%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU145+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:19:28 EDT 2022
% Result : Theorem 1.23s 1.42s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 2 nHn; 13 RR)
% Number of literals : 23 ( 4 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(6,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(7,axiom,
( subset(X,Y)
| in('SKOLEMAAAW2'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(8,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAW2'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(11,axiom,
( X != set_difference(Y,Z)
| in(U,X)
| ~ in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(15,negated_conjecture,
subset('SKOLEMAAAW4','SKOLEMAAAW5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(16,negated_conjecture,
~ in('SKOLEMAAAW6','SKOLEMAAAW4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(17,negated_conjecture,
~ subset('SKOLEMAAAW4',set_difference('SKOLEMAAAW5',singleton('SKOLEMAAAW6'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(19,plain,
in('SKOLEMAAAW2'('SKOLEMAAAW4',set_difference('SKOLEMAAAW5',singleton('SKOLEMAAAW6'))),'SKOLEMAAAW4'),
inference('HYPERRESOLVE',[status(thm)],[17,7]) ).
cnf(20,plain,
~ in('SKOLEMAAAW2'('SKOLEMAAAW4',set_difference('SKOLEMAAAW5',singleton('SKOLEMAAAW6'))),set_difference('SKOLEMAAAW5',singleton('SKOLEMAAAW6'))),
inference('UR-RESOLVE',[status(thm)],[8,17]) ).
cnf(265,plain,
in('SKOLEMAAAW2'('SKOLEMAAAW4',set_difference('SKOLEMAAAW5',singleton('SKOLEMAAAW6'))),'SKOLEMAAAW5'),
inference('HYPERRESOLVE',[status(thm)],[6,19,15]) ).
cnf(2087,plain,
in('SKOLEMAAAW2'('SKOLEMAAAW4',set_difference('SKOLEMAAAW5',singleton('SKOLEMAAAW6'))),singleton('SKOLEMAAAW6')),
inference('UR-RESOLVE',[status(thm)],[11,20,265,theory(equality)]) ).
cnf(4083,plain,
'SKOLEMAAAW2'('SKOLEMAAAW4',set_difference('SKOLEMAAAW5',singleton('SKOLEMAAAW6'))) = 'SKOLEMAAAW6',
inference('HYPERRESOLVE',[status(thm)],[2,2087,theory(equality)]) ).
cnf(4084,plain,
$false,
inference('REWRITE',[status(thm)],[19,16,4083,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU145+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 08:04:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:04:19
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-19T08:04:19
% 1.23/1.42
% 1.23/1.42
% 1.23/1.42 #||
% 1.23/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.23/1.42 % SZS output start Refutation
% See solution above
% 1.31/1.47 ||#
% 1.31/1.47
% 1.31/1.47 ; Summary of computation:
% 1.31/1.47 ; 12815 formulas have been input or derived (from 233 formulas).
% 1.31/1.47 ; 4084 (32%) were retained. Of these,
% 1.31/1.47 ; 701 (17%) were simplified or subsumed later,
% 1.31/1.47 ; 3383 (83%) are still being kept.
% 1.31/1.47 ;
% 1.31/1.47 ; Run time in seconds excluding printing time:
% 1.31/1.47 ; 0.002 0% Read assertion file (1 call)
% 1.31/1.47 ; 0.001 0% Assert (8 calls)
% 1.31/1.47 ; 0.273 30% Process new row (11,406 calls)
% 1.31/1.47 ; 0.208 23% Resolution (464 calls)
% 1.31/1.47 ; 0.011 1% Paramodulation (232 calls)
% 1.31/1.47 ; 0.000 0% Factoring (9 calls)
% 1.31/1.47 ; 0.006 1% Condensing (564 calls)
% 1.31/1.47 ; 0.017 2% Forward subsumption (564 calls)
% 1.31/1.47 ; 0.003 0% Backward subsumption (104 calls)
% 1.31/1.47 ; 0.004 0% Clause clause subsumption (1,233 calls)
% 1.31/1.47 ; 0.205 22% Forward simplification (11,240 calls)
% 1.31/1.47 ; 0.134 15% Backward simplification (4,084 calls)
% 1.31/1.47 ; 0.006 1% Ordering (3,251 calls)
% 1.31/1.47 ; 0.000 0% Sortal reasoning (32 calls)
% 1.31/1.47 ; 0.000 0% Purity testing (1 call)
% 1.31/1.47 ; 0.052 6% Other
% 1.31/1.47 ; 0.922 Total
% 1.31/1.47 ; 0.973 Real time
% 1.31/1.47 ;
% 1.31/1.47 ; Term-hash-array has 5,964 terms in all.
