0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.14/0.34 % Computer : n014.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Thu Jul 2 06:55:11 EDT 2020 0.14/0.34 % CPUTime : 0.21/0.52 % (6620)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 0.21/0.52 % (6625)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 0.21/0.52 % (6639)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 0.21/0.52 % (6617)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 0.21/0.52 % (6627)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 0.21/0.52 % (6635)WARNING: option uwaf not known. 0.21/0.52 % (6635)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 1.27/0.53 % (6633)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 1.27/0.53 % (6621)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 1.27/0.53 % (6619)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 1.27/0.53 % (6631)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 1.27/0.53 % (6622)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 1.27/0.53 % (6641)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 1.27/0.54 % (6644)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 1.27/0.54 % (6618)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 1.27/0.54 % (6623)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 1.27/0.54 % (6642)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 1.27/0.54 % (6628)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 1.27/0.54 % (6645)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 1.27/0.54 % (6628)Refutation not found, incomplete strategy% (6628)------------------------------ 1.27/0.54 % (6628)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.27/0.54 % (6628)Termination reason: Refutation not found, incomplete strategy 1.27/0.54 1.27/0.54 % (6628)Memory used [KB]: 6012 1.27/0.54 % (6628)Time elapsed: 0.140 s 1.27/0.54 % (6628)------------------------------ 1.27/0.54 % (6628)------------------------------ 1.27/0.54 % (6636)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 1.27/0.54 % (6632)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 1.27/0.55 % (6643)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 1.27/0.55 % (6636)Refutation not found, incomplete strategy% (6636)------------------------------ 1.27/0.55 % (6636)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.27/0.55 % (6636)Termination reason: Refutation not found, incomplete strategy 1.27/0.55 1.27/0.55 % (6636)Memory used [KB]: 6012 1.27/0.55 % (6636)Time elapsed: 0.150 s 1.27/0.55 % (6636)------------------------------ 1.27/0.55 % (6636)------------------------------ 1.27/0.55 % (6637)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 1.43/0.55 % (6640)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 1.43/0.55 % (6626)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 1.43/0.55 % (6634)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 1.43/0.56 % (6629)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 1.43/0.56 % (6624)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 1.43/0.56 % (6646)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 1.43/0.57 % (6638)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 1.43/0.57 % (6630)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 1.43/0.62 % (6646)Refutation found. Thanks to Tanya! 