0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n004.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 08:38:47 EDT 2020 0.13/0.34 % CPUTime : 0.22/0.50 % (20879)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 0.22/0.51 % (20871)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 0.22/0.51 % (20872)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 0.22/0.52 % (20880)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 0.22/0.52 % (20875)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 0.22/0.53 % (20874)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 0.22/0.53 % (20884)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 0.22/0.53 % (20886)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 0.22/0.53 % (20876)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 0.22/0.53 % (20894)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 0.22/0.53 % (20895)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 0.22/0.53 % (20870)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 0.22/0.53 % (20893)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 0.22/0.54 % (20889)WARNING: option uwaf not known. 0.22/0.54 % (20883)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 0.22/0.54 % (20889)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 0.22/0.54 % (20877)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 0.22/0.54 % (20882)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 0.22/0.54 % (20887)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 1.36/0.54 % (20901)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 1.36/0.54 % (20898)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 1.36/0.54 % (20897)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 1.36/0.55 % (20891)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 1.36/0.55 % (20888)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 1.36/0.55 % (20878)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 1.36/0.55 % (20892)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 1.36/0.55 % (20900)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 1.50/0.56 % (20873)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 1.50/0.57 % (20899)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 1.50/0.58 % (20881)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 1.50/0.58 % (20890)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 3.84/0.92 % (20892)Time limit reached! 3.84/0.92 % (20892)------------------------------ 3.84/0.92 % (20892)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.84/0.93 % (20892)Termination reason: Time limit 3.84/0.93 % (20892)Termination phase: Saturation 3.84/0.93 3.84/0.93 % (20892)Memory used [KB]: 15863 3.84/0.93 % (20892)Time elapsed: 0.510 s 3.84/0.93 % (20892)------------------------------ 3.84/0.93 % (20892)------------------------------ 4.38/0.93 % (20901)Time limit reached! 4.38/0.93 % (20901)------------------------------ 4.38/0.93 % (20901)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.38/0.93 % (20901)Termination reason: Time limit 4.38/0.93 4.38/0.93 % (20901)Memory used [KB]: 14328 4.38/0.93 % (20901)Time elapsed: 0.520 s 4.38/0.93 % (20901)------------------------------ 4.38/0.93 % (20901)------------------------------ 4.67/1.01 % (20898)Time limit reached! 4.67/1.01 % (20898)------------------------------ 4.67/1.01 % (20898)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.67/1.01 % (20898)Termination reason: Time limit 4.67/1.01 % (20898)Termination phase: Saturation 4.67/1.01 4.67/1.01 % (20898)Memory used [KB]: 15863 4.67/1.01 % (20898)Time elapsed: 0.600 s 4.67/1.01 % (20898)------------------------------ 4.67/1.01 % (20898)------------------------------ 4.67/1.01 % (20887)Time limit reached! 4.67/1.01 % (20887)------------------------------ 4.67/1.01 % (20887)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.67/1.01 % (20887)Termination reason: Time limit 4.67/1.01 % (20887)Termination phase: Saturation 4.67/1.01 4.67/1.01 % (20887)Memory used [KB]: 8827 4.67/1.01 % (20887)Time elapsed: 0.600 s 4.67/1.01 % (20887)------------------------------ 4.67/1.01 % (20887)------------------------------ 4.67/1.02 % (20880)Time limit reached! 4.67/1.02 % (20880)------------------------------ 4.67/1.02 % (20880)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.67/1.02 % (20880)Termination reason: Time limit 4.67/1.02 % (20880)Termination phase: Saturation 4.67/1.02 4.67/1.02 % (20880)Memory used [KB]: 7419 4.67/1.02 % (20880)Time elapsed: 0.500 s 4.67/1.02 % (20880)------------------------------ 4.67/1.02 % (20880)------------------------------ 4.67/1.03 % (20903)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 5.22/1.03 % (20882)Refutation found. Thanks to Tanya! 5.22/1.03 % SZS status Theorem for theBenchmark 5.22/1.03 % SZS output start Proof for theBenchmark 5.22/1.03 tff(type_def_5, type, uni: $tType). 5.22/1.03 tff(type_def_6, type, ty: $tType). 5.22/1.03 tff(type_def_7, type, bool: $tType). 5.22/1.03 tff(type_def_8, type, tuple0: $tType). 5.22/1.03 tff(type_def_9, type, a: $tType). 5.22/1.03 tff(type_def_10, type, list_lpa1cm_a1rp: $tType). 5.22/1.03 tff(type_def_11, type, lpa1cm_a1rp: $tType). 5.22/1.03 tff(type_def_12, type, list_a1: $tType). 5.22/1.03 tff(func_def_0, type, witness: ty > uni). 5.22/1.03 tff(func_def_1, type, int: ty). 5.22/1.03 tff(func_def_2, type, real: ty). 5.22/1.03 tff(func_def_3, type, bool1: ty). 5.22/1.03 tff(func_def_4, type, true: bool). 5.22/1.03 tff(func_def_5, type, false: bool). 5.22/1.03 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 5.22/1.03 tff(func_def_7, type, tuple01: ty). 5.22/1.03 tff(func_def_8, type, tuple02: tuple0). 5.22/1.03 tff(func_def_9, type, qtmark: ty). 5.22/1.03 tff(func_def_10, type, list: ty > ty). 5.22/1.03 tff(func_def_11, type, nil: ty > uni). 5.22/1.03 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 5.22/1.03 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 5.22/1.03 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 5.22/1.03 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 5.22/1.03 tff(func_def_16, type, length: (ty * uni) > $int). 5.22/1.03 tff(func_def_17, type, infix_plpl: (ty * uni * uni) > uni). 5.22/1.03 tff(func_def_18, type, reverse: (ty * uni) > uni). 5.22/1.03 tff(func_def_19, type, tuple2: (ty * ty) > ty). 5.22/1.03 tff(func_def_20, type, tuple21: (ty * ty * uni * uni) > uni). 5.22/1.03 tff(func_def_21, type, tuple2_proj_1: (ty * ty * uni) > uni). 5.22/1.03 tff(func_def_22, type, tuple2_proj_2: (ty * ty * uni) > uni). 5.22/1.03 tff(func_def_23, type, combine: (ty * ty * uni * uni) > uni). 5.22/1.03 tff(func_def_24, type, a1: ty). 5.22/1.03 tff(func_def_25, type, t2tb: a > uni). 5.22/1.03 tff(func_def_26, type, tb2t: uni > a). 5.22/1.03 tff(func_def_27, type, t2tb1: list_lpa1cm_a1rp > uni). 5.22/1.03 tff(func_def_28, type, tb2t1: uni > list_lpa1cm_a1rp). 5.22/1.03 tff(func_def_29, type, t2tb2: lpa1cm_a1rp > uni). 5.22/1.03 tff(func_def_30, type, tb2t2: uni > lpa1cm_a1rp). 5.22/1.03 tff(func_def_31, type, t2tb3: list_a1 > uni). 5.22/1.03 tff(func_def_32, type, tb2t3: uni > list_a1). 5.22/1.03 tff(func_def_37, type, sK0: list_a1). 5.22/1.03 tff(func_def_38, type, sK1: list_a1). 5.22/1.03 tff(func_def_39, type, sK2: a). 5.22/1.03 tff(func_def_40, type, sK3: list_a1). 5.22/1.03 tff(func_def_41, type, sK4: list_lpa1cm_a1rp). 5.22/1.03 tff(func_def_42, type, sK5: list_a1). 5.22/1.03 tff(func_def_43, type, sK6: a). 5.22/1.03 tff(func_def_44, type, sK7: list_a1). 5.22/1.03 tff(func_def_45, type, sK8: list_a1). 5.22/1.03 tff(func_def_46, type, sK9: (ty * uni * uni) > uni). 5.22/1.03 tff(func_def_47, type, sK10: (ty * uni * uni) > uni). 5.22/1.03 tff(pred_def_1, type, sort: (ty * uni) > $o). 5.22/1.03 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 5.22/1.03 tff(f3965,plain,( 5.22/1.03 $false), 5.22/1.03 inference(avatar_sat_refutation,[],[f233,f238,f243,f248,f253,f258,f275,f280,f286,f292,f311,f321,f338,f347,f353,f360,f391,f393,f421,f436,f443,f509,f511,f524,f536,f541,f546,f563,f568,f573,f590,f595,f659,f665,f680,f753,f758,f814,f847,f851,f856,f1011,f1016,f1027,f1043,f1405,f1413,f1442,f1454,f1464,f1604,f1609,f1908,f1920,f1951,f2015,f2320,f2387,f2520,f2531,f2901,f2960,f3916,f3922,f3929,f3934,f3964])). 5.22/1.03 tff(f3964,plain,( 5.22/1.03 ~spl11_71 | ~spl11_4 | ~spl11_7 | ~spl11_9 | ~spl11_10 | ~spl11_16 | ~spl11_26), 5.22/1.03 inference(avatar_split_clause,[],[f3959,f533,f350,f289,f283,f272,f245,f3961])). 5.22/1.03 tff(f3961,plain,( 5.22/1.03 spl11_71 <=> sK1 = tb2t3(t2tb3(sK1))), 5.22/1.03 introduced(avatar_definition,[new_symbols(naming,[spl11_71])])). 5.22/1.03 tff(f245,plain,( 5.22/1.03 spl11_4 <=> length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8))), 5.22/1.03 introduced(avatar_definition,[new_symbols(naming,[spl11_4])])). 5.22/1.03 tff(f272,plain,( 5.22/1.03 spl11_7 <=> t2tb3(sK0) = cons(a1,t2tb(sK2),t2tb3(sK3))), 5.22/1.03 introduced(avatar_definition,[new_symbols(naming,[spl11_7])])). 5.22/1.03 tff(f283,plain,( 5.22/1.03 spl11_9 <=> t2tb3(sK1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))), 5.22/1.03 introduced(avatar_definition,[new_symbols(naming,[spl11_9])])). 5.22/1.03 tff(f289,plain,( 5.22/1.03 spl11_10 <=> t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7))), 5.22/1.03 introduced(avatar_definition,[new_symbols(naming,[spl11_10])])). 5.22/1.03 tff(f350,plain,( 5.22/1.03 spl11_16 <=> t2tb1(sK4) = combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))), 5.22/1.03 introduced(avatar_definition,[new_symbols(naming,[spl11_16])])). 