0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_vampire %s %d
0.12/0.33	% Computer   : n022.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 960
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Thu Jul  2 07:50:32 EDT 2020
0.12/0.33	% CPUTime    : 
0.18/0.49	% (29413)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
0.18/0.51	% (29429)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
0.18/0.51	% (29432)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
0.18/0.51	% (29421)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
0.18/0.52	% (29408)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
0.18/0.53	% (29415)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
0.18/0.53	% (29418)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
0.18/0.53	% (29417)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
0.18/0.53	% (29424)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
0.18/0.54	% (29416)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
0.18/0.54	% (29430)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
0.18/0.54	% (29407)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
0.18/0.54	% (29422)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
0.18/0.54	% (29411)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
0.18/0.54	% (29427)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
0.18/0.54	% (29412)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
0.18/0.55	% (29435)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
0.18/0.55	% (29428)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
0.18/0.55	% (29418)Refutation not found, incomplete strategy% (29418)------------------------------
0.18/0.55	% (29418)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
0.18/0.56	% (29410)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
0.18/0.56	% (29414)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
0.18/0.56	% (29409)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
0.18/0.56	% (29420)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
0.18/0.56	% (29433)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
0.18/0.56	% (29418)Termination reason: Refutation not found, incomplete strategy
0.18/0.56	
0.18/0.56	% (29418)Memory used [KB]: 6268
0.18/0.56	% (29418)Time elapsed: 0.154 s
0.18/0.56	% (29418)------------------------------
0.18/0.56	% (29418)------------------------------
0.18/0.56	% (29419)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
1.57/0.56	% (29434)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
1.57/0.57	% (29423)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
1.57/0.57	% (29426)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
1.57/0.57	% (29425)WARNING: option uwaf not known.
1.57/0.58	% (29436)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
1.57/0.58	% (29431)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
1.74/0.60	% (29425)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
2.30/0.69	% (29437)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
2.99/0.81	% (29419)Refutation found. Thanks to Tanya!
2.99/0.81	% SZS status Theorem for theBenchmark
2.99/0.81	% SZS output start Proof for theBenchmark
2.99/0.81	tff(type_def_5, type, uni: $tType).
2.99/0.81	tff(type_def_6, type, ty: $tType).
2.99/0.81	tff(type_def_7, type, bool1: $tType).
2.99/0.81	tff(type_def_8, type, tuple02: $tType).
2.99/0.81	tff(type_def_9, type, list_int: $tType).
2.99/0.81	tff(type_def_10, type, option_int: $tType).
2.99/0.81	tff(func_def_0, type, witness1: ty > uni).
2.99/0.81	tff(func_def_1, type, int: ty).
2.99/0.81	tff(func_def_2, type, real: ty).
2.99/0.81	tff(func_def_3, type, bool: ty).
2.99/0.81	tff(func_def_4, type, true1: bool1).
2.99/0.81	tff(func_def_5, type, false1: bool1).
2.99/0.81	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
2.99/0.81	tff(func_def_7, type, tuple0: ty).
2.99/0.81	tff(func_def_8, type, tuple03: tuple02).
2.99/0.81	tff(func_def_9, type, qtmark: ty).
2.99/0.81	tff(func_def_10, type, list: ty > ty).
2.99/0.81	tff(func_def_11, type, nil: ty > uni).
2.99/0.81	tff(func_def_12, type, cons: (ty * uni * uni) > uni).
2.99/0.81	tff(func_def_13, type, match_list1: (ty * ty * uni * uni * uni) > uni).
2.99/0.81	tff(func_def_14, type, cons_proj_11: (ty * uni) > uni).
2.99/0.81	tff(func_def_15, type, cons_proj_21: (ty * uni) > uni).
2.99/0.81	tff(func_def_16, type, length1: (ty * uni) > $int).
2.99/0.81	tff(func_def_17, type, option: ty > ty).
2.99/0.81	tff(func_def_18, type, none: ty > uni).
2.99/0.81	tff(func_def_19, type, some: (ty * uni) > uni).
2.99/0.81	tff(func_def_20, type, match_option1: (ty * ty * uni * uni * uni) > uni).
2.99/0.81	tff(func_def_21, type, some_proj_11: (ty * uni) > uni).
2.99/0.81	tff(func_def_22, type, nth1: (ty * $int * uni) > uni).
2.99/0.81	tff(func_def_23, type, t2tb: option_int > uni).
2.99/0.81	tff(func_def_24, type, tb2t: uni > option_int).
2.99/0.81	tff(func_def_25, type, t2tb1: list_int > uni).
2.99/0.81	tff(func_def_26, type, tb2t1: uni > list_int).
2.99/0.81	tff(func_def_27, type, t2tb2: $int > uni).
2.99/0.81	tff(func_def_28, type, tb2t2: uni > $int).
2.99/0.81	tff(func_def_29, type, ref: ty > ty).
2.99/0.81	tff(func_def_30, type, mk_ref: (ty * uni) > uni).
2.99/0.81	tff(func_def_31, type, contents: (ty * uni) > uni).
2.99/0.81	tff(func_def_32, type, hd: (ty * uni) > uni).
2.99/0.81	tff(func_def_33, type, tl: (ty * uni) > uni).
2.99/0.81	tff(func_def_40, type, sK0: list_int).
2.99/0.81	tff(func_def_41, type, sK1: list_int).
2.99/0.81	tff(func_def_42, type, sK2: $int).
2.99/0.81	tff(func_def_43, type, sK3: $int).
2.99/0.81	tff(func_def_44, type, sK4: $int).
2.99/0.81	tff(func_def_45, type, sK5: list_int).
2.99/0.81	tff(func_def_46, type, sK6: list_int > $int).
2.99/0.81	tff(func_def_47, type, sK7: (list_int * $int) > $int).
2.99/0.81	tff(pred_def_1, type, sort1: (ty * uni) > $o).
2.99/0.81	tff(pred_def_2, type, zero_at1: (list_int * $int) > $o).
2.99/0.81	tff(pred_def_3, type, no_zero1: list_int > $o).
2.99/0.81	tff(f822,plain,(
2.99/0.81	  $false),
2.99/0.81	  inference(avatar_sat_refutation,[],[f221,f226,f231,f240,f245,f246,f257,f263,f270,f281,f298,f307,f321,f333,f346,f350,f359,f370,f386,f395,f412,f426,f436,f446,f455,f468,f486,f532,f542,f558,f571,f577,f580,f609,f618,f636,f665,f680,f681,f695,f698,f795,f803,f821])).
2.99/0.81	tff(f821,plain,(
2.99/0.81	  ~spl8_52 | spl8_34 | ~spl8_51),
2.99/0.81	  inference(avatar_split_clause,[],[f814,f800,f551,f818])).
2.99/0.81	tff(f818,plain,(
2.99/0.81	  spl8_52 <=> $less(sK7(sK0,$sum(sK2,0)),sK2)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_52])])).
2.99/0.81	tff(f551,plain,(
2.99/0.81	  spl8_34 <=> $less(sK7(sK0,$sum(sK2,0)),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_34])])).
2.99/0.81	tff(f800,plain,(
2.99/0.81	  spl8_51 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,0)),t2tb1(sK0)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_51])])).
2.99/0.81	tff(f814,plain,(
2.99/0.81	  $less(sK7(sK0,$sum(sK2,0)),0) | ~$less(sK7(sK0,$sum(sK2,0)),sK2) | ~spl8_51),
2.99/0.81	  inference(trivial_inequality_removal,[],[f806])).
2.99/0.81	tff(f806,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,$sum(sK2,0)),0) | ~$less(sK7(sK0,$sum(sK2,0)),sK2) | ~spl8_51),
2.99/0.81	  inference(superposition,[],[f142,f802])).
2.99/0.81	tff(f802,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,0)),t2tb1(sK0))) | ~spl8_51),
2.99/0.81	  inference(avatar_component_clause,[],[f800])).
2.99/0.81	tff(f142,plain,(
2.99/0.81	  ( ! [X6:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,t2tb1(sK0))) | $less(X6,0) | ~$less(X6,sK2)) )),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f135,plain,(
2.99/0.81	  ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & ($less(sK2,0) | ~zero_at1(sK0,sK2) | ~$less(sK2,length1(int,t2tb1(sK0)))) & 0 = sK3 & (sK1 = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) & sK3 = sK4)) & tb2t1(nil(int)) != sK1 & tb2t1(nil(int)) != sK1 & ~$less(sK2,0) & length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1))) & ! [X6 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,t2tb1(sK0))) | $less(X6,0) | ~$less(X6,sK2)) & ! [X7 : $int] : (tb2t(nth1(int,$sum(sK2,X7),t2tb1(sK0))) = tb2t(nth1(int,X7,t2tb1(sK1))) | $less(X7,0))),
2.99/0.81	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f131,f134,f133,f132])).
