TSTP Solution File: SEU234+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU234+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 09:18:08 EDT 2022
% Result : Theorem 0.40s 29.59s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 103 ( 11 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 109 ( 38 ~; 43 |; 18 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 2 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t31_ordinal1,conjecture,
! [X1] :
( ! [X2] :
( in(X2,X1)
=> ( ordinal(X2)
& subset(X2,X1) ) )
=> ordinal(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t31_ordinal1) ).
fof(d2_ordinal1,axiom,
! [X1] :
( epsilon_transitive(X1)
<=> ! [X2] :
( in(X2,X1)
=> subset(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_ordinal1) ).
fof(cc2_ordinal1,axiom,
! [X1] :
( ( epsilon_transitive(X1)
& epsilon_connected(X1) )
=> ordinal(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc2_ordinal1) ).
fof(d3_ordinal1,axiom,
! [X1] :
( epsilon_connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,X1)
& in(X3,X1)
& ~ in(X2,X3)
& X2 != X3
& ~ in(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_ordinal1) ).
fof(t24_ordinal1,lemma,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t24_ordinal1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ! [X2] :
( in(X2,X1)
=> ( ordinal(X2)
& subset(X2,X1) ) )
=> ordinal(X1) ),
inference(assume_negation,[status(cth)],[t31_ordinal1]) ).
fof(c_0_6,plain,
! [X3,X4,X3] :
( ( ~ epsilon_transitive(X3)
| ~ in(X4,X3)
| subset(X4,X3) )
& ( in(esk10_1(X3),X3)
| epsilon_transitive(X3) )
& ( ~ subset(esk10_1(X3),X3)
| epsilon_transitive(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)],[d2_ordinal1])])])])])])]) ).
fof(c_0_7,negated_conjecture,
! [X4] :
( ( ordinal(X4)
| ~ in(X4,esk1_0) )
& ( subset(X4,esk1_0)
| ~ in(X4,esk1_0) )
& ~ ordinal(esk1_0) ),
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_5])])])])])])]) ).
fof(c_0_8,plain,
! [X2] :
( ~ epsilon_transitive(X2)
| ~ epsilon_connected(X2)
| ordinal(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_ordinal1])]) ).
cnf(c_0_9,plain,
( epsilon_transitive(X1)
| ~ subset(esk10_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( subset(X1,esk1_0)
| ~ in(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( epsilon_transitive(X1)
| in(esk10_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X4,X5,X6,X4] :
( ( ~ epsilon_connected(X4)
| ~ in(X5,X4)
| ~ in(X6,X4)
| in(X5,X6)
| X5 = X6
| in(X6,X5) )
& ( in(esk8_1(X4),X4)
| epsilon_connected(X4) )
& ( in(esk9_1(X4),X4)
| epsilon_connected(X4) )
& ( ~ in(esk8_1(X4),esk9_1(X4))
| epsilon_connected(X4) )
& ( esk8_1(X4) != esk9_1(X4)
| epsilon_connected(X4) )
& ( ~ in(esk9_1(X4),esk8_1(X4))
| epsilon_connected(X4) ) ),
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)],[inference(fof_simplification,[status(thm)],[d3_ordinal1])])])])])])])]) ).
cnf(c_0_13,plain,
( ordinal(X1)
| ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
epsilon_transitive(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ ordinal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,lemma,
! [X3,X4] :
( ~ ordinal(X3)
| ~ ordinal(X4)
| in(X3,X4)
| X3 = X4
| in(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t24_ordinal1])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( ordinal(X1)
| ~ in(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( epsilon_connected(X1)
| in(esk8_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
~ epsilon_connected(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_20,lemma,
( in(X1,X2)
| X2 = X1
| in(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
ordinal(esk8_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,plain,
( epsilon_connected(X1)
| in(esk9_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,lemma,
( X1 = esk8_1(esk1_0)
| in(esk8_1(esk1_0),X1)
| in(X1,esk8_1(esk1_0))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
ordinal(esk9_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_22]),c_0_19]) ).
cnf(c_0_25,plain,
( epsilon_connected(X1)
| ~ in(esk9_1(X1),esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
( esk9_1(esk1_0) = esk8_1(esk1_0)
| in(esk9_1(esk1_0),esk8_1(esk1_0))
| in(esk8_1(esk1_0),esk9_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( epsilon_connected(X1)
| ~ in(esk8_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
( esk9_1(esk1_0) = esk8_1(esk1_0)
| in(esk8_1(esk1_0),esk9_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19]) ).
cnf(c_0_29,plain,
( epsilon_connected(X1)
| esk8_1(X1) != esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
esk9_1(esk1_0) = esk8_1(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_19]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU234+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 20:14:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.43 eprover: CPU time limit exceeded, terminating
% 0.37/23.43 eprover: CPU time limit exceeded, terminating
% 0.37/23.44 eprover: CPU time limit exceeded, terminating
% 0.40/29.59 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.40/29.59
% 0.40/29.59 # Failure: Resource limit exceeded (time)
% 0.40/29.59 # OLD status Res
% 0.40/29.59 # Preprocessing time : 0.046 s
% 0.40/29.59 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.40/29.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.40/29.59 # Preprocessing time : 0.015 s
% 0.40/29.59
% 0.40/29.59 # Proof found!
