0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_vampire %s %d 0.13/0.34 Computer : n028.cluster.edu 0.13/0.34 Model : x86_64 x86_64 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 RAMPerCPU : 8042.1875MB 0.13/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:28:35 EDT 2022 0.13/0.34 % CPUTime : 0.21/0.45 % (19307)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 0.21/0.49 % (19323)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 0.21/0.51 % (19331)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 0.21/0.52 % (19315)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 0.21/0.52 % (19328)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 0.21/0.53 % (19320)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 0.21/0.53 % (19312)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 0.21/0.53 % (19308)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 0.21/0.54 % (19310)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 0.21/0.54 % (19306)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 0.21/0.54 % (19335)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 0.21/0.54 % (19309)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 0.21/0.54 % (19335)Refutation not found, incomplete strategy% (19335)------------------------------ 0.21/0.54 % (19335)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.21/0.54 % (19335)Termination reason: Refutation not found, incomplete strategy 0.21/0.54 0.21/0.54 % (19335)Memory used [KB]: 10490 0.21/0.54 % (19335)Time elapsed: 0.127 s 0.21/0.54 % (19335)------------------------------ 0.21/0.54 % (19335)------------------------------ 0.21/0.54 % (19318)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 0.21/0.54 % (19311)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 0.21/0.54 % (19316)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 0.21/0.54 % (19333)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 0.21/0.55 % (19329)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 0.21/0.55 % (19334)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 0.21/0.55 % (19325)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 0.21/0.55 % (19327)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 0.21/0.55 % (19332)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 0.21/0.55 % (19325)Refutation not found, incomplete strategy% (19325)------------------------------ 0.21/0.55 % (19325)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.21/0.55 % (19325)Termination reason: Refutation not found, incomplete strategy 0.21/0.55 0.21/0.55 % (19325)Memory used [KB]: 6012 0.21/0.55 % (19325)Time elapsed: 0.139 s 0.21/0.55 % (19325)------------------------------ 0.21/0.55 % (19325)------------------------------ 0.21/0.55 % (19314)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 0.21/0.55 % (19326)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 0.21/0.56 % (19317)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 0.21/0.56 % (19319)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 0.21/0.56 % (19321)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 0.21/0.56 % (19324)WARNING: option uwaf not known. 0.21/0.56 % (19324)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 0.21/0.56 % (19317)Refutation not found, incomplete strategy% (19317)------------------------------ 0.21/0.56 % (19317)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.21/0.56 % (19317)Termination reason: Refutation not found, incomplete strategy 0.21/0.56 0.21/0.56 % (19317)Memory used [KB]: 6012 0.21/0.56 % (19317)Time elapsed: 0.150 s 0.21/0.56 % (19317)------------------------------ 0.21/0.56 % (19317)------------------------------ 0.21/0.56 % (19330)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 0.21/0.57 % (19322)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 0.21/0.57 % (19313)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 2.03/0.65 % (19323)Refutation not found, incomplete strategy% (19323)------------------------------ 2.03/0.65 % (19323)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.03/0.65 % (19323)Termination reason: Refutation not found, incomplete strategy 2.03/0.65 2.03/0.65 % (19323)Memory used [KB]: 6012 2.03/0.65 % (19323)Time elapsed: 0.264 s 2.03/0.65 % (19323)------------------------------ 2.03/0.65 % (19323)------------------------------ 2.31/0.69 % (19329)Refutation not found, incomplete strategy% (19329)------------------------------ 2.31/0.69 % (19329)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.31/0.69 % (19412)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 2.31/0.70 % (19329)Termination reason: Refutation not found, incomplete strategy 2.31/0.70 2.31/0.70 % (19329)Memory used [KB]: 6012 2.31/0.70 % (19329)Time elapsed: 0.280 s 2.31/0.70 % (19329)------------------------------ 2.31/0.70 % (19329)------------------------------ 2.31/0.70 % (19414)WARNING: option uwaf not known. 