TSTP Solution File: COM020+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:14:03 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:58:27 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52 fof(f3,axiom,(
% 0.20/0.52 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f6,definition,(
% 0.20/0.52 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtplgtdt0(W0,W1,W2)<=> ( aReductOfIn0(W2,W0,W1)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,W1)& sdtmndtplgtdt0(W3,W1,W2) ) )) ) ) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f9,axiom,(
% 0.20/0.52 (! [W0,W1,W2,W3] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2)& aElement0(W3) )=> ( ( sdtmndtasgtdt0(W0,W1,W2)& sdtmndtasgtdt0(W2,W1,W3) )=> sdtmndtasgtdt0(W0,W1,W3) ) ) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f12,definition,(
% 0.20/0.52 (! [W0] :( aRewritingSystem0(W0)=> ( isTerminating0(W0)<=> (! [W1,W2] :( ( aElement0(W1)& aElement0(W2) )=> ( sdtmndtplgtdt0(W1,W0,W2)=> iLess0(W2,W1) ) ) )) ) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f13,definition,(
% 0.20/0.52 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aNormalFormOfIn0(W2,W0,W1)<=> ( aElement0(W2)& sdtmndtasgtdt0(W0,W1,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,W1) )) ) )) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f15,hypothesis,(
% 0.20/0.52 aRewritingSystem0(xR) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f16,hypothesis,(
% 0.20/0.52 ( isLocallyConfluent0(xR)& isTerminating0(xR) ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f17,hypothesis,(
% 0.20/0.52 ( aElement0(xa)& aElement0(xb)& aElement0(xc) ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f18,hypothesis,(
% 0.20/0.52 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& sdtmndtasgtdt0(W0,xR,W1)& sdtmndtasgtdt0(W0,xR,W2) )=> ( iLess0(W0,xa)=> (? [W3] :( aElement0(W3)& sdtmndtasgtdt0(W1,xR,W3)& sdtmndtasgtdt0(W2,xR,W3) ) )) ) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f20,hypothesis,(
% 0.20/0.52 ( aElement0(xu)& aReductOfIn0(xu,xa,xR)& sdtmndtasgtdt0(xu,xR,xb) ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f22,hypothesis,(
% 0.20/0.52 ( aElement0(xw)& sdtmndtasgtdt0(xu,xR,xw)& sdtmndtasgtdt0(xv,xR,xw) ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f23,hypothesis,(
% 0.20/0.52 aNormalFormOfIn0(xd,xw,xR) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f24,conjecture,(
% 0.20/0.52 (? [W0] :( aElement0(W0)& sdtmndtasgtdt0(xb,xR,W0)& sdtmndtasgtdt0(xd,xR,W0) ) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f25,negated_conjecture,(
% 0.20/0.52 ~((? [W0] :( aElement0(W0)& sdtmndtasgtdt0(xb,xR,W0)& sdtmndtasgtdt0(xd,xR,W0) ) ))),
% 0.20/0.52 inference(negated_conjecture,[status(cth)],[f24])).
% 0.20/0.52 fof(f32,plain,(
% 0.20/0.52 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.52 fof(f33,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.52 fof(f38,plain,(
% 0.20/0.52 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtplgtdt0(W0,W1,W2)<=>(aReductOfIn0(W2,W0,W1)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2))))))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.52 fof(f39,plain,(
% 0.20/0.52 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2)))))&(sdtmndtplgtdt0(W0,W1,W2)|(~aReductOfIn0(W2,W0,W1)&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2)))))))),
% 0.20/0.52 inference(NNF_transformation,[status(esa)],[f38])).
% 0.20/0.52 fof(f40,plain,(
% 0.20/0.52 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|((aElement0(sk0_0(W2,W1,W0))&aReductOfIn0(sk0_0(W2,W1,W0),W0,W1))&sdtmndtplgtdt0(sk0_0(W2,W1,W0),W1,W2))))&(sdtmndtplgtdt0(W0,W1,W2)|(~aReductOfIn0(W2,W0,W1)&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2)))))))),
% 0.20/0.52 inference(skolemization,[status(esa)],[f39])).
