TSTP Solution File: SWC046+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC046+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 21:56:35 EDT 2022

% Result   : Theorem 176.94s 177.17s
% Output   : Refutation 176.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  12 unt;   3 nHn;  19 RR)
%            Number of literals    :   34 (  11 equ;  15 neg)
%            Maximal clause size   :    5 (   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;   5 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(92,axiom,
    ( ~ ssList(X)
    | nil = X
    | ssItem(hd(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).

cnf(94,axiom,
    ( ~ ssList(X)
    | nil = X
    | ssList(tl(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

cnf(112,axiom,
    ( ~ ssItem(X)
    | ~ ssItem(Y)
    | ~ ssList(Z)
    | memberP(cons(Y,Z),X)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).

cnf(114,axiom,
    ( ~ ssItem(X)
    | ~ memberP(nil,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).

cnf(167,axiom,
    ( ~ ssList(X)
    | nil = X
    | cons(hd(X),tl(X)) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    nil = 'SKOLEMAAAV49',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,plain,
    nil = 'SKOLEMAAAV51',
    inference('REWRITE',[status(thm)],[193,192,theory(equality)]) ).

cnf(195,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    nil != 'SKOLEMAAAV48',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(199,negated_conjecture,
    ( ~ ssItem(X)
    | ~ memberP('SKOLEMAAAV50',X)
    | memberP('SKOLEMAAAV51',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    ( ~ ssItem(X)
    | ~ memberP('SKOLEMAAAV48',X)
    | memberP(nil,X) ),
    inference('REWRITE',[status(thm)],[199,194,195,theory(equality)]) ).

cnf(280,plain,
    ssItem(hd('SKOLEMAAAV48')),
    inference('UR-RESOLVE',[status(thm)],[92,188,196]) ).

cnf(281,plain,
    ssList(tl('SKOLEMAAAV48')),
    inference('UR-RESOLVE',[status(thm)],[94,188,196]) ).

cnf(315,plain,
    cons(hd('SKOLEMAAAV48'),tl('SKOLEMAAAV48')) = 'SKOLEMAAAV48',
    inference('UR-RESOLVE',[status(thm)],[167,188,196]) ).

cnf(976,plain,
    ~ memberP(nil,hd('SKOLEMAAAV48')),
    inference('UR-RESOLVE',[status(thm)],[114,280]) ).

cnf(1051,plain,
    memberP('SKOLEMAAAV48',hd('SKOLEMAAAV48')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[112,281,280,280,theory(equality)]),315,theory(equality)]) ).

