TSTP Solution File: SET930+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 3 nHn; 8 RR)
% Number of literals : 20 ( 9 equ; 7 neg)
% Maximal clause size : 4 ( 1 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 : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( set_difference(unordered_pair(X,Y),Z) = singleton(X)
| in(X,Z)
| ~ in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(10,axiom,
( set_difference(unordered_pair(X,Y),Z) = unordered_pair(X,Y)
| in(X,Z)
| in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_zfmisc_1) ).
cnf(12,axiom,
( set_difference(unordered_pair(X,Y),Z) = empty_set
| ~ in(X,Z)
| ~ in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_zfmisc_1) ).
cnf(13,negated_conjecture,
set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_zfmisc_1) ).
cnf(14,negated_conjecture,
set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != singleton('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_zfmisc_1) ).
cnf(15,negated_conjecture,
set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != singleton('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_zfmisc_1) ).
cnf(16,negated_conjecture,
set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_zfmisc_1) ).
cnf(19,plain,
( set_difference(unordered_pair(X,Y),Z) = unordered_pair(X,Y)
| in(Y,Z)
| set_difference(unordered_pair(U,X),Z) = singleton(U)
| in(U,Z) ),
inference('HYPERRESOLVE',[status(thm)],[5,10]) ).
cnf(257,plain,
in('SKOLEMAAAV4','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[19,16,15]) ).
cnf(259,plain,
in('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[19,16,14]) ).
cnf(295,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,257,13]),259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 21:30:56 EDT 2022
% 0.14/0.34 % 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 2022-07-09T21:30:56
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-09T21:30:56
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.55/0.76 ; Declaring unordered_pair to be commutative.
% 0.55/0.76
% 0.55/0.76 #||
% 0.55/0.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.76 % SZS output start Refutation
% See solution above
% 0.55/0.76 ||#
% 0.55/0.76
% 0.55/0.76 ; Summary of computation:
% 0.55/0.76 ; 1051 formulas have been input or derived (from 82 formulas).
% 0.55/0.76 ; 295 (28%) were retained. Of these,
% 0.55/0.76 ; 49 (17%) were simplified or subsumed later,
% 0.55/0.76 ; 246 (83%) are still being kept.
% 0.55/0.76 ;
% 0.55/0.76 ; Run time in seconds excluding printing time:
% 0.55/0.76 ; 0.002 1% Read assertion file (1 call)
% 0.55/0.76 ; 0.000 0% Assert (9 calls)
% 0.55/0.76 ; 0.037 13% Process new row (858 calls)
% 0.55/0.76 ; 0.023 8% Resolution (162 calls)
% 0.55/0.76 ; 0.011 4% Paramodulation (81 calls)
% 0.55/0.76 ; 0.000 0% Factoring (20 calls)
% 0.55/0.76 ; 0.027 10% Condensing (582 calls)
% 0.55/0.76 ; 0.046 17% Forward subsumption (582 calls)
% 0.55/0.76 ; 0.008 3% Backward subsumption (241 calls)
% 0.55/0.76 ; 0.047 17% Clause clause subsumption (2,020 calls)
% 0.55/0.76 ; 0.033 12% Forward simplification (838 calls)
% 0.55/0.76 ; 0.007 3% Backward simplification (295 calls)
% 0.55/0.76 ; 0.006 2% Ordering (2,316 calls)
% 0.55/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.76 ; 0.000 0% Purity testing (1 call)
% 0.55/0.76 ; 0.031 11% Other
% 0.55/0.76 ; 0.278 Total
% 0.55/0.76 ; 0.280 Real time
% 0.55/0.76 ;
% 0.55/0.76 ; Term-hash-array has 528 terms in all.
% 0.55/0.76 ; Feature-vector-row-index has 193 entries (193 at peak, 241 added, 48 deleted).
% 0.55/0.76 ; Feature-vector-row-index has 1,966 nodes (2,267 at peak, 2,474 added, 508 deleted).
% 0.55/0.76 ; Retrieved 3,355 possibly forward subsuming rows in 582 calls.
% 0.55/0.76 ; Retrieved 165 possibly backward subsumed rows in 241 calls.
% 0.55/0.76 ; Path-index has 446 entries (447 at peak, 550 added, 104 deleted).
% 0.55/0.76 ; Path-index has 624 nodes (657 at peak, 678 added, 54 deleted).
% 0.55/0.76 ; Trie-index has 446 entries (447 at peak, 550 added, 104 deleted).
% 0.55/0.76 ; Trie-index has 1,792 nodes (1,962 at peak, 2,013 added, 221 deleted).
% 0.55/0.76 ; Retrieved 3,084 generalization terms in 5,902 calls.
% 0.55/0.76 ; Retrieved 99 instance terms in 53 calls.
% 0.55/0.76 ; Retrieved 6,210 unifiable terms in 874 calls.
% 0.55/0.76 ;
% 0.55/0.76 ; The agenda of rows to process has 41 entries:
% 0.55/0.76 ; 1 with value 7 2 with value 18 4 with value 29
% 0.55/0.76 ; 1 with value 9 6 with value 19 4 with value 30
% 0.55/0.76 ; 2 with value 13 1 with value 23 1 with value 34
% 0.55/0.76 ; 3 with value 14 1 with value 24 1 with value 35
% 0.55/0.76 ; 4 with value 15 1 with value 25 1 with value 37
% 0.55/0.76 ; 1 with value 16 2 with value 27 4 with value 40
% 0.55/0.76 ; 1 with value 17
% 0.55/0.76 ; The agenda of rows to give has 174 entries:
% 0.55/0.76 ; 1 with value (4 6) 12 with value (4 39) 3 with value (4 51)
% 0.55/0.76 ; 1 with value (4 7) 8 with value (4 40) 1 with value (4 52)
% 0.55/0.76 ; 1 with value (4 15) 6 with value (4 41) 4 with value (4 53)
% 0.55/0.76 ; 1 with value (4 28) 8 with value (4 42) 9 with value (4 54)
% 0.55/0.76 ; 1 with value (4 31) 9 with value (4 43) 3 with value (4 55)
% 0.55/0.76 ; 4 with value (4 32) 8 with value (4 44) 5 with value (4 56)
% 0.55/0.76 ; 10 with value (4 33) 4 with value (4 45) 2 with value (4 58)
% 0.55/0.76 ; 7 with value (4 34) 7 with value (4 46) 1 with value (4 59)
% 0.55/0.76 ; 2 with value (4 35) 8 with value (4 47) 2 with value (4 60)
% 0.55/0.76 ; 4 with value (4 36) 5 with value (4 48) 2 with value (4 61)
% 0.55/0.76 ; 5 with value (4 37) 7 with value (4 49) 2 with value (4 64)
% 0.55/0.76 ; 5 with value (4 38) 13 with value (4 50) 3 with value (4 66)
% 0.55/0.76 Evaluation took:
% 0.55/0.76 0.281 seconds of real time
% 0.55/0.76 0.262997 seconds of user run time
% 0.55/0.76 0.017685 seconds of system run time
% 0.55/0.76 [Run times include 0.006 seconds GC run time.]
% 0.55/0.76 0 calls to %EVAL
% 0.55/0.76 0 page faults and
% 0.55/0.76 21,305,008 bytes consed.
% 0.55/0.76 :PROOF-FOUND
% 0.55/0.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:30:57
% 0.55/0.76 :PROOF-FOUND
% 0.55/0.76 *
%------------------------------------------------------------------------------