TSTP Solution File: SET979+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET979+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:13:48 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
cartesian_product2(set_union2(X,Y),Z) = set_union2(cartesian_product2(X,Z),cartesian_product2(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t120_zfmisc_1) ).
cnf(6,axiom,
cartesian_product2(X,set_union2(Y,Z)) = set_union2(cartesian_product2(X,Y),cartesian_product2(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t120_zfmisc_1) ).
cnf(7,negated_conjecture,
( cartesian_product2(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != set_union2(cartesian_product2(singleton('SKOLEMAAAV3'),'SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV4'),'SKOLEMAAAV5'))
| cartesian_product2('SKOLEMAAAV5',unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4')) != set_union2(cartesian_product2('SKOLEMAAAV5',singleton('SKOLEMAAAV3')),cartesian_product2('SKOLEMAAAV5',singleton('SKOLEMAAAV4'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t132_zfmisc_1) ).
cnf(8,plain,
( cartesian_product2(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != cartesian_product2(set_union2(singleton('SKOLEMAAAV3'),singleton('SKOLEMAAAV4')),'SKOLEMAAAV5')
| cartesian_product2('SKOLEMAAAV5',unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4')) != cartesian_product2('SKOLEMAAAV5',set_union2(singleton('SKOLEMAAAV3'),singleton('SKOLEMAAAV4'))) ),
inference('REWRITE',[status(thm)],[7,6,5,theory(equality)]) ).
cnf(9,axiom,
unordered_pair(X,Y) = set_union2(singleton(X),singleton(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_enumset1) ).
cnf(10,plain,
$false,
inference('REWRITE',[status(thm)],[8,9,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET979+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n009.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 21:07:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:07:07
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-09T21:07:07
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.49 ; Declaring unordered_pair to be commutative.
% 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 ; 13 formulas have been input or derived (from 1 formulas).
% 0.19/0.50 ; 10 (77%) were retained. Of these,
% 0.19/0.50 ; 2 (20%) were simplified or subsumed later,
% 0.19/0.50 ; 8 (80%) 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 12% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (10 calls)
% 0.19/0.50 ; 0.002 8% Process new row (12 calls)
% 0.19/0.50 ; 0.000 0% Condensing (3 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (2 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (1 call)
% 0.19/0.50 ; 0.000 0% Forward simplification (12 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (9 calls)
% 0.19/0.50 ; 0.000 0% Ordering (4 calls)
% 0.19/0.50 ; 0.001 4% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.020 77% Other
% 0.19/0.50 ; 0.026 Total
% 0.19/0.50 ; 0.029 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 32 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 1 entry (2 at peak, 2 added, 1 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 4 nodes (26 at peak, 26 added, 22 deleted).
% 0.19/0.50 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.19/0.50 ; Path-index has 27 entries (37 at peak, 40 added, 13 deleted).
% 0.19/0.50 ; Path-index has 64 nodes (90 at peak, 93 added, 29 deleted).
% 0.19/0.50 ; Trie-index has 27 entries (37 at peak, 40 added, 13 deleted).
% 0.19/0.50 ; Trie-index has 77 nodes (124 at peak, 127 added, 50 deleted).
% 0.19/0.50 ; Retrieved 12 generalization terms in 11 calls.
% 0.19/0.50 ; Retrieved 9 instance terms in 6 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of input rows to give has 7 entries:
% 0.19/0.50 ; 2 with value 3 1 with value 9 2 with value 16
% 0.19/0.50 ; 1 with value 7 1 with value 12
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.029 seconds of real time
% 0.19/0.50 0.023007 seconds of user run time
% 0.19/0.50 0.006132 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 1,928,280 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T21:07:07
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------