%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU131+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:19:20 EDT 2022
% Result : Theorem 0.66s 0.91s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 7 unt; 12 nHn; 16 RR)
% Number of literals : 53 ( 17 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 5 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('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(5,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(6,axiom,
( X != set_difference(Y,Z)
| ~ in(U,X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(7,axiom,
( X != set_difference(Y,Z)
| in(U,X)
| ~ in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(8,axiom,
( X = set_difference(Y,Z)
| ~ in('SKOLEMAAAV2'(X,Y,Z),X)
| ~ in('SKOLEMAAAV2'(X,Y,Z),Y)
| in('SKOLEMAAAV2'(X,Y,Z),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(9,axiom,
( X = set_difference(Y,Z)
| in('SKOLEMAAAV2'(X,Y,Z),X)
| in('SKOLEMAAAV2'(X,Y,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(11,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(12,negated_conjecture,
( set_difference('SKOLEMAAAV3','SKOLEMAAAV4') != empty_set
| ~ subset('SKOLEMAAAV3','SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_xboole_1) ).
cnf(13,negated_conjecture,
( set_difference('SKOLEMAAAV3','SKOLEMAAAV4') = empty_set
| subset('SKOLEMAAAV3','SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_xboole_1) ).
cnf(18,axiom,
( in('SKOLEMAAAV7'(X,Y),X)
| in('SKOLEMAAAV7'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
cnf(22,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(25,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[22,11]) ).
cnf(28,plain,
( in('SKOLEMAAAV7'(empty_set,X),X)
| X = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[22,18,11]) ).
cnf(40,plain,
( X = set_difference(X,Y)
| in('SKOLEMAAAV2'(X,X,Y),X) ),
inference('FACTOR',[status(thm)],[9]) ).
cnf(49,plain,
( 'SKOLEMAAAV3' = set_difference('SKOLEMAAAV3',X)
| set_difference('SKOLEMAAAV3','SKOLEMAAAV4') = empty_set
| in('SKOLEMAAAV2'('SKOLEMAAAV3','SKOLEMAAAV3',X),'SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[2,40,13]) ).
cnf(54,plain,
( X = set_difference(X,Y)
| in('SKOLEMAAAV2'(X,X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[8,9,9]) ).
cnf(56,plain,
( empty_set = set_difference(X,Y)
| in('SKOLEMAAAV7'(empty_set,set_difference(X,Y)),X) ),
inference('HYPERRESOLVE',[status(thm)],[5,28,theory(equality)]) ).
cnf(191,plain,
( 'SKOLEMAAAV3' = set_difference('SKOLEMAAAV3',set_difference(X,'SKOLEMAAAV4'))
| set_difference('SKOLEMAAAV3','SKOLEMAAAV4') = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[6,49,54,theory(equality)]) ).
cnf(194,plain,
set_difference('SKOLEMAAAV3','SKOLEMAAAV4') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[6,191,56,28]) ).
cnf(195,plain,
~ subset('SKOLEMAAAV3','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[12,194,theory(equality)]) ).
cnf(196,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[195,3]) ).
cnf(197,plain,
~ in('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[4,195]) ).
cnf(215,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,197,25,196]),194,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU131+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 07:09:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T07:09:08
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-19T07:09:08
% 0.19/0.49
% 0.66/0.91 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.66/0.91
% 0.66/0.91 #||
% 0.66/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.91 % SZS output start Refutation
% See solution above
% 0.66/0.91 ||#
% 0.66/0.91
% 0.66/0.91 ; Summary of computation:
% 0.66/0.91 ; 5477 formulas have been input or derived (from 69 formulas).
% 0.66/0.91 ; 215 ( 4%) were retained. Of these,
% 0.66/0.91 ; 46 (21%) were simplified or subsumed later,
% 0.66/0.91 ; 169 (79%) are still being kept.
