TSTP Solution File: SET918+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET918+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 05:13:24 EDT 2022
% Result : Theorem 0.40s 0.57s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 7 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(7,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(12,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(19,negated_conjecture,
set_intersection2(unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV8') = singleton('SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_zfmisc_1) ).
cnf(20,negated_conjecture,
in('SKOLEMAAAV7','SKOLEMAAAV8'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_zfmisc_1) ).
cnf(21,negated_conjecture,
'SKOLEMAAAV6' != 'SKOLEMAAAV7',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_zfmisc_1) ).
cnf(25,plain,
~ in('SKOLEMAAAV7',singleton('SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[2,21,theory(equality)]) ).
cnf(27,plain,
in(X,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[7,theory(equality),theory(equality)]) ).
cnf(87,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,25,19,20]),27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET918+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n022.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 : Sun Jul 10 23:04:10 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 2022-07-10T23:04:10
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-10T23:04:10
% 0.21/0.49
% 0.21/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.49 ; Declaring unordered_pair to be commutative.
% 0.40/0.57 ; Declaring set_intersection2 to be commutative.
% 0.40/0.57
% 0.40/0.57 #||
% 0.40/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.57 % SZS output start Refutation
% See solution above
% 0.40/0.57 ||#
% 0.40/0.57
% 0.40/0.57 ; Summary of computation:
% 0.40/0.57 ; 381 formulas have been input or derived (from 27 formulas).
% 0.40/0.57 ; 87 (23%) were retained. Of these,
% 0.40/0.57 ; 87 (100%) are still being kept.
% 0.40/0.57 ;
% 0.40/0.57 ; Run time in seconds:
% 0.40/0.57 ; 0.003 3% Read assertion file (1 call)
% 0.40/0.57 ; 0.001 1% Assert (10 calls)
% 0.40/0.57 ; 0.007 8% Process new row (278 calls)
% 0.40/0.57 ; 0.016 18% Resolution (52 calls)
% 0.40/0.57 ; 0.001 1% Paramodulation (26 calls)
% 0.40/0.57 ; 0.001 1% Factoring (5 calls)
% 0.40/0.57 ; 0.004 5% Condensing (188 calls)
% 0.40/0.57 ; 0.008 9% Forward subsumption (188 calls)
% 0.40/0.57 ; 0.001 1% Backward subsumption (61 calls)
% 0.40/0.57 ; 0.004 5% Clause clause subsumption (335 calls)
% 0.40/0.57 ; 0.011 13% Forward simplification (278 calls)
% 0.40/0.57 ; 0.001 1% Backward simplification (87 calls)
% 0.40/0.57 ; 0.003 3% Ordering (682 calls)
% 0.40/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.57 ; 0.000 0% Purity testing (1 call)
% 0.40/0.57 ; 0.026 30% Other
% 0.40/0.57 ; 0.087 Total
% 0.40/0.57 ; 0.089 Real time
% 0.40/0.57 ;
% 0.40/0.57 ; Term-hash-array has 221 terms in all.
% 0.40/0.57 ; Feature-vector-row-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.40/0.57 ; Feature-vector-row-index has 254 nodes (254 at peak, 254 added, 0 deleted).
% 0.40/0.57 ; Retrieved 536 possibly forward subsuming rows in 188 calls.
% 0.40/0.57 ; Retrieved 64 possibly backward subsumed rows in 61 calls.
% 0.40/0.57 ; Path-index has 226 entries (226 at peak, 226 added, 0 deleted).
% 0.40/0.57 ; Path-index has 253 nodes (253 at peak, 253 added, 0 deleted).
% 0.40/0.57 ; Trie-index has 226 entries (226 at peak, 226 added, 0 deleted).
% 0.40/0.57 ; Trie-index has 495 nodes (495 at peak, 495 added, 0 deleted).
% 0.40/0.57 ; Retrieved 451 generalization terms in 1,029 calls.
% 0.40/0.57 ; Retrieved 28 instance terms in 25 calls.
% 0.40/0.57 ; Retrieved 7,247 unifiable terms in 424 calls.
% 0.40/0.57 ;
% 0.40/0.57 ; The agenda of rows to process has 7 entries:
% 0.40/0.57 ; 2 with value 10 1 with value 12 1 with value 17
% 0.40/0.57 ; 2 with value 11 1 with value 13
% 0.40/0.57 ; The agenda of rows to give has 60 entries:
% 0.40/0.57 ; 1 with value (4 7) 2 with value (4 16) 3 with value (4 31)
% 0.40/0.57 ; 5 with value (4 8) 1 with value (4 18) 5 with value (4 32)
% 0.40/0.57 ; 4 with value (4 9) 1 with value (4 21) 2 with value (4 33)
% 0.40/0.57 ; 3 with value (4 10) 1 with value (4 22) 3 with value (4 39)
% 0.40/0.57 ; 1 with value (4 11) 3 with value (4 26) 1 with value (4 41)
% 0.40/0.57 ; 1 with value (4 12) 1 with value (4 28) 4 with value (4 43)
% 0.40/0.57 ; 1 with value (4 13) 7 with value (4 29) 2 with value (4 44)
% 0.40/0.57 ; 1 with value (4 15) 6 with value (4 30) 1 with value (4 54)
% 0.40/0.57 Evaluation took:
% 0.40/0.57 0.089 seconds of real time
% 0.40/0.57 0.072027 seconds of user run time
% 0.40/0.57 0.016871 seconds of system run time
% 0.40/0.57 0 calls to %EVAL
% 0.40/0.57 0 page faults and
% 0.40/0.57 4,855,936 bytes consed.
% 0.40/0.57 :PROOF-FOUND
% 0.40/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:04:10
% 0.40/0.57 :PROOF-FOUND
% 0.40/0.57 *
%------------------------------------------------------------------------------