%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV566+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 27.21s 4.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV566+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n002.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 07:29:03 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 27.21/4.03 % Refutation found
% 27.21/4.03 % SZS status Theorem for theBenchmark: Theorem is valid
% 27.21/4.03 % SZS output start CNFRefutation for theBenchmark
% 27.21/4.03 fof(f1,axiom,(
% 27.21/4.03 (! [X,Y] :( subq(X,Y)<=> (! [Z] :( mem(Z,X)=> mem(Z,Y) ) )) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f2,axiom,(
% 27.21/4.03 (! [X,Y] :( subq(X,Y)=> ( subq(Y,X)=> X = Y ) ) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f4,axiom,(
% 27.21/4.03 (! [X] : ~ mem(X,e) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f5,axiom,(
% 27.21/4.03 (! [X,Y] :( mem(X,s(Y))<=> X = Y ) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f6,axiom,(
% 27.21/4.03 (! [X,Y,Z] :( mem(X,u(Y,Z))<=> ( mem(X,Y)| mem(X,Z) ) ) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f7,axiom,(
% 27.21/4.03 (! [X,Y,Z] :( mem(X,m(Y,Z))<=> ( mem(X,Y)& ~ mem(X,Z) ) ) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f8,axiom,(
% 27.21/4.03 (! [X,Y] : a(X,Y) = u(X,s(Y)) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f9,axiom,(
% 27.21/4.03 (! [X] : n(X) = a(X,X) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f10,axiom,(
% 27.21/4.03 (! [X,Y] :( mem(X,p(Y))<=> subq(X,Y) ) )),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f26,conjecture,(
% 27.21/4.03 ~ subq(u(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),s(a(s(n(e)),n(n(e))))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e)))))) ),
% 27.21/4.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.21/4.03 fof(f27,negated_conjecture,(
% 27.21/4.03 ~(~ subq(u(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),s(a(s(n(e)),n(n(e))))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e)))))) )),
% 27.21/4.03 inference(negated_conjecture,[status(cth)],[f26])).
% 27.21/4.03 fof(f28,plain,(
% 27.21/4.03 ![X,Y]: (subq(X,Y)<=>(![Z]: (~mem(Z,X)|mem(Z,Y))))),
% 27.21/4.03 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 27.21/4.03 fof(f29,plain,(
% 27.21/4.03 ![X,Y]: ((~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y))))&(subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 27.21/4.03 inference(NNF_transformation,[status(thm)],[f28])).
% 27.21/4.03 fof(f30,plain,(
% 27.21/4.03 (![X,Y]: (~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y)))))&(![X,Y]: (subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 27.21/4.03 inference(miniscoping,[status(thm)],[f29])).
% 27.21/4.03 fof(f31,plain,(
% 27.21/4.03 (![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))))),
% 27.21/4.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f30])).
% 27.21/4.03 fof(f32,plain,(
% 27.21/4.03 ![X0,X1,X2]: (~subq(X0,X1)|~mem(X2,X0)|mem(X2,X1))),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f31])).
% 27.21/4.03 fof(f33,plain,(
% 27.21/4.03 ![X0,X1]: (subq(X0,X1)|mem(sK0_skl(X1,X0),X0))),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f31])).
% 27.21/4.03 fof(f34,plain,(
% 27.21/4.03 ![X0,X1]: (subq(X0,X1)|~mem(sK0_skl(X1,X0),X1))),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f31])).
% 27.21/4.03 fof(f35,plain,(
% 27.21/4.03 ![X,Y]: (~subq(X,Y)|(~subq(Y,X)|X=Y))),
% 27.21/4.03 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 27.21/4.03 fof(f36,plain,(
% 27.21/4.03 ![X0,X1]: (~subq(X0,X1)|~subq(X1,X0)|X0=X1)),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f35])).
% 27.21/4.03 fof(f44,plain,(
% 27.21/4.03 ![X0]: (~mem(X0,e))),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f4])).
