0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : run_vampire %s %d 0.13/0.33 % Computer : n005.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 06:41:06 EDT 2020 0.13/0.33 % CPUTime : 0.20/0.50 % (30496)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 0.20/0.50 % (30480)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 % (30475)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 0.20/0.51 % (30488)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 0.20/0.51 % (30485)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 % (30492)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 0.20/0.51 % (30478)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 0.20/0.51 % (30484)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 % (30484)Refutation not found, incomplete strategy% (30484)------------------------------ 0.20/0.52 % (30484)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.52 % (30476)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 0.20/0.52 % (30484)Termination reason: Refutation not found, incomplete strategy 0.20/0.52 0.20/0.52 % (30484)Memory used [KB]: 6140 0.20/0.52 % (30484)Time elapsed: 0.108 s 0.20/0.52 % (30484)------------------------------ 0.20/0.52 % (30484)------------------------------ 0.20/0.52 % (30487)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 0.20/0.52 % (30499)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 0.20/0.52 % (30473)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 0.20/0.52 % (30494)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 0.20/0.53 % (30483)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 0.20/0.53 % (30491)WARNING: option uwaf not known. 0.20/0.53 % (30490)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 0.20/0.53 % (30491)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 0.20/0.53 % (30492)Refutation not found, incomplete strategy% (30492)------------------------------ 0.20/0.53 % (30492)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.53 % (30492)Termination reason: Refutation not found, incomplete strategy 0.20/0.53 % (30479)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 0.20/0.53 % (30492)Memory used [KB]: 6012 0.20/0.53 % (30492)Time elapsed: 0.112 s 0.20/0.53 % (30492)------------------------------ 0.20/0.53 % (30492)------------------------------ 0.20/0.53 % (30474)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 0.20/0.53 % (30477)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 0.20/0.53 % (30502)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 0.20/0.53 % (30502)Refutation not found, incomplete strategy% (30502)------------------------------ 0.20/0.53 % (30502)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.53 % (30502)Termination reason: Refutation not found, incomplete strategy 0.20/0.53 0.20/0.53 % (30502)Memory used [KB]: 10490 0.20/0.53 % (30502)Time elapsed: 0.130 s 0.20/0.53 % (30502)------------------------------ 0.20/0.53 % (30502)------------------------------ 0.20/0.53 % (30497)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 % (30493)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 0.20/0.53 % (30500)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 0.20/0.54 % (30501)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 0.20/0.54 % (30489)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 0.20/0.54 % (30498)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 0.20/0.54 % (30495)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 0.20/0.54 % (30481)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 0.20/0.54 % (30482)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 0.20/0.55 % (30486)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 2.16/0.67 % (30505)WARNING: option uwaf not known. 2.16/0.68 % (30503)lrs-11_3:1_awrs=converge:awrsf=1:av=off:bce=on:cond=fast:fde=none:gs=on:gsem=off:lwlo=on:nm=16:newcnf=on:nwc=2:stl=90:s2a=on:sos=theory:sp=weighted_frequency:tha=some:uwa=one_side_constant:urr=on:updr=off:uhcvi=on_234 on theBenchmark 2.16/0.68 % (30496)Refutation not found, incomplete strategy% (30496)------------------------------ 2.16/0.68 % (30496)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.16/0.69 % (30504)dis-1_2:1_afr=on:afp=10000:afq=2.0:anc=none:cond=on:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:irw=on:lcm=predicate:lma=on:nm=32:nwc=1:sas=z3:sos=all:sp=reverse_arity:tha=off:uwa=ground_4 on theBenchmark 2.16/0.69 % (30496)Termination reason: Refutation not found, incomplete strategy 2.16/0.69 2.16/0.69 % (30496)Memory used [KB]: 6012 2.16/0.69 % (30496)Time elapsed: 0.259 s 2.16/0.69 % (30496)------------------------------ 2.16/0.69 % (30496)------------------------------ 2.16/0.69 % (30505)lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_359 on theBenchmark 2.16/0.69 % (30490)Refutation not found, incomplete strategy% (30490)------------------------------ 2.16/0.69 % (30490)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.16/0.69 % (30490)Termination reason: Refutation not found, incomplete strategy 2.16/0.69 2.16/0.69 % (30490)Memory used [KB]: 6012 2.16/0.69 % (30490)Time elapsed: 0.293 s 2.16/0.69 % (30490)------------------------------ 2.16/0.69 % (30490)------------------------------ 3.16/0.82 % (30475)Refutation found. Thanks to Tanya! 