-clause subsumption calls : 6001
% 0.28/1.45 # Rewrite failures with RHS unbound : 0
% 0.28/1.45 # BW rewrite match attempts : 50
% 0.28/1.45 # BW rewrite match successes : 23
% 0.28/1.45 # Condensation attempts : 0
% 0.28/1.45 # Condensation successes : 0
% 0.28/1.45 # Termbank termtop insertions : 89480
% 0.28/1.45
% 0.28/1.45 # -------------------------------------------------
% 0.28/1.45 # User time : 0.227 s
% 0.28/1.45 # System time : 0.005 s
% 0.28/1.45 # Total time : 0.232 s
% 0.28/1.45 # Maximum resident set size: 8616 pages
% 0.28/23.44 eprover: CPU time limit exceeded, terminating
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: CPU time limit exceeded, terminating
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------