0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.34 % Computer : n024.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 02:46:37 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 This is a TFF_ problem 0.13/0.35 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.36 % (31965)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (31970)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.21/0.42 % (31973)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.21/0.42 % (31974)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.21/0.42 % (31969)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.21/0.42 % (31975)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=on:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.21/0.43 % (31972)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.21/0.43 % (31976)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.21/0.43 % (31971)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=on:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 2.16/0.68 % (31969)First to succeed. 2.77/0.70 % (31969)Refutation found. Thanks to Tanya! 2.77/0.70 % SZS status Theorem for theBenchmark 2.77/0.70 % SZS output start Proof for theBenchmark 2.77/0.70 tff(type_def_5, type, uni: $tType). 2.77/0.70 tff(type_def_6, type, ty: $tType). 2.77/0.70 tff(type_def_7, type, bool1: $tType). 2.77/0.70 tff(type_def_8, type, tuple02: $tType). 2.77/0.70 tff(type_def_9, type, map_int_int: $tType). 2.77/0.70 tff(type_def_10, type, array_int: $tType). 2.77/0.70 tff(func_def_0, type, witness1: (ty) > uni). 2.77/0.70 tff(func_def_1, type, int: ty). 2.77/0.70 tff(func_def_2, type, real: ty). 2.77/0.70 tff(func_def_3, type, bool: ty). 2.77/0.70 tff(func_def_4, type, true1: bool1). 2.77/0.70 tff(func_def_5, type, false1: bool1). 2.77/0.70 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 2.77/0.70 tff(func_def_7, type, tuple0: ty). 2.77/0.70 tff(func_def_8, type, tuple03: tuple02). 2.77/0.70 tff(func_def_9, type, qtmark: ty). 2.77/0.70 tff(func_def_10, type, ref: (ty) > ty). 2.77/0.70 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 2.77/0.70 tff(func_def_12, type, contents: (ty * uni) > uni). 2.77/0.70 tff(func_def_13, type, map: (ty * ty) > ty). 2.77/0.70 tff(func_def_14, type, get: (ty * ty * uni * uni) > uni). 2.77/0.70 tff(func_def_15, type, get3: (map_int_int * $int) > $int). 2.77/0.70 tff(func_def_16, type, set: (ty * ty * uni * uni * uni) > uni). 2.77/0.70 tff(func_def_17, type, t2tb: (map_int_int) > uni). 2.77/0.70 tff(func_def_18, type, tb2t: (uni) > map_int_int). 2.77/0.70 tff(func_def_19, type, t2tb1: ($int) > uni). 2.77/0.70 tff(func_def_20, type, tb2t1: (uni) > $int). 2.77/0.70 tff(func_def_21, type, const: (ty * ty * uni) > uni). 2.77/0.70 tff(func_def_22, type, array: (ty) > ty). 2.77/0.70 tff(func_def_23, type, mk_array2: (ty * $int * uni) > uni). 2.77/0.70 tff(func_def_24, type, mk_array3: ($int * map_int_int) > array_int). 2.77/0.70 tff(func_def_25, type, length1: (ty * uni) > $int). 2.77/0.70 tff(func_def_26, type, t2tb2: (array_int) > uni). 2.77/0.70 tff(func_def_27, type, tb2t2: (uni) > array_int). 2.77/0.70 tff(func_def_28, type, elts: (ty * uni) > uni). 2.77/0.70 tff(func_def_29, type, get4: (ty * uni * $int) > uni). 2.77/0.70 tff(func_def_30, type, set2: (ty * uni * $int * uni) > uni). 2.77/0.70 tff(func_def_31, type, make1: (ty * $int * uni) > uni). 2.77/0.70 tff(func_def_32, type, occ1: (ty * uni * uni * $int * $int) > $int). 2.77/0.70 tff(func_def_40, type, sK0: $int). 2.77/0.70 tff(func_def_41, type, sK1: map_int_int). 2.77/0.70 tff(func_def_42, type, sK2: $int). 2.77/0.70 tff(func_def_43, type, sK3: $int). 2.77/0.70 tff(func_def_44, type, sK4: $int). 2.77/0.70 tff(func_def_45, type, sK5: $int). 2.77/0.70 tff(func_def_46, type, sK6: $int). 2.77/0.70 tff(func_def_47, type, sK7: map_int_int). 2.77/0.70 tff(func_def_48, type, sK8: map_int_int). 2.77/0.70 tff(func_def_49, type, sK9: $int). 2.77/0.70 tff(func_def_50, type, sK10: ($int) > $int). 2.77/0.70 tff(func_def_51, type, sK11: ($int * map_int_int * $int * $int) > $int). 2.77/0.70 tff(func_def_52, type, sK12: ($int * map_int_int * $int * $int) > $int). 2.77/0.70 tff(func_def_53, type, sK13: (map_int_int * map_int_int * $int * $int) > $int). 2.77/0.70 tff(func_def_54, type, sK14: (ty * uni * uni * $int * $int) > uni). 2.77/0.70 tff(func_def_55, type, sK15: (ty * uni * uni * $int * $int) > $int). 2.77/0.70 tff(func_def_56, type, sK16: (ty * uni * uni * $int * $int) > $int). 2.77/0.70 tff(func_def_57, type, sK17: (map_int_int * map_int_int * $int * $int * $int) > $int). 2.77/0.70 tff(func_def_58, type, sK18: (map_int_int * map_int_int * $int * $int) > $int). 2.77/0.70 tff(func_def_59, type, sK19: (ty * uni * uni * $int * $int) > $int). 