%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV572+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 : n017.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 40.38s 6.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV572+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
% 0.19/0.45 % Computer : n017.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 07:23:26 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 40.38/6.16 % Refutation found
% 40.38/6.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 40.38/6.16 % SZS output start CNFRefutation for theBenchmark
% 40.38/6.16 fof(f1,axiom,(
% 40.38/6.16 (! [X,Y] :( subq(X,Y)<=> (! [Z] :( mem(Z,X)=> mem(Z,Y) ) )) )),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f2,axiom,(
% 40.38/6.16 (! [X,Y] :( subq(X,Y)=> ( subq(Y,X)=> X = Y ) ) )),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f4,axiom,(
% 40.38/6.16 (! [X] : ~ mem(X,e) )),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f5,axiom,(
% 40.38/6.16 (! [X,Y] :( mem(X,s(Y))<=> X = Y ) )),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f6,axiom,(
% 40.38/6.16 (! [X,Y,Z] :( mem(X,u(Y,Z))<=> ( mem(X,Y)| mem(X,Z) ) ) )),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f8,axiom,(
% 40.38/6.16 (! [X,Y] : a(X,Y) = u(X,s(Y)) )),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f9,axiom,(
% 40.38/6.16 (! [X] : n(X) = a(X,X) )),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f26,conjecture,(
% 40.38/6.16 ~ subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))) ),
% 40.38/6.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.38/6.16 fof(f27,negated_conjecture,(
% 40.38/6.16 ~(~ subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))) )),
% 40.38/6.16 inference(negated_conjecture,[status(cth)],[f26])).
% 40.38/6.16 fof(f28,plain,(
% 40.38/6.16 ![X,Y]: (subq(X,Y)<=>(![Z]: (~mem(Z,X)|mem(Z,Y))))),
% 40.38/6.16 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 40.38/6.16 fof(f29,plain,(
% 40.38/6.16 ![X,Y]: ((~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y))))&(subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 40.38/6.16 inference(NNF_transformation,[status(thm)],[f28])).
% 40.38/6.16 fof(f30,plain,(
% 40.38/6.16 (![X,Y]: (~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y)))))&(![X,Y]: (subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 40.38/6.16 inference(miniscoping,[status(thm)],[f29])).
% 40.38/6.16 fof(f31,plain,(
% 40.38/6.16 (![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))))),
% 40.38/6.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f30])).
% 40.38/6.16 fof(f32,plain,(
% 40.38/6.16 ![X0,X1,X2]: (~subq(X0,X1)|~mem(X2,X0)|mem(X2,X1))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f31])).
% 40.38/6.16 fof(f33,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,X1)|mem(sK0_skl(X1,X0),X0))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f31])).
% 40.38/6.16 fof(f34,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,X1)|~mem(sK0_skl(X1,X0),X1))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f31])).
% 40.38/6.16 fof(f35,plain,(
% 40.38/6.16 ![X,Y]: (~subq(X,Y)|(~subq(Y,X)|X=Y))),
% 40.38/6.16 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 40.38/6.16 fof(f36,plain,(
% 40.38/6.16 ![X0,X1]: (~subq(X0,X1)|~subq(X1,X0)|X0=X1)),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f35])).
% 40.38/6.16 fof(f44,plain,(
% 40.38/6.16 ![X0]: (~mem(X0,e))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f4])).
% 40.38/6.16 fof(f45,plain,(
% 40.38/6.16 ![X,Y]: ((~mem(X,s(Y))|X=Y)&(mem(X,s(Y))|~X=Y))),
% 40.38/6.16 inference(NNF_transformation,[status(thm)],[f5])).
% 40.38/6.16 fof(f46,plain,(
% 40.38/6.16 (![X,Y]: (~mem(X,s(Y))|X=Y))&(![X,Y]: (mem(X,s(Y))|~X=Y))),
% 40.38/6.16 inference(miniscoping,[status(thm)],[f45])).
% 40.38/6.16 fof(f47,plain,(
% 40.38/6.16 ![X0,X1]: (~mem(X0,s(X1))|X0=X1)),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f46])).
% 40.38/6.16 fof(f48,plain,(
% 40.38/6.16 ![X0,X1]: (mem(X0,s(X1))|~X0=X1)),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f46])).
