%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM020+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:10:43 PM UTC 2026
% Result : Theorem 2.22s 1.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM020+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n013.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 14:14:21 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 2.22/1.05 % Refutation found
% 2.22/1.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.22/1.05 % SZS output start CNFRefutation for theBenchmark
% 2.22/1.05 fof(f3,axiom,(
% 2.22/1.05 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f6,definition,(
% 2.22/1.05 (! [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) ) )) ) ) )),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f9,axiom,(
% 2.22/1.05 (! [W0,W1,W2,W3] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2)& aElement0(W3) )=> ( ( sdtmndtasgtdt0(W0,W1,W2)& sdtmndtasgtdt0(W2,W1,W3) )=> sdtmndtasgtdt0(W0,W1,W3) ) ) )),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f12,definition,(
% 2.22/1.05 (! [W0] :( aRewritingSystem0(W0)=> ( isTerminating0(W0)<=> (! [W1,W2] :( ( aElement0(W1)& aElement0(W2) )=> ( sdtmndtplgtdt0(W1,W0,W2)=> iLess0(W2,W1) ) ) )) ) )),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f13,definition,(
% 2.22/1.05 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aNormalFormOfIn0(W2,W0,W1)<=> ( aElement0(W2)& sdtmndtasgtdt0(W0,W1,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,W1) )) ) )) )),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f15,hypothesis,(
% 2.22/1.05 aRewritingSystem0(xR) ),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f16,hypothesis,(
% 2.22/1.05 ( isLocallyConfluent0(xR)& isTerminating0(xR) ) ),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f17,hypothesis,(
% 2.22/1.05 ( aElement0(xa)& aElement0(xb)& aElement0(xc) ) ),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f18,hypothesis,(
% 2.22/1.05 (! [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) ) )) ) )),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f20,hypothesis,(
% 2.22/1.05 ( aElement0(xu)& aReductOfIn0(xu,xa,xR)& sdtmndtasgtdt0(xu,xR,xb) ) ),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f22,hypothesis,(
% 2.22/1.05 ( aElement0(xw)& sdtmndtasgtdt0(xu,xR,xw)& sdtmndtasgtdt0(xv,xR,xw) ) ),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f23,hypothesis,(
% 2.22/1.05 aNormalFormOfIn0(xd,xw,xR) ),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f24,conjecture,(
% 2.22/1.05 (? [W0] :( aElement0(W0)& sdtmndtasgtdt0(xb,xR,W0)& sdtmndtasgtdt0(xd,xR,W0) ) )),
% 2.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.22/1.05 fof(f25,negated_conjecture,(
% 2.22/1.05 ~((? [W0] :( aElement0(W0)& sdtmndtasgtdt0(xb,xR,W0)& sdtmndtasgtdt0(xd,xR,W0) ) ))),
% 2.22/1.05 inference(negated_conjecture,[status(cth)],[f24])).
% 2.22/1.05 fof(f32,plain,(
% 2.22/1.05 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 2.22/1.05 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 2.22/1.05 fof(f33,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f32])).
% 2.22/1.05 fof(f38,plain,(
% 2.22/1.05 ![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))))))),
% 2.22/1.05 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 2.22/1.05 fof(f39,plain,(
% 2.22/1.05 ![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)))))))),
% 2.22/1.05 inference(NNF_transformation,[status(thm)],[f38])).
% 2.22/1.05 fof(f40,plain,(
% 2.22/1.05 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|((aElement0(sK0_skl(W2,W1,W0))&aReductOfIn0(sK0_skl(W2,W1,W0),W0,W1))&sdtmndtplgtdt0(sK0_skl(W2,W1,W0),W1,W2))))&(sdtmndtplgtdt0(W0,W1,W2)|(~aReductOfIn0(W2,W0,W1)&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2)))))))),
% 2.22/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W3,sK0_skl(W2,W1,W0))],[f39])).
% 2.22/1.05 fof(f44,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f40])).
% 2.22/1.05 fof(f53,plain,(
% 2.22/1.05 ![W0,W1,W2,W3]: ((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtasgtdt0(W0,W1,W2)|~sdtmndtasgtdt0(W2,W1,W3))|sdtmndtasgtdt0(W0,W1,W3)))),
% 2.22/1.05 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 2.22/1.05 fof(f54,plain,(
% 2.22/1.05 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~aElement0(X3)|~sdtmndtasgtdt0(X0,X1,X2)|~sdtmndtasgtdt0(X2,X1,X3)|sdtmndtasgtdt0(X0,X1,X3))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f53])).
