%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET791+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:12:36 PM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET791+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:38:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.46 % Refutation found
% 0.10/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.46 fof(f1,axiom,(
% 0.10/0.46 (! [R,E] :( order(R,E)<=> ( (! [X] :( member(X,E)=> apply(R,X,X) ))& (! [X,Y] :( ( member(X,E)& member(Y,E) )=> ( ( apply(R,X,Y)& apply(R,Y,X) )=> X = Y ) ))& (! [X,Y,Z] :( ( member(X,E)& member(Y,E)& member(Z,E) )=> ( ( apply(R,X,Y)& apply(R,Y,Z) )=> apply(R,X,Z) ) ) )) ) )),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f3,axiom,(
% 0.10/0.46 (! [R,E,M] :( upper_bound(M,R,E)<=> (! [X] :( member(X,E)=> apply(R,X,M) ) )) )),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f5,axiom,(
% 0.10/0.46 (! [R,E,M] :( greatest(M,R,E)<=> ( member(M,E)& (! [X] :( member(X,E)=> apply(R,X,M) ) )) ) )),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f7,axiom,(
% 0.10/0.46 (! [R,E,M] :( max(M,R,E)<=> ( member(M,E)& (! [X] :( ( member(X,E)& apply(R,M,X) )=> M = X ) )) ) )),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f11,conjecture,(
% 0.10/0.46 (! [R,E,M] :( ( order(R,E)& greatest(M,R,E) )=> max(M,R,E) ) )),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f12,negated_conjecture,(
% 0.10/0.46 ~((! [R,E,M] :( ( order(R,E)& greatest(M,R,E) )=> max(M,R,E) ) ))),
% 0.10/0.46 inference(negated_conjecture,[status(cth)],[f11])).
% 0.10/0.46 fof(f13,plain,(
% 0.10/0.46 ![R,E]: (order(R,E)<=>(((![X]: (~member(X,E)|apply(R,X,X)))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))),
% 0.10/0.46 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.46 fof(f14,definition,(
% 0.10/0.46 ![R,E]: (sP0_prd(E,R)<=>((![X]: (~member(X,E)|apply(R,X,X)))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))),
% 0.10/0.46 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.46 fof(f15,plain,(
% 0.10/0.46 ![R,E]: (order(R,E)<=>(sP0_prd(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))),
% 0.10/0.46 inference(formula_renaming,[status(thm)],[f13,f14])).
% 0.10/0.46 fof(f16,plain,(
% 0.10/0.46 ![R,E]: ((~order(R,E)|(sP0_prd(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))&(order(R,E)|(~sP0_prd(E,R)|(?[X,Y,Z]: (((member(X,E)&member(Y,E))&member(Z,E))&((apply(R,X,Y)&apply(R,Y,Z))&~apply(R,X,Z)))))))),
% 0.10/0.46 inference(NNF_transformation,[status(thm)],[f15])).
% 0.10/0.46 fof(f17,plain,(
% 0.10/0.46 (![R,E]: (~order(R,E)|(sP0_prd(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z)))))))&(![R,E]: (order(R,E)|(~sP0_prd(E,R)|(?[X,Y,Z]: (((member(X,E)&member(Y,E))&member(Z,E))&((apply(R,X,Y)&apply(R,Y,Z))&~apply(R,X,Z)))))))),
% 0.10/0.46 inference(miniscoping,[status(thm)],[f16])).
% 0.10/0.46 fof(f18,plain,(
% 0.10/0.46 (![R,E]: (~order(R,E)|(sP0_prd(E,R)&(![X,Y,Z]: (((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z)))))))&(![R,E]: (order(R,E)|(~sP0_prd(E,R)|(((member(sK0_skl(E,R),E)&member(sK1_skl(E,R),E))&member(sK2_skl(E,R),E))&((apply(R,sK0_skl(E,R),sK1_skl(E,R))&apply(R,sK1_skl(E,R),sK2_skl(E,R)))&~apply(R,sK0_skl(E,R),sK2_skl(E,R)))))))),
% 0.10/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl(E,R)),skolemize(Y,sK1_skl(E,R)),skolemize(Z,sK2_skl(E,R))],[f17])).
