TSTP Solution File: SET624+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 05:11:02 EDT 2022
% Result : Theorem 7.14s 7.30s
% Output : Refutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 6 unt; 11 nHn; 19 RR)
% Number of literals : 48 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(4,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(5,axiom,
( intersect(X,Y)
| ~ member(Z,X)
| ~ member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(9,negated_conjecture,
( ~ intersect('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5'))
| ~ intersect('SKOLEMAAAV3','SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersect_with_union) ).
cnf(10,negated_conjecture,
( ~ intersect('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5'))
| ~ intersect('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersect_with_union) ).
cnf(11,negated_conjecture,
( intersect('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5'))
| intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| intersect('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersect_with_union) ).
cnf(13,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| intersect('SKOLEMAAAV3','SKOLEMAAAV5')
| member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[3,11]) ).
cnf(14,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| intersect('SKOLEMAAAV3','SKOLEMAAAV5')
| member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),union('SKOLEMAAAV4','SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[4,11]) ).
cnf(78,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| intersect('SKOLEMAAAV3','SKOLEMAAAV5')
| member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4')
| member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[1,14]) ).
cnf(1493,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| intersect('SKOLEMAAAV3','SKOLEMAAAV5')
| member('SKOLEMAAAV1'('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[5,78,13]) ).
cnf(1494,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| intersect('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[5,1493,13]) ).
cnf(1495,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| member('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV5'),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[4,1494]) ).
cnf(1497,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| member('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV5'),'SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[3,1494]) ).
cnf(1500,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| member('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV5',X)) ),
inference('HYPERRESOLVE',[status(thm)],[2,1495]) ).
cnf(1507,plain,
( intersect('SKOLEMAAAV3','SKOLEMAAAV4')
| intersect(union('SKOLEMAAAV5',X),'SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[5,1500,1497]) ).
cnf(1517,plain,
intersect('SKOLEMAAAV3','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[10,1507,1494]) ).
cnf(1518,plain,
~ intersect('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[9,1517]) ).
cnf(1526,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[4,1517]) ).
cnf(1528,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[3,1517]) ).
cnf(1531,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV4'),union('SKOLEMAAAV4',X)),
inference('HYPERRESOLVE',[status(thm)],[2,1526]) ).
cnf(1536,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,1528,1518]),1531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n016.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 21:36:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T21:36:27
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T21:36:27
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.19/0.48 ; Declaring union to be commutative.
% 7.14/7.30 ; Declaring intersect to be commutative.
% 7.14/7.30
% 7.14/7.30 #||
% 7.14/7.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.14/7.30 % SZS output start Refutation
% See solution above
% 7.14/7.30 ||#
% 7.14/7.30
% 7.14/7.30 ; Summary of computation:
% 7.14/7.30 ; 25685 formulas have been input or derived (from 347 formulas).
% 7.14/7.30 ; 1536 ( 6%) were retained. Of these,
% 7.14/7.30 ; 512 (33%) were simplified or subsumed later,
% 7.14/7.30 ; 1024 (67%) are still being kept.
% 7.14/7.30 ;
% 7.14/7.30 ; Run time in seconds excluding printing time:
% 7.14/7.30 ; 0.002 0% Read assertion file (1 call)
% 7.14/7.30 ; 0.000 0% Assert (6 calls)
% 7.14/7.30 ; 0.183 3% Process new row (22,781 calls)
% 7.14/7.30 ; 0.291 4% Resolution (692 calls)
% 7.14/7.30 ; 0.085 1% Paramodulation (346 calls)
% 7.14/7.30 ; 0.002 0% Factoring (288 calls)
% 7.14/7.30 ; 0.657 10% Condensing (17,506 calls)
% 7.14/7.30 ; 1.145 17% Forward subsumption (17,506 calls)
% 7.14/7.30 ; 0.146 2% Backward subsumption (1,404 calls)
% 7.14/7.30 ; 3.177 47% Clause clause subsumption (378,422 calls)
% 7.14/7.30 ; 0.985 14% Forward simplification (22,192 calls)
% 7.14/7.30 ; 0.006 0% Backward simplification (1,536 calls)
% 7.14/7.30 ; 0.046 1% Ordering (36,762 calls)
% 7.14/7.30 ; 0.000 0% Sortal reasoning (32 calls)
% 7.14/7.30 ; 0.000 0% Purity testing (1 call)
% 7.14/7.30 ; 0.103 2% Other
% 7.14/7.30 ; 6.828 Total
% 7.14/7.30 ; 6.832 Real time
% 7.14/7.30 ;
% 7.14/7.30 ; Term-hash-array has 1,827 terms in all.
