0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire --mode casc -t %d %s 0.11/0.32 % Computer : n007.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 06:48:25 EDT 2020 0.11/0.33 % CPUTime : 0.16/0.39 % 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 0.70/0.89 % Time limit reached! 0.70/0.89 % ------------------------------ 0.70/0.89 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.70/0.89 % Termination reason: Time limit 0.70/0.89 % Termination phase: Saturation 0.70/0.89 0.70/0.89 % Memory used [KB]: 9722 0.70/0.89 % Time elapsed: 0.500 s 0.70/0.89 % ------------------------------ 0.70/0.89 % ------------------------------ 0.71/0.95 % 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 1.93/2.15 % Time limit reached! 1.93/2.15 % ------------------------------ 1.93/2.15 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.93/2.15 % Termination reason: Time limit 1.93/2.15 % Termination phase: Saturation 1.93/2.15 1.93/2.15 % Memory used [KB]: 15607 1.93/2.15 % Time elapsed: 1.200 s 1.93/2.15 % ------------------------------ 1.93/2.15 % ------------------------------ 1.93/2.21 % 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 2.05/2.27 % Refutation not found, SMT solver inside AVATAR returned Unknown% ------------------------------ 2.05/2.27 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.05/2.27 % Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 2.05/2.27 2.05/2.27 % Memory used [KB]: 5117 2.05/2.27 % Time elapsed: 0.060 s 2.05/2.27 % ------------------------------ 2.05/2.27 % ------------------------------ 2.10/2.34 % 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 2.74/2.93 % Time limit reached! 2.74/2.93 % ------------------------------ 2.74/2.93 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.74/2.93 % Termination reason: Time limit 2.74/2.93 % Termination phase: Saturation 2.74/2.93 2.74/2.93 % Memory used [KB]: 10618 2.74/2.93 % Time elapsed: 0.600 s 2.74/2.93 % ------------------------------ 2.74/2.93 % ------------------------------ 2.76/3.00 % 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 2.77/3.08 % Refutation not found, SMT solver inside AVATAR returned Unknown% ------------------------------ 2.77/3.08 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.77/3.08 % Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 2.77/3.08 2.77/3.08 % Memory used [KB]: 639 2.77/3.08 % Time elapsed: 0.079 s 2.77/3.08 % ------------------------------ 2.77/3.08 % ------------------------------ 2.92/3.14 % 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 10.84/10.94 % Time limit reached! 10.84/10.94 % ------------------------------ 10.84/10.94 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 10.84/10.94 % Termination reason: Time limit 10.84/10.94 % Termination phase: Saturation 10.84/10.94 10.84/10.94 % Memory used [KB]: 22899 10.84/10.94 % Time elapsed: 7.800 s 10.84/10.94 % ------------------------------ 10.84/10.94 % ------------------------------ 10.91/11.00 % 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 10.98/11.06 % Refutation found. Thanks to Tanya! 10.98/11.06 % SZS status Theorem for theBenchmark 10.98/11.06 % SZS output start Proof for theBenchmark 10.98/11.06 tff(func_def_0, type, u: $real). 10.98/11.06 tff(func_def_1, type, v: $real). 10.98/11.06 tff(func_def_2, type, w: $real). 10.98/11.06 tff(func_def_3, type, x: $real). 