0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.11	% Command    : run_vampire %s %d
0.10/0.31	% Computer   : n012.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 960
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Thu Jul  2 07:19:37 EDT 2020
0.10/0.31	% CPUTime    : 
0.16/0.45	% (5346)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
0.16/0.45	% (5350)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
0.16/0.45	% (5364)WARNING: option uwaf not known.
0.16/0.46	% (5371)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
0.16/0.46	% (5354)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
0.16/0.46	% (5363)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
0.16/0.46	% (5348)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
0.16/0.46	% (5362)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
0.16/0.46	% (5353)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
0.16/0.46	% (5360)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
0.16/0.47	% (5355)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
0.16/0.47	% (5374)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
0.16/0.47	% (5361)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
0.16/0.47	% (5356)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
0.16/0.48	% (5364)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
0.16/0.48	% (5366)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
0.16/0.48	% (5352)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
0.16/0.48	% (5358)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
0.16/0.48	% (5349)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
0.16/0.48	% (5370)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
0.16/0.48	% (5368)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
0.16/0.49	% (5372)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
0.16/0.50	% (5347)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
0.16/0.50	% (5365)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
0.16/0.51	% (5373)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
0.16/0.51	% (5369)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
0.16/0.51	% (5351)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
0.16/0.52	% (5357)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
0.16/0.52	% (5357)Refutation not found, incomplete strategy% (5357)------------------------------
0.16/0.52	% (5357)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
0.16/0.52	% (5367)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
0.16/0.53	% (5365)Refutation not found, incomplete strategy% (5365)------------------------------
0.16/0.53	% (5365)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
0.16/0.53	% (5365)Termination reason: Refutation not found, incomplete strategy
0.16/0.53	
0.16/0.53	% (5365)Memory used [KB]: 6012
0.16/0.53	% (5365)Time elapsed: 0.139 s
0.16/0.53	% (5365)------------------------------
0.16/0.53	% (5365)------------------------------
0.16/0.53	% (5357)Termination reason: Refutation not found, incomplete strategy
0.16/0.53	
0.16/0.53	% (5357)Memory used [KB]: 6012
0.16/0.53	% (5357)Time elapsed: 0.151 s
0.16/0.53	% (5357)------------------------------
0.16/0.53	% (5357)------------------------------
0.16/0.53	% (5375)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
0.16/0.53	% (5359)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
0.16/0.54	% (5375)Refutation not found, incomplete strategy% (5375)------------------------------
0.16/0.54	% (5375)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
0.16/0.54	% (5375)Termination reason: Refutation not found, incomplete strategy
0.16/0.54	
0.16/0.54	% (5375)Memory used [KB]: 10490
0.16/0.54	% (5375)Time elapsed: 0.162 s
0.16/0.55	% (5375)------------------------------
0.16/0.55	% (5375)------------------------------
2.41/0.65	% (5363)Refutation not found, incomplete strategy% (5363)------------------------------
2.41/0.65	% (5363)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
2.41/0.65	% (5363)Termination reason: Refutation not found, incomplete strategy
2.41/0.65	
2.41/0.65	% (5363)Memory used [KB]: 6012
2.41/0.65	% (5363)Time elapsed: 0.255 s
2.41/0.65	% (5363)------------------------------
2.41/0.65	% (5363)------------------------------
2.41/0.69	% (5381)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
2.41/0.70	% (5369)Refutation not found, incomplete strategy% (5369)------------------------------
2.41/0.70	% (5369)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
2.41/0.70	% (5369)Termination reason: Refutation not found, incomplete strategy
2.41/0.70	
2.41/0.70	% (5369)Memory used [KB]: 6012
2.41/0.70	% (5369)Time elapsed: 0.324 s
2.41/0.70	% (5369)------------------------------
2.41/0.70	% (5369)------------------------------
2.41/0.73	% (5382)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
3.11/0.75	% (5383)WARNING: option uwaf not known.
3.11/0.75	% (5374)Refutation found. Thanks to Tanya!
3.11/0.75	% SZS status Theorem for theBenchmark
3.11/0.75	% SZS output start Proof for theBenchmark
3.11/0.75	tff(type_def_5, type, collection: $tType).
3.11/0.75	tff(func_def_0, type, empty: collection).
3.11/0.75	tff(func_def_1, type, add: ($int * collection) > collection).
3.11/0.75	tff(func_def_2, type, remove: ($int * collection) > collection).
3.11/0.75	tff(func_def_3, type, count: collection > $int).
3.11/0.75	tff(func_def_13, type, sK0: collection).
3.11/0.75	tff(func_def_14, type, sK1: $int).
3.11/0.75	tff(func_def_15, type, sK2: $int).
3.11/0.75	tff(pred_def_1, type, in: ($int * collection) > $o).
3.11/0.75	tff(f1727,plain,(
3.11/0.75	  $false),
3.11/0.75	  inference(avatar_sat_refutation,[],[f78,f82,f86,f90,f94,f98,f109,f114,f120,f125,f131,f143,f148,f154,f159,f165,f177,f182,f188,f193,f199,f1395,f1400,f1535,f1539,f1554,f1561,f1576,f1580,f1617,f1621,f1625,f1629,f1633,f1638,f1647,f1720])).
3.11/0.75	tff(f1720,plain,(
3.11/0.75	  ~spl3_33),
3.11/0.75	  inference(avatar_contradiction_clause,[],[f1711])).
3.11/0.75	tff(f1711,plain,(
3.11/0.75	  $false | ~spl3_33),
3.11/0.75	  inference(resolution,[],[f1620,f49])).
3.11/0.75	tff(f49,plain,(
3.11/0.75	  ( ! [X0:$int] : (~in(X0,empty)) )),
3.11/0.75	  inference(cnf_transformation,[],[f18])).
3.11/0.75	tff(f18,plain,(
3.11/0.75	  ! [X0 : $int] : ~in(X0,empty)),
3.11/0.75	  inference(rectify,[],[f3])).
3.11/0.75	tff(f3,axiom,(
3.11/0.75	  ! [X5 : $int] : ~in(X5,empty)),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
3.11/0.75	tff(f1620,plain,(
3.11/0.75	  in(sK2,empty) | ~spl3_33),
3.11/0.75	  inference(avatar_component_clause,[],[f1619])).
3.11/0.75	tff(f1619,plain,(
3.11/0.75	  spl3_33 <=> in(sK2,empty)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_33])])).
