## TSTP Solution File: SYN969+1 by Drodi---3.3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.3.3
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 Sep 29 21:36:03 EDT 2022

% Result   : Theorem 0.21s 0.57s
% Output   : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   32 (  10   ~;   6   |;   8   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (  12   !;   1   ?)

%------------------------------------------------------------------------------
fof(f1,conjecture,
! [B] :
( ( ! [X] :
( p(X)
=> q(X) )
& r(B) )
=> ( ! [Y] :
( r(Y)
=> p(Y) )
=> q(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
~ ! [B] :
( ( ! [X] :
( p(X)
=> q(X) )
& r(B) )
=> ( ! [Y] :
( r(Y)
=> p(Y) )
=> q(B) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
? [B] :
( ! [X] :
( ~ p(X)
| q(X) )
& r(B)
& ! [Y] :
( ~ r(Y)
| p(Y) )
& ~ q(B) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
( ! [X] :
( ~ p(X)
| q(X) )
& r(sk0_0)
& ! [Y] :
( ~ r(Y)
| p(Y) )
& ~ q(sk0_0) ),
inference(skolemization,[status(esa)],[f3]) ).

fof(f5,plain,
! [X0] :
( ~ p(X0)
| q(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
r(sk0_0),
inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
! [X0] :
( ~ r(X0)
| p(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
~ q(sk0_0),
inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
p(sk0_0),
inference(resolution,[status(thm)],[f7,f6]) ).

fof(f10,plain,
q(sk0_0),
inference(resolution,[status(thm)],[f9,f5]) ).

fof(f11,plain,
\$false,
inference(forward_subsumption_resolution,[status(thm)],[f10,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n017.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Sep  5 09:09:25 EDT 2022
% 0.12/0.34  % CPUTime  :
% 0.12/0.35  % Drodi V3.3.3
% 0.21/0.57  % Refutation found
% 0.21/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.57  % Elapsed time: 0.019257 seconds
% 0.21/0.57  % CPU time: 0.023354 seconds
% 0.21/0.57  % Memory used: 16.657 MB
%------------------------------------------------------------------------------