0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.35 % Computer : n027.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 02:25:21 EDT 2022 0.14/0.35 % CPUTime : 0.14/0.35 This is a TFF_ problem 0.14/0.36 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % (9900)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (9906)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 0.22/0.42 % (9902)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=on: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 0.22/0.42 % (9903)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 0.22/0.42 % (9907)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 0.22/0.42 % (9905)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 0.22/0.43 % (9908)lrs+1_1024_av=off:bs=on:fde=none:inw=on:irw=on:nm=64:nwc=1.2:stl=60:sp=reverse_arity:tha=off:urr=on:updr=off:uhcvi=on_595 on theBenchmark 0.22/0.43 % (9901)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 0.22/0.43 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 0.22/0.43 % (9904)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 0.22/0.49 % (9907)First to succeed. 0.22/0.50 % (9907)Refutation found. Thanks to Tanya! 0.22/0.50 % SZS status Theorem for theBenchmark 0.22/0.50 % SZS output start Proof for theBenchmark 0.22/0.50 tff(func_def_0, type, u: $real). 0.22/0.50 tff(func_def_1, type, v: $real). 0.22/0.50 tff(func_def_2, type, w: $real). 0.22/0.50 tff(func_def_3, type, x: $real). 0.22/0.50 tff(func_def_4, type, y: $real). 0.22/0.50 tff(func_def_5, type, s: $real). 0.22/0.50 tff(func_def_6, type, f: ($real) > $real). 0.22/0.50 tff(f95,plain,( 0.22/0.50 $false), 0.22/0.50 inference(avatar_smt_refutation,[],[f35,f41,f50,f58,f68,f76,f86,f94])). 0.22/0.50 tff(f94,plain,( 0.22/0.50 ~spl0_8), 0.22/0.50 inference(avatar_split_clause,[],[f89,f91])). 0.22/0.50 tff(f91,plain,( 0.22/0.50 spl0_8 <=> $less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.22/0.50 tff(f89,plain,( 0.22/0.50 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.22/0.50 inference(equality_resolution,[],[f87])). 0.22/0.50 tff(f87,plain,( 0.22/0.50 ( ! [X0 : $real] : (u != X0 | ~$less($sum(f(x),X0),$sum($product(v,v),f(y)))) )), 0.22/0.50 inference(equality_resolution,[],[f79])). 0.22/0.50 tff(f79,plain,( 0.22/0.50 ( ! [X0 : $real,X1 : $real] : (v != X0 | u != X1 | ~$less($sum(f(x),X1),$sum($product(X0,v),f(y)))) )), 0.22/0.50 inference(equality_resolution,[],[f77])). 0.22/0.50 tff(f77,plain,( 0.22/0.50 ( ! [X2 : $real,X0 : $real,X1 : $real] : (v != X1 | v != X0 | u != X2 | ~$less($sum(f(x),X2),$sum($product(X0,X1),f(y)))) )), 0.22/0.50 inference(equality_resolution,[],[f61])). 0.22/0.50 tff(f61,plain,( 0.22/0.50 ( ! [X2 : $real,X3 : $real,X0 : $real,X1 : $real] : (f(x) != X3 | v != X1 | v != X2 | u != X0 | ~$less($sum(X3,X0),$sum($product(X1,X2),f(y)))) )), 0.22/0.50 inference(equality_resolution,[],[f22])). 0.22/0.50 tff(f22,plain,( 0.22/0.50 ( ! [X2 : $real,X3 : $real,X1 : $real,X4 : $real,X5 : $real] : (f(y) != X5 | u != X2 | v != X3 | v != X4 | f(x) != X1 | ~$less($sum(X1,X2),$sum($product(X3,X4),X5))) )), 0.22/0.50 inference(theory_flattening,[],[f15])). 0.22/0.50 tff(f15,plain,( 0.22/0.50 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.22/0.50 inference(cnf_transformation,[],[f13])). 0.22/0.50 tff(f13,plain,( 0.22/0.50 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.22/0.50 inference(flattening,[],[f2])). 0.22/0.50 tff(f2,negated_conjecture,( 0.22/0.50 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.22/0.50 inference(negated_conjecture,[],[f1])). 0.22/0.50 tff(f1,conjecture,( 0.22/0.50 $less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion)). 0.22/0.50 tff(f86,plain,( 0.22/0.50 ~spl0_7 | spl0_5), 0.22/0.50 inference(avatar_split_clause,[],[f81,f65,f83])). 