0.05/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.12 % Command : run_vampire %s %d 0.11/0.32 Computer : n003.cluster.edu 0.11/0.32 Model : x86_64 x86_64 0.11/0.32 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 RAMPerCPU : 8042.1875MB 0.11/0.32 OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 05:33:51 EDT 2022 0.11/0.32 % CPUTime : 0.19/0.49 % (11479)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 0.19/0.50 % (11487)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 0.19/0.50 % (11474)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 0.19/0.50 % (11477)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 0.19/0.50 % (11495)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 0.19/0.50 % (11482)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 0.19/0.51 % (11497)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 0.19/0.51 % (11475)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 0.19/0.51 % (11489)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 0.19/0.52 % (11484)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 0.19/0.53 % (11500)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 0.19/0.53 % (11483)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 0.19/0.53 % (11478)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 0.19/0.54 % (11492)WARNING: option uwaf not known. 0.19/0.54 % (11492)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 0.19/0.54 % (11476)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 0.19/0.54 % (11485)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 0.19/0.54 % (11502)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 0.19/0.54 % (11486)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 0.19/0.55 % (11503)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 0.19/0.55 % (11494)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 1.51/0.55 % (11480)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 1.51/0.56 % (11490)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 1.51/0.56 % (11496)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 1.51/0.56 % (11481)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 1.66/0.57 % (11499)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 1.66/0.57 % (11501)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 1.66/0.57 % (11498)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 1.66/0.58 % (11491)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 1.66/0.58 % (11493)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 1.66/0.59 % (11488)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 3.99/0.91 % (11484)Time limit reached! 3.99/0.91 % (11484)------------------------------ 3.99/0.91 % (11484)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.99/0.91 % (11484)Termination reason: Time limit 3.99/0.91 3.99/0.91 % (11484)Memory used [KB]: 6652 3.99/0.91 % (11484)Time elapsed: 0.508 s 3.99/0.91 % (11484)------------------------------ 3.99/0.91 % (11484)------------------------------ 3.99/0.91 % (11503)Time limit reached! 3.99/0.91 % (11503)------------------------------ 3.99/0.91 % (11503)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.99/0.91 % (11503)Termination reason: Time limit 3.99/0.91 % (11503)Termination phase: Saturation 3.99/0.91 3.99/0.91 % (11503)Memory used [KB]: 13304 3.99/0.91 % (11503)Time elapsed: 0.514 s 3.99/0.91 % (11503)------------------------------ 3.99/0.91 % (11503)------------------------------ 3.99/0.92 % (11495)Time limit reached! 3.99/0.92 % (11495)------------------------------ 3.99/0.92 % (11495)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.99/0.92 % (11495)Termination reason: Time limit 3.99/0.92 3.99/0.92 % (11495)Memory used [KB]: 14839 3.99/0.92 % (11495)Time elapsed: 0.515 s 3.99/0.92 % (11495)------------------------------ 3.99/0.92 % (11495)------------------------------ 4.80/1.00 % (11490)Time limit reached! 4.80/1.00 % (11490)------------------------------ 4.80/1.00 % (11490)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.80/1.00 % (11490)Termination reason: Time limit 4.80/1.00 % (11490)Termination phase: Saturation 4.80/1.00 4.80/1.00 % (11490)Memory used [KB]: 7291 4.80/1.00 % (11490)Time elapsed: 0.604 s 4.80/1.00 % (11490)------------------------------ 4.80/1.00 % (11490)------------------------------ 4.80/1.02 % (11480)Time limit reached! 4.80/1.02 % (11480)------------------------------ 4.80/1.02 % (11480)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.80/1.02 % (11500)Time limit reached! 4.80/1.02 % (11500)------------------------------ 4.80/1.02 % (11500)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.80/1.02 % (11500)Termination reason: Time limit 4.80/1.02 % (11500)Termination phase: Saturation 4.80/1.02 4.80/1.02 % (11500)Memory used [KB]: 14583 4.80/1.02 % (11500)Time elapsed: 0.600 s 4.80/1.02 % (11500)------------------------------ 4.80/1.02 % (11500)------------------------------ 4.80/1.03 % (11480)Termination reason: Time limit 4.80/1.03 % (11480)Termination phase: Saturation 4.80/1.03 4.80/1.03 % (11480)Memory used [KB]: 7675 4.80/1.03 % (11480)Time elapsed: 0.600 s 4.80/1.03 % (11480)------------------------------ 4.80/1.03 % (11480)------------------------------ 5.56/1.14 % (11504)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 5.56/1.14 % (11506)WARNING: option uwaf not known. 6.21/1.15 % (11506)lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_359 on theBenchmark 6.21/1.16 % (11505)dis-1_2:1_afr=on:afp=10000:afq=2.0:anc=none:cond=on:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:irw=on:lcm=predicate:lma=on:nm=32:nwc=1:sas=z3:sos=all:sp=reverse_arity:tha=off:uwa=ground_4 on theBenchmark 6.56/1.22 % (11501)Time limit reached! 6.56/1.22 % (11501)------------------------------ 6.56/1.22 % (11501)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.56/1.22 % (11501)Termination reason: Time limit 6.56/1.22 6.56/1.22 % (11501)Memory used [KB]: 9083 6.56/1.22 % (11501)Time elapsed: 0.815 s 6.56/1.22 % (11501)------------------------------ 6.56/1.22 % (11501)------------------------------ 6.96/1.24 % (11509)lrs-11_4_awrs=decay:awrsf=64:afp=1000:afq=2.0:amm=off:anc=none:br=off:cond=on:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:nm=32:nwc=1.1:stl=30:s2a=on:sos=theory:sac=on:sp=frequency:tha=some:thi=new:urr=on:uhcvi=on_6 on theBenchmark 6.96/1.25 % (11508)dis+11_3_afp=100000:afq=2.0:amm=sco:anc=none:gs=on:gsem=off:inw=on:lma=on:nm=64:nwc=1:sas=z3:sd=10:ss=axioms:st=5.0:sp=occurrence:tha=off:updr=off_202 on theBenchmark 7.02/1.28 % (11486)Refutation found. Thanks to Tanya! 7.02/1.28 % SZS status Theorem for theBenchmark 7.02/1.28 % (11510)ott+1004_5_av=off:bd=off:bs=on:cond=on:fde=none:lma=on:nm=64:nwc=1:sos=on:sp=reverse_arity:tha=off:thi=strong:uwa=one_side_constant_143 on theBenchmark 7.02/1.28 % SZS output start Proof for theBenchmark 7.02/1.28 tff(type_def_5, type, uni: $tType). 7.02/1.28 tff(type_def_6, type, ty: $tType). 7.02/1.28 tff(type_def_7, type, bool: $tType). 7.02/1.28 tff(type_def_8, type, tuple0: $tType). 7.02/1.28 tff(type_def_9, type, a: $tType). 7.02/1.28 tff(type_def_10, type, list_lpa1cm_a1rp: $tType). 7.02/1.28 tff(type_def_11, type, lpa1cm_a1rp: $tType). 7.02/1.28 tff(type_def_12, type, list_a1: $tType). 7.02/1.28 tff(func_def_0, type, witness: ty > uni). 7.02/1.28 tff(func_def_1, type, int: ty). 7.02/1.28 tff(func_def_2, type, real: ty). 7.02/1.28 tff(func_def_3, type, bool1: ty). 7.02/1.28 tff(func_def_4, type, true: bool). 7.02/1.28 tff(func_def_5, type, false: bool). 7.02/1.28 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 7.02/1.28 tff(func_def_7, type, tuple01: ty). 7.02/1.28 tff(func_def_8, type, tuple02: tuple0). 7.02/1.28 tff(func_def_9, type, qtmark: ty). 7.02/1.28 tff(func_def_10, type, list: ty > ty). 7.02/1.28 tff(func_def_11, type, nil: ty > uni). 7.02/1.28 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 7.02/1.28 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 7.02/1.28 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 7.02/1.28 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 7.02/1.28 tff(func_def_16, type, length: (ty * uni) > $int). 7.02/1.28 tff(func_def_17, type, infix_plpl: (ty * uni * uni) > uni). 7.02/1.28 tff(func_def_18, type, reverse: (ty * uni) > uni). 7.02/1.28 tff(func_def_19, type, tuple2: (ty * ty) > ty). 7.02/1.28 tff(func_def_20, type, tuple21: (ty * ty * uni * uni) > uni). 7.02/1.28 tff(func_def_21, type, tuple2_proj_1: (ty * ty * uni) > uni). 7.02/1.28 tff(func_def_22, type, tuple2_proj_2: (ty * ty * uni) > uni). 7.02/1.28 tff(func_def_23, type, combine: (ty * ty * uni * uni) > uni). 7.02/1.28 tff(func_def_24, type, a1: ty). 7.02/1.28 tff(func_def_25, type, t2tb: a > uni). 7.02/1.28 tff(func_def_26, type, tb2t: uni > a). 7.02/1.28 tff(func_def_27, type, t2tb1: list_lpa1cm_a1rp > uni). 7.02/1.28 tff(func_def_28, type, tb2t1: uni > list_lpa1cm_a1rp). 7.02/1.28 tff(func_def_29, type, t2tb2: lpa1cm_a1rp > uni). 7.02/1.28 tff(func_def_30, type, tb2t2: uni > lpa1cm_a1rp). 7.02/1.28 tff(func_def_31, type, t2tb3: list_a1 > uni). 7.02/1.28 tff(func_def_32, type, tb2t3: uni > list_a1). 7.02/1.28 tff(func_def_37, type, sK0: list_a1). 7.02/1.28 tff(func_def_38, type, sK1: list_a1). 7.02/1.28 tff(func_def_39, type, sK2: a). 7.02/1.28 tff(func_def_40, type, sK3: list_a1). 7.02/1.28 tff(func_def_41, type, sK4: list_lpa1cm_a1rp). 7.02/1.28 tff(func_def_42, type, sK5: list_a1). 