%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET597+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:10:41 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 8 unt; 5 nHn; 23 RR)
% Number of literals : 53 ( 10 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
subset(X,union(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_union) ).
cnf(2,axiom,
( ~ subset(X,Y)
| ~ subset(Z,Y)
| subset(union(X,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_subset) ).
cnf(9,axiom,
( X = Y
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
cnf(14,negated_conjecture,
( 'SKOLEMAAAV3' != union('SKOLEMAAAV4','SKOLEMAAAV5')
| ~ subset('SKOLEMAAAV4','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| subset('SKOLEMAAAV4','SKOLEMAAAV6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th56) ).
cnf(15,negated_conjecture,
( 'SKOLEMAAAV3' != union('SKOLEMAAAV4','SKOLEMAAAV5')
| ~ subset('SKOLEMAAAV4','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| subset('SKOLEMAAAV5','SKOLEMAAAV6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th56) ).
cnf(16,negated_conjecture,
( 'SKOLEMAAAV3' != union('SKOLEMAAAV4','SKOLEMAAAV5')
| ~ subset('SKOLEMAAAV4','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV3','SKOLEMAAAV6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th56) ).
cnf(17,negated_conjecture,
( 'SKOLEMAAAV3' = union('SKOLEMAAAV4','SKOLEMAAAV5')
| subset('SKOLEMAAAV4','SKOLEMAAAV3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th56) ).
cnf(18,negated_conjecture,
( 'SKOLEMAAAV3' = union('SKOLEMAAAV4','SKOLEMAAAV5')
| subset('SKOLEMAAAV5','SKOLEMAAAV3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th56) ).
cnf(19,negated_conjecture,
( 'SKOLEMAAAV3' = union('SKOLEMAAAV4','SKOLEMAAAV5')
| ~ subset('SKOLEMAAAV4',X)
| ~ subset('SKOLEMAAAV5',X)
| subset('SKOLEMAAAV3',X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th56) ).
cnf(28,plain,
( 'SKOLEMAAAV3' = union('SKOLEMAAAV4','SKOLEMAAAV5')
| subset(union('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[2,17,18]) ).
cnf(47,plain,
( 'SKOLEMAAAV3' = union('SKOLEMAAAV4','SKOLEMAAAV5')
| subset('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[19,1,1]) ).
cnf(84,plain,
'SKOLEMAAAV3' = union('SKOLEMAAAV4','SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[9,47,28]) ).
cnf(85,plain,
( ~ subset('SKOLEMAAAV4','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| subset('SKOLEMAAAV4','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[14,84,theory(equality)]) ).
cnf(86,plain,
( ~ subset('SKOLEMAAAV4','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| subset('SKOLEMAAAV5','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[15,84,theory(equality)]) ).
cnf(87,plain,
( ~ subset('SKOLEMAAAV4','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[16,84,theory(equality)]) ).
cnf(91,plain,
subset('SKOLEMAAAV4','SKOLEMAAAV3'),
inference('PARAMODULATE',[status(thm)],[1,84,theory(equality)]) ).
cnf(92,plain,
( ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| subset('SKOLEMAAAV4','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[85,91]) ).
cnf(93,plain,
( ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| subset('SKOLEMAAAV5','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[86,91]) ).
cnf(94,plain,
( ~ subset('SKOLEMAAAV5','SKOLEMAAAV3')
| ~ subset('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[87,91]) ).
cnf(95,plain,
subset('SKOLEMAAAV5','SKOLEMAAAV3'),
inference('PARAMODULATE',[status(thm)],[1,84,theory(equality)]) ).
cnf(96,plain,
subset('SKOLEMAAAV4','SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[92,95]) ).
cnf(97,plain,
subset('SKOLEMAAAV5','SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[93,95]) ).
cnf(98,plain,
~ subset('SKOLEMAAAV3','SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[94,95]) ).
cnf(110,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,97,96]),98,84,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET597+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n012.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 15:41:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T15:41:58
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-10T15:41:58
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.37/0.55 ; Declaring union to be commutative.
% 0.37/0.55
% 0.37/0.55 #||
% 0.37/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.55 ||#
% 0.37/0.55
% 0.37/0.55 ; Summary of computation:
% 0.37/0.55 ; 391 formulas have been input or derived (from 35 formulas).