10.98/11.06 tff(func_def_4, type, y: $real). 10.98/11.06 tff(func_def_5, type, s: $real). 10.98/11.06 tff(func_def_6, type, f: $real > $real). 10.98/11.06 tff(f111,plain,( 10.98/11.06 $false), 10.98/11.06 inference(avatar_sat_refutation,[],[f37,f45,f56,f66,f78,f88,f100,f110])). 10.98/11.06 tff(f110,plain,( 10.98/11.06 ~spl0_15), 10.98/11.06 inference(avatar_split_clause,[],[f103,f108])). 10.98/11.06 tff(f108,plain,( 10.98/11.06 spl0_15 <=> ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 10.98/11.06 tff(f103,plain,( 10.98/11.06 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 10.98/11.06 inference(equality_resolution,[],[f101])). 10.98/11.06 tff(f101,plain,( 10.98/11.06 ( ! [X0:$real] : (u != X0 | ~$less($sum(f(x),X0),$sum($product(v,v),f(y)))) )), 10.98/11.06 inference(equality_resolution,[],[f91])). 10.98/11.06 tff(f91,plain,( 10.98/11.06 ( ! [X0:$real,X1:$real] : (v != X0 | u != X1 | ~$less($sum(f(x),X1),$sum($product(X0,v),f(y)))) )), 10.98/11.06 inference(equality_resolution,[],[f89])). 10.98/11.06 tff(f89,plain,( 10.98/11.06 ( ! [X2:$real,X0:$real,X1:$real] : (v != X1 | v != X0 | u != X2 | ~$less($sum(f(x),X2),$sum($product(X0,X1),f(y)))) )), 10.98/11.06 inference(equality_resolution,[],[f69])). 10.98/11.06 tff(f69,plain,( 10.98/11.06 ( ! [X2:$real,X0:$real,X3:$real,X1:$real] : (f(x) != X3 | v != X1 | v != X2 | u != X0 | ~$less($sum(X3,X0),$sum($product(X1,X2),f(y)))) )), 10.98/11.06 inference(equality_resolution,[],[f22])). 10.98/11.06 tff(f22,plain,( 10.98/11.06 ( ! [X4:$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))) )), 10.98/11.06 inference(theory_flattening,[],[f15])). 10.98/11.06 tff(f15,plain,( 10.98/11.06 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 10.98/11.06 inference(cnf_transformation,[],[f13])). 10.98/11.06 tff(f13,plain,( 10.98/11.06 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 10.98/11.06 inference(flattening,[],[f3])). 10.98/11.06 tff(f3,negated_conjecture,( 10.98/11.06 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 10.98/11.06 inference(negated_conjecture,[],[f2])). 10.98/11.06 tff(f2,conjecture,( 10.98/11.06 $less($sum(f(x),u),$sum($product(v,v),f(y)))), 10.98/11.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion)). 10.98/11.06 tff(f100,plain,( 10.98/11.06 ~spl0_13 | spl0_9), 10.98/11.06 inference(avatar_split_clause,[],[f93,f76,f98])). 10.98/11.06 tff(f98,plain,( 10.98/11.06 spl0_13 <=> ~$less(f(f(y)),f(f(x)))), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 10.98/11.06 tff(f76,plain,( 10.98/11.06 spl0_9 <=> ~$less(f(y),f(x))), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 10.98/11.06 tff(f93,plain,( 10.98/11.06 ~$less(f(f(y)),f(f(x))) | ~spl0_9), 10.98/11.06 inference(equality_resolution,[],[f92])). 10.98/11.06 tff(f92,plain,( 10.98/11.06 ( ! [X0:$real] : (f(f(x)) != X0 | ~$less(f(f(y)),X0)) ) | ~spl0_9), 10.98/11.06 inference(equality_resolution,[],[f80])). 10.98/11.06 tff(f80,plain,( 10.98/11.06 ( ! [X0:$real,X1:$real] : (f(f(y)) != X0 | f(f(x)) != X1 | ~$less(X0,X1)) ) | ~spl0_9), 10.98/11.06 inference(resolution,[],[f77,f28])). 10.98/11.06 tff(f28,plain,( 10.98/11.06 ( ! [X2:$real,X0:$real,X3:$real,X1:$real] : (f(X0) != X2 | f(X1) != X3 | ~$less(X2,X3) | $less(X0,X1)) )), 10.98/11.06 inference(theory_flattening,[],[f21])). 10.98/11.06 tff(f21,plain,( 10.98/11.06 ( ! [X0:$real,X1:$real] : (~$less(f(X0),f(X1)) | $less(X0,X1)) )), 10.98/11.06 inference(cnf_transformation,[],[f14])). 