TSTP Solution File: SWW423-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW423-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 : Thu Jul 21 01:25:03 EDT 2022

% Result   : Timeout 292.21s 292.44s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (  10 unt;   2 nHn;  11 RR)
%            Number of literals    :   20 (   6 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associative_commutative,axiom,
    sep(X,sep(Y,Z)) = sep(Y,sep(X,Z)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(normalization,axiom,
    sep(lseg(X,X),Y) = Y,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(unfolding_2,axiom,
    ( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),U)))
    | X = Y
    | heap(sep(lseg(X,Z),U)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).

cnf(unfolding_3,axiom,
    ( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Z)))
    | heap(sep(lseg(X,nil),Z)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).

cnf(premise_2,hypothesis,
    x2 != x1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).

cnf(premise_4,hypothesis,
    heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).

cnf(16,plain,
    heap(sep(next(x1,x2),sep(lseg(x3,nil),sep(lseg(x2,nil),emp)))),
    inference('REWRITE',[status(thm)],[premise_4,associative_commutative,theory(equality)]) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).

cnf(18,plain,
    ~ heap(sep(lseg(x3,nil),sep(lseg(x1,nil),emp))),
    inference('REWRITE',[status(thm)],[conclusion_1,associative_commutative,theory(equality)]) ).

cnf(22,plain,
    sep(X,sep(Y,sep(Z,U))) = sep(Z,sep(X,sep(Y,U))),
    inference('PARAMODULATE',[status(thm)],[associative_commutative,associative_commutative,theory(equality)]) ).

cnf(44,plain,
    ( ~ heap(sep(next(X,Y),Z))
    | X = Y
    | heap(sep(lseg(X,Y),Z)) ),
    inference('PARAMODULATE',[status(thm)],[unfolding_2,normalization,theory(equality)]) ).

cnf(173,plain,
    ( ~ heap(sep(X,sep(lseg(Y,Z),sep(lseg(Z,nil),U))))
    | heap(sep(lseg(Y,nil),sep(X,U))) ),
    inference('PARAMODULATE',[status(thm)],[unfolding_3,22,theory(equality)]) ).

cnf(370,plain,
    heap(sep(lseg(x3,nil),sep(lseg(x1,x2),sep(lseg(x2,nil),emp)))),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[44,16,premise_2]),associative_commutative,theory(equality)]) ).

