TSTP Solution File: SET921+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:13:25 EDT 2022
% Result : Theorem 0.37s 0.56s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 5 unt; 4 nHn; 14 RR)
% Number of literals : 34 ( 12 equ; 16 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 3 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,
( X != set_difference(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(7,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(8,axiom,
( X != set_difference(Y,Z)
| in(U,X)
| ~ in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(14,negated_conjecture,
( ~ in('SKOLEMAAAV5',set_difference('SKOLEMAAAV6',singleton('SKOLEMAAAV7')))
| ~ in('SKOLEMAAAV5','SKOLEMAAAV6')
| 'SKOLEMAAAV5' = 'SKOLEMAAAV7' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_zfmisc_1) ).
cnf(15,negated_conjecture,
( in('SKOLEMAAAV5',set_difference('SKOLEMAAAV6',singleton('SKOLEMAAAV7')))
| in('SKOLEMAAAV5','SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_zfmisc_1) ).
cnf(16,negated_conjecture,
( in('SKOLEMAAAV5',set_difference('SKOLEMAAAV6',singleton('SKOLEMAAAV7')))
| 'SKOLEMAAAV5' != 'SKOLEMAAAV7' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_zfmisc_1) ).
cnf(17,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(18,plain,
in('SKOLEMAAAV5','SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[6,15,theory(equality)]) ).
cnf(19,plain,
( ~ in('SKOLEMAAAV5',set_difference('SKOLEMAAAV6',singleton('SKOLEMAAAV7')))
| 'SKOLEMAAAV5' = 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[14,18]) ).
cnf(38,plain,
( in('SKOLEMAAAV5',set_difference('SKOLEMAAAV6',X))
| in('SKOLEMAAAV5',X) ),
inference('HYPERRESOLVE',[status(thm)],[8,18,theory(equality)]) ).
cnf(45,plain,
~ in(X,set_difference(Y,singleton(X))),
inference('UR-RESOLVE',[status(thm)],[7,17,theory(equality)]) ).
cnf(262,plain,
( in('SKOLEMAAAV5',singleton('SKOLEMAAAV7'))
| 'SKOLEMAAAV5' = 'SKOLEMAAAV7' ),
inference('HYPERRESOLVE',[status(thm)],[19,38]) ).
cnf(376,plain,
'SKOLEMAAAV5' = 'SKOLEMAAAV7',
inference('HYPERRESOLVE',[status(thm)],[2,262,theory(equality)]) ).
cnf(377,plain,
$false,
inference('REWRITE',[status(thm)],[16,45,376,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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 Jul 10 20:43:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:43:17
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T20:43:17
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56 #||
% 0.37/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.56 % SZS output start Refutation
% See solution above
% 0.37/0.56 ||#
% 0.37/0.56
% 0.37/0.56 ; Summary of computation:
% 0.37/0.56 ; 624 formulas have been input or derived (from 58 formulas).
% 0.37/0.56 ; 377 (60%) were retained. Of these,
% 0.37/0.56 ; 21 ( 6%) were simplified or subsumed later,
% 0.37/0.56 ; 356 (94%) are still being kept.
% 0.37/0.56 ;
% 0.37/0.56 ; Run time in seconds excluding printing time:
% 0.37/0.56 ; 0.002 2% Read assertion file (1 call)
% 0.37/0.56 ; 0.001 1% Assert (6 calls)
% 0.37/0.56 ; 0.025 27% Process new row (556 calls)
% 0.37/0.56 ; 0.016 17% Resolution (114 calls)
% 0.37/0.56 ; 0.002 2% Paramodulation (57 calls)
% 0.37/0.56 ; 0.000 0% Factoring (6 calls)
% 0.37/0.56 ; 0.000 0% Condensing (50 calls)
% 0.37/0.56 ; 0.005 5% Forward subsumption (50 calls)
% 0.37/0.56 ; 0.000 0% Backward subsumption (38 calls)
% 0.37/0.56 ; 0.000 0% Clause clause subsumption (73 calls)
% 0.37/0.56 ; 0.010 11% Forward simplification (556 calls)
% 0.37/0.56 ; 0.006 6% Backward simplification (377 calls)
% 0.37/0.56 ; 0.001 1% Ordering (424 calls)
% 0.37/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.56 ; 0.000 0% Purity testing (1 call)
% 0.37/0.56 ; 0.026 28% Other
% 0.37/0.56 ; 0.094 Total
% 0.37/0.56 ; 0.097 Real time
% 0.37/0.56 ;
% 0.37/0.56 ; Term-hash-array has 617 terms in all.
% 0.37/0.56 ; Feature-vector-row-index has 33 entries (36 at peak, 38 added, 5 deleted).
% 0.37/0.56 ; Feature-vector-row-index has 139 nodes (174 at peak, 201 added, 62 deleted).
% 0.37/0.56 ; Retrieved 57 possibly forward subsuming rows in 50 calls.
% 0.37/0.56 ; Retrieved 36 possibly backward subsumed rows in 38 calls.
% 0.37/0.56 ; Path-index has 591 entries (595 at peak, 622 added, 31 deleted).
% 0.37/0.56 ; Path-index has 811 nodes (815 at peak, 827 added, 16 deleted).
% 0.37/0.56 ; Trie-index has 591 entries (595 at peak, 622 added, 31 deleted).
% 0.37/0.56 ; Trie-index has 1,788 nodes (1,792 at peak, 1,866 added, 78 deleted).
% 0.37/0.56 ; Retrieved 587 generalization terms in 562 calls.
% 0.37/0.56 ; Retrieved 416 instance terms in 338 calls.
% 0.37/0.56 ; Retrieved 12,750 unifiable terms in 1,129 calls.
% 0.37/0.56 ;
% 0.37/0.56 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.37/0.56 ; 2 with value 0
% 0.37/0.56 ; The agenda of rows to process has 2 entries:
% 0.37/0.56 ; 1 with value 14 1 with value 21
% 0.37/0.56 ; The agenda of rows to give has 302 entries:
% 0.37/0.56 ; 1 with value (4 8) 29 with value (4 20) 12 with value (4 26)
% 0.37/0.56 ; 17 with value (4 14) 22 with value (4 21) 5 with value (4 29)
% 0.37/0.56 ; 27 with value (4 15) 29 with value (4 22) 2 with value (4 30)
% 0.37/0.56 ; 35 with value (4 16) 14 with value (4 23) 1 with value (4 32)
% 0.37/0.56 ; 33 with value (4 17) 5 with value (4 24) 1 with value (4 33)
% 0.37/0.56 ; 27 with value (4 18) 4 with value (4 25) 2 with value (4 34)
% 0.37/0.56 ; 36 with value (4 19)
% 0.37/0.56 Evaluation took:
% 0.37/0.56 0.097 seconds of real time
% 0.37/0.56 0.08451 seconds of user run time
% 0.37/0.56 0.011946 seconds of system run time
% 0.37/0.56 0 calls to %EVAL
% 0.37/0.56 0 page faults and
% 0.37/0.56 5,883,832 bytes consed.
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:43:17
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 *
%------------------------------------------------------------------------------