% 0.40/29.59 # SZS status Theorem
% 0.40/29.59 # SZS output start CNFRefutation
% See solution above
% 0.40/29.59 # Proof object total steps : 32
% 0.40/29.59 # Proof object clause steps : 21
% 0.40/29.59 # Proof object formula steps : 11
% 0.40/29.59 # Proof object conjectures : 14
% 0.40/29.59 # Proof object clause conjectures : 11
% 0.40/29.59 # Proof object formula conjectures : 3
% 0.40/29.59 # Proof object initial clauses used : 12
% 0.40/29.59 # Proof object initial formulas used : 5
% 0.40/29.59 # Proof object generating inferences : 9
% 0.40/29.59 # Proof object simplifying inferences : 7
% 0.40/29.59 # Training examples: 0 positive, 0 negative
% 0.40/29.59 # Parsed axioms : 270
% 0.40/29.59 # Removed by relevancy pruning/SinE : 169
% 0.40/29.59 # Initial clauses : 211
% 0.40/29.59 # Removed in clause preprocessing : 4
% 0.40/29.59 # Initial clauses in saturation : 207
% 0.40/29.59 # Processed clauses : 14301
% 0.40/29.59 # ...of these trivial : 67
% 0.40/29.59 # ...subsumed : 8641
% 0.40/29.59 # ...remaining for further processing : 5593
% 0.40/29.59 # Other redundant clauses eliminated : 55
% 0.40/29.59 # Clauses deleted for lack of memory : 0
% 0.40/29.59 # Backward-subsumed : 213
% 0.40/29.59 # Backward-rewritten : 985
% 0.40/29.59 # Generated clauses : 170824
% 0.40/29.59 # ...of the previous two non-trivial : 161858
% 0.40/29.59 # Contextual simplify-reflections : 3904
% 0.40/29.59 # Paramodulations : 166669
% 0.40/29.59 # Factorizations : 16
% 0.40/29.59 # Equation resolutions : 388
% 0.40/29.59 # Current number of processed clauses : 4383
% 0.40/29.59 # Positive orientable unit clauses : 345
% 0.40/29.59 # Positive unorientable unit clauses: 1
% 0.40/29.59 # Negative unit clauses : 296
% 0.40/29.59 # Non-unit-clauses : 3741
% 0.40/29.59 # Current number of unprocessed clauses: 109642
% 0.40/29.59 # ...number of literals in the above : 639407
% 0.40/29.59 # Current number of archived formulas : 0
% 0.40/29.59 # Current number of archived clauses : 1207
% 0.40/29.59 # Clause-clause subsumption calls (NU) : 6801934
% 0.40/29.59 # Rec. Clause-clause subsumption calls : 2839220
% 0.40/29.59 # Non-unit clause-clause subsumptions : 10851
% 0.40/29.59 # Unit Clause-clause subsumption calls : 631991
% 0.40/29.59 # Rewrite failures with RHS unbound : 0
% 0.40/29.59 # BW rewrite match attempts : 408
% 0.40/29.59 # BW rewrite match successes : 293
% 0.40/29.59 # Condensation attempts : 0
% 0.40/29.59 # Condensation successes : 0
% 0.40/29.59 # Termbank termtop insertions : 2563103
% 0.40/29.59
% 0.40/29.59 # -------------------------------------------------
% 0.40/29.59 # User time : 5.319 s
% 0.40/29.59 # System time : 0.081 s
% 0.40/29.59 # Total time : 5.400 s
% 0.40/29.59 # Maximum resident set size: 122992 pages
% 0.40/46.44 eprover: CPU time limit exceeded, terminating
% 0.40/46.45 eprover: CPU time limit exceeded, terminating
% 0.40/46.45 eprover: CPU time limit exceeded, terminating
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.inCannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.51 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.pCannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.51
% 0.40/46.51 eprover: No such file or directory
% 0.40/46.51 eprover: No such file or directory
% 0.40/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.51 eprover: No such file or directory
% 0.40/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.51 eprover: No such file or directory
%------------------------------------------------------------------------------