% 27.21/4.03 fof(f45,plain,(
% 27.21/4.03 ![X,Y]: ((~mem(X,s(Y))|X=Y)&(mem(X,s(Y))|~X=Y))),
% 27.21/4.03 inference(NNF_transformation,[status(thm)],[f5])).
% 27.21/4.03 fof(f46,plain,(
% 27.21/4.03 (![X,Y]: (~mem(X,s(Y))|X=Y))&(![X,Y]: (mem(X,s(Y))|~X=Y))),
% 27.21/4.03 inference(miniscoping,[status(thm)],[f45])).
% 27.21/4.03 fof(f47,plain,(
% 27.21/4.03 ![X0,X1]: (~mem(X0,s(X1))|X0=X1)),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f46])).
% 27.21/4.03 fof(f48,plain,(
% 27.21/4.03 ![X0,X1]: (mem(X0,s(X1))|~X0=X1)),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f46])).
% 27.21/4.03 fof(f49,plain,(
% 27.21/4.03 ![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))))),
% 27.21/4.03 inference(NNF_transformation,[status(thm)],[f6])).
% 27.21/4.03 fof(f50,plain,(
% 27.21/4.03 (![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))))),
% 27.21/4.03 inference(miniscoping,[status(thm)],[f49])).
% 27.21/4.03 fof(f51,plain,(
% 27.21/4.03 ![X0,X1,X2]: (~mem(X0,u(X1,X2))|mem(X0,X1)|mem(X0,X2))),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f50])).
% 27.21/4.03 fof(f52,plain,(
% 27.21/4.03 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X1))),
% 27.21/4.03 inference(cnf_transformation,[status(thm)],[f50])).
% 27.83/4.04 fof(f53,plain,(
% 27.83/4.04 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X2))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f50])).
% 27.83/4.04 fof(f54,plain,(
% 27.83/4.04 ![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))))),
% 27.83/4.04 inference(NNF_transformation,[status(thm)],[f7])).
% 27.83/4.04 fof(f55,plain,(
% 27.83/4.04 (![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))))),
% 27.83/4.04 inference(miniscoping,[status(thm)],[f54])).
% 27.83/4.04 fof(f57,plain,(
% 27.83/4.04 ![X0,X1,X2]: (~mem(X0,m(X1,X2))|~mem(X0,X2))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f55])).
% 27.83/4.04 fof(f58,plain,(
% 27.83/4.04 ![X0,X1,X2]: (mem(X0,m(X1,X2))|~mem(X0,X1)|mem(X0,X2))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f55])).
% 27.83/4.04 fof(f59,plain,(
% 27.83/4.04 ![X0,X1]: (a(X0,X1)=u(X0,s(X1)))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f8])).
% 27.83/4.04 fof(f60,plain,(
% 27.83/4.04 ![X0]: (n(X0)=a(X0,X0))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f9])).
% 27.83/4.04 fof(f61,plain,(
% 27.83/4.04 ![X,Y]: ((~mem(X,p(Y))|subq(X,Y))&(mem(X,p(Y))|~subq(X,Y)))),
% 27.83/4.04 inference(NNF_transformation,[status(thm)],[f10])).
% 27.83/4.04 fof(f62,plain,(
% 27.83/4.04 (![X,Y]: (~mem(X,p(Y))|subq(X,Y)))&(![X,Y]: (mem(X,p(Y))|~subq(X,Y)))),
% 27.83/4.04 inference(miniscoping,[status(thm)],[f61])).
% 27.83/4.04 fof(f63,plain,(
% 27.83/4.04 ![X0,X1]: (~mem(X0,p(X1))|subq(X0,X1))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f62])).
% 27.83/4.04 fof(f64,plain,(
% 27.83/4.04 ![X0,X1]: (mem(X0,p(X1))|~subq(X0,X1))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f62])).
% 27.83/4.04 fof(f169,plain,(
% 27.83/4.04 subq(u(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),s(a(s(n(e)),n(n(e))))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e))))))),
% 27.83/4.04 inference(cnf_transformation,[status(thm)],[f27])).