3.11/0.75	tff(f1647,plain,(
3.11/0.75	  spl3_36 | ~spl3_16 | ~spl3_25),
3.11/0.75	  inference(avatar_split_clause,[],[f1646,f1533,f163,f1631])).
3.11/0.75	tff(f1631,plain,(
3.11/0.75	  spl3_36 <=> in(5,remove(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_36])])).
3.11/0.75	tff(f163,plain,(
3.11/0.75	  spl3_16 <=> 1 = count(remove(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_16])])).
3.11/0.75	tff(f1533,plain,(
3.11/0.75	  spl3_25 <=> empty = remove(5,remove(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_25])])).
3.11/0.75	tff(f1646,plain,(
3.11/0.75	  in(5,remove(sK1,sK0)) | (~spl3_16 | ~spl3_25)),
3.11/0.75	  inference(trivial_inequality_removal,[],[f1645])).
3.11/0.75	tff(f1645,plain,(
3.11/0.75	  0 != 0 | in(5,remove(sK1,sK0)) | (~spl3_16 | ~spl3_25)),
3.11/0.75	  inference(forward_demodulation,[],[f1644,f70])).
3.11/0.75	tff(f70,plain,(
3.11/0.75	  0 = count(empty)),
3.11/0.75	  inference(equality_resolution,[],[f51])).
3.11/0.75	tff(f51,plain,(
3.11/0.75	  ( ! [X0:collection] : (0 = count(X0) | empty != X0) )),
3.11/0.75	  inference(cnf_transformation,[],[f34])).
3.11/0.75	tff(f34,plain,(
3.11/0.75	  ! [X0 : collection] : ((empty = X0 | 0 != count(X0)) & (0 = count(X0) | empty != X0))),
3.11/0.75	  inference(nnf_transformation,[],[f20])).
3.11/0.75	tff(f20,plain,(
3.11/0.75	  ! [X0 : collection] : (empty = X0 <=> 0 = count(X0))),
3.11/0.75	  inference(rectify,[],[f9])).
3.11/0.75	tff(f9,axiom,(
3.11/0.75	  ! [X16 : collection] : (empty = X16 <=> 0 = count(X16))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
3.11/0.75	tff(f1644,plain,(
3.11/0.75	  0 != count(empty) | in(5,remove(sK1,sK0)) | (~spl3_16 | ~spl3_25)),
3.11/0.75	  inference(evaluation,[],[f1643])).
3.11/0.75	tff(f1643,plain,(
3.11/0.75	  count(empty) != $sum(1,-1) | in(5,remove(sK1,sK0)) | (~spl3_16 | ~spl3_25)),
3.11/0.75	  inference(forward_demodulation,[],[f1609,f164])).
3.11/0.75	tff(f164,plain,(
3.11/0.75	  1 = count(remove(sK1,sK0)) | ~spl3_16),
3.11/0.75	  inference(avatar_component_clause,[],[f163])).
3.11/0.75	tff(f1609,plain,(
3.11/0.75	  count(empty) != $sum(count(remove(sK1,sK0)),-1) | in(5,remove(sK1,sK0)) | ~spl3_25),
3.11/0.75	  inference(superposition,[],[f74,f1534])).
3.11/0.75	tff(f1534,plain,(
3.11/0.75	  empty = remove(5,remove(sK1,sK0)) | ~spl3_25),
3.11/0.75	  inference(avatar_component_clause,[],[f1533])).
3.11/0.75	tff(f74,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),-1)) )),
3.11/0.75	  inference(evaluation,[],[f62])).
3.11/0.75	tff(f62,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) )),
3.11/0.75	  inference(cnf_transformation,[],[f38])).
3.11/0.75	tff(f38,plain,(
3.11/0.75	  ! [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))))),
3.11/0.75	  inference(nnf_transformation,[],[f26])).
3.11/0.75	tff(f26,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) <=> in(X0,X1))),
3.11/0.75	  inference(rectify,[],[f16])).
3.11/0.75	tff(f16,plain,(
3.11/0.75	  ! [X17 : $int,X18 : collection] : (count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) <=> in(X17,X18))),
3.11/0.75	  inference(theory_normalization,[],[f10])).
3.11/0.75	tff(f10,axiom,(
3.11/0.75	  ! [X17 : $int,X18 : collection] : ($difference(count(X18),1) = count(remove(X17,X18)) <=> in(X17,X18))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)).
3.11/0.75	tff(f1638,plain,(
3.11/0.75	  spl3_36 | ~spl3_16 | ~spl3_25),
3.11/0.75	  inference(avatar_split_clause,[],[f1636,f1533,f163,f1631])).
3.11/0.75	tff(f1636,plain,(
3.11/0.75	  in(5,remove(sK1,sK0)) | (~spl3_16 | ~spl3_25)),
3.11/0.75	  inference(evaluation,[],[f1635])).
3.11/0.75	tff(f1635,plain,(
3.11/0.75	  0 = 1 | in(5,remove(sK1,sK0)) | (~spl3_16 | ~spl3_25)),
3.11/0.75	  inference(forward_demodulation,[],[f1634,f70])).
3.11/0.75	tff(f1634,plain,(
3.11/0.75	  1 = count(empty) | in(5,remove(sK1,sK0)) | (~spl3_16 | ~spl3_25)),
3.11/0.75	  inference(forward_demodulation,[],[f1603,f164])).
3.11/0.75	tff(f1603,plain,(
3.11/0.75	  count(empty) = count(remove(sK1,sK0)) | in(5,remove(sK1,sK0)) | ~spl3_25),
3.11/0.75	  inference(superposition,[],[f56,f1534])).
3.11/0.75	tff(f56,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (count(X1) = count(remove(X0,X1)) | in(X0,X1)) )),
3.11/0.75	  inference(cnf_transformation,[],[f35])).
3.11/0.75	tff(f35,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(X1) != count(remove(X0,X1))) & (count(X1) = count(remove(X0,X1)) | in(X0,X1)))),
3.11/0.75	  inference(nnf_transformation,[],[f23])).
3.11/0.75	tff(f23,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(X1) = count(remove(X0,X1)))),
3.11/0.75	  inference(rectify,[],[f7])).
3.11/0.75	tff(f7,axiom,(
3.11/0.75	  ! [X13 : $int,X14 : collection] : (~in(X13,X14) <=> count(X14) = count(remove(X13,X14)))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6)).
