TSTP Solution File: SET945+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET945+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 05:13:36 EDT 2022
% Result : Theorem 0.78s 0.99s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 8 unt; 3 nHn; 14 RR)
% Number of literals : 31 ( 4 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(3,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(7,axiom,
( X != union(Y)
| ~ in(Z,X)
| in(Z,'SKOLEMAABD2'(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(8,axiom,
( X != union(Y)
| ~ in(Z,X)
| in('SKOLEMAABD2'(Z,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(16,axiom,
( disjoint(X,Y)
| in('SKOLEMAABD7'(X,Y),set_intersection2(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
cnf(17,axiom,
( ~ in(X,set_intersection2(Y,Z))
| ~ disjoint(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
cnf(18,negated_conjecture,
( ~ in(X,'SKOLEMAABD8')
| disjoint(X,'SKOLEMAABD9') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_zfmisc_1) ).
cnf(19,negated_conjecture,
~ disjoint(union('SKOLEMAABD8'),'SKOLEMAABD9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_zfmisc_1) ).
cnf(25,plain,
( disjoint(X,Y)
| in('SKOLEMAABD7'(X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[2,16,theory(equality)]) ).
cnf(26,plain,
( disjoint(X,Y)
| in('SKOLEMAABD7'(X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[2,16,theory(equality)]) ).
cnf(94,plain,
in('SKOLEMAABD7'(union('SKOLEMAABD8'),'SKOLEMAABD9'),union('SKOLEMAABD8')),
inference('UR-RESOLVE',[status(thm)],[25,19]) ).
cnf(132,plain,
in('SKOLEMAABD7'(union('SKOLEMAABD8'),'SKOLEMAABD9'),'SKOLEMAABD9'),
inference('UR-RESOLVE',[status(thm)],[26,19]) ).
cnf(167,plain,
in('SKOLEMAABD2'('SKOLEMAABD7'(union('SKOLEMAABD8'),'SKOLEMAABD9'),'SKOLEMAABD8'),'SKOLEMAABD8'),
inference('HYPERRESOLVE',[status(thm)],[8,94,theory(equality)]) ).
cnf(168,plain,
in('SKOLEMAABD7'(union('SKOLEMAABD8'),'SKOLEMAABD9'),'SKOLEMAABD2'('SKOLEMAABD7'(union('SKOLEMAABD8'),'SKOLEMAABD9'),'SKOLEMAABD8')),
inference('HYPERRESOLVE',[status(thm)],[7,94,theory(equality)]) ).
cnf(229,plain,
disjoint('SKOLEMAABD2'('SKOLEMAABD7'(union('SKOLEMAABD8'),'SKOLEMAABD9'),'SKOLEMAABD8'),'SKOLEMAABD9'),
inference('HYPERRESOLVE',[status(thm)],[18,167]) ).
cnf(351,plain,
~ in(X,set_intersection2('SKOLEMAABD2'('SKOLEMAABD7'(union('SKOLEMAABD8'),'SKOLEMAABD9'),'SKOLEMAABD8'),'SKOLEMAABD9')),
inference('UR-RESOLVE',[status(thm)],[17,229]) ).
cnf(524,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,168,132,theory(equality)]),351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET945+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 01:46:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (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/sandbox/benchmark/theBenchmark.p 2022-07-10T01:46:40
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-10T01:46:40
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.50 ; Declaring set_intersection2 to be commutative.
% 0.78/0.99 ; Declaring disjoint to be commutative.
% 0.78/0.99
% 0.78/0.99 #||
% 0.78/0.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.99 % SZS output start Refutation
% See solution above
% 0.85/1.00 ||#
% 0.85/1.00
% 0.85/1.00 ; Summary of computation:
% 0.85/1.00 ; 2697 formulas have been input or derived (from 88 formulas).
% 0.85/1.00 ; 524 (19%) were retained. Of these,
% 0.85/1.00 ; 13 ( 2%) were simplified or subsumed later,
% 0.85/1.00 ; 511 (98%) are still being kept.
% 0.85/1.00 ;
% 0.85/1.00 ; Run time in seconds excluding printing time:
% 0.85/1.00 ; 0.004 1% Read assertion file (1 call)
% 0.85/1.00 ; 0.001 0% Assert (10 calls)
% 0.85/1.00 ; 0.080 16% Process new row (1,812 calls)
% 0.85/1.00 ; 0.111 22% Resolution (174 calls)
% 0.85/1.00 ; 0.003 1% Paramodulation (87 calls)
% 0.85/1.00 ; 0.001 0% Factoring (17 calls)
% 0.85/1.00 ; 0.024 5% Condensing (1,041 calls)
% 0.85/1.00 ; 0.101 20% Forward subsumption (1,041 calls)
% 0.85/1.00 ; 0.019 4% Backward subsumption (385 calls)
% 0.85/1.00 ; 0.046 9% Clause clause subsumption (5,543 calls)
% 0.85/1.00 ; 0.061 12% Forward simplification (1,812 calls)
% 0.85/1.01 ; 0.002 0% Backward simplification (524 calls)
% 0.85/1.01 ; 0.010 2% Ordering (3,070 calls)
% 0.85/1.01 ; 0.000 0% Sortal reasoning (32 calls)
% 0.85/1.01 ; 0.000 0% Purity testing (1 call)
% 0.85/1.01 ; 0.044 9% Other
% 0.85/1.01 ; 0.507 Total
% 0.85/1.01 ; 0.521 Real time
% 0.85/1.01 ;
% 0.85/1.01 ; Term-hash-array has 1,123 terms in all.