% 40.38/6.16 fof(f49,plain,(
% 40.38/6.16 ![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))))),
% 40.38/6.16 inference(NNF_transformation,[status(thm)],[f6])).
% 40.38/6.16 fof(f50,plain,(
% 40.38/6.16 (![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))))),
% 40.38/6.16 inference(miniscoping,[status(thm)],[f49])).
% 40.38/6.16 fof(f51,plain,(
% 40.38/6.16 ![X0,X1,X2]: (~mem(X0,u(X1,X2))|mem(X0,X1)|mem(X0,X2))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f50])).
% 40.38/6.16 fof(f52,plain,(
% 40.38/6.16 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X1))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f50])).
% 40.38/6.16 fof(f53,plain,(
% 40.38/6.16 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X2))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f50])).
% 40.38/6.16 fof(f59,plain,(
% 40.38/6.16 ![X0,X1]: (a(X0,X1)=u(X0,s(X1)))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f8])).
% 40.38/6.16 fof(f60,plain,(
% 40.38/6.16 ![X0]: (n(X0)=a(X0,X0))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f9])).
% 40.38/6.16 fof(f169,plain,(
% 40.38/6.16 subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))))),
% 40.38/6.16 inference(cnf_transformation,[status(thm)],[f27])).
% 40.38/6.16 fof(f170,plain,(
% 40.38/6.16 ![X0]: (mem(X0,s(X0)))),
% 40.38/6.16 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 40.38/6.16 fof(f171,plain,(
% 40.38/6.16 subq(a(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),a(s(s(n(e))),n(n(e)))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))))),
% 40.38/6.16 inference(forward_demodulation,[status(thm)],[f59,f169])).
% 40.38/6.16 fof(f174,plain,(
% 40.38/6.16 ![X0,X1,X2]: (mem(X0,a(X1,X2))|~mem(X0,X1))),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f59,f52])).
% 40.38/6.16 fof(f175,plain,(
% 40.38/6.16 ![X0,X1,X2]: (mem(X0,a(X1,X2))|~mem(X0,s(X2)))),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f59,f53])).
% 40.38/6.16 fof(f176,plain,(
% 40.38/6.16 ![X0,X1]: (mem(X0,n(X1))|~mem(X0,X1))),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f60,f174])).
% 40.38/6.16 fof(f177,plain,(
% 40.38/6.16 ![X0,X1]: (mem(X0,a(X1,X0)))),
% 40.38/6.16 inference(resolution,[status(thm)],[f175,f170])).
% 40.38/6.16 fof(f178,plain,(
% 40.38/6.16 ![X0]: (mem(X0,n(X0)))),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f60,f177])).
% 40.38/6.16 fof(f181,plain,(
% 40.38/6.16 ![X0,X1,X2]: (~mem(X0,a(X1,X2))|mem(X0,X1)|mem(X0,s(X2)))),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f59,f51])).
% 40.38/6.16 fof(f182,plain,(
% 40.38/6.16 ![X0]: (~mem(X0,a(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),a(s(s(n(e))),n(n(e)))))|mem(X0,u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f32,f171])).
% 40.38/6.16 fof(f183,plain,(
% 40.38/6.16 ![X0,X1,X2]: (subq(u(X0,X1),X2)|mem(sK0_skl(X2,u(X0,X1)),X0)|mem(sK0_skl(X2,u(X0,X1)),X1))),
% 40.38/6.16 inference(resolution,[status(thm)],[f33,f51])).
% 40.38/6.16 fof(f186,plain,(
% 40.38/6.16 ![X0]: (subq(e,X0))),
% 40.38/6.16 inference(resolution,[status(thm)],[f33,f44])).
% 40.38/6.16 fof(f188,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,n(X1))|~mem(sK0_skl(n(X1),X0),X1))),
% 40.38/6.16 inference(resolution,[status(thm)],[f34,f176])).
% 40.38/6.16 fof(f190,plain,(
% 40.38/6.16 ![X0,X1,X2]: (subq(X0,u(X1,X2))|~mem(sK0_skl(u(X1,X2),X0),X2))),
% 40.38/6.16 inference(resolution,[status(thm)],[f34,f53])).
% 40.38/6.16 fof(f191,plain,(
% 40.38/6.16 ![X0,X1,X2]: (subq(X0,u(X1,X2))|~mem(sK0_skl(u(X1,X2),X0),X1))),
% 40.38/6.16 inference(resolution,[status(thm)],[f34,f52])).