3.11/0.75	tff(f1633,plain,(
3.11/0.75	  ~spl3_36 | spl3_32 | ~spl3_25),
3.11/0.75	  inference(avatar_split_clause,[],[f1602,f1533,f1615,f1631])).
3.11/0.75	tff(f1615,plain,(
3.11/0.75	  spl3_32 <=> remove(sK1,sK0) = add(5,empty)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_32])])).
3.11/0.75	tff(f1602,plain,(
3.11/0.75	  remove(sK1,sK0) = add(5,empty) | ~in(5,remove(sK1,sK0)) | ~spl3_25),
3.11/0.75	  inference(superposition,[],[f55,f1534])).
3.11/0.75	tff(f55,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1)) )),
3.11/0.75	  inference(cnf_transformation,[],[f31])).
3.11/0.75	tff(f31,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1))),
3.11/0.75	  inference(ennf_transformation,[],[f22])).
3.11/0.75	tff(f22,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : (in(X0,X1) => add(X0,remove(X0,X1)) = X1)),
3.11/0.75	  inference(rectify,[],[f12])).
3.11/0.75	tff(f12,axiom,(
3.11/0.75	  ! [X21 : $int,X22 : collection] : (in(X21,X22) => add(X21,remove(X21,X22)) = X22)),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7)).
3.11/0.75	tff(f1629,plain,(
3.11/0.75	  spl3_28 | spl3_24 | spl3_35 | ~spl3_5 | ~spl3_25),
3.11/0.75	  inference(avatar_split_clause,[],[f1600,f1533,f92,f1627,f1398,f1556])).
3.11/0.75	tff(f1556,plain,(
3.11/0.75	  spl3_28 <=> sK1 = sK2),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_28])])).
3.11/0.75	tff(f1398,plain,(
3.11/0.75	  spl3_24 <=> 5 = sK2),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_24])])).
3.11/0.75	tff(f1627,plain,(
3.11/0.75	  spl3_35 <=> ! [X5 : $int] : in(sK2,add(X5,empty))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_35])])).
3.11/0.75	tff(f92,plain,(
3.11/0.75	  spl3_5 <=> in(sK2,sK0)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_5])])).
3.11/0.75	tff(f1600,plain,(
3.11/0.75	  ( ! [X5:$int] : (in(sK2,add(X5,empty)) | 5 = sK2 | sK1 = sK2) ) | (~spl3_5 | ~spl3_25)),
3.11/0.75	  inference(superposition,[],[f604,f1534])).
3.11/0.75	tff(f604,plain,(
3.11/0.75	  ( ! [X17:$int,X15:$int,X16:$int] : (in(sK2,add(X17,remove(X16,remove(X15,sK0)))) | sK2 = X16 | sK2 = X15) ) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f362,f68])).
3.11/0.75	tff(f68,plain,(
3.11/0.75	  ( ! [X2:$int,X0:$int,X1:collection] : (in(X0,add(X2,X1)) | ~in(X0,X1)) )),
3.11/0.75	  inference(cnf_transformation,[],[f42])).
3.11/0.75	tff(f42,plain,(
3.11/0.75	  ! [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)))),
3.11/0.75	  inference(flattening,[],[f41])).
3.11/0.75	tff(f41,plain,(
3.11/0.75	  ! [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)))),
3.11/0.75	  inference(nnf_transformation,[],[f28])).
3.11/0.75	tff(f28,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2) <=> in(X0,add(X2,X1)))),
3.11/0.75	  inference(rectify,[],[f5])).
3.11/0.75	tff(f5,axiom,(
3.11/0.75	  ! [X8 : $int,X9 : collection,X10 : $int] : ((in(X8,X9) | X8 = X10) <=> in(X8,add(X10,X9)))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)).
3.11/0.75	tff(f362,plain,(
3.11/0.75	  ( ! [X6:$int,X5:$int] : (in(sK2,remove(X6,remove(X5,sK0))) | sK2 = X5 | sK2 = X6) ) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f171,f64])).
3.11/0.75	tff(f64,plain,(
3.11/0.75	  ( ! [X2:$int,X0:$int,X1:collection] : (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)) )),
3.11/0.75	  inference(cnf_transformation,[],[f40])).
3.11/0.75	tff(f40,plain,(
3.11/0.75	  ! [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)))),
3.11/0.75	  inference(flattening,[],[f39])).
3.11/0.75	tff(f39,plain,(
3.11/0.75	  ! [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))))),
3.11/0.75	  inference(nnf_transformation,[],[f27])).
3.11/0.75	tff(f27,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))),
3.11/0.75	  inference(rectify,[],[f2])).
3.11/0.75	tff(f2,axiom,(
3.11/0.75	  ! [X2 : $int,X3 : collection,X4 : $int] : ((X2 != X4 & in(X2,X3)) <=> in(X2,remove(X4,X3)))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)).
3.11/0.75	tff(f171,plain,(
3.11/0.75	  ( ! [X0:$int] : (in(sK2,remove(X0,sK0)) | sK2 = X0) ) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f93,f64])).
3.11/0.75	tff(f93,plain,(
3.11/0.75	  in(sK2,sK0) | ~spl3_5),
3.11/0.75	  inference(avatar_component_clause,[],[f92])).
3.11/0.75	tff(f1625,plain,(
3.11/0.75	  spl3_28 | spl3_24 | spl3_34 | ~spl3_5 | ~spl3_25),
3.11/0.75	  inference(avatar_split_clause,[],[f1599,f1533,f92,f1623,f1398,f1556])).
3.11/0.75	tff(f1623,plain,(
3.11/0.75	  spl3_34 <=> ! [X4 : $int] : (in(sK2,remove(X4,empty)) | sK2 = X4)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_34])])).
3.11/0.75	tff(f1599,plain,(
3.11/0.75	  ( ! [X4:$int] : (in(sK2,remove(X4,empty)) | 5 = sK2 | sK1 = sK2 | sK2 = X4) ) | (~spl3_5 | ~spl3_25)),
3.11/0.75	  inference(superposition,[],[f603,f1534])).
3.11/0.75	tff(f603,plain,(
3.11/0.75	  ( ! [X14:$int,X12:$int,X13:$int] : (in(sK2,remove(X14,remove(X13,remove(X12,sK0)))) | sK2 = X13 | sK2 = X12 | sK2 = X14) ) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f362,f64])).