2.77/0.70 tff(func_def_60, type, sK20: (ty * uni * uni * $int * $int * $int) > $int). 2.77/0.70 tff(func_def_61, type, sK21: (ty * uni * uni * $int * $int) > $int). 2.77/0.70 tff(func_def_62, type, sK22: (map_int_int * map_int_int * $int * $int * $int * $int) > $int). 2.77/0.70 tff(func_def_63, type, sK23: (ty * uni * uni * $int * $int * $int * $int) > $int). 2.77/0.70 tff(pred_def_1, type, sort1: (ty * uni) > $o). 2.77/0.70 tff(pred_def_2, type, permut2: (ty * uni * uni * $int * $int) > $o). 2.77/0.70 tff(pred_def_3, type, map_eq_sub1: (ty * uni * uni * $int * $int) > $o). 2.77/0.70 tff(pred_def_4, type, array_eq_sub1: (ty * uni * uni * $int * $int) > $o). 2.77/0.70 tff(pred_def_5, type, array_eq: (ty * uni * uni) > $o). 2.77/0.70 tff(pred_def_6, type, exchange2: (ty * uni * uni * $int * $int * $int * $int) > $o). 2.77/0.70 tff(pred_def_7, type, exchange3: (ty * uni * uni * $int * $int) > $o). 2.77/0.70 tff(pred_def_8, type, permut3: (ty * uni * uni * $int * $int) > $o). 2.77/0.70 tff(pred_def_9, type, permut_sub2: (ty * uni * uni * $int * $int) > $o). 2.77/0.70 tff(pred_def_10, type, permut_sub3: (array_int * array_int * $int * $int) > $o). 2.77/0.70 tff(pred_def_11, type, permut_all: (ty * uni * uni) > $o). 2.77/0.70 tff(f3622,plain,( 2.77/0.70 $false), 2.77/0.70 inference(avatar_smt_refutation,[],[f550,f554,f558,f563,f567,f573,f578,f582,f586,f590,f594,f598,f599,f604,f608,f612,f616,f617,f618,f622,f626,f627,f628,f629,f633,f634,f635,f639,f648,f658,f677,f682,f687,f703,f713,f718,f724,f736,f746,f751,f754,f759,f776,f786,f806,f812,f818,f827,f855,f865,f939,f946,f953,f960,f967,f974,f981,f988,f989,f990,f991,f992,f993,f994,f995,f996,f998,f1094,f1129,f1162,f1208,f1212,f1224,f1228,f1276,f1362,f1366,f1370,f1374,f1378,f1382,f1386,f1390,f1405,f1411,f1517,f1527,f1531,f1993,f2020,f2024,f2028,f2032,f2036,f2040,f2081,f2112,f2288,f2307,f2318,f2791,f2792,f3424,f3440,f3447,f3457,f3464,f3485,f3493,f3495,f3500,f3519,f3526,f3531,f3539,f3543,f3547,f3551,f3563,f3565,f3567,f3569,f3571,f3573,f3607,f3611,f3615])). 2.77/0.70 tff(f3615,plain,( 2.77/0.70 spl24_135 | ~spl24_46 | ~spl24_66), 2.77/0.70 inference(avatar_split_clause,[],[f3599,f965,f781,f3613])). 2.77/0.70 tff(f3613,plain,( 2.77/0.70 spl24_135 <=> $less(sK10(sK5),sK4)), 2.77/0.70 introduced(avatar_definition,[new_symbols(naming,[spl24_135])])). 2.77/0.70 tff(f781,plain,( 2.77/0.70 spl24_46 <=> $less(sK10(sK5),sK2)), 2.77/0.70 introduced(avatar_definition,[new_symbols(naming,[spl24_46])])). 2.77/0.70 tff(f965,plain,( 2.77/0.70 spl24_66 <=> $less(sK2,sK4)), 2.77/0.70 introduced(avatar_definition,[new_symbols(naming,[spl24_66])])). 2.77/0.70 tff(f3599,plain,( 2.77/0.70 $less(sK10(sK5),sK4) | (~spl24_46 | ~spl24_66)), 2.77/0.70 inference(resolution,[],[f782,f1003])). 2.77/0.70 tff(f1003,plain,( 2.77/0.70 ( ! [X0 : $int] : (~$less(X0,sK2) | $less(X0,sK4)) ) | ~spl24_66), 2.77/0.70 inference(resolution,[],[f966,f124])). 2.77/0.70 tff(f124,plain,( 2.77/0.70 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )), 2.77/0.70 introduced(theory_axiom_147,[])). 2.77/0.70 tff(f966,plain,( 2.77/0.70 $less(sK2,sK4) | ~spl24_66), 2.77/0.70 inference(avatar_component_clause,[],[f965])). 2.77/0.70 tff(f782,plain,( 2.77/0.70 $less(sK10(sK5),sK2) | ~spl24_46), 2.77/0.70 inference(avatar_component_clause,[],[f781])). 2.77/0.70 tff(f3611,plain,( 2.77/0.70 spl24_134 | ~spl24_46 | ~spl24_68), 2.77/0.70 inference(avatar_split_clause,[],[f3598,f972,f781,f3609])). 2.77/0.70 tff(f3609,plain,( 2.77/0.70 spl24_134 <=> $less(sK10(sK5),sK5)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_134])])). 2.77/0.71 tff(f972,plain,( 2.77/0.71 spl24_68 <=> $less(sK2,sK5)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_68])])). 2.77/0.71 tff(f3598,plain,( 2.77/0.71 $less(sK10(sK5),sK5) | (~spl24_46 | ~spl24_68)), 2.77/0.71 inference(resolution,[],[f782,f1004])). 2.77/0.71 tff(f1004,plain,( 2.77/0.71 ( ! [X0 : $int] : (~$less(X0,sK2) | $less(X0,sK5)) ) | ~spl24_68), 2.77/0.71 inference(resolution,[],[f973,f124])). 2.77/0.71 tff(f973,plain,( 2.77/0.71 $less(sK2,sK5) | ~spl24_68), 2.77/0.71 inference(avatar_component_clause,[],[f972])). 2.77/0.71 tff(f3607,plain,( 2.77/0.71 spl24_48 | ~spl24_46), 2.77/0.71 inference(avatar_split_clause,[],[f3606,f781,f804])). 2.77/0.71 tff(f804,plain,( 2.77/0.71 spl24_48 <=> $less(sK5,sK5)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_48])])). 2.77/0.71 tff(f3606,plain,( 2.77/0.71 $less(sK5,sK5) | ~spl24_46), 2.77/0.71 inference(global_subsumption,[],[f351,f3594])). 2.77/0.71 tff(f3594,plain,( 2.77/0.71 $less(sK5,sK2) | $less(sK5,sK5) | ~spl24_46), 2.77/0.71 inference(resolution,[],[f782,f369])). 