3.16/0.82 % SZS status Theorem for theBenchmark 3.16/0.82 % SZS output start Proof for theBenchmark 3.16/0.82 tff(type_def_5, type, collection: $tType). 3.16/0.82 tff(func_def_0, type, empty: collection). 3.16/0.82 tff(func_def_1, type, add: ($int * collection) > collection). 3.16/0.82 tff(func_def_2, type, remove: ($int * collection) > collection). 3.16/0.82 tff(func_def_3, type, count: collection > $int). 3.16/0.82 tff(func_def_10, type, sK0: collection). 3.16/0.82 tff(func_def_11, type, sK1: $int). 3.16/0.82 tff(func_def_12, type, sK2: $int). 3.16/0.82 tff(func_def_13, type, sK3: $int). 3.16/0.82 tff(pred_def_1, type, in: ($int * collection) > $o). 3.16/0.82 tff(f1513,plain,( 3.16/0.82 $false), 3.16/0.82 inference(avatar_sat_refutation,[],[f79,f83,f87,f91,f95,f99,f108,f112,f116,f125,f129,f133,f142,f146,f150,f178,f185,f197,f204,f216,f223,f235,f287,f288,f295,f299,f633,f637,f1417,f1421,f1445,f1449,f1456,f1460,f1464,f1468,f1475,f1486,f1490,f1497,f1503,f1508,f1512])). 3.16/0.82 tff(f1512,plain,( 3.16/0.82 spl4_46 | ~spl4_37), 3.16/0.82 inference(avatar_split_clause,[],[f1496,f1454,f1510])). 3.16/0.82 tff(f1510,plain,( 3.16/0.82 spl4_46 <=> empty = add(sK3,remove(sK3,empty))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_46])])). 3.16/0.82 tff(f1454,plain,( 3.16/0.82 spl4_37 <=> in(sK3,empty)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_37])])). 3.16/0.82 tff(f1496,plain,( 3.16/0.82 empty = add(sK3,remove(sK3,empty)) | ~spl4_37), 3.16/0.82 inference(resolution,[],[f1455,f56])). 3.16/0.82 tff(f56,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (~in(X0,X1) | add(X0,remove(X0,X1)) = X1) )), 3.16/0.82 inference(cnf_transformation,[],[f32])). 3.16/0.82 tff(f32,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1))), 3.16/0.82 inference(ennf_transformation,[],[f23])). 3.16/0.82 tff(f23,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : (in(X0,X1) => add(X0,remove(X0,X1)) = X1)), 3.16/0.82 inference(rectify,[],[f12])). 3.16/0.82 tff(f12,axiom,( 3.16/0.82 ! [X21 : $int,X22 : collection] : (in(X21,X22) => add(X21,remove(X21,X22)) = X22)), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7)). 3.16/0.82 tff(f1455,plain,( 3.16/0.82 in(sK3,empty) | ~spl4_37), 3.16/0.82 inference(avatar_component_clause,[],[f1454])). 3.16/0.82 tff(f1508,plain,( 3.16/0.82 spl4_45 | ~spl4_37), 3.16/0.82 inference(avatar_split_clause,[],[f1504,f1454,f1506])). 3.16/0.82 tff(f1506,plain,( 3.16/0.82 spl4_45 <=> 0 = count(add(sK3,empty))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_45])])). 3.16/0.82 tff(f1504,plain,( 3.16/0.82 0 = count(add(sK3,empty)) | ~spl4_37), 3.16/0.82 inference(forward_demodulation,[],[f1495,f71])). 3.16/0.82 tff(f71,plain,( 3.16/0.82 0 = count(empty)), 3.16/0.82 inference(equality_resolution,[],[f52])). 3.16/0.82 tff(f52,plain,( 3.16/0.82 ( ! [X0:collection] : (0 = count(X0) | empty != X0) )), 3.16/0.82 inference(cnf_transformation,[],[f35])). 3.16/0.82 tff(f35,plain,( 3.16/0.82 ! [X0 : collection] : ((empty = X0 | 0 != count(X0)) & (0 = count(X0) | empty != X0))), 3.16/0.82 inference(nnf_transformation,[],[f21])). 3.16/0.82 tff(f21,plain,( 3.16/0.82 ! [X0 : collection] : (empty = X0 <=> 0 = count(X0))), 3.16/0.82 inference(rectify,[],[f9])). 3.16/0.82 tff(f9,axiom,( 3.16/0.82 ! [X16 : collection] : (empty = X16 <=> 0 = count(X16))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)). 3.16/0.82 tff(f1495,plain,( 3.16/0.82 count(empty) = count(add(sK3,empty)) | ~spl4_37), 3.16/0.82 inference(resolution,[],[f1455,f61])). 3.16/0.82 tff(f61,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (~in(X0,X1) | count(X1) = count(add(X0,X1))) )), 3.16/0.82 inference(cnf_transformation,[],[f38])). 3.16/0.82 tff(f38,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(X1) != count(add(X0,X1))) & (count(X1) = count(add(X0,X1)) | ~in(X0,X1)))), 3.16/0.82 inference(nnf_transformation,[],[f26])). 3.16/0.82 tff(f26,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(X1) = count(add(X0,X1)))), 3.16/0.82 inference(rectify,[],[f6])). 3.16/0.82 tff(f6,axiom,( 3.16/0.82 ! [X11 : $int,X12 : collection] : (in(X11,X12) <=> count(X12) = count(add(X11,X12)))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)). 3.16/0.82 tff(f1503,plain,( 3.16/0.82 spl4_44 | ~spl4_37), 3.16/0.82 inference(avatar_split_clause,[],[f1499,f1454,f1501])). 3.16/0.82 tff(f1501,plain,( 3.16/0.82 spl4_44 <=> -1 = count(remove(sK3,empty))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_44])])). 3.16/0.82 tff(f1499,plain,( 3.16/0.82 -1 = count(remove(sK3,empty)) | ~spl4_37), 3.16/0.82 inference(evaluation,[],[f1498])). 3.16/0.82 tff(f1498,plain,( 3.16/0.82 count(remove(sK3,empty)) = $sum(0,-1) | ~spl4_37), 3.16/0.82 inference(forward_demodulation,[],[f1494,f71])). 3.16/0.82 tff(f1494,plain,( 3.16/0.82 count(remove(sK3,empty)) = $sum(count(empty),-1) | ~spl4_37), 3.16/0.82 inference(resolution,[],[f1455,f74])). 3.16/0.82 tff(f74,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (~in(X0,X1) | count(remove(X0,X1)) = $sum(count(X1),-1)) )), 3.16/0.82 inference(evaluation,[],[f64])). 3.16/0.82 tff(f64,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) )), 3.16/0.82 inference(cnf_transformation,[],[f39])). 