0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d 0.13/0.33 % Computer : n020.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 07:13:17 EDT 2020 0.13/0.33 % CPUTime : 0.20/0.46 % (28475)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.20/0.47 % (28493)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 0.20/0.50 % (28468)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.20/0.50 % (28470)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.20/0.50 % (28466)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.20/0.50 % (28478)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 0.20/0.50 % (28491)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 0.20/0.51 % (28469)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.20/0.51 % (28481)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 0.20/0.51 % (28477)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 0.20/0.51 % (28483)WARNING: option uwaf not known. 0.20/0.51 % (28483)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 0.20/0.51 % (28472)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.20/0.51 % (28482)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 0.20/0.51 % (28487)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 0.20/0.51 % (28465)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.20/0.51 % (28479)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 0.20/0.51 % (28473)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.20/0.51 % (28486)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 0.20/0.52 % (28494)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 0.20/0.52 % (28476)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 0.20/0.52 % (28474)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.20/0.52 % (28494)Refutation not found, incomplete strategy% (28494)------------------------------ 0.20/0.52 % (28494)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.52 % (28494)Termination reason: Refutation not found, incomplete strategy 0.20/0.52 0.20/0.52 % (28494)Memory used [KB]: 10490 0.20/0.52 % (28494)Time elapsed: 0.134 s 0.20/0.52 % (28494)------------------------------ 0.20/0.52 % (28494)------------------------------ 0.20/0.52 % (28485)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 0.20/0.52 % (28467)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.20/0.52 % (28488)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 0.20/0.52 % (28492)dis+10_6_afr=on:afp=1000:afq=1.2:anc=none:bsr=on:fsr=off:gs=on:lcm=reverse:nm=64:newcnf=on:nwc=1.7:sas=z3:tha=off_4 on theBenchmark 0.20/0.53 % (28489)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 0.20/0.53 % (28490)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 0.20/0.53 % (28480)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_6 on theBenchmark 0.20/0.53 % (28471)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.20/0.53 % (28476)Refutation not found, incomplete strategy% (28476)------------------------------ 0.20/0.53 % (28476)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.53 % (28476)Termination reason: Refutation not found, incomplete strategy 0.20/0.53 0.20/0.53 % (28476)Memory used [KB]: 6140 0.20/0.53 % (28476)Time elapsed: 0.137 s 0.20/0.53 % (28476)------------------------------ 0.20/0.53 % (28476)------------------------------ 0.20/0.54 % (28484)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.20/0.54 % (28484)Refutation not found, incomplete strategy% (28484)------------------------------ 0.20/0.54 % (28484)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.54 % (28484)Termination reason: Refutation not found, incomplete strategy 0.20/0.54 0.20/0.54 % (28484)Memory used [KB]: 6012 0.20/0.54 % (28484)Time elapsed: 0.155 s 0.20/0.54 % (28484)------------------------------ 0.20/0.54 % (28484)------------------------------ 1.86/0.60 % (28493)Refutation found. Thanks to Tanya! 