TSTP Solution File: COM019+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM019+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 1.25s 0.52s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM019+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.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 : Tue Apr 30 01:01:43 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 1.25/0.52 % Refutation found
% 1.25/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.25/0.52 % SZS output start CNFRefutation for theBenchmark
% 1.25/0.52 fof(f3,axiom,(
% 1.25/0.52 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f6,definition,(
% 1.25/0.52 (! [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) ) )) ) ) )),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f8,definition,(
% 1.25/0.52 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtasgtdt0(W0,W1,W2)<=> ( W0 = W2| sdtmndtplgtdt0(W0,W1,W2) ) ) ) )),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f9,axiom,(
% 1.25/0.52 (! [W0,W1,W2,W3] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2)& aElement0(W3) )=> ( ( sdtmndtasgtdt0(W0,W1,W2)& sdtmndtasgtdt0(W2,W1,W3) )=> sdtmndtasgtdt0(W0,W1,W3) ) ) )),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f12,definition,(
% 1.25/0.52 (! [W0] :( aRewritingSystem0(W0)=> ( isTerminating0(W0)<=> (! [W1,W2] :( ( aElement0(W1)& aElement0(W2) )=> ( sdtmndtplgtdt0(W1,W0,W2)=> iLess0(W2,W1) ) ) )) ) )),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f13,definition,(
% 1.25/0.52 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aNormalFormOfIn0(W2,W0,W1)<=> ( aElement0(W2)& sdtmndtasgtdt0(W0,W1,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,W1) )) ) )) )),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f15,hypothesis,(
% 1.25/0.52 aRewritingSystem0(xR) ),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f16,hypothesis,(
% 1.25/0.52 ( isLocallyConfluent0(xR)& isTerminating0(xR) ) ),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f17,hypothesis,(
% 1.25/0.52 ( aElement0(xa)& aElement0(xb)& aElement0(xc) ) ),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f18,hypothesis,(
% 1.25/0.52 (! [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) ) )) ) )),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f20,hypothesis,(
% 1.25/0.52 ( aElement0(xu)& aReductOfIn0(xu,xa,xR)& sdtmndtasgtdt0(xu,xR,xb) ) ),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f22,hypothesis,(
% 1.25/0.52 ( aElement0(xw)& sdtmndtasgtdt0(xu,xR,xw)& sdtmndtasgtdt0(xv,xR,xw) ) ),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f23,hypothesis,(
% 1.25/0.52 aNormalFormOfIn0(xd,xw,xR) ),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f24,conjecture,(
% 1.25/0.52 sdtmndtasgtdt0(xb,xR,xd) ),
% 1.25/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.25/0.52 fof(f25,negated_conjecture,(
% 1.25/0.52 ~(sdtmndtasgtdt0(xb,xR,xd) )),
% 1.25/0.52 inference(negated_conjecture,[status(cth)],[f24])).
% 1.25/0.52 fof(f32,plain,(
% 1.25/0.52 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 1.25/0.52 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 1.25/0.52 fof(f33,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f32])).
% 1.25/0.52 fof(f38,plain,(
% 1.25/0.52 ![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))))))),
% 1.25/0.52 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 1.25/0.52 fof(f39,plain,(
% 1.25/0.52 ![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)))))))),
% 1.25/0.52 inference(NNF_transformation,[status(esa)],[f38])).
% 1.25/0.52 fof(f40,plain,(
% 1.25/0.52 ![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)))))))),
% 1.25/0.52 inference(skolemization,[status(esa)],[f39])).
% 1.25/0.52 fof(f42,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X0,X1,X2)|aReductOfIn0(X2,X0,X1)|aReductOfIn0(sk0_0(X2,X1,X0),X0,X1))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f40])).
% 1.25/0.52 fof(f44,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f40])).
% 1.25/0.52 fof(f48,plain,(
% 1.25/0.52 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))),
% 1.25/0.52 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 1.25/0.52 fof(f49,plain,(
% 1.25/0.52 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtasgtdt0(W0,W1,W2)|(W0=W2|sdtmndtplgtdt0(W0,W1,W2)))&(sdtmndtasgtdt0(W0,W1,W2)|(~W0=W2&~sdtmndtplgtdt0(W0,W1,W2)))))),
% 1.25/0.52 inference(NNF_transformation,[status(esa)],[f48])).