% 2.22/1.05 fof(f81,plain,(
% 2.22/1.05 ![W0]: (~aRewritingSystem0(W0)|(isTerminating0(W0)<=>(![W1,W2]: ((~aElement0(W1)|~aElement0(W2))|(~sdtmndtplgtdt0(W1,W0,W2)|iLess0(W2,W1))))))),
% 2.22/1.05 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 2.22/1.05 fof(f82,plain,(
% 2.22/1.05 ![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)))))))),
% 2.22/1.05 inference(NNF_transformation,[status(thm)],[f81])).
% 2.22/1.05 fof(f83,plain,(
% 2.22/1.05 ![W0]: (~aRewritingSystem0(W0)|((~isTerminating0(W0)|(![W1,W2]: ((~aElement0(W1)|~aElement0(W2))|(~sdtmndtplgtdt0(W1,W0,W2)|iLess0(W2,W1)))))&(isTerminating0(W0)|((aElement0(sK9_skl(W0))&aElement0(sK10_skl(W0)))&(sdtmndtplgtdt0(sK9_skl(W0),W0,sK10_skl(W0))&~iLess0(sK10_skl(W0),sK9_skl(W0)))))))),
% 2.22/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(W1,sK9_skl(W0)),skolemize(W2,sK10_skl(W0))],[f82])).
% 2.22/1.05 fof(f84,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aRewritingSystem0(X0)|~isTerminating0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X1,X0,X2)|iLess0(X2,X1))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f83])).
% 2.22/1.05 fof(f89,plain,(
% 2.22/1.05 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (aNormalFormOfIn0(W2,W0,W1)<=>((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))))),
% 2.22/1.05 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 2.22/1.05 fof(f90,plain,(
% 2.22/1.05 ![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)))))))),
% 2.22/1.05 inference(NNF_transformation,[status(thm)],[f89])).
% 2.22/1.05 fof(f91,plain,(
% 2.22/1.05 ![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)))))))),
% 2.22/1.05 inference(miniscoping,[status(thm)],[f90])).
% 2.22/1.05 fof(f92,plain,(
% 2.22/1.05 ![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(sK11_skl(W2,W1,W0),W2,W1))))))),
% 2.22/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(W3,sK11_skl(W2,W1,W0))],[f91])).
% 2.22/1.05 fof(f93,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|aElement0(X2))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f92])).
% 2.22/1.05 fof(f94,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|sdtmndtasgtdt0(X0,X1,X2))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f92])).
% 2.22/1.05 fof(f100,plain,(
% 2.22/1.05 aRewritingSystem0(xR)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f15])).
% 2.22/1.05 fof(f102,plain,(
% 2.22/1.05 isTerminating0(xR)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f16])).
% 2.22/1.05 fof(f103,plain,(
% 2.22/1.05 aElement0(xa)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f17])).
% 2.22/1.05 fof(f104,plain,(
% 2.22/1.05 aElement0(xb)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f17])).
% 2.22/1.05 fof(f106,plain,(
% 2.22/1.05 ![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)))))),
% 2.22/1.05 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 2.22/1.05 fof(f107,plain,(
% 2.22/1.05 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~sdtmndtasgtdt0(W0,xR,W1))|~sdtmndtasgtdt0(W0,xR,W2))|(~iLess0(W0,xa)|((aElement0(sK13_skl(W2,W1,W0))&sdtmndtasgtdt0(W1,xR,sK13_skl(W2,W1,W0)))&sdtmndtasgtdt0(W2,xR,sK13_skl(W2,W1,W0)))))),
% 2.22/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(W3,sK13_skl(W2,W1,W0))],[f106])).
% 2.22/1.05 fof(f108,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|aElement0(sK13_skl(X2,X1,X0)))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f107])).
% 2.22/1.05 fof(f109,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|sdtmndtasgtdt0(X1,xR,sK13_skl(X2,X1,X0)))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f107])).
% 2.22/1.05 fof(f110,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|sdtmndtasgtdt0(X2,xR,sK13_skl(X2,X1,X0)))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f107])).
% 2.22/1.05 fof(f113,plain,(
% 2.22/1.05 aElement0(xu)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f20])).
% 2.22/1.05 fof(f114,plain,(
% 2.22/1.05 aReductOfIn0(xu,xa,xR)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f20])).
% 2.22/1.05 fof(f115,plain,(
% 2.22/1.05 sdtmndtasgtdt0(xu,xR,xb)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f20])).
% 2.22/1.05 fof(f119,plain,(
% 2.22/1.05 aElement0(xw)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f22])).
% 2.22/1.05 fof(f120,plain,(
% 2.22/1.05 sdtmndtasgtdt0(xu,xR,xw)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f22])).
% 2.22/1.05 fof(f122,plain,(
% 2.22/1.05 aNormalFormOfIn0(xd,xw,xR)),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f23])).