2.31/0.72 % (19414)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 2.80/0.73 % (19308)Refutation found. Thanks to Tanya! 2.80/0.73 % SZS status Theorem for theBenchmark 2.80/0.73 % SZS output start Proof for theBenchmark 2.80/0.73 tff(type_def_5, type, collection: $tType). 2.80/0.73 tff(func_def_0, type, empty: collection). 2.80/0.73 tff(func_def_1, type, add: ($int * collection) > collection). 2.80/0.73 tff(func_def_2, type, remove: ($int * collection) > collection). 2.80/0.73 tff(func_def_3, type, count: collection > $int). 2.80/0.73 tff(func_def_13, type, sK0: collection). 2.80/0.73 tff(func_def_14, type, sK1: $int). 2.80/0.73 tff(func_def_15, type, sK2: $int). 2.80/0.73 tff(pred_def_1, type, in: ($int * collection) > $o). 2.80/0.73 tff(f470,plain,( 2.80/0.73 $false), 2.80/0.73 inference(avatar_sat_refutation,[],[f78,f82,f86,f90,f94,f98,f106,f110,f114,f122,f126,f130,f138,f142,f146,f153,f172,f177,f196,f201,f234,f240,f252,f271,f393,f400,f418,f425,f433,f444,f448,f454,f459,f465,f469])). 2.80/0.73 tff(f469,plain,( 2.80/0.73 spl3_40 | ~spl3_34), 2.80/0.73 inference(avatar_split_clause,[],[f453,f423,f467])). 2.80/0.73 tff(f467,plain,( 2.80/0.73 spl3_40 <=> empty = add(5,remove(5,empty))), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_40])])). 2.80/0.73 tff(f423,plain,( 2.80/0.73 spl3_34 <=> in(5,empty)), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_34])])). 2.80/0.73 tff(f453,plain,( 2.80/0.73 empty = add(5,remove(5,empty)) | ~spl3_34), 2.80/0.73 inference(resolution,[],[f424,f55])). 2.80/0.73 tff(f55,plain,( 2.80/0.73 ( ! [X0:$int,X1:collection] : (~in(X0,X1) | add(X0,remove(X0,X1)) = X1) )), 2.80/0.73 inference(cnf_transformation,[],[f31])). 2.80/0.73 tff(f31,plain,( 2.80/0.73 ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1))), 2.80/0.73 inference(ennf_transformation,[],[f22])). 2.80/0.73 tff(f22,plain,( 2.80/0.73 ! [X0 : $int,X1 : collection] : (in(X0,X1) => add(X0,remove(X0,X1)) = X1)), 2.80/0.73 inference(rectify,[],[f6])). 2.80/0.73 tff(f6,axiom,( 2.80/0.73 ! [X11 : $int,X12 : collection] : (in(X11,X12) => add(X11,remove(X11,X12)) = X12)), 2.80/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7)). 2.80/0.73 tff(f424,plain,( 2.80/0.73 in(5,empty) | ~spl3_34), 2.80/0.73 inference(avatar_component_clause,[],[f423])). 2.80/0.73 tff(f465,plain,( 2.80/0.73 spl3_39 | ~spl3_34), 2.80/0.73 inference(avatar_split_clause,[],[f461,f423,f463])). 2.80/0.73 tff(f463,plain,( 2.80/0.73 spl3_39 <=> -1 = count(remove(5,empty))), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_39])])). 2.80/0.73 tff(f461,plain,( 2.80/0.73 -1 = count(remove(5,empty)) | ~spl3_34), 2.80/0.73 inference(evaluation,[],[f460])). 2.80/0.73 tff(f460,plain,( 2.80/0.73 count(remove(5,empty)) = $sum(0,-1) | ~spl3_34), 2.80/0.73 inference(forward_demodulation,[],[f452,f70])). 2.80/0.73 tff(f70,plain,( 2.80/0.73 0 = count(empty)), 2.80/0.73 inference(equality_resolution,[],[f52])). 2.80/0.73 tff(f52,plain,( 2.80/0.73 ( ! [X0:collection] : (0 = count(X0) | empty != X0) )), 2.80/0.73 inference(cnf_transformation,[],[f34])). 2.80/0.73 tff(f34,plain,( 2.80/0.73 ! [X0 : collection] : ((0 = count(X0) | empty != X0) & (empty = X0 | 0 != count(X0)))), 2.80/0.73 inference(nnf_transformation,[],[f20])). 2.80/0.73 tff(f20,plain,( 2.80/0.73 ! [X0 : collection] : (0 = count(X0) <=> empty = X0)), 2.80/0.73 inference(rectify,[],[f12])). 2.80/0.73 tff(f12,axiom,( 2.80/0.73 ! [X22 : collection] : (0 = count(X22) <=> empty = X22)), 2.80/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)). 2.80/0.73 tff(f452,plain,( 2.80/0.73 count(remove(5,empty)) = $sum(count(empty),-1) | ~spl3_34), 2.80/0.73 inference(resolution,[],[f424,f74])). 