TSTP Solution File: SWC029+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC029+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 21:56:28 EDT 2022
% Result : Theorem 0.43s 0.60s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 28 ( 13 unt; 2 nHn; 28 RR)
% Number of literals : 49 ( 21 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(83,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ssList(cons(Y,X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(91,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| nil != cons(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
cnf(172,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| nil != app(X,Y)
| nil = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAV49'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAV49' = 'SKOLEMAAAV51',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
( nil = 'SKOLEMAAAV50'
| nil != 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(195,plain,
( nil = 'SKOLEMAAAV48'
| nil != 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[194,192,193,theory(equality)]) ).
cnf(196,negated_conjecture,
( ssItem('SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(197,plain,
( ssItem('SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV49',nil) ),
inference('REWRITE',[status(thm)],[196,192,theory(equality)]) ).
cnf(198,negated_conjecture,
( ssList('SKOLEMAAAV53')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(199,plain,
( ssList('SKOLEMAAAV53')
| ~ neq('SKOLEMAAAV49',nil) ),
inference('REWRITE',[status(thm)],[198,192,theory(equality)]) ).
cnf(202,negated_conjecture,
( app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) = 'SKOLEMAAAV50'
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(203,plain,
( app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) = 'SKOLEMAAAV48'
| ~ neq('SKOLEMAAAV49',nil) ),
inference('REWRITE',[status(thm)],[202,192,193,theory(equality)]) ).
cnf(204,negated_conjecture,
( nil = 'SKOLEMAAAV49'
| nil = 'SKOLEMAAAV48' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(205,negated_conjecture,
( nil != 'SKOLEMAAAV48'
| nil != 'SKOLEMAAAV49' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(229,plain,
nil = 'SKOLEMAAAV48',
inference('HYPERRESOLVE',[status(thm)],[195,204]) ).
cnf(231,plain,
( app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) = nil
| ~ neq('SKOLEMAAAV49',nil) ),
inference('REWRITE',[status(thm)],[203,229,theory(equality)]) ).
cnf(232,plain,
nil != 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[205,229,theory(equality)]) ).
cnf(313,plain,
neq('SKOLEMAAAV49',nil),
inference('UR-RESOLVE',[status(thm)],[82,189,84,232]) ).
cnf(314,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[197,313]) ).
cnf(315,plain,
ssList('SKOLEMAAAV53'),
inference('REWRITE',[status(thm)],[199,313]) ).
cnf(317,plain,
app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) = nil,
inference('REWRITE',[status(thm)],[231,313]) ).
cnf(332,plain,
ssList(cons('SKOLEMAAAV52',nil)),
inference('HYPERRESOLVE',[status(thm)],[83,314,84]) ).
cnf(334,plain,
nil != cons('SKOLEMAAAV52',nil),
inference('UR-RESOLVE',[status(thm)],[91,314,84]) ).
cnf(441,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[172,317,theory(equality)]),334,332,315,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC029+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.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 Jun 12 22:31:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T22:31:57
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-12T22:31:57
% 0.43/0.60
% 0.43/0.60
% 0.43/0.60 #||
% 0.43/0.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.60 % SZS output start Refutation
% See solution above
% 0.43/0.60 ||#
% 0.43/0.60
% 0.43/0.60 ; Summary of computation:
% 0.43/0.60 ; 672 formulas have been input or derived (from 136 formulas).
% 0.43/0.60 ; 441 (66%) were retained. Of these,
% 0.43/0.60 ; 27 ( 6%) were simplified or subsumed later,
% 0.43/0.60 ; 414 (94%) are still being kept.