3.11/0.75	tff(f1621,plain,(
3.11/0.75	  spl3_24 | spl3_28 | spl3_33 | ~spl3_5 | ~spl3_25),
3.11/0.75	  inference(avatar_split_clause,[],[f1594,f1533,f92,f1619,f1556,f1398])).
3.11/0.75	tff(f1594,plain,(
3.11/0.75	  in(sK2,empty) | sK1 = sK2 | 5 = sK2 | (~spl3_5 | ~spl3_25)),
3.11/0.75	  inference(superposition,[],[f362,f1534])).
3.11/0.75	tff(f1617,plain,(
3.11/0.75	  spl3_22 | spl3_32 | ~spl3_1 | ~spl3_25),
3.11/0.75	  inference(avatar_split_clause,[],[f1591,f1533,f76,f1615,f1390])).
3.11/0.75	tff(f1390,plain,(
3.11/0.75	  spl3_22 <=> 5 = sK1),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_22])])).
3.11/0.75	tff(f76,plain,(
3.11/0.75	  spl3_1 <=> in(5,sK0)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
3.11/0.75	tff(f1591,plain,(
3.11/0.75	  remove(sK1,sK0) = add(5,empty) | 5 = sK1 | (~spl3_1 | ~spl3_25)),
3.11/0.75	  inference(superposition,[],[f338,f1534])).
3.11/0.75	tff(f338,plain,(
3.11/0.75	  ( ! [X1:$int] : (remove(X1,sK0) = add(5,remove(5,remove(X1,sK0))) | 5 = X1) ) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f103,f55])).
3.11/0.75	tff(f103,plain,(
3.11/0.75	  ( ! [X0:$int] : (in(5,remove(X0,sK0)) | 5 = X0) ) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f77,f64])).
3.11/0.75	tff(f77,plain,(
3.11/0.75	  in(5,sK0) | ~spl3_1),
3.11/0.75	  inference(avatar_component_clause,[],[f76])).
3.11/0.75	tff(f1580,plain,(
3.11/0.75	  spl3_28 | spl3_31 | ~spl3_5 | ~spl3_16),
3.11/0.75	  inference(avatar_split_clause,[],[f1567,f163,f92,f1578,f1556])).
3.11/0.75	tff(f1578,plain,(
3.11/0.75	  spl3_31 <=> empty = remove(sK2,remove(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_31])])).
3.11/0.75	tff(f1567,plain,(
3.11/0.75	  empty = remove(sK2,remove(sK1,sK0)) | sK1 = sK2 | (~spl3_5 | ~spl3_16)),
3.11/0.75	  inference(evaluation,[],[f1565])).
3.11/0.75	tff(f1565,plain,(
3.11/0.75	  0 != $sum(1,-1) | empty = remove(sK2,remove(sK1,sK0)) | sK1 = sK2 | (~spl3_5 | ~spl3_16)),
3.11/0.75	  inference(superposition,[],[f727,f164])).
3.11/0.75	tff(f727,plain,(
3.11/0.75	  ( ! [X5:$int] : (0 != $sum(count(remove(X5,sK0)),-1) | empty = remove(sK2,remove(X5,sK0)) | sK2 = X5) ) | ~spl3_5),
3.11/0.75	  inference(superposition,[],[f52,f364])).
3.11/0.75	tff(f364,plain,(
3.11/0.75	  ( ! [X9:$int] : ($sum(count(remove(X9,sK0)),-1) = count(remove(sK2,remove(X9,sK0))) | sK2 = X9) ) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f171,f73])).
3.11/0.75	tff(f73,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (count(remove(X0,X1)) = $sum(count(X1),-1) | ~in(X0,X1)) )),
3.11/0.75	  inference(evaluation,[],[f63])).
3.11/0.75	tff(f63,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) )),
3.11/0.75	  inference(cnf_transformation,[],[f38])).
3.11/0.75	tff(f52,plain,(
3.11/0.75	  ( ! [X0:collection] : (empty = X0 | 0 != count(X0)) )),
3.11/0.75	  inference(cnf_transformation,[],[f34])).
3.11/0.75	tff(f1576,plain,(
3.11/0.75	  spl3_24 | spl3_30 | ~spl3_5 | ~spl3_11),
3.11/0.75	  inference(avatar_split_clause,[],[f1568,f129,f92,f1574,f1398])).
3.11/0.75	tff(f1574,plain,(
3.11/0.75	  spl3_30 <=> empty = remove(sK2,remove(5,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_30])])).
3.11/0.75	tff(f129,plain,(
3.11/0.75	  spl3_11 <=> 1 = count(remove(5,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_11])])).
3.11/0.75	tff(f1568,plain,(
3.11/0.75	  empty = remove(sK2,remove(5,sK0)) | 5 = sK2 | (~spl3_5 | ~spl3_11)),
3.11/0.75	  inference(evaluation,[],[f1564])).
3.11/0.75	tff(f1564,plain,(
3.11/0.75	  0 != $sum(1,-1) | empty = remove(sK2,remove(5,sK0)) | 5 = sK2 | (~spl3_5 | ~spl3_11)),
3.11/0.75	  inference(superposition,[],[f727,f130])).
3.11/0.75	tff(f130,plain,(
3.11/0.75	  1 = count(remove(5,sK0)) | ~spl3_11),
3.11/0.75	  inference(avatar_component_clause,[],[f129])).
3.11/0.75	tff(f1561,plain,(
3.11/0.75	  spl3_28 | spl3_29 | ~spl3_3 | ~spl3_21),
3.11/0.75	  inference(avatar_split_clause,[],[f1545,f197,f84,f1559,f1556])).
3.11/0.75	tff(f1559,plain,(
3.11/0.75	  spl3_29 <=> empty = remove(sK1,remove(sK2,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_29])])).
3.11/0.75	tff(f84,plain,(
3.11/0.75	  spl3_3 <=> in(sK1,sK0)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
3.11/0.75	tff(f197,plain,(
3.11/0.75	  spl3_21 <=> 1 = count(remove(sK2,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_21])])).
3.11/0.75	tff(f1545,plain,(
3.11/0.75	  empty = remove(sK1,remove(sK2,sK0)) | sK1 = sK2 | (~spl3_3 | ~spl3_21)),
3.11/0.75	  inference(evaluation,[],[f1544])).