7.02/1.28 tff(func_def_43, type, sK6: a). 7.02/1.28 tff(func_def_44, type, sK7: list_a1). 7.02/1.28 tff(func_def_45, type, sK8: list_a1). 7.02/1.28 tff(func_def_46, type, sK9: (ty * uni * uni) > uni). 7.02/1.28 tff(func_def_47, type, sK10: (ty * uni * uni) > uni). 7.02/1.28 tff(pred_def_1, type, sort: (ty * uni) > $o). 7.02/1.28 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 7.02/1.28 tff(f3965,plain,( 7.02/1.28 $false), 7.02/1.28 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])). 7.02/1.28 tff(f3964,plain,( 7.02/1.28 ~spl11_71 | ~spl11_5 | ~spl11_7 | ~spl11_9 | ~spl11_10 | ~spl11_16 | ~spl11_26), 7.02/1.28 inference(avatar_split_clause,[],[f3959,f533,f350,f289,f283,f272,f250,f3961])). 7.02/1.28 tff(f3961,plain,( 7.02/1.28 spl11_71 <=> sK1 = tb2t3(t2tb3(sK1))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_71])])). 7.02/1.28 tff(f250,plain,( 7.02/1.28 spl11_5 <=> length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_5])])). 7.02/1.28 tff(f272,plain,( 7.02/1.28 spl11_7 <=> t2tb3(sK0) = cons(a1,t2tb(sK2),t2tb3(sK3))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_7])])). 7.02/1.28 tff(f283,plain,( 7.02/1.28 spl11_9 <=> t2tb3(sK1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_9])])). 7.02/1.28 tff(f289,plain,( 7.02/1.28 spl11_10 <=> t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_10])])). 7.02/1.28 tff(f350,plain,( 7.02/1.28 spl11_16 <=> t2tb1(sK4) = combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_16])])). 7.02/1.28 tff(f533,plain,( 7.02/1.28 spl11_26 <=> length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK3)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_26])])). 7.02/1.28 tff(f3959,plain,( 7.02/1.28 sK1 != tb2t3(t2tb3(sK1)) | (~spl11_5 | ~spl11_7 | ~spl11_9 | ~spl11_10 | ~spl11_16 | ~spl11_26)), 7.02/1.28 inference(forward_demodulation,[],[f3958,f285])). 7.02/1.28 tff(f285,plain,( 7.02/1.28 t2tb3(sK1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)) | ~spl11_9), 7.02/1.28 inference(avatar_component_clause,[],[f283])). 7.02/1.28 tff(f3958,plain,( 7.02/1.28 sK1 != tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))) | (~spl11_5 | ~spl11_7 | ~spl11_10 | ~spl11_16 | ~spl11_26)), 7.02/1.28 inference(forward_demodulation,[],[f3957,f180])). 7.02/1.28 tff(f180,plain,( 7.02/1.28 ( ! [X0:ty,X1:uni] : (reverse(X0,reverse(X0,X1)) = X1) )), 7.02/1.28 inference(cnf_transformation,[],[f82])). 7.02/1.28 tff(f82,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni] : reverse(X0,reverse(X0,X1)) = X1), 7.02/1.28 inference(rectify,[],[f32])). 7.02/1.28 tff(f32,axiom,( 7.02/1.28 ! [X2 : ty,X17 : uni] : reverse(X2,reverse(X2,X17)) = X17), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_reverse)). 7.02/1.28 tff(f3957,plain,( 7.02/1.28 sK1 != tb2t3(infix_plpl(a1,reverse(a1,reverse(a1,t2tb3(sK8))),t2tb3(sK5))) | (~spl11_5 | ~spl11_7 | ~spl11_10 | ~spl11_16 | ~spl11_26)), 7.02/1.28 inference(forward_demodulation,[],[f3956,f291])). 7.02/1.28 tff(f291,plain,( 7.02/1.28 t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7)) | ~spl11_10), 7.02/1.28 inference(avatar_component_clause,[],[f289])). 7.02/1.28 tff(f3956,plain,( 7.02/1.28 sK1 != tb2t3(infix_plpl(a1,reverse(a1,reverse(a1,t2tb3(sK8))),cons(a1,t2tb(sK6),t2tb3(sK7)))) | (~spl11_5 | ~spl11_7 | ~spl11_16 | ~spl11_26)), 7.02/1.28 inference(forward_demodulation,[],[f3955,f217])). 7.02/1.28 tff(f217,plain,( 7.02/1.28 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (infix_plpl(X0,reverse(X0,cons(X0,X3,X1)),X2) = infix_plpl(X0,reverse(X0,X1),cons(X0,X3,X2))) )), 7.02/1.28 inference(cnf_transformation,[],[f109])). 7.02/1.28 tff(f109,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : infix_plpl(X0,reverse(X0,cons(X0,X3,X1)),X2) = infix_plpl(X0,reverse(X0,X1),cons(X0,X3,X2))), 7.02/1.28 inference(rectify,[],[f26])). 7.02/1.28 tff(f26,axiom,( 7.02/1.28 ! [X2 : ty,X4 : uni,X5 : uni,X3 : uni] : infix_plpl(X2,reverse(X2,cons(X2,X3,X4)),X5) = infix_plpl(X2,reverse(X2,X4),cons(X2,X3,X5))), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_append)). 7.02/1.28 tff(f3955,plain,( 7.02/1.28 sK1 != tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK6),reverse(a1,t2tb3(sK8)))),t2tb3(sK7))) | (~spl11_5 | ~spl11_7 | ~spl11_16 | ~spl11_26)), 7.02/1.28 inference(trivial_inequality_removal,[],[f3954])). 7.02/1.28 tff(f3954,plain,( 7.02/1.28 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_5 | ~spl11_7 | ~spl11_16 | ~spl11_26)), 7.02/1.28 inference(forward_demodulation,[],[f3953,f535])). 7.02/1.28 tff(f535,plain,( 7.02/1.28 length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK3))) | ~spl11_26), 7.02/1.28 inference(avatar_component_clause,[],[f533])). 7.02/1.28 tff(f3953,plain,( 7.02/1.28 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_5 | ~spl11_7 | ~spl11_16)), 7.02/1.28 inference(forward_demodulation,[],[f3952,f252])). 7.02/1.28 tff(f252,plain,( 7.02/1.28 length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8)) | ~spl11_5), 7.02/1.28 inference(avatar_component_clause,[],[f250])). 7.02/1.28 tff(f3952,plain,( 7.02/1.28 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)), 7.02/1.28 inference(forward_demodulation,[],[f3951,f182])). 7.02/1.28 tff(f182,plain,( 7.02/1.28 ( ! [X0:ty,X1:uni] : (length(X0,X1) = length(X0,reverse(X0,X1))) )), 7.02/1.28 inference(cnf_transformation,[],[f84])). 7.02/1.28 tff(f84,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni] : length(X0,X1) = length(X0,reverse(X0,X1))), 7.02/1.28 inference(rectify,[],[f30])). 7.02/1.28 tff(f30,axiom,( 7.02/1.28 ! [X2 : ty,X17 : uni] : length(X2,X17) = length(X2,reverse(X2,X17))), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_length)). 7.02/1.28 tff(f3951,plain,( 7.02/1.28 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)), 7.02/1.28 inference(forward_demodulation,[],[f3950,f169])). 7.02/1.28 tff(f169,plain,( 7.02/1.28 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2))) )), 7.02/1.28 inference(cnf_transformation,[],[f75])). 7.02/1.28 tff(f75,plain,( 7.02/1.28 ! [X0 : ty] : (0 = length(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)))), 7.02/1.28 inference(rectify,[],[f42])). 7.02/1.28 tff(f42,axiom,( 7.02/1.28 ! [X2 : ty] : (0 = length(X2,nil(X2)) & ! [X3 : uni,X10 : uni] : length(X2,cons(X2,X3,X10)) = $sum(1,length(X2,X10)))), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def)). 7.02/1.28 tff(f3950,plain,( 7.02/1.28 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)), 7.02/1.28 inference(equality_resolution,[],[f3875])). 7.02/1.28 tff(f3875,plain,( 7.02/1.28 ( ! [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)), 7.02/1.28 inference(backward_demodulation,[],[f438,f1242])). 7.02/1.28 tff(f1242,plain,( 7.02/1.28 ( ! [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)), 7.02/1.28 inference(superposition,[],[f362,f274])). 7.02/1.28 tff(f274,plain,( 7.02/1.28 t2tb3(sK0) = cons(a1,t2tb(sK2),t2tb3(sK3)) | ~spl11_7), 7.02/1.28 inference(avatar_component_clause,[],[f272])). 7.02/1.28 tff(f362,plain,( 7.02/1.28 ( ! [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), 7.02/1.28 inference(superposition,[],[f201,f352])). 7.02/1.28 tff(f352,plain,( 7.02/1.28 t2tb1(sK4) = combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))) | ~spl11_16), 7.02/1.28 inference(avatar_component_clause,[],[f350])). 7.02/1.28 tff(f201,plain,( 7.02/1.28 ( ! [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))) )), 7.02/1.28 inference(cnf_transformation,[],[f97])). 7.02/1.28 tff(f97,plain,( 7.02/1.28 ! [X0 : ty,X1 : ty,X2 : uni] : (! [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))) & nil(tuple2(X0,X1)) = combine(X1,X0,X2,nil(X1)))), 7.02/1.28 inference(rectify,[],[f59])). 7.02/1.28 tff(f59,axiom,( 7.02/1.28 ! [X2 : ty,X21 : ty,X3 : uni] : (! [X10 : uni,X11 : uni] : (nil(tuple2(X2,X21)) = combine(X21,X2,nil(X2),cons(X21,X10,X11)) & ! [X14 : uni,X15 : uni] : combine(X21,X2,cons(X2,X14,X15),cons(X21,X10,X11)) = cons(tuple2(X2,X21),tuple21(X2,X21,X14,X10),combine(X21,X2,X15,X11))) & combine(X21,X2,X3,nil(X21)) = nil(tuple2(X2,X21)))), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',combine_def)). 7.02/1.28 tff(f438,plain,( 7.02/1.28 ( ! [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)))) )), 7.02/1.28 inference(forward_demodulation,[],[f437,f182])). 7.02/1.28 tff(f437,plain,( 7.02/1.28 ( ! [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,reverse(a1,X0)) | sK1 != tb2t3(infix_plpl(a1,reverse(a1,X0),t2tb3(sK7)))) )), 7.02/1.28 inference(superposition,[],[f306,f180])). 7.02/1.28 tff(f306,plain,( 7.02/1.28 ( ! [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))) | length(a1,t2tb3(sK0)) != length(a1,X0) | sK1 != tb2t3(infix_plpl(a1,X0,t2tb3(sK7)))) )), 7.02/1.28 inference(superposition,[],[f154,f164])). 7.02/1.28 tff(f164,plain,( 7.02/1.28 ( ! [X0:uni] : (t2tb3(tb2t3(X0)) = X0) )), 7.02/1.28 inference(cnf_transformation,[],[f8])). 7.02/1.28 tff(f8,axiom,( 7.02/1.28 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR3)). 7.02/1.28 tff(f154,plain,( 7.02/1.28 ( ! [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))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0)) | sK1 != tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK7)))) )), 7.02/1.28 inference(cnf_transformation,[],[f138])). 