% 0.10/0.46 fof(f19,plain,(
% 0.10/0.46 ![X0,X1]: (~order(X0,X1)|sP0_prd(X1,X0))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.46 fof(f20,plain,(
% 0.10/0.46 ![X0,X1,X2,X3,X4]: (~order(X0,X1)|~member(X2,X1)|~member(X3,X1)|~member(X4,X1)|~apply(X0,X2,X3)|~apply(X0,X3,X4)|apply(X0,X2,X4))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.46 fof(f37,plain,(
% 0.10/0.46 ![R,E,M]: (upper_bound(M,R,E)<=>(![X]: (~member(X,E)|apply(R,X,M))))),
% 0.10/0.46 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.46 fof(f38,plain,(
% 0.10/0.46 ![R,E,M]: ((~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M))))&(upper_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,X,M)))))),
% 0.10/0.46 inference(NNF_transformation,[status(thm)],[f37])).
% 0.10/0.46 fof(f39,plain,(
% 0.10/0.46 (![R,E,M]: (~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M)))))&(![R,E,M]: (upper_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,X,M)))))),
% 0.10/0.46 inference(miniscoping,[status(thm)],[f38])).
% 0.10/0.46 fof(f40,plain,(
% 0.10/0.46 (![R,E,M]: (~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M)))))&(![R,E,M]: (upper_bound(M,R,E)|(member(sK5_skl(M,E,R),E)&~apply(R,sK5_skl(M,E,R),M))))),
% 0.10/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(X,sK5_skl(M,E,R))],[f39])).
% 0.10/0.46 fof(f41,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (~upper_bound(X0,X1,X2)|~member(X3,X2)|apply(X1,X3,X0))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.46 fof(f42,plain,(
% 0.10/0.46 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|member(sK5_skl(X0,X2,X1),X2))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.46 fof(f43,plain,(
% 0.10/0.46 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~apply(X1,sK5_skl(X0,X2,X1),X0))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.46 fof(f51,plain,(
% 0.10/0.46 ![R,E,M]: (greatest(M,R,E)<=>(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M)))))),
% 0.10/0.46 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.46 fof(f52,plain,(
% 0.10/0.46 ![R,E,M]: ((~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M)))))&(greatest(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,X,M))))))),
% 0.10/0.46 inference(NNF_transformation,[status(thm)],[f51])).
% 0.10/0.46 fof(f53,plain,(
% 0.10/0.46 (![R,E,M]: (~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M))))))&(![R,E,M]: (greatest(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,X,M))))))),
% 0.10/0.46 inference(miniscoping,[status(thm)],[f52])).
% 0.10/0.46 fof(f54,plain,(
% 0.10/0.46 (![R,E,M]: (~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M))))))&(![R,E,M]: (greatest(M,R,E)|(~member(M,E)|(member(sK7_skl(M,E,R),E)&~apply(R,sK7_skl(M,E,R),M)))))),
% 0.10/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl(M,E,R))],[f53])).
% 0.10/0.46 fof(f55,plain,(
% 0.10/0.46 ![X0,X1,X2]: (~greatest(X0,X1,X2)|member(X0,X2))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f54])).
% 0.10/0.46 fof(f56,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (~greatest(X0,X1,X2)|~member(X3,X2)|apply(X1,X3,X0))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f54])).
% 0.10/0.46 fof(f67,plain,(
% 0.10/0.46 ![R,E,M]: (max(M,R,E)<=>(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))),
% 0.10/0.46 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.10/0.46 fof(f68,plain,(
% 0.10/0.46 ![R,E,M]: ((~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))&(max(M,R,E)|(~member(M,E)|(?[X]: ((member(X,E)&apply(R,M,X))&~M=X)))))),
% 0.10/0.46 inference(NNF_transformation,[status(thm)],[f67])).
