TSTP Solution File: SYN733+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN733+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:52:57 EDT 2024

% Result   : Theorem 0.09s 0.30s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN733+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n018.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Mon Apr 29 22:10:13 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.6.0
% 0.09/0.30  % Refutation found
% 0.09/0.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.30  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.30  fof(f1,conjecture,(
% 0.09/0.30    ( (! [X] :(? [Y] :( p(X)& ( q(Y)| q(X) ) )))=> (? [Z] :( p(Z)& q(Z) ) )) ),
% 0.09/0.30    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.30  fof(f2,negated_conjecture,(
% 0.09/0.30    ~(( (! [X] :(? [Y] :( p(X)& ( q(Y)| q(X) ) )))=> (? [Z] :( p(Z)& q(Z) ) )) )),
% 0.09/0.30    inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.30  fof(f3,plain,(
% 0.09/0.30    ((![X]: ?[Y]: (p(X)&(q(Y)|q(X))))&(![Z]: (~p(Z)|~q(Z))))),
% 0.09/0.30    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.09/0.30  fof(f4,plain,(
% 0.09/0.30    ((![X]: p(X))&((?[Y]: q(Y))|(![X]: q(X))))&(![Z]: (~p(Z)|~q(Z)))),
% 0.09/0.30    inference(miniscoping,[status(esa)],[f3])).
% 0.09/0.30  fof(f5,plain,(
% 0.09/0.30    ((![X]: p(X))&(q(sk0_0)|(![X]: q(X))))&(![Z]: (~p(Z)|~q(Z)))),
% 0.09/0.30    inference(skolemization,[status(esa)],[f4])).
% 0.09/0.30  fof(f6,plain,(
% 0.09/0.30    ![X0]: (p(X0))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.30  fof(f7,plain,(
% 0.09/0.30    ![X0]: (q(sk0_0)|q(X0))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.30  fof(f8,plain,(
% 0.09/0.30    ![X0]: (~p(X0)|~q(X0))),
% 0.09/0.30    inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.30  fof(f9,plain,(
% 0.09/0.30    spl0_0 <=> q(sk0_0)),
% 0.09/0.30    introduced(split_symbol_definition)).
% 0.09/0.30  fof(f10,plain,(
% 0.09/0.30    q(sk0_0)|~spl0_0),
% 0.09/0.30    inference(component_clause,[status(thm)],[f9])).
% 0.09/0.30  fof(f12,plain,(
% 0.09/0.30    spl0_1 <=> q(X0)),
% 0.09/0.30    introduced(split_symbol_definition)).
% 0.09/0.30  fof(f13,plain,(
% 0.09/0.30    ![X0]: (q(X0)|~spl0_1)),
% 0.09/0.30    inference(component_clause,[status(thm)],[f12])).
% 0.09/0.30  fof(f15,plain,(
% 0.09/0.30    spl0_0|spl0_1),
% 0.09/0.30    inference(split_clause,[status(thm)],[f7,f9,f12])).
% 0.09/0.30  fof(f16,plain,(
% 0.09/0.30    ![X0]: (~q(X0))),
% 0.09/0.30    inference(forward_subsumption_resolution,[status(thm)],[f8,f6])).
% 0.09/0.30  fof(f17,plain,(
% 0.09/0.30    $false|~spl0_0),
% 0.09/0.30    inference(backward_subsumption_resolution,[status(thm)],[f10,f16])).
% 0.09/0.30  fof(f18,plain,(
% 0.09/0.30    ~spl0_0),
% 0.09/0.30    inference(contradiction_clause,[status(thm)],[f17])).
% 0.09/0.30  fof(f19,plain,(
% 0.09/0.30    $false|~spl0_1),
% 0.09/0.30    inference(forward_subsumption_resolution,[status(thm)],[f13,f16])).
% 0.09/0.30  fof(f20,plain,(
% 0.09/0.30    ~spl0_1),
% 0.09/0.30    inference(contradiction_clause,[status(thm)],[f19])).
% 0.09/0.30  fof(f21,plain,(
% 0.09/0.30    $false),
% 0.09/0.30    inference(sat_refutation,[status(thm)],[f15,f18,f20])).
% 0.09/0.30  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.31  % Elapsed time: 0.011376 seconds
% 0.09/0.31  % CPU time: 0.018990 seconds
% 0.09/0.31  % Total memory used: 1.880 MB
% 0.09/0.31  % Net memory used: 1.699 MB
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