7.02/1.28 tff(f138,plain,( 7.02/1.28 (((! [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))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0)) | sK1 != tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK7)))) & sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7)))) & (sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))) & length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8)) & sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))))) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3))) & sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3)))) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0)))), 7.02/1.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f132,f137,f136,f135,f134,f133])). 7.02/1.28 tff(f133,plain,( 7.02/1.28 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (! [X8 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X6)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X8)))) | length(a1,t2tb3(X0)) != length(a1,t2tb3(X8)) | tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != X1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = X1)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))) => (? [X3 : list_a1,X2 : a] : (? [X5 : list_a1,X4 : list_lpa1cm_a1rp] : (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X6)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0)) | tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1)) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = sK0) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0))))), 7.02/1.28 introduced(choice_axiom,[])). 7.02/1.28 tff(f134,plain,( 7.02/1.28 ? [X3 : list_a1,X2 : a] : (? [X5 : list_a1,X4 : list_lpa1cm_a1rp] : (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X6)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(sK0),reverse(a1,t2tb3(X8)))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0)) | tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1)) & ~$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] : (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(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = X4 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1)) & ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3))) & sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))))), 7.02/1.28 introduced(choice_axiom,[])). 7.02/1.28 tff(f135,plain,( 7.02/1.28 ? [X5 : list_a1,X4 : list_lpa1cm_a1rp] : (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (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(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = X4 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = sK1)) => (? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (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(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK5) & ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = sK4 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & sK1 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK5)))))), 7.02/1.28 introduced(choice_axiom,[])). 7.02/1.28 tff(f136,plain,( 7.02/1.28 ? [X7 : list_a1,X6 : a] : (! [X8 : list_a1] : (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(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK5) => (! [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))) | length(a1,t2tb3(X8)) != length(a1,t2tb3(sK0)) | sK1 != tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK7)))) & sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))))), 7.02/1.28 introduced(choice_axiom,[])). 7.02/1.28 tff(f137,plain,( 7.02/1.28 ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(X9)))) = sK4 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK3)) & sK1 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK5)))) => (sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))) & length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8)) & sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))))), 7.02/1.28 introduced(choice_axiom,[])). 7.02/1.28 tff(f132,plain,( 7.02/1.28 ? [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] : (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(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != X1) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X5) & ? [X9 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X9)))) = X4 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X9)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X5))) = X1)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))))), 7.02/1.28 inference(rectify,[],[f117])). 7.02/1.28 tff(f117,plain,( 7.02/1.28 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X7 : a,X8 : list_a1] : (! [X9 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X7)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X9)))) | length(a1,t2tb3(X9)) != length(a1,t2tb3(X0)) | tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) != X1) & tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5) & ? [X6 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X6)))) = X4 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X6)) & tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X1)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))))), 7.02/1.28 inference(flattening,[],[f116])). 7.02/1.28 tff(f116,plain,( 7.02/1.28 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : ((? [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X7 : a,X8 : list_a1] : (! [X9 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X7)),t2tb1(X4))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X9)))) | length(a1,t2tb3(X9)) != length(a1,t2tb3(X0)) | tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) != X1) & tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5) & ? [X6 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X6)))) = X4 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X6)) & tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X1)) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3)))) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))))), 7.02/1.28 inference(ennf_transformation,[],[f63])). 7.02/1.28 tff(f63,plain,( 7.02/1.28 ~! [X0 : list_a1,X1 : list_a1] : (~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))) => ! [X2 : a,X3 : list_a1] : (tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 => (~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X3))) => ! [X4 : list_lpa1cm_a1rp,X5 : list_a1] : (? [X6 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X6)))) = X4 & length(a1,t2tb3(X3)) = length(a1,t2tb3(X6)) & tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X1) => ! [X7 : a,X8 : list_a1] : (tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5 => ? [X9 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X7)),t2tb1(X4))) = tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X9)))) & length(a1,t2tb3(X9)) = length(a1,t2tb3(X0)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X1))))))), 7.02/1.28 inference(rectify,[],[f60])). 7.02/1.28 tff(f60,plain,( 7.02/1.28 ~! [X3 : list_a1,X9 : list_a1] : (~$less(length(a1,t2tb3(X9)),length(a1,t2tb3(X3))) => ! [X10 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X3 => (~$less(length(a1,t2tb3(X9)),length(a1,t2tb3(X11))) => ! [X12 : list_lpa1cm_a1rp,X13 : list_a1] : (? [X16 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X11),reverse(a1,t2tb3(X16)))) = X12 & length(a1,t2tb3(X16)) = length(a1,t2tb3(X11)) & tb2t3(infix_plpl(a1,t2tb3(X16),t2tb3(X13))) = X9) => ! [X14 : a,X15 : list_a1] : (tb2t3(cons(a1,t2tb(X14),t2tb3(X15))) = X13 => ? [X16 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X10),t2tb(X14)),t2tb1(X12))) = tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X16)))) & length(a1,t2tb3(X3)) = length(a1,t2tb3(X16)) & tb2t3(infix_plpl(a1,t2tb3(X16),t2tb3(X15))) = X9))))))), 7.02/1.28 inference(theory_normalization,[],[f6])). 7.02/1.28 tff(f6,negated_conjecture,( 7.02/1.28 ~! [X3 : list_a1,X9 : list_a1] : ($lesseq(length(a1,t2tb3(X3)),length(a1,t2tb3(X9))) => ! [X10 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X3 => ($lesseq(length(a1,t2tb3(X11)),length(a1,t2tb3(X9))) => ! [X12 : list_lpa1cm_a1rp,X13 : list_a1] : (? [X16 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X11),reverse(a1,t2tb3(X16)))) = X12 & length(a1,t2tb3(X16)) = length(a1,t2tb3(X11)) & tb2t3(infix_plpl(a1,t2tb3(X16),t2tb3(X13))) = X9) => ! [X14 : a,X15 : list_a1] : (tb2t3(cons(a1,t2tb(X14),t2tb3(X15))) = X13 => ? [X16 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X10),t2tb(X14)),t2tb1(X12))) = tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X16)))) & length(a1,t2tb3(X3)) = length(a1,t2tb3(X16)) & tb2t3(infix_plpl(a1,t2tb3(X16),t2tb3(X15))) = X9))))))), 7.02/1.28 inference(negated_conjecture,[],[f5])). 7.02/1.28 tff(f5,conjecture,( 7.02/1.28 ! [X3 : list_a1,X9 : list_a1] : ($lesseq(length(a1,t2tb3(X3)),length(a1,t2tb3(X9))) => ! [X10 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X3 => ($lesseq(length(a1,t2tb3(X11)),length(a1,t2tb3(X9))) => ! [X12 : list_lpa1cm_a1rp,X13 : list_a1] : (? [X16 : list_a1] : (tb2t1(combine(a1,a1,t2tb3(X11),reverse(a1,t2tb3(X16)))) = X12 & length(a1,t2tb3(X16)) = length(a1,t2tb3(X11)) & tb2t3(infix_plpl(a1,t2tb3(X16),t2tb3(X13))) = X9) => ! [X14 : a,X15 : list_a1] : (tb2t3(cons(a1,t2tb(X14),t2tb3(X15))) = X13 => ? [X16 : list_a1] : (tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X10),t2tb(X14)),t2tb1(X12))) = tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X16)))) & length(a1,t2tb3(X3)) = length(a1,t2tb3(X16)) & tb2t3(infix_plpl(a1,t2tb3(X16),t2tb3(X15))) = X9))))))), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_convolution_rec)). 