%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV562+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:33:44 PM UTC 2026
% Result : Theorem 166.57s 21.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV562+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n011.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 07:26:40 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 166.57/21.63 % Refutation found
% 166.57/21.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 166.57/21.63 % SZS output start CNFRefutation for theBenchmark
% 166.57/21.63 fof(f1,axiom,(
% 166.57/21.63 (! [X,Y] :( subq(X,Y)<=> (! [Z] :( mem(Z,X)=> mem(Z,Y) ) )) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f2,axiom,(
% 166.57/21.63 (! [X,Y] :( subq(X,Y)=> ( subq(Y,X)=> X = Y ) ) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f3,axiom,(
% 166.57/21.63 (! [X,Y] :( disj(X,Y)<=> ~ (? [Z] :( mem(Z,X)& mem(Z,Y) ) )) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f4,axiom,(
% 166.57/21.63 (! [X] : ~ mem(X,e) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f5,axiom,(
% 166.57/21.63 (! [X,Y] :( mem(X,s(Y))<=> X = Y ) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f6,axiom,(
% 166.57/21.63 (! [X,Y,Z] :( mem(X,u(Y,Z))<=> ( mem(X,Y)| mem(X,Z) ) ) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f7,axiom,(
% 166.57/21.63 (! [X,Y,Z] :( mem(X,m(Y,Z))<=> ( mem(X,Y)& ~ mem(X,Z) ) ) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f8,axiom,(
% 166.57/21.63 (! [X,Y] : a(X,Y) = u(X,s(Y)) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f9,axiom,(
% 166.57/21.63 (! [X] : n(X) = a(X,X) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f10,axiom,(
% 166.57/21.63 (! [X,Y] :( mem(X,p(Y))<=> subq(X,Y) ) )),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f26,conjecture,(
% 166.57/21.63 disj(m(p(a(p(s(n(e))),n(n(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(n(e)))))) ),
% 166.57/21.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 166.57/21.63 fof(f27,negated_conjecture,(
% 166.57/21.63 ~(disj(m(p(a(p(s(n(e))),n(n(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(n(e)))))) )),
% 166.57/21.63 inference(negated_conjecture,[status(cth)],[f26])).
% 166.57/21.63 fof(f28,plain,(
% 166.57/21.63 ![X,Y]: (subq(X,Y)<=>(![Z]: (~mem(Z,X)|mem(Z,Y))))),
% 166.57/21.63 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 166.57/21.63 fof(f29,plain,(
% 166.57/21.63 ![X,Y]: ((~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y))))&(subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 166.57/21.63 inference(NNF_transformation,[status(thm)],[f28])).
% 166.57/21.63 fof(f30,plain,(
% 166.57/21.63 (![X,Y]: (~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y)))))&(![X,Y]: (subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 166.57/21.63 inference(miniscoping,[status(thm)],[f29])).
% 166.57/21.63 fof(f31,plain,(
% 166.57/21.63 (![X,Y]: (~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y)))))&(![X,Y]: (subq(X,Y)|(mem(sK0_skl(Y,X),X)&~mem(sK0_skl(Y,X),Y))))),
% 166.57/21.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f30])).
% 166.57/21.63 fof(f32,plain,(
% 166.57/21.63 ![X0,X1,X2]: (~subq(X0,X1)|~mem(X2,X0)|mem(X2,X1))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f31])).
% 166.57/21.63 fof(f33,plain,(
% 166.57/21.63 ![X0,X1]: (subq(X0,X1)|mem(sK0_skl(X1,X0),X0))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f31])).
% 166.57/21.63 fof(f34,plain,(
% 166.57/21.63 ![X0,X1]: (subq(X0,X1)|~mem(sK0_skl(X1,X0),X1))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f31])).
% 166.57/21.63 fof(f35,plain,(
% 166.57/21.63 ![X,Y]: (~subq(X,Y)|(~subq(Y,X)|X=Y))),
% 166.57/21.63 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 166.57/21.63 fof(f36,plain,(
% 166.57/21.63 ![X0,X1]: (~subq(X0,X1)|~subq(X1,X0)|X0=X1)),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f35])).
% 166.57/21.63 fof(f37,plain,(
% 166.57/21.63 ![X,Y]: (disj(X,Y)<=>(![Z]: (~mem(Z,X)|~mem(Z,Y))))),
% 166.57/21.63 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 166.57/21.63 fof(f38,plain,(
% 166.57/21.63 ![X,Y]: ((~disj(X,Y)|(![Z]: (~mem(Z,X)|~mem(Z,Y))))&(disj(X,Y)|(?[Z]: (mem(Z,X)&mem(Z,Y)))))),
% 166.57/21.63 inference(NNF_transformation,[status(thm)],[f37])).