5.22/1.03 tff(f533,plain,( 5.22/1.03 spl11_26 <=> length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK3)))), 5.22/1.03 introduced(avatar_definition,[new_symbols(naming,[spl11_26])])). 5.22/1.03 tff(f3959,plain,( 5.22/1.03 sK1 != tb2t3(t2tb3(sK1)) | (~spl11_4 | ~spl11_7 | ~spl11_9 | ~spl11_10 | ~spl11_16 | ~spl11_26)), 5.22/1.03 inference(forward_demodulation,[],[f3958,f285])). 5.22/1.03 tff(f285,plain,( 5.22/1.03 t2tb3(sK1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)) | ~spl11_9), 5.22/1.03 inference(avatar_component_clause,[],[f283])). 5.22/1.03 tff(f3958,plain,( 5.22/1.03 sK1 != tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))) | (~spl11_4 | ~spl11_7 | ~spl11_10 | ~spl11_16 | ~spl11_26)), 5.22/1.03 inference(forward_demodulation,[],[f3957,f180])). 5.22/1.03 tff(f180,plain,( 5.22/1.03 ( ! [X0:ty,X1:uni] : (reverse(X0,reverse(X0,X1)) = X1) )), 5.22/1.03 inference(cnf_transformation,[],[f82])). 5.22/1.03 tff(f82,plain,( 5.22/1.03 ! [X0 : ty,X1 : uni] : reverse(X0,reverse(X0,X1)) = X1), 5.22/1.03 inference(rectify,[],[f31])). 5.22/1.03 tff(f31,axiom,( 5.22/1.03 ! [X1 : ty,X2 : uni] : reverse(X1,reverse(X1,X2)) = X2), 5.22/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_reverse)). 5.22/1.03 tff(f3957,plain,( 5.22/1.03 sK1 != tb2t3(infix_plpl(a1,reverse(a1,reverse(a1,t2tb3(sK8))),t2tb3(sK5))) | (~spl11_4 | ~spl11_7 | ~spl11_10 | ~spl11_16 | ~spl11_26)), 5.22/1.03 inference(forward_demodulation,[],[f3956,f291])). 5.22/1.03 tff(f291,plain,( 5.22/1.03 t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7)) | ~spl11_10), 5.22/1.03 inference(avatar_component_clause,[],[f289])). 5.22/1.03 tff(f3956,plain,( 5.22/1.03 sK1 != tb2t3(infix_plpl(a1,reverse(a1,reverse(a1,t2tb3(sK8))),cons(a1,t2tb(sK6),t2tb3(sK7)))) | (~spl11_4 | ~spl11_7 | ~spl11_16 | ~spl11_26)), 5.22/1.03 inference(forward_demodulation,[],[f3955,f217])). 5.22/1.03 tff(f217,plain,( 5.22/1.03 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (infix_plpl(X0,reverse(X0,X1),cons(X0,X3,X2)) = infix_plpl(X0,reverse(X0,cons(X0,X3,X1)),X2)) )), 5.22/1.03 inference(cnf_transformation,[],[f109])). 5.22/1.03 tff(f109,plain,( 5.22/1.03 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : infix_plpl(X0,reverse(X0,X1),cons(X0,X3,X2)) = infix_plpl(X0,reverse(X0,cons(X0,X3,X1)),X2)), 5.22/1.03 inference(rectify,[],[f12])). 5.22/1.03 tff(f12,axiom,( 5.22/1.03 ! [X1 : ty,X7 : uni,X5 : uni,X0 : uni] : infix_plpl(X1,reverse(X1,X7),cons(X1,X0,X5)) = infix_plpl(X1,reverse(X1,cons(X1,X0,X7)),X5)), 5.22/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_append)). 5.22/1.03 tff(f3955,plain,( 5.22/1.03 sK1 != tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))),t2tb3(sK7))) | (~spl11_4 | ~spl11_7 | ~spl11_16 | ~spl11_26)), 5.22/1.03 inference(trivial_inequality_removal,[],[f3954])). 5.22/1.03 tff(f3954,plain,( 5.22/1.03 length(a1,t2tb3(sK0)) != length(a1,t2tb3(sK0)) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))),t2tb3(sK7))) | (~spl11_4 | ~spl11_7 | ~spl11_16 | ~spl11_26)), 5.22/1.03 inference(forward_demodulation,[],[f3953,f535])). 5.22/1.03 tff(f535,plain,( 5.22/1.03 length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK3))) | ~spl11_26), 5.22/1.03 inference(avatar_component_clause,[],[f533])). 5.22/1.03 tff(f3953,plain,( 5.22/1.03 length(a1,t2tb3(sK0)) != $sum(1,length(a1,t2tb3(sK3))) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))),t2tb3(sK7))) | (~spl11_4 | ~spl11_7 | ~spl11_16)), 5.22/1.03 inference(forward_demodulation,[],[f3952,f247])). 5.22/1.03 tff(f247,plain,( 5.22/1.03 length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8)) | ~spl11_4), 5.22/1.03 inference(avatar_component_clause,[],[f245])). 5.22/1.03 tff(f3952,plain,( 5.22/1.03 length(a1,t2tb3(sK0)) != $sum(1,length(a1,t2tb3(sK8))) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))),t2tb3(sK7))) | (~spl11_7 | ~spl11_16)), 5.22/1.03 inference(forward_demodulation,[],[f3951,f182])). 5.22/1.03 tff(f182,plain,( 5.22/1.03 ( ! [X0:ty,X1:uni] : (length(X0,X1) = length(X0,reverse(X0,X1))) )), 5.22/1.03 inference(cnf_transformation,[],[f84])). 5.22/1.03 tff(f84,plain,( 5.22/1.03 ! [X0 : ty,X1 : uni] : length(X0,X1) = length(X0,reverse(X0,X1))), 5.22/1.03 inference(rectify,[],[f45])). 5.22/1.03 tff(f45,axiom,( 5.22/1.03 ! [X1 : ty,X2 : uni] : length(X1,X2) = length(X1,reverse(X1,X2))), 5.22/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_length)). 5.22/1.03 tff(f3951,plain,( 5.22/1.03 length(a1,t2tb3(sK0)) != $sum(1,length(a1,reverse(a1,t2tb3(sK8)))) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))),t2tb3(sK7))) | (~spl11_7 | ~spl11_16)), 5.22/1.03 inference(forward_demodulation,[],[f3950,f171])). 5.22/1.03 tff(f171,plain,( 5.22/1.03 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2))) )), 5.22/1.03 inference(cnf_transformation,[],[f74])). 5.22/1.03 tff(f74,plain,( 5.22/1.03 ! [X0 : ty] : (0 = length(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)))), 5.22/1.03 inference(rectify,[],[f58])). 5.22/1.03 tff(f58,axiom,( 5.22/1.03 ! [X1 : ty] : (0 = length(X1,nil(X1)) & ! [X0 : uni,X6 : uni] : length(X1,cons(X1,X0,X6)) = $sum(1,length(X1,X6)))), 5.22/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 5.22/1.03 tff(f3950,plain,( 5.22/1.03 length(a1,t2tb3(sK0)) != length(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))),t2tb3(sK7))) | (~spl11_7 | ~spl11_16)), 5.22/1.03 inference(equality_resolution,[],[f3875])). 5.22/1.03 tff(f3875,plain,( 5.22/1.03 ( ! [X0:uni] : (tb2t1(combine(a1,a1,t2tb3(sK0),X0)) != tb2t1(combine(a1,a1,t2tb3(sK0),cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8))))) | length(a1,t2tb3(sK0)) != length(a1,X0) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,X0),t2tb3(sK7)))) ) | (~spl11_7 | ~spl11_16)), 5.22/1.03 inference(backward_demodulation,[],[f438,f1242])). 5.22/1.03 tff(f1242,plain,( 5.22/1.03 ( ! [X0:uni] : (cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),X0),t2tb1(sK4)) = combine(a1,a1,t2tb3(sK0),cons(a1,X0,reverse(a1,t2tb3(sK8))))) ) | (~spl11_7 | ~spl11_16)), 5.22/1.03 inference(superposition,[],[f362,f274])). 5.22/1.03 tff(f274,plain,( 5.22/1.03 t2tb3(sK0) = cons(a1,t2tb(sK2),t2tb3(sK3)) | ~spl11_7), 5.22/1.03 inference(avatar_component_clause,[],[f272])). 5.22/1.03 tff(f362,plain,( 5.22/1.03 ( ! [X0:uni,X1:uni] : (combine(a1,a1,cons(a1,X0,t2tb3(sK3)),cons(a1,X1,reverse(a1,t2tb3(sK8)))) = cons(tuple2(a1,a1),tuple21(a1,a1,X0,X1),t2tb1(sK4))) ) | ~spl11_16), 5.22/1.03 inference(superposition,[],[f200,f352])). 5.22/1.03 tff(f352,plain,( 5.22/1.03 t2tb1(sK4) = combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))) | ~spl11_16), 5.22/1.03 inference(avatar_component_clause,[],[f350])). 5.22/1.03 tff(f200,plain,( 5.22/1.03 ( ! [X6:uni,X4:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (combine(X1,X0,cons(X0,X5,X6),cons(X1,X3,X4)) = cons(tuple2(X0,X1),tuple21(X0,X1,X5,X3),combine(X1,X0,X6,X4))) )), 5.22/1.03 inference(cnf_transformation,[],[f97])). 5.22/1.03 tff(f97,plain,( 5.22/1.03 ! [X0 : ty,X1 : ty,X2 : uni] : (nil(tuple2(X0,X1)) = combine(X1,X0,X2,nil(X1)) & ! [X3 : uni,X4 : uni] : (nil(tuple2(X0,X1)) = combine(X1,X0,nil(X0),cons(X1,X3,X4)) & ! [X5 : uni,X6 : uni] : combine(X1,X0,cons(X0,X5,X6),cons(X1,X3,X4)) = cons(tuple2(X0,X1),tuple21(X0,X1,X5,X3),combine(X1,X0,X6,X4))))), 5.22/1.03 inference(rectify,[],[f44])). 5.22/1.03 tff(f44,axiom,( 5.22/1.03 ! [X1 : ty,X18 : ty,X0 : uni] : (nil(tuple2(X1,X18)) = combine(X18,X1,X0,nil(X18)) & ! [X6 : uni,X17 : uni] : (combine(X18,X1,nil(X1),cons(X18,X6,X17)) = nil(tuple2(X1,X18)) & ! [X19 : uni,X20 : uni] : combine(X18,X1,cons(X1,X19,X20),cons(X18,X6,X17)) = cons(tuple2(X1,X18),tuple21(X1,X18,X19,X6),combine(X18,X1,X20,X17))))), 5.22/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',combine_def)). 5.22/1.04 tff(f438,plain,( 5.22/1.04 ( ! [X0:uni] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(sK6)),t2tb1(sK4))) != tb2t1(combine(a1,a1,t2tb3(sK0),X0)) | length(a1,t2tb3(sK0)) != length(a1,X0) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,X0),t2tb3(sK7)))) )), 5.22/1.04 inference(forward_demodulation,[],[f437,f182])). 5.22/1.04 tff(f437,plain,( 5.22/1.04 ( ! [X0:uni] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(sK6)),t2tb1(sK4))) != tb2t1(combine(a1,a1,t2tb3(sK0),X0)) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,X0),t2tb3(sK7))) | length(a1,t2tb3(sK0)) != length(a1,reverse(a1,X0))) )), 5.22/1.04 inference(superposition,[],[f306,f180])). 5.22/1.04 tff(f306,plain,( 5.22/1.04 ( ! [X0:uni] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(sK6)),t2tb1(sK4))) != tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,X0))) | sK1 != tb2t3(infix_plpl(a1,X0,t2tb3(sK7))) | length(a1,t2tb3(sK0)) != length(a1,X0)) )), 5.22/1.04 inference(superposition,[],[f154,f164])). 5.22/1.04 tff(f164,plain,( 5.22/1.04 ( ! [X0:uni] : (t2tb3(tb2t3(X0)) = X0) )), 5.22/1.04 inference(cnf_transformation,[],[f71])). 5.22/1.04 tff(f71,plain,( 5.22/1.04 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 5.22/1.04 inference(rectify,[],[f43])). 5.22/1.04 tff(f43,axiom,( 5.22/1.04 ! [X9 : uni] : t2tb3(tb2t3(X9)) = X9), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3)). 5.22/1.04 tff(f154,plain,( 5.22/1.04 ( ! [X8:list_a1] : (tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(sK6)),t2tb1(sK4))) | sK1 != tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK7))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) )), 5.22/1.04 inference(cnf_transformation,[],[f138])). 