TSTP Solution File: SEU268+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU268+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:18:27 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 94 ( 20 equ)
% Maximal formula atoms : 33 ( 3 avg)
% Number of connectives : 115 ( 46 ~; 52 |; 10 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 38 ( 3 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_wellord2,axiom,
! [X1,X2] :
( relation(X2)
=> ( X2 = inclusion_relation(X1)
<=> ( relation_field(X2) = X1
& ! [X3,X4] :
( ( in(X3,X1)
& in(X4,X1) )
=> ( in(ordered_pair(X3,X4),X2)
<=> subset(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d1_wellord2) ).
fof(dt_k1_wellord2,axiom,
! [X1] : relation(inclusion_relation(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k1_wellord2) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity_r1_tarski) ).
fof(l1_wellord1,lemma,
! [X1] :
( relation(X1)
=> ( reflexive(X1)
<=> ! [X2] :
( in(X2,relation_field(X1))
=> in(ordered_pair(X2,X2),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',l1_wellord1) ).
fof(t2_wellord2,conjecture,
! [X1] : reflexive(inclusion_relation(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_wellord2) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8] :
( ( relation_field(X6) = X5
| X6 != inclusion_relation(X5)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X7,X8),X6)
| subset(X7,X8)
| ~ in(X7,X5)
| ~ in(X8,X5)
| X6 != inclusion_relation(X5)
| ~ relation(X6) )
& ( ~ subset(X7,X8)
| in(ordered_pair(X7,X8),X6)
| ~ in(X7,X5)
| ~ in(X8,X5)
| X6 != inclusion_relation(X5)
| ~ relation(X6) )
& ( in(esk3_2(X5,X6),X5)
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ relation(X6) )
& ( in(esk4_2(X5,X6),X5)
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ relation(X6) )
& ( ~ in(ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| ~ subset(esk3_2(X5,X6),esk4_2(X5,X6))
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ relation(X6) )
& ( in(ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| subset(esk3_2(X5,X6),esk4_2(X5,X6))
| relation_field(X6) != X5
| X6 = inclusion_relation(X5)
| ~ relation(X6) ) ),
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)],[d1_wellord2])])])])])])]) ).
fof(c_0_6,plain,
! [X2] : relation(inclusion_relation(X2)),
inference(variable_rename,[status(thm)],[dt_k1_wellord2]) ).
fof(c_0_7,plain,
! [X3] : subset(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_8,lemma,
! [X3,X4] :
( ( ~ reflexive(X3)
| ~ in(X4,relation_field(X3))
| in(ordered_pair(X4,X4),X3)
| ~ relation(X3) )
& ( in(esk2_1(X3),relation_field(X3))
| reflexive(X3)
| ~ relation(X3) )
& ( ~ in(ordered_pair(esk2_1(X3),esk2_1(X3)),X3)
| reflexive(X3)
| ~ relation(X3) ) ),
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)],[l1_wellord1])])])])])])]) ).
cnf(c_0_9,plain,
( relation_field(X1) = X2
| ~ relation(X1)
| X1 != inclusion_relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
relation(inclusion_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( in(ordered_pair(X4,X3),X1)
| ~ relation(X1)
| X1 != inclusion_relation(X2)
| ~ in(X3,X2)
| ~ in(X4,X2)
| ~ subset(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,lemma,
( reflexive(X1)
| in(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
relation_field(inclusion_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10])]) ).
cnf(c_0_15,plain,
( in(ordered_pair(X1,X1),X2)
| X2 != inclusion_relation(X3)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,lemma,
( reflexive(inclusion_relation(X1))
| in(esk2_1(inclusion_relation(X1)),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_10]),c_0_14]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] : reflexive(inclusion_relation(X1)),
inference(assume_negation,[status(cth)],[t2_wellord2]) ).
cnf(c_0_18,lemma,
( reflexive(inclusion_relation(X1))
| in(ordered_pair(esk2_1(inclusion_relation(X1)),esk2_1(inclusion_relation(X1))),X2)
| X2 != inclusion_relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_19,negated_conjecture,
~ reflexive(inclusion_relation(esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_20,lemma,
( reflexive(X1)
| ~ relation(X1)
| ~ in(ordered_pair(esk2_1(X1),esk2_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,lemma,
( reflexive(inclusion_relation(X1))
| in(ordered_pair(esk2_1(inclusion_relation(X1)),esk2_1(inclusion_relation(X1))),inclusion_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_10])]) ).
cnf(c_0_22,negated_conjecture,
~ reflexive(inclusion_relation(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,lemma,
reflexive(inclusion_relation(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_10])]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU268+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n008.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 10:10:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/1.42 # Preprocessing time : 0.024 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 25
% 0.23/1.42 # Proof object clause steps : 14
% 0.23/1.42 # Proof object formula steps : 11
% 0.23/1.42 # Proof object conjectures : 5
% 0.23/1.42 # Proof object clause conjectures : 2
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 7
% 0.23/1.42 # Proof object initial formulas used : 5
% 0.23/1.42 # Proof object generating inferences : 6
% 0.23/1.42 # Proof object simplifying inferences : 9
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 345
% 0.23/1.42 # Removed by relevancy pruning/SinE : 321
% 0.23/1.42 # Initial clauses : 52
% 0.23/1.42 # Removed in clause preprocessing : 2
% 0.23/1.42 # Initial clauses in saturation : 50
% 0.23/1.42 # Processed clauses : 517
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 138
% 0.23/1.42 # ...remaining for further processing : 379
% 0.23/1.42 # Other redundant clauses eliminated : 5
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 0
% 0.23/1.42 # Backward-rewritten : 125
% 0.23/1.42 # Generated clauses : 1917
% 0.23/1.42 # ...of the previous two non-trivial : 1862
% 0.23/1.42 # Contextual simplify-reflections : 31
% 0.23/1.42 # Paramodulations : 1874
% 0.23/1.42 # Factorizations : 6
% 0.23/1.42 # Equation resolutions : 37
% 0.23/1.42 # Current number of processed clauses : 252
% 0.23/1.42 # Positive orientable unit clauses : 23
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 1
% 0.23/1.42 # Non-unit-clauses : 228
% 0.23/1.42 # Current number of unprocessed clauses: 1194
% 0.23/1.42 # ...number of literals in the above : 3678
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 125
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 16297
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 8542
% 0.23/1.42 # Non-unit clause-clause subsumptions : 163
% 0.23/1.42 # Unit Clause-clause subsumption calls : 197
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 117
% 0.23/1.42 # BW rewrite match successes : 34
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 56403
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.105 s
% 0.23/1.42 # System time : 0.003 s
% 0.23/1.42 # Total time : 0.108 s
% 0.23/1.42 # Maximum resident set size: 5524 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: eprover: No such file or directory
% 0.23/23.45 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------