% 7.14/7.30 ; Feature-vector-row-index has 906 entries (1,075 at peak, 1,404 added, 498 deleted).
% 7.14/7.30 ; Feature-vector-row-index has 591 nodes (1,394 at peak, 1,648 added, 1,057 deleted).
% 7.14/7.30 ; Retrieved 922,445 possibly forward subsuming rows in 17,506 calls.
% 7.14/7.30 ; Retrieved 47,109 possibly backward subsumed rows in 1,404 calls.
% 7.14/7.30 ; Path-index has 1,293 entries (1,504 at peak, 1,871 added, 578 deleted).
% 7.14/7.30 ; Path-index has 221 nodes (283 at peak, 318 added, 97 deleted).
% 7.14/7.30 ; Trie-index has 1,293 entries (1,504 at peak, 1,871 added, 578 deleted).
% 7.14/7.30 ; Trie-index has 3,445 nodes (4,320 at peak, 5,103 added, 1,658 deleted).
% 7.14/7.30 ; Retrieved 131,175 generalization terms in 119,849 calls.
% 7.14/7.30 ; Retrieved 514 instance terms in 131 calls.
% 7.14/7.30 ; Retrieved 91,654 unifiable terms in 3,968 calls.
% 7.14/7.30 ;
% 7.14/7.30 ; The agenda of rows to give has 793 entries:
% 7.14/7.30 ; 1 with value (4 16) 63 with value (4 37) 5 with value (4 49)
% 7.14/7.30 ; 1 with value (4 17) 51 with value (4 38) 1 with value (4 50)
% 7.14/7.30 ; 1 with value (4 18) 38 with value (4 39) 7 with value (4 51)
% 7.14/7.30 ; 4 with value (4 19) 38 with value (4 40) 2 with value (4 52)
% 7.14/7.30 ; 2 with value (4 23) 26 with value (4 41) 7 with value (4 53)
% 7.14/7.30 ; 2 with value (4 27) 17 with value (4 42) 4 with value (4 54)
% 7.14/7.30 ; 57 with value (4 30) 9 with value (4 43) 8 with value (4 56)
% 7.14/7.30 ; 53 with value (4 31) 8 with value (4 44) 1 with value (4 57)
% 7.14/7.30 ; 65 with value (4 32) 6 with value (4 45) 2 with value (4 58)
% 7.14/7.30 ; 70 with value (4 33) 4 with value (4 46) 4 with value (4 59)
% 7.14/7.30 ; 62 with value (4 34) 4 with value (4 47) 3 with value (4 61)
% 7.14/7.30 ; 74 with value (4 35) 4 with value (4 48) 1 with value (4 62)
% 7.14/7.30 ; 88 with value (4 36)
% 7.14/7.30 Evaluation took:
% 7.14/7.30 6.832 seconds of real time
% 7.14/7.30 6.213106 seconds of user run time
% 7.14/7.30 0.618177 seconds of system run time
% 7.14/7.30 [Run times include 0.231 seconds GC run time.]
% 7.14/7.30 0 calls to %EVAL
% 7.14/7.30 0 page faults and
% 7.14/7.30 778,193,384 bytes consed.
% 7.14/7.30 :PROOF-FOUND
% 7.14/7.30 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T21:36:33
% 7.14/7.30 :PROOF-FOUND
% 7.14/7.30 *
%------------------------------------------------------------------------------