TSTP Solution File: SWC275+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC275+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 21:57:55 EDT 2022
% Result : Theorem 206.55s 206.71s
% Output : Refutation 206.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of clauses : 42 ( 24 unt; 8 nHn; 42 RR)
% Number of literals : 79 ( 22 equ; 33 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(50,axiom,
( ~ ssList(X)
| ~ totalorderedP(X)
| ~ ssItem(Y)
| ~ ssItem(Z)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| app(app(U,cons(Y,V)),cons(Z,W)) != X
| leq(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(51,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssItem('SKOLEMAAAV25'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(52,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssItem('SKOLEMAAAV26'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(53,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAV27'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(54,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAV28'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(55,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ssList('SKOLEMAAAV29'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(56,axiom,
( ~ ssList(X)
| totalorderedP(X)
| app(app('SKOLEMAAAV27'(X),cons('SKOLEMAAAV25'(X),'SKOLEMAAAV28'(X))),cons('SKOLEMAAAV26'(X),'SKOLEMAAAV29'(X))) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
cnf(57,axiom,
( ~ ssList(X)
| totalorderedP(X)
| ~ leq('SKOLEMAAAV25'(X),'SKOLEMAAAV26'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
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(147,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
cnf(150,axiom,
( ~ ssItem(X)
| ~ ssList(Y)
| totalorderedP(cons(X,Y))
| nil != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).
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(188,negated_conjecture,
ssList('SKOLEMAAAV48'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
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,
~ totalorderedP('SKOLEMAAAV48'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( nil = 'SKOLEMAAAV50'
| nil != 'SKOLEMAAAV51' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(196,plain,
( nil = 'SKOLEMAAAV48'
| nil != 'SKOLEMAAAV49' ),
inference('REWRITE',[status(thm)],[195,192,193,theory(equality)]) ).
cnf(197,negated_conjecture,
( ssItem('SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
( ssItem('SKOLEMAAAV52')
| ~ neq('SKOLEMAAAV49',nil) ),
inference('REWRITE',[status(thm)],[197,192,theory(equality)]) ).
cnf(199,negated_conjecture,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48'
| ~ neq('SKOLEMAAAV49',nil) ),
inference('REWRITE',[status(thm)],[199,192,193,theory(equality)]) ).
cnf(275,plain,
ssItem('SKOLEMAAAV25'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[51,188,194]) ).
cnf(277,plain,
ssItem('SKOLEMAAAV26'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[52,188,194]) ).
cnf(279,plain,
ssList('SKOLEMAAAV27'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[53,188,194]) ).
cnf(281,plain,
ssList('SKOLEMAAAV28'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[54,188,194]) ).
cnf(283,plain,
ssList('SKOLEMAAAV29'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[55,188,194]) ).
cnf(339,plain,
~ leq('SKOLEMAAAV25'('SKOLEMAAAV48'),'SKOLEMAAAV26'('SKOLEMAAAV48')),
inference('UR-RESOLVE',[status(thm)],[57,188,194]) ).
cnf(360,plain,
( neq('SKOLEMAAAV49',nil)
| nil = 'SKOLEMAAAV49' ),
inference('HYPERRESOLVE',[status(thm)],[82,189,84]) ).
cnf(492,plain,
app(app('SKOLEMAAAV27'('SKOLEMAAAV48'),cons('SKOLEMAAAV25'('SKOLEMAAAV48'),'SKOLEMAAAV28'('SKOLEMAAAV48'))),cons('SKOLEMAAAV26'('SKOLEMAAAV48'),'SKOLEMAAAV29'('SKOLEMAAAV48'))) = 'SKOLEMAAAV48',
inference('UR-RESOLVE',[status(thm)],[56,188,194]) ).
cnf(1657,plain,
cons('SKOLEMAAAV25'('SKOLEMAAAV48'),'SKOLEMAAAV28'('SKOLEMAAAV48')) = app(cons('SKOLEMAAAV25'('SKOLEMAAAV48'),nil),'SKOLEMAAAV28'('SKOLEMAAAV48')),
inference('HYPERRESOLVE',[status(thm)],[170,281,275]) ).