2.80/0.73 tff(f74,plain,( 2.80/0.73 ( ! [X0:$int,X1:collection] : (~in(X0,X1) | count(remove(X0,X1)) = $sum(count(X1),-1)) )), 2.80/0.73 inference(evaluation,[],[f60])). 2.80/0.73 tff(f60,plain,( 2.80/0.73 ( ! [X0:$int,X1:collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) )), 2.80/0.73 inference(cnf_transformation,[],[f37])). 2.80/0.73 tff(f37,plain,( 2.80/0.73 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) & (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)))), 2.80/0.73 inference(nnf_transformation,[],[f25])). 2.80/0.73 tff(f25,plain,( 2.80/0.73 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(remove(X0,X1)) = $sum(count(X1),$uminus(1)))), 2.80/0.73 inference(rectify,[],[f16])). 2.80/0.73 tff(f16,plain,( 2.80/0.73 ! [X15 : $int,X16 : collection] : (in(X15,X16) <=> count(remove(X15,X16)) = $sum(count(X16),$uminus(1)))), 2.80/0.73 inference(theory_normalization,[],[f8])). 2.80/0.73 tff(f8,axiom,( 2.80/0.73 ! [X15 : $int,X16 : collection] : (in(X15,X16) <=> count(remove(X15,X16)) = $difference(count(X16),1))), 2.80/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 2.80/0.73 tff(f459,plain,( 2.80/0.73 spl3_38 | ~spl3_34), 2.80/0.73 inference(avatar_split_clause,[],[f455,f423,f457])). 2.80/0.73 tff(f457,plain,( 2.80/0.73 spl3_38 <=> 0 = count(add(5,empty))), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_38])])). 2.80/0.73 tff(f455,plain,( 2.80/0.73 0 = count(add(5,empty)) | ~spl3_34), 2.80/0.73 inference(forward_demodulation,[],[f451,f70])). 2.80/0.73 tff(f451,plain,( 2.80/0.73 count(empty) = count(add(5,empty)) | ~spl3_34), 2.80/0.73 inference(resolution,[],[f424,f63])). 2.80/0.73 tff(f63,plain,( 2.80/0.73 ( ! [X0:$int,X1:collection] : (~in(X0,X1) | count(X1) = count(add(X0,X1))) )), 2.80/0.73 inference(cnf_transformation,[],[f38])). 2.80/0.73 tff(f38,plain,( 2.80/0.73 ! [X0 : $int,X1 : collection] : ((count(X1) = count(add(X0,X1)) | ~in(X0,X1)) & (in(X0,X1) | count(X1) != count(add(X0,X1))))), 2.80/0.73 inference(nnf_transformation,[],[f26])). 2.80/0.73 tff(f26,plain,( 2.80/0.73 ! [X0 : $int,X1 : collection] : (count(X1) = count(add(X0,X1)) <=> in(X0,X1))), 2.80/0.73 inference(rectify,[],[f7])). 2.80/0.73 tff(f7,axiom,( 2.80/0.73 ! [X13 : $int,X14 : collection] : (count(add(X13,X14)) = count(X14) <=> in(X13,X14))), 2.80/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)). 2.80/0.73 tff(f454,plain,( 2.80/0.73 ~spl3_34), 2.80/0.73 inference(avatar_contradiction_clause,[],[f449])). 2.80/0.73 tff(f449,plain,( 2.80/0.73 $false | ~spl3_34), 2.80/0.73 inference(resolution,[],[f424,f49])). 2.80/0.73 tff(f49,plain,( 2.80/0.73 ( ! [X0:$int] : (~in(X0,empty)) )), 2.80/0.73 inference(cnf_transformation,[],[f18])). 2.80/0.73 tff(f18,plain,( 2.80/0.73 ! [X0 : $int] : ~in(X0,empty)), 2.80/0.73 inference(rectify,[],[f4])). 2.80/0.73 tff(f4,axiom,( 2.80/0.73 ! [X7 : $int] : ~in(X7,empty)), 2.80/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)). 2.80/0.73 tff(f448,plain,( 2.80/0.73 spl3_33 | spl3_37 | ~spl3_6 | ~spl3_27), 2.80/0.73 inference(avatar_split_clause,[],[f439,f269,f96,f446,f420])). 2.80/0.73 tff(f420,plain,( 2.80/0.73 spl3_33 <=> 5 = sK1), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_33])])). 2.80/0.73 tff(f446,plain,( 2.80/0.73 spl3_37 <=> empty = remove(sK1,remove(5,sK0))), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_37])])). 2.80/0.73 tff(f96,plain,( 2.80/0.73 spl3_6 <=> in(sK1,sK0)), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_6])])). 2.80/0.73 tff(f269,plain,( 2.80/0.73 spl3_27 <=> 1 = count(remove(5,sK0))), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_27])])). 2.80/0.73 tff(f439,plain,( 2.80/0.73 empty = remove(sK1,remove(5,sK0)) | 5 = sK1 | (~spl3_6 | ~spl3_27)), 2.80/0.73 inference(evaluation,[],[f438])). 2.80/0.73 tff(f438,plain,( 2.80/0.73 0 != $sum(1,-1) | empty = remove(sK1,remove(5,sK0)) | 5 = sK1 | (~spl3_6 | ~spl3_27)), 2.80/0.73 inference(superposition,[],[f342,f270])). 2.80/0.73 tff(f270,plain,( 2.80/0.73 1 = count(remove(5,sK0)) | ~spl3_27), 2.80/0.73 inference(avatar_component_clause,[],[f269])). 2.80/0.73 tff(f342,plain,( 2.80/0.73 ( ! [X2:$int] : (0 != $sum(count(remove(X2,sK0)),-1) | empty = remove(sK1,remove(X2,sK0)) | sK1 = X2) ) | ~spl3_6), 2.80/0.73 inference(superposition,[],[f51,f219])). 