% 0.10/0.46 fof(f69,plain,(
% 0.10/0.46 (![R,E,M]: (~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X)))))&(![R,E,M]: (max(M,R,E)|(~member(M,E)|(?[X]: ((member(X,E)&apply(R,M,X))&~M=X)))))),
% 0.10/0.46 inference(miniscoping,[status(thm)],[f68])).
% 0.10/0.46 fof(f70,plain,(
% 0.10/0.46 (![R,E,M]: (~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X)))))&(![R,E,M]: (max(M,R,E)|(~member(M,E)|((member(sK9_skl(M,E,R),E)&apply(R,M,sK9_skl(M,E,R)))&~M=sK9_skl(M,E,R)))))),
% 0.10/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(X,sK9_skl(M,E,R))],[f69])).
% 0.10/0.46 fof(f73,plain,(
% 0.10/0.46 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|member(sK9_skl(X0,X2,X1),X2))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.46 fof(f74,plain,(
% 0.10/0.46 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|apply(X1,X0,sK9_skl(X0,X2,X1)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.46 fof(f75,plain,(
% 0.10/0.46 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|~X0=sK9_skl(X0,X2,X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.46 fof(f105,plain,(
% 0.10/0.46 (?[R,E,M]: ((order(R,E)&greatest(M,R,E))&~max(M,R,E)))),
% 0.10/0.46 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.10/0.46 fof(f106,plain,(
% 0.10/0.46 ((order(sK13_skl,sK14_skl)&greatest(sK15_skl,sK13_skl,sK14_skl))&~max(sK15_skl,sK13_skl,sK14_skl))),
% 0.10/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(R,sK13_skl),skolemize(E,sK14_skl),skolemize(M,sK15_skl)],[f105])).
% 0.10/0.46 fof(f107,plain,(
% 0.10/0.46 order(sK13_skl,sK14_skl)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.46 fof(f108,plain,(
% 0.10/0.46 greatest(sK15_skl,sK13_skl,sK14_skl)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.46 fof(f109,plain,(
% 0.10/0.46 ~max(sK15_skl,sK13_skl,sK14_skl)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.46 fof(f110,definition,(
% 0.10/0.46 ![R,E,X]: (sP1_prd(X,E,R)<=>(~member(X,E)|apply(R,X,X)))),
% 0.10/0.46 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.10/0.46 fof(f111,plain,(
% 0.10/0.46 ![R,E]: (sP0_prd(E,R)<=>((![X]: sP1_prd(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))),
% 0.10/0.46 inference(formula_renaming,[status(thm)],[f14,f110])).
% 0.10/0.46 fof(f112,plain,(
% 0.10/0.46 ![R,E]: ((~sP0_prd(E,R)|((![X]: sP1_prd(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))&(sP0_prd(E,R)|((?[X]: ~sP1_prd(X,E,R))|(?[X,Y]: ((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&~X=Y))))))),
% 0.10/0.46 inference(NNF_transformation,[status(thm)],[f111])).
% 0.10/0.46 fof(f113,plain,(
% 0.10/0.46 (![R,E]: (~sP0_prd(E,R)|((![X]: sP1_prd(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))))&(![R,E]: (sP0_prd(E,R)|((?[X]: ~sP1_prd(X,E,R))|(?[X,Y]: ((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&~X=Y))))))),
% 0.10/0.46 inference(miniscoping,[status(thm)],[f112])).
% 0.10/0.46 fof(f114,plain,(
% 0.10/0.46 (![R,E]: (~sP0_prd(E,R)|((![X]: sP1_prd(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))))&(![R,E]: (sP0_prd(E,R)|(~sP1_prd(sK16_skl(E,R),E,R)|((member(sK17_skl(E,R),E)&member(sK18_skl(E,R),E))&((apply(R,sK17_skl(E,R),sK18_skl(E,R))&apply(R,sK18_skl(E,R),sK17_skl(E,R)))&~sK17_skl(E,R)=sK18_skl(E,R))))))),
% 0.10/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl,sK18_skl]),skolemize(X,sK16_skl(E,R)),skolemize(X,sK17_skl(E,R)),skolemize(Y,sK18_skl(E,R))],[f113])).
