0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n184.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 06:58:40 CDT 2018 0.03/0.23 % CPUTime : 0.69/0.91 % 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 6.26/6.50 % Time limit reached! 6.26/6.50 % ------------------------------ 6.26/6.50 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.26/6.50 % Termination reason: Time limit 6.26/6.50 % Termination phase: Saturation 6.26/6.50 6.26/6.50 % Memory used [KB]: 108612 6.26/6.50 % Time elapsed: 5.600 s 6.26/6.50 % ------------------------------ 6.26/6.50 % ------------------------------ 6.34/6.55 % lrs-11_3_av=off:bs=unit_only:bsr=on:cond=on:gsp=input_only:gs=on:gsem=on:lma=on:nm=2:nwc=1:stl=30:sd=3:ss=axioms:st=1.2:sos=all:sp=reverse_arity:urr=on:updr=off_28 on theBenchmark 10.13/10.35 % Time limit reached! 10.13/10.35 % ------------------------------ 10.13/10.35 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 10.13/10.35 % Termination reason: Time limit 10.13/10.35 % Termination phase: Saturation 10.13/10.35 10.13/10.35 % Memory used [KB]: 69849 10.13/10.35 % Time elapsed: 3.800 s 10.13/10.35 % ------------------------------ 10.13/10.35 % ------------------------------ 10.20/10.39 % lrs+10_4:1_add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only_53 on theBenchmark 11.43/11.63 % Refutation found. Thanks to Tanya! 11.43/11.63 % SZS status Theorem for theBenchmark 11.43/11.63 % SZS output start Proof for theBenchmark 11.43/11.65 fof(f377,axiom,( 11.43/11.65 ! [X5,X4] : ((p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X4))),s(real,X5)))) | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X5))),s(real,X4))))) <=> s(real,X4) != s(real,X5))), 11.43/11.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_NOTu_EQ)). 11.43/11.65 fof(f2114,axiom,( 11.43/11.65 ! [X5,X4] : (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X5))),s(real,X4)))) <=> (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X5))),s(real,X4)))) | s(real,X4) = s(real,X5)))), 11.43/11.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_LEu_LT)). 11.43/11.65 fof(f2767,axiom,( 11.43/11.65 ! [X983,X5] : (s(real,i(s(fun(cart(real,X983),real),vectoru_norm),s(cart(real,X983),X5))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) <=> s(cart(real,X983),X5) = s(cart(real,X983),i(s(fun(num,cart(real,X983)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_EQu_0)). 11.43/11.65 fof(f2822,axiom,( 11.43/11.65 ! [X1005,X5] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1005),real),vectoru_norm),s(cart(real,X1005),X5))))))), 11.43/11.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_POSu_LE)). 11.43/11.65 fof(f2831,conjecture,( 11.43/11.65 ! [X1010,X5] : (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1010),real),vectoru_norm),s(cart(real,X1010),X5)))))) <=> s(cart(real,X1010),X5) != s(cart(real,X1010),i(s(fun(num,cart(real,X1010)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_POSu_LT)). 11.43/11.65 fof(f2832,negated_conjecture,( 11.43/11.65 ~! [X1010,X5] : (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X1010),real),vectoru_norm),s(cart(real,X1010),X5)))))) <=> s(cart(real,X1010),X5) != s(cart(real,X1010),i(s(fun(num,cart(real,X1010)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 inference(negated_conjecture,[],[f2831])). 11.43/11.65 fof(f2854,plain,( 11.43/11.65 ~! [X0,X1] : (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))) <=> s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 inference(rectify,[],[f2832])). 11.43/11.65 fof(f3556,plain,( 11.43/11.65 ! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))))), 11.43/11.65 inference(rectify,[],[f2822])). 11.43/11.65 fof(f4209,plain,( 11.43/11.65 ! [X0,X1] : (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) <=> (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) | s(real,X0) = s(real,X1)))), 11.43/11.65 inference(rectify,[],[f2114])). 11.43/11.65 fof(f4250,plain,( 11.43/11.65 ! [X0,X1] : (s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) <=> s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 inference(rectify,[],[f2767])). 