1.43/0.62 % SZS status Theorem for theBenchmark 1.43/0.62 % SZS output start Proof for theBenchmark 1.43/0.62 tff(type_def_5, type, collection: $tType). 1.43/0.62 tff(func_def_0, type, empty: collection). 1.43/0.62 tff(func_def_1, type, add: ($int * collection) > collection). 1.43/0.62 tff(func_def_2, type, remove: ($int * collection) > collection). 1.43/0.62 tff(func_def_3, type, count: collection > $int). 1.43/0.62 tff(func_def_9, type, sK0: collection). 1.43/0.62 tff(func_def_10, type, sK1: $int). 1.43/0.62 tff(pred_def_1, type, in: ($int * collection) > $o). 1.43/0.62 tff(f516,plain,( 1.43/0.62 $false), 1.43/0.62 inference(avatar_sat_refutation,[],[f68,f78,f90,f95,f102,f110,f145,f158,f163,f168,f178,f185,f198,f217,f223,f305,f310,f327,f490,f499,f515])). 1.43/0.63 tff(f515,plain,( 1.43/0.63 ~spl2_3 | ~spl2_9), 1.43/0.63 inference(avatar_contradiction_clause,[],[f511])). 1.43/0.63 tff(f511,plain,( 1.43/0.63 $false | (~spl2_3 | ~spl2_9)), 1.43/0.63 inference(resolution,[],[f318,f54])). 1.43/0.63 tff(f54,plain,( 1.43/0.63 ( ! [X2:$int,X1:collection] : (~in(X2,remove(X2,X1))) )), 1.43/0.63 inference(equality_resolution,[],[f49])). 1.43/0.63 tff(f49,plain,( 1.43/0.63 ( ! [X2:$int,X0:$int,X1:collection] : (~in(X0,remove(X2,X1)) | X0 != X2) )), 1.43/0.63 inference(cnf_transformation,[],[f27])). 1.43/0.63 tff(f27,plain,( 1.43/0.63 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))), 1.43/0.63 inference(rectify,[],[f2])). 1.43/0.63 tff(f2,axiom,( 1.43/0.63 ! [X2 : $int,X3 : collection,X4 : $int] : ((X2 != X4 & in(X2,X3)) <=> in(X2,remove(X4,X3)))), 1.43/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 1.43/0.63 tff(f318,plain,( 1.43/0.63 in(0,remove(0,sK0)) | (~spl2_3 | ~spl2_9)), 1.43/0.63 inference(backward_demodulation,[],[f115,f73])). 1.43/0.63 tff(f73,plain,( 1.43/0.63 0 = sK1 | ~spl2_3), 1.43/0.63 inference(avatar_component_clause,[],[f71])). 1.43/0.63 tff(f71,plain,( 1.43/0.63 spl2_3 <=> 0 = sK1), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])). 1.43/0.63 tff(f115,plain,( 1.43/0.63 in(0,remove(sK1,sK0)) | ~spl2_9), 1.43/0.63 inference(avatar_component_clause,[],[f114])). 1.43/0.63 tff(f114,plain,( 1.43/0.63 spl2_9 <=> in(0,remove(sK1,sK0))), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_9])])). 1.43/0.63 tff(f499,plain,( 1.43/0.63 ~spl2_11 | spl2_24), 1.43/0.63 inference(avatar_contradiction_clause,[],[f498])). 1.43/0.63 tff(f498,plain,( 1.43/0.63 $false | (~spl2_11 | spl2_24)), 1.43/0.63 inference(resolution,[],[f493,f127])). 1.43/0.63 tff(f127,plain,( 1.43/0.63 in(sK1,sK0) | ~spl2_11), 1.43/0.63 inference(avatar_component_clause,[],[f126])). 1.43/0.63 tff(f126,plain,( 1.43/0.63 spl2_11 <=> in(sK1,sK0)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_11])])). 1.43/0.63 tff(f493,plain,( 1.43/0.63 ~in(sK1,sK0) | spl2_24), 1.43/0.63 inference(trivial_inequality_removal,[],[f491])). 1.43/0.63 tff(f491,plain,( 1.43/0.63 $sum(count(sK0),-1) != $sum(count(sK0),-1) | ~in(sK1,sK0) | spl2_24), 1.43/0.63 inference(superposition,[],[f489,f57])). 1.43/0.63 tff(f57,plain,( 1.43/0.63 ( ! [X0:$int,X1:collection] : (count(remove(X0,X1)) = $sum(count(X1),-1) | ~in(X0,X1)) )), 1.43/0.63 inference(evaluation,[],[f45])). 1.43/0.63 tff(f45,plain,( 1.43/0.63 ( ! [X0:$int,X1:collection] : (~in(X0,X1) | count(remove(X0,X1)) = $sum(count(X1),$uminus(1))) )), 1.43/0.63 inference(cnf_transformation,[],[f26])). 