1.86/0.60 % SZS status Theorem for theBenchmark 1.86/0.60 % SZS output start Proof for theBenchmark 1.86/0.60 tff(type_def_5, type, uni: $tType). 1.86/0.60 tff(type_def_6, type, ty: $tType). 1.86/0.60 tff(type_def_7, type, bool1: $tType). 1.86/0.60 tff(type_def_8, type, tuple02: $tType). 1.86/0.60 tff(func_def_0, type, witness1: ty > uni). 1.86/0.60 tff(func_def_1, type, int: ty). 1.86/0.60 tff(func_def_2, type, real: ty). 1.86/0.60 tff(func_def_3, type, bool: ty). 1.86/0.60 tff(func_def_4, type, true1: bool1). 1.86/0.60 tff(func_def_5, type, false1: bool1). 1.86/0.60 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 1.86/0.60 tff(func_def_7, type, tuple0: ty). 1.86/0.60 tff(func_def_8, type, tuple03: tuple02). 1.86/0.60 tff(func_def_9, type, qtmark: ty). 1.86/0.60 tff(func_def_10, type, ref: ty > ty). 1.86/0.60 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 1.86/0.60 tff(func_def_12, type, contents: (ty * uni) > uni). 1.86/0.60 tff(func_def_19, type, sK0: $int). 1.86/0.60 tff(func_def_20, type, sK1: $int). 1.86/0.60 tff(func_def_21, type, sK2: $int). 1.86/0.60 tff(func_def_22, type, sK3: $int). 1.86/0.60 tff(func_def_23, type, sK4: $int). 1.86/0.60 tff(func_def_24, type, sK5: $int). 1.86/0.60 tff(pred_def_1, type, sort1: (ty * uni) > $o). 1.86/0.60 tff(f121,plain,( 1.86/0.60 $false), 1.86/0.60 inference(avatar_sat_refutation,[],[f84,f88,f92,f93,f97,f98,f100,f102,f106,f110,f112,f120])). 1.86/0.60 tff(f120,plain,( 1.86/0.60 spl6_4 | ~spl6_8 | ~spl6_1 | ~spl6_11), 1.86/0.60 inference(avatar_split_clause,[],[f119,f104,f64,f86,f73])). 1.86/0.60 tff(f73,plain,( 1.86/0.60 spl6_4 <=> $less(sK2,0)), 1.86/0.60 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 1.86/0.60 tff(f86,plain,( 1.86/0.60 spl6_8 <=> $less(sK2,sK1)), 1.86/0.60 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 1.86/0.60 tff(f64,plain,( 1.86/0.60 spl6_1 <=> ! [X6 : $int] : (~$less(X6,sK1) | sK0 != $sum($product(sK3,sK1),X6) | $less(X6,0))), 1.86/0.60 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 1.86/0.60 tff(f104,plain,( 1.86/0.60 spl6_11 <=> sK0 = $sum($product(sK3,sK1),sK2)), 1.86/0.60 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 1.86/0.60 tff(f119,plain,( 1.86/0.60 ~$less(sK2,sK1) | $less(sK2,0) | (~spl6_1 | ~spl6_11)), 1.86/0.60 inference(trivial_inequality_removal,[],[f118])). 1.86/0.60 tff(f118,plain,( 1.86/0.60 sK0 != sK0 | ~$less(sK2,sK1) | $less(sK2,0) | (~spl6_1 | ~spl6_11)), 1.86/0.60 inference(superposition,[],[f65,f105])). 1.86/0.60 tff(f105,plain,( 1.86/0.60 sK0 = $sum($product(sK3,sK1),sK2) | ~spl6_11), 1.86/0.60 inference(avatar_component_clause,[],[f104])). 1.86/0.60 tff(f65,plain,( 1.86/0.60 ( ! [X6:$int] : (sK0 != $sum($product(sK3,sK1),X6) | ~$less(X6,sK1) | $less(X6,0)) ) | ~spl6_1), 1.86/0.60 inference(avatar_component_clause,[],[f64])). 1.86/0.60 tff(f112,plain,( 1.86/0.60 ~spl6_6), 1.86/0.60 inference(avatar_split_clause,[],[f39,f79])). 1.86/0.60 tff(f79,plain,( 1.86/0.60 spl6_6 <=> $less(sK0,0)), 1.86/0.60 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 1.86/0.61 tff(f39,plain,( 1.86/0.61 ~$less(sK0,0)), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f38,plain,( 1.86/0.61 (sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | ((((((~$less(sK5,sK2) | $less(sK2,0) | $less(sK5,0) | sK0 != $sum($product(sK4,sK1),sK5)) & $sum(sK2,$uminus(sK1)) = sK5) & $sum(sK3,1) = sK4) & ~$less(sK2,sK1)) | (! [X6 : $int] : (~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(sK3,sK1),X6)) & $less(sK2,sK1))) & ~$less(sK2,0) & sK0 = $sum($product(sK3,sK1),sK2))) & $less(0,sK1) & ~$less(sK0,0)), 1.86/0.