2.80/0.73 tff(f219,plain,( 2.80/0.73 ( ! [X4:$int] : ($sum(count(remove(X4,sK0)),-1) = count(remove(sK1,remove(X4,sK0))) | sK1 = X4) ) | ~spl3_6), 2.80/0.73 inference(resolution,[],[f115,f74])). 2.80/0.73 tff(f115,plain,( 2.80/0.73 ( ! [X0:$int] : (in(sK1,remove(X0,sK0)) | sK1 = X0) ) | ~spl3_6), 2.80/0.73 inference(resolution,[],[f97,f67])). 2.80/0.73 tff(f67,plain,( 2.80/0.73 ( ! [X2:$int,X0:$int,X1:collection] : (~in(X0,X1) | X0 = X2 | in(X0,remove(X2,X1))) )), 2.80/0.73 inference(cnf_transformation,[],[f42])). 2.80/0.73 tff(f42,plain,( 2.80/0.73 ! [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)))), 2.80/0.73 inference(flattening,[],[f41])). 2.80/0.73 tff(f41,plain,( 2.80/0.73 ! [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))))), 2.80/0.73 inference(nnf_transformation,[],[f28])). 2.80/0.73 tff(f28,plain,( 2.80/0.73 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))), 2.80/0.73 inference(rectify,[],[f5])). 2.80/0.73 tff(f5,axiom,( 2.80/0.73 ! [X8 : $int,X9 : collection,X10 : $int] : ((X8 != X10 & in(X8,X9)) <=> in(X8,remove(X10,X9)))), 2.80/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 2.80/0.73 tff(f97,plain,( 2.80/0.73 in(sK1,sK0) | ~spl3_6), 2.80/0.73 inference(avatar_component_clause,[],[f96])). 2.80/0.73 tff(f51,plain,( 2.80/0.73 ( ! [X0:collection] : (0 != count(X0) | empty = X0) )), 2.80/0.73 inference(cnf_transformation,[],[f34])). 2.80/0.73 tff(f444,plain,( 2.80/0.73 spl3_28 | spl3_36 | ~spl3_6 | ~spl3_25), 2.80/0.73 inference(avatar_split_clause,[],[f440,f238,f96,f442,f388])). 2.80/0.73 tff(f388,plain,( 2.80/0.73 spl3_28 <=> sK1 = sK2), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_28])])). 2.80/0.73 tff(f442,plain,( 2.80/0.73 spl3_36 <=> empty = remove(sK1,remove(sK2,sK0))), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_36])])). 2.80/0.73 tff(f238,plain,( 2.80/0.73 spl3_25 <=> 1 = count(remove(sK2,sK0))), 2.80/0.73 introduced(avatar_definition,[new_symbols(naming,[spl3_25])])). 2.80/0.73 tff(f440,plain,( 2.80/0.73 empty = remove(sK1,remove(sK2,sK0)) | sK1 = sK2 | (~spl3_6 | ~spl3_25)), 2.80/0.73 inference(evaluation,[],[f436])). 2.80/0.73 tff(f436,plain,( 2.80/0.73 0 != $sum(1,-1) | empty = remove(sK1,remove(sK2,sK0)) | sK1 = sK2 | (~spl3_6 | ~spl3_25)), 2.80/0.73 inference(superposition,[],[f342,f239])). 2.80/0.73 tff(f239,plain,( 2.80/0.73 1 = count(remove(sK2,sK0)) | ~spl3_25), 2.80/0.73 inference(avatar_component_clause,[],[f238])). 2.80/0.74 tff(f433,plain,( 2.80/0.74 spl3_35 | ~spl3_26 | ~spl3_29), 2.80/0.74 inference(avatar_split_clause,[],[f429,f391,f250,f431])). 2.80/0.74 tff(f431,plain,( 2.80/0.74 spl3_35 <=> in(sK2,remove(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_35])])). 2.80/0.74 tff(f250,plain,( 2.80/0.74 spl3_26 <=> 1 = count(remove(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_26])])). 2.80/0.74 tff(f391,plain,( 2.80/0.74 spl3_29 <=> empty = remove(sK2,remove(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_29])])). 2.80/0.74 tff(f429,plain,( 2.80/0.74 in(sK2,remove(sK1,sK0)) | (~spl3_26 | ~spl3_29)), 2.80/0.74 inference(trivial_inequality_removal,[],[f428])). 2.80/0.74 tff(f428,plain,( 2.80/0.74 0 != 0 | in(sK2,remove(sK1,sK0)) | (~spl3_26 | ~spl3_29)), 2.80/0.74 inference(forward_demodulation,[],[f427,f70])). 2.80/0.74 tff(f427,plain,( 2.80/0.74 0 != count(empty) | in(sK2,remove(sK1,sK0)) | (~spl3_26 | ~spl3_29)), 2.80/0.74 inference(evaluation,[],[f426])). 2.80/0.74 tff(f426,plain,( 2.80/0.74 count(empty) != $sum(1,-1) | in(sK2,remove(sK1,sK0)) | (~spl3_26 | ~spl3_29)), 2.80/0.74 inference(forward_demodulation,[],[f410,f251])). 2.80/0.74 tff(f251,plain,( 2.80/0.74 1 = count(remove(sK1,sK0)) | ~spl3_26), 2.80/0.74 inference(avatar_component_clause,[],[f250])). 2.80/0.74 tff(f410,plain,( 2.80/0.74 count(empty) != $sum(count(remove(sK1,sK0)),-1) | in(sK2,remove(sK1,sK0)) | ~spl3_29), 2.80/0.74 inference(superposition,[],[f73,f392])). 2.80/0.74 tff(f392,plain,( 2.80/0.74 empty = remove(sK2,remove(sK1,sK0)) | ~spl3_29), 2.80/0.74 inference(avatar_component_clause,[],[f391])). 2.80/0.74 tff(f73,plain,( 2.80/0.74 ( ! [X0:$int,X1:collection] : (count(remove(X0,X1)) != $sum(count(X1),-1) | in(X0,X1)) )), 2.80/0.74 inference(evaluation,[],[f61])). 