0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_vampire %s %d 0.14/0.35 % Computer : n004.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Thu Jul 2 08:31:28 EDT 2020 0.14/0.35 % CPUTime : 0.21/0.51 % (6262)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 1.05/0.52 % (6270)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 1.05/0.52 % (6247)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 1.05/0.53 % (6246)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 1.05/0.53 % (6245)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 1.05/0.53 % (6249)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 1.05/0.53 % (6251)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 1.05/0.53 % (6250)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 1.05/0.54 % (6263)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 1.05/0.54 % (6261)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 1.30/0.54 % (6257)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 1.30/0.54 % (6254)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 1.30/0.54 % (6253)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 1.30/0.54 % (6242)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 1.30/0.55 % (6248)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 1.30/0.55 % (6271)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 1.30/0.55 % (6269)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 1.30/0.55 % (6259)WARNING: option uwaf not known. 1.30/0.55 % (6259)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 1.30/0.55 % (6258)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 1.30/0.55 % (6244)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 1.30/0.55 % (6243)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 1.30/0.56 % (6266)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 1.30/0.56 % (6241)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 1.30/0.57 % (6268)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 1.30/0.57 % (6267)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 1.30/0.57 % (6256)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 1.30/0.58 % (6252)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 1.30/0.58 % (6264)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 1.30/0.58 % (6265)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 1.30/0.58 % (6255)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 2.95/0.77 % (6265)Refutation found. Thanks to Tanya! 2.95/0.77 % SZS status Theorem for theBenchmark 2.95/0.79 % SZS output start Proof for theBenchmark 2.95/0.79 tff(type_def_5, type, uni: $tType). 2.95/0.79 tff(type_def_6, type, ty: $tType). 2.95/0.79 tff(type_def_7, type, bool1: $tType). 2.95/0.79 tff(type_def_8, type, tuple02: $tType). 2.95/0.79 tff(type_def_9, type, lpintcm_intcm_intrp: $tType). 2.95/0.79 tff(func_def_0, type, witness1: ty > uni). 2.95/0.79 tff(func_def_1, type, int: ty). 2.95/0.79 tff(func_def_2, type, real: ty). 2.95/0.79 tff(func_def_3, type, bool: ty). 2.95/0.79 tff(func_def_4, type, true1: bool1). 2.95/0.79 tff(func_def_5, type, false1: bool1). 2.95/0.79 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 2.95/0.79 tff(func_def_7, type, tuple0: ty). 2.95/0.79 tff(func_def_8, type, tuple03: tuple02). 2.95/0.79 tff(func_def_9, type, qtmark: ty). 2.95/0.79 tff(func_def_10, type, ref: ty > ty). 2.95/0.79 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 2.95/0.79 tff(func_def_12, type, contents: (ty * uni) > uni). 2.95/0.79 tff(func_def_13, type, abs1: $int > $int). 2.95/0.79 tff(func_def_14, type, power1: ($int * $int) > $int). 2.95/0.79 tff(func_def_15, type, sum_digits1: $int > $int). 2.95/0.79 tff(func_def_16, type, tuple3: (ty * ty * ty) > ty). 2.95/0.79 tff(func_def_17, type, tuple31: (ty * ty * ty * uni * uni * uni) > uni). 2.95/0.79 tff(func_def_18, type, tuple3_proj_11: (ty * ty * ty * uni) > uni). 2.95/0.79 tff(func_def_19, type, tuple3_proj_21: (ty * ty * ty * uni) > uni). 2.95/0.79 tff(func_def_20, type, tuple3_proj_31: (ty * ty * ty * uni) > uni). 2.95/0.79 tff(func_def_21, type, t2tb: lpintcm_intcm_intrp > uni). 2.95/0.79 tff(func_def_22, type, tb2t: uni > lpintcm_intcm_intrp). 2.95/0.79 tff(func_def_23, type, t2tb1: $int > uni). 2.95/0.79 tff(func_def_24, type, tb2t1: uni > $int). 2.95/0.79 tff(func_def_25, type, num_of1: (lpintcm_intcm_intrp * $int * $int) > $int). 2.95/0.79 tff(func_def_26, type, solution1: ($int * $int * $int) > $int). 2.95/0.79 tff(func_def_27, type, num_of_modc1: (lpintcm_intcm_intrp * $int * $int) > $int). 2.95/0.79 tff(func_def_28, type, div2: ($int * $int) > $int). 2.95/0.79 tff(func_def_29, type, mod2: ($int * $int) > $int). 2.95/0.79 tff(func_def_41, type, sK0: $int). 2.95/0.79 tff(func_def_42, type, sK1: $int). 2.95/0.79 tff(func_def_43, type, sK2: $int). 2.95/0.79 tff(func_def_44, type, sK3: $int). 2.95/0.79 tff(func_def_45, type, sK4: $int). 2.95/0.79 tff(func_def_46, type, sK5: $int). 2.95/0.79 tff(func_def_47, type, sK6: (lpintcm_intcm_intrp * $int * $int) > $int). 2.95/0.79 tff(func_def_48, type, sK7: (lpintcm_intcm_intrp * $int * $int) > $int). 2.95/0.79 tff(func_def_49, type, sK8: (lpintcm_intcm_intrp * lpintcm_intcm_intrp * $int * $int) > $int). 2.95/0.79 tff(func_def_50, type, sK9: (lpintcm_intcm_intrp * lpintcm_intcm_intrp * $int * $int) > $int). 2.95/0.79 tff(pred_def_1, type, sort1: (ty * uni) > $o). 2.95/0.79 tff(pred_def_2, type, p1: (lpintcm_intcm_intrp * $int) > $o). 2.95/0.79 tff(f1045,plain,( 2.95/0.79 $false), 2.95/0.79 inference(avatar_sat_refutation,[],[f383,f387,f391,f395,f399,f403,f407,f411,f415,f419,f423,f427,f450,f451,f455,f462,f466,f470,f474,f485,f486,f493,f512,f516,f521,f522,f523,f527,f536,f540,f545,f549,f554,f560,f567,f570,f620,f624,f628,f635,f639,f644,f648,f649,f650,f651,f652,f656,f660,f664,f668,f673,f716,f722,f724,f739,f744,f748,f752,f764,f769,f788,f804,f814,f821,f825,f835,f845,f849,f858,f862,f866,f880,f901,f911,f915,f919,f926,f930,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f997,f1004,f1034,f1038,f1039,f1040,f1044])). 2.95/0.79 tff(f1044,plain,( 2.95/0.79 spl10_82 | spl10_91 | ~spl10_84), 2.95/0.79 inference(avatar_split_clause,[],[f1027,f928,f1042,f921])). 2.95/0.79 tff(f921,plain,( 2.95/0.79 spl10_82 <=> $less(0,power1(10,$sum(sK0,-1)))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_82])])). 2.95/0.79 tff(f1042,plain,( 2.95/0.79 spl10_91 <=> sK5 = $sum(sK3,0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_91])])). 2.95/0.79 tff(f928,plain,( 2.95/0.79 spl10_84 <=> sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_84])])). 2.95/0.79 tff(f1027,plain,( 2.95/0.79 sK5 = $sum(sK3,0) | $less(0,power1(10,$sum(sK0,-1))) | ~spl10_84), 2.95/0.79 inference(superposition,[],[f929,f335])). 2.95/0.79 tff(f335,plain,( 2.95/0.79 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (0 = num_of1(X0,X1,X2) | $less(X1,X2)) )), 2.95/0.79 inference(cnf_transformation,[],[f224])). 2.95/0.79 tff(f224,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (0 = num_of1(X0,X1,X2) | $less(X1,X2))), 2.95/0.79 inference(ennf_transformation,[],[f158])). 2.95/0.79 tff(f158,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X1,X2) => 0 = num_of1(X0,X1,X2))), 2.95/0.79 inference(rectify,[],[f97])). 2.95/0.79 tff(f97,plain,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int] : (~$less(X0,X15) => 0 = num_of1(X8,X0,X15))), 2.95/0.79 inference(theory_normalization,[],[f21])). 2.95/0.79 tff(f21,axiom,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int] : ($lesseq(X15,X0) => 0 = num_of1(X8,X0,X15))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_empty)). 2.95/0.79 tff(f929,plain,( 2.95/0.79 sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | ~spl10_84), 2.95/0.79 inference(avatar_component_clause,[],[f928])). 2.95/0.79 tff(f1040,plain,( 2.95/0.79 spl10_77 | ~spl10_81 | spl10_90 | ~spl10_84), 2.95/0.79 inference(avatar_split_clause,[],[f1028,f928,f1036,f917,f903])). 2.95/0.79 tff(f903,plain,( 2.95/0.79 spl10_77 <=> $less(power1(10,$sum(sK0,-1)),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_77])])). 2.95/0.79 tff(f917,plain,( 2.95/0.79 spl10_81 <=> p1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_81])])). 2.95/0.79 tff(f1036,plain,( 2.95/0.79 spl10_90 <=> sK5 = $sum(sK3,$sum(power1(10,$sum(sK0,-1)),0))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_90])])). 2.95/0.79 tff(f1028,plain,( 2.95/0.79 sK5 = $sum(sK3,$sum(power1(10,$sum(sK0,-1)),0)) | ~p1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_84), 2.95/0.79 inference(evaluation,[],[f1026])). 2.95/0.79 tff(f1026,plain,( 2.95/0.79 sK5 = $sum(sK3,$sum(power1(10,$sum(sK0,-1)),$uminus(0))) | ~p1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_84), 2.95/0.79 inference(superposition,[],[f929,f339])). 2.95/0.79 tff(f339,plain,( 2.95/0.79 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : ($sum(X2,$uminus(X1)) = num_of1(X0,X1,X2) | ~p1(X0,sK6(X0,X1,X2)) | $less(X2,X1)) )), 2.95/0.79 inference(cnf_transformation,[],[f258])). 2.95/0.79 tff(f258,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : ($sum(X2,$uminus(X1)) = num_of1(X0,X1,X2) | (~p1(X0,sK6(X0,X1,X2)) & ~$less(sK6(X0,X1,X2),X1) & $less(sK6(X0,X1,X2),X2)) | $less(X2,X1))), 2.95/0.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f228,f257])). 2.95/0.79 tff(f257,plain,( 2.95/0.79 ! [X2 : $int,X1 : $int,X0 : lpintcm_intcm_intrp] : (? [X3 : $int] : (~p1(X0,X3) & ~$less(X3,X1) & $less(X3,X2)) => (~p1(X0,sK6(X0,X1,X2)) & ~$less(sK6(X0,X1,X2),X1) & $less(sK6(X0,X1,X2),X2)))), 2.95/0.79 introduced(choice_axiom,[])). 2.95/0.79 tff(f228,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : ($sum(X2,$uminus(X1)) = num_of1(X0,X1,X2) | ? [X3 : $int] : (~p1(X0,X3) & ~$less(X3,X1) & $less(X3,X2)) | $less(X2,X1))), 2.95/0.79 inference(flattening,[],[f227])). 2.95/0.79 tff(f227,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (($sum(X2,$uminus(X1)) = num_of1(X0,X1,X2) | ? [X3 : $int] : (~p1(X0,X3) & (~$less(X3,X1) & $less(X3,X2)))) | $less(X2,X1))), 2.95/0.79 inference(ennf_transformation,[],[f160])). 2.95/0.79 tff(f160,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X2,X1) => (! [X3 : $int] : ((~$less(X3,X1) & $less(X3,X2)) => p1(X0,X3)) => $sum(X2,$uminus(X1)) = num_of1(X0,X1,X2)))), 2.95/0.79 inference(rectify,[],[f99])). 2.95/0.79 tff(f99,plain,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int] : (~$less(X15,X0) => (! [X6 : $int] : ((~$less(X6,X0) & $less(X6,X15)) => p1(X8,X6)) => num_of1(X8,X0,X15) = $sum(X15,$uminus(X0))))), 2.95/0.79 inference(theory_normalization,[],[f73])). 2.95/0.79 tff(f73,axiom,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int] : ($lesseq(X0,X15) => (! [X6 : $int] : (($lesseq(X0,X6) & $less(X6,X15)) => p1(X8,X6)) => num_of1(X8,X0,X15) = $difference(X15,X0)))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',full)). 2.95/0.79 tff(f1039,plain,( 2.95/0.79 spl10_77 | ~spl10_80 | spl10_90 | ~spl10_84), 2.95/0.79 inference(avatar_split_clause,[],[f1029,f928,f1036,f913,f903])). 2.95/0.79 tff(f913,plain,( 2.95/0.79 spl10_80 <=> $less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_80])])). 2.95/0.79 tff(f1029,plain,( 2.95/0.79 sK5 = $sum(sK3,$sum(power1(10,$sum(sK0,-1)),0)) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),0) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_84), 2.95/0.79 inference(evaluation,[],[f1025])). 2.95/0.79 tff(f1025,plain,( 2.95/0.79 sK5 = $sum(sK3,$sum(power1(10,$sum(sK0,-1)),$uminus(0))) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),0) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_84), 2.95/0.79 inference(superposition,[],[f929,f338])). 2.95/0.79 tff(f338,plain,( 2.95/0.79 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : ($sum(X2,$uminus(X1)) = num_of1(X0,X1,X2) | ~$less(sK6(X0,X1,X2),X1) | $less(X2,X1)) )), 2.95/0.79 inference(cnf_transformation,[],[f258])). 2.95/0.79 tff(f1038,plain,( 2.95/0.79 spl10_77 | spl10_78 | spl10_90 | ~spl10_84), 2.95/0.79 inference(avatar_split_clause,[],[f1030,f928,f1036,f906,f903])). 2.95/0.79 tff(f906,plain,( 2.95/0.79 spl10_78 <=> $less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),power1(10,$sum(sK0,-1)))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_78])])). 2.95/0.79 tff(f1030,plain,( 2.95/0.79 sK5 = $sum(sK3,$sum(power1(10,$sum(sK0,-1)),0)) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),power1(10,$sum(sK0,-1))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_84), 2.95/0.79 inference(evaluation,[],[f1024])). 2.95/0.79 tff(f1024,plain,( 2.95/0.79 sK5 = $sum(sK3,$sum(power1(10,$sum(sK0,-1)),$uminus(0))) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),power1(10,$sum(sK0,-1))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_84), 2.95/0.79 inference(superposition,[],[f929,f337])). 2.95/0.79 tff(f337,plain,( 2.95/0.79 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : ($sum(X2,$uminus(X1)) = num_of1(X0,X1,X2) | $less(sK6(X0,X1,X2),X2) | $less(X2,X1)) )), 2.95/0.79 inference(cnf_transformation,[],[f258])). 2.95/0.79 tff(f1034,plain,( 2.95/0.79 spl10_11 | spl10_9 | ~spl10_74 | ~spl10_75 | spl10_89 | ~spl10_84), 2.95/0.79 inference(avatar_split_clause,[],[f1023,f928,f1032,f896,f893,f413,f421])). 2.95/0.79 tff(f421,plain,( 2.95/0.79 spl10_11 <=> $less(sK1,0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_11])])). 2.95/0.79 tff(f413,plain,( 2.95/0.79 spl10_9 <=> $less(sK4,0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_9])])). 2.95/0.79 tff(f893,plain,( 2.95/0.79 spl10_74 <=> $less(sK4,10)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_74])])). 