TSTP Solution File: SWC090+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC090+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 10.63s 10.83s
% Output   : Refutation 10.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   34 (  27 unt;   2 nHn;  34 RR)
%            Number of literals    :   49 (  16 equ;  16 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   :   10 (   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,
    neq('SKOLEMAAAW49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ segmentP('SKOLEMAAAW49',X)
    | ~ segmentP('SKOLEMAAAW48',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ssList('SKOLEMAAAW52'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,negated_conjecture,
    ssList('SKOLEMAAAW53'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,negated_conjecture,
    app('SKOLEMAAAW52','SKOLEMAAAW53') = 'SKOLEMAAAW51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    app('SKOLEMAAAW52','SKOLEMAAAW53') = 'SKOLEMAAAW49',
    inference('REWRITE',[status(thm)],[198,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    app('SKOLEMAAAW53','SKOLEMAAAW52') = 'SKOLEMAAAW50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    app('SKOLEMAAAW53','SKOLEMAAAW52') = 'SKOLEMAAAW48',
    inference('REWRITE',[status(thm)],[200,193,theory(equality)]) ).

cnf(224,plain,
    segmentP('SKOLEMAAAW53','SKOLEMAAAW53'),
    inference('HYPERRESOLVE',[status(thm)],[135,197]) ).

cnf(225,plain,
    segmentP('SKOLEMAAAW52','SKOLEMAAAW52'),
    inference('HYPERRESOLVE',[status(thm)],[135,196]) ).

cnf(226,plain,
    segmentP('SKOLEMAAAW49','SKOLEMAAAW49'),
    inference('HYPERRESOLVE',[status(thm)],[135,189]) ).

cnf(251,plain,
    app(nil,'SKOLEMAAAW53') = 'SKOLEMAAAW53',
    inference('HYPERRESOLVE',[status(thm)],[98,197]) ).

cnf(257,plain,
    app('SKOLEMAAAW52',nil) = 'SKOLEMAAAW52',
    inference('HYPERRESOLVE',[status(thm)],[175,196]) ).

cnf(258,plain,
    app('SKOLEMAAAW49',nil) = 'SKOLEMAAAW49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(259,plain,
    app('SKOLEMAAAW48',nil) = 'SKOLEMAAAW48',
    inference('HYPERRESOLVE',[status(thm)],[175,188]) ).

cnf(493,plain,
    ( neq('SKOLEMAAAW53',nil)
    | nil = 'SKOLEMAAAW53' ),
    inference('HYPERRESOLVE',[status(thm)],[82,197,84]) ).

cnf(1375,plain,
    segmentP('SKOLEMAAAW49','SKOLEMAAAW53'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,224,197,197,196,84]),258,199,theory(equality)]) ).

cnf(1384,plain,
    segmentP('SKOLEMAAAW48','SKOLEMAAAW53'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,224,197,197,84,196]),201,251,theory(equality)]) ).

cnf(1392,plain,
    segmentP('SKOLEMAAAW48','SKOLEMAAAW52'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,225,196,196,197,84]),259,201,theory(equality)]) ).

cnf(1408,plain,
    ~ segmentP('SKOLEMAAAW48','SKOLEMAAAW49'),
    inference('UR-RESOLVE',[status(thm)],[195,226,189,194]) ).

cnf(3477,plain,
    ~ neq('SKOLEMAAAW53',nil),
    inference('UR-RESOLVE',[status(thm)],[195,1384,197,1375]) ).

cnf(3478,plain,
    nil = 'SKOLEMAAAW53',
    inference('REWRITE',[status(thm)],[493,3477]) ).

cnf(3479,plain,
    'SKOLEMAAAW52' = 'SKOLEMAAAW49',
    inference('REWRITE',[status(thm)],[199,257,3478,theory(equality)]) ).