2.99/0.81	tff(f132,plain,(
2.99/0.81	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X3 : $int] : ((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & ($less(X2,0) | ~zero_at1(X0,X2) | ~$less(X2,length1(int,t2tb1(X0)))) & 0 = X3 & ? [X4 : $int,X5 : list_int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1 & X3 = X4)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) & ! [X6 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,t2tb1(X0))) | $less(X6,0) | ~$less(X6,X2)) & ! [X7 : $int] : (tb2t(nth1(int,$sum(X2,X7),t2tb1(X0))) = tb2t(nth1(int,X7,t2tb1(X1))) | $less(X7,0))) => (? [X3 : $int] : ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & ($less(sK2,0) | ~zero_at1(sK0,sK2) | ~$less(sK2,length1(int,t2tb1(sK0)))) & 0 = X3 & ? [X5 : list_int,X4 : $int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1 & X3 = X4)) & tb2t1(nil(int)) != sK1 & tb2t1(nil(int)) != sK1 & ~$less(sK2,0) & length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1))) & ! [X6 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,t2tb1(sK0))) | $less(X6,0) | ~$less(X6,sK2)) & ! [X7 : $int] : (tb2t(nth1(int,$sum(sK2,X7),t2tb1(sK0))) = tb2t(nth1(int,X7,t2tb1(sK1))) | $less(X7,0)))),
2.99/0.81	  introduced(choice_axiom,[])).
2.99/0.81	tff(f133,plain,(
2.99/0.81	  ? [X3 : $int] : ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & ($less(sK2,0) | ~zero_at1(sK0,sK2) | ~$less(sK2,length1(int,t2tb1(sK0)))) & 0 = X3 & ? [X5 : list_int,X4 : $int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1 & X3 = X4)) => ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & ($less(sK2,0) | ~zero_at1(sK0,sK2) | ~$less(sK2,length1(int,t2tb1(sK0)))) & 0 = sK3 & ? [X5 : list_int,X4 : $int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1 & sK3 = X4))),
2.99/0.81	  introduced(choice_axiom,[])).
2.99/0.81	tff(f134,plain,(
2.99/0.81	  ? [X5 : list_int,X4 : $int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1 & sK3 = X4) => (sK1 = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) & sK3 = sK4)),
2.99/0.81	  introduced(choice_axiom,[])).
2.99/0.81	tff(f131,plain,(
2.99/0.81	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X3 : $int] : ((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & ($less(X2,0) | ~zero_at1(X0,X2) | ~$less(X2,length1(int,t2tb1(X0)))) & 0 = X3 & ? [X4 : $int,X5 : list_int] : (tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1 & X3 = X4)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) & ! [X6 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,t2tb1(X0))) | $less(X6,0) | ~$less(X6,X2)) & ! [X7 : $int] : (tb2t(nth1(int,$sum(X2,X7),t2tb1(X0))) = tb2t(nth1(int,X7,t2tb1(X1))) | $less(X7,0)))),
2.99/0.81	  inference(rectify,[],[f111])).
2.99/0.81	tff(f111,plain,(
2.99/0.81	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X5 : $int] : ((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & ($less(X2,0) | ~zero_at1(X0,X2) | ~$less(X2,length1(int,t2tb1(X0)))) & 0 = X5 & ? [X6 : $int,X7 : list_int] : (tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 & X5 = X6)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) & ! [X3 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) | $less(X3,0) | ~$less(X3,X2)) & ! [X4 : $int] : (tb2t(nth1(int,$sum(X2,X4),t2tb1(X0))) = tb2t(nth1(int,X4,t2tb1(X1))) | $less(X4,0)))),
2.99/0.81	  inference(flattening,[],[f110])).
2.99/0.81	tff(f110,plain,(
2.99/0.81	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (((? [X5 : $int] : ((((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & ($less(X2,0) | ~zero_at1(X0,X2) | ~$less(X2,length1(int,t2tb1(X0))))) & 0 = X5) & ? [X6 : $int,X7 : list_int] : (tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 & X5 = X6)) & tb2t1(nil(int)) != X1) & tb2t1(nil(int)) != X1) & (~$less(X2,0) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) & ! [X3 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) | ($less(X3,0) | ~$less(X3,X2))) & ! [X4 : $int] : (tb2t(nth1(int,$sum(X2,X4),t2tb1(X0))) = tb2t(nth1(int,X4,t2tb1(X1))) | $less(X4,0))))),
2.99/0.81	  inference(ennf_transformation,[],[f61])).
2.99/0.81	tff(f61,plain,(
2.99/0.81	  ~! [X0 : list_int,X1 : list_int,X2 : $int] : ((~$less(X2,0) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) & ! [X3 : $int] : ((~$less(X3,0) & $less(X3,X2)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0)))) & ! [X4 : $int] : (~$less(X4,0) => tb2t(nth1(int,$sum(X2,X4),t2tb1(X0))) = tb2t(nth1(int,X4,t2tb1(X1))))) => (tb2t1(nil(int)) != X1 => (tb2t1(nil(int)) != X1 => ! [X5 : $int] : (? [X6 : $int,X7 : list_int] : (tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 & X5 = X6) => (0 = X5 => ((no_zero1(X0) & length1(int,t2tb1(X0)) = X2) | (~$less(X2,0) & zero_at1(X0,X2) & $less(X2,length1(int,t2tb1(X0))))))))))),
2.99/0.81	  inference(rectify,[],[f55])).
2.99/0.81	tff(f55,plain,(
2.99/0.81	  ~! [X12 : list_int,X14 : list_int,X4 : $int] : ((~$less(X4,0) & length1(int,t2tb1(X12)) = $sum(X4,length1(int,t2tb1(X14))) & ! [X13 : $int] : ((~$less(X13,0) & $less(X13,X4)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X12)))) & ! [X13 : $int] : (~$less(X13,0) => tb2t(nth1(int,$sum(X4,X13),t2tb1(X12))) = tb2t(nth1(int,X13,t2tb1(X14))))) => (tb2t1(nil(int)) != X14 => (tb2t1(nil(int)) != X14 => ! [X15 : $int] : (? [X3 : $int,X5 : list_int] : (tb2t1(cons(int,t2tb2(X3),t2tb1(X5))) = X14 & X3 = X15) => (0 = X15 => ((no_zero1(X12) & length1(int,t2tb1(X12)) = X4) | (~$less(X4,0) & zero_at1(X12,X4) & $less(X4,length1(int,t2tb1(X12))))))))))),
2.99/0.81	  inference(theory_normalization,[],[f28])).
2.99/0.81	tff(f28,negated_conjecture,(
2.99/0.81	  ~! [X12 : list_int,X14 : list_int,X4 : $int] : (($lesseq(0,X4) & length1(int,t2tb1(X12)) = $sum(X4,length1(int,t2tb1(X14))) & ! [X13 : $int] : (($lesseq(0,X13) & $less(X13,X4)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X12)))) & ! [X13 : $int] : ($lesseq(0,X13) => tb2t(nth1(int,$sum(X4,X13),t2tb1(X12))) = tb2t(nth1(int,X13,t2tb1(X14))))) => (tb2t1(nil(int)) != X14 => (tb2t1(nil(int)) != X14 => ! [X15 : $int] : (? [X3 : $int,X5 : list_int] : (tb2t1(cons(int,t2tb2(X3),t2tb1(X5))) = X14 & X3 = X15) => (0 = X15 => ((no_zero1(X12) & length1(int,t2tb1(X12)) = X4) | ($lesseq(0,X4) & zero_at1(X12,X4) & $less(X4,length1(int,t2tb1(X12))))))))))),
2.99/0.81	  inference(negated_conjecture,[],[f27])).
2.99/0.81	tff(f27,conjecture,(
2.99/0.81	  ! [X12 : list_int,X14 : list_int,X4 : $int] : (($lesseq(0,X4) & length1(int,t2tb1(X12)) = $sum(X4,length1(int,t2tb1(X14))) & ! [X13 : $int] : (($lesseq(0,X13) & $less(X13,X4)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X12)))) & ! [X13 : $int] : ($lesseq(0,X13) => tb2t(nth1(int,$sum(X4,X13),t2tb1(X12))) = tb2t(nth1(int,X13,t2tb1(X14))))) => (tb2t1(nil(int)) != X14 => (tb2t1(nil(int)) != X14 => ! [X15 : $int] : (? [X3 : $int,X5 : list_int] : (tb2t1(cons(int,t2tb2(X3),t2tb1(X5))) = X14 & X3 = X15) => (0 = X15 => ((no_zero1(X12) & length1(int,t2tb1(X12)) = X4) | ($lesseq(0,X4) & zero_at1(X12,X4) & $less(X4,length1(int,t2tb1(X12))))))))))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_search_loop)).
2.99/0.81	tff(f803,plain,(
2.99/0.81	  spl8_51 | spl8_35 | ~spl8_19),
2.99/0.81	  inference(avatar_split_clause,[],[f519,f367,f555,f800])).
2.99/0.81	tff(f555,plain,(
2.99/0.81	  spl8_35 <=> zero_at1(sK0,$sum(sK2,0))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_35])])).