% 166.57/21.63 fof(f39,plain,(
% 166.57/21.63 (![X,Y]: (~disj(X,Y)|(![Z]: (~mem(Z,X)|~mem(Z,Y)))))&(![X,Y]: (disj(X,Y)|(?[Z]: (mem(Z,X)&mem(Z,Y)))))),
% 166.57/21.63 inference(miniscoping,[status(thm)],[f38])).
% 166.57/21.63 fof(f40,plain,(
% 166.57/21.63 (![X,Y]: (~disj(X,Y)|(![Z]: (~mem(Z,X)|~mem(Z,Y)))))&(![X,Y]: (disj(X,Y)|(mem(sK1_skl(Y,X),X)&mem(sK1_skl(Y,X),Y))))),
% 166.57/21.63 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Z,sK1_skl(Y,X))],[f39])).
% 166.57/21.63 fof(f42,plain,(
% 166.57/21.63 ![X0,X1]: (disj(X0,X1)|mem(sK1_skl(X1,X0),X0))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f40])).
% 166.57/21.63 fof(f43,plain,(
% 166.57/21.63 ![X0,X1]: (disj(X0,X1)|mem(sK1_skl(X1,X0),X1))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f40])).
% 166.57/21.63 fof(f44,plain,(
% 166.57/21.63 ![X0]: (~mem(X0,e))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f4])).
% 166.57/21.63 fof(f45,plain,(
% 166.57/21.63 ![X,Y]: ((~mem(X,s(Y))|X=Y)&(mem(X,s(Y))|~X=Y))),
% 166.57/21.63 inference(NNF_transformation,[status(thm)],[f5])).
% 166.57/21.63 fof(f46,plain,(
% 166.57/21.63 (![X,Y]: (~mem(X,s(Y))|X=Y))&(![X,Y]: (mem(X,s(Y))|~X=Y))),
% 166.57/21.63 inference(miniscoping,[status(thm)],[f45])).
% 166.57/21.63 fof(f47,plain,(
% 166.57/21.63 ![X0,X1]: (~mem(X0,s(X1))|X0=X1)),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f46])).
% 166.57/21.63 fof(f48,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,s(X1))|~X0=X1)),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f46])).
% 166.57/21.63 fof(f49,plain,(
% 166.57/21.63 ![X,Y,Z]: ((~mem(X,u(Y,Z))|(mem(X,Y)|mem(X,Z)))&(mem(X,u(Y,Z))|(~mem(X,Y)&~mem(X,Z))))),
% 166.57/21.63 inference(NNF_transformation,[status(thm)],[f6])).
% 166.57/21.63 fof(f50,plain,(
% 166.57/21.63 (![X,Y,Z]: (~mem(X,u(Y,Z))|(mem(X,Y)|mem(X,Z))))&(![X,Y,Z]: (mem(X,u(Y,Z))|(~mem(X,Y)&~mem(X,Z))))),
% 166.57/21.63 inference(miniscoping,[status(thm)],[f49])).
% 166.57/21.63 fof(f51,plain,(
% 166.57/21.63 ![X0,X1,X2]: (~mem(X0,u(X1,X2))|mem(X0,X1)|mem(X0,X2))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f50])).
% 166.57/21.63 fof(f52,plain,(
% 166.57/21.63 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X1))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f50])).
% 166.57/21.63 fof(f53,plain,(
% 166.57/21.63 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X2))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f50])).
% 166.57/21.63 fof(f54,plain,(
% 166.57/21.63 ![X,Y,Z]: ((~mem(X,m(Y,Z))|(mem(X,Y)&~mem(X,Z)))&(mem(X,m(Y,Z))|(~mem(X,Y)|mem(X,Z))))),
% 166.57/21.63 inference(NNF_transformation,[status(thm)],[f7])).
% 166.57/21.63 fof(f55,plain,(
% 166.57/21.63 (![X,Y,Z]: (~mem(X,m(Y,Z))|(mem(X,Y)&~mem(X,Z))))&(![X,Y,Z]: (mem(X,m(Y,Z))|(~mem(X,Y)|mem(X,Z))))),
% 166.57/21.63 inference(miniscoping,[status(thm)],[f54])).
% 166.57/21.63 fof(f56,plain,(
% 166.57/21.63 ![X0,X1,X2]: (~mem(X0,m(X1,X2))|mem(X0,X1))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f55])).