1.43/0.63 tff(f26,plain,( 1.43/0.63 ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) <=> in(X0,X1))), 1.43/0.63 inference(rectify,[],[f16])). 1.43/0.63 tff(f16,plain,( 1.43/0.63 ! [X17 : $int,X18 : collection] : (count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) <=> in(X17,X18))), 1.43/0.63 inference(theory_normalization,[],[f10])). 1.43/0.63 tff(f10,axiom,( 1.43/0.63 ! [X17 : $int,X18 : collection] : ($difference(count(X18),1) = count(remove(X17,X18)) <=> in(X17,X18))), 1.43/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 1.43/0.63 tff(f489,plain,( 1.43/0.63 count(remove(sK1,sK0)) != $sum(count(sK0),-1) | spl2_24), 1.43/0.63 inference(avatar_component_clause,[],[f487])). 1.43/0.63 tff(f487,plain,( 1.43/0.63 spl2_24 <=> count(remove(sK1,sK0)) = $sum(count(sK0),-1)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_24])])). 1.43/0.63 tff(f490,plain,( 1.43/0.63 ~spl2_9 | ~spl2_24 | spl2_6 | ~spl2_17), 1.43/0.63 inference(avatar_split_clause,[],[f447,f165,f87,f487,f114])). 1.43/0.63 tff(f87,plain,( 1.43/0.63 spl2_6 <=> count(add(0,remove(sK1,sK0))) = $sum(count(add(sK1,sK0)),-1)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 1.43/0.63 tff(f165,plain,( 1.43/0.63 spl2_17 <=> count(add(sK1,sK0)) = count(sK0)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_17])])). 1.43/0.63 tff(f447,plain,( 1.43/0.63 count(remove(sK1,sK0)) != $sum(count(sK0),-1) | ~in(0,remove(sK1,sK0)) | (spl2_6 | ~spl2_17)), 1.43/0.63 inference(superposition,[],[f422,f44])). 1.43/0.63 tff(f44,plain,( 1.43/0.63 ( ! [X0:$int,X1:collection] : (count(X1) = count(add(X0,X1)) | ~in(X0,X1)) )), 1.43/0.63 inference(cnf_transformation,[],[f25])). 1.43/0.63 tff(f25,plain,( 1.43/0.63 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(X1) = count(add(X0,X1)))), 1.43/0.63 inference(rectify,[],[f6])). 1.43/0.63 tff(f6,axiom,( 1.43/0.63 ! [X11 : $int,X12 : collection] : (in(X11,X12) <=> count(X12) = count(add(X11,X12)))), 1.43/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)). 1.43/0.63 tff(f422,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != $sum(count(sK0),-1) | (spl2_6 | ~spl2_17)), 1.43/0.63 inference(forward_demodulation,[],[f89,f166])). 1.43/0.63 tff(f166,plain,( 1.43/0.63 count(add(sK1,sK0)) = count(sK0) | ~spl2_17), 1.43/0.63 inference(avatar_component_clause,[],[f165])). 1.43/0.63 tff(f89,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != $sum(count(add(sK1,sK0)),-1) | spl2_6), 1.43/0.63 inference(avatar_component_clause,[],[f87])). 1.43/0.63 tff(f327,plain,( 1.43/0.63 ~spl2_9 | spl2_18), 1.43/0.63 inference(avatar_contradiction_clause,[],[f326])). 1.43/0.63 tff(f326,plain,( 1.43/0.63 $false | (~spl2_9 | spl2_18)), 1.43/0.63 inference(resolution,[],[f179,f196])). 1.43/0.63 tff(f196,plain,( 1.43/0.63 ~in(0,sK0) | spl2_18), 1.43/0.63 inference(avatar_component_clause,[],[f195])). 1.43/0.63 tff(f195,plain,( 1.43/0.63 spl2_18 <=> in(0,sK0)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])). 1.43/0.63 tff(f179,plain,( 1.43/0.63 in(0,sK0) | ~spl2_9), 1.43/0.63 inference(resolution,[],[f115,f48])). 1.43/0.63 tff(f48,plain,( 1.43/0.63 ( ! [X2:$int,X0:$int,X1:collection] : (~in(X0,remove(X2,X1)) | in(X0,X1)) )), 1.43/0.63 inference(cnf_transformation,[],[f27])). 1.43/0.63 tff(f310,plain,( 1.43/0.63 spl2_11 | spl2_21), 1.43/0.63 inference(avatar_contradiction_clause,[],[f309])). 