0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_vampire %s %d 0.11/0.33 % Computer : n008.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Thu Jul 2 06:46:15 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.37 % (4975)dis+11_3_add=off:afp=10000:afq=2.0:amm=sco:anc=none:ep=RST:gs=on:gsaa=from_current:gsem=on:inw=on:nm=64:nwc=1:sd=10:ss=axioms:st=5.0:sos=all:tha=off:updr=off:uhcvi=on_59 on theBenchmark 0.11/0.37 % (4976)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_2 on theBenchmark 0.11/0.39 % (4982)ott-11_3_add=large:afp=100000:afq=1.2:anc=none:bs=on:cond=fast:fde=none:gs=on:gsem=off:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1:sos=all:sp=occurrence:tha=off:urr=on:uhcvi=on_268 on theBenchmark 0.11/0.39 % (4970)dis+11_4_afp=100000:afq=1.1:anc=none:cond=on:gs=on:gsaa=full_model:nm=64:nwc=1:sac=on:sp=reverse_arity:thi=all_2 on theBenchmark 0.11/0.39 % (4972)lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_2 on theBenchmark 0.11/0.39 % (4971)ott+1010_2:1_awrs=decay:awrsf=512:acc=on:add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:ccuc=first:fsr=off:fde=unused:gsp=input_only:gs=on:gsaa=from_current:irw=on:nm=32:newcnf=on:nwc=1:sos=theory:sp=occurrence:tha=some:uwa=interpreted_only:updr=off_8 on theBenchmark 0.11/0.40 % (4973)dis+10_5_add=off:afp=4000:afq=1.1:anc=none:cond=fast:ep=RSTC:fsr=off:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sp=reverse_arity:thi=all_3 on theBenchmark 0.11/0.40 % (4974)dis+10_1_add=off:afp=40000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:irw=on:nm=64:nwc=1:sas=z3:sac=on_2 on theBenchmark 0.11/0.40 % (4976)Refutation found. Thanks to Tanya! 0.11/0.40 % SZS status Theorem for theBenchmark 0.11/0.40 % SZS output start Proof for theBenchmark 0.11/0.40 tff(func_def_0, type, u: $real). 0.11/0.40 tff(func_def_1, type, v: $real). 0.11/0.40 tff(func_def_2, type, w: $real). 0.11/0.40 tff(func_def_3, type, x: $real). 0.11/0.40 tff(func_def_4, type, y: $real). 0.11/0.40 tff(func_def_5, type, s: $real). 0.11/0.40 tff(func_def_6, type, f: $real > $real). 0.11/0.40 tff(f95,plain,( 0.11/0.40 $false), 0.11/0.40 inference(avatar_sat_refutation,[],[f35,f41,f50,f58,f68,f76,f86,f94])). 0.11/0.40 tff(f94,plain,( 0.11/0.40 ~spl0_8), 0.11/0.40 inference(avatar_split_clause,[],[f89,f91])). 0.11/0.40 tff(f91,plain,( 0.11/0.40 spl0_8 <=> $less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.11/0.40 tff(f89,plain,( 0.11/0.40 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.11/0.40 inference(equality_resolution,[],[f87])). 0.11/0.40 tff(f87,plain,( 0.11/0.40 ( ! [X0:$real] : (u != X0 | ~$less($sum(f(x),X0),$sum($product(v,v),f(y)))) )), 0.11/0.40 inference(equality_resolution,[],[f79])). 0.11/0.40 tff(f79,plain,( 0.11/0.40 ( ! [X0:$real,X1:$real] : (v != X0 | u != X1 | ~$less($sum(f(x),X1),$sum($product(X0,v),f(y)))) )), 0.11/0.40 inference(equality_resolution,[],[f77])). 0.11/0.40 tff(f77,plain,( 0.11/0.40 ( ! [X2:$real,X0:$real,X1:$real] : (v != X1 | v != X0 | u != X2 | ~$less($sum(f(x),X2),$sum($product(X0,X1),f(y)))) )), 0.11/0.40 inference(equality_resolution,[],[f61])). 