% 166.57/21.63 fof(f57,plain,(
% 166.57/21.63 ![X0,X1,X2]: (~mem(X0,m(X1,X2))|~mem(X0,X2))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f55])).
% 166.57/21.63 fof(f58,plain,(
% 166.57/21.63 ![X0,X1,X2]: (mem(X0,m(X1,X2))|~mem(X0,X1)|mem(X0,X2))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f55])).
% 166.57/21.63 fof(f59,plain,(
% 166.57/21.63 ![X0,X1]: (a(X0,X1)=u(X0,s(X1)))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f8])).
% 166.57/21.63 fof(f60,plain,(
% 166.57/21.63 ![X0]: (n(X0)=a(X0,X0))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f9])).
% 166.57/21.63 fof(f61,plain,(
% 166.57/21.63 ![X,Y]: ((~mem(X,p(Y))|subq(X,Y))&(mem(X,p(Y))|~subq(X,Y)))),
% 166.57/21.63 inference(NNF_transformation,[status(thm)],[f10])).
% 166.57/21.63 fof(f62,plain,(
% 166.57/21.63 (![X,Y]: (~mem(X,p(Y))|subq(X,Y)))&(![X,Y]: (mem(X,p(Y))|~subq(X,Y)))),
% 166.57/21.63 inference(miniscoping,[status(thm)],[f61])).
% 166.57/21.63 fof(f63,plain,(
% 166.57/21.63 ![X0,X1]: (~mem(X0,p(X1))|subq(X0,X1))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f62])).
% 166.57/21.63 fof(f169,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(n(e))),n(n(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(n(e))))))),
% 166.57/21.63 inference(cnf_transformation,[status(thm)],[f27])).
% 166.57/21.63 fof(f170,plain,(
% 166.57/21.63 ![X0]: (mem(X0,s(X0)))),
% 166.57/21.63 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 166.57/21.63 fof(f172,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,u(s(X0),X1)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f52,f170])).
% 166.57/21.63 fof(f174,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,a(s(X0),X1)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f172])).
% 166.57/21.63 fof(f176,plain,(
% 166.57/21.63 ![X0]: (mem(X0,n(s(X0))))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f174])).
% 166.57/21.63 fof(f178,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,u(X1,n(s(X0)))))),
% 166.57/21.63 inference(resolution,[status(thm)],[f53,f176])).
% 166.57/21.63 fof(f181,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,u(X1,s(X0))))),
% 166.57/21.63 inference(resolution,[status(thm)],[f53,f170])).
% 166.57/21.63 fof(f182,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,a(X1,X0)))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f59,f181])).
% 166.57/21.63 fof(f185,plain,(
% 166.57/21.63 ![X0]: (mem(X0,n(X0)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f182])).
% 166.57/21.63 fof(f187,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,u(n(X0),X1)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f185,f52])).
% 166.57/21.63 fof(f192,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,a(n(X0),X1)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f187])).
% 166.57/21.63 fof(f195,plain,(
% 166.57/21.63 ![X0]: (mem(X0,n(n(X0))))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f192])).
% 166.57/21.63 fof(f199,plain,(
% 166.57/21.63 ![X0,X1,X2]: (~mem(X0,a(X1,X2))|mem(X0,X1)|mem(X0,s(X2)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f51])).
% 166.57/21.63 fof(f201,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,u(n(n(X0)),X1)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f195,f52])).
% 166.57/21.63 fof(f202,plain,(
% 166.57/21.63 ![X0,X1,X2]: (subq(m(X0,X1),X2)|mem(sK0_skl(X2,m(X0,X1)),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f33,f56])).
% 166.57/21.63 fof(f203,plain,(
% 166.57/21.63 ![X0,X1,X2]: (subq(u(X0,X1),X2)|mem(sK0_skl(X2,u(X0,X1)),X0)|mem(sK0_skl(X2,u(X0,X1)),X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f33,f51])).
% 166.57/21.63 fof(f206,plain,(
% 166.57/21.63 ![X0]: (subq(e,X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f33,f44])).
% 166.57/21.63 fof(f207,plain,(
% 166.57/21.63 ![X0,X1,X2]: (subq(X0,X1)|mem(sK0_skl(X1,X0),u(X2,X0)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f33,f53])).
% 166.57/21.63 fof(f208,plain,(
% 166.57/21.63 ![X0,X1,X2]: (subq(X0,X1)|mem(sK0_skl(X1,X0),u(X0,X2)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f33,f52])).
