TSTP Solution File: SYN343+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 : Wed May 31 12:46:35 EDT 2023

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n006.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  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:22:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36  fof(f1,conjecture,(
% 0.13/0.36    (? [X,Y1,Y2] :(! [Z] :( ( ( big_f(X,Y1)=> big_f(Z,X) )=> big_f(X,X) )=> ( big_f(X,X)& big_f(Y1,Y2) ) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f2,negated_conjecture,(
% 0.13/0.36    ~((? [X,Y1,Y2] :(! [Z] :( ( ( big_f(X,Y1)=> big_f(Z,X) )=> big_f(X,X) )=> ( big_f(X,X)& big_f(Y1,Y2) ) ) )))),
% 0.13/0.36    inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.36  fof(f3,plain,(
% 0.13/0.36    (![X,Y1,Y2]: ?[Z]: (((big_f(X,Y1)&~big_f(Z,X))|big_f(X,X))&(~big_f(X,X)|~big_f(Y1,Y2))))),
% 0.13/0.36    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36  fof(f4,plain,(
% 0.13/0.36    (![X]: (((![Y1]: big_f(X,Y1))&(?[Z]: ~big_f(Z,X)))|big_f(X,X)))&((![X]: ~big_f(X,X))|(![Y1,Y2]: ~big_f(Y1,Y2)))),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.36  fof(f5,plain,(
% 0.13/0.36    (![X]: (((![Y1]: big_f(X,Y1))&~big_f(sk0_0(X),X))|big_f(X,X)))&((![X]: ~big_f(X,X))|(![Y1,Y2]: ~big_f(Y1,Y2)))),
% 0.13/0.36    inference(skolemization,[status(esa)],[f4])).
% 0.13/0.36  fof(f6,plain,(
% 0.13/0.36    ![X0,X1]: (big_f(X0,X1)|big_f(X0,X0))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.36  fof(f7,plain,(
% 0.13/0.36    ![X0]: (~big_f(sk0_0(X0),X0)|big_f(X0,X0))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.36  fof(f8,plain,(
% 0.13/0.36    ![X0,X1,X2]: (~big_f(X0,X0)|~big_f(X1,X2))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.36  fof(f9,plain,(
% 0.13/0.36    spl0_0 <=> ~big_f(X0,X0)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f10,plain,(
% 0.13/0.36    ![X0]: (~big_f(X0,X0)|~spl0_0)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f9])).
% 0.13/0.36  fof(f12,plain,(
% 0.13/0.36    spl0_1 <=> ~big_f(X1,X2)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f13,plain,(
% 0.13/0.36    ![X0,X1]: (~big_f(X0,X1)|~spl0_1)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f12])).
% 0.13/0.36  fof(f15,plain,(
% 0.13/0.36    spl0_0|spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f8,f9,f12])).
% 0.13/0.36  fof(f16,plain,(
% 0.13/0.36    ![X0]: (~big_f(sk0_0(X0),X0)|~spl0_0)),
% 0.13/0.36    inference(backward_subsumption_resolution,[status(thm)],[f7,f10])).
% 0.13/0.36  fof(f17,plain,(
% 0.13/0.36    ![X0,X1]: (big_f(X0,X1)|~spl0_0)),
% 0.13/0.36    inference(backward_subsumption_resolution,[status(thm)],[f6,f10])).
% 0.13/0.36  fof(f18,plain,(
% 0.13/0.36    $false|~spl0_0),
% 0.13/0.36    inference(backward_subsumption_resolution,[status(thm)],[f16,f17])).
% 0.13/0.36  fof(f19,plain,(
% 0.13/0.36    ~spl0_0),
% 0.13/0.36    inference(contradiction_clause,[status(thm)],[f18])).
% 0.13/0.36  fof(f20,plain,(
% 0.13/0.36    ![X0]: (big_f(X0,X0)|~spl0_1)),
% 0.13/0.36    inference(forward_subsumption_resolution,[status(thm)],[f6,f13])).
% 0.13/0.36  fof(f21,plain,(
% 0.13/0.36    $false|~spl0_1),
% 0.13/0.36    inference(resolution,[status(thm)],[f20,f13])).
% 0.13/0.36  fof(f22,plain,(
% 0.13/0.36    ~spl0_1),
% 0.13/0.36    inference(contradiction_clause,[status(thm)],[f21])).
% 0.13/0.36  fof(f23,plain,(
% 0.13/0.36    $false),
% 0.13/0.36    inference(sat_refutation,[status(thm)],[f15,f19,f22])).
% 0.13/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.36  % Elapsed time: 0.018356 seconds
% 0.20/0.36  % CPU time: 0.027667 seconds
% 0.20/0.36  % Memory used: 1.792 MB
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