0.11/0.40 tff(f61,plain,( 0.11/0.40 ( ! [X2:$real,X0:$real,X3:$real,X1:$real] : (f(x) != X3 | v != X1 | v != X2 | u != X0 | ~$less($sum(X3,X0),$sum($product(X1,X2),f(y)))) )), 0.11/0.40 inference(equality_resolution,[],[f22])). 0.11/0.40 tff(f22,plain,( 0.11/0.40 ( ! [X4:$real,X2:$real,X5:$real,X3:$real,X1:$real] : (f(y) != X5 | u != X2 | v != X3 | v != X4 | f(x) != X1 | ~$less($sum(X1,X2),$sum($product(X3,X4),X5))) )), 0.11/0.40 inference(theory_flattening,[],[f15])). 0.11/0.40 tff(f15,plain,( 0.11/0.40 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.11/0.40 inference(cnf_transformation,[],[f13])). 0.11/0.40 tff(f13,plain,( 0.11/0.40 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.11/0.40 inference(flattening,[],[f3])). 0.11/0.40 tff(f3,negated_conjecture,( 0.11/0.40 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.11/0.40 inference(negated_conjecture,[],[f2])). 0.11/0.40 tff(f2,conjecture,( 0.11/0.40 $less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion)). 0.11/0.40 tff(f86,plain,( 0.11/0.40 ~spl0_7 | spl0_5), 0.11/0.40 inference(avatar_split_clause,[],[f81,f65,f83])). 0.11/0.40 tff(f83,plain,( 0.11/0.40 spl0_7 <=> $less(f(f(y)),f(f(x)))), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.11/0.40 tff(f65,plain,( 0.11/0.40 spl0_5 <=> $less(f(y),f(x))), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.11/0.40 tff(f81,plain,( 0.11/0.40 ~$less(f(f(y)),f(f(x))) | spl0_5), 0.11/0.40 inference(equality_resolution,[],[f80])). 0.11/0.40 tff(f80,plain,( 0.11/0.40 ( ! [X0:$real] : (f(f(x)) != X0 | ~$less(f(f(y)),X0)) ) | spl0_5), 0.11/0.40 inference(equality_resolution,[],[f70])). 0.11/0.40 tff(f70,plain,( 0.11/0.40 ( ! [X0:$real,X1:$real] : (f(f(y)) != X0 | f(f(x)) != X1 | ~$less(X0,X1)) ) | spl0_5), 0.11/0.40 inference(resolution,[],[f67,f28])). 0.11/0.40 tff(f28,plain,( 0.11/0.40 ( ! [X2:$real,X0:$real,X3:$real,X1:$real] : (f(X0) != X2 | f(X1) != X3 | ~$less(X2,X3) | $less(X0,X1)) )), 0.11/0.40 inference(theory_flattening,[],[f21])). 0.11/0.40 tff(f21,plain,( 0.11/0.40 ( ! [X0:$real,X1:$real] : (~$less(f(X0),f(X1)) | $less(X0,X1)) )), 0.11/0.40 inference(cnf_transformation,[],[f14])). 0.11/0.40 tff(f14,plain,( 0.11/0.40 ! [X0 : $real,X1 : $real] : (~$less(f(X0),f(X1)) | $less(X0,X1))), 0.11/0.40 inference(ennf_transformation,[],[f12])). 0.11/0.40 tff(f12,plain,( 0.11/0.40 ! [X0 : $real,X1 : $real] : (~$less(X0,X1) => ~$less(f(X0),f(X1)))), 0.11/0.40 inference(theory_normalization,[],[f1])). 0.11/0.40 tff(f1,axiom,( 0.11/0.40 ! [X0 : $real,X1 : $real] : ($greatereq(X0,X1) => $greatereq(f(X0),f(X1)))), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_non_decreasing)). 0.11/0.40 tff(f67,plain,( 0.11/0.40 ~$less(f(y),f(x)) | spl0_5), 0.11/0.40 inference(avatar_component_clause,[],[f65])). 0.11/0.40 tff(f76,plain,( 0.11/0.40 spl0_6), 0.11/0.40 inference(avatar_split_clause,[],[f71,f73])). 0.11/0.40 tff(f73,plain,( 0.11/0.40 spl0_6 <=> $less($product(0.333333,$sum(w,s)),v)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.11/0.40 tff(f71,plain,( 0.11/0.40 $less($product(0.333333,$sum(w,s)),v)), 0.11/0.40 inference(equality_resolution,[],[f69])). 