TSTP Solution File: SET962+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 05:13:42 EDT 2022
% Result : Theorem 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 7 unt; 3 nHn; 12 RR)
% Number of literals : 30 ( 7 equ; 10 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(5,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(6,axiom,
( in(ordered_pair(X,Y),cartesian_product2(Z,U))
| ~ in(X,Z)
| ~ in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(9,negated_conjecture,
cartesian_product2('SKOLEMAAAS3','SKOLEMAAAS3') = cartesian_product2('SKOLEMAAAS4','SKOLEMAAAS4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_zfmisc_1) ).
cnf(10,negated_conjecture,
'SKOLEMAAAS3' != 'SKOLEMAAAS4',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_zfmisc_1) ).
cnf(11,axiom,
( ~ in('SKOLEMAAAS5'(X,Y),X)
| ~ in('SKOLEMAAAS5'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
cnf(12,axiom,
( in('SKOLEMAAAS5'(X,Y),X)
| in('SKOLEMAAAS5'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
cnf(16,plain,
( ~ in(ordered_pair(X,Y),cartesian_product2('SKOLEMAAAS3','SKOLEMAAAS3'))
| in(Y,'SKOLEMAAAS4') ),
inference('PARAMODULATE',[status(thm)],[5,9,theory(equality)]) ).
cnf(17,plain,
( in('SKOLEMAAAS5'(X,Y),Y)
| X = Y
| in('SKOLEMAAAS5'(Z,U),U)
| Z = U
| in(ordered_pair('SKOLEMAAAS5'(X,Y),'SKOLEMAAAS5'(Z,U)),cartesian_product2(X,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[6,12,12]) ).
cnf(107,plain,
( in('SKOLEMAAAS5'('SKOLEMAAAS3',X),X)
| 'SKOLEMAAAS3' = X
| in('SKOLEMAAAS5'('SKOLEMAAAS3',X),'SKOLEMAAAS4') ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,17])]) ).
cnf(116,plain,
in('SKOLEMAAAS5'('SKOLEMAAAS3','SKOLEMAAAS4'),'SKOLEMAAAS4'),
inference('UR-RESOLVE',[status(thm)],[107,10]) ).
cnf(132,plain,
~ in('SKOLEMAAAS5'('SKOLEMAAAS3','SKOLEMAAAS4'),'SKOLEMAAAS3'),
inference('UR-RESOLVE',[status(thm)],[11,116,10]) ).
cnf(134,plain,
in(ordered_pair('SKOLEMAAAS5'('SKOLEMAAAS3','SKOLEMAAAS4'),'SKOLEMAAAS5'('SKOLEMAAAS3','SKOLEMAAAS4')),cartesian_product2('SKOLEMAAAS3','SKOLEMAAAS3')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,116,116]),9,theory(equality)]) ).
cnf(145,plain,
~ in(ordered_pair('SKOLEMAAAS5'('SKOLEMAAAS3','SKOLEMAAAS4'),X),cartesian_product2('SKOLEMAAAS3',Y)),
inference('UR-RESOLVE',[status(thm)],[4,132]) ).
cnf(146,plain,
$false,
inference('REWRITE',[status(thm)],[134,145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 18:47:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:47:11
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-09T18:47:11
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.42/0.59 ; Declaring unordered_pair to be commutative.
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.60 ||#
% 0.42/0.60
% 0.42/0.60 ; Summary of computation:
% 0.42/0.60 ; 245 formulas have been input or derived (from 27 formulas).
% 0.42/0.60 ; 146 (60%) were retained. Of these,
% 0.42/0.60 ; 2 ( 1%) were simplified or subsumed later,
% 0.42/0.60 ; 144 (99%) are still being kept.
