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