TSTP Solution File: SET959+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:13:41 EDT 2022
% Result : Theorem 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 5 unt; 5 nHn; 15 RR)
% Number of literals : 33 ( 12 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,negated_conjecture,
( ~ in(X,'SKOLEMAAAV3')
| X = ordered_pair('SKOLEMAAAV5'(X),'SKOLEMAAAV6'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_zfmisc_1) ).
cnf(7,negated_conjecture,
( ~ in(X,'SKOLEMAAAV4')
| X = ordered_pair('SKOLEMAAAV7'(X),'SKOLEMAAAV8'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_zfmisc_1) ).
cnf(8,negated_conjecture,
( ~ in(ordered_pair(X,Y),'SKOLEMAAAV3')
| in(ordered_pair(X,Y),'SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_zfmisc_1) ).
cnf(9,negated_conjecture,
( in(ordered_pair(X,Y),'SKOLEMAAAV3')
| ~ in(ordered_pair(X,Y),'SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_zfmisc_1) ).
cnf(10,negated_conjecture,
'SKOLEMAAAV3' != 'SKOLEMAAAV4',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_zfmisc_1) ).
cnf(11,axiom,
( ~ in('SKOLEMAAAV9'(X,Y),X)
| ~ in('SKOLEMAAAV9'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
cnf(12,axiom,
( in('SKOLEMAAAV9'(X,Y),X)
| in('SKOLEMAAAV9'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
cnf(15,plain,
( in('SKOLEMAAAV9'('SKOLEMAAAV3',X),X)
| 'SKOLEMAAAV3' = X
| 'SKOLEMAAAV9'('SKOLEMAAAV3',X) = ordered_pair('SKOLEMAAAV5'('SKOLEMAAAV9'('SKOLEMAAAV3',X)),'SKOLEMAAAV6'('SKOLEMAAAV9'('SKOLEMAAAV3',X))) ),
inference('HYPERRESOLVE',[status(thm)],[6,12]) ).
cnf(41,plain,
( 'SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4') = ordered_pair('SKOLEMAAAV5'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV6'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')))
| 'SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4') = ordered_pair('SKOLEMAAAV7'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV8'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,15]),10]) ).
cnf(108,plain,
( 'SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4') = ordered_pair('SKOLEMAAAV5'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV6'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')))
| in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3')
| ~ in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[9,41,theory(equality)]) ).
cnf(117,plain,
( 'SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4') = ordered_pair('SKOLEMAAAV5'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV6'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')))
| in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[108,15]),10]) ).
cnf(118,plain,
'SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4') = ordered_pair('SKOLEMAAAV5'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV6'('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'))),
inference('HYPERRESOLVE',[status(thm)],[6,117]) ).
cnf(120,plain,
( in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3')
| ~ in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[9,118,theory(equality)]) ).
cnf(121,plain,
( ~ in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3')
| in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[8,118,theory(equality)]) ).
cnf(127,plain,
in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[120,12]),10]) ).
cnf(128,plain,
in('SKOLEMAAAV9'('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[121,127]) ).
cnf(129,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,128,10]),127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 17:06:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:06:37
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-10T17:06:37
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.41/0.58 ; Declaring unordered_pair to be commutative.
% 0.41/0.58
% 0.41/0.58 #||
% 0.41/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58 % SZS output start Refutation
% See solution above
% 0.41/0.58 ||#
% 0.41/0.58
% 0.41/0.58 ; Summary of computation:
% 0.41/0.58 ; 266 formulas have been input or derived (from 33 formulas).
% 0.41/0.58 ; 129 (48%) were retained. Of these,
% 0.41/0.58 ; 14 (11%) were simplified or subsumed later,
% 0.41/0.58 ; 115 (89%) are still being kept.
