TSTP Solution File: SET791+4 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:11 EDT 2023
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n016.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 10:44:29 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,axiom,(
% 0.14/0.36 (! [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) ) ) )) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f3,axiom,(
% 0.14/0.36 (! [R,E,M] :( upper_bound(M,R,E)<=> (! [X] :( member(X,E)=> apply(R,X,M) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f5,axiom,(
% 0.14/0.36 (! [R,E,M] :( greatest(M,R,E)<=> ( member(M,E)& (! [X] :( member(X,E)=> apply(R,X,M) ) )) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f7,axiom,(
% 0.14/0.36 (! [R,E,M] :( max(M,R,E)<=> ( member(M,E)& (! [X] :( ( member(X,E)& apply(R,M,X) )=> M = X ) )) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f11,conjecture,(
% 0.14/0.36 (! [R,E,M] :( ( order(R,E)& greatest(M,R,E) )=> max(M,R,E) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f12,negated_conjecture,(
% 0.14/0.36 ~((! [R,E,M] :( ( order(R,E)& greatest(M,R,E) )=> max(M,R,E) ) ))),
% 0.14/0.36 inference(negated_conjecture,[status(cth)],[f11])).
% 0.14/0.36 fof(f13,plain,(
% 0.14/0.36 ![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))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 ![R,E]: (pd0_0(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)))))),
% 0.14/0.36 introduced(predicate_definition,[f13])).
% 0.14/0.36 fof(f15,plain,(
% 0.14/0.36 ![R,E]: (order(R,E)<=>(pd0_0(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))))))),
% 0.14/0.36 inference(formula_renaming,[status(thm)],[f13,f14])).
% 0.14/0.36 fof(f16,plain,(
% 0.14/0.36 ![R,E]: ((~order(R,E)|(pd0_0(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)|(~pd0_0(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)))))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f15])).
% 0.14/0.36 fof(f17,plain,(
% 0.14/0.36 (![R,E]: (~order(R,E)|(pd0_0(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)|(~pd0_0(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)))))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f16])).
% 0.14/0.36 fof(f18,plain,(
% 0.14/0.36 (![R,E]: (~order(R,E)|(pd0_0(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)|(~pd0_0(E,R)|(((member(sk0_0(E,R),E)&member(sk0_1(E,R),E))&member(sk0_2(E,R),E))&((apply(R,sk0_0(E,R),sk0_1(E,R))&apply(R,sk0_1(E,R),sk0_2(E,R)))&~apply(R,sk0_0(E,R),sk0_2(E,R)))))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f17])).
% 0.14/0.36 fof(f19,plain,(
% 0.14/0.36 ![X0,X1]: (~order(X0,X1)|pd0_0(X1,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.36 fof(f37,plain,(
% 0.14/0.36 ![R,E,M]: (upper_bound(M,R,E)<=>(![X]: (~member(X,E)|apply(R,X,M))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.14/0.36 fof(f38,plain,(
% 0.14/0.36 ![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)))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f37])).
% 0.14/0.36 fof(f39,plain,(
% 0.14/0.36 (![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)))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f38])).
% 0.14/0.36 fof(f40,plain,(
% 0.14/0.36 (![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(sk0_5(M,E,R),E)&~apply(R,sk0_5(M,E,R),M))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f39])).
% 0.14/0.36 fof(f41,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~upper_bound(X0,X1,X2)|~member(X3,X2)|apply(X1,X3,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.36 fof(f42,plain,(
% 0.14/0.36 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|member(sk0_5(X0,X2,X1),X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.36 fof(f43,plain,(
% 0.14/0.36 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~apply(X1,sk0_5(X0,X2,X1),X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.36 fof(f51,plain,(
% 0.14/0.36 ![R,E,M]: (greatest(M,R,E)<=>(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M)))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.36 fof(f52,plain,(
% 0.14/0.36 ![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))))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f51])).
% 0.14/0.36 fof(f53,plain,(
% 0.14/0.36 (![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))))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f52])).
% 0.14/0.36 fof(f54,plain,(
% 0.14/0.36 (![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(sk0_7(M,E,R),E)&~apply(R,sk0_7(M,E,R),M)))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f53])).
% 0.14/0.36 fof(f55,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~greatest(X0,X1,X2)|member(X0,X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.36 fof(f56,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~greatest(X0,X1,X2)|~member(X3,X2)|apply(X1,X3,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.36 fof(f67,plain,(
% 0.14/0.36 ![R,E,M]: (max(M,R,E)<=>(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.36 fof(f68,plain,(
% 0.14/0.36 ![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)))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f67])).
% 0.14/0.36 fof(f69,plain,(
% 0.14/0.36 (![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)))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f68])).
% 0.14/0.36 fof(f70,plain,(
% 0.14/0.36 (![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(sk0_9(M,E,R),E)&apply(R,M,sk0_9(M,E,R)))&~M=sk0_9(M,E,R)))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f69])).