% 40.38/6.16 fof(f194,plain,(
% 40.38/6.16 ![X0]: (~mem(X0,a(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),a(s(s(n(e))),n(n(e)))))|mem(X0,a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))))|mem(X0,a(s(n(n(e))),a(s(s(n(e))),n(n(e))))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f182,f51])).
% 40.38/6.16 fof(f197,plain,(
% 40.38/6.16 ![X0]: (mem(X0,a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))))|mem(X0,a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))|~mem(X0,u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e)))))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f194,f174])).
% 40.38/6.16 fof(f199,plain,(
% 40.38/6.16 ![X0]: (mem(X0,a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))))|mem(X0,a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))|~mem(X0,n(a(n(e),n(n(e))))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f197,f53])).
% 40.38/6.16 fof(f206,plain,(
% 40.38/6.16 ![X0]: (~subq(X0,e)|X0=e)),
% 40.38/6.16 inference(resolution,[status(thm)],[f186,f36])).
% 40.38/6.16 fof(f213,plain,(
% 40.38/6.16 ![X0]: (subq(X0,n(X0))|subq(X0,n(X0)))),
% 40.38/6.16 inference(resolution,[status(thm)],[f188,f33])).
% 40.38/6.16 fof(f220,plain,(
% 40.38/6.16 ![X0]: (subq(X0,n(X0)))),
% 40.38/6.16 inference(duplicate_literals_removal,[status(thm)],[f213])).
% 40.38/6.16 fof(f222,plain,(
% 40.38/6.16 ![X0]: (~subq(n(X0),X0)|n(X0)=X0)),
% 40.38/6.16 inference(resolution,[status(thm)],[f220,f36])).
% 40.38/6.16 fof(f224,plain,(
% 40.38/6.16 ![X0]: (mem(X0,u(s(s(s(n(e)))),n(n(s(n(e))))))|mem(X0,s(a(n(e),n(n(e)))))|mem(X0,a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))|~mem(X0,n(a(n(e),n(n(e))))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f181,f199])).
% 40.38/6.16 fof(f227,plain,(
% 40.38/6.16 ![X0,X1]: (~mem(X0,n(X1))|mem(X0,X1)|mem(X0,s(X1)))),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f60,f181])).
% 40.38/6.16 fof(f232,plain,(
% 40.38/6.16 ![X0]: (subq(u(X0,X0),X0)|subq(u(X0,X0),X0))),
% 40.38/6.16 inference(resolution,[status(thm)],[f183,f34])).
% 40.38/6.16 fof(f264,plain,(
% 40.38/6.16 ![X0]: (subq(u(X0,X0),X0))),
% 40.38/6.16 inference(duplicate_literals_removal,[status(thm)],[f232])).
% 40.38/6.16 fof(f287,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,u(X1,X0))|subq(X0,u(X1,X0)))),
% 40.38/6.16 inference(resolution,[status(thm)],[f190,f33])).
% 40.38/6.16 fof(f299,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,u(X1,X0)))),
% 40.38/6.16 inference(duplicate_literals_removal,[status(thm)],[f287])).
% 40.38/6.16 fof(f306,plain,(
% 40.38/6.16 ![X0]: (~subq(X0,u(X0,X0))|X0=u(X0,X0))),
% 40.38/6.16 inference(resolution,[status(thm)],[f264,f36])).
% 40.38/6.16 fof(f319,plain,(
% 40.38/6.16 ![X0]: (X0=u(X0,X0))),
% 40.38/6.16 inference(forward_subsumption_resolution,[status(thm)],[f306,f299])).
% 40.38/6.16 fof(f374,plain,(
% 40.38/6.16 ![X0]: (mem(X0,u(s(s(s(n(e)))),n(n(s(n(e))))))|mem(X0,s(a(n(e),n(n(e)))))|~mem(X0,n(a(n(e),n(n(e)))))|mem(X0,s(n(n(e))))|mem(X0,s(a(s(s(n(e))),n(n(e))))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f224,f181])).
% 40.38/6.16 fof(f378,plain,(
% 40.38/6.16 ![X0]: (mem(X0,s(a(n(e),n(n(e)))))|~mem(X0,n(a(n(e),n(n(e)))))|mem(X0,s(n(n(e))))|mem(X0,s(a(s(s(n(e))),n(n(e)))))|mem(X0,s(s(s(n(e)))))|mem(X0,n(n(s(n(e))))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f374,f51])).
