TSTP Solution File: SWC092+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC092+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 21:56:50 EDT 2022

% Result   : Theorem 1.19s 1.41s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   24 (  16 unt;   1 nHn;  24 RR)
%            Number of literals    :   42 (  14 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    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   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(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(188,negated_conjecture,
    ssList('SKOLEMAAAQ48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAQ49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAQ49' = 'SKOLEMAAAQ51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAQ48' = 'SKOLEMAAAQ50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAQ49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ segmentP('SKOLEMAAAQ49',X)
    | ~ segmentP('SKOLEMAAAQ48',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ssList('SKOLEMAAAQ52'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,negated_conjecture,
    app('SKOLEMAAAQ50','SKOLEMAAAQ52') = 'SKOLEMAAAQ51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    app('SKOLEMAAAQ48','SKOLEMAAAQ52') = 'SKOLEMAAAQ49',
    inference('REWRITE',[status(thm)],[197,192,193,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( nil = 'SKOLEMAAAQ51'
    | nil != 'SKOLEMAAAQ50' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    ( nil = 'SKOLEMAAAQ49'
    | nil != 'SKOLEMAAAQ48' ),
    inference('REWRITE',[status(thm)],[203,193,192,theory(equality)]) ).

cnf(225,plain,
    segmentP('SKOLEMAAAQ48','SKOLEMAAAQ48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(250,plain,
    app(nil,'SKOLEMAAAQ48') = 'SKOLEMAAAQ48',
    inference('HYPERRESOLVE',[status(thm)],[98,188]) ).

cnf(415,plain,
    nil != 'SKOLEMAAAQ49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(416,plain,
    nil != 'SKOLEMAAAQ48',
    inference('REWRITE',[status(thm)],[204,415]) ).

cnf(434,plain,
    neq('SKOLEMAAAQ48',nil),
    inference('UR-RESOLVE',[status(thm)],[82,188,84,416]) ).

cnf(1016,plain,
    segmentP('SKOLEMAAAQ49','SKOLEMAAAQ48'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,225,188,188,84,196]),198,250,theory(equality)]) ).

cnf(1208,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[195,434,188,225]),1016]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SWC092+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.10  % Command  : run-snark %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sun Jun 12 21:20:41 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.38  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  * 
% 0.14/0.39  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T21:20:41
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-12T21:20:41
% 1.19/1.41  
% 1.19/1.41  
% 1.19/1.41  #||
% 1.19/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.19/1.41  % SZS output start Refutation
% See solution above
% 1.19/1.41  ||#
% 1.19/1.41  
% 1.19/1.41  ; Summary of computation:
% 1.19/1.41  ;      2956 formulas have been input or derived (from 242 formulas).
% 1.19/1.41  ;      1208 (41%) were retained.  Of these,
% 1.19/1.41  ;           58 ( 5%) were simplified or subsumed later,
% 1.19/1.41  ;         1150 (95%) are still being kept.
% 1.19/1.41  ; 
% 1.19/1.41  ; Run time in seconds excluding printing time:
% 1.19/1.41  ;     0.017   2%   Read assertion file          (1 call)
% 1.19/1.41  ;     0.005   0%   Assert                       (96 calls)
% 1.19/1.41  ;     0.073   7%   Process new row              (2,771 calls)
% 1.19/1.41  ;     0.816  80%   Resolution                   (482 calls)
% 1.19/1.41  ;     0.003   0%   Paramodulation               (241 calls)
% 1.19/1.41  ;     0.005   0%   Condensing                   (350 calls)
% 1.19/1.41  ;     0.006   1%   Forward subsumption          (350 calls)
% 1.19/1.41  ;     0.004   0%   Backward subsumption         (347 calls)
% 1.19/1.41  ;     0.000   0%   Clause clause subsumption    (79 calls)
% 1.19/1.41  ;     0.044   4%   Forward simplification       (2,771 calls)
% 1.19/1.41  ;     0.009   1%   Backward simplification      (1,204 calls)
% 1.19/1.41  ;     0.002   0%   Ordering                     (477 calls)
% 1.19/1.41  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.19/1.41  ;     0.000   0%   Purity testing               (1 call)
% 1.19/1.41  ;     0.030   3%   Other
% 1.19/1.41  ;     1.014        Total
% 1.19/1.41  ;     1.016        Real time
% 1.19/1.41  ; 
% 1.19/1.41  ; Term-hash-array has 2,012 terms in all.
% 1.19/1.41  ; Feature-vector-row-index has 332 entries (332 at peak, 347 added, 15 deleted).
% 1.19/1.41  ; Feature-vector-row-index has 1,352 nodes (1,352 at peak, 1,386 added, 34 deleted).
% 1.19/1.41  ;  Retrieved 142 possibly forward subsuming rows in 350 calls.
% 1.19/1.41  ;  Retrieved 100 possibly backward subsumed rows in 347 calls.
% 1.19/1.41  ; Path-index has 1,968 entries (1,968 at peak, 2,047 added, 79 deleted).
% 1.19/1.41  ; Path-index has 2,075 nodes (2,075 at peak, 2,127 added, 52 deleted).
% 1.19/1.41  ; Trie-index has 1,968 entries (1,968 at peak, 2,047 added, 79 deleted).
% 1.19/1.41  ; Trie-index has 5,093 nodes (5,093 at peak, 5,192 added, 99 deleted).
% 1.19/1.41  ; Retrieved 3,639 generalization terms in 12,039 calls.
% 1.19/1.41  ; Retrieved 865 instance terms in 856 calls.
% 1.19/1.41  ; Retrieved 2,129,184 unifiable terms in 55,675 calls.
% 1.19/1.41  ; 
% 1.19/1.41  ; The agenda of rows to give has 909 entries:
% 1.19/1.41  ;     9 with value (4 5)          74 with value (4 12)          49 with value (4 18)
% 1.19/1.41  ;    13 with value (4 6)          67 with value (4 13)          48 with value (4 19)
% 1.19/1.41  ;    24 with value (4 7)          18 with value (4 14)          24 with value (4 20)
% 1.19/1.41  ;    52 with value (4 8)          80 with value (4 15)          72 with value (4 21)
% 1.19/1.41  ;   170 with value (4 9)          15 with value (4 16)          75 with value (4 22)
% 1.19/1.41  ;    19 with value (4 10)         42 with value (4 17)          17 with value (4 25)
% 1.19/1.41  ;    41 with value (4 11)
% 1.19/1.41  Evaluation took:
% 1.19/1.41    1.016 seconds of real time
% 1.19/1.41    0.976115 seconds of user run time
% 1.19/1.41    0.039914 seconds of system run time
% 1.19/1.41    [Run times include 0.049 seconds GC run time.]
% 1.19/1.41    0 calls to %EVAL
% 1.19/1.41    0 page faults and
% 1.19/1.41    92,408,232 bytes consed.
% 1.19/1.41  :PROOF-FOUND
% 1.19/1.41  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T21:20:42
% 1.19/1.41  :PROOF-FOUND
% 1.19/1.41  * 
%------------------------------------------------------------------------------