1.43/0.63 tff(f309,plain,( 1.43/0.63 $false | (spl2_11 | spl2_21)), 1.43/0.63 inference(resolution,[],[f308,f128])). 1.43/0.63 tff(f128,plain,( 1.43/0.63 ~in(sK1,sK0) | spl2_11), 1.43/0.63 inference(avatar_component_clause,[],[f126])). 1.43/0.63 tff(f308,plain,( 1.43/0.63 in(sK1,sK0) | spl2_21), 1.43/0.63 inference(trivial_inequality_removal,[],[f307])). 1.43/0.63 tff(f307,plain,( 1.43/0.63 count(sK0) != count(sK0) | in(sK1,sK0) | spl2_21), 1.43/0.63 inference(superposition,[],[f304,f40])). 1.43/0.63 tff(f40,plain,( 1.43/0.63 ( ! [X0:$int,X1:collection] : (count(X1) = count(remove(X0,X1)) | in(X0,X1)) )), 1.43/0.63 inference(cnf_transformation,[],[f23])). 1.43/0.63 tff(f23,plain,( 1.43/0.63 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(X1) = count(remove(X0,X1)))), 1.43/0.63 inference(rectify,[],[f7])). 1.43/0.63 tff(f7,axiom,( 1.43/0.63 ! [X13 : $int,X14 : collection] : (~in(X13,X14) <=> count(X14) = count(remove(X13,X14)))), 1.43/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)). 1.43/0.63 tff(f304,plain,( 1.43/0.63 count(remove(sK1,sK0)) != count(sK0) | spl2_21), 1.43/0.63 inference(avatar_component_clause,[],[f302])). 1.43/0.63 tff(f302,plain,( 1.43/0.63 spl2_21 <=> count(remove(sK1,sK0)) = count(sK0)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_21])])). 1.43/0.63 tff(f305,plain,( 1.43/0.63 ~spl2_9 | ~spl2_21 | spl2_6 | ~spl2_16), 1.43/0.63 inference(avatar_split_clause,[],[f298,f155,f87,f302,f114])). 1.43/0.63 tff(f155,plain,( 1.43/0.63 spl2_16 <=> count(add(sK1,sK0)) = $sum(count(sK0),1)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])). 1.43/0.63 tff(f298,plain,( 1.43/0.63 count(remove(sK1,sK0)) != count(sK0) | ~in(0,remove(sK1,sK0)) | (spl2_6 | ~spl2_16)), 1.43/0.63 inference(superposition,[],[f296,f44])). 1.43/0.63 tff(f296,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != count(sK0) | (spl2_6 | ~spl2_16)), 1.43/0.63 inference(evaluation,[],[f295])). 1.43/0.63 tff(f295,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != $sum($sum(count(sK0),1),-1) | (spl2_6 | ~spl2_16)), 1.43/0.63 inference(forward_demodulation,[],[f89,f156])). 1.43/0.63 tff(f156,plain,( 1.43/0.63 count(add(sK1,sK0)) = $sum(count(sK0),1) | ~spl2_16), 1.43/0.63 inference(avatar_component_clause,[],[f155])). 1.43/0.63 tff(f223,plain,( 1.43/0.63 spl2_3 | ~spl2_18 | spl2_9), 1.43/0.63 inference(avatar_split_clause,[],[f122,f114,f195,f71])). 1.43/0.63 tff(f122,plain,( 1.43/0.63 ~in(0,sK0) | 0 = sK1 | spl2_9), 1.43/0.63 inference(resolution,[],[f116,f47])). 1.43/0.63 tff(f47,plain,( 1.43/0.63 ( ! [X2:$int,X0:$int,X1:collection] : (in(X0,remove(X2,X1)) | ~in(X0,X1) | X0 = X2) )), 1.43/0.63 inference(cnf_transformation,[],[f27])). 1.43/0.63 tff(f116,plain,( 1.43/0.63 ~in(0,remove(sK1,sK0)) | spl2_9), 1.43/0.63 inference(avatar_component_clause,[],[f114])). 1.43/0.63 tff(f217,plain,( 1.43/0.63 ~spl2_1 | ~spl2_3), 1.43/0.63 inference(avatar_contradiction_clause,[],[f213])). 1.43/0.63 tff(f213,plain,( 1.43/0.63 $false | (~spl2_1 | ~spl2_3)), 1.43/0.63 inference(resolution,[],[f200,f54])). 1.43/0.63 tff(f200,plain,( 1.43/0.63 in(0,remove(0,add(0,sK0))) | (~spl2_1 | ~spl2_3)), 1.43/0.63 inference(backward_demodulation,[],[f62,f73])). 1.43/0.63 tff(f62,plain,( 1.43/0.63 in(0,remove(sK1,add(sK1,sK0))) | ~spl2_1), 1.43/0.63 inference(avatar_component_clause,[],[f61])). 