% 0.14/0.36 fof(f73,plain,(
% 0.14/0.36 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|member(sk0_9(X0,X2,X1),X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f70])).
% 0.14/0.36 fof(f74,plain,(
% 0.14/0.36 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|apply(X1,X0,sk0_9(X0,X2,X1)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f70])).
% 0.14/0.36 fof(f75,plain,(
% 0.14/0.36 ![X0,X1,X2]: (max(X0,X1,X2)|~member(X0,X2)|~X0=sk0_9(X0,X2,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f70])).
% 0.14/0.36 fof(f105,plain,(
% 0.14/0.36 (?[R,E,M]: ((order(R,E)&greatest(M,R,E))&~max(M,R,E)))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.14/0.36 fof(f106,plain,(
% 0.14/0.36 ((order(sk0_13,sk0_14)&greatest(sk0_15,sk0_13,sk0_14))&~max(sk0_15,sk0_13,sk0_14))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f105])).
% 0.14/0.36 fof(f107,plain,(
% 0.14/0.37 order(sk0_13,sk0_14)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f106])).
% 0.14/0.37 fof(f108,plain,(
% 0.14/0.37 greatest(sk0_15,sk0_13,sk0_14)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f106])).
% 0.14/0.37 fof(f109,plain,(
% 0.14/0.37 ~max(sk0_15,sk0_13,sk0_14)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f106])).
% 0.14/0.37 fof(f110,plain,(
% 0.14/0.37 ![R,E,X]: (pd0_1(X,E,R)<=>(~member(X,E)|apply(R,X,X)))),
% 0.14/0.37 introduced(predicate_definition,[f14])).
% 0.14/0.37 fof(f111,plain,(
% 0.14/0.37 ![R,E]: (pd0_0(E,R)<=>((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))),
% 0.14/0.37 inference(formula_renaming,[status(thm)],[f14,f110])).
% 0.14/0.37 fof(f112,plain,(
% 0.14/0.37 ![R,E]: ((~pd0_0(E,R)|((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))&(pd0_0(E,R)|((?[X]: ~pd0_1(X,E,R))|(?[X,Y]: ((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&~X=Y))))))),
% 0.14/0.37 inference(NNF_transformation,[status(esa)],[f111])).
% 0.14/0.37 fof(f113,plain,(
% 0.14/0.37 (![R,E]: (~pd0_0(E,R)|((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))))&(![R,E]: (pd0_0(E,R)|((?[X]: ~pd0_1(X,E,R))|(?[X,Y]: ((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&~X=Y))))))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f112])).
% 0.14/0.37 fof(f114,plain,(
% 0.14/0.37 (![R,E]: (~pd0_0(E,R)|((![X]: pd0_1(X,E,R))&(![X,Y]: ((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y))))))&(![R,E]: (pd0_0(E,R)|(~pd0_1(sk0_16(E,R),E,R)|((member(sk0_17(E,R),E)&member(sk0_18(E,R),E))&((apply(R,sk0_17(E,R),sk0_18(E,R))&apply(R,sk0_18(E,R),sk0_17(E,R)))&~sk0_17(E,R)=sk0_18(E,R))))))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f113])).
% 0.14/0.37 fof(f116,plain,(
% 0.14/0.37 ![X0,X1,X2,X3]: (~pd0_0(X0,X1)|~member(X2,X0)|~member(X3,X0)|~apply(X1,X2,X3)|~apply(X1,X3,X2)|X2=X3)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f114])).
% 0.14/0.37 fof(f127,plain,(
% 0.14/0.37 member(sk0_15,sk0_14)),
% 0.14/0.37 inference(resolution,[status(thm)],[f55,f108])).
% 0.14/0.37 fof(f129,plain,(
% 0.14/0.37 ![X0,X1,X2,X3]: (upper_bound(X0,X1,X2)|~greatest(X0,X1,X3)|~member(sk0_5(X0,X2,X1),X3))),
% 0.14/0.37 inference(resolution,[status(thm)],[f43,f56])).
% 0.14/0.37 fof(f132,plain,(
% 0.14/0.37 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~greatest(X0,X1,X2)|upper_bound(X0,X1,X2))),
% 0.14/0.37 inference(resolution,[status(thm)],[f129,f42])).
% 0.14/0.37 fof(f133,plain,(
% 0.14/0.37 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~greatest(X0,X1,X2))),
% 0.14/0.37 inference(duplicate_literals_removal,[status(esa)],[f132])).
% 0.14/0.37 fof(f134,plain,(
% 0.14/0.37 upper_bound(sk0_15,sk0_13,sk0_14)),
% 0.14/0.37 inference(resolution,[status(thm)],[f133,f108])).
% 0.14/0.37 fof(f135,plain,(
% 0.14/0.37 ![X0]: (~member(X0,sk0_14)|apply(sk0_13,X0,sk0_15))),
% 0.14/0.37 inference(resolution,[status(thm)],[f134,f41])).
