TSTP Solution File: SWC014+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC014+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 21:56:23 EDT 2022
% Result : Theorem 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 15 unt; 1 nHn; 27 RR)
% Number of literals : 60 ( 26 equ; 38 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(81,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ neq(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(95,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| tl(cons(Y,X)) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
cnf(170,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| cons(Y,X) = app(cons(Y,nil),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAV49'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAV49' = 'SKOLEMAAAV51',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
neq('SKOLEMAAAV49',nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| tl('SKOLEMAAAV49') != Y
| app('SKOLEMAAAV48',Y) != X
| ~ neq(nil,'SKOLEMAAAV49')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(196,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| tl('SKOLEMAAAV49') != Y
| app('SKOLEMAAAV48',Y) != X
| ~ neq(nil,'SKOLEMAAAV49') ),
inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).
cnf(197,negated_conjecture,
( ssItem('SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).
cnf(199,negated_conjecture,
( ssList('SKOLEMAAAV53')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
ssList('SKOLEMAAAV53'),
inference('REWRITE',[status(thm)],[199,194,192,theory(equality)]) ).
cnf(201,negated_conjecture,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(202,plain,
cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[201,194,192,193,theory(equality)]) ).
cnf(203,negated_conjecture,
( app(cons('SKOLEMAAAV52',nil),'SKOLEMAAAV53') = 'SKOLEMAAAV51'
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(204,plain,
app('SKOLEMAAAV48','SKOLEMAAAV53') = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[203,194,192,202,theory(equality)]) ).
cnf(415,plain,
nil != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).
cnf(433,plain,
neq(nil,'SKOLEMAAAV49'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,84,189]),415]) ).
cnf(434,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| tl('SKOLEMAAAV49') != Y
| app('SKOLEMAAAV48',Y) != X ),
inference('REWRITE',[status(thm)],[196,433]) ).
cnf(458,plain,
tl(cons('SKOLEMAAAV52','SKOLEMAAAV53')) = 'SKOLEMAAAV53',
inference('HYPERRESOLVE',[status(thm)],[95,200,198]) ).
cnf(478,plain,
cons('SKOLEMAAAV52','SKOLEMAAAV53') = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[170,200,198]),204,202,theory(equality)]) ).
cnf(485,plain,
tl('SKOLEMAAAV49') = 'SKOLEMAAAV53',
inference('REWRITE',[status(thm)],[458,478,theory(equality)]) ).
cnf(486,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' != X
| ~ ssList(Y)
| 'SKOLEMAAAV53' != Y
| app('SKOLEMAAAV48',Y) != X ),
inference('REWRITE',[status(thm)],[434,485,theory(equality)]) ).
cnf(558,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[486,189,200,204,theory(equality),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC014+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 12 22:00:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-12T22:00:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-12T22:00:38
% 0.48/0.65
% 0.48/0.65
% 0.48/0.65 #||
% 0.48/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.65 % SZS output start Refutation
% See solution above
% 0.48/0.66 ||#
% 0.48/0.66
% 0.48/0.66 ; Summary of computation:
% 0.48/0.66 ; 886 formulas have been input or derived (from 162 formulas).
% 0.48/0.66 ; 558 (63%) were retained. Of these,
% 0.48/0.66 ; 82 (15%) were simplified or subsumed later,
% 0.48/0.66 ; 476 (85%) are still being kept.
% 0.48/0.66 ;
% 0.48/0.66 ; Run time in seconds excluding printing time:
% 0.48/0.66 ; 0.027 14% Read assertion file (1 call)
% 0.48/0.66 ; 0.009 5% Assert (96 calls)
% 0.48/0.66 ; 0.029 16% Process new row (866 calls)
% 0.48/0.66 ; 0.060 32% Resolution (322 calls)
% 0.48/0.66 ; 0.001 1% Paramodulation (161 calls)
% 0.48/0.66 ; 0.007 4% Condensing (293 calls)
% 0.48/0.66 ; 0.004 2% Forward subsumption (293 calls)
% 0.48/0.66 ; 0.005 3% Backward subsumption (292 calls)
% 0.48/0.66 ; 0.001 1% Clause clause subsumption (77 calls)
% 0.48/0.66 ; 0.010 5% Forward simplification (866 calls)
% 0.48/0.66 ; 0.008 4% Backward simplification (553 calls)
% 0.48/0.66 ; 0.000 0% Ordering (302 calls)
% 0.48/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.66 ; 0.001 1% Purity testing (1 call)
% 0.48/0.66 ; 0.025 13% Other
% 0.48/0.66 ; 0.187 Total
% 0.48/0.66 ; 0.197 Real time
% 0.48/0.66 ;
% 0.48/0.66 ; Term-hash-array has 869 terms in all.
% 0.48/0.66 ; Feature-vector-row-index has 276 entries (276 at peak, 292 added, 16 deleted).
% 0.48/0.66 ; Feature-vector-row-index has 864 nodes (864 at peak, 909 added, 45 deleted).
% 0.48/0.66 ; Retrieved 129 possibly forward subsuming rows in 293 calls.
% 0.48/0.66 ; Retrieved 97 possibly backward subsumed rows in 292 calls.
% 0.48/0.66 ; Path-index has 796 entries (796 at peak, 914 added, 118 deleted).
% 0.48/0.66 ; Path-index has 1,350 nodes (1,350 at peak, 1,418 added, 68 deleted).
% 0.48/0.66 ; Trie-index has 796 entries (796 at peak, 914 added, 118 deleted).
% 0.48/0.66 ; Trie-index has 1,630 nodes (1,630 at peak, 1,789 added, 159 deleted).
% 0.48/0.66 ; Retrieved 437 generalization terms in 1,837 calls.
% 0.48/0.66 ; Retrieved 260 instance terms in 260 calls.
% 0.48/0.66 ; Retrieved 143,931 unifiable terms in 6,763 calls.
% 0.48/0.66 ;
% 0.48/0.66 ; The agenda of rows to process has 7 entries:
% 0.48/0.66 ; 2 with value 4 1 with value 7 1 with value 19
% 0.48/0.66 ; 2 with value 5 1 with value 8
% 0.48/0.66 ; The agenda of input rows to give has 36 entries:
% 0.48/0.66 ; 5 with value 22 3 with value 26 1 with value 35
% 0.48/0.66 ; 2 with value 23 6 with value 27 3 with value 40
% 0.48/0.66 ; 3 with value 24 1 with value 29 3 with value 44
% 0.48/0.66 ; 8 with value 25 1 with value 32
% 0.48/0.66 ; The agenda of rows to give has 278 entries:
% 0.48/0.66 ; 8 with value (4 4) 18 with value (4 8) 4 with value (4 12)
% 0.48/0.66 ; 57 with value (4 5) 78 with value (4 9) 20 with value (4 13)
% 0.48/0.66 ; 4 with value (4 6) 25 with value (4 10) 5 with value (4 15)
% 0.48/0.66 ; 32 with value (4 7) 27 with value (4 11)
% 0.48/0.66 Evaluation took:
% 0.48/0.66 0.197 seconds of real time
% 0.48/0.66 0.179919 seconds of user run time
% 0.48/0.66 0.017436 seconds of system run time
% 0.48/0.66 [Run times include 0.008 seconds GC run time.]
% 0.48/0.66 0 calls to %EVAL
% 0.48/0.66 0 page faults and
% 0.48/0.66 14,326,880 bytes consed.
% 0.48/0.66 :PROOF-FOUND
% 0.48/0.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T22:00:38
% 0.48/0.66 :PROOF-FOUND
% 0.48/0.66 *
%------------------------------------------------------------------------------