2.99/0.81	tff(f367,plain,(
2.99/0.81	  spl8_19 <=> some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK1))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_19])])).
2.99/0.81	tff(f519,plain,(
2.99/0.81	  zero_at1(sK0,$sum(sK2,0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,0)),t2tb1(sK0))) | ~spl8_19),
2.99/0.81	  inference(evaluation,[],[f518])).
2.99/0.81	tff(f518,plain,(
2.99/0.81	  zero_at1(sK0,$sum(sK2,0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,0)),t2tb1(sK0))) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(trivial_inequality_removal,[],[f512])).
2.99/0.81	tff(f512,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK0,$sum(sK2,0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,0)),t2tb1(sK0))) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(superposition,[],[f314,f369])).
2.99/0.81	tff(f369,plain,(
2.99/0.81	  some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK1)) | ~spl8_19),
2.99/0.81	  inference(avatar_component_clause,[],[f367])).
2.99/0.81	tff(f314,plain,(
2.99/0.81	  ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK1))) | zero_at1(sK0,$sum(sK2,X2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,X2)),t2tb1(sK0))) | $less(X2,0)) )),
2.99/0.81	  inference(superposition,[],[f196,f141])).
2.99/0.81	tff(f141,plain,(
2.99/0.81	  ( ! [X7:$int] : (tb2t(nth1(int,$sum(sK2,X7),t2tb1(sK0))) = tb2t(nth1(int,X7,t2tb1(sK1))) | $less(X7,0)) )),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f196,plain,(
2.99/0.81	  ( ! [X0:list_int,X1:$int] : (zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0)))) )),
2.99/0.81	  inference(cnf_transformation,[],[f139])).
2.99/0.81	tff(f139,plain,(
2.99/0.81	  ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & $less(sK7(X0,X1),X1) & ~$less(sK7(X0,X1),0)))),
2.99/0.81	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f121,f138])).
2.99/0.81	tff(f138,plain,(
2.99/0.81	  ! [X1 : $int,X0 : list_int] : (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,X1) & ~$less(X2,0)) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & $less(sK7(X0,X1),X1) & ~$less(sK7(X0,X1),0)))),
2.99/0.81	  introduced(choice_axiom,[])).
2.99/0.81	tff(f121,plain,(
2.99/0.81	  ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,X1) & ~$less(X2,0)))),
2.99/0.81	  inference(flattening,[],[f120])).
2.99/0.81	tff(f120,plain,(
2.99/0.81	  ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ($less(X2,X1) & ~$less(X2,0)))))),
2.99/0.81	  inference(ennf_transformation,[],[f109])).
2.99/0.81	tff(f109,plain,(
2.99/0.81	  ! [X0 : list_int,X1 : $int] : ((tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & ! [X2 : $int] : (($less(X2,X1) & ~$less(X2,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))))) => zero_at1(X0,X1))),
2.99/0.81	  inference(unused_predicate_definition_removal,[],[f93])).
2.99/0.81	tff(f93,plain,(
2.99/0.81	  ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) <=> (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & ! [X2 : $int] : (($less(X2,X1) & ~$less(X2,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))))))),
2.99/0.81	  inference(rectify,[],[f59])).
2.99/0.81	tff(f59,plain,(
2.99/0.81	  ! [X12 : list_int,X4 : $int] : (zero_at1(X12,X4) <=> (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X4,t2tb1(X12))) & ! [X13 : $int] : (($less(X13,X4) & ~$less(X13,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X12))))))),
2.99/0.81	  inference(theory_normalization,[],[f52])).
2.99/0.81	tff(f52,axiom,(
2.99/0.81	  ! [X12 : list_int,X4 : $int] : (zero_at1(X12,X4) <=> (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X4,t2tb1(X12))) & ! [X13 : $int] : (($less(X13,X4) & $lesseq(0,X13)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X12))))))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_at_def)).
2.99/0.81	tff(f795,plain,(
2.99/0.81	  ~spl8_48 | spl8_49 | ~spl8_50 | ~spl8_26),
2.99/0.81	  inference(avatar_split_clause,[],[f437,f433,f792,f788,f784])).
2.99/0.81	tff(f784,plain,(
2.99/0.81	  spl8_48 <=> $less(sK7(sK1,length1(int,t2tb1(sK1))),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_48])])).
2.99/0.81	tff(f788,plain,(
2.99/0.81	  spl8_49 <=> zero_at1(sK1,length1(int,t2tb1(sK1)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_49])])).
2.99/0.81	tff(f792,plain,(
2.99/0.81	  spl8_50 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_50])])).
2.99/0.81	tff(f433,plain,(
2.99/0.81	  spl8_26 <=> tb2t(nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_26])])).
2.99/0.81	tff(f437,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | zero_at1(sK1,length1(int,t2tb1(sK1))) | ~$less(sK7(sK1,length1(int,t2tb1(sK1))),0) | ~spl8_26),
2.99/0.81	  inference(superposition,[],[f194,f435])).
2.99/0.81	tff(f435,plain,(
2.99/0.81	  tb2t(nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_26),
2.99/0.81	  inference(avatar_component_clause,[],[f433])).
2.99/0.81	tff(f194,plain,(
2.99/0.81	  ( ! [X0:list_int,X1:$int] : (zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ~$less(sK7(X0,X1),0)) )),
2.99/0.81	  inference(cnf_transformation,[],[f139])).
2.99/0.81	tff(f698,plain,(
2.99/0.81	  spl8_7 | spl8_47),
2.99/0.81	  inference(avatar_split_clause,[],[f697,f692,f254])).
2.99/0.81	tff(f254,plain,(
2.99/0.81	  spl8_7 <=> no_zero1(sK0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
2.99/0.81	tff(f692,plain,(
2.99/0.81	  spl8_47 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK0),t2tb1(sK0)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_47])])).
2.99/0.81	tff(f697,plain,(
2.99/0.81	  no_zero1(sK0) | spl8_47),
2.99/0.81	  inference(trivial_inequality_removal,[],[f696])).
2.99/0.81	tff(f696,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | no_zero1(sK0) | spl8_47),
2.99/0.81	  inference(superposition,[],[f694,f175])).
2.99/0.81	tff(f175,plain,(
2.99/0.81	  ( ! [X0:list_int] : (no_zero1(X0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0)))) )),
2.99/0.81	  inference(cnf_transformation,[],[f137])).
2.99/0.81	tff(f137,plain,(
2.99/0.81	  ! [X0 : list_int] : (no_zero1(X0) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & $less(sK6(X0),length1(int,t2tb1(X0))) & ~$less(sK6(X0),0)))),
2.99/0.81	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f113,f136])).
2.99/0.81	tff(f136,plain,(
2.99/0.81	  ! [X0 : list_int] : (? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & $less(X1,length1(int,t2tb1(X0))) & ~$less(X1,0)) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & $less(sK6(X0),length1(int,t2tb1(X0))) & ~$less(sK6(X0),0)))),
2.99/0.81	  introduced(choice_axiom,[])).
2.99/0.81	tff(f113,plain,(
2.99/0.81	  ! [X0 : list_int] : (no_zero1(X0) | ? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & $less(X1,length1(int,t2tb1(X0))) & ~$less(X1,0)))),
2.99/0.81	  inference(flattening,[],[f112])).
2.99/0.81	tff(f112,plain,(
2.99/0.81	  ! [X0 : list_int] : (no_zero1(X0) | ? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & ($less(X1,length1(int,t2tb1(X0))) & ~$less(X1,0))))),
2.99/0.81	  inference(ennf_transformation,[],[f108])).
2.99/0.81	tff(f108,plain,(
2.99/0.81	  ! [X0 : list_int] : (! [X1 : $int] : (($less(X1,length1(int,t2tb1(X0))) & ~$less(X1,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) => no_zero1(X0))),
2.99/0.81	  inference(unused_predicate_definition_removal,[],[f76])).
2.99/0.81	tff(f76,plain,(
2.99/0.81	  ! [X0 : list_int] : (! [X1 : $int] : (($less(X1,length1(int,t2tb1(X0))) & ~$less(X1,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) <=> no_zero1(X0))),
2.99/0.81	  inference(rectify,[],[f56])).
2.99/0.81	tff(f56,plain,(
2.99/0.81	  ! [X12 : list_int] : (! [X13 : $int] : (($less(X13,length1(int,t2tb1(X12))) & ~$less(X13,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X12)))) <=> no_zero1(X12))),
2.99/0.81	  inference(theory_normalization,[],[f21])).
2.99/0.81	tff(f21,axiom,(
2.99/0.81	  ! [X12 : list_int] : (! [X13 : $int] : (($less(X13,length1(int,t2tb1(X12))) & $lesseq(0,X13)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X13,t2tb1(X12)))) <=> no_zero1(X12))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_zero_def)).
2.99/0.81	tff(f694,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK0),t2tb1(sK0))) | spl8_47),
2.99/0.81	  inference(avatar_component_clause,[],[f692])).