11.43/11.65 fof(f4303,plain,( 11.43/11.65 ! [X0,X1] : ((p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))) <=> s(real,X0) != s(real,X1))), 11.43/11.65 inference(rectify,[],[f377])). 11.43/11.65 fof(f5535,plain,( 11.43/11.65 ? [X0,X1] : (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))) <~> s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 inference(ennf_transformation,[],[f2854])). 11.43/11.65 fof(f7382,plain,( 11.43/11.65 s(cart(real,sK0),sK1) != s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))))))), 11.43/11.65 inference(cnf_transformation,[],[f5535])). 11.43/11.65 fof(f7383,plain,( 11.43/11.65 s(cart(real,sK0),sK1) = s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) | ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))))))), 11.43/11.65 inference(cnf_transformation,[],[f5535])). 11.43/11.65 fof(f8695,plain,( 11.43/11.65 ( ! [X0,X1] : (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))))) )), 11.43/11.65 inference(cnf_transformation,[],[f3556])). 11.43/11.65 fof(f9986,plain,( 11.43/11.65 ( ! [X0,X1] : (s(real,X0) = s(real,X1) | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) | ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))) )), 11.43/11.65 inference(cnf_transformation,[],[f4209])). 11.43/11.65 fof(f10083,plain,( 11.43/11.65 ( ! [X0,X1] : (s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) | s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) )), 11.43/11.65 inference(cnf_transformation,[],[f4250])). 11.43/11.65 fof(f10084,plain,( 11.43/11.65 ( ! [X0,X1] : (s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) | s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) )), 11.43/11.65 inference(cnf_transformation,[],[f4250])). 11.43/11.65 fof(f10355,plain,( 11.43/11.65 ( ! [X0,X1] : (s(real,X0) != s(real,X1) | ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))) )), 11.43/11.65 inference(cnf_transformation,[],[f4303])). 11.43/11.65 fof(f19440,plain,( 11.43/11.65 ! [X1,X0] : (sQ6278_eqProxy(X0,X1) <=> X0 = X1)), 11.43/11.65 introduced(equality_proxy_definition,[new_symbols(naming,[sQ6278_eqProxy])])). 11.43/11.65 fof(f20890,plain,( 11.43/11.65 sQ6278_eqProxy(s(cart(real,sK0),sK1),s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))))))), 11.43/11.65 inference(equality_proxy_replacement,[],[f7383,f19440])). 11.43/11.65 fof(f20891,plain,( 11.43/11.65 ~sQ6278_eqProxy(s(cart(real,sK0),sK1),s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))))))), 11.43/11.65 inference(equality_proxy_replacement,[],[f7382,f19440])). 11.43/11.65 fof(f22384,plain,( 11.43/11.65 ( ! [X0,X1] : (sQ6278_eqProxy(s(real,X0),s(real,X1)) | p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))) | ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))) )), 11.43/11.65 inference(equality_proxy_replacement,[],[f9986,f19440])). 11.43/11.65 fof(f22449,plain,( 11.43/11.65 ( ! [X0,X1] : (sQ6278_eqProxy(s(cart(real,X0),X1),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~sQ6278_eqProxy(s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) )), 11.43/11.65 inference(equality_proxy_replacement,[],[f10084,f19440,f19440])). 11.43/11.65 fof(f22450,plain,( 11.43/11.65 ( ! [X0,X1] : (~sQ6278_eqProxy(s(cart(real,X0),X1),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | sQ6278_eqProxy(s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) )), 11.43/11.65 inference(equality_proxy_replacement,[],[f10083,f19440,f19440])). 11.43/11.65 fof(f22587,plain,( 11.43/11.65 ( ! [X0,X1] : (~sQ6278_eqProxy(s(real,X0),s(real,X1)) | ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))) )), 11.43/11.65 inference(equality_proxy_replacement,[],[f10355,f19440])). 11.43/11.65 fof(f24066,plain,( 11.43/11.65 ( ! [X0,X1] : (~sQ6278_eqProxy(X0,X1) | sQ6278_eqProxy(X1,X0)) )), 11.43/11.65 inference(equality_proxy_axiom,[],[f19440])). 11.43/11.65 fof(f24069,plain,( 11.43/11.65 spl6279_0 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))))))), 11.43/11.65 introduced(avatar_definition,[new_symbols(naming,[spl6279_0])])). 