1.43/0.63 tff(f61,plain,( 1.43/0.63 spl2_1 <=> in(0,remove(sK1,add(sK1,sK0)))), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])). 1.43/0.63 tff(f198,plain,( 1.43/0.63 spl2_18 | spl2_3 | ~spl2_1), 1.43/0.63 inference(avatar_split_clause,[],[f192,f61,f71,f195])). 1.43/0.63 tff(f192,plain,( 1.43/0.63 0 = sK1 | in(0,sK0) | ~spl2_1), 1.43/0.63 inference(resolution,[],[f187,f52])). 1.43/0.63 tff(f52,plain,( 1.43/0.63 ( ! [X2:$int,X0:$int,X1:collection] : (~in(X0,add(X2,X1)) | X0 = X2 | in(X0,X1)) )), 1.43/0.63 inference(cnf_transformation,[],[f28])). 1.43/0.63 tff(f28,plain,( 1.43/0.63 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2) <=> in(X0,add(X2,X1)))), 1.43/0.63 inference(rectify,[],[f5])). 1.43/0.63 tff(f5,axiom,( 1.43/0.63 ! [X8 : $int,X9 : collection,X10 : $int] : ((in(X8,X9) | X8 = X10) <=> in(X8,add(X10,X9)))), 1.43/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)). 1.43/0.63 tff(f187,plain,( 1.43/0.63 in(0,add(sK1,sK0)) | ~spl2_1), 1.43/0.63 inference(resolution,[],[f62,f48])). 1.43/0.63 tff(f185,plain,( 1.43/0.63 spl2_4 | ~spl2_9), 1.43/0.63 inference(avatar_contradiction_clause,[],[f184])). 1.43/0.63 tff(f184,plain,( 1.43/0.63 $false | (spl2_4 | ~spl2_9)), 1.43/0.63 inference(resolution,[],[f179,f79])). 1.43/0.63 tff(f79,plain,( 1.43/0.63 ~in(0,sK0) | spl2_4), 1.43/0.63 inference(resolution,[],[f77,f51])). 1.43/0.63 tff(f51,plain,( 1.43/0.63 ( ! [X2:$int,X0:$int,X1:collection] : (in(X0,add(X2,X1)) | ~in(X0,X1)) )), 1.43/0.63 inference(cnf_transformation,[],[f28])). 1.43/0.63 tff(f77,plain,( 1.43/0.63 ~in(0,add(sK1,sK0)) | spl2_4), 1.43/0.63 inference(avatar_component_clause,[],[f75])). 1.43/0.63 tff(f75,plain,( 1.43/0.63 spl2_4 <=> in(0,add(sK1,sK0))), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 1.43/0.63 tff(f178,plain,( 1.43/0.63 ~spl2_11 | spl2_17), 1.43/0.63 inference(avatar_contradiction_clause,[],[f177])). 1.43/0.63 tff(f177,plain,( 1.43/0.63 $false | (~spl2_11 | spl2_17)), 1.43/0.63 inference(resolution,[],[f127,f174])). 1.43/0.63 tff(f174,plain,( 1.43/0.63 ~in(sK1,sK0) | spl2_17), 1.43/0.63 inference(trivial_inequality_removal,[],[f172])). 1.43/0.63 tff(f172,plain,( 1.43/0.63 count(sK0) != count(sK0) | ~in(sK1,sK0) | spl2_17), 1.43/0.63 inference(superposition,[],[f167,f44])). 1.43/0.63 tff(f167,plain,( 1.43/0.63 count(add(sK1,sK0)) != count(sK0) | spl2_17), 1.43/0.63 inference(avatar_component_clause,[],[f165])). 1.43/0.63 tff(f168,plain,( 1.43/0.63 ~spl2_11 | ~spl2_17 | spl2_14), 1.43/0.63 inference(avatar_split_clause,[],[f148,f142,f165,f126])). 1.43/0.63 tff(f142,plain,( 1.43/0.63 spl2_14 <=> count(add(sK1,sK0)) = $sum(count(remove(sK1,sK0)),1)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_14])])). 1.43/0.63 tff(f148,plain,( 1.43/0.63 count(add(sK1,sK0)) != count(sK0) | ~in(sK1,sK0) | spl2_14), 1.43/0.63 inference(evaluation,[],[f146])). 1.43/0.63 tff(f146,plain,( 1.43/0.63 count(add(sK1,sK0)) != $sum($sum(count(sK0),-1),1) | ~in(sK1,sK0) | spl2_14), 1.43/0.63 inference(superposition,[],[f144,f57])). 1.43/0.63 tff(f144,plain,( 1.43/0.63 count(add(sK1,sK0)) != $sum(count(remove(sK1,sK0)),1) | spl2_14), 1.43/0.63 inference(avatar_component_clause,[],[f142])). 1.43/0.63 tff(f163,plain,( 1.43/0.63 spl2_11 | spl2_16), 1.43/0.63 inference(avatar_contradiction_clause,[],[f162])). 