% 0.42/0.60 ;
% 0.42/0.60 ; Run time in seconds excluding printing time:
% 0.42/0.60 ; 0.002 2% Read assertion file (1 call)
% 0.42/0.60 ; 0.001 1% Assert (9 calls)
% 0.42/0.60 ; 0.033 30% Process new row (226 calls)
% 0.42/0.60 ; 0.007 6% Resolution (52 calls)
% 0.42/0.60 ; 0.005 5% Paramodulation (26 calls)
% 0.42/0.60 ; 0.001 1% Factoring (3 calls)
% 0.42/0.60 ; 0.003 3% Condensing (61 calls)
% 0.42/0.60 ; 0.005 5% Forward subsumption (61 calls)
% 0.42/0.60 ; 0.001 1% Backward subsumption (46 calls)
% 0.42/0.60 ; 0.002 2% Clause clause subsumption (385 calls)
% 0.42/0.60 ; 0.013 12% Forward simplification (226 calls)
% 0.42/0.60 ; 0.008 7% Backward simplification (146 calls)
% 0.42/0.60 ; 0.008 7% Ordering (653 calls)
% 0.42/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.60 ; 0.000 0% Purity testing (1 call)
% 0.42/0.60 ; 0.020 18% Other
% 0.42/0.60 ; 0.109 Total
% 0.42/0.60 ; 0.112 Real time
% 0.42/0.60 ;
% 0.42/0.60 ; Term-hash-array has 531 terms in all.
% 0.42/0.60 ; Feature-vector-row-index has 45 entries (46 at peak, 46 added, 1 deleted).
% 0.42/0.60 ; Feature-vector-row-index has 181 nodes (181 at peak, 181 added, 0 deleted).
% 0.42/0.60 ; Retrieved 394 possibly forward subsuming rows in 61 calls.
% 0.42/0.60 ; Retrieved 65 possibly backward subsumed rows in 46 calls.
% 0.42/0.60 ; Path-index has 532 entries (535 at peak, 535 added, 3 deleted).
% 0.42/0.60 ; Path-index has 2,947 nodes (2,947 at peak, 2,947 added, 0 deleted).
% 0.42/0.60 ; Trie-index has 532 entries (535 at peak, 535 added, 3 deleted).
% 0.42/0.60 ; Trie-index has 9,480 nodes (9,487 at peak, 9,487 added, 7 deleted).
% 0.42/0.60 ; Retrieved 65 generalization terms in 892 calls.
% 0.42/0.60 ; Retrieved 101 instance terms in 99 calls.
% 0.42/0.60 ; Retrieved 929 unifiable terms in 220 calls.
% 0.42/0.60 ;
% 0.42/0.60 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.42/0.60 ; 1 with value 0
% 0.42/0.60 ; The agenda of rows to process has 1 entry:
% 0.42/0.60 ; 1 with value 17
% 0.42/0.60 ; The agenda of rows to give has 117 entries:
% 0.42/0.60 ; 1 with value (4 11) 3 with value (4 58) 1 with value (4 80)
% 0.42/0.60 ; 1 with value (4 17) 3 with value (4 59) 1 with value (4 81)
% 0.42/0.60 ; 1 with value (4 26) 2 with value (4 60) 4 with value (4 90)
% 0.42/0.60 ; 7 with value (4 29) 2 with value (4 62) 1 with value (4 91)
% 0.42/0.60 ; 1 with value (4 33) 1 with value (4 63) 1 with value (4 93)
% 0.42/0.60 ; 3 with value (4 37) 1 with value (4 65) 1 with value (4 95)
% 0.42/0.60 ; 1 with value (4 38) 1 with value (4 67) 8 with value (4 96)
% 0.42/0.60 ; 11 with value (4 39) 1 with value (4 69) 2 with value (4 97)
% 0.42/0.60 ; 2 with value (4 43) 1 with value (4 70) 1 with value (4 98)
% 0.42/0.60 ; 3 with value (4 45) 2 with value (4 72) 5 with value (4 99)
% 0.42/0.60 ; 4 with value (4 47) 6 with value (4 73) 1 with value (4 100)
% 0.42/0.60 ; 1 with value (4 48) 2 with value (4 75) 3 with value (4 101)
% 0.42/0.60 ; 1 with value (4 54) 5 with value (4 76) 3 with value (4 103)
% 0.42/0.60 ; 2 with value (4 55) 1 with value (4 77) 1 with value (4 104)
% 0.42/0.60 ; 5 with value (4 56) 2 with value (4 78) 1 with value (4 106)
% 0.42/0.60 ; 5 with value (4 57) 1 with value (4 79)
% 0.42/0.60 Evaluation took:
% 0.42/0.60 0.113 seconds of real time
% 0.42/0.60 0.107309 seconds of user run time
% 0.42/0.60 0.005052 seconds of system run time
% 0.42/0.60 0 calls to %EVAL
% 0.42/0.60 0 page faults and
% 0.42/0.60 7,157,280 bytes consed.
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:47:12
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 *
%------------------------------------------------------------------------------