% 0.85/1.01 ; Feature-vector-row-index has 378 entries (378 at peak, 385 added, 7 deleted).
% 0.85/1.01 ; Feature-vector-row-index has 928 nodes (928 at peak, 958 added, 30 deleted).
% 0.85/1.01 ; Retrieved 12,525 possibly forward subsuming rows in 1,041 calls.
% 0.85/1.01 ; Retrieved 2,123 possibly backward subsumed rows in 385 calls.
% 0.85/1.01 ; Path-index has 1,107 entries (1,107 at peak, 1,133 added, 26 deleted).
% 0.85/1.01 ; Path-index has 1,993 nodes (1,993 at peak, 2,008 added, 15 deleted).
% 0.85/1.01 ; Trie-index has 1,107 entries (1,107 at peak, 1,133 added, 26 deleted).
% 0.85/1.01 ; Trie-index has 3,817 nodes (3,817 at peak, 3,917 added, 100 deleted).
% 0.85/1.01 ; Retrieved 4,024 generalization terms in 6,862 calls.
% 0.85/1.01 ; Retrieved 158 instance terms in 138 calls.
% 0.85/1.01 ; Retrieved 77,220 unifiable terms in 2,831 calls.
% 0.85/1.01 ;
% 0.85/1.01 ; The agenda of rows to process has 66 entries:
% 0.85/1.01 ; 2 with value 23 3 with value 32 1 with value 46
% 0.85/1.01 ; 1 with value 24 1 with value 33 3 with value 48
% 0.85/1.01 ; 3 with value 25 4 with value 34 2 with value 49
% 0.85/1.01 ; 1 with value 26 5 with value 38 1 with value 50
% 0.85/1.01 ; 10 with value 27 1 with value 40 2 with value 51
% 0.85/1.01 ; 1 with value 28 2 with value 41 1 with value 55
% 0.85/1.01 ; 2 with value 29 10 with value 42 2 with value 57
% 0.85/1.01 ; 5 with value 31 1 with value 44 2 with value 58
% 0.85/1.01 ; The agenda of rows to give has 423 entries:
% 0.85/1.01 ; 11 with value (4 18) 14 with value (4 30) 18 with value (4 42)
% 0.85/1.01 ; 7 with value (4 19) 4 with value (4 31) 10 with value (4 43)
% 0.85/1.01 ; 18 with value (4 20) 24 with value (4 32) 13 with value (4 44)
% 0.85/1.01 ; 16 with value (4 21) 11 with value (4 33) 9 with value (4 45)
% 0.85/1.01 ; 12 with value (4 22) 10 with value (4 34) 9 with value (4 46)
% 0.85/1.01 ; 9 with value (4 23) 7 with value (4 35) 12 with value (4 47)
% 0.85/1.01 ; 17 with value (4 24) 9 with value (4 36) 12 with value (4 48)
% 0.85/1.01 ; 7 with value (4 25) 19 with value (4 37) 12 with value (4 49)
% 0.85/1.01 ; 12 with value (4 26) 16 with value (4 38) 14 with value (4 51)
% 0.85/1.01 ; 7 with value (4 27) 24 with value (4 39) 12 with value (4 52)
% 0.85/1.01 ; 4 with value (4 28) 10 with value (4 40) 4 with value (4 53)
% 0.85/1.01 ; 10 with value (4 29) 16 with value (4 41) 4 with value (4 54)
% 0.85/1.01 Evaluation took:
% 0.85/1.01 0.522 seconds of real time
% 0.85/1.01 0.483575 seconds of user run time
% 0.85/1.01 0.036978 seconds of system run time
% 0.85/1.01 [Run times include 0.021 seconds GC run time.]
% 0.85/1.01 0 calls to %EVAL
% 0.85/1.01 0 page faults and
% 0.85/1.01 26,370,120 bytes consed.
% 0.85/1.01 :PROOF-FOUND
% 0.85/1.01 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:46:41
% 0.85/1.01 :PROOF-FOUND
% 0.85/1.01 *
%------------------------------------------------------------------------------