cnf(4564,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[173,370]),18,associative_commutative,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW423-1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 08:16:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T08:16:17
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-05T08:16:17
% 292.21/292.44  
% 292.21/292.44  
% 292.21/292.44  #||
% 292.21/292.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 292.21/292.44  % SZS output start Refutation
% See solution above
% 292.21/292.44  ||#
% 292.21/292.44  
% 292.21/292.44  ; Summary of computation:
% 292.21/292.44  ;     97553 formulas have been input or derived (from 676 formulas).
% 292.21/292.44  ;      4564 ( 5%) were retained.  Of these,
% 292.21/292.44  ;          100 ( 2%) were simplified or subsumed later,
% 292.21/292.44  ;         4464 (98%) are still being kept.
% 292.21/292.44  ; 
% 292.21/292.44  ; Run time in seconds excluding printing time:
% 292.21/292.44  ;     0.004   0%   Read assertion file          (1 call)
% 292.21/292.44  ;     0.000   0%   Assert                       (16 calls)
% 292.21/292.44  ;     0.942   0%   Process new row              (90,655 calls)
% 292.21/292.44  ;     0.513   0%   Resolution                   (1,350 calls)
% 292.21/292.44  ;     1.598   1%   Paramodulation               (675 calls)
% 292.21/292.44  ;     0.032   0%   Condensing                   (2,782 calls)
% 292.21/292.44  ;     0.142   0%   Forward subsumption          (2,782 calls)
% 292.21/292.44  ;     0.010   0%   Backward subsumption         (368 calls)
% 292.21/292.44  ;     0.014   0%   Clause clause subsumption    (5,851 calls)
% 292.21/292.44  ;    55.268  19%   Forward simplification       (90,655 calls)
% 292.21/292.44  ;     1.239   0%   Backward simplification      (4,562 calls)
% 292.21/292.44  ;   231.704  79%   Ordering                     (21,823,182 calls)
% 292.21/292.44  ;     0.001   0%   Sortal reasoning             (32 calls)
% 292.21/292.44  ;     0.000   0%   Purity testing               (1 call)
% 292.21/292.44  ;     0.451   0%   Other
% 292.21/292.44  ;   291.918        Total
% 292.21/292.44  ;   291.956        Real time
% 292.21/292.44  ; 
% 292.21/292.44  ; Term-hash-array has 17,836 terms in all.
% 292.21/292.44  ; Feature-vector-row-index has 368 entries (368 at peak, 368 added, 0 deleted).
% 292.21/292.44  ; Feature-vector-row-index has 987 nodes (987 at peak, 987 added, 0 deleted).
% 292.21/292.44  ;  Retrieved 6,946 possibly forward subsuming rows in 2,782 calls.
% 292.21/292.44  ;  Retrieved 1,258 possibly backward subsumed rows in 368 calls.
% 292.21/292.44  ; Path-index has 17,558 entries (17,558 at peak, 17,857 added, 299 deleted).
% 292.21/292.44  ; Path-index has 582 nodes (582 at peak, 596 added, 14 deleted).
% 292.21/292.44  ; Trie-index has 17,558 entries (17,558 at peak, 17,857 added, 299 deleted).
% 292.21/292.44  ; Trie-index has 52,747 nodes (52,747 at peak, 55,249 added, 2,502 deleted).
% 292.21/292.44  ; Retrieved 1,678,042 generalization terms in 621,829 calls.
% 292.21/292.44  ; Retrieved 309,913 instance terms in 4,729 calls.
% 292.21/292.44  ; Retrieved 611,150 unifiable terms in 12,604 calls.
% 292.21/292.44  ; 
% 292.21/292.44  ; The agenda of rows to process has 361 entries:
% 292.21/292.44  ;     4 with value 22             11 with value 31               7 with value 38
% 292.21/292.44  ;     2 with value 25             32 with value 32               8 with value 42
% 292.21/292.44  ;     3 with value 26              9 with value 33              13 with value 43
% 292.21/292.44  ;     4 with value 27             57 with value 34               9 with value 44
% 292.21/292.44  ;    16 with value 28             99 with value 35               9 with value 48
% 292.21/292.44  ;     2 with value 29             32 with value 36              10 with value 49
% 292.21/292.44  ;     6 with value 30             23 with value 37               5 with value 50
% 292.21/292.44  ; The agenda of rows to give has 3788 entries:
% 292.21/292.44  ;   176 with value (4 30)        222 with value (4 39)          32 with value (4 47)
% 292.21/292.44  ;   280 with value (4 31)         10 with value (4 40)          27 with value (4 48)
% 292.21/292.44  ;   394 with value (4 32)         26 with value (4 41)          11 with value (4 49)
% 292.21/292.44  ;   523 with value (4 33)        130 with value (4 42)           7 with value (4 50)
% 292.21/292.44  ;   183 with value (4 34)        220 with value (4 43)           9 with value (4 51)
% 292.21/292.44  ;   473 with value (4 35)         17 with value (4 44)           6 with value (4 52)
% 292.21/292.44  ;   585 with value (4 36)         15 with value (4 45)           1 with value (4 54)
% 292.21/292.44  ;   183 with value (4 37)         22 with value (4 46)           1 with value (4 58)
% 292.21/292.44  ;   235 with value (4 38)
% 292.21/292.44  Evaluation took:
% 292.21/292.44    291.957 seconds of real time
% 292.21/292.44    268.87994 seconds of user run time
% 292.21/292.44    23.040464 seconds of system run time
% 292.21/292.44    [Run times include 12.511 seconds GC run time.]
% 292.21/292.44    0 calls to %EVAL
% 292.21/292.44    0 page faults and
% 292.21/292.44    19,244,129,840 bytes consed.
% 292.21/292.44  :PROOF-FOUND
% 292.21/292.44  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T08:21:09
% 292.21/292.44  :PROOF-FOUND
% 292.21/292.44  * 
%------------------------------------------------------------------------------