2.80/0.74 tff(f61,plain,( 2.80/0.74 ( ! [X0:$int,X1:collection] : (in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) )), 2.80/0.74 inference(cnf_transformation,[],[f37])). 2.80/0.74 tff(f425,plain,( 2.80/0.74 spl3_33 | spl3_30 | spl3_34 | ~spl3_1 | ~spl3_29), 2.80/0.74 inference(avatar_split_clause,[],[f405,f391,f76,f423,f395,f420])). 2.80/0.74 tff(f395,plain,( 2.80/0.74 spl3_30 <=> 5 = sK2), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_30])])). 2.80/0.74 tff(f76,plain,( 2.80/0.74 spl3_1 <=> in(5,sK0)), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])). 2.80/0.74 tff(f405,plain,( 2.80/0.74 in(5,empty) | 5 = sK2 | 5 = sK1 | (~spl3_1 | ~spl3_29)), 2.80/0.74 inference(superposition,[],[f262,f392])). 2.80/0.74 tff(f262,plain,( 2.80/0.74 ( ! [X2:$int,X1:$int] : (in(5,remove(X2,remove(X1,sK0))) | 5 = X2 | 5 = X1) ) | ~spl3_1), 2.80/0.74 inference(resolution,[],[f131,f67])). 2.80/0.74 tff(f131,plain,( 2.80/0.74 ( ! [X0:$int] : (in(5,remove(X0,sK0)) | 5 = X0) ) | ~spl3_1), 2.80/0.74 inference(resolution,[],[f77,f67])). 2.80/0.74 tff(f77,plain,( 2.80/0.74 in(5,sK0) | ~spl3_1), 2.80/0.74 inference(avatar_component_clause,[],[f76])). 2.80/0.74 tff(f418,plain,( 2.80/0.74 spl3_28 | spl3_32 | ~spl3_4 | ~spl3_29), 2.80/0.74 inference(avatar_split_clause,[],[f402,f391,f88,f416,f388])). 2.80/0.74 tff(f416,plain,( 2.80/0.74 spl3_32 <=> remove(sK1,sK0) = add(sK2,empty)), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_32])])). 2.80/0.74 tff(f88,plain,( 2.80/0.74 spl3_4 <=> in(sK2,sK0)), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])). 2.80/0.74 tff(f402,plain,( 2.80/0.74 remove(sK1,sK0) = add(sK2,empty) | sK1 = sK2 | (~spl3_4 | ~spl3_29)), 2.80/0.74 inference(superposition,[],[f213,f392])). 2.80/0.74 tff(f213,plain,( 2.80/0.74 ( ! [X5:$int] : (remove(X5,sK0) = add(sK2,remove(sK2,remove(X5,sK0))) | sK2 = X5) ) | ~spl3_4), 2.80/0.74 inference(resolution,[],[f99,f55])). 2.80/0.74 tff(f99,plain,( 2.80/0.74 ( ! [X0:$int] : (in(sK2,remove(X0,sK0)) | sK2 = X0) ) | ~spl3_4), 2.80/0.74 inference(resolution,[],[f89,f67])). 2.80/0.74 tff(f89,plain,( 2.80/0.74 in(sK2,sK0) | ~spl3_4), 2.80/0.74 inference(avatar_component_clause,[],[f88])). 2.80/0.74 tff(f400,plain,( 2.80/0.74 spl3_30 | spl3_31 | ~spl3_4 | ~spl3_27), 2.80/0.74 inference(avatar_split_clause,[],[f385,f269,f88,f398,f395])). 2.80/0.74 tff(f398,plain,( 2.80/0.74 spl3_31 <=> empty = remove(sK2,remove(5,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_31])])). 2.80/0.74 tff(f385,plain,( 2.80/0.74 empty = remove(sK2,remove(5,sK0)) | 5 = sK2 | (~spl3_4 | ~spl3_27)), 2.80/0.74 inference(evaluation,[],[f384])). 2.80/0.74 tff(f384,plain,( 2.80/0.74 0 != $sum(1,-1) | empty = remove(sK2,remove(5,sK0)) | 5 = sK2 | (~spl3_4 | ~spl3_27)), 2.80/0.74 inference(superposition,[],[f337,f270])). 2.80/0.74 tff(f337,plain,( 2.80/0.74 ( ! [X2:$int] : (0 != $sum(count(remove(X2,sK0)),-1) | empty = remove(sK2,remove(X2,sK0)) | sK2 = X2) ) | ~spl3_4), 2.80/0.74 inference(superposition,[],[f51,f212])). 2.80/0.74 tff(f212,plain,( 2.80/0.74 ( ! [X4:$int] : (count(remove(sK2,remove(X4,sK0))) = $sum(count(remove(X4,sK0)),-1) | sK2 = X4) ) | ~spl3_4), 2.80/0.74 inference(resolution,[],[f99,f74])). 2.80/0.74 tff(f393,plain,( 2.80/0.74 spl3_28 | spl3_29 | ~spl3_4 | ~spl3_26), 2.80/0.74 inference(avatar_split_clause,[],[f386,f250,f88,f391,f388])). 2.80/0.74 tff(f386,plain,( 2.80/0.74 empty = remove(sK2,remove(sK1,sK0)) | sK1 = sK2 | (~spl3_4 | ~spl3_26)), 2.80/0.74 inference(evaluation,[],[f383])). 2.80/0.74 tff(f383,plain,( 2.80/0.74 0 != $sum(1,-1) | empty = remove(sK2,remove(sK1,sK0)) | sK1 = sK2 | (~spl3_4 | ~spl3_26)), 2.80/0.74 inference(superposition,[],[f337,f251])). 2.80/0.74 tff(f271,plain,( 2.80/0.74 spl3_27 | ~spl3_5 | ~spl3_14), 2.80/0.74 inference(avatar_split_clause,[],[f267,f140,f92,f269])). 2.80/0.74 tff(f92,plain,( 2.80/0.74 spl3_5 <=> 2 = count(sK0)), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_5])])). 2.80/0.74 tff(f140,plain,( 2.80/0.74 spl3_14 <=> $sum(count(sK0),-1) = count(remove(5,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_14])])). 2.80/0.74 tff(f267,plain,( 2.80/0.74 1 = count(remove(5,sK0)) | (~spl3_5 | ~spl3_14)), 2.80/0.74 inference(evaluation,[],[f266])). 