3.16/0.82 tff(f39,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : ((count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) & (in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))))), 3.16/0.82 inference(nnf_transformation,[],[f27])). 3.16/0.82 tff(f27,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) <=> in(X0,X1))), 3.16/0.82 inference(rectify,[],[f17])). 3.16/0.82 tff(f17,plain,( 3.16/0.82 ! [X17 : $int,X18 : collection] : (count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) <=> in(X17,X18))), 3.16/0.82 inference(theory_normalization,[],[f10])). 3.16/0.82 tff(f10,axiom,( 3.16/0.82 ! [X17 : $int,X18 : collection] : ($difference(count(X18),1) = count(remove(X17,X18)) <=> in(X17,X18))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 3.16/0.82 tff(f1497,plain,( 3.16/0.82 ~spl4_37), 3.16/0.82 inference(avatar_contradiction_clause,[],[f1491])). 3.16/0.82 tff(f1491,plain,( 3.16/0.82 $false | ~spl4_37), 3.16/0.82 inference(resolution,[],[f1455,f50])). 3.16/0.82 tff(f50,plain,( 3.16/0.82 ( ! [X0:$int] : (~in(X0,empty)) )), 3.16/0.82 inference(cnf_transformation,[],[f19])). 3.16/0.82 tff(f19,plain,( 3.16/0.82 ! [X0 : $int] : ~in(X0,empty)), 3.16/0.82 inference(rectify,[],[f3])). 3.16/0.82 tff(f3,axiom,( 3.16/0.82 ! [X5 : $int] : ~in(X5,empty)), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)). 3.16/0.82 tff(f1490,plain,( 3.16/0.82 spl4_36 | spl4_43 | ~spl4_33 | ~spl4_4 | ~spl4_13), 3.16/0.82 inference(avatar_split_clause,[],[f1481,f140,f89,f1415,f1488,f1451])). 3.16/0.82 tff(f1451,plain,( 3.16/0.82 spl4_36 <=> sK2 = sK3), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_36])])). 3.16/0.82 tff(f1488,plain,( 3.16/0.82 spl4_43 <=> empty = remove(sK2,remove(sK3,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_43])])). 3.16/0.82 tff(f1415,plain,( 3.16/0.82 spl4_33 <=> 0 = $sum(-2,count(sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_33])])). 3.16/0.82 tff(f89,plain,( 3.16/0.82 spl4_4 <=> in(sK2,sK0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])). 3.16/0.82 tff(f140,plain,( 3.16/0.82 spl4_13 <=> $sum(count(sK0),-1) = count(remove(sK3,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_13])])). 3.16/0.82 tff(f1481,plain,( 3.16/0.82 0 != $sum(-2,count(sK0)) | empty = remove(sK2,remove(sK3,sK0)) | sK2 = sK3 | (~spl4_4 | ~spl4_13)), 3.16/0.82 inference(evaluation,[],[f1480])). 3.16/0.82 tff(f1480,plain,( 3.16/0.82 0 != $sum($sum(count(sK0),-1),-1) | empty = remove(sK2,remove(sK3,sK0)) | sK2 = sK3 | (~spl4_4 | ~spl4_13)), 3.16/0.82 inference(superposition,[],[f662,f141])). 3.16/0.82 tff(f141,plain,( 3.16/0.82 $sum(count(sK0),-1) = count(remove(sK3,sK0)) | ~spl4_13), 3.16/0.82 inference(avatar_component_clause,[],[f140])). 3.16/0.82 tff(f662,plain,( 3.16/0.82 ( ! [X2:$int] : (0 != $sum(count(remove(X2,sK0)),-1) | empty = remove(sK2,remove(X2,sK0)) | sK2 = X2) ) | ~spl4_4), 3.16/0.82 inference(superposition,[],[f53,f267])). 3.16/0.82 tff(f267,plain,( 3.16/0.82 ( ! [X5:$int] : ($sum(count(remove(X5,sK0)),-1) = count(remove(sK2,remove(X5,sK0))) | sK2 = X5) ) | ~spl4_4), 3.16/0.82 inference(resolution,[],[f118,f74])). 3.16/0.82 tff(f118,plain,( 3.16/0.82 ( ! [X1:$int] : (in(sK2,remove(X1,sK0)) | sK2 = X1) ) | ~spl4_4), 3.16/0.82 inference(resolution,[],[f90,f65])). 3.16/0.82 tff(f65,plain,( 3.16/0.82 ( ! [X2:$int,X0:$int,X1:collection] : (~in(X0,X1) | X0 = X2 | in(X0,remove(X2,X1))) )), 3.16/0.82 inference(cnf_transformation,[],[f41])). 3.16/0.82 tff(f41,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)))), 3.16/0.82 inference(flattening,[],[f40])). 3.16/0.82 tff(f40,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | (X0 = X2 | ~in(X0,X1))))), 3.16/0.82 inference(nnf_transformation,[],[f28])). 3.16/0.82 tff(f28,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))), 3.16/0.82 inference(rectify,[],[f2])). 3.16/0.82 tff(f2,axiom,( 3.16/0.82 ! [X2 : $int,X3 : collection,X4 : $int] : ((X2 != X4 & in(X2,X3)) <=> in(X2,remove(X4,X3)))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 3.16/0.82 tff(f90,plain,( 3.16/0.82 in(sK2,sK0) | ~spl4_4), 3.16/0.82 inference(avatar_component_clause,[],[f89])). 3.16/0.82 tff(f53,plain,( 3.16/0.82 ( ! [X0:collection] : (0 != count(X0) | empty = X0) )), 3.16/0.82 inference(cnf_transformation,[],[f35])). 3.16/0.82 tff(f1486,plain,( 3.16/0.82 spl4_29 | spl4_42 | ~spl4_33 | ~spl4_4 | ~spl4_7), 3.16/0.82 inference(avatar_split_clause,[],[f1482,f106,f89,f1415,f1484,f628])). 3.16/0.82 tff(f628,plain,( 3.16/0.82 spl4_29 <=> sK1 = sK2), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_29])])). 3.16/0.82 tff(f1484,plain,( 3.16/0.82 spl4_42 <=> empty = remove(sK2,remove(sK1,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_42])])). 3.16/0.82 tff(f106,plain,( 3.16/0.82 spl4_7 <=> count(remove(sK1,sK0)) = $sum(count(sK0),-1)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_7])])). 3.16/0.82 tff(f1482,plain,( 3.16/0.82 0 != $sum(-2,count(sK0)) | empty = remove(sK2,remove(sK1,sK0)) | sK1 = sK2 | (~spl4_4 | ~spl4_7)), 3.16/0.82 inference(evaluation,[],[f1478])). 3.16/0.82 tff(f1478,plain,( 3.16/0.82 0 != $sum($sum(count(sK0),-1),-1) | empty = remove(sK2,remove(sK1,sK0)) | sK1 = sK2 | (~spl4_4 | ~spl4_7)), 3.16/0.82 inference(superposition,[],[f662,f107])). 