7.02/1.28 tff(f3934,plain,( 7.02/1.28 ~spl11_70 | ~spl11_42), 7.02/1.28 inference(avatar_split_clause,[],[f999,f853,f3931])). 7.02/1.28 tff(f3931,plain,( 7.02/1.28 spl11_70 <=> mem(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_70])])). 7.02/1.28 tff(f853,plain,( 7.02/1.28 spl11_42 <=> sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_42])])). 7.02/1.28 tff(f999,plain,( 7.02/1.28 ~mem(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1))) | ~spl11_42), 7.02/1.28 inference(resolution,[],[f855,f189])). 7.02/1.28 tff(f189,plain,( 7.02/1.28 ( ! [X0:ty,X1:uni] : (~mem(X0,X1,nil(X0)) | ~sort(X0,X1)) )), 7.02/1.28 inference(cnf_transformation,[],[f140])). 7.02/1.28 tff(f140,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((mem(X0,X1,X3) | X1 = X2 | ~mem(X0,X1,cons(X0,X2,X3))) & (mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2))) | ~sort(X0,X2))) | ~sort(X0,X1))), 7.02/1.28 inference(flattening,[],[f139])). 7.02/1.28 tff(f139,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((((mem(X0,X1,X3) | X1 = X2) | ~mem(X0,X1,cons(X0,X2,X3))) & (mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2))) | ~sort(X0,X2))) | ~sort(X0,X1))), 7.02/1.28 inference(nnf_transformation,[],[f120])). 7.02/1.28 tff(f120,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((mem(X0,X1,X3) | X1 = X2) <=> mem(X0,X1,cons(X0,X2,X3))) | ~sort(X0,X2))) | ~sort(X0,X1))), 7.02/1.28 inference(ennf_transformation,[],[f87])). 7.02/1.28 tff(f87,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => (~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (sort(X0,X2) => ((mem(X0,X1,X3) | X1 = X2) <=> mem(X0,X1,cons(X0,X2,X3))))))), 7.02/1.28 inference(rectify,[],[f50])). 7.02/1.28 tff(f50,axiom,( 7.02/1.28 ! [X2 : ty,X3 : uni] : (sort(X2,X3) => (~mem(X2,X3,nil(X2)) & ! [X10 : uni,X11 : uni] : (sort(X2,X10) => ((mem(X2,X3,X11) | X3 = X10) <=> mem(X2,X3,cons(X2,X10,X11))))))), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_def)). 7.02/1.28 tff(f855,plain,( 7.02/1.28 sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_42), 7.02/1.28 inference(avatar_component_clause,[],[f853])). 7.02/1.28 tff(f3929,plain,( 7.02/1.28 ~spl11_69 | ~spl11_40), 7.02/1.28 inference(avatar_split_clause,[],[f986,f844,f3926])). 7.02/1.28 tff(f3926,plain,( 7.02/1.28 spl11_69 <=> mem(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_69])])). 7.02/1.28 tff(f844,plain,( 7.02/1.28 spl11_40 <=> sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_40])])). 7.02/1.28 tff(f986,plain,( 7.02/1.28 ~mem(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))),nil(list(a1))) | ~spl11_40), 7.02/1.28 inference(resolution,[],[f846,f189])). 7.02/1.28 tff(f846,plain,( 7.02/1.28 sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_40), 7.02/1.28 inference(avatar_component_clause,[],[f844])). 7.02/1.28 tff(f3922,plain,( 7.02/1.28 ~spl11_68 | ~spl11_38), 7.02/1.28 inference(avatar_split_clause,[],[f956,f755,f3919])). 7.02/1.28 tff(f3919,plain,( 7.02/1.28 spl11_68 <=> mem(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_68])])). 7.02/1.28 tff(f755,plain,( 7.02/1.28 spl11_38 <=> sort(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_38])])). 7.02/1.28 tff(f956,plain,( 7.02/1.28 ~mem(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1))) | ~spl11_38), 7.02/1.28 inference(resolution,[],[f757,f189])). 7.02/1.28 tff(f757,plain,( 7.02/1.28 sort(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_38), 7.02/1.28 inference(avatar_component_clause,[],[f755])). 7.02/1.28 tff(f3916,plain,( 7.02/1.28 ~spl11_67 | ~spl11_37), 7.02/1.28 inference(avatar_split_clause,[],[f926,f750,f3913])). 7.02/1.28 tff(f3913,plain,( 7.02/1.28 spl11_67 <=> mem(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_67])])). 7.02/1.28 tff(f750,plain,( 7.02/1.28 spl11_37 <=> sort(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_37])])). 7.02/1.28 tff(f926,plain,( 7.02/1.28 ~mem(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))),nil(list(a1))) | ~spl11_37), 7.02/1.28 inference(resolution,[],[f752,f189])). 7.02/1.28 tff(f752,plain,( 7.02/1.28 sort(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_37), 7.02/1.28 inference(avatar_component_clause,[],[f750])). 7.02/1.28 tff(f2960,plain,( 7.02/1.28 ~spl11_23 | spl11_66 | ~spl11_10), 7.02/1.28 inference(avatar_split_clause,[],[f784,f289,f2958,f502])). 7.02/1.28 tff(f502,plain,( 7.02/1.28 spl11_23 <=> sort(a1,t2tb(sK6))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_23])])). 7.02/1.28 tff(f2958,plain,( 7.02/1.28 spl11_66 <=> ! [X3 : uni,X4 : uni] : (mem(a1,X4,infix_plpl(a1,t2tb3(sK5),X3)) | ~sort(a1,X4) | ~mem(a1,X4,infix_plpl(a1,t2tb3(sK7),X3)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_66])])). 7.02/1.28 tff(f784,plain,( 7.02/1.28 ( ! [X4:uni,X3:uni] : (mem(a1,X4,infix_plpl(a1,t2tb3(sK5),X3)) | ~mem(a1,X4,infix_plpl(a1,t2tb3(sK7),X3)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X4)) ) | ~spl11_10), 7.02/1.28 inference(superposition,[],[f187,f323])). 7.02/1.28 tff(f323,plain,( 7.02/1.28 ( ! [X0:uni] : (cons(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X0)) = infix_plpl(a1,t2tb3(sK5),X0)) ) | ~spl11_10), 7.02/1.28 inference(superposition,[],[f184,f291])). 7.02/1.28 tff(f184,plain,( 7.02/1.28 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (infix_plpl(X0,cons(X0,X2,X3),X1) = cons(X0,X2,infix_plpl(X0,X3,X1))) )), 7.02/1.28 inference(cnf_transformation,[],[f85])). 7.02/1.28 tff(f85,plain,( 7.02/1.28 ! [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)), 7.02/1.28 inference(rectify,[],[f31])). 7.02/1.28 tff(f31,axiom,( 7.02/1.28 ! [X2 : ty,X5 : uni] : (! [X3 : uni,X10 : uni] : infix_plpl(X2,cons(X2,X3,X10),X5) = cons(X2,X3,infix_plpl(X2,X10,X5)) & infix_plpl(X2,nil(X2),X5) = X5)), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',infix_plpl_def)). 7.02/1.28 tff(f187,plain,( 7.02/1.28 ( ! [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)) )), 7.02/1.28 inference(cnf_transformation,[],[f140])). 7.02/1.28 tff(f2901,plain,( 7.02/1.28 ~spl11_18 | spl11_65 | ~spl11_7), 7.02/1.28 inference(avatar_split_clause,[],[f730,f272,f2899,f384])). 7.02/1.28 tff(f384,plain,( 7.02/1.28 spl11_18 <=> sort(a1,t2tb(sK2))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_18])])). 7.02/1.28 tff(f2899,plain,( 7.02/1.28 spl11_65 <=> ! [X3 : uni,X4 : uni] : (mem(a1,X4,infix_plpl(a1,t2tb3(sK0),X3)) | ~sort(a1,X4) | ~mem(a1,X4,infix_plpl(a1,t2tb3(sK3),X3)))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_65])])). 7.02/1.28 tff(f730,plain,( 7.02/1.28 ( ! [X4:uni,X3:uni] : (mem(a1,X4,infix_plpl(a1,t2tb3(sK0),X3)) | ~mem(a1,X4,infix_plpl(a1,t2tb3(sK3),X3)) | ~sort(a1,t2tb(sK2)) | ~sort(a1,X4)) ) | ~spl11_7), 7.02/1.28 inference(superposition,[],[f187,f295])). 7.02/1.28 tff(f295,plain,( 7.02/1.28 ( ! [X0:uni] : (cons(a1,t2tb(sK2),infix_plpl(a1,t2tb3(sK3),X0)) = infix_plpl(a1,t2tb3(sK0),X0)) ) | ~spl11_7), 7.02/1.28 inference(superposition,[],[f184,f274])). 7.02/1.28 tff(f2531,plain,( 7.02/1.28 spl11_64 | ~spl11_24), 7.02/1.28 inference(avatar_split_clause,[],[f514,f506,f2528])). 7.02/1.28 tff(f2528,plain,( 7.02/1.28 spl11_64 <=> t2tb3(sK5) = infix_plpl(a1,sK9(a1,t2tb(sK6),t2tb3(sK5)),cons(a1,t2tb(sK6),sK10(a1,t2tb(sK6),t2tb3(sK5))))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_64])])). 7.02/1.28 tff(f506,plain,( 7.02/1.28 spl11_24 <=> mem(a1,t2tb(sK6),t2tb3(sK5))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_24])])). 7.02/1.28 tff(f514,plain,( 7.02/1.28 t2tb3(sK5) = infix_plpl(a1,sK9(a1,t2tb(sK6),t2tb3(sK5)),cons(a1,t2tb(sK6),sK10(a1,t2tb(sK6),t2tb3(sK5)))) | ~spl11_24), 7.02/1.28 inference(resolution,[],[f508,f207])). 7.02/1.28 tff(f207,plain,( 7.02/1.28 ( ! [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)) )), 7.02/1.28 inference(cnf_transformation,[],[f143])). 7.02/1.28 tff(f143,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni,X2 : uni] : ((sort(list(X0),sK9(X0,X1,X2)) & sort(list(X0),sK10(X0,X1,X2)) & infix_plpl(X0,sK9(X0,X1,X2),cons(X0,X1,sK10(X0,X1,X2))) = X2) | ~mem(X0,X1,X2))), 7.02/1.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f126,f142])). 7.02/1.28 tff(f142,plain,( 7.02/1.28 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X3) & sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2) => (sort(list(X0),sK9(X0,X1,X2)) & sort(list(X0),sK10(X0,X1,X2)) & infix_plpl(X0,sK9(X0,X1,X2),cons(X0,X1,sK10(X0,X1,X2))) = X2))), 7.02/1.28 introduced(choice_axiom,[])). 7.02/1.28 tff(f126,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X3) & sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2) | ~mem(X0,X1,X2))), 7.02/1.28 inference(ennf_transformation,[],[f102])). 7.02/1.28 tff(f102,plain,( 7.02/1.28 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => ? [X3 : uni,X4 : uni] : (sort(list(X0),X3) & sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2))), 7.02/1.28 inference(rectify,[],[f49])). 7.02/1.28 tff(f49,axiom,( 7.02/1.28 ! [X2 : ty,X3 : uni,X17 : uni] : (mem(X2,X3,X17) => ? [X4 : uni,X5 : uni] : (sort(list(X2),X4) & sort(list(X2),X5) & infix_plpl(X2,X4,cons(X2,X3,X5)) = X17))), 7.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_decomp)). 7.02/1.28 tff(f508,plain,( 7.02/1.28 mem(a1,t2tb(sK6),t2tb3(sK5)) | ~spl11_24), 7.02/1.28 inference(avatar_component_clause,[],[f506])). 7.02/1.28 tff(f2520,plain,( 7.02/1.28 spl11_63 | ~spl11_19), 7.02/1.28 inference(avatar_split_clause,[],[f410,f388,f2517])). 