% 27.83/4.04 fof(f170,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(X0)))),
% 27.83/4.04 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 27.83/4.04 fof(f171,plain,(
% 27.83/4.04 subq(a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e)))),u(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),s(a(s(n(e)),n(n(e))))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f59,f169])).
% 27.83/4.04 fof(f172,plain,(
% 27.83/4.04 subq(a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e)))),a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e)))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f59,f171])).
% 27.83/4.04 fof(f176,plain,(
% 27.83/4.04 ![X0,X1,X2]: (mem(X0,a(X1,X2))|~mem(X0,X1))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f59,f52])).
% 27.83/4.04 fof(f177,plain,(
% 27.83/4.04 ![X0,X1,X2]: (mem(X0,a(X1,X2))|~mem(X0,s(X2)))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f59,f53])).
% 27.83/4.04 fof(f178,plain,(
% 27.83/4.04 ![X0,X1]: (mem(X0,a(X1,X0)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f177,f170])).
% 27.83/4.04 fof(f182,plain,(
% 27.83/4.04 ![X0,X1,X2]: (~mem(X0,a(X1,X2))|mem(X0,X1)|mem(X0,s(X2)))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f59,f51])).
% 27.83/4.04 fof(f183,plain,(
% 27.83/4.04 ![X0]: (~mem(X0,a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e)))))|mem(X0,a(m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))),a(s(n(e)),n(n(e))))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f32,f172])).
% 27.83/4.04 fof(f185,plain,(
% 27.83/4.04 ![X0,X1]: (~mem(X0,n(X1))|mem(X0,X1)|mem(X0,s(X1)))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f60,f182])).
% 27.83/4.04 fof(f190,plain,(
% 27.83/4.04 ![X0,X1,X2]: (subq(u(X0,X1),X2)|mem(sK0_skl(X2,u(X0,X1)),X0)|mem(sK0_skl(X2,u(X0,X1)),X1))),
% 27.83/4.04 inference(resolution,[status(thm)],[f33,f51])).
% 27.83/4.04 fof(f191,plain,(
% 27.83/4.04 ![X0]: (subq(e,X0))),
% 27.83/4.04 inference(resolution,[status(thm)],[f33,f44])).
% 27.83/4.04 fof(f195,plain,(
% 27.83/4.04 ![X0]: (subq(X0,X0)|subq(X0,X0))),
% 27.83/4.04 inference(resolution,[status(thm)],[f34,f33])).
% 27.83/4.04 fof(f196,plain,(
% 27.83/4.04 ![X0,X1,X2]: (subq(X0,u(X1,X2))|~mem(sK0_skl(u(X1,X2),X0),X2))),
% 27.83/4.04 inference(resolution,[status(thm)],[f34,f53])).
% 27.83/4.04 fof(f197,plain,(
% 27.83/4.04 ![X0,X1,X2]: (subq(X0,u(X1,X2))|~mem(sK0_skl(u(X1,X2),X0),X1))),
% 27.83/4.04 inference(resolution,[status(thm)],[f34,f52])).
% 27.83/4.04 fof(f199,plain,(
% 27.83/4.04 ![X0]: (subq(X0,X0))),
% 27.83/4.04 inference(duplicate_literals_removal,[status(thm)],[f195])).
% 27.83/4.04 fof(f209,plain,(
% 27.83/4.04 ![X0]: (~mem(X0,a(m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))),a(s(n(e)),n(n(e)))))|mem(X0,m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))))|mem(X0,s(a(s(n(e)),n(n(e))))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f183,f182])).
% 27.83/4.04 fof(f217,plain,(
% 27.83/4.04 ![X0]: (~subq(X0,e)|X0=e)),
% 27.83/4.04 inference(resolution,[status(thm)],[f191,f36])).
% 27.83/4.04 fof(f225,plain,(
% 27.83/4.04 ![X0]: (~mem(X0,m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))))|mem(X0,m(p(u(n(e),n(s(n(e))))),u(s(n(e)),n(p(s(n(e)))))))|mem(X0,s(a(s(n(e)),n(n(e))))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f176,f209])).