% 166.57/21.63 fof(f229,plain,(
% 166.57/21.63 ![X0,X1,X2]: (~mem(sK0_skl(X0,m(X1,X2)),X2)|subq(m(X1,X2),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f57,f33])).
% 166.57/21.63 fof(f259,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,a(n(n(X0)),X1)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f201])).
% 166.57/21.63 fof(f267,plain,(
% 166.57/21.63 ![X0]: (mem(X0,n(n(n(X0)))))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f259])).
% 166.57/21.63 fof(f294,plain,(
% 166.57/21.63 ![X0,X1]: (mem(X0,m(s(X0),X1))|mem(X0,X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f58,f170])).
% 166.57/21.63 fof(f315,plain,(
% 166.57/21.63 ![X0]: (~subq(X0,e)|e=X0)),
% 166.57/21.63 inference(resolution,[status(thm)],[f36,f206])).
% 166.57/21.63 fof(f319,plain,(
% 166.57/21.63 ![X0,X1,X2]: (disj(m(X0,X1),X2)|mem(sK1_skl(X2,m(X0,X1)),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f42,f56])).
% 166.57/21.63 fof(f320,plain,(
% 166.57/21.63 ![X0,X1,X2]: (disj(u(X0,X1),X2)|mem(sK1_skl(X2,u(X0,X1)),X0)|mem(sK1_skl(X2,u(X0,X1)),X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f42,f51])).
% 166.57/21.63 fof(f330,plain,(
% 166.57/21.63 ![X0,X1,X2]: (disj(X0,u(X1,X2))|mem(sK1_skl(u(X1,X2),X0),X1)|mem(sK1_skl(u(X1,X2),X0),X2))),
% 166.57/21.63 inference(resolution,[status(thm)],[f43,f51])).
% 166.57/21.63 fof(f365,plain,(
% 166.57/21.63 ![X0,X1,X2,X3]: (subq(m(X0,X1),X2)|mem(sK0_skl(X2,m(X0,X1)),u(X0,X3)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f202,f52])).
% 166.57/21.63 fof(f417,plain,(
% 166.57/21.63 ![X0]: (subq(u(X0,X0),X0)|subq(u(X0,X0),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f203,f34])).
% 166.57/21.63 fof(f418,plain,(
% 166.57/21.63 ![X0,X1]: (subq(u(X0,X1),X0)|mem(sK0_skl(X0,u(X0,X1)),X1)|subq(u(X0,X1),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f203,f34])).
% 166.57/21.63 fof(f424,plain,(
% 166.57/21.63 ![X0,X1,X2,X3]: (subq(u(m(X0,X1),X2),X3)|mem(sK0_skl(X3,u(m(X0,X1),X2)),X2)|mem(sK0_skl(X3,u(m(X0,X1),X2)),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f203,f56])).
% 166.57/21.63 fof(f449,plain,(
% 166.57/21.63 ![X0,X1,X2,X3]: (subq(u(X0,X1),X2)|mem(sK0_skl(X2,u(X0,X1)),X0)|mem(sK0_skl(X2,u(X0,X1)),u(X1,X3)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f203,f52])).
% 166.57/21.63 fof(f452,plain,(
% 166.57/21.63 ![X0]: (subq(u(X0,X0),X0))),
% 166.57/21.63 inference(duplicate_literals_removal,[status(thm)],[f417])).
% 166.57/21.63 fof(f453,plain,(
% 166.57/21.63 ![X0,X1]: (subq(u(X0,X1),X0)|mem(sK0_skl(X0,u(X0,X1)),X1))),
% 166.57/21.63 inference(duplicate_literals_removal,[status(thm)],[f418])).
% 166.57/21.63 fof(f469,plain,(
% 166.57/21.63 ![X0]: (~subq(X0,u(X0,X0))|u(X0,X0)=X0)),
% 166.57/21.63 inference(resolution,[status(thm)],[f452,f36])).
% 166.57/21.63 fof(f684,plain,(
% 166.57/21.63 ![X0,X1]: (subq(X0,u(X1,X0))|subq(X0,u(X1,X0)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f207,f34])).
% 166.57/21.63 fof(f693,plain,(
% 166.57/21.63 ![X0,X1]: (subq(X0,u(X1,X0)))),
% 166.57/21.63 inference(duplicate_literals_removal,[status(thm)],[f684])).
% 166.57/21.63 fof(f694,plain,(
% 166.57/21.63 ![X0,X1]: (subq(X0,u(X0,X1))|subq(X0,u(X0,X1)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f208,f34])).