cnf(3547,plain,
    $false,
    inference('REWRITE',[status(thm)],[1392,1408,3479,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC090+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n006.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 11 22:27:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T22:27:12
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-11T22:27:12
% 10.63/10.83  
% 10.63/10.83  
% 10.63/10.83  #||
% 10.63/10.83  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.63/10.83  % SZS output start Refutation
% See solution above
% 10.63/10.83  ||#
% 10.63/10.83  
% 10.63/10.83  ; Summary of computation:
% 10.63/10.83  ;     11975 formulas have been input or derived (from 256 formulas).
% 10.63/10.83  ;      3547 (30%) were retained.  Of these,
% 10.63/10.83  ;         2486 (70%) were simplified or subsumed later,
% 10.63/10.83  ;         1061 (30%) are still being kept.
% 10.63/10.83  ; 
% 10.63/10.83  ; Run time in seconds excluding printing time:
% 10.63/10.83  ;     0.028   0%   Read assertion file          (1 call)
% 10.63/10.83  ;     0.007   0%   Assert                       (96 calls)
% 10.63/10.83  ;     0.216   2%   Process new row              (10,387 calls)
% 10.63/10.83  ;     9.708  94%   Resolution                   (510 calls)
% 10.63/10.83  ;     0.004   0%   Paramodulation               (255 calls)
% 10.63/10.83  ;     0.008   0%   Condensing                   (761 calls)
% 10.63/10.83  ;     0.010   0%   Forward subsumption          (761 calls)
% 10.63/10.83  ;     0.010   0%   Backward subsumption         (623 calls)
% 10.63/10.83  ;     0.000   0%   Clause clause subsumption    (288 calls)
% 10.63/10.83  ;     0.163   2%   Forward simplification       (10,042 calls)
% 10.63/10.83  ;     0.133   1%   Backward simplification      (3,545 calls)
% 10.63/10.83  ;     0.004   0%   Ordering                     (1,326 calls)
% 10.63/10.83  ;     0.000   0%   Sortal reasoning             (32 calls)
% 10.63/10.83  ;     0.001   0%   Purity testing               (1 call)
% 10.63/10.83  ;     0.058   1%   Other
% 10.63/10.83  ;    10.350        Total
% 10.63/10.83  ;    10.351        Real time
% 10.63/10.83  ; 
% 10.63/10.83  ; Term-hash-array has 6,331 terms in all.
% 10.63/10.83  ; Feature-vector-row-index has 337 entries (529 at peak, 623 added, 286 deleted).
% 10.63/10.83  ; Feature-vector-row-index has 1,430 nodes (2,382 at peak, 2,920 added, 1,490 deleted).
% 10.63/10.83  ;  Retrieved 409 possibly forward subsuming rows in 761 calls.
% 10.63/10.83  ;  Retrieved 153 possibly backward subsumed rows in 623 calls.
% 10.63/10.83  ; Path-index has 1,946 entries (4,639 at peak, 6,425 added, 4,479 deleted).
% 10.63/10.83  ; Path-index has 2,810 nodes (3,529 at peak, 3,944 added, 1,134 deleted).
% 10.63/10.83  ; Trie-index has 1,946 entries (4,639 at peak, 6,425 added, 4,479 deleted).
% 10.63/10.83  ; Trie-index has 6,222 nodes (13,392 at peak, 18,498 added, 12,276 deleted).
% 10.63/10.83  ; Retrieved 15,670 generalization terms in 56,145 calls.
% 10.63/10.83  ; Retrieved 2,970 instance terms in 2,921 calls.
% 10.63/10.83  ; Retrieved 27,797,959 unifiable terms in 540,074 calls.
% 10.63/10.83  ; 
% 10.63/10.83  ; The agenda of backward simplifiable rows to process has 985 entries:
% 10.63/10.83  ;   985 with value 0
% 10.63/10.83  ; The agenda of rows to process has 79 entries:
% 10.63/10.83  ;     3 with value 7              10 with value 14               1 with value 16
% 10.63/10.83  ;     4 with value 9              10 with value 15               1 with value 18
% 10.63/10.83  ;    50 with value 13
% 10.63/10.83  ; The agenda of input rows to give has 1 entry:
% 10.63/10.83  ;     1 with value 4
% 10.63/10.83  ; The agenda of rows to give has 830 entries:
% 10.63/10.83  ;     5 with value (4 5)          57 with value (4 13)          51 with value (4 21)
% 10.63/10.83  ;     8 with value (4 6)          65 with value (4 14)          21 with value (4 22)
% 10.63/10.83  ;    19 with value (4 7)          54 with value (4 15)          45 with value (4 23)
% 10.63/10.83  ;    41 with value (4 8)          32 with value (4 16)          22 with value (4 24)
% 10.63/10.83  ;   110 with value (4 9)          57 with value (4 17)          26 with value (4 25)
% 10.63/10.83  ;    23 with value (4 10)         33 with value (4 18)           5 with value (4 26)
% 10.63/10.83  ;    45 with value (4 11)         38 with value (4 19)           1 with value (4 31)
% 10.63/10.83  ;    38 with value (4 12)         28 with value (4 20)           6 with value (4 35)
% 10.63/10.83  Evaluation took:
% 10.63/10.83    10.351 seconds of real time
% 10.63/10.83    10.191124 seconds of user run time
% 10.63/10.83    0.160924 seconds of system run time
% 10.63/10.83    [Run times include 0.502 seconds GC run time.]
% 10.63/10.83    0 calls to %EVAL
% 10.63/10.83    0 page faults and
% 10.63/10.83    1,079,115,064 bytes consed.
% 10.63/10.83  :PROOF-FOUND
% 10.63/10.83  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T22:27:22
% 10.63/10.83  :PROOF-FOUND
% 10.63/10.83  * 
%------------------------------------------------------------------------------