TSTP Solution File: SET108+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:07:27 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 4 unt; 0 nHn; 11 RR)
% Number of literals : 22 ( 13 equ; 12 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(92,negated_conjecture,
( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| 'SKOLEMAAAU8' != ordered_pair(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_first_and_second) ).
cnf(93,negated_conjecture,
( member('SKOLEMAAAU9',universal_class)
| X != 'SKOLEMAAAU8'
| Y != 'SKOLEMAAAU8' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_first_and_second) ).
cnf(94,plain,
( member('SKOLEMAAAU9',universal_class)
| X != 'SKOLEMAAAU8' ),
inference('CONDENSE',[status(thm)],[93]) ).
cnf(95,negated_conjecture,
( member('SKOLEMAAAU10',universal_class)
| X != 'SKOLEMAAAU8'
| Y != 'SKOLEMAAAU8' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_first_and_second) ).
cnf(96,plain,
( member('SKOLEMAAAU10',universal_class)
| X != 'SKOLEMAAAU8' ),
inference('CONDENSE',[status(thm)],[95]) ).
cnf(97,negated_conjecture,
( 'SKOLEMAAAU8' = ordered_pair('SKOLEMAAAU9','SKOLEMAAAU10')
| X != 'SKOLEMAAAU8'
| Y != 'SKOLEMAAAU8' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_first_and_second) ).
cnf(98,plain,
( 'SKOLEMAAAU8' = ordered_pair('SKOLEMAAAU9','SKOLEMAAAU10')
| X != 'SKOLEMAAAU8' ),
inference('CONDENSE',[status(thm)],[97]) ).
cnf(104,plain,
member('SKOLEMAAAU9',universal_class),
inference('HYPERRESOLVE',[status(thm)],[94,theory(equality)]) ).
cnf(105,plain,
member('SKOLEMAAAU10',universal_class),
inference('HYPERRESOLVE',[status(thm)],[96,theory(equality)]) ).
cnf(162,plain,
'SKOLEMAAAU8' = ordered_pair('SKOLEMAAAU9','SKOLEMAAAU10'),
inference('HYPERRESOLVE',[status(thm)],[98,theory(equality)]) ).
cnf(551,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[92,105,104]),162,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n026.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 : Mon Jul 11 09:54:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:54:57
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T09:54:57
% 0.48/0.64
% 0.48/0.64
% 0.48/0.64 #||
% 0.48/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 922 formulas have been input or derived (from 98 formulas).
% 0.48/0.64 ; 551 (60%) were retained. Of these,
% 0.48/0.64 ; 20 ( 4%) were simplified or subsumed later,
% 0.48/0.64 ; 531 (96%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds excluding printing time:
% 0.48/0.64 ; 0.011 7% Read assertion file (1 call)
% 0.48/0.64 ; 0.003 2% Assert (44 calls)
% 0.48/0.64 ; 0.042 26% Process new row (763 calls)
% 0.48/0.64 ; 0.024 15% Resolution (194 calls)
% 0.48/0.64 ; 0.003 2% Paramodulation (97 calls)
% 0.48/0.64 ; 0.001 1% Factoring (6 calls)
% 0.48/0.64 ; 0.005 3% Condensing (448 calls)
% 0.48/0.64 ; 0.016 10% Forward subsumption (448 calls)
% 0.48/0.64 ; 0.005 3% Backward subsumption (385 calls)
% 0.48/0.64 ; 0.002 1% Clause clause subsumption (819 calls)
% 0.48/0.64 ; 0.015 9% Forward simplification (763 calls)
% 0.48/0.64 ; 0.003 2% Backward simplification (545 calls)
% 0.48/0.64 ; 0.001 1% Ordering (800 calls)
% 0.48/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.64 ; 0.000 0% Purity testing (1 call)
% 0.48/0.64 ; 0.029 18% Other
% 0.48/0.64 ; 0.160 Total
% 0.48/0.64 ; 0.162 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 1,201 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 374 entries (374 at peak, 385 added, 11 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 1,405 nodes (1,405 at peak, 1,437 added, 32 deleted).
% 0.48/0.64 ; Retrieved 864 possibly forward subsuming rows in 448 calls.
% 0.48/0.64 ; Retrieved 318 possibly backward subsumed rows in 385 calls.
% 0.48/0.64 ; Path-index has 1,191 entries (1,191 at peak, 1,216 added, 25 deleted).
% 0.48/0.64 ; Path-index has 2,487 nodes (2,487 at peak, 2,513 added, 26 deleted).
% 0.48/0.64 ; Trie-index has 1,191 entries (1,191 at peak, 1,216 added, 25 deleted).
% 0.48/0.64 ; Trie-index has 3,527 nodes (3,527 at peak, 3,592 added, 65 deleted).
% 0.48/0.64 ; Retrieved 367 generalization terms in 1,890 calls.
% 0.48/0.64 ; Retrieved 175 instance terms in 159 calls.
% 0.48/0.64 ; Retrieved 26,687 unifiable terms in 1,145 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of rows to process has 98 entries:
% 0.48/0.64 ; 4 with value 9 10 with value 14 12 with value 18
% 0.48/0.64 ; 40 with value 11 4 with value 15 5 with value 20
% 0.48/0.64 ; 3 with value 12 6 with value 16 1 with value 33
% 0.48/0.64 ; 3 with value 13 8 with value 17 2 with value 34
% 0.48/0.64 ; The agenda of rows to give has 436 entries:
% 0.48/0.64 ; 5 with value (4 5) 33 with value (4 17) 2 with value (4 29)
% 0.48/0.64 ; 3 with value (4 6) 29 with value (4 18) 2 with value (4 30)
% 0.48/0.64 ; 9 with value (4 7) 24 with value (4 19) 1 with value (4 31)
% 0.48/0.64 ; 29 with value (4 8) 22 with value (4 20) 4 with value (4 32)
% 0.48/0.64 ; 27 with value (4 9) 18 with value (4 21) 3 with value (4 33)
% 0.48/0.64 ; 11 with value (4 10) 19 with value (4 22) 2 with value (4 34)
% 0.48/0.64 ; 25 with value (4 11) 17 with value (4 23) 1 with value (4 40)
% 0.48/0.64 ; 13 with value (4 12) 10 with value (4 24) 3 with value (4 41)
% 0.48/0.64 ; 32 with value (4 13) 10 with value (4 25) 2 with value (4 42)
% 0.48/0.64 ; 30 with value (4 14) 6 with value (4 26) 2 with value (4 44)
% 0.48/0.64 ; 15 with value (4 15) 4 with value (4 27) 4 with value (4 45)
% 0.48/0.64 ; 13 with value (4 16) 6 with value (4 28)
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.162 seconds of real time
% 0.48/0.64 0.142994 seconds of user run time
% 0.48/0.64 0.018992 seconds of system run time
% 0.48/0.64 0 calls to %EVAL
% 0.48/0.64 0 page faults and
% 0.48/0.64 10,213,336 bytes consed.
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:54:57
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 *
%------------------------------------------------------------------------------