TSTP Solution File: SEU119+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:19:13 EDT 2022
% Result : Theorem 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 6 unt; 4 nHn; 14 RR)
% Number of literals : 33 ( 9 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(5,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(7,axiom,
( X = set_intersection2(Y,Z)
| in('SKOLEMAAAU2'(X,Y,Z),X)
| in('SKOLEMAAAU2'(X,Y,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(8,axiom,
( X = set_intersection2(Y,Z)
| in('SKOLEMAAAU2'(X,Y,Z),X)
| in('SKOLEMAAAU2'(X,Y,Z),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(9,axiom,
( ~ disjoint(X,Y)
| set_intersection2(X,Y) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(10,axiom,
( disjoint(X,Y)
| set_intersection2(X,Y) != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(15,negated_conjecture,
( ~ disjoint('SKOLEMAAAU5','SKOLEMAAAU6')
| in('SKOLEMAAAU7','SKOLEMAAAU5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(16,negated_conjecture,
( ~ disjoint('SKOLEMAAAU5','SKOLEMAAAU6')
| in('SKOLEMAAAU7','SKOLEMAAAU6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(19,negated_conjecture,
( ~ in(X,'SKOLEMAAAU5')
| ~ in(X,'SKOLEMAAAU6')
| disjoint('SKOLEMAAAU5','SKOLEMAAAU6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(20,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(25,plain,
( set_intersection2(X,Y) = empty_set
| in('SKOLEMAAAU2'(empty_set,X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[2,7,theory(equality)]) ).
cnf(51,plain,
( set_intersection2('SKOLEMAAAU6','SKOLEMAAAU5') = empty_set
| disjoint('SKOLEMAAAU5','SKOLEMAAAU6') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[19,25,8]),20]) ).
cnf(56,plain,
set_intersection2('SKOLEMAAAU6','SKOLEMAAAU5') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[9,51]) ).
cnf(63,plain,
disjoint('SKOLEMAAAU5','SKOLEMAAAU6'),
inference('HYPERRESOLVE',[status(thm)],[10,56]) ).
cnf(64,plain,
in('SKOLEMAAAU7','SKOLEMAAAU5'),
inference('REWRITE',[status(thm)],[15,63]) ).
cnf(65,plain,
in('SKOLEMAAAU7','SKOLEMAAAU6'),
inference('REWRITE',[status(thm)],[16,63]) ).
cnf(71,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,64,56,20]),65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 12:03:30 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T12:03:30
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-20T12:03:30
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.48 ; Declaring set_intersection2 to be commutative.
% 0.18/0.57 ; Declaring disjoint to be commutative.
% 0.18/0.57
% 0.18/0.58 #||
% 0.18/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 % SZS output start Refutation
% See solution above
% 0.18/0.58 ||#
% 0.18/0.58
% 0.18/0.58 ; Summary of computation:
% 0.18/0.58 ; 1013 formulas have been input or derived (from 32 formulas).
% 0.18/0.58 ; 71 ( 7%) were retained. Of these,
% 0.18/0.58 ; 24 (34%) were simplified or subsumed later,
% 0.18/0.58 ; 47 (66%) are still being kept.
% 0.18/0.58 ;
% 0.18/0.58 ; Run time in seconds excluding printing time:
% 0.18/0.58 ; 0.003 3% Read assertion file (1 call)
% 0.18/0.58 ; 0.000 0% Assert (13 calls)
% 0.18/0.58 ; 0.008 7% Process new row (592 calls)
% 0.18/0.58 ; 0.029 26% Resolution (62 calls)
% 0.18/0.58 ; 0.000 0% Paramodulation (31 calls)
% 0.18/0.58 ; 0.000 0% Factoring (7 calls)
% 0.18/0.58 ; 0.008 7% Condensing (384 calls)
% 0.18/0.58 ; 0.007 6% Forward subsumption (384 calls)
% 0.18/0.58 ; 0.002 2% Backward subsumption (55 calls)
% 0.18/0.58 ; 0.007 6% Clause clause subsumption (739 calls)
% 0.18/0.58 ; 0.014 13% Forward simplification (590 calls)
% 0.18/0.58 ; 0.000 0% Backward simplification (71 calls)
% 0.18/0.58 ; 0.004 4% Ordering (1,337 calls)
% 0.18/0.58 ; 0.001 1% Sortal reasoning (32 calls)
% 0.18/0.58 ; 0.000 0% Purity testing (1 call)
% 0.18/0.58 ; 0.028 25% Other
% 0.18/0.58 ; 0.111 Total
% 0.18/0.58 ; 0.113 Real time
% 0.18/0.58 ;
% 0.18/0.58 ; Term-hash-array has 95 terms in all.
% 0.18/0.58 ; Feature-vector-row-index has 33 entries (44 at peak, 55 added, 22 deleted).
% 0.18/0.58 ; Feature-vector-row-index has 74 nodes (152 at peak, 192 added, 118 deleted).
% 0.18/0.58 ; Retrieved 1,447 possibly forward subsuming rows in 384 calls.
% 0.18/0.58 ; Retrieved 54 possibly backward subsumed rows in 55 calls.
% 0.18/0.58 ; Path-index has 94 entries (94 at peak, 113 added, 19 deleted).
% 0.18/0.58 ; Path-index has 95 nodes (95 at peak, 116 added, 21 deleted).
% 0.18/0.58 ; Trie-index has 94 entries (94 at peak, 113 added, 19 deleted).
% 0.18/0.58 ; Trie-index has 173 nodes (173 at peak, 214 added, 41 deleted).
% 0.18/0.58 ; Retrieved 1,111 generalization terms in 1,596 calls.
% 0.18/0.58 ; Retrieved 19 instance terms in 15 calls.
% 0.18/0.58 ; Retrieved 6,674 unifiable terms in 559 calls.
% 0.18/0.58 ;
% 0.18/0.58 ; The agenda of rows to process has 7 entries:
% 0.18/0.58 ; 2 with value 8 4 with value 9 1 with value 13
% 0.18/0.58 ; The agenda of input rows to give has 1 entry:
% 0.18/0.58 ; 1 with value 4
% 0.18/0.58 ; The agenda of rows to give has 21 entries:
% 0.18/0.58 ; 2 with value (4 5) 1 with value (4 17) 1 with value (4 23)
% 0.18/0.58 ; 1 with value (4 8) 1 with value (4 19) 1 with value (4 26)
% 0.18/0.58 ; 1 with value (4 14) 3 with value (4 20) 2 with value (4 32)
% 0.18/0.58 ; 5 with value (4 16) 1 with value (4 21) 2 with value (4 33)
% 0.18/0.58 Evaluation took:
% 0.18/0.58 0.113 seconds of real time
% 0.18/0.58 0.094572 seconds of user run time
% 0.18/0.58 0.017949 seconds of system run time
% 0.18/0.58 0 calls to %EVAL
% 0.18/0.58 0 page faults and
% 0.18/0.58 6,756,208 bytes consed.
% 0.18/0.58 :PROOF-FOUND
% 0.18/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T12:03:30
% 0.18/0.58 :PROOF-FOUND
% 0.18/0.58 *
%------------------------------------------------------------------------------