% 0.20/0.52 fof(f44,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.52 fof(f53,plain,(
% 0.20/0.52 ![W0,W1,W2,W3]: ((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtasgtdt0(W0,W1,W2)|~sdtmndtasgtdt0(W2,W1,W3))|sdtmndtasgtdt0(W0,W1,W3)))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.52 fof(f54,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~aElement0(X3)|~sdtmndtasgtdt0(X0,X1,X2)|~sdtmndtasgtdt0(X2,X1,X3)|sdtmndtasgtdt0(X0,X1,X3))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f53])).
% 0.20/0.52 fof(f81,plain,(
% 0.20/0.52 ![W0]: (~aRewritingSystem0(W0)|(isTerminating0(W0)<=>(![W1,W2]: ((~aElement0(W1)|~aElement0(W2))|(~sdtmndtplgtdt0(W1,W0,W2)|iLess0(W2,W1))))))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.20/0.52 fof(f82,plain,(
% 0.20/0.52 ![W0]: (~aRewritingSystem0(W0)|((~isTerminating0(W0)|(![W1,W2]: ((~aElement0(W1)|~aElement0(W2))|(~sdtmndtplgtdt0(W1,W0,W2)|iLess0(W2,W1)))))&(isTerminating0(W0)|(?[W1,W2]: ((aElement0(W1)&aElement0(W2))&(sdtmndtplgtdt0(W1,W0,W2)&~iLess0(W2,W1)))))))),
% 0.20/0.52 inference(NNF_transformation,[status(esa)],[f81])).
% 0.20/0.52 fof(f83,plain,(
% 0.20/0.52 ![W0]: (~aRewritingSystem0(W0)|((~isTerminating0(W0)|(![W1,W2]: ((~aElement0(W1)|~aElement0(W2))|(~sdtmndtplgtdt0(W1,W0,W2)|iLess0(W2,W1)))))&(isTerminating0(W0)|((aElement0(sk0_9(W0))&aElement0(sk0_10(W0)))&(sdtmndtplgtdt0(sk0_9(W0),W0,sk0_10(W0))&~iLess0(sk0_10(W0),sk0_9(W0)))))))),
% 0.20/0.52 inference(skolemization,[status(esa)],[f82])).
% 0.20/0.52 fof(f84,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aRewritingSystem0(X0)|~isTerminating0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X1,X0,X2)|iLess0(X2,X1))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f83])).
% 0.20/0.52 fof(f89,plain,(
% 0.20/0.52 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (aNormalFormOfIn0(W2,W0,W1)<=>((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.52 fof(f90,plain,(
% 0.20/0.52 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: ((~aNormalFormOfIn0(W2,W0,W1)|((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))&(aNormalFormOfIn0(W2,W0,W1)|((~aElement0(W2)|~sdtmndtasgtdt0(W0,W1,W2))|(?[W3]: aReductOfIn0(W3,W2,W1)))))))),
% 0.20/0.52 inference(NNF_transformation,[status(esa)],[f89])).
% 0.20/0.52 fof(f91,plain,(
% 0.20/0.52 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|((![W2]: (~aNormalFormOfIn0(W2,W0,W1)|((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1)))))&(![W2]: (aNormalFormOfIn0(W2,W0,W1)|((~aElement0(W2)|~sdtmndtasgtdt0(W0,W1,W2))|(?[W3]: aReductOfIn0(W3,W2,W1)))))))),
% 0.20/0.52 inference(miniscoping,[status(esa)],[f90])).
% 0.20/0.52 fof(f92,plain,(
% 0.20/0.52 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|((![W2]: (~aNormalFormOfIn0(W2,W0,W1)|((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1)))))&(![W2]: (aNormalFormOfIn0(W2,W0,W1)|((~aElement0(W2)|~sdtmndtasgtdt0(W0,W1,W2))|aReductOfIn0(sk0_11(W2,W1,W0),W2,W1))))))),
% 0.20/0.52 inference(skolemization,[status(esa)],[f91])).
% 0.20/0.52 fof(f93,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|aElement0(X2))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f92])).
% 0.20/0.52 fof(f94,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|sdtmndtasgtdt0(X0,X1,X2))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f92])).