3.11/0.75	tff(f1544,plain,(
3.11/0.75	  0 != $sum(1,-1) | empty = remove(sK1,remove(sK2,sK0)) | sK1 = sK2 | (~spl3_3 | ~spl3_21)),
3.11/0.75	  inference(superposition,[],[f711,f198])).
3.11/0.75	tff(f198,plain,(
3.11/0.75	  1 = count(remove(sK2,sK0)) | ~spl3_21),
3.11/0.75	  inference(avatar_component_clause,[],[f197])).
3.11/0.75	tff(f711,plain,(
3.11/0.75	  ( ! [X5:$int] : (0 != $sum(count(remove(X5,sK0)),-1) | empty = remove(sK1,remove(X5,sK0)) | sK1 = X5) ) | ~spl3_3),
3.11/0.75	  inference(superposition,[],[f52,f354])).
3.11/0.75	tff(f354,plain,(
3.11/0.75	  ( ! [X9:$int] : ($sum(count(remove(X9,sK0)),-1) = count(remove(sK1,remove(X9,sK0))) | sK1 = X9) ) | ~spl3_3),
3.11/0.75	  inference(resolution,[],[f137,f73])).
3.11/0.75	tff(f137,plain,(
3.11/0.75	  ( ! [X0:$int] : (in(sK1,remove(X0,sK0)) | sK1 = X0) ) | ~spl3_3),
3.11/0.75	  inference(resolution,[],[f85,f64])).
3.11/0.75	tff(f85,plain,(
3.11/0.75	  in(sK1,sK0) | ~spl3_3),
3.11/0.75	  inference(avatar_component_clause,[],[f84])).
3.11/0.75	tff(f1554,plain,(
3.11/0.75	  spl3_22 | spl3_27 | ~spl3_3 | ~spl3_11),
3.11/0.75	  inference(avatar_split_clause,[],[f1546,f129,f84,f1552,f1390])).
3.11/0.75	tff(f1552,plain,(
3.11/0.75	  spl3_27 <=> empty = remove(sK1,remove(5,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_27])])).
3.11/0.75	tff(f1546,plain,(
3.11/0.75	  empty = remove(sK1,remove(5,sK0)) | 5 = sK1 | (~spl3_3 | ~spl3_11)),
3.11/0.75	  inference(evaluation,[],[f1542])).
3.11/0.75	tff(f1542,plain,(
3.11/0.75	  0 != $sum(1,-1) | empty = remove(sK1,remove(5,sK0)) | 5 = sK1 | (~spl3_3 | ~spl3_11)),
3.11/0.75	  inference(superposition,[],[f711,f130])).
3.11/0.75	tff(f1539,plain,(
3.11/0.75	  spl3_24 | spl3_26 | ~spl3_1 | ~spl3_21),
3.11/0.75	  inference(avatar_split_clause,[],[f1526,f197,f76,f1537,f1398])).
3.11/0.75	tff(f1537,plain,(
3.11/0.75	  spl3_26 <=> empty = remove(5,remove(sK2,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_26])])).
3.11/0.75	tff(f1526,plain,(
3.11/0.75	  empty = remove(5,remove(sK2,sK0)) | 5 = sK2 | (~spl3_1 | ~spl3_21)),
3.11/0.75	  inference(evaluation,[],[f1525])).
3.11/0.75	tff(f1525,plain,(
3.11/0.75	  0 != $sum(1,-1) | empty = remove(5,remove(sK2,sK0)) | 5 = sK2 | (~spl3_1 | ~spl3_21)),
3.11/0.75	  inference(superposition,[],[f695,f198])).
3.11/0.75	tff(f695,plain,(
3.11/0.75	  ( ! [X5:$int] : (0 != $sum(count(remove(X5,sK0)),-1) | empty = remove(5,remove(X5,sK0)) | 5 = X5) ) | ~spl3_1),
3.11/0.75	  inference(superposition,[],[f52,f344])).
3.11/0.75	tff(f344,plain,(
3.11/0.75	  ( ! [X9:$int] : (count(remove(5,remove(X9,sK0))) = $sum(count(remove(X9,sK0)),-1) | 5 = X9) ) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f103,f73])).
3.11/0.75	tff(f1535,plain,(
3.11/0.75	  spl3_22 | spl3_25 | ~spl3_1 | ~spl3_16),
3.11/0.75	  inference(avatar_split_clause,[],[f1527,f163,f76,f1533,f1390])).
3.11/0.75	tff(f1527,plain,(
3.11/0.75	  empty = remove(5,remove(sK1,sK0)) | 5 = sK1 | (~spl3_1 | ~spl3_16)),
3.11/0.75	  inference(evaluation,[],[f1524])).
3.11/0.75	tff(f1524,plain,(
3.11/0.75	  0 != $sum(1,-1) | empty = remove(5,remove(sK1,sK0)) | 5 = sK1 | (~spl3_1 | ~spl3_16)),
3.11/0.75	  inference(superposition,[],[f695,f164])).
3.11/0.75	tff(f1400,plain,(
3.11/0.75	  spl3_24 | ~spl3_23 | ~spl3_1 | ~spl3_11 | ~spl3_17),
3.11/0.75	  inference(avatar_split_clause,[],[f1396,f175,f129,f76,f1393,f1398])).
3.11/0.75	tff(f1393,plain,(
3.11/0.75	  spl3_23 <=> 1 = count(sK0)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_23])])).
3.11/0.75	tff(f175,plain,(
3.11/0.75	  spl3_17 <=> sK0 = add(sK2,remove(sK2,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_17])])).
3.11/0.75	tff(f1396,plain,(
3.11/0.75	  1 != count(sK0) | 5 = sK2 | (~spl3_1 | ~spl3_11 | ~spl3_17)),
3.11/0.75	  inference(forward_demodulation,[],[f1382,f130])).
3.11/0.75	tff(f1382,plain,(
3.11/0.75	  count(sK0) != count(remove(5,sK0)) | 5 = sK2 | (~spl3_1 | ~spl3_17)),
3.11/0.75	  inference(superposition,[],[f429,f176])).
3.11/0.75	tff(f176,plain,(
3.11/0.75	  sK0 = add(sK2,remove(sK2,sK0)) | ~spl3_17),
3.11/0.75	  inference(avatar_component_clause,[],[f175])).
3.11/0.75	tff(f429,plain,(
3.11/0.75	  ( ! [X4:$int,X5:$int] : (count(add(X5,remove(X4,sK0))) != count(remove(5,add(X5,remove(X4,sK0)))) | 5 = X4) ) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f343,f57])).
