TSTP Solution File: SET887+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET887+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %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 05:13:09 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 15 RR)
% Number of literals : 25 ( 19 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(5,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(10,axiom,
( ~ subset(X,unordered_pair(Y,Z))
| X = empty_set
| X = singleton(Y)
| X = singleton(Z)
| X = unordered_pair(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(17,axiom,
( unordered_pair(X,Y) != unordered_pair(Z,U)
| X = Z
| X = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_zfmisc_1) ).
cnf(18,negated_conjecture,
subset(unordered_pair('SKOLEMAAAV5','SKOLEMAAAV6'),unordered_pair('SKOLEMAAAV7','SKOLEMAAAV8')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_zfmisc_1) ).
cnf(19,negated_conjecture,
'SKOLEMAAAV5' != 'SKOLEMAAAV7',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_zfmisc_1) ).
cnf(20,negated_conjecture,
'SKOLEMAAAV5' != 'SKOLEMAAAV8',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_zfmisc_1) ).
cnf(21,axiom,
( singleton(X) != unordered_pair(Y,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
cnf(22,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(25,plain,
singleton('SKOLEMAAAV8') != unordered_pair('SKOLEMAAAV5',X),
inference('UR-RESOLVE',[status(thm)],[21,20]) ).
cnf(27,plain,
singleton('SKOLEMAAAV7') != unordered_pair('SKOLEMAAAV5',X),
inference('UR-RESOLVE',[status(thm)],[21,19]) ).
cnf(30,plain,
unordered_pair('SKOLEMAAAV5',X) != unordered_pair('SKOLEMAAAV7','SKOLEMAAAV8'),
inference('UR-RESOLVE',[status(thm)],[17,20,19]) ).
cnf(41,plain,
unordered_pair('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,18]),30,25,27]) ).
cnf(48,plain,
unordered_pair(X,Y) != empty_set,
inference('UR-RESOLVE',[status(thm)],[5,22,theory(equality)]) ).
cnf(49,plain,
$false,
inference('REWRITE',[status(thm)],[41,48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET887+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 16:48:13 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:48:13
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T16:48:13
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.51 ; Declaring unordered_pair to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 90 formulas have been input or derived (from 24 formulas).
% 0.19/0.51 ; 49 (54%) were retained. Of these,
% 0.19/0.51 ; 6 (12%) were simplified or subsumed later,
% 0.19/0.51 ; 43 (88%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 8% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (12 calls)
% 0.19/0.51 ; 0.006 15% Process new row (79 calls)
% 0.19/0.51 ; 0.001 3% Resolution (46 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (23 calls)
% 0.19/0.52 ; 0.000 0% Factoring (3 calls)
% 0.19/0.52 ; 0.004 10% Condensing (22 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (22 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (20 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.19/0.52 ; 0.001 3% Forward simplification (79 calls)
% 0.19/0.52 ; 0.001 3% Backward simplification (49 calls)
% 0.19/0.52 ; 0.000 0% Ordering (65 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.022 56% Other
% 0.19/0.52 ; 0.039 Total
% 0.19/0.52 ; 0.041 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 93 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 17 entries (20 at peak, 20 added, 3 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 62 nodes (80 at peak, 80 added, 18 deleted).
% 0.19/0.52 ; Retrieved 3 possibly forward subsuming rows in 22 calls.
% 0.19/0.52 ; Retrieved 4 possibly backward subsumed rows in 20 calls.
% 0.19/0.52 ; Path-index has 84 entries (99 at peak, 100 added, 16 deleted).
% 0.19/0.52 ; Path-index has 94 nodes (103 at peak, 107 added, 13 deleted).
% 0.19/0.52 ; Trie-index has 84 entries (99 at peak, 100 added, 16 deleted).
% 0.19/0.52 ; Trie-index has 152 nodes (179 at peak, 185 added, 33 deleted).
% 0.19/0.52 ; Retrieved 21 generalization terms in 74 calls.
% 0.19/0.52 ; Retrieved 40 instance terms in 28 calls.
% 0.19/0.52 ; Retrieved 1,006 unifiable terms in 157 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.19/0.52 ; 3 with value 0
% 0.19/0.52 ; The agenda of rows to process has 2 entries:
% 0.19/0.52 ; 1 with value 17 1 with value 25
% 0.19/0.52 ; The agenda of rows to give has 20 entries:
% 0.19/0.52 ; 7 with value (4 8) 5 with value (4 10) 1 with value (4 54)
% 0.19/0.52 ; 6 with value (4 9) 1 with value (4 43)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.041 seconds of real time
% 0.19/0.52 0.035998 seconds of user run time
% 0.19/0.52 0.005267 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 2,693,472 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:48:13
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------