% 1.25/0.52 fof(f50,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,X1,X2)|X0=X2|sdtmndtplgtdt0(X0,X1,X2))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f49])).
% 1.25/0.52 fof(f53,plain,(
% 1.25/0.52 ![W0,W1,W2,W3]: ((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtasgtdt0(W0,W1,W2)|~sdtmndtasgtdt0(W2,W1,W3))|sdtmndtasgtdt0(W0,W1,W3)))),
% 1.25/0.52 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 1.25/0.52 fof(f54,plain,(
% 1.25/0.52 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~aElement0(X3)|~sdtmndtasgtdt0(X0,X1,X2)|~sdtmndtasgtdt0(X2,X1,X3)|sdtmndtasgtdt0(X0,X1,X3))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f53])).
% 1.25/0.52 fof(f81,plain,(
% 1.25/0.52 ![W0]: (~aRewritingSystem0(W0)|(isTerminating0(W0)<=>(![W1,W2]: ((~aElement0(W1)|~aElement0(W2))|(~sdtmndtplgtdt0(W1,W0,W2)|iLess0(W2,W1))))))),
% 1.25/0.52 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 1.25/0.52 fof(f82,plain,(
% 1.25/0.52 ![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)))))))),
% 1.25/0.52 inference(NNF_transformation,[status(esa)],[f81])).
% 1.25/0.52 fof(f83,plain,(
% 1.25/0.52 ![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)))))))),
% 1.25/0.52 inference(skolemization,[status(esa)],[f82])).
% 1.25/0.52 fof(f84,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aRewritingSystem0(X0)|~isTerminating0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X1,X0,X2)|iLess0(X2,X1))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f83])).
% 1.25/0.52 fof(f89,plain,(
% 1.25/0.52 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (aNormalFormOfIn0(W2,W0,W1)<=>((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))))),
% 1.25/0.52 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 1.25/0.52 fof(f90,plain,(
% 1.25/0.52 ![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)))))))),
% 1.25/0.52 inference(NNF_transformation,[status(esa)],[f89])).
% 1.25/0.52 fof(f91,plain,(
% 1.25/0.52 ![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)))))))),
% 1.25/0.52 inference(miniscoping,[status(esa)],[f90])).
% 1.25/0.52 fof(f92,plain,(
% 1.25/0.52 ![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))))))),
% 1.25/0.52 inference(skolemization,[status(esa)],[f91])).
% 1.25/0.52 fof(f93,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|aElement0(X2))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f92])).
% 1.25/0.52 fof(f94,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|sdtmndtasgtdt0(X0,X1,X2))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f92])).
% 1.25/0.52 fof(f95,plain,(
% 1.25/0.52 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|~aReductOfIn0(X3,X2,X1))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f92])).
% 1.25/0.52 fof(f100,plain,(
% 1.25/0.52 aRewritingSystem0(xR)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f15])).
% 1.25/0.52 fof(f101,plain,(
% 1.25/0.52 isLocallyConfluent0(xR)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f16])).
% 1.25/0.52 fof(f102,plain,(
% 1.25/0.52 isTerminating0(xR)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f16])).
% 1.25/0.52 fof(f103,plain,(
% 1.25/0.52 aElement0(xa)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 1.25/0.52 fof(f104,plain,(
% 1.25/0.52 aElement0(xb)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 1.25/0.52 fof(f106,plain,(
% 1.25/0.52 ![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)))))),
% 1.25/0.52 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 1.25/0.52 fof(f107,plain,(
% 1.25/0.52 ![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)))))),
% 1.25/0.52 inference(skolemization,[status(esa)],[f106])).
% 1.25/0.52 fof(f108,plain,(
% 1.25/0.52 ![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)))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f107])).
% 1.25/0.52 fof(f109,plain,(
% 1.25/0.52 ![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)))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f107])).
% 1.25/0.52 fof(f110,plain,(
% 1.25/0.52 ![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)))),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f107])).
% 1.25/0.52 fof(f113,plain,(
% 1.25/0.52 aElement0(xu)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 1.25/0.52 fof(f114,plain,(
% 1.25/0.52 aReductOfIn0(xu,xa,xR)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 1.25/0.52 fof(f115,plain,(
% 1.25/0.52 sdtmndtasgtdt0(xu,xR,xb)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 1.25/0.52 fof(f119,plain,(
% 1.25/0.52 aElement0(xw)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f22])).