1.43/0.63 tff(f162,plain,( 1.43/0.63 $false | (spl2_11 | spl2_16)), 1.43/0.63 inference(resolution,[],[f161,f128])). 1.43/0.63 tff(f161,plain,( 1.43/0.63 in(sK1,sK0) | spl2_16), 1.43/0.63 inference(trivial_inequality_removal,[],[f160])). 1.43/0.63 tff(f160,plain,( 1.43/0.63 $sum(count(sK0),1) != $sum(count(sK0),1) | in(sK1,sK0) | spl2_16), 1.43/0.63 inference(superposition,[],[f157,f42])). 1.43/0.63 tff(f42,plain,( 1.43/0.63 ( ! [X0:$int,X1:collection] : (count(add(X0,X1)) = $sum(count(X1),1) | in(X0,X1)) )), 1.43/0.63 inference(cnf_transformation,[],[f24])). 1.43/0.63 tff(f24,plain,( 1.43/0.63 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(add(X0,X1)) = $sum(count(X1),1))), 1.43/0.63 inference(rectify,[],[f11])). 1.43/0.63 tff(f11,axiom,( 1.43/0.63 ! [X19 : $int,X20 : collection] : (~in(X19,X20) <=> count(add(X19,X20)) = $sum(count(X20),1))), 1.43/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)). 1.43/0.63 tff(f157,plain,( 1.43/0.63 count(add(sK1,sK0)) != $sum(count(sK0),1) | spl2_16), 1.43/0.63 inference(avatar_component_clause,[],[f155])). 1.43/0.63 tff(f158,plain,( 1.43/0.63 spl2_11 | ~spl2_16 | spl2_14), 1.43/0.63 inference(avatar_split_clause,[],[f147,f142,f155,f126])). 1.43/0.63 tff(f147,plain,( 1.43/0.63 count(add(sK1,sK0)) != $sum(count(sK0),1) | in(sK1,sK0) | spl2_14), 1.43/0.63 inference(superposition,[],[f144,f40])). 1.43/0.63 tff(f145,plain,( 1.43/0.63 spl2_9 | ~spl2_14 | spl2_8), 1.43/0.63 inference(avatar_split_clause,[],[f112,f107,f142,f114])). 1.43/0.63 tff(f107,plain,( 1.43/0.63 spl2_8 <=> count(add(0,remove(sK1,sK0))) = count(add(sK1,sK0))), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])). 1.43/0.63 tff(f112,plain,( 1.43/0.63 count(add(sK1,sK0)) != $sum(count(remove(sK1,sK0)),1) | in(0,remove(sK1,sK0)) | spl2_8), 1.43/0.63 inference(superposition,[],[f109,f42])). 1.43/0.63 tff(f109,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != count(add(sK1,sK0)) | spl2_8), 1.43/0.63 inference(avatar_component_clause,[],[f107])). 1.43/0.63 tff(f110,plain,( 1.43/0.63 ~spl2_5 | ~spl2_8 | spl2_7), 1.43/0.63 inference(avatar_split_clause,[],[f105,f99,f107,f83])). 1.43/0.63 tff(f83,plain,( 1.43/0.63 spl2_5 <=> in(sK1,add(sK1,sK0))), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])). 1.43/0.63 tff(f99,plain,( 1.43/0.63 spl2_7 <=> count(add(0,remove(sK1,sK0))) = $sum(count(remove(sK1,add(sK1,sK0))),1)), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_7])])). 1.43/0.63 tff(f105,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != count(add(sK1,sK0)) | ~in(sK1,add(sK1,sK0)) | spl2_7), 1.43/0.63 inference(evaluation,[],[f103])). 1.43/0.63 tff(f103,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != $sum($sum(count(add(sK1,sK0)),-1),1) | ~in(sK1,add(sK1,sK0)) | spl2_7), 1.43/0.63 inference(superposition,[],[f101,f57])). 1.43/0.63 tff(f101,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != $sum(count(remove(sK1,add(sK1,sK0))),1) | spl2_7), 1.43/0.63 inference(avatar_component_clause,[],[f99])). 1.43/0.63 tff(f102,plain,( 1.43/0.63 spl2_1 | ~spl2_7), 1.43/0.63 inference(avatar_split_clause,[],[f59,f99,f61])). 1.43/0.63 tff(f59,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != $sum(count(remove(sK1,add(sK1,sK0))),1) | in(0,remove(sK1,add(sK1,sK0)))), 1.43/0.63 inference(superposition,[],[f31,f42])). 1.43/0.63 tff(f31,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != count(add(0,remove(sK1,add(sK1,sK0))))), 1.43/0.63 inference(cnf_transformation,[],[f29])). 1.43/0.63 tff(f29,plain,( 1.43/0.63 ? [X0 : collection,X1 : $int] : count(add(0,remove(X1,X0))) != count(add(0,remove(X1,add(X1,X0))))), 1.43/0.63 inference(ennf_transformation,[],[f17])). 1.43/0.63 tff(f17,plain,( 1.43/0.63 ~! [X0 : collection,X1 : $int] : count(add(0,remove(X1,X0))) = count(add(0,remove(X1,add(X1,X0))))), 1.43/0.63 inference(rectify,[],[f14])). 1.43/0.63 tff(f14,negated_conjecture,( 1.43/0.63 ~! [X5 : collection,X0 : $int] : count(add(0,remove(X0,X5))) = count(add(0,remove(X0,add(X0,X5))))), 1.43/0.63 inference(negated_conjecture,[],[f13])). 1.43/0.63 tff(f13,conjecture,( 1.43/0.63 ! [X5 : collection,X0 : $int] : count(add(0,remove(X0,X5))) = count(add(0,remove(X0,add(X0,X5))))), 1.43/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)). 1.43/0.63 tff(f95,plain,( 1.43/0.63 spl2_5), 1.43/0.63 inference(avatar_contradiction_clause,[],[f91])). 1.43/0.63 tff(f91,plain,( 1.43/0.63 $false | spl2_5), 1.43/0.63 inference(resolution,[],[f85,f55])). 1.43/0.63 tff(f55,plain,( 1.43/0.63 ( ! [X2:$int,X1:collection] : (in(X2,add(X2,X1))) )), 1.43/0.63 inference(equality_resolution,[],[f50])). 1.43/0.63 tff(f50,plain,( 1.43/0.63 ( ! [X2:$int,X0:$int,X1:collection] : (in(X0,add(X2,X1)) | X0 != X2) )), 1.43/0.63 inference(cnf_transformation,[],[f28])). 1.43/0.63 tff(f85,plain,( 1.43/0.63 ~in(sK1,add(sK1,sK0)) | spl2_5), 1.43/0.63 inference(avatar_component_clause,[],[f83])). 1.43/0.63 tff(f90,plain,( 1.43/0.63 ~spl2_5 | ~spl2_6 | spl2_2), 1.43/0.63 inference(avatar_split_clause,[],[f80,f65,f87,f83])). 1.43/0.63 tff(f65,plain,( 1.43/0.63 spl2_2 <=> count(add(0,remove(sK1,sK0))) = count(remove(sK1,add(sK1,sK0)))), 1.43/0.63 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 1.43/0.63 tff(f80,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != $sum(count(add(sK1,sK0)),-1) | ~in(sK1,add(sK1,sK0)) | spl2_2), 1.43/0.63 inference(superposition,[],[f67,f57])). 1.43/0.63 tff(f67,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != count(remove(sK1,add(sK1,sK0))) | spl2_2), 1.43/0.63 inference(avatar_component_clause,[],[f65])). 1.43/0.63 tff(f78,plain,( 1.43/0.63 spl2_3 | ~spl2_4 | spl2_1), 1.43/0.63 inference(avatar_split_clause,[],[f69,f61,f75,f71])). 1.43/0.63 tff(f69,plain,( 1.43/0.63 ~in(0,add(sK1,sK0)) | 0 = sK1 | spl2_1), 1.43/0.63 inference(resolution,[],[f63,f47])). 1.43/0.63 tff(f63,plain,( 1.43/0.63 ~in(0,remove(sK1,add(sK1,sK0))) | spl2_1), 1.43/0.63 inference(avatar_component_clause,[],[f61])). 1.43/0.63 tff(f68,plain,( 1.43/0.63 ~spl2_1 | ~spl2_2), 1.43/0.63 inference(avatar_split_clause,[],[f58,f65,f61])). 1.43/0.63 tff(f58,plain,( 1.43/0.63 count(add(0,remove(sK1,sK0))) != count(remove(sK1,add(sK1,sK0))) | ~in(0,remove(sK1,add(sK1,sK0)))), 1.43/0.63 inference(superposition,[],[f31,f44])). 1.43/0.63 % SZS output end Proof for theBenchmark 1.43/0.63 % (6646)------------------------------ 1.43/0.63 % (6646)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.43/0.63 % (6646)Termination reason: Refutation 1.43/0.63 1.43/0.63 % (6646)Memory used [KB]: 10618 1.43/0.63 % (6646)Time elapsed: 0.201 s 1.43/0.63 % (6646)------------------------------ 1.43/0.63 % (6646)------------------------------ 1.43/0.64 % (6616)Success in time 0.271 s 1.43/0.64 EOF