% 0.41/0.58 ;
% 0.41/0.58 ; Run time in seconds excluding printing time:
% 0.41/0.58 ; 0.002 2% Read assertion file (1 call)
% 0.41/0.58 ; 0.001 1% Assert (8 calls)
% 0.41/0.58 ; 0.034 34% Process new row (222 calls)
% 0.41/0.58 ; 0.006 6% Resolution (64 calls)
% 0.41/0.58 ; 0.003 3% Paramodulation (32 calls)
% 0.41/0.58 ; 0.000 0% Factoring (7 calls)
% 0.41/0.58 ; 0.000 0% Condensing (34 calls)
% 0.41/0.58 ; 0.005 5% Forward subsumption (34 calls)
% 0.41/0.58 ; 0.001 1% Backward subsumption (26 calls)
% 0.41/0.58 ; 0.000 0% Clause clause subsumption (30 calls)
% 0.41/0.58 ; 0.012 12% Forward simplification (219 calls)
% 0.41/0.58 ; 0.004 4% Backward simplification (129 calls)
% 0.41/0.58 ; 0.009 9% Ordering (384 calls)
% 0.41/0.58 ; 0.001 1% Sortal reasoning (32 calls)
% 0.41/0.58 ; 0.000 0% Purity testing (1 call)
% 0.41/0.58 ; 0.022 22% Other
% 0.41/0.58 ; 0.100 Total
% 0.41/0.58 ; 0.102 Real time
% 0.41/0.58 ;
% 0.41/0.58 ; Term-hash-array has 509 terms in all.
% 0.41/0.58 ; Feature-vector-row-index has 12 entries (23 at peak, 26 added, 14 deleted).
% 0.41/0.58 ; Feature-vector-row-index has 77 nodes (322 at peak, 366 added, 289 deleted).
% 0.41/0.58 ; Retrieved 29 possibly forward subsuming rows in 34 calls.
% 0.41/0.58 ; Retrieved 4 possibly backward subsumed rows in 26 calls.
% 0.41/0.58 ; Path-index has 475 entries (491 at peak, 519 added, 44 deleted).
% 0.41/0.58 ; Path-index has 3,804 nodes (3,804 at peak, 4,032 added, 228 deleted).
% 0.41/0.58 ; Trie-index has 475 entries (491 at peak, 519 added, 44 deleted).
% 0.41/0.58 ; Trie-index has 9,789 nodes (10,022 at peak, 10,419 added, 630 deleted).
% 0.41/0.58 ; Retrieved 72 generalization terms in 814 calls.
% 0.41/0.58 ; Retrieved 102 instance terms in 102 calls.
% 0.41/0.58 ; Retrieved 419 unifiable terms in 244 calls.
% 0.41/0.58 ;
% 0.41/0.58 ; The agenda of rows to process has 3 entries:
% 0.41/0.58 ; 1 with value 14 1 with value 24 1 with value 28
% 0.41/0.58 ; The agenda of rows to give has 87 entries:
% 0.41/0.58 ; 1 with value (4 14) 2 with value (4 62) 1 with value (4 81)
% 0.41/0.58 ; 1 with value (4 36) 1 with value (4 63) 4 with value (4 90)
% 0.41/0.58 ; 1 with value (4 38) 2 with value (4 65) 1 with value (4 91)
% 0.41/0.58 ; 1 with value (4 42) 1 with value (4 67) 1 with value (4 93)
% 0.41/0.58 ; 2 with value (4 43) 1 with value (4 69) 1 with value (4 95)
% 0.41/0.58 ; 3 with value (4 45) 1 with value (4 70) 8 with value (4 96)
% 0.41/0.58 ; 3 with value (4 47) 3 with value (4 72) 2 with value (4 97)
% 0.41/0.58 ; 1 with value (4 48) 5 with value (4 73) 1 with value (4 98)
% 0.41/0.58 ; 1 with value (4 54) 2 with value (4 75) 5 with value (4 99)
% 0.41/0.58 ; 2 with value (4 55) 5 with value (4 76) 1 with value (4 100)
% 0.41/0.58 ; 1 with value (4 56) 1 with value (4 77) 3 with value (4 101)
% 0.41/0.58 ; 1 with value (4 57) 2 with value (4 78) 3 with value (4 103)
% 0.41/0.58 ; 3 with value (4 58) 1 with value (4 79) 1 with value (4 104)
% 0.41/0.58 ; 3 with value (4 59) 1 with value (4 80) 1 with value (4 106)
% 0.41/0.58 ; 2 with value (4 60)
% 0.41/0.58 Evaluation took:
% 0.41/0.58 0.103 seconds of real time
% 0.41/0.58 0.088308 seconds of user run time
% 0.41/0.58 0.014216 seconds of system run time
% 0.41/0.58 0 calls to %EVAL
% 0.41/0.58 0 page faults and
% 0.41/0.58 7,579,040 bytes consed.
% 0.41/0.58 :PROOF-FOUND
% 0.41/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:06:37
% 0.41/0.58 :PROOF-FOUND
% 0.41/0.58 *
%------------------------------------------------------------------------------