cnf(41781,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[200,976,280]),1051]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC046+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 00:53:49 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 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 2022-06-12T00:53:50
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T00:53:50
% 176.94/177.17  
% 176.94/177.17  
% 176.94/177.17  #||
% 176.94/177.17  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 176.94/177.17  % SZS output start Refutation
% See solution above
% 176.94/177.17  ||#
% 176.94/177.17  
% 176.94/177.17  ; Summary of computation:
% 176.94/177.17  ;    139245 formulas have been input or derived (from 278 formulas).
% 176.94/177.17  ;     41781 (30%) were retained.  Of these,
% 176.94/177.17  ;         8868 (21%) were simplified or subsumed later,
% 176.94/177.17  ;        32913 (79%) are still being kept.
% 176.94/177.17  ; 
% 176.94/177.17  ; Run time in seconds excluding printing time:
% 176.94/177.17  ;     0.027   0%   Read assertion file          (1 call)
% 176.94/177.17  ;     0.009   0%   Assert                       (96 calls)
% 176.94/177.17  ;     4.135   2%   Process new row              (137,544 calls)
% 176.94/177.17  ;   164.876  93%   Resolution                   (554 calls)
% 176.94/177.17  ;     0.002   0%   Paramodulation               (277 calls)
% 176.94/177.17  ;     0.008   0%   Condensing                   (1,333 calls)
% 176.94/177.17  ;     0.099   0%   Forward subsumption          (1,333 calls)
% 176.94/177.17  ;     0.018   0%   Backward subsumption         (1,234 calls)
% 176.94/177.17  ;     0.004   0%   Clause clause subsumption    (645 calls)
% 176.94/177.17  ;     3.363   2%   Forward simplification       (109,700 calls)
% 176.94/177.17  ;     3.707   2%   Backward simplification      (41,776 calls)
% 176.94/177.17  ;     0.027   0%   Ordering                     (4,944 calls)
% 176.94/177.17  ;     0.000   0%   Sortal reasoning             (32 calls)
% 176.94/177.17  ;     0.000   0%   Purity testing               (1 call)
% 176.94/177.17  ;     0.440   0%   Other
% 176.94/177.17  ;   176.715        Total
% 176.94/177.17  ;   176.709        Real time
% 176.94/177.17  ; 
% 176.94/177.17  ; Term-hash-array has 60,046 terms in all.
% 176.94/177.17  ; Feature-vector-row-index has 1,157 entries (1,157 at peak, 1,234 added, 77 deleted).
% 176.94/177.17  ; Feature-vector-row-index has 4,655 nodes (4,655 at peak, 5,089 added, 434 deleted).
% 176.94/177.17  ;  Retrieved 856 possibly forward subsuming rows in 1,333 calls.
% 176.94/177.17  ;  Retrieved 438 possibly backward subsumed rows in 1,234 calls.
% 176.94/177.17  ; Path-index has 48,523 entries (48,523 at peak, 60,165 added, 11,642 deleted).
% 176.94/177.17  ; Path-index has 11,310 nodes (11,310 at peak, 12,238 added, 928 deleted).
% 176.94/177.17  ; Trie-index has 48,523 entries (48,523 at peak, 60,165 added, 11,642 deleted).
% 176.94/177.17  ; Trie-index has 168,303 nodes (168,303 at peak, 205,844 added, 37,541 deleted).
% 176.94/177.17  ; Retrieved 240,506 generalization terms in 913,003 calls.
% 176.94/177.17  ; Retrieved 40,878 instance terms in 40,541 calls.
% 176.94/177.17  ; Retrieved 332,494,986 unifiable terms in 7,658,751 calls.
% 176.94/177.17  ; 
% 176.94/177.17  ; The agenda of rows to process has 197 entries:
% 176.94/177.17  ;     1 with value 11              4 with value 16              22 with value 18
% 176.94/177.17  ;     4 with value 15             45 with value 17             121 with value 19
% 176.94/177.17  ; The agenda of rows to give has 32641 entries:
% 176.94/177.17  ;     3 with value (4 8)         363 with value (4 19)        3103 with value (4 30)
% 176.94/177.17  ;    80 with value (4 9)         764 with value (4 20)        6101 with value (4 31)
% 176.94/177.17  ;    63 with value (4 10)        631 with value (4 21)        2218 with value (4 32)
% 176.94/177.17  ;    59 with value (4 11)        486 with value (4 22)         278 with value (4 33)
% 176.94/177.17  ;    98 with value (4 12)        404 with value (4 23)        2608 with value (4 34)
% 176.94/177.17  ;   129 with value (4 13)       1324 with value (4 24)           6 with value (4 35)
% 176.94/177.17  ;   245 with value (4 14)       1265 with value (4 25)           1 with value (4 37)
% 176.94/177.17  ;   330 with value (4 15)       1942 with value (4 26)           8 with value (4 38)
% 176.94/177.17  ;   153 with value (4 16)       2479 with value (4 27)           6 with value (4 42)
% 176.94/177.17  ;   577 with value (4 17)       1444 with value (4 28)          48 with value (4 43)
% 176.94/177.17  ;   499 with value (4 18)       4926 with value (4 29)
% 176.94/177.17  Evaluation took:
% 176.94/177.17    176.712 seconds of real time
% 176.94/177.17    175.12878 seconds of user run time
% 176.94/177.17    1.591771 seconds of system run time
% 176.94/177.17    [Run times include 21.592 seconds GC run time.]
% 176.94/177.17    0 calls to %EVAL
% 176.94/177.17    0 page faults and
% 176.94/177.17    19,651,949,744 bytes consed.
% 176.94/177.17  :PROOF-FOUND
% 176.94/177.17  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T00:56:46
% 176.94/177.17  :PROOF-FOUND
% 176.94/177.17  * 
%------------------------------------------------------------------------------