TSTP Solution File: SYN930+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN930+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 12:48:26 EDT 2023

% Result   : Theorem 0.06s 0.26s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYN930+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.06  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n026.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:44:28 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.25  % Drodi V3.5.1
% 0.06/0.26  % Refutation found
% 0.06/0.26  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.26  % SZS output start CNFRefutation for theBenchmark
% 0.06/0.26  fof(f1,conjecture,(
% 0.06/0.26    ( (! [X] :( p(X)| c ))<=> ( (! [X] : p(X))| c ) ) ),
% 0.06/0.26    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.26  fof(f2,negated_conjecture,(
% 0.06/0.26    ~(( (! [X] :( p(X)| c ))<=> ( (! [X] : p(X))| c ) ) )),
% 0.06/0.26    inference(negated_conjecture,[status(cth)],[f1])).
% 0.06/0.26  fof(f3,plain,(
% 0.06/0.26    ((![X]: (p(X)|c))<~>((![X]: p(X))|c))),
% 0.06/0.26    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.06/0.26  fof(f4,plain,(
% 0.06/0.26    ((![X]: (p(X)|c))|((![X]: p(X))|c))&((?[X]: (~p(X)&~c))|((?[X]: ~p(X))&~c))),
% 0.06/0.26    inference(NNF_transformation,[status(esa)],[f3])).
% 0.06/0.26  fof(f5,plain,(
% 0.06/0.26    (((![X]: p(X))|c)|((![X]: p(X))|c))&(((?[X]: ~p(X))&~c)|((?[X]: ~p(X))&~c))),
% 0.06/0.26    inference(miniscoping,[status(esa)],[f4])).
% 0.06/0.26  fof(f6,plain,(
% 0.06/0.26    (((![X]: p(X))|c)|((![X]: p(X))|c))&((~p(sk0_0)&~c)|(~p(sk0_1)&~c))),
% 0.06/0.26    inference(skolemization,[status(esa)],[f5])).
% 0.06/0.26  fof(f7,plain,(
% 0.06/0.26    ![X0,X1]: (p(X0)|c|p(X1)|c)),
% 0.06/0.26    inference(cnf_transformation,[status(esa)],[f6])).
% 0.06/0.26  fof(f8,plain,(
% 0.06/0.26    ~p(sk0_0)|~p(sk0_1)),
% 0.06/0.26    inference(cnf_transformation,[status(esa)],[f6])).
% 0.06/0.26  fof(f11,plain,(
% 0.06/0.26    ~c|~c),
% 0.06/0.26    inference(cnf_transformation,[status(esa)],[f6])).
% 0.06/0.26  fof(f12,plain,(
% 0.06/0.26    spl0_0 <=> p(X0)),
% 0.06/0.26    introduced(split_symbol_definition)).
% 0.06/0.26  fof(f13,plain,(
% 0.06/0.26    ![X0]: (p(X0)|~spl0_0)),
% 0.06/0.26    inference(component_clause,[status(thm)],[f12])).
% 0.06/0.26  fof(f15,plain,(
% 0.06/0.26    spl0_1 <=> c),
% 0.06/0.26    introduced(split_symbol_definition)).
% 0.06/0.26  fof(f18,plain,(
% 0.06/0.26    spl0_0|spl0_1),
% 0.06/0.26    inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.06/0.26  fof(f19,plain,(
% 0.06/0.26    spl0_2 <=> p(sk0_0)),
% 0.06/0.26    introduced(split_symbol_definition)).
% 0.06/0.26  fof(f21,plain,(
% 0.06/0.26    ~p(sk0_0)|spl0_2),
% 0.06/0.26    inference(component_clause,[status(thm)],[f19])).
% 0.06/0.26  fof(f22,plain,(
% 0.06/0.26    spl0_3 <=> p(sk0_1)),
% 0.06/0.26    introduced(split_symbol_definition)).
% 0.06/0.26  fof(f24,plain,(
% 0.06/0.26    ~p(sk0_1)|spl0_3),
% 0.06/0.26    inference(component_clause,[status(thm)],[f22])).
% 0.06/0.26  fof(f25,plain,(
% 0.06/0.26    ~spl0_2|~spl0_3),
% 0.06/0.26    inference(split_clause,[status(thm)],[f8,f19,f22])).
% 0.06/0.26  fof(f28,plain,(
% 0.06/0.26    ~spl0_1),
% 0.06/0.26    inference(split_clause,[status(thm)],[f11,f15])).
% 0.06/0.26  fof(f29,plain,(
% 0.06/0.26    $false|~spl0_0|spl0_2),
% 0.06/0.26    inference(backward_subsumption_resolution,[status(thm)],[f21,f13])).
% 0.06/0.26  fof(f30,plain,(
% 0.06/0.26    ~spl0_0|spl0_2),
% 0.06/0.26    inference(contradiction_clause,[status(thm)],[f29])).
% 0.06/0.26  fof(f31,plain,(
% 0.06/0.26    $false|~spl0_0|spl0_3),
% 0.06/0.26    inference(forward_subsumption_resolution,[status(thm)],[f24,f13])).
% 0.06/0.26  fof(f32,plain,(
% 0.06/0.26    ~spl0_0|spl0_3),
% 0.06/0.26    inference(contradiction_clause,[status(thm)],[f31])).
% 0.06/0.26  fof(f33,plain,(
% 0.06/0.26    $false),
% 0.06/0.26    inference(sat_refutation,[status(thm)],[f18,f25,f28,f30,f32])).
% 0.06/0.26  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.47  % Elapsed time: 0.008777 seconds
% 0.09/0.47  % CPU time: 0.015789 seconds
% 0.09/0.47  % Memory used: 1.804 MB
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