3.16/0.82 tff(f107,plain,( 3.16/0.82 count(remove(sK1,sK0)) = $sum(count(sK0),-1) | ~spl4_7), 3.16/0.82 inference(avatar_component_clause,[],[f106])). 3.16/0.82 tff(f1475,plain,( 3.16/0.82 spl4_41 | ~spl4_33 | ~spl4_10 | ~spl4_32), 3.16/0.82 inference(avatar_split_clause,[],[f1471,f1412,f123,f1415,f1473])). 3.16/0.82 tff(f1473,plain,( 3.16/0.82 spl4_41 <=> in(sK1,remove(sK2,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_41])])). 3.16/0.82 tff(f123,plain,( 3.16/0.82 spl4_10 <=> $sum(count(sK0),-1) = count(remove(sK2,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_10])])). 3.16/0.82 tff(f1412,plain,( 3.16/0.82 spl4_32 <=> empty = remove(sK1,remove(sK2,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_32])])). 3.16/0.82 tff(f1471,plain,( 3.16/0.82 0 != $sum(-2,count(sK0)) | in(sK1,remove(sK2,sK0)) | (~spl4_10 | ~spl4_32)), 3.16/0.82 inference(forward_demodulation,[],[f1470,f71])). 3.16/0.82 tff(f1470,plain,( 3.16/0.82 count(empty) != $sum(-2,count(sK0)) | in(sK1,remove(sK2,sK0)) | (~spl4_10 | ~spl4_32)), 3.16/0.82 inference(evaluation,[],[f1469])). 3.16/0.82 tff(f1469,plain,( 3.16/0.82 count(empty) != $sum($sum(count(sK0),-1),-1) | in(sK1,remove(sK2,sK0)) | (~spl4_10 | ~spl4_32)), 3.16/0.82 inference(forward_demodulation,[],[f1438,f124])). 3.16/0.82 tff(f124,plain,( 3.16/0.82 $sum(count(sK0),-1) = count(remove(sK2,sK0)) | ~spl4_10), 3.16/0.82 inference(avatar_component_clause,[],[f123])). 3.16/0.82 tff(f1438,plain,( 3.16/0.82 count(empty) != $sum(count(remove(sK2,sK0)),-1) | in(sK1,remove(sK2,sK0)) | ~spl4_32), 3.16/0.82 inference(superposition,[],[f75,f1413])). 3.16/0.82 tff(f1413,plain,( 3.16/0.82 empty = remove(sK1,remove(sK2,sK0)) | ~spl4_32), 3.16/0.82 inference(avatar_component_clause,[],[f1412])). 3.16/0.82 tff(f75,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (count(remove(X0,X1)) != $sum(count(X1),-1) | in(X0,X1)) )), 3.16/0.82 inference(evaluation,[],[f63])). 3.16/0.82 tff(f63,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) )), 3.16/0.82 inference(cnf_transformation,[],[f39])). 3.16/0.82 tff(f1468,plain,( 3.16/0.82 spl4_36 | spl4_31 | spl4_40 | ~spl4_5 | ~spl4_32), 3.16/0.82 inference(avatar_split_clause,[],[f1435,f1412,f93,f1466,f635,f1451])). 3.16/0.82 tff(f635,plain,( 3.16/0.82 spl4_31 <=> sK1 = sK3), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_31])])). 3.16/0.82 tff(f1466,plain,( 3.16/0.82 spl4_40 <=> ! [X11 : $int,X10 : $int] : in(sK3,add(X10,add(X11,empty)))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_40])])). 3.16/0.82 tff(f93,plain,( 3.16/0.82 spl4_5 <=> in(sK3,sK0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])). 3.16/0.82 tff(f1435,plain,( 3.16/0.82 ( ! [X10:$int,X11:$int] : (in(sK3,add(X10,add(X11,empty))) | sK1 = sK3 | sK2 = sK3) ) | (~spl4_5 | ~spl4_32)), 3.16/0.82 inference(superposition,[],[f870,f1413])). 3.16/0.82 tff(f870,plain,( 3.16/0.82 ( ! [X6:$int,X4:$int,X5:$int,X3:$int] : (in(sK3,add(X5,add(X6,remove(X4,remove(X3,sK0))))) | sK3 = X4 | sK3 = X3) ) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f544,f69])). 3.16/0.82 tff(f69,plain,( 3.16/0.82 ( ! [X2:$int,X0:$int,X1:collection] : (~in(X0,X1) | in(X0,add(X2,X1))) )), 3.16/0.82 inference(cnf_transformation,[],[f43])). 3.16/0.82 tff(f43,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2 | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))), 3.16/0.82 inference(flattening,[],[f42])). 3.16/0.82 tff(f42,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) | X0 = X2) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))), 3.16/0.82 inference(nnf_transformation,[],[f29])). 3.16/0.82 tff(f29,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2) <=> in(X0,add(X2,X1)))), 3.16/0.82 inference(rectify,[],[f5])). 3.16/0.82 tff(f5,axiom,( 3.16/0.82 ! [X8 : $int,X9 : collection,X10 : $int] : ((in(X8,X9) | X8 = X10) <=> in(X8,add(X10,X9)))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)). 3.16/0.82 tff(f544,plain,( 3.16/0.82 ( ! [X6:$int,X4:$int,X5:$int] : (in(sK3,add(X6,remove(X4,remove(X5,sK0)))) | sK3 = X5 | sK3 = X4) ) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f274,f69])). 3.16/0.82 tff(f274,plain,( 3.16/0.82 ( ! [X4:$int,X3:$int] : (in(sK3,remove(X4,remove(X3,sK0))) | sK3 = X4 | sK3 = X3) ) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f135,f65])). 3.16/0.82 tff(f135,plain,( 3.16/0.82 ( ! [X1:$int] : (in(sK3,remove(X1,sK0)) | sK3 = X1) ) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f94,f65])). 3.16/0.82 tff(f94,plain,( 3.16/0.82 in(sK3,sK0) | ~spl4_5), 3.16/0.82 inference(avatar_component_clause,[],[f93])). 3.16/0.82 tff(f1464,plain,( 3.16/0.82 spl4_31 | spl4_36 | spl4_39 | ~spl4_5 | ~spl4_32), 3.16/0.82 inference(avatar_split_clause,[],[f1432,f1412,f93,f1462,f1451,f635])). 3.16/0.82 tff(f1462,plain,( 3.16/0.82 spl4_39 <=> ! [X5 : $int] : (in(sK3,remove(X5,empty)) | sK3 = X5)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_39])])). 3.16/0.82 tff(f1432,plain,( 3.16/0.82 ( ! [X5:$int] : (in(sK3,remove(X5,empty)) | sK2 = sK3 | sK3 = X5 | sK1 = sK3) ) | (~spl4_5 | ~spl4_32)), 3.16/0.82 inference(superposition,[],[f545,f1413])). 