0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n188.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:12:12 CDT 2018 0.03/0.24 % CPUTime : 0.76/0.97 % lrs+1011_4:1_acc=model:add=large:afp=40000:afq=1.4:ccuc=first:cond=on:fsr=off:gsp=input_only:gs=on:gsem=off:irw=on:nwc=1:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:urr=on_42 on theBenchmark 2.24/2.45 % Refutation found. Thanks to Tanya! 2.24/2.45 % SZS status Theorem for theBenchmark 2.24/2.45 % SZS output start Proof for theBenchmark 2.24/2.45 fof(f2822,conjecture,( 2.24/2.45 ! [X1038,X22,X5,X4] : ((p(s(bool,i(s(fun(cart(real,X1038),bool),i(s(fun(cart(real,X1038),fun(cart(real,X1038),bool)),orthogonal),s(cart(real,X1038),X4))),s(cart(real,X1038),X22)))) & p(s(bool,i(s(fun(cart(real,X1038),bool),i(s(fun(cart(real,X1038),fun(cart(real,X1038),bool)),orthogonal),s(cart(real,X1038),X5))),s(cart(real,X1038),X22))))) => p(s(bool,i(s(fun(cart(real,X1038),bool),i(s(fun(cart(real,X1038),fun(cart(real,X1038),bool)),orthogonal),s(cart(real,X1038),i(s(fun(cart(real,X1038),cart(real,X1038)),i(s(fun(cart(real,X1038),fun(cart(real,X1038),cart(real,X1038))),vectoru_add),s(cart(real,X1038),X5))),s(cart(real,X1038),X4))))),s(cart(real,X1038),X22)))))), 2.24/2.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aORTHOGONALu_CLAUSESu_conjunct8)). 2.24/2.45 fof(f2823,negated_conjecture,( 2.24/2.45 ~! [X1038,X22,X5,X4] : ((p(s(bool,i(s(fun(cart(real,X1038),bool),i(s(fun(cart(real,X1038),fun(cart(real,X1038),bool)),orthogonal),s(cart(real,X1038),X4))),s(cart(real,X1038),X22)))) & p(s(bool,i(s(fun(cart(real,X1038),bool),i(s(fun(cart(real,X1038),fun(cart(real,X1038),bool)),orthogonal),s(cart(real,X1038),X5))),s(cart(real,X1038),X22))))) => p(s(bool,i(s(fun(cart(real,X1038),bool),i(s(fun(cart(real,X1038),fun(cart(real,X1038),bool)),orthogonal),s(cart(real,X1038),i(s(fun(cart(real,X1038),cart(real,X1038)),i(s(fun(cart(real,X1038),fun(cart(real,X1038),cart(real,X1038))),vectoru_add),s(cart(real,X1038),X5))),s(cart(real,X1038),X4))))),s(cart(real,X1038),X22)))))), 2.24/2.45 inference(negated_conjecture,[],[f2822])). 2.24/2.45 fof(f2836,axiom,( 2.24/2.45 ! [X1047,X22,X5,X4] : ((p(s(bool,i(s(fun(cart(real,X1047),bool),i(s(fun(cart(real,X1047),fun(cart(real,X1047),bool)),orthogonal),s(cart(real,X1047),X22))),s(cart(real,X1047),X4)))) & p(s(bool,i(s(fun(cart(real,X1047),bool),i(s(fun(cart(real,X1047),fun(cart(real,X1047),bool)),orthogonal),s(cart(real,X1047),X22))),s(cart(real,X1047),X5))))) => p(s(bool,i(s(fun(cart(real,X1047),bool),i(s(fun(cart(real,X1047),fun(cart(real,X1047),bool)),orthogonal),s(cart(real,X1047),X22))),s(cart(real,X1047),i(s(fun(cart(real,X1047),cart(real,X1047)),i(s(fun(cart(real,X1047),fun(cart(real,X1047),cart(real,X1047))),vectoru_add),s(cart(real,X1047),X5))),s(cart(real,X1047),X4)))))))), 2.24/2.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aORTHOGONALu_CLAUSESu_conjunct3)). 2.24/2.45 fof(f2855,axiom,( 2.24/2.45 ! [X1062,X5,X4] : s(bool,i(s(fun(cart(real,X1062),bool),i(s(fun(cart(real,X1062),fun(cart(real,X1062),bool)),orthogonal),s(cart(real,X1062),X4))),s(cart(real,X1062),X5))) = s(bool,i(s(fun(cart(real,X1062),bool),i(s(fun(cart(real,X1062),fun(cart(real,X1062),bool)),orthogonal),s(cart(real,X1062),X5))),s(cart(real,X1062),X4)))), 2.24/2.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aORTHOGONALu_SYM)). 2.24/2.45 fof(f3022,plain,( 2.24/2.45 ~! [X0,X1,X2,X3] : ((p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) & p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))))) => p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1)))))), 2.24/2.45 inference(rectify,[],[f2823])). 2.24/2.45 fof(f3031,plain,( 2.24/2.45 ! [X0,X1,X2,X3] : ((p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) & p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))) => p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))))), 2.24/2.45 inference(rectify,[],[f2836])). 