%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM019+4 : 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 : n006.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 260.40s 38.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM019+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n006.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 14:14:48 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.40 % Drodi V4.1.1
% 260.40/38.30 % Refutation found
% 260.40/38.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 260.40/38.30 % SZS output start CNFRefutation for theBenchmark
% 260.40/38.30 fof(f3,axiom,(
% 260.40/38.30 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f6,definition,(
% 260.40/38.30 (! [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) ) )) ) ) )),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f9,axiom,(
% 260.40/38.30 (! [W0,W1,W2,W3] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2)& aElement0(W3) )=> ( ( sdtmndtasgtdt0(W0,W1,W2)& sdtmndtasgtdt0(W2,W1,W3) )=> sdtmndtasgtdt0(W0,W1,W3) ) ) )),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f13,definition,(
% 260.40/38.30 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aNormalFormOfIn0(W2,W0,W1)<=> ( aElement0(W2)& sdtmndtasgtdt0(W0,W1,W2)& ~ (? [W3] : aReductOfIn0(W3,W2,W1) )) ) )) )),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f15,hypothesis,(
% 260.40/38.30 aRewritingSystem0(xR) ),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f16,hypothesis,(
% 260.40/38.30 ( (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& aReductOfIn0(W1,W0,xR)& aReductOfIn0(W2,W0,xR) )=> (? [W3] :( aElement0(W3)& ( W1 = W3| ( ( aReductOfIn0(W3,W1,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W1,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W1,xR,W3) ) )& sdtmndtasgtdt0(W1,xR,W3)& ( W2 = W3| ( ( aReductOfIn0(W3,W2,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W2,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W2,xR,W3) ) )& sdtmndtasgtdt0(W2,xR,W3) ) )))& isLocallyConfluent0(xR)& (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( aReductOfIn0(W1,W0,xR)| (? [W2] :( aElement0(W2)& aReductOfIn0(W2,W0,xR)& sdtmndtplgtdt0(W2,xR,W1) ))| sdtmndtplgtdt0(W0,xR,W1) )=> iLess0(W1,W0) ) ))& isTerminating0(xR) ) ),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f17,hypothesis,(
% 260.40/38.30 ( aElement0(xa)& aElement0(xb)& aElement0(xc) ) ),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f18,hypothesis,(
% 260.40/38.30 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2)& ( W0 = W1| aReductOfIn0(W1,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W1) ))| sdtmndtplgtdt0(W0,xR,W1)| sdtmndtasgtdt0(W0,xR,W1) )& ( W0 = W2| aReductOfIn0(W2,W0,xR)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,xR)& sdtmndtplgtdt0(W3,xR,W2) ))| sdtmndtplgtdt0(W0,xR,W2)| sdtmndtasgtdt0(W0,xR,W2) ) )=> ( iLess0(W0,xa)=> (? [W3] :( aElement0(W3)& ( W1 = W3| ( ( aReductOfIn0(W3,W1,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W1,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W1,xR,W3) ) )& sdtmndtasgtdt0(W1,xR,W3)& ( W2 = W3| ( ( aReductOfIn0(W3,W2,xR)| (? [W4] :( aElement0(W4)& aReductOfIn0(W4,W2,xR)& sdtmndtplgtdt0(W4,xR,W3) ) ))& sdtmndtplgtdt0(W2,xR,W3) ) )& sdtmndtasgtdt0(W2,xR,W3) ) )) ) )),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f20,hypothesis,(
% 260.40/38.30 ( aElement0(xu)& aReductOfIn0(xu,xa,xR)& ( xu = xb| ( ( aReductOfIn0(xb,xu,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xu,xR)& sdtmndtplgtdt0(W0,xR,xb) ) ))& sdtmndtplgtdt0(xu,xR,xb) ) )& sdtmndtasgtdt0(xu,xR,xb) ) ),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f22,hypothesis,(
% 260.40/38.30 ( aElement0(xw)& ( xu = xw| ( ( aReductOfIn0(xw,xu,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xu,xR)& sdtmndtplgtdt0(W0,xR,xw) ) ))& sdtmndtplgtdt0(xu,xR,xw) ) )& sdtmndtasgtdt0(xu,xR,xw)& ( xv = xw| ( ( aReductOfIn0(xw,xv,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xv,xR)& sdtmndtplgtdt0(W0,xR,xw) ) ))& sdtmndtplgtdt0(xv,xR,xw) ) )& sdtmndtasgtdt0(xv,xR,xw) ) ),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f23,hypothesis,(
