TSTP Solution File: SWV397+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:41:34 EDT 2023

% Result   : Theorem 0.18s 0.56s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue May 30 11:58:52 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  % Drodi V3.5.1
% 0.18/0.56  % Refutation found
% 0.18/0.56  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.56  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.56  fof(f28,axiom,(
% 0.18/0.56    (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 0.18/0.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56  fof(f31,axiom,(
% 0.18/0.56    (! [U,V,W,X] :( ~ contains_slb(V,X)=> remove_cpq(triple(U,V,W),X) = triple(U,V,bad) ) )),
% 0.18/0.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56  fof(f42,conjecture,(
% 0.18/0.56    (! [U,V,W,X] :( ok(remove_cpq(triple(U,V,W),X))=> contains_slb(V,X) ) )),
% 0.18/0.56    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.56  fof(f43,negated_conjecture,(
% 0.18/0.56    ~((! [U,V,W,X] :( ok(remove_cpq(triple(U,V,W),X))=> contains_slb(V,X) ) ))),
% 0.18/0.56    inference(negated_conjecture,[status(cth)],[f42])).
% 0.18/0.56  fof(f111,plain,(
% 0.18/0.56    ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 0.18/0.56    inference(NNF_transformation,[status(esa)],[f28])).
% 0.18/0.56  fof(f112,plain,(
% 0.18/0.56    ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 0.18/0.56    inference(miniscoping,[status(esa)],[f111])).
% 0.18/0.56  fof(f113,plain,(
% 0.18/0.56    ![U,V]: ~ok(triple(U,V,bad))),
% 0.18/0.56    inference($true_and_$false_simplification,[status(esa)],[f112])).
% 0.18/0.56  fof(f114,plain,(
% 0.18/0.56    ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 0.18/0.56    inference(cnf_transformation,[status(esa)],[f113])).
% 0.18/0.56  fof(f119,plain,(
% 0.18/0.56    ![U,V,W,X]: (contains_slb(V,X)|remove_cpq(triple(U,V,W),X)=triple(U,V,bad))),
% 0.18/0.56    inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.18/0.56  fof(f120,plain,(
% 0.18/0.56    ![V,X]: (contains_slb(V,X)|(![U,W]: remove_cpq(triple(U,V,W),X)=triple(U,V,bad)))),
% 0.18/0.56    inference(miniscoping,[status(esa)],[f119])).
% 0.18/0.56  fof(f121,plain,(
% 0.18/0.56    ![X0,X1,X2,X3]: (contains_slb(X0,X1)|remove_cpq(triple(X2,X0,X3),X1)=triple(X2,X0,bad))),
% 0.18/0.56    inference(cnf_transformation,[status(esa)],[f120])).
% 0.18/0.56  fof(f144,plain,(
% 0.18/0.56    (?[U,V,W,X]: (ok(remove_cpq(triple(U,V,W),X))&~contains_slb(V,X)))),
% 0.18/0.56    inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.18/0.56  fof(f145,plain,(
% 0.18/0.56    ?[V,X]: ((?[U,W]: ok(remove_cpq(triple(U,V,W),X)))&~contains_slb(V,X))),
% 0.18/0.56    inference(miniscoping,[status(esa)],[f144])).
% 0.18/0.56  fof(f146,plain,(
% 0.18/0.56    (ok(remove_cpq(triple(sk0_2,sk0_0,sk0_3),sk0_1))&~contains_slb(sk0_0,sk0_1))),
% 0.18/0.56    inference(skolemization,[status(esa)],[f145])).
% 0.18/0.56  fof(f147,plain,(
% 0.18/0.56    ok(remove_cpq(triple(sk0_2,sk0_0,sk0_3),sk0_1))),
% 0.18/0.56    inference(cnf_transformation,[status(esa)],[f146])).
% 0.18/0.56  fof(f148,plain,(
% 0.18/0.56    ~contains_slb(sk0_0,sk0_1)),
% 0.18/0.56    inference(cnf_transformation,[status(esa)],[f146])).
% 0.18/0.56  fof(f151,plain,(
% 0.18/0.56    spl0_0 <=> ok(triple(sk0_2,sk0_0,bad))),
% 0.18/0.56    introduced(split_symbol_definition)).
% 0.18/0.56  fof(f152,plain,(
% 0.18/0.56    ok(triple(sk0_2,sk0_0,bad))|~spl0_0),
% 0.18/0.56    inference(component_clause,[status(thm)],[f151])).
% 0.18/0.56  fof(f154,plain,(
% 0.18/0.56    spl0_1 <=> contains_slb(sk0_0,sk0_1)),
% 0.18/0.56    introduced(split_symbol_definition)).
% 0.18/0.56  fof(f155,plain,(
% 0.18/0.56    contains_slb(sk0_0,sk0_1)|~spl0_1),
% 0.18/0.56    inference(component_clause,[status(thm)],[f154])).
% 0.18/0.56  fof(f157,plain,(
% 0.18/0.56    ok(triple(sk0_2,sk0_0,bad))|contains_slb(sk0_0,sk0_1)),
% 0.18/0.56    inference(paramodulation,[status(thm)],[f121,f147])).
% 0.18/0.56  fof(f158,plain,(
% 0.18/0.56    spl0_0|spl0_1),
% 0.18/0.56    inference(split_clause,[status(thm)],[f157,f151,f154])).
% 0.18/0.56  fof(f160,plain,(
% 0.18/0.56    $false|~spl0_0),
% 0.18/0.56    inference(forward_subsumption_resolution,[status(thm)],[f152,f114])).
% 0.18/0.56  fof(f161,plain,(
% 0.18/0.56    ~spl0_0),
% 0.18/0.56    inference(contradiction_clause,[status(thm)],[f160])).
% 0.18/0.56  fof(f162,plain,(
% 0.18/0.56    $false|~spl0_1),
% 0.18/0.56    inference(forward_subsumption_resolution,[status(thm)],[f155,f148])).
% 0.18/0.56  fof(f163,plain,(
% 0.18/0.56    ~spl0_1),
% 0.18/0.56    inference(contradiction_clause,[status(thm)],[f162])).
% 0.18/0.56  fof(f164,plain,(
% 0.18/0.56    $false),
% 0.18/0.56    inference(sat_refutation,[status(thm)],[f158,f161,f163])).
% 0.18/0.56  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.56  % Elapsed time: 0.014164 seconds
% 0.18/0.56  % CPU time: 0.030370 seconds
% 0.18/0.56  % Memory used: 14.700 MB
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