7.02/1.28 tff(f2517,plain,( 7.02/1.28 spl11_63 <=> t2tb3(sK0) = infix_plpl(a1,sK9(a1,t2tb(sK2),t2tb3(sK0)),cons(a1,t2tb(sK2),sK10(a1,t2tb(sK2),t2tb3(sK0))))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_63])])). 7.02/1.28 tff(f388,plain,( 7.02/1.28 spl11_19 <=> mem(a1,t2tb(sK2),t2tb3(sK0))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_19])])). 7.02/1.28 tff(f410,plain,( 7.02/1.28 t2tb3(sK0) = infix_plpl(a1,sK9(a1,t2tb(sK2),t2tb3(sK0)),cons(a1,t2tb(sK2),sK10(a1,t2tb(sK2),t2tb3(sK0)))) | ~spl11_19), 7.02/1.28 inference(resolution,[],[f390,f207])). 7.02/1.28 tff(f390,plain,( 7.02/1.28 mem(a1,t2tb(sK2),t2tb3(sK0)) | ~spl11_19), 7.02/1.28 inference(avatar_component_clause,[],[f388])). 7.02/1.28 tff(f2387,plain,( 7.02/1.28 spl11_61 | ~spl11_62 | ~spl11_5 | ~spl11_26), 7.02/1.28 inference(avatar_split_clause,[],[f1281,f533,f250,f2384,f2381])). 7.02/1.28 tff(f2381,plain,( 7.02/1.28 spl11_61 <=> ! [X5 : uni] : nil(a1) = cons(a1,X5,t2tb3(sK8))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_61])])). 7.02/1.28 tff(f2384,plain,( 7.02/1.28 spl11_62 <=> 0 = length(a1,t2tb3(sK0))), 7.02/1.28 introduced(avatar_definition,[new_symbols(naming,[spl11_62])])). 7.02/1.28 tff(f1281,plain,( 7.02/1.28 ( ! [X5:uni] : (0 != length(a1,t2tb3(sK0)) | nil(a1) = cons(a1,X5,t2tb3(sK8))) ) | (~spl11_5 | ~spl11_26)), 7.02/1.28 inference(superposition,[],[f191,f1219])). 7.02/1.29 tff(f1219,plain,( 7.02/1.29 ( ! [X0:uni] : (length(a1,t2tb3(sK0)) = length(a1,cons(a1,X0,t2tb3(sK8)))) ) | (~spl11_5 | ~spl11_26)), 7.02/1.29 inference(forward_demodulation,[],[f1218,f535])). 7.02/1.29 tff(f1218,plain,( 7.02/1.29 ( ! [X0:uni] : ($sum(1,length(a1,t2tb3(sK3))) = length(a1,cons(a1,X0,t2tb3(sK8)))) ) | ~spl11_5), 7.02/1.29 inference(forward_demodulation,[],[f1217,f183])). 7.02/1.29 tff(f183,plain,( 7.02/1.29 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 7.02/1.29 inference(cnf_transformation,[],[f85])). 7.02/1.29 tff(f1217,plain,( 7.02/1.29 ( ! [X0:uni] : ($sum(1,length(a1,t2tb3(sK3))) = length(a1,infix_plpl(a1,nil(a1),cons(a1,X0,t2tb3(sK8))))) ) | ~spl11_5), 7.02/1.29 inference(forward_demodulation,[],[f1216,f169])). 7.02/1.29 tff(f1216,plain,( 7.02/1.29 ( ! [X0:uni] : (length(a1,infix_plpl(a1,nil(a1),cons(a1,X0,t2tb3(sK8)))) = length(a1,cons(a1,X0,t2tb3(sK3)))) ) | ~spl11_5), 7.02/1.29 inference(forward_demodulation,[],[f1207,f183])). 7.02/1.29 tff(f1207,plain,( 7.02/1.29 ( ! [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_5), 7.02/1.29 inference(superposition,[],[f378,f172])). 7.02/1.29 tff(f172,plain,( 7.02/1.29 ( ! [X0:ty] : (nil(X0) = reverse(X0,nil(X0))) )), 7.02/1.29 inference(cnf_transformation,[],[f76])). 7.02/1.29 tff(f76,plain,( 7.02/1.29 ! [X0 : ty] : (nil(X0) = reverse(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : reverse(X0,cons(X0,X1,X2)) = infix_plpl(X0,reverse(X0,X2),cons(X0,X1,nil(X0))))), 7.02/1.29 inference(rectify,[],[f39])). 7.02/1.29 tff(f39,axiom,( 7.02/1.29 ! [X2 : ty] : (nil(X2) = reverse(X2,nil(X2)) & ! [X3 : uni,X10 : uni] : reverse(X2,cons(X2,X3,X10)) = infix_plpl(X2,reverse(X2,X10),cons(X2,X3,nil(X2))))), 7.02/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_def)). 7.02/1.29 tff(f378,plain,( 7.02/1.29 ( ! [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_5), 7.02/1.29 inference(forward_demodulation,[],[f368,f217])). 7.02/1.29 tff(f368,plain,( 7.02/1.29 ( ! [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_5), 7.02/1.29 inference(superposition,[],[f267,f217])). 7.02/1.29 tff(f267,plain,( 7.02/1.29 ( ! [X0:uni] : (length(a1,infix_plpl(a1,X0,t2tb3(sK8))) = length(a1,infix_plpl(a1,X0,t2tb3(sK3)))) ) | ~spl11_5), 7.02/1.29 inference(forward_demodulation,[],[f263,f198])). 7.02/1.29 tff(f198,plain,( 7.02/1.29 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,infix_plpl(X0,X1,X2)) = $sum(length(X0,X1),length(X0,X2))) )), 7.02/1.29 inference(cnf_transformation,[],[f95])). 7.02/1.29 tff(f95,plain,( 7.02/1.29 ! [X0 : ty,X1 : uni,X2 : uni] : length(X0,infix_plpl(X0,X1,X2)) = $sum(length(X0,X1),length(X0,X2))), 7.02/1.29 inference(rectify,[],[f18])). 7.02/1.29 tff(f18,axiom,( 7.02/1.29 ! [X2 : ty,X4 : uni,X5 : uni] : length(X2,infix_plpl(X2,X4,X5)) = $sum(length(X2,X4),length(X2,X5))), 7.02/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',append_length)). 7.02/1.29 tff(f263,plain,( 7.02/1.29 ( ! [X0:uni] : (length(a1,infix_plpl(a1,X0,t2tb3(sK8))) = $sum(length(a1,X0),length(a1,t2tb3(sK3)))) ) | ~spl11_5), 7.02/1.29 inference(superposition,[],[f198,f252])). 7.02/1.29 tff(f191,plain,( 7.02/1.29 ( ! [X0:ty,X1:uni] : (nil(X0) = X1 | 0 != length(X0,X1)) )), 7.02/1.29 inference(cnf_transformation,[],[f141])). 7.02/1.29 tff(f141,plain,( 7.02/1.29 ! [X0 : ty,X1 : uni] : ((nil(X0) = X1 | 0 != length(X0,X1)) & (0 = length(X0,X1) | nil(X0) != X1))), 7.02/1.29 inference(nnf_transformation,[],[f88])). 7.02/1.29 tff(f88,plain,( 7.02/1.29 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 <=> 0 = length(X0,X1))), 7.02/1.29 inference(rectify,[],[f36])). 7.02/1.29 tff(f36,axiom,( 7.02/1.29 ! [X2 : ty,X17 : uni] : (nil(X2) = X17 <=> 0 = length(X2,X17))), 7.02/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_nil)). 7.02/1.29 tff(f2320,plain,( 7.02/1.29 spl11_59 | ~spl11_60 | ~spl11_5), 7.02/1.29 inference(avatar_split_clause,[],[f891,f250,f2317,f2313])). 7.02/1.29 tff(f2313,plain,( 7.02/1.29 spl11_59 <=> nil(a1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK8))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_59])])). 7.02/1.29 tff(f2317,plain,( 7.02/1.29 spl11_60 <=> 0 = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK3)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_60])])). 7.02/1.29 tff(f891,plain,( 7.02/1.29 0 != length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK3))) | nil(a1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK8)) | ~spl11_5), 7.02/1.29 inference(superposition,[],[f371,f268])). 7.02/1.29 tff(f268,plain,( 7.02/1.29 ( ! [X1:uni] : (length(a1,infix_plpl(a1,t2tb3(sK8),X1)) = length(a1,infix_plpl(a1,t2tb3(sK3),X1))) ) | ~spl11_5), 7.02/1.29 inference(forward_demodulation,[],[f264,f198])). 7.02/1.29 tff(f264,plain,( 7.02/1.29 ( ! [X1:uni] : (length(a1,infix_plpl(a1,t2tb3(sK8),X1)) = $sum(length(a1,t2tb3(sK3)),length(a1,X1))) ) | ~spl11_5), 7.02/1.29 inference(superposition,[],[f198,f252])). 7.02/1.29 tff(f371,plain,( 7.02/1.29 ( ! [X4:uni] : (0 != length(a1,infix_plpl(a1,X4,t2tb3(sK3))) | nil(a1) = infix_plpl(a1,X4,t2tb3(sK8))) ) | ~spl11_5), 7.02/1.29 inference(superposition,[],[f191,f267])). 7.02/1.29 tff(f2015,plain,( 7.02/1.29 spl11_58 | ~spl11_10), 7.02/1.29 inference(avatar_split_clause,[],[f965,f289,f2012])). 7.02/1.29 tff(f2012,plain,( 7.02/1.29 spl11_58 <=> infix_plpl(a1,reverse(a1,t2tb3(sK5)),t2tb3(sK7)) = infix_plpl(a1,reverse(a1,t2tb3(sK7)),t2tb3(sK5))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_58])])). 7.02/1.29 tff(f965,plain,( 7.02/1.29 infix_plpl(a1,reverse(a1,t2tb3(sK5)),t2tb3(sK7)) = infix_plpl(a1,reverse(a1,t2tb3(sK7)),t2tb3(sK5)) | ~spl11_10), 7.02/1.29 inference(superposition,[],[f331,f291])). 7.02/1.29 tff(f331,plain,( 7.02/1.29 ( ! [X4:uni] : (infix_plpl(a1,reverse(a1,t2tb3(sK7)),cons(a1,t2tb(sK6),X4)) = infix_plpl(a1,reverse(a1,t2tb3(sK5)),X4)) ) | ~spl11_10), 7.02/1.29 inference(superposition,[],[f217,f291])). 7.02/1.29 tff(f1951,plain,( 7.02/1.29 spl11_57 | ~spl11_7), 7.02/1.29 inference(avatar_split_clause,[],[f935,f272,f1948])). 7.02/1.29 tff(f1948,plain,( 7.02/1.29 spl11_57 <=> infix_plpl(a1,reverse(a1,t2tb3(sK0)),t2tb3(sK3)) = infix_plpl(a1,reverse(a1,t2tb3(sK3)),t2tb3(sK0))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_57])])). 7.02/1.29 tff(f935,plain,( 7.02/1.29 infix_plpl(a1,reverse(a1,t2tb3(sK0)),t2tb3(sK3)) = infix_plpl(a1,reverse(a1,t2tb3(sK3)),t2tb3(sK0)) | ~spl11_7), 7.02/1.29 inference(superposition,[],[f303,f274])). 7.02/1.29 tff(f303,plain,( 7.02/1.29 ( ! [X4:uni] : (infix_plpl(a1,reverse(a1,t2tb3(sK3)),cons(a1,t2tb(sK2),X4)) = infix_plpl(a1,reverse(a1,t2tb3(sK0)),X4)) ) | ~spl11_7), 7.02/1.29 inference(superposition,[],[f217,f274])). 7.02/1.29 tff(f1920,plain,( 7.02/1.29 ~spl11_56 | ~spl11_35), 7.02/1.29 inference(avatar_split_clause,[],[f718,f662,f1917])). 7.02/1.29 tff(f1917,plain,( 7.02/1.29 spl11_56 <=> mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_56])])). 7.02/1.29 tff(f662,plain,( 7.02/1.29 spl11_35 <=> sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_35])])). 7.02/1.29 tff(f718,plain,( 7.02/1.29 ~mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1))) | ~spl11_35), 7.02/1.29 inference(resolution,[],[f664,f189])). 7.02/1.29 tff(f664,plain,( 7.02/1.29 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_35), 7.02/1.29 inference(avatar_component_clause,[],[f662])). 7.02/1.29 tff(f1908,plain,( 7.02/1.29 ~spl11_55 | ~spl11_34), 7.02/1.29 inference(avatar_split_clause,[],[f705,f656,f1905])). 7.02/1.29 tff(f1905,plain,( 7.02/1.29 spl11_55 <=> mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_55])])). 7.02/1.29 tff(f656,plain,( 7.02/1.29 spl11_34 <=> sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_34])])). 7.02/1.29 tff(f705,plain,( 7.02/1.29 ~mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1)),nil(list(a1))) | ~spl11_34), 7.02/1.29 inference(resolution,[],[f658,f189])). 7.02/1.29 tff(f658,plain,( 7.02/1.29 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_34), 7.02/1.29 inference(avatar_component_clause,[],[f656])). 