cnf(1658,plain,
app(app('SKOLEMAAAV27'('SKOLEMAAAV48'),app(cons('SKOLEMAAAV25'('SKOLEMAAAV48'),nil),'SKOLEMAAAV28'('SKOLEMAAAV48'))),cons('SKOLEMAAAV26'('SKOLEMAAAV48'),'SKOLEMAAAV29'('SKOLEMAAAV48'))) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[492,1657,theory(equality)]) ).
cnf(2329,plain,
cons('SKOLEMAAAV26'('SKOLEMAAAV48'),'SKOLEMAAAV29'('SKOLEMAAAV48')) = app(cons('SKOLEMAAAV26'('SKOLEMAAAV48'),nil),'SKOLEMAAAV29'('SKOLEMAAAV48')),
inference('HYPERRESOLVE',[status(thm)],[170,283,277]) ).
cnf(2330,plain,
app(app('SKOLEMAAAV27'('SKOLEMAAAV48'),app(cons('SKOLEMAAAV25'('SKOLEMAAAV48'),nil),'SKOLEMAAAV28'('SKOLEMAAAV48'))),app(cons('SKOLEMAAAV26'('SKOLEMAAAV48'),nil),'SKOLEMAAAV29'('SKOLEMAAAV48'))) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[1658,2329,theory(equality)]) ).
cnf(32576,plain,
nil != 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[50,339,84,147,275,277,279,281,283]),2330,2329,1657,theory(equality)]) ).
cnf(32577,plain,
nil != 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[196,32576]) ).
cnf(32584,plain,
neq('SKOLEMAAAV49',nil),
inference('REWRITE',[status(thm)],[360,32577]) ).
cnf(32585,plain,
ssItem('SKOLEMAAAV52'),
inference('REWRITE',[status(thm)],[198,32584]) ).
cnf(32586,plain,
cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
inference('REWRITE',[status(thm)],[200,32584]) ).
cnf(37275,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[150,32585,84,theory(equality)]),194,32586,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC275+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.31 % Computer : n026.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Sun Jun 12 01:16:05 EDT 2022
% 0.17/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.44 #<PACKAGE "SNARK-USER">
% 0.17/0.44 *
% 0.17/0.44 SNARK-TPTP-OPTIONS
% 0.17/0.44 *
% 0.17/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44 (USE-FACTORING :POS)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.44 *
% 0.17/0.44 "."
% 0.17/0.44 *
% 0.17/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T01:16:05
% 0.17/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T01:16:05
% 206.55/206.71
% 206.55/206.71
% 206.55/206.71 #||
% 206.55/206.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 206.55/206.71 % SZS output start Refutation
% See solution above
% 206.55/206.71 ||#
% 206.55/206.71
% 206.55/206.71 ; Summary of computation:
% 206.55/206.71 ; 94892 formulas have been input or derived (from 261 formulas).
% 206.55/206.71 ; 37275 (39%) were retained. Of these,
% 206.55/206.71 ; 5603 (15%) were simplified or subsumed later,
% 206.55/206.71 ; 31672 (85%) are still being kept.
% 206.55/206.71 ;
% 206.55/206.71 ; Run time in seconds excluding printing time:
% 206.55/206.71 ; 0.026 0% Read assertion file (1 call)
% 206.55/206.71 ; 0.009 0% Assert (96 calls)
% 206.55/206.71 ; 3.456 2% Process new row (83,078 calls)
% 206.55/206.71 ; 195.136 95% Resolution (520 calls)
% 206.55/206.71 ; 0.005 0% Paramodulation (260 calls)
% 206.55/206.71 ; 0.005 0% Condensing (1,103 calls)
% 206.55/206.71 ; 0.098 0% Forward subsumption (1,103 calls)
% 206.55/206.71 ; 0.020 0% Backward subsumption (1,070 calls)
% 206.55/206.71 ; 0.002 0% Clause clause subsumption (1,174 calls)
% 206.55/206.71 ; 2.921 1% Forward simplification (83,078 calls)
% 206.55/206.71 ; 4.271 2% Backward simplification (37,271 calls)
% 206.55/206.71 ; 0.015 0% Ordering (3,924 calls)
% 206.55/206.71 ; 0.000 0% Sortal reasoning (32 calls)
% 206.55/206.71 ; 0.000 0% Purity testing (1 call)
% 206.55/206.71 ; 0.316 0% Other
% 206.55/206.71 ; 206.280 Total
% 206.55/206.71 ; 206.270 Real time
% 206.55/206.71 ;
% 206.55/206.72 ; Term-hash-array has 52,938 terms in all.
