TSTP Solution File: SWC218+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC218+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 21:57:37 EDT 2022
% Result : Theorem 4.84s 5.06s
% Output : Refutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 16 unt; 1 nHn; 23 RR)
% Number of literals : 40 ( 11 equ; 21 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 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(82,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| neq(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
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(188,negated_conjecture,
ssList('SKOLEMAAAV48'),
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,
ssList('SKOLEMAAAV52'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
ssList('SKOLEMAAAV53'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,negated_conjecture,
ssItem('SKOLEMAAAV54'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(199,negated_conjecture,
app(app('SKOLEMAAAV52',cons('SKOLEMAAAV54',nil)),'SKOLEMAAAV53') = 'SKOLEMAAAV50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
app(app('SKOLEMAAAV52',cons('SKOLEMAAAV54',nil)),'SKOLEMAAAV53') = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[199,193,theory(equality)]) ).
cnf(201,negated_conjecture,
~ neq('SKOLEMAAAV48',nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(205,plain,
~ memberP(nil,'SKOLEMAAAV54'),
inference('UR-RESOLVE',[status(thm)],[114,198]) ).
cnf(419,plain,
ssList(cons('SKOLEMAAAV54',nil)),
inference('HYPERRESOLVE',[status(thm)],[83,84,198]) ).
cnf(514,plain,
nil = 'SKOLEMAAAV48',
inference('UR-RESOLVE',[status(thm)],[82,188,84,201]) ).
cnf(516,plain,
app(app('SKOLEMAAAV52',cons('SKOLEMAAAV54',nil)),'SKOLEMAAAV53') = nil,
inference('REWRITE',[status(thm)],[200,514,theory(equality)]) ).
cnf(571,plain,
( ~ ssList(app('SKOLEMAAAV52',cons('SKOLEMAAAV54',nil)))
| nil = app('SKOLEMAAAV52',cons('SKOLEMAAAV54',nil)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[173,516,theory(equality)]),195,theory(equality)]) ).
cnf(1055,plain,
nil != app('SKOLEMAAAV52',cons('SKOLEMAAAV54',nil)),
inference('UR-RESOLVE',[status(thm)],[9,205,84,198,194,84]) ).
cnf(1056,plain,
~ ssList(app('SKOLEMAAAV52',cons('SKOLEMAAAV54',nil))),
inference('REWRITE',[status(thm)],[571,1055]) ).
cnf(1320,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[96,419,194]),1056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : SWC218+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 20:24:07 EDT 2022
% 0.12/0.33 % 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 2022-06-12T20:24:07
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-12T20:24:07
% 4.84/5.06
% 4.84/5.06
% 4.84/5.06 #||
% 4.84/5.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.84/5.06 % SZS output start Refutation
% See solution above
% 4.84/5.06 ||#
% 4.84/5.06
% 4.84/5.06 ; Summary of computation:
% 4.84/5.06 ; 7689 formulas have been input or derived (from 272 formulas).
% 4.84/5.06 ; 1320 (17%) were retained. Of these,
% 4.84/5.06 ; 128 (10%) were simplified or subsumed later,
% 4.84/5.06 ; 1192 (90%) are still being kept.
% 4.84/5.06 ;
% 4.84/5.06 ; Run time in seconds excluding printing time:
% 4.84/5.06 ; 0.026 1% Read assertion file (1 call)
% 4.84/5.06 ; 0.008 0% Assert (96 calls)
% 4.84/5.06 ; 0.089 2% Process new row (3,403 calls)
% 4.84/5.06 ; 4.348 95% Resolution (542 calls)
% 4.84/5.06 ; 0.003 0% Paramodulation (271 calls)
% 4.84/5.06 ; 0.003 0% Condensing (439 calls)
% 4.84/5.06 ; 0.010 0% Forward subsumption (439 calls)
% 4.84/5.06 ; 0.011 0% Backward subsumption (433 calls)
% 4.84/5.06 ; 0.000 0% Clause clause subsumption (97 calls)
% 4.84/5.06 ; 0.053 1% Forward simplification (3,394 calls)
% 4.84/5.06 ; 0.009 0% Backward simplification (1,318 calls)
% 4.84/5.06 ; 0.001 0% Ordering (643 calls)
% 4.84/5.06 ; 0.001 0% Sortal reasoning (32 calls)
% 4.84/5.06 ; 0.001 0% Purity testing (1 call)
% 4.84/5.06 ; 0.034 1% Other
% 4.84/5.06 ; 4.597 Total
% 4.84/5.06 ; 4.599 Real time
% 4.84/5.06 ;
% 4.84/5.06 ; Term-hash-array has 2,343 terms in all.
