TSTP Solution File: SET978+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET978+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 05:13:48 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 1 nHn; 5 RR)
% Number of literals : 14 ( 2 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 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 : 14 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ disjoint(X,Y)
| disjoint(cartesian_product2(X,Z),cartesian_product2(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t127_zfmisc_1) ).
cnf(4,axiom,
( ~ disjoint(X,Y)
| disjoint(cartesian_product2(Z,X),cartesian_product2(U,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t127_zfmisc_1) ).
cnf(5,negated_conjecture,
'SKOLEMAAAV3' != 'SKOLEMAAAV4',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t131_zfmisc_1) ).
cnf(6,negated_conjecture,
( ~ disjoint(cartesian_product2(singleton('SKOLEMAAAV3'),'SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV4'),'SKOLEMAAAV6'))
| ~ disjoint(cartesian_product2('SKOLEMAAAV5',singleton('SKOLEMAAAV3')),cartesian_product2('SKOLEMAAAV6',singleton('SKOLEMAAAV4'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t131_zfmisc_1) ).
cnf(7,axiom,
( X = Y
| disjoint(singleton(X),singleton(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_zfmisc_1) ).
cnf(8,plain,
disjoint(singleton('SKOLEMAAAV3'),singleton('SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[7,5]) ).
cnf(11,plain,
disjoint(cartesian_product2(X,singleton('SKOLEMAAAV3')),cartesian_product2(Y,singleton('SKOLEMAAAV4'))),
inference('HYPERRESOLVE',[status(thm)],[4,8]) ).
cnf(12,plain,
~ disjoint(cartesian_product2(singleton('SKOLEMAAAV3'),'SKOLEMAAAV5'),cartesian_product2(singleton('SKOLEMAAAV4'),'SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[6,11]) ).
cnf(13,plain,
disjoint(cartesian_product2(singleton('SKOLEMAAAV3'),X),cartesian_product2(singleton('SKOLEMAAAV4'),Y)),
inference('HYPERRESOLVE',[status(thm)],[3,8]) ).
cnf(14,plain,
$false,
inference('REWRITE',[status(thm)],[12,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 15:57:52 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)
% 0.19/0.47 (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 2022-07-09T15:57:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-09T15:57:52
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.50 ; Declaring disjoint 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 ; 24 formulas have been input or derived (from 9 formulas).
% 0.19/0.50 ; 14 (58%) were retained. Of these,
% 0.19/0.50 ; 2 (14%) were simplified or subsumed later,
% 0.19/0.50 ; 12 (86%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 4% Assert (6 calls)
% 0.19/0.50 ; 0.001 4% Process new row (18 calls)
% 0.19/0.50 ; 0.001 4% Resolution (16 calls)
% 0.19/0.50 ; 0.001 4% Paramodulation (8 calls)
% 0.19/0.50 ; 0.000 0% Factoring (1 call)
% 0.19/0.50 ; 0.001 4% Condensing (8 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (8 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (6 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (18 calls)
% 0.19/0.50 ; 0.001 4% Backward simplification (14 calls)
% 0.19/0.50 ; 0.000 0% Ordering (5 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 ; 0.020 71% Other
% 0.19/0.50 ; 0.028 Total
% 0.19/0.50 ; 0.031 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 35 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 5 entries (6 at peak, 6 added, 1 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 12 nodes (31 at peak, 31 added, 19 deleted).
% 0.19/0.50 ; Retrieved 5 possibly forward subsuming rows in 8 calls.
% 0.19/0.50 ; Retrieved 2 possibly backward subsumed rows in 6 calls.
% 0.19/0.50 ; Path-index has 33 entries (38 at peak, 46 added, 13 deleted).
% 0.19/0.50 ; Path-index has 48 nodes (58 at peak, 68 added, 20 deleted).
% 0.19/0.50 ; Trie-index has 33 entries (38 at peak, 46 added, 13 deleted).
% 0.19/0.50 ; Trie-index has 71 nodes (86 at peak, 105 added, 34 deleted).
% 0.19/0.50 ; Retrieved 1 generalization term in 14 calls.
% 0.19/0.50 ; Retrieved 9 instance terms in 7 calls.
% 0.19/0.50 ; Retrieved 52 unifiable terms in 50 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 5 entries:
% 0.19/0.50 ; 5 with value 14
% 0.19/0.50 ; The agenda of rows to give has 4 entries:
% 0.19/0.50 ; 2 with value (4 14) 2 with value (4 17)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.032 seconds of real time
% 0.19/0.50 0.02521 seconds of user run time
% 0.19/0.50 0.005928 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 2,132,864 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T15:57:52
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------