TSTP Solution File: SEU153+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU153+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:19:34 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 17 ( 6 equ; 9 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 : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(6,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(9,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(13,axiom,
( ~ disjoint(X,Y)
| set_intersection2(X,Y) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(17,negated_conjecture,
disjoint(singleton('SKOLEMAAAV4'),'SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
cnf(18,negated_conjecture,
in('SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).
cnf(23,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[6,theory(equality)]) ).
cnf(24,plain,
set_intersection2(singleton('SKOLEMAAAV4'),'SKOLEMAAAV5') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[13,17]) ).
cnf(28,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(67,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,28,18,theory(equality)]),23,24,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU153+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 21:24:44 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 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T21:24:44
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T21:24:44
% 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.
% 0.19/0.53 ; Declaring disjoint to be commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 348 formulas have been input or derived (from 26 formulas).
% 0.19/0.53 ; 67 (19%) were retained. Of these,
% 0.19/0.53 ; 7 (10%) were simplified or subsumed later,
% 0.19/0.53 ; 60 (90%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (15 calls)
% 0.19/0.53 ; 0.005 8% Process new row (217 calls)
% 0.19/0.53 ; 0.012 18% Resolution (50 calls)
% 0.19/0.53 ; 0.001 2% Paramodulation (25 calls)
% 0.19/0.53 ; 0.000 0% Factoring (4 calls)
% 0.19/0.53 ; 0.005 8% Condensing (141 calls)
% 0.19/0.53 ; 0.003 5% Forward subsumption (141 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (39 calls)
% 0.19/0.53 ; 0.003 5% Clause clause subsumption (233 calls)
% 0.19/0.53 ; 0.008 12% Forward simplification (217 calls)
% 0.19/0.53 ; 0.000 0% Backward simplification (67 calls)
% 0.19/0.53 ; 0.001 2% Ordering (497 calls)
% 0.19/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.001 2% Purity testing (1 call)
% 0.19/0.53 ; 0.022 33% Other
% 0.19/0.53 ; 0.066 Total
% 0.19/0.53 ; 0.069 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 125 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 35 entries (37 at peak, 39 added, 4 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 88 nodes (101 at peak, 102 added, 14 deleted).
% 0.19/0.53 ; Retrieved 437 possibly forward subsuming rows in 141 calls.
% 0.19/0.53 ; Retrieved 44 possibly backward subsumed rows in 39 calls.
% 0.19/0.53 ; Path-index has 125 entries (126 at peak, 138 added, 13 deleted).
% 0.19/0.53 ; Path-index has 169 nodes (169 at peak, 179 added, 10 deleted).
% 0.19/0.53 ; Trie-index has 125 entries (126 at peak, 138 added, 13 deleted).
% 0.19/0.53 ; Trie-index has 271 nodes (271 at peak, 301 added, 30 deleted).
% 0.19/0.53 ; Retrieved 294 generalization terms in 694 calls.
% 0.19/0.53 ; Retrieved 31 instance terms in 27 calls.
% 0.19/0.53 ; Retrieved 4,028 unifiable terms in 331 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 33 entries:
% 0.19/0.53 ; 4 with value 11 1 with value 19 8 with value 33
% 0.19/0.53 ; 7 with value 12 1 with value 25 1 with value 37
% 0.19/0.53 ; 1 with value 17 1 with value 29 8 with value 42
% 0.19/0.53 ; 1 with value 18
% 0.19/0.53 ; The agenda of rows to give has 34 entries:
% 0.19/0.53 ; 7 with value (4 8) 4 with value (4 16) 3 with value (4 29)
% 0.19/0.53 ; 5 with value (4 9) 1 with value (4 17) 2 with value (4 30)
% 0.19/0.53 ; 2 with value (4 10) 1 with value (4 21) 2 with value (4 32)
% 0.19/0.53 ; 3 with value (4 13) 2 with value (4 26) 2 with value (4 33)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.069 seconds of real time
% 0.19/0.53 0.058029 seconds of user run time
% 0.19/0.53 0.011092 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,722,024 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T21:24:44
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------