2.77/0.71 tff(f369,plain,( 2.77/0.71 ( ! [X11 : $int] : (~$less(sK10(X11),sK2) | $less(X11,sK2) | $less(sK5,X11)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f290,plain,( 2.77/0.71 (((($less(get3(sK8,sK9),get3(sK8,$sum(sK6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,sK6) | $less(sK3,X10) | get3(sK8,X10) != get3(sK8,sK9))) & ~$less(sK9,sK6) & ~$less(sK3,sK9)) & permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(sK3,1)) & $less(sK4,sK6) & ! [X11 : $int] : ((~$less(get3(sK8,$sum(sK5,1)),get3(sK8,X11)) & (get3(sK8,X11) = get3(sK7,sK10(X11)) & ~$less(sK5,sK10(X11)) & ~$less(sK10(X11),sK2))) | $less(X11,sK2) | $less(sK5,X11)) & ! [X13 : $int] : (get3(sK7,X13) = get3(sK8,X13) | ~$less(sK5,X13) | $less(sK3,X13)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK3,1)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK5,1)) & ! [X14 : $int] : (~$less(get3(sK8,X14),get3(sK8,sK4)) | $less(X14,sK4) | $less(sK5,X14)) & ! [X15 : $int] : (~$less(get3(sK8,sK4),get3(sK8,X15)) | $less(sK4,X15) | $less(X15,sK2)) & ~$less(sK0,0)) & ~$less(sK5,sK4) & $less(sK5,sK0) & ~$less(sK4,sK2) & ~$less(sK2,0) & ~$less(sK5,sK4) & permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(sK3,1)) & ! [X16 : $int] : (~$less(get3(sK7,X16),42) | $less(X16,sK6) | $less(sK3,X16)) & ! [X17 : $int] : (42 = get3(sK7,X17) | ~$less(sK5,X17) | ~$less(X17,sK6)) & ! [X18 : $int] : (~$less(42,get3(sK7,X18)) | $less(X18,sK2) | $less(sK5,X18)) & ~$less(sK3,sK6) & $less(sK5,sK6) & ~$less(sK5,sK2) & ~$less(sK0,0)) & ~$less(sK2,0) & $less(sK2,sK3) & $less(sK3,sK0) & $less(sK2,sK3) & ~$less(sK0,0) & ~$less(sK2,0) & ~$less(sK3,sK4) & $less(sK3,sK0) & ~$less(sK4,sK2)), 2.77/0.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f284,f289,f288,f287,f286,f285])). 2.77/0.71 tff(f285,plain,( 2.77/0.71 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int,X4 : $int] : (? [X5 : $int,X6 : $int,X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : $int] : (($less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,X6) | $less(X3,X10) | get3(X8,X9) != get3(X8,X10))) & ~$less(X9,X6) & ~$less(X3,X9)) & permut_sub3(mk_array3(X0,X8),mk_array3(X0,X8),X2,$sum(X3,1)) & $less(X4,X6) & ! [X11 : $int] : ((~$less(get3(X8,$sum(X5,1)),get3(X8,X11)) & ? [X12 : $int] : (get3(X8,X11) = get3(X7,X12) & ~$less(X5,X12) & ~$less(X12,X2))) | $less(X11,X2) | $less(X5,X11)) & ! [X13 : $int] : (get3(X8,X13) = get3(X7,X13) | ~$less(X5,X13) | $less(X3,X13)) & permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X3,1)) & permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X5,1)) & ! [X14 : $int] : (~$less(get3(X8,X14),get3(X8,X4)) | $less(X14,X4) | $less(X5,X14)) & ! [X15 : $int] : (~$less(get3(X8,X4),get3(X8,X15)) | $less(X4,X15) | $less(X15,X2)) & ~$less(X0,0)) & ~$less(X5,X4) & $less(X5,X0) & ~$less(X4,X2) & ~$less(X2,0) & ~$less(X5,X4) & permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1)) & ! [X16 : $int] : (~$less(get3(X7,X16),42) | $less(X16,X6) | $less(X3,X16)) & ! [X17 : $int] : (42 = get3(X7,X17) | ~$less(X5,X17) | ~$less(X17,X6)) & ! [X18 : $int] : (~$less(42,get3(X7,X18)) | $less(X18,X2) | $less(X5,X18)) & ~$less(X3,X6) & $less(X5,X6) & ~$less(X5,X2) & ~$less(X0,0)) & ~$less(X2,0) & $less(X2,X3) & $less(X3,X0) & $less(X2,X3) & ~$less(X0,0) & ~$less(X2,0) & ~$less(X3,X4) & $less(X3,X0) & ~$less(X4,X2)) => (? [X7 : map_int_int,X6 : $int,X5 : $int] : (? [X8 : map_int_int] : (? [X9 : $int] : (($less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,X6) | $less(sK3,X10) | get3(X8,X9) != get3(X8,X10))) & ~$less(X9,X6) & ~$less(sK3,X9)) & permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & $less(sK4,X6) & ! [X11 : $int] : ((~$less(get3(X8,$sum(X5,1)),get3(X8,X11)) & ? [X12 : $int] : (get3(X8,X11) = get3(X7,X12) & ~$less(X5,X12) & ~$less(X12,sK2))) | $less(X11,sK2) | $less(X5,X11)) & ! [X13 : $int] : (get3(X8,X13) = get3(X7,X13) | ~$less(X5,X13) | $less(sK3,X13)) & permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(X5,1)) & ! [X14 : $int] : (~$less(get3(X8,X14),get3(X8,sK4)) | $less(X14,sK4) | $less(X5,X14)) & ! [X15 : $int] : (~$less(get3(X8,sK4),get3(X8,X15)) | $less(sK4,X15) | $less(X15,sK2)) & ~$less(sK0,0)) & ~$less(X5,sK4) & $less(X5,sK0) & ~$less(sK4,sK2) & ~$less(sK2,0) & ~$less(X5,sK4) & permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,X7),sK2,$sum(sK3,1)) & ! [X16 : $int] : (~$less(get3(X7,X16),42) | $less(X16,X6) | $less(sK3,X16)) & ! [X17 : $int] : (42 = get3(X7,X17) | ~$less(X5,X17) | ~$less(X17,X6)) & ! [X18 : $int] : (~$less(42,get3(X7,X18)) | $less(X18,sK2) | $less(X5,X18)) & ~$less(sK3,X6) & $less(X5,X6) & ~$less(X5,sK2) & ~$less(sK0,0)) & ~$less(sK2,0) & $less(sK2,sK3) & $less(sK3,sK0) & $less(sK2,sK3) & ~$less(sK0,0) & ~$less(sK2,0) & ~$less(sK3,sK4) & $less(sK3,sK0) & ~$less(sK4,sK2))), 2.77/0.71 introduced(choice_axiom,[])). 