TSTP Solution File: SEU056+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU056+1 : TPTP v8.1.0. Released v3.2.0.
% 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 14:18:55 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 8 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ disjoint(X,Y)
| set_intersection2(X,Y) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(6,axiom,
( disjoint(X,Y)
| set_intersection2(X,Y) != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(33,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_image(X,set_intersection2(Y,Z)) = set_intersection2(relation_image(X,Y),relation_image(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t121_funct_1) ).
cnf(34,negated_conjecture,
relation('SKOLEMAAAV14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_funct_1) ).
cnf(35,negated_conjecture,
function('SKOLEMAAAV14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_funct_1) ).
cnf(36,negated_conjecture,
disjoint('SKOLEMAAAV12','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_funct_1) ).
cnf(37,negated_conjecture,
one_to_one('SKOLEMAAAV14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_funct_1) ).
cnf(38,negated_conjecture,
~ disjoint(relation_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_image('SKOLEMAAAV14','SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_funct_1) ).
cnf(39,axiom,
( ~ relation(X)
| relation_image(X,empty_set) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t149_relat_1) ).
cnf(68,plain,
relation_image('SKOLEMAAAV14',empty_set) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[39,34]) ).
cnf(78,plain,
set_intersection2('SKOLEMAAAV12','SKOLEMAAAV13') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[5,36]) ).
cnf(81,plain,
set_intersection2(relation_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_image('SKOLEMAAAV14','SKOLEMAAAV13')) != empty_set,
inference('UR-RESOLVE',[status(thm)],[6,38]) ).
cnf(99,plain,
relation_image('SKOLEMAAAV14',set_intersection2(X,Y)) = set_intersection2(relation_image('SKOLEMAAAV14',X),relation_image('SKOLEMAAAV14',Y)),
inference('HYPERRESOLVE',[status(thm)],[33,34,35,37]) ).
cnf(100,plain,
$false,
inference('REWRITE',[status(thm)],[81,68,78,99,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU056+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 Jun 19 20:21:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-19T20:21:24
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T20:21:24
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.48 ; Declaring set_intersection2 to be commutative.
% 0.19/0.48 WARNING:
% 0.19/0.48 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.51 ; Declaring disjoint to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 231 formulas have been input or derived (from 51 formulas).
% 0.19/0.51 ; 100 (43%) were retained. Of these,
% 0.19/0.51 ; 14 (14%) were simplified or subsumed later,
% 0.19/0.51 ; 86 (86%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.007 15% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (37 calls)
% 0.19/0.51 ; 0.004 9% Process new row (213 calls)
% 0.19/0.51 ; 0.003 6% Resolution (100 calls)
% 0.19/0.51 ; 0.001 2% Paramodulation (50 calls)
% 0.19/0.51 ; 0.000 0% Factoring (1 call)
% 0.19/0.51 ; 0.004 9% Condensing (24 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (24 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (24 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.19/0.51 ; 0.002 4% Forward simplification (208 calls)
% 0.19/0.51 ; 0.003 6% Backward simplification (100 calls)
% 0.19/0.51 ; 0.000 0% Ordering (38 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 47% Other
% 0.19/0.51 ; 0.047 Total
% 0.19/0.51 ; 0.048 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 152 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.19/0.51 ; Retrieved 1 possibly forward subsuming row in 24 calls.
% 0.19/0.51 ; Retrieved 2 possibly backward subsumed rows in 24 calls.
% 0.19/0.51 ; Path-index has 149 entries (151 at peak, 164 added, 15 deleted).
% 0.19/0.51 ; Path-index has 205 nodes (209 at peak, 222 added, 17 deleted).
% 0.19/0.51 ; Trie-index has 149 entries (151 at peak, 164 added, 15 deleted).
% 0.19/0.51 ; Trie-index has 279 nodes (290 at peak, 309 added, 30 deleted).
% 0.19/0.51 ; Retrieved 169 generalization terms in 282 calls.
% 0.19/0.51 ; Retrieved 84 instance terms in 75 calls.
% 0.19/0.51 ; Retrieved 896 unifiable terms in 368 calls.
% 0.19/0.51 ;
% 0.19/0.52 ; The agenda of rows to process has 3 entries:
% 0.19/0.52 ; 3 with value 17
% 0.19/0.52 ; The agenda of rows to give has 43 entries:
% 0.19/0.52 ; 1 with value (4 4) 15 with value (4 7) 3 with value (4 10)
% 0.19/0.52 ; 6 with value (4 5) 10 with value (4 8) 2 with value (4 11)
% 0.19/0.52 ; 2 with value (4 6) 3 with value (4 9) 1 with value (4 17)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.049 seconds of real time
% 0.19/0.52 0.04358 seconds of user run time
% 0.19/0.52 0.00567 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 2,963,872 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T20:21:24
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------