2.95/0.79 tff(f896,plain,( 2.95/0.79 spl10_75 <=> $less(0,sK0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_75])])). 2.95/0.79 tff(f1032,plain,( 2.95/0.79 spl10_89 <=> sK5 = $sum(sK3,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_89])])). 2.95/0.79 tff(f1023,plain,( 2.95/0.79 sK5 = $sum(sK3,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | ~$less(0,sK0) | ~$less(sK4,10) | $less(sK4,0) | $less(sK1,0) | ~spl10_84), 2.95/0.79 inference(superposition,[],[f929,f377])). 2.95/0.79 tff(f377,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) = num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,X2),X0),10)),t2tb1($sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2))),t2tb1(10))),0,power1(10,$sum(X3,-1))) | ~$less(0,X3) | ~$less(X2,10) | $less(X2,0) | $less(X0,0)) )), 2.95/0.79 inference(evaluation,[],[f373])). 2.95/0.79 tff(f373,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) = num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,X2),X0),10)),t2tb1($sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2))),t2tb1(10))),0,power1(10,$sum(X3,$uminus(1)))) | ~$less(0,X3) | ~$less(X2,10) | $less(X2,0) | $less(X0,0)) )), 2.95/0.79 inference(definition_unfolding,[],[f350,f321])). 2.95/0.79 tff(f321,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X1:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0,power1(10,X2)) = solution1(X0,X1,X2)) )), 2.95/0.79 inference(cnf_transformation,[],[f145])). 2.95/0.79 tff(f145,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0,power1(10,X2)) = solution1(X0,X1,X2)), 2.95/0.79 inference(rectify,[],[f30])). 2.95/0.79 tff(f30,axiom,( 2.95/0.79 ! [X0 : $int,X15 : $int,X7 : $int] : num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(10))),0,power1(10,X7)) = solution1(X0,X15,X7)), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',solution_def)). 2.95/0.79 tff(f350,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) = solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) | ~$less(0,X3) | ~$less(X2,10) | $less(X2,0) | $less(X0,0)) )), 2.95/0.79 inference(cnf_transformation,[],[f236])). 2.95/0.79 tff(f236,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) = solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) | ~$less(0,X3) | ~$less(X2,10) | $less(X2,0) | $less(X0,0))), 2.95/0.79 inference(flattening,[],[f235])). 2.95/0.79 tff(f235,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (((num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) = solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) | ~$less(0,X3)) | (~$less(X2,10) | $less(X2,0))) | $less(X0,0))), 2.95/0.79 inference(ennf_transformation,[],[f166])). 2.95/0.79 tff(f166,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (~$less(X0,0) => (($less(X2,10) & ~$less(X2,0)) => ($less(0,X3) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) = solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))))))), 2.95/0.79 inference(rectify,[],[f103])). 2.95/0.79 tff(f103,plain,( 2.95/0.79 ! [X0 : $int,X15 : $int,X16 : $int,X7 : $int] : (~$less(X0,0) => (($less(X16,10) & ~$less(X16,0)) => ($less(0,X7) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)) = solution1($quotient_e($sum($product(137,X16),X0),10),$sum($sum($remainder_e($sum($product(137,X16),X0),10),X15),$uminus(X16)),$sum(X7,$uminus(1))))))), 2.95/0.79 inference(theory_normalization,[],[f11])). 2.95/0.79 tff(f11,axiom,( 2.95/0.79 ! [X0 : $int,X15 : $int,X16 : $int,X7 : $int] : ($lesseq(0,X0) => (($less(X16,10) & $lesseq(0,X16)) => ($less(0,X7) => solution1($quotient_e($sum($product(137,X16),X0),10),$difference($sum($remainder_e($sum($product(137,X16),X0),10),X15),X16),$difference(X7,1)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)))))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',induc)). 2.95/0.79 tff(f1004,plain,( 2.95/0.79 spl10_87 | ~spl10_88 | ~spl10_46), 2.95/0.79 inference(avatar_split_clause,[],[f987,f654,f1002,f999])). 2.95/0.79 tff(f999,plain,( 2.95/0.79 spl10_87 <=> ! [X4 : $int] : ($less(X4,power1(10,sK0)) | $less(0,X4))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_87])])). 2.95/0.79 tff(f1002,plain,( 2.95/0.79 spl10_88 <=> $less(0,sK3)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_88])])). 2.95/0.79 tff(f654,plain,( 2.95/0.79 spl10_46 <=> ! [X0 : $int] : (~$less(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X0),sK3) | $less(X0,power1(10,sK0)))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_46])])). 2.95/0.79 tff(f987,plain,( 2.95/0.79 ( ! [X4:$int] : (~$less(0,sK3) | $less(X4,power1(10,sK0)) | $less(0,X4)) ) | ~spl10_46), 2.95/0.79 inference(superposition,[],[f655,f335])). 2.95/0.79 tff(f655,plain,( 2.95/0.79 ( ! [X0:$int] : (~$less(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X0),sK3) | $less(X0,power1(10,sK0))) ) | ~spl10_46), 2.95/0.79 inference(avatar_component_clause,[],[f654])). 2.95/0.79 tff(f997,plain,( 2.95/0.79 spl10_85 | ~spl10_86 | ~spl10_7 | ~spl10_46), 2.95/0.79 inference(avatar_split_clause,[],[f982,f654,f405,f995,f992])). 2.95/0.79 tff(f992,plain,( 2.95/0.79 spl10_85 <=> $less(power1(10,sK0),power1(10,sK0))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_85])])). 2.95/0.79 tff(f995,plain,( 2.95/0.79 spl10_86 <=> $less(sK3,sK3)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_86])])). 2.95/0.79 tff(f405,plain,( 2.95/0.79 spl10_7 <=> sK3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_7])])). 2.95/0.79 tff(f982,plain,( 2.95/0.79 ~$less(sK3,sK3) | $less(power1(10,sK0),power1(10,sK0)) | (~spl10_7 | ~spl10_46)), 2.95/0.79 inference(superposition,[],[f655,f406])). 2.95/0.79 tff(f406,plain,( 2.95/0.79 sK3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) | ~spl10_7), 2.95/0.79 inference(avatar_component_clause,[],[f405])). 2.95/0.79 tff(f981,plain,( 2.95/0.79 spl10_36 | spl10_49 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f954,f405,f666,f612])). 2.95/0.79 tff(f612,plain,( 2.95/0.79 spl10_36 <=> $less(power1(10,sK0),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_36])])). 2.95/0.79 tff(f666,plain,( 2.95/0.79 spl10_49 <=> ! [X13 : $int,X12 : $int] : ($less(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X12)) | $less(X13,power1(10,sK0)) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X13) | ~$less(X13,X12))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_49])])). 2.95/0.79 tff(f954,plain,( 2.95/0.79 ( ! [X12:$int,X13:$int] : ($less(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X12)) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X13) | $less(power1(10,sK0),0) | ~$less(X13,X12) | $less(X13,power1(10,sK0))) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f363,f406])). 2.95/0.79 tff(f363,plain,( 2.95/0.79 ( ! [X4:$int,X2:$int,X0:lpintcm_intcm_intrp,X3:$int,X1:$int] : ($less(num_of1(X0,X1,X2),num_of1(X0,X1,X4)) | ~p1(X0,X3) | $less(X2,X1) | ~$less(X3,X4) | $less(X3,X2)) )), 2.95/0.79 inference(cnf_transformation,[],[f245])). 2.95/0.79 tff(f245,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int,X4 : $int] : ($less(num_of1(X0,X1,X2),num_of1(X0,X1,X4)) | ~p1(X0,X3) | $less(X2,X1) | ~$less(X3,X4) | $less(X3,X2))), 2.95/0.79 inference(flattening,[],[f244])). 2.95/0.79 tff(f244,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int,X4 : $int] : (($less(num_of1(X0,X1,X2),num_of1(X0,X1,X4)) | ~p1(X0,X3)) | ($less(X2,X1) | ~$less(X3,X4) | $less(X3,X2)))), 2.95/0.79 inference(ennf_transformation,[],[f173])). 2.95/0.79 tff(f173,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int,X4 : $int] : ((~$less(X2,X1) & $less(X3,X4) & ~$less(X3,X2)) => (p1(X0,X3) => $less(num_of1(X0,X1,X2),num_of1(X0,X1,X4))))), 2.95/0.79 inference(rectify,[],[f109])). 2.95/0.79 tff(f109,plain,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X9 : $int,X10 : $int,X11 : $int,X12 : $int] : ((~$less(X10,X9) & $less(X11,X12) & ~$less(X11,X10)) => (p1(X8,X11) => $less(num_of1(X8,X9,X10),num_of1(X8,X9,X12))))), 2.95/0.79 inference(theory_normalization,[],[f7])). 2.95/0.79 tff(f7,axiom,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X9 : $int,X10 : $int,X11 : $int,X12 : $int] : (($lesseq(X9,X10) & $less(X11,X12) & $lesseq(X10,X11)) => (p1(X8,X11) => $less(num_of1(X8,X9,X10),num_of1(X8,X9,X12))))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_strictly_increasing)). 2.95/0.79 tff(f980,plain,( 2.95/0.79 spl10_36 | spl10_48 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f945,f405,f662,f612])). 2.95/0.79 tff(f662,plain,( 2.95/0.79 spl10_48 <=> ! [X3 : $int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X3,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X3,0),sK3) | $less(0,X3))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_48])])). 2.95/0.79 tff(f945,plain,( 2.95/0.79 ( ! [X3:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X3,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X3,0),sK3) | $less(power1(10,sK0),0) | $less(0,X3)) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f353,f406])). 2.95/0.79 tff(f353,plain,( 2.95/0.79 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X3:$int,X1:$int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | $less(X3,X2) | $less(X2,X1)) )), 2.95/0.79 inference(cnf_transformation,[],[f241])). 2.95/0.79 tff(f241,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | $less(X3,X2) | $less(X2,X1))), 2.95/0.79 inference(flattening,[],[f240])). 2.95/0.79 tff(f240,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | ($less(X3,X2) | $less(X2,X1)))), 2.95/0.79 inference(ennf_transformation,[],[f169])). 2.95/0.79 tff(f169,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,X2) & ~$less(X2,X1)) => num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)))), 2.95/0.79 inference(rectify,[],[f105])). 2.95/0.79 tff(f105,plain,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int,X16 : $int] : ((~$less(X16,X15) & ~$less(X15,X0)) => $sum(num_of1(X8,X0,X15),num_of1(X8,X15,X16)) = num_of1(X8,X0,X16))), 2.95/0.79 inference(theory_normalization,[],[f24])). 2.95/0.79 tff(f24,axiom,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int,X16 : $int] : (($lesseq(X15,X16) & $lesseq(X0,X15)) => $sum(num_of1(X8,X0,X15),num_of1(X8,X15,X16)) = num_of1(X8,X0,X16))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_append)). 2.95/0.79 tff(f979,plain,( 2.95/0.79 spl10_36 | spl10_47 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f944,f405,f658,f612])). 2.95/0.79 tff(f658,plain,( 2.95/0.79 spl10_47 <=> ! [X2 : $int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X2) = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),power1(10,sK0),X2)) | $less(X2,power1(10,sK0)))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_47])])). 2.95/0.79 tff(f944,plain,( 2.95/0.79 ( ! [X2:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X2) = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),power1(10,sK0),X2)) | $less(X2,power1(10,sK0)) | $less(power1(10,sK0),0)) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f353,f406])). 2.95/0.79 tff(f978,plain,( 2.95/0.79 spl10_36 | spl10_46 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f942,f405,f654,f612])). 2.95/0.79 tff(f942,plain,( 2.95/0.79 ( ! [X0:$int] : (~$less(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X0),sK3) | $less(power1(10,sK0),0) | $less(X0,power1(10,sK0))) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f352,f406])). 2.95/0.79 tff(f352,plain,( 2.95/0.79 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X3:$int,X1:$int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2)) )), 2.95/0.79 inference(cnf_transformation,[],[f239])). 2.95/0.79 tff(f239,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2))), 2.95/0.79 inference(flattening,[],[f238])). 2.95/0.79 tff(f238,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | ($less(X2,X1) | $less(X3,X2)))), 2.95/0.79 inference(ennf_transformation,[],[f168])). 2.95/0.79 tff(f168,plain,( 2.95/0.79 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X2,X1) & ~$less(X3,X2)) => ~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)))), 2.95/0.79 inference(rectify,[],[f104])). 2.95/0.79 tff(f104,plain,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X9 : $int,X10 : $int,X11 : $int] : ((~$less(X10,X9) & ~$less(X11,X10)) => ~$less(num_of1(X8,X9,X11),num_of1(X8,X9,X10)))), 2.95/0.79 inference(theory_normalization,[],[f68])). 2.95/0.79 tff(f68,axiom,( 2.95/0.79 ! [X8 : lpintcm_intcm_intrp,X9 : $int,X10 : $int,X11 : $int] : (($lesseq(X9,X10) & $lesseq(X10,X11)) => $lesseq(num_of1(X8,X9,X10),num_of1(X8,X9,X11)))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_increasing)). 2.95/0.79 tff(f977,plain,( 2.95/0.79 spl10_36 | ~spl10_40 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f964,f405,f618,f626,f612])). 2.95/0.79 tff(f626,plain,( 2.95/0.79 spl10_40 <=> p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_40])])). 2.95/0.79 tff(f618,plain,( 2.95/0.79 spl10_38 <=> sK3 = $sum(power1(10,sK0),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_38])])). 2.95/0.79 tff(f964,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f941])). 2.95/0.79 tff(f941,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f339,f406])). 2.95/0.79 tff(f976,plain,( 2.95/0.79 spl10_36 | ~spl10_39 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f965,f405,f618,f622,f612])). 2.95/0.79 tff(f622,plain,( 2.95/0.79 spl10_39 <=> $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_39])])). 2.95/0.79 tff(f965,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f940])). 2.95/0.79 tff(f940,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f338,f406])). 2.95/0.79 tff(f975,plain,( 2.95/0.79 spl10_36 | spl10_37 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f966,f405,f618,f615,f612])). 