TSTP Solution File: SET929+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:13:30 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 5 unt; 3 nHn; 14 RR)
% Number of literals : 25 ( 7 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( set_difference(X,Y) != empty_set
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(7,axiom,
( set_difference(X,Y) = empty_set
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(8,axiom,
( ~ subset(unordered_pair(X,Y),Z)
| in(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(9,axiom,
( subset(unordered_pair(X,Y),Z)
| ~ in(X,Z)
| ~ in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(10,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != empty_set
| ~ in('SKOLEMAAAV3','SKOLEMAAAV5')
| ~ in('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_zfmisc_1) ).
cnf(11,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = empty_set
| in('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_zfmisc_1) ).
cnf(12,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = empty_set
| in('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_zfmisc_1) ).
cnf(16,plain,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = empty_set
| subset(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[9,11,12]) ).
cnf(24,plain,
set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[7,16]) ).
cnf(25,plain,
( ~ in('SKOLEMAAAV3','SKOLEMAAAV5')
| ~ in('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[10,24,theory(equality)]) ).
cnf(26,plain,
subset(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[6,24]) ).
cnf(27,plain,
in('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[8,26]) ).
cnf(28,plain,
~ in('SKOLEMAAAV4','SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[25,27]) ).
cnf(29,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,26]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 21:43:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:43:52
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-09T21:43:52
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.52 ; Declaring unordered_pair to be commutative.
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 76 formulas have been input or derived (from 25 formulas).
% 0.20/0.52 ; 29 (38%) were retained. Of these,
% 0.20/0.52 ; 8 (28%) were simplified or subsumed later,
% 0.20/0.52 ; 21 (72%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (9 calls)
% 0.20/0.52 ; 0.002 6% Process new row (59 calls)
% 0.20/0.52 ; 0.004 12% Resolution (48 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (24 calls)
% 0.20/0.52 ; 0.000 0% Factoring (4 calls)
% 0.20/0.52 ; 0.001 3% Condensing (15 calls)
% 0.20/0.52 ; 0.001 3% Forward subsumption (15 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (13 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (5 calls)
% 0.20/0.52 ; 0.001 3% Forward simplification (57 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (29 calls)
% 0.20/0.52 ; 0.000 0% Ordering (47 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 65% Other
% 0.20/0.52 ; 0.034 Total
% 0.20/0.52 ; 0.036 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 37 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 5 entries (12 at peak, 13 added, 8 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 14 nodes (115 at peak, 121 added, 107 deleted).
% 0.20/0.52 ; Retrieved 5 possibly forward subsuming rows in 15 calls.
% 0.20/0.52 ; Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.20/0.52 ; Path-index has 37 entries (43 at peak, 47 added, 10 deleted).
% 0.20/0.52 ; Path-index has 73 nodes (73 at peak, 80 added, 7 deleted).
% 0.20/0.52 ; Trie-index has 37 entries (43 at peak, 47 added, 10 deleted).
% 0.20/0.52 ; Trie-index has 91 nodes (104 at peak, 113 added, 22 deleted).
% 0.20/0.52 ; Retrieved 45 generalization terms in 56 calls.
% 0.20/0.52 ; Retrieved 17 instance terms in 15 calls.
% 0.20/0.52 ; Retrieved 284 unifiable terms in 154 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 3 entries:
% 0.20/0.52 ; 2 with value 8 1 with value 14
% 0.20/0.52 ; The agenda of input rows to give has 1 entry:
% 0.20/0.52 ; 1 with value 4
% 0.20/0.52 ; The agenda of rows to give has 1 entry:
% 0.20/0.52 ; 1 with value (4 8)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.037 seconds of real time
% 0.20/0.52 0.033607 seconds of user run time
% 0.20/0.52 0.002984 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,566,992 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:43:52
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------