TSTP Solution File: SEU129+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:19:19 EDT 2022
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 1 nHn; 12 RR)
% Number of literals : 22 ( 2 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAW1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAW1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(5,axiom,
( X != set_intersection2(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(6,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(15,negated_conjecture,
subset('SKOLEMAAAW5','SKOLEMAAAW6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
cnf(16,negated_conjecture,
~ subset(set_intersection2('SKOLEMAAAW5','SKOLEMAAAW7'),set_intersection2('SKOLEMAAAW6','SKOLEMAAAW7')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
cnf(23,plain,
in('SKOLEMAAAW1'(set_intersection2('SKOLEMAAAW5','SKOLEMAAAW7'),set_intersection2('SKOLEMAAAW6','SKOLEMAAAW7')),set_intersection2('SKOLEMAAAW5','SKOLEMAAAW7')),
inference('HYPERRESOLVE',[status(thm)],[16,3]) ).
cnf(24,plain,
~ in('SKOLEMAAAW1'(set_intersection2('SKOLEMAAAW5','SKOLEMAAAW7'),set_intersection2('SKOLEMAAAW6','SKOLEMAAAW7')),set_intersection2('SKOLEMAAAW6','SKOLEMAAAW7')),
inference('UR-RESOLVE',[status(thm)],[4,16]) ).
cnf(62,plain,
in('SKOLEMAAAW1'(set_intersection2('SKOLEMAAAW5','SKOLEMAAAW7'),set_intersection2('SKOLEMAAAW6','SKOLEMAAAW7')),'SKOLEMAAAW5'),
inference('HYPERRESOLVE',[status(thm)],[5,23,theory(equality)]) ).
cnf(63,plain,
in('SKOLEMAAAW1'(set_intersection2('SKOLEMAAAW5','SKOLEMAAAW7'),set_intersection2('SKOLEMAAAW6','SKOLEMAAAW7')),'SKOLEMAAAW7'),
inference('HYPERRESOLVE',[status(thm)],[5,23,theory(equality)]) ).
cnf(183,plain,
in('SKOLEMAAAW1'(set_intersection2('SKOLEMAAAW5','SKOLEMAAAW7'),set_intersection2('SKOLEMAAAW6','SKOLEMAAAW7')),'SKOLEMAAAW6'),
inference('HYPERRESOLVE',[status(thm)],[2,62,15]) ).
cnf(260,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,24,63,theory(equality)]),183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 12:27:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:27:24
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T12:27:24
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.56/0.73 ; Declaring set_intersection2 to be commutative.
% 0.56/0.73
% 0.56/0.73 #||
% 0.56/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.73 % SZS output start Refutation
% See solution above
% 0.56/0.73 ||#
% 0.56/0.73
% 0.56/0.73 ; Summary of computation:
% 0.56/0.73 ; 2957 formulas have been input or derived (from 107 formulas).
% 0.56/0.73 ; 260 ( 9%) were retained. Of these,
% 0.56/0.73 ; 8 ( 3%) were simplified or subsumed later,
% 0.56/0.73 ; 252 (97%) are still being kept.
% 0.56/0.73 ;
% 0.56/0.73 ; Run time in seconds excluding printing time:
% 0.56/0.73 ; 0.005 2% Read assertion file (1 call)
% 0.56/0.73 ; 0.002 1% Assert (16 calls)
% 0.56/0.73 ; 0.026 10% Process new row (2,125 calls)
% 0.56/0.73 ; 0.090 35% Resolution (212 calls)
% 0.56/0.73 ; 0.004 2% Paramodulation (106 calls)
% 0.56/0.73 ; 0.000 0% Factoring (7 calls)
% 0.56/0.73 ; 0.010 4% Condensing (409 calls)
% 0.56/0.73 ; 0.016 6% Forward subsumption (409 calls)
% 0.56/0.73 ; 0.003 1% Backward subsumption (78 calls)
% 0.56/0.73 ; 0.006 2% Clause clause subsumption (808 calls)
% 0.56/0.73 ; 0.046 18% Forward simplification (2,124 calls)
% 0.56/0.73 ; 0.000 0% Backward simplification (260 calls)
% 0.56/0.73 ; 0.006 2% Ordering (2,401 calls)
% 0.56/0.73 ; 0.001 0% Sortal reasoning (32 calls)
% 0.56/0.73 ; 0.000 0% Purity testing (1 call)
% 0.56/0.73 ; 0.039 15% Other
% 0.56/0.73 ; 0.254 Total
% 0.56/0.73 ; 0.260 Real time
% 0.56/0.73 ;
% 0.56/0.73 ; Term-hash-array has 355 terms in all.
% 0.56/0.73 ; Feature-vector-row-index has 71 entries (71 at peak, 78 added, 7 deleted).
% 0.56/0.73 ; Feature-vector-row-index has 199 nodes (199 at peak, 231 added, 32 deleted).
% 0.56/0.73 ; Retrieved 1,561 possibly forward subsuming rows in 409 calls.
% 0.56/0.73 ; Retrieved 78 possibly backward subsumed rows in 78 calls.
% 0.56/0.73 ; Path-index has 359 entries (359 at peak, 374 added, 15 deleted).
% 0.56/0.73 ; Path-index has 279 nodes (279 at peak, 282 added, 3 deleted).
% 0.56/0.73 ; Trie-index has 359 entries (359 at peak, 374 added, 15 deleted).
% 0.56/0.73 ; Trie-index has 902 nodes (902 at peak, 925 added, 23 deleted).
% 0.56/0.73 ; Retrieved 4,999 generalization terms in 6,059 calls.
% 0.56/0.73 ; Retrieved 184 instance terms in 181 calls.
% 0.56/0.73 ; Retrieved 34,224 unifiable terms in 3,559 calls.
% 0.56/0.73 ;
% 0.56/0.73 ; The agenda of rows to process has 6 entries:
% 0.56/0.73 ; 3 with value 16 1 with value 20 1 with value 25
% 0.56/0.73 ; 1 with value 18
% 0.56/0.73 ; The agenda of rows to give has 148 entries:
% 0.56/0.73 ; 4 with value (4 10) 17 with value (4 18) 6 with value (4 24)
% 0.56/0.73 ; 1 with value (4 11) 11 with value (4 19) 2 with value (4 25)
% 0.56/0.73 ; 2 with value (4 13) 8 with value (4 20) 2 with value (4 26)
% 0.56/0.73 ; 1 with value (4 14) 8 with value (4 21) 4 with value (4 31)
% 0.56/0.73 ; 27 with value (4 15) 14 with value (4 22) 2 with value (4 32)
% 0.56/0.73 ; 16 with value (4 16) 2 with value (4 23) 2 with value (4 33)
% 0.56/0.73 ; 19 with value (4 17)
% 0.56/0.73 Evaluation took:
% 0.56/0.73 0.26 seconds of real time
% 0.56/0.73 0.220754 seconds of user run time
% 0.56/0.73 0.035977 seconds of system run time
% 0.56/0.73 0 calls to %EVAL
% 0.56/0.73 0 page faults and
% 0.56/0.73 12,190,256 bytes consed.
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:27:24
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 *
%------------------------------------------------------------------------------