2.77/0.71 tff(f286,plain,( 2.77/0.71 ? [X7 : map_int_int,X6 : $int,X5 : $int] : (? [X8 : map_int_int] : (? [X9 : $int] : (($less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,X6) | $less(sK3,X10) | get3(X8,X9) != get3(X8,X10))) & ~$less(X9,X6) & ~$less(sK3,X9)) & permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & $less(sK4,X6) & ! [X11 : $int] : ((~$less(get3(X8,$sum(X5,1)),get3(X8,X11)) & ? [X12 : $int] : (get3(X8,X11) = get3(X7,X12) & ~$less(X5,X12) & ~$less(X12,sK2))) | $less(X11,sK2) | $less(X5,X11)) & ! [X13 : $int] : (get3(X8,X13) = get3(X7,X13) | ~$less(X5,X13) | $less(sK3,X13)) & permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & permut_sub3(mk_array3(sK0,X7),mk_array3(sK0,X8),sK2,$sum(X5,1)) & ! [X14 : $int] : (~$less(get3(X8,X14),get3(X8,sK4)) | $less(X14,sK4) | $less(X5,X14)) & ! [X15 : $int] : (~$less(get3(X8,sK4),get3(X8,X15)) | $less(sK4,X15) | $less(X15,sK2)) & ~$less(sK0,0)) & ~$less(X5,sK4) & $less(X5,sK0) & ~$less(sK4,sK2) & ~$less(sK2,0) & ~$less(X5,sK4) & permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,X7),sK2,$sum(sK3,1)) & ! [X16 : $int] : (~$less(get3(X7,X16),42) | $less(X16,X6) | $less(sK3,X16)) & ! [X17 : $int] : (42 = get3(X7,X17) | ~$less(X5,X17) | ~$less(X17,X6)) & ! [X18 : $int] : (~$less(42,get3(X7,X18)) | $less(X18,sK2) | $less(X5,X18)) & ~$less(sK3,X6) & $less(X5,X6) & ~$less(X5,sK2) & ~$less(sK0,0)) => (? [X8 : map_int_int] : (? [X9 : $int] : (($less(get3(X8,X9),get3(X8,$sum(sK6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,sK6) | $less(sK3,X10) | get3(X8,X9) != get3(X8,X10))) & ~$less(X9,sK6) & ~$less(sK3,X9)) & permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & $less(sK4,sK6) & ! [X11 : $int] : ((~$less(get3(X8,$sum(sK5,1)),get3(X8,X11)) & ? [X12 : $int] : (get3(X8,X11) = get3(sK7,X12) & ~$less(sK5,X12) & ~$less(X12,sK2))) | $less(X11,sK2) | $less(sK5,X11)) & ! [X13 : $int] : (get3(X8,X13) = get3(sK7,X13) | ~$less(sK5,X13) | $less(sK3,X13)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK5,1)) & ! [X14 : $int] : (~$less(get3(X8,X14),get3(X8,sK4)) | $less(X14,sK4) | $less(sK5,X14)) & ! [X15 : $int] : (~$less(get3(X8,sK4),get3(X8,X15)) | $less(sK4,X15) | $less(X15,sK2)) & ~$less(sK0,0)) & ~$less(sK5,sK4) & $less(sK5,sK0) & ~$less(sK4,sK2) & ~$less(sK2,0) & ~$less(sK5,sK4) & permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(sK3,1)) & ! [X16 : $int] : (~$less(get3(sK7,X16),42) | $less(X16,sK6) | $less(sK3,X16)) & ! [X17 : $int] : (42 = get3(sK7,X17) | ~$less(sK5,X17) | ~$less(X17,sK6)) & ! [X18 : $int] : (~$less(42,get3(sK7,X18)) | $less(X18,sK2) | $less(sK5,X18)) & ~$less(sK3,sK6) & $less(sK5,sK6) & ~$less(sK5,sK2) & ~$less(sK0,0))), 2.77/0.71 introduced(choice_axiom,[])). 2.77/0.71 tff(f287,plain,( 2.77/0.71 ? [X8 : map_int_int] : (? [X9 : $int] : (($less(get3(X8,X9),get3(X8,$sum(sK6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,sK6) | $less(sK3,X10) | get3(X8,X9) != get3(X8,X10))) & ~$less(X9,sK6) & ~$less(sK3,X9)) & permut_sub3(mk_array3(sK0,X8),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & $less(sK4,sK6) & ! [X11 : $int] : ((~$less(get3(X8,$sum(sK5,1)),get3(X8,X11)) & ? [X12 : $int] : (get3(X8,X11) = get3(sK7,X12) & ~$less(sK5,X12) & ~$less(X12,sK2))) | $less(X11,sK2) | $less(sK5,X11)) & ! [X13 : $int] : (get3(X8,X13) = get3(sK7,X13) | ~$less(sK5,X13) | $less(sK3,X13)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK3,1)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,X8),sK2,$sum(sK5,1)) & ! [X14 : $int] : (~$less(get3(X8,X14),get3(X8,sK4)) | $less(X14,sK4) | $less(sK5,X14)) & ! [X15 : $int] : (~$less(get3(X8,sK4),get3(X8,X15)) | $less(sK4,X15) | $less(X15,sK2)) & ~$less(sK0,0)) => (? [X9 : $int] : (($less(get3(sK8,X9),get3(sK8,$sum(sK6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,sK6) | $less(sK3,X10) | get3(sK8,X9) != get3(sK8,X10))) & ~$less(X9,sK6) & ~$less(sK3,X9)) & permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(sK3,1)) & $less(sK4,sK6) & ! [X11 : $int] : ((~$less(get3(sK8,$sum(sK5,1)),get3(sK8,X11)) & ? [X12 : $int] : (get3(sK7,X12) = get3(sK8,X11) & ~$less(sK5,X12) & ~$less(X12,sK2))) | $less(X11,sK2) | $less(sK5,X11)) & ! [X13 : $int] : (get3(sK7,X13) = get3(sK8,X13) | ~$less(sK5,X13) | $less(sK3,X13)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK3,1)) & permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK5,1)) & ! [X14 : $int] : (~$less(get3(sK8,X14),get3(sK8,sK4)) | $less(X14,sK4) | $less(sK5,X14)) & ! [X15 : $int] : (~$less(get3(sK8,sK4),get3(sK8,X15)) | $less(sK4,X15) | $less(X15,sK2)) & ~$less(sK0,0))), 2.77/0.71 introduced(choice_axiom,[])). 2.77/0.71 tff(f288,plain,( 2.77/0.71 ? [X9 : $int] : (($less(get3(sK8,X9),get3(sK8,$sum(sK6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,sK6) | $less(sK3,X10) | get3(sK8,X9) != get3(sK8,X10))) & ~$less(X9,sK6) & ~$less(sK3,X9)) => (($less(get3(sK8,sK9),get3(sK8,$sum(sK6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,sK6) | $less(sK3,X10) | get3(sK8,X10) != get3(sK8,sK9))) & ~$less(sK9,sK6) & ~$less(sK3,sK9))), 2.77/0.71 introduced(choice_axiom,[])). 