TSTP Solution File: SET931+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET931+1 : TPTP v8.1.0. Released v3.2.0.
% 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 05:13:31 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 8 unt; 8 nHn; 14 RR)
% Number of literals : 53 ( 43 equ; 13 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ subset(X,unordered_pair(Y,Z))
| X = empty_set
| X = singleton(Y)
| X = singleton(Z)
| X = unordered_pair(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(3,axiom,
( subset(X,unordered_pair(Y,Z))
| X != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(4,axiom,
( subset(X,unordered_pair(Y,Z))
| X != singleton(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(8,axiom,
subset(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(9,axiom,
( set_difference(X,Y) != empty_set
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(10,axiom,
( set_difference(X,Y) = empty_set
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(11,negated_conjecture,
( set_difference('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')) != empty_set
| 'SKOLEMAAAV3' != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_zfmisc_1) ).
cnf(12,negated_conjecture,
( set_difference('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')) != empty_set
| 'SKOLEMAAAV3' != singleton('SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_zfmisc_1) ).
cnf(13,negated_conjecture,
( set_difference('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')) != empty_set
| 'SKOLEMAAAV3' != singleton('SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_zfmisc_1) ).
cnf(14,negated_conjecture,
( set_difference('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')) != empty_set
| 'SKOLEMAAAV3' != unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_zfmisc_1) ).
cnf(15,negated_conjecture,
( set_difference('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')) = empty_set
| 'SKOLEMAAAV3' = empty_set
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4')
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV5')
| 'SKOLEMAAAV3' = unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_zfmisc_1) ).
cnf(16,plain,
subset(empty_set,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality)]) ).
cnf(17,plain,
set_difference(X,X) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[10,8]) ).
cnf(18,plain,
subset(singleton(X),unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[4,theory(equality)]) ).
cnf(19,plain,
( 'SKOLEMAAAV3' = empty_set
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4')
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV5')
| 'SKOLEMAAAV3' = unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')
| subset('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[9,15]) ).
cnf(21,plain,
set_difference(empty_set,unordered_pair(X,Y)) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[10,16]) ).
cnf(22,plain,
set_difference(singleton(X),unordered_pair(X,Y)) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[10,18]) ).
cnf(23,plain,
( 'SKOLEMAAAV3' = empty_set
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4')
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV5')
| 'SKOLEMAAAV3' = unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[2,19]) ).
cnf(32,plain,
( 'SKOLEMAAAV3' = empty_set
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4')
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,23,theory(equality)]),17,theory(equality)]) ).
cnf(34,plain,
( 'SKOLEMAAAV3' = empty_set
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4')
| set_difference('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV5',X)) = empty_set ),
inference('PARAMODULATE',[status(thm)],[22,32,theory(equality)]) ).
cnf(37,plain,
( 'SKOLEMAAAV3' = empty_set
| 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[13,34,32]) ).
cnf(39,plain,
( 'SKOLEMAAAV3' = empty_set
| set_difference('SKOLEMAAAV3',unordered_pair('SKOLEMAAAV4',X)) = empty_set ),
inference('PARAMODULATE',[status(thm)],[22,37,theory(equality)]) ).
cnf(42,plain,
'SKOLEMAAAV3' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[12,39,37]) ).
cnf(43,plain,
$false,
inference('REWRITE',[status(thm)],[11,21,42,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET931+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n005.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 21:46:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T21:46:37
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-10T21:46:37
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.51 ; Declaring unordered_pair to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 118 formulas have been input or derived (from 29 formulas).
% 0.19/0.51 ; 43 (36%) were retained. Of these,
% 0.19/0.51 ; 26 (60%) were simplified or subsumed later,
% 0.19/0.51 ; 17 (40%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (8 calls)
% 0.19/0.51 ; 0.004 9% Process new row (80 calls)
% 0.19/0.51 ; 0.001 2% Resolution (56 calls)
% 0.19/0.51 ; 0.002 5% Paramodulation (28 calls)
% 0.19/0.51 ; 0.000 0% Factoring (9 calls)
% 0.19/0.51 ; 0.001 2% Condensing (40 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (40 calls)
% 0.19/0.51 ; 0.003 7% Backward subsumption (32 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (25 calls)
% 0.19/0.51 ; 0.003 7% Forward simplification (72 calls)
% 0.19/0.51 ; 0.001 2% Backward simplification (43 calls)
% 0.19/0.51 ; 0.002 5% Ordering (240 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.023 53% Other
% 0.19/0.51 ; 0.043 Total
% 0.19/0.51 ; 0.046 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 59 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 6 entries (19 at peak, 32 added, 26 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 19 nodes (137 at peak, 297 added, 278 deleted).
% 0.19/0.51 ; Retrieved 18 possibly forward subsuming rows in 40 calls.
% 0.19/0.51 ; Retrieved 20 possibly backward subsumed rows in 32 calls.
% 0.19/0.51 ; Path-index has 32 entries (52 at peak, 70 added, 38 deleted).
% 0.19/0.51 ; Path-index has 57 nodes (83 at peak, 95 added, 38 deleted).
% 0.19/0.51 ; Trie-index has 32 entries (52 at peak, 70 added, 38 deleted).
% 0.19/0.51 ; Trie-index has 68 nodes (111 at peak, 150 added, 82 deleted).
% 0.19/0.51 ; Retrieved 48 generalization terms in 50 calls.
% 0.19/0.51 ; Retrieved 13 instance terms in 10 calls.
% 0.19/0.51 ; Retrieved 542 unifiable terms in 193 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.19/0.51 ; 8 with value 0
% 0.19/0.51 ; The agenda of rows to process has 7 entries:
% 0.19/0.51 ; 1 with value 15 2 with value 21 1 with value 23
% 0.19/0.51 ; 1 with value 18 2 with value 22
% 0.19/0.51 ; The agenda of rows to give has 1 entry:
% 0.19/0.51 ; 1 with value (4 11)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.047 seconds of real time
% 0.19/0.51 0.041254 seconds of user run time
% 0.19/0.51 0.005734 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,812,328 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T21:46:37
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------