TSTP Solution File: SET985+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:13:50 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 6 unt; 8 nHn; 13 RR)
% Number of literals : 26 ( 14 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(5,axiom,
( cartesian_product2(X,Y) != empty_set
| X = empty_set
| Y = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
cnf(8,axiom,
( ~ subset(cartesian_product2(X,Y),cartesian_product2(Z,U))
| cartesian_product2(X,Y) = empty_set
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).
cnf(9,axiom,
( ~ subset(cartesian_product2(X,Y),cartesian_product2(Z,U))
| cartesian_product2(X,Y) = empty_set
| subset(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).
cnf(10,negated_conjecture,
~ empty('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t139_zfmisc_1) ).
cnf(11,negated_conjecture,
( subset(cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
| subset(cartesian_product2('SKOLEMAAAV4','SKOLEMAAAV3'),cartesian_product2('SKOLEMAAAV6','SKOLEMAAAV5')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t139_zfmisc_1) ).
cnf(12,negated_conjecture,
~ subset('SKOLEMAAAV4','SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t139_zfmisc_1) ).
cnf(13,axiom,
subset(empty_set,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(17,plain,
( subset(cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
| cartesian_product2('SKOLEMAAAV4','SKOLEMAAAV3') = empty_set ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,11]),12]) ).
cnf(22,plain,
( cartesian_product2('SKOLEMAAAV4','SKOLEMAAAV3') = empty_set
| cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV4') = empty_set ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,17]),12]) ).
cnf(23,plain,
( cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV4') = empty_set
| 'SKOLEMAAAV4' = empty_set
| 'SKOLEMAAAV3' = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[5,22]) ).
cnf(29,plain,
( 'SKOLEMAAAV4' = empty_set
| 'SKOLEMAAAV3' = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[5,23]) ).
cnf(30,plain,
'SKOLEMAAAV3' = empty_set,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,29,theory(equality)]),13]) ).
cnf(31,plain,
$false,
inference('REWRITE',[status(thm)],[10,1,30,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n012.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 : Mon Jul 11 06:23:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:23:13
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T06:23:13
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 104 formulas have been input or derived (from 21 formulas).
% 0.20/0.51 ; 31 (30%) were retained. Of these,
% 0.20/0.51 ; 14 (45%) were simplified or subsumed later,
% 0.20/0.51 ; 17 (55%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (8 calls)
% 0.20/0.51 ; 0.003 8% Process new row (84 calls)
% 0.20/0.51 ; 0.000 0% Resolution (40 calls)
% 0.20/0.51 ; 0.002 5% Paramodulation (20 calls)
% 0.20/0.51 ; 0.001 3% Factoring (6 calls)
% 0.20/0.51 ; 0.001 3% Condensing (31 calls)
% 0.20/0.51 ; 0.001 3% Forward subsumption (31 calls)
% 0.20/0.51 ; 0.001 3% Backward subsumption (20 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (44 calls)
% 0.20/0.51 ; 0.003 8% Forward simplification (73 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (31 calls)
% 0.20/0.51 ; 0.000 0% Ordering (132 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 59% Other
% 0.20/0.51 ; 0.037 Total
% 0.20/0.51 ; 0.038 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 41 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 7 entries (17 at peak, 20 added, 13 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 21 nodes (87 at peak, 113 added, 92 deleted).
% 0.20/0.51 ; Retrieved 31 possibly forward subsuming rows in 31 calls.
% 0.20/0.51 ; Retrieved 16 possibly backward subsumed rows in 20 calls.
% 0.20/0.51 ; Path-index has 27 entries (46 at peak, 51 added, 24 deleted).
% 0.20/0.51 ; Path-index has 60 nodes (99 at peak, 105 added, 45 deleted).
% 0.20/0.51 ; Trie-index has 27 entries (46 at peak, 51 added, 24 deleted).
% 0.20/0.51 ; Trie-index has 45 nodes (101 at peak, 111 added, 66 deleted).
% 0.20/0.51 ; Retrieved 78 generalization terms in 164 calls.
% 0.20/0.51 ; Retrieved 10 instance terms in 10 calls.
% 0.20/0.51 ; Retrieved 203 unifiable terms in 121 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of backward simplifiable rows to process has 9 entries:
% 0.20/0.51 ; 9 with value 0
% 0.20/0.51 ; The agenda of rows to process has 6 entries:
% 0.20/0.51 ; 2 with value 16 2 with value 25 1 with value 27
% 0.20/0.51 ; 1 with value 23
% 0.20/0.51 ; The agenda of rows to give has 3 entries:
% 0.20/0.51 ; 1 with value (4 9) 2 with value (4 20)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.039 seconds of real time
% 0.20/0.51 0.034001 seconds of user run time
% 0.20/0.51 0.004881 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,681,472 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:23:13
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------