2.99/0.81	tff(f695,plain,(
2.99/0.81	  ~spl8_47 | spl8_45 | ~spl8_44),
2.99/0.81	  inference(avatar_split_clause,[],[f682,f669,f673,f692])).
2.99/0.81	tff(f673,plain,(
2.99/0.81	  spl8_45 <=> zero_at1(sK0,sK6(sK0))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_45])])).
2.99/0.81	tff(f669,plain,(
2.99/0.81	  spl8_44 <=> $less(sK7(sK0,sK6(sK0)),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_44])])).
2.99/0.81	tff(f682,plain,(
2.99/0.81	  zero_at1(sK0,sK6(sK0)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK6(sK0),t2tb1(sK0))) | ~spl8_44),
2.99/0.81	  inference(resolution,[],[f671,f194])).
2.99/0.81	tff(f671,plain,(
2.99/0.81	  $less(sK7(sK0,sK6(sK0)),0) | ~spl8_44),
2.99/0.81	  inference(avatar_component_clause,[],[f669])).
2.99/0.81	tff(f681,plain,(
2.99/0.81	  spl8_40 | ~spl8_41),
2.99/0.81	  inference(avatar_split_clause,[],[f666,f654,f650])).
2.99/0.81	tff(f650,plain,(
2.99/0.81	  spl8_40 <=> no_zero1(sK1)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_40])])).
2.99/0.81	tff(f654,plain,(
2.99/0.81	  spl8_41 <=> $less(sK6(sK1),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_41])])).
2.99/0.81	tff(f666,plain,(
2.99/0.81	  no_zero1(sK1) | ~spl8_41),
2.99/0.81	  inference(resolution,[],[f656,f173])).
2.99/0.81	tff(f173,plain,(
2.99/0.81	  ( ! [X0:list_int] : (no_zero1(X0) | ~$less(sK6(X0),0)) )),
2.99/0.81	  inference(cnf_transformation,[],[f137])).
2.99/0.81	tff(f656,plain,(
2.99/0.81	  $less(sK6(sK1),0) | ~spl8_41),
2.99/0.81	  inference(avatar_component_clause,[],[f654])).
2.99/0.81	tff(f680,plain,(
2.99/0.81	  spl8_7 | spl8_44 | spl8_45 | ~spl8_46),
2.99/0.81	  inference(avatar_split_clause,[],[f474,f677,f673,f669,f254])).
2.99/0.81	tff(f677,plain,(
2.99/0.81	  spl8_46 <=> $less(sK7(sK0,sK6(sK0)),sK2)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_46])])).
2.99/0.81	tff(f474,plain,(
2.99/0.81	  ~$less(sK7(sK0,sK6(sK0)),sK2) | zero_at1(sK0,sK6(sK0)) | $less(sK7(sK0,sK6(sK0)),0) | no_zero1(sK0)),
2.99/0.81	  inference(trivial_inequality_removal,[],[f471])).
2.99/0.81	tff(f471,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK6(sK0)),sK2) | zero_at1(sK0,sK6(sK0)) | $less(sK7(sK0,sK6(sK0)),0) | no_zero1(sK0)),
2.99/0.81	  inference(superposition,[],[f325,f175])).
2.99/0.81	tff(f325,plain,(
2.99/0.81	  ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK0))) | ~$less(sK7(sK0,X1),sK2) | zero_at1(sK0,X1) | $less(sK7(sK0,X1),0)) )),
2.99/0.81	  inference(trivial_inequality_removal,[],[f324])).
2.99/0.81	tff(f324,plain,(
2.99/0.81	  ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,X1),0) | ~$less(sK7(sK0,X1),sK2) | zero_at1(sK0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK0)))) )),
2.99/0.81	  inference(superposition,[],[f142,f196])).
2.99/0.81	tff(f665,plain,(
2.99/0.81	  spl8_40 | spl8_41 | ~spl8_42 | spl8_43),
2.99/0.81	  inference(avatar_split_clause,[],[f461,f662,f658,f654,f650])).
2.99/0.81	tff(f658,plain,(
2.99/0.81	  spl8_42 <=> $less($sum(sK2,sK6(sK1)),sK2)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_42])])).
2.99/0.81	tff(f662,plain,(
2.99/0.81	  spl8_43 <=> $less($sum(sK2,sK6(sK1)),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_43])])).
2.99/0.81	tff(f461,plain,(
2.99/0.81	  $less($sum(sK2,sK6(sK1)),0) | ~$less($sum(sK2,sK6(sK1)),sK2) | $less(sK6(sK1),0) | no_zero1(sK1)),
2.99/0.81	  inference(trivial_inequality_removal,[],[f458])).
2.99/0.81	tff(f458,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK2,sK6(sK1)),0) | ~$less($sum(sK2,sK6(sK1)),sK2) | $less(sK6(sK1),0) | no_zero1(sK1)),
2.99/0.81	  inference(superposition,[],[f322,f175])).
2.99/0.81	tff(f322,plain,(
2.99/0.81	  ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | $less($sum(sK2,X0),0) | ~$less($sum(sK2,X0),sK2) | $less(X0,0)) )),
2.99/0.81	  inference(superposition,[],[f142,f141])).
2.99/0.81	tff(f636,plain,(
2.99/0.81	  spl8_38),
2.99/0.81	  inference(avatar_contradiction_clause,[],[f635])).
2.99/0.81	tff(f635,plain,(
2.99/0.81	  $false | spl8_38),
2.99/0.81	  inference(resolution,[],[f613,f163])).
2.99/0.81	tff(f163,plain,(
2.99/0.81	  ( ! [X0:list_int] : (sort1(list(int),t2tb1(X0))) )),
2.99/0.81	  inference(cnf_transformation,[],[f71])).
2.99/0.81	tff(f71,plain,(
2.99/0.81	  ! [X0 : list_int] : sort1(list(int),t2tb1(X0))),
2.99/0.81	  inference(rectify,[],[f30])).
2.99/0.81	tff(f30,axiom,(
2.99/0.81	  ! [X3 : list_int] : sort1(list(int),t2tb1(X3))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort4)).
2.99/0.81	tff(f613,plain,(
2.99/0.81	  ~sort1(list(int),t2tb1(sK5)) | spl8_38),
2.99/0.81	  inference(avatar_component_clause,[],[f611])).
2.99/0.81	tff(f611,plain,(
2.99/0.81	  spl8_38 <=> sort1(list(int),t2tb1(sK5))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_38])])).
2.99/0.81	tff(f618,plain,(
2.99/0.81	  ~spl8_38 | spl8_39 | ~spl8_18),
2.99/0.81	  inference(avatar_split_clause,[],[f379,f356,f615,f611])).
2.99/0.81	tff(f615,plain,(
2.99/0.81	  spl8_39 <=> t2tb1(sK5) = some_proj_11(list(int),tl(int,t2tb1(sK1)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_39])])).
2.99/0.81	tff(f356,plain,(
2.99/0.81	  spl8_18 <=> some(list(int),t2tb1(sK5)) = tl(int,t2tb1(sK1))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_18])])).
2.99/0.81	tff(f379,plain,(
2.99/0.81	  t2tb1(sK5) = some_proj_11(list(int),tl(int,t2tb1(sK1))) | ~sort1(list(int),t2tb1(sK5)) | ~spl8_18),
2.99/0.81	  inference(superposition,[],[f191,f358])).
2.99/0.81	tff(f358,plain,(
2.99/0.81	  some(list(int),t2tb1(sK5)) = tl(int,t2tb1(sK1)) | ~spl8_18),
2.99/0.81	  inference(avatar_component_clause,[],[f356])).
2.99/0.81	tff(f191,plain,(
2.99/0.81	  ( ! [X0:ty,X1:uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1)) )),
2.99/0.81	  inference(cnf_transformation,[],[f116])).
2.99/0.81	tff(f116,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1))),
2.99/0.81	  inference(ennf_transformation,[],[f90])).
2.99/0.81	tff(f90,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni] : (sort1(X0,X1) => some_proj_11(X0,some(X0,X1)) = X1)),
2.99/0.81	  inference(rectify,[],[f25])).
2.99/0.81	tff(f25,axiom,(
2.99/0.81	  ! [X0 : ty,X7 : uni] : (sort1(X0,X7) => some_proj_11(X0,some(X0,X7)) = X7)),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_proj_1_def1)).
2.99/0.81	tff(f609,plain,(
2.99/0.81	  spl8_37 | ~spl8_26),
2.99/0.81	  inference(avatar_split_clause,[],[f441,f433,f574])).
2.99/0.81	tff(f574,plain,(
2.99/0.81	  spl8_37 <=> nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1)) = nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_37])])).
2.99/0.81	tff(f441,plain,(
2.99/0.81	  nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1)) = nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) | ~spl8_26),
2.99/0.81	  inference(forward_demodulation,[],[f440,f157])).
2.99/0.81	tff(f157,plain,(
2.99/0.81	  ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )),
2.99/0.81	  inference(cnf_transformation,[],[f65])).
