TSTP Solution File: SET882+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:13:07 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 14 ( 7 equ; 8 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(3,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,axiom,
( set_difference(unordered_pair(X,Y),Z) = singleton(X)
| in(X,Z)
| ~ in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(12,negated_conjecture,
'SKOLEMAAAW4' != 'SKOLEMAAAW5',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_zfmisc_1) ).
cnf(13,negated_conjecture,
set_difference(unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5'),singleton('SKOLEMAAAW5')) != singleton('SKOLEMAAAW4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_zfmisc_1) ).
cnf(14,plain,
~ in('SKOLEMAAAW4',singleton('SKOLEMAAAW5')),
inference('UR-RESOLVE',[status(thm)],[2,12,theory(equality)]) ).
cnf(18,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,14,13]),18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 08:48:37 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-11T08:48:37
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-11T08:48:37
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.51 ; Declaring unordered_pair to be commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/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 ; 29 formulas have been input or derived (from 15 formulas).
% 0.20/0.51 ; 22 (76%) were retained. Of these,
% 0.20/0.51 ; 22 (100%) 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 7% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (7 calls)
% 0.20/0.51 ; 0.003 10% Process new row (24 calls)
% 0.20/0.51 ; 0.002 7% Resolution (28 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (14 calls)
% 0.20/0.51 ; 0.000 0% Factoring (1 call)
% 0.20/0.51 ; 0.000 0% Condensing (12 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (12 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (12 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (24 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (22 calls)
% 0.20/0.51 ; 0.000 0% Ordering (27 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 73% Other
% 0.20/0.51 ; 0.030 Total
% 0.20/0.51 ; 0.032 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 42 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 56 nodes (56 at peak, 56 added, 0 deleted).
% 0.20/0.51 ; Retrieved 2 possibly forward subsuming rows in 12 calls.
% 0.20/0.51 ; Retrieved 2 possibly backward subsumed rows in 12 calls.
% 0.20/0.51 ; Path-index has 46 entries (46 at peak, 46 added, 0 deleted).
% 0.20/0.51 ; Path-index has 118 nodes (118 at peak, 118 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 46 entries (46 at peak, 46 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 118 nodes (118 at peak, 118 added, 0 deleted).
% 0.20/0.51 ; Retrieved 2 generalization terms in 17 calls.
% 0.20/0.51 ; Retrieved 13 instance terms in 9 calls.
% 0.20/0.51 ; Retrieved 374 unifiable terms in 95 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 3 entries:
% 0.20/0.51 ; 1 with value 9 2 with value 14
% 0.20/0.51 ; The agenda of rows to give has 7 entries:
% 0.20/0.51 ; 2 with value (4 7) 1 with value (4 15) 1 with value (4 26)
% 0.20/0.51 ; 1 with value (4 14) 1 with value (4 16) 1 with value (4 32)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.032 seconds of real time
% 0.20/0.51 0.026771 seconds of user run time
% 0.20/0.51 0.005756 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 1,887,376 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T08:48:37
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------