3.11/0.75	tff(f57,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (~in(X0,X1) | count(X1) != count(remove(X0,X1))) )),
3.11/0.75	  inference(cnf_transformation,[],[f35])).
3.11/0.75	tff(f343,plain,(
3.11/0.75	  ( ! [X8:$int,X7:$int] : (in(5,add(X8,remove(X7,sK0))) | 5 = X7) ) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f103,f68])).
3.11/0.75	tff(f1395,plain,(
3.11/0.75	  spl3_22 | ~spl3_23 | ~spl3_1 | ~spl3_11 | ~spl3_12),
3.11/0.75	  inference(avatar_split_clause,[],[f1388,f141,f129,f76,f1393,f1390])).
3.11/0.75	tff(f141,plain,(
3.11/0.75	  spl3_12 <=> sK0 = add(sK1,remove(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_12])])).
3.11/0.75	tff(f1388,plain,(
3.11/0.75	  1 != count(sK0) | 5 = sK1 | (~spl3_1 | ~spl3_11 | ~spl3_12)),
3.11/0.75	  inference(forward_demodulation,[],[f1381,f130])).
3.11/0.75	tff(f1381,plain,(
3.11/0.75	  count(sK0) != count(remove(5,sK0)) | 5 = sK1 | (~spl3_1 | ~spl3_12)),
3.11/0.75	  inference(superposition,[],[f429,f142])).
3.11/0.75	tff(f142,plain,(
3.11/0.75	  sK0 = add(sK1,remove(sK1,sK0)) | ~spl3_12),
3.11/0.75	  inference(avatar_component_clause,[],[f141])).
3.11/0.75	tff(f199,plain,(
3.11/0.75	  spl3_21 | ~spl3_4 | ~spl3_5),
3.11/0.75	  inference(avatar_split_clause,[],[f195,f92,f88,f197])).
3.11/0.75	tff(f88,plain,(
3.11/0.75	  spl3_4 <=> 2 = count(sK0)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
3.11/0.75	tff(f195,plain,(
3.11/0.75	  1 = count(remove(sK2,sK0)) | (~spl3_4 | ~spl3_5)),
3.11/0.75	  inference(evaluation,[],[f194])).
3.11/0.75	tff(f194,plain,(
3.11/0.75	  $sum(2,-1) = count(remove(sK2,sK0)) | (~spl3_4 | ~spl3_5)),
3.11/0.75	  inference(forward_demodulation,[],[f173,f89])).
3.11/0.75	tff(f89,plain,(
3.11/0.75	  2 = count(sK0) | ~spl3_4),
3.11/0.75	  inference(avatar_component_clause,[],[f88])).
3.11/0.75	tff(f173,plain,(
3.11/0.75	  $sum(count(sK0),-1) = count(remove(sK2,sK0)) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f93,f73])).
3.11/0.75	tff(f193,plain,(
3.11/0.75	  spl3_20 | ~spl3_4 | ~spl3_5),
3.11/0.75	  inference(avatar_split_clause,[],[f189,f92,f88,f191])).
3.11/0.75	tff(f191,plain,(
3.11/0.75	  spl3_20 <=> 2 = count(add(sK2,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_20])])).
3.11/0.75	tff(f189,plain,(
3.11/0.75	  2 = count(add(sK2,sK0)) | (~spl3_4 | ~spl3_5)),
3.11/0.75	  inference(forward_demodulation,[],[f170,f89])).
3.11/0.75	tff(f170,plain,(
3.11/0.75	  count(sK0) = count(add(sK2,sK0)) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f93,f60])).
3.11/0.75	tff(f60,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (count(X1) = count(add(X0,X1)) | ~in(X0,X1)) )),
3.11/0.75	  inference(cnf_transformation,[],[f37])).
3.11/0.75	tff(f37,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(X1) != count(add(X0,X1))) & (count(X1) = count(add(X0,X1)) | ~in(X0,X1)))),
3.11/0.75	  inference(nnf_transformation,[],[f25])).
3.11/0.75	tff(f25,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(X1) = count(add(X0,X1)))),
3.11/0.75	  inference(rectify,[],[f6])).
3.11/0.75	tff(f6,axiom,(
3.11/0.75	  ! [X11 : $int,X12 : collection] : (in(X11,X12) <=> count(X12) = count(add(X11,X12)))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)).
3.11/0.75	tff(f188,plain,(
3.11/0.75	  ~spl3_19 | ~spl3_4 | ~spl3_5),
3.11/0.75	  inference(avatar_split_clause,[],[f184,f92,f88,f186])).
3.11/0.75	tff(f186,plain,(
3.11/0.75	  spl3_19 <=> 3 = count(add(sK2,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_19])])).
3.11/0.75	tff(f184,plain,(
3.11/0.75	  3 != count(add(sK2,sK0)) | (~spl3_4 | ~spl3_5)),
3.11/0.75	  inference(evaluation,[],[f183])).
3.11/0.75	tff(f183,plain,(
3.11/0.75	  $sum(2,1) != count(add(sK2,sK0)) | (~spl3_4 | ~spl3_5)),
3.11/0.75	  inference(forward_demodulation,[],[f169,f89])).
3.11/0.75	tff(f169,plain,(
3.11/0.75	  $sum(count(sK0),1) != count(add(sK2,sK0)) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f93,f59])).
3.11/0.75	tff(f59,plain,(
3.11/0.75	  ( ! [X0:$int,X1:collection] : (~in(X0,X1) | count(add(X0,X1)) != $sum(count(X1),1)) )),
3.11/0.75	  inference(cnf_transformation,[],[f36])).
3.11/0.75	tff(f36,plain,(
3.11/0.75	  ! [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)))),
3.11/0.75	  inference(nnf_transformation,[],[f24])).
3.11/0.75	tff(f24,plain,(
3.11/0.75	  ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(add(X0,X1)) = $sum(count(X1),1))),
3.11/0.75	  inference(rectify,[],[f11])).
3.11/0.75	tff(f11,axiom,(
3.11/0.75	  ! [X19 : $int,X20 : collection] : (~in(X19,X20) <=> count(add(X19,X20)) = $sum(count(X20),1))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
3.11/0.75	tff(f182,plain,(
3.11/0.75	  ~spl3_18 | ~spl3_4 | ~spl3_5),
3.11/0.75	  inference(avatar_split_clause,[],[f178,f92,f88,f180])).