2.95/0.79 tff(f615,plain,( 2.95/0.79 spl10_37 <=> $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_37])])). 2.95/0.79 tff(f966,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f939])). 2.95/0.79 tff(f939,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f337,f406])). 2.95/0.79 tff(f974,plain,( 2.95/0.79 spl10_43 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f935,f405,f637])). 2.95/0.79 tff(f637,plain,( 2.95/0.79 spl10_43 <=> num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1($sum(sK4,1)))),0,power1(10,sK0)),$uminus(sK3))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_43])])). 2.95/0.79 tff(f935,plain,( 2.95/0.79 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1($sum(sK4,1)))),0,power1(10,sK0)),$uminus(sK3)) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f362,f406])). 2.95/0.79 tff(f362,plain,( 2.95/0.79 ( ! [X4:$int,X2:$int,X0:$int,X3:$int,X1:$int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1(X4))),X0,X1) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1($sum(X4,1)))),X0,X1),$uminus(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1(X4))),X0,X1)))) )), 2.95/0.79 inference(cnf_transformation,[],[f172])). 2.95/0.79 tff(f172,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int] : num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1(X4))),X0,X1) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1($sum(X4,1)))),X0,X1),$uminus(num_of1(tb2t(tuple31(int,int,int,t2tb1(X2),t2tb1(X3),t2tb1(X4))),X0,X1)))), 2.95/0.79 inference(rectify,[],[f108])). 2.95/0.79 tff(f108,plain,( 2.95/0.79 ! [X3 : $int,X4 : $int,X0 : $int,X15 : $int,X16 : $int] : num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),X3,X4) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1($sum(X16,1)))),X3,X4),$uminus(num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),X3,X4)))), 2.95/0.79 inference(theory_normalization,[],[f58])). 2.95/0.79 tff(f58,axiom,( 2.95/0.79 ! [X3 : $int,X4 : $int,X0 : $int,X15 : $int,X16 : $int] : $difference(num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1($sum(X16,1)))),X3,X4),num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),X3,X4)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),X3,X4)), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_modc_def)). 2.95/0.79 tff(f973,plain,( 2.95/0.79 spl10_36 | ~spl10_40 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f968,f405,f618,f626,f612])). 2.95/0.79 tff(f968,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f933])). 2.95/0.79 tff(f933,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f406,f339])). 2.95/0.79 tff(f972,plain,( 2.95/0.79 spl10_36 | ~spl10_39 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f969,f405,f618,f622,f612])). 2.95/0.79 tff(f969,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f932])). 2.95/0.79 tff(f932,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f406,f338])). 2.95/0.79 tff(f971,plain,( 2.95/0.79 spl10_36 | spl10_37 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f970,f405,f618,f615,f612])). 2.95/0.79 tff(f970,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f931])). 2.95/0.79 tff(f931,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f406,f337])). 2.95/0.79 tff(f930,plain,( 2.95/0.79 spl10_84 | ~spl10_2 | ~spl10_3 | ~spl10_4), 2.95/0.79 inference(avatar_split_clause,[],[f799,f393,f389,f385,f928])). 2.95/0.79 tff(f385,plain,( 2.95/0.79 spl10_2 <=> mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_2])])). 2.95/0.79 tff(f389,plain,( 2.95/0.79 spl10_3 <=> div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_3])])). 2.95/0.79 tff(f393,plain,( 2.95/0.79 spl10_4 <=> sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_4])])). 2.95/0.79 tff(f799,plain,( 2.95/0.79 sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | (~spl10_2 | ~spl10_3 | ~spl10_4)), 2.95/0.79 inference(forward_demodulation,[],[f798,f390])). 2.95/0.79 tff(f390,plain,( 2.95/0.79 div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10) | ~spl10_3), 2.95/0.79 inference(avatar_component_clause,[],[f389])). 2.95/0.79 tff(f798,plain,( 2.95/0.79 sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | (~spl10_2 | ~spl10_4)), 2.95/0.79 inference(forward_demodulation,[],[f394,f386])). 2.95/0.79 tff(f386,plain,( 2.95/0.79 mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10) | ~spl10_2), 2.95/0.79 inference(avatar_component_clause,[],[f385])). 2.95/0.79 tff(f394,plain,( 2.95/0.79 sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | ~spl10_4), 2.95/0.79 inference(avatar_component_clause,[],[f393])). 2.95/0.79 tff(f926,plain,( 2.95/0.79 spl10_82 | spl10_83 | ~spl10_60), 2.95/0.79 inference(avatar_split_clause,[],[f886,f802,f924,f921])). 2.95/0.79 tff(f924,plain,( 2.95/0.79 spl10_83 <=> 0 = sK5), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_83])])). 2.95/0.79 tff(f802,plain,( 2.95/0.79 spl10_60 <=> sK5 = $sum(0,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_60])])). 2.95/0.79 tff(f886,plain,( 2.95/0.79 0 = sK5 | $less(0,power1(10,$sum(sK0,-1))) | ~spl10_60), 2.95/0.79 inference(evaluation,[],[f885])). 2.95/0.79 tff(f885,plain,( 2.95/0.79 sK5 = $sum(0,0) | $less(0,power1(10,$sum(sK0,-1))) | ~spl10_60), 2.95/0.79 inference(superposition,[],[f803,f335])). 2.95/0.79 tff(f803,plain,( 2.95/0.79 sK5 = $sum(0,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | ~spl10_60), 2.95/0.79 inference(avatar_component_clause,[],[f802])). 2.95/0.79 tff(f919,plain,( 2.95/0.79 spl10_77 | ~spl10_81 | spl10_79 | ~spl10_60), 2.95/0.79 inference(avatar_split_clause,[],[f887,f802,f909,f917,f903])). 2.95/0.79 tff(f909,plain,( 2.95/0.79 spl10_79 <=> sK5 = power1(10,$sum(sK0,-1))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_79])])). 2.95/0.79 tff(f887,plain,( 2.95/0.79 sK5 = power1(10,$sum(sK0,-1)) | ~p1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_60), 2.95/0.79 inference(evaluation,[],[f884])). 2.95/0.79 tff(f884,plain,( 2.95/0.79 sK5 = $sum(0,$sum(power1(10,$sum(sK0,-1)),$uminus(0))) | ~p1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_60), 2.95/0.79 inference(superposition,[],[f803,f339])). 2.95/0.79 tff(f915,plain,( 2.95/0.79 spl10_77 | ~spl10_80 | spl10_79 | ~spl10_60), 2.95/0.79 inference(avatar_split_clause,[],[f888,f802,f909,f913,f903])). 2.95/0.79 tff(f888,plain,( 2.95/0.79 sK5 = power1(10,$sum(sK0,-1)) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),0) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_60), 2.95/0.79 inference(evaluation,[],[f883])). 2.95/0.79 tff(f883,plain,( 2.95/0.79 sK5 = $sum(0,$sum(power1(10,$sum(sK0,-1)),$uminus(0))) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),0) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_60), 2.95/0.79 inference(superposition,[],[f803,f338])). 2.95/0.79 tff(f911,plain,( 2.95/0.79 spl10_77 | spl10_78 | spl10_79 | ~spl10_60), 2.95/0.79 inference(avatar_split_clause,[],[f889,f802,f909,f906,f903])). 2.95/0.79 tff(f889,plain,( 2.95/0.79 sK5 = power1(10,$sum(sK0,-1)) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),power1(10,$sum(sK0,-1))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_60), 2.95/0.79 inference(evaluation,[],[f882])). 2.95/0.79 tff(f882,plain,( 2.95/0.79 sK5 = $sum(0,$sum(power1(10,$sum(sK0,-1)),$uminus(0))) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))),power1(10,$sum(sK0,-1))) | $less(power1(10,$sum(sK0,-1)),0) | ~spl10_60), 2.95/0.79 inference(superposition,[],[f803,f337])). 2.95/0.79 tff(f901,plain,( 2.95/0.79 spl10_11 | spl10_9 | ~spl10_74 | ~spl10_75 | spl10_76 | ~spl10_60), 2.95/0.79 inference(avatar_split_clause,[],[f881,f802,f899,f896,f893,f413,f421])). 2.95/0.79 tff(f899,plain,( 2.95/0.79 spl10_76 <=> sK5 = $sum(0,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_76])])). 2.95/0.79 tff(f881,plain,( 2.95/0.79 sK5 = $sum(0,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | ~$less(0,sK0) | ~$less(sK4,10) | $less(sK4,0) | $less(sK1,0) | ~spl10_60), 2.95/0.79 inference(superposition,[],[f803,f377])). 2.95/0.79 tff(f880,plain,( 2.95/0.79 spl10_16 | ~spl10_23 | spl10_73 | ~spl10_64), 2.95/0.79 inference(avatar_split_clause,[],[f876,f823,f878,f483,f453])). 2.95/0.79 tff(f453,plain,( 2.95/0.79 spl10_16 <=> $less($remainder_e($sum($product(137,sK4),sK1),10),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_16])])). 2.95/0.79 tff(f483,plain,( 2.95/0.79 spl10_23 <=> $less($remainder_e($sum($product(137,sK4),sK1),10),10)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_23])])). 2.95/0.79 tff(f878,plain,( 2.95/0.79 spl10_73 <=> $quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(0,$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_73])])). 2.95/0.79 tff(f823,plain,( 2.95/0.79 spl10_64 <=> $quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(div2($remainder_e($sum($product(137,sK4),sK1),10),10),$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_64])])). 2.95/0.79 tff(f876,plain,( 2.95/0.79 $quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(0,$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~$less($remainder_e($sum($product(137,sK4),sK1),10),10) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | ~spl10_64), 2.95/0.79 inference(superposition,[],[f824,f313])). 2.95/0.79 tff(f313,plain,( 2.95/0.79 ( ! [X0:$int,X1:$int] : (0 = div2(X0,X1) | ~$less(X0,X1) | $less(X0,0)) )), 2.95/0.79 inference(cnf_transformation,[],[f199])). 2.95/0.79 tff(f199,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : (0 = div2(X0,X1) | ~$less(X0,X1) | $less(X0,0))), 2.95/0.79 inference(flattening,[],[f198])). 2.95/0.79 tff(f198,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : (0 = div2(X0,X1) | (~$less(X0,X1) | $less(X0,0)))), 2.95/0.79 inference(ennf_transformation,[],[f140])). 2.95/0.79 tff(f140,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => 0 = div2(X0,X1))), 2.95/0.79 inference(rectify,[],[f86])). 2.95/0.79 tff(f86,plain,( 2.95/0.79 ! [X3 : $int,X4 : $int] : (($less(X3,X4) & ~$less(X3,0)) => 0 = div2(X3,X4))), 2.95/0.79 inference(theory_normalization,[],[f6])). 2.95/0.79 tff(f6,axiom,( 2.95/0.79 ! [X3 : $int,X4 : $int] : (($less(X3,X4) & $lesseq(0,X3)) => 0 = div2(X3,X4))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_inf1)). 2.95/0.79 tff(f824,plain,( 2.95/0.79 $quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(div2($remainder_e($sum($product(137,sK4),sK1),10),10),$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~spl10_64), 2.95/0.79 inference(avatar_component_clause,[],[f823])). 2.95/0.79 tff(f866,plain,( 2.95/0.79 spl10_16 | spl10_72 | ~spl10_66), 2.95/0.79 inference(avatar_split_clause,[],[f853,f833,f864,f453])). 2.95/0.79 tff(f864,plain,( 2.95/0.79 spl10_72 <=> ! [X0 : $int] : (0 != $sum($remainder_e($sum($product(137,sK4),sK1),10),X0) | p1(tb2t(tuple31(int,int,int,t2tb1($remainder_e($sum($product(137,sK4),sK1),10)),t2tb1(X0),t2tb1(10))),0))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_72])])). 2.95/0.79 tff(f833,plain,( 2.95/0.79 spl10_66 <=> $remainder_e($sum($product(137,sK4),sK1),10) = sum_digits1($remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_66])])). 2.95/0.79 tff(f853,plain,( 2.95/0.79 ( ! [X0:$int] : (0 != $sum($remainder_e($sum($product(137,sK4),sK1),10),X0) | p1(tb2t(tuple31(int,int,int,t2tb1($remainder_e($sum($product(137,sK4),sK1),10)),t2tb1(X0),t2tb1(10))),0) | $less($remainder_e($sum($product(137,sK4),sK1),10),0)) ) | ~spl10_66), 2.95/0.79 inference(superposition,[],[f307,f834])). 2.95/0.79 tff(f834,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_66), 2.95/0.79 inference(avatar_component_clause,[],[f833])). 2.95/0.79 tff(f307,plain,( 2.95/0.79 ( ! [X0:$int,X1:$int] : (0 != $sum(sum_digits1(X0),X1) | p1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0) | $less(X0,0)) )), 2.95/0.79 inference(cnf_transformation,[],[f189])). 2.95/0.79 tff(f189,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : (p1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0) | 0 != $sum(sum_digits1(X0),X1) | $less(X0,0))), 2.95/0.79 inference(flattening,[],[f188])). 2.95/0.79 tff(f188,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : ((p1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0) | 0 != $sum(sum_digits1(X0),X1)) | $less(X0,0))), 2.95/0.79 inference(ennf_transformation,[],[f134])). 2.95/0.79 tff(f134,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : (~$less(X0,0) => (0 = $sum(sum_digits1(X0),X1) => p1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0)))), 2.95/0.79 inference(rectify,[],[f82])). 2.95/0.79 tff(f82,plain,( 2.95/0.79 ! [X0 : $int,X15 : $int] : (~$less(X0,0) => (0 = $sum(sum_digits1(X0),X15) => p1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(10))),0)))), 2.95/0.79 inference(theory_normalization,[],[f41])). 2.95/0.79 tff(f41,axiom,( 2.95/0.79 ! [X0 : $int,X15 : $int] : ($lesseq(0,X0) => (0 = $sum(sum_digits1(X0),X15) => p1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(10))),0)))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',base)). 2.95/0.79 tff(f862,plain,( 2.95/0.79 ~spl10_71 | ~spl10_66 | spl10_69), 2.95/0.79 inference(avatar_split_clause,[],[f852,f843,f833,f860])). 2.95/0.79 tff(f860,plain,( 2.95/0.79 spl10_71 <=> 0 = $remainder_e($sum($product(137,sK4),sK1),10)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_71])])). 2.95/0.79 tff(f843,plain,( 2.95/0.79 spl10_69 <=> 0 = sum_digits1($remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_69])])). 2.95/0.79 tff(f852,plain,( 2.95/0.79 0 != $remainder_e($sum($product(137,sK4),sK1),10) | (~spl10_66 | spl10_69)), 2.95/0.79 inference(superposition,[],[f844,f834])). 