TSTP Solution File: SWC363+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC363+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 21:58:25 EDT 2022

% Result   : Theorem 166.11s 166.35s
% Output   : Refutation 166.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   25 (  16 unt;   0 nHn;  25 RR)
%            Number of literals    :   47 (  12 equ;  24 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ~ memberP(X,Y)
    | ssList('SKOLEMAAAU3'(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

cnf(7,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ~ memberP(X,Y)
    | ssList('SKOLEMAAAU4'(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

cnf(8,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ~ memberP(X,Y)
    | app('SKOLEMAAAU3'(Y,X),cons(Y,'SKOLEMAAAU4'(Y,X))) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

cnf(22,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | segmentP(X,Y)
    | ~ ssList(Z)
    | ~ ssList(U)
    | app(app(Z,Y),U) != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

cnf(170,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | cons(Y,X) = app(cons(Y,nil),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

cnf(171,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) = app(X,app(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAU48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAU49'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAU49' = 'SKOLEMAAAU51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAU48' = 'SKOLEMAAAU50',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAU49',nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ~ segmentP('SKOLEMAAAU49','SKOLEMAAAU48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,negated_conjecture,
    ( ssItem('SKOLEMAAAU52')
    | ~ neq('SKOLEMAAAU51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ssItem('SKOLEMAAAU52'),
    inference('REWRITE',[status(thm)],[198,194,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( cons('SKOLEMAAAU52',nil) = 'SKOLEMAAAU50'
    | ~ neq('SKOLEMAAAU51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    cons('SKOLEMAAAU52',nil) = 'SKOLEMAAAU48',
    inference('REWRITE',[status(thm)],[200,194,192,193,theory(equality)]) ).

cnf(202,negated_conjecture,
    ( memberP('SKOLEMAAAU51','SKOLEMAAAU52')
    | ~ neq('SKOLEMAAAU51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(203,plain,
    memberP('SKOLEMAAAU49','SKOLEMAAAU52'),
    inference('REWRITE',[status(thm)],[202,194,192,theory(equality)]) ).

cnf(393,plain,
    ssList('SKOLEMAAAU3'('SKOLEMAAAU52','SKOLEMAAAU49')),
    inference('HYPERRESOLVE',[status(thm)],[6,189,199,203]) ).

cnf(394,plain,
    ssList('SKOLEMAAAU4'('SKOLEMAAAU52','SKOLEMAAAU49')),
    inference('HYPERRESOLVE',[status(thm)],[7,189,199,203]) ).

cnf(493,plain,
    app('SKOLEMAAAU3'('SKOLEMAAAU52','SKOLEMAAAU49'),cons('SKOLEMAAAU52','SKOLEMAAAU4'('SKOLEMAAAU52','SKOLEMAAAU49'))) = 'SKOLEMAAAU49',
    inference('HYPERRESOLVE',[status(thm)],[8,189,199,203]) ).

cnf(35476,plain,
    app(app('SKOLEMAAAU3'('SKOLEMAAAU52','SKOLEMAAAU49'),'SKOLEMAAAU48'),'SKOLEMAAAU4'('SKOLEMAAAU52','SKOLEMAAAU49')) != 'SKOLEMAAAU49',
    inference('UR-RESOLVE',[status(thm)],[22,394,189,188,195,393]) ).

cnf(35505,plain,
    cons('SKOLEMAAAU52','SKOLEMAAAU4'('SKOLEMAAAU52','SKOLEMAAAU49')) = app('SKOLEMAAAU48','SKOLEMAAAU4'('SKOLEMAAAU52','SKOLEMAAAU49')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[170,394,199]),201,theory(equality)]) ).

cnf(35506,plain,
    app('SKOLEMAAAU3'('SKOLEMAAAU52','SKOLEMAAAU49'),app('SKOLEMAAAU48','SKOLEMAAAU4'('SKOLEMAAAU52','SKOLEMAAAU49'))) = 'SKOLEMAAAU49',
    inference('REWRITE',[status(thm)],[493,35505,theory(equality)]) ).

