TSTP Solution File: SWC331+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC331+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 21:58:12 EDT 2022

% Result   : Theorem 0.51s 0.73s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  13 unt;   0 nHn;  16 RR)
%            Number of literals    :   23 (   7 equ;   9 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   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(22,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | segmentP(X,Y)
    | ~ ssList(Z)
    | ~ ssList(U)
    | app(app(Z,Y),U) != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

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(188,negated_conjecture,
    ssList('SKOLEMAAAU48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAU49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAU49' = 'SKOLEMAAAU51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAU48' = 'SKOLEMAAAU50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    ssList('SKOLEMAAAU52'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    app('SKOLEMAAAU50','SKOLEMAAAU52') = 'SKOLEMAAAU51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    app('SKOLEMAAAU48','SKOLEMAAAU52') = 'SKOLEMAAAU49',
    inference('REWRITE',[status(thm)],[195,192,193,theory(equality)]) ).

cnf(197,negated_conjecture,
    equalelemsP('SKOLEMAAAU50'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    equalelemsP('SKOLEMAAAU48'),
    inference('REWRITE',[status(thm)],[197,193,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( ~ segmentP('SKOLEMAAAU49','SKOLEMAAAU48')
    | ~ equalelemsP('SKOLEMAAAU48') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    ~ segmentP('SKOLEMAAAU49','SKOLEMAAAU48'),
    inference('REWRITE',[status(thm)],[203,198]) ).

cnf(250,plain,
    app(nil,'SKOLEMAAAU48') = 'SKOLEMAAAU48',
    inference('HYPERRESOLVE',[status(thm)],[98,188]) ).

cnf(665,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[22,189,188,204,84,194]),196,250,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC331+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 04:27:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T04:27:20
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-12T04:27:20
% 0.51/0.73  
% 0.51/0.73  
% 0.51/0.73  #||
% 0.51/0.73  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.73  % SZS output start Refutation
% See solution above
% 0.51/0.73  ||#
% 0.51/0.73  
% 0.51/0.73  ; Summary of computation:
% 0.51/0.73  ;      1130 formulas have been input or derived (from 181 formulas).
% 0.51/0.73  ;       665 (59%) were retained.  Of these,
% 0.51/0.73  ;           37 ( 6%) were simplified or subsumed later,
% 0.51/0.73  ;          628 (94%) are still being kept.
% 0.51/0.73  ; 
% 0.51/0.73  ; Run time in seconds excluding printing time:
% 0.51/0.73  ;     0.026  10%   Read assertion file          (1 call)
% 0.51/0.73  ;     0.009   3%   Assert                       (96 calls)
% 0.51/0.73  ;     0.040  15%   Process new row              (1,055 calls)
% 0.51/0.73  ;     0.118  43%   Resolution                   (360 calls)
% 0.51/0.73  ;     0.002   1%   Paramodulation               (180 calls)
% 0.51/0.73  ;     0.002   1%   Condensing                   (359 calls)
% 0.51/0.73  ;     0.006   2%   Forward subsumption          (359 calls)
% 0.51/0.73  ;     0.007   3%   Backward subsumption         (356 calls)
% 0.51/0.73  ;     0.001   0%   Clause clause subsumption    (81 calls)
% 0.51/0.73  ;     0.029  11%   Forward simplification       (1,055 calls)
% 0.51/0.73  ;     0.004   1%   Backward simplification      (660 calls)
% 0.51/0.73  ;     0.000   0%   Ordering                     (414 calls)
% 0.51/0.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.51/0.73  ;     0.001   0%   Purity testing               (1 call)
% 0.51/0.73  ;     0.027  10%   Other
% 0.51/0.73  ;     0.272        Total
% 0.51/0.73  ;     0.273        Real time
% 0.51/0.73  ; 
% 0.51/0.73  ; Term-hash-array has 1,150 terms in all.
% 0.51/0.73  ; Feature-vector-row-index has 356 entries (356 at peak, 356 added, 0 deleted).
% 0.51/0.73  ; Feature-vector-row-index has 1,211 nodes (1,211 at peak, 1,211 added, 0 deleted).
% 0.51/0.73  ;  Retrieved 146 possibly forward subsuming rows in 359 calls.
% 0.51/0.73  ;  Retrieved 108 possibly backward subsumed rows in 356 calls.
% 0.51/0.73  ; Path-index has 1,114 entries (1,114 at peak, 1,158 added, 44 deleted).
% 0.51/0.73  ; Path-index has 1,528 nodes (1,528 at peak, 1,545 added, 17 deleted).
% 0.51/0.73  ; Trie-index has 1,114 entries (1,114 at peak, 1,158 added, 44 deleted).
% 0.51/0.73  ; Trie-index has 2,551 nodes (2,551 at peak, 2,609 added, 58 deleted).
% 0.51/0.73  ; Retrieved 728 generalization terms in 3,145 calls.
% 0.51/0.73  ; Retrieved 312 instance terms in 303 calls.
% 0.51/0.73  ; Retrieved 311,210 unifiable terms in 10,107 calls.
% 0.51/0.73  ; 
% 0.51/0.73  ; The agenda of rows to process has 4 entries:
% 0.51/0.73  ;     3 with value 11              1 with value 24
% 0.51/0.73  ; The agenda of input rows to give has 17 entries:
% 0.51/0.73  ;     1 with value 26              1 with value 32               3 with value 40
% 0.51/0.73  ;     6 with value 27              1 with value 35               3 with value 44
% 0.51/0.73  ;     2 with value 29
% 0.51/0.73  ; The agenda of rows to give has 430 entries:
% 0.51/0.73  ;    41 with value (4 5)          33 with value (4 11)           1 with value (4 16)
% 0.51/0.73  ;    24 with value (4 7)           9 with value (4 12)           8 with value (4 17)
% 0.51/0.73  ;    17 with value (4 8)          60 with value (4 13)          24 with value (4 18)
% 0.51/0.73  ;   112 with value (4 9)          68 with value (4 15)           2 with value (4 22)
% 0.51/0.73  ;    31 with value (4 10)
% 0.51/0.73  Evaluation took:
% 0.51/0.73    0.273 seconds of real time
% 0.51/0.73    0.254953 seconds of user run time
% 0.51/0.73    0.018338 seconds of system run time
% 0.51/0.73    [Run times include 0.008 seconds GC run time.]
% 0.51/0.73    0 calls to %EVAL
% 0.51/0.73    0 page faults and
% 0.51/0.73    19,428,912 bytes consed.
% 0.51/0.73  :PROOF-FOUND
% 0.51/0.73  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T04:27:21
% 0.51/0.73  :PROOF-FOUND
% 0.51/0.73  * 
%------------------------------------------------------------------------------