% 40.38/6.16 fof(f383,plain,(
% 40.38/6.16 ![X0]: (mem(X0,s(a(n(e),n(n(e)))))|~mem(X0,n(a(n(e),n(n(e)))))|mem(X0,s(n(n(e))))|mem(X0,s(s(s(n(e)))))|mem(X0,n(n(s(n(e)))))|X0=a(s(s(n(e))),n(n(e))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f378,f47])).
% 40.38/6.16 fof(f394,plain,(
% 40.38/6.16 ![X0]: (~mem(X0,n(a(n(e),n(n(e)))))|mem(X0,s(n(n(e))))|mem(X0,s(s(s(n(e)))))|mem(X0,n(n(s(n(e)))))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f383,f47])).
% 40.38/6.16 fof(f454,plain,(
% 40.38/6.16 ![X0,X1]: (subq(u(X0,X0),u(X0,X1))|subq(u(X0,X0),u(X0,X1)))),
% 40.38/6.16 inference(resolution,[status(thm)],[f191,f183])).
% 40.38/6.16 fof(f471,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,u(X0,X1))|subq(u(X0,X0),u(X0,X1)))),
% 40.38/6.16 inference(forward_demodulation,[status(thm)],[f319,f454])).
% 40.38/6.16 fof(f472,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,u(X0,X1))|subq(X0,u(X0,X1)))),
% 40.38/6.16 inference(forward_demodulation,[status(thm)],[f319,f471])).
% 40.38/6.16 fof(f473,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,u(X0,X1)))),
% 40.38/6.16 inference(duplicate_literals_removal,[status(thm)],[f472])).
% 40.38/6.16 fof(f556,plain,(
% 40.38/6.16 ![X0,X1]: (subq(X0,a(X0,X1)))),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f59,f473])).
% 40.38/6.16 fof(f628,plain,(
% 40.38/6.16 ![X0]: (mem(X0,s(n(n(e))))|mem(X0,s(s(s(n(e)))))|mem(X0,n(n(s(n(e)))))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e)))|~mem(X0,a(n(e),n(n(e)))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f394,f176])).
% 40.38/6.16 fof(f665,plain,(
% 40.38/6.16 ![X0]: (mem(X0,s(n(n(e))))|mem(X0,s(s(s(n(e)))))|mem(X0,n(n(s(n(e)))))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e)))|~mem(X0,n(e)))),
% 40.38/6.16 inference(resolution,[status(thm)],[f628,f174])).
% 40.38/6.16 fof(f696,plain,(
% 40.38/6.16 ![X0]: (mem(X0,s(n(n(e))))|mem(X0,n(n(s(n(e)))))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e)))|~mem(X0,n(e))|X0=s(s(n(e))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f665,f47])).
% 40.38/6.16 fof(f739,plain,(
% 40.38/6.16 ![X0,X1]: (~mem(X0,n(X1))|mem(X0,X1)|X0=X1)),
% 40.38/6.16 inference(resolution,[status(thm)],[f227,f47])).
% 40.38/6.16 fof(f754,plain,(
% 40.38/6.16 ![X0]: (mem(X0,n(s(n(e))))|X0=n(s(n(e)))|mem(X0,s(n(n(e))))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e)))|~mem(X0,n(e))|X0=s(s(n(e))))),
% 40.38/6.16 inference(resolution,[status(thm)],[f739,f696])).
% 40.38/6.16 fof(f999,plain,(
% 40.38/6.16 ![X0]: (mem(X0,n(s(n(e))))|X0=n(s(n(e)))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e)))|~mem(X0,n(e))|X0=s(s(n(e)))|X0=n(n(e)))),
% 40.38/6.16 inference(resolution,[status(thm)],[f754,f47])).
% 40.38/6.16 fof(f1012,plain,(
% 40.38/6.16 ![X0]: (X0=n(s(n(e)))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e)))|~mem(X0,n(e))|X0=s(s(n(e)))|X0=n(n(e))|mem(X0,s(n(e)))|X0=s(n(e)))),
% 40.38/6.16 inference(resolution,[status(thm)],[f999,f739])).