2.99/0.81	tff(f65,plain,(
2.99/0.81	  ! [X0 : uni] : t2tb(tb2t(X0)) = X0),
2.99/0.81	  inference(rectify,[],[f48])).
2.99/0.81	tff(f48,axiom,(
2.99/0.81	  ! [X13 : uni] : t2tb(tb2t(X13)) = X13),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)).
2.99/0.81	tff(f440,plain,(
2.99/0.81	  nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1)) = t2tb(tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)))) | ~spl8_26),
2.99/0.81	  inference(superposition,[],[f157,f435])).
2.99/0.81	tff(f580,plain,(
2.99/0.81	  ~spl8_25),
2.99/0.81	  inference(avatar_contradiction_clause,[],[f578])).
2.99/0.81	tff(f578,plain,(
2.99/0.81	  $false | ~spl8_25),
2.99/0.81	  inference(resolution,[],[f431,f176])).
2.99/0.81	tff(f176,plain,(
2.99/0.81	  ( ! [X0:ty,X1:uni] : (~$less(length1(X0,X1),0)) )),
2.99/0.81	  inference(cnf_transformation,[],[f77])).
2.99/0.81	tff(f77,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni] : ~$less(length1(X0,X1),0)),
2.99/0.81	  inference(rectify,[],[f57])).
2.99/0.81	tff(f57,plain,(
2.99/0.81	  ! [X0 : ty,X12 : uni] : ~$less(length1(X0,X12),0)),
2.99/0.81	  inference(theory_normalization,[],[f18])).
2.99/0.81	tff(f18,axiom,(
2.99/0.81	  ! [X0 : ty,X12 : uni] : $lesseq(0,length1(X0,X12))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative)).
2.99/0.81	tff(f431,plain,(
2.99/0.81	  $less(length1(int,t2tb1(sK1)),0) | ~spl8_25),
2.99/0.81	  inference(avatar_component_clause,[],[f429])).
2.99/0.81	tff(f429,plain,(
2.99/0.81	  spl8_25 <=> $less(length1(int,t2tb1(sK1)),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_25])])).
2.99/0.81	tff(f577,plain,(
2.99/0.81	  spl8_37 | ~spl8_26),
2.99/0.81	  inference(avatar_split_clause,[],[f441,f433,f574])).
2.99/0.81	tff(f571,plain,(
2.99/0.81	  spl8_36 | spl8_35 | ~spl8_19),
2.99/0.81	  inference(avatar_split_clause,[],[f509,f367,f555,f568])).
2.99/0.81	tff(f568,plain,(
2.99/0.81	  spl8_36 <=> $less(sK7(sK0,$sum(sK2,0)),$sum(sK2,0))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_36])])).
2.99/0.81	tff(f509,plain,(
2.99/0.81	  zero_at1(sK0,$sum(sK2,0)) | $less(sK7(sK0,$sum(sK2,0)),$sum(sK2,0)) | ~spl8_19),
2.99/0.81	  inference(evaluation,[],[f508])).
2.99/0.81	tff(f508,plain,(
2.99/0.81	  zero_at1(sK0,$sum(sK2,0)) | $less(sK7(sK0,$sum(sK2,0)),$sum(sK2,0)) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(trivial_inequality_removal,[],[f502])).
2.99/0.81	tff(f502,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK0,$sum(sK2,0)) | $less(sK7(sK0,$sum(sK2,0)),$sum(sK2,0)) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(superposition,[],[f313,f369])).
2.99/0.81	tff(f313,plain,(
2.99/0.81	  ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(sK1))) | zero_at1(sK0,$sum(sK2,X1)) | $less(sK7(sK0,$sum(sK2,X1)),$sum(sK2,X1)) | $less(X1,0)) )),
2.99/0.81	  inference(superposition,[],[f195,f141])).
2.99/0.81	tff(f195,plain,(
2.99/0.81	  ( ! [X0:list_int,X1:$int] : (zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | $less(sK7(X0,X1),X1)) )),
2.99/0.81	  inference(cnf_transformation,[],[f139])).
2.99/0.81	tff(f558,plain,(
2.99/0.81	  ~spl8_34 | spl8_35 | ~spl8_19),
2.99/0.81	  inference(avatar_split_clause,[],[f496,f367,f555,f551])).
2.99/0.81	tff(f496,plain,(
2.99/0.81	  zero_at1(sK0,$sum(sK2,0)) | ~$less(sK7(sK0,$sum(sK2,0)),0) | ~spl8_19),
2.99/0.81	  inference(evaluation,[],[f495])).
2.99/0.81	tff(f495,plain,(
2.99/0.81	  zero_at1(sK0,$sum(sK2,0)) | ~$less(sK7(sK0,$sum(sK2,0)),0) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(trivial_inequality_removal,[],[f489])).
2.99/0.81	tff(f489,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK0,$sum(sK2,0)) | ~$less(sK7(sK0,$sum(sK2,0)),0) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(superposition,[],[f312,f369])).
2.99/0.81	tff(f312,plain,(
2.99/0.81	  ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | zero_at1(sK0,$sum(sK2,X0)) | ~$less(sK7(sK0,$sum(sK2,X0)),0) | $less(X0,0)) )),
2.99/0.81	  inference(superposition,[],[f194,f141])).
2.99/0.81	tff(f542,plain,(
2.99/0.81	  ~spl8_33 | ~spl8_27 | spl8_32),
2.99/0.81	  inference(avatar_split_clause,[],[f537,f529,f443,f539])).
2.99/0.81	tff(f539,plain,(
2.99/0.81	  spl8_33 <=> 0 = length1(int,t2tb1(sK1))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_33])])).
2.99/0.81	tff(f443,plain,(
2.99/0.81	  spl8_27 <=> length1(int,t2tb1(sK1)) = $sum(1,length1(int,t2tb1(sK5)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_27])])).
2.99/0.81	tff(f529,plain,(
2.99/0.81	  spl8_32 <=> 0 = $sum(1,length1(int,t2tb1(sK5)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_32])])).
2.99/0.81	tff(f537,plain,(
2.99/0.81	  0 != length1(int,t2tb1(sK1)) | (~spl8_27 | spl8_32)),
2.99/0.81	  inference(superposition,[],[f531,f445])).
2.99/0.81	tff(f445,plain,(
2.99/0.81	  length1(int,t2tb1(sK1)) = $sum(1,length1(int,t2tb1(sK5))) | ~spl8_27),
2.99/0.81	  inference(avatar_component_clause,[],[f443])).
2.99/0.81	tff(f531,plain,(
2.99/0.81	  0 != $sum(1,length1(int,t2tb1(sK5))) | spl8_32),
2.99/0.81	  inference(avatar_component_clause,[],[f529])).
2.99/0.81	tff(f532,plain,(
2.99/0.81	  ~spl8_32 | spl8_5 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f527,f278,f242,f529])).
2.99/0.81	tff(f242,plain,(
2.99/0.81	  spl8_5 <=> tb2t1(nil(int)) = sK1),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
2.99/0.81	tff(f278,plain,(
2.99/0.81	  spl8_10 <=> t2tb1(sK1) = cons(int,t2tb2(0),t2tb1(sK5))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_10])])).
2.99/0.81	tff(f527,plain,(
2.99/0.81	  0 != $sum(1,length1(int,t2tb1(sK5))) | (spl8_5 | ~spl8_10)),
2.99/0.81	  inference(trivial_inequality_removal,[],[f526])).
2.99/0.81	tff(f526,plain,(
2.99/0.81	  sK1 != sK1 | 0 != $sum(1,length1(int,t2tb1(sK5))) | (spl8_5 | ~spl8_10)),
2.99/0.81	  inference(forward_demodulation,[],[f524,f158])).
2.99/0.81	tff(f158,plain,(
2.99/0.81	  ( ! [X0:list_int] : (tb2t1(t2tb1(X0)) = X0) )),
2.99/0.81	  inference(cnf_transformation,[],[f66])).
2.99/0.81	tff(f66,plain,(
2.99/0.81	  ! [X0 : list_int] : tb2t1(t2tb1(X0)) = X0),
2.99/0.81	  inference(rectify,[],[f22])).
2.99/0.81	tff(f22,axiom,(
2.99/0.81	  ! [X4 : list_int] : tb2t1(t2tb1(X4)) = X4),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)).
2.99/0.81	tff(f524,plain,(
2.99/0.81	  sK1 != tb2t1(t2tb1(sK1)) | 0 != $sum(1,length1(int,t2tb1(sK5))) | (spl8_5 | ~spl8_10)),
2.99/0.81	  inference(superposition,[],[f271,f280])).
2.99/0.81	tff(f280,plain,(
2.99/0.81	  t2tb1(sK1) = cons(int,t2tb2(0),t2tb1(sK5)) | ~spl8_10),
2.99/0.81	  inference(avatar_component_clause,[],[f278])).
