TSTP Solution File: SWC086+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC086+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 21:56:48 EDT 2022

% Result   : Theorem 0.40s 0.61s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   18 (  11 unt;   4 nHn;  18 RR)
%            Number of literals    :   29 (   8 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(135,axiom,
    ( ~ ssList(X)
    | segmentP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).

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,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ segmentP('SKOLEMAAAU49',X)
    | ~ segmentP('SKOLEMAAAU48',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ( nil = 'SKOLEMAAAU51'
    | neq('SKOLEMAAAU50',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( nil = 'SKOLEMAAAU49'
    | neq('SKOLEMAAAU48',nil) ),
    inference('REWRITE',[status(thm)],[196,193,192,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( nil = 'SKOLEMAAAU51'
    | segmentP('SKOLEMAAAU51','SKOLEMAAAU50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ( nil = 'SKOLEMAAAU49'
    | segmentP('SKOLEMAAAU49','SKOLEMAAAU48') ),
    inference('REWRITE',[status(thm)],[198,193,192,theory(equality)]) ).

cnf(219,plain,
    segmentP('SKOLEMAAAU48','SKOLEMAAAU48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(357,plain,
    nil != 'SKOLEMAAAU49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(358,plain,
    neq('SKOLEMAAAU48',nil),
    inference('REWRITE',[status(thm)],[197,357]) ).

cnf(359,plain,
    segmentP('SKOLEMAAAU49','SKOLEMAAAU48'),
    inference('REWRITE',[status(thm)],[199,357]) ).

cnf(397,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[195,188,358,359]),219]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWC086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 05:35:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T05:35:19
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-12T05:35:19
% 0.40/0.61  
% 0.40/0.61  
% 0.40/0.61  #||
% 0.40/0.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.61  % SZS output start Refutation
% See solution above
% 0.40/0.61  ||#
% 0.40/0.61  
% 0.40/0.61  ; Summary of computation:
% 0.40/0.61  ;       550 formulas have been input or derived (from 122 formulas).
% 0.40/0.61  ;       397 (72%) were retained.  Of these,
% 0.40/0.61  ;           26 ( 7%) were simplified or subsumed later,
% 0.40/0.61  ;          371 (93%) are still being kept.
% 0.40/0.61  ; 
% 0.40/0.61  ; Run time in seconds excluding printing time:
% 0.40/0.61  ;     0.026  20%   Read assertion file          (1 call)
% 0.40/0.61  ;     0.008   6%   Assert                       (96 calls)
% 0.40/0.61  ;     0.019  14%   Process new row              (543 calls)
% 0.40/0.61  ;     0.018  14%   Resolution                   (242 calls)
% 0.40/0.61  ;     0.002   2%   Paramodulation               (121 calls)
% 0.40/0.61  ;     0.000   0%   Factoring                    (4 calls)
% 0.40/0.61  ;     0.006   5%   Condensing                   (269 calls)
% 0.40/0.61  ;     0.007   5%   Forward subsumption          (269 calls)
% 0.40/0.61  ;     0.009   7%   Backward subsumption         (268 calls)
% 0.40/0.61  ;     0.000   0%   Clause clause subsumption    (64 calls)
% 0.40/0.61  ;     0.008   6%   Forward simplification       (543 calls)
% 0.40/0.61  ;     0.001   1%   Backward simplification      (393 calls)
% 0.40/0.61  ;     0.001   1%   Ordering                     (198 calls)
% 0.40/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.40/0.61  ;     0.027  20%   Other
% 0.40/0.61  ;     0.132        Total
% 0.40/0.61  ;     0.134        Real time
% 0.40/0.61  ; 
% 0.40/0.61  ; Term-hash-array has 638 terms in all.
% 0.40/0.61  ; Feature-vector-row-index has 252 entries (266 at peak, 268 added, 16 deleted).
% 0.40/0.61  ; Feature-vector-row-index has 785 nodes (826 at peak, 832 added, 47 deleted).
% 0.40/0.61  ;  Retrieved 117 possibly forward subsuming rows in 269 calls.
% 0.40/0.61  ;  Retrieved 88 possibly backward subsumed rows in 268 calls.
% 0.40/0.61  ; Path-index has 639 entries (639 at peak, 669 added, 30 deleted).
% 0.40/0.61  ; Path-index has 1,220 nodes (1,220 at peak, 1,250 added, 30 deleted).
% 0.40/0.61  ; Trie-index has 639 entries (639 at peak, 669 added, 30 deleted).
% 0.40/0.61  ; Trie-index has 1,297 nodes (1,297 at peak, 1,327 added, 30 deleted).
% 0.40/0.61  ; Retrieved 160 generalization terms in 890 calls.
% 0.40/0.61  ; Retrieved 124 instance terms in 124 calls.
% 0.40/0.61  ; Retrieved 23,901 unifiable terms in 1,311 calls.
% 0.40/0.61  ; 
% 0.40/0.61  ; The agenda of input rows to give has 78 entries:
% 0.40/0.61  ;     9 with value 16              5 with value 22               1 with value 29
% 0.40/0.61  ;     4 with value 17              2 with value 23               1 with value 32
% 0.40/0.61  ;     7 with value 18              3 with value 24               1 with value 35
% 0.40/0.61  ;     2 with value 19              8 with value 25               3 with value 40
% 0.40/0.61  ;    11 with value 20              3 with value 26               3 with value 44
% 0.40/0.61  ;     9 with value 21              6 with value 27
% 0.40/0.61  ; The agenda of rows to give has 175 entries:
% 0.40/0.61  ;    36 with value (4 5)          19 with value (4 8)           12 with value (4 10)
% 0.40/0.61  ;     8 with value (4 6)          70 with value (4 9)            6 with value (4 11)
% 0.40/0.61  ;    24 with value (4 7)
% 0.40/0.61  Evaluation took:
% 0.40/0.61    0.134 seconds of real time
% 0.40/0.61    0.126069 seconds of user run time
% 0.40/0.61    0.007906 seconds of system run time
% 0.40/0.61    0 calls to %EVAL
% 0.40/0.61    0 page faults and
% 0.40/0.61    7,791,448 bytes consed.
% 0.40/0.61  :PROOF-FOUND
% 0.40/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T05:35:19
% 0.40/0.61  :PROOF-FOUND
% 0.40/0.61  * 
%------------------------------------------------------------------------------