% 2.22/1.05 fof(f123,plain,(
% 2.22/1.05 (![W0]: ((~aElement0(W0)|~sdtmndtasgtdt0(xb,xR,W0))|~sdtmndtasgtdt0(xd,xR,W0)))),
% 2.22/1.05 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 2.22/1.05 fof(f124,plain,(
% 2.22/1.05 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xb,xR,X0)|~sdtmndtasgtdt0(xd,xR,X0))),
% 2.22/1.05 inference(cnf_transformation,[status(thm)],[f123])).
% 2.22/1.05 fof(f211,plain,(
% 2.22/1.05 ~aElement0(xw)|~aRewritingSystem0(xR)|aElement0(xd)),
% 2.22/1.05 inference(resolution,[status(thm)],[f93,f122])).
% 2.22/1.05 fof(f212,plain,(
% 2.22/1.05 ~aRewritingSystem0(xR)|aElement0(xd)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f211,f119])).
% 2.22/1.05 fof(f213,plain,(
% 2.22/1.05 aElement0(xd)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f212,f100])).
% 2.22/1.05 fof(f216,plain,(
% 2.22/1.05 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|sdtmndtplgtdt0(X0,X1,X2)|~aReductOfIn0(X2,X0,X1))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f44,f33])).
% 2.22/1.05 fof(f219,plain,(
% 2.22/1.05 ~aElement0(xa)|~aRewritingSystem0(xR)|sdtmndtplgtdt0(xa,xR,xu)),
% 2.22/1.05 inference(resolution,[status(thm)],[f216,f114])).
% 2.22/1.05 fof(f222,plain,(
% 2.22/1.05 ~aRewritingSystem0(xR)|sdtmndtplgtdt0(xa,xR,xu)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f219,f103])).
% 2.22/1.05 fof(f281,plain,(
% 2.22/1.05 sdtmndtplgtdt0(xa,xR,xu)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f222,f100])).
% 2.22/1.05 fof(f292,plain,(
% 2.22/1.05 ~aElement0(xw)|~aRewritingSystem0(xR)|sdtmndtasgtdt0(xw,xR,xd)),
% 2.22/1.05 inference(resolution,[status(thm)],[f94,f122])).
% 2.22/1.05 fof(f293,plain,(
% 2.22/1.05 ~aRewritingSystem0(xR)|sdtmndtasgtdt0(xw,xR,xd)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f292,f119])).
% 2.22/1.05 fof(f294,plain,(
% 2.22/1.05 sdtmndtasgtdt0(xw,xR,xd)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f293,f100])).
% 2.22/1.05 fof(f295,plain,(
% 2.22/1.05 ![X0]: (~aElement0(X0)|~aRewritingSystem0(xR)|~aElement0(xw)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd))),
% 2.22/1.05 inference(resolution,[status(thm)],[f294,f54])).
% 2.22/1.05 fof(f296,plain,(
% 2.22/1.05 ![X0]: (~aElement0(X0)|~aElement0(xw)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f295,f100])).
% 2.22/1.05 fof(f1001,plain,(
% 2.22/1.05 ~aRewritingSystem0(xR)|~isTerminating0(xR)|~aElement0(xa)|~aElement0(xu)|iLess0(xu,xa)),
% 2.22/1.05 inference(resolution,[status(thm)],[f84,f281])).
% 2.22/1.05 fof(f1014,plain,(
% 2.22/1.05 ~isTerminating0(xR)|~aElement0(xa)|~aElement0(xu)|iLess0(xu,xa)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1001,f100])).
% 2.22/1.05 fof(f1103,plain,(
% 2.22/1.05 ~aElement0(xa)|~aElement0(xu)|iLess0(xu,xa)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1014,f102])).
% 2.22/1.05 fof(f1104,plain,(
% 2.22/1.05 ~aElement0(xu)|iLess0(xu,xa)),
% 2.22/1.05 inference(resolution,[status(thm)],[f1103,f103])).
% 2.22/1.05 fof(f1105,plain,(
% 2.22/1.05 iLess0(xu,xa)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1104,f113])).
% 2.22/1.05 fof(f1229,plain,(
% 2.22/1.05 ![X0]: (~aElement0(xu)|~aElement0(xb)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|aElement0(sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(resolution,[status(thm)],[f108,f115])).
% 2.22/1.05 fof(f1284,plain,(
% 2.22/1.05 ![X0]: (~aElement0(xb)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|aElement0(sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1229,f113])).
% 2.22/1.05 fof(f1321,plain,(
% 2.22/1.05 ![X0]: (~aElement0(xu)|~aElement0(xb)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(xb,xR,sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(resolution,[status(thm)],[f109,f115])).
% 2.22/1.05 fof(f1376,plain,(
% 2.22/1.05 ![X0]: (~aElement0(xb)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(xb,xR,sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1321,f113])).
% 2.22/1.05 fof(f1413,plain,(
% 2.22/1.05 ![X0]: (~aElement0(xu)|~aElement0(xb)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(X0,xR,sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(resolution,[status(thm)],[f110,f115])).
