TSTP Solution File: SYN980+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:48:32 EDT 2023

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n020.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 10:22:28 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35  fof(f1,conjecture,(
% 0.13/0.35    (! [B] :( (! [Y] :( ( r(B)=> r(Y) )=> p(f(Y),Y) ))=> (? [X,Y] :( p(X,Y)& ( q(f(B),B)=> q(X,Y) ) ) )) )),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f2,negated_conjecture,(
% 0.13/0.35    ~((! [B] :( (! [Y] :( ( r(B)=> r(Y) )=> p(f(Y),Y) ))=> (? [X,Y] :( p(X,Y)& ( q(f(B),B)=> q(X,Y) ) ) )) ))),
% 0.13/0.35    inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.35  fof(f3,plain,(
% 0.13/0.35    (?[B]: ((![Y]: ((r(B)&~r(Y))|p(f(Y),Y)))&(![X,Y]: (~p(X,Y)|(q(f(B),B)&~q(X,Y))))))),
% 0.13/0.35    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.35  fof(f4,plain,(
% 0.13/0.35    ((![Y]: ((r(sk0_0)&~r(Y))|p(f(Y),Y)))&(![X,Y]: (~p(X,Y)|(q(f(sk0_0),sk0_0)&~q(X,Y)))))),
% 0.13/0.35    inference(skolemization,[status(esa)],[f3])).
% 0.13/0.35  fof(f5,plain,(
% 0.13/0.35    ![X0]: (r(sk0_0)|p(f(X0),X0))),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.35  fof(f6,plain,(
% 0.13/0.35    ![X0]: (~r(X0)|p(f(X0),X0))),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.35  fof(f7,plain,(
% 0.13/0.35    ![X0,X1]: (~p(X0,X1)|q(f(sk0_0),sk0_0))),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.35  fof(f8,plain,(
% 0.13/0.35    ![X0,X1]: (~p(X0,X1)|~q(X0,X1))),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.35  fof(f9,plain,(
% 0.13/0.35    spl0_0 <=> r(sk0_0)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f10,plain,(
% 0.13/0.35    r(sk0_0)|~spl0_0),
% 0.13/0.35    inference(component_clause,[status(thm)],[f9])).
% 0.13/0.35  fof(f12,plain,(
% 0.13/0.35    spl0_1 <=> p(f(X0),X0)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f13,plain,(
% 0.13/0.35    ![X0]: (p(f(X0),X0)|~spl0_1)),
% 0.13/0.35    inference(component_clause,[status(thm)],[f12])).
% 0.13/0.35  fof(f15,plain,(
% 0.13/0.35    spl0_0|spl0_1),
% 0.13/0.35    inference(split_clause,[status(thm)],[f5,f9,f12])).
% 0.13/0.35  fof(f16,plain,(
% 0.13/0.35    spl0_2 <=> ~p(X0,X1)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f17,plain,(
% 0.13/0.35    ![X0,X1]: (~p(X0,X1)|~spl0_2)),
% 0.13/0.35    inference(component_clause,[status(thm)],[f16])).
% 0.13/0.35  fof(f19,plain,(
% 0.13/0.35    spl0_3 <=> q(f(sk0_0),sk0_0)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f20,plain,(
% 0.13/0.35    q(f(sk0_0),sk0_0)|~spl0_3),
% 0.13/0.35    inference(component_clause,[status(thm)],[f19])).
% 0.13/0.35  fof(f22,plain,(
% 0.13/0.35    spl0_2|spl0_3),
% 0.13/0.35    inference(split_clause,[status(thm)],[f7,f16,f19])).
% 0.13/0.35  fof(f23,plain,(
% 0.13/0.35    ![X0]: (~r(X0)|~spl0_2)),
% 0.13/0.35    inference(backward_subsumption_resolution,[status(thm)],[f6,f17])).
% 0.13/0.35  fof(f24,plain,(
% 0.13/0.35    $false|~spl0_2|~spl0_0),
% 0.13/0.35    inference(backward_subsumption_resolution,[status(thm)],[f10,f23])).
% 0.13/0.35  fof(f25,plain,(
% 0.13/0.35    ~spl0_2|~spl0_0),
% 0.13/0.35    inference(contradiction_clause,[status(thm)],[f24])).
% 0.13/0.35  fof(f26,plain,(
% 0.13/0.35    ~p(f(sk0_0),sk0_0)|~spl0_3),
% 0.13/0.35    inference(resolution,[status(thm)],[f20,f8])).
% 0.13/0.35  fof(f27,plain,(
% 0.13/0.35    $false|~spl0_1|~spl0_3),
% 0.13/0.35    inference(forward_subsumption_resolution,[status(thm)],[f26,f13])).
% 0.13/0.35  fof(f28,plain,(
% 0.13/0.35    ~spl0_1|~spl0_3),
% 0.13/0.35    inference(contradiction_clause,[status(thm)],[f27])).
% 0.13/0.35  fof(f29,plain,(
% 0.13/0.35    ~r(sk0_0)|~spl0_3),
% 0.13/0.35    inference(resolution,[status(thm)],[f26,f6])).
% 0.13/0.35  fof(f30,plain,(
% 0.13/0.35    $false|~spl0_0|~spl0_3),
% 0.13/0.35    inference(forward_subsumption_resolution,[status(thm)],[f29,f10])).
% 0.13/0.35  fof(f31,plain,(
% 0.13/0.35    ~spl0_0|~spl0_3),
% 0.13/0.35    inference(contradiction_clause,[status(thm)],[f30])).
% 0.13/0.35  fof(f32,plain,(
% 0.13/0.35    $false|~spl0_2|~spl0_1),
% 0.13/0.35    inference(backward_subsumption_resolution,[status(thm)],[f13,f17])).
% 0.13/0.35  fof(f33,plain,(
% 0.13/0.35    ~spl0_2|~spl0_1),
% 0.13/0.35    inference(contradiction_clause,[status(thm)],[f32])).
% 0.13/0.35  fof(f34,plain,(
% 0.13/0.35    $false),
% 0.13/0.35    inference(sat_refutation,[status(thm)],[f15,f22,f25,f28,f31,f33])).
% 0.13/0.35  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.36  % Elapsed time: 0.017022 seconds
% 0.13/0.36  % CPU time: 0.027262 seconds
% 0.13/0.36  % Memory used: 1.808 MB
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