% 260.40/38.30 ( aElement0(xd)& ( xw = xd| ( ( aReductOfIn0(xd,xw,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xw,xR)& sdtmndtplgtdt0(W0,xR,xd) ) ))& sdtmndtplgtdt0(xw,xR,xd) ) )& sdtmndtasgtdt0(xw,xR,xd)& ~ (? [W0] : aReductOfIn0(W0,xd,xR))& aNormalFormOfIn0(xd,xw,xR) ) ),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f24,conjecture,(
% 260.40/38.30 ( xb = xd| aReductOfIn0(xd,xb,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xb,xR)& sdtmndtplgtdt0(W0,xR,xd) ))| sdtmndtplgtdt0(xb,xR,xd)| sdtmndtasgtdt0(xb,xR,xd) ) ),
% 260.40/38.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 260.40/38.30 fof(f25,negated_conjecture,(
% 260.40/38.30 ~(( xb = xd| aReductOfIn0(xd,xb,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xb,xR)& sdtmndtplgtdt0(W0,xR,xd) ))| sdtmndtplgtdt0(xb,xR,xd)| sdtmndtasgtdt0(xb,xR,xd) ) )),
% 260.40/38.30 inference(negated_conjecture,[status(cth)],[f24])).
% 260.40/38.30 fof(f32,plain,(
% 260.40/38.30 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 260.40/38.30 fof(f33,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f32])).
% 260.40/38.30 fof(f38,plain,(
% 260.40/38.30 ![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))))))),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 260.40/38.30 fof(f39,plain,(
% 260.40/38.30 ![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)))))))),
% 260.40/38.30 inference(NNF_transformation,[status(thm)],[f38])).
% 260.40/38.30 fof(f40,plain,(
% 260.40/38.30 ![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)))))))),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W3,sK0_skl(W2,W1,W0))],[f39])).
% 260.40/38.30 fof(f42,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X0,X1,X2)|aReductOfIn0(X2,X0,X1)|aReductOfIn0(sK0_skl(X2,X1,X0),X0,X1))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f40])).
% 260.40/38.30 fof(f53,plain,(
% 260.40/38.30 ![W0,W1,W2,W3]: ((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtasgtdt0(W0,W1,W2)|~sdtmndtasgtdt0(W2,W1,W3))|sdtmndtasgtdt0(W0,W1,W3)))),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 260.40/38.30 fof(f54,plain,(
% 260.40/38.30 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~aElement0(X3)|~sdtmndtasgtdt0(X0,X1,X2)|~sdtmndtasgtdt0(X2,X1,X3)|sdtmndtasgtdt0(X0,X1,X3))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f53])).
% 260.40/38.30 fof(f89,plain,(
% 260.40/38.30 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (aNormalFormOfIn0(W2,W0,W1)<=>((aElement0(W2)&sdtmndtasgtdt0(W0,W1,W2))&(![W3]: ~aReductOfIn0(W3,W2,W1))))))),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 260.40/38.30 fof(f90,plain,(
% 260.40/38.30 ![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)))))))),
% 260.40/38.30 inference(NNF_transformation,[status(thm)],[f89])).
% 260.40/38.30 fof(f91,plain,(
% 260.40/38.30 ![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)))))))),
% 260.40/38.30 inference(miniscoping,[status(thm)],[f90])).
% 260.40/38.30 fof(f92,plain,(
% 260.40/38.30 ![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))))))),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(W3,sK11_skl(W2,W1,W0))],[f91])).
% 260.40/38.30 fof(f94,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aNormalFormOfIn0(X2,X0,X1)|sdtmndtasgtdt0(X0,X1,X2))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f92])).
% 260.40/38.30 fof(f96,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|aNormalFormOfIn0(X2,X0,X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,X1,X2)|aReductOfIn0(sK11_skl(X2,X1,X0),X2,X1))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f92])).
% 260.40/38.30 fof(f100,plain,(
% 260.40/38.30 aRewritingSystem0(xR)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f15])).