% 0.10/0.46 fof(f115,plain,(
% 0.10/0.46 ![X0,X1,X2]: (~sP0_prd(X0,X1)|sP1_prd(X2,X0,X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f114])).
% 0.10/0.46 fof(f116,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1)|~member(X2,X0)|~member(X3,X0)|~apply(X1,X2,X3)|~apply(X1,X3,X2)|X2=X3)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f114])).
% 0.10/0.46 fof(f122,plain,(
% 0.10/0.46 ![R,E,X]: ((~sP1_prd(X,E,R)|(~member(X,E)|apply(R,X,X)))&(sP1_prd(X,E,R)|(member(X,E)&~apply(R,X,X))))),
% 0.10/0.46 inference(NNF_transformation,[status(thm)],[f110])).
% 0.10/0.46 fof(f123,plain,(
% 0.10/0.46 (![R,E,X]: (~sP1_prd(X,E,R)|(~member(X,E)|apply(R,X,X))))&(![R,E,X]: (sP1_prd(X,E,R)|(member(X,E)&~apply(R,X,X))))),
% 0.10/0.46 inference(miniscoping,[status(thm)],[f122])).
% 0.10/0.46 fof(f124,plain,(
% 0.10/0.46 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~member(X0,X1)|apply(X2,X0,X0))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f123])).
% 0.10/0.46 fof(f127,plain,(
% 0.10/0.46 sP0_prd(sK14_skl,sK13_skl)),
% 0.10/0.46 inference(resolution,[status(thm)],[f19,f107])).
% 0.10/0.46 fof(f128,plain,(
% 0.10/0.46 member(sK15_skl,sK14_skl)),
% 0.10/0.46 inference(resolution,[status(thm)],[f55,f108])).
% 0.10/0.46 fof(f130,plain,(
% 0.10/0.46 ![X0,X1,X2,X3,X4]: (upper_bound(X0,X1,X2)|~order(X1,X3)|~member(sK5_skl(X0,X2,X1),X3)|~member(X4,X3)|~member(X0,X3)|~apply(X1,sK5_skl(X0,X2,X1),X4)|~apply(X1,X4,X0))),
% 0.10/0.46 inference(resolution,[status(thm)],[f43,f20])).
% 0.10/0.46 fof(f131,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (upper_bound(X0,X1,X2)|~greatest(X0,X1,X3)|~member(sK5_skl(X0,X2,X1),X3))),
% 0.10/0.46 inference(resolution,[status(thm)],[f43,f56])).
% 0.10/0.46 fof(f132,plain,(
% 0.10/0.46 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~greatest(X0,X1,X2)|upper_bound(X0,X1,X2))),
% 0.10/0.46 inference(resolution,[status(thm)],[f131,f42])).
% 0.10/0.46 fof(f133,plain,(
% 0.10/0.46 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~greatest(X0,X1,X2))),
% 0.10/0.46 inference(duplicate_literals_removal,[status(thm)],[f132])).
% 0.10/0.46 fof(f134,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (upper_bound(X0,X1,X2)|~order(X1,X2)|~member(X3,X2)|~member(X0,X2)|~apply(X1,sK5_skl(X0,X2,X1),X3)|~apply(X1,X3,X0)|upper_bound(X0,X1,X2))),
% 0.10/0.46 inference(resolution,[status(thm)],[f130,f42])).
% 0.10/0.46 fof(f135,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (upper_bound(X0,X1,X2)|~order(X1,X2)|~member(X3,X2)|~member(X0,X2)|~apply(X1,sK5_skl(X0,X2,X1),X3)|~apply(X1,X3,X0))),
% 0.10/0.46 inference(duplicate_literals_removal,[status(thm)],[f134])).
% 0.10/0.46 fof(f136,plain,(
% 0.10/0.46 ![X0,X1]: (upper_bound(X0,sK13_skl,sK14_skl)|~member(X1,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,sK5_skl(X0,sK14_skl,sK13_skl),X1)|~apply(sK13_skl,X1,X0))),
% 0.10/0.46 inference(resolution,[status(thm)],[f135,f107])).