% 27.83/4.04 fof(f280,plain,(
% 27.83/4.04 ![X0]: (~mem(X0,m(p(u(n(e),n(s(n(e))))),n(p(s(n(e))))))|mem(X0,s(a(s(n(e)),n(n(e)))))|~mem(X0,u(s(n(e)),n(p(s(n(e)))))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f225,f57])).
% 27.83/4.04 fof(f286,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(n(e)),n(n(e)))))|~mem(X0,u(s(n(e)),n(p(s(n(e))))))|~mem(X0,p(u(n(e),n(s(n(e))))))|mem(X0,n(p(s(n(e))))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f280,f58])).
% 27.83/4.04 fof(f291,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(n(e)),n(n(e)))))|~mem(X0,u(s(n(e)),n(p(s(n(e))))))|mem(X0,n(p(s(n(e)))))|~subq(X0,u(n(e),n(s(n(e))))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f286,f64])).
% 27.83/4.04 fof(f336,plain,(
% 27.83/4.04 ![X0]: (subq(u(X0,X0),X0)|subq(u(X0,X0),X0))),
% 27.83/4.04 inference(resolution,[status(thm)],[f190,f34])).
% 27.83/4.04 fof(f383,plain,(
% 27.83/4.04 ![X0]: (subq(u(X0,X0),X0))),
% 27.83/4.04 inference(duplicate_literals_removal,[status(thm)],[f336])).
% 27.83/4.04 fof(f403,plain,(
% 27.83/4.04 ![X0,X1,X2]: (subq(u(X0,X1),u(X2,X1))|subq(u(X0,X1),u(X2,X1))|mem(sK0_skl(u(X2,X1),u(X0,X1)),X0))),
% 27.83/4.04 inference(resolution,[status(thm)],[f196,f190])).
% 27.83/4.04 fof(f405,plain,(
% 27.83/4.04 ![X0,X1,X2]: (subq(u(X0,X1),u(X2,X0))|subq(u(X0,X1),u(X2,X0))|mem(sK0_skl(u(X2,X0),u(X0,X1)),X1))),
% 27.83/4.04 inference(resolution,[status(thm)],[f196,f190])).
% 27.83/4.04 fof(f408,plain,(
% 27.83/4.04 ![X0,X1]: (subq(X0,u(X1,X0))|subq(X0,u(X1,X0)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f196,f33])).
% 27.83/4.04 fof(f419,plain,(
% 27.83/4.04 ![X0,X1,X2]: (subq(u(X0,X1),u(X2,X1))|mem(sK0_skl(u(X2,X1),u(X0,X1)),X0))),
% 27.83/4.04 inference(duplicate_literals_removal,[status(thm)],[f403])).
% 27.83/4.04 fof(f421,plain,(
% 27.83/4.04 ![X0,X1,X2]: (subq(u(X0,X1),u(X2,X0))|mem(sK0_skl(u(X2,X0),u(X0,X1)),X1))),
% 27.83/4.04 inference(duplicate_literals_removal,[status(thm)],[f405])).
% 27.83/4.04 fof(f424,plain,(
% 27.83/4.04 ![X0,X1]: (subq(X0,u(X1,X0)))),
% 27.83/4.04 inference(duplicate_literals_removal,[status(thm)],[f408])).
% 27.83/4.04 fof(f431,plain,(
% 27.83/4.04 ![X0]: (~subq(X0,u(X0,X0))|X0=u(X0,X0))),
% 27.83/4.04 inference(resolution,[status(thm)],[f383,f36])).
% 27.83/4.04 fof(f450,plain,(
% 27.83/4.04 ![X0]: (X0=u(X0,X0))),
% 27.83/4.04 inference(forward_subsumption_resolution,[status(thm)],[f431,f424])).
% 27.83/4.04 fof(f518,plain,(
% 27.83/4.04 ![X0,X1]: (subq(u(e,X0),u(X1,X0)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f419,f44])).
% 27.83/4.04 fof(f545,plain,(
% 27.83/4.04 ![X0]: (subq(u(e,X0),X0))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f450,f518])).