2.95/0.79 tff(f844,plain,( 2.95/0.79 0 != sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) | spl10_69), 2.95/0.79 inference(avatar_component_clause,[],[f843])). 2.95/0.79 tff(f858,plain,( 2.95/0.79 spl10_70 | ~spl10_58 | ~spl10_66), 2.95/0.79 inference(avatar_split_clause,[],[f850,f833,f767,f856])). 2.95/0.79 tff(f856,plain,( 2.95/0.79 spl10_70 <=> $remainder_e($sum($product(137,sK4),sK1),10) = $sum(sum_digits1($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_70])])). 2.95/0.79 tff(f767,plain,( 2.95/0.79 spl10_58 <=> sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) = $sum(sum_digits1($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_58])])). 2.95/0.79 tff(f850,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $sum(sum_digits1($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | (~spl10_58 | ~spl10_66)), 2.95/0.79 inference(backward_demodulation,[],[f768,f834])). 2.95/0.79 tff(f768,plain,( 2.95/0.79 sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) = $sum(sum_digits1($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_58), 2.95/0.79 inference(avatar_component_clause,[],[f767])). 2.95/0.79 tff(f849,plain,( 2.95/0.79 spl10_18 | spl10_69), 2.95/0.79 inference(avatar_split_clause,[],[f847,f843,f460])). 2.95/0.79 tff(f460,plain,( 2.95/0.79 spl10_18 <=> $less(0,$remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_18])])). 2.95/0.79 tff(f847,plain,( 2.95/0.79 $less(0,$remainder_e($sum($product(137,sK4),sK1),10)) | spl10_69), 2.95/0.79 inference(trivial_inequality_removal,[],[f846])). 2.95/0.79 tff(f846,plain,( 2.95/0.79 0 != 0 | $less(0,$remainder_e($sum($product(137,sK4),sK1),10)) | spl10_69), 2.95/0.79 inference(superposition,[],[f844,f295])). 2.95/0.79 tff(f295,plain,( 2.95/0.79 ( ! [X0:$int] : (0 = sum_digits1(X0) | $less(0,X0)) )), 2.95/0.79 inference(cnf_transformation,[],[f181])). 2.95/0.79 tff(f181,plain,( 2.95/0.79 ! [X0 : $int] : ((0 = sum_digits1(X0) | $less(0,X0)) & (sum_digits1(X0) = $sum(sum_digits1($quotient_e(X0,10)),$remainder_e(X0,10)) | ~$less(0,X0)))), 2.95/0.79 inference(ennf_transformation,[],[f124])). 2.95/0.79 tff(f124,plain,( 2.95/0.79 ! [X0 : $int] : ((~$less(0,X0) => 0 = sum_digits1(X0)) & ($less(0,X0) => sum_digits1(X0) = $sum(sum_digits1($quotient_e(X0,10)),$remainder_e(X0,10))))), 2.95/0.79 inference(rectify,[],[f77])). 2.95/0.79 tff(f77,plain,( 2.95/0.79 ! [X6 : $int] : ((~$less(0,X6) => 0 = sum_digits1(X6)) & ($less(0,X6) => sum_digits1(X6) = $sum(sum_digits1($quotient_e(X6,10)),$remainder_e(X6,10))))), 2.95/0.79 inference(theory_normalization,[],[f57])). 2.95/0.79 tff(f57,axiom,( 2.95/0.79 ! [X6 : $int] : (($lesseq(X6,0) => 0 = sum_digits1(X6)) & (~$lesseq(X6,0) => sum_digits1(X6) = $sum(sum_digits1($quotient_e(X6,10)),$remainder_e(X6,10))))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_digits_def)). 2.95/0.79 tff(f845,plain,( 2.95/0.79 spl10_67 | spl10_68 | ~spl10_69 | ~spl10_58), 2.95/0.79 inference(avatar_split_clause,[],[f827,f767,f843,f840,f837])). 2.95/0.79 tff(f837,plain,( 2.95/0.79 spl10_67 <=> $less($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_67])])). 2.95/0.79 tff(f840,plain,( 2.95/0.79 spl10_68 <=> p1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)),t2tb1($remainder_e($sum($product(137,sK4),sK1),10)),t2tb1(10))),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_68])])). 2.95/0.79 tff(f827,plain,( 2.95/0.79 0 != sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) | p1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)),t2tb1($remainder_e($sum($product(137,sK4),sK1),10)),t2tb1(10))),0) | $less($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10),0) | ~spl10_58), 2.95/0.79 inference(superposition,[],[f307,f768])). 2.95/0.79 tff(f835,plain,( 2.95/0.79 spl10_65 | spl10_66 | ~spl10_58 | ~spl10_61), 2.95/0.79 inference(avatar_split_clause,[],[f828,f812,f767,f833,f830])). 2.95/0.79 tff(f830,plain,( 2.95/0.79 spl10_65 <=> $less(0,$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_65])])). 2.95/0.79 tff(f812,plain,( 2.95/0.79 spl10_61 <=> $remainder_e($sum($product(137,sK4),sK1),10) = $sum(0,$remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_61])])). 2.95/0.79 tff(f828,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) | $less(0,$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | (~spl10_58 | ~spl10_61)), 2.95/0.79 inference(forward_demodulation,[],[f826,f813])). 2.95/0.79 tff(f813,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $sum(0,$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_61), 2.95/0.79 inference(avatar_component_clause,[],[f812])). 2.95/0.79 tff(f826,plain,( 2.95/0.79 sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) = $sum(0,$remainder_e($sum($product(137,sK4),sK1),10)) | $less(0,$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~spl10_58), 2.95/0.79 inference(superposition,[],[f768,f295])). 2.95/0.79 tff(f825,plain,( 2.95/0.79 spl10_64 | ~spl10_57), 2.95/0.79 inference(avatar_split_clause,[],[f808,f762,f823])). 2.95/0.79 tff(f762,plain,( 2.95/0.79 spl10_57 <=> $remainder_e($sum($product(137,sK4),sK1),10) = $sum($product(10,div2($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_57])])). 2.95/0.79 tff(f808,plain,( 2.95/0.79 $quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(div2($remainder_e($sum($product(137,sK4),sK1),10),10),$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~spl10_57), 2.95/0.79 inference(evaluation,[],[f807])). 2.95/0.79 tff(f807,plain,( 2.95/0.79 $quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(div2($remainder_e($sum($product(137,sK4),sK1),10),10),$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~$less(0,10) | ~spl10_57), 2.95/0.79 inference(superposition,[],[f332,f763])). 2.95/0.79 tff(f763,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $sum($product(10,div2($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_57), 2.95/0.79 inference(avatar_component_clause,[],[f762])). 2.95/0.79 tff(f332,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X1:$int] : ($quotient_e($sum($product(X0,X1),X2),X0) = $sum(X1,$quotient_e(X2,X0)) | ~$less(0,X0)) )), 2.95/0.79 inference(cnf_transformation,[],[f221])). 2.95/0.79 tff(f221,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : ($quotient_e($sum($product(X0,X1),X2),X0) = $sum(X1,$quotient_e(X2,X0)) | ~$less(0,X0))), 2.95/0.79 inference(ennf_transformation,[],[f155])). 2.95/0.79 tff(f155,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : ($less(0,X0) => $quotient_e($sum($product(X0,X1),X2),X0) = $sum(X1,$quotient_e(X2,X0)))), 2.95/0.79 inference(rectify,[],[f28])). 2.95/0.79 tff(f28,axiom,( 2.95/0.79 ! [X3 : $int,X4 : $int,X5 : $int] : ($less(0,X3) => $quotient_e($sum($product(X3,X4),X5),X3) = $sum(X4,$quotient_e(X5,X3)))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mult)). 2.95/0.79 tff(f821,plain,( 2.95/0.79 spl10_62 | spl10_16 | spl10_63 | ~spl10_57), 2.95/0.79 inference(avatar_split_clause,[],[f809,f762,f819,f453,f816])). 2.95/0.79 tff(f816,plain,( 2.95/0.79 spl10_62 <=> $less(div2($remainder_e($sum($product(137,sK4),sK1),10),10),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_62])])). 2.95/0.79 tff(f819,plain,( 2.95/0.79 spl10_63 <=> div2($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(div2($remainder_e($sum($product(137,sK4),sK1),10),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_63])])). 2.95/0.79 tff(f809,plain,( 2.95/0.79 div2($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(div2($remainder_e($sum($product(137,sK4),sK1),10),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10)) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less(div2($remainder_e($sum($product(137,sK4),sK1),10),10),0) | ~spl10_57), 2.95/0.79 inference(evaluation,[],[f806])). 2.95/0.79 tff(f806,plain,( 2.95/0.79 div2($remainder_e($sum($product(137,sK4),sK1),10),10) = $sum(div2($remainder_e($sum($product(137,sK4),sK1),10),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10)) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less(div2($remainder_e($sum($product(137,sK4),sK1),10),10),0) | ~$less(0,10) | ~spl10_57), 2.95/0.79 inference(superposition,[],[f340,f763])). 2.95/0.79 tff(f340,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X1:$int] : (div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)) | $less(X2,0) | $less(X1,0) | ~$less(0,X0)) )), 2.95/0.79 inference(cnf_transformation,[],[f230])). 2.95/0.79 tff(f230,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : (div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)) | $less(X2,0) | $less(X1,0) | ~$less(0,X0))), 2.95/0.79 inference(flattening,[],[f229])). 2.95/0.79 tff(f229,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : (div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)) | ($less(X2,0) | $less(X1,0) | ~$less(0,X0)))), 2.95/0.79 inference(ennf_transformation,[],[f161])). 2.95/0.79 tff(f161,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X2,0) & ~$less(X1,0) & $less(0,X0)) => div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)))), 2.95/0.79 inference(rectify,[],[f100])). 2.95/0.79 tff(f100,plain,( 2.95/0.79 ! [X3 : $int,X4 : $int,X5 : $int] : ((~$less(X5,0) & ~$less(X4,0) & $less(0,X3)) => div2($sum($product(X3,X4),X5),X3) = $sum(X4,div2(X5,X3)))), 2.95/0.79 inference(theory_normalization,[],[f67])). 2.95/0.79 tff(f67,axiom,( 2.95/0.79 ! [X3 : $int,X4 : $int,X5 : $int] : (($lesseq(0,X5) & $lesseq(0,X4) & $less(0,X3)) => div2($sum($product(X3,X4),X5),X3) = $sum(X4,div2(X5,X3)))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mult1)). 2.95/0.79 tff(f814,plain,( 2.95/0.79 spl10_16 | ~spl10_23 | spl10_61 | ~spl10_57), 2.95/0.79 inference(avatar_split_clause,[],[f810,f762,f812,f483,f453])). 2.95/0.79 tff(f810,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $sum(0,$remainder_e($sum($product(137,sK4),sK1),10)) | ~$less($remainder_e($sum($product(137,sK4),sK1),10),10) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | ~spl10_57), 2.95/0.79 inference(evaluation,[],[f805])). 2.95/0.79 tff(f805,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $sum($product(10,0),$remainder_e($sum($product(137,sK4),sK1),10)) | ~$less($remainder_e($sum($product(137,sK4),sK1),10),10) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | ~spl10_57), 2.95/0.79 inference(superposition,[],[f763,f313])). 2.95/0.79 tff(f804,plain,( 2.95/0.79 spl10_60 | ~spl10_2 | ~spl10_3 | ~spl10_4 | ~spl10_42), 2.95/0.79 inference(avatar_split_clause,[],[f800,f633,f393,f389,f385,f802])). 2.95/0.79 tff(f633,plain,( 2.95/0.79 spl10_42 <=> 0 = sK3), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_42])])). 2.95/0.79 tff(f800,plain,( 2.95/0.79 sK5 = $sum(0,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) | (~spl10_2 | ~spl10_3 | ~spl10_4 | ~spl10_42)), 2.95/0.79 inference(forward_demodulation,[],[f799,f634])). 2.95/0.79 tff(f634,plain,( 2.95/0.79 0 = sK3 | ~spl10_42), 2.95/0.79 inference(avatar_component_clause,[],[f633])). 2.95/0.79 tff(f788,plain,( 2.95/0.79 spl10_16 | ~spl10_23 | spl10_59 | ~spl10_54), 2.95/0.79 inference(avatar_split_clause,[],[f783,f742,f786,f483,f453])). 2.95/0.79 tff(f786,plain,( 2.95/0.79 spl10_59 <=> $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_59])])). 2.95/0.79 tff(f742,plain,( 2.95/0.79 spl10_54 <=> $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_54])])). 2.95/0.79 tff(f783,plain,( 2.95/0.79 $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),0) | ~$less($remainder_e($sum($product(137,sK4),sK1),10),10) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | ~spl10_54), 2.95/0.79 inference(superposition,[],[f743,f313])). 2.95/0.79 tff(f743,plain,( 2.95/0.79 $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~spl10_54), 2.95/0.79 inference(avatar_component_clause,[],[f742])). 2.95/0.79 tff(f769,plain,( 2.95/0.79 ~spl10_18 | spl10_58 | ~spl10_56), 2.95/0.79 inference(avatar_split_clause,[],[f765,f750,f767,f460])). 2.95/0.79 tff(f750,plain,( 2.95/0.79 spl10_56 <=> $remainder_e($sum($product(137,sK4),sK1),10) = $remainder_e($remainder_e($sum($product(137,sK4),sK1),10),10)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_56])])). 2.95/0.79 tff(f765,plain,( 2.95/0.79 sum_digits1($remainder_e($sum($product(137,sK4),sK1),10)) = $sum(sum_digits1($quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~$less(0,$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_56), 2.95/0.79 inference(superposition,[],[f294,f751])). 2.95/0.79 tff(f751,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $remainder_e($remainder_e($sum($product(137,sK4),sK1),10),10) | ~spl10_56), 2.95/0.79 inference(avatar_component_clause,[],[f750])). 2.95/0.79 tff(f294,plain,( 2.95/0.79 ( ! [X0:$int] : (sum_digits1(X0) = $sum(sum_digits1($quotient_e(X0,10)),$remainder_e(X0,10)) | ~$less(0,X0)) )), 2.95/0.79 inference(cnf_transformation,[],[f181])). 2.95/0.79 tff(f764,plain,( 2.95/0.79 spl10_57 | ~spl10_53), 2.95/0.79 inference(avatar_split_clause,[],[f758,f737,f762])). 2.95/0.79 tff(f737,plain,( 2.95/0.79 spl10_53 <=> $remainder_e($sum($product(137,sK4),sK1),10) = mod2($remainder_e($sum($product(137,sK4),sK1),10),10)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_53])])). 2.95/0.79 tff(f758,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $sum($product(10,div2($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_53), 2.95/0.79 inference(evaluation,[],[f757])). 2.95/0.79 tff(f757,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $sum($product(10,div2($remainder_e($sum($product(137,sK4),sK1),10),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | 0 = 10 | ~spl10_53), 2.95/0.79 inference(superposition,[],[f302,f738])). 