% 166.57/21.63 fof(f703,plain,(
% 166.57/21.63 ![X0,X1]: (subq(X0,u(X0,X1)))),
% 166.57/21.63 inference(duplicate_literals_removal,[status(thm)],[f694])).
% 166.57/21.63 fof(f705,plain,(
% 166.57/21.63 ![X0,X1]: (~subq(u(X0,X1),X1)|X1=u(X0,X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f693,f36])).
% 166.57/21.63 fof(f711,plain,(
% 166.57/21.63 ![X0,X1]: (~subq(u(X0,X1),X0)|X0=u(X0,X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f703,f36])).
% 166.57/21.63 fof(f715,plain,(
% 166.57/21.63 ![X0,X1]: (subq(X0,a(X0,X1)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f703])).
% 166.57/21.63 fof(f717,plain,(
% 166.57/21.63 ![X0,X1]: (~subq(a(X0,X1),X0)|X0=a(X0,X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f715,f36])).
% 166.57/21.63 fof(f720,plain,(
% 166.57/21.63 ![X0]: (subq(X0,n(X0)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f715])).
% 166.57/21.63 fof(f722,plain,(
% 166.57/21.63 ![X0]: (~subq(n(X0),X0)|X0=n(X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f720,f36])).
% 166.57/21.63 fof(f723,plain,(
% 166.57/21.63 ![X0,X1]: (~mem(X0,X1)|mem(X0,n(X1)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f720,f32])).
% 166.57/21.63 fof(f829,plain,(
% 166.57/21.63 ![X0]: (mem(X0,n(n(n(n(X0))))))),
% 166.57/21.63 inference(resolution,[status(thm)],[f723,f267])).
% 166.57/21.63 fof(f1307,plain,(
% 166.57/21.63 ![X0,X1,X2]: (disj(m(p(X0),X1),X2)|subq(sK1_skl(X2,m(p(X0),X1)),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f319,f63])).
% 166.57/21.63 fof(f1333,plain,(
% 166.57/21.63 ![X0,X1,X2,X3]: (disj(u(u(X0,X1),X2),X3)|mem(sK1_skl(X3,u(u(X0,X1),X2)),X2)|mem(sK1_skl(X3,u(u(X0,X1),X2)),X0)|mem(sK1_skl(X3,u(u(X0,X1),X2)),X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f320,f51])).
% 166.57/21.63 fof(f1409,plain,(
% 166.57/21.63 ![X0]: (u(X0,X0)=X0)),
% 166.57/21.63 inference(forward_subsumption_resolution,[status(thm)],[f469,f703])).
% 166.57/21.63 fof(f1747,plain,(
% 166.57/21.63 ![X0]: (mem(X0,n(n(n(n(n(X0)))))))),
% 166.57/21.63 inference(resolution,[status(thm)],[f829,f723])).
% 166.57/21.63 fof(f2187,plain,(
% 166.57/21.63 ![X0,X1,X2]: (disj(X0,u(s(X1),X2))|mem(sK1_skl(u(s(X1),X2),X0),X2)|sK1_skl(u(s(X1),X2),X0)=X1)),
% 166.57/21.63 inference(resolution,[status(thm)],[f330,f47])).
% 166.57/21.63 fof(f4299,plain,(
% 166.57/21.63 ![X0,X1,X2]: (subq(m(X0,u(X0,X1)),X2)|subq(m(X0,u(X0,X1)),X2))),
% 166.57/21.63 inference(resolution,[status(thm)],[f365,f229])).
% 166.57/21.63 fof(f4314,plain,(
% 166.57/21.63 ![X0,X1,X2]: (subq(m(X0,u(X0,X1)),X2))),
% 166.57/21.63 inference(duplicate_literals_removal,[status(thm)],[f4299])).
% 166.57/21.63 fof(f4330,plain,(
% 166.57/21.63 ![X0,X1]: (subq(u(X0,s(X1)),X0)|sK0_skl(X0,u(X0,s(X1)))=X1)),
% 166.57/21.63 inference(resolution,[status(thm)],[f453,f47])).
% 166.57/21.63 fof(f4347,plain,(
% 166.57/21.63 ![X0,X1]: (subq(a(X0,X1),X0)|sK0_skl(X0,u(X0,s(X1)))=X1)),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f59,f4330])).
% 166.57/21.63 fof(f4348,plain,(
% 166.57/21.63 ![X0,X1]: (subq(a(X0,X1),X0)|sK0_skl(X0,a(X0,X1))=X1)),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f59,f4347])).
% 166.57/21.63 fof(f4528,plain,(
% 166.57/21.63 ![X0,X1]: (e=m(X0,u(X0,X1)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f4314,f315])).