cnf(40526,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,394,393,188]),35476,35506,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWC363+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n029.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 : Sun Jun 12 18:05:54 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-12T18:05:54
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-12T18:05:54
% 166.11/166.35  
% 166.11/166.35  
% 166.11/166.35  #||
% 166.11/166.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 166.11/166.35  % SZS output start Refutation
% See solution above
% 166.11/166.35  ||#
% 166.11/166.35  
% 166.11/166.35  ; Summary of computation:
% 166.11/166.35  ;    132738 formulas have been input or derived (from 291 formulas).
% 166.11/166.35  ;     40526 (31%) were retained.  Of these,
% 166.11/166.35  ;         9821 (24%) were simplified or subsumed later,
% 166.11/166.35  ;        30705 (76%) are still being kept.
% 166.11/166.35  ; 
% 166.11/166.35  ; Run time in seconds excluding printing time:
% 166.11/166.35  ;     0.027   0%   Read assertion file          (1 call)
% 166.11/166.35  ;     0.008   0%   Assert                       (96 calls)
% 166.11/166.35  ;     4.046   2%   Process new row              (123,809 calls)
% 166.11/166.35  ;   154.377  93%   Resolution                   (580 calls)
% 166.11/166.35  ;     0.006   0%   Paramodulation               (290 calls)
% 166.11/166.35  ;     0.006   0%   Condensing                   (962 calls)
% 166.11/166.35  ;     0.026   0%   Forward subsumption          (962 calls)
% 166.11/166.35  ;     0.008   0%   Backward subsumption         (871 calls)
% 166.11/166.35  ;     0.001   0%   Clause clause subsumption    (467 calls)
% 166.11/166.35  ;     3.907   2%   Forward simplification       (122,956 calls)
% 166.11/166.35  ;     3.052   2%   Backward simplification      (40,522 calls)
% 166.11/166.35  ;     0.013   0%   Ordering                     (3,443 calls)
% 166.11/166.35  ;     0.001   0%   Sortal reasoning             (32 calls)
% 166.11/166.35  ;     0.001   0%   Purity testing               (1 call)
% 166.11/166.35  ;     0.376   0%   Other
% 166.11/166.35  ;   165.855        Total
% 166.11/166.35  ;   165.864        Real time
% 166.11/166.35  ; 
% 166.11/166.35  ; Term-hash-array has 54,079 terms in all.
% 166.11/166.35  ; Feature-vector-row-index has 698 entries (701 at peak, 871 added, 173 deleted).
% 166.11/166.35  ; Feature-vector-row-index has 3,440 nodes (3,449 at peak, 4,450 added, 1,010 deleted).
% 166.11/166.35  ;  Retrieved 522 possibly forward subsuming rows in 962 calls.
% 166.11/166.35  ;  Retrieved 272 possibly backward subsumed rows in 871 calls.
% 166.11/166.35  ; Path-index has 41,444 entries (41,444 at peak, 54,319 added, 12,875 deleted).
% 166.11/166.35  ; Path-index has 7,297 nodes (7,307 at peak, 8,383 added, 1,086 deleted).
% 166.11/166.35  ; Trie-index has 41,444 entries (41,444 at peak, 54,319 added, 12,875 deleted).
% 166.11/166.35  ; Trie-index has 117,194 nodes (117,194 at peak, 152,943 added, 35,749 deleted).
% 166.11/166.35  ; Retrieved 294,398 generalization terms in 1,071,992 calls.
% 166.11/166.35  ; Retrieved 39,944 instance terms in 39,650 calls.
% 166.11/166.35  ; Retrieved 331,441,158 unifiable terms in 7,844,987 calls.
% 166.11/166.35  ; 
% 166.11/166.35  ; The agenda of rows to process has 7880 entries:
% 166.11/166.35  ;  1556 with value 25            385 with value 28               1 with value 37
% 166.11/166.35  ;  5307 with value 26            384 with value 29               6 with value 42
% 166.11/166.35  ;   225 with value 27             16 with value 30
% 166.11/166.35  ; The agenda of rows to give has 30419 entries:
% 166.11/166.35  ;     1 with value (4 7)         362 with value (4 18)        4205 with value (4 28)
% 166.11/166.35  ;    60 with value (4 8)        1055 with value (4 19)        2045 with value (4 29)
% 166.11/166.35  ;   119 with value (4 9)         651 with value (4 20)        1778 with value (4 30)
% 166.11/166.35  ;    44 with value (4 10)       1693 with value (4 21)        1373 with value (4 31)
% 166.11/166.35  ;   163 with value (4 11)       1208 with value (4 22)         101 with value (4 32)
% 166.11/166.35  ;   222 with value (4 12)       2329 with value (4 23)         689 with value (4 33)
% 166.11/166.35  ;   153 with value (4 13)       3056 with value (4 24)           6 with value (4 35)
% 166.11/166.35  ;   401 with value (4 14)       1979 with value (4 25)           3 with value (4 36)
% 166.11/166.35  ;   114 with value (4 15)       3679 with value (4 26)           8 with value (4 37)
% 166.11/166.35  ;   587 with value (4 16)       1606 with value (4 27)          30 with value (4 42)
% 166.11/166.35  ;   699 with value (4 17)
% 166.11/166.35  Evaluation took:
% 166.11/166.35    165.867 seconds of real time
% 166.11/166.35    164.21378 seconds of user run time
% 166.11/166.35    1.645981 seconds of system run time
% 166.11/166.35    [Run times include 16.514 seconds GC run time.]
% 166.11/166.35    0 calls to %EVAL
% 166.11/166.35    0 page faults and
% 166.11/166.35    16,583,963,928 bytes consed.
% 166.11/166.35  :PROOF-FOUND
% 166.11/166.35  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T18:08:40
% 166.11/166.35  :PROOF-FOUND
% 166.11/166.35  * 
%------------------------------------------------------------------------------