% 260.40/38.30 fof(f101,plain,(
% 260.40/38.30 (((![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~aReductOfIn0(W1,W0,xR))|~aReductOfIn0(W2,W0,xR))|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))&isLocallyConfluent0(xR))&(![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0)))))&isTerminating0(xR)),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 260.40/38.30 fof(f102,plain,(
% 260.40/38.30 (((![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~aReductOfIn0(W1,W0,xR))|~aReductOfIn0(W2,W0,xR)))|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))&isLocallyConfluent0(xR))&(![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0)))))&isTerminating0(xR)),
% 260.40/38.30 inference(miniscoping,[status(thm)],[f101])).
% 260.40/38.30 fof(f103,plain,(
% 260.40/38.30 (((![W1,W2]: ((![W0]: ((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|~aReductOfIn0(W1,W0,xR))|~aReductOfIn0(W2,W0,xR)))|((((aElement0(sK13_skl(W2,W1))&(W1=sK13_skl(W2,W1)|((aReductOfIn0(sK13_skl(W2,W1),W1,xR)|((aElement0(sK14_skl(W2,W1))&aReductOfIn0(sK14_skl(W2,W1),W1,xR))&sdtmndtplgtdt0(sK14_skl(W2,W1),xR,sK13_skl(W2,W1))))&sdtmndtplgtdt0(W1,xR,sK13_skl(W2,W1)))))&sdtmndtasgtdt0(W1,xR,sK13_skl(W2,W1)))&(W2=sK13_skl(W2,W1)|((aReductOfIn0(sK13_skl(W2,W1),W2,xR)|((aElement0(sK15_skl(W2,W1))&aReductOfIn0(sK15_skl(W2,W1),W2,xR))&sdtmndtplgtdt0(sK15_skl(W2,W1),xR,sK13_skl(W2,W1))))&sdtmndtplgtdt0(W2,xR,sK13_skl(W2,W1)))))&sdtmndtasgtdt0(W2,xR,sK13_skl(W2,W1)))))&isLocallyConfluent0(xR))&(![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|(((~aReductOfIn0(W1,W0,xR)&(![W2]: ((~aElement0(W2)|~aReductOfIn0(W2,W0,xR))|~sdtmndtplgtdt0(W2,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))|iLess0(W1,W0)))))&isTerminating0(xR)),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(W3,sK13_skl(W2,W1)),skolemize(W4,sK14_skl(W2,W1)),skolemize(W4,sK15_skl(W2,W1))],[f102])).
% 260.40/38.30 fof(f116,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~aReductOfIn0(X1,X0,xR)|iLess0(X1,X0))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f103])).
% 260.40/38.30 fof(f120,plain,(
% 260.40/38.30 aElement0(xa)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f17])).
% 260.40/38.30 fof(f121,plain,(
% 260.40/38.30 aElement0(xb)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f17])).
% 260.40/38.30 fof(f123,plain,(
% 260.40/38.30 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))|((((~W0=W2&~aReductOfIn0(W2,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W2))))&~sdtmndtplgtdt0(W0,xR,W2))&~sdtmndtasgtdt0(W0,xR,W2)))|(~iLess0(W0,xa)|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 260.40/38.30 fof(f124,definition,(
% 260.40/38.30 ![W0,W1]: (sP0_prd(W1,W0)<=>((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))),
% 260.40/38.30 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 260.40/38.30 fof(f125,plain,(
% 260.40/38.30 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|sP0_prd(W1,W0))|((((~W0=W2&~aReductOfIn0(W2,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W2))))&~sdtmndtplgtdt0(W0,xR,W2))&~sdtmndtasgtdt0(W0,xR,W2)))|(~iLess0(W0,xa)|(?[W3]: ((((aElement0(W3)&(W1=W3|((aReductOfIn0(W3,W1,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W1,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W1,xR,W3))))&sdtmndtasgtdt0(W1,xR,W3))&(W2=W3|((aReductOfIn0(W3,W2,xR)|(?[W4]: ((aElement0(W4)&aReductOfIn0(W4,W2,xR))&sdtmndtplgtdt0(W4,xR,W3))))&sdtmndtplgtdt0(W2,xR,W3))))&sdtmndtasgtdt0(W2,xR,W3)))))),
% 260.40/38.30 inference(formula_renaming,[status(thm)],[f123,f124])).
