TSTP Solution File: SET873+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 05:13:03 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 4 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,axiom,
( ~ subset(set_union2(singleton(X),Y),Y)
| in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_zfmisc_1) ).
cnf(11,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(12,negated_conjecture,
set_union2(singleton('SKOLEMAAAU4'),singleton('SKOLEMAAAU5')) = singleton('SKOLEMAAAU4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_zfmisc_1) ).
cnf(13,negated_conjecture,
'SKOLEMAAAU4' != 'SKOLEMAAAU5',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_zfmisc_1) ).
cnf(17,plain,
in('SKOLEMAAAU5',singleton('SKOLEMAAAU4')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,12,theory(equality)]),11]) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,13,theory(equality)]),17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 : Sat Jul 9 20:16:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-07-09T20:16:31
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-09T20:16:31
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.50 ; Declaring set_union2 to be commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 30 formulas have been input or derived (from 11 formulas).
% 0.19/0.50 ; 21 (70%) were retained. Of these,
% 0.19/0.50 ; 1 ( 5%) were simplified or subsumed later,
% 0.19/0.50 ; 20 (95%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 11% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (11 calls)
% 0.19/0.50 ; 0.002 7% Process new row (27 calls)
% 0.19/0.50 ; 0.000 0% Resolution (20 calls)
% 0.19/0.50 ; 0.001 4% Paramodulation (10 calls)
% 0.19/0.50 ; 0.000 0% Condensing (10 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (10 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (9 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (1 call)
% 0.19/0.50 ; 0.000 0% Forward simplification (27 calls)
% 0.19/0.50 ; 0.001 4% Backward simplification (21 calls)
% 0.19/0.50 ; 0.000 0% Ordering (18 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 75% Other
% 0.19/0.50 ; 0.028 Total
% 0.19/0.50 ; 0.029 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 33 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 8 entries (9 at peak, 9 added, 1 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 34 nodes (46 at peak, 46 added, 12 deleted).
% 0.19/0.50 ; Retrieved 1 possibly forward subsuming row in 10 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.19/0.50 ; Path-index has 37 entries (37 at peak, 38 added, 1 deleted).
% 0.19/0.50 ; Path-index has 77 nodes (77 at peak, 79 added, 2 deleted).
% 0.19/0.50 ; Trie-index has 37 entries (37 at peak, 38 added, 1 deleted).
% 0.19/0.50 ; Trie-index has 83 nodes (83 at peak, 87 added, 4 deleted).
% 0.19/0.50 ; Retrieved 9 generalization terms in 14 calls.
% 0.19/0.50 ; Retrieved 15 instance terms in 11 calls.
% 0.19/0.50 ; Retrieved 120 unifiable terms in 54 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 3 entries:
% 0.19/0.50 ; 3 with value 11
% 0.19/0.50 ; The agenda of input rows to give has 3 entries:
% 0.19/0.50 ; 1 with value 14 2 with value 20
% 0.19/0.50 ; The agenda of rows to give has 6 entries:
% 0.19/0.50 ; 4 with value (4 7) 1 with value (4 8) 1 with value (4 11)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.029 seconds of real time
% 0.19/0.50 0.024951 seconds of user run time
% 0.19/0.50 0.004989 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 1,760,288 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T20:16:31
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------