TSTP Solution File: COM018+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:03:56 EDT 2023

% Result   : Theorem 0.21s 0.58s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n014.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 : Tue May 30 11:45:04 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.21/0.58  % Refutation found
% 0.21/0.58  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.58  % SZS output start CNFRefutation for theBenchmark
% 0.21/0.58  fof(f14,axiom,(
% 0.21/0.58    (! [W0] :( ( aRewritingSystem0(W0)& isTerminating0(W0) )=> (! [W1] :( aElement0(W1)=> (? [W2] : aNormalFormOfIn0(W2,W1,W0) )) )) )),
% 0.21/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58  fof(f15,hypothesis,(
% 0.21/0.58    aRewritingSystem0(xR) ),
% 0.21/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58  fof(f16,hypothesis,(
% 0.21/0.58    ( isLocallyConfluent0(xR)& isTerminating0(xR) ) ),
% 0.21/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58  fof(f22,hypothesis,(
% 0.21/0.58    ( aElement0(xw)& sdtmndtasgtdt0(xu,xR,xw)& sdtmndtasgtdt0(xv,xR,xw) ) ),
% 0.21/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58  fof(f23,conjecture,(
% 0.21/0.58    (? [W0] : aNormalFormOfIn0(W0,xw,xR) )),
% 0.21/0.58    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58  fof(f24,negated_conjecture,(
% 0.21/0.58    ~((? [W0] : aNormalFormOfIn0(W0,xw,xR) ))),
% 0.21/0.58    inference(negated_conjecture,[status(cth)],[f23])).
% 0.21/0.58  fof(f96,plain,(
% 0.21/0.58    ![W0]: ((~aRewritingSystem0(W0)|~isTerminating0(W0))|(![W1]: (~aElement0(W1)|(?[W2]: aNormalFormOfIn0(W2,W1,W0)))))),
% 0.21/0.58    inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.21/0.58  fof(f97,plain,(
% 0.21/0.58    ![W0]: ((~aRewritingSystem0(W0)|~isTerminating0(W0))|(![W1]: (~aElement0(W1)|aNormalFormOfIn0(sk0_12(W1,W0),W1,W0))))),
% 0.21/0.58    inference(skolemization,[status(esa)],[f96])).
% 0.21/0.58  fof(f98,plain,(
% 0.21/0.58    ![X0,X1]: (~aRewritingSystem0(X0)|~isTerminating0(X0)|~aElement0(X1)|aNormalFormOfIn0(sk0_12(X1,X0),X1,X0))),
% 0.21/0.58    inference(cnf_transformation,[status(esa)],[f97])).
% 0.21/0.58  fof(f99,plain,(
% 0.21/0.58    aRewritingSystem0(xR)),
% 0.21/0.58    inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.58  fof(f101,plain,(
% 0.21/0.58    isTerminating0(xR)),
% 0.21/0.58    inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.58  fof(f118,plain,(
% 0.21/0.58    aElement0(xw)),
% 0.21/0.58    inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.58  fof(f121,plain,(
% 0.21/0.58    (![W0]: ~aNormalFormOfIn0(W0,xw,xR))),
% 0.21/0.58    inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.21/0.58  fof(f122,plain,(
% 0.21/0.58    ![X0]: (~aNormalFormOfIn0(X0,xw,xR))),
% 0.21/0.58    inference(cnf_transformation,[status(esa)],[f121])).
% 0.21/0.58  fof(f128,plain,(
% 0.21/0.58    spl0_1 <=> aRewritingSystem0(xR)),
% 0.21/0.58    introduced(split_symbol_definition)).
% 0.21/0.58  fof(f130,plain,(
% 0.21/0.58    ~aRewritingSystem0(xR)|spl0_1),
% 0.21/0.58    inference(component_clause,[status(thm)],[f128])).
% 0.21/0.58  fof(f136,plain,(
% 0.21/0.58    $false|spl0_1),
% 0.21/0.58    inference(forward_subsumption_resolution,[status(thm)],[f130,f99])).
% 0.21/0.58  fof(f137,plain,(
% 0.21/0.58    spl0_1),
% 0.21/0.58    inference(contradiction_clause,[status(thm)],[f136])).
% 0.21/0.58  fof(f158,plain,(
% 0.21/0.58    spl0_5 <=> ~aElement0(X0)|aNormalFormOfIn0(sk0_12(X0,xR),X0,xR)),
% 0.21/0.58    introduced(split_symbol_definition)).
% 0.21/0.58  fof(f159,plain,(
% 0.21/0.58    ![X0]: (~aElement0(X0)|aNormalFormOfIn0(sk0_12(X0,xR),X0,xR)|~spl0_5)),
% 0.21/0.58    inference(component_clause,[status(thm)],[f158])).
% 0.21/0.58  fof(f161,plain,(
% 0.21/0.58    ![X0]: (~aRewritingSystem0(xR)|~aElement0(X0)|aNormalFormOfIn0(sk0_12(X0,xR),X0,xR))),
% 0.21/0.58    inference(resolution,[status(thm)],[f98,f101])).
% 0.21/0.58  fof(f162,plain,(
% 0.21/0.58    ~spl0_1|spl0_5),
% 0.21/0.58    inference(split_clause,[status(thm)],[f161,f128,f158])).
% 0.21/0.58  fof(f163,plain,(
% 0.21/0.58    ~aElement0(xw)|~spl0_5),
% 0.21/0.58    inference(resolution,[status(thm)],[f159,f122])).
% 0.21/0.58  fof(f164,plain,(
% 0.21/0.58    $false|~spl0_5),
% 0.21/0.58    inference(forward_subsumption_resolution,[status(thm)],[f163,f118])).
% 0.21/0.58  fof(f165,plain,(
% 0.21/0.58    ~spl0_5),
% 0.21/0.58    inference(contradiction_clause,[status(thm)],[f164])).
% 0.21/0.58  fof(f166,plain,(
% 0.21/0.58    $false),
% 0.21/0.58    inference(sat_refutation,[status(thm)],[f137,f162,f165])).
% 0.21/0.58  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.58  % Elapsed time: 0.021422 seconds
% 0.21/0.58  % CPU time: 0.044343 seconds
% 0.21/0.58  % Memory used: 14.908 MB
%------------------------------------------------------------------------------