2.99/0.81	tff(f271,plain,(
2.99/0.81	  ( ! [X0:uni,X1:uni] : (sK1 != tb2t1(cons(int,X0,X1)) | 0 != $sum(1,length1(int,X1))) ) | spl8_5),
2.99/0.81	  inference(superposition,[],[f247,f167])).
2.99/0.81	tff(f167,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X1:uni] : ($sum(1,length1(X0,X2)) = length1(X0,cons(X0,X1,X2))) )),
2.99/0.81	  inference(cnf_transformation,[],[f72])).
2.99/0.81	tff(f72,plain,(
2.99/0.81	  ! [X0 : ty] : (! [X1 : uni,X2 : uni] : $sum(1,length1(X0,X2)) = length1(X0,cons(X0,X1,X2)) & 0 = length1(X0,nil(X0)))),
2.99/0.81	  inference(rectify,[],[f39])).
2.99/0.81	tff(f39,axiom,(
2.99/0.81	  ! [X0 : ty] : (! [X3 : uni,X5 : uni] : $sum(1,length1(X0,X5)) = length1(X0,cons(X0,X3,X5)) & 0 = length1(X0,nil(X0)))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)).
2.99/0.81	tff(f247,plain,(
2.99/0.81	  ( ! [X0:uni] : (0 != length1(int,X0) | tb2t1(X0) != sK1) ) | spl8_5),
2.99/0.81	  inference(superposition,[],[f244,f198])).
2.99/0.81	tff(f198,plain,(
2.99/0.81	  ( ! [X0:ty,X1:uni] : (nil(X0) = X1 | 0 != length1(X0,X1)) )),
2.99/0.81	  inference(cnf_transformation,[],[f140])).
2.99/0.81	tff(f140,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni] : ((nil(X0) = X1 | 0 != length1(X0,X1)) & (0 = length1(X0,X1) | nil(X0) != X1))),
2.99/0.81	  inference(nnf_transformation,[],[f94])).
2.99/0.81	tff(f94,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni] : (nil(X0) = X1 <=> 0 = length1(X0,X1))),
2.99/0.81	  inference(rectify,[],[f38])).
2.99/0.81	tff(f38,axiom,(
2.99/0.81	  ! [X0 : ty,X12 : uni] : (nil(X0) = X12 <=> 0 = length1(X0,X12))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)).
2.99/0.81	tff(f244,plain,(
2.99/0.81	  tb2t1(nil(int)) != sK1 | spl8_5),
2.99/0.81	  inference(avatar_component_clause,[],[f242])).
2.99/0.81	tff(f486,plain,(
2.99/0.81	  ~spl8_30 | spl8_31 | ~spl8_19),
2.99/0.81	  inference(avatar_split_clause,[],[f463,f367,f483,f479])).
2.99/0.81	tff(f479,plain,(
2.99/0.81	  spl8_30 <=> $less($sum(sK2,0),sK2)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_30])])).
2.99/0.81	tff(f483,plain,(
2.99/0.81	  spl8_31 <=> $less($sum(sK2,0),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_31])])).
2.99/0.81	tff(f463,plain,(
2.99/0.81	  $less($sum(sK2,0),0) | ~$less($sum(sK2,0),sK2) | ~spl8_19),
2.99/0.81	  inference(evaluation,[],[f462])).
2.99/0.81	tff(f462,plain,(
2.99/0.81	  $less($sum(sK2,0),0) | ~$less($sum(sK2,0),sK2) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(trivial_inequality_removal,[],[f456])).
2.99/0.81	tff(f456,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less($sum(sK2,0),0) | ~$less($sum(sK2,0),sK2) | $less(0,0) | ~spl8_19),
2.99/0.81	  inference(superposition,[],[f322,f369])).
2.99/0.81	tff(f468,plain,(
2.99/0.81	  spl8_28),
2.99/0.81	  inference(avatar_contradiction_clause,[],[f466])).
2.99/0.81	tff(f466,plain,(
2.99/0.81	  $false | spl8_28),
2.99/0.81	  inference(resolution,[],[f450,f155])).
2.99/0.81	tff(f155,plain,(
2.99/0.81	  ( ! [X0:$int] : (sort1(int,t2tb2(X0))) )),
2.99/0.81	  inference(cnf_transformation,[],[f63])).
2.99/0.81	tff(f63,plain,(
2.99/0.81	  ! [X0 : $int] : sort1(int,t2tb2(X0))),
2.99/0.81	  inference(rectify,[],[f49])).
2.99/0.81	tff(f49,axiom,(
2.99/0.81	  ! [X3 : $int] : sort1(int,t2tb2(X3))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort5)).
2.99/0.81	tff(f450,plain,(
2.99/0.81	  ~sort1(int,t2tb2(0)) | spl8_28),
2.99/0.81	  inference(avatar_component_clause,[],[f448])).
2.99/0.81	tff(f448,plain,(
2.99/0.81	  spl8_28 <=> sort1(int,t2tb2(0))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_28])])).
2.99/0.81	tff(f455,plain,(
2.99/0.81	  ~spl8_28 | spl8_29 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f289,f278,f452,f448])).
2.99/0.81	tff(f452,plain,(
2.99/0.81	  spl8_29 <=> t2tb2(0) = cons_proj_11(int,t2tb1(sK1))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_29])])).
2.99/0.81	tff(f289,plain,(
2.99/0.81	  t2tb2(0) = cons_proj_11(int,t2tb1(sK1)) | ~sort1(int,t2tb2(0)) | ~spl8_10),
2.99/0.81	  inference(superposition,[],[f206,f280])).
2.99/0.81	tff(f206,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1)) )),
2.99/0.81	  inference(cnf_transformation,[],[f126])).
2.99/0.81	tff(f126,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1))),
2.99/0.81	  inference(ennf_transformation,[],[f100])).
2.99/0.81	tff(f100,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X1) => cons_proj_11(X0,cons(X0,X1,X2)) = X1)),
2.99/0.81	  inference(rectify,[],[f8])).
2.99/0.81	tff(f8,axiom,(
2.99/0.81	  ! [X0 : ty,X7 : uni,X8 : uni] : (sort1(X0,X7) => cons_proj_11(X0,cons(X0,X7,X8)) = X7)),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_def1)).
2.99/0.81	tff(f446,plain,(
2.99/0.81	  spl8_27 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f283,f278,f443])).
2.99/0.81	tff(f283,plain,(
2.99/0.81	  length1(int,t2tb1(sK1)) = $sum(1,length1(int,t2tb1(sK5))) | ~spl8_10),
2.99/0.81	  inference(superposition,[],[f167,f280])).
2.99/0.81	tff(f436,plain,(
2.99/0.81	  spl8_25 | spl8_26 | ~spl8_9),
2.99/0.81	  inference(avatar_split_clause,[],[f311,f267,f433,f429])).
2.99/0.81	tff(f267,plain,(
2.99/0.81	  spl8_9 <=> length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_9])])).
2.99/0.81	tff(f311,plain,(
2.99/0.81	  tb2t(nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | $less(length1(int,t2tb1(sK1)),0) | ~spl8_9),
2.99/0.81	  inference(superposition,[],[f141,f269])).
2.99/0.81	tff(f269,plain,(
2.99/0.81	  length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1))) | ~spl8_9),
2.99/0.81	  inference(avatar_component_clause,[],[f267])).
2.99/0.81	tff(f426,plain,(
2.99/0.81	  spl8_24 | ~spl8_19 | ~spl8_23),
2.99/0.81	  inference(avatar_split_clause,[],[f416,f405,f367,f409])).
2.99/0.81	tff(f409,plain,(
2.99/0.81	  spl8_24 <=> zero_at1(sK1,0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_24])])).
2.99/0.81	tff(f405,plain,(
2.99/0.81	  spl8_23 <=> $less(sK7(sK1,0),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_23])])).
2.99/0.81	tff(f416,plain,(
2.99/0.81	  zero_at1(sK1,0) | (~spl8_19 | ~spl8_23)),
2.99/0.81	  inference(trivial_inequality_removal,[],[f415])).
2.99/0.81	tff(f415,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK1,0) | (~spl8_19 | ~spl8_23)),
2.99/0.81	  inference(forward_demodulation,[],[f413,f369])).
2.99/0.81	tff(f413,plain,(
2.99/0.81	  zero_at1(sK1,0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~spl8_23),
2.99/0.81	  inference(resolution,[],[f407,f194])).
2.99/0.81	tff(f407,plain,(
2.99/0.81	  $less(sK7(sK1,0),0) | ~spl8_23),
2.99/0.81	  inference(avatar_component_clause,[],[f405])).
2.99/0.81	tff(f412,plain,(
2.99/0.81	  spl8_23 | spl8_24 | ~spl8_19),
2.99/0.81	  inference(avatar_split_clause,[],[f402,f367,f409,f405])).
2.99/0.81	tff(f402,plain,(
2.99/0.81	  zero_at1(sK1,0) | $less(sK7(sK1,0),0) | ~spl8_19),
2.99/0.81	  inference(trivial_inequality_removal,[],[f398])).