2.80/0.74 tff(f266,plain,( 2.80/0.74 count(remove(5,sK0)) = $sum(2,-1) | (~spl3_5 | ~spl3_14)), 2.80/0.74 inference(forward_demodulation,[],[f141,f93])). 2.80/0.74 tff(f93,plain,( 2.80/0.74 2 = count(sK0) | ~spl3_5), 2.80/0.74 inference(avatar_component_clause,[],[f92])). 2.80/0.74 tff(f141,plain,( 2.80/0.74 $sum(count(sK0),-1) = count(remove(5,sK0)) | ~spl3_14), 2.80/0.74 inference(avatar_component_clause,[],[f140])). 2.80/0.74 tff(f252,plain,( 2.80/0.74 spl3_26 | ~spl3_5 | ~spl3_11), 2.80/0.74 inference(avatar_split_clause,[],[f248,f124,f92,f250])). 2.80/0.74 tff(f124,plain,( 2.80/0.74 spl3_11 <=> $sum(count(sK0),-1) = count(remove(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_11])])). 2.80/0.74 tff(f248,plain,( 2.80/0.74 1 = count(remove(sK1,sK0)) | (~spl3_5 | ~spl3_11)), 2.80/0.74 inference(evaluation,[],[f247])). 2.80/0.74 tff(f247,plain,( 2.80/0.74 count(remove(sK1,sK0)) = $sum(2,-1) | (~spl3_5 | ~spl3_11)), 2.80/0.74 inference(forward_demodulation,[],[f125,f93])). 2.80/0.74 tff(f125,plain,( 2.80/0.74 $sum(count(sK0),-1) = count(remove(sK1,sK0)) | ~spl3_11), 2.80/0.74 inference(avatar_component_clause,[],[f124])). 2.80/0.74 tff(f240,plain,( 2.80/0.74 spl3_25 | ~spl3_5 | ~spl3_8), 2.80/0.74 inference(avatar_split_clause,[],[f236,f108,f92,f238])). 2.80/0.74 tff(f108,plain,( 2.80/0.74 spl3_8 <=> count(remove(sK2,sK0)) = $sum(count(sK0),-1)), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_8])])). 2.80/0.74 tff(f236,plain,( 2.80/0.74 1 = count(remove(sK2,sK0)) | (~spl3_5 | ~spl3_8)), 2.80/0.74 inference(evaluation,[],[f235])). 2.80/0.74 tff(f235,plain,( 2.80/0.74 count(remove(sK2,sK0)) = $sum(2,-1) | (~spl3_5 | ~spl3_8)), 2.80/0.74 inference(forward_demodulation,[],[f109,f93])). 2.80/0.74 tff(f109,plain,( 2.80/0.74 count(remove(sK2,sK0)) = $sum(count(sK0),-1) | ~spl3_8), 2.80/0.74 inference(avatar_component_clause,[],[f108])). 2.80/0.74 tff(f234,plain,( 2.80/0.74 spl3_23 | ~spl3_24 | ~spl3_5 | ~spl3_15), 2.80/0.74 inference(avatar_split_clause,[],[f227,f144,f92,f232,f229])). 2.80/0.74 tff(f229,plain,( 2.80/0.74 spl3_23 <=> in(5,remove(5,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_23])])). 2.80/0.74 tff(f232,plain,( 2.80/0.74 spl3_24 <=> 2 = count(remove(5,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_24])])). 2.80/0.74 tff(f144,plain,( 2.80/0.74 spl3_15 <=> sK0 = add(5,remove(5,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_15])])). 2.80/0.74 tff(f227,plain,( 2.80/0.74 2 != count(remove(5,sK0)) | in(5,remove(5,sK0)) | (~spl3_5 | ~spl3_15)), 2.80/0.74 inference(forward_demodulation,[],[f224,f93])). 2.80/0.74 tff(f224,plain,( 2.80/0.74 count(sK0) != count(remove(5,sK0)) | in(5,remove(5,sK0)) | ~spl3_15), 2.80/0.74 inference(superposition,[],[f62,f145])). 2.80/0.74 tff(f145,plain,( 2.80/0.74 sK0 = add(5,remove(5,sK0)) | ~spl3_15), 2.80/0.74 inference(avatar_component_clause,[],[f144])). 2.80/0.74 tff(f62,plain,( 2.80/0.74 ( ! [X0:$int,X1:collection] : (count(X1) != count(add(X0,X1)) | in(X0,X1)) )), 2.80/0.74 inference(cnf_transformation,[],[f38])). 2.80/0.74 tff(f201,plain,( 2.80/0.74 spl3_22 | ~spl3_5 | ~spl3_13), 2.80/0.74 inference(avatar_split_clause,[],[f197,f136,f92,f199])). 2.80/0.74 tff(f199,plain,( 2.80/0.74 spl3_22 <=> 2 = count(add(5,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_22])])). 2.80/0.74 tff(f136,plain,( 2.80/0.74 spl3_13 <=> count(sK0) = count(add(5,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_13])])). 2.80/0.74 tff(f197,plain,( 2.80/0.74 2 = count(add(5,sK0)) | (~spl3_5 | ~spl3_13)), 2.80/0.74 inference(forward_demodulation,[],[f137,f93])). 2.80/0.74 tff(f137,plain,( 2.80/0.74 count(sK0) = count(add(5,sK0)) | ~spl3_13), 2.80/0.74 inference(avatar_component_clause,[],[f136])). 2.80/0.74 tff(f196,plain,( 2.80/0.74 spl3_20 | ~spl3_21 | ~spl3_5 | ~spl3_12), 2.80/0.74 inference(avatar_split_clause,[],[f189,f128,f92,f194,f191])). 2.80/0.74 tff(f191,plain,( 2.80/0.74 spl3_20 <=> in(sK1,remove(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_20])])). 2.80/0.74 tff(f194,plain,( 2.80/0.74 spl3_21 <=> 2 = count(remove(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_21])])). 2.80/0.74 tff(f128,plain,( 2.80/0.74 spl3_12 <=> sK0 = add(sK1,remove(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_12])])). 