TSTP Solution File: SET968+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 05:13:44 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 4 ( 3 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 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(6,axiom,
cartesian_product2(set_union2(X,Y),Z) = set_union2(cartesian_product2(X,Z),cartesian_product2(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t120_zfmisc_1) ).
cnf(8,axiom,
cartesian_product2(X,set_union2(Y,Z)) = set_union2(cartesian_product2(X,Y),cartesian_product2(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t120_zfmisc_1) ).
cnf(10,negated_conjecture,
cartesian_product2(set_union2('SKOLEMAAAV3','SKOLEMAAAV4'),set_union2('SKOLEMAAAV5','SKOLEMAAAV6')) != set_union2(cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV5'),set_union2(cartesian_product2('SKOLEMAAAV3','SKOLEMAAAV6'),set_union2(cartesian_product2('SKOLEMAAAV4','SKOLEMAAAV5'),cartesian_product2('SKOLEMAAAV4','SKOLEMAAAV6')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t121_zfmisc_1) ).
cnf(11,plain,
$false,
inference('REWRITE',[status(thm)],[10,6,8,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Mon Jul 11 02:40:45 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:40:45
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-11T02:40:45
% 0.20/0.50
% 0.20/0.51 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.51 ; Recognized associativity assertion (= (|set_union2| (|set_union2| ?X ?Y) ?Z) (|set_union2| ?X (|set_union2| ?Y ?Z))).
% 0.20/0.51 ; Declaring set_union2 to be commutative.
% 0.20/0.52 ; Declaring set_union2 to be associative-commutative.
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 14 formulas have been input or derived (from 1 formulas).
% 0.20/0.52 ; 11 (79%) were retained. Of these,
% 0.20/0.52 ; 1 ( 9%) were simplified or subsumed later,
% 0.20/0.52 ; 10 (91%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 7% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 4% Assert (9 calls)
% 0.20/0.52 ; 0.001 4% Process new row (12 calls)
% 0.20/0.52 ; 0.000 0% Embedding (3 calls)
% 0.20/0.52 ; 0.000 0% Condensing (2 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (2 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (1 call)
% 0.20/0.52 ; 0.000 0% Forward simplification (9 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (7 calls)
% 0.20/0.52 ; 0.000 0% Ordering (6 calls)
% 0.20/0.52 ; 0.000 0% Ordering ac (4 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 85% Other
% 0.20/0.52 ; 0.027 Total
% 0.20/0.52 ; 0.029 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 28 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.52 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.20/0.52 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.52 ; Path-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.20/0.52 ; Path-index has 55 nodes (55 at peak, 55 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 30 nodes (30 at peak, 30 added, 0 deleted).
% 0.20/0.52 ; Retrieved 25 generalization terms in 13 calls.
% 0.20/0.52 ; Retrieved 9 instance terms in 5 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of input rows to process has 1 entry:
% 0.20/0.52 ; 1 with value 0
% 0.20/0.52 ; The agenda of input rows to give has 9 entries:
% 0.20/0.52 ; 2 with value 3 1 with value 9 4 with value 16
% 0.20/0.52 ; 2 with value 7
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.029 seconds of real time
% 0.20/0.52 0.021922 seconds of user run time
% 0.20/0.52 0.007192 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 1,612,744 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:40:45
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------