% 1.25/0.52 fof(f120,plain,(
% 1.25/0.52 sdtmndtasgtdt0(xu,xR,xw)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f22])).
% 1.25/0.52 fof(f122,plain,(
% 1.25/0.52 aNormalFormOfIn0(xd,xw,xR)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f23])).
% 1.25/0.52 fof(f123,plain,(
% 1.25/0.52 ~sdtmndtasgtdt0(xb,xR,xd)),
% 1.25/0.52 inference(cnf_transformation,[status(esa)],[f25])).
% 1.25/0.52 fof(f124,plain,(
% 1.25/0.52 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f44,f33])).
% 1.25/0.52 fof(f136,plain,(
% 1.25/0.52 spl0_1 <=> aRewritingSystem0(xR)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f138,plain,(
% 1.25/0.52 ~aRewritingSystem0(xR)|spl0_1),
% 1.25/0.52 inference(component_clause,[status(thm)],[f136])).
% 1.25/0.52 fof(f139,plain,(
% 1.25/0.52 spl0_2 <=> aElement0(xu)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f141,plain,(
% 1.25/0.52 ~aElement0(xu)|spl0_2),
% 1.25/0.52 inference(component_clause,[status(thm)],[f139])).
% 1.25/0.52 fof(f142,plain,(
% 1.25/0.52 spl0_3 <=> aElement0(xb)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f144,plain,(
% 1.25/0.52 ~aElement0(xb)|spl0_3),
% 1.25/0.52 inference(component_clause,[status(thm)],[f142])).
% 1.25/0.52 fof(f147,plain,(
% 1.25/0.52 $false|spl0_3),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f144,f104])).
% 1.25/0.52 fof(f148,plain,(
% 1.25/0.52 spl0_3),
% 1.25/0.52 inference(contradiction_clause,[status(thm)],[f147])).
% 1.25/0.52 fof(f149,plain,(
% 1.25/0.52 $false|spl0_2),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f141,f113])).
% 1.25/0.52 fof(f150,plain,(
% 1.25/0.52 spl0_2),
% 1.25/0.52 inference(contradiction_clause,[status(thm)],[f149])).
% 1.25/0.52 fof(f151,plain,(
% 1.25/0.52 $false|spl0_1),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f138,f100])).
% 1.25/0.52 fof(f152,plain,(
% 1.25/0.52 spl0_1),
% 1.25/0.52 inference(contradiction_clause,[status(thm)],[f151])).
% 1.25/0.52 fof(f163,plain,(
% 1.25/0.52 spl0_6 <=> aElement0(xa)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f165,plain,(
% 1.25/0.52 ~aElement0(xa)|spl0_6),
% 1.25/0.52 inference(component_clause,[status(thm)],[f163])).
% 1.25/0.52 fof(f168,plain,(
% 1.25/0.52 $false|spl0_6),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f165,f103])).
% 1.25/0.52 fof(f169,plain,(
% 1.25/0.52 spl0_6),
% 1.25/0.52 inference(contradiction_clause,[status(thm)],[f168])).
% 1.25/0.52 fof(f218,plain,(
% 1.25/0.52 spl0_15 <=> aElement0(xw)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f220,plain,(
% 1.25/0.52 ~aElement0(xw)|spl0_15),
% 1.25/0.52 inference(component_clause,[status(thm)],[f218])).
% 1.25/0.52 fof(f223,plain,(
% 1.25/0.52 $false|spl0_15),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f220,f119])).
% 1.25/0.52 fof(f224,plain,(
% 1.25/0.52 spl0_15),
% 1.25/0.52 inference(contradiction_clause,[status(thm)],[f223])).
% 1.25/0.52 fof(f237,plain,(
% 1.25/0.52 spl0_18 <=> sdtmndtplgtdt0(xa,xR,xu)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f238,plain,(
% 1.25/0.52 sdtmndtplgtdt0(xa,xR,xu)|~spl0_18),
% 1.25/0.52 inference(component_clause,[status(thm)],[f237])).
% 1.25/0.52 fof(f240,plain,(
% 1.25/0.52 ~aElement0(xa)|~aRewritingSystem0(xR)|sdtmndtplgtdt0(xa,xR,xu)),
% 1.25/0.52 inference(resolution,[status(thm)],[f124,f114])).
% 1.25/0.52 fof(f241,plain,(
% 1.25/0.52 ~spl0_6|~spl0_1|spl0_18),
% 1.25/0.52 inference(split_clause,[status(thm)],[f240,f163,f136,f237])).
