TSTP Solution File: SWC204+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC204+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 21:57:32 EDT 2022
% Result : Theorem 170.24s 170.49s
% Output : Refutation 170.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of clauses : 37 ( 20 unt; 8 nHn; 37 RR)
% Number of literals : 80 ( 35 equ; 42 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; 5 con; 0-2 aty)
% Number of variables : 21 ( 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(85,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| cons(Y,X) != X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
cnf(88,axiom,
( ~ ssList(X)
| nil = X
| ssList('SKOLEMAAAV44'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
cnf(89,axiom,
( ~ ssList(X)
| nil = X
| ssItem('SKOLEMAAAV45'(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
cnf(90,axiom,
( ~ ssList(X)
| nil = X
| cons('SKOLEMAAAV45'(X),'SKOLEMAAAV44'(X)) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
cnf(94,axiom,
( ~ ssList(X)
| nil = X
| ssList(tl(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
cnf(95,axiom,
( ~ ssList(X)
| ~ ssItem(Y)
| tl(cons(Y,X)) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
cnf(98,axiom,
( ~ ssList(X)
| app(nil,X) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
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,
neq('SKOLEMAAAV49',nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
( ~ ssList(X)
| 'SKOLEMAAAV51' = X
| ~ ssList(Y)
| tl('SKOLEMAAAV51') != Y
| app('SKOLEMAAAV50',Y) != X
| ~ neq(nil,'SKOLEMAAAV51')
| ~ 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)],[195,194,193,192,theory(equality)]) ).
cnf(197,negated_conjecture,
( ~ neq('SKOLEMAAAV48',nil)
| ~ neq('SKOLEMAAAV51',nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
~ neq('SKOLEMAAAV48',nil),
inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).
cnf(315,plain,
( nil = 'SKOLEMAAAV49'
| ssList('SKOLEMAAAV44'('SKOLEMAAAV49')) ),
inference('HYPERRESOLVE',[status(thm)],[88,189]) ).
cnf(317,plain,
( nil = 'SKOLEMAAAV49'
| ssItem('SKOLEMAAAV45'('SKOLEMAAAV49')) ),
inference('HYPERRESOLVE',[status(thm)],[89,189]) ).
cnf(321,plain,
( nil = 'SKOLEMAAAV49'
| ssList(tl('SKOLEMAAAV49')) ),
inference('HYPERRESOLVE',[status(thm)],[94,189]) ).
cnf(352,plain,
nil != 'SKOLEMAAAV49',
inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).
cnf(353,plain,
ssList('SKOLEMAAAV44'('SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[315,352]) ).
cnf(354,plain,
ssItem('SKOLEMAAAV45'('SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[317,352]) ).
cnf(356,plain,
ssList(tl('SKOLEMAAAV49')),
inference('REWRITE',[status(thm)],[321,352]) ).
cnf(361,plain,
nil = 'SKOLEMAAAV48',
inference('UR-RESOLVE',[status(thm)],[82,188,84,198]) ).
cnf(363,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' = X
| ~ ssList(Y)
| tl('SKOLEMAAAV49') != Y
| app(nil,Y) != X
| ~ neq(nil,'SKOLEMAAAV49') ),
inference('REWRITE',[status(thm)],[196,361,theory(equality)]) ).
cnf(364,plain,
neq(nil,'SKOLEMAAAV49'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,84,189]),352]) ).
cnf(365,plain,
( ~ ssList(X)
| 'SKOLEMAAAV49' = X
| ~ ssList(Y)
| tl('SKOLEMAAAV49') != Y
| app(nil,Y) != X ),
inference('REWRITE',[status(thm)],[363,364]) ).
cnf(378,plain,
cons('SKOLEMAAAV45'('SKOLEMAAAV49'),'SKOLEMAAAV44'('SKOLEMAAAV49')) = 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[90,189]),352]) ).
cnf(530,plain,
app(nil,'SKOLEMAAAV44'('SKOLEMAAAV49')) = 'SKOLEMAAAV44'('SKOLEMAAAV49'),
inference('HYPERRESOLVE',[status(thm)],[98,353]) ).
cnf(774,plain,
'SKOLEMAAAV44'('SKOLEMAAAV49') != 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[85,354,353]),378,theory(equality)]) ).
cnf(791,plain,
tl('SKOLEMAAAV49') = 'SKOLEMAAAV44'('SKOLEMAAAV49'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[95,354,353]),378,theory(equality)]) ).
cnf(809,plain,
app(nil,tl('SKOLEMAAAV49')) = tl('SKOLEMAAAV49'),
inference('REWRITE',[status(thm)],[530,791,theory(equality)]) ).
cnf(996,plain,
tl('SKOLEMAAAV49') != 'SKOLEMAAAV49',
inference('REWRITE',[status(thm)],[774,791,theory(equality)]) ).
cnf(40994,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[365,996,356,356,theory(equality)]),809,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC204+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 12 17:47:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T17:47:40
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-12T17:47:40
% 170.24/170.49
% 170.24/170.49
% 170.24/170.49 #||
% 170.24/170.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 170.24/170.49 % SZS output start Refutation
% See solution above
% 170.24/170.49 ||#
% 170.24/170.49
% 170.24/170.49 ; Summary of computation:
% 170.24/170.49 ; 137975 formulas have been input or derived (from 273 formulas).