% 260.40/38.30 fof(f126,plain,(
% 260.40/38.30 ![W0,W1,W2]: (((((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|sP0_prd(W1,W0))|((((~W0=W2&~aReductOfIn0(W2,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W2))))&~sdtmndtplgtdt0(W0,xR,W2))&~sdtmndtasgtdt0(W0,xR,W2)))|(~iLess0(W0,xa)|((((aElement0(sK16_skl(W2,W1,W0))&(W1=sK16_skl(W2,W1,W0)|((aReductOfIn0(sK16_skl(W2,W1,W0),W1,xR)|((aElement0(sK17_skl(W2,W1,W0))&aReductOfIn0(sK17_skl(W2,W1,W0),W1,xR))&sdtmndtplgtdt0(sK17_skl(W2,W1,W0),xR,sK16_skl(W2,W1,W0))))&sdtmndtplgtdt0(W1,xR,sK16_skl(W2,W1,W0)))))&sdtmndtasgtdt0(W1,xR,sK16_skl(W2,W1,W0)))&(W2=sK16_skl(W2,W1,W0)|((aReductOfIn0(sK16_skl(W2,W1,W0),W2,xR)|((aElement0(sK18_skl(W2,W1,W0))&aReductOfIn0(sK18_skl(W2,W1,W0),W2,xR))&sdtmndtplgtdt0(sK18_skl(W2,W1,W0),xR,sK16_skl(W2,W1,W0))))&sdtmndtplgtdt0(W2,xR,sK16_skl(W2,W1,W0)))))&sdtmndtasgtdt0(W2,xR,sK16_skl(W2,W1,W0)))))),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl,sK18_skl]),skolemize(W3,sK16_skl(W2,W1,W0)),skolemize(W4,sK17_skl(W2,W1,W0)),skolemize(W4,sK18_skl(W2,W1,W0))],[f125])).
% 260.40/38.30 fof(f170,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sP0_prd(X1,X0)|~sdtmndtplgtdt0(X0,xR,X2)|~iLess0(X0,xa)|sdtmndtasgtdt0(X2,xR,sK16_skl(X2,X1,X0)))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f126])).
% 260.40/38.30 fof(f171,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sP0_prd(X1,X0)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|aElement0(sK16_skl(X2,X1,X0)))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f126])).
% 260.40/38.30 fof(f175,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sP0_prd(X1,X0)|~sdtmndtasgtdt0(X0,xR,X2)|~iLess0(X0,xa)|X1=sK16_skl(X2,X1,X0)|sdtmndtplgtdt0(X1,xR,sK16_skl(X2,X1,X0)))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f126])).
% 260.40/38.30 fof(f191,plain,(
% 260.40/38.30 ((aElement0(xu)&aReductOfIn0(xu,xa,xR))&(xu=xb|((aReductOfIn0(xb,xu,xR)|((aElement0(sK21_skl)&aReductOfIn0(sK21_skl,xu,xR))&sdtmndtplgtdt0(sK21_skl,xR,xb)))&sdtmndtplgtdt0(xu,xR,xb))))&sdtmndtasgtdt0(xu,xR,xb)),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(W0,sK21_skl)],[f20])).
% 260.40/38.30 fof(f192,plain,(
% 260.40/38.30 aElement0(xu)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f191])).
% 260.40/38.30 fof(f193,plain,(
% 260.40/38.30 aReductOfIn0(xu,xa,xR)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f191])).
% 260.40/38.30 fof(f197,plain,(
% 260.40/38.30 xu=xb|sdtmndtplgtdt0(xu,xR,xb)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f191])).
% 260.40/38.30 fof(f198,plain,(
% 260.40/38.30 sdtmndtasgtdt0(xu,xR,xb)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f191])).
% 260.40/38.30 fof(f207,plain,(
% 260.40/38.30 (((aElement0(xw)&(xu=xw|((aReductOfIn0(xw,xu,xR)|((aElement0(sK23_skl)&aReductOfIn0(sK23_skl,xu,xR))&sdtmndtplgtdt0(sK23_skl,xR,xw)))&sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&(xv=xw|((aReductOfIn0(xw,xv,xR)|((aElement0(sK24_skl)&aReductOfIn0(sK24_skl,xv,xR))&sdtmndtplgtdt0(sK24_skl,xR,xw)))&sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(W0,sK23_skl),skolemize(W0,sK24_skl)],[f22])).