% 0.10/0.46 fof(f137,plain,(
% 0.10/0.46 ![X0,X1,X2]: (upper_bound(X0,sK13_skl,sK14_skl)|~member(X1,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,X1,X0)|~upper_bound(X1,sK13_skl,X2)|~member(sK5_skl(X0,sK14_skl,sK13_skl),X2))),
% 0.10/0.46 inference(resolution,[status(thm)],[f136,f41])).
% 0.10/0.46 fof(f140,plain,(
% 0.10/0.46 ![X0,X1]: (upper_bound(X0,sK13_skl,sK14_skl)|~member(X1,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,X1,X0)|~upper_bound(X1,sK13_skl,sK14_skl)|upper_bound(X0,sK13_skl,sK14_skl))),
% 0.10/0.46 inference(resolution,[status(thm)],[f137,f42])).
% 0.10/0.46 fof(f141,plain,(
% 0.10/0.46 ![X0,X1]: (upper_bound(X0,sK13_skl,sK14_skl)|~member(X1,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,X1,X0)|~upper_bound(X1,sK13_skl,sK14_skl))),
% 0.10/0.46 inference(duplicate_literals_removal,[status(thm)],[f140])).
% 0.10/0.46 fof(f142,plain,(
% 0.10/0.46 ![X0,X1]: (upper_bound(X0,sK13_skl,sK14_skl)|~member(X1,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,X1,X0)|~greatest(X1,sK13_skl,sK14_skl))),
% 0.10/0.46 inference(resolution,[status(thm)],[f141,f133])).
% 0.10/0.46 fof(f143,plain,(
% 0.10/0.46 ![X0,X1]: (upper_bound(X0,sK13_skl,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,X1,X0)|~greatest(X1,sK13_skl,sK14_skl))),
% 0.10/0.46 inference(forward_subsumption_resolution,[status(thm)],[f142,f55])).
% 0.10/0.46 fof(f144,plain,(
% 0.10/0.46 ![X0]: (upper_bound(X0,sK13_skl,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,sK15_skl,X0))),
% 0.10/0.46 inference(resolution,[status(thm)],[f143,f108])).
% 0.10/0.46 fof(f164,plain,(
% 0.10/0.46 ![X0]: (~sP1_prd(sK15_skl,X0,sK13_skl)|~member(sK15_skl,X0)|upper_bound(sK15_skl,sK13_skl,sK14_skl)|~member(sK15_skl,sK14_skl))),
% 0.10/0.46 inference(resolution,[status(thm)],[f124,f144])).
% 0.10/0.46 fof(f167,plain,(
% 0.10/0.46 ![X0]: (~sP1_prd(sK15_skl,X0,sK13_skl)|~member(sK15_skl,X0)|upper_bound(sK15_skl,sK13_skl,sK14_skl))),
% 0.10/0.46 inference(forward_subsumption_resolution,[status(thm)],[f164,f128])).
% 0.10/0.46 fof(f331,plain,(
% 0.10/0.46 ![X0,X1]: (~member(X0,sK14_skl)|~member(X1,sK14_skl)|~apply(sK13_skl,X0,X1)|~apply(sK13_skl,X1,X0)|X0=X1)),
% 0.10/0.46 inference(resolution,[status(thm)],[f116,f127])).
% 0.10/0.46 fof(f339,plain,(
% 0.10/0.46 ![X0,X1,X2]: (~member(X0,sK14_skl)|~member(X1,sK14_skl)|~apply(sK13_skl,X0,X1)|X0=X1|~upper_bound(X0,sK13_skl,X2)|~member(X1,X2))),
% 0.10/0.46 inference(resolution,[status(thm)],[f331,f41])).
% 0.10/0.46 fof(f359,plain,(
% 0.10/0.46 ![X0,X1]: (~member(sK15_skl,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,sK15_skl,X0)|sK15_skl=X0|~member(X0,sK14_skl)|~sP1_prd(sK15_skl,X1,sK13_skl)|~member(sK15_skl,X1))),
% 0.10/0.46 inference(resolution,[status(thm)],[f339,f167])).