% 27.83/4.04 fof(f551,plain,(
% 27.83/4.04 ![X0]: (~subq(X0,u(e,X0))|X0=u(e,X0))),
% 27.83/4.04 inference(resolution,[status(thm)],[f545,f36])).
% 27.83/4.04 fof(f562,plain,(
% 27.83/4.04 ![X0]: (X0=u(e,X0))),
% 27.83/4.04 inference(forward_subsumption_resolution,[status(thm)],[f551,f424])).
% 27.83/4.04 fof(f569,plain,(
% 27.83/4.04 ![X0]: (s(X0)=a(e,X0))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f59,f562])).
% 27.83/4.04 fof(f594,plain,(
% 27.83/4.04 s(e)=n(e)),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f60,f569])).
% 27.83/4.04 fof(f600,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(n(e)),n(n(e)))))|~mem(X0,u(s(n(e)),n(p(s(n(e))))))|mem(X0,n(p(s(n(e)))))|~subq(X0,u(n(e),n(s(s(e))))))),
% 27.83/4.04 inference(backward_demodulation,[status(thm)],[f594,f291])).
% 27.83/4.04 fof(f671,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(s(e)),n(n(e)))))|~mem(X0,u(s(n(e)),n(p(s(n(e))))))|mem(X0,n(p(s(n(e)))))|~subq(X0,u(n(e),n(s(s(e))))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f594,f600])).
% 27.83/4.04 fof(f672,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(s(e)),n(s(e)))))|~mem(X0,u(s(n(e)),n(p(s(n(e))))))|mem(X0,n(p(s(n(e)))))|~subq(X0,u(n(e),n(s(s(e))))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f594,f671])).
% 27.83/4.04 fof(f673,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(s(e)),n(s(e)))))|~mem(X0,u(s(s(e)),n(p(s(n(e))))))|mem(X0,n(p(s(n(e)))))|~subq(X0,u(n(e),n(s(s(e))))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f594,f672])).
% 27.83/4.04 fof(f674,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(s(e)),n(s(e)))))|~mem(X0,u(s(s(e)),n(p(s(s(e))))))|mem(X0,n(p(s(n(e)))))|~subq(X0,u(n(e),n(s(s(e))))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f594,f673])).
% 27.83/4.04 fof(f675,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(s(e)),n(s(e)))))|~mem(X0,u(s(s(e)),n(p(s(s(e))))))|mem(X0,n(p(s(s(e)))))|~subq(X0,u(n(e),n(s(s(e))))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f594,f674])).
% 27.83/4.04 fof(f676,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(a(s(s(e)),n(s(e)))))|~mem(X0,u(s(s(e)),n(p(s(s(e))))))|mem(X0,n(p(s(s(e)))))|~subq(X0,u(s(e),n(s(s(e))))))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f594,f675])).
% 27.83/4.04 fof(f1430,plain,(
% 27.83/4.04 ![X0,X1]: (subq(u(X0,e),u(X1,X0)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f421,f44])).
% 27.83/4.04 fof(f1459,plain,(
% 27.83/4.04 ![X0]: (subq(u(X0,e),X0))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f562,f1430])).
% 27.83/4.04 fof(f1460,plain,(
% 27.83/4.04 ![X0,X1]: (subq(u(s(X0),e),a(X1,X0)))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f59,f1430])).
% 27.83/4.04 fof(f1466,plain,(
% 27.83/4.04 ![X0]: (~subq(X0,u(X0,e))|X0=u(X0,e))),
% 27.83/4.04 inference(resolution,[status(thm)],[f1459,f36])).
% 27.83/4.04 fof(f1475,plain,(
% 27.83/4.04 ![X0]: (subq(u(s(X0),e),n(X0)))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f60,f1460])).
% 27.83/4.04 fof(f1520,plain,(
% 27.83/4.04 ![X0,X1]: (subq(u(X0,X1),u(X1,X0))|subq(u(X0,X1),u(X1,X0)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f197,f421])).
% 27.83/4.04 fof(f1522,plain,(
% 27.83/4.04 ![X0,X1]: (subq(u(X0,X0),u(X0,X1))|subq(u(X0,X0),u(X0,X1)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f197,f190])).