2.24/2.45 fof(f3165,plain,( 2.24/2.45 ! [X0,X1,X2] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1)))), 2.24/2.45 inference(rectify,[],[f2855])). 2.24/2.45 fof(f3229,plain,( 2.24/2.45 ? [X0,X1,X2,X3] : (~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1)))) & (p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) & p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))))))), 2.24/2.45 inference(ennf_transformation,[],[f3022])). 2.24/2.45 fof(f3230,plain,( 2.24/2.45 ? [X0,X1,X2,X3] : (~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1)))) & p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) & p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1)))))), 2.24/2.45 inference(flattening,[],[f3229])). 2.24/2.45 fof(f3243,plain,( 2.24/2.45 ! [X0,X1,X2,X3] : (p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))) | (~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) | ~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))))), 2.24/2.45 inference(ennf_transformation,[],[f3031])). 2.24/2.45 fof(f3244,plain,( 2.24/2.45 ! [X0,X1,X2,X3] : (p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))) | ~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) | ~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2)))))), 2.24/2.45 inference(flattening,[],[f3243])). 2.24/2.45 fof(f3401,plain,( 2.24/2.45 ? [X0,X1,X2,X3] : (~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1)))) & p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) & p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))))) => (~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18))))),s(cart(real,sK15),sK16)))) & p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK18))),s(cart(real,sK15),sK16)))) & p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK16)))))), 2.24/2.45 introduced(choice_axiom,[])). 2.24/2.45 fof(f3402,plain,( 2.24/2.45 ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18))))),s(cart(real,sK15),sK16)))) & p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK18))),s(cart(real,sK15),sK16)))) & p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK16))))), 2.24/2.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f3230,f3401])). 2.24/2.45 fof(f3989,plain,( 2.24/2.45 p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK16))))), 2.24/2.45 inference(cnf_transformation,[],[f3402])). 2.24/2.45 fof(f3990,plain,( 2.24/2.45 p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK18))),s(cart(real,sK15),sK16))))), 2.24/2.45 inference(cnf_transformation,[],[f3402])). 2.24/2.45 fof(f3991,plain,( 2.24/2.45 ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18))))),s(cart(real,sK15),sK16))))), 2.24/2.45 inference(cnf_transformation,[],[f3402])). 2.24/2.45 fof(f4001,plain,( 2.24/2.45 ( ! [X2,X0,X3,X1] : (p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))) | ~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) | ~p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))) )), 2.24/2.45 inference(cnf_transformation,[],[f3244])). 2.24/2.45 fof(f4451,plain,( 2.24/2.45 ( ! [X2,X0,X1] : (s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1)))) )), 2.24/2.45 inference(cnf_transformation,[],[f3165])). 2.24/2.45 fof(f6190,plain,( 2.24/2.45 spl597_329 <=> ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18))))),s(cart(real,sK15),sK16))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_329])])). 2.24/2.45 fof(f6191,plain,( 2.24/2.45 ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18))))),s(cart(real,sK15),sK16)))) | ~spl597_329), 2.24/2.45 inference(avatar_component_clause,[],[f6190])). 2.24/2.45 fof(f6192,plain,( 2.24/2.45 ~spl597_329), 2.24/2.45 inference(avatar_split_clause,[],[f3991,f6190])). 2.24/2.45 fof(f6197,plain,( 2.24/2.45 spl597_330 <=> p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK18))),s(cart(real,sK15),sK16))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_330])])). 