TSTP Solution File: SYN367+1 by Drodi---3.3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.3.3
% Problem  : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 21:33:32 EDT 2022

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Sep  5 03:08:18 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.3.3
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36  fof(f1,conjecture,(
% 0.14/0.36    ( (! [X] :( ( p& big_q(X) )| ( ~ p& big_r(X) ) ))=> ( (! [X] : big_q(X))| (! [X] : big_r(X) )) ) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f2,negated_conjecture,(
% 0.14/0.36    ~(( (! [X] :( ( p& big_q(X) )| ( ~ p& big_r(X) ) ))=> ( (! [X] : big_q(X))| (! [X] : big_r(X) )) ) )),
% 0.14/0.36    inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.36  fof(f3,plain,(
% 0.14/0.36    ((![X]: ((p&big_q(X))|(~p&big_r(X))))&((?[X]: ~big_q(X))&(?[X]: ~big_r(X))))),
% 0.14/0.36    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.36  fof(f4,plain,(
% 0.14/0.36    ![X]: (pd0_0(X)=>(p&big_q(X)))),
% 0.14/0.36    introduced(predicate_definition,[f3])).
% 0.14/0.36  fof(f5,plain,(
% 0.14/0.36    (![X]: (pd0_0(X)|(~p&big_r(X))))&((?[X]: ~big_q(X))&(?[X]: ~big_r(X)))),
% 0.14/0.36    inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.14/0.36  fof(f6,plain,(
% 0.14/0.36    (![X]: (pd0_0(X)|(~p&big_r(X))))&(~big_q(sk0_0)&~big_r(sk0_1))),
% 0.14/0.36    inference(skolemization,[status(esa)],[f5])).
% 0.14/0.36  fof(f7,plain,(
% 0.14/0.36    ![X0]: (pd0_0(X0)|~p)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f8,plain,(
% 0.14/0.36    ![X0]: (pd0_0(X0)|big_r(X0))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f9,plain,(
% 0.14/0.36    ~big_q(sk0_0)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f10,plain,(
% 0.14/0.36    ~big_r(sk0_1)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f11,plain,(
% 0.14/0.36    ![X]: (~pd0_0(X)|(p&big_q(X)))),
% 0.14/0.36    inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.36  fof(f12,plain,(
% 0.14/0.36    ![X0]: (~pd0_0(X0)|p)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.36  fof(f13,plain,(
% 0.14/0.36    ![X0]: (~pd0_0(X0)|big_q(X0))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.36  fof(f14,plain,(
% 0.14/0.36    spl0_0 <=> pd0_0(X0)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f15,plain,(
% 0.14/0.36    ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.14/0.36    inference(component_clause,[status(thm)],[f14])).
% 0.14/0.36  fof(f17,plain,(
% 0.14/0.36    spl0_1 <=> p),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f20,plain,(
% 0.14/0.36    spl0_0|~spl0_1),
% 0.14/0.36    inference(split_clause,[status(thm)],[f7,f14,f17])).
% 0.14/0.36  fof(f21,plain,(
% 0.14/0.36    spl0_2 <=> ~pd0_0(X0)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f22,plain,(
% 0.14/0.36    ![X0]: (~pd0_0(X0)|~spl0_2)),
% 0.14/0.36    inference(component_clause,[status(thm)],[f21])).
% 0.14/0.36  fof(f24,plain,(
% 0.14/0.36    spl0_2|spl0_1),
% 0.14/0.36    inference(split_clause,[status(thm)],[f12,f21,f17])).
% 0.14/0.36  fof(f25,plain,(
% 0.14/0.36    ~pd0_0(sk0_0)),
% 0.14/0.36    inference(resolution,[status(thm)],[f13,f9])).
% 0.14/0.36  fof(f26,plain,(
% 0.14/0.36    ![X0]: (big_r(X0)|~spl0_2)),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f8,f22])).
% 0.14/0.36  fof(f27,plain,(
% 0.14/0.36    $false|~spl0_2),
% 0.14/0.36    inference(backward_subsumption_resolution,[status(thm)],[f10,f26])).
% 0.14/0.36  fof(f28,plain,(
% 0.14/0.36    ~spl0_2),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f27])).
% 0.14/0.36  fof(f29,plain,(
% 0.14/0.36    $false|~spl0_0),
% 0.14/0.36    inference(backward_subsumption_resolution,[status(thm)],[f25,f15])).
% 0.14/0.36  fof(f30,plain,(
% 0.14/0.36    ~spl0_0),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f29])).
% 0.14/0.36  fof(f31,plain,(
% 0.14/0.36    $false),
% 0.14/0.36    inference(sat_refutation,[status(thm)],[f20,f24,f28,f30])).
% 0.14/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.57  % Elapsed time: 0.014884 seconds
% 0.20/0.57  % CPU time: 0.021192 seconds
% 0.20/0.57  % Memory used: 19.063 MB
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