TSTP Solution File: SWC075+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWC075+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 21:56:44 EDT 2022
% Result : Theorem 2.06s 2.24s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 36 ( 26 unt; 3 nHn; 36 RR)
% Number of literals : 55 ( 21 equ; 21 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(98,axiom,
( ~ ssList(X)
| app(nil,X) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
cnf(135,axiom,
( ~ ssList(X)
| segmentP(X,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
cnf(136,axiom,
( ~ ssList(X)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssList(U)
| ~ segmentP(X,Y)
| segmentP(app(app(Z,X),U),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
cnf(175,axiom,
( ~ ssList(X)
| app(X,nil) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
cnf(188,negated_conjecture,
ssList('SKOLEMAAAW48'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(189,negated_conjecture,
ssList('SKOLEMAAAW49'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(192,negated_conjecture,
'SKOLEMAAAW49' = 'SKOLEMAAAW51',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(193,negated_conjecture,
'SKOLEMAAAW48' = 'SKOLEMAAAW50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(194,negated_conjecture,
( ~ ssList(X)
| ~ neq(X,nil)
| ~ segmentP('SKOLEMAAAW49',X)
| ~ segmentP('SKOLEMAAAW48',X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(195,negated_conjecture,
ssList('SKOLEMAAAW52'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(196,negated_conjecture,
ssList('SKOLEMAAAW53'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(197,negated_conjecture,
app('SKOLEMAAAW52','SKOLEMAAAW53') = 'SKOLEMAAAW51',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(198,plain,
app('SKOLEMAAAW52','SKOLEMAAAW53') = 'SKOLEMAAAW49',
inference('REWRITE',[status(thm)],[197,192,theory(equality)]) ).
cnf(199,negated_conjecture,
app('SKOLEMAAAW53','SKOLEMAAAW52') = 'SKOLEMAAAW50',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(200,plain,
app('SKOLEMAAAW53','SKOLEMAAAW52') = 'SKOLEMAAAW48',
inference('REWRITE',[status(thm)],[199,193,theory(equality)]) ).
cnf(201,negated_conjecture,
( nil != 'SKOLEMAAAW49'
| nil != 'SKOLEMAAAW48' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(224,plain,
segmentP('SKOLEMAAAW53','SKOLEMAAAW53'),
inference('HYPERRESOLVE',[status(thm)],[135,196]) ).
cnf(227,plain,
segmentP('SKOLEMAAAW48','SKOLEMAAAW48'),
inference('HYPERRESOLVE',[status(thm)],[135,188]) ).
cnf(251,plain,
app(nil,'SKOLEMAAAW53') = 'SKOLEMAAAW53',
inference('HYPERRESOLVE',[status(thm)],[98,196]) ).
cnf(253,plain,
app(nil,'SKOLEMAAAW49') = 'SKOLEMAAAW49',
inference('HYPERRESOLVE',[status(thm)],[98,189]) ).
cnf(257,plain,
app('SKOLEMAAAW52',nil) = 'SKOLEMAAAW52',
inference('HYPERRESOLVE',[status(thm)],[175,195]) ).
cnf(258,plain,
app('SKOLEMAAAW49',nil) = 'SKOLEMAAAW49',
inference('HYPERRESOLVE',[status(thm)],[175,189]) ).
cnf(486,plain,
( neq('SKOLEMAAAW53',nil)
| nil = 'SKOLEMAAAW53' ),
inference('HYPERRESOLVE',[status(thm)],[82,196,84]) ).
cnf(498,plain,
( neq('SKOLEMAAAW48',nil)
| nil = 'SKOLEMAAAW48' ),
inference('HYPERRESOLVE',[status(thm)],[82,188,84]) ).
cnf(1371,plain,
segmentP('SKOLEMAAAW49','SKOLEMAAAW53'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,224,196,196,195,84]),258,198,theory(equality)]) ).
cnf(1380,plain,
segmentP('SKOLEMAAAW48','SKOLEMAAAW53'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,224,196,196,84,195]),200,251,theory(equality)]) ).
cnf(1561,plain,
~ neq('SKOLEMAAAW53',nil),
inference('UR-RESOLVE',[status(thm)],[194,1380,196,1371]) ).
cnf(1562,plain,
nil = 'SKOLEMAAAW53',
inference('REWRITE',[status(thm)],[486,1561]) ).
cnf(1563,plain,
'SKOLEMAAAW52' = 'SKOLEMAAAW49',
inference('REWRITE',[status(thm)],[198,257,1562,theory(equality)]) ).
cnf(1586,plain,
'SKOLEMAAAW49' = 'SKOLEMAAAW48',
inference('REWRITE',[status(thm)],[200,253,1563,1562,theory(equality)]) ).
cnf(1588,plain,
( ~ ssList(X)
| ~ neq(X,nil)
| ~ segmentP('SKOLEMAAAW48',X) ),
inference('REWRITE',[status(thm)],[194,1586,theory(equality)]) ).
cnf(1589,plain,
nil != 'SKOLEMAAAW48',
inference('REWRITE',[status(thm)],[201,1586,theory(equality)]) ).
cnf(1596,plain,
neq('SKOLEMAAAW48',nil),
inference('REWRITE',[status(thm)],[498,1589]) ).
cnf(1622,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1588,188,227]),1596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC075+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 11 23:19:00 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:19:00
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-11T23:19:00
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 #||
% 2.06/2.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.06/2.24 % SZS output start Refutation
% See solution above
% 2.06/2.24 ||#
% 2.06/2.24
% 2.06/2.24 ; Summary of computation:
% 2.06/2.24 ; 5597 formulas have been input or derived (from 255 formulas).