7.02/1.29 tff(f1609,plain,( 7.02/1.29 ~spl11_54 | ~spl11_33), 7.02/1.29 inference(avatar_split_clause,[],[f642,f592,f1606])). 7.02/1.29 tff(f1606,plain,( 7.02/1.29 spl11_54 <=> mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_54])])). 7.02/1.29 tff(f592,plain,( 7.02/1.29 spl11_33 <=> sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_33])])). 7.02/1.29 tff(f642,plain,( 7.02/1.29 ~mem(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1))) | ~spl11_33), 7.02/1.29 inference(resolution,[],[f594,f189])). 7.02/1.29 tff(f594,plain,( 7.02/1.29 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_33), 7.02/1.29 inference(avatar_component_clause,[],[f592])). 7.02/1.29 tff(f1604,plain,( 7.02/1.29 ~spl11_53 | ~spl11_32), 7.02/1.29 inference(avatar_split_clause,[],[f629,f587,f1601])). 7.02/1.29 tff(f1601,plain,( 7.02/1.29 spl11_53 <=> mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_53])])). 7.02/1.29 tff(f587,plain,( 7.02/1.29 spl11_32 <=> sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_32])])). 7.02/1.29 tff(f629,plain,( 7.02/1.29 ~mem(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5)),nil(list(a1))) | ~spl11_32), 7.02/1.29 inference(resolution,[],[f589,f189])). 7.02/1.29 tff(f589,plain,( 7.02/1.29 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_32), 7.02/1.29 inference(avatar_component_clause,[],[f587])). 7.02/1.29 tff(f1464,plain,( 7.02/1.29 ~spl11_52 | ~spl11_22), 7.02/1.29 inference(avatar_split_clause,[],[f492,f440,f1461])). 7.02/1.29 tff(f1461,plain,( 7.02/1.29 spl11_52 <=> mem(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_52])])). 7.02/1.29 tff(f440,plain,( 7.02/1.29 spl11_22 <=> sort(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_22])])). 7.02/1.29 tff(f492,plain,( 7.02/1.29 ~mem(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1))) | ~spl11_22), 7.02/1.29 inference(resolution,[],[f442,f189])). 7.02/1.29 tff(f442,plain,( 7.02/1.29 sort(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_22), 7.02/1.29 inference(avatar_component_clause,[],[f440])). 7.02/1.29 tff(f1454,plain,( 7.02/1.29 ~spl11_51 | ~spl11_21), 7.02/1.29 inference(avatar_split_clause,[],[f479,f433,f1451])). 7.02/1.29 tff(f1451,plain,( 7.02/1.29 spl11_51 <=> mem(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_51])])). 7.02/1.29 tff(f433,plain,( 7.02/1.29 spl11_21 <=> sort(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_21])])). 7.02/1.29 tff(f479,plain,( 7.02/1.29 ~mem(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0)),nil(list(a1))) | ~spl11_21), 7.02/1.29 inference(resolution,[],[f435,f189])). 7.02/1.29 tff(f435,plain,( 7.02/1.29 sort(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_21), 7.02/1.29 inference(avatar_component_clause,[],[f433])). 7.02/1.29 tff(f1442,plain,( 7.02/1.29 spl11_49 | ~spl11_50 | ~spl11_36), 7.02/1.29 inference(avatar_split_clause,[],[f696,f677,f1439,f1435])). 7.02/1.29 tff(f1435,plain,( 7.02/1.29 spl11_49 <=> nil(a1) = infix_plpl(a1,t2tb3(sK3),t2tb3(sK5))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_49])])). 7.02/1.29 tff(f1439,plain,( 7.02/1.29 spl11_50 <=> 0 = length(a1,t2tb3(sK1))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_50])])). 7.02/1.29 tff(f677,plain,( 7.02/1.29 spl11_36 <=> length(a1,t2tb3(sK1)) = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK5)))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_36])])). 7.02/1.29 tff(f696,plain,( 7.02/1.29 0 != length(a1,t2tb3(sK1)) | nil(a1) = infix_plpl(a1,t2tb3(sK3),t2tb3(sK5)) | ~spl11_36), 7.02/1.29 inference(superposition,[],[f191,f679])). 7.02/1.29 tff(f679,plain,( 7.02/1.29 length(a1,t2tb3(sK1)) = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK5))) | ~spl11_36), 7.02/1.29 inference(avatar_component_clause,[],[f677])). 7.02/1.29 tff(f1413,plain,( 7.02/1.29 ~spl11_23 | spl11_48 | ~spl11_10), 7.02/1.29 inference(avatar_split_clause,[],[f790,f289,f1411,f502])). 7.02/1.29 tff(f1411,plain,( 7.02/1.29 spl11_48 <=> ! [X12 : uni] : t2tb(sK6) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK5),X12))), 7.02/1.29 introduced(avatar_definition,[new_symbols(naming,[spl11_48])])). 7.02/1.29 tff(f790,plain,( 7.02/1.29 ( ! [X12:uni] : (t2tb(sK6) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK5),X12)) | ~sort(a1,t2tb(sK6))) ) | ~spl11_10), 7.02/1.29 inference(superposition,[],[f206,f323])). 7.02/1.30 tff(f206,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_1(X0,cons(X0,X1,X2)) = X1 | ~sort(X0,X1)) )), 7.02/1.30 inference(cnf_transformation,[],[f125])). 7.02/1.30 tff(f125,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_1(X0,cons(X0,X1,X2)) = X1 | ~sort(X0,X1))), 7.02/1.30 inference(ennf_transformation,[],[f101])). 7.02/1.30 tff(f101,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni] : (sort(X0,X1) => cons_proj_1(X0,cons(X0,X1,X2)) = X1)), 7.02/1.30 inference(rectify,[],[f27])). 7.02/1.30 tff(f27,axiom,( 7.02/1.30 ! [X2 : ty,X7 : uni,X8 : uni] : (sort(X2,X7) => cons_proj_1(X2,cons(X2,X7,X8)) = X7)), 7.02/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_1_def)). 7.02/1.30 tff(f1405,plain,( 7.02/1.30 ~spl11_18 | spl11_47 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f736,f272,f1403,f384])). 7.02/1.30 tff(f1403,plain,( 7.02/1.30 spl11_47 <=> ! [X12 : uni] : t2tb(sK2) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X12))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_47])])). 7.02/1.30 tff(f736,plain,( 7.02/1.30 ( ! [X12:uni] : (t2tb(sK2) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X12)) | ~sort(a1,t2tb(sK2))) ) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f206,f295])). 7.02/1.30 tff(f1043,plain,( 7.02/1.30 ~spl11_23 | spl11_46 | ~spl11_10), 7.02/1.30 inference(avatar_split_clause,[],[f325,f289,f1041,f502])). 7.02/1.30 tff(f1041,plain,( 7.02/1.30 spl11_46 <=> ! [X2 : uni] : (~mem(a1,X2,t2tb3(sK5)) | ~sort(a1,X2) | t2tb(sK6) = X2 | mem(a1,X2,t2tb3(sK7)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_46])])). 7.02/1.30 tff(f325,plain,( 7.02/1.30 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK5)) | mem(a1,X2,t2tb3(sK7)) | t2tb(sK6) = X2 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X2)) ) | ~spl11_10), 7.02/1.30 inference(superposition,[],[f188,f291])). 7.02/1.30 tff(f188,plain,( 7.02/1.30 ( ! [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)) )), 7.02/1.30 inference(cnf_transformation,[],[f140])). 7.02/1.30 tff(f1027,plain,( 7.02/1.30 spl11_45 | ~spl11_30), 7.02/1.30 inference(avatar_split_clause,[],[f581,f565,f1024])). 7.02/1.30 tff(f1024,plain,( 7.02/1.30 spl11_45 <=> sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_45])])). 7.02/1.30 tff(f565,plain,( 7.02/1.30 spl11_30 <=> mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK1)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_30])])). 7.02/1.30 tff(f581,plain,( 7.02/1.30 sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK1)))) | ~spl11_30), 7.02/1.30 inference(resolution,[],[f567,f209])). 7.02/1.30 tff(f209,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X1:uni] : (sort(list(X0),sK9(X0,X1,X2)) | ~mem(X0,X1,X2)) )), 7.02/1.30 inference(cnf_transformation,[],[f143])). 7.02/1.30 tff(f567,plain,( 7.02/1.30 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))) | ~spl11_30), 7.02/1.30 inference(avatar_component_clause,[],[f565])). 7.02/1.30 tff(f1016,plain,( 7.02/1.30 spl11_44 | ~spl11_30), 7.02/1.30 inference(avatar_split_clause,[],[f580,f565,f1013])). 7.02/1.30 tff(f1013,plain,( 7.02/1.30 spl11_44 <=> sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_44])])). 7.02/1.30 tff(f580,plain,( 7.02/1.30 sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK1)))) | ~spl11_30), 7.02/1.30 inference(resolution,[],[f567,f208])). 7.02/1.30 tff(f208,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X1:uni] : (sort(list(X0),sK10(X0,X1,X2)) | ~mem(X0,X1,X2)) )), 7.02/1.30 inference(cnf_transformation,[],[f143])). 7.02/1.30 tff(f1011,plain,( 7.02/1.30 ~spl11_18 | spl11_43 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f297,f272,f1009,f384])). 7.02/1.30 tff(f1009,plain,( 7.02/1.30 spl11_43 <=> ! [X2 : uni] : (~mem(a1,X2,t2tb3(sK0)) | ~sort(a1,X2) | t2tb(sK2) = X2 | mem(a1,X2,t2tb3(sK3)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_43])])). 7.02/1.30 tff(f297,plain,( 7.02/1.30 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK0)) | mem(a1,X2,t2tb3(sK3)) | t2tb(sK2) = X2 | ~sort(a1,t2tb(sK2)) | ~sort(a1,X2)) ) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f188,f274])). 7.02/1.30 tff(f856,plain,( 7.02/1.30 spl11_42 | ~spl11_27), 7.02/1.30 inference(avatar_split_clause,[],[f554,f538,f853])). 7.02/1.30 tff(f538,plain,( 7.02/1.30 spl11_27 <=> mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_27])])). 7.02/1.30 tff(f554,plain,( 7.02/1.30 sort(list(a1),sK9(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_27), 7.02/1.30 inference(resolution,[],[f540,f209])). 7.02/1.30 tff(f540,plain,( 7.02/1.30 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))) | ~spl11_27), 7.02/1.30 inference(avatar_component_clause,[],[f538])). 7.02/1.30 tff(f851,plain,( 7.02/1.30 ~spl11_23 | spl11_41 | ~spl11_10), 7.02/1.30 inference(avatar_split_clause,[],[f324,f289,f849,f502])). 7.02/1.30 tff(f849,plain,( 7.02/1.30 spl11_41 <=> ! [X1 : uni] : (mem(a1,X1,t2tb3(sK5)) | ~sort(a1,X1) | ~mem(a1,X1,t2tb3(sK7)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_41])])). 