% 4.84/5.06 ; Feature-vector-row-index has 383 entries (390 at peak, 433 added, 50 deleted).
% 4.84/5.06 ; Feature-vector-row-index has 1,573 nodes (1,690 at peak, 1,781 added, 208 deleted).
% 4.84/5.06 ; Retrieved 177 possibly forward subsuming rows in 439 calls.
% 4.84/5.06 ; Retrieved 114 possibly backward subsumed rows in 433 calls.
% 4.84/5.06 ; Path-index has 2,150 entries (2,150 at peak, 2,356 added, 206 deleted).
% 4.84/5.06 ; Path-index has 2,201 nodes (2,201 at peak, 2,342 added, 141 deleted).
% 4.84/5.06 ; Trie-index has 2,150 entries (2,150 at peak, 2,356 added, 206 deleted).
% 4.84/5.06 ; Trie-index has 5,884 nodes (5,884 at peak, 6,150 added, 266 deleted).
% 4.84/5.06 ; Retrieved 4,492 generalization terms in 14,741 calls.
% 4.84/5.06 ; Retrieved 893 instance terms in 884 calls.
% 4.84/5.06 ; Retrieved 11,884,499 unifiable terms in 269,630 calls.
% 4.84/5.06 ;
% 4.84/5.06 ; The agenda of rows to process has 4017 entries:
% 4.84/5.06 ; 22 with value 11 24 with value 18 60 with value 25
% 4.84/5.06 ; 41 with value 12 1172 with value 19 56 with value 26
% 4.84/5.06 ; 1 with value 13 217 with value 20 1 with value 29
% 4.84/5.06 ; 113 with value 14 1010 with value 21 1 with value 30
% 4.84/5.06 ; 84 with value 15 582 with value 22 1 with value 37
% 4.84/5.06 ; 70 with value 16 148 with value 23 6 with value 42
% 4.84/5.06 ; 80 with value 17 328 with value 24
% 4.84/5.06 ; The agenda of rows to give has 924 entries:
% 4.84/5.06 ; 10 with value (4 7) 88 with value (4 13) 75 with value (4 18)
% 4.84/5.06 ; 44 with value (4 8) 17 with value (4 14) 36 with value (4 19)
% 4.84/5.06 ; 193 with value (4 9) 105 with value (4 15) 108 with value (4 21)
% 4.84/5.06 ; 39 with value (4 10) 25 with value (4 16) 3 with value (4 22)
% 4.84/5.06 ; 45 with value (4 11) 39 with value (4 17) 18 with value (4 25)
% 4.84/5.06 ; 79 with value (4 12)
% 4.84/5.06 Evaluation took:
% 4.84/5.06 4.6 seconds of real time
% 4.84/5.06 4.533158 seconds of user run time
% 4.84/5.06 0.067036 seconds of system run time
% 4.84/5.06 [Run times include 0.15 seconds GC run time.]
% 4.84/5.06 0 calls to %EVAL
% 4.84/5.06 0 page faults and
% 4.84/5.06 449,561,808 bytes consed.
% 4.84/5.06 :PROOF-FOUND
% 4.84/5.06 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T20:24:12
% 4.84/5.06 :PROOF-FOUND
% 4.84/5.06 *
%------------------------------------------------------------------------------