2.80/0.74 tff(f189,plain,( 2.80/0.74 2 != count(remove(sK1,sK0)) | in(sK1,remove(sK1,sK0)) | (~spl3_5 | ~spl3_12)), 2.80/0.74 inference(forward_demodulation,[],[f186,f93])). 2.80/0.74 tff(f186,plain,( 2.80/0.74 count(sK0) != count(remove(sK1,sK0)) | in(sK1,remove(sK1,sK0)) | ~spl3_12), 2.80/0.74 inference(superposition,[],[f62,f129])). 2.80/0.74 tff(f129,plain,( 2.80/0.74 sK0 = add(sK1,remove(sK1,sK0)) | ~spl3_12), 2.80/0.74 inference(avatar_component_clause,[],[f128])). 2.80/0.74 tff(f177,plain,( 2.80/0.74 spl3_19 | ~spl3_5 | ~spl3_10), 2.80/0.74 inference(avatar_split_clause,[],[f173,f120,f92,f175])). 2.80/0.74 tff(f175,plain,( 2.80/0.74 spl3_19 <=> 2 = count(add(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_19])])). 2.80/0.74 tff(f120,plain,( 2.80/0.74 spl3_10 <=> count(sK0) = count(add(sK1,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_10])])). 2.80/0.74 tff(f173,plain,( 2.80/0.74 2 = count(add(sK1,sK0)) | (~spl3_5 | ~spl3_10)), 2.80/0.74 inference(forward_demodulation,[],[f121,f93])). 2.80/0.74 tff(f121,plain,( 2.80/0.74 count(sK0) = count(add(sK1,sK0)) | ~spl3_10), 2.80/0.74 inference(avatar_component_clause,[],[f120])). 2.80/0.74 tff(f172,plain,( 2.80/0.74 spl3_17 | ~spl3_18 | ~spl3_5 | ~spl3_9), 2.80/0.74 inference(avatar_split_clause,[],[f165,f112,f92,f170,f167])). 2.80/0.74 tff(f167,plain,( 2.80/0.74 spl3_17 <=> in(sK2,remove(sK2,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_17])])). 2.80/0.74 tff(f170,plain,( 2.80/0.74 spl3_18 <=> 2 = count(remove(sK2,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_18])])). 2.80/0.74 tff(f112,plain,( 2.80/0.74 spl3_9 <=> sK0 = add(sK2,remove(sK2,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_9])])). 2.80/0.74 tff(f165,plain,( 2.80/0.74 2 != count(remove(sK2,sK0)) | in(sK2,remove(sK2,sK0)) | (~spl3_5 | ~spl3_9)), 2.80/0.74 inference(forward_demodulation,[],[f162,f93])). 2.80/0.74 tff(f162,plain,( 2.80/0.74 count(sK0) != count(remove(sK2,sK0)) | in(sK2,remove(sK2,sK0)) | ~spl3_9), 2.80/0.74 inference(superposition,[],[f62,f113])). 2.80/0.74 tff(f113,plain,( 2.80/0.74 sK0 = add(sK2,remove(sK2,sK0)) | ~spl3_9), 2.80/0.74 inference(avatar_component_clause,[],[f112])). 2.80/0.74 tff(f153,plain,( 2.80/0.74 spl3_16 | ~spl3_5 | ~spl3_7), 2.80/0.74 inference(avatar_split_clause,[],[f149,f104,f92,f151])). 2.80/0.74 tff(f151,plain,( 2.80/0.74 spl3_16 <=> 2 = count(add(sK2,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_16])])). 2.80/0.74 tff(f104,plain,( 2.80/0.74 spl3_7 <=> count(sK0) = count(add(sK2,sK0))), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_7])])). 2.80/0.74 tff(f149,plain,( 2.80/0.74 2 = count(add(sK2,sK0)) | (~spl3_5 | ~spl3_7)), 2.80/0.74 inference(forward_demodulation,[],[f105,f93])). 2.80/0.74 tff(f105,plain,( 2.80/0.74 count(sK0) = count(add(sK2,sK0)) | ~spl3_7), 2.80/0.74 inference(avatar_component_clause,[],[f104])). 2.80/0.74 tff(f146,plain,( 2.80/0.74 spl3_15 | ~spl3_1), 2.80/0.74 inference(avatar_split_clause,[],[f134,f76,f144])). 2.80/0.74 tff(f134,plain,( 2.80/0.74 sK0 = add(5,remove(5,sK0)) | ~spl3_1), 2.80/0.74 inference(resolution,[],[f77,f55])). 2.80/0.74 tff(f142,plain,( 2.80/0.74 spl3_14 | ~spl3_1), 2.80/0.74 inference(avatar_split_clause,[],[f133,f76,f140])). 2.80/0.74 tff(f133,plain,( 2.80/0.74 $sum(count(sK0),-1) = count(remove(5,sK0)) | ~spl3_1), 2.80/0.74 inference(resolution,[],[f77,f74])). 2.80/0.74 tff(f138,plain,( 2.80/0.74 spl3_13 | ~spl3_1), 2.80/0.74 inference(avatar_split_clause,[],[f132,f76,f136])). 2.80/0.74 tff(f132,plain,( 2.80/0.74 count(sK0) = count(add(5,sK0)) | ~spl3_1), 2.80/0.74 inference(resolution,[],[f77,f63])). 2.80/0.74 tff(f130,plain,( 2.80/0.74 spl3_12 | ~spl3_6), 2.80/0.74 inference(avatar_split_clause,[],[f118,f96,f128])). 2.80/0.74 tff(f118,plain,( 2.80/0.74 sK0 = add(sK1,remove(sK1,sK0)) | ~spl3_6), 2.80/0.74 inference(resolution,[],[f97,f55])). 2.80/0.74 tff(f126,plain,( 2.80/0.74 spl3_11 | ~spl3_6), 2.80/0.74 inference(avatar_split_clause,[],[f117,f96,f124])). 2.80/0.74 tff(f117,plain,( 2.80/0.74 $sum(count(sK0),-1) = count(remove(sK1,sK0)) | ~spl3_6), 2.80/0.74 inference(resolution,[],[f97,f74])). 2.80/0.74 tff(f122,plain,( 2.80/0.74 spl3_10 | ~spl3_6), 2.80/0.74 inference(avatar_split_clause,[],[f116,f96,f120])). 2.80/0.74 tff(f116,plain,( 2.80/0.74 count(sK0) = count(add(sK1,sK0)) | ~spl3_6), 2.80/0.74 inference(resolution,[],[f97,f63])). 