% 0.20/0.52 fof(f100,plain,(
% 0.20/0.52 aRewritingSystem0(xR)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.52 fof(f101,plain,(
% 0.20/0.52 isLocallyConfluent0(xR)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.52 fof(f102,plain,(
% 0.20/0.52 isTerminating0(xR)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.52 fof(f103,plain,(
% 0.20/0.52 aElement0(xa)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.52 fof(f104,plain,(
% 0.20/0.52 aElement0(xb)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.52 fof(f106,plain,(
% 0.20/0.52 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~sdtmndtasgtdt0(W0,xR,W1))|~sdtmndtasgtdt0(W0,xR,W2))|(~iLess0(W0,xa)|(?[W3]: ((aElement0(W3)&sdtmndtasgtdt0(W1,xR,W3))&sdtmndtasgtdt0(W2,xR,W3)))))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.52 fof(f107,plain,(
% 0.20/0.52 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~sdtmndtasgtdt0(W0,xR,W1))|~sdtmndtasgtdt0(W0,xR,W2))|(~iLess0(W0,xa)|((aElement0(sk0_13(W2,W1,W0))&sdtmndtasgtdt0(W1,xR,sk0_13(W2,W1,W0)))&sdtmndtasgtdt0(W2,xR,sk0_13(W2,W1,W0)))))),
% 0.20/0.52 inference(skolemization,[status(esa)],[f106])).
% 0.20/0.52 fof(f108,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|aElement0(sk0_13(X2,X1,X0)))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f107])).
% 0.20/0.52 fof(f109,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|sdtmndtasgtdt0(X1,xR,sk0_13(X2,X1,X0)))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f107])).
% 0.20/0.52 fof(f110,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|sdtmndtasgtdt0(X2,xR,sk0_13(X2,X1,X0)))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f107])).
% 0.20/0.52 fof(f113,plain,(
% 0.20/0.52 aElement0(xu)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.52 fof(f114,plain,(
% 0.20/0.52 aReductOfIn0(xu,xa,xR)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.52 fof(f115,plain,(
% 0.20/0.52 sdtmndtasgtdt0(xu,xR,xb)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.52 fof(f119,plain,(
% 0.20/0.52 aElement0(xw)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.52 fof(f120,plain,(
% 0.20/0.52 sdtmndtasgtdt0(xu,xR,xw)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.52 fof(f122,plain,(
% 0.20/0.52 aNormalFormOfIn0(xd,xw,xR)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.52 fof(f123,plain,(
% 0.20/0.52 (![W0]: ((~aElement0(W0)|~sdtmndtasgtdt0(xb,xR,W0))|~sdtmndtasgtdt0(xd,xR,W0)))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.20/0.52 fof(f124,plain,(
% 0.20/0.52 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xb,xR,X0)|~sdtmndtasgtdt0(xd,xR,X0))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f123])).
% 0.20/0.52 fof(f125,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f44,f33])).
% 0.20/0.52 fof(f135,plain,(
% 0.20/0.52 spl0_1 <=> aRewritingSystem0(xR)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f137,plain,(
% 0.20/0.52 ~aRewritingSystem0(xR)|spl0_1),
% 0.20/0.52 inference(component_clause,[status(thm)],[f135])).
% 0.20/0.52 fof(f138,plain,(
% 0.20/0.52 spl0_2 <=> aElement0(xu)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f140,plain,(
% 0.20/0.52 ~aElement0(xu)|spl0_2),
% 0.20/0.52 inference(component_clause,[status(thm)],[f138])).
% 0.20/0.52 fof(f141,plain,(
% 0.20/0.52 spl0_3 <=> aElement0(xb)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f143,plain,(
% 0.20/0.52 ~aElement0(xb)|spl0_3),
% 0.20/0.52 inference(component_clause,[status(thm)],[f141])).
% 0.20/0.52 fof(f146,plain,(
% 0.20/0.52 $false|spl0_3),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f143,f104])).
% 0.20/0.52 fof(f147,plain,(
% 0.20/0.52 spl0_3),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f146])).
% 0.20/0.52 fof(f148,plain,(
% 0.20/0.52 $false|spl0_2),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f140,f113])).
% 0.20/0.52 fof(f149,plain,(
% 0.20/0.52 spl0_2),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f148])).
% 0.20/0.52 fof(f150,plain,(
% 0.20/0.52 $false|spl0_1),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f137,f100])).
% 0.20/0.52 fof(f151,plain,(
% 0.20/0.52 spl0_1),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f150])).