10.98/11.06 tff(f14,plain,( 10.98/11.06 ! [X0 : $real,X1 : $real] : (~$less(f(X0),f(X1)) | $less(X0,X1))), 10.98/11.06 inference(ennf_transformation,[],[f12])). 10.98/11.06 tff(f12,plain,( 10.98/11.06 ! [X0 : $real,X1 : $real] : (~$less(X0,X1) => ~$less(f(X0),f(X1)))), 10.98/11.06 inference(evaluation,[],[f1])). 10.98/11.06 tff(f1,axiom,( 10.98/11.06 ! [X0 : $real,X1 : $real] : ($greatereq(X0,X1) => $greatereq(f(X0),f(X1)))), 10.98/11.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_non_decreasing)). 10.98/11.06 tff(f77,plain,( 10.98/11.06 ~$less(f(y),f(x)) | ~spl0_9), 10.98/11.06 inference(avatar_component_clause,[],[f76])). 10.98/11.06 tff(f88,plain,( 10.98/11.06 spl0_10), 10.98/11.06 inference(avatar_split_clause,[],[f81,f86])). 10.98/11.06 tff(f86,plain,( 10.98/11.06 spl0_10 <=> $less($product(0.333333,$sum(w,s)),v)), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 10.98/11.06 tff(f81,plain,( 10.98/11.06 $less($product(0.333333,$sum(w,s)),v)), 10.98/11.06 inference(equality_resolution,[],[f79])). 10.98/11.06 tff(f79,plain,( 10.98/11.06 ( ! [X0:$real] : (v != X0 | $less($product(0.333333,$sum(w,s)),X0)) )), 10.98/11.06 inference(equality_resolution,[],[f68])). 10.98/11.06 tff(f68,plain,( 10.98/11.06 ( ! [X0:$real,X1:$real] : (w != X0 | v != X1 | $less($product(0.333333,$sum(X0,s)),X1)) )), 10.98/11.06 inference(equality_resolution,[],[f29])). 10.98/11.06 tff(f29,plain,( 10.98/11.06 ( ! [X2:$real,X3:$real,X1:$real] : (s != X2 | w != X1 | v != X3 | $less($product(0.333333,$sum(X1,X2)),X3)) )), 10.98/11.06 inference(evaluation,[],[f27])). 10.98/11.06 tff(f27,plain,( 10.98/11.06 ( ! [X2:$real,X3:$real,X1:$real] : (w != X1 | s != X2 | v != X3 | $less($product($quotient(1.0,3.0),$sum(X1,X2)),X3)) )), 10.98/11.06 inference(theory_flattening,[],[f20])). 10.98/11.06 tff(f20,plain,( 10.98/11.06 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 10.98/11.06 inference(cnf_transformation,[],[f4])). 10.98/11.06 tff(f4,axiom,( 10.98/11.06 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 10.98/11.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_03)). 10.98/11.06 tff(f78,plain,( 10.98/11.06 ~spl0_9 | spl0_5), 10.98/11.06 inference(avatar_split_clause,[],[f71,f54,f76])). 10.98/11.06 tff(f54,plain,( 10.98/11.06 spl0_5 <=> ~$less(y,x)), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 10.98/11.06 tff(f71,plain,( 10.98/11.06 ~$less(f(y),f(x)) | ~spl0_5), 10.98/11.06 inference(equality_resolution,[],[f70])). 10.98/11.06 tff(f70,plain,( 10.98/11.06 ( ! [X0:$real] : (f(x) != X0 | ~$less(f(y),X0)) ) | ~spl0_5), 10.98/11.06 inference(equality_resolution,[],[f57])). 10.98/11.06 tff(f57,plain,( 10.98/11.06 ( ! [X0:$real,X1:$real] : (f(y) != X0 | f(x) != X1 | ~$less(X0,X1)) ) | ~spl0_5), 10.98/11.06 inference(resolution,[],[f55,f28])). 10.98/11.06 tff(f55,plain,( 10.98/11.06 ~$less(y,x) | ~spl0_5), 10.98/11.06 inference(avatar_component_clause,[],[f54])). 10.98/11.06 tff(f66,plain,( 10.98/11.06 spl0_6), 10.98/11.06 inference(avatar_split_clause,[],[f59,f64])). 10.98/11.06 tff(f64,plain,( 10.98/11.06 spl0_6 <=> $less(u,v)), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 10.98/11.06 tff(f59,plain,( 10.98/11.06 $less(u,v)), 10.98/11.06 inference(equality_resolution,[],[f58])). 