% 260.40/38.30 fof(f208,plain,(
% 260.40/38.30 aElement0(xw)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f207])).
% 260.40/38.30 fof(f213,plain,(
% 260.40/38.30 sdtmndtasgtdt0(xu,xR,xw)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f207])).
% 260.40/38.30 fof(f219,plain,(
% 260.40/38.30 (((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|(?[W0]: ((aElement0(W0)&aReductOfIn0(W0,xw,xR))&sdtmndtplgtdt0(W0,xR,xd))))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&(![W0]: ~aReductOfIn0(W0,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 260.40/38.30 fof(f220,plain,(
% 260.40/38.30 (((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|((aElement0(sK25_skl)&aReductOfIn0(sK25_skl,xw,xR))&sdtmndtplgtdt0(sK25_skl,xR,xd)))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&(![W0]: ~aReductOfIn0(W0,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(W0,sK25_skl)],[f219])).
% 260.40/38.30 fof(f221,plain,(
% 260.40/38.30 aElement0(xd)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f220])).
% 260.40/38.30 fof(f226,plain,(
% 260.40/38.30 sdtmndtasgtdt0(xw,xR,xd)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f220])).
% 260.40/38.30 fof(f227,plain,(
% 260.40/38.30 ![X0]: (~aReductOfIn0(X0,xd,xR))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f220])).
% 260.40/38.30 fof(f229,plain,(
% 260.40/38.30 ((((~xb=xd&~aReductOfIn0(xd,xb,xR))&(![W0]: ((~aElement0(W0)|~aReductOfIn0(W0,xb,xR))|~sdtmndtplgtdt0(W0,xR,xd))))&~sdtmndtplgtdt0(xb,xR,xd))&~sdtmndtasgtdt0(xb,xR,xd))),
% 260.40/38.30 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 260.40/38.30 fof(f234,plain,(
% 260.40/38.30 ~sdtmndtasgtdt0(xb,xR,xd)),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f229])).
% 260.40/38.30 fof(f235,plain,(
% 260.40/38.30 ![W0,W1]: ((~sP0_prd(W1,W0)|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1)))&(sP0_prd(W1,W0)|((((W0=W1|aReductOfIn0(W1,W0,xR))|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W1))))|sdtmndtplgtdt0(W0,xR,W1))|sdtmndtasgtdt0(W0,xR,W1))))),
% 260.40/38.30 inference(NNF_transformation,[status(thm)],[f124])).
% 260.40/38.30 fof(f236,plain,(
% 260.40/38.30 (![W0,W1]: (~sP0_prd(W1,W0)|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1))))&(![W0,W1]: (sP0_prd(W1,W0)|((((W0=W1|aReductOfIn0(W1,W0,xR))|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,xR))&sdtmndtplgtdt0(W3,xR,W1))))|sdtmndtplgtdt0(W0,xR,W1))|sdtmndtasgtdt0(W0,xR,W1))))),
% 260.40/38.30 inference(miniscoping,[status(thm)],[f235])).
% 260.40/38.30 fof(f237,plain,(
% 260.40/38.30 (![W0,W1]: (~sP0_prd(W1,W0)|((((~W0=W1&~aReductOfIn0(W1,W0,xR))&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,xR))|~sdtmndtplgtdt0(W3,xR,W1))))&~sdtmndtplgtdt0(W0,xR,W1))&~sdtmndtasgtdt0(W0,xR,W1))))&(![W0,W1]: (sP0_prd(W1,W0)|((((W0=W1|aReductOfIn0(W1,W0,xR))|((aElement0(sK26_skl(W1,W0))&aReductOfIn0(sK26_skl(W1,W0),W0,xR))&sdtmndtplgtdt0(sK26_skl(W1,W0),xR,W1)))|sdtmndtplgtdt0(W0,xR,W1))|sdtmndtasgtdt0(W0,xR,W1))))),
% 260.40/38.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(W3,sK26_skl(W1,W0))],[f236])).
% 260.40/38.30 fof(f242,plain,(
% 260.40/38.30 ![X0,X1]: (~sP0_prd(X0,X1)|~sdtmndtasgtdt0(X1,xR,X0))),
% 260.40/38.30 inference(cnf_transformation,[status(thm)],[f237])).