3.11/0.75	tff(f180,plain,(
3.11/0.75	  spl3_18 <=> 2 = count(remove(sK2,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_18])])).
3.11/0.75	tff(f178,plain,(
3.11/0.75	  2 != count(remove(sK2,sK0)) | (~spl3_4 | ~spl3_5)),
3.11/0.75	  inference(forward_demodulation,[],[f168,f89])).
3.11/0.75	tff(f168,plain,(
3.11/0.75	  count(sK0) != count(remove(sK2,sK0)) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f93,f57])).
3.11/0.75	tff(f177,plain,(
3.11/0.75	  spl3_17 | ~spl3_5),
3.11/0.75	  inference(avatar_split_clause,[],[f167,f92,f175])).
3.11/0.75	tff(f167,plain,(
3.11/0.75	  sK0 = add(sK2,remove(sK2,sK0)) | ~spl3_5),
3.11/0.75	  inference(resolution,[],[f93,f55])).
3.11/0.75	tff(f165,plain,(
3.11/0.75	  spl3_16 | ~spl3_3 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f161,f88,f84,f163])).
3.11/0.75	tff(f161,plain,(
3.11/0.75	  1 = count(remove(sK1,sK0)) | (~spl3_3 | ~spl3_4)),
3.11/0.75	  inference(evaluation,[],[f160])).
3.11/0.75	tff(f160,plain,(
3.11/0.75	  $sum(2,-1) = count(remove(sK1,sK0)) | (~spl3_3 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f139,f89])).
3.11/0.75	tff(f139,plain,(
3.11/0.75	  $sum(count(sK0),-1) = count(remove(sK1,sK0)) | ~spl3_3),
3.11/0.75	  inference(resolution,[],[f85,f73])).
3.11/0.75	tff(f159,plain,(
3.11/0.75	  spl3_15 | ~spl3_3 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f155,f88,f84,f157])).
3.11/0.75	tff(f157,plain,(
3.11/0.75	  spl3_15 <=> 2 = count(add(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_15])])).
3.11/0.75	tff(f155,plain,(
3.11/0.75	  2 = count(add(sK1,sK0)) | (~spl3_3 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f136,f89])).
3.11/0.75	tff(f136,plain,(
3.11/0.75	  count(sK0) = count(add(sK1,sK0)) | ~spl3_3),
3.11/0.75	  inference(resolution,[],[f85,f60])).
3.11/0.75	tff(f154,plain,(
3.11/0.75	  ~spl3_14 | ~spl3_3 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f150,f88,f84,f152])).
3.11/0.75	tff(f152,plain,(
3.11/0.75	  spl3_14 <=> 3 = count(add(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_14])])).
3.11/0.75	tff(f150,plain,(
3.11/0.75	  3 != count(add(sK1,sK0)) | (~spl3_3 | ~spl3_4)),
3.11/0.75	  inference(evaluation,[],[f149])).
3.11/0.75	tff(f149,plain,(
3.11/0.75	  $sum(2,1) != count(add(sK1,sK0)) | (~spl3_3 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f135,f89])).
3.11/0.75	tff(f135,plain,(
3.11/0.75	  $sum(count(sK0),1) != count(add(sK1,sK0)) | ~spl3_3),
3.11/0.75	  inference(resolution,[],[f85,f59])).
3.11/0.75	tff(f148,plain,(
3.11/0.75	  ~spl3_13 | ~spl3_3 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f144,f88,f84,f146])).
3.11/0.75	tff(f146,plain,(
3.11/0.75	  spl3_13 <=> 2 = count(remove(sK1,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_13])])).
3.11/0.75	tff(f144,plain,(
3.11/0.75	  2 != count(remove(sK1,sK0)) | (~spl3_3 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f134,f89])).
3.11/0.75	tff(f134,plain,(
3.11/0.75	  count(sK0) != count(remove(sK1,sK0)) | ~spl3_3),
3.11/0.75	  inference(resolution,[],[f85,f57])).
3.11/0.75	tff(f143,plain,(
3.11/0.75	  spl3_12 | ~spl3_3),
3.11/0.75	  inference(avatar_split_clause,[],[f133,f84,f141])).
3.11/0.75	tff(f133,plain,(
3.11/0.75	  sK0 = add(sK1,remove(sK1,sK0)) | ~spl3_3),
3.11/0.75	  inference(resolution,[],[f85,f55])).
3.11/0.75	tff(f131,plain,(
3.11/0.75	  spl3_11 | ~spl3_1 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f127,f88,f76,f129])).
3.11/0.75	tff(f127,plain,(
3.11/0.75	  1 = count(remove(5,sK0)) | (~spl3_1 | ~spl3_4)),
3.11/0.75	  inference(evaluation,[],[f126])).
3.11/0.75	tff(f126,plain,(
3.11/0.75	  count(remove(5,sK0)) = $sum(2,-1) | (~spl3_1 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f105,f89])).
3.11/0.75	tff(f105,plain,(
3.11/0.75	  count(remove(5,sK0)) = $sum(count(sK0),-1) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f77,f73])).
3.11/0.75	tff(f125,plain,(
3.11/0.75	  spl3_10 | ~spl3_1 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f121,f88,f76,f123])).
3.11/0.75	tff(f123,plain,(
3.11/0.75	  spl3_10 <=> 2 = count(add(5,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_10])])).
3.11/0.75	tff(f121,plain,(
3.11/0.75	  2 = count(add(5,sK0)) | (~spl3_1 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f102,f89])).
3.11/0.75	tff(f102,plain,(
3.11/0.75	  count(sK0) = count(add(5,sK0)) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f77,f60])).
3.11/0.75	tff(f120,plain,(
3.11/0.75	  ~spl3_9 | ~spl3_1 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f116,f88,f76,f118])).
3.11/0.75	tff(f118,plain,(
3.11/0.75	  spl3_9 <=> 3 = count(add(5,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_9])])).
3.11/0.75	tff(f116,plain,(
3.11/0.75	  3 != count(add(5,sK0)) | (~spl3_1 | ~spl3_4)),
3.11/0.75	  inference(evaluation,[],[f115])).
3.11/0.75	tff(f115,plain,(
3.11/0.75	  count(add(5,sK0)) != $sum(2,1) | (~spl3_1 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f101,f89])).
3.11/0.75	tff(f101,plain,(
3.11/0.75	  count(add(5,sK0)) != $sum(count(sK0),1) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f77,f59])).
