↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : COM016+4 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n027.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  : 300s
% DateTime : Thu Jul 24 10:54:55 AM UTC 2025

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   3 unt;   0 def)
%            Number of atoms       :   58 (   4 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   54 (  13   ~;  24   |;  17   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   0   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,plain,
    ? [W0] :
      ( aElement0(W0)
      & aReductOfIn0(W0,xa,xR)
      & ( W0 = xb
        | aReductOfIn0(xb,W0,xR)
        | ? [W1] :
            ( aElement0(W1)
            & aReductOfIn0(W1,W0,xR)
            & sdtmndtplgtdt0(W1,xR,xb) )
        | sdtmndtplgtdt0(W0,xR,xb)
        | sdtmndtasgtdt0(W0,xR,xb) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m___negated,plain,
    ~ ? [W0] :
        ( aElement0(W0)
        & aReductOfIn0(W0,xa,xR)
        & ( W0 = xb
          | aReductOfIn0(xb,W0,xR)
          | ? [W1] :
              ( aElement0(W1)
              & aReductOfIn0(W1,W0,xR)
              & sdtmndtplgtdt0(W1,xR,xb) )
          | sdtmndtplgtdt0(W0,xR,xb)
          | sdtmndtasgtdt0(W0,xR,xb) ) ),
    inference(negate_conjecture,[status(cth)],[m__]) ).

cnf(88,plain,
    ( ~ aReductOfIn0(X0,xa,xR)
    | ~ aElement0(X0)
    | X0 != xb ),
    inference(cnf,[status(esa)],[m___negated]) ).

cnf(l0,plain,
    ( ~ aReductOfIn0(xb,xa,xR)
    | ~ aElement0(xb)
    | xb != xb ),
    inference(instantiation,[status(thm)],[88]) ).

fof(m__731,plain,
    ( aElement0(xa)
    & aElement0(xb)
    & aElement0(xc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

cnf(57,plain,
    aElement0(xb),
    inference(cnf,[status(esa)],[m__731]) ).

cnf(l1,plain,
    aElement0(xb),
    inference(instantiation,[status(thm)],[57]) ).

fof(m__731_02,plain,
    ( ( aReductOfIn0(xb,xa,xR)
      | ? [W0] :
          ( aElement0(W0)
          & aReductOfIn0(W0,xa,xR)
          & sdtmndtplgtdt0(W0,xR,xb) ) )
    & sdtmndtplgtdt0(xa,xR,xb)
    & ( aReductOfIn0(xc,xa,xR)
      | ? [W0] :
          ( aElement0(W0)
          & aReductOfIn0(W0,xa,xR)
          & sdtmndtplgtdt0(W0,xR,xc) ) )
    & sdtmndtplgtdt0(xa,xR,xc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).

cnf(82,plain,
    ( aReductOfIn0(xb,xa,xR)
    | sdtmndtplgtdt0(sK23,xR,xb) ),
    inference(cnf,[status(esa)],[m__731_02]) ).

cnf(l3,plain,
    ( aReductOfIn0(xb,xa,xR)
    | sdtmndtplgtdt0(sK23,xR,xb) ),
    inference(instantiation,[status(thm)],[82]) ).

cnf(91,plain,
    ( ~ aReductOfIn0(X0,xa,xR)
    | ~ aElement0(X0)
    | ~ sdtmndtplgtdt0(X0,xR,xb) ),
    inference(cnf,[status(esa)],[m___negated]) ).

cnf(l10,plain,
    ( ~ aReductOfIn0(sK23,xa,xR)
    | ~ aElement0(sK23)
    | ~ sdtmndtplgtdt0(sK23,xR,xb) ),
    inference(instantiation,[status(thm)],[91]) ).

cnf(80,plain,
    ( aReductOfIn0(xb,xa,xR)
    | aElement0(sK23) ),
    inference(cnf,[status(esa)],[m__731_02]) ).

cnf(l44,plain,
    ( aReductOfIn0(xb,xa,xR)
    | aElement0(sK23) ),
    inference(instantiation,[status(thm)],[80]) ).

cnf(81,plain,
    ( aReductOfIn0(sK23,xa,xR)
    | aReductOfIn0(xb,xa,xR) ),
    inference(cnf,[status(esa)],[m__731_02]) ).

cnf(l49,plain,
    ( aReductOfIn0(sK23,xa,xR)
    | aReductOfIn0(xb,xa,xR) ),
    inference(instantiation,[status(thm)],[81]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l10,l44,l49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM016+4 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Jul 20 06:08:49 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.35  % launching worker at depth: 9
% 0.19/0.46  % launching worker at depth: 10
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------