2.95/0.79 tff(f738,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = mod2($remainder_e($sum($product(137,sK4),sK1),10),10) | ~spl10_53), 2.95/0.79 inference(avatar_component_clause,[],[f737])). 2.95/0.79 tff(f302,plain,( 2.95/0.79 ( ! [X0:$int,X1:$int] : ($sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 | 0 = X1) )), 2.95/0.79 inference(cnf_transformation,[],[f184])). 2.95/0.79 tff(f184,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : ($sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 | 0 = X1)), 2.95/0.79 inference(ennf_transformation,[],[f130])). 2.95/0.79 tff(f130,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int] : (0 != X1 => $sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0)), 2.95/0.79 inference(rectify,[],[f46])). 2.95/0.79 tff(f46,axiom,( 2.95/0.79 ! [X3 : $int,X4 : $int] : (0 != X4 => $sum($product(X4,div2(X3,X4)),mod2(X3,X4)) = X3)), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mod1)). 2.95/0.79 tff(f752,plain,( 2.95/0.79 spl10_56 | ~spl10_27), 2.95/0.79 inference(avatar_split_clause,[],[f729,f519,f750])). 2.95/0.79 tff(f519,plain,( 2.95/0.79 spl10_27 <=> $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_27])])). 2.95/0.79 tff(f729,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $remainder_e($remainder_e($sum($product(137,sK4),sK1),10),10) | ~spl10_27), 2.95/0.79 inference(evaluation,[],[f728])). 2.95/0.79 tff(f728,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = $remainder_e($remainder_e($sum($product(137,sK4),sK1),10),10) | ~$less(0,10) | ~spl10_27), 2.95/0.79 inference(superposition,[],[f331,f520])). 2.95/0.79 tff(f520,plain,( 2.95/0.79 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_27), 2.95/0.79 inference(avatar_component_clause,[],[f519])). 2.95/0.79 tff(f331,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X1:$int] : ($remainder_e($sum($product(X0,X1),X2),X0) = $remainder_e(X2,X0) | ~$less(0,X0)) )), 2.95/0.79 inference(cnf_transformation,[],[f220])). 2.95/0.79 tff(f220,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : ($remainder_e($sum($product(X0,X1),X2),X0) = $remainder_e(X2,X0) | ~$less(0,X0))), 2.95/0.79 inference(ennf_transformation,[],[f154])). 2.95/0.79 tff(f154,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : ($less(0,X0) => $remainder_e($sum($product(X0,X1),X2),X0) = $remainder_e(X2,X0))), 2.95/0.79 inference(rectify,[],[f23])). 2.95/0.79 tff(f23,axiom,( 2.95/0.79 ! [X3 : $int,X4 : $int,X5 : $int] : ($less(0,X3) => $remainder_e($sum($product(X3,X4),X5),X3) = $remainder_e(X5,X3))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_mult)). 2.95/0.79 tff(f748,plain,( 2.95/0.79 spl10_55 | ~spl10_27), 2.95/0.79 inference(avatar_split_clause,[],[f730,f519,f746])). 2.95/0.79 tff(f746,plain,( 2.95/0.79 spl10_55 <=> $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_55])])). 2.95/0.79 tff(f730,plain,( 2.95/0.79 $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~spl10_27), 2.95/0.79 inference(evaluation,[],[f727])). 2.95/0.79 tff(f727,plain,( 2.95/0.79 $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),$quotient_e($remainder_e($sum($product(137,sK4),sK1),10),10)) | ~$less(0,10) | ~spl10_27), 2.95/0.79 inference(superposition,[],[f332,f520])). 2.95/0.79 tff(f744,plain,( 2.95/0.79 spl10_25 | spl10_16 | spl10_54 | ~spl10_3 | ~spl10_27), 2.95/0.79 inference(avatar_split_clause,[],[f740,f519,f389,f742,f453,f510])). 2.95/0.79 tff(f510,plain,( 2.95/0.79 spl10_25 <=> $less($quotient_e($sum($product(137,sK4),sK1),10),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_25])])). 2.95/0.79 tff(f740,plain,( 2.95/0.79 $quotient_e($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10)) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($quotient_e($sum($product(137,sK4),sK1),10),0) | (~spl10_3 | ~spl10_27)), 2.95/0.79 inference(forward_demodulation,[],[f731,f390])). 2.95/0.79 tff(f731,plain,( 2.95/0.79 div2($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10)) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~spl10_27), 2.95/0.79 inference(evaluation,[],[f726])). 2.95/0.79 tff(f726,plain,( 2.95/0.79 div2($sum($product(137,sK4),sK1),10) = $sum($quotient_e($sum($product(137,sK4),sK1),10),div2($remainder_e($sum($product(137,sK4),sK1),10),10)) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~$less(0,10) | ~spl10_27), 2.95/0.79 inference(superposition,[],[f340,f520])). 2.95/0.79 tff(f739,plain,( 2.95/0.79 spl10_25 | spl10_16 | spl10_53 | ~spl10_2 | ~spl10_27), 2.95/0.79 inference(avatar_split_clause,[],[f733,f519,f385,f737,f453,f510])). 2.95/0.79 tff(f733,plain,( 2.95/0.79 $remainder_e($sum($product(137,sK4),sK1),10) = mod2($remainder_e($sum($product(137,sK4),sK1),10),10) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($quotient_e($sum($product(137,sK4),sK1),10),0) | (~spl10_2 | ~spl10_27)), 2.95/0.79 inference(forward_demodulation,[],[f732,f386])). 2.95/0.79 tff(f732,plain,( 2.95/0.79 mod2($sum($product(137,sK4),sK1),10) = mod2($remainder_e($sum($product(137,sK4),sK1),10),10) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~spl10_27), 2.95/0.79 inference(evaluation,[],[f725])). 2.95/0.79 tff(f725,plain,( 2.95/0.79 mod2($sum($product(137,sK4),sK1),10) = mod2($remainder_e($sum($product(137,sK4),sK1),10),10) | ~$less(0,10) | $less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~spl10_27), 2.95/0.79 inference(superposition,[],[f341,f520])). 2.95/0.79 tff(f341,plain,( 2.95/0.79 ( ! [X2:$int,X0:$int,X1:$int] : (mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0) | ~$less(0,X0) | $less(X2,0) | $less(X1,0)) )), 2.95/0.79 inference(cnf_transformation,[],[f232])). 2.95/0.79 tff(f232,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : (mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0) | ~$less(0,X0) | $less(X2,0) | $less(X1,0))), 2.95/0.79 inference(flattening,[],[f231])). 2.95/0.79 tff(f231,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : (mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0) | (~$less(0,X0) | $less(X2,0) | $less(X1,0)))), 2.95/0.79 inference(ennf_transformation,[],[f162])). 2.95/0.79 tff(f162,plain,( 2.95/0.79 ! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & ~$less(X2,0) & ~$less(X1,0)) => mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0))), 2.95/0.79 inference(rectify,[],[f101])). 2.95/0.79 tff(f101,plain,( 2.95/0.79 ! [X3 : $int,X4 : $int,X5 : $int] : (($less(0,X3) & ~$less(X5,0) & ~$less(X4,0)) => mod2(X5,X3) = mod2($sum($product(X3,X4),X5),X3))), 2.95/0.79 inference(theory_normalization,[],[f33])). 2.95/0.79 tff(f33,axiom,( 2.95/0.79 ! [X3 : $int,X4 : $int,X5 : $int] : (($less(0,X3) & $lesseq(0,X5) & $lesseq(0,X4)) => mod2(X5,X3) = mod2($sum($product(X3,X4),X5),X3))), 2.95/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_mult1)). 2.95/0.79 tff(f724,plain,( 2.95/0.79 spl10_27 | ~spl10_3 | ~spl10_21), 2.95/0.79 inference(avatar_split_clause,[],[f723,f472,f389,f519])). 2.95/0.79 tff(f472,plain,( 2.95/0.79 spl10_21 <=> $sum($product(137,sK4),sK1) = $sum($product(10,div2($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_21])])). 2.95/0.79 tff(f723,plain,( 2.95/0.79 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | (~spl10_3 | ~spl10_21)), 2.95/0.79 inference(forward_demodulation,[],[f473,f390])). 2.95/0.79 tff(f473,plain,( 2.95/0.79 $sum($product(137,sK4),sK1) = $sum($product(10,div2($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_21), 2.95/0.79 inference(avatar_component_clause,[],[f472])). 2.95/0.79 tff(f722,plain,( 2.95/0.79 ~spl10_52 | spl10_1 | ~spl10_42), 2.95/0.79 inference(avatar_split_clause,[],[f718,f633,f381,f720])). 2.95/0.79 tff(f720,plain,( 2.95/0.79 spl10_52 <=> num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(sK5,0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_52])])). 2.95/0.79 tff(f381,plain,( 2.95/0.79 spl10_1 <=> num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(sK5,$uminus(sK3))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_1])])). 2.95/0.79 tff(f718,plain,( 2.95/0.79 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,0) | (spl10_1 | ~spl10_42)), 2.95/0.79 inference(evaluation,[],[f717])). 2.95/0.79 tff(f717,plain,( 2.95/0.79 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(0)) | (spl10_1 | ~spl10_42)), 2.95/0.79 inference(forward_demodulation,[],[f382,f634])). 2.95/0.79 tff(f382,plain,( 2.95/0.79 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(sK3)) | spl10_1), 2.95/0.79 inference(avatar_component_clause,[],[f381])). 2.95/0.79 tff(f716,plain,( 2.95/0.79 spl10_51 | ~spl10_50), 2.95/0.79 inference(avatar_split_clause,[],[f709,f671,f714])). 2.95/0.79 tff(f714,plain,( 2.95/0.79 spl10_51 <=> num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1($sum(sK4,1)))),0,power1(10,sK0)),0)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_51])])). 2.95/0.79 tff(f671,plain,( 2.95/0.79 spl10_50 <=> 0 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_50])])). 2.95/0.79 tff(f709,plain,( 2.95/0.79 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1($sum(sK4,1)))),0,power1(10,sK0)),0) | ~spl10_50), 2.95/0.79 inference(evaluation,[],[f677])). 2.95/0.79 tff(f677,plain,( 2.95/0.79 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1($sum(sK4,1)))),0,power1(10,sK0)),$uminus(0)) | ~spl10_50), 2.95/0.79 inference(superposition,[],[f362,f672])). 2.95/0.79 tff(f672,plain,( 2.95/0.79 0 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) | ~spl10_50), 2.95/0.79 inference(avatar_component_clause,[],[f671])). 2.95/0.79 tff(f673,plain,( 2.95/0.79 spl10_50 | ~spl10_7 | ~spl10_42), 2.95/0.79 inference(avatar_split_clause,[],[f669,f633,f405,f671])). 2.95/0.79 tff(f669,plain,( 2.95/0.79 0 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) | (~spl10_7 | ~spl10_42)), 2.95/0.79 inference(backward_demodulation,[],[f406,f634])). 2.95/0.79 tff(f668,plain,( 2.95/0.79 spl10_36 | spl10_49 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f594,f405,f666,f612])). 2.95/0.79 tff(f594,plain,( 2.95/0.79 ( ! [X12:$int,X13:$int] : ($less(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X12)) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X13) | $less(power1(10,sK0),0) | ~$less(X13,X12) | $less(X13,power1(10,sK0))) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f363,f406])). 2.95/0.79 tff(f664,plain,( 2.95/0.79 spl10_36 | spl10_48 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f585,f405,f662,f612])). 2.95/0.79 tff(f585,plain,( 2.95/0.79 ( ! [X3:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X3,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),X3,0),sK3) | $less(power1(10,sK0),0) | $less(0,X3)) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f353,f406])). 2.95/0.79 tff(f660,plain,( 2.95/0.79 spl10_36 | spl10_47 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f584,f405,f658,f612])). 2.95/0.79 tff(f584,plain,( 2.95/0.79 ( ! [X2:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X2) = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),power1(10,sK0),X2)) | $less(X2,power1(10,sK0)) | $less(power1(10,sK0),0)) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f353,f406])). 2.95/0.79 tff(f656,plain,( 2.95/0.79 spl10_36 | spl10_46 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f582,f405,f654,f612])). 2.95/0.79 tff(f582,plain,( 2.95/0.79 ( ! [X0:$int] : (~$less(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X0),sK3) | $less(power1(10,sK0),0) | $less(X0,power1(10,sK0))) ) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f352,f406])). 2.95/0.79 tff(f652,plain,( 2.95/0.79 spl10_36 | ~spl10_40 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f604,f405,f618,f626,f612])). 2.95/0.79 tff(f604,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f581])). 2.95/0.79 tff(f581,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f339,f406])). 2.95/0.79 tff(f651,plain,( 2.95/0.79 spl10_36 | ~spl10_39 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f605,f405,f618,f622,f612])). 2.95/0.79 tff(f605,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f580])). 2.95/0.79 tff(f580,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f338,f406])). 2.95/0.79 tff(f650,plain,( 2.95/0.79 spl10_36 | spl10_37 | spl10_38 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f606,f405,f618,f615,f612])). 2.95/0.79 tff(f606,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),0) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f579])). 2.95/0.79 tff(f579,plain,( 2.95/0.79 sK3 = $sum(power1(10,sK0),$uminus(0)) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f337,f406])). 2.95/0.79 tff(f649,plain,( 2.95/0.79 spl10_41 | spl10_42 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f578,f405,f633,f630])). 2.95/0.79 tff(f630,plain,( 2.95/0.79 spl10_41 <=> $less(0,power1(10,sK0))), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_41])])). 2.95/0.79 tff(f578,plain,( 2.95/0.79 0 = sK3 | $less(0,power1(10,sK0)) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f335,f406])). 2.95/0.79 tff(f648,plain,( 2.95/0.79 ~spl10_41 | ~spl10_45 | ~spl10_7), 2.95/0.79 inference(avatar_split_clause,[],[f607,f405,f646,f630])). 2.95/0.79 tff(f646,plain,( 2.95/0.79 spl10_45 <=> $less($sum(power1(10,sK0),0),sK3)), 2.95/0.79 introduced(avatar_definition,[new_symbols(naming,[spl10_45])])). 2.95/0.79 tff(f607,plain,( 2.95/0.79 ~$less($sum(power1(10,sK0),0),sK3) | ~$less(0,power1(10,sK0)) | ~spl10_7), 2.95/0.79 inference(evaluation,[],[f577])). 2.95/0.79 tff(f577,plain,( 2.95/0.79 ~$less($sum(power1(10,sK0),$uminus(0)),sK3) | ~$less(0,power1(10,sK0)) | ~spl10_7), 2.95/0.79 inference(superposition,[],[f326,f406])). 