7.02/1.30 tff(f324,plain,( 7.02/1.30 ( ! [X1:uni] : (mem(a1,X1,t2tb3(sK5)) | ~mem(a1,X1,t2tb3(sK7)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X1)) ) | ~spl11_10), 7.02/1.30 inference(superposition,[],[f187,f291])). 7.02/1.30 tff(f847,plain,( 7.02/1.30 spl11_40 | ~spl11_27), 7.02/1.30 inference(avatar_split_clause,[],[f553,f538,f844])). 7.02/1.30 tff(f553,plain,( 7.02/1.30 sort(list(a1),sK10(a1,t2tb(sK6),reverse(a1,t2tb3(sK5)))) | ~spl11_27), 7.02/1.30 inference(resolution,[],[f540,f208])). 7.02/1.30 tff(f814,plain,( 7.02/1.30 ~spl11_18 | spl11_39 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f296,f272,f812,f384])). 7.02/1.30 tff(f812,plain,( 7.02/1.30 spl11_39 <=> ! [X1 : uni] : (mem(a1,X1,t2tb3(sK0)) | ~sort(a1,X1) | ~mem(a1,X1,t2tb3(sK3)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_39])])). 7.02/1.30 tff(f296,plain,( 7.02/1.30 ( ! [X1:uni] : (mem(a1,X1,t2tb3(sK0)) | ~mem(a1,X1,t2tb3(sK3)) | ~sort(a1,t2tb(sK2)) | ~sort(a1,X1)) ) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f187,f274])). 7.02/1.30 tff(f758,plain,( 7.02/1.30 spl11_38 | ~spl11_20), 7.02/1.30 inference(avatar_split_clause,[],[f426,f418,f755])). 7.02/1.30 tff(f418,plain,( 7.02/1.30 spl11_20 <=> mem(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_20])])). 7.02/1.30 tff(f426,plain,( 7.02/1.30 sort(list(a1),sK9(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_20), 7.02/1.30 inference(resolution,[],[f420,f209])). 7.02/1.30 tff(f420,plain,( 7.02/1.30 mem(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))) | ~spl11_20), 7.02/1.30 inference(avatar_component_clause,[],[f418])). 7.02/1.30 tff(f753,plain,( 7.02/1.30 spl11_37 | ~spl11_20), 7.02/1.30 inference(avatar_split_clause,[],[f425,f418,f750])). 7.02/1.30 tff(f425,plain,( 7.02/1.30 sort(list(a1),sK10(a1,t2tb(sK2),reverse(a1,t2tb3(sK0)))) | ~spl11_20), 7.02/1.30 inference(resolution,[],[f420,f208])). 7.02/1.30 tff(f680,plain,( 7.02/1.30 spl11_36 | ~spl11_5 | ~spl11_9), 7.02/1.30 inference(avatar_split_clause,[],[f394,f283,f250,f677])). 7.02/1.30 tff(f394,plain,( 7.02/1.30 length(a1,t2tb3(sK1)) = length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK5))) | (~spl11_5 | ~spl11_9)), 7.02/1.30 inference(superposition,[],[f268,f285])). 7.02/1.30 tff(f665,plain,( 7.02/1.30 spl11_35 | ~spl11_25), 7.02/1.30 inference(avatar_split_clause,[],[f528,f521,f662])). 7.02/1.30 tff(f521,plain,( 7.02/1.30 spl11_25 <=> mem(a1,t2tb(sK6),t2tb3(sK1))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_25])])). 7.02/1.30 tff(f528,plain,( 7.02/1.30 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_25), 7.02/1.30 inference(resolution,[],[f523,f209])). 7.02/1.30 tff(f523,plain,( 7.02/1.30 mem(a1,t2tb(sK6),t2tb3(sK1)) | ~spl11_25), 7.02/1.30 inference(avatar_component_clause,[],[f521])). 7.02/1.30 tff(f659,plain,( 7.02/1.30 spl11_34 | ~spl11_25), 7.02/1.30 inference(avatar_split_clause,[],[f527,f521,f656])). 7.02/1.30 tff(f527,plain,( 7.02/1.30 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK1))) | ~spl11_25), 7.02/1.30 inference(resolution,[],[f523,f208])). 7.02/1.30 tff(f595,plain,( 7.02/1.30 spl11_33 | ~spl11_24), 7.02/1.30 inference(avatar_split_clause,[],[f516,f506,f592])). 7.02/1.30 tff(f516,plain,( 7.02/1.30 sort(list(a1),sK9(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_24), 7.02/1.30 inference(resolution,[],[f508,f209])). 7.02/1.30 tff(f590,plain,( 7.02/1.30 spl11_32 | ~spl11_24), 7.02/1.30 inference(avatar_split_clause,[],[f515,f506,f587])). 7.02/1.30 tff(f515,plain,( 7.02/1.30 sort(list(a1),sK10(a1,t2tb(sK6),t2tb3(sK5))) | ~spl11_24), 7.02/1.30 inference(resolution,[],[f508,f208])). 7.02/1.30 tff(f573,plain,( 7.02/1.30 ~spl11_23 | spl11_31 | ~spl11_10), 7.02/1.30 inference(avatar_split_clause,[],[f330,f289,f570,f502])). 7.02/1.30 tff(f570,plain,( 7.02/1.30 spl11_31 <=> t2tb(sK6) = cons_proj_1(a1,t2tb3(sK5))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_31])])). 7.02/1.30 tff(f330,plain,( 7.02/1.30 t2tb(sK6) = cons_proj_1(a1,t2tb3(sK5)) | ~sort(a1,t2tb(sK6)) | ~spl11_10), 7.02/1.30 inference(superposition,[],[f206,f291])). 7.02/1.30 tff(f568,plain,( 7.02/1.30 spl11_30 | ~spl11_25), 7.02/1.30 inference(avatar_split_clause,[],[f529,f521,f565])). 7.02/1.30 tff(f529,plain,( 7.02/1.30 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK1))) | ~spl11_25), 7.02/1.30 inference(resolution,[],[f523,f211])). 7.02/1.30 tff(f211,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,X2,reverse(X0,X1)) | ~mem(X0,X2,X1)) )), 7.02/1.30 inference(cnf_transformation,[],[f144])). 7.02/1.30 tff(f144,plain,( 7.02/1.30 ! [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)))), 7.02/1.30 inference(nnf_transformation,[],[f104])). 7.02/1.30 tff(f104,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X2,X1) <=> mem(X0,X2,reverse(X0,X1)))), 7.02/1.30 inference(rectify,[],[f47])). 7.02/1.30 tff(f47,axiom,( 7.02/1.30 ! [X2 : ty,X17 : uni,X3 : uni] : (mem(X2,X3,X17) <=> mem(X2,X3,reverse(X2,X17)))), 7.02/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_mem)). 7.02/1.30 tff(f563,plain,( 7.02/1.30 spl11_29 | ~spl11_10), 7.02/1.30 inference(avatar_split_clause,[],[f322,f289,f560])). 7.02/1.30 tff(f560,plain,( 7.02/1.30 spl11_29 <=> $sum(1,length(a1,t2tb3(sK7))) = length(a1,t2tb3(sK5))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_29])])). 7.02/1.30 tff(f322,plain,( 7.02/1.30 $sum(1,length(a1,t2tb3(sK7))) = length(a1,t2tb3(sK5)) | ~spl11_10), 7.02/1.30 inference(superposition,[],[f169,f291])). 7.02/1.30 tff(f546,plain,( 7.02/1.30 ~spl11_18 | spl11_28 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f302,f272,f543,f384])). 7.02/1.30 tff(f543,plain,( 7.02/1.30 spl11_28 <=> t2tb(sK2) = cons_proj_1(a1,t2tb3(sK0))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_28])])). 7.02/1.30 tff(f302,plain,( 7.02/1.30 t2tb(sK2) = cons_proj_1(a1,t2tb3(sK0)) | ~sort(a1,t2tb(sK2)) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f206,f274])). 7.02/1.30 tff(f541,plain,( 7.02/1.30 spl11_27 | ~spl11_24), 7.02/1.30 inference(avatar_split_clause,[],[f517,f506,f538])). 7.02/1.30 tff(f517,plain,( 7.02/1.30 mem(a1,t2tb(sK6),reverse(a1,t2tb3(sK5))) | ~spl11_24), 7.02/1.30 inference(resolution,[],[f508,f211])). 7.02/1.30 tff(f536,plain,( 7.02/1.30 spl11_26 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f294,f272,f533])). 7.02/1.30 tff(f294,plain,( 7.02/1.30 length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK3))) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f169,f274])). 7.02/1.30 tff(f524,plain,( 7.02/1.30 spl11_25 | ~spl11_9 | ~spl11_24), 7.02/1.30 inference(avatar_split_clause,[],[f512,f506,f283,f521])). 7.02/1.30 tff(f512,plain,( 7.02/1.30 mem(a1,t2tb(sK6),t2tb3(sK1)) | (~spl11_9 | ~spl11_24)), 7.02/1.30 inference(resolution,[],[f508,f314])). 7.02/1.30 tff(f314,plain,( 7.02/1.30 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK5)) | mem(a1,X2,t2tb3(sK1))) ) | ~spl11_9), 7.02/1.30 inference(superposition,[],[f223,f285])). 7.02/1.30 tff(f223,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X3)) )), 7.02/1.30 inference(cnf_transformation,[],[f146])). 7.02/1.30 tff(f146,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))) & (mem(X0,X1,X3) | mem(X0,X1,X2) | ~mem(X0,X1,infix_plpl(X0,X2,X3))))), 7.02/1.30 inference(flattening,[],[f145])). 7.02/1.30 tff(f145,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))) & ((mem(X0,X1,X3) | mem(X0,X1,X2)) | ~mem(X0,X1,infix_plpl(X0,X2,X3))))), 7.02/1.30 inference(nnf_transformation,[],[f113])). 7.02/1.30 tff(f113,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) <=> (mem(X0,X1,X3) | mem(X0,X1,X2)))), 7.02/1.30 inference(rectify,[],[f3])). 7.02/1.30 tff(f3,axiom,( 7.02/1.30 ! [X2 : ty,X3 : uni,X4 : uni,X5 : uni] : (mem(X2,X3,infix_plpl(X2,X4,X5)) <=> (mem(X2,X3,X5) | mem(X2,X3,X4)))), 7.02/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_append)). 7.02/1.30 tff(f511,plain,( 7.02/1.30 spl11_23), 7.02/1.30 inference(avatar_contradiction_clause,[],[f510])). 7.02/1.30 tff(f510,plain,( 7.02/1.30 $false | spl11_23), 7.02/1.30 inference(resolution,[],[f504,f158])). 7.02/1.30 tff(f158,plain,( 7.02/1.30 ( ! [X0:a] : (sort(a1,t2tb(X0))) )), 7.02/1.30 inference(cnf_transformation,[],[f66])). 7.02/1.30 tff(f66,plain,( 7.02/1.30 ! [X0 : a] : sort(a1,t2tb(X0))), 7.02/1.30 inference(rectify,[],[f13])). 7.02/1.30 tff(f13,axiom,( 7.02/1.30 ! [X3 : a] : sort(a1,t2tb(X3))), 7.02/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort)). 7.02/1.30 tff(f504,plain,( 7.02/1.30 ~sort(a1,t2tb(sK6)) | spl11_23), 7.02/1.30 inference(avatar_component_clause,[],[f502])). 7.02/1.30 tff(f509,plain,( 7.02/1.30 ~spl11_23 | spl11_24 | ~spl11_10), 7.02/1.30 inference(avatar_split_clause,[],[f333,f289,f506,f502])). 7.02/1.30 tff(f333,plain,( 7.02/1.30 mem(a1,t2tb(sK6),t2tb3(sK5)) | ~sort(a1,t2tb(sK6)) | ~spl11_10), 7.02/1.30 inference(superposition,[],[f228,f291])). 7.02/1.30 tff(f228,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2)) )), 7.02/1.30 inference(duplicate_literal_removal,[],[f226])). 7.02/1.30 tff(f226,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X2)) )), 7.02/1.30 inference(equality_resolution,[],[f186])). 7.02/1.30 tff(f186,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 7.02/1.30 inference(cnf_transformation,[],[f140])). 7.02/1.30 tff(f443,plain,( 7.02/1.30 spl11_22 | ~spl11_19), 7.02/1.30 inference(avatar_split_clause,[],[f412,f388,f440])). 7.02/1.30 tff(f412,plain,( 7.02/1.30 sort(list(a1),sK9(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_19), 7.02/1.30 inference(resolution,[],[f390,f209])). 