5.22/1.04 tff(f138,plain,( 5.22/1.04 (((! [X8 : list_a1] : (sK1 != tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK7))) | tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(sK6)),t2tb1(sK4))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7)))) & (sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))) & length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8)) & sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))))) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3))) & sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3)))) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0)))), 5.22/1.04 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f132,f137,f136,f135,f134,f133])). 5.22/1.04 tff(f133,plain,( 5.22/1.04 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != X1 | tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X6)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X8)))) | length(a1,t2tb3(X0)) != length(a1,t2tb3(X8))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = X1 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))) => (? [X3 : list_a1,X2 : a] : (? [X5 : list_a1,X4 : list_lpa1cm_a1rp] : (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1 | tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X6)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4)) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = sK0) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0))))), 5.22/1.04 introduced(choice_axiom,[])). 5.22/1.04 tff(f134,plain,( 5.22/1.04 ? [X3 : list_a1,X2 : a] : (? [X5 : list_a1,X4 : list_lpa1cm_a1rp] : (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1 | tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X6)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4)) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = sK0) => (? [X5 : list_a1,X4 : list_lpa1cm_a1rp] : (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1 | tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(X6)),t2tb1(X4))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = X4)) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3))) & sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))))), 5.22/1.04 introduced(choice_axiom,[])). 5.22/1.04 tff(f135,plain,( 5.22/1.04 ? [X5 : list_a1,X4 : list_lpa1cm_a1rp] : (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1 | tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(X6)),t2tb1(X4))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = X4)) => (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1 | tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(X6)),t2tb1(sK4))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK5) & ? [X9 : list_a1] : (sK1 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK5))) & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = sK4))), 5.22/1.04 introduced(choice_axiom,[])). 5.22/1.04 tff(f136,plain,( 5.22/1.04 ? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1 | tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(X6)),t2tb1(sK4))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK5) => (! [X8 : list_a1] : (sK1 != tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK7))) | tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK2),t2tb(sK6)),t2tb1(sK4))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0))) & sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))))), 5.22/1.04 introduced(choice_axiom,[])). 5.22/1.04 tff(f137,plain,( 5.22/1.04 ? [X9 : list_a1] : (sK1 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK5))) & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = sK4) => (sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))) & length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8)) & sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))))), 5.22/1.04 introduced(choice_axiom,[])). 5.22/1.04 tff(f132,plain,( 5.22/1.04 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (! [X8 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != X1 | tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X6)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X8)))) | length(a1,t2tb3(X0)) != length(a1,t2tb3(X8))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = X1 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))))), 5.22/1.04 inference(rectify,[],[f117])). 5.22/1.04 tff(f117,plain,( 5.22/1.04 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X7 : a,X8 : list_a1] : (! [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) != X1 | tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X7)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X9)))) | length(a1,t2tb3(X0)) != length(a1,t2tb3(X9))) & tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5) & ? [X6 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X1 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X6)) & tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X6)))) = X4)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))))), 5.22/1.04 inference(flattening,[],[f116])). 5.22/1.04 tff(f116,plain,( 5.22/1.04 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : ((? [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X7 : a,X8 : list_a1] : (! [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) != X1 | tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X7)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X9)))) | length(a1,t2tb3(X0)) != length(a1,t2tb3(X9))) & tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5) & ? [X6 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X1 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X6)) & tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X6)))) = X4)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3)))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))))), 5.22/1.04 inference(ennf_transformation,[],[f63])). 5.22/1.04 tff(f63,plain,( 5.22/1.04 ~! [X0 : list_a1,X1 : list_a1] : (~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))) => ! [X2 : a,X3 : list_a1] : (tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 => (~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) => ! [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X6 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X1 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X6)) & tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X6)))) = X4) => ! [X7 : a,X8 : list_a1] : (tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5 => ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X1 & tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X7)),t2tb1(X4))) = tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X9)))) & length(a1,t2tb3(X0)) = length(a1,t2tb3(X9))))))))), 5.22/1.04 inference(rectify,[],[f60])). 5.22/1.04 tff(f60,plain,( 5.22/1.04 ~! [X0 : list_a1,X13 : list_a1] : (~$less(length(a1,t2tb3(X13)),length(a1,t2tb3(X0))) => ! [X6 : a,X17 : list_a1] : (tb2t3(cons(a1,t2tb(X6),t2tb3(X17))) = X0 => (~$less(length(a1,t2tb3(X13)),length(a1,t2tb3(X17))) => ! [X21 : list_lpa1cm_a1rp,X22 : list_a1] : (? [X23 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X22))) = X13 & length(a1,t2tb3(X23)) = length(a1,t2tb3(X17)) & tb2t1(combine(a1,a1,t2tb3(X17),reverse(a1,t2tb3(X23)))) = X21) => ! [X19 : a,X20 : list_a1] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X22 => ? [X23 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X20))) = X13 & tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X6),t2tb(X19)),t2tb1(X21))) = tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X23)))) & length(a1,t2tb3(X23)) = length(a1,t2tb3(X0))))))))), 5.22/1.04 inference(theory_normalization,[],[f47])). 5.22/1.04 tff(f47,negated_conjecture,( 5.22/1.04 ~! [X0 : list_a1,X13 : list_a1] : ($lesseq(length(a1,t2tb3(X0)),length(a1,t2tb3(X13))) => ! [X6 : a,X17 : list_a1] : (tb2t3(cons(a1,t2tb(X6),t2tb3(X17))) = X0 => ($lesseq(length(a1,t2tb3(X17)),length(a1,t2tb3(X13))) => ! [X21 : list_lpa1cm_a1rp,X22 : list_a1] : (? [X23 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X22))) = X13 & length(a1,t2tb3(X23)) = length(a1,t2tb3(X17)) & tb2t1(combine(a1,a1,t2tb3(X17),reverse(a1,t2tb3(X23)))) = X21) => ! [X19 : a,X20 : list_a1] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X22 => ? [X23 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X20))) = X13 & tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X6),t2tb(X19)),t2tb1(X21))) = tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X23)))) & length(a1,t2tb3(X23)) = length(a1,t2tb3(X0))))))))), 5.22/1.04 inference(negated_conjecture,[],[f46])). 5.22/1.04 tff(f46,conjecture,( 5.22/1.04 ! [X0 : list_a1,X13 : list_a1] : ($lesseq(length(a1,t2tb3(X0)),length(a1,t2tb3(X13))) => ! [X6 : a,X17 : list_a1] : (tb2t3(cons(a1,t2tb(X6),t2tb3(X17))) = X0 => ($lesseq(length(a1,t2tb3(X17)),length(a1,t2tb3(X13))) => ! [X21 : list_lpa1cm_a1rp,X22 : list_a1] : (? [X23 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X22))) = X13 & length(a1,t2tb3(X23)) = length(a1,t2tb3(X17)) & tb2t1(combine(a1,a1,t2tb3(X17),reverse(a1,t2tb3(X23)))) = X21) => ! [X19 : a,X20 : list_a1] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X22 => ? [X23 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X20))) = X13 & tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X6),t2tb(X19)),t2tb1(X21))) = tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X23)))) & length(a1,t2tb3(X23)) = length(a1,t2tb3(X0))))))))), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_convolution_rec)). 