3.28/0.80 tff(f326,plain,( 3.28/0.80 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) | ~$less(X1,X2)) )), 3.28/0.80 inference(cnf_transformation,[],[f211])). 3.28/0.80 tff(f211,plain,( 3.28/0.80 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : ((~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) & ~$less(num_of1(X0,X1,X2),0)) | ~$less(X1,X2))), 3.28/0.80 inference(ennf_transformation,[],[f149])). 3.28/0.80 tff(f149,plain,( 3.28/0.80 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) & ~$less(num_of1(X0,X1,X2),0)))), 3.28/0.80 inference(rectify,[],[f94])). 3.28/0.80 tff(f94,plain,( 3.28/0.80 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int] : ($less(X0,X15) => (~$less($sum(X15,$uminus(X0)),num_of1(X8,X0,X15)) & ~$less(num_of1(X8,X0,X15),0)))), 3.28/0.80 inference(theory_normalization,[],[f36])). 3.28/0.80 tff(f36,axiom,( 3.28/0.80 ! [X8 : lpintcm_intcm_intrp,X0 : $int,X15 : $int] : ($less(X0,X15) => ($lesseq(num_of1(X8,X0,X15),$difference(X15,X0)) & $lesseq(0,num_of1(X8,X0,X15))))), 3.28/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_bounds)). 3.28/0.80 tff(f644,plain,( 3.28/0.80 ~spl10_41 | ~spl10_44 | ~spl10_7), 3.28/0.80 inference(avatar_split_clause,[],[f576,f405,f642,f630])). 3.28/0.80 tff(f642,plain,( 3.28/0.80 spl10_44 <=> $less(sK3,0)), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_44])])). 3.28/0.80 tff(f576,plain,( 3.28/0.80 ~$less(sK3,0) | ~$less(0,power1(10,sK0)) | ~spl10_7), 3.28/0.80 inference(superposition,[],[f325,f406])). 3.28/0.80 tff(f325,plain,( 3.28/0.80 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (~$less(num_of1(X0,X1,X2),0) | ~$less(X1,X2)) )), 3.28/0.80 inference(cnf_transformation,[],[f211])). 3.28/0.80 tff(f639,plain,( 3.28/0.80 spl10_43 | ~spl10_7), 3.28/0.80 inference(avatar_split_clause,[],[f575,f405,f637])). 3.28/0.80 tff(f575,plain,( 3.28/0.80 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = $sum(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1($sum(sK4,1)))),0,power1(10,sK0)),$uminus(sK3)) | ~spl10_7), 3.28/0.80 inference(superposition,[],[f362,f406])). 3.28/0.80 tff(f635,plain,( 3.28/0.80 spl10_41 | spl10_42 | ~spl10_7), 3.28/0.80 inference(avatar_split_clause,[],[f574,f405,f633,f630])). 3.28/0.80 tff(f574,plain,( 3.28/0.80 0 = sK3 | $less(0,power1(10,sK0)) | ~spl10_7), 3.28/0.80 inference(superposition,[],[f406,f335])). 3.28/0.80 tff(f628,plain,( 3.28/0.80 spl10_36 | ~spl10_40 | spl10_38 | ~spl10_7), 3.28/0.80 inference(avatar_split_clause,[],[f608,f405,f618,f626,f612])). 3.28/0.80 tff(f608,plain,( 3.28/0.80 sK3 = $sum(power1(10,sK0),0) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 3.28/0.80 inference(evaluation,[],[f573])). 3.28/0.80 tff(f573,plain,( 3.28/0.80 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | $less(power1(10,sK0),0) | ~spl10_7), 3.28/0.80 inference(superposition,[],[f406,f339])). 3.28/0.80 tff(f624,plain,( 3.28/0.80 spl10_36 | ~spl10_39 | spl10_38 | ~spl10_7), 3.28/0.80 inference(avatar_split_clause,[],[f609,f405,f618,f622,f612])). 3.28/0.80 tff(f609,plain,( 3.28/0.80 sK3 = $sum(power1(10,sK0),0) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 3.28/0.80 inference(evaluation,[],[f572])). 3.28/0.80 tff(f572,plain,( 3.28/0.80 sK3 = $sum(power1(10,sK0),$uminus(0)) | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_7), 3.28/0.80 inference(superposition,[],[f406,f338])). 3.28/0.80 tff(f620,plain,( 3.28/0.80 spl10_36 | spl10_37 | spl10_38 | ~spl10_7), 3.28/0.80 inference(avatar_split_clause,[],[f610,f405,f618,f615,f612])). 3.28/0.80 tff(f610,plain,( 3.28/0.80 sK3 = $sum(power1(10,sK0),0) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 3.28/0.80 inference(evaluation,[],[f571])). 3.28/0.80 tff(f571,plain,( 3.28/0.80 sK3 = $sum(power1(10,sK0),$uminus(0)) | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_7), 3.28/0.80 inference(superposition,[],[f406,f337])). 3.28/0.80 tff(f570,plain,( 3.28/0.80 spl10_13 | ~spl10_35 | spl10_33), 3.28/0.80 inference(avatar_split_clause,[],[f568,f552,f565,f442])). 3.28/0.80 tff(f442,plain,( 3.28/0.80 spl10_13 <=> $less($sum($product(137,sK4),sK1),0)), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_13])])). 3.28/0.80 tff(f565,plain,( 3.28/0.80 spl10_35 <=> $less($sum($product(137,sK4),sK1),$uminus($product($quotient_e($sum($product(137,sK4),sK1),10),10)))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_35])])). 3.28/0.80 tff(f552,plain,( 3.28/0.80 spl10_33 <=> $less(abs1($sum($product(137,sK4),sK1)),$uminus($product($quotient_e($sum($product(137,sK4),sK1),10),10)))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_33])])). 3.28/0.80 tff(f568,plain,( 3.28/0.80 ~$less($sum($product(137,sK4),sK1),$uminus($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | $less($sum($product(137,sK4),sK1),0) | spl10_33), 3.28/0.80 inference(superposition,[],[f553,f296])). 3.28/0.80 tff(f296,plain,( 3.28/0.80 ( ! [X0:$int] : (abs1(X0) = X0 | $less(X0,0)) )), 3.28/0.80 inference(cnf_transformation,[],[f182])). 3.28/0.80 tff(f182,plain,( 3.28/0.80 ! [X0 : $int] : (($uminus(X0) = abs1(X0) | ~$less(X0,0)) & (abs1(X0) = X0 | $less(X0,0)))), 3.28/0.80 inference(ennf_transformation,[],[f125])). 3.28/0.80 tff(f125,plain,( 3.28/0.80 ! [X0 : $int] : (($less(X0,0) => $uminus(X0) = abs1(X0)) & (~$less(X0,0) => abs1(X0) = X0))), 3.28/0.80 inference(rectify,[],[f78])). 3.28/0.80 tff(f78,plain,( 3.28/0.80 ! [X3 : $int] : (($less(X3,0) => abs1(X3) = $uminus(X3)) & (~$less(X3,0) => abs1(X3) = X3))), 3.28/0.80 inference(theory_normalization,[],[f56])). 3.28/0.80 tff(f56,axiom,( 3.28/0.80 ! [X3 : $int] : ((~$lesseq(0,X3) => abs1(X3) = $uminus(X3)) & ($lesseq(0,X3) => abs1(X3) = X3))), 3.28/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_def)). 3.28/0.80 tff(f553,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),$uminus($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | spl10_33), 3.28/0.80 inference(avatar_component_clause,[],[f552])). 3.28/0.80 tff(f567,plain,( 3.28/0.80 ~spl10_32 | ~spl10_35 | spl10_30), 3.28/0.80 inference(avatar_split_clause,[],[f563,f538,f565,f547])). 3.28/0.80 tff(f547,plain,( 3.28/0.80 spl10_32 <=> $less($product($quotient_e($sum($product(137,sK4),sK1),10),10),0)), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_32])])). 3.28/0.80 tff(f538,plain,( 3.28/0.80 spl10_30 <=> $less($sum($product(137,sK4),sK1),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10)))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_30])])). 3.28/0.80 tff(f563,plain,( 3.28/0.80 ~$less($sum($product(137,sK4),sK1),$uminus($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | ~$less($product($quotient_e($sum($product(137,sK4),sK1),10),10),0) | spl10_30), 3.28/0.80 inference(superposition,[],[f539,f297])). 3.28/0.80 tff(f297,plain,( 3.28/0.80 ( ! [X0:$int] : ($uminus(X0) = abs1(X0) | ~$less(X0,0)) )), 3.28/0.80 inference(cnf_transformation,[],[f182])). 3.28/0.80 tff(f539,plain,( 3.28/0.80 ~$less($sum($product(137,sK4),sK1),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | spl10_30), 3.28/0.80 inference(avatar_component_clause,[],[f538])). 3.28/0.80 tff(f560,plain,( 3.28/0.80 spl10_13 | ~spl10_34 | spl10_29), 3.28/0.80 inference(avatar_split_clause,[],[f555,f534,f558,f442])). 3.28/0.80 tff(f558,plain,( 3.28/0.80 spl10_34 <=> $less($sum($product(137,sK4),sK1),$product($quotient_e($sum($product(137,sK4),sK1),10),10))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_34])])). 3.28/0.80 tff(f534,plain,( 3.28/0.80 spl10_29 <=> $less(abs1($sum($product(137,sK4),sK1)),$product($quotient_e($sum($product(137,sK4),sK1),10),10))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_29])])). 3.28/0.80 tff(f555,plain,( 3.28/0.80 ~$less($sum($product(137,sK4),sK1),$product($quotient_e($sum($product(137,sK4),sK1),10),10)) | $less($sum($product(137,sK4),sK1),0) | spl10_29), 3.28/0.80 inference(superposition,[],[f535,f296])). 3.28/0.80 tff(f535,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),$product($quotient_e($sum($product(137,sK4),sK1),10),10)) | spl10_29), 3.28/0.80 inference(avatar_component_clause,[],[f534])). 3.28/0.80 tff(f554,plain,( 3.28/0.80 ~spl10_32 | ~spl10_33 | spl10_26), 3.28/0.80 inference(avatar_split_clause,[],[f532,f514,f552,f547])). 3.28/0.80 tff(f514,plain,( 3.28/0.80 spl10_26 <=> $less(abs1($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10)))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_26])])). 3.28/0.80 tff(f532,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),$uminus($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | ~$less($product($quotient_e($sum($product(137,sK4),sK1),10),10),0) | spl10_26), 3.28/0.80 inference(superposition,[],[f515,f297])). 3.28/0.80 tff(f515,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | spl10_26), 3.28/0.80 inference(avatar_component_clause,[],[f514])). 3.28/0.80 tff(f549,plain,( 3.28/0.80 spl10_32 | ~spl10_29 | spl10_26), 3.28/0.80 inference(avatar_split_clause,[],[f531,f514,f534,f547])). 3.28/0.80 tff(f531,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),$product($quotient_e($sum($product(137,sK4),sK1),10),10)) | $less($product($quotient_e($sum($product(137,sK4),sK1),10),10),0) | spl10_26), 3.28/0.80 inference(superposition,[],[f515,f296])). 3.28/0.80 tff(f545,plain,( 3.28/0.80 ~spl10_13 | ~spl10_31 | spl10_26), 3.28/0.80 inference(avatar_split_clause,[],[f530,f514,f543,f442])). 3.28/0.80 tff(f543,plain,( 3.28/0.80 spl10_31 <=> $less($uminus($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10)))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_31])])). 3.28/0.80 tff(f530,plain,( 3.28/0.80 ~$less($uminus($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | ~$less($sum($product(137,sK4),sK1),0) | spl10_26), 3.28/0.80 inference(superposition,[],[f515,f297])). 3.28/0.80 tff(f540,plain,( 3.28/0.80 spl10_13 | ~spl10_30 | spl10_26), 3.28/0.80 inference(avatar_split_clause,[],[f529,f514,f538,f442])). 3.28/0.80 tff(f529,plain,( 3.28/0.80 ~$less($sum($product(137,sK4),sK1),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | $less($sum($product(137,sK4),sK1),0) | spl10_26), 3.28/0.80 inference(superposition,[],[f515,f296])). 3.28/0.80 tff(f536,plain,( 3.28/0.80 ~spl10_29 | spl10_26), 3.28/0.80 inference(avatar_split_clause,[],[f528,f514,f534])). 3.28/0.80 tff(f528,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),$product($quotient_e($sum($product(137,sK4),sK1),10),10)) | spl10_26), 3.28/0.80 inference(resolution,[],[f515,f319])). 3.28/0.80 tff(f319,plain,( 3.28/0.80 ( ! [X0:$int,X1:$int] : ($less(X1,abs1(X0)) | ~$less(X1,X0)) )), 3.28/0.80 inference(cnf_transformation,[],[f256])). 3.28/0.80 tff(f256,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs1(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs1(X0))))), 3.28/0.80 inference(flattening,[],[f255])). 3.28/0.80 tff(f255,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs1(X0)) | ($less(X1,X0) | $less(X0,$uminus(X1)))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs1(X0))))), 3.28/0.80 inference(nnf_transformation,[],[f144])). 3.28/0.80 tff(f144,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (~$less(X1,abs1(X0)) <=> (~$less(X1,X0) & ~$less(X0,$uminus(X1))))), 3.28/0.80 inference(rectify,[],[f90])). 3.28/0.80 tff(f90,plain,( 3.28/0.80 ! [X3 : $int,X4 : $int] : (~$less(X4,abs1(X3)) <=> (~$less(X4,X3) & ~$less(X3,$uminus(X4))))), 3.28/0.80 inference(theory_normalization,[],[f66])). 3.28/0.80 tff(f66,axiom,( 3.28/0.80 ! [X3 : $int,X4 : $int] : ($lesseq(abs1(X3),X4) <=> ($lesseq(X3,X4) & $lesseq($uminus(X4),X3)))), 3.28/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_le)). 3.28/0.80 tff(f527,plain,( 3.28/0.80 spl10_13 | ~spl10_28 | ~spl10_3), 3.28/0.80 inference(avatar_split_clause,[],[f503,f389,f525,f442])). 3.28/0.80 tff(f525,plain,( 3.28/0.80 spl10_28 <=> $less($sum($product(137,sK4),sK1),$quotient_e($sum($product(137,sK4),sK1),10))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_28])])). 3.28/0.80 tff(f503,plain,( 3.28/0.80 ~$less($sum($product(137,sK4),sK1),$quotient_e($sum($product(137,sK4),sK1),10)) | $less($sum($product(137,sK4),sK1),0) | ~spl10_3), 3.28/0.80 inference(evaluation,[],[f502])). 3.28/0.80 tff(f502,plain,( 3.28/0.80 ~$less($sum($product(137,sK4),sK1),$quotient_e($sum($product(137,sK4),sK1),10)) | ~$less(0,10) | $less($sum($product(137,sK4),sK1),0) | ~spl10_3), 3.28/0.80 inference(superposition,[],[f317,f390])). 3.28/0.80 tff(f317,plain,( 3.28/0.80 ( ! [X0:$int,X1:$int] : (~$less(X0,div2(X0,X1)) | ~$less(0,X1) | $less(X0,0)) )), 3.28/0.80 inference(cnf_transformation,[],[f205])). 3.28/0.80 tff(f205,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : ((~$less(X0,div2(X0,X1)) & ~$less(div2(X0,X1),0)) | ~$less(0,X1) | $less(X0,0))), 3.28/0.80 inference(flattening,[],[f204])). 3.28/0.80 tff(f204,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : ((~$less(X0,div2(X0,X1)) & ~$less(div2(X0,X1),0)) | (~$less(0,X1) | $less(X0,0)))), 3.28/0.80 inference(ennf_transformation,[],[f143])). 3.28/0.80 tff(f143,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(X0,0)) => (~$less(X0,div2(X0,X1)) & ~$less(div2(X0,X1),0)))), 3.28/0.80 inference(rectify,[],[f89])). 3.28/0.80 tff(f89,plain,( 3.28/0.80 ! [X3 : $int,X4 : $int] : (($less(0,X4) & ~$less(X3,0)) => (~$less(X3,div2(X3,X4)) & ~$less(div2(X3,X4),0)))), 3.28/0.80 inference(theory_normalization,[],[f72])). 3.28/0.80 tff(f72,axiom,( 3.28/0.80 ! [X3 : $int,X4 : $int] : (($less(0,X4) & $lesseq(0,X3)) => ($lesseq(div2(X3,X4),X3) & $lesseq(0,div2(X3,X4))))), 3.28/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_bound1)). 3.28/0.80 tff(f523,plain,( 3.28/0.80 spl10_13 | ~spl10_25 | ~spl10_3), 3.28/0.80 inference(avatar_split_clause,[],[f504,f389,f510,f442])). 