% 27.83/4.04 fof(f1537,plain,(
% 27.83/4.04 ![X0,X1]: (subq(u(X0,X1),u(X1,X0)))),
% 27.83/4.04 inference(duplicate_literals_removal,[status(thm)],[f1520])).
% 27.83/4.04 fof(f1539,plain,(
% 27.83/4.04 ![X0,X1]: (subq(X0,u(X0,X1))|subq(u(X0,X0),u(X0,X1)))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f450,f1522])).
% 27.83/4.04 fof(f1540,plain,(
% 27.83/4.04 ![X0,X1]: (subq(X0,u(X0,X1))|subq(X0,u(X0,X1)))),
% 27.83/4.04 inference(forward_demodulation,[status(thm)],[f450,f1539])).
% 27.83/4.04 fof(f1541,plain,(
% 27.83/4.04 ![X0]: (X0=u(X0,e))),
% 27.83/4.04 inference(backward_subsumption_resolution,[status(thm)],[f1466,f1542])).
% 27.83/4.04 fof(f1542,plain,(
% 27.83/4.04 ![X0,X1]: (subq(X0,u(X0,X1)))),
% 27.83/4.04 inference(duplicate_literals_removal,[status(thm)],[f1540])).
% 27.83/4.04 fof(f1554,plain,(
% 27.83/4.04 ![X0]: (subq(s(X0),n(X0)))),
% 27.83/4.04 inference(backward_demodulation,[status(thm)],[f1541,f1475])).
% 27.83/4.04 fof(f1630,plain,(
% 27.83/4.04 mem(s(e),s(a(s(s(e)),n(s(e)))))|~mem(s(e),u(s(s(e)),n(p(s(s(e))))))|mem(s(e),n(p(s(s(e)))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f1542,f676])).
% 27.83/4.04 fof(f1646,plain,(
% 27.83/4.04 ![X0,X1]: (~subq(u(X0,X1),u(X1,X0))|u(X0,X1)=u(X1,X0))),
% 27.83/4.04 inference(resolution,[status(thm)],[f1537,f36])).
% 27.83/4.04 fof(f1658,plain,(
% 27.83/4.04 ![X0,X1]: (u(X0,X1)=u(X1,X0))),
% 27.83/4.04 inference(forward_subsumption_resolution,[status(thm)],[f1646,f1537])).
% 27.83/4.04 fof(f1667,plain,(
% 27.83/4.04 ![X0,X1]: (a(X0,X1)=u(s(X1),X0))),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f59,f1658])).
% 27.83/4.04 fof(f1722,plain,(
% 27.83/4.04 mem(s(e),s(a(s(s(e)),n(s(e)))))|~mem(s(e),a(n(p(s(s(e)))),s(e)))|mem(s(e),n(p(s(s(e)))))),
% 27.83/4.04 inference(backward_demodulation,[status(thm)],[f1667,f1630])).
% 27.83/4.04 fof(f1786,plain,(
% 27.83/4.04 mem(s(e),s(a(s(s(e)),n(s(e)))))|mem(s(e),n(p(s(s(e)))))),
% 27.83/4.04 inference(forward_subsumption_resolution,[status(thm)],[f1722,f178])).
% 27.83/4.04 fof(f2056,plain,(
% 27.83/4.04 mem(s(e),n(p(s(s(e)))))|s(e)=a(s(s(e)),n(s(e)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f1786,f47])).
% 27.83/4.04 fof(f2057,plain,(
% 27.83/4.04 s(e)=a(s(s(e)),n(s(e)))|mem(s(e),p(s(s(e))))|mem(s(e),s(p(s(s(e)))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f2056,f185])).
% 27.83/4.04 fof(f2899,plain,(
% 27.83/4.04 s(e)=a(s(s(e)),n(s(e)))|mem(s(e),p(s(s(e))))|s(e)=p(s(s(e)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f2057,f47])).