% 260.40/38.30 fof(f570,plain,(
% 260.40/38.30 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X1,xR,X2)|sdtmndtasgtdt0(X0,xR,X2))),
% 260.40/38.30 inference(resolution,[status(thm)],[f100,f54])).
% 260.40/38.30 fof(f571,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aNormalFormOfIn0(X1,X0,xR)|sdtmndtasgtdt0(X0,xR,X1))),
% 260.40/38.30 inference(resolution,[status(thm)],[f100,f94])).
% 260.40/38.30 fof(f575,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|aNormalFormOfIn0(X1,X0,xR)|~aElement0(X1)|~sdtmndtasgtdt0(X0,xR,X1)|aReductOfIn0(sK11_skl(X1,xR,X0),X1,xR))),
% 260.40/38.30 inference(resolution,[status(thm)],[f100,f96])).
% 260.40/38.30 fof(f583,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtmndtplgtdt0(X0,xR,X1)|aReductOfIn0(X1,X0,xR)|aReductOfIn0(sK0_skl(X1,xR,X0),X0,xR))),
% 260.40/38.30 inference(resolution,[status(thm)],[f100,f42])).
% 260.40/38.30 fof(f590,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|aElement0(X1))),
% 260.40/38.30 inference(resolution,[status(thm)],[f100,f33])).
% 260.40/38.30 fof(f757,plain,(
% 260.40/38.30 ![X0]: (~aElement0(xd)|~aElement0(X0)|~sdtmndtplgtdt0(xd,xR,X0)|aReductOfIn0(X0,xd,xR))),
% 260.40/38.30 inference(resolution,[status(thm)],[f583,f227])).
% 260.40/38.30 fof(f764,plain,(
% 260.40/38.30 ![X0]: (~aElement0(X0)|~sdtmndtplgtdt0(xd,xR,X0)|aReductOfIn0(X0,xd,xR))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f757,f221])).
% 260.40/38.30 fof(f825,plain,(
% 260.40/38.30 ![X0]: (~aElement0(X0)|aNormalFormOfIn0(xd,X0,xR)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,xd))),
% 260.40/38.30 inference(resolution,[status(thm)],[f575,f227])).
% 260.40/38.30 fof(f832,plain,(
% 260.40/38.30 ![X0]: (~aElement0(X0)|aNormalFormOfIn0(xd,X0,xR)|~sdtmndtasgtdt0(X0,xR,xd))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f825,f221])).
% 260.40/38.30 fof(f848,plain,(
% 260.40/38.30 ![X0]: (~aElement0(X0)|~sdtmndtplgtdt0(xd,xR,X0))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f764,f227])).
% 260.40/38.30 fof(f867,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aReductOfIn0(X1,X0,xR)|iLess0(X1,X0))),
% 260.40/38.30 inference(backward_subsumption_resolution,[status(thm)],[f116,f590])).
% 260.40/38.30 fof(f1558,plain,(
% 260.40/38.30 ![X0]: (~aReductOfIn0(X0,xa,xR)|iLess0(X0,xa))),
% 260.40/38.30 inference(resolution,[status(thm)],[f867,f120])).
% 260.40/38.30 fof(f1600,plain,(
% 260.40/38.30 iLess0(xu,xa)),
% 260.40/38.30 inference(resolution,[status(thm)],[f1558,f193])).
% 260.40/38.30 fof(f3165,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(xu)|~aElement0(X0)|~aElement0(X1)|sP0_prd(X0,xu)|~sdtmndtasgtdt0(xu,xR,X1)|X0=sK16_skl(X1,X0,xu)|sdtmndtplgtdt0(X0,xR,sK16_skl(X1,X0,xu)))),
% 260.40/38.30 inference(resolution,[status(thm)],[f1600,f175])).
% 260.40/38.30 fof(f3166,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(xu)|~aElement0(X0)|~aElement0(X1)|sP0_prd(X0,xu)|~sdtmndtplgtdt0(xu,xR,X1)|sdtmndtasgtdt0(X1,xR,sK16_skl(X1,X0,xu)))),
% 260.40/38.30 inference(resolution,[status(thm)],[f1600,f170])).