3.16/0.82 tff(f545,plain,( 3.16/0.82 ( ! [X8:$int,X7:$int,X9:$int] : (in(sK3,remove(X9,remove(X7,remove(X8,sK0)))) | sK3 = X8 | sK3 = X9 | sK3 = X7) ) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f274,f65])). 3.16/0.82 tff(f1460,plain,( 3.16/0.82 spl4_31 | spl4_36 | spl4_38 | ~spl4_5 | ~spl4_32), 3.16/0.82 inference(avatar_split_clause,[],[f1431,f1412,f93,f1458,f1451,f635])). 3.16/0.82 tff(f1458,plain,( 3.16/0.82 spl4_38 <=> ! [X4 : $int] : in(sK3,add(X4,empty))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_38])])). 3.16/0.82 tff(f1431,plain,( 3.16/0.82 ( ! [X4:$int] : (in(sK3,add(X4,empty)) | sK2 = sK3 | sK1 = sK3) ) | (~spl4_5 | ~spl4_32)), 3.16/0.82 inference(superposition,[],[f544,f1413])). 3.16/0.82 tff(f1456,plain,( 3.16/0.82 spl4_36 | spl4_31 | spl4_37 | ~spl4_5 | ~spl4_32), 3.16/0.82 inference(avatar_split_clause,[],[f1426,f1412,f93,f1454,f635,f1451])). 3.16/0.82 tff(f1426,plain,( 3.16/0.82 in(sK3,empty) | sK1 = sK3 | sK2 = sK3 | (~spl4_5 | ~spl4_32)), 3.16/0.82 inference(superposition,[],[f274,f1413])). 3.16/0.82 tff(f1449,plain,( 3.16/0.82 spl4_29 | spl4_35 | ~spl4_3 | ~spl4_32), 3.16/0.82 inference(avatar_split_clause,[],[f1423,f1412,f85,f1447,f628])). 3.16/0.82 tff(f1447,plain,( 3.16/0.82 spl4_35 <=> remove(sK2,sK0) = add(sK1,empty)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_35])])). 3.16/0.82 tff(f85,plain,( 3.16/0.82 spl4_3 <=> in(sK1,sK0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])). 3.16/0.82 tff(f1423,plain,( 3.16/0.82 remove(sK2,sK0) = add(sK1,empty) | sK1 = sK2 | (~spl4_3 | ~spl4_32)), 3.16/0.82 inference(superposition,[],[f261,f1413])). 3.16/0.82 tff(f261,plain,( 3.16/0.82 ( ! [X7:$int] : (remove(X7,sK0) = add(sK1,remove(sK1,remove(X7,sK0))) | sK1 = X7) ) | ~spl4_3), 3.16/0.82 inference(resolution,[],[f101,f56])). 3.16/0.82 tff(f101,plain,( 3.16/0.82 ( ! [X1:$int] : (in(sK1,remove(X1,sK0)) | sK1 = X1) ) | ~spl4_3), 3.16/0.82 inference(resolution,[],[f86,f65])). 3.16/0.82 tff(f86,plain,( 3.16/0.82 in(sK1,sK0) | ~spl4_3), 3.16/0.82 inference(avatar_component_clause,[],[f85])). 3.16/0.82 tff(f1445,plain,( 3.16/0.82 spl4_29 | spl4_33 | ~spl4_3 | ~spl4_10 | ~spl4_32), 3.16/0.82 inference(avatar_split_clause,[],[f1443,f1412,f123,f85,f1415,f628])). 3.16/0.82 tff(f1443,plain,( 3.16/0.82 0 = $sum(-2,count(sK0)) | sK1 = sK2 | (~spl4_3 | ~spl4_10 | ~spl4_32)), 3.16/0.82 inference(forward_demodulation,[],[f1442,f71])). 3.16/0.82 tff(f1442,plain,( 3.16/0.82 count(empty) = $sum(-2,count(sK0)) | sK1 = sK2 | (~spl4_3 | ~spl4_10 | ~spl4_32)), 3.16/0.82 inference(evaluation,[],[f1441])). 3.16/0.82 tff(f1441,plain,( 3.16/0.82 count(empty) = $sum($sum(count(sK0),-1),-1) | sK1 = sK2 | (~spl4_3 | ~spl4_10 | ~spl4_32)), 3.16/0.82 inference(forward_demodulation,[],[f1422,f124])). 3.16/0.82 tff(f1422,plain,( 3.16/0.82 count(empty) = $sum(count(remove(sK2,sK0)),-1) | sK1 = sK2 | (~spl4_3 | ~spl4_32)), 3.16/0.82 inference(superposition,[],[f259,f1413])). 3.16/0.82 tff(f259,plain,( 3.16/0.82 ( ! [X5:$int] : (count(remove(sK1,remove(X5,sK0))) = $sum(count(remove(X5,sK0)),-1) | sK1 = X5) ) | ~spl4_3), 3.16/0.82 inference(resolution,[],[f101,f74])). 3.16/0.82 tff(f1421,plain,( 3.16/0.82 spl4_31 | spl4_34 | ~spl4_33 | ~spl4_3 | ~spl4_13), 3.16/0.82 inference(avatar_split_clause,[],[f1409,f140,f85,f1415,f1419,f635])). 3.16/0.82 tff(f1419,plain,( 3.16/0.82 spl4_34 <=> empty = remove(sK1,remove(sK3,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_34])])). 3.16/0.82 tff(f1409,plain,( 3.16/0.82 0 != $sum(-2,count(sK0)) | empty = remove(sK1,remove(sK3,sK0)) | sK1 = sK3 | (~spl4_3 | ~spl4_13)), 3.16/0.82 inference(evaluation,[],[f1408])). 3.16/0.82 tff(f1408,plain,( 3.16/0.82 0 != $sum($sum(count(sK0),-1),-1) | empty = remove(sK1,remove(sK3,sK0)) | sK1 = sK3 | (~spl4_3 | ~spl4_13)), 3.16/0.82 inference(superposition,[],[f619,f141])). 3.16/0.82 tff(f619,plain,( 3.16/0.82 ( ! [X2:$int] : (0 != $sum(count(remove(X2,sK0)),-1) | empty = remove(sK1,remove(X2,sK0)) | sK1 = X2) ) | ~spl4_3), 3.16/0.82 inference(superposition,[],[f53,f259])). 3.16/0.82 tff(f1417,plain,( 3.16/0.82 spl4_29 | spl4_32 | ~spl4_33 | ~spl4_3 | ~spl4_10), 3.16/0.82 inference(avatar_split_clause,[],[f1410,f123,f85,f1415,f1412,f628])). 3.16/0.82 tff(f1410,plain,( 3.16/0.82 0 != $sum(-2,count(sK0)) | empty = remove(sK1,remove(sK2,sK0)) | sK1 = sK2 | (~spl4_3 | ~spl4_10)), 3.16/0.82 inference(evaluation,[],[f1407])). 3.16/0.82 tff(f1407,plain,( 3.16/0.82 0 != $sum($sum(count(sK0),-1),-1) | empty = remove(sK1,remove(sK2,sK0)) | sK1 = sK2 | (~spl4_3 | ~spl4_10)), 3.16/0.82 inference(superposition,[],[f619,f124])). 3.16/0.82 tff(f637,plain,( 3.16/0.82 spl4_31 | ~spl4_30 | ~spl4_3 | ~spl4_13), 3.16/0.82 inference(avatar_split_clause,[],[f625,f140,f85,f631,f635])). 3.16/0.82 tff(f631,plain,( 3.16/0.82 spl4_30 <=> $less($sum(-2,count(sK0)),0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_30])])). 3.16/0.82 tff(f625,plain,( 3.16/0.82 ~$less($sum(-2,count(sK0)),0) | sK1 = sK3 | (~spl4_3 | ~spl4_13)), 3.16/0.82 inference(evaluation,[],[f624])). 3.16/0.82 tff(f624,plain,( 3.16/0.82 ~$less($sum($sum(count(sK0),-1),-1),0) | sK1 = sK3 | (~spl4_3 | ~spl4_13)), 3.16/0.82 inference(superposition,[],[f620,f141])). 3.16/0.82 tff(f620,plain,( 3.16/0.82 ( ! [X3:$int] : (~$less($sum(count(remove(X3,sK0)),-1),0) | sK1 = X3) ) | ~spl4_3), 3.16/0.82 inference(superposition,[],[f51,f259])). 