2.99/0.81	tff(f398,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | zero_at1(sK1,0) | $less(sK7(sK1,0),0) | ~spl8_19),
2.99/0.81	  inference(superposition,[],[f195,f369])).
2.99/0.81	tff(f395,plain,(
2.99/0.81	  ~spl8_21 | ~spl8_22 | spl8_13),
2.99/0.81	  inference(avatar_split_clause,[],[f308,f304,f392,f388])).
2.99/0.81	tff(f388,plain,(
2.99/0.81	  spl8_21 <=> $less(sK7(sK0,sK2),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_21])])).
2.99/0.81	tff(f392,plain,(
2.99/0.81	  spl8_22 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK2,t2tb1(sK0)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_22])])).
2.99/0.81	tff(f304,plain,(
2.99/0.81	  spl8_13 <=> zero_at1(sK0,sK2)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_13])])).
2.99/0.81	tff(f308,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,sK2,t2tb1(sK0))) | ~$less(sK7(sK0,sK2),0) | spl8_13),
2.99/0.81	  inference(resolution,[],[f306,f194])).
2.99/0.81	tff(f306,plain,(
2.99/0.81	  ~zero_at1(sK0,sK2) | spl8_13),
2.99/0.81	  inference(avatar_component_clause,[],[f304])).
2.99/0.81	tff(f386,plain,(
2.99/0.81	  ~spl8_20 | ~spl8_18),
2.99/0.81	  inference(avatar_split_clause,[],[f381,f356,f383])).
2.99/0.81	tff(f383,plain,(
2.99/0.81	  spl8_20 <=> tl(int,t2tb1(sK1)) = none(list(int))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_20])])).
2.99/0.81	tff(f381,plain,(
2.99/0.81	  tl(int,t2tb1(sK1)) != none(list(int)) | ~spl8_18),
2.99/0.81	  inference(superposition,[],[f180,f358])).
2.99/0.81	tff(f180,plain,(
2.99/0.81	  ( ! [X0:ty,X1:uni] : (none(X0) != some(X0,X1)) )),
2.99/0.81	  inference(cnf_transformation,[],[f81])).
2.99/0.81	tff(f81,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni] : none(X0) != some(X0,X1)),
2.99/0.81	  inference(rectify,[],[f50])).
2.99/0.81	tff(f50,axiom,(
2.99/0.81	  ! [X0 : ty,X10 : uni] : none(X0) != some(X0,X10)),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',none_Some1)).
2.99/0.81	tff(f370,plain,(
2.99/0.81	  spl8_19 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f291,f278,f367])).
2.99/0.81	tff(f291,plain,(
2.99/0.81	  some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK1)) | ~spl8_10),
2.99/0.81	  inference(superposition,[],[f214,f280])).
2.99/0.81	tff(f214,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X3:uni] : (some(X0,X2) = nth1(X0,0,cons(X0,X2,X3))) )),
2.99/0.81	  inference(equality_resolution,[],[f188])).
2.99/0.81	tff(f188,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3)) | 0 != X1) )),
2.99/0.81	  inference(cnf_transformation,[],[f114])).
2.99/0.81	tff(f114,plain,(
2.99/0.81	  ! [X0 : ty,X1 : $int] : (! [X2 : uni,X3 : uni] : ((some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3)) | 0 != X1) & (nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) | 0 = X1)) & none(X0) = nth1(X0,X1,nil(X0)))),
2.99/0.81	  inference(ennf_transformation,[],[f87])).
2.99/0.81	tff(f87,plain,(
2.99/0.81	  ! [X0 : ty,X1 : $int] : (! [X2 : uni,X3 : uni] : ((0 = X1 => some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3))) & (0 != X1 => nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3))) & none(X0) = nth1(X0,X1,nil(X0)))),
2.99/0.81	  inference(rectify,[],[f58])).
2.99/0.81	tff(f58,plain,(
2.99/0.81	  ! [X0 : ty,X16 : $int] : (! [X3 : uni,X5 : uni] : ((0 = X16 => some(X0,X3) = nth1(X0,X16,cons(X0,X3,X5))) & (0 != X16 => nth1(X0,X16,cons(X0,X3,X5)) = nth1(X0,$sum(X16,$uminus(1)),X5))) & none(X0) = nth1(X0,X16,nil(X0)))),
2.99/0.81	  inference(theory_normalization,[],[f35])).
2.99/0.81	tff(f35,axiom,(
2.99/0.81	  ! [X0 : ty,X16 : $int] : (! [X3 : uni,X5 : uni] : ((0 = X16 => some(X0,X3) = nth1(X0,X16,cons(X0,X3,X5))) & (0 != X16 => nth1(X0,X16,cons(X0,X3,X5)) = nth1(X0,$difference(X16,1),X5))) & none(X0) = nth1(X0,X16,nil(X0)))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nth_def)).
2.99/0.81	tff(f359,plain,(
2.99/0.81	  spl8_18 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f285,f278,f356])).
2.99/0.81	tff(f285,plain,(
2.99/0.81	  some(list(int),t2tb1(sK5)) = tl(int,t2tb1(sK1)) | ~spl8_10),
2.99/0.81	  inference(superposition,[],[f170,f280])).
2.99/0.81	tff(f170,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X1:uni] : (tl(X0,cons(X0,X1,X2)) = some(list(X0),X2)) )),
2.99/0.81	  inference(cnf_transformation,[],[f74])).
2.99/0.81	tff(f74,plain,(
2.99/0.81	  ! [X0 : ty] : (tl(X0,nil(X0)) = none(list(X0)) & ! [X1 : uni,X2 : uni] : tl(X0,cons(X0,X1,X2)) = some(list(X0),X2))),
2.99/0.81	  inference(rectify,[],[f45])).
2.99/0.81	tff(f45,axiom,(
2.99/0.81	  ! [X0 : ty] : (tl(X0,nil(X0)) = none(list(X0)) & ! [X3 : uni,X5 : uni] : tl(X0,cons(X0,X3,X5)) = some(list(X0),X5))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tl_def)).
2.99/0.81	tff(f350,plain,(
2.99/0.81	  spl8_7 | ~spl8_17),
2.99/0.81	  inference(avatar_split_clause,[],[f347,f343,f254])).
2.99/0.81	tff(f343,plain,(
2.99/0.81	  spl8_17 <=> $less(sK6(sK0),0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_17])])).
2.99/0.81	tff(f347,plain,(
2.99/0.81	  no_zero1(sK0) | ~spl8_17),
2.99/0.81	  inference(resolution,[],[f345,f173])).
2.99/0.81	tff(f345,plain,(
2.99/0.81	  $less(sK6(sK0),0) | ~spl8_17),
2.99/0.81	  inference(avatar_component_clause,[],[f343])).
2.99/0.81	tff(f346,plain,(
2.99/0.81	  spl8_7 | ~spl8_16 | spl8_17),
2.99/0.81	  inference(avatar_split_clause,[],[f326,f343,f339,f254])).
2.99/0.81	tff(f339,plain,(
2.99/0.81	  spl8_16 <=> $less(sK6(sK0),sK2)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_16])])).
2.99/0.81	tff(f326,plain,(
2.99/0.81	  $less(sK6(sK0),0) | ~$less(sK6(sK0),sK2) | no_zero1(sK0)),
2.99/0.81	  inference(trivial_inequality_removal,[],[f323])).
2.99/0.81	tff(f323,plain,(
2.99/0.81	  tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK0),0) | ~$less(sK6(sK0),sK2) | no_zero1(sK0)),
2.99/0.81	  inference(superposition,[],[f142,f175])).
2.99/0.81	tff(f333,plain,(
2.99/0.81	  spl8_15 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f284,f278,f330])).
2.99/0.81	tff(f330,plain,(
2.99/0.81	  spl8_15 <=> some(int,t2tb2(0)) = hd(int,t2tb1(sK1))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_15])])).
2.99/0.81	tff(f284,plain,(
2.99/0.81	  some(int,t2tb2(0)) = hd(int,t2tb1(sK1)) | ~spl8_10),
2.99/0.81	  inference(superposition,[],[f168,f280])).
2.99/0.81	tff(f168,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X1:uni] : (some(X0,X1) = hd(X0,cons(X0,X1,X2))) )),
2.99/0.81	  inference(cnf_transformation,[],[f73])).
2.99/0.81	tff(f73,plain,(
2.99/0.81	  ! [X0 : ty] : (none(X0) = hd(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : some(X0,X1) = hd(X0,cons(X0,X1,X2)))),
2.99/0.81	  inference(rectify,[],[f34])).
2.99/0.81	tff(f34,axiom,(
2.99/0.81	  ! [X0 : ty] : (none(X0) = hd(X0,nil(X0)) & ! [X3 : uni,X5 : uni] : some(X0,X3) = hd(X0,cons(X0,X3,X5)))),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hd_def)).