% 0.20/0.52 fof(f164,plain,(
% 0.20/0.52 spl0_6 <=> aElement0(xa)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f166,plain,(
% 0.20/0.52 ~aElement0(xa)|spl0_6),
% 0.20/0.52 inference(component_clause,[status(thm)],[f164])).
% 0.20/0.52 fof(f169,plain,(
% 0.20/0.52 $false|spl0_6),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f166,f103])).
% 0.20/0.52 fof(f170,plain,(
% 0.20/0.52 spl0_6),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f169])).
% 0.20/0.52 fof(f219,plain,(
% 0.20/0.52 spl0_15 <=> aElement0(xw)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f221,plain,(
% 0.20/0.52 ~aElement0(xw)|spl0_15),
% 0.20/0.52 inference(component_clause,[status(thm)],[f219])).
% 0.20/0.52 fof(f224,plain,(
% 0.20/0.52 $false|spl0_15),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f221,f119])).
% 0.20/0.52 fof(f225,plain,(
% 0.20/0.52 spl0_15),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f224])).
% 0.20/0.52 fof(f238,plain,(
% 0.20/0.52 spl0_18 <=> sdtmndtplgtdt0(xa,xR,xu)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f239,plain,(
% 0.20/0.52 sdtmndtplgtdt0(xa,xR,xu)|~spl0_18),
% 0.20/0.52 inference(component_clause,[status(thm)],[f238])).
% 0.20/0.52 fof(f241,plain,(
% 0.20/0.52 ~aElement0(xa)|~aRewritingSystem0(xR)|sdtmndtplgtdt0(xa,xR,xu)),
% 0.20/0.52 inference(resolution,[status(thm)],[f125,f114])).
% 0.20/0.52 fof(f242,plain,(
% 0.20/0.52 ~spl0_6|~spl0_1|spl0_18),
% 0.20/0.52 inference(split_clause,[status(thm)],[f241,f164,f135,f238])).
% 0.20/0.52 fof(f286,plain,(
% 0.20/0.52 spl0_28 <=> aElement0(xd)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f289,plain,(
% 0.20/0.52 ~aElement0(xw)|~aRewritingSystem0(xR)|aElement0(xd)),
% 0.20/0.52 inference(resolution,[status(thm)],[f93,f122])).
% 0.20/0.52 fof(f290,plain,(
% 0.20/0.52 ~spl0_15|~spl0_1|spl0_28),
% 0.20/0.52 inference(split_clause,[status(thm)],[f289,f219,f135,f286])).
% 0.20/0.52 fof(f316,plain,(
% 0.20/0.52 spl0_34 <=> isTerminating0(xR)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f318,plain,(
% 0.20/0.52 ~isTerminating0(xR)|spl0_34),
% 0.20/0.52 inference(component_clause,[status(thm)],[f316])).
% 0.20/0.52 fof(f324,plain,(
% 0.20/0.52 spl0_36 <=> sdtmndtasgtdt0(xw,xR,xd)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f325,plain,(
% 0.20/0.52 sdtmndtasgtdt0(xw,xR,xd)|~spl0_36),
% 0.20/0.52 inference(component_clause,[status(thm)],[f324])).
% 0.20/0.52 fof(f327,plain,(
% 0.20/0.52 ~aElement0(xw)|~aRewritingSystem0(xR)|sdtmndtasgtdt0(xw,xR,xd)),
% 0.20/0.52 inference(resolution,[status(thm)],[f94,f122])).
% 0.20/0.52 fof(f328,plain,(
% 0.20/0.52 ~spl0_15|~spl0_1|spl0_36),
% 0.20/0.52 inference(split_clause,[status(thm)],[f327,f219,f135,f324])).
% 0.20/0.52 fof(f329,plain,(
% 0.20/0.52 spl0_37 <=> ~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f330,plain,(
% 0.20/0.52 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd)|~spl0_37)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f329])).
% 0.20/0.52 fof(f332,plain,(
% 0.20/0.52 ![X0]: (~aElement0(X0)|~aRewritingSystem0(xR)|~aElement0(xw)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd)|~spl0_36)),
% 0.20/0.52 inference(resolution,[status(thm)],[f325,f54])).