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f27,f37,f36,f35,f34])). 1.86/0.61 tff(f34,plain,( 1.86/0.61 ? [X0 : $int,X1 : $int] : (($sum($product(0,X1),X0) != X0 | $less(X0,0) | ? [X2 : $int,X3 : $int] : (((? [X4 : $int] : (? [X5 : $int] : ((~$less(X5,X2) | $less(X2,0) | $less(X5,0) | $sum($product(X4,X1),X5) != X0) & $sum(X2,$uminus(X1)) = X5) & $sum(X3,1) = X4) & ~$less(X2,X1)) | (! [X6 : $int] : (~$less(X6,X1) | $less(X6,0) | $sum($product(X3,X1),X6) != X0) & $less(X2,X1))) & ~$less(X2,0) & $sum($product(X3,X1),X2) = X0)) & $less(0,X1) & ~$less(X0,0)) => ((sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | ? [X3 : $int,X2 : $int] : (((? [X4 : $int] : (? [X5 : $int] : ((~$less(X5,X2) | $less(X2,0) | $less(X5,0) | sK0 != $sum($product(X4,sK1),X5)) & $sum(X2,$uminus(sK1)) = X5) & $sum(X3,1) = X4) & ~$less(X2,sK1)) | (! [X6 : $int] : (~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(X3,sK1),X6)) & $less(X2,sK1))) & ~$less(X2,0) & sK0 = $sum($product(X3,sK1),X2))) & $less(0,sK1) & ~$less(sK0,0))), 1.86/0.61 introduced(choice_axiom,[])). 1.86/0.61 tff(f35,plain,( 1.86/0.61 ? [X3 : $int,X2 : $int] : (((? [X4 : $int] : (? [X5 : $int] : ((~$less(X5,X2) | $less(X2,0) | $less(X5,0) | sK0 != $sum($product(X4,sK1),X5)) & $sum(X2,$uminus(sK1)) = X5) & $sum(X3,1) = X4) & ~$less(X2,sK1)) | (! [X6 : $int] : (~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(X3,sK1),X6)) & $less(X2,sK1))) & ~$less(X2,0) & sK0 = $sum($product(X3,sK1),X2)) => (((? [X4 : $int] : (? [X5 : $int] : ((~$less(X5,sK2) | $less(sK2,0) | $less(X5,0) | sK0 != $sum($product(X4,sK1),X5)) & $sum(sK2,$uminus(sK1)) = X5) & $sum(sK3,1) = X4) & ~$less(sK2,sK1)) | (! [X6 : $int] : (~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(sK3,sK1),X6)) & $less(sK2,sK1))) & ~$less(sK2,0) & sK0 = $sum($product(sK3,sK1),sK2))), 1.86/0.61 introduced(choice_axiom,[])). 1.86/0.61 tff(f36,plain,( 1.86/0.61 ? [X4 : $int] : (? [X5 : $int] : ((~$less(X5,sK2) | $less(sK2,0) | $less(X5,0) | sK0 != $sum($product(X4,sK1),X5)) & $sum(sK2,$uminus(sK1)) = X5) & $sum(sK3,1) = X4) => (? [X5 : $int] : ((~$less(X5,sK2) | $less(sK2,0) | $less(X5,0) | sK0 != $sum($product(sK4,sK1),X5)) & $sum(sK2,$uminus(sK1)) = X5) & $sum(sK3,1) = sK4)), 1.86/0.61 introduced(choice_axiom,[])). 1.86/0.61 tff(f37,plain,( 1.86/0.61 ? [X5 : $int] : ((~$less(X5,sK2) | $less(sK2,0) | $less(X5,0) | sK0 != $sum($product(sK4,sK1),X5)) & $sum(sK2,$uminus(sK1)) = X5) => ((~$less(sK5,sK2) | $less(sK2,0) | $less(sK5,0) | sK0 != $sum($product(sK4,sK1),sK5)) & $sum(sK2,$uminus(sK1)) = sK5)), 1.86/0.61 introduced(choice_axiom,[])). 1.86/0.61 tff(f27,plain,( 1.86/0.61 ? [X0 : $int,X1 : $int] : (($sum($product(0,X1),X0) != X0 | $less(X0,0) | ? [X2 : $int,X3 : $int] : (((? [X4 : $int] : (? [X5 : $int] : ((~$less(X5,X2) | $less(X2,0) | $less(X5,0) | $sum($product(X4,X1),X5) != X0) & $sum(X2,$uminus(X1)) = X5) & $sum(X3,1) = X4) & ~$less(X2,X1)) | (! [X6 : $int] : (~$less(X6,X1) | $less(X6,0) | $sum($product(X3,X1),X6) != X0) & $less(X2,X1))) & ~$less(X2,0) & $sum($product(X3,X1),X2) = X0)) & $less(0,X1) & ~$less(X0,0))), 1.86/0.61 inference(flattening,[],[f26])). 1.86/0.61 tff(f26,plain,( 1.86/0.61 ? [X0 : $int,X1 : $int] : (($sum($product(0,X1),X0) != X0 | $less(X0,0) | ? [X2 : $int,X3 : $int] : (((? [X4 : $int] : (? [X5 : $int] : ((~$less(X5,X2) | $less(X2,0) | $less(X5,0) | $sum($product(X4,X1),X5) != X0) & $sum(X2,$uminus(X1)) = X5) & $sum(X3,1) = X4) & ~$less(X2,X1)) | (! [X6 : $int] : (~$less(X6,X1) | $less(X6,0) | $sum($product(X3,X1),X6) != X0) & $less(X2,X1))) & (~$less(X2,0) & $sum($product(X3,X1),X2) = X0))) & ($less(0,X1) & ~$less(X0,0)))), 1.86/0.61 inference(ennf_transformation,[],[f17])). 