2.24/2.45 fof(f6198,plain,( 2.24/2.45 p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK18))),s(cart(real,sK15),sK16)))) | ~spl597_330), 2.24/2.45 inference(avatar_component_clause,[],[f6197])). 2.24/2.45 fof(f6199,plain,( 2.24/2.45 spl597_330), 2.24/2.45 inference(avatar_split_clause,[],[f3990,f6197])). 2.24/2.45 fof(f6204,plain,( 2.24/2.45 spl597_332 <=> p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK16))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_332])])). 2.24/2.45 fof(f6205,plain,( 2.24/2.45 p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK16)))) | ~spl597_332), 2.24/2.45 inference(avatar_component_clause,[],[f6204])). 2.24/2.45 fof(f6206,plain,( 2.24/2.45 spl597_332), 2.24/2.45 inference(avatar_split_clause,[],[f3989,f6204])). 2.24/2.45 fof(f6346,plain,( 2.24/2.45 p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK17)))) | ~spl597_332), 2.24/2.45 inference(forward_demodulation,[],[f6205,f4451])). 2.24/2.45 fof(f6348,plain,( 2.24/2.45 spl597_339 <=> ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK17))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_339])])). 2.24/2.45 fof(f6351,plain,( 2.24/2.45 spl597_338 <=> p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK17))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_338])])). 2.24/2.45 fof(f6353,plain,( 2.24/2.45 spl597_338 | ~spl597_332), 2.24/2.45 inference(avatar_split_clause,[],[f6346,f6204,f6351])). 2.24/2.45 fof(f6354,plain,( 2.24/2.45 p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK18)))) | ~spl597_330), 2.24/2.45 inference(forward_demodulation,[],[f6198,f4451])). 2.24/2.45 fof(f6356,plain,( 2.24/2.45 spl597_341 <=> ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK18))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_341])])). 2.24/2.45 fof(f6359,plain,( 2.24/2.45 spl597_340 <=> p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK18))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_340])])). 2.24/2.45 fof(f6361,plain,( 2.24/2.45 spl597_340 | ~spl597_330), 2.24/2.45 inference(avatar_split_clause,[],[f6354,f6197,f6359])). 2.24/2.45 fof(f6362,plain,( 2.24/2.45 ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18)))))) | ~spl597_329), 2.24/2.45 inference(forward_demodulation,[],[f6191,f4451])). 2.24/2.45 fof(f6367,plain,( 2.24/2.45 spl597_343 <=> ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18))))))), 2.24/2.45 introduced(avatar_definition,[new_symbols(naming,[spl597_343])])). 2.24/2.45 fof(f6368,plain,( 2.24/2.45 ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),i(s(fun(cart(real,sK15),cart(real,sK15)),i(s(fun(cart(real,sK15),fun(cart(real,sK15),cart(real,sK15))),vectoru_add),s(cart(real,sK15),sK17))),s(cart(real,sK15),sK18)))))) | ~spl597_343), 2.24/2.45 inference(avatar_component_clause,[],[f6367])). 2.24/2.45 fof(f6369,plain,( 2.24/2.45 ~spl597_343 | spl597_329), 2.24/2.45 inference(avatar_split_clause,[],[f6362,f6190,f6367])). 2.24/2.45 fof(f20530,plain,( 2.24/2.45 ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK18)))) | ~p(s(bool,i(s(fun(cart(real,sK15),bool),i(s(fun(cart(real,sK15),fun(cart(real,sK15),bool)),orthogonal),s(cart(real,sK15),sK16))),s(cart(real,sK15),sK17)))) | ~spl597_343), 2.24/2.45 inference(resolution,[],[f4001,f6368])). 2.24/2.45 fof(f20646,plain,( 2.24/2.45 ~spl597_339 | ~spl597_341 | spl597_343), 2.24/2.45 inference(avatar_split_clause,[],[f20530,f6367,f6356,f6348])). 2.24/2.45 fof(f20737,plain,( 2.24/2.45 $false), 2.24/2.45 inference(avatar_sat_refutation,[],[f6192,f6199,f6206,f6353,f6361,f6369,f20646])). 2.24/2.45 % SZS output end Proof for theBenchmark 2.24/2.45 % ------------------------------ 2.24/2.45 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.24/2.45 % Termination reason: Refutation 2.24/2.45 2.24/2.45 % Memory used [KB]: 50276 2.24/2.45 % Time elapsed: 1.480 s 2.24/2.45 % ------------------------------ 2.24/2.45 % ------------------------------ 2.24/2.46 % Success in time 2.218 s 2.24/2.46 EOF