2.77/0.71 tff(f289,plain,( 2.77/0.71 ! [X11 : $int] : (? [X12 : $int] : (get3(sK7,X12) = get3(sK8,X11) & ~$less(sK5,X12) & ~$less(X12,sK2)) => (get3(sK8,X11) = get3(sK7,sK10(X11)) & ~$less(sK5,sK10(X11)) & ~$less(sK10(X11),sK2)))), 2.77/0.71 introduced(choice_axiom,[])). 2.77/0.71 tff(f284,plain,( 2.77/0.71 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int,X4 : $int] : (? [X5 : $int,X6 : $int,X7 : map_int_int] : (? [X8 : map_int_int] : (? [X9 : $int] : (($less(get3(X8,X9),get3(X8,$sum(X6,$uminus(1)))) | ! [X10 : $int] : ($less(X10,X6) | $less(X3,X10) | get3(X8,X9) != get3(X8,X10))) & ~$less(X9,X6) & ~$less(X3,X9)) & permut_sub3(mk_array3(X0,X8),mk_array3(X0,X8),X2,$sum(X3,1)) & $less(X4,X6) & ! [X11 : $int] : ((~$less(get3(X8,$sum(X5,1)),get3(X8,X11)) & ? [X12 : $int] : (get3(X8,X11) = get3(X7,X12) & ~$less(X5,X12) & ~$less(X12,X2))) | $less(X11,X2) | $less(X5,X11)) & ! [X13 : $int] : (get3(X8,X13) = get3(X7,X13) | ~$less(X5,X13) | $less(X3,X13)) & permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X3,1)) & permut_sub3(mk_array3(X0,X7),mk_array3(X0,X8),X2,$sum(X5,1)) & ! [X14 : $int] : (~$less(get3(X8,X14),get3(X8,X4)) | $less(X14,X4) | $less(X5,X14)) & ! [X15 : $int] : (~$less(get3(X8,X4),get3(X8,X15)) | $less(X4,X15) | $less(X15,X2)) & ~$less(X0,0)) & ~$less(X5,X4) & $less(X5,X0) & ~$less(X4,X2) & ~$less(X2,0) & ~$less(X5,X4) & permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1)) & ! [X16 : $int] : (~$less(get3(X7,X16),42) | $less(X16,X6) | $less(X3,X16)) & ! [X17 : $int] : (42 = get3(X7,X17) | ~$less(X5,X17) | ~$less(X17,X6)) & ! [X18 : $int] : (~$less(42,get3(X7,X18)) | $less(X18,X2) | $less(X5,X18)) & ~$less(X3,X6) & $less(X5,X6) & ~$less(X5,X2) & ~$less(X0,0)) & ~$less(X2,0) & $less(X2,X3) & $less(X3,X0) & $less(X2,X3) & ~$less(X0,0) & ~$less(X2,0) & ~$less(X3,X4) & $less(X3,X0) & ~$less(X4,X2))), 2.77/0.71 inference(rectify,[],[f214])). 2.77/0.71 tff(f214,plain,( 2.77/0.71 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int,X4 : $int] : (? [X5 : $int,X6 : $int,X7 : map_int_int] : (? [X11 : map_int_int] : (? [X17 : $int] : (($less(get3(X11,X17),get3(X11,$sum(X6,$uminus(1)))) | ! [X18 : $int] : ($less(X18,X6) | $less(X3,X18) | get3(X11,X17) != get3(X11,X18))) & ~$less(X17,X6) & ~$less(X3,X17)) & permut_sub3(mk_array3(X0,X11),mk_array3(X0,X11),X2,$sum(X3,1)) & $less(X4,X6) & ! [X15 : $int] : ((~$less(get3(X11,$sum(X5,1)),get3(X11,X15)) & ? [X16 : $int] : (get3(X11,X15) = get3(X7,X16) & ~$less(X5,X16) & ~$less(X16,X2))) | $less(X15,X2) | $less(X5,X15)) & ! [X14 : $int] : (get3(X11,X14) = get3(X7,X14) | ~$less(X5,X14) | $less(X3,X14)) & permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X3,1)) & permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X5,1)) & ! [X12 : $int] : (~$less(get3(X11,X12),get3(X11,X4)) | $less(X12,X4) | $less(X5,X12)) & ! [X13 : $int] : (~$less(get3(X11,X4),get3(X11,X13)) | $less(X4,X13) | $less(X13,X2)) & ~$less(X0,0)) & ~$less(X5,X4) & $less(X5,X0) & ~$less(X4,X2) & ~$less(X2,0) & ~$less(X5,X4) & permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1)) & ! [X8 : $int] : (~$less(get3(X7,X8),42) | $less(X8,X6) | $less(X3,X8)) & ! [X9 : $int] : (42 = get3(X7,X9) | ~$less(X5,X9) | ~$less(X9,X6)) & ! [X10 : $int] : (~$less(42,get3(X7,X10)) | $less(X10,X2) | $less(X5,X10)) & ~$less(X3,X6) & $less(X5,X6) & ~$less(X5,X2) & ~$less(X0,0)) & ~$less(X2,0) & $less(X2,X3) & $less(X3,X0) & $less(X2,X3) & ~$less(X0,0) & ~$less(X2,0) & ~$less(X3,X4) & $less(X3,X0) & ~$less(X4,X2))), 2.77/0.71 inference(flattening,[],[f213])). 2.77/0.71 tff(f213,plain,( 2.77/0.71 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int,X4 : $int] : (((? [X5 : $int,X6 : $int,X7 : map_int_int] : (((? [X11 : map_int_int] : ((((((? [X17 : $int] : (($less(get3(X11,X17),get3(X11,$sum(X6,$uminus(1)))) | ! [X18 : $int] : ($less(X18,X6) | $less(X3,X18) | get3(X11,X17) != get3(X11,X18))) & (~$less(X17,X6) & ~$less(X3,X17))) & permut_sub3(mk_array3(X0,X11),mk_array3(X0,X11),X2,$sum(X3,1))) & $less(X4,X6)) & ! [X15 : $int] : ((~$less(get3(X11,$sum(X5,1)),get3(X11,X15)) & ? [X16 : $int] : (get3(X11,X15) = get3(X7,X16) & ~$less(X5,X16) & ~$less(X16,X2))) | ($less(X15,X2) | $less(X5,X15)))) & ! [X14 : $int] : (get3(X11,X14) = get3(X7,X14) | (~$less(X5,X14) | $less(X3,X14)))) & permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X3,1))) & (permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X5,1)) & ! [X12 : $int] : (~$less(get3(X11,X12),get3(X11,X4)) | ($less(X12,X4) | $less(X5,X12))) & ! [X13 : $int] : (~$less(get3(X11,X4),get3(X11,X13)) | ($less(X4,X13) | $less(X13,X2))) & ~$less(X0,0))) & (~$less(X5,X4) & $less(X5,X0) & ~$less(X4,X2) & ~$less(X2,0))) & ~$less(X5,X4)) & (permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1)) & ! [X8 : $int] : (~$less(get3(X7,X8),42) | ($less(X8,X6) | $less(X3,X8))) & ! [X9 : $int] : (42 = get3(X7,X9) | (~$less(X5,X9) | ~$less(X9,X6))) & ! [X10 : $int] : (~$less(42,get3(X7,X10)) | ($less(X10,X2) | $less(X5,X10))) & ~$less(X3,X6) & $less(X5,X6) & ~$less(X5,X2) & ~$less(X0,0))) & (~$less(X2,0) & $less(X2,X3) & $less(X3,X0))) & $less(X2,X3)) & (~$less(X0,0) & ~$less(X2,0) & ~$less(X3,X4) & $less(X3,X0) & ~$less(X4,X2)))), 2.77/0.71 inference(ennf_transformation,[],[f136])). 