5.22/1.04 tff(f3934,plain,( 5.22/1.04 ~spl11_70 | ~spl11_42), 5.22/1.04 inference(avatar_split_clause,[],[f999,f853,f3931])). 5.22/1.04 tff(f3931,plain,( 5.22/1.04 spl11_70 <=> mem(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_70])])). 5.22/1.04 tff(f853,plain,( 5.22/1.04 spl11_42 <=> sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_42])])). 5.22/1.04 tff(f999,plain,( 5.22/1.04 ~mem(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1))) | ~spl11_42), 5.22/1.04 inference(resolution,[],[f855,f189])). 5.22/1.04 tff(f189,plain,( 5.22/1.04 ( ! [X0:ty,X1:uni] : (~mem(X0,X1,nil(X0)) | ~sort(X0,X1)) )), 5.22/1.04 inference(cnf_transformation,[],[f140])). 5.22/1.04 tff(f140,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & (mem(X0,X1,X3) | X1 = X2 | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort(X0,X2))) | ~sort(X0,X1))), 5.22/1.04 inference(flattening,[],[f139])). 5.22/1.04 tff(f139,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & ((mem(X0,X1,X3) | X1 = X2) | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort(X0,X2))) | ~sort(X0,X1))), 5.22/1.04 inference(nnf_transformation,[],[f120])). 5.22/1.04 tff(f120,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((mem(X0,X1,cons(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2)) | ~sort(X0,X2))) | ~sort(X0,X1))), 5.22/1.04 inference(ennf_transformation,[],[f87])). 5.22/1.04 tff(f87,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => (~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (sort(X0,X2) => (mem(X0,X1,cons(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2)))))), 5.22/1.04 inference(rectify,[],[f53])). 5.22/1.04 tff(f53,axiom,( 5.22/1.04 ! [X1 : ty,X0 : uni] : (sort(X1,X0) => (~mem(X1,X0,nil(X1)) & ! [X6 : uni,X17 : uni] : (sort(X1,X6) => (mem(X1,X0,cons(X1,X6,X17)) <=> (mem(X1,X0,X17) | X0 = X6)))))), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def)). 5.22/1.04 tff(f855,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_42), 5.22/1.04 inference(avatar_component_clause,[],[f853])). 5.22/1.04 tff(f3929,plain,( 5.22/1.04 ~spl11_69 | ~spl11_40), 5.22/1.04 inference(avatar_split_clause,[],[f986,f844,f3926])). 5.22/1.04 tff(f3926,plain,( 5.22/1.04 spl11_69 <=> mem(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_69])])). 5.22/1.04 tff(f844,plain,( 5.22/1.04 spl11_40 <=> sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_40])])). 5.22/1.04 tff(f986,plain,( 5.22/1.04 ~mem(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1))) | ~spl11_40), 5.22/1.04 inference(resolution,[],[f846,f189])). 5.22/1.04 tff(f846,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_40), 5.22/1.04 inference(avatar_component_clause,[],[f844])). 5.22/1.04 tff(f3922,plain,( 5.22/1.04 ~spl11_68 | ~spl11_38), 5.22/1.04 inference(avatar_split_clause,[],[f956,f755,f3919])). 5.22/1.04 tff(f3919,plain,( 5.22/1.04 spl11_68 <=> mem(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_68])])). 5.22/1.04 tff(f755,plain,( 5.22/1.04 spl11_38 <=> sort(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_38])])). 5.22/1.04 tff(f956,plain,( 5.22/1.04 ~mem(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1))) | ~spl11_38), 5.22/1.04 inference(resolution,[],[f757,f189])). 5.22/1.04 tff(f757,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_38), 5.22/1.04 inference(avatar_component_clause,[],[f755])). 5.22/1.04 tff(f3916,plain,( 5.22/1.04 ~spl11_67 | ~spl11_37), 5.22/1.04 inference(avatar_split_clause,[],[f926,f750,f3913])). 5.22/1.04 tff(f3913,plain,( 5.22/1.04 spl11_67 <=> mem(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_67])])). 5.22/1.04 tff(f750,plain,( 5.22/1.04 spl11_37 <=> sort(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_37])])). 5.22/1.04 tff(f926,plain,( 5.22/1.04 ~mem(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1))) | ~spl11_37), 5.22/1.04 inference(resolution,[],[f752,f189])). 5.22/1.04 tff(f752,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_37), 5.22/1.04 inference(avatar_component_clause,[],[f750])). 5.22/1.04 tff(f2960,plain,( 5.22/1.04 ~spl11_23 | spl11_66 | ~spl11_10), 5.22/1.04 inference(avatar_split_clause,[],[f785,f289,f2958,f502])). 5.22/1.04 tff(f502,plain,( 5.22/1.04 spl11_23 <=> sort(a1,t2tb(sK6))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_23])])). 5.22/1.04 tff(f2958,plain,( 5.22/1.04 spl11_66 <=> ! [X5 : uni,X6 : uni] : (mem(a1,X6,infix_plpl(a1,t2tb3(sK5),X5)) | ~sort(a1,X6) | ~mem(a1,X6,infix_plpl(a1,t2tb3(sK7),X5)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_66])])). 5.22/1.04 tff(f785,plain,( 5.22/1.04 ( ! [X6:uni,X5:uni] : (mem(a1,X6,infix_plpl(a1,t2tb3(sK5),X5)) | ~mem(a1,X6,infix_plpl(a1,t2tb3(sK7),X5)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X6)) ) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f188,f323])). 5.22/1.04 tff(f323,plain,( 5.22/1.04 ( ! [X0:uni] : (cons(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X0)) = infix_plpl(a1,t2tb3(sK5),X0)) ) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f184,f291])). 5.22/1.04 tff(f184,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (infix_plpl(X0,cons(X0,X2,X3),X1) = cons(X0,X2,infix_plpl(X0,X3,X1))) )), 5.22/1.04 inference(cnf_transformation,[],[f85])). 5.22/1.04 tff(f85,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni] : (! [X2 : uni,X3 : uni] : infix_plpl(X0,cons(X0,X2,X3),X1) = cons(X0,X2,infix_plpl(X0,X3,X1)) & infix_plpl(X0,nil(X0),X1) = X1)), 5.22/1.04 inference(rectify,[],[f7])). 5.22/1.04 tff(f7,axiom,( 5.22/1.04 ! [X1 : ty,X5 : uni] : (! [X0 : uni,X6 : uni] : infix_plpl(X1,cons(X1,X0,X6),X5) = cons(X1,X0,infix_plpl(X1,X6,X5)) & infix_plpl(X1,nil(X1),X5) = X5)), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_plpl_def)). 5.22/1.04 tff(f188,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | ~mem(X0,X1,X3) | ~sort(X0,X2) | ~sort(X0,X1)) )), 5.22/1.04 inference(cnf_transformation,[],[f140])). 5.22/1.04 tff(f2901,plain,( 5.22/1.04 ~spl11_18 | spl11_65 | ~spl11_7), 5.22/1.04 inference(avatar_split_clause,[],[f731,f272,f2899,f384])). 5.22/1.04 tff(f384,plain,( 5.22/1.04 spl11_18 <=> sort(a1,t2tb(sK2))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_18])])). 5.22/1.04 tff(f2899,plain,( 5.22/1.04 spl11_65 <=> ! [X5 : uni,X6 : uni] : (mem(a1,X6,infix_plpl(a1,t2tb3(sK0),X5)) | ~sort(a1,X6) | ~mem(a1,X6,infix_plpl(a1,t2tb3(sK3),X5)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_65])])). 5.22/1.04 tff(f731,plain,( 5.22/1.04 ( ! [X6:uni,X5:uni] : (mem(a1,X6,infix_plpl(a1,t2tb3(sK0),X5)) | ~mem(a1,X6,infix_plpl(a1,t2tb3(sK3),X5)) | ~sort(a1,t2tb(sK2)) | ~sort(a1,X6)) ) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f188,f295])). 5.22/1.04 tff(f295,plain,( 5.22/1.04 ( ! [X0:uni] : (cons(a1,t2tb(sK2),infix_plpl(a1,t2tb3(sK3),X0)) = infix_plpl(a1,t2tb3(sK0),X0)) ) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f184,f274])). 5.22/1.04 tff(f2531,plain,( 5.22/1.04 spl11_64 | ~spl11_24), 5.22/1.04 inference(avatar_split_clause,[],[f515,f506,f2528])). 5.22/1.04 tff(f2528,plain,( 5.22/1.04 spl11_64 <=> t2tb3(sK5) = infix_plpl(a1,sK9(a1,t2tb(sK6),t2tb3(sK5)),cons(a1,t2tb(sK6),sK10(a1,t2tb(sK6),t2tb3(sK5))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_64])])). 5.22/1.04 tff(f506,plain,( 5.22/1.04 spl11_24 <=> mem(a1,t2tb(sK6),t2tb3(sK5))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_24])])). 5.22/1.04 tff(f515,plain,( 5.22/1.04 t2tb3(sK5) = infix_plpl(a1,sK9(a1,t2tb(sK6),t2tb3(sK5)),cons(a1,t2tb(sK6),sK10(a1,t2tb(sK6),t2tb3(sK5)))) | ~spl11_24), 5.22/1.04 inference(resolution,[],[f508,f208])). 5.22/1.04 tff(f208,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X1:uni] : (infix_plpl(X0,sK9(X0,X1,X2),cons(X0,X1,sK10(X0,X1,X2))) = X2 | ~mem(X0,X1,X2)) )), 5.22/1.04 inference(cnf_transformation,[],[f143])). 5.22/1.04 tff(f143,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : ((sort(list(X0),sK10(X0,X1,X2)) & infix_plpl(X0,sK9(X0,X1,X2),cons(X0,X1,sK10(X0,X1,X2))) = X2 & sort(list(X0),sK9(X0,X1,X2))) | ~mem(X0,X1,X2))), 5.22/1.04 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f126,f142])). 5.22/1.04 tff(f142,plain,( 5.22/1.04 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2 & sort(list(X0),X3)) => (sort(list(X0),sK10(X0,X1,X2)) & infix_plpl(X0,sK9(X0,X1,X2),cons(X0,X1,sK10(X0,X1,X2))) = X2 & sort(list(X0),sK9(X0,X1,X2))))), 5.22/1.04 introduced(choice_axiom,[])). 5.22/1.04 tff(f126,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2 & sort(list(X0),X3)) | ~mem(X0,X1,X2))), 5.22/1.04 inference(ennf_transformation,[],[f102])). 5.22/1.04 tff(f102,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => ? [X3 : uni,X4 : uni] : (sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2 & sort(list(X0),X3)))), 5.22/1.04 inference(rectify,[],[f40])). 5.22/1.04 tff(f40,axiom,( 5.22/1.04 ! [X1 : ty,X0 : uni,X2 : uni] : (mem(X1,X0,X2) => ? [X7 : uni,X5 : uni] : (sort(list(X1),X5) & infix_plpl(X1,X7,cons(X1,X0,X5)) = X2 & sort(list(X1),X7)))), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_decomp)). 5.22/1.04 tff(f508,plain,( 5.22/1.04 mem(a1,t2tb(sK6),t2tb3(sK5)) | ~spl11_24), 5.22/1.04 inference(avatar_component_clause,[],[f506])). 5.22/1.04 tff(f2520,plain,( 5.22/1.04 spl11_63 | ~spl11_19), 5.22/1.04 inference(avatar_split_clause,[],[f411,f388,f2517])). 5.22/1.04 tff(f2517,plain,( 5.22/1.04 spl11_63 <=> t2tb3(sK0) = infix_plpl(a1,sK9(a1,t2tb(sK2),t2tb3(sK0)),cons(a1,t2tb(sK2),sK10(a1,t2tb(sK2),t2tb3(sK0))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_63])])). 