% 0.10/0.46 fof(f362,plain,(
% 0.10/0.46 ![X0,X1]: (~member(sK15_skl,sK14_skl)|~member(X0,sK14_skl)|~apply(sK13_skl,sK15_skl,X0)|sK15_skl=X0|~sP1_prd(sK15_skl,X1,sK13_skl)|~member(sK15_skl,X1))),
% 0.10/0.46 inference(duplicate_literals_removal,[status(thm)],[f359])).
% 0.10/0.46 fof(f363,plain,(
% 0.10/0.46 ![X0,X1]: (~member(X0,sK14_skl)|~apply(sK13_skl,sK15_skl,X0)|sK15_skl=X0|~sP1_prd(sK15_skl,X1,sK13_skl)|~member(sK15_skl,X1))),
% 0.10/0.46 inference(forward_subsumption_resolution,[status(thm)],[f362,f128])).
% 0.10/0.46 fof(f373,plain,(
% 0.10/0.46 ![X0]: (~member(X0,sK14_skl)|~apply(sK13_skl,sK15_skl,X0)|sK15_skl=X0|~sP1_prd(sK15_skl,sK14_skl,sK13_skl))),
% 0.10/0.46 inference(resolution,[status(thm)],[f363,f128])).
% 0.10/0.46 fof(f376,plain,(
% 0.10/0.46 ![X0]: (~member(X0,sK14_skl)|~apply(sK13_skl,sK15_skl,X0)|sK15_skl=X0|~sP0_prd(sK14_skl,sK13_skl))),
% 0.10/0.46 inference(resolution,[status(thm)],[f373,f115])).
% 0.10/0.46 fof(f377,plain,(
% 0.10/0.46 ![X0]: (~member(X0,sK14_skl)|~apply(sK13_skl,sK15_skl,X0)|sK15_skl=X0)),
% 0.10/0.46 inference(forward_subsumption_resolution,[status(thm)],[f376,f127])).
% 0.10/0.46 fof(f378,plain,(
% 0.10/0.46 ![X0]: (~member(sK9_skl(sK15_skl,X0,sK13_skl),sK14_skl)|sK15_skl=sK9_skl(sK15_skl,X0,sK13_skl)|max(sK15_skl,sK13_skl,X0)|~member(sK15_skl,X0))),
% 0.10/0.46 inference(resolution,[status(thm)],[f377,f74])).
% 0.10/0.46 fof(f383,plain,(
% 0.10/0.46 ![X0]: (~member(sK9_skl(sK15_skl,X0,sK13_skl),sK14_skl)|max(sK15_skl,sK13_skl,X0)|~member(sK15_skl,X0))),
% 0.10/0.46 inference(forward_subsumption_resolution,[status(thm)],[f378,f75])).
% 0.10/0.46 fof(f394,plain,(
% 0.10/0.46 max(sK15_skl,sK13_skl,sK14_skl)|~member(sK15_skl,sK14_skl)|max(sK15_skl,sK13_skl,sK14_skl)|~member(sK15_skl,sK14_skl)),
% 0.10/0.46 inference(resolution,[status(thm)],[f383,f73])).
% 0.10/0.46 fof(f395,plain,(
% 0.10/0.46 max(sK15_skl,sK13_skl,sK14_skl)|~member(sK15_skl,sK14_skl)),
% 0.10/0.46 inference(duplicate_literals_removal,[status(thm)],[f394])).
% 0.10/0.46 fof(f397,plain,(
% 0.10/0.46 ~member(sK15_skl,sK14_skl)),
% 0.10/0.46 inference(forward_subsumption_resolution,[status(thm)],[f395,f109])).
% 0.10/0.46 fof(f398,plain,(
% 0.10/0.46 $false),
% 0.10/0.46 inference(backward_subsumption_resolution,[status(thm)],[f128,f397])).
% 0.10/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.50 % Elapsed time: 0.112672 seconds
% 0.10/0.50 % CPU time: 0.600386 seconds
% 0.10/0.50 % Total memory used: 90.420 MB
% 0.10/0.50 % Net memory used: 89.487 MB
%------------------------------------------------------------------------------