2.77/0.71 tff(f136,plain,( 2.77/0.71 ~! [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int,X4 : $int] : ((~$less(X0,0) & ~$less(X2,0) & ~$less(X3,X4) & $less(X3,X0) & ~$less(X4,X2)) => ($less(X2,X3) => ((~$less(X2,0) & $less(X2,X3) & $less(X3,X0)) => ! [X5 : $int,X6 : $int,X7 : map_int_int] : ((permut_sub3(mk_array3(X0,X1),mk_array3(X0,X7),X2,$sum(X3,1)) & ! [X8 : $int] : ((~$less(X8,X6) & ~$less(X3,X8)) => ~$less(get3(X7,X8),42)) & ! [X9 : $int] : (($less(X5,X9) & $less(X9,X6)) => 42 = get3(X7,X9)) & ! [X10 : $int] : ((~$less(X10,X2) & ~$less(X5,X10)) => ~$less(42,get3(X7,X10))) & ~$less(X3,X6) & $less(X5,X6) & ~$less(X5,X2) & ~$less(X0,0)) => (~$less(X5,X4) => ((~$less(X5,X4) & $less(X5,X0) & ~$less(X4,X2) & ~$less(X2,0)) => ! [X11 : map_int_int] : ((permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X5,1)) & ! [X12 : $int] : ((~$less(X12,X4) & ~$less(X5,X12)) => ~$less(get3(X11,X12),get3(X11,X4))) & ! [X13 : $int] : ((~$less(X4,X13) & ~$less(X13,X2)) => ~$less(get3(X11,X4),get3(X11,X13))) & ~$less(X0,0)) => (permut_sub3(mk_array3(X0,X7),mk_array3(X0,X11),X2,$sum(X3,1)) => (! [X14 : $int] : (($less(X5,X14) & ~$less(X3,X14)) => get3(X11,X14) = get3(X7,X14)) => (! [X15 : $int] : ((~$less(X15,X2) & ~$less(X5,X15)) => (~$less(get3(X11,$sum(X5,1)),get3(X11,X15)) & ? [X16 : $int] : (get3(X11,X15) = get3(X7,X16) & ~$less(X5,X16) & ~$less(X16,X2)))) => ($less(X4,X6) => (permut_sub3(mk_array3(X0,X11),mk_array3(X0,X11),X2,$sum(X3,1)) => ! [X17 : $int] : ((~$less(X17,X6) & ~$less(X3,X17)) => (~$less(get3(X11,X17),get3(X11,$sum(X6,$uminus(1)))) & ? [X18 : $int] : (~$less(X18,X6) & ~$less(X3,X18) & get3(X11,X17) = get3(X11,X18))))))))))))))))), 2.77/0.71 inference(rectify,[],[f87])). 2.77/0.71 tff(f87,plain,( 2.77/0.71 ~! [X0 : $int,X9 : map_int_int,X4 : $int,X11 : $int,X12 : $int] : ((~$less(X0,0) & ~$less(X4,0) & ~$less(X11,X12) & $less(X11,X0) & ~$less(X12,X4)) => ($less(X4,X11) => ((~$less(X4,0) & $less(X4,X11) & $less(X11,X0)) => ! [X13 : $int,X14 : $int,X10 : map_int_int] : ((permut_sub3(mk_array3(X0,X9),mk_array3(X0,X10),X4,$sum(X11,1)) & ! [X16 : $int] : ((~$less(X16,X14) & ~$less(X11,X16)) => ~$less(get3(X10,X16),42)) & ! [X16 : $int] : (($less(X13,X16) & $less(X16,X14)) => get3(X10,X16) = 42) & ! [X16 : $int] : ((~$less(X16,X4) & ~$less(X13,X16)) => ~$less(42,get3(X10,X16))) & ~$less(X11,X14) & $less(X13,X14) & ~$less(X13,X4) & ~$less(X0,0)) => (~$less(X13,X12) => ((~$less(X13,X12) & $less(X13,X0) & ~$less(X12,X4) & ~$less(X4,0)) => ! [X15 : map_int_int] : ((permut_sub3(mk_array3(X0,X10),mk_array3(X0,X15),X4,$sum(X13,1)) & ! [X16 : $int] : ((~$less(X16,X12) & ~$less(X13,X16)) => ~$less(get3(X15,X16),get3(X15,X12))) & ! [X16 : $int] : ((~$less(X12,X16) & ~$less(X16,X4)) => ~$less(get3(X15,X12),get3(X15,X16))) & ~$less(X0,0)) => (permut_sub3(mk_array3(X0,X10),mk_array3(X0,X15),X4,$sum(X11,1)) => (! [X16 : $int] : (($less(X13,X16) & ~$less(X11,X16)) => get3(X15,X16) = get3(X10,X16)) => (! [X16 : $int] : ((~$less(X16,X4) & ~$less(X13,X16)) => (~$less(get3(X15,$sum(X13,1)),get3(X15,X16)) & ? [X17 : $int] : (get3(X15,X16) = get3(X10,X17) & ~$less(X13,X17) & ~$less(X17,X4)))) => ($less(X12,X14) => (permut_sub3(mk_array3(X0,X15),mk_array3(X0,X15),X4,$sum(X11,1)) => ! [X16 : $int] : ((~$less(X16,X14) & ~$less(X11,X16)) => (~$less(get3(X15,X16),get3(X15,$sum(X14,$uminus(1)))) & ? [X17 : $int] : (~$less(X17,X14) & ~$less(X11,X17) & get3(X15,X16) = get3(X15,X17))))))))))))))))), 2.77/0.71 inference(theory_normalization,[],[f11])). 