11.43/11.65 fof(f24070,plain,( 11.43/11.65 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1)))))) | ~spl6279_0), 11.43/11.65 inference(avatar_component_clause,[],[f24069])). 11.43/11.65 fof(f24072,plain,( 11.43/11.65 spl6279_1 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))))))), 11.43/11.65 introduced(avatar_definition,[new_symbols(naming,[spl6279_1])])). 11.43/11.65 fof(f24073,plain,( 11.43/11.65 ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1)))))) | ~spl6279_1), 11.43/11.65 inference(avatar_component_clause,[],[f24072])). 11.43/11.65 fof(f24075,plain,( 11.43/11.65 spl6279_3 <=> ~sQ6278_eqProxy(s(cart(real,sK0),sK1),s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 introduced(avatar_definition,[new_symbols(naming,[spl6279_3])])). 11.43/11.65 fof(f24076,plain,( 11.43/11.65 ~sQ6278_eqProxy(s(cart(real,sK0),sK1),s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~spl6279_3), 11.43/11.65 inference(avatar_component_clause,[],[f24075])). 11.43/11.65 fof(f24078,plain,( 11.43/11.65 spl6279_2 <=> sQ6278_eqProxy(s(cart(real,sK0),sK1),s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))), 11.43/11.65 introduced(avatar_definition,[new_symbols(naming,[spl6279_2])])). 11.43/11.65 fof(f24079,plain,( 11.43/11.65 sQ6278_eqProxy(s(cart(real,sK0),sK1),s(cart(real,sK0),i(s(fun(num,cart(real,sK0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~spl6279_2), 11.43/11.65 inference(avatar_component_clause,[],[f24078])). 11.43/11.65 fof(f24080,plain,( 11.43/11.65 ~spl6279_1 | spl6279_2), 11.43/11.65 inference(avatar_split_clause,[],[f20890,f24078,f24072])). 11.43/11.65 fof(f24121,plain,( 11.43/11.65 sQ6278_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1)))) | ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1)))))) | ~spl6279_1), 11.43/11.65 inference(resolution,[],[f24073,f22384])). 11.43/11.65 fof(f24562,plain,( 11.43/11.65 sQ6278_eqProxy(s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1)))) | ~spl6279_1), 11.43/11.65 inference(subsumption_resolution,[],[f24121,f8695])). 11.43/11.65 fof(f24575,plain,( 11.43/11.65 spl6279_0 | ~spl6279_3), 11.43/11.65 inference(avatar_split_clause,[],[f20891,f24075,f24069])). 11.43/11.65 fof(f24578,plain,( 11.43/11.65 ~sQ6278_eqProxy(s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~spl6279_3), 11.43/11.65 inference(resolution,[],[f24076,f22449])). 11.43/11.65 fof(f26410,plain,( 11.43/11.65 sQ6278_eqProxy(s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~spl6279_1), 11.43/11.65 inference(resolution,[],[f24562,f24066])). 11.43/11.65 fof(f26420,plain,( 11.43/11.65 $false | (~spl6279_1 | ~spl6279_3)), 11.43/11.65 inference(subsumption_resolution,[],[f26410,f24578])). 11.43/11.65 fof(f26421,plain,( 11.43/11.65 spl6279_1 | spl6279_3), 11.43/11.65 inference(avatar_contradiction_clause,[],[f26420])). 11.43/11.65 fof(f26424,plain,( 11.43/11.65 sQ6278_eqProxy(s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~spl6279_2), 11.43/11.65 inference(resolution,[],[f24079,f22450])). 11.43/11.65 fof(f26638,plain,( 11.43/11.65 ~sQ6278_eqProxy(s(real,i(s(fun(cart(real,sK0),real),vectoru_norm),s(cart(real,sK0),sK1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))) | ~spl6279_0), 11.43/11.65 inference(resolution,[],[f24070,f22587])). 11.43/11.65 fof(f27203,plain,( 11.43/11.65 $false | (~spl6279_0 | ~spl6279_2)), 11.43/11.65 inference(subsumption_resolution,[],[f26638,f26424])). 11.43/11.65 fof(f27204,plain,( 11.43/11.65 ~spl6279_0 | ~spl6279_2), 11.43/11.65 inference(avatar_contradiction_clause,[],[f27203])). 11.43/11.65 fof(f27255,plain,( 11.43/11.65 $false), 11.43/11.65 inference(avatar_sat_refutation,[],[f24080,f24575,f26421,f27204])). 11.43/11.65 % SZS output end Proof for theBenchmark 11.43/11.65 % ------------------------------ 11.43/11.65 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 11.43/11.65 % Termination reason: Refutation 11.43/11.65 11.43/11.65 % Memory used [KB]: 54881 11.43/11.65 % Time elapsed: 1.244 s 11.43/11.65 % ------------------------------ 11.43/11.65 % ------------------------------ 11.43/11.65 % Success in time 11.403 s 11.43/11.65 EOF