% 27.83/4.04 fof(f2900,plain,(
% 27.83/4.04 s(e)=a(s(s(e)),n(s(e)))|s(e)=p(s(s(e)))|subq(s(e),s(s(e)))),
% 27.83/4.04 inference(resolution,[status(thm)],[f2899,f63])).
% 27.83/4.04 fof(f2901,plain,(
% 27.83/4.04 ![X0]: (s(e)=a(s(s(e)),n(s(e)))|s(e)=p(s(s(e)))|~mem(X0,s(e))|mem(X0,s(s(e))))),
% 27.83/4.04 inference(resolution,[status(thm)],[f2900,f32])).
% 27.83/4.04 fof(f2910,plain,(
% 27.83/4.04 ![X0]: (s(e)=a(s(s(e)),n(s(e)))|s(e)=p(s(s(e)))|~mem(X0,s(e))|X0=s(e))),
% 27.83/4.04 inference(resolution,[status(thm)],[f2901,f47])).
% 27.83/4.04 fof(f3784,plain,(
% 27.83/4.04 s(e)=a(s(s(e)),n(s(e)))|s(e)=p(s(s(e)))|e=s(e)),
% 27.83/4.04 inference(resolution,[status(thm)],[f2910,f170])).
% 27.83/4.04 fof(f3884,plain,(
% 27.83/4.04 mem(n(s(e)),s(e))|s(e)=p(s(s(e)))|e=s(e)),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f3784,f178])).
% 27.83/4.04 fof(f3913,plain,(
% 27.83/4.04 s(e)=p(s(s(e)))|e=s(e)|n(s(e))=e),
% 27.83/4.04 inference(resolution,[status(thm)],[f3884,f47])).
% 27.83/4.04 fof(f4548,plain,(
% 27.83/4.04 ![X0]: (mem(X0,s(e))|~subq(X0,s(s(e)))|e=s(e)|n(s(e))=e)),
% 27.83/4.04 inference(paramodulation,[status(thm)],[f3913,f64])).
% 27.83/4.04 fof(f4556,plain,(
% 27.83/4.04 mem(s(s(e)),s(e))|e=s(e)|n(s(e))=e),
% 27.83/4.04 inference(resolution,[status(thm)],[f4548,f199])).
% 27.83/4.04 fof(f4559,plain,(
% 27.83/4.04 e=s(e)|n(s(e))=e|s(s(e))=e),
% 27.83/4.04 inference(resolution,[status(thm)],[f4556,f47])).
% 27.83/4.04 fof(f4573,plain,(
% 27.83/4.09 subq(s(s(e)),e)|e=s(e)|s(s(e))=e),
% 27.83/4.09 inference(paramodulation,[status(thm)],[f4559,f1554])).
% 27.83/4.09 fof(f4584,plain,(
% 27.83/4.09 e=s(e)|s(s(e))=e),
% 27.83/4.09 inference(forward_subsumption_resolution,[status(thm)],[f4573,f217])).
% 27.83/4.09 fof(f5621,plain,(
% 27.83/4.09 mem(s(e),e)|e=s(e)),
% 27.83/4.09 inference(paramodulation,[status(thm)],[f4584,f170])).
% 27.83/4.09 fof(f5873,plain,(
% 27.83/4.09 e=s(e)),
% 27.83/4.09 inference(forward_subsumption_resolution,[status(thm)],[f5621,f44])).
% 27.83/4.09 fof(f9682,plain,(
% 27.83/4.09 mem(e,e)),
% 27.83/4.09 inference(paramodulation,[status(thm)],[f5873,f170])).
% 27.83/4.09 fof(f9768,plain,(
% 27.83/4.09 $false),
% 27.83/4.09 inference(forward_subsumption_resolution,[status(thm)],[f9682,f44])).
% 27.83/4.09 % SZS output end CNFRefutation for theBenchmark.p
% 23.11/4.12 % Elapsed time: 3.658996 seconds
% 23.11/4.12 % CPU time: 28.413181 seconds
% 23.11/4.12 % Total memory used: 333.022 MB
% 23.11/4.12 % Net memory used: 313.672 MB
%------------------------------------------------------------------------------