2.77/0.71 tff(f11,negated_conjecture,( 2.77/0.71 ~! [X0 : $int,X9 : map_int_int,X4 : $int,X11 : $int,X12 : $int] : (($lesseq(0,X0) & $lesseq(0,X4) & $lesseq(X12,X11) & $less(X11,X0) & $lesseq(X4,X12)) => ($less(X4,X11) => (($lesseq(0,X4) & $less(X4,X11) & $less(X11,X0)) => ! [X13 : $int,X14 : $int,X10 : map_int_int] : ((permut_sub3(mk_array3(X0,X9),mk_array3(X0,X10),X4,$sum(X11,1)) & ! [X16 : $int] : (($lesseq(X14,X16) & $lesseq(X16,X11)) => $lesseq(42,get3(X10,X16))) & ! [X16 : $int] : (($less(X13,X16) & $less(X16,X14)) => get3(X10,X16) = 42) & ! [X16 : $int] : (($lesseq(X4,X16) & $lesseq(X16,X13)) => $lesseq(get3(X10,X16),42)) & $lesseq(X14,X11) & $less(X13,X14) & $lesseq(X4,X13) & $lesseq(0,X0)) => ($lesseq(X12,X13) => (($lesseq(X12,X13) & $less(X13,X0) & $lesseq(X4,X12) & $lesseq(0,X4)) => ! [X15 : map_int_int] : ((permut_sub3(mk_array3(X0,X10),mk_array3(X0,X15),X4,$sum(X13,1)) & ! [X16 : $int] : (($lesseq(X12,X16) & $lesseq(X16,X13)) => $lesseq(get3(X15,X12),get3(X15,X16))) & ! [X16 : $int] : (($lesseq(X16,X12) & $lesseq(X4,X16)) => $lesseq(get3(X15,X16),get3(X15,X12))) & $lesseq(0,X0)) => (permut_sub3(mk_array3(X0,X10),mk_array3(X0,X15),X4,$sum(X11,1)) => (! [X16 : $int] : (($less(X13,X16) & $lesseq(X16,X11)) => get3(X15,X16) = get3(X10,X16)) => (! [X16 : $int] : (($lesseq(X4,X16) & $lesseq(X16,X13)) => ($lesseq(get3(X15,X16),get3(X15,$sum(X13,1))) & ? [X17 : $int] : (get3(X15,X16) = get3(X10,X17) & $lesseq(X17,X13) & $lesseq(X4,X17)))) => (~$lesseq(X14,X12) => (permut_sub3(mk_array3(X0,X15),mk_array3(X0,X15),X4,$sum(X11,1)) => ! [X16 : $int] : (($lesseq(X14,X16) & $lesseq(X16,X11)) => ($lesseq(get3(X15,$difference(X14,1)),get3(X15,X16)) & ? [X17 : $int] : ($lesseq(X14,X17) & $lesseq(X17,X11) & get3(X15,X16) = get3(X15,X17))))))))))))))))), 2.77/0.71 inference(negated_conjecture,[],[f10])). 2.77/0.71 tff(f10,conjecture,( 2.77/0.71 ! [X0 : $int,X9 : map_int_int,X4 : $int,X11 : $int,X12 : $int] : (($lesseq(0,X0) & $lesseq(0,X4) & $lesseq(X12,X11) & $less(X11,X0) & $lesseq(X4,X12)) => ($less(X4,X11) => (($lesseq(0,X4) & $less(X4,X11) & $less(X11,X0)) => ! [X13 : $int,X14 : $int,X10 : map_int_int] : ((permut_sub3(mk_array3(X0,X9),mk_array3(X0,X10),X4,$sum(X11,1)) & ! [X16 : $int] : (($lesseq(X14,X16) & $lesseq(X16,X11)) => $lesseq(42,get3(X10,X16))) & ! [X16 : $int] : (($less(X13,X16) & $less(X16,X14)) => get3(X10,X16) = 42) & ! [X16 : $int] : (($lesseq(X4,X16) & $lesseq(X16,X13)) => $lesseq(get3(X10,X16),42)) & $lesseq(X14,X11) & $less(X13,X14) & $lesseq(X4,X13) & $lesseq(0,X0)) => ($lesseq(X12,X13) => (($lesseq(X12,X13) & $less(X13,X0) & $lesseq(X4,X12) & $lesseq(0,X4)) => ! [X15 : map_int_int] : ((permut_sub3(mk_array3(X0,X10),mk_array3(X0,X15),X4,$sum(X13,1)) & ! [X16 : $int] : (($lesseq(X12,X16) & $lesseq(X16,X13)) => $lesseq(get3(X15,X12),get3(X15,X16))) & ! [X16 : $int] : (($lesseq(X16,X12) & $lesseq(X4,X16)) => $lesseq(get3(X15,X16),get3(X15,X12))) & $lesseq(0,X0)) => (permut_sub3(mk_array3(X0,X10),mk_array3(X0,X15),X4,$sum(X11,1)) => (! [X16 : $int] : (($less(X13,X16) & $lesseq(X16,X11)) => get3(X15,X16) = get3(X10,X16)) => (! [X16 : $int] : (($lesseq(X4,X16) & $lesseq(X16,X13)) => ($lesseq(get3(X15,X16),get3(X15,$sum(X13,1))) & ? [X17 : $int] : (get3(X15,X16) = get3(X10,X17) & $lesseq(X17,X13) & $lesseq(X4,X17)))) => (~$lesseq(X14,X12) => (permut_sub3(mk_array3(X0,X15),mk_array3(X0,X15),X4,$sum(X11,1)) => ! [X16 : $int] : (($lesseq(X14,X16) & $lesseq(X16,X11)) => ($lesseq(get3(X15,$difference(X14,1)),get3(X15,X16)) & ? [X17 : $int] : ($lesseq(X14,X17) & $lesseq(X17,X11) & get3(X15,X16) = get3(X15,X17))))))))))))))))), 2.77/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_find)). 2.77/0.71 tff(f351,plain,( 2.77/0.71 ~$less(sK5,sK2)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3573,plain,( 2.77/0.71 ~spl24_131), 2.77/0.71 inference(avatar_contradiction_clause,[],[f3572])). 2.77/0.71 tff(f3572,plain,( 2.77/0.71 $false | ~spl24_131), 2.77/0.71 inference(global_subsumption,[],[f376,f375,f3552])). 2.77/0.71 tff(f3552,plain,( 2.77/0.71 $less(sK9,sK6) | $less(sK3,sK9) | ~spl24_131), 2.77/0.71 inference(resolution,[],[f3542,f356])). 2.77/0.71 tff(f356,plain,( 2.77/0.71 ( ! [X16 : $int] : (~$less(get3(sK7,X16),42) | $less(X16,sK6) | $less(sK3,X16)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3542,plain,( 2.77/0.71 $less(get3(sK7,sK9),42) | ~spl24_131), 2.77/0.71 inference(avatar_component_clause,[],[f3541])). 2.77/0.71 tff(f3541,plain,( 2.77/0.71 spl24_131 <=> $less(get3(sK7,sK9),42)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_131])])). 2.77/0.71 tff(f375,plain,( 2.77/0.71 ~$less(sK3,sK9)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f376,plain,( 2.77/0.71 ~$less(sK9,sK6)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3571,plain,( 2.77/0.71 ~spl24_131), 2.77/0.71 inference(avatar_contradiction_clause,[],[f3570])). 2.77/0.71 tff(f3570,plain,( 2.77/0.71 $false | ~spl24_131), 2.77/0.71 inference(global_subsumption,[],[f376,f375,f3552])). 2.77/0.71 tff(f3569,plain,( 2.77/0.71 ~spl24_131), 2.77/0.71 inference(avatar_contradiction_clause,[],[f3568])). 2.77/0.71 tff(f3568,plain,( 2.77/0.71 $false | ~spl24_131), 2.77/0.71 inference(global_subsumption,[],[f376,f375,f3552])). 2.77/0.71 tff(f3567,plain,( 2.77/0.71 ~spl24_131), 2.77/0.71 inference(avatar_contradiction_clause,[],[f3566])). 