% 0.14/0.37 fof(f148,plain,(
% 0.14/0.37 spl0_2 <=> member(sk0_15,sk0_14)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f150,plain,(
% 0.14/0.37 ~member(sk0_15,sk0_14)|spl0_2),
% 0.14/0.37 inference(component_clause,[status(thm)],[f148])).
% 0.14/0.37 fof(f156,plain,(
% 0.14/0.37 $false|spl0_2),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f150,f127])).
% 0.14/0.37 fof(f157,plain,(
% 0.14/0.37 spl0_2),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f156])).
% 0.14/0.37 fof(f784,plain,(
% 0.14/0.37 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X1)|~apply(X3,X0,X2)|~apply(X3,X2,X0)|X0=X2|~order(X3,X1))),
% 0.14/0.37 inference(resolution,[status(thm)],[f116,f19])).
% 0.14/0.37 fof(f785,plain,(
% 0.14/0.37 ![X0,X1]: (~member(X0,sk0_14)|~member(X1,sk0_14)|~apply(sk0_13,X0,X1)|~apply(sk0_13,X1,X0)|X0=X1)),
% 0.14/0.37 inference(resolution,[status(thm)],[f784,f107])).
% 0.14/0.37 fof(f786,plain,(
% 0.14/0.37 spl0_51 <=> ~member(X0,sk0_14)|~apply(sk0_13,sk0_15,X0)|sk0_15=X0|~member(X0,sk0_14)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f787,plain,(
% 0.14/0.37 ![X0]: (~member(X0,sk0_14)|~apply(sk0_13,sk0_15,X0)|sk0_15=X0|~member(X0,sk0_14)|~spl0_51)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f786])).
% 0.14/0.37 fof(f789,plain,(
% 0.14/0.37 ![X0]: (~member(sk0_15,sk0_14)|~member(X0,sk0_14)|~apply(sk0_13,sk0_15,X0)|sk0_15=X0|~member(X0,sk0_14))),
% 0.14/0.37 inference(resolution,[status(thm)],[f785,f135])).
% 0.14/0.37 fof(f790,plain,(
% 0.14/0.37 ~spl0_2|spl0_51),
% 0.14/0.37 inference(split_clause,[status(thm)],[f789,f148,f786])).
% 0.14/0.37 fof(f811,plain,(
% 0.14/0.37 ![X0]: (~member(X0,sk0_14)|~apply(sk0_13,sk0_15,X0)|sk0_15=X0|~spl0_51)),
% 0.14/0.37 inference(duplicate_literals_removal,[status(esa)],[f787])).
% 0.14/0.37 fof(f839,plain,(
% 0.14/0.37 ![X0]: (~member(sk0_9(sk0_15,X0,sk0_13),sk0_14)|sk0_15=sk0_9(sk0_15,X0,sk0_13)|max(sk0_15,sk0_13,X0)|~member(sk0_15,X0)|~spl0_51)),
% 0.14/0.37 inference(resolution,[status(thm)],[f811,f74])).
% 0.14/0.37 fof(f840,plain,(
% 0.14/0.37 ![X0]: (~member(sk0_9(sk0_15,X0,sk0_13),sk0_14)|max(sk0_15,sk0_13,X0)|~member(sk0_15,X0)|~spl0_51)),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f839,f75])).
% 0.14/0.37 fof(f902,plain,(
% 0.14/0.37 spl0_59 <=> max(sk0_15,sk0_13,sk0_14)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f903,plain,(
% 0.14/0.37 max(sk0_15,sk0_13,sk0_14)|~spl0_59),
% 0.14/0.37 inference(component_clause,[status(thm)],[f902])).
% 0.14/0.37 fof(f905,plain,(
% 0.14/0.37 max(sk0_15,sk0_13,sk0_14)|~member(sk0_15,sk0_14)|max(sk0_15,sk0_13,sk0_14)|~member(sk0_15,sk0_14)|~spl0_51),
% 0.14/0.37 inference(resolution,[status(thm)],[f840,f73])).
% 0.14/0.37 fof(f906,plain,(
% 0.14/0.37 spl0_59|~spl0_2|~spl0_51),
% 0.14/0.37 inference(split_clause,[status(thm)],[f905,f902,f148,f786])).
% 0.14/0.37 fof(f907,plain,(
% 0.14/0.37 $false|~spl0_59),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f903,f109])).
% 0.14/0.37 fof(f908,plain,(
% 0.14/0.37 ~spl0_59),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f907])).
% 0.14/0.60 fof(f909,plain,(
% 0.14/0.60 $false),
% 0.14/0.60 inference(sat_refutation,[status(thm)],[f157,f790,f906,f908])).
% 0.14/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.60 % Elapsed time: 0.069130 seconds
% 0.14/0.60 % CPU time: 0.154861 seconds
% 0.14/0.60 % Memory used: 14.321 MB
%------------------------------------------------------------------------------