TSTP Solution File: SET902+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:13:14 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 11 unt; 4 nHn; 17 RR)
% Number of literals : 28 ( 23 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
set_union2(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
cnf(4,axiom,
singleton(X) != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_zfmisc_1) ).
cnf(5,axiom,
( ~ subset(X,singleton(Y))
| X = empty_set
| X = singleton(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
cnf(11,negated_conjecture,
singleton('SKOLEMAAAV3') = set_union2('SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1) ).
cnf(12,negated_conjecture,
( 'SKOLEMAAAV4' != singleton('SKOLEMAAAV3')
| 'SKOLEMAAAV5' != singleton('SKOLEMAAAV3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1) ).
cnf(13,negated_conjecture,
( 'SKOLEMAAAV4' != empty_set
| 'SKOLEMAAAV5' != singleton('SKOLEMAAAV3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1) ).
cnf(14,negated_conjecture,
( 'SKOLEMAAAV4' != singleton('SKOLEMAAAV3')
| 'SKOLEMAAAV5' != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1) ).
cnf(15,axiom,
subset(X,set_union2(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(16,plain,
subset('SKOLEMAAAV4',singleton('SKOLEMAAAV3')),
inference('PARAMODULATE',[status(thm)],[15,11,theory(equality)]) ).
cnf(17,plain,
subset('SKOLEMAAAV5',singleton('SKOLEMAAAV3')),
inference('PARAMODULATE',[status(thm)],[15,11,theory(equality)]) ).
cnf(22,plain,
( 'SKOLEMAAAV4' = empty_set
| 'SKOLEMAAAV4' = singleton('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[5,16]) ).
cnf(23,plain,
( 'SKOLEMAAAV5' = empty_set
| 'SKOLEMAAAV5' = singleton('SKOLEMAAAV3') ),
inference('HYPERRESOLVE',[status(thm)],[5,17]) ).
cnf(29,plain,
( 'SKOLEMAAAV4' = empty_set
| 'SKOLEMAAAV5' != empty_set ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,22,theory(equality)]),theory(equality)]) ).
cnf(33,plain,
( 'SKOLEMAAAV5' = empty_set
| 'SKOLEMAAAV4' = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[12,23,22]) ).
cnf(41,plain,
'SKOLEMAAAV4' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[29,33]) ).
cnf(42,plain,
singleton('SKOLEMAAAV3') = set_union2(empty_set,'SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[11,41,theory(equality)]) ).
cnf(43,plain,
'SKOLEMAAAV5' != singleton('SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[13,41,theory(equality)]) ).
cnf(44,plain,
'SKOLEMAAAV5' = empty_set,
inference('REWRITE',[status(thm)],[23,43]) ).
cnf(45,plain,
$false,
inference('REWRITE',[status(thm)],[42,4,3,44,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n013.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 : Sun Jul 10 02:15:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:15:44
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-10T02:15:44
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.49 ; Declaring set_union2 to be commutative.
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 106 formulas have been input or derived (from 30 formulas).
% 0.18/0.50 ; 45 (42%) were retained. Of these,
% 0.18/0.50 ; 27 (60%) were simplified or subsumed later,
% 0.18/0.50 ; 18 (40%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.003 8% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 3% Assert (12 calls)
% 0.18/0.50 ; 0.002 6% Process new row (75 calls)
% 0.18/0.50 ; 0.002 6% Resolution (58 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (29 calls)
% 0.18/0.50 ; 0.000 0% Factoring (5 calls)
% 0.18/0.50 ; 0.001 3% Condensing (28 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (28 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (26 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.18/0.50 ; 0.002 6% Forward simplification (75 calls)
% 0.18/0.50 ; 0.002 6% Backward simplification (45 calls)
% 0.18/0.50 ; 0.001 3% Ordering (96 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.022 61% Other
% 0.18/0.50 ; 0.036 Total
% 0.18/0.50 ; 0.038 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 46 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 4 entries (26 at peak, 26 added, 22 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 15 nodes (121 at peak, 121 added, 106 deleted).
% 0.18/0.50 ; Retrieved 3 possibly forward subsuming rows in 28 calls.
% 0.18/0.50 ; Retrieved 1 possibly backward subsumed row in 26 calls.
% 0.18/0.50 ; Path-index has 31 entries (50 at peak, 53 added, 22 deleted).
% 0.18/0.50 ; Path-index has 52 nodes (66 at peak, 71 added, 19 deleted).
% 0.18/0.50 ; Trie-index has 31 entries (50 at peak, 53 added, 22 deleted).
% 0.18/0.50 ; Trie-index has 69 nodes (99 at peak, 106 added, 37 deleted).
% 0.18/0.50 ; Retrieved 51 generalization terms in 127 calls.
% 0.18/0.50 ; Retrieved 20 instance terms in 18 calls.
% 0.18/0.50 ; Retrieved 278 unifiable terms in 163 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of backward simplifiable rows to process has 16 entries:
% 0.18/0.50 ; 16 with value 0
% 0.18/0.50 ; The agenda of rows to process has 8 entries:
% 0.18/0.50 ; 3 with value 12 1 with value 16 1 with value 20
% 0.18/0.50 ; 2 with value 14 1 with value 18
% 0.18/0.50 ; The agenda of rows to give has 3 entries:
% 0.18/0.50 ; 1 with value (4 6) 1 with value (4 8) 1 with value (4 15)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.038 seconds of real time
% 0.18/0.50 0.031146 seconds of user run time
% 0.18/0.50 0.007145 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,735,056 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T02:15:45
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------