2.77/0.71 tff(f3566,plain,( 2.77/0.71 $false | ~spl24_131), 2.77/0.71 inference(global_subsumption,[],[f376,f375,f3552])). 2.77/0.71 tff(f3565,plain,( 2.77/0.71 ~spl24_131), 2.77/0.71 inference(avatar_contradiction_clause,[],[f3564])). 2.77/0.71 tff(f3564,plain,( 2.77/0.71 $false | ~spl24_131), 2.77/0.71 inference(global_subsumption,[],[f376,f375,f3552])). 2.77/0.71 tff(f3563,plain,( 2.77/0.71 ~spl24_131), 2.77/0.71 inference(avatar_contradiction_clause,[],[f3562])). 2.77/0.71 tff(f3562,plain,( 2.77/0.71 $false | ~spl24_131), 2.77/0.71 inference(global_subsumption,[],[f376,f375,f3552])). 2.77/0.71 tff(f3551,plain,( 2.77/0.71 spl24_133 | ~spl24_120 | ~spl24_129), 2.77/0.71 inference(avatar_split_clause,[],[f3535,f3529,f3462,f3549])). 2.77/0.71 tff(f3549,plain,( 2.77/0.71 spl24_133 <=> 42 = get3(sK7,42)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_133])])). 2.77/0.71 tff(f3462,plain,( 2.77/0.71 spl24_120 <=> 42 = get3(sK7,get3(sK8,$sum(-1,sK6)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_120])])). 2.77/0.71 tff(f3529,plain,( 2.77/0.71 spl24_129 <=> 42 = get3(sK8,$sum(-1,sK6))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_129])])). 2.77/0.71 tff(f3535,plain,( 2.77/0.71 42 = get3(sK7,42) | (~spl24_120 | ~spl24_129)), 2.77/0.71 inference(backward_demodulation,[],[f3463,f3530])). 2.77/0.71 tff(f3530,plain,( 2.77/0.71 42 = get3(sK8,$sum(-1,sK6)) | ~spl24_129), 2.77/0.71 inference(avatar_component_clause,[],[f3529])). 2.77/0.71 tff(f3463,plain,( 2.77/0.71 42 = get3(sK7,get3(sK8,$sum(-1,sK6))) | ~spl24_120), 2.77/0.71 inference(avatar_component_clause,[],[f3462])). 2.77/0.71 tff(f3547,plain,( 2.77/0.71 ~spl24_132 | spl24_110 | ~spl24_129), 2.77/0.71 inference(avatar_split_clause,[],[f3534,f3529,f3422,f3545])). 2.77/0.71 tff(f3545,plain,( 2.77/0.71 spl24_132 <=> $less(42,get3(sK7,sK9))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_132])])). 2.77/0.71 tff(f3422,plain,( 2.77/0.71 spl24_110 <=> $less(get3(sK8,$sum(-1,sK6)),get3(sK7,sK9))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_110])])). 2.77/0.71 tff(f3534,plain,( 2.77/0.71 ~$less(42,get3(sK7,sK9)) | (spl24_110 | ~spl24_129)), 2.77/0.71 inference(backward_demodulation,[],[f3423,f3530])). 2.77/0.71 tff(f3423,plain,( 2.77/0.71 ~$less(get3(sK8,$sum(-1,sK6)),get3(sK7,sK9)) | spl24_110), 2.77/0.71 inference(avatar_component_clause,[],[f3422])). 2.77/0.71 tff(f3543,plain,( 2.77/0.71 spl24_131 | ~spl24_89 | ~spl24_129), 2.77/0.71 inference(avatar_split_clause,[],[f3533,f3529,f1409,f3541])). 2.77/0.71 tff(f1409,plain,( 2.77/0.71 spl24_89 <=> $less(get3(sK7,sK9),get3(sK8,$sum(-1,sK6)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_89])])). 2.77/0.71 tff(f3533,plain,( 2.77/0.71 $less(get3(sK7,sK9),42) | (~spl24_89 | ~spl24_129)), 2.77/0.71 inference(backward_demodulation,[],[f1410,f3530])). 2.77/0.71 tff(f1410,plain,( 2.77/0.71 $less(get3(sK7,sK9),get3(sK8,$sum(-1,sK6))) | ~spl24_89), 2.77/0.71 inference(avatar_component_clause,[],[f1409])). 2.77/0.71 tff(f3539,plain,( 2.77/0.71 spl24_130 | ~spl24_124 | ~spl24_129), 2.77/0.71 inference(avatar_split_clause,[],[f3532,f3529,f3498,f3537])). 2.77/0.71 tff(f3537,plain,( 2.77/0.71 spl24_130 <=> 42 = get3(sK8,42)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_130])])). 2.77/0.71 tff(f3498,plain,( 2.77/0.71 spl24_124 <=> 42 = get3(sK8,get3(sK8,$sum(-1,sK6)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_124])])). 2.77/0.71 tff(f3532,plain,( 2.77/0.71 42 = get3(sK8,42) | (~spl24_124 | ~spl24_129)), 2.77/0.71 inference(backward_demodulation,[],[f3499,f3530])). 2.77/0.71 tff(f3499,plain,( 2.77/0.71 42 = get3(sK8,get3(sK8,$sum(-1,sK6))) | ~spl24_124), 2.77/0.71 inference(avatar_component_clause,[],[f3498])). 2.77/0.71 tff(f3531,plain,( 2.77/0.71 spl24_129 | ~spl24_126 | ~spl24_128), 2.77/0.71 inference(avatar_split_clause,[],[f3527,f3524,f3517,f3529])). 2.77/0.71 tff(f3517,plain,( 2.77/0.71 spl24_126 <=> get3(sK8,$sum(-1,sK6)) = get3(sK7,$sum(-1,sK6))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_126])])). 2.77/0.71 tff(f3524,plain,( 2.77/0.71 spl24_128 <=> 42 = get3(sK7,$sum(-1,sK6))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_128])])). 2.77/0.71 tff(f3527,plain,( 2.77/0.71 42 = get3(sK8,$sum(-1,sK6)) | (~spl24_126 | ~spl24_128)), 2.77/0.71 inference(forward_demodulation,[],[f3518,f3525])). 2.77/0.71 tff(f3525,plain,( 2.77/0.71 42 = get3(sK7,$sum(-1,sK6)) | ~spl24_128), 2.77/0.71 inference(avatar_component_clause,[],[f3524])). 2.77/0.71 tff(f3518,plain,( 2.77/0.71 get3(sK8,$sum(-1,sK6)) = get3(sK7,$sum(-1,sK6)) | ~spl24_126), 2.77/0.71 inference(avatar_component_clause,[],[f3517])). 2.77/0.71 tff(f3526,plain,( 2.77/0.71 ~spl24_127 | spl24_128 | ~spl24_114), 2.77/0.71 inference(avatar_split_clause,[],[f3503,f3442,f3524,f3521])). 2.77/0.71 tff(f3521,plain,( 2.77/0.71 spl24_127 <=> $less($sum(-1