3.28/0.80 tff(f504,plain,( 3.28/0.80 ~$less($quotient_e($sum($product(137,sK4),sK1),10),0) | $less($sum($product(137,sK4),sK1),0) | ~spl10_3), 3.28/0.80 inference(evaluation,[],[f501])). 3.28/0.80 tff(f501,plain,( 3.28/0.80 ~$less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~$less(0,10) | $less($sum($product(137,sK4),sK1),0) | ~spl10_3), 3.28/0.80 inference(superposition,[],[f316,f390])). 3.28/0.80 tff(f316,plain,( 3.28/0.80 ( ! [X0:$int,X1:$int] : (~$less(div2(X0,X1),0) | ~$less(0,X1) | $less(X0,0)) )), 3.28/0.80 inference(cnf_transformation,[],[f205])). 3.28/0.80 tff(f522,plain,( 3.28/0.80 spl10_13 | ~spl10_25 | ~spl10_3), 3.28/0.80 inference(avatar_split_clause,[],[f505,f389,f510,f442])). 3.28/0.80 tff(f505,plain,( 3.28/0.80 ~$less($quotient_e($sum($product(137,sK4),sK1),10),0) | $less($sum($product(137,sK4),sK1),0) | ~spl10_3), 3.28/0.80 inference(evaluation,[],[f500])). 3.28/0.80 tff(f500,plain,( 3.28/0.80 ~$less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~$less(0,10) | $less($sum($product(137,sK4),sK1),0) | ~spl10_3), 3.28/0.80 inference(superposition,[],[f315,f390])). 3.28/0.80 tff(f315,plain,( 3.28/0.80 ( ! [X0:$int,X1:$int] : (~$less(div2(X0,X1),0) | ~$less(0,X1) | $less(X0,0)) )), 3.28/0.80 inference(cnf_transformation,[],[f203])). 3.28/0.80 tff(f203,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (~$less(div2(X0,X1),0) | ~$less(0,X1) | $less(X0,0))), 3.28/0.80 inference(flattening,[],[f202])). 3.28/0.80 tff(f202,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (~$less(div2(X0,X1),0) | (~$less(0,X1) | $less(X0,0)))), 3.28/0.80 inference(ennf_transformation,[],[f142])). 3.28/0.80 tff(f142,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(X0,0)) => ~$less(div2(X0,X1),0))), 3.28/0.80 inference(rectify,[],[f88])). 3.28/0.80 tff(f88,plain,( 3.28/0.80 ! [X3 : $int,X4 : $int] : (($less(0,X4) & ~$less(X3,0)) => ~$less(div2(X3,X4),0))), 3.28/0.80 inference(theory_normalization,[],[f62])). 3.28/0.80 tff(f62,axiom,( 3.28/0.80 ! [X3 : $int,X4 : $int] : (($less(0,X4) & $lesseq(0,X3)) => $lesseq(0,div2(X3,X4)))), 3.28/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_sign_pos)). 3.28/0.80 tff(f521,plain,( 3.28/0.80 spl10_27 | ~spl10_2 | ~spl10_3), 3.28/0.80 inference(avatar_split_clause,[],[f517,f389,f385,f519])). 3.28/0.80 tff(f517,plain,( 3.28/0.80 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | (~spl10_2 | ~spl10_3)), 3.28/0.80 inference(forward_demodulation,[],[f507,f386])). 3.28/0.80 tff(f507,plain,( 3.28/0.80 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),mod2($sum($product(137,sK4),sK1),10)) | ~spl10_3), 3.28/0.80 inference(evaluation,[],[f497])). 3.28/0.80 tff(f497,plain,( 3.28/0.80 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),mod2($sum($product(137,sK4),sK1),10)) | 0 = 10 | ~spl10_3), 3.28/0.80 inference(superposition,[],[f302,f390])). 3.28/0.80 tff(f516,plain,( 3.28/0.80 ~spl10_26 | ~spl10_3), 3.28/0.80 inference(avatar_split_clause,[],[f508,f389,f514])). 3.28/0.80 tff(f508,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | ~spl10_3), 3.28/0.80 inference(evaluation,[],[f496])). 3.28/0.80 tff(f496,plain,( 3.28/0.80 ~$less(abs1($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | 0 = 10 | ~spl10_3), 3.28/0.80 inference(superposition,[],[f301,f390])). 3.28/0.80 tff(f301,plain,( 3.28/0.80 ( ! [X0:$int,X1:$int] : (~$less(abs1(X0),abs1($product(div2(X0,X1),X1))) | 0 = X1) )), 3.28/0.80 inference(cnf_transformation,[],[f183])). 3.28/0.80 tff(f183,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (~$less(abs1(X0),abs1($product(div2(X0,X1),X1))) | 0 = X1)), 3.28/0.80 inference(ennf_transformation,[],[f129])). 3.28/0.80 tff(f129,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (0 != X1 => ~$less(abs1(X0),abs1($product(div2(X0,X1),X1))))), 3.28/0.80 inference(rectify,[],[f79])). 3.28/0.80 tff(f79,plain,( 3.28/0.80 ! [X3 : $int,X4 : $int] : (0 != X4 => ~$less(abs1(X3),abs1($product(div2(X3,X4),X4))))), 3.28/0.80 inference(theory_normalization,[],[f2])). 3.28/0.80 tff(f2,axiom,( 3.28/0.80 ! [X3 : $int,X4 : $int] : (0 != X4 => $lesseq(abs1($product(div2(X3,X4),X4)),abs1(X3)))), 3.28/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rounds_toward_zero)). 3.28/0.80 tff(f512,plain,( 3.28/0.80 ~spl10_25 | ~spl10_3 | spl10_5), 3.28/0.80 inference(avatar_split_clause,[],[f494,f397,f389,f510])). 3.28/0.80 tff(f397,plain,( 3.28/0.80 spl10_5 <=> $less(div2($sum($product(137,sK4),sK1),10),0)), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_5])])). 3.28/0.80 tff(f494,plain,( 3.28/0.80 ~$less($quotient_e($sum($product(137,sK4),sK1),10),0) | (~spl10_3 | spl10_5)), 3.28/0.80 inference(backward_demodulation,[],[f398,f390])). 3.28/0.80 tff(f398,plain,( 3.28/0.80 ~$less(div2($sum($product(137,sK4),sK1),10),0) | spl10_5), 3.28/0.80 inference(avatar_component_clause,[],[f397])). 3.28/0.80 tff(f493,plain,( 3.28/0.80 spl10_24 | ~spl10_20), 3.28/0.80 inference(avatar_split_clause,[],[f489,f468,f491])). 3.28/0.80 tff(f491,plain,( 3.28/0.80 spl10_24 <=> $less(-10,$remainder_e($sum($product(137,sK4),sK1),10))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_24])])). 3.28/0.80 tff(f468,plain,( 3.28/0.80 spl10_20 <=> $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_20])])). 3.28/0.80 tff(f489,plain,( 3.28/0.80 $less(-10,$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_20), 3.28/0.80 inference(evaluation,[],[f487])). 3.28/0.80 tff(f487,plain,( 3.28/0.80 $less($uminus(10),$remainder_e($sum($product(137,sK4),sK1),10)) | $less(10,0) | ~spl10_20), 3.28/0.80 inference(superposition,[],[f469,f296])). 3.28/0.80 tff(f469,plain,( 3.28/0.80 $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_20), 3.28/0.80 inference(avatar_component_clause,[],[f468])). 3.28/0.80 tff(f486,plain,( 3.28/0.80 spl10_23 | ~spl10_19), 3.28/0.80 inference(avatar_split_clause,[],[f478,f464,f483])). 3.28/0.80 tff(f464,plain,( 3.28/0.80 spl10_19 <=> $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_19])])). 3.28/0.80 tff(f478,plain,( 3.28/0.80 $less($remainder_e($sum($product(137,sK4),sK1),10),10) | ~spl10_19), 3.28/0.80 inference(evaluation,[],[f476])). 3.28/0.80 tff(f476,plain,( 3.28/0.80 $less($remainder_e($sum($product(137,sK4),sK1),10),10) | $less(10,0) | ~spl10_19), 3.28/0.80 inference(superposition,[],[f465,f296])). 3.28/0.80 tff(f465,plain,( 3.28/0.80 $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10)) | ~spl10_19), 3.28/0.80 inference(avatar_component_clause,[],[f464])). 3.28/0.80 tff(f485,plain,( 3.28/0.80 spl10_22 | spl10_23 | ~spl10_19), 3.28/0.80 inference(avatar_split_clause,[],[f475,f464,f483,f480])). 3.28/0.80 tff(f480,plain,( 3.28/0.80 spl10_22 <=> $less(10,$uminus($remainder_e($sum($product(137,sK4),sK1),10)))), 3.28/0.80 introduced(avatar_definition,[new_symbols(naming,[spl10_22])])). 3.28/0.80 tff(f475,plain,( 3.28/0.80 $less($remainder_e($sum($product(137,sK4),sK1),10),10) | $less(10,$uminus($remainder_e($sum($product(137,sK4),sK1),10))) | ~spl10_19), 3.28/0.80 inference(resolution,[],[f465,f320])). 3.28/0.80 tff(f320,plain,( 3.28/0.80 ( ! [X0:$int,X1:$int] : (~$less(X1,abs1(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))) )), 3.28/0.80 inference(cnf_transformation,[],[f256])). 3.28/0.80 tff(f474,plain,( 3.28/0.80 spl10_21 | ~spl10_2), 3.28/0.80 inference(avatar_split_clause,[],[f436,f385,f472])). 3.28/0.80 tff(f436,plain,( 3.28/0.80 $sum($product(137,sK4),sK1) = $sum($product(10,div2($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_2), 3.28/0.80 inference(evaluation,[],[f435])). 3.28/0.80 tff(f435,plain,( 3.28/0.80 $sum($product(137,sK4),sK1) = $sum($product(10,div2($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | 0 = 10 | ~spl10_2), 3.28/0.80 inference(superposition,[],[f302,f386])). 3.28/0.80 tff(f470,plain,( 3.28/0.80 spl10_20 | ~spl10_2), 3.28/0.80 inference(avatar_split_clause,[],[f437,f385,f468])). 3.28/0.80 tff(f437,plain,( 3.28/0.80 $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_2), 3.28/0.80 inference(evaluation,[],[f434])). 3.28/0.80 tff(f434,plain,( 3.28/0.80 $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10)) | 0 = 10 | ~spl10_2), 3.28/0.80 inference(superposition,[],[f304,f386])). 3.28/0.80 tff(f304,plain,( 3.28/0.80 ( ! [X0:$int,X1:$int] : ($less($uminus(abs1(X1)),mod2(X0,X1)) | 0 = X1) )), 3.28/0.80 inference(cnf_transformation,[],[f185])). 3.28/0.80 tff(f185,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (($less($uminus(abs1(X1)),mod2(X0,X1)) & $less(mod2(X0,X1),abs1(X1))) | 0 = X1)), 3.28/0.80 inference(ennf_transformation,[],[f131])). 3.28/0.80 tff(f131,plain,( 3.28/0.80 ! [X0 : $int,X1 : $int] : (0 != X1 => ($less($uminus(abs1(X1)),mod2(X0,X1)) & $less(mod2(X0,X1),abs1(X1))))), 3.28/0.80 inference(rectify,[],[f8])). 3.28/0.81 tff(f8,axiom,( 3.28/0.81 ! [X3 : $int,X4 : $int] : (0 != X4 => ($less($uminus(abs1(X4)),mod2(X3,X4)) & $less(mod2(X3,X4),abs1(X4))))), 3.28/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_bound1)). 3.28/0.81 tff(f466,plain,( 3.28/0.81 spl10_19 | ~spl10_2), 3.28/0.81 inference(avatar_split_clause,[],[f438,f385,f464])). 3.28/0.81 tff(f438,plain,( 3.28/0.81 $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10)) | ~spl10_2), 3.28/0.81 inference(evaluation,[],[f433])). 3.28/0.81 tff(f433,plain,( 3.28/0.81 $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10)) | 0 = 10 | ~spl10_2), 3.28/0.81 inference(superposition,[],[f303,f386])). 3.28/0.81 tff(f303,plain,( 3.28/0.81 ( ! [X0:$int,X1:$int] : ($less(mod2(X0,X1),abs1(X1)) | 0 = X1) )), 3.28/0.81 inference(cnf_transformation,[],[f185])). 3.28/0.81 tff(f462,plain,( 3.28/0.81 spl10_17 | ~spl10_18 | ~spl10_2), 3.28/0.81 inference(avatar_split_clause,[],[f439,f385,f460,f457])). 3.28/0.81 tff(f457,plain,( 3.28/0.81 spl10_17 <=> $less(0,$sum($product(137,sK4),sK1))), 3.28/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_17])])). 3.28/0.81 tff(f439,plain,( 3.28/0.81 ~$less(0,$remainder_e($sum($product(137,sK4),sK1),10)) | $less(0,$sum($product(137,sK4),sK1)) | ~spl10_2), 3.28/0.81 inference(evaluation,[],[f432])). 3.28/0.81 tff(f432,plain,( 3.28/0.81 ~$less(0,$remainder_e($sum($product(137,sK4),sK1),10)) | 0 = 10 | $less(0,$sum($product(137,sK4),sK1)) | ~spl10_2), 3.28/0.81 inference(superposition,[],[f310,f386])). 3.28/0.81 tff(f310,plain,( 3.28/0.81 ( ! [X0:$int,X1:$int] : (~$less(0,mod2(X0,X1)) | 0 = X1 | $less(0,X0)) )), 3.28/0.81 inference(cnf_transformation,[],[f193])). 3.28/0.81 tff(f193,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : (~$less(0,mod2(X0,X1)) | 0 = X1 | $less(0,X0))), 3.28/0.81 inference(flattening,[],[f192])). 3.28/0.81 tff(f192,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : (~$less(0,mod2(X0,X1)) | (0 = X1 | $less(0,X0)))), 3.28/0.81 inference(ennf_transformation,[],[f137])). 3.28/0.81 tff(f137,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : ((0 != X1 & ~$less(0,X0)) => ~$less(0,mod2(X0,X1)))), 3.28/0.81 inference(rectify,[],[f83])). 3.28/0.81 tff(f83,plain,( 3.28/0.81 ! [X3 : $int,X4 : $int] : ((0 != X4 & ~$less(0,X3)) => ~$less(0,mod2(X3,X4)))), 3.28/0.81 inference(theory_normalization,[],[f71])). 3.28/0.81 tff(f71,axiom,( 3.28/0.81 ! [X3 : $int,X4 : $int] : ((0 != X4 & $lesseq(X3,0)) => $lesseq(mod2(X3,X4),0))), 3.28/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_neg)). 3.28/0.81 tff(f455,plain,( 3.28/0.81 spl10_13 | ~spl10_16 | ~spl10_2), 3.28/0.81 inference(avatar_split_clause,[],[f440,f385,f453,f442])). 3.28/0.81 tff(f440,plain,( 3.28/0.81 ~$less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($sum($product(137,sK4),sK1),0) | ~spl10_2), 3.28/0.81 inference(evaluation,[],[f431])). 3.28/0.81 tff(f431,plain,( 3.28/0.81 ~$less($remainder_e($sum($product(137,sK4),sK1),10),0) | 0 = 10 | $less($sum($product(137,sK4),sK1),0) | ~spl10_2), 3.28/0.81 inference(superposition,[],[f312,f386])). 3.28/0.81 tff(f312,plain,( 3.28/0.81 ( ! [X0:$int,X1:$int] : (~$less(mod2(X0,X1),0) | 0 = X1 | $less(X0,0)) )), 3.28/0.81 inference(cnf_transformation,[],[f197])). 3.28/0.81 tff(f197,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : (~$less(mod2(X0,X1),0) | 0 = X1 | $less(X0,0))), 3.28/0.81 inference(flattening,[],[f196])). 3.28/0.81 tff(f196,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : (~$less(mod2(X0,X1),0) | (0 = X1 | $less(X0,0)))), 3.28/0.81 inference(ennf_transformation,[],[f139])). 3.28/0.81 tff(f139,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : ((0 != X1 & ~$less(X0,0)) => ~$less(mod2(X0,X1),0))), 3.28/0.81 inference(rectify,[],[f85])). 3.28/0.81 tff(f85,plain,( 3.28/0.81 ! [X3 : $int,X4 : $int] : ((0 != X4 & ~$less(X3,0)) => ~$less(mod2(X3,X4),0))), 3.28/0.81 inference(theory_normalization,[],[f44])). 3.28/0.81 tff(f44,axiom,( 3.28/0.81 ! [X3 : $int,X4 : $int] : ((0 != X4 & $lesseq(0,X3)) => $lesseq(0,mod2(X3,X4)))), 3.28/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_pos)). 3.28/0.81 tff(f451,plain,( 3.28/0.81 spl10_13 | ~spl10_14 | spl10_15 | ~spl10_2), 3.28/0.81 inference(avatar_split_clause,[],[f430,f385,f448,f445,f442])). 3.28/0.81 tff(f445,plain,( 3.28/0.81 spl10_14 <=> $less($sum($product(137,sK4),sK1),10)), 3.28/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_14])])). 3.28/0.81 tff(f448,plain,( 3.28/0.81 spl10_15 <=> $sum($product(137,sK4),sK1) = $remainder_e($sum($product(137,sK4),sK1),10)), 3.28/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_15])])). 3.28/0.81 tff(f430,plain,( 3.28/0.81 $sum($product(137,sK4),sK1) = $remainder_e($sum($product(137,sK4),sK1),10) | ~$less($sum($product(137,sK4),sK1),10) | $less($sum($product(137,sK4),sK1),0) | ~spl10_2), 3.28/0.81 inference(superposition,[],[f314,f386])). 