% 2.22/1.05 fof(f1468,plain,(
% 2.22/1.05 ![X0]: (~aElement0(xb)|~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(X0,xR,sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1413,f113])).
% 2.22/1.05 fof(f2139,plain,(
% 2.22/1.05 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|aElement0(sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1284,f104])).
% 2.22/1.05 fof(f2154,plain,(
% 2.22/1.05 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(xb,xR,sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1376,f104])).
% 2.22/1.05 fof(f2327,plain,(
% 2.22/1.05 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(xu,xR,X0)|~iLess0(xu,xa)|sdtmndtasgtdt0(X0,xR,sK13_skl(X0,xb,xu)))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f1468,f104])).
% 2.22/1.05 fof(f2630,plain,(
% 2.22/1.05 ![X0]: (~aElement0(X0)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,xw)|sdtmndtasgtdt0(X0,xR,xd))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f296,f119])).
% 2.22/1.05 fof(f2634,plain,(
% 2.22/1.05 ~aElement0(xu)|~aElement0(xd)|sdtmndtasgtdt0(xu,xR,xd)),
% 2.22/1.05 inference(resolution,[status(thm)],[f2630,f120])).
% 2.22/1.05 fof(f2637,plain,(
% 2.22/1.05 ~aElement0(xd)|sdtmndtasgtdt0(xu,xR,xd)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2634,f113])).
% 2.22/1.05 fof(f2694,plain,(
% 2.22/1.05 sdtmndtasgtdt0(xu,xR,xd)),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2637,f213])).
% 2.22/1.05 fof(f2696,plain,(
% 2.22/1.05 ~aElement0(xd)|~iLess0(xu,xa)|sdtmndtasgtdt0(xd,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.05 inference(resolution,[status(thm)],[f2694,f2327])).
% 2.22/1.05 fof(f2697,plain,(
% 2.22/1.05 ~aElement0(xd)|~iLess0(xu,xa)|sdtmndtasgtdt0(xb,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.05 inference(resolution,[status(thm)],[f2694,f2154])).
% 2.22/1.05 fof(f2698,plain,(
% 2.22/1.05 ~aElement0(xd)|~iLess0(xu,xa)|aElement0(sK13_skl(xd,xb,xu))),
% 2.22/1.05 inference(resolution,[status(thm)],[f2694,f2139])).
% 2.22/1.05 fof(f2715,plain,(
% 2.22/1.05 ~iLess0(xu,xa)|sdtmndtasgtdt0(xd,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2696,f213])).
% 2.22/1.05 fof(f2716,plain,(
% 2.22/1.05 ~iLess0(xu,xa)|sdtmndtasgtdt0(xb,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2697,f213])).
% 2.22/1.05 fof(f2717,plain,(
% 2.22/1.05 ~iLess0(xu,xa)|aElement0(sK13_skl(xd,xb,xu))),
% 2.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f2698,f213])).
% 2.22/1.05 fof(f2742,plain,(
% 2.22/1.05 aElement0(sK13_skl(xd,xb,xu))),
% 2.22/1.06 inference(forward_subsumption_resolution,[status(thm)],[f2717,f1105])).
% 2.22/1.06 fof(f2878,plain,(
% 2.22/1.06 sdtmndtasgtdt0(xd,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.06 inference(forward_subsumption_resolution,[status(thm)],[f2715,f1105])).
% 2.22/1.06 fof(f2897,plain,(
% 2.22/1.06 sdtmndtasgtdt0(xb,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.06 inference(forward_subsumption_resolution,[status(thm)],[f2716,f1105])).
% 2.22/1.06 fof(f2898,plain,(
% 2.22/1.06 ~aElement0(sK13_skl(xd,xb,xu))|~sdtmndtasgtdt0(xd,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.06 inference(resolution,[status(thm)],[f2897,f124])).
% 2.22/1.06 fof(f2908,plain,(
% 2.22/1.06 ~sdtmndtasgtdt0(xd,xR,sK13_skl(xd,xb,xu))),
% 2.22/1.06 inference(forward_subsumption_resolution,[status(thm)],[f2898,f2742])).
% 2.22/1.06 fof(f2970,plain,(
% 2.22/1.06 $false),
% 2.22/1.06 inference(forward_subsumption_resolution,[status(thm)],[f2908,f2878])).
% 2.22/1.06 % SZS output end CNFRefutation for theBenchmark.p
% 2.22/1.08 % Elapsed time: 0.649033 seconds
% 2.22/1.08 % CPU time: 4.708318 seconds
% 2.22/1.08 % Total memory used: 113.052 MB
% 2.22/1.08 % Net memory used: 109.083 MB
%------------------------------------------------------------------------------