0.11/0.40 tff(f69,plain,( 0.11/0.40 ( ! [X0:$real] : (v != X0 | $less($product(0.333333,$sum(w,s)),X0)) )), 0.11/0.40 inference(equality_resolution,[],[f60])). 0.11/0.40 tff(f60,plain,( 0.11/0.40 ( ! [X0:$real,X1:$real] : (w != X0 | v != X1 | $less($product(0.333333,$sum(X0,s)),X1)) )), 0.11/0.40 inference(equality_resolution,[],[f29])). 0.11/0.40 tff(f29,plain,( 0.11/0.40 ( ! [X2:$real,X3:$real,X1:$real] : (s != X2 | w != X1 | v != X3 | $less($product(0.333333,$sum(X1,X2)),X3)) )), 0.11/0.40 inference(evaluation,[],[f27])). 0.11/0.40 tff(f27,plain,( 0.11/0.40 ( ! [X2:$real,X3:$real,X1:$real] : (w != X1 | s != X2 | v != X3 | $less($product($quotient(1.0,3.0),$sum(X1,X2)),X3)) )), 0.11/0.40 inference(theory_flattening,[],[f20])). 0.11/0.40 tff(f20,plain,( 0.11/0.40 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 0.11/0.40 inference(cnf_transformation,[],[f4])). 0.11/0.40 tff(f4,axiom,( 0.11/0.40 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_03)). 0.11/0.40 tff(f68,plain,( 0.11/0.40 ~spl0_5 | spl0_3), 0.11/0.40 inference(avatar_split_clause,[],[f63,f47,f65])). 0.11/0.40 tff(f47,plain,( 0.11/0.40 spl0_3 <=> $less(y,x)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.11/0.40 tff(f63,plain,( 0.11/0.40 ~$less(f(y),f(x)) | spl0_3), 0.11/0.40 inference(equality_resolution,[],[f62])). 0.11/0.40 tff(f62,plain,( 0.11/0.40 ( ! [X0:$real] : (f(x) != X0 | ~$less(f(y),X0)) ) | spl0_3), 0.11/0.40 inference(equality_resolution,[],[f51])). 0.11/0.40 tff(f51,plain,( 0.11/0.40 ( ! [X0:$real,X1:$real] : (f(y) != X0 | f(x) != X1 | ~$less(X0,X1)) ) | spl0_3), 0.11/0.40 inference(resolution,[],[f49,f28])). 0.11/0.40 tff(f49,plain,( 0.11/0.40 ~$less(y,x) | spl0_3), 0.11/0.40 inference(avatar_component_clause,[],[f47])). 0.11/0.40 tff(f58,plain,( 0.11/0.40 spl0_4), 0.11/0.40 inference(avatar_split_clause,[],[f53,f55])). 0.11/0.40 tff(f55,plain,( 0.11/0.40 spl0_4 <=> $less(u,v)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.11/0.40 tff(f53,plain,( 0.11/0.40 $less(u,v)), 0.11/0.40 inference(equality_resolution,[],[f52])). 0.11/0.40 % (4980)ott-2_64_add=large:afr=on:afp=4000:afq=1.1:amm=sco:anc=none:bd=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:newcnf=on:nwc=1:sac=on:sp=occurrence:thf=on:updr=off:uhcvi=on_154 on theBenchmark 0.11/0.40 tff(f52,plain,( 0.11/0.40 ( ! [X0:$real] : (u != X0 | $less(X0,v)) )), 0.11/0.40 inference(equality_resolution,[],[f26])). 0.11/0.40 tff(f26,plain,( 0.11/0.40 ( ! [X2:$real,X1:$real] : (v != X2 | u != X1 | $less(X1,X2)) )), 0.11/0.40 inference(theory_flattening,[],[f19])). 0.11/0.40 tff(f19,plain,( 0.11/0.40 $less(u,v)), 0.11/0.40 inference(cnf_transformation,[],[f6])). 0.11/0.40 tff(f6,axiom,( 0.11/0.40 $less(u,v)), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis)). 0.11/0.40 tff(f50,plain,( 0.11/0.40 ~spl0_3), 0.11/0.40 inference(avatar_split_clause,[],[f45,f47])). 0.11/0.40 tff(f45,plain,( 0.11/0.40 ~$less(y,x)), 0.11/0.40 inference(equality_resolution,[],[f44])). 0.11/0.40 tff(f44,plain,( 0.11/0.40 ( ! [X0:$real] : (x != X0 | ~$less(y,X0)) )), 0.11/0.40 inference(equality_resolution,[],[f23])). 