2.80/0.74 tff(f114,plain,( 2.80/0.74 spl3_9 | ~spl3_4), 2.80/0.74 inference(avatar_split_clause,[],[f102,f88,f112])). 2.80/0.74 tff(f102,plain,( 2.80/0.74 sK0 = add(sK2,remove(sK2,sK0)) | ~spl3_4), 2.80/0.74 inference(resolution,[],[f89,f55])). 2.80/0.74 tff(f110,plain,( 2.80/0.74 spl3_8 | ~spl3_4), 2.80/0.74 inference(avatar_split_clause,[],[f101,f88,f108])). 2.80/0.74 tff(f101,plain,( 2.80/0.74 count(remove(sK2,sK0)) = $sum(count(sK0),-1) | ~spl3_4), 2.80/0.74 inference(resolution,[],[f89,f74])). 2.80/0.74 tff(f106,plain,( 2.80/0.74 spl3_7 | ~spl3_4), 2.80/0.74 inference(avatar_split_clause,[],[f100,f88,f104])). 2.80/0.74 tff(f100,plain,( 2.80/0.74 count(sK0) = count(add(sK2,sK0)) | ~spl3_4), 2.80/0.74 inference(resolution,[],[f89,f63])). 2.80/0.74 tff(f98,plain,( 2.80/0.74 spl3_6), 2.80/0.74 inference(avatar_split_clause,[],[f43,f96])). 2.80/0.74 tff(f43,plain,( 2.80/0.74 in(sK1,sK0)), 2.80/0.74 inference(cnf_transformation,[],[f33])). 2.80/0.74 tff(f33,plain,( 2.80/0.74 in(5,sK0) & $less(sK1,3) & $less(6,sK2) & in(sK2,sK0) & 2 = count(sK0) & in(sK1,sK0)), 2.80/0.74 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f30,f32])). 2.80/0.74 tff(f32,plain,( 2.80/0.74 ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & $less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0)) => (in(5,sK0) & $less(sK1,3) & $less(6,sK2) & in(sK2,sK0) & 2 = count(sK0) & in(sK1,sK0))), 2.80/0.74 introduced(choice_axiom,[])). 2.80/0.74 tff(f30,plain,( 2.80/0.74 ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & $less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0))), 2.80/0.74 inference(flattening,[],[f29])). 2.80/0.74 tff(f29,plain,( 2.80/0.74 ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & ($less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0)))), 2.80/0.74 inference(ennf_transformation,[],[f17])). 2.80/0.74 tff(f17,plain,( 2.80/0.74 ~! [X0 : collection,X1 : $int,X2 : $int] : (($less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0)) => ~in(5,X0))), 2.80/0.74 inference(rectify,[],[f14])). 2.80/0.74 tff(f14,negated_conjecture,( 2.80/0.74 ~! [X7 : collection,X2 : $int,X3 : $int] : (($less(X2,3) & $less(6,X3) & in(X3,X7) & count(X7) = 2 & in(X2,X7)) => ~in(5,X7))), 2.80/0.74 inference(negated_conjecture,[],[f13])). 2.80/0.74 tff(f13,conjecture,( 2.80/0.74 ! [X7 : collection,X2 : $int,X3 : $int] : (($less(X2,3) & $less(6,X3) & in(X3,X7) & count(X7) = 2 & in(X2,X7)) => ~in(5,X7))), 2.80/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)). 2.80/0.74 tff(f94,plain,( 2.80/0.74 spl3_5), 2.80/0.74 inference(avatar_split_clause,[],[f44,f92])). 2.80/0.74 tff(f44,plain,( 2.80/0.74 2 = count(sK0)), 2.80/0.74 inference(cnf_transformation,[],[f33])). 2.80/0.74 tff(f90,plain,( 2.80/0.74 spl3_4), 2.80/0.74 inference(avatar_split_clause,[],[f45,f88])). 2.80/0.74 tff(f45,plain,( 2.80/0.74 in(sK2,sK0)), 2.80/0.74 inference(cnf_transformation,[],[f33])). 2.80/0.74 tff(f86,plain,( 2.80/0.74 spl3_3), 2.80/0.74 inference(avatar_split_clause,[],[f46,f84])). 2.80/0.74 tff(f84,plain,( 2.80/0.74 spl3_3 <=> $less(6,sK2)), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])). 2.80/0.74 tff(f46,plain,( 2.80/0.74 $less(6,sK2)), 2.80/0.74 inference(cnf_transformation,[],[f33])). 2.80/0.74 tff(f82,plain,( 2.80/0.74 spl3_2), 2.80/0.74 inference(avatar_split_clause,[],[f47,f80])). 2.80/0.74 tff(f80,plain,( 2.80/0.74 spl3_2 <=> $less(sK1,3)), 2.80/0.74 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])). 2.80/0.74 tff(f47,plain,( 2.80/0.74 $less(sK1,3)), 2.80/0.74 inference(cnf_transformation,[],[f33])). 2.80/0.74 tff(f78,plain,( 2.80/0.74 spl3_1), 2.80/0.74 inference(avatar_split_clause,[],[f48,f76])). 2.80/0.74 tff(f48,plain,( 2.80/0.74 in(5,sK0)), 2.80/0.74 inference(cnf_transformation,[],[f33])). 2.80/0.74 % SZS output end Proof for theBenchmark 2.80/0.74 % (19308)------------------------------ 2.80/0.74 % (19308)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.80/0.74 % (19308)Termination reason: Refutation 2.80/0.74 2.80/0.74 % (19308)Memory used [KB]: 1663 2.80/0.74 % (19308)Time elapsed: 0.328 s 2.80/0.74 % (19308)------------------------------ 2.80/0.74 % (19308)------------------------------ 2.80/0.74 % (19303)Success in time 0.374 s 2.80/0.74 EOF