% 170.24/170.49 ; 40994 (30%) were retained. Of these,
% 170.24/170.49 ; 8558 (21%) were simplified or subsumed later,
% 170.24/170.49 ; 32436 (79%) are still being kept.
% 170.24/170.49 ;
% 170.24/170.49 ; Run time in seconds excluding printing time:
% 170.24/170.49 ; 0.026 0% Read assertion file (1 call)
% 170.24/170.49 ; 0.007 0% Assert (96 calls)
% 170.24/170.49 ; 4.338 3% Process new row (136,403 calls)
% 170.24/170.49 ; 158.597 93% Resolution (544 calls)
% 170.24/170.49 ; 0.001 0% Paramodulation (272 calls)
% 170.24/170.49 ; 0.005 0% Condensing (1,346 calls)
% 170.24/170.49 ; 0.051 0% Forward subsumption (1,346 calls)
% 170.24/170.49 ; 0.014 0% Backward subsumption (1,267 calls)
% 170.24/170.49 ; 0.001 0% Clause clause subsumption (689 calls)
% 170.24/170.49 ; 3.138 2% Forward simplification (108,738 calls)
% 170.24/170.49 ; 3.352 2% Backward simplification (40,992 calls)
% 170.24/170.49 ; 0.033 0% Ordering (5,037 calls)
% 170.24/170.49 ; 0.000 0% Sortal reasoning (32 calls)
% 170.24/170.49 ; 0.000 0% Purity testing (1 call)
% 170.24/170.49 ; 0.415 0% Other
% 170.24/170.49 ; 169.978 Total
% 170.24/170.49 ; 169.986 Real time
% 170.24/170.49 ;
% 170.24/170.49 ; Term-hash-array has 59,299 terms in all.
% 170.24/170.49 ; Feature-vector-row-index has 1,126 entries (1,126 at peak, 1,267 added, 141 deleted).
% 170.24/170.49 ; Feature-vector-row-index has 2,420 nodes (2,420 at peak, 3,046 added, 626 deleted).
% 170.24/170.49 ; Retrieved 3,199 possibly forward subsuming rows in 1,346 calls.
% 170.24/170.49 ; Retrieved 2,512 possibly backward subsumed rows in 1,267 calls.
% 170.24/170.49 ; Path-index has 48,049 entries (48,049 at peak, 59,465 added, 11,416 deleted).
% 170.24/170.49 ; Path-index has 11,293 nodes (11,293 at peak, 12,386 added, 1,093 deleted).
% 170.24/170.49 ; Trie-index has 48,049 entries (48,049 at peak, 59,465 added, 11,416 deleted).
% 170.24/170.49 ; Trie-index has 167,571 nodes (167,571 at peak, 204,954 added, 37,383 deleted).
% 170.24/170.49 ; Retrieved 239,966 generalization terms in 908,221 calls.
% 170.24/170.49 ; Retrieved 40,028 instance terms in 39,724 calls.
% 170.24/170.49 ; Retrieved 332,109,033 unifiable terms in 7,655,597 calls.
% 170.24/170.49 ;
% 170.24/170.49 ; The agenda of rows to process has 71 entries:
% 170.24/170.49 ; 16 with value 14 3 with value 16 44 with value 18
% 170.24/170.49 ; 8 with value 15
% 170.24/170.49 ; The agenda of rows to give has 32172 entries:
% 170.24/170.49 ; 9 with value (4 8) 321 with value (4 19) 3103 with value (4 30)
% 170.24/170.49 ; 79 with value (4 9) 495 with value (4 20) 6101 with value (4 31)
% 170.24/170.49 ; 59 with value (4 10) 632 with value (4 21) 2218 with value (4 32)
% 170.24/170.49 ; 59 with value (4 11) 487 with value (4 22) 278 with value (4 33)
% 170.24/170.49 ; 94 with value (4 12) 409 with value (4 23) 2608 with value (4 34)
% 170.24/170.49 ; 122 with value (4 13) 1320 with value (4 24) 6 with value (4 35)
% 170.24/170.49 ; 233 with value (4 14) 1258 with value (4 25) 1 with value (4 37)
% 170.24/170.49 ; 287 with value (4 15) 1941 with value (4 26) 8 with value (4 38)
% 170.24/170.49 ; 148 with value (4 16) 2479 with value (4 27) 6 with value (4 42)
% 170.24/170.49 ; 554 with value (4 17) 1441 with value (4 28) 48 with value (4 43)
% 170.24/170.49 ; 449 with value (4 18) 4919 with value (4 29)
% 170.24/170.49 Evaluation took:
% 170.24/170.49 169.99 seconds of real time
% 170.24/170.49 168.39145 seconds of user run time
% 170.24/170.49 1.592685 seconds of system run time
% 170.24/170.49 [Run times include 19.331 seconds GC run time.]
% 170.24/170.49 0 calls to %EVAL
% 170.24/170.49 0 page faults and
% 170.24/170.49 19,634,913,904 bytes consed.
% 170.24/170.49 :PROOF-FOUND
% 170.24/170.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T17:50:30
% 170.24/170.49 :PROOF-FOUND
% 170.24/170.49 *
%------------------------------------------------------------------------------