% 260.40/38.30 fof(f3168,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(xu)|~aElement0(X0)|~aElement0(X1)|sP0_prd(X0,xu)|~sdtmndtasgtdt0(xu,xR,X1)|aElement0(sK16_skl(X1,X0,xu)))),
% 260.40/38.30 inference(resolution,[status(thm)],[f1600,f171])).
% 260.40/38.30 fof(f3214,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sP0_prd(X0,xu)|~sdtmndtasgtdt0(xu,xR,X1)|X0=sK16_skl(X1,X0,xu)|sdtmndtplgtdt0(X0,xR,sK16_skl(X1,X0,xu)))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f3165,f192])).
% 260.40/38.30 fof(f3215,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sP0_prd(X0,xu)|~sdtmndtplgtdt0(xu,xR,X1)|sdtmndtasgtdt0(X1,xR,sK16_skl(X1,X0,xu)))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f3166,f192])).
% 260.40/38.30 fof(f3217,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|sP0_prd(X0,xu)|~sdtmndtasgtdt0(xu,xR,X1)|aElement0(sK16_skl(X1,X0,xu)))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f3168,f192])).
% 260.40/38.30 fof(f4426,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X1,xR,xd)|~aElement0(X0)|aNormalFormOfIn0(xd,X0,xR))),
% 260.40/38.30 inference(resolution,[status(thm)],[f570,f832])).
% 260.40/38.30 fof(f4469,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~aElement0(xd)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X1,xR,xd)|aNormalFormOfIn0(xd,X0,xR))),
% 260.40/38.30 inference(duplicate_literals_removal,[status(thm)],[f4426])).
% 260.40/38.30 fof(f4470,plain,(
% 260.40/38.30 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtmndtasgtdt0(X0,xR,X1)|~sdtmndtasgtdt0(X1,xR,xd)|aNormalFormOfIn0(xd,X0,xR))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f4469,f221])).
% 260.40/38.30 fof(f7215,plain,(
% 260.40/38.30 ![X0]: (~aElement0(X0)|~aElement0(xw)|~sdtmndtasgtdt0(X0,xR,xw)|aNormalFormOfIn0(xd,X0,xR))),
% 260.40/38.30 inference(resolution,[status(thm)],[f4470,f226])).
% 260.40/38.30 fof(f7224,plain,(
% 260.40/38.30 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xw)|aNormalFormOfIn0(xd,X0,xR))),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f7215,f208])).
% 260.40/38.30 fof(f9357,plain,(
% 260.40/38.30 ~aElement0(xu)|aNormalFormOfIn0(xd,xu,xR)),
% 260.40/38.30 inference(resolution,[status(thm)],[f7224,f213])).
% 260.40/38.30 fof(f9362,plain,(
% 260.40/38.30 aNormalFormOfIn0(xd,xu,xR)),
% 260.40/38.30 inference(forward_subsumption_resolution,[status(thm)],[f9357,f192])).
% 260.40/38.30 fof(f9372,plain,(
% 260.40/38.30 ~aElement0(xu)|sdtmndtasgtdt0(xu,xR,xd)),
% 261.18/38.38 inference(resolution,[status(thm)],[f9362,f571])).
% 261.18/38.38 fof(f9373,plain,(
% 261.18/38.38 sdtmndtasgtdt0(xu,xR,xd)),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f9372,f192])).
% 261.18/38.38 fof(f25644,plain,(
% 261.18/38.38 ![X0]: (~aElement0(X0)|~aElement0(xb)|sP0_prd(X0,xu)|X0=sK16_skl(xb,X0,xu)|sdtmndtplgtdt0(X0,xR,sK16_skl(xb,X0,xu)))),
% 261.18/38.38 inference(resolution,[status(thm)],[f3214,f198])).
% 261.18/38.38 fof(f25675,plain,(
% 261.18/38.38 ![X0]: (~aElement0(X0)|sP0_prd(X0,xu)|X0=sK16_skl(xb,X0,xu)|sdtmndtplgtdt0(X0,xR,sK16_skl(xb,X0,xu)))),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f25644,f121])).
% 261.18/38.38 fof(f25708,plain,(
% 261.18/38.38 ![X0]: (~aElement0(X0)|~aElement0(xb)|sP0_prd(X0,xu)|sdtmndtasgtdt0(xb,xR,sK16_skl(xb,X0,xu))|xu=xb)),
% 261.18/38.38 inference(resolution,[status(thm)],[f3215,f197])).