3.11/0.75	tff(f114,plain,(
3.11/0.75	  ~spl3_8 | ~spl3_1 | ~spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f110,f88,f76,f112])).
3.11/0.75	tff(f112,plain,(
3.11/0.75	  spl3_8 <=> 2 = count(remove(5,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_8])])).
3.11/0.75	tff(f110,plain,(
3.11/0.75	  2 != count(remove(5,sK0)) | (~spl3_1 | ~spl3_4)),
3.11/0.75	  inference(forward_demodulation,[],[f100,f89])).
3.11/0.75	tff(f100,plain,(
3.11/0.75	  count(sK0) != count(remove(5,sK0)) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f77,f57])).
3.11/0.75	tff(f109,plain,(
3.11/0.75	  spl3_7 | ~spl3_1),
3.11/0.75	  inference(avatar_split_clause,[],[f99,f76,f107])).
3.11/0.75	tff(f107,plain,(
3.11/0.75	  spl3_7 <=> sK0 = add(5,remove(5,sK0))),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_7])])).
3.11/0.75	tff(f99,plain,(
3.11/0.75	  sK0 = add(5,remove(5,sK0)) | ~spl3_1),
3.11/0.75	  inference(resolution,[],[f77,f55])).
3.11/0.75	tff(f98,plain,(
3.11/0.75	  spl3_6),
3.11/0.75	  inference(avatar_split_clause,[],[f43,f96])).
3.11/0.75	tff(f96,plain,(
3.11/0.75	  spl3_6 <=> $less(sK1,3)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_6])])).
3.11/0.75	tff(f43,plain,(
3.11/0.75	  $less(sK1,3)),
3.11/0.75	  inference(cnf_transformation,[],[f33])).
3.11/0.75	tff(f33,plain,(
3.11/0.75	  in(5,sK0) & $less(6,sK2) & in(sK1,sK0) & 2 = count(sK0) & in(sK2,sK0) & $less(sK1,3)),
3.11/0.75	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f30,f32])).
3.11/0.75	tff(f32,plain,(
3.11/0.75	  ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & $less(6,X2) & in(X1,X0) & 2 = count(X0) & in(X2,X0) & $less(X1,3)) => (in(5,sK0) & $less(6,sK2) & in(sK1,sK0) & 2 = count(sK0) & in(sK2,sK0) & $less(sK1,3))),
3.11/0.75	  introduced(choice_axiom,[])).
3.11/0.75	tff(f30,plain,(
3.11/0.75	  ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & $less(6,X2) & in(X1,X0) & 2 = count(X0) & in(X2,X0) & $less(X1,3))),
3.11/0.75	  inference(flattening,[],[f29])).
3.11/0.75	tff(f29,plain,(
3.11/0.75	  ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & ($less(6,X2) & in(X1,X0) & 2 = count(X0) & in(X2,X0) & $less(X1,3)))),
3.11/0.75	  inference(ennf_transformation,[],[f17])).
3.11/0.75	tff(f17,plain,(
3.11/0.75	  ~! [X0 : collection,X1 : $int,X2 : $int] : (($less(6,X2) & in(X1,X0) & 2 = count(X0) & in(X2,X0) & $less(X1,3)) => ~in(5,X0))),
3.11/0.75	  inference(rectify,[],[f14])).
3.11/0.75	tff(f14,negated_conjecture,(
3.11/0.75	  ~! [X5 : collection,X0 : $int,X1 : $int] : (($less(6,X1) & in(X0,X5) & 2 = count(X5) & in(X1,X5) & $less(X0,3)) => ~in(5,X5))),
3.11/0.75	  inference(negated_conjecture,[],[f13])).
3.11/0.75	tff(f13,conjecture,(
3.11/0.75	  ! [X5 : collection,X0 : $int,X1 : $int] : (($less(6,X1) & in(X0,X5) & 2 = count(X5) & in(X1,X5) & $less(X0,3)) => ~in(5,X5))),
3.11/0.75	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
3.11/0.75	tff(f94,plain,(
3.11/0.75	  spl3_5),
3.11/0.75	  inference(avatar_split_clause,[],[f44,f92])).
3.11/0.75	tff(f44,plain,(
3.11/0.75	  in(sK2,sK0)),
3.11/0.75	  inference(cnf_transformation,[],[f33])).
3.11/0.75	tff(f90,plain,(
3.11/0.75	  spl3_4),
3.11/0.75	  inference(avatar_split_clause,[],[f45,f88])).
3.11/0.75	tff(f45,plain,(
3.11/0.75	  2 = count(sK0)),
3.11/0.75	  inference(cnf_transformation,[],[f33])).
3.11/0.75	tff(f86,plain,(
3.11/0.75	  spl3_3),
3.11/0.75	  inference(avatar_split_clause,[],[f46,f84])).
3.11/0.75	tff(f46,plain,(
3.11/0.75	  in(sK1,sK0)),
3.11/0.75	  inference(cnf_transformation,[],[f33])).
3.11/0.75	tff(f82,plain,(
3.11/0.75	  spl3_2),
3.11/0.75	  inference(avatar_split_clause,[],[f47,f80])).
3.11/0.75	tff(f80,plain,(
3.11/0.75	  spl3_2 <=> $less(6,sK2)),
3.11/0.75	  introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
3.11/0.75	tff(f47,plain,(
3.11/0.75	  $less(6,sK2)),
3.11/0.75	  inference(cnf_transformation,[],[f33])).
3.11/0.75	tff(f78,plain,(
3.11/0.75	  spl3_1),
3.11/0.75	  inference(avatar_split_clause,[],[f48,f76])).
3.11/0.75	tff(f48,plain,(
3.11/0.75	  in(5,sK0)),
3.11/0.75	  inference(cnf_transformation,[],[f33])).
3.11/0.75	% SZS output end Proof for theBenchmark
3.11/0.75	% (5374)------------------------------
3.11/0.75	% (5374)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
3.11/0.75	% (5374)Termination reason: Refutation
3.11/0.75	
3.11/0.75	% (5374)Memory used [KB]: 7036
3.11/0.75	% (5374)Time elapsed: 0.383 s
3.11/0.75	% (5374)------------------------------
3.11/0.75	% (5374)------------------------------
3.11/0.76	% (5383)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
3.11/0.78	% (5345)Success in time 0.454 s
3.35/0.79	EOF