2.99/0.81	tff(f321,plain,(
2.99/0.81	  spl8_14 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f288,f278,f318])).
2.99/0.81	tff(f318,plain,(
2.99/0.81	  spl8_14 <=> t2tb1(sK5) = cons_proj_21(int,t2tb1(sK1))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_14])])).
2.99/0.81	tff(f288,plain,(
2.99/0.81	  t2tb1(sK5) = cons_proj_21(int,t2tb1(sK1)) | ~spl8_10),
2.99/0.81	  inference(superposition,[],[f202,f280])).
2.99/0.81	tff(f202,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_21(X0,cons(X0,X1,X2)) = X2) )),
2.99/0.81	  inference(cnf_transformation,[],[f98])).
2.99/0.81	tff(f98,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_21(X0,cons(X0,X1,X2)) = X2),
2.99/0.81	  inference(rectify,[],[f17])).
2.99/0.81	tff(f17,axiom,(
2.99/0.81	  ! [X0 : ty,X7 : uni,X8 : uni] : cons_proj_21(X0,cons(X0,X7,X8)) = X8),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def1)).
2.99/0.81	tff(f307,plain,(
2.99/0.81	  ~spl8_12 | ~spl8_13),
2.99/0.81	  inference(avatar_split_clause,[],[f293,f304,f300])).
2.99/0.81	tff(f300,plain,(
2.99/0.81	  spl8_12 <=> $less(sK2,length1(int,t2tb1(sK0)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_12])])).
2.99/0.81	tff(f293,plain,(
2.99/0.81	  ~zero_at1(sK0,sK2) | ~$less(sK2,length1(int,t2tb1(sK0)))),
2.99/0.81	  inference(global_subsumption,[],[f144,f150])).
2.99/0.81	tff(f150,plain,(
2.99/0.81	  $less(sK2,0) | ~zero_at1(sK0,sK2) | ~$less(sK2,length1(int,t2tb1(sK0)))),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f144,plain,(
2.99/0.81	  ~$less(sK2,0)),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f298,plain,(
2.99/0.81	  ~spl8_11 | ~spl8_10),
2.99/0.81	  inference(avatar_split_clause,[],[f286,f278,f295])).
2.99/0.81	tff(f295,plain,(
2.99/0.81	  spl8_11 <=> nil(int) = t2tb1(sK1)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_11])])).
2.99/0.81	tff(f286,plain,(
2.99/0.81	  nil(int) != t2tb1(sK1) | ~spl8_10),
2.99/0.81	  inference(superposition,[],[f199,f280])).
2.99/0.81	tff(f199,plain,(
2.99/0.81	  ( ! [X2:uni,X0:ty,X1:uni] : (nil(X0) != cons(X0,X1,X2)) )),
2.99/0.81	  inference(cnf_transformation,[],[f95])).
2.99/0.81	tff(f95,plain,(
2.99/0.81	  ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)),
2.99/0.81	  inference(rectify,[],[f15])).
2.99/0.81	tff(f15,axiom,(
2.99/0.81	  ! [X0 : ty,X10 : uni,X11 : uni] : nil(X0) != cons(X0,X10,X11)),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons1)).
2.99/0.81	tff(f281,plain,(
2.99/0.81	  spl8_10 | ~spl8_8),
2.99/0.81	  inference(avatar_split_clause,[],[f265,f260,f278])).
2.99/0.81	tff(f260,plain,(
2.99/0.81	  spl8_8 <=> sK1 = tb2t1(cons(int,t2tb2(0),t2tb1(sK5)))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_8])])).
2.99/0.81	tff(f265,plain,(
2.99/0.81	  t2tb1(sK1) = cons(int,t2tb2(0),t2tb1(sK5)) | ~spl8_8),
2.99/0.81	  inference(superposition,[],[f161,f262])).
2.99/0.81	tff(f262,plain,(
2.99/0.81	  sK1 = tb2t1(cons(int,t2tb2(0),t2tb1(sK5))) | ~spl8_8),
2.99/0.81	  inference(avatar_component_clause,[],[f260])).
2.99/0.81	tff(f161,plain,(
2.99/0.81	  ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )),
2.99/0.81	  inference(cnf_transformation,[],[f69])).
2.99/0.81	tff(f69,plain,(
2.99/0.81	  ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0),
2.99/0.81	  inference(rectify,[],[f41])).
2.99/0.81	tff(f41,axiom,(
2.99/0.81	  ! [X13 : uni] : t2tb1(tb2t1(X13)) = X13),
2.99/0.81	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)).
2.99/0.81	tff(f270,plain,(
2.99/0.81	  spl8_9),
2.99/0.81	  inference(avatar_split_clause,[],[f143,f267])).
2.99/0.81	tff(f143,plain,(
2.99/0.81	  length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1)))),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f263,plain,(
2.99/0.81	  spl8_8 | ~spl8_4),
2.99/0.81	  inference(avatar_split_clause,[],[f258,f237,f260])).
2.99/0.81	tff(f237,plain,(
2.99/0.81	  spl8_4 <=> 0 = sK4),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
2.99/0.81	tff(f258,plain,(
2.99/0.81	  sK1 = tb2t1(cons(int,t2tb2(0),t2tb1(sK5))) | ~spl8_4),
2.99/0.81	  inference(forward_demodulation,[],[f148,f239])).
2.99/0.81	tff(f239,plain,(
2.99/0.81	  0 = sK4 | ~spl8_4),
2.99/0.81	  inference(avatar_component_clause,[],[f237])).
2.99/0.81	tff(f148,plain,(
2.99/0.81	  sK1 = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5)))),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f257,plain,(
2.99/0.81	  ~spl8_6 | ~spl8_7),
2.99/0.81	  inference(avatar_split_clause,[],[f151,f254,f250])).
2.99/0.81	tff(f250,plain,(
2.99/0.81	  spl8_6 <=> sK2 = length1(int,t2tb1(sK0))),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_6])])).
2.99/0.81	tff(f151,plain,(
2.99/0.81	  ~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f246,plain,(
2.99/0.81	  ~spl8_5),
2.99/0.81	  inference(avatar_split_clause,[],[f146,f242])).
2.99/0.81	tff(f146,plain,(
2.99/0.81	  tb2t1(nil(int)) != sK1),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f245,plain,(
2.99/0.81	  ~spl8_5),
2.99/0.81	  inference(avatar_split_clause,[],[f145,f242])).
2.99/0.81	tff(f145,plain,(
2.99/0.81	  tb2t1(nil(int)) != sK1),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f240,plain,(
2.99/0.81	  spl8_4 | ~spl8_2 | ~spl8_3),
2.99/0.81	  inference(avatar_split_clause,[],[f235,f228,f223,f237])).
2.99/0.81	tff(f223,plain,(
2.99/0.81	  spl8_2 <=> sK3 = sK4),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_2])])).
2.99/0.81	tff(f228,plain,(
2.99/0.81	  spl8_3 <=> 0 = sK3),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
2.99/0.81	tff(f235,plain,(
2.99/0.81	  0 = sK4 | (~spl8_2 | ~spl8_3)),
2.99/0.81	  inference(backward_demodulation,[],[f225,f230])).
2.99/0.81	tff(f230,plain,(
2.99/0.81	  0 = sK3 | ~spl8_3),
2.99/0.81	  inference(avatar_component_clause,[],[f228])).
2.99/0.81	tff(f225,plain,(
2.99/0.81	  sK3 = sK4 | ~spl8_2),
2.99/0.81	  inference(avatar_component_clause,[],[f223])).
2.99/0.81	tff(f231,plain,(
2.99/0.81	  spl8_3),
2.99/0.81	  inference(avatar_split_clause,[],[f149,f228])).
2.99/0.81	tff(f149,plain,(
2.99/0.81	  0 = sK3),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f226,plain,(
2.99/0.81	  spl8_2),
2.99/0.81	  inference(avatar_split_clause,[],[f147,f223])).
2.99/0.81	tff(f147,plain,(
2.99/0.81	  sK3 = sK4),
2.99/0.81	  inference(cnf_transformation,[],[f135])).
2.99/0.81	tff(f221,plain,(
2.99/0.81	  ~spl8_1),
2.99/0.81	  inference(avatar_split_clause,[],[f144,f218])).
2.99/0.81	tff(f218,plain,(
2.99/0.81	  spl8_1 <=> $less(sK2,0)),
2.99/0.81	  introduced(avatar_definition,[new_symbols(naming,[spl8_1])])).
2.99/0.81	% SZS output end Proof for theBenchmark
2.99/0.81	% (29419)------------------------------
2.99/0.81	% (29419)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
2.99/0.81	% (29419)Termination reason: Refutation
2.99/0.81	
2.99/0.81	% (29419)Memory used [KB]: 6652
2.99/0.81	% (29419)Time elapsed: 0.406 s
2.99/0.81	% (29419)------------------------------
2.99/0.81	% (29419)------------------------------
2.99/0.82	% (29406)Success in time 0.467 s
2.99/0.82	EOF