% 0.43/0.60 ;
% 0.43/0.60 ; Run time in seconds excluding printing time:
% 0.43/0.60 ; 0.026 19% Read assertion file (1 call)
% 0.43/0.60 ; 0.007 5% Assert (96 calls)
% 0.43/0.60 ; 0.027 20% Process new row (659 calls)
% 0.43/0.60 ; 0.020 15% Resolution (270 calls)
% 0.43/0.60 ; 0.000 0% Paramodulation (135 calls)
% 0.43/0.60 ; 0.000 0% Factoring (1 call)
% 0.43/0.60 ; 0.003 2% Condensing (276 calls)
% 0.43/0.60 ; 0.008 6% Forward subsumption (276 calls)
% 0.43/0.60 ; 0.004 3% Backward subsumption (275 calls)
% 0.43/0.61 ; 0.001 1% Clause clause subsumption (70 calls)
% 0.43/0.61 ; 0.009 7% Forward simplification (654 calls)
% 0.43/0.61 ; 0.001 1% Backward simplification (436 calls)
% 0.43/0.61 ; 0.003 2% Ordering (207 calls)
% 0.43/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.61 ; 0.000 0% Purity testing (1 call)
% 0.43/0.61 ; 0.027 20% Other
% 0.43/0.61 ; 0.136 Total
% 0.43/0.61 ; 0.138 Real time
% 0.43/0.61 ;
% 0.43/0.61 ; Term-hash-array has 706 terms in all.
% 0.43/0.61 ; Feature-vector-row-index has 267 entries (267 at peak, 275 added, 8 deleted).
% 0.43/0.61 ; Feature-vector-row-index has 826 nodes (826 at peak, 876 added, 50 deleted).
% 0.43/0.61 ; Retrieved 125 possibly forward subsuming rows in 276 calls.
% 0.43/0.61 ; Retrieved 96 possibly backward subsumed rows in 275 calls.
% 0.43/0.61 ; Path-index has 700 entries (700 at peak, 727 added, 27 deleted).
% 0.43/0.61 ; Path-index has 1,274 nodes (1,274 at peak, 1,310 added, 36 deleted).
% 0.43/0.61 ; Trie-index has 700 entries (700 at peak, 727 added, 27 deleted).
% 0.43/0.61 ; Trie-index has 1,420 nodes (1,420 at peak, 1,473 added, 53 deleted).
% 0.43/0.61 ; Retrieved 226 generalization terms in 1,037 calls.
% 0.43/0.61 ; Retrieved 160 instance terms in 160 calls.
% 0.43/0.61 ; Retrieved 35,769 unifiable terms in 2,048 calls.
% 0.43/0.61 ;
% 0.43/0.61 ; The agenda of input rows to give has 66 entries:
% 0.43/0.61 ; 1 with value 17 2 with value 23 1 with value 29
% 0.43/0.61 ; 7 with value 18 3 with value 24 1 with value 32
% 0.43/0.61 ; 2 with value 19 8 with value 25 1 with value 35
% 0.43/0.61 ; 11 with value 20 3 with value 26 3 with value 40
% 0.43/0.61 ; 9 with value 21 6 with value 27 3 with value 44
% 0.43/0.61 ; 5 with value 22
% 0.43/0.61 ; The agenda of rows to give has 218 entries:
% 0.43/0.61 ; 44 with value (4 5) 24 with value (4 8) 8 with value (4 11)
% 0.43/0.61 ; 4 with value (4 6) 76 with value (4 9) 2 with value (4 12)
% 0.43/0.61 ; 34 with value (4 7) 24 with value (4 10) 2 with value (4 15)
% 0.43/0.61 Evaluation took:
% 0.43/0.61 0.139 seconds of real time
% 0.43/0.61 0.127204 seconds of user run time
% 0.43/0.61 0.011233 seconds of system run time
% 0.43/0.61 0 calls to %EVAL
% 0.43/0.61 0 page faults and
% 0.43/0.61 9,335,552 bytes consed.
% 0.43/0.61 :PROOF-FOUND
% 0.43/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T22:31:57
% 0.43/0.61 :PROOF-FOUND
% 0.43/0.61 *
%------------------------------------------------------------------------------