% 166.57/21.63 fof(f4891,plain,(
% 166.57/21.63 ![X0,X1]: (e=m(X0,a(X0,X1)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f4528])).
% 166.57/21.63 fof(f5057,plain,(
% 166.57/21.63 ![X0,X1]: (subq(u(m(X0,X1),X0),X0)|subq(u(m(X0,X1),X0),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f424,f34])).
% 166.57/21.63 fof(f5133,plain,(
% 166.57/21.63 ![X0,X1]: (subq(u(m(X0,X1),X0),X0))),
% 166.57/21.63 inference(duplicate_literals_removal,[status(thm)],[f5057])).
% 166.57/21.63 fof(f5213,plain,(
% 166.57/21.63 ![X0]: (e=m(X0,n(X0)))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f4891])).
% 166.57/21.63 fof(f5798,plain,(
% 166.57/21.63 ![X0,X1]: (X0=u(m(X0,X1),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f5133,f705])).
% 166.57/21.63 fof(f5832,plain,(
% 166.57/21.63 ![X0,X1]: (s(X0)=a(m(s(X0),X1),X0))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f5798])).
% 166.57/21.63 fof(f5835,plain,(
% 166.57/21.63 ![X0]: (X0=u(e,X0))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f5213,f5798])).
% 166.57/21.63 fof(f5996,plain,(
% 166.57/21.63 ![X0]: (s(X0)=a(e,X0))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f59,f5835])).
% 166.57/21.63 fof(f6219,plain,(
% 166.57/21.63 s(e)=n(e)),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f5996])).
% 166.57/21.63 fof(f6304,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(n(e))),n(n(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(s(e))))))),
% 166.57/21.63 inference(backward_demodulation,[status(thm)],[f6219,f169])).
% 166.57/21.63 fof(f6374,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(s(e))),n(n(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(s(e))))))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f6219,f6304])).
% 166.57/21.63 fof(f6375,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(s(e))))))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f6219,f6374])).
% 166.57/21.63 fof(f6376,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(s(e))))))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f6219,f6375])).
% 166.57/21.63 fof(f6377,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(s(e))))))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f6219,f6376])).
% 166.57/21.63 fof(f6378,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))),u(s(u(s(e),n(s(n(e))))),n(a(p(s(n(e))),n(s(e))))))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f6219,f6377])).
% 166.57/21.63 fof(f6379,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))),u(s(u(s(e),n(s(s(e))))),n(a(p(s(n(e))),n(s(e))))))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f6219,f6378])).
% 166.57/21.63 fof(f6380,plain,(
% 166.57/21.63 ~disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))),u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f6219,f6379])).
% 166.57/21.63 fof(f11774,plain,(
% 166.57/21.63 ![X0,X1]: (subq(u(u(X0,X1),X0),u(X0,X1))|subq(u(u(X0,X1),X0),u(X0,X1)))),
% 166.57/21.63 inference(resolution,[status(thm)],[f449,f34])).
% 166.57/21.63 fof(f11847,plain,(
% 166.57/21.63 ![X0,X1]: (subq(u(u(X0,X1),X0),u(X0,X1)))),
% 166.57/21.63 inference(duplicate_literals_removal,[status(thm)],[f11774])).
% 166.57/21.63 fof(f12637,plain,(
% 166.57/21.63 ![X0,X1]: (u(X0,X1)=u(u(X0,X1),X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f11847,f711])).
% 166.57/21.63 fof(f62512,plain,(
% 166.57/21.63 ![X0,X1]: (sK0_skl(X0,a(X0,X1))=X1|X0=a(X0,X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f4348,f717])).
% 166.57/21.63 fof(f62554,plain,(
% 166.57/21.63 ![X0]: (sK0_skl(X0,n(X0))=X0|X0=a(X0,X0))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f60,f62512])).
% 166.57/21.63 fof(f62577,plain,(
% 166.57/21.63 ![X0,X1]: (subq(a(X0,X1),X0)|~mem(X1,X0)|X0=a(X0,X1))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f62512,f34])).
% 166.57/21.63 fof(f62580,plain,(
% 166.57/21.63 ![X0]: (sK0_skl(X0,n(X0))=X0|X0=n(X0))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f60,f62554])).
% 166.57/21.63 fof(f62591,plain,(
% 166.57/21.63 ![X0,X1]: (~mem(X0,X1)|X1=a(X1,X0))),
% 166.57/21.63 inference(forward_subsumption_resolution,[status(thm)],[f62577,f717])).