% 1.25/0.52 fof(f285,plain,(
% 1.25/0.52 spl0_28 <=> aElement0(xd)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f288,plain,(
% 1.25/0.52 ~aElement0(xw)|~aRewritingSystem0(xR)|aElement0(xd)),
% 1.25/0.52 inference(resolution,[status(thm)],[f93,f122])).
% 1.25/0.52 fof(f289,plain,(
% 1.25/0.52 ~spl0_15|~spl0_1|spl0_28),
% 1.25/0.52 inference(split_clause,[status(thm)],[f288,f218,f136,f285])).
% 1.25/0.52 fof(f310,plain,(
% 1.25/0.52 spl0_33 <=> isTerminating0(xR)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f312,plain,(
% 1.25/0.52 ~isTerminating0(xR)|spl0_33),
% 1.25/0.52 inference(component_clause,[status(thm)],[f310])).
% 1.25/0.52 fof(f318,plain,(
% 1.25/0.52 spl0_35 <=> sdtmndtasgtdt0(xw,xR,xd)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f319,plain,(
% 1.25/0.52 sdtmndtasgtdt0(xw,xR,xd)|~spl0_35),
% 1.25/0.52 inference(component_clause,[status(thm)],[f318])).
% 1.25/0.52 fof(f321,plain,(
% 1.25/0.52 ~aElement0(xw)|~aRewritingSystem0(xR)|sdtmndtasgtdt0(xw,xR,xd)),
% 1.25/0.52 inference(resolution,[status(thm)],[f94,f122])).
% 1.25/0.52 fof(f322,plain,(
% 1.25/0.52 ~spl0_15|~spl0_1|spl0_35),
% 1.25/0.52 inference(split_clause,[status(thm)],[f321,f218,f136,f318])).
% 1.25/0.52 fof(f323,plain,(
% 1.25/0.52 spl0_36 <=> ~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f324,plain,(
% 1.25/0.52 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd)|~spl0_36)),
% 1.25/0.52 inference(component_clause,[status(thm)],[f323])).
% 1.25/0.52 fof(f326,plain,(
% 1.25/0.52 ![X0]: (~aElement0(X0)|~aRewritingSystem0(xR)|~aElement0(xw)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd)|~spl0_35)),
% 1.25/0.52 inference(resolution,[status(thm)],[f319,f54])).
% 1.25/0.52 fof(f327,plain,(
% 1.25/0.52 spl0_36|~spl0_1|~spl0_15|~spl0_28|~spl0_35),
% 1.25/0.52 inference(split_clause,[status(thm)],[f326,f323,f136,f218,f285,f318])).
% 1.25/0.52 fof(f330,plain,(
% 1.25/0.52 spl0_37 <=> sdtmndtasgtdt0(xu,xR,xd)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f331,plain,(
% 1.25/0.52 sdtmndtasgtdt0(xu,xR,xd)|~spl0_37),
% 1.25/0.52 inference(component_clause,[status(thm)],[f330])).
% 1.25/0.52 fof(f333,plain,(
% 1.25/0.52 ~aElement0(xu)|sdtmndtasgtdt0(xu,xR,xd)|~spl0_36),
% 1.25/0.52 inference(resolution,[status(thm)],[f324,f120])).
% 1.25/0.52 fof(f334,plain,(
% 1.25/0.52 ~spl0_2|spl0_37|~spl0_36),
% 1.25/0.52 inference(split_clause,[status(thm)],[f333,f139,f330,f323])).
% 1.25/0.52 fof(f342,plain,(
% 1.25/0.52 spl0_39 <=> ~aReductOfIn0(X0,xd,xR)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f343,plain,(
% 1.25/0.52 ![X0]: (~aReductOfIn0(X0,xd,xR)|~spl0_39)),
% 1.25/0.52 inference(component_clause,[status(thm)],[f342])).
% 1.25/0.52 fof(f345,plain,(
% 1.25/0.52 ![X0]: (~aElement0(xw)|~aRewritingSystem0(xR)|~aReductOfIn0(X0,xd,xR))),
% 1.25/0.52 inference(resolution,[status(thm)],[f95,f122])).
% 1.25/0.52 fof(f346,plain,(
% 1.25/0.52 ~spl0_15|~spl0_1|spl0_39),
% 1.25/0.52 inference(split_clause,[status(thm)],[f345,f218,f136,f342])).