3.16/0.82 tff(f51,plain,( 3.16/0.82 ( ! [X0:collection] : (~$less(count(X0),0)) )), 3.16/0.82 inference(cnf_transformation,[],[f20])). 3.16/0.82 tff(f20,plain,( 3.16/0.82 ! [X0 : collection] : ~$less(count(X0),0)), 3.16/0.82 inference(rectify,[],[f16])). 3.16/0.82 tff(f16,plain,( 3.16/0.82 ! [X15 : collection] : ~$less(count(X15),0)), 3.16/0.82 inference(theory_normalization,[],[f8])). 3.16/0.82 tff(f8,axiom,( 3.16/0.82 ! [X15 : collection] : $greatereq(count(X15),0)), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)). 3.16/0.82 tff(f633,plain,( 3.16/0.82 spl4_29 | ~spl4_30 | ~spl4_3 | ~spl4_10), 3.16/0.82 inference(avatar_split_clause,[],[f626,f123,f85,f631,f628])). 3.16/0.82 tff(f626,plain,( 3.16/0.82 ~$less($sum(-2,count(sK0)),0) | sK1 = sK2 | (~spl4_3 | ~spl4_10)), 3.16/0.82 inference(evaluation,[],[f623])). 3.16/0.82 tff(f623,plain,( 3.16/0.82 ~$less($sum($sum(count(sK0),-1),-1),0) | sK1 = sK2 | (~spl4_3 | ~spl4_10)), 3.16/0.82 inference(superposition,[],[f620,f124])). 3.16/0.82 tff(f299,plain,( 3.16/0.82 ~spl4_28 | ~spl4_7), 3.16/0.82 inference(avatar_split_clause,[],[f282,f106,f297])). 3.16/0.82 tff(f297,plain,( 3.16/0.82 spl4_28 <=> $less($sum(count(sK0),-1),0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_28])])). 3.16/0.82 tff(f282,plain,( 3.16/0.82 ~$less($sum(count(sK0),-1),0) | ~spl4_7), 3.16/0.82 inference(superposition,[],[f51,f107])). 3.16/0.82 tff(f295,plain,( 3.16/0.82 spl4_26 | ~spl4_27 | ~spl4_7), 3.16/0.82 inference(avatar_split_clause,[],[f281,f106,f293,f290])). 3.16/0.82 tff(f290,plain,( 3.16/0.82 spl4_26 <=> empty = remove(sK1,sK0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_26])])). 3.16/0.82 tff(f293,plain,( 3.16/0.82 spl4_27 <=> 0 = $sum(count(sK0),-1)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_27])])). 3.16/0.82 tff(f281,plain,( 3.16/0.82 0 != $sum(count(sK0),-1) | empty = remove(sK1,sK0) | ~spl4_7), 3.16/0.82 inference(superposition,[],[f53,f107])). 3.16/0.82 tff(f288,plain,( 3.16/0.82 ~spl4_3 | ~spl4_25 | ~spl4_7), 3.16/0.82 inference(avatar_split_clause,[],[f280,f106,f285,f85])). 3.16/0.82 tff(f285,plain,( 3.16/0.82 spl4_25 <=> count(sK0) = $sum(count(sK0),-1)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_25])])). 3.16/0.82 tff(f280,plain,( 3.16/0.82 count(sK0) != $sum(count(sK0),-1) | ~in(sK1,sK0) | ~spl4_7), 3.16/0.82 inference(superposition,[],[f58,f107])). 3.16/0.82 tff(f58,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (count(X1) != count(remove(X0,X1)) | ~in(X0,X1)) )), 3.16/0.82 inference(cnf_transformation,[],[f36])). 3.16/0.82 tff(f36,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(X1) != count(remove(X0,X1))) & (count(X1) = count(remove(X0,X1)) | in(X0,X1)))), 3.16/0.82 inference(nnf_transformation,[],[f24])). 3.16/0.82 tff(f24,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(X1) = count(remove(X0,X1)))), 3.16/0.82 inference(rectify,[],[f7])). 3.16/0.82 tff(f7,axiom,( 3.16/0.82 ! [X13 : $int,X14 : collection] : (~in(X13,X14) <=> count(X14) = count(remove(X13,X14)))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)). 3.16/0.82 tff(f287,plain,( 3.16/0.82 ~spl4_25 | ~spl4_7 | spl4_20), 3.16/0.82 inference(avatar_split_clause,[],[f278,f195,f106,f285])). 3.16/0.82 tff(f195,plain,( 3.16/0.82 spl4_20 <=> count(sK0) = count(remove(sK1,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_20])])). 3.16/0.82 tff(f278,plain,( 3.16/0.82 count(sK0) != $sum(count(sK0),-1) | (~spl4_7 | spl4_20)), 3.16/0.82 inference(superposition,[],[f196,f107])). 3.16/0.82 tff(f196,plain,( 3.16/0.82 count(sK0) != count(remove(sK1,sK0)) | spl4_20), 3.16/0.82 inference(avatar_component_clause,[],[f195])). 3.16/0.82 tff(f235,plain,( 3.16/0.82 spl4_23 | ~spl4_24 | ~spl4_15), 3.16/0.82 inference(avatar_split_clause,[],[f226,f148,f233,f230])). 3.16/0.82 tff(f230,plain,( 3.16/0.82 spl4_23 <=> in(sK3,remove(sK3,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_23])])). 3.16/0.82 tff(f233,plain,( 3.16/0.82 spl4_24 <=> count(sK0) = count(remove(sK3,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_24])])). 3.16/0.82 tff(f148,plain,( 3.16/0.82 spl4_15 <=> sK0 = add(sK3,remove(sK3,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_15])])). 3.16/0.82 tff(f226,plain,( 3.16/0.82 count(sK0) != count(remove(sK3,sK0)) | in(sK3,remove(sK3,sK0)) | ~spl4_15), 3.16/0.82 inference(superposition,[],[f62,f149])). 3.16/0.82 tff(f149,plain,( 3.16/0.82 sK0 = add(sK3,remove(sK3,sK0)) | ~spl4_15), 3.16/0.82 inference(avatar_component_clause,[],[f148])). 3.16/0.82 tff(f62,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (count(X1) != count(add(X0,X1)) | in(X0,X1)) )), 3.16/0.82 inference(cnf_transformation,[],[f38])). 3.16/0.82 tff(f223,plain,( 3.16/0.82 ~spl4_5 | ~spl4_16 | ~spl4_14), 3.16/0.82 inference(avatar_split_clause,[],[f218,f144,f176,f93])). 3.16/0.82 tff(f176,plain,( 3.16/0.82 spl4_16 <=> count(sK0) = $sum(count(sK0),1)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_16])])). 3.16/0.82 tff(f144,plain,( 3.16/0.82 spl4_14 <=> count(sK0) = count(add(sK3,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_14])])). 3.16/0.82 tff(f218,plain,( 3.16/0.82 count(sK0) != $sum(count(sK0),1) | ~in(sK3,sK0) | ~spl4_14), 3.16/0.82 inference(superposition,[],[f60,f145])). 