%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% 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 14:19:06 EDT 2022
% Result : Theorem 0.38s 0.59s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 13 ( 1 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
symmetric_difference(X,Y) = set_union2(set_difference(X,Y),set_difference(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_xboole_0) ).
cnf(16,axiom,
( ~ finite(X)
| finite(set_difference(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_finset_1) ).
cnf(27,axiom,
( ~ finite(X)
| ~ finite(Y)
| finite(set_union2(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finset_1) ).
cnf(93,negated_conjecture,
finite('SKOLEMAAAV27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finset_1) ).
cnf(94,negated_conjecture,
finite('SKOLEMAAAV28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finset_1) ).
cnf(95,negated_conjecture,
~ finite(symmetric_difference('SKOLEMAAAV27','SKOLEMAAAV28')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finset_1) ).
cnf(96,plain,
~ finite(set_union2(set_difference('SKOLEMAAAV27','SKOLEMAAAV28'),set_difference('SKOLEMAAAV28','SKOLEMAAAV27'))),
inference('REWRITE',[status(thm)],[95,14,theory(equality)]) ).
cnf(163,plain,
finite(set_difference('SKOLEMAAAV28',X)),
inference('HYPERRESOLVE',[status(thm)],[16,94]) ).
cnf(164,plain,
finite(set_difference('SKOLEMAAAV27',X)),
inference('HYPERRESOLVE',[status(thm)],[16,93]) ).
cnf(578,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,163,96]),164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU097+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.11 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 22:58:28 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.19/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T22:58:28
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T22:58:28
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.19/0.47 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.47 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.48 ; Recognized right identity assertion (= (|symmetric_difference| ?X |empty_set|) ?X).
% 0.19/0.48 ; Declaring set_union2 to be commutative.
% 0.19/0.48 WARNING:
% 0.19/0.48 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 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.
% 0.19/0.48 WARNING:
% 0.19/0.48 |function_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |being_limit_ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |transfinite_sequence| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |ordinal_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.59 ; Declaring symmetric_difference to be commutative.
% 0.38/0.59
% 0.38/0.59 #||
% 0.38/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.59 % SZS output start Refutation
% See solution above
% 0.38/0.59 ||#
% 0.38/0.59
% 0.38/0.59 ; Summary of computation:
% 0.38/0.59 ; 1571 formulas have been input or derived (from 162 formulas).
% 0.38/0.59 ; 578 (37%) were retained. Of these,
% 0.38/0.59 ; 46 ( 8%) were simplified or subsumed later,
% 0.38/0.59 ; 532 (92%) are still being kept.
% 0.38/0.59 ;
% 0.38/0.59 ; Run time in seconds:
% 0.38/0.59 ; 0.013 10% Read assertion file (1 call)
% 0.38/0.59 ; 0.004 3% Assert (70 calls)
% 0.38/0.59 ; 0.038 29% Process new row (1,471 calls)
% 0.38/0.59 ; 0.024 18% Resolution (322 calls)
% 0.38/0.59 ; 0.000 0% Paramodulation (161 calls)
% 0.38/0.59 ; 0.000 0% Factoring (3 calls)
% 0.38/0.59 ; 0.001 1% Condensing (76 calls)
% 0.38/0.59 ; 0.001 1% Forward subsumption (76 calls)
% 0.38/0.59 ; 0.001 1% Backward subsumption (54 calls)
% 0.38/0.59 ; 0.000 0% Clause clause subsumption (29 calls)
% 0.38/0.59 ; 0.006 5% Forward simplification (1,432 calls)
% 0.38/0.59 ; 0.007 5% Backward simplification (577 calls)
% 0.38/0.59 ; 0.000 0% Ordering (125 calls)
% 0.38/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.59 ; 0.001 1% Purity testing (1 call)
% 0.38/0.59 ; 0.036 27% Other
% 0.38/0.59 ; 0.132 Total
% 0.38/0.59 ; 0.138 Real time
% 0.38/0.59 ;
% 0.38/0.59 ; Term-hash-array has 936 terms in all.
% 0.38/0.59 ; Feature-vector-row-index has 54 entries (54 at peak, 54 added, 0 deleted).
% 0.38/0.59 ; Feature-vector-row-index has 147 nodes (147 at peak, 147 added, 0 deleted).
% 0.38/0.59 ; Retrieved 30 possibly forward subsuming rows in 76 calls.
% 0.38/0.59 ; Retrieved 5 possibly backward subsumed rows in 54 calls.
% 0.38/0.59 ; Path-index has 916 entries (916 at peak, 961 added, 45 deleted).
% 0.38/0.59 ; Path-index has 810 nodes (810 at peak, 855 added, 45 deleted).
% 0.38/0.59 ; Trie-index has 916 entries (916 at peak, 961 added, 45 deleted).
% 0.38/0.59 ; Trie-index has 1,384 nodes (1,384 at peak, 1,448 added, 64 deleted).
% 0.38/0.59 ; Retrieved 1,263 generalization terms in 2,096 calls.
% 0.38/0.59 ; Retrieved 546 instance terms in 522 calls.
% 0.38/0.59 ; Retrieved 9,141 unifiable terms in 1,851 calls.
% 0.38/0.59 ;
% 0.38/0.59 ; The agenda of rows to process has 57 entries:
% 0.38/0.59 ; 18 with value 11 1 with value 13 2 with value 16
% 0.38/0.59 ; 34 with value 12 1 with value 15 1 with value 17
% 0.38/0.59 ; The agenda of rows to give has 394 entries:
% 0.38/0.59 ; 139 with value (4 7) 54 with value (4 11) 11 with value (4 14)
% 0.38/0.59 ; 21 with value (4 8) 33 with value (4 12) 1 with value (4 15)
% 0.38/0.59 ; 74 with value (4 9) 1 with value (4 13) 10 with value (4 16)
% 0.38/0.59 ; 50 with value (4 10)
% 0.38/0.59 Evaluation took:
% 0.38/0.59 0.139 seconds of real time
% 0.38/0.59 0.114993 seconds of user run time
% 0.38/0.59 0.017988 seconds of system run time
% 0.38/0.59 0 calls to %EVAL
% 0.38/0.59 0 page faults and
% 0.38/0.59 6,463,880 bytes consed.
% 0.38/0.59 :PROOF-FOUND
% 0.38/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T22:58:28
% 0.38/0.59 :PROOF-FOUND
% 0.38/0.59 *
%------------------------------------------------------------------------------