% 0.37/0.55 ; 110 (28%) were retained. Of these,
% 0.37/0.55 ; 59 (54%) were simplified or subsumed later,
% 0.37/0.55 ; 51 (46%) are still being kept.
% 0.37/0.55 ;
% 0.37/0.55 ; Run time in seconds excluding printing time:
% 0.37/0.55 ; 0.002 2% Read assertion file (1 call)
% 0.37/0.55 ; 0.001 1% Assert (9 calls)
% 0.37/0.55 ; 0.013 16% Process new row (332 calls)
% 0.37/0.55 ; 0.007 9% Resolution (68 calls)
% 0.37/0.55 ; 0.003 4% Paramodulation (34 calls)
% 0.37/0.55 ; 0.000 0% Factoring (9 calls)
% 0.37/0.55 ; 0.000 0% Condensing (167 calls)
% 0.37/0.55 ; 0.008 10% Forward subsumption (167 calls)
% 0.37/0.55 ; 0.002 2% Backward subsumption (93 calls)
% 0.37/0.55 ; 0.005 6% Clause clause subsumption (331 calls)
% 0.37/0.55 ; 0.009 11% Forward simplification (283 calls)
% 0.37/0.55 ; 0.006 7% Backward simplification (110 calls)
% 0.37/0.55 ; 0.001 1% Ordering (436 calls)
% 0.37/0.55 ; 0.001 1% Sortal reasoning (32 calls)
% 0.37/0.55 ; 0.000 0% Purity testing (1 call)
% 0.37/0.55 ; 0.023 28% Other
% 0.37/0.55 ; 0.081 Total
% 0.37/0.55 ; 0.085 Real time
% 0.37/0.55 ;
% 0.37/0.55 ; Term-hash-array has 205 terms in all.
% 0.37/0.55 ; Feature-vector-row-index has 37 entries (74 at peak, 93 added, 56 deleted).
% 0.37/0.55 ; Feature-vector-row-index has 138 nodes (468 at peak, 599 added, 461 deleted).
% 0.37/0.55 ; Retrieved 396 possibly forward subsuming rows in 167 calls.
% 0.37/0.55 ; Retrieved 30 possibly backward subsumed rows in 93 calls.
% 0.37/0.55 ; Path-index has 113 entries (180 at peak, 234 added, 121 deleted).
% 0.37/0.55 ; Path-index has 118 nodes (139 at peak, 183 added, 65 deleted).
% 0.37/0.55 ; Trie-index has 113 entries (180 at peak, 234 added, 121 deleted).
% 0.37/0.55 ; Trie-index has 210 nodes (358 at peak, 456 added, 246 deleted).
% 0.37/0.55 ; Retrieved 618 generalization terms in 524 calls.
% 0.37/0.55 ; Retrieved 33 instance terms in 16 calls.
% 0.37/0.55 ; Retrieved 2,292 unifiable terms in 356 calls.
% 0.37/0.55 ;
% 0.37/0.55 ; The agenda of rows to process has 16 entries:
% 0.37/0.55 ; 11 with value 8 1 with value 15 3 with value 19
% 0.37/0.55 ; 1 with value 12
% 0.37/0.55 ; The agenda of input rows to give has 1 entry:
% 0.37/0.55 ; 1 with value 4
% 0.37/0.55 ; The agenda of rows to give has 30 entries:
% 0.37/0.55 ; 2 with value (4 7) 1 with value (4 16) 3 with value (4 26)
% 0.37/0.55 ; 1 with value (4 8) 4 with value (4 19) 1 with value (4 27)
% 0.37/0.55 ; 2 with value (4 10) 2 with value (4 20) 1 with value (4 28)
% 0.37/0.55 ; 1 with value (4 12) 2 with value (4 21) 2 with value (4 36)
% 0.37/0.55 ; 2 with value (4 14) 2 with value (4 22) 2 with value (4 38)
% 0.37/0.55 ; 2 with value (4 15)
% 0.37/0.55 Evaluation took:
% 0.37/0.55 0.085 seconds of real time
% 0.37/0.55 0.07003 seconds of user run time
% 0.37/0.55 0.015257 seconds of system run time
% 0.37/0.55 0 calls to %EVAL
% 0.37/0.55 0 page faults and
% 0.37/0.55 5,953,792 bytes consed.
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T15:41:58
% 0.37/0.55 :PROOF-FOUND
% 0.37/0.55 *
%------------------------------------------------------------------------------