% 40.38/6.16 fof(f1188,plain,(
% 40.38/6.16 ![X0]: (X0=n(s(n(e)))|X0=a(s(s(n(e))),n(n(e)))|X0=a(n(e),n(n(e)))|~mem(X0,n(e))|X0=s(s(n(e)))|X0=n(n(e))|X0=s(n(e))|X0=n(e))),
% 40.38/6.16 inference(resolution,[status(thm)],[f1012,f47])).
% 40.38/6.16 fof(f1486,plain,(
% 40.38/6.16 e=n(s(n(e)))|e=a(s(s(n(e))),n(n(e)))|e=a(n(e),n(n(e)))|e=s(s(n(e)))|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.16 inference(resolution,[status(thm)],[f1188,f178])).
% 40.38/6.16 fof(f1566,plain,(
% 40.38/6.16 subq(s(s(n(e))),e)|e=n(s(n(e)))|e=a(n(e),n(n(e)))|e=s(s(n(e)))|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.16 inference(paramodulation,[status(thm)],[f1486,f556])).
% 40.38/6.16 fof(f1575,plain,(
% 40.38/6.16 e=n(s(n(e)))|e=a(n(e),n(n(e)))|e=s(s(n(e)))|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.16 inference(forward_subsumption_resolution,[status(thm)],[f1566,f206])).
% 40.38/6.16 fof(f1610,plain,(
% 40.38/6.16 subq(n(e),e)|e=n(s(n(e)))|e=s(s(n(e)))|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.18 inference(paramodulation,[status(thm)],[f1575,f556])).
% 40.38/6.18 fof(f1619,plain,(
% 40.38/6.18 e=n(s(n(e)))|e=s(s(n(e)))|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.18 inference(forward_subsumption_resolution,[status(thm)],[f1610,f222])).
% 40.38/6.18 fof(f1692,plain,(
% 40.38/6.18 mem(s(n(e)),e)|e=n(s(n(e)))|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.18 inference(paramodulation,[status(thm)],[f1619,f170])).
% 40.38/6.18 fof(f1696,plain,(
% 40.38/6.18 e=n(s(n(e)))|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.18 inference(forward_subsumption_resolution,[status(thm)],[f1692,f44])).
% 40.38/6.18 fof(f2331,plain,(
% 40.38/6.18 subq(s(n(e)),e)|e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.18 inference(paramodulation,[status(thm)],[f1696,f220])).
% 40.38/6.18 fof(f2342,plain,(
% 40.38/6.18 e=n(n(e))|e=s(n(e))|e=n(e)),
% 40.38/6.18 inference(forward_subsumption_resolution,[status(thm)],[f2331,f206])).
% 40.38/6.18 fof(f2447,plain,(
% 40.38/6.18 mem(n(e),e)|e=n(n(e))|e=n(e)),
% 40.38/6.18 inference(paramodulation,[status(thm)],[f2342,f170])).
% 40.38/6.18 fof(f2454,plain,(
% 40.38/6.18 e=n(n(e))|e=n(e)),
% 40.38/6.18 inference(forward_subsumption_resolution,[status(thm)],[f2447,f44])).
% 40.38/6.18 fof(f2524,plain,(
% 40.38/6.18 subq(n(e),e)|e=n(e)),
% 40.38/6.18 inference(paramodulation,[status(thm)],[f2454,f220])).
% 40.38/6.18 fof(f2871,plain,(
% 40.38/6.18 e=n(e)),
% 40.38/6.18 inference(forward_subsumption_resolution,[status(thm)],[f2524,f222])).
% 40.38/6.18 fof(f12964,plain,(
% 40.38/6.18 mem(e,e)),
% 40.38/6.18 inference(paramodulation,[status(thm)],[f2871,f178])).
% 40.38/6.18 fof(f13085,plain,(
% 40.38/6.18 $false),
% 40.38/6.18 inference(forward_subsumption_resolution,[status(thm)],[f12964,f44])).
% 40.38/6.18 % SZS output end CNFRefutation for theBenchmark.p
% 33.55/6.30 % Elapsed time: 5.817123 seconds
% 33.55/6.30 % CPU time: 45.009127 seconds
% 33.55/6.30 % Total memory used: 398.153 MB
% 33.55/6.30 % Net memory used: 379.635 MB
%------------------------------------------------------------------------------