% 0.20/0.52 fof(f333,plain,(
% 0.20/0.52 spl0_37|~spl0_1|~spl0_15|~spl0_28|~spl0_36),
% 0.20/0.52 inference(split_clause,[status(thm)],[f332,f329,f135,f219,f286,f324])).
% 0.20/0.52 fof(f336,plain,(
% 0.20/0.52 spl0_38 <=> sdtmndtasgtdt0(xu,xR,xd)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f337,plain,(
% 0.20/0.52 sdtmndtasgtdt0(xu,xR,xd)|~spl0_38),
% 0.20/0.52 inference(component_clause,[status(thm)],[f336])).
% 0.20/0.52 fof(f339,plain,(
% 0.20/0.52 ~aElement0(xu)|sdtmndtasgtdt0(xu,xR,xd)|~spl0_37),
% 0.20/0.52 inference(resolution,[status(thm)],[f330,f120])).
% 0.20/0.52 fof(f340,plain,(
% 0.20/0.52 ~spl0_2|spl0_38|~spl0_37),
% 0.20/0.52 inference(split_clause,[status(thm)],[f339,f138,f336,f329])).
% 0.20/0.52 fof(f781,plain,(
% 0.20/0.52 spl0_97 <=> iLess0(xu,xa)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f784,plain,(
% 0.20/0.52 ~aRewritingSystem0(xR)|~isTerminating0(xR)|~aElement0(xa)|~aElement0(xu)|iLess0(xu,xa)|~spl0_18),
% 0.20/0.52 inference(resolution,[status(thm)],[f84,f239])).
% 0.20/0.52 fof(f785,plain,(
% 0.20/0.52 ~spl0_1|~spl0_34|~spl0_6|~spl0_2|spl0_97|~spl0_18),
% 0.20/0.52 inference(split_clause,[status(thm)],[f784,f135,f316,f164,f138,f781,f238])).
% 0.20/0.52 fof(f806,plain,(
% 0.20/0.52 $false|spl0_34),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f318,f102])).
% 0.20/0.52 fof(f807,plain,(
% 0.20/0.52 spl0_34),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f806])).
% 0.20/0.52 fof(f909,plain,(
% 0.20/0.52 spl0_123 <=> isLocallyConfluent0(xR)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f911,plain,(
% 0.20/0.52 ~isLocallyConfluent0(xR)|spl0_123),
% 0.20/0.52 inference(component_clause,[status(thm)],[f909])).
% 0.20/0.52 fof(f942,plain,(
% 0.20/0.52 $false|spl0_123),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f911,f101])).
% 0.20/0.52 fof(f943,plain,(
% 0.20/0.52 spl0_123),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f942])).
% 0.20/0.52 fof(f972,plain,(
% 0.20/0.52 spl0_135 <=> ~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|aElement0(sk0_13(X0,xd,xu))),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f973,plain,(
% 0.20/0.52 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|aElement0(sk0_13(X0,xd,xu))|~spl0_135)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f972])).
% 0.20/0.52 fof(f975,plain,(
% 0.20/0.52 ![X0]: (~aElement0(xu)|~aElement0(xd)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|aElement0(sk0_13(X0,xd,xu))|~spl0_38)),
% 0.20/0.53 inference(resolution,[status(thm)],[f108,f337])).
% 0.20/0.53 fof(f976,plain,(
% 0.20/0.53 ~spl0_2|~spl0_28|spl0_135|~spl0_97|~spl0_38),
% 0.20/0.53 inference(split_clause,[status(thm)],[f975,f138,f286,f972,f781,f336])).
% 0.20/0.53 fof(f1040,plain,(
% 0.20/0.53 spl0_149 <=> aElement0(sk0_13(xb,xd,xu))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1043,plain,(
% 0.20/0.53 ~aElement0(xb)|aElement0(sk0_13(xb,xd,xu))|~spl0_135),
% 0.20/0.53 inference(resolution,[status(thm)],[f973,f115])).
% 0.20/0.53 fof(f1044,plain,(
% 0.20/0.53 ~spl0_3|spl0_149|~spl0_135),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1043,f141,f1040,f972])).
% 0.20/0.53 fof(f1062,plain,(
% 0.20/0.53 spl0_153 <=> ~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(xd,xR,sk0_13(X0,xd,xu))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1063,plain,(
% 0.20/0.53 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(xd,xR,sk0_13(X0,xd,xu))|~spl0_153)),
% 0.20/0.53 inference(component_clause,[status(thm)],[f1062])).