7.02/1.30 tff(f436,plain,( 7.02/1.30 spl11_21 | ~spl11_19), 7.02/1.30 inference(avatar_split_clause,[],[f411,f388,f433])). 7.02/1.30 tff(f411,plain,( 7.02/1.30 sort(list(a1),sK10(a1,t2tb(sK2),t2tb3(sK0))) | ~spl11_19), 7.02/1.30 inference(resolution,[],[f390,f208])). 7.02/1.30 tff(f421,plain,( 7.02/1.30 spl11_20 | ~spl11_19), 7.02/1.30 inference(avatar_split_clause,[],[f413,f388,f418])). 7.02/1.30 tff(f413,plain,( 7.02/1.30 mem(a1,t2tb(sK2),reverse(a1,t2tb3(sK0))) | ~spl11_19), 7.02/1.30 inference(resolution,[],[f390,f211])). 7.02/1.30 tff(f393,plain,( 7.02/1.30 spl11_18), 7.02/1.30 inference(avatar_contradiction_clause,[],[f392])). 7.02/1.30 tff(f392,plain,( 7.02/1.30 $false | spl11_18), 7.02/1.30 inference(resolution,[],[f386,f158])). 7.02/1.30 tff(f386,plain,( 7.02/1.30 ~sort(a1,t2tb(sK2)) | spl11_18), 7.02/1.30 inference(avatar_component_clause,[],[f384])). 7.02/1.30 tff(f391,plain,( 7.02/1.30 ~spl11_18 | spl11_19 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f305,f272,f388,f384])). 7.02/1.30 tff(f305,plain,( 7.02/1.30 mem(a1,t2tb(sK2),t2tb3(sK0)) | ~sort(a1,t2tb(sK2)) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f228,f274])). 7.02/1.30 tff(f360,plain,( 7.02/1.30 spl11_17 | ~spl11_10), 7.02/1.30 inference(avatar_split_clause,[],[f328,f289,f357])). 7.02/1.30 tff(f357,plain,( 7.02/1.30 spl11_17 <=> t2tb3(sK7) = cons_proj_2(a1,t2tb3(sK5))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_17])])). 7.02/1.30 tff(f328,plain,( 7.02/1.30 t2tb3(sK7) = cons_proj_2(a1,t2tb3(sK5)) | ~spl11_10), 7.02/1.30 inference(superposition,[],[f197,f291])). 7.02/1.30 tff(f197,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_2(X0,cons(X0,X1,X2)) = X2) )), 7.02/1.30 inference(cnf_transformation,[],[f94])). 7.02/1.30 tff(f94,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_2(X0,cons(X0,X1,X2)) = X2), 7.02/1.30 inference(rectify,[],[f23])). 7.02/1.30 tff(f23,axiom,( 7.02/1.30 ! [X2 : ty,X7 : uni,X8 : uni] : cons_proj_2(X2,cons(X2,X7,X8)) = X8), 7.02/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_2_def)). 7.02/1.30 tff(f353,plain,( 7.02/1.30 spl11_16 | ~spl11_8), 7.02/1.30 inference(avatar_split_clause,[],[f293,f277,f350])). 7.02/1.30 tff(f277,plain,( 7.02/1.30 spl11_8 <=> sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_8])])). 7.02/1.30 tff(f293,plain,( 7.02/1.30 t2tb1(sK4) = combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))) | ~spl11_8), 7.02/1.30 inference(superposition,[],[f161,f279])). 7.02/1.30 tff(f279,plain,( 7.02/1.30 sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8)))) | ~spl11_8), 7.02/1.30 inference(avatar_component_clause,[],[f277])). 7.02/1.30 tff(f161,plain,( 7.02/1.30 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 7.02/1.30 inference(cnf_transformation,[],[f57])). 7.02/1.30 tff(f57,axiom,( 7.02/1.30 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 7.02/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)). 7.02/1.30 tff(f347,plain,( 7.02/1.30 spl11_14 | ~spl11_15 | ~spl11_5), 7.02/1.30 inference(avatar_split_clause,[],[f265,f250,f344,f340])). 7.02/1.30 tff(f340,plain,( 7.02/1.30 spl11_14 <=> t2tb3(sK8) = nil(a1)), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_14])])). 7.02/1.30 tff(f344,plain,( 7.02/1.30 spl11_15 <=> 0 = length(a1,t2tb3(sK3))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_15])])). 7.02/1.30 tff(f265,plain,( 7.02/1.30 0 != length(a1,t2tb3(sK3)) | t2tb3(sK8) = nil(a1) | ~spl11_5), 7.02/1.30 inference(superposition,[],[f191,f252])). 7.02/1.30 tff(f338,plain,( 7.02/1.30 ~spl11_13 | ~spl11_10), 7.02/1.30 inference(avatar_split_clause,[],[f326,f289,f335])). 7.02/1.30 tff(f335,plain,( 7.02/1.30 spl11_13 <=> t2tb3(sK5) = nil(a1)), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_13])])). 7.02/1.30 tff(f326,plain,( 7.02/1.30 t2tb3(sK5) != nil(a1) | ~spl11_10), 7.02/1.30 inference(superposition,[],[f194,f291])). 7.02/1.30 tff(f194,plain,( 7.02/1.30 ( ! [X2:uni,X0:ty,X1:uni] : (nil(X0) != cons(X0,X1,X2)) )), 7.02/1.30 inference(cnf_transformation,[],[f91])). 7.02/1.30 tff(f91,plain,( 7.02/1.30 ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)), 7.02/1.30 inference(rectify,[],[f55])). 7.02/1.30 tff(f55,axiom,( 7.02/1.30 ! [X2 : ty,X22 : uni,X23 : uni] : nil(X2) != cons(X2,X22,X23)), 7.02/1.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nil_Cons)). 7.02/1.30 tff(f321,plain,( 7.02/1.30 spl11_12 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f300,f272,f318])). 7.02/1.30 tff(f318,plain,( 7.02/1.30 spl11_12 <=> t2tb3(sK3) = cons_proj_2(a1,t2tb3(sK0))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_12])])). 7.02/1.30 tff(f300,plain,( 7.02/1.30 t2tb3(sK3) = cons_proj_2(a1,t2tb3(sK0)) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f197,f274])). 7.02/1.30 tff(f311,plain,( 7.02/1.30 ~spl11_11 | ~spl11_7), 7.02/1.30 inference(avatar_split_clause,[],[f298,f272,f308])). 7.02/1.30 tff(f308,plain,( 7.02/1.30 spl11_11 <=> t2tb3(sK0) = nil(a1)), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_11])])). 7.02/1.30 tff(f298,plain,( 7.02/1.30 t2tb3(sK0) != nil(a1) | ~spl11_7), 7.02/1.30 inference(superposition,[],[f194,f274])). 7.02/1.30 tff(f292,plain,( 7.02/1.30 spl11_10 | ~spl11_6), 7.02/1.30 inference(avatar_split_clause,[],[f269,f255,f289])). 7.02/1.30 tff(f255,plain,( 7.02/1.30 spl11_6 <=> sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_6])])). 7.02/1.30 tff(f269,plain,( 7.02/1.30 t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7)) | ~spl11_6), 7.02/1.30 inference(superposition,[],[f164,f257])). 7.02/1.30 tff(f257,plain,( 7.02/1.30 sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) | ~spl11_6), 7.02/1.30 inference(avatar_component_clause,[],[f255])). 7.02/1.30 tff(f286,plain,( 7.02/1.30 spl11_9 | ~spl11_4), 7.02/1.30 inference(avatar_split_clause,[],[f262,f245,f283])). 7.02/1.30 tff(f245,plain,( 7.02/1.30 spl11_4 <=> sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_4])])). 7.02/1.30 tff(f262,plain,( 7.02/1.30 t2tb3(sK1) = infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)) | ~spl11_4), 7.02/1.30 inference(superposition,[],[f164,f247])). 7.02/1.30 tff(f247,plain,( 7.02/1.30 sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5))) | ~spl11_4), 7.02/1.30 inference(avatar_component_clause,[],[f245])). 7.02/1.30 tff(f280,plain,( 7.02/1.30 spl11_8), 7.02/1.30 inference(avatar_split_clause,[],[f152,f277])). 7.02/1.30 tff(f152,plain,( 7.02/1.30 sK4 = tb2t1(combine(a1,a1,t2tb3(sK3),reverse(a1,t2tb3(sK8))))), 7.02/1.30 inference(cnf_transformation,[],[f138])). 7.02/1.30 tff(f275,plain,( 7.02/1.30 spl11_7 | ~spl11_2), 7.02/1.30 inference(avatar_split_clause,[],[f260,f235,f272])). 7.02/1.30 tff(f235,plain,( 7.02/1.30 spl11_2 <=> sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_2])])). 7.02/1.30 tff(f260,plain,( 7.02/1.30 t2tb3(sK0) = cons(a1,t2tb(sK2),t2tb3(sK3)) | ~spl11_2), 7.02/1.30 inference(superposition,[],[f164,f237])). 7.02/1.30 tff(f237,plain,( 7.02/1.30 sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))) | ~spl11_2), 7.02/1.30 inference(avatar_component_clause,[],[f235])). 7.02/1.30 tff(f258,plain,( 7.02/1.30 spl11_6), 7.02/1.30 inference(avatar_split_clause,[],[f153,f255])). 7.02/1.30 tff(f153,plain,( 7.02/1.30 sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7)))), 7.02/1.30 inference(cnf_transformation,[],[f138])). 7.02/1.30 tff(f253,plain,( 7.02/1.30 spl11_5), 7.02/1.30 inference(avatar_split_clause,[],[f151,f250])). 7.02/1.30 tff(f151,plain,( 7.02/1.30 length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK8))), 7.02/1.30 inference(cnf_transformation,[],[f138])). 7.02/1.30 tff(f248,plain,( 7.02/1.30 spl11_4), 7.02/1.30 inference(avatar_split_clause,[],[f150,f245])). 7.02/1.30 tff(f150,plain,( 7.02/1.30 sK1 = tb2t3(infix_plpl(a1,t2tb3(sK8),t2tb3(sK5)))), 7.02/1.30 inference(cnf_transformation,[],[f138])). 7.02/1.30 tff(f243,plain,( 7.02/1.30 ~spl11_3), 7.02/1.30 inference(avatar_split_clause,[],[f149,f240])). 7.02/1.30 tff(f240,plain,( 7.02/1.30 spl11_3 <=> $less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_3])])). 7.02/1.30 tff(f149,plain,( 7.02/1.30 ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK3)))), 7.02/1.30 inference(cnf_transformation,[],[f138])). 7.02/1.30 tff(f238,plain,( 7.02/1.30 spl11_2), 7.02/1.30 inference(avatar_split_clause,[],[f148,f235])). 7.02/1.30 tff(f148,plain,( 7.02/1.30 sK0 = tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3)))), 7.02/1.30 inference(cnf_transformation,[],[f138])). 7.02/1.30 tff(f233,plain,( 7.02/1.30 ~spl11_1), 7.02/1.30 inference(avatar_split_clause,[],[f147,f230])). 7.02/1.30 tff(f230,plain,( 7.02/1.30 spl11_1 <=> $less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0)))), 7.02/1.30 introduced(avatar_definition,[new_symbols(naming,[spl11_1])])). 7.02/1.30 tff(f147,plain,( 7.02/1.30 ~$less(length(a1,t2tb3(sK1)),length(a1,t2tb3(sK0)))), 7.02/1.30 inference(cnf_transformation,[],[f138])). 7.02/1.30 % SZS output end Proof for theBenchmark 7.02/1.30 % (11486)------------------------------ 7.02/1.30 % (11486)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.02/1.30 % (11486)Termination reason: Refutation 7.02/1.30 7.02/1.30 % (11486)Memory used [KB]: 8443 7.02/1.30 % (11486)Time elapsed: 0.869 s 7.02/1.30 % (11486)------------------------------ 7.02/1.30 % (11486)------------------------------ 7.02/1.30 % (11473)Success in time 0.954 s 7.02/1.31 EOF