1.86/0.61 tff(f17,plain,( 1.86/0.61 ~! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(X0,0)) => ($sum($product(0,X1),X0) = X0 & ~$less(X0,0) & ! [X2 : $int,X3 : $int] : ((~$less(X2,0) & $sum($product(X3,X1),X2) = X0) => ((~$less(X2,X1) => ! [X4 : $int] : ($sum(X3,1) = X4 => ! [X5 : $int] : ($sum(X2,$uminus(X1)) = X5 => ($less(X5,X2) & ~$less(X2,0) & ~$less(X5,0) & $sum($product(X4,X1),X5) = X0)))) & ($less(X2,X1) => ? [X6 : $int] : ($less(X6,X1) & ~$less(X6,0) & $sum($product(X3,X1),X6) = X0))))))), 1.86/0.61 inference(rectify,[],[f15])). 1.86/0.61 tff(f15,plain,( 1.86/0.61 ~! [X0 : $int,X8 : $int] : (($less(0,X8) & ~$less(X0,0)) => ($sum($product(0,X8),X0) = X0 & ~$less(X0,0) & ! [X9 : $int,X10 : $int] : ((~$less(X9,0) & $sum($product(X10,X8),X9) = X0) => ((~$less(X9,X8) => ! [X12 : $int] : ($sum(X10,1) = X12 => ! [X11 : $int] : ($sum(X9,$uminus(X8)) = X11 => ($less(X11,X9) & ~$less(X9,0) & ~$less(X11,0) & $sum($product(X12,X8),X11) = X0)))) & ($less(X9,X8) => ? [X11 : $int] : ($less(X11,X8) & ~$less(X11,0) & $sum($product(X10,X8),X11) = X0))))))), 1.86/0.61 inference(theory_normalization,[],[f9])). 1.86/0.61 tff(f9,negated_conjecture,( 1.86/0.61 ~! [X0 : $int,X8 : $int] : (($less(0,X8) & $lesseq(0,X0)) => ($sum($product(0,X8),X0) = X0 & $lesseq(0,X0) & ! [X9 : $int,X10 : $int] : (($lesseq(0,X9) & $sum($product(X10,X8),X9) = X0) => (($lesseq(X8,X9) => ! [X12 : $int] : ($sum(X10,1) = X12 => ! [X11 : $int] : ($difference(X9,X8) = X11 => ($less(X11,X9) & $lesseq(0,X9) & $lesseq(0,X11) & $sum($product(X12,X8),X11) = X0)))) & (~$lesseq(X8,X9) => ? [X11 : $int] : ($less(X11,X8) & $lesseq(0,X11) & $sum($product(X10,X8),X11) = X0))))))), 1.86/0.61 inference(negated_conjecture,[],[f8])). 1.86/0.61 tff(f8,conjecture,( 1.86/0.61 ! [X0 : $int,X8 : $int] : (($less(0,X8) & $lesseq(0,X0)) => ($sum($product(0,X8),X0) = X0 & $lesseq(0,X0) & ! [X9 : $int,X10 : $int] : (($lesseq(0,X9) & $sum($product(X10,X8),X9) = X0) => (($lesseq(X8,X9) => ! [X12 : $int] : ($sum(X10,1) = X12 => ! [X11 : $int] : ($difference(X9,X8) = X11 => ($less(X11,X9) & $lesseq(0,X9) & $lesseq(0,X11) & $sum($product(X12,X8),X11) = X0)))) & (~$lesseq(X8,X9) => ? [X11 : $int] : ($less(X11,X8) & $lesseq(0,X11) & $sum($product(X10,X8),X11) = X0))))))), 1.86/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_division)). 1.86/0.61 tff(f110,plain,( 1.86/0.61 spl6_12), 1.86/0.61 inference(avatar_split_clause,[],[f40,f108])). 1.86/0.61 tff(f108,plain,( 1.86/0.61 spl6_12 <=> $less(0,sK1)), 1.86/0.61 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 1.86/0.61 tff(f40,plain,( 1.86/0.61 $less(0,sK1)), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f106,plain,( 1.86/0.61 spl6_11 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f41,f82,f79,f104])). 1.86/0.61 tff(f82,plain,( 1.86/0.61 spl6_7 <=> sK0 = $sum($product(0,sK1),sK0)), 1.86/0.61 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 1.86/0.61 tff(f41,plain,( 1.86/0.61 sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | sK0 = $sum($product(sK3,sK1),sK2)), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f102,plain,( 1.86/0.61 ~spl6_4 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f42,f82,f79,f73])). 1.86/0.61 tff(f42,plain,( 1.86/0.61 sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | ~$less(sK2,0)), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f100,plain,( 1.86/0.61 spl6_1 | ~spl6_8 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f44,f82,f79,f86,f64])). 