3.28/0.81 tff(f314,plain,( 3.28/0.81 ( ! [X0:$int,X1:$int] : (mod2(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0)) )), 3.28/0.81 inference(cnf_transformation,[],[f201])). 3.28/0.81 tff(f201,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : (mod2(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0))), 3.28/0.81 inference(flattening,[],[f200])). 3.28/0.81 tff(f200,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : (mod2(X0,X1) = X0 | (~$less(X0,X1) | $less(X0,0)))), 3.28/0.81 inference(ennf_transformation,[],[f141])). 3.28/0.81 tff(f141,plain,( 3.28/0.81 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => mod2(X0,X1) = X0)), 3.28/0.81 inference(rectify,[],[f87])). 3.28/0.81 tff(f87,plain,( 3.28/0.81 ! [X3 : $int,X4 : $int] : (($less(X3,X4) & ~$less(X3,0)) => mod2(X3,X4) = X3)), 3.28/0.81 inference(theory_normalization,[],[f35])). 3.28/0.81 tff(f35,axiom,( 3.28/0.81 ! [X3 : $int,X4 : $int] : (($less(X3,X4) & $lesseq(0,X3)) => mod2(X3,X4) = X3)), 3.28/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_inf)). 3.28/0.81 tff(f450,plain,( 3.28/0.81 spl10_13 | ~spl10_14 | spl10_15 | ~spl10_2), 3.28/0.81 inference(avatar_split_clause,[],[f429,f385,f448,f445,f442])). 3.28/0.81 tff(f429,plain,( 3.28/0.81 $sum($product(137,sK4),sK1) = $remainder_e($sum($product(137,sK4),sK1),10) | ~$less($sum($product(137,sK4),sK1),10) | $less($sum($product(137,sK4),sK1),0) | ~spl10_2), 3.28/0.81 inference(superposition,[],[f386,f314])). 3.28/0.81 tff(f427,plain,( 3.28/0.81 ~spl10_12), 3.28/0.81 inference(avatar_split_clause,[],[f267,f425])). 3.28/0.81 tff(f425,plain,( 3.28/0.81 spl10_12 <=> $less(sK0,0)), 3.28/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_12])])). 3.28/0.81 tff(f267,plain,( 3.28/0.81 ~$less(sK0,0)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f254,plain,( 3.28/0.81 ((num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(sK3)) & mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10) & div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10) & $sum(sK3,solution1(div2($sum($product(137,sK4),sK1),10),$sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4)),$sum(sK0,$uminus(1)))) = sK5) & ~$less(div2($sum($product(137,sK4),sK1),10),0) & ~$less($sum(sK0,$uminus(1)),0) & sK3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) & ~$less(9,sK4) & ~$less(sK4,0)) & ~$less(9,0) & 0 != sK0 & ~$less(sK1,0) & ~$less(sK0,0)), 3.28/0.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f180,f253,f252,f251])). 3.28/0.81 tff(f251,plain,( 3.28/0.81 ? [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int,X4 : $int] : (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) & ~$less(div2($sum($product(137,X4),X1),10),0) & ~$less($sum(X0,$uminus(1)),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 & ~$less(9,X4) & ~$less(X4,0)) & ~$less(9,0) & 0 != X0 & ~$less(X1,0) & ~$less(X0,0)) => (? [X4 : $int,X3 : $int] : (? [X5 : $int] : ($sum(X5,$uminus(X3)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(X4))),0,power1(10,sK0)) & mod2($sum($product(137,X4),sK1),10) = $remainder_e($sum($product(137,X4),sK1),10) & div2($sum($product(137,X4),sK1),10) = $quotient_e($sum($product(137,X4),sK1),10) & $sum(X3,solution1(div2($sum($product(137,X4),sK1),10),$sum($sum(mod2($sum($product(137,X4),sK1),10),sK2),$uminus(X4)),$sum(sK0,$uminus(1)))) = X5) & ~$less(div2($sum($product(137,X4),sK1),10),0) & ~$less($sum(sK0,$uminus(1)),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(X4))),0,power1(10,sK0)) = X3 & ~$less(9,X4) & ~$less(X4,0)) & ~$less(9,0) & 0 != sK0 & ~$less(sK1,0) & ~$less(sK0,0))), 3.28/0.81 introduced(choice_axiom,[])). 3.28/0.81 tff(f252,plain,( 3.28/0.81 ? [X4 : $int,X3 : $int] : (? [X5 : $int] : ($sum(X5,$uminus(X3)) != num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(X4))),0,power1(10,sK0)) & mod2($sum($product(137,X4),sK1),10) = $remainder_e($sum($product(137,X4),sK1),10) & div2($sum($product(137,X4),sK1),10) = $quotient_e($sum($product(137,X4),sK1),10) & $sum(X3,solution1(div2($sum($product(137,X4),sK1),10),$sum($sum(mod2($sum($product(137,X4),sK1),10),sK2),$uminus(X4)),$sum(sK0,$uminus(1)))) = X5) & ~$less(div2($sum($product(137,X4),sK1),10),0) & ~$less($sum(sK0,$uminus(1)),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(X4))),0,power1(10,sK0)) = X3 & ~$less(9,X4) & ~$less(X4,0)) => (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(X5,$uminus(sK3)) & mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10) & div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10) & $sum(sK3,solution1(div2($sum($product(137,sK4),sK1),10),$sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4)),$sum(sK0,$uminus(1)))) = X5) & ~$less(div2($sum($product(137,sK4),sK1),10),0) & ~$less($sum(sK0,$uminus(1)),0) & sK3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) & ~$less(9,sK4) & ~$less(sK4,0))), 3.28/0.81 introduced(choice_axiom,[])). 3.28/0.81 tff(f253,plain,( 3.28/0.81 ? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(X5,$uminus(sK3)) & mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10) & div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10) & $sum(sK3,solution1(div2($sum($product(137,sK4),sK1),10),$sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4)),$sum(sK0,$uminus(1)))) = X5) => (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(sK3)) & mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10) & div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10) & $sum(sK3,solution1(div2($sum($product(137,sK4),sK1),10),$sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4)),$sum(sK0,$uminus(1)))) = sK5)), 3.28/0.81 introduced(choice_axiom,[])). 3.28/0.81 tff(f180,plain,( 3.28/0.81 ? [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int,X4 : $int] : (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) & ~$less(div2($sum($product(137,X4),X1),10),0) & ~$less($sum(X0,$uminus(1)),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 & ~$less(9,X4) & ~$less(X4,0)) & ~$less(9,0) & 0 != X0 & ~$less(X1,0) & ~$less(X0,0))), 3.28/0.81 inference(flattening,[],[f179])). 3.28/0.81 tff(f179,plain,( 3.28/0.81 ? [X0 : $int,X1 : $int,X2 : $int] : (((? [X3 : $int,X4 : $int] : (((? [X5 : $int] : (((num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10)) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10)) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) & (~$less(div2($sum($product(137,X4),X1),10),0) & ~$less($sum(X0,$uminus(1)),0))) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3) & (~$less(9,X4) & ~$less(X4,0))) & ~$less(9,0)) & 0 != X0) & (~$less(X1,0) & ~$less(X0,0)))), 3.28/0.81 inference(ennf_transformation,[],[f111])). 3.28/0.81 tff(f111,plain,( 3.28/0.81 ~! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X1,0) & ~$less(X0,0)) => (0 != X0 => (~$less(9,0) => ! [X3 : $int,X4 : $int] : ((~$less(9,X4) & ~$less(X4,0)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 => ((~$less(div2($sum($product(137,X4),X1),10),0) & ~$less($sum(X0,$uminus(1)),0)) => ! [X5 : $int] : ($sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5 => (div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) => (mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = $sum(X5,$uminus(X3)))))))))))), 3.28/0.81 inference(rectify,[],[f75])). 3.28/0.81 tff(f75,plain,( 3.28/0.81 ~! [X7 : $int,X0 : $int,X15 : $int] : ((~$less(X0,0) & ~$less(X7,0)) => (0 != X7 => (~$less(9,0) => ! [X23 : $int,X16 : $int] : ((~$less(9,X16) & ~$less(X16,0)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)) = X23 => ((~$less(div2($sum($product(137,X16),X0),10),0) & ~$less($sum(X7,$uminus(1)),0)) => ! [X24 : $int] : ($sum(X23,solution1(div2($sum($product(137,X16),X0),10),$sum($sum(mod2($sum($product(137,X16),X0),10),X15),$uminus(X16)),$sum(X7,$uminus(1)))) = X24 => ($quotient_e($sum($product(137,X16),X0),10) = div2($sum($product(137,X16),X0),10) => ($remainder_e($sum($product(137,X16),X0),10) = mod2($sum($product(137,X16),X0),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)) = $sum(X24,$uminus(X23)))))))))))), 3.28/0.81 inference(theory_normalization,[],[f61])). 3.28/0.81 tff(f61,negated_conjecture,( 3.28/0.81 ~! [X7 : $int,X0 : $int,X15 : $int] : (($lesseq(0,X0) & $lesseq(0,X7)) => (0 != X7 => ($lesseq(0,9) => ! [X23 : $int,X16 : $int] : (($lesseq(X16,9) & $lesseq(0,X16)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)) = X23 => (($lesseq(0,div2($sum($product(137,X16),X0),10)) & $lesseq(0,$difference(X7,1))) => ! [X24 : $int] : ($sum(X23,solution1(div2($sum($product(137,X16),X0),10),$difference($sum(mod2($sum($product(137,X16),X0),10),X15),X16),$difference(X7,1))) = X24 => ($quotient_e($sum($product(137,X16),X0),10) = div2($sum($product(137,X16),X0),10) => ($remainder_e($sum($product(137,X16),X0),10) = mod2($sum($product(137,X16),X0),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)) = $difference(X24,X23))))))))))), 3.28/0.81 inference(negated_conjecture,[],[f60])). 3.28/0.81 tff(f60,conjecture,( 3.28/0.81 ! [X7 : $int,X0 : $int,X15 : $int] : (($lesseq(0,X0) & $lesseq(0,X7)) => (0 != X7 => ($lesseq(0,9) => ! [X23 : $int,X16 : $int] : (($lesseq(X16,9) & $lesseq(0,X16)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)) = X23 => (($lesseq(0,div2($sum($product(137,X16),X0),10)) & $lesseq(0,$difference(X7,1))) => ! [X24 : $int] : ($sum(X23,solution1(div2($sum($product(137,X16),X0),10),$difference($sum(mod2($sum($product(137,X16),X0),10),X15),X16),$difference(X7,1))) = X24 => ($quotient_e($sum($product(137,X16),X0),10) = div2($sum($product(137,X16),X0),10) => ($remainder_e($sum($product(137,X16),X0),10) = mod2($sum($product(137,X16),X0),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X15),t2tb1(X16))),0,power1(10,X7)) = $difference(X24,X23))))))))))), 3.28/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_f)). 3.28/0.81 tff(f423,plain,( 3.28/0.81 ~spl10_11), 3.28/0.81 inference(avatar_split_clause,[],[f268,f421])). 3.28/0.81 tff(f268,plain,( 3.28/0.81 ~$less(sK1,0)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f419,plain,( 3.28/0.81 ~spl10_10), 3.28/0.81 inference(avatar_split_clause,[],[f269,f417])). 3.28/0.81 tff(f417,plain,( 3.28/0.81 spl10_10 <=> 0 = sK0), 3.28/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_10])])). 3.28/0.81 tff(f269,plain,( 3.28/0.81 0 != sK0), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f415,plain,( 3.28/0.81 ~spl10_9), 3.28/0.81 inference(avatar_split_clause,[],[f271,f413])). 3.28/0.81 tff(f271,plain,( 3.28/0.81 ~$less(sK4,0)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f411,plain,( 3.28/0.81 ~spl10_8), 3.28/0.81 inference(avatar_split_clause,[],[f272,f409])). 3.28/0.81 tff(f409,plain,( 3.28/0.81 spl10_8 <=> $less(9,sK4)), 3.28/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_8])])). 3.28/0.81 tff(f272,plain,( 3.28/0.81 ~$less(9,sK4)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f407,plain,( 3.28/0.81 spl10_7), 3.28/0.81 inference(avatar_split_clause,[],[f273,f405])). 3.28/0.81 tff(f273,plain,( 3.28/0.81 sK3 = num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f403,plain,( 3.28/0.81 ~spl10_6), 3.28/0.81 inference(avatar_split_clause,[],[f378,f401])). 3.28/0.81 tff(f401,plain,( 3.28/0.81 spl10_6 <=> $less($sum(sK0,-1),0)), 3.28/0.81 introduced(avatar_definition,[new_symbols(naming,[spl10_6])])). 3.28/0.81 tff(f378,plain,( 3.28/0.81 ~$less($sum(sK0,-1),0)), 3.28/0.81 inference(evaluation,[],[f274])). 3.28/0.81 tff(f274,plain,( 3.28/0.81 ~$less($sum(sK0,$uminus(1)),0)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f399,plain,( 3.28/0.81 ~spl10_5), 3.28/0.81 inference(avatar_split_clause,[],[f275,f397])). 3.28/0.81 tff(f275,plain,( 3.28/0.81 ~$less(div2($sum($product(137,sK4),sK1),10),0)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f395,plain,( 3.28/0.81 spl10_4), 3.28/0.81 inference(avatar_split_clause,[],[f379,f393])). 3.28/0.81 tff(f379,plain,( 3.28/0.81 sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1))))), 3.28/0.81 inference(evaluation,[],[f372])). 3.28/0.81 tff(f372,plain,( 3.28/0.81 sK5 = $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,$uminus(1)))))), 3.28/0.81 inference(definition_unfolding,[],[f276,f321])). 3.28/0.81 tff(f276,plain,( 3.28/0.81 $sum(sK3,solution1(div2($sum($product(137,sK4),sK1),10),$sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4)),$sum(sK0,$uminus(1)))) = sK5), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f391,plain,( 3.28/0.81 spl10_3), 3.28/0.81 inference(avatar_split_clause,[],[f277,f389])). 3.28/0.81 tff(f277,plain,( 3.28/0.81 div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f387,plain,( 3.28/0.81 spl10_2), 3.28/0.81 inference(avatar_split_clause,[],[f278,f385])). 3.28/0.81 tff(f278,plain,( 3.28/0.81 mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10)), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 tff(f383,plain,( 3.28/0.81 ~spl10_1), 3.28/0.81 inference(avatar_split_clause,[],[f279,f381])). 3.28/0.81 tff(f279,plain,( 3.28/0.81 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(sK3))), 3.28/0.81 inference(cnf_transformation,[],[f254])). 3.28/0.81 % SZS output end Proof for theBenchmark 3.28/0.81 % (6265)------------------------------ 3.28/0.81 % (6265)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.28/0.81 % (6265)Termination reason: Refutation 3.28/0.81 3.28/0.81 % (6265)Memory used [KB]: 6780 3.28/0.81 % (6265)Time elapsed: 0.368 s 3.28/0.81 % (6265)------------------------------ 3.28/0.81 % (6265)------------------------------ 3.28/0.81 % (6238)Success in time 0.434 s 3.28/0.81 EOF