% 0.20/0.53 fof(f1065,plain,(
% 0.20/0.53 ![X0]: (~aElement0(xu)|~aElement0(xd)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(xd,xR,sk0_13(X0,xd,xu))|~spl0_38)),
% 0.20/0.53 inference(resolution,[status(thm)],[f109,f337])).
% 0.20/0.53 fof(f1066,plain,(
% 0.20/0.53 ~spl0_2|~spl0_28|spl0_153|~spl0_97|~spl0_38),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1065,f138,f286,f1062,f781,f336])).
% 0.20/0.53 fof(f1194,plain,(
% 0.20/0.53 spl0_179 <=> sdtmndtasgtdt0(xd,xR,sk0_13(xb,xd,xu))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1195,plain,(
% 0.20/0.53 sdtmndtasgtdt0(xd,xR,sk0_13(xb,xd,xu))|~spl0_179),
% 0.20/0.53 inference(component_clause,[status(thm)],[f1194])).
% 0.20/0.53 fof(f1197,plain,(
% 0.20/0.53 ~aElement0(xb)|sdtmndtasgtdt0(xd,xR,sk0_13(xb,xd,xu))|~spl0_153),
% 0.20/0.53 inference(resolution,[status(thm)],[f1063,f115])).
% 0.20/0.53 fof(f1198,plain,(
% 0.20/0.53 ~spl0_3|spl0_179|~spl0_153),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1197,f141,f1194,f1062])).
% 0.20/0.53 fof(f1242,plain,(
% 0.20/0.53 spl0_189 <=> sdtmndtasgtdt0(xb,xR,sk0_13(xb,xd,xu))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1245,plain,(
% 0.20/0.53 ~aElement0(sk0_13(xb,xd,xu))|~sdtmndtasgtdt0(xb,xR,sk0_13(xb,xd,xu))|~spl0_179),
% 0.20/0.53 inference(resolution,[status(thm)],[f1195,f124])).
% 0.20/0.53 fof(f1246,plain,(
% 0.20/0.53 ~spl0_149|~spl0_189|~spl0_179),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1245,f1040,f1242,f1194])).
% 0.20/0.53 fof(f1290,plain,(
% 0.20/0.53 spl0_199 <=> ~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(X0,xd,xu))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1291,plain,(
% 0.20/0.53 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(X0,xd,xu))|~spl0_199)),
% 0.20/0.53 inference(component_clause,[status(thm)],[f1290])).
% 0.20/0.53 fof(f1293,plain,(
% 0.20/0.53 ![X0]: (~aElement0(xu)|~aElement0(xd)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(X0,xR,sk0_13(X0,xd,xu))|~spl0_38)),
% 0.20/0.53 inference(resolution,[status(thm)],[f110,f337])).
% 0.20/0.53 fof(f1294,plain,(
% 0.20/0.53 ~spl0_2|~spl0_28|spl0_199|~spl0_97|~spl0_38),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1293,f138,f286,f1290,f781,f336])).
% 0.20/0.53 fof(f1345,plain,(
% 0.20/0.53 ~aElement0(xb)|sdtmndtasgtdt0(xb,xR,sk0_13(xb,xd,xu))|~spl0_199),
% 0.20/0.53 inference(resolution,[status(thm)],[f1291,f115])).
% 0.20/0.53 fof(f1346,plain,(
% 0.20/0.53 ~spl0_3|spl0_189|~spl0_199),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1345,f141,f1242,f1290])).
% 0.20/0.53 fof(f1352,plain,(
% 0.20/0.53 $false),
% 0.20/0.53 inference(sat_refutation,[status(thm)],[f147,f149,f151,f170,f225,f242,f290,f328,f333,f340,f785,f807,f943,f976,f1044,f1066,f1198,f1246,f1294,f1346])).
% 0.20/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 1.32/0.54 % Elapsed time: 0.186568 seconds
% 1.32/0.54 % CPU time: 1.356548 seconds
% 1.32/0.54 % Total memory used: 64.399 MB
% 1.32/0.54 % Net memory used: 63.889 MB
%------------------------------------------------------------------------------