1.86/0.61 tff(f44,plain,( 1.86/0.61 ( ! [X6:$int] : (sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | ~$less(sK2,sK1) | ~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(sK3,sK1),X6)) )), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f98,plain,( 1.86/0.61 spl6_8 | spl6_10 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f45,f82,f79,f95,f86])). 1.86/0.61 tff(f95,plain,( 1.86/0.61 spl6_10 <=> $sum(sK3,1) = sK4), 1.86/0.61 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 1.86/0.61 tff(f45,plain,( 1.86/0.61 sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | $sum(sK3,1) = sK4 | $less(sK2,sK1)), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f97,plain,( 1.86/0.61 spl6_1 | spl6_10 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f46,f82,f79,f95,f64])). 1.86/0.61 tff(f46,plain,( 1.86/0.61 ( ! [X6:$int] : (sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | $sum(sK3,1) = sK4 | ~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(sK3,sK1),X6)) )), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f93,plain,( 1.86/0.61 spl6_8 | spl6_9 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f47,f82,f79,f90,f86])). 1.86/0.61 tff(f90,plain,( 1.86/0.61 spl6_9 <=> $sum(sK2,$uminus(sK1)) = sK5), 1.86/0.61 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 1.86/0.61 tff(f47,plain,( 1.86/0.61 sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | $sum(sK2,$uminus(sK1)) = sK5 | $less(sK2,sK1)), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f92,plain,( 1.86/0.61 spl6_1 | spl6_9 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f48,f82,f79,f90,f64])). 1.86/0.61 tff(f48,plain,( 1.86/0.61 ( ! [X6:$int] : (sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | $sum(sK2,$uminus(sK1)) = sK5 | ~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(sK3,sK1),X6)) )), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f88,plain,( 1.86/0.61 spl6_8 | ~spl6_2 | spl6_3 | spl6_4 | ~spl6_5 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f49,f82,f79,f76,f73,f70,f67,f86])). 1.86/0.61 tff(f67,plain,( 1.86/0.61 spl6_2 <=> sK0 = $sum($product(sK4,sK1),sK5)), 1.86/0.61 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 1.86/0.61 tff(f70,plain,( 1.86/0.61 spl6_3 <=> $less(sK5,0)), 1.86/0.61 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 1.86/0.61 tff(f76,plain,( 1.86/0.61 spl6_5 <=> $less(sK5,sK2)), 1.86/0.61 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 1.86/0.61 tff(f49,plain,( 1.86/0.61 sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | ~$less(sK5,sK2) | $less(sK2,0) | $less(sK5,0) | sK0 != $sum($product(sK4,sK1),sK5) | $less(sK2,sK1)), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 tff(f84,plain,( 1.86/0.61 spl6_1 | ~spl6_2 | spl6_3 | spl6_4 | ~spl6_5 | spl6_6 | ~spl6_7), 1.86/0.61 inference(avatar_split_clause,[],[f50,f82,f79,f76,f73,f70,f67,f64])). 1.86/0.61 tff(f50,plain,( 1.86/0.61 ( ! [X6:$int] : (sK0 != $sum($product(0,sK1),sK0) | $less(sK0,0) | ~$less(sK5,sK2) | $less(sK2,0) | $less(sK5,0) | sK0 != $sum($product(sK4,sK1),sK5) | ~$less(X6,sK1) | $less(X6,0) | sK0 != $sum($product(sK3,sK1),X6)) )), 1.86/0.61 inference(cnf_transformation,[],[f38])). 1.86/0.61 % SZS output end Proof for theBenchmark 1.86/0.61 % (28493)------------------------------ 1.86/0.61 % (28493)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.86/0.61 % (28493)Termination reason: Refutation 1.86/0.61 1.86/0.61 % (28493)Memory used [KB]: 6012 1.86/0.61 % (28493)Time elapsed: 0.206 s 1.86/0.61 % (28493)------------------------------ 1.86/0.61 % (28493)------------------------------ 1.86/0.61 % (28464)Success in time 0.259 s 2.01/0.61 EOF