TSTP Solution File: SET971+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET971+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 05:13:45 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 11 ( 7 equ; 4 neg)
% Maximal clause size : 2 ( 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; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
cartesian_product2(set_intersection2(X,Y),set_intersection2(Z,U)) = set_intersection2(cartesian_product2(X,Z),cartesian_product2(Y,U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t123_zfmisc_1) ).
cnf(6,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_zfmisc_1) ).
cnf(7,negated_conjecture,
subset('SKOLEMAAAV5','SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_zfmisc_1) ).
cnf(8,negated_conjecture,
set_intersection2(cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV6'),cartesian_product2('SKOLEMAAAV4','SKOLEMAAAV5')) != cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_zfmisc_1) ).
cnf(9,plain,
cartesian_product2(set_intersection2('SKOLEMAAAV3','SKOLEMAAAV4'),set_intersection2('SKOLEMAAAV6','SKOLEMAAAV5')) != cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[8,5,theory(equality)]) ).
cnf(10,axiom,
( ~ subset(X,Y)
| set_intersection2(X,Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
cnf(11,plain,
set_intersection2('SKOLEMAAAV6','SKOLEMAAAV5') = 'SKOLEMAAAV5',
inference('HYPERRESOLVE',[status(thm)],[10,7]) ).
cnf(12,plain,
cartesian_product2(set_intersection2('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[9,11,theory(equality)]) ).
cnf(13,plain,
set_intersection2('SKOLEMAAAV3','SKOLEMAAAV4') = 'SKOLEMAAAV3',
inference('HYPERRESOLVE',[status(thm)],[10,6]) ).
cnf(14,plain,
$false,
inference('REWRITE',[status(thm)],[12,13,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET971+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.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 08:31:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T08:31:46
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-10T08:31:46
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.48 ; Declaring set_intersection2 to be commutative.
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 20 formulas have been input or derived (from 8 formulas).
% 0.18/0.49 ; 14 (70%) were retained. Of these,
% 0.18/0.49 ; 3 (21%) were simplified or subsumed later,
% 0.18/0.49 ; 11 (79%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.002 8% Read assertion file (1 call)
% 0.18/0.49 ; 0.000 0% Assert (8 calls)
% 0.18/0.49 ; 0.001 4% Process new row (15 calls)
% 0.18/0.49 ; 0.000 0% Resolution (14 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (7 calls)
% 0.18/0.49 ; 0.000 0% Condensing (1 call)
% 0.18/0.49 ; 0.000 0% Forward subsumption (1 call)
% 0.18/0.49 ; 0.000 0% Backward subsumption (1 call)
% 0.18/0.49 ; 0.002 8% Forward simplification (15 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (13 calls)
% 0.18/0.49 ; 0.000 0% Ordering (9 calls)
% 0.18/0.49 ; 0.001 4% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.020 77% Other
% 0.18/0.49 ; 0.026 Total
% 0.18/0.49 ; 0.028 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 25 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.18/0.49 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.18/0.49 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.18/0.49 ; Path-index has 26 entries (29 at peak, 33 added, 7 deleted).
% 0.18/0.49 ; Path-index has 61 nodes (70 at peak, 83 added, 22 deleted).
% 0.18/0.49 ; Trie-index has 26 entries (29 at peak, 33 added, 7 deleted).
% 0.18/0.49 ; Trie-index has 64 nodes (76 at peak, 92 added, 28 deleted).
% 0.18/0.49 ; Retrieved 13 generalization terms in 18 calls.
% 0.18/0.49 ; Retrieved 11 instance terms in 11 calls.
% 0.18/0.49 ; Retrieved 21 unifiable terms in 31 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 4 entries:
% 0.18/0.49 ; 4 with value 8
% 0.18/0.49 ; The agenda of input rows to give has 1 entry:
% 0.18/0.49 ; 1 with value 18
% 0.18/0.49 ; The agenda of rows to give has 2 entries:
% 0.18/0.49 ; 2 with value (4 8)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.029 seconds of real time
% 0.18/0.49 0.022469 seconds of user run time
% 0.18/0.49 0.0063 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 1,936,080 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:31:46
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------