TSTP Solution File: SET879+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 05:13:06 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 4 unt; 2 nHn; 8 RR)
% Number of literals : 20 ( 14 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(3,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(6,axiom,
( set_difference(singleton(X),Y) != singleton(X)
| ~ in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1) ).
cnf(7,axiom,
( set_difference(singleton(X),Y) = singleton(X)
| in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1) ).
cnf(10,negated_conjecture,
( set_difference(singleton('SKOLEMAAAV4'),singleton('SKOLEMAAAV5')) != singleton('SKOLEMAAAV4')
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_zfmisc_1) ).
cnf(11,negated_conjecture,
( set_difference(singleton('SKOLEMAAAV4'),singleton('SKOLEMAAAV5')) = singleton('SKOLEMAAAV4')
| 'SKOLEMAAAV4' != 'SKOLEMAAAV5' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_zfmisc_1) ).
cnf(12,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(13,plain,
( set_difference(singleton(X),singleton(Y)) = singleton(X)
| X = Y ),
inference('HYPERRESOLVE',[status(thm)],[2,7,theory(equality)]) ).
cnf(18,plain,
set_difference(singleton(X),singleton(X)) != singleton(X),
inference('UR-RESOLVE',[status(thm)],[6,12]) ).
cnf(32,plain,
'SKOLEMAAAV4' = 'SKOLEMAAAV5',
inference('HYPERRESOLVE',[status(thm)],[10,13]) ).
cnf(33,plain,
$false,
inference('REWRITE',[status(thm)],[11,18,32,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 17:48:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:48:41
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T17:48:41
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 120 formulas have been input or derived (from 23 formulas).
% 0.20/0.52 ; 33 (28%) were retained. Of these,
% 0.20/0.52 ; 2 ( 6%) were simplified or subsumed later,
% 0.20/0.52 ; 31 (94%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds:
% 0.20/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (6 calls)
% 0.20/0.52 ; 0.004 11% Process new row (81 calls)
% 0.20/0.52 ; 0.003 8% Resolution (44 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (22 calls)
% 0.20/0.52 ; 0.000 0% Factoring (3 calls)
% 0.20/0.52 ; 0.001 3% Condensing (15 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (15 calls)
% 0.20/0.52 ; 0.001 3% Backward subsumption (13 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.20/0.52 ; 0.001 3% Forward simplification (81 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (33 calls)
% 0.20/0.52 ; 0.001 3% Ordering (112 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 62% Other
% 0.20/0.52 ; 0.037 Total
% 0.20/0.52 ; 0.038 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 55 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 11 entries (13 at peak, 13 added, 2 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 49 nodes (75 at peak, 75 added, 26 deleted).
% 0.20/0.52 ; Retrieved 4 possibly forward subsuming rows in 15 calls.
% 0.20/0.52 ; Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.20/0.52 ; Path-index has 55 entries (59 at peak, 59 added, 4 deleted).
% 0.20/0.52 ; Path-index has 134 nodes (141 at peak, 141 added, 7 deleted).
% 0.20/0.52 ; Trie-index has 55 entries (59 at peak, 59 added, 4 deleted).
% 0.20/0.52 ; Trie-index has 159 nodes (169 at peak, 169 added, 10 deleted).
% 0.20/0.52 ; Retrieved 183 generalization terms in 128 calls.
% 0.20/0.52 ; Retrieved 31 instance terms in 19 calls.
% 0.20/0.52 ; Retrieved 1,216 unifiable terms in 212 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 28 entries:
% 0.20/0.52 ; 1 with value 6 2 with value 18 1 with value 27
% 0.20/0.52 ; 1 with value 7 3 with value 19 2 with value 28
% 0.20/0.52 ; 2 with value 13 1 with value 21 1 with value 29
% 0.20/0.52 ; 1 with value 14 2 with value 22 3 with value 33
% 0.20/0.52 ; 1 with value 16 1 with value 24 1 with value 43
% 0.20/0.52 ; 3 with value 17 2 with value 25
% 0.20/0.52 ; The agenda of rows to give has 10 entries:
% 0.20/0.52 ; 1 with value (4 6) 1 with value (4 18) 1 with value (4 21)
% 0.20/0.52 ; 1 with value (4 16) 1 with value (4 19) 3 with value (4 26)
% 0.20/0.52 ; 1 with value (4 17) 1 with value (4 20)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.038 seconds of real time
% 0.20/0.52 0.032177 seconds of user run time
% 0.20/0.52 0.00577 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,378,168 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:48:41
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------