10.98/11.06 tff(f58,plain,( 10.98/11.06 ( ! [X0:$real] : (u != X0 | $less(X0,v)) )), 10.98/11.06 inference(equality_resolution,[],[f26])). 10.98/11.06 tff(f26,plain,( 10.98/11.06 ( ! [X2:$real,X1:$real] : (v != X2 | u != X1 | $less(X1,X2)) )), 10.98/11.06 inference(theory_flattening,[],[f19])). 10.98/11.06 tff(f19,plain,( 10.98/11.06 $less(u,v)), 10.98/11.06 inference(cnf_transformation,[],[f6])). 10.98/11.06 tff(f6,axiom,( 10.98/11.06 $less(u,v)), 10.98/11.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis)). 10.98/11.06 tff(f56,plain,( 10.98/11.06 ~spl0_5), 10.98/11.06 inference(avatar_split_clause,[],[f49,f54])). 10.98/11.06 tff(f49,plain,( 10.98/11.06 ~$less(y,x)), 10.98/11.06 inference(equality_resolution,[],[f48])). 10.98/11.06 tff(f48,plain,( 10.98/11.06 ( ! [X0:$real] : (x != X0 | ~$less(y,X0)) )), 10.98/11.06 inference(equality_resolution,[],[f23])). 10.98/11.06 tff(f23,plain,( 10.98/11.06 ( ! [X2:$real,X1:$real] : (y != X1 | x != X2 | ~$less(X1,X2)) )), 10.98/11.06 inference(theory_flattening,[],[f16])). 10.98/11.06 tff(f16,plain,( 10.98/11.06 ~$less(y,x)), 10.98/11.06 inference(cnf_transformation,[],[f9])). 10.98/11.06 tff(f9,plain,( 10.98/11.06 ~$less(y,x)), 10.98/11.06 inference(evaluation,[],[f7])). 10.98/11.06 tff(f7,axiom,( 10.98/11.06 $lesseq(x,y)), 10.98/11.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_04)). 10.98/11.06 tff(f45,plain,( 10.98/11.06 spl0_2), 10.98/11.06 inference(avatar_split_clause,[],[f38,f43])). 10.98/11.06 tff(f43,plain,( 10.98/11.06 spl0_2 <=> $less(2.0,s)), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 10.98/11.06 tff(f38,plain,( 10.98/11.06 $less(2.0,s)), 10.98/11.06 inference(equality_resolution,[],[f25])). 10.98/11.06 tff(f25,plain,( 10.98/11.06 ( ! [X1:$real] : (s != X1 | $less(2.0,X1)) )), 10.98/11.06 inference(theory_flattening,[],[f18])). 10.98/11.06 tff(f18,plain,( 10.98/11.06 $less(2.0,s)), 10.98/11.06 inference(cnf_transformation,[],[f11])). 10.98/11.06 tff(f11,plain,( 10.98/11.06 $less(2.0,s)), 10.98/11.06 inference(evaluation,[],[f5])). 10.98/11.06 tff(f5,axiom,( 10.98/11.06 $greater(s,2.0)), 10.98/11.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_02)). 10.98/11.06 tff(f37,plain,( 10.98/11.06 spl0_0), 10.98/11.06 inference(avatar_split_clause,[],[f30,f35])). 10.98/11.06 tff(f35,plain,( 10.98/11.06 spl0_0 <=> $less(1.0,w)), 10.98/11.06 introduced(avatar_definition,[new_symbols(naming,[spl0_0])])). 10.98/11.06 tff(f30,plain,( 10.98/11.06 $less(1.0,w)), 10.98/11.06 inference(equality_resolution,[],[f24])). 10.98/11.06 tff(f24,plain,( 10.98/11.06 ( ! [X1:$real] : (w != X1 | $less(1.0,X1)) )), 10.98/11.06 inference(theory_flattening,[],[f17])). 10.98/11.06 tff(f17,plain,( 10.98/11.06 $less(1.0,w)), 10.98/11.06 inference(cnf_transformation,[],[f10])). 10.98/11.06 tff(f10,plain,( 10.98/11.06 $less(1.0,w)), 10.98/11.06 inference(evaluation,[],[f8])). 10.98/11.06 tff(f8,axiom,( 10.98/11.06 $greater(w,1.0)), 10.98/11.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01)). 10.98/11.06 % SZS output end Proof for theBenchmark 10.98/11.06 % ------------------------------ 10.98/11.06 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 10.98/11.06 % Termination reason: Refutation 10.98/11.06 10.98/11.06 % Memory used [KB]: 5117 10.98/11.06 % Time elapsed: 0.065 s 10.98/11.06 % ------------------------------ 10.98/11.06 % ------------------------------ 10.98/11.07 % Success in time 10.728 s 10.98/11.07 EOF