% 1.31/1.47 ; Feature-vector-row-index has 98 entries (102 at peak, 104 added, 6 deleted).
% 1.31/1.47 ; Feature-vector-row-index has 456 nodes (503 at peak, 522 added, 66 deleted).
% 1.31/1.47 ; Retrieved 2,148 possibly forward subsuming rows in 564 calls.
% 1.31/1.47 ; Retrieved 107 possibly backward subsumed rows in 104 calls.
% 1.31/1.47 ; Path-index has 5,055 entries (5,375 at peak, 5,987 added, 932 deleted).
% 1.31/1.47 ; Path-index has 4,126 nodes (4,260 at peak, 4,404 added, 278 deleted).
% 1.31/1.47 ; Trie-index has 5,055 entries (5,375 at peak, 5,987 added, 932 deleted).
% 1.31/1.47 ; Trie-index has 18,594 nodes (20,330 at peak, 22,367 added, 3,773 deleted).
% 1.31/1.47 ; Retrieved 30,697 generalization terms in 36,630 calls.
% 1.31/1.47 ; Retrieved 6,590 instance terms in 3,979 calls.
% 1.31/1.47 ; Retrieved 186,941 unifiable terms in 8,365 calls.
% 1.31/1.47 ;
% 1.31/1.47 ; The agenda of backward simplifiable rows to process has 263 entries:
% 1.31/1.47 ; 263 with value 0
% 1.31/1.47 ; The agenda of rows to process has 113 entries:
% 1.31/1.47 ; 2 with value 16 6 with value 27 5 with value 37
% 1.31/1.47 ; 7 with value 17 5 with value 28 2 with value 38
% 1.31/1.47 ; 1 with value 18 4 with value 29 3 with value 39
% 1.31/1.47 ; 5 with value 19 6 with value 30 1 with value 40
% 1.31/1.47 ; 1 with value 20 6 with value 31 1 with value 41
% 1.31/1.47 ; 3 with value 21 4 with value 32 1 with value 43
% 1.31/1.47 ; 9 with value 22 7 with value 33 3 with value 46
% 1.31/1.47 ; 2 with value 23 4 with value 34 1 with value 47
% 1.31/1.47 ; 2 with value 24 5 with value 35 1 with value 49
% 1.31/1.47 ; 5 with value 25 4 with value 36 2 with value 52
% 1.31/1.47 ; 5 with value 26
% 1.31/1.47 ; The agenda of rows to give has 3168 entries:
% 1.31/1.47 ; 3 with value (4 12) 176 with value (4 22) 194 with value (4 30)
% 1.31/1.47 ; 3 with value (4 13) 259 with value (4 23) 138 with value (4 31)
% 1.31/1.47 ; 1 with value (4 15) 233 with value (4 24) 106 with value (4 32)
% 1.31/1.47 ; 16 with value (4 16) 254 with value (4 25) 57 with value (4 33)
% 1.31/1.47 ; 115 with value (4 17) 246 with value (4 26) 35 with value (4 34)
% 1.31/1.47 ; 121 with value (4 18) 242 with value (4 27) 15 with value (4 35)
% 1.31/1.47 ; 163 with value (4 19) 221 with value (4 28) 5 with value (4 36)
% 1.31/1.47 ; 176 with value (4 20) 223 with value (4 29) 2 with value (4 37)
% 1.31/1.47 ; 164 with value (4 21)
% 1.31/1.47 Evaluation took:
% 1.31/1.47 0.973 seconds of real time
% 1.31/1.47 0.895612 seconds of user run time
% 1.31/1.47 0.077732 seconds of system run time
% 1.31/1.47 [Run times include 0.116 seconds GC run time.]
% 1.31/1.47 0 calls to %EVAL
% 1.31/1.47 0 page faults and
% 1.31/1.47 63,590,632 bytes consed.
% 1.31/1.47 :PROOF-FOUND
% 1.31/1.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:04:20
% 1.31/1.47 :PROOF-FOUND
% 1.31/1.47 *
%------------------------------------------------------------------------------