% 1.25/0.52 fof(f842,plain,(
% 1.25/0.52 spl0_112 <=> iLess0(xu,xa)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f845,plain,(
% 1.25/0.52 ~aRewritingSystem0(xR)|~isTerminating0(xR)|~aElement0(xa)|~aElement0(xu)|iLess0(xu,xa)|~spl0_18),
% 1.25/0.52 inference(resolution,[status(thm)],[f84,f238])).
% 1.25/0.52 fof(f846,plain,(
% 1.25/0.52 ~spl0_1|~spl0_33|~spl0_6|~spl0_2|spl0_112|~spl0_18),
% 1.25/0.52 inference(split_clause,[status(thm)],[f845,f136,f310,f163,f139,f842,f237])).
% 1.25/0.52 fof(f867,plain,(
% 1.25/0.52 $false|spl0_33),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f312,f102])).
% 1.25/0.52 fof(f868,plain,(
% 1.25/0.52 spl0_33),
% 1.25/0.52 inference(contradiction_clause,[status(thm)],[f867])).
% 1.25/0.52 fof(f978,plain,(
% 1.25/0.52 spl0_140 <=> isLocallyConfluent0(xR)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f980,plain,(
% 1.25/0.52 ~isLocallyConfluent0(xR)|spl0_140),
% 1.25/0.52 inference(component_clause,[status(thm)],[f978])).
% 1.25/0.52 fof(f1011,plain,(
% 1.25/0.52 $false|spl0_140),
% 1.25/0.52 inference(forward_subsumption_resolution,[status(thm)],[f980,f101])).
% 1.25/0.52 fof(f1012,plain,(
% 1.25/0.52 spl0_140),
% 1.25/0.52 inference(contradiction_clause,[status(thm)],[f1011])).
% 1.25/0.52 fof(f1046,plain,(
% 1.25/0.52 spl0_154 <=> ~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|aElement0(sk0_13(X0,xd,xu))),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f1047,plain,(
% 1.25/0.52 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|aElement0(sk0_13(X0,xd,xu))|~spl0_154)),
% 1.25/0.52 inference(component_clause,[status(thm)],[f1046])).
% 1.25/0.52 fof(f1049,plain,(
% 1.25/0.52 ![X0]: (~aElement0(xu)|~aElement0(xd)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|aElement0(sk0_13(X0,xd,xu))|~spl0_37)),
% 1.25/0.52 inference(resolution,[status(thm)],[f108,f331])).
% 1.25/0.52 fof(f1050,plain,(
% 1.25/0.52 ~spl0_2|~spl0_28|spl0_154|~spl0_112|~spl0_37),
% 1.25/0.52 inference(split_clause,[status(thm)],[f1049,f139,f285,f1046,f842,f330])).
% 1.25/0.52 fof(f1112,plain,(
% 1.25/0.52 spl0_168 <=> aElement0(sk0_13(xb,xd,xu))),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f1115,plain,(
% 1.25/0.52 ~aElement0(xb)|aElement0(sk0_13(xb,xd,xu))|~spl0_154),
% 1.25/0.52 inference(resolution,[status(thm)],[f1047,f115])).
% 1.25/0.52 fof(f1116,plain,(
% 1.25/0.52 ~spl0_3|spl0_168|~spl0_154),
% 1.25/0.52 inference(split_clause,[status(thm)],[f1115,f142,f1112,f1046])).
% 1.25/0.52 fof(f1247,plain,(
% 1.25/0.52 spl0_195 <=> ~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(xd,xR,sk0_13(X0,xd,xu))),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f1248,plain,(
% 1.25/0.52 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(xd,xR,sk0_13(X0,xd,xu))|~spl0_195)),
% 1.25/0.52 inference(component_clause,[status(thm)],[f1247])).
% 1.25/0.52 fof(f1250,plain,(
% 1.25/0.52 ![X0]: (~aElement0(xu)|~aElement0(xd)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(xd,xR,sk0_13(X0,xd,xu))|~spl0_37)),
% 1.25/0.52 inference(resolution,[status(thm)],[f109,f331])).
% 1.25/0.52 fof(f1251,plain,(
% 1.25/0.52 ~spl0_2|~spl0_28|spl0_195|~spl0_112|~spl0_37),
% 1.25/0.52 inference(split_clause,[status(thm)],[f1250,f139,f285,f1247,f842,f330])).