0.11/0.40 tff(f23,plain,( 0.11/0.40 ( ! [X2:$real,X1:$real] : (y != X1 | x != X2 | ~$less(X1,X2)) )), 0.11/0.40 inference(theory_flattening,[],[f16])). 0.11/0.40 tff(f16,plain,( 0.11/0.40 ~$less(y,x)), 0.11/0.40 inference(cnf_transformation,[],[f9])). 0.11/0.40 tff(f9,plain,( 0.11/0.40 ~$less(y,x)), 0.11/0.40 inference(theory_normalization,[],[f7])). 0.11/0.40 tff(f7,axiom,( 0.11/0.40 $lesseq(x,y)), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_04)). 0.11/0.40 tff(f41,plain,( 0.11/0.40 spl0_2), 0.11/0.40 inference(avatar_split_clause,[],[f36,f38])). 0.11/0.40 tff(f38,plain,( 0.11/0.40 spl0_2 <=> $less(1.0,w)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.11/0.40 tff(f36,plain,( 0.11/0.40 $less(1.0,w)), 0.11/0.40 inference(equality_resolution,[],[f25])). 0.11/0.40 tff(f25,plain,( 0.11/0.40 ( ! [X1:$real] : (w != X1 | $less(1.0,X1)) )), 0.11/0.40 inference(theory_flattening,[],[f18])). 0.11/0.40 tff(f18,plain,( 0.11/0.40 $less(1.0,w)), 0.11/0.40 inference(cnf_transformation,[],[f11])). 0.11/0.40 tff(f11,plain,( 0.11/0.40 $less(1.0,w)), 0.11/0.40 inference(theory_normalization,[],[f8])). 0.11/0.40 tff(f8,axiom,( 0.11/0.40 $greater(w,1.0)), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01)). 0.11/0.40 tff(f35,plain,( 0.11/0.40 spl0_1), 0.11/0.40 inference(avatar_split_clause,[],[f30,f32])). 0.11/0.40 tff(f32,plain,( 0.11/0.40 spl0_1 <=> $less(2.0,s)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.11/0.40 tff(f30,plain,( 0.11/0.40 $less(2.0,s)), 0.11/0.40 inference(equality_resolution,[],[f24])). 0.11/0.40 tff(f24,plain,( 0.11/0.40 ( ! [X1:$real] : (s != X1 | $less(2.0,X1)) )), 0.11/0.40 inference(theory_flattening,[],[f17])). 0.11/0.40 tff(f17,plain,( 0.11/0.40 $less(2.0,s)), 0.11/0.40 inference(cnf_transformation,[],[f10])). 0.11/0.40 tff(f10,plain,( 0.11/0.40 $less(2.0,s)), 0.11/0.40 inference(theory_normalization,[],[f5])). 0.11/0.40 tff(f5,axiom,( 0.11/0.40 $greater(s,2.0)), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_02)). 0.11/0.40 % SZS output end Proof for theBenchmark 0.11/0.40 % (4976)------------------------------ 0.11/0.40 % (4976)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.11/0.40 % (4976)Termination reason: Refutation 0.11/0.40 0.11/0.40 % (4976)Memory used [KB]: 6012 0.11/0.40 % (4976)Time elapsed: 0.037 s 0.11/0.40 % (4976)------------------------------ 0.11/0.40 % (4976)------------------------------ 0.11/0.40 % (4981)dis+11_3_afr=on:afp=4000:afq=1.4:amm=off:anc=none:bd=preordered:bce=on:fsr=off:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=6:nwc=1:sd=10:ss=axioms:st=5.0:sac=on:sp=occurrence:tha=off:urr=ec_only_85 on theBenchmark 0.11/0.41 % (4981)Refutation not found, incomplete strategy% (4981)------------------------------ 0.11/0.41 % (4981)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.11/0.41 % (4981)Termination reason: Refutation not found, incomplete strategy 0.11/0.41 0.11/0.41 % (4981)Memory used [KB]: 10362 0.11/0.41 % (4981)Time elapsed: 0.040 s 0.11/0.41 % (4981)------------------------------ 0.11/0.41 % (4981)------------------------------ 0.11/0.41 % (4969)Success in time 0.068 s 0.11/0.41 EOF