% 166.57/21.63 fof(f62698,plain,(
% 166.57/21.63 ![X0,X1]: (X0=a(X0,sK1_skl(X1,u(u(X0,X0),X0)))|disj(u(u(X0,X0),X0),X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f62591,f1333])).
% 166.57/21.63 fof(f62969,plain,(
% 166.57/21.63 ![X0,X1]: (m(s(X0),X1)=a(m(s(X0),X1),X0)|mem(X0,X1))),
% 166.57/21.63 inference(resolution,[status(thm)],[f62591,f294])).
% 166.57/21.63 fof(f63495,plain,(
% 166.57/21.63 ![X0,X1]: (X0=a(X0,sK1_skl(X1,u(X0,X0)))|disj(u(u(X0,X0),X0),X1))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f12637,f62698])).
% 166.57/21.63 fof(f63496,plain,(
% 166.57/21.63 ![X0,X1]: (X0=a(X0,sK1_skl(X1,X0))|disj(u(u(X0,X0),X0),X1))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f1409,f63495])).
% 166.57/21.63 fof(f63497,plain,(
% 166.57/21.63 ![X0,X1]: (X0=a(X0,sK1_skl(X1,X0))|disj(u(X0,X0),X1))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f12637,f63496])).
% 166.57/21.63 fof(f63498,plain,(
% 166.57/21.63 ![X0,X1]: (X0=a(X0,sK1_skl(X1,X0))|disj(X0,X1))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f1409,f63497])).
% 166.57/21.63 fof(f63691,plain,(
% 166.57/21.63 ![X0,X1]: (m(s(X0),X1)=s(X0)|mem(X0,X1))),
% 166.57/21.63 inference(forward_demodulation,[status(thm)],[f5832,f62969])).
% 166.57/21.63 fof(f67231,plain,(
% 166.57/21.63 ![X0]: (subq(n(X0),X0)|~mem(X0,X0)|X0=n(X0))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f62580,f34])).
% 166.57/21.63 fof(f67242,plain,(
% 166.57/21.63 ![X0]: (~mem(X0,X0)|X0=n(X0))),
% 166.57/21.63 inference(forward_subsumption_resolution,[status(thm)],[f67231,f722])).
% 166.57/21.63 fof(f68831,plain,(
% 166.57/21.63 m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e)))))=a(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))),sK1_skl(u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))),m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e)))))))),
% 166.57/21.63 inference(resolution,[status(thm)],[f63498,f6380])).
% 166.57/21.63 fof(f69675,plain,(
% 166.57/21.63 mem(sK1_skl(u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))),m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e)))))),m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f68831,f182])).
% 166.57/21.63 fof(f73215,plain,(
% 166.57/21.63 ~mem(sK1_skl(u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))),m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e)))))),n(a(p(s(s(e))),n(s(e)))))),
% 166.57/21.63 inference(resolution,[status(thm)],[f69675,f57])).
% 166.57/21.63 fof(f73247,plain,(
% 166.57/21.63 disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))),u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))))|sK1_skl(u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))),m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))))=u(s(e),n(s(s(e))))),
% 166.57/21.63 inference(resolution,[status(thm)],[f73215,f2187])).
% 166.57/21.63 fof(f73256,plain,(
% 166.57/21.63 sK1_skl(u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))),m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))))=u(s(e),n(s(s(e))))),
% 166.57/21.63 inference(forward_subsumption_resolution,[status(thm)],[f73247,f6380])).
% 166.57/21.63 fof(f73284,plain,(
% 166.57/21.63 disj(m(p(a(p(s(s(e))),n(s(e)))),n(a(p(s(s(e))),n(s(e))))),u(s(u(s(e),n(s(s(e))))),n(a(p(s(s(e))),n(s(e))))))|subq(u(s(e),n(s(s(e)))),a(p(s(s(e))),n(s(e))))),
% 166.57/21.63 inference(paramodulation,[status(thm)],[f73256,f1307])).
% 166.57/21.63 fof(f73333,plain,(
% 166.57/21.63 subq(u(s(e),n(s(s(e)))),a(p(s(s(e))),n(s(e))))),
% 166.57/21.63 inference(forward_subsumption_resolution,[status(thm)],[f73284,f6380])).
% 166.57/21.63 fof(f76020,plain,(
% 166.57/21.63 ![X0]: (m(s(X0),X0)=s(X0)|X0=n(X0))),
% 166.57/21.63 inference(resolution,[status(thm)],[f63691,f67242])).