3.16/0.82 tff(f145,plain,( 3.16/0.82 count(sK0) = count(add(sK3,sK0)) | ~spl4_14), 3.16/0.82 inference(avatar_component_clause,[],[f144])). 3.16/0.82 tff(f60,plain,( 3.16/0.82 ( ! [X0:$int,X1:collection] : (count(add(X0,X1)) != $sum(count(X1),1) | ~in(X0,X1)) )), 3.16/0.82 inference(cnf_transformation,[],[f37])). 3.16/0.82 tff(f37,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(add(X0,X1)) != $sum(count(X1),1)) & (count(add(X0,X1)) = $sum(count(X1),1) | in(X0,X1)))), 3.16/0.82 inference(nnf_transformation,[],[f25])). 3.16/0.82 tff(f25,plain,( 3.16/0.82 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(add(X0,X1)) = $sum(count(X1),1))), 3.16/0.82 inference(rectify,[],[f11])). 3.16/0.82 tff(f11,axiom,( 3.16/0.82 ! [X19 : $int,X20 : collection] : (~in(X19,X20) <=> count(add(X19,X20)) = $sum(count(X20),1))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)). 3.16/0.82 tff(f216,plain,( 3.16/0.82 spl4_21 | ~spl4_22 | ~spl4_12), 3.16/0.82 inference(avatar_split_clause,[],[f207,f131,f214,f211])). 3.16/0.82 tff(f211,plain,( 3.16/0.82 spl4_21 <=> in(sK2,remove(sK2,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_21])])). 3.16/0.82 tff(f214,plain,( 3.16/0.82 spl4_22 <=> count(sK0) = count(remove(sK2,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_22])])). 3.16/0.82 tff(f131,plain,( 3.16/0.82 spl4_12 <=> sK0 = add(sK2,remove(sK2,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_12])])). 3.16/0.82 tff(f207,plain,( 3.16/0.82 count(sK0) != count(remove(sK2,sK0)) | in(sK2,remove(sK2,sK0)) | ~spl4_12), 3.16/0.82 inference(superposition,[],[f62,f132])). 3.16/0.82 tff(f132,plain,( 3.16/0.82 sK0 = add(sK2,remove(sK2,sK0)) | ~spl4_12), 3.16/0.82 inference(avatar_component_clause,[],[f131])). 3.16/0.82 tff(f204,plain,( 3.16/0.82 ~spl4_4 | ~spl4_16 | ~spl4_11), 3.16/0.82 inference(avatar_split_clause,[],[f199,f127,f176,f89])). 3.16/0.82 tff(f127,plain,( 3.16/0.82 spl4_11 <=> count(sK0) = count(add(sK2,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_11])])). 3.16/0.82 tff(f199,plain,( 3.16/0.82 count(sK0) != $sum(count(sK0),1) | ~in(sK2,sK0) | ~spl4_11), 3.16/0.82 inference(superposition,[],[f60,f128])). 3.16/0.82 tff(f128,plain,( 3.16/0.82 count(sK0) = count(add(sK2,sK0)) | ~spl4_11), 3.16/0.82 inference(avatar_component_clause,[],[f127])). 3.16/0.82 tff(f197,plain,( 3.16/0.82 spl4_19 | ~spl4_20 | ~spl4_9), 3.16/0.82 inference(avatar_split_clause,[],[f188,f114,f195,f192])). 3.16/0.82 tff(f192,plain,( 3.16/0.82 spl4_19 <=> in(sK1,remove(sK1,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_19])])). 3.16/0.82 tff(f114,plain,( 3.16/0.82 spl4_9 <=> sK0 = add(sK1,remove(sK1,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_9])])). 3.16/0.82 tff(f188,plain,( 3.16/0.82 count(sK0) != count(remove(sK1,sK0)) | in(sK1,remove(sK1,sK0)) | ~spl4_9), 3.16/0.82 inference(superposition,[],[f62,f115])). 3.16/0.82 tff(f115,plain,( 3.16/0.82 sK0 = add(sK1,remove(sK1,sK0)) | ~spl4_9), 3.16/0.82 inference(avatar_component_clause,[],[f114])). 3.16/0.82 tff(f185,plain,( 3.16/0.82 spl4_17 | ~spl4_18 | ~spl4_8), 3.16/0.82 inference(avatar_split_clause,[],[f171,f110,f183,f180])). 3.16/0.82 tff(f180,plain,( 3.16/0.82 spl4_17 <=> empty = add(sK1,sK0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_17])])). 3.16/0.82 tff(f183,plain,( 3.16/0.82 spl4_18 <=> 0 = count(sK0)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_18])])). 3.16/0.82 tff(f110,plain,( 3.16/0.82 spl4_8 <=> count(sK0) = count(add(sK1,sK0))), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_8])])). 3.16/0.82 tff(f171,plain,( 3.16/0.82 0 != count(sK0) | empty = add(sK1,sK0) | ~spl4_8), 3.16/0.82 inference(superposition,[],[f53,f111])). 3.16/0.82 tff(f111,plain,( 3.16/0.82 count(sK0) = count(add(sK1,sK0)) | ~spl4_8), 3.16/0.82 inference(avatar_component_clause,[],[f110])). 3.16/0.82 tff(f178,plain,( 3.16/0.82 ~spl4_3 | ~spl4_16 | ~spl4_8), 3.16/0.82 inference(avatar_split_clause,[],[f170,f110,f176,f85])). 3.16/0.82 tff(f170,plain,( 3.16/0.82 count(sK0) != $sum(count(sK0),1) | ~in(sK1,sK0) | ~spl4_8), 3.16/0.82 inference(superposition,[],[f60,f111])). 3.16/0.82 tff(f150,plain,( 3.16/0.82 spl4_15 | ~spl4_5), 3.16/0.82 inference(avatar_split_clause,[],[f138,f93,f148])). 3.16/0.82 tff(f138,plain,( 3.16/0.82 sK0 = add(sK3,remove(sK3,sK0)) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f94,f56])). 3.16/0.82 tff(f146,plain,( 3.16/0.82 spl4_14 | ~spl4_5), 3.16/0.82 inference(avatar_split_clause,[],[f137,f93,f144])). 3.16/0.82 tff(f137,plain,( 3.16/0.82 count(sK0) = count(add(sK3,sK0)) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f94,f61])). 3.16/0.82 tff(f142,plain,( 3.16/0.82 spl4_13 | ~spl4_5), 3.16/0.82 inference(avatar_split_clause,[],[f136,f93,f140])). 3.16/0.82 tff(f136,plain,( 3.16/0.82 $sum(count(sK0),-1) = count(remove(sK3,sK0)) | ~spl4_5), 3.16/0.82 inference(resolution,[],[f94,f74])). 3.16/0.82 tff(f133,plain,( 3.16/0.82 spl4_12 | ~spl4_4), 3.16/0.82 inference(avatar_split_clause,[],[f121,f89,f131])). 3.16/0.82 tff(f121,plain,( 3.16/0.82 sK0 = add(sK2,remove(sK2,sK0)) | ~spl4_4), 3.16/0.82 inference(resolution,[],[f90,f56])). 3.16/0.82 tff(f129,plain,( 3.16/0.82 spl4_11 | ~spl4_4), 3.16/0.82 inference(avatar_split_clause,[],[f120,f89,f127])). 