0.22/0.50 tff(f83,plain,( 0.22/0.50 spl0_7 <=> $less(f(f(y)),f(f(x)))), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.22/0.50 tff(f65,plain,( 0.22/0.50 spl0_5 <=> $less(f(y),f(x))), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.22/0.50 tff(f81,plain,( 0.22/0.50 ~$less(f(f(y)),f(f(x))) | spl0_5), 0.22/0.50 inference(equality_resolution,[],[f80])). 0.22/0.50 tff(f80,plain,( 0.22/0.50 ( ! [X0 : $real] : (f(f(x)) != X0 | ~$less(f(f(y)),X0)) ) | spl0_5), 0.22/0.50 inference(equality_resolution,[],[f70])). 0.22/0.50 tff(f70,plain,( 0.22/0.50 ( ! [X0 : $real,X1 : $real] : (f(f(y)) != X0 | f(f(x)) != X1 | ~$less(X0,X1)) ) | spl0_5), 0.22/0.50 inference(resolution,[],[f67,f28])). 0.22/0.50 tff(f28,plain,( 0.22/0.50 ( ! [X2 : $real,X3 : $real,X0 : $real,X1 : $real] : (f(X0) != X2 | f(X1) != X3 | ~$less(X2,X3) | $less(X0,X1)) )), 0.22/0.50 inference(theory_flattening,[],[f21])). 0.22/0.50 tff(f21,plain,( 0.22/0.50 ( ! [X0 : $real,X1 : $real] : (~$less(f(X0),f(X1)) | $less(X0,X1)) )), 0.22/0.50 inference(cnf_transformation,[],[f14])). 0.22/0.50 tff(f14,plain,( 0.22/0.50 ! [X0 : $real,X1 : $real] : (~$less(f(X0),f(X1)) | $less(X0,X1))), 0.22/0.50 inference(ennf_transformation,[],[f12])). 0.22/0.50 tff(f12,plain,( 0.22/0.50 ! [X0 : $real,X1 : $real] : (~$less(X0,X1) => ~$less(f(X0),f(X1)))), 0.22/0.50 inference(theory_normalization,[],[f7])). 0.22/0.50 tff(f7,axiom,( 0.22/0.50 ! [X0 : $real,X1 : $real] : ($greatereq(X0,X1) => $greatereq(f(X0),f(X1)))), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_non_decreasing)). 0.22/0.50 tff(f67,plain,( 0.22/0.50 ~$less(f(y),f(x)) | spl0_5), 0.22/0.50 inference(avatar_component_clause,[],[f65])). 0.22/0.50 tff(f76,plain,( 0.22/0.50 spl0_6), 0.22/0.50 inference(avatar_split_clause,[],[f71,f73])). 0.22/0.50 tff(f73,plain,( 0.22/0.50 spl0_6 <=> $less($product(0.333333,$sum(w,s)),v)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.22/0.50 tff(f71,plain,( 0.22/0.50 $less($product(0.333333,$sum(w,s)),v)), 0.22/0.50 inference(equality_resolution,[],[f69])). 0.22/0.50 tff(f69,plain,( 0.22/0.50 ( ! [X0 : $real] : (v != X0 | $less($product(0.333333,$sum(w,s)),X0)) )), 0.22/0.50 inference(equality_resolution,[],[f60])). 0.22/0.50 tff(f60,plain,( 0.22/0.50 ( ! [X0 : $real,X1 : $real] : (w != X0 | v != X1 | $less($product(0.333333,$sum(X0,s)),X1)) )), 0.22/0.50 inference(equality_resolution,[],[f29])). 0.22/0.50 tff(f29,plain,( 0.22/0.50 ( ! [X2 : $real,X3 : $real,X1 : $real] : (s != X2 | w != X1 | v != X3 | $less($product(0.333333,$sum(X1,X2)),X3)) )), 0.22/0.50 inference(evaluation,[],[f27])). 0.22/0.50 tff(f27,plain,( 0.22/0.50 ( ! [X2 : $real,X3 : $real,X1 : $real] : (w != X1 | s != X2 | v != X3 | $less($product($quotient(1.0,3.0),$sum(X1,X2)),X3)) )), 0.22/0.50 inference(theory_flattening,[],[f20])). 0.22/0.50 tff(f20,plain,( 0.22/0.50 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 0.22/0.50 inference(cnf_transformation,[],[f8])). 0.22/0.50 tff(f8,axiom,( 0.22/0.50 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_03)). 0.22/0.50 tff(f68,plain,( 0.22/0.50 ~spl0_5 | spl0_3), 0.22/0.50 inference(avatar_split_clause,[],[f63,f47,f65])). 0.22/0.50 tff(f47,plain,( 0.22/0.50 spl0_3 <=> $less(y,x)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.22/0.50 tff(f63,plain,( 0.22/0.50 ~$less(f(y),f(x)) | spl0_3), 0.22/0.50 inference(equality_resolution,[],[f62])). 0.22/0.50 tff(f62,plain,( 0.22/0.50 ( ! [X0 : $real] : (f(x) != X0 | ~$less(f(y),X0)) ) | spl0_3), 0.22/0.50 inference(equality_resolution,[],[f51])). 0.22/0.50 tff(f51,plain,( 0.22/0.50 ( ! [X0 : $real,X1 : $real] : (f(y) != X0 | f(x) != X1 | ~$less(X0,X1)) ) | spl0_3), 0.22/0.50 inference(resolution,[],[f49,f28])). 