5.22/1.04 tff(f388,plain,( 5.22/1.04 spl11_19 <=> mem(a1,t2tb(sK2),t2tb3(sK0))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_19])])). 5.22/1.04 tff(f411,plain,( 5.22/1.04 t2tb3(sK0) = infix_plpl(a1,sK9(a1,t2tb(sK2),t2tb3(sK0)),cons(a1,t2tb(sK2),sK10(a1,t2tb(sK2),t2tb3(sK0)))) | ~spl11_19), 5.22/1.04 inference(resolution,[],[f390,f208])). 5.22/1.04 tff(f390,plain,( 5.22/1.04 mem(a1,t2tb(sK2),t2tb3(sK0)) | ~spl11_19), 5.22/1.04 inference(avatar_component_clause,[],[f388])). 5.22/1.04 tff(f2387,plain,( 5.22/1.04 spl11_61 | ~spl11_62 | ~spl11_4 | ~spl11_26), 5.22/1.04 inference(avatar_split_clause,[],[f1281,f533,f245,f2384,f2381])). 5.22/1.04 tff(f2381,plain,( 5.22/1.04 spl11_61 <=> ! [X5 : uni] : nil(a1) = cons(a1,X5,t2tb3(sK8))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_61])])). 5.22/1.04 tff(f2384,plain,( 5.22/1.04 spl11_62 <=> 0 = length(a1,t2tb3(sK0))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_62])])). 5.22/1.04 tff(f1281,plain,( 5.22/1.04 ( ! [X5:uni] : (0 != length(a1,t2tb3(sK0)) | nil(a1) = cons(a1,X5,t2tb3(sK8))) ) | (~spl11_4 | ~spl11_26)), 5.22/1.04 inference(superposition,[],[f190,f1219])). 5.22/1.04 tff(f1219,plain,( 5.22/1.04 ( ! [X0:uni] : (length(a1,t2tb3(sK0)) = length(a1,cons(a1,X0,t2tb3(sK8)))) ) | (~spl11_4 | ~spl11_26)), 5.22/1.04 inference(forward_demodulation,[],[f1218,f535])). 5.22/1.04 tff(f1218,plain,( 5.22/1.04 ( ! [X0:uni] : ($sum(1,length(a1,t2tb3(sK3))) = length(a1,cons(a1,X0,t2tb3(sK8)))) ) | ~spl11_4), 5.22/1.04 inference(forward_demodulation,[],[f1217,f183])). 5.22/1.04 tff(f183,plain,( 5.22/1.04 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 5.22/1.04 inference(cnf_transformation,[],[f85])). 5.22/1.04 tff(f1217,plain,( 5.22/1.04 ( ! [X0:uni] : ($sum(1,length(a1,t2tb3(sK3))) = length(a1,infix_plpl(a1,nil(a1),cons(a1,X0,t2tb3(sK8))))) ) | ~spl11_4), 5.22/1.04 inference(forward_demodulation,[],[f1216,f171])). 5.22/1.04 tff(f1216,plain,( 5.22/1.04 ( ! [X0:uni] : (length(a1,infix_plpl(a1,nil(a1),cons(a1,X0,t2tb3(sK8)))) = length(a1,cons(a1,X0,t2tb3(sK3)))) ) | ~spl11_4), 5.22/1.04 inference(forward_demodulation,[],[f1207,f183])). 5.22/1.04 tff(f1207,plain,( 5.22/1.04 ( ! [X0:uni] : (length(a1,infix_plpl(a1,nil(a1),cons(a1,X0,t2tb3(sK8)))) = length(a1,infix_plpl(a1,nil(a1),cons(a1,X0,t2tb3(sK3))))) ) | ~spl11_4), 5.22/1.04 inference(superposition,[],[f378,f169])). 5.22/1.04 tff(f169,plain,( 5.22/1.04 ( ! [X0:ty] : (nil(X0) = reverse(X0,nil(X0))) )), 5.22/1.04 inference(cnf_transformation,[],[f73])). 5.22/1.04 tff(f73,plain,( 5.22/1.04 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : reverse(X0,cons(X0,X1,X2)) = infix_plpl(X0,reverse(X0,X2),cons(X0,X1,nil(X0))) & nil(X0) = reverse(X0,nil(X0)))), 5.22/1.04 inference(rectify,[],[f50])). 5.22/1.04 tff(f50,axiom,( 5.22/1.04 ! [X1 : ty] : (! [X0 : uni,X6 : uni] : reverse(X1,cons(X1,X0,X6)) = infix_plpl(X1,reverse(X1,X6),cons(X1,X0,nil(X1))) & nil(X1) = reverse(X1,nil(X1)))), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_def)). 5.22/1.04 tff(f378,plain,( 5.22/1.04 ( ! [X4:uni,X5:uni] : (length(a1,infix_plpl(a1,reverse(a1,X5),cons(a1,X4,t2tb3(sK8)))) = length(a1,infix_plpl(a1,reverse(a1,X5),cons(a1,X4,t2tb3(sK3))))) ) | ~spl11_4), 5.22/1.04 inference(forward_demodulation,[],[f368,f217])). 5.22/1.04 tff(f368,plain,( 5.22/1.04 ( ! [X4:uni,X5:uni] : (length(a1,infix_plpl(a1,reverse(a1,cons(a1,X4,X5)),t2tb3(sK3))) = length(a1,infix_plpl(a1,reverse(a1,X5),cons(a1,X4,t2tb3(sK8))))) ) | ~spl11_4), 5.22/1.04 inference(superposition,[],[f266,f217])). 5.22/1.04 tff(f266,plain,( 5.22/1.04 ( ! [X0:uni] : (length(a1,infix_plpl(a1,X0,t2tb3(sK8))) = length(a1,infix_plpl(a1,X0,t2tb3(sK3)))) ) | ~spl11_4), 5.22/1.04 inference(forward_demodulation,[],[f262,f198])). 5.22/1.04 tff(f198,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X1:uni] : ($sum(length(X0,X1),length(X0,X2)) = length(X0,infix_plpl(X0,X1,X2))) )), 5.22/1.04 inference(cnf_transformation,[],[f95])). 5.22/1.04 tff(f95,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : $sum(length(X0,X1),length(X0,X2)) = length(X0,infix_plpl(X0,X1,X2))), 5.22/1.04 inference(rectify,[],[f16])). 5.22/1.04 tff(f16,axiom,( 5.22/1.04 ! [X1 : ty,X7 : uni,X5 : uni] : $sum(length(X1,X7),length(X1,X5)) = length(X1,infix_plpl(X1,X7,X5))), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',append_length)). 5.22/1.04 tff(f262,plain,( 5.22/1.04 ( ! [X0:uni] : (length(a1,infix_plpl(a1,X0,t2tb3(sK8))) = $sum(length(a1,X0),length(a1,t2tb3(sK3)))) ) | ~spl11_4), 5.22/1.04 inference(superposition,[],[f198,f247])). 5.22/1.04 tff(f190,plain,( 5.22/1.04 ( ! [X0:ty,X1:uni] : (nil(X0) = X1 | 0 != length(X0,X1)) )), 5.22/1.04 inference(cnf_transformation,[],[f141])). 5.22/1.04 tff(f141,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni] : ((0 = length(X0,X1) | nil(X0) != X1) & (nil(X0) = X1 | 0 != length(X0,X1)))), 5.22/1.04 inference(nnf_transformation,[],[f88])). 5.22/1.04 tff(f88,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni] : (0 = length(X0,X1) <=> nil(X0) = X1)), 5.22/1.04 inference(rectify,[],[f6])). 5.22/1.04 tff(f6,axiom,( 5.22/1.04 ! [X1 : ty,X2 : uni] : (0 = length(X1,X2) <=> nil(X1) = X2)), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)). 5.22/1.04 tff(f2320,plain,( 5.22/1.04 spl11_59 | ~spl11_60 | ~spl11_4), 5.22/1.04 inference(avatar_split_clause,[],[f891,f245,f2317,f2313])). 5.22/1.04 tff(f2313,plain,( 5.22/1.04 spl11_59 <=> nil(a1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK8))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_59])])). 5.22/1.04 tff(f2317,plain,( 5.22/1.04 spl11_60 <=> 0 = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK3)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_60])])). 5.22/1.04 tff(f891,plain,( 5.22/1.04 0 != length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK3))) | nil(a1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK8)) | ~spl11_4), 5.22/1.04 inference(superposition,[],[f371,f267])). 5.22/1.04 tff(f267,plain,( 5.22/1.04 ( ! [X1:uni] : (length(a1,infix_plpl(a1,t2tb3(sK8),X1)) = length(a1,infix_plpl(a1,t2tb3(sK3),X1))) ) | ~spl11_4), 5.22/1.04 inference(forward_demodulation,[],[f263,f198])). 5.22/1.04 tff(f263,plain,( 5.22/1.04 ( ! [X1:uni] : (length(a1,infix_plpl(a1,t2tb3(sK8),X1)) = $sum(length(a1,t2tb3(sK3)),length(a1,X1))) ) | ~spl11_4), 5.22/1.04 inference(superposition,[],[f198,f247])). 5.22/1.04 tff(f371,plain,( 5.22/1.04 ( ! [X4:uni] : (0 != length(a1,infix_plpl(a1,X4,t2tb3(sK3))) | nil(a1) = infix_plpl(a1,X4,t2tb3(sK8))) ) | ~spl11_4), 5.22/1.04 inference(superposition,[],[f190,f266])). 5.22/1.04 tff(f2015,plain,( 5.22/1.04 spl11_58 | ~spl11_10), 5.22/1.04 inference(avatar_split_clause,[],[f965,f289,f2012])). 5.22/1.04 tff(f2012,plain,( 5.22/1.04 spl11_58 <=> infix_plpl(a1,reverse(a1,t2tb3(sK5)),t2tb3(sK7)) = infix_plpl(a1,reverse(a1,t2tb3(sK7)),t2tb3(sK5))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_58])])). 5.22/1.04 tff(f965,plain,( 5.22/1.04 infix_plpl(a1,reverse(a1,t2tb3(sK5)),t2tb3(sK7)) = infix_plpl(a1,reverse(a1,t2tb3(sK7)),t2tb3(sK5)) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f331,f291])). 5.22/1.04 tff(f331,plain,( 5.22/1.04 ( ! [X4:uni] : (infix_plpl(a1,reverse(a1,t2tb3(sK7)),cons(a1,t2tb(sK6),X4)) = infix_plpl(a1,reverse(a1,t2tb3(sK5)),X4)) ) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f217,f291])). 5.22/1.04 tff(f1951,plain,( 5.22/1.04 spl11_57 | ~spl11_7), 5.22/1.04 inference(avatar_split_clause,[],[f935,f272,f1948])). 5.22/1.04 tff(f1948,plain,( 5.22/1.04 spl11_57 <=> infix_plpl(a1,reverse(a1,t2tb3(sK0)),t2tb3(sK3)) = infix_plpl(a1,reverse(a1,t2tb3(sK3)),t2tb3(sK0))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_57])])). 5.22/1.04 tff(f935,plain,( 5.22/1.04 infix_plpl(a1,reverse(a1,t2tb3(sK0)),t2tb3(sK3)) = infix_plpl(a1,reverse(a1,t2tb3(sK3)),t2tb3(sK0)) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f303,f274])). 5.22/1.04 tff(f303,plain,( 5.22/1.04 ( ! [X4:uni] : (infix_plpl(a1,reverse(a1,t2tb3(sK3)),cons(a1,t2tb(sK2),X4)) = infix_plpl(a1,reverse(a1,t2tb3(sK0)),X4)) ) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f217,f274])). 5.22/1.04 tff(f1920,plain,( 5.22/1.04 ~spl11_56 | ~spl11_35), 5.22/1.04 inference(avatar_split_clause,[],[f718,f662,f1917])). 5.22/1.04 tff(f1917,plain,( 5.22/1.04 spl11_56 <=> mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_56])])). 5.22/1.04 tff(f662,plain,( 5.22/1.04 spl11_35 <=> sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_35])])). 5.22/1.04 tff(f718,plain,( 5.22/1.04 ~mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1))) | ~spl11_35), 5.22/1.04 inference(resolution,[],[f664,f189])). 5.22/1.04 tff(f664,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_35), 5.22/1.04 inference(avatar_component_clause,[],[f662])). 5.22/1.04 tff(f1908,plain,( 5.22/1.04 ~spl11_55 | ~spl11_34), 5.22/1.04 inference(avatar_split_clause,[],[f705,f656,f1905])). 5.22/1.04 tff(f1905,plain,( 5.22/1.04 spl11_55 <=> mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_55])])). 5.22/1.04 tff(f656,plain,( 5.22/1.04 spl11_34 <=> sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_34])])). 5.22/1.04 tff(f705,plain,( 5.22/1.04 ~mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1))) | ~spl11_34), 5.22/1.04 inference(resolution,[],[f658,f189])). 5.22/1.04 tff(f658,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_34), 5.22/1.04 inference(avatar_component_clause,[],[f656])). 5.22/1.04 tff(f1609,plain,( 5.22/1.04 ~spl11_54 | ~spl11_33), 5.22/1.04 inference(avatar_split_clause,[],[f642,f592,f1606])). 