TSTP Solution File: SYN936+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN936+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 : Tue Apr 30 20:53:40 EDT 2024

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN936+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 21:57:02 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 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] :( c=> p(X) ))<=> ( c=> (! [X] : p(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] :( c=> p(X) ))<=> ( c=> (! [X] : p(X) )) ) )),
% 0.14/0.36    inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.36  fof(f3,plain,(
% 0.14/0.36    ((![X]: (~c|p(X)))<~>(~c|(![X]: p(X))))),
% 0.14/0.36    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.36  fof(f4,plain,(
% 0.14/0.36    ((![X]: (~c|p(X)))|(~c|(![X]: p(X))))&((?[X]: (c&~p(X)))|(c&(?[X]: ~p(X))))),
% 0.14/0.36    inference(NNF_transformation,[status(esa)],[f3])).
% 0.14/0.36  fof(f5,plain,(
% 0.14/0.36    ((~c|(![X]: p(X)))|(~c|(![X]: p(X))))&((c&(?[X]: ~p(X)))|(c&(?[X]: ~p(X))))),
% 0.14/0.36    inference(miniscoping,[status(esa)],[f4])).
% 0.14/0.36  fof(f6,plain,(
% 0.14/0.36    ((~c|(![X]: p(X)))|(~c|(![X]: p(X))))&((c&~p(sk0_0))|(c&~p(sk0_1)))),
% 0.14/0.36    inference(skolemization,[status(esa)],[f5])).
% 0.14/0.36  fof(f7,plain,(
% 0.14/0.36    ![X0,X1]: (~c|p(X0)|~c|p(X1))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f8,plain,(
% 0.14/0.36    c|c),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f11,plain,(
% 0.14/0.36    ~p(sk0_0)|~p(sk0_1)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f12,plain,(
% 0.14/0.36    spl0_0 <=> c),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f15,plain,(
% 0.14/0.36    spl0_1 <=> p(X0)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f16,plain,(
% 0.14/0.36    ![X0]: (p(X0)|~spl0_1)),
% 0.14/0.36    inference(component_clause,[status(thm)],[f15])).
% 0.14/0.36  fof(f18,plain,(
% 0.14/0.36    ~spl0_0|spl0_1),
% 0.14/0.36    inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.14/0.36  fof(f19,plain,(
% 0.14/0.36    spl0_0),
% 0.14/0.36    inference(split_clause,[status(thm)],[f8,f12])).
% 0.14/0.36  fof(f20,plain,(
% 0.14/0.36    spl0_2 <=> p(sk0_1)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f22,plain,(
% 0.14/0.36    ~p(sk0_1)|spl0_2),
% 0.14/0.36    inference(component_clause,[status(thm)],[f20])).
% 0.14/0.36  fof(f24,plain,(
% 0.14/0.36    spl0_3 <=> p(sk0_0)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f26,plain,(
% 0.14/0.36    ~p(sk0_0)|spl0_3),
% 0.14/0.36    inference(component_clause,[status(thm)],[f24])).
% 0.14/0.36  fof(f28,plain,(
% 0.14/0.36    ~spl0_3|~spl0_2),
% 0.14/0.36    inference(split_clause,[status(thm)],[f11,f24,f20])).
% 0.14/0.36  fof(f29,plain,(
% 0.14/0.36    $false|~spl0_1|spl0_2),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f22,f16])).
% 0.14/0.36  fof(f30,plain,(
% 0.14/0.36    ~spl0_1|spl0_2),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f29])).
% 0.14/0.36  fof(f31,plain,(
% 0.14/0.36    $false|~spl0_1|spl0_3),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f26,f16])).
% 0.14/0.36  fof(f32,plain,(
% 0.14/0.36    ~spl0_1|spl0_3),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f31])).
% 0.14/0.36  fof(f33,plain,(
% 0.14/0.36    $false),
% 0.14/0.36    inference(sat_refutation,[status(thm)],[f18,f19,f28,f30,f32])).
% 0.14/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37  % Elapsed time: 0.016683 seconds
% 0.14/0.37  % CPU time: 0.028030 seconds
% 0.14/0.37  % Total memory used: 1.890 MB
% 0.14/0.37  % Net memory used: 1.729 MB
%------------------------------------------------------------------------------