% 0.66/0.91 ;
% 0.66/0.91 ; Run time in seconds excluding printing time:
% 0.66/0.91 ; 0.003 1% Read assertion file (1 call)
% 0.66/0.91 ; 0.001 0% Assert (16 calls)
% 0.66/0.91 ; 0.033 8% Process new row (4,377 calls)
% 0.66/0.91 ; 0.122 28% Resolution (136 calls)
% 0.66/0.91 ; 0.004 1% Paramodulation (68 calls)
% 0.66/0.91 ; 0.000 0% Factoring (34 calls)
% 0.66/0.91 ; 0.026 6% Condensing (2,374 calls)
% 0.66/0.91 ; 0.054 12% Forward subsumption (2,374 calls)
% 0.66/0.91 ; 0.000 0% Backward subsumption (183 calls)
% 0.66/0.91 ; 0.021 5% Clause clause subsumption (5,083 calls)
% 0.66/0.91 ; 0.087 20% Forward simplification (4,074 calls)
% 0.66/0.91 ; 0.003 1% Backward simplification (215 calls)
% 0.66/0.91 ; 0.038 9% Ordering (7,387 calls)
% 0.66/0.91 ; 0.000 0% Sortal reasoning (32 calls)
% 0.66/0.91 ; 0.000 0% Purity testing (1 call)
% 0.66/0.91 ; 0.044 10% Other
% 0.66/0.91 ; 0.436 Total
% 0.66/0.91 ; 0.439 Real time
% 0.66/0.91 ;
% 0.66/0.91 ; Term-hash-array has 352 terms in all.
% 0.66/0.91 ; Feature-vector-row-index has 138 entries (180 at peak, 183 added, 45 deleted).
% 0.66/0.91 ; Feature-vector-row-index has 354 nodes (649 at peak, 663 added, 309 deleted).
% 0.66/0.91 ; Retrieved 9,737 possibly forward subsuming rows in 2,374 calls.
% 0.66/0.91 ; Retrieved 234 possibly backward subsumed rows in 183 calls.
% 0.66/0.91 ; Path-index has 276 entries (334 at peak, 371 added, 95 deleted).
% 0.66/0.91 ; Path-index has 300 nodes (307 at peak, 340 added, 40 deleted).
% 0.66/0.91 ; Trie-index has 276 entries (334 at peak, 371 added, 95 deleted).
% 0.66/0.91 ; Trie-index has 451 nodes (547 at peak, 615 added, 164 deleted).
% 0.66/0.91 ; Retrieved 13,470 generalization terms in 16,182 calls.
% 0.66/0.91 ; Retrieved 49 instance terms in 31 calls.
% 0.66/0.91 ; Retrieved 59,690 unifiable terms in 2,542 calls.
% 0.66/0.91 ;
% 0.66/0.91 ; The agenda of rows to process has 13 entries:
% 0.66/0.91 ; 1 with value 9 3 with value 11 3 with value 15
% 0.66/0.91 ; 2 with value 10 2 with value 14 2 with value 20
% 0.66/0.91 ; The agenda of rows to give has 110 entries:
% 0.66/0.91 ; 2 with value (4 6) 3 with value (4 23) 10 with value (4 30)
% 0.66/0.91 ; 3 with value (4 9) 9 with value (4 24) 9 with value (4 31)
% 0.66/0.91 ; 4 with value (4 10) 3 with value (4 25) 12 with value (4 32)
% 0.66/0.91 ; 3 with value (4 11) 7 with value (4 26) 9 with value (4 33)
% 0.66/0.91 ; 1 with value (4 14) 8 with value (4 27) 6 with value (4 34)
% 0.66/0.91 ; 1 with value (4 16) 12 with value (4 28) 1 with value (4 35)
% 0.66/0.91 ; 1 with value (4 18) 6 with value (4 29)
% 0.66/0.91 Evaluation took:
% 0.66/0.91 0.439 seconds of real time
% 0.66/0.91 0.374078 seconds of user run time
% 0.66/0.91 0.064761 seconds of system run time
% 0.66/0.91 [Run times include 0.009 seconds GC run time.]
% 0.66/0.91 0 calls to %EVAL
% 0.66/0.91 0 page faults and
% 0.66/0.91 30,100,824 bytes consed.
% 0.66/0.91 :PROOF-FOUND
% 0.66/0.92 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T07:09:09
% 0.66/0.92 :PROOF-FOUND
% 0.66/0.92 *
%------------------------------------------------------------------------------