% 206.55/206.72 ; Feature-vector-row-index has 914 entries (1,018 at peak, 1,070 added, 156 deleted).
% 206.55/206.72 ; Feature-vector-row-index has 4,050 nodes (4,521 at peak, 4,818 added, 768 deleted).
% 206.55/206.72 ; Retrieved 1,289 possibly forward subsuming rows in 1,103 calls.
% 206.55/206.72 ; Retrieved 596 possibly backward subsumed rows in 1,070 calls.
% 206.55/206.72 ; Path-index has 45,725 entries (45,768 at peak, 53,294 added, 7,569 deleted).
% 206.55/206.72 ; Path-index has 5,714 nodes (5,827 at peak, 6,155 added, 441 deleted).
% 206.55/206.72 ; Trie-index has 45,725 entries (45,768 at peak, 53,294 added, 7,569 deleted).
% 206.55/206.72 ; Trie-index has 139,938 nodes (140,067 at peak, 163,411 added, 23,473 deleted).
% 206.55/206.72 ; Retrieved 176,702 generalization terms in 714,838 calls.
% 206.55/206.72 ; Retrieved 36,405 instance terms in 36,200 calls.
% 206.55/206.72 ; Retrieved 445,809,098 unifiable terms in 9,379,629 calls.
% 206.55/206.72 ;
% 206.55/206.72 ; The agenda of rows to process has 10900 entries:
% 206.55/206.72 ; 16 with value 7 28 with value 14 1440 with value 21
% 206.55/206.72 ; 18 with value 8 18 with value 15 1620 with value 22
% 206.55/206.72 ; 18 with value 9 72 with value 16 2124 with value 23
% 206.55/206.72 ; 18 with value 10 120 with value 18 1944 with value 24
% 206.55/206.72 ; 71 with value 11 468 with value 19 1368 with value 25
% 206.55/206.72 ; 33 with value 12 648 with value 20 864 with value 26
% 206.55/206.72 ; 12 with value 13
% 206.55/206.72 ; The agenda of input rows to give has 3 entries:
% 206.55/206.72 ; 2 with value 4 1 with value 7
% 206.55/206.72 ; The agenda of rows to give has 31412 entries:
% 206.55/206.72 ; 3 with value (4 4) 470 with value (4 16) 3142 with value (4 27)
% 206.55/206.72 ; 10 with value (4 5) 332 with value (4 17) 3592 with value (4 28)
% 206.55/206.72 ; 9 with value (4 6) 279 with value (4 18) 3924 with value (4 29)
% 206.55/206.72 ; 41 with value (4 8) 376 with value (4 19) 3604 with value (4 30)
% 206.55/206.72 ; 119 with value (4 9) 265 with value (4 20) 3135 with value (4 31)
% 206.55/206.72 ; 43 with value (4 10) 570 with value (4 21) 1944 with value (4 32)
% 206.55/206.72 ; 132 with value (4 11) 496 with value (4 22) 1296 with value (4 33)
% 206.55/206.72 ; 161 with value (4 12) 1202 with value (4 23) 18 with value (4 35)
% 206.55/206.72 ; 164 with value (4 13) 1296 with value (4 24) 4 with value (4 37)
% 206.55/206.72 ; 270 with value (4 14) 2037 with value (4 25) 24 with value (4 42)
% 206.55/206.72 ; 140 with value (4 15) 2314 with value (4 26)
% 206.55/206.72 Evaluation took:
% 206.55/206.72 206.273 seconds of real time
% 206.55/206.72 204.82285 seconds of user run time
% 206.55/206.72 1.463169 seconds of system run time
% 206.55/206.72 [Run times include 21.511 seconds GC run time.]
% 206.55/206.72 0 calls to %EVAL
% 206.55/206.72 0 page faults and
% 206.55/206.72 20,993,512,856 bytes consed.
% 206.55/206.72 :PROOF-FOUND
% 206.55/206.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T01:19:31
% 206.55/206.72 :PROOF-FOUND
% 206.55/206.72 *
%------------------------------------------------------------------------------