% 2.06/2.24 ; 1622 (29%) were retained. Of these,
% 2.06/2.24 ; 1196 (74%) were simplified or subsumed later,
% 2.06/2.24 ; 426 (26%) are still being kept.
% 2.06/2.24 ;
% 2.06/2.24 ; Run time in seconds excluding printing time:
% 2.06/2.24 ; 0.026 1% Read assertion file (1 call)
% 2.06/2.24 ; 0.007 0% Assert (96 calls)
% 2.06/2.24 ; 0.100 6% Process new row (5,270 calls)
% 2.06/2.24 ; 1.401 80% Resolution (508 calls)
% 2.06/2.24 ; 0.006 0% Paramodulation (254 calls)
% 2.06/2.24 ; 0.006 0% Condensing (602 calls)
% 2.06/2.24 ; 0.009 1% Forward subsumption (602 calls)
% 2.06/2.24 ; 0.005 0% Backward subsumption (482 calls)
% 2.06/2.24 ; 0.001 0% Clause clause subsumption (228 calls)
% 2.06/2.24 ; 0.066 4% Forward simplification (5,212 calls)
% 2.06/2.24 ; 0.057 3% Backward simplification (1,620 calls)
% 2.06/2.24 ; 0.003 0% Ordering (742 calls)
% 2.06/2.24 ; 0.001 0% Sortal reasoning (32 calls)
% 2.06/2.24 ; 0.001 0% Purity testing (1 call)
% 2.06/2.24 ; 0.053 3% Other
% 2.06/2.24 ; 1.742 Total
% 2.06/2.24 ; 1.744 Real time
% 2.06/2.24 ;
% 2.06/2.24 ; Term-hash-array has 2,826 terms in all.
% 2.06/2.24 ; Feature-vector-row-index has 227 entries (465 at peak, 482 added, 255 deleted).
% 2.06/2.24 ; Feature-vector-row-index has 849 nodes (1,965 at peak, 2,042 added, 1,193 deleted).
% 2.06/2.24 ; Retrieved 339 possibly forward subsuming rows in 602 calls.
% 2.06/2.24 ; Retrieved 129 possibly backward subsumed rows in 482 calls.
% 2.06/2.24 ; Path-index has 748 entries (2,707 at peak, 2,892 added, 2,144 deleted).
% 2.06/2.24 ; Path-index has 1,489 nodes (2,422 at peak, 2,483 added, 994 deleted).
% 2.06/2.24 ; Trie-index has 748 entries (2,707 at peak, 2,892 added, 2,144 deleted).
% 2.06/2.24 ; Trie-index has 2,157 nodes (7,059 at peak, 7,426 added, 5,269 deleted).
% 2.06/2.24 ; Retrieved 7,606 generalization terms in 24,027 calls.
% 2.06/2.24 ; Retrieved 1,155 instance terms in 1,137 calls.
% 2.06/2.24 ; Retrieved 3,896,100 unifiable terms in 93,418 calls.
% 2.06/2.24 ;
% 2.06/2.24 ; The agenda of rows to process has 1 entry:
% 2.06/2.24 ; 1 with value 6
% 2.06/2.24 ; The agenda of rows to give has 206 entries:
% 2.06/2.24 ; 6 with value (4 5) 15 with value (4 11) 7 with value (4 17)
% 2.06/2.24 ; 4 with value (4 6) 16 with value (4 12) 9 with value (4 18)
% 2.06/2.24 ; 17 with value (4 7) 19 with value (4 13) 4 with value (4 19)
% 2.06/2.24 ; 23 with value (4 8) 6 with value (4 14) 4 with value (4 21)
% 2.06/2.24 ; 42 with value (4 9) 12 with value (4 15) 1 with value (4 22)
% 2.06/2.24 ; 9 with value (4 10) 6 with value (4 16) 6 with value (4 25)
% 2.06/2.24 Evaluation took:
% 2.06/2.24 1.744 seconds of real time
% 2.06/2.24 1.703358 seconds of user run time
% 2.06/2.24 0.041171 seconds of system run time
% 2.06/2.24 [Run times include 0.08 seconds GC run time.]
% 2.06/2.24 0 calls to %EVAL
% 2.06/2.24 0 page faults and
% 2.06/2.24 157,041,912 bytes consed.
% 2.06/2.24 :PROOF-FOUND
% 2.06/2.24 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:19:02
% 2.06/2.24 :PROOF-FOUND
% 2.06/2.24 *
%------------------------------------------------------------------------------