% 261.18/38.38 fof(f25724,plain,(
% 261.18/38.38 ![X0]: (~aElement0(X0)|sP0_prd(X0,xu)|sdtmndtasgtdt0(xb,xR,sK16_skl(xb,X0,xu))|xu=xb)),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f25708,f121])).
% 261.18/38.38 fof(f26320,plain,(
% 261.18/38.38 ~aElement0(xd)|sP0_prd(xd,xu)|xd=sK16_skl(xb,xd,xu)|~aElement0(sK16_skl(xb,xd,xu))),
% 261.18/38.38 inference(resolution,[status(thm)],[f25675,f848])).
% 261.18/38.38 fof(f26366,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|xd=sK16_skl(xb,xd,xu)|~aElement0(sK16_skl(xb,xd,xu))),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f26320,f221])).
% 261.18/38.38 fof(f26384,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|xd=sK16_skl(xb,xd,xu)|~aElement0(xd)|~aElement0(xb)|sP0_prd(xd,xu)|~sdtmndtasgtdt0(xu,xR,xb)),
% 261.18/38.38 inference(resolution,[status(thm)],[f26366,f3217])).
% 261.18/38.38 fof(f26387,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|xd=sK16_skl(xb,xd,xu)|~aElement0(xd)|~aElement0(xb)|~sdtmndtasgtdt0(xu,xR,xb)),
% 261.18/38.38 inference(duplicate_literals_removal,[status(thm)],[f26384])).
% 261.18/38.38 fof(f26388,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|xd=sK16_skl(xb,xd,xu)|~aElement0(xb)|~sdtmndtasgtdt0(xu,xR,xb)),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f26387,f221])).
% 261.18/38.38 fof(f26393,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|xd=sK16_skl(xb,xd,xu)|~sdtmndtasgtdt0(xu,xR,xb)),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f26388,f121])).
% 261.18/38.38 fof(f26394,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|xd=sK16_skl(xb,xd,xu)),
% 261.18/38.38 inference(resolution,[status(thm)],[f26393,f198])).
% 261.18/38.38 fof(f26400,plain,(
% 261.18/38.38 xd=sK16_skl(xb,xd,xu)|~sdtmndtasgtdt0(xu,xR,xd)),
% 261.18/38.38 inference(resolution,[status(thm)],[f26394,f242])).
% 261.18/38.38 fof(f26402,plain,(
% 261.18/38.38 xd=sK16_skl(xb,xd,xu)),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f26400,f9373])).
% 261.18/38.38 fof(f26665,plain,(
% 261.18/38.38 ~aElement0(xd)|sP0_prd(xd,xu)|sdtmndtasgtdt0(xb,xR,xd)|xu=xb),
% 261.18/38.38 inference(paramodulation,[status(thm)],[f26402,f25724])).
% 261.18/38.38 fof(f26677,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|sdtmndtasgtdt0(xb,xR,xd)|xu=xb),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f26665,f221])).
% 261.18/38.38 fof(f27122,plain,(
% 261.18/38.38 sP0_prd(xd,xu)|xu=xb),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f26677,f234])).
% 261.18/38.38 fof(f27126,plain,(
% 261.18/38.38 xu=xb|~sdtmndtasgtdt0(xu,xR,xd)),
% 261.18/38.38 inference(resolution,[status(thm)],[f27122,f242])).
% 261.18/38.38 fof(f27128,plain,(
% 261.18/38.38 xu=xb),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f27126,f9373])).
% 261.18/38.38 fof(f28375,plain,(
% 261.18/38.38 sdtmndtasgtdt0(xb,xR,xd)),
% 261.18/38.38 inference(backward_demodulation,[status(thm)],[f27128,f9373])).
% 261.18/38.38 fof(f28865,plain,(
% 261.18/38.38 $false),
% 261.18/38.38 inference(forward_subsumption_resolution,[status(thm)],[f28375,f234])).
% 261.18/38.38 % SZS output end CNFRefutation for theBenchmark.p
% 8.38/38.41 % Elapsed time: 33.009352 seconds
% 8.38/38.41 % CPU time: 261.893311 seconds
% 8.38/38.41 % Total memory used: 747.378 MB
% 8.38/38.41 % Net memory used: 653.867 MB
%------------------------------------------------------------------------------