5.22/1.04 tff(f1606,plain,( 5.22/1.04 spl11_54 <=> mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_54])])). 5.22/1.04 tff(f592,plain,( 5.22/1.04 spl11_33 <=> sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_33])])). 5.22/1.04 tff(f642,plain,( 5.22/1.04 ~mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1))) | ~spl11_33), 5.22/1.04 inference(resolution,[],[f594,f189])). 5.22/1.04 tff(f594,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_33), 5.22/1.04 inference(avatar_component_clause,[],[f592])). 5.22/1.04 tff(f1604,plain,( 5.22/1.04 ~spl11_53 | ~spl11_32), 5.22/1.04 inference(avatar_split_clause,[],[f629,f587,f1601])). 5.22/1.04 tff(f1601,plain,( 5.22/1.04 spl11_53 <=> mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_53])])). 5.22/1.04 tff(f587,plain,( 5.22/1.04 spl11_32 <=> sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_32])])). 5.22/1.04 tff(f629,plain,( 5.22/1.04 ~mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1))) | ~spl11_32), 5.22/1.04 inference(resolution,[],[f589,f189])). 5.22/1.04 tff(f589,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_32), 5.22/1.04 inference(avatar_component_clause,[],[f587])). 5.22/1.04 tff(f1464,plain,( 5.22/1.04 ~spl11_52 | ~spl11_22), 5.22/1.04 inference(avatar_split_clause,[],[f492,f440,f1461])). 5.22/1.04 tff(f1461,plain,( 5.22/1.04 spl11_52 <=> mem(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_52])])). 5.22/1.04 tff(f440,plain,( 5.22/1.04 spl11_22 <=> sort(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_22])])). 5.22/1.04 tff(f492,plain,( 5.22/1.04 ~mem(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1))) | ~spl11_22), 5.22/1.04 inference(resolution,[],[f442,f189])). 5.22/1.04 tff(f442,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_22), 5.22/1.04 inference(avatar_component_clause,[],[f440])). 5.22/1.04 tff(f1454,plain,( 5.22/1.04 ~spl11_51 | ~spl11_21), 5.22/1.04 inference(avatar_split_clause,[],[f479,f433,f1451])). 5.22/1.04 tff(f1451,plain,( 5.22/1.04 spl11_51 <=> mem(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_51])])). 5.22/1.04 tff(f433,plain,( 5.22/1.04 spl11_21 <=> sort(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_21])])). 5.22/1.04 tff(f479,plain,( 5.22/1.04 ~mem(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1))) | ~spl11_21), 5.22/1.04 inference(resolution,[],[f435,f189])). 5.22/1.04 tff(f435,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_21), 5.22/1.04 inference(avatar_component_clause,[],[f433])). 5.22/1.04 tff(f1442,plain,( 5.22/1.04 spl11_49 | ~spl11_50 | ~spl11_36), 5.22/1.04 inference(avatar_split_clause,[],[f696,f677,f1439,f1435])). 5.22/1.04 tff(f1435,plain,( 5.22/1.04 spl11_49 <=> nil(a1) = infix_plpl(a1,t2tb3(sK3),t2tb3(sK5))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_49])])). 5.22/1.04 tff(f1439,plain,( 5.22/1.04 spl11_50 <=> 0 = length(a1,t2tb3(sK1))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_50])])). 5.22/1.04 tff(f677,plain,( 5.22/1.04 spl11_36 <=> length(a1,t2tb3(sK1)) = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK5)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_36])])). 5.22/1.04 tff(f696,plain,( 5.22/1.04 0 != length(a1,t2tb3(sK1)) | nil(a1) = infix_plpl(a1,t2tb3(sK3),t2tb3(sK5)) | ~spl11_36), 5.22/1.04 inference(superposition,[],[f190,f679])). 5.22/1.04 tff(f679,plain,( 5.22/1.04 length(a1,t2tb3(sK1)) = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK5))) | ~spl11_36), 5.22/1.04 inference(avatar_component_clause,[],[f677])). 5.22/1.04 tff(f1413,plain,( 5.22/1.04 ~spl11_23 | spl11_48 | ~spl11_10), 5.22/1.04 inference(avatar_split_clause,[],[f790,f289,f1411,f502])). 5.22/1.04 tff(f1411,plain,( 5.22/1.04 spl11_48 <=> ! [X12 : uni] : t2tb(sK6) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK5),X12))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_48])])). 5.22/1.04 tff(f790,plain,( 5.22/1.04 ( ! [X12:uni] : (t2tb(sK6) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK5),X12)) | ~sort(a1,t2tb(sK6))) ) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f206,f323])). 5.22/1.04 tff(f206,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_1(X0,cons(X0,X1,X2)) = X1 | ~sort(X0,X1)) )), 5.22/1.04 inference(cnf_transformation,[],[f125])). 5.22/1.04 tff(f125,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_1(X0,cons(X0,X1,X2)) = X1 | ~sort(X0,X1))), 5.22/1.04 inference(ennf_transformation,[],[f101])). 5.22/1.04 tff(f101,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : (sort(X0,X1) => cons_proj_1(X0,cons(X0,X1,X2)) = X1)), 5.22/1.04 inference(rectify,[],[f42])). 5.22/1.04 tff(f42,axiom,( 5.22/1.04 ! [X1 : ty,X3 : uni,X10 : uni] : (sort(X1,X3) => cons_proj_1(X1,cons(X1,X3,X10)) = X3)), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_def)). 5.22/1.04 tff(f1405,plain,( 5.22/1.04 ~spl11_18 | spl11_47 | ~spl11_7), 5.22/1.04 inference(avatar_split_clause,[],[f736,f272,f1403,f384])). 5.22/1.04 tff(f1403,plain,( 5.22/1.04 spl11_47 <=> ! [X12 : uni] : t2tb(sK2) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X12))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_47])])). 5.22/1.04 tff(f736,plain,( 5.22/1.04 ( ! [X12:uni] : (t2tb(sK2) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X12)) | ~sort(a1,t2tb(sK2))) ) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f206,f295])). 5.22/1.04 tff(f1043,plain,( 5.22/1.04 ~spl11_23 | spl11_46 | ~spl11_10), 5.22/1.04 inference(avatar_split_clause,[],[f324,f289,f1041,f502])). 5.22/1.04 tff(f1041,plain,( 5.22/1.04 spl11_46 <=> ! [X1 : uni] : (~mem(a1,X1,t2tb3(sK5)) | ~sort(a1,X1) | t2tb(sK6) = X1 | mem(a1,X1,t2tb3(sK7)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_46])])). 5.22/1.04 tff(f324,plain,( 5.22/1.04 ( ! [X1:uni] : (~mem(a1,X1,t2tb3(sK5)) | mem(a1,X1,t2tb3(sK7)) | t2tb(sK6) = X1 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X1)) ) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f186,f291])). 5.22/1.04 tff(f186,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,X3) | X1 = X2 | ~mem(X0,X1,cons(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X1)) )), 5.22/1.04 inference(cnf_transformation,[],[f140])). 5.22/1.04 tff(f1027,plain,( 5.22/1.04 spl11_45 | ~spl11_30), 5.22/1.04 inference(avatar_split_clause,[],[f581,f565,f1024])). 5.22/1.04 tff(f1024,plain,( 5.22/1.04 spl11_45 <=> sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_45])])). 5.22/1.04 tff(f565,plain,( 5.22/1.04 spl11_30 <=> mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK1)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_30])])). 5.22/1.04 tff(f581,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK1)))) | ~spl11_30), 5.22/1.04 inference(resolution,[],[f567,f209])). 5.22/1.04 tff(f209,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X1:uni] : (sort(list(X0),sK10(X0,X1,X2)) | ~mem(X0,X1,X2)) )), 5.22/1.04 inference(cnf_transformation,[],[f143])). 5.22/1.04 tff(f567,plain,( 5.22/1.04 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))) | ~spl11_30), 5.22/1.04 inference(avatar_component_clause,[],[f565])). 5.22/1.04 tff(f1016,plain,( 5.22/1.04 spl11_44 | ~spl11_30), 5.22/1.04 inference(avatar_split_clause,[],[f579,f565,f1013])). 5.22/1.04 tff(f1013,plain,( 5.22/1.04 spl11_44 <=> sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_44])])). 5.22/1.04 tff(f579,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK1)))) | ~spl11_30), 5.22/1.04 inference(resolution,[],[f567,f207])). 5.22/1.04 tff(f207,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X1:uni] : (sort(list(X0),sK9(X0,X1,X2)) | ~mem(X0,X1,X2)) )), 5.22/1.04 inference(cnf_transformation,[],[f143])). 5.22/1.04 tff(f1011,plain,( 5.22/1.04 ~spl11_18 | spl11_43 | ~spl11_7), 5.22/1.04 inference(avatar_split_clause,[],[f296,f272,f1009,f384])). 5.22/1.04 tff(f1009,plain,( 5.22/1.04 spl11_43 <=> ! [X1 : uni] : (~mem(a1,X1,t2tb3(sK0)) | ~sort(a1,X1) | t2tb(sK2) = X1 | mem(a1,X1,t2tb3(sK3)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_43])])). 5.22/1.04 tff(f296,plain,( 5.22/1.04 ( ! [X1:uni] : (~mem(a1,X1,t2tb3(sK0)) | mem(a1,X1,t2tb3(sK3)) | t2tb(sK2) = X1 | ~sort(a1,t2tb(sK2)) | ~sort(a1,X1)) ) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f186,f274])). 5.22/1.04 tff(f856,plain,( 5.22/1.04 spl11_42 | ~spl11_27), 5.22/1.04 inference(avatar_split_clause,[],[f554,f538,f853])). 5.22/1.04 tff(f538,plain,( 5.22/1.04 spl11_27 <=> mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_27])])). 5.22/1.04 tff(f554,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_27), 5.22/1.04 inference(resolution,[],[f540,f209])). 5.22/1.04 tff(f540,plain,( 5.22/1.04 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))) | ~spl11_27), 5.22/1.04 inference(avatar_component_clause,[],[f538])). 5.22/1.04 tff(f851,plain,( 5.22/1.04 ~spl11_23 | spl11_41 | ~spl11_10), 5.22/1.04 inference(avatar_split_clause,[],[f325,f289,f849,f502])). 5.22/1.04 tff(f849,plain,( 5.22/1.04 spl11_41 <=> ! [X2 : uni] : (mem(a1,X2,t2tb3(sK5)) | ~sort(a1,X2) | ~mem(a1,X2,t2tb3(sK7)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_41])])). 5.22/1.04 tff(f325,plain,( 5.22/1.04 ( ! [X2:uni] : (mem(a1,X2,t2tb3(sK5)) | ~mem(a1,X2,t2tb3(sK7)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X2)) ) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f188,f291])). 5.22/1.04 tff(f847,plain,( 5.22/1.04 spl11_40 | ~spl11_27), 5.22/1.04 inference(avatar_split_clause,[],[f552,f538,f844])). 5.22/1.04 tff(f552,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_27), 5.22/1.04 inference(resolution,[],[f540,f207])). 