% 1.25/0.52 fof(f1405,plain,(
% 1.25/0.52 spl0_227 <=> sdtmndtasgtdt0(xd,xR,sk0_13(xb,xd,xu))),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f1406,plain,(
% 1.25/0.52 sdtmndtasgtdt0(xd,xR,sk0_13(xb,xd,xu))|~spl0_227),
% 1.25/0.52 inference(component_clause,[status(thm)],[f1405])).
% 1.25/0.52 fof(f1408,plain,(
% 1.25/0.52 ~aElement0(xb)|sdtmndtasgtdt0(xd,xR,sk0_13(xb,xd,xu))|~spl0_195),
% 1.25/0.52 inference(resolution,[status(thm)],[f1248,f115])).
% 1.25/0.52 fof(f1409,plain,(
% 1.25/0.52 ~spl0_3|spl0_227|~spl0_195),
% 1.25/0.52 inference(split_clause,[status(thm)],[f1408,f142,f1405,f1247])).
% 1.25/0.52 fof(f1495,plain,(
% 1.25/0.52 spl0_246 <=> xd=sk0_13(xb,xd,xu)),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f1496,plain,(
% 1.25/0.52 xd=sk0_13(xb,xd,xu)|~spl0_246),
% 1.25/0.52 inference(component_clause,[status(thm)],[f1495])).
% 1.25/0.52 fof(f1498,plain,(
% 1.25/0.52 spl0_247 <=> sdtmndtplgtdt0(xd,xR,sk0_13(xb,xd,xu))),
% 1.25/0.52 introduced(split_symbol_definition)).
% 1.25/0.52 fof(f1499,plain,(
% 1.25/0.52 sdtmndtplgtdt0(xd,xR,sk0_13(xb,xd,xu))|~spl0_247),
% 1.25/0.52 inference(component_clause,[status(thm)],[f1498])).
% 1.25/0.52 fof(f1501,plain,(
% 1.25/0.52 ~aElement0(xd)|~aRewritingSystem0(xR)|~aElement0(sk0_13(xb,xd,xu))|xd=sk0_13(xb,xd,xu)|sdtmndtplgtdt0(xd,xR,sk0_13(xb,xd,xu))|~spl0_227),
% 1.25/0.52 inference(resolution,[status(thm)],[f1406,f50])).
% 1.25/0.52 fof(f1502,plain,(
% 1.25/0.52 ~spl0_28|~spl0_1|~spl0_168|spl0_246|spl0_247|~spl0_227),
% 1.25/0.52 inference(split_clause,[status(thm)],[f1501,f285,f136,f1112,f1495,f1498,f1405])).
% 1.25/0.53 fof(f1524,plain,(
% 1.25/0.53 spl0_252 <=> ~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(X0,xd,xu))),
% 1.25/0.53 introduced(split_symbol_definition)).
% 1.25/0.53 fof(f1525,plain,(
% 1.25/0.53 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|sdtmndtasgtdt0(X0,xR,sk0_13(X0,xd,xu))|~spl0_252)),
% 1.25/0.53 inference(component_clause,[status(thm)],[f1524])).
% 1.25/0.53 fof(f1527,plain,(
% 1.25/0.53 ![X0]: (~aElement0(xu)|~aElement0(xd)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(X0,xR,sk0_13(X0,xd,xu))|~spl0_37)),
% 1.25/0.53 inference(resolution,[status(thm)],[f110,f331])).
% 1.25/0.53 fof(f1528,plain,(
% 1.25/0.53 ~spl0_2|~spl0_28|spl0_252|~spl0_112|~spl0_37),
% 1.25/0.53 inference(split_clause,[status(thm)],[f1527,f139,f285,f1524,f842,f330])).
% 1.25/0.53 fof(f1579,plain,(
% 1.25/0.53 spl0_262 <=> sdtmndtasgtdt0(xb,xR,sk0_13(xb,xd,xu))),
% 1.25/0.53 introduced(split_symbol_definition)).
% 1.25/0.53 fof(f1580,plain,(
% 1.25/0.53 sdtmndtasgtdt0(xb,xR,sk0_13(xb,xd,xu))|~spl0_262),
% 1.25/0.53 inference(component_clause,[status(thm)],[f1579])).
