TSTP Solution File: SWC182+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC182+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 21:57:25 EDT 2022
% Result : Theorem 4.74s 4.91s
% Output : Refutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 14 unt; 0 nHn; 20 RR)
% Number of literals : 34 ( 10 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| memberP(X,Y)
| ~ ssList(Z)
| ~ ssList(U)
| app(Z,cons(Y,U)) != X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
cnf(83,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| ssList(cons(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
cnf(84,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
cnf(96,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ssList(app(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
cnf(114,axiom,
( ~ ssItem(X)
| ~ memberP(nil,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
cnf(173,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| nil != app(X,Y)
| nil = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
cnf(192,negated_conjecture,
nil = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
'SKOLEMAAAV48' = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,plain,
'SKOLEMAAAV48' = nil,
inference('REWRITE',[status(thm)],[194,192,theory(equality)]) ).
cnf(196,negated_conjecture,
ssItem('SKOLEMAAAV52'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(197,negated_conjecture,
ssList('SKOLEMAAAV53'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,negated_conjecture,
ssList('SKOLEMAAAV54'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(199,negated_conjecture,
app(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV54') = 'SKOLEMAAAV48',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
app(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV54') = nil,
inference('REWRITE',[status(thm)],[199,195,theory(equality)]) ).
cnf(205,plain,
~ memberP(nil,'SKOLEMAAAV52'),
inference('UR-RESOLVE',[status(thm)],[114,196]) ).
cnf(374,plain,
ssList(cons('SKOLEMAAAV52',nil)),
inference('HYPERRESOLVE',[status(thm)],[83,84,196]) ).
cnf(501,plain,
( ~ ssList(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)))
| nil = app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[173,200,theory(equality)]),198,theory(equality)]) ).
cnf(987,plain,
nil != app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)),
inference('UR-RESOLVE',[status(thm)],[9,205,84,196,197,84]) ).
cnf(988,plain,
~ ssList(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil))),
inference('REWRITE',[status(thm)],[501,987]) ).
cnf(1226,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[96,374,197]),988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC182+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.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 06:52:05 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 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:52:05
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T06:52:05
% 4.74/4.91
% 4.74/4.91
% 4.74/4.91 #||
% 4.74/4.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/4.91 % SZS output start Refutation
% See solution above
% 4.74/4.91 ||#
% 4.74/4.91
% 4.74/4.91 ; Summary of computation:
% 4.74/4.91 ; 7343 formulas have been input or derived (from 264 formulas).
% 4.74/4.91 ; 1226 (17%) were retained. Of these,
% 4.74/4.91 ; 57 ( 5%) were simplified or subsumed later,
% 4.74/4.91 ; 1169 (95%) are still being kept.
% 4.74/4.91 ;
% 4.74/4.91 ; Run time in seconds excluding printing time:
% 4.74/4.91 ; 0.026 1% Read assertion file (1 call)
% 4.74/4.91 ; 0.008 0% Assert (96 calls)
% 4.74/4.91 ; 0.085 2% Process new row (3,115 calls)
% 4.74/4.91 ; 4.221 95% Resolution (526 calls)
% 4.74/4.91 ; 0.001 0% Paramodulation (263 calls)
% 4.74/4.91 ; 0.000 0% Factoring (1 call)
% 4.74/4.91 ; 0.004 0% Condensing (400 calls)
% 4.74/4.91 ; 0.009 0% Forward subsumption (400 calls)
% 4.74/4.91 ; 0.007 0% Backward subsumption (393 calls)
% 4.74/4.91 ; 0.001 0% Clause clause subsumption (96 calls)
% 4.74/4.91 ; 0.041 1% Forward simplification (3,115 calls)
% 4.74/4.91 ; 0.007 0% Backward simplification (1,224 calls)
% 4.74/4.91 ; 0.001 0% Ordering (573 calls)
% 4.74/4.91 ; 0.000 0% Sortal reasoning (32 calls)
% 4.74/4.91 ; 0.000 0% Purity testing (1 call)
% 4.74/4.91 ; 0.037 1% Other
% 4.74/4.91 ; 4.448 Total
% 4.74/4.91 ; 4.450 Real time
% 4.74/4.91 ;
% 4.74/4.91 ; Term-hash-array has 2,193 terms in all.
% 4.74/4.91 ; Feature-vector-row-index has 386 entries (393 at peak, 393 added, 7 deleted).
% 4.74/4.91 ; Feature-vector-row-index has 1,595 nodes (1,710 at peak, 1,710 added, 115 deleted).
% 4.74/4.91 ; Retrieved 161 possibly forward subsuming rows in 400 calls.
% 4.74/4.91 ; Retrieved 112 possibly backward subsumed rows in 393 calls.
% 4.74/4.91 ; Path-index has 2,126 entries (2,126 at peak, 2,203 added, 77 deleted).
% 4.74/4.91 ; Path-index has 2,221 nodes (2,221 at peak, 2,242 added, 21 deleted).
% 4.74/4.91 ; Trie-index has 2,126 entries (2,126 at peak, 2,203 added, 77 deleted).
% 4.74/4.91 ; Trie-index has 5,914 nodes (5,914 at peak, 6,021 added, 107 deleted).
% 4.74/4.91 ; Retrieved 4,151 generalization terms in 14,032 calls.
% 4.74/4.91 ; Retrieved 839 instance terms in 830 calls.
% 4.74/4.91 ; Retrieved 11,499,733 unifiable terms in 268,175 calls.
% 4.74/4.91 ;
% 4.74/4.91 ; The agenda of rows to process has 3974 entries:
% 4.74/4.91 ; 22 with value 11 15 with value 18 60 with value 25
% 4.74/4.91 ; 37 with value 12 1172 with value 19 56 with value 26
% 4.74/4.91 ; 1 with value 13 217 with value 20 1 with value 29
% 4.74/4.91 ; 113 with value 14 1010 with value 21 1 with value 30
% 4.74/4.91 ; 68 with value 15 582 with value 22 1 with value 37
% 4.74/4.91 ; 56 with value 16 148 with value 23 6 with value 42
% 4.74/4.91 ; 80 with value 17 328 with value 24
% 4.74/4.91 ; The agenda of rows to give has 905 entries:
% 4.74/4.91 ; 11 with value (4 7) 66 with value (4 13) 36 with value (4 19)
% 4.74/4.91 ; 42 with value (4 8) 17 with value (4 14) 1 with value (4 20)
% 4.74/4.91 ; 184 with value (4 9) 111 with value (4 15) 108 with value (4 21)
% 4.74/4.91 ; 37 with value (4 10) 21 with value (4 16) 3 with value (4 22)
% 4.74/4.91 ; 47 with value (4 11) 40 with value (4 17) 18 with value (4 25)
% 4.74/4.91 ; 91 with value (4 12) 72 with value (4 18)
% 4.74/4.91 Evaluation took:
% 4.74/4.91 4.451 seconds of real time
% 4.74/4.91 4.39608 seconds of user run time
% 4.74/4.91 0.05483 seconds of system run time
% 4.74/4.91 [Run times include 0.152 seconds GC run time.]
% 4.74/4.91 0 calls to %EVAL
% 4.74/4.91 0 page faults and
% 4.74/4.91 444,843,304 bytes consed.
% 4.74/4.91 :PROOF-FOUND
% 4.74/4.91 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:52:09
% 4.74/4.91 :PROOF-FOUND
% 4.74/4.91 *
%------------------------------------------------------------------------------