5.22/1.04 tff(f814,plain,( 5.22/1.04 ~spl11_18 | spl11_39 | ~spl11_7), 5.22/1.04 inference(avatar_split_clause,[],[f297,f272,f812,f384])). 5.22/1.04 tff(f812,plain,( 5.22/1.04 spl11_39 <=> ! [X2 : uni] : (mem(a1,X2,t2tb3(sK0)) | ~sort(a1,X2) | ~mem(a1,X2,t2tb3(sK3)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_39])])). 5.22/1.04 tff(f297,plain,( 5.22/1.04 ( ! [X2:uni] : (mem(a1,X2,t2tb3(sK0)) | ~mem(a1,X2,t2tb3(sK3)) | ~sort(a1,t2tb(sK2)) | ~sort(a1,X2)) ) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f188,f274])). 5.22/1.04 tff(f758,plain,( 5.22/1.04 spl11_38 | ~spl11_20), 5.22/1.04 inference(avatar_split_clause,[],[f426,f418,f755])). 5.22/1.04 tff(f418,plain,( 5.22/1.04 spl11_20 <=> mem(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_20])])). 5.22/1.04 tff(f426,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_20), 5.22/1.04 inference(resolution,[],[f420,f209])). 5.22/1.04 tff(f420,plain,( 5.22/1.04 mem(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))) | ~spl11_20), 5.22/1.04 inference(avatar_component_clause,[],[f418])). 5.22/1.04 tff(f753,plain,( 5.22/1.04 spl11_37 | ~spl11_20), 5.22/1.04 inference(avatar_split_clause,[],[f424,f418,f750])). 5.22/1.04 tff(f424,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_20), 5.22/1.04 inference(resolution,[],[f420,f207])). 5.22/1.04 tff(f680,plain,( 5.22/1.04 spl11_36 | ~spl11_4 | ~spl11_9), 5.22/1.04 inference(avatar_split_clause,[],[f394,f283,f245,f677])). 5.22/1.04 tff(f394,plain,( 5.22/1.04 length(a1,t2tb3(sK1)) = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK5))) | (~spl11_4 | ~spl11_9)), 5.22/1.04 inference(superposition,[],[f267,f285])). 5.22/1.04 tff(f665,plain,( 5.22/1.04 spl11_35 | ~spl11_25), 5.22/1.04 inference(avatar_split_clause,[],[f528,f521,f662])). 5.22/1.04 tff(f521,plain,( 5.22/1.04 spl11_25 <=> mem(a1,t2tb(sK6),t2tb3(sK1))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_25])])). 5.22/1.04 tff(f528,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_25), 5.22/1.04 inference(resolution,[],[f523,f209])). 5.22/1.04 tff(f523,plain,( 5.22/1.04 mem(a1,t2tb(sK6),t2tb3(sK1)) | ~spl11_25), 5.22/1.04 inference(avatar_component_clause,[],[f521])). 5.22/1.04 tff(f659,plain,( 5.22/1.04 spl11_34 | ~spl11_25), 5.22/1.04 inference(avatar_split_clause,[],[f526,f521,f656])). 5.22/1.04 tff(f526,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_25), 5.22/1.04 inference(resolution,[],[f523,f207])). 5.22/1.04 tff(f595,plain,( 5.22/1.04 spl11_33 | ~spl11_24), 5.22/1.04 inference(avatar_split_clause,[],[f516,f506,f592])). 5.22/1.04 tff(f516,plain,( 5.22/1.04 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_24), 5.22/1.04 inference(resolution,[],[f508,f209])). 5.22/1.04 tff(f590,plain,( 5.22/1.04 spl11_32 | ~spl11_24), 5.22/1.04 inference(avatar_split_clause,[],[f514,f506,f587])). 5.22/1.04 tff(f514,plain,( 5.22/1.04 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_24), 5.22/1.04 inference(resolution,[],[f508,f207])). 5.22/1.04 tff(f573,plain,( 5.22/1.04 ~spl11_23 | spl11_31 | ~spl11_10), 5.22/1.04 inference(avatar_split_clause,[],[f330,f289,f570,f502])). 5.22/1.04 tff(f570,plain,( 5.22/1.04 spl11_31 <=> t2tb(sK6) = cons_proj_1(a1,t2tb3(sK5))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_31])])). 5.22/1.04 tff(f330,plain,( 5.22/1.04 t2tb(sK6) = cons_proj_1(a1,t2tb3(sK5)) | ~sort(a1,t2tb(sK6)) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f206,f291])). 5.22/1.04 tff(f568,plain,( 5.22/1.04 spl11_30 | ~spl11_25), 5.22/1.04 inference(avatar_split_clause,[],[f529,f521,f565])). 5.22/1.04 tff(f529,plain,( 5.22/1.04 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))) | ~spl11_25), 5.22/1.04 inference(resolution,[],[f523,f211])). 5.22/1.04 tff(f211,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,X2,reverse(X0,X1)) | ~mem(X0,X2,X1)) )), 5.22/1.04 inference(cnf_transformation,[],[f144])). 5.22/1.04 tff(f144,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : ((mem(X0,X2,X1) | ~mem(X0,X2,reverse(X0,X1))) & (mem(X0,X2,reverse(X0,X1)) | ~mem(X0,X2,X1)))), 5.22/1.04 inference(nnf_transformation,[],[f104])). 5.22/1.04 tff(f104,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X2,X1) <=> mem(X0,X2,reverse(X0,X1)))), 5.22/1.04 inference(rectify,[],[f2])). 5.22/1.04 tff(f2,axiom,( 5.22/1.04 ! [X1 : ty,X2 : uni,X0 : uni] : (mem(X1,X0,X2) <=> mem(X1,X0,reverse(X1,X2)))), 5.22/1.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reverse_mem)). 5.22/1.04 tff(f563,plain,( 5.22/1.04 spl11_29 | ~spl11_10), 5.22/1.04 inference(avatar_split_clause,[],[f322,f289,f560])). 5.22/1.04 tff(f560,plain,( 5.22/1.04 spl11_29 <=> $sum(1,length(a1,t2tb3(sK7))) = length(a1,t2tb3(sK5))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_29])])). 5.22/1.04 tff(f322,plain,( 5.22/1.04 $sum(1,length(a1,t2tb3(sK7))) = length(a1,t2tb3(sK5)) | ~spl11_10), 5.22/1.04 inference(superposition,[],[f171,f291])). 5.22/1.04 tff(f546,plain,( 5.22/1.04 ~spl11_18 | spl11_28 | ~spl11_7), 5.22/1.04 inference(avatar_split_clause,[],[f302,f272,f543,f384])). 5.22/1.04 tff(f543,plain,( 5.22/1.04 spl11_28 <=> t2tb(sK2) = cons_proj_1(a1,t2tb3(sK0))), 5.22/1.04 introduced(avatar_definition,[new_symbols(naming,[spl11_28])])). 5.22/1.04 tff(f302,plain,( 5.22/1.04 t2tb(sK2) = cons_proj_1(a1,t2tb3(sK0)) | ~sort(a1,t2tb(sK2)) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f206,f274])). 5.22/1.04 tff(f541,plain,( 5.22/1.04 spl11_27 | ~spl11_24), 5.22/1.04 inference(avatar_split_clause,[],[f517,f506,f538])). 5.22/1.04 tff(f517,plain,( 5.22/1.04 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))) | ~spl11_24), 5.22/1.04 inference(resolution,[],[f508,f211])). 5.22/1.04 tff(f536,plain,( 5.22/1.04 spl11_26 | ~spl11_7), 5.22/1.04 inference(avatar_split_clause,[],[f294,f272,f533])). 5.22/1.04 tff(f294,plain,( 5.22/1.04 length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK3))) | ~spl11_7), 5.22/1.04 inference(superposition,[],[f171,f274])). 5.22/1.04 tff(f524,plain,( 5.22/1.04 spl11_25 | ~spl11_9 | ~spl11_24), 5.22/1.04 inference(avatar_split_clause,[],[f512,f506,f283,f521])). 5.22/1.04 tff(f512,plain,( 5.22/1.04 mem(a1,t2tb(sK6),t2tb3(sK1)) | (~spl11_9 | ~spl11_24)), 5.22/1.04 inference(resolution,[],[f508,f313])). 5.22/1.04 tff(f313,plain,( 5.22/1.04 ( ! [X1:uni] : (~mem(a1,X1,t2tb3(sK5)) | mem(a1,X1,t2tb3(sK1))) ) | ~spl11_9), 5.22/1.04 inference(superposition,[],[f222,f285])). 5.22/1.04 tff(f222,plain,( 5.22/1.04 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X3)) )), 5.22/1.04 inference(cnf_transformation,[],[f146])). 5.22/1.04 tff(f146,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,X3) | mem(X0,X1,X2) | ~mem(X0,X1,infix_plpl(X0,X2,X3))) & (mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))))), 5.22/1.04 inference(flattening,[],[f145])). 5.22/1.04 tff(f145,plain,( 5.22/1.04 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,X3) | mem(X0,X1,X2)) | ~mem(X0,X1,infix_plpl(X0,X2,X3))) & (mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))))), 5.22/1.04 inference(nnf_transformation,[],[f113])). 5.22/1.05 % (20876)Time limit reached! 5.22/1.05 % (20876)------------------------------ 5.22/1.05 % (20876)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.22/1.05 tff(f113,plain,( 5.22/1.05 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,X3) | mem(X0,X1,X2)) <=> mem(X0,X1,infix_plpl(X0,X2,X3)))), 5.22/1.05 inference(rectify,[],[f8])). 5.22/1.05 tff(f8,axiom,( 5.22/1.05 ! [X1 : ty,X0 : uni,X7 : uni,X5 : uni] : ((mem(X1,X0,X5) | mem(X1,X0,X7)) <=> mem(X1,X0,infix_plpl(X1,X7,X5)))), 5.22/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_append)). 5.22/1.05 tff(f511,plain,( 5.22/1.05 spl11_23), 5.22/1.05 inference(avatar_contradiction_clause,[],[f510])). 5.22/1.05 tff(f510,plain,( 5.22/1.05 $false | spl11_23), 5.22/1.05 inference(resolution,[],[f504,f158])). 5.22/1.05 tff(f158,plain,( 5.22/1.05 ( ! [X0:a] : (sort(a1,t2tb(X0))) )), 5.22/1.05 inference(cnf_transformation,[],[f49])). 5.22/1.05 tff(f49,axiom,( 5.22/1.05 ! [X0 : a] : sort(a1,t2tb(X0))), 5.22/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort)). 5.22/1.05 tff(f504,plain,( 5.22/1.05 ~sort(a1,t2tb(sK6)) | spl11_23), 5.22/1.05 inference(avatar_component_clause,[],[f502])). 5.22/1.05 tff(f509,plain,( 5.22/1.05 ~spl11_23 | spl11_24 | ~spl11_10), 5.22/1.05 inference(avatar_split_clause,[],[f333,f289,f506,f502])). 5.22/1.05 tff(f333,plain,( 5.22/1.05 mem(a1,t2tb(sK6),t2tb3(sK5)) | ~sort(a1,t2tb(sK6)) | ~spl11_10), 5.22/1.05 inference(superposition,[],[f228,f291])). 5.22/1.05 tff(f228,plain,( 5.22/1.05 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2)) )), 5.22/1.05 inference(duplicate_literal_removal,[],[f226])). 5.22/1.05 tff(f226,plain,( 5.22/1.05 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X2)) )), 5.22/1.05 inference(equality_resolution,[],[f187])). 5.22/1.05 tff(f187,plain,( 5.22/1.05 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 5.22/1.05 inference(cnf_transformation,[],[f140])). 5.22/1.05 tff(f443,plain,( 5.22/1.05 spl11_22 | ~spl11_19), 5.22/1.05 inference(avatar_split_clause,[],[f412,f388,f440])). 5.22/1.05 tff(f412,plain,( 5.22/1.05 sort(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_19), 5.22/1.05 inference(resolution,[],[f390,f209])). 5.22/1.05 tff(f436,plain,( 5.22/1.05 spl11_21 | ~spl11_19), 5.22/1.05 inference(avatar_split_clause,[],[f410,f388,f433])). 5.22/1.05 tff(f410,plain,( 5.22/1.05 sort(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_19), 5.22/1.05 inference(resolution,[],[f390,f207])). 