% 166.57/21.63 fof(f79506,plain,(
% 166.57/21.63 ![X0]: (~mem(X0,u(s(e),n(s(s(e)))))|mem(X0,a(p(s(s(e))),n(s(e)))))),
% 89.31/21.77 inference(resolution,[status(thm)],[f73333,f32])).
% 89.31/21.77 fof(f83136,plain,(
% 89.31/21.77 mem(s(e),a(p(s(s(e))),n(s(e))))),
% 89.31/21.77 inference(resolution,[status(thm)],[f79506,f178])).
% 89.31/21.77 fof(f83356,plain,(
% 89.31/21.77 mem(s(e),p(s(s(e))))|mem(s(e),s(n(s(e))))),
% 89.31/21.77 inference(resolution,[status(thm)],[f83136,f199])).
% 89.31/21.77 fof(f84611,plain,(
% 89.31/21.77 ![X0,X1]: (~mem(X0,s(X1))|~mem(X0,X1)|X1=n(X1))),
% 89.31/21.77 inference(paramodulation,[status(thm)],[f76020,f57])).
% 89.31/21.77 fof(f90618,plain,(
% 89.31/21.77 mem(s(e),s(n(s(e))))|subq(s(e),s(s(e)))),
% 89.31/21.77 inference(resolution,[status(thm)],[f83356,f63])).
% 89.31/21.77 fof(f90652,plain,(
% 89.31/21.77 subq(s(e),s(s(e)))|s(e)=n(s(e))),
% 89.31/21.77 inference(resolution,[status(thm)],[f90618,f47])).
% 89.31/21.77 fof(f90701,plain,(
% 89.31/21.77 ![X0]: (s(e)=n(s(e))|~mem(X0,s(e))|mem(X0,s(s(e))))),
% 89.31/21.77 inference(resolution,[status(thm)],[f90652,f32])).
% 89.31/21.77 fof(f93337,plain,(
% 89.31/21.77 ![X0]: (s(e)=n(s(e))|~mem(X0,s(e)))),
% 89.31/21.77 inference(forward_subsumption_resolution,[status(thm)],[f90701,f84611])).
% 89.31/21.77 fof(f93536,plain,(
% 89.31/21.77 s(e)=n(s(e))),
% 89.31/21.77 inference(resolution,[status(thm)],[f93337,f170])).
% 89.31/21.77 fof(f94030,plain,(
% 89.31/21.77 mem(s(e),n(n(n(n(s(e))))))),
% 89.31/21.77 inference(paramodulation,[status(thm)],[f93536,f1747])).
% 89.31/21.77 fof(f94259,plain,(
% 89.31/21.77 mem(s(e),n(n(n(s(e)))))),
% 89.31/21.77 inference(forward_demodulation,[status(thm)],[f93536,f94030])).
% 89.31/21.77 fof(f94260,plain,(
% 89.31/21.77 mem(s(e),n(n(s(e))))),
% 89.31/21.77 inference(forward_demodulation,[status(thm)],[f93536,f94259])).
% 89.31/21.77 fof(f94261,plain,(
% 89.31/21.77 mem(s(e),n(s(e)))),
% 89.31/21.77 inference(forward_demodulation,[status(thm)],[f93536,f94260])).
% 89.31/21.77 fof(f94262,plain,(
% 89.31/21.77 mem(s(e),s(e))),
% 89.31/21.77 inference(forward_demodulation,[status(thm)],[f93536,f94261])).
% 89.31/21.77 fof(f94329,plain,(
% 89.31/21.77 s(e)=e),
% 89.31/21.77 inference(resolution,[status(thm)],[f94262,f47])).
% 89.31/21.77 fof(f94375,plain,(
% 89.31/21.77 mem(s(e),e)),
% 89.31/21.77 inference(backward_demodulation,[status(thm)],[f94329,f94262])).
% 89.31/21.77 fof(f94802,plain,(
% 89.31/21.77 mem(e,e)),
% 89.31/21.77 inference(forward_demodulation,[status(thm)],[f94329,f94375])).
% 89.31/21.77 fof(f94803,plain,(
% 89.31/21.77 $false),
% 89.31/21.77 inference(forward_subsumption_resolution,[status(thm)],[f94802,f44])).
% 89.31/21.77 % SZS output end CNFRefutation for theBenchmark.p
% 89.31/21.81 % Elapsed time: 21.369008 seconds
% 89.31/21.81 % CPU time: 168.510477 seconds
% 89.31/21.81 % Total memory used: 837.056 MB
% 89.31/21.81 % Net memory used: 758.379 MB
%------------------------------------------------------------------------------