0.22/0.50 tff(f49,plain,( 0.22/0.50 ~$less(y,x) | spl0_3), 0.22/0.50 inference(avatar_component_clause,[],[f47])). 0.22/0.50 tff(f58,plain,( 0.22/0.50 spl0_4), 0.22/0.50 inference(avatar_split_clause,[],[f53,f55])). 0.22/0.50 tff(f55,plain,( 0.22/0.50 spl0_4 <=> $less(u,v)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.22/0.50 tff(f53,plain,( 0.22/0.50 $less(u,v)), 0.22/0.50 inference(equality_resolution,[],[f52])). 0.22/0.50 tff(f52,plain,( 0.22/0.50 ( ! [X0 : $real] : (u != X0 | $less(X0,v)) )), 0.22/0.50 inference(equality_resolution,[],[f26])). 0.22/0.50 tff(f26,plain,( 0.22/0.50 ( ! [X2 : $real,X1 : $real] : (v != X2 | u != X1 | $less(X1,X2)) )), 0.22/0.50 inference(theory_flattening,[],[f19])). 0.22/0.50 tff(f19,plain,( 0.22/0.50 $less(u,v)), 0.22/0.50 inference(cnf_transformation,[],[f4])). 0.22/0.50 tff(f4,axiom,( 0.22/0.50 $less(u,v)), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis)). 0.22/0.50 tff(f50,plain,( 0.22/0.50 ~spl0_3), 0.22/0.50 inference(avatar_split_clause,[],[f45,f47])). 0.22/0.50 tff(f45,plain,( 0.22/0.50 ~$less(y,x)), 0.22/0.50 inference(equality_resolution,[],[f44])). 0.22/0.50 tff(f44,plain,( 0.22/0.50 ( ! [X0 : $real] : (x != X0 | ~$less(y,X0)) )), 0.22/0.50 inference(equality_resolution,[],[f23])). 0.22/0.50 tff(f23,plain,( 0.22/0.50 ( ! [X2 : $real,X1 : $real] : (y != X1 | x != X2 | ~$less(X1,X2)) )), 0.22/0.50 inference(theory_flattening,[],[f16])). 0.22/0.50 tff(f16,plain,( 0.22/0.50 ~$less(y,x)), 0.22/0.50 inference(cnf_transformation,[],[f9])). 0.22/0.50 tff(f9,plain,( 0.22/0.50 ~$less(y,x)), 0.22/0.50 inference(theory_normalization,[],[f6])). 0.22/0.50 tff(f6,axiom,( 0.22/0.50 $lesseq(x,y)), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_04)). 0.22/0.50 tff(f41,plain,( 0.22/0.50 spl0_2), 0.22/0.50 inference(avatar_split_clause,[],[f36,f38])). 0.22/0.50 tff(f38,plain,( 0.22/0.50 spl0_2 <=> $less(1.0,w)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.22/0.50 tff(f36,plain,( 0.22/0.50 $less(1.0,w)), 0.22/0.50 inference(equality_resolution,[],[f25])). 0.22/0.50 tff(f25,plain,( 0.22/0.50 ( ! [X1 : $real] : (w != X1 | $less(1.0,X1)) )), 0.22/0.50 inference(theory_flattening,[],[f18])). 0.22/0.50 tff(f18,plain,( 0.22/0.50 $less(1.0,w)), 0.22/0.50 inference(cnf_transformation,[],[f11])). 0.22/0.50 tff(f11,plain,( 0.22/0.50 $less(1.0,w)), 0.22/0.50 inference(theory_normalization,[],[f5])). 0.22/0.50 tff(f5,axiom,( 0.22/0.50 $greater(w,1.0)), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01)). 0.22/0.50 tff(f35,plain,( 0.22/0.50 spl0_1), 0.22/0.50 inference(avatar_split_clause,[],[f30,f32])). 0.22/0.50 tff(f32,plain,( 0.22/0.50 spl0_1 <=> $less(2.0,s)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.22/0.50 tff(f30,plain,( 0.22/0.50 $less(2.0,s)), 0.22/0.50 inference(equality_resolution,[],[f24])). 0.22/0.50 tff(f24,plain,( 0.22/0.50 ( ! [X1 : $real] : (s != X1 | $less(2.0,X1)) )), 0.22/0.50 inference(theory_flattening,[],[f17])). 0.22/0.50 tff(f17,plain,( 0.22/0.50 $less(2.0,s)), 0.22/0.50 inference(cnf_transformation,[],[f10])). 0.22/0.50 tff(f10,plain,( 0.22/0.50 $less(2.0,s)), 0.22/0.50 inference(theory_normalization,[],[f3])). 0.22/0.50 tff(f3,axiom,( 0.22/0.50 $greater(s,2.0)), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_02)). 0.22/0.50 % SZS output end Proof for theBenchmark 0.22/0.50 % (9907)------------------------------ 0.22/0.50 % (9907)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.22/0.50 % (9907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.22/0.50 % (9907)Termination reason: Refutation 0.22/0.50 0.22/0.50 % (9907)Memory used [KB]: 6268 0.22/0.50 % (9907)Time elapsed: 0.073 s 0.22/0.50 % (9907)------------------------------ 0.22/0.50 % (9907)------------------------------ 0.22/0.50 % (9900)Success in time 0.133 s 0.22/0.50 EOF