3.16/0.82 tff(f120,plain,( 3.16/0.82 count(sK0) = count(add(sK2,sK0)) | ~spl4_4), 3.16/0.82 inference(resolution,[],[f90,f61])). 3.16/0.82 tff(f125,plain,( 3.16/0.82 spl4_10 | ~spl4_4), 3.16/0.82 inference(avatar_split_clause,[],[f119,f89,f123])). 3.16/0.82 tff(f119,plain,( 3.16/0.82 $sum(count(sK0),-1) = count(remove(sK2,sK0)) | ~spl4_4), 3.16/0.82 inference(resolution,[],[f90,f74])). 3.16/0.82 tff(f116,plain,( 3.16/0.82 spl4_9 | ~spl4_3), 3.16/0.82 inference(avatar_split_clause,[],[f104,f85,f114])). 3.16/0.82 tff(f104,plain,( 3.16/0.82 sK0 = add(sK1,remove(sK1,sK0)) | ~spl4_3), 3.16/0.82 inference(resolution,[],[f86,f56])). 3.16/0.82 tff(f112,plain,( 3.16/0.82 spl4_8 | ~spl4_3), 3.16/0.82 inference(avatar_split_clause,[],[f103,f85,f110])). 3.16/0.82 tff(f103,plain,( 3.16/0.82 count(sK0) = count(add(sK1,sK0)) | ~spl4_3), 3.16/0.82 inference(resolution,[],[f86,f61])). 3.16/0.82 tff(f108,plain,( 3.16/0.82 spl4_7 | ~spl4_3), 3.16/0.82 inference(avatar_split_clause,[],[f102,f85,f106])). 3.16/0.82 tff(f102,plain,( 3.16/0.82 count(remove(sK1,sK0)) = $sum(count(sK0),-1) | ~spl4_3), 3.16/0.82 inference(resolution,[],[f86,f74])). 3.16/0.82 tff(f99,plain,( 3.16/0.82 spl4_6), 3.16/0.82 inference(avatar_split_clause,[],[f44,f97])). 3.16/0.82 tff(f97,plain,( 3.16/0.82 spl4_6 <=> $less(sK2,sK1)), 3.16/0.82 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])). 3.16/0.82 tff(f44,plain,( 3.16/0.82 $less(sK2,sK1)), 3.16/0.82 inference(cnf_transformation,[],[f34])). 3.16/0.82 tff(f34,plain,( 3.16/0.82 ~$less(2,count(sK0)) & $less(sK3,sK2) & in(sK1,sK0) & in(sK2,sK0) & in(sK3,sK0) & $less(sK2,sK1)), 3.16/0.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f31,f33])). 3.16/0.82 tff(f33,plain,( 3.16/0.82 ? [X0 : collection,X1 : $int,X2 : $int,X3 : $int] : (~$less(2,count(X0)) & $less(X3,X2) & in(X1,X0) & in(X2,X0) & in(X3,X0) & $less(X2,X1)) => (~$less(2,count(sK0)) & $less(sK3,sK2) & in(sK1,sK0) & in(sK2,sK0) & in(sK3,sK0) & $less(sK2,sK1))), 3.16/0.82 introduced(choice_axiom,[])). 3.16/0.82 tff(f31,plain,( 3.16/0.82 ? [X0 : collection,X1 : $int,X2 : $int,X3 : $int] : (~$less(2,count(X0)) & $less(X3,X2) & in(X1,X0) & in(X2,X0) & in(X3,X0) & $less(X2,X1))), 3.16/0.82 inference(flattening,[],[f30])). 3.16/0.82 tff(f30,plain,( 3.16/0.82 ? [X0 : collection,X1 : $int,X2 : $int,X3 : $int] : (~$less(2,count(X0)) & ($less(X3,X2) & in(X1,X0) & in(X2,X0) & in(X3,X0) & $less(X2,X1)))), 3.16/0.82 inference(ennf_transformation,[],[f18])). 3.16/0.82 tff(f18,plain,( 3.16/0.82 ~! [X0 : collection,X1 : $int,X2 : $int,X3 : $int] : (($less(X3,X2) & in(X1,X0) & in(X2,X0) & in(X3,X0) & $less(X2,X1)) => $less(2,count(X0)))), 3.16/0.82 inference(rectify,[],[f15])). 3.16/0.82 tff(f15,plain,( 3.16/0.82 ~! [X5 : collection,X0 : $int,X1 : $int,X6 : $int] : (($less(X6,X1) & in(X0,X5) & in(X1,X5) & in(X6,X5) & $less(X1,X0)) => $less(2,count(X5)))), 3.16/0.82 inference(theory_normalization,[],[f14])). 3.16/0.82 tff(f14,negated_conjecture,( 3.16/0.82 ~! [X5 : collection,X0 : $int,X1 : $int,X6 : $int] : (($greater(X1,X6) & in(X0,X5) & in(X1,X5) & in(X6,X5) & $greater(X0,X1)) => $greater(count(X5),2))), 3.16/0.82 inference(negated_conjecture,[],[f13])). 3.16/0.82 tff(f13,conjecture,( 3.16/0.82 ! [X5 : collection,X0 : $int,X1 : $int,X6 : $int] : (($greater(X1,X6) & in(X0,X5) & in(X1,X5) & in(X6,X5) & $greater(X0,X1)) => $greater(count(X5),2))), 3.16/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)). 3.16/0.82 tff(f95,plain,( 3.16/0.82 spl4_5), 3.16/0.82 inference(avatar_split_clause,[],[f45,f93])). 3.16/0.82 tff(f45,plain,( 3.16/0.82 in(sK3,sK0)), 3.16/0.82 inference(cnf_transformation,[],[f34])). 3.16/0.82 tff(f91,plain,( 3.16/0.82 spl4_4), 3.16/0.82 inference(avatar_split_clause,[],[f46,f89])). 3.16/0.82 tff(f46,plain,( 3.16/0.82 in(sK2,sK0)), 3.16/0.82 inference(cnf_transformation,[],[f34])). 3.16/0.83 tff(f87,plain,( 3.16/0.83 spl4_3), 3.16/0.83 inference(avatar_split_clause,[],[f47,f85])). 3.16/0.83 tff(f47,plain,( 3.16/0.83 in(sK1,sK0)), 3.16/0.83 inference(cnf_transformation,[],[f34])). 3.16/0.83 tff(f83,plain,( 3.16/0.83 spl4_2), 3.16/0.83 inference(avatar_split_clause,[],[f48,f81])). 3.16/0.83 tff(f81,plain,( 3.16/0.83 spl4_2 <=> $less(sK3,sK2)), 3.16/0.83 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])). 3.16/0.83 tff(f48,plain,( 3.16/0.83 $less(sK3,sK2)), 3.16/0.83 inference(cnf_transformation,[],[f34])). 3.16/0.83 tff(f79,plain,( 3.16/0.83 ~spl4_1), 3.16/0.83 inference(avatar_split_clause,[],[f49,f77])). 3.16/0.83 tff(f77,plain,( 3.16/0.83 spl4_1 <=> $less(2,count(sK0))), 3.16/0.83 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])). 3.16/0.83 tff(f49,plain,( 3.16/0.83 ~$less(2,count(sK0))), 3.16/0.83 inference(cnf_transformation,[],[f34])). 3.16/0.83 % SZS output end Proof for theBenchmark 3.16/0.83 % (30475)------------------------------ 3.16/0.83 % (30475)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.16/0.83 % (30475)Termination reason: Refutation 3.16/0.83 3.16/0.83 % (30475)Memory used [KB]: 2430 3.16/0.83 % (30475)Time elapsed: 0.418 s 3.16/0.83 % (30475)------------------------------ 3.16/0.83 % (30475)------------------------------ 3.16/0.83 % (30472)Success in time 0.476 s 3.16/0.84 EOF