% 1.25/0.53 fof(f1582,plain,(
% 1.25/0.53 ~aElement0(xb)|sdtmndtasgtdt0(xb,xR,sk0_13(xb,xd,xu))|~spl0_252),
% 1.25/0.53 inference(resolution,[status(thm)],[f1525,f115])).
% 1.25/0.53 fof(f1583,plain,(
% 1.25/0.53 ~spl0_3|spl0_262|~spl0_252),
% 1.25/0.53 inference(split_clause,[status(thm)],[f1582,f142,f1579,f1524])).
% 1.25/0.53 fof(f1589,plain,(
% 1.25/0.53 sdtmndtasgtdt0(xb,xR,xd)|~spl0_246|~spl0_262),
% 1.25/0.53 inference(forward_demodulation,[status(thm)],[f1496,f1580])).
% 1.25/0.53 fof(f1590,plain,(
% 1.25/0.53 $false|~spl0_246|~spl0_262),
% 1.25/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1589,f123])).
% 1.25/0.53 fof(f1591,plain,(
% 1.25/0.53 ~spl0_246|~spl0_262),
% 1.25/0.53 inference(contradiction_clause,[status(thm)],[f1590])).
% 1.25/0.53 fof(f1609,plain,(
% 1.25/0.53 spl0_267 <=> aReductOfIn0(sk0_13(xb,xd,xu),xd,xR)),
% 1.25/0.53 introduced(split_symbol_definition)).
% 1.25/0.53 fof(f1610,plain,(
% 1.25/0.53 aReductOfIn0(sk0_13(xb,xd,xu),xd,xR)|~spl0_267),
% 1.25/0.53 inference(component_clause,[status(thm)],[f1609])).
% 1.25/0.53 fof(f1617,plain,(
% 1.25/0.53 spl0_269 <=> aReductOfIn0(sk0_0(sk0_13(xb,xd,xu),xR,xd),xd,xR)),
% 1.25/0.53 introduced(split_symbol_definition)).
% 1.25/0.53 fof(f1618,plain,(
% 1.25/0.53 aReductOfIn0(sk0_0(sk0_13(xb,xd,xu),xR,xd),xd,xR)|~spl0_269),
% 1.25/0.53 inference(component_clause,[status(thm)],[f1617])).
% 1.25/0.53 fof(f1620,plain,(
% 1.25/0.53 ~aElement0(xd)|~aRewritingSystem0(xR)|~aElement0(sk0_13(xb,xd,xu))|aReductOfIn0(sk0_13(xb,xd,xu),xd,xR)|aReductOfIn0(sk0_0(sk0_13(xb,xd,xu),xR,xd),xd,xR)|~spl0_247),
% 1.25/0.53 inference(resolution,[status(thm)],[f1499,f42])).
% 1.25/0.53 fof(f1621,plain,(
% 1.25/0.53 ~spl0_28|~spl0_1|~spl0_168|spl0_267|spl0_269|~spl0_247),
% 1.25/0.53 inference(split_clause,[status(thm)],[f1620,f285,f136,f1112,f1609,f1617,f1498])).
% 1.25/0.53 fof(f1627,plain,(
% 1.25/0.53 $false|~spl0_39|~spl0_267),
% 1.25/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1610,f343])).
% 1.25/0.53 fof(f1628,plain,(
% 1.25/0.53 ~spl0_39|~spl0_267),
% 1.25/0.53 inference(contradiction_clause,[status(thm)],[f1627])).
% 1.25/0.53 fof(f1629,plain,(
% 1.25/0.53 $false|~spl0_39|~spl0_269),
% 1.25/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1618,f343])).
% 1.25/0.53 fof(f1630,plain,(
% 1.25/0.53 ~spl0_39|~spl0_269),
% 1.25/0.53 inference(contradiction_clause,[status(thm)],[f1629])).
% 1.25/0.53 fof(f1631,plain,(
% 1.25/0.53 $false),
% 1.25/0.53 inference(sat_refutation,[status(thm)],[f148,f150,f152,f169,f224,f241,f289,f322,f327,f334,f346,f846,f868,f1012,f1050,f1116,f1251,f1409,f1502,f1528,f1583,f1591,f1621,f1628,f1630])).
% 1.25/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 1.25/0.53 % Elapsed time: 0.178777 seconds
% 1.25/0.53 % CPU time: 1.301318 seconds
% 1.25/0.53 % Total memory used: 62.803 MB
% 1.25/0.53 % Net memory used: 62.377 MB
%------------------------------------------------------------------------------