TSTP Solution File: SYN382+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN382+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 : Tue Apr 30 20:52:04 EDT 2024

% Result   : Theorem 0.08s 0.29s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem  : SYN382+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Mon Apr 29 22:01:35 EDT 2024
% 0.08/0.28  % CPUTime  : 
% 0.08/0.28  % Drodi V3.6.0
% 0.08/0.29  % Refutation found
% 0.08/0.29  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.29  % SZS output start CNFRefutation for theBenchmark
% 0.08/0.29  fof(f1,conjecture,(
% 0.08/0.29    ( (! [Z] :(? [X] :( (! [Y] : big_p(X,Y))| big_q(X,Z) )))=> (! [Y] :(? [X] :( big_p(X,Y)| big_q(X,Y) ) ))) ),
% 0.08/0.29    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.29  fof(f2,negated_conjecture,(
% 0.08/0.29    ~(( (! [Z] :(? [X] :( (! [Y] : big_p(X,Y))| big_q(X,Z) )))=> (! [Y] :(? [X] :( big_p(X,Y)| big_q(X,Y) ) ))) )),
% 0.08/0.29    inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.29  fof(f3,plain,(
% 0.08/0.29    ((![Z]: ?[X]: ((![Y]: big_p(X,Y))|big_q(X,Z)))&(?[Y]: ![X]: (~big_p(X,Y)&~big_q(X,Y))))),
% 0.08/0.29    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.08/0.29  fof(f4,plain,(
% 0.08/0.29    ((?[X]: ![Y]: big_p(X,Y))|(![Z]: ?[X]: big_q(X,Z)))&(?[Y]: ((![X]: ~big_p(X,Y))&(![X]: ~big_q(X,Y))))),
% 0.08/0.29    inference(miniscoping,[status(esa)],[f3])).
% 0.08/0.29  fof(f5,plain,(
% 0.08/0.29    (![Y]: big_p(sk0_0,Y)|(![Z]: big_q(sk0_1(Z),Z)))&((![X]: ~big_p(X,sk0_2))&(![X]: ~big_q(X,sk0_2)))),
% 0.08/0.29    inference(skolemization,[status(esa)],[f4])).
% 0.08/0.29  fof(f6,plain,(
% 0.08/0.29    ![X0,X1]: (big_p(sk0_0,X0)|big_q(sk0_1(X1),X1))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f5])).
% 0.08/0.29  fof(f7,plain,(
% 0.08/0.29    ![X0]: (~big_p(X0,sk0_2))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f5])).
% 0.08/0.29  fof(f8,plain,(
% 0.08/0.29    ![X0]: (~big_q(X0,sk0_2))),
% 0.08/0.29    inference(cnf_transformation,[status(esa)],[f5])).
% 0.08/0.29  fof(f9,plain,(
% 0.08/0.29    spl0_0 <=> big_p(sk0_0,X0)),
% 0.08/0.29    introduced(split_symbol_definition)).
% 0.08/0.29  fof(f10,plain,(
% 0.08/0.29    ![X0]: (big_p(sk0_0,X0)|~spl0_0)),
% 0.08/0.29    inference(component_clause,[status(thm)],[f9])).
% 0.08/0.29  fof(f12,plain,(
% 0.08/0.29    spl0_1 <=> big_q(sk0_1(X1),X1)),
% 0.08/0.29    introduced(split_symbol_definition)).
% 0.08/0.29  fof(f13,plain,(
% 0.08/0.29    ![X0]: (big_q(sk0_1(X0),X0)|~spl0_1)),
% 0.08/0.29    inference(component_clause,[status(thm)],[f12])).
% 0.08/0.29  fof(f15,plain,(
% 0.08/0.29    spl0_0|spl0_1),
% 0.08/0.29    inference(split_clause,[status(thm)],[f6,f9,f12])).
% 0.08/0.29  fof(f16,plain,(
% 0.08/0.29    $false|~spl0_0),
% 0.08/0.29    inference(resolution,[status(thm)],[f10,f7])).
% 0.08/0.29  fof(f17,plain,(
% 0.08/0.29    ~spl0_0),
% 0.08/0.29    inference(contradiction_clause,[status(thm)],[f16])).
% 0.08/0.29  fof(f18,plain,(
% 0.08/0.29    $false|~spl0_1),
% 0.08/0.29    inference(resolution,[status(thm)],[f13,f8])).
% 0.08/0.29  fof(f19,plain,(
% 0.08/0.29    ~spl0_1),
% 0.08/0.29    inference(contradiction_clause,[status(thm)],[f18])).
% 0.08/0.29  fof(f20,plain,(
% 0.08/0.29    $false),
% 0.08/0.29    inference(sat_refutation,[status(thm)],[f15,f17,f19])).
% 0.08/0.29  % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.29  % Elapsed time: 0.013069 seconds
% 0.08/0.29  % CPU time: 0.022352 seconds
% 0.08/0.29  % Total memory used: 1.885 MB
% 0.08/0.29  % Net memory used: 1.703 MB
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