5.22/1.05 tff(f421,plain,( 5.22/1.05 spl11_20 | ~spl11_19), 5.22/1.05 inference(avatar_split_clause,[],[f413,f388,f418])). 5.22/1.05 tff(f413,plain,( 5.22/1.05 mem(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))) | ~spl11_19), 5.22/1.05 inference(resolution,[],[f390,f211])). 5.22/1.05 tff(f393,plain,( 5.22/1.05 spl11_18), 5.22/1.05 inference(avatar_contradiction_clause,[],[f392])). 5.22/1.05 tff(f392,plain,( 5.22/1.05 $false | spl11_18), 5.22/1.05 inference(resolution,[],[f386,f158])). 5.22/1.05 tff(f386,plain,( 5.22/1.05 ~sort(a1,t2tb(sK2)) | spl11_18), 5.22/1.05 inference(avatar_component_clause,[],[f384])). 5.22/1.05 tff(f391,plain,( 5.22/1.05 ~spl11_18 | spl11_19 | ~spl11_7), 5.22/1.05 inference(avatar_split_clause,[],[f305,f272,f388,f384])). 5.22/1.05 tff(f305,plain,( 5.22/1.05 mem(a1,t2tb(sK2),t2tb3(sK0)) | ~sort(a1,t2tb(sK2)) | ~spl11_7), 5.22/1.05 inference(superposition,[],[f228,f274])). 5.22/1.05 tff(f360,plain,( 5.22/1.05 spl11_17 | ~spl11_10), 5.22/1.05 inference(avatar_split_clause,[],[f328,f289,f357])). 5.22/1.05 tff(f357,plain,( 5.22/1.05 spl11_17 <=> t2tb3(sK7) = cons_proj_2(a1,t2tb3(sK5))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_17])])). 5.22/1.05 tff(f328,plain,( 5.22/1.05 t2tb3(sK7) = cons_proj_2(a1,t2tb3(sK5)) | ~spl11_10), 5.22/1.05 inference(superposition,[],[f197,f291])). 5.22/1.05 tff(f197,plain,( 5.22/1.05 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_2(X0,cons(X0,X1,X2)) = X2) )), 5.22/1.05 inference(cnf_transformation,[],[f94])). 5.22/1.05 tff(f94,plain,( 5.22/1.05 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_2(X0,cons(X0,X1,X2)) = X2), 5.22/1.05 inference(rectify,[],[f20])). 5.22/1.05 tff(f20,axiom,( 5.22/1.05 ! [X1 : ty,X3 : uni,X10 : uni] : cons_proj_2(X1,cons(X1,X3,X10)) = X10), 5.22/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def)). 5.22/1.05 tff(f353,plain,( 5.22/1.05 spl11_16 | ~spl11_8), 5.22/1.05 inference(avatar_split_clause,[],[f293,f277,f350])). 5.22/1.05 tff(f277,plain,( 5.22/1.05 spl11_8 <=> sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_8])])). 5.22/1.05 tff(f293,plain,( 5.22/1.05 t2tb1(sK4) = combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))) | ~spl11_8), 5.22/1.05 inference(superposition,[],[f161,f279])). 5.22/1.05 tff(f279,plain,( 5.22/1.05 sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))) | ~spl11_8), 5.22/1.05 inference(avatar_component_clause,[],[f277])). 5.22/1.05 tff(f161,plain,( 5.22/1.05 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 5.22/1.05 inference(cnf_transformation,[],[f68])). 5.22/1.05 tff(f68,plain,( 5.22/1.05 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 5.22/1.05 inference(rectify,[],[f13])). 5.22/1.05 tff(f13,axiom,( 5.22/1.05 ! [X9 : uni] : t2tb1(tb2t1(X9)) = X9), 5.22/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 5.22/1.05 tff(f347,plain,( 5.22/1.05 spl11_14 | ~spl11_15 | ~spl11_4), 5.22/1.05 inference(avatar_split_clause,[],[f264,f245,f344,f340])). 5.22/1.05 tff(f340,plain,( 5.22/1.05 spl11_14 <=> t2tb3(sK8) = nil(a1)), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_14])])). 5.22/1.05 tff(f344,plain,( 5.22/1.05 spl11_15 <=> 0 = length(a1,t2tb3(sK3))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_15])])). 5.22/1.05 tff(f264,plain,( 5.22/1.05 0 != length(a1,t2tb3(sK3)) | t2tb3(sK8) = nil(a1) | ~spl11_4), 5.22/1.05 inference(superposition,[],[f190,f247])). 5.22/1.05 tff(f338,plain,( 5.22/1.05 ~spl11_13 | ~spl11_10), 5.22/1.05 inference(avatar_split_clause,[],[f326,f289,f335])). 5.22/1.05 tff(f335,plain,( 5.22/1.05 spl11_13 <=> t2tb3(sK5) = nil(a1)), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_13])])). 5.22/1.05 tff(f326,plain,( 5.22/1.05 t2tb3(sK5) != nil(a1) | ~spl11_10), 5.22/1.05 inference(superposition,[],[f194,f291])). 5.22/1.05 tff(f194,plain,( 5.22/1.05 ( ! [X2:uni,X0:ty,X1:uni] : (nil(X0) != cons(X0,X1,X2)) )), 5.22/1.05 inference(cnf_transformation,[],[f91])). 5.22/1.05 tff(f91,plain,( 5.22/1.05 ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)), 5.22/1.05 inference(rectify,[],[f26])). 5.22/1.05 tff(f26,axiom,( 5.22/1.05 ! [X1 : ty,X11 : uni,X12 : uni] : nil(X1) != cons(X1,X11,X12)), 5.22/1.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons)). 5.22/1.05 tff(f321,plain,( 5.22/1.05 spl11_12 | ~spl11_7), 5.22/1.05 inference(avatar_split_clause,[],[f300,f272,f318])). 5.22/1.05 tff(f318,plain,( 5.22/1.05 spl11_12 <=> t2tb3(sK3) = cons_proj_2(a1,t2tb3(sK0))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_12])])). 5.22/1.05 tff(f300,plain,( 5.22/1.05 t2tb3(sK3) = cons_proj_2(a1,t2tb3(sK0)) | ~spl11_7), 5.22/1.05 inference(superposition,[],[f197,f274])). 5.22/1.05 tff(f311,plain,( 5.22/1.05 ~spl11_11 | ~spl11_7), 5.22/1.05 inference(avatar_split_clause,[],[f298,f272,f308])). 5.22/1.05 tff(f308,plain,( 5.22/1.05 spl11_11 <=> t2tb3(sK0) = nil(a1)), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_11])])). 5.22/1.05 tff(f298,plain,( 5.22/1.05 t2tb3(sK0) != nil(a1) | ~spl11_7), 5.22/1.05 inference(superposition,[],[f194,f274])). 5.22/1.05 tff(f292,plain,( 5.22/1.05 spl11_10 | ~spl11_6), 5.22/1.05 inference(avatar_split_clause,[],[f269,f255,f289])). 5.22/1.05 tff(f255,plain,( 5.22/1.05 spl11_6 <=> sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7)))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_6])])). 5.22/1.05 tff(f269,plain,( 5.22/1.05 t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7)) | ~spl11_6), 5.22/1.05 inference(superposition,[],[f164,f257])). 5.22/1.05 tff(f257,plain,( 5.22/1.05 sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) | ~spl11_6), 5.22/1.05 inference(avatar_component_clause,[],[f255])). 5.22/1.05 tff(f286,plain,( 5.22/1.05 spl11_9 | ~spl11_5), 5.22/1.05 inference(avatar_split_clause,[],[f268,f250,f283])). 5.22/1.05 tff(f250,plain,( 5.22/1.05 spl11_5 <=> sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_5])])). 5.22/1.05 tff(f268,plain,( 5.22/1.05 t2tb3(sK1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)) | ~spl11_5), 5.22/1.05 inference(superposition,[],[f164,f252])). 5.22/1.05 tff(f252,plain,( 5.22/1.05 sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))) | ~spl11_5), 5.22/1.05 inference(avatar_component_clause,[],[f250])). 5.22/1.05 tff(f280,plain,( 5.22/1.05 spl11_8), 5.22/1.05 inference(avatar_split_clause,[],[f150,f277])). 5.22/1.05 tff(f150,plain,( 5.22/1.05 sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))))), 5.22/1.05 inference(cnf_transformation,[],[f138])). 5.22/1.05 tff(f275,plain,( 5.22/1.05 spl11_7 | ~spl11_2), 5.22/1.05 inference(avatar_split_clause,[],[f260,f235,f272])). 5.22/1.05 tff(f235,plain,( 5.22/1.05 spl11_2 <=> sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3)))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_2])])). 5.22/1.05 tff(f260,plain,( 5.22/1.05 t2tb3(sK0) = cons(a1,t2tb(sK2),t2tb3(sK3)) | ~spl11_2), 5.22/1.05 inference(superposition,[],[f164,f237])). 5.22/1.05 tff(f237,plain,( 5.22/1.05 sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))) | ~spl11_2), 5.22/1.05 inference(avatar_component_clause,[],[f235])). 5.22/1.05 tff(f258,plain,( 5.22/1.05 spl11_6), 5.22/1.05 inference(avatar_split_clause,[],[f153,f255])). 5.22/1.05 tff(f153,plain,( 5.22/1.05 sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7)))), 5.22/1.05 inference(cnf_transformation,[],[f138])). 5.22/1.05 tff(f253,plain,( 5.22/1.05 spl11_5), 5.22/1.05 inference(avatar_split_clause,[],[f152,f250])). 5.22/1.05 tff(f152,plain,( 5.22/1.05 sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)))), 5.22/1.05 inference(cnf_transformation,[],[f138])). 5.22/1.05 tff(f248,plain,( 5.22/1.05 spl11_4), 5.22/1.05 inference(avatar_split_clause,[],[f151,f245])). 5.22/1.05 tff(f151,plain,( 5.22/1.05 length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8))), 5.22/1.05 inference(cnf_transformation,[],[f138])). 5.22/1.05 tff(f243,plain,( 5.22/1.05 ~spl11_3), 5.22/1.05 inference(avatar_split_clause,[],[f149,f240])). 5.22/1.05 tff(f240,plain,( 5.22/1.05 spl11_3 <=> $less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3)))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_3])])). 5.22/1.05 tff(f149,plain,( 5.22/1.05 ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3)))), 5.22/1.05 inference(cnf_transformation,[],[f138])). 5.22/1.05 tff(f238,plain,( 5.22/1.05 spl11_2), 5.22/1.05 inference(avatar_split_clause,[],[f148,f235])). 5.22/1.05 tff(f148,plain,( 5.22/1.05 sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3)))), 5.22/1.05 inference(cnf_transformation,[],[f138])). 5.22/1.05 tff(f233,plain,( 5.22/1.05 ~spl11_1), 5.22/1.05 inference(avatar_split_clause,[],[f147,f230])). 5.22/1.05 tff(f230,plain,( 5.22/1.05 spl11_1 <=> $less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0)))), 5.22/1.05 introduced(avatar_definition,[new_symbols(naming,[spl11_1])])). 5.22/1.05 tff(f147,plain,( 5.22/1.05 ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0)))), 5.22/1.05 inference(cnf_transformation,[],[f138])). 5.22/1.05 % SZS output end Proof for theBenchmark 5.22/1.05 % (20882)------------------------------ 5.22/1.05 % (20882)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.22/1.05 % (20882)Termination reason: Refutation 5.22/1.05 5.22/1.05 % (20882)Memory used [KB]: 8443 5.22/1.05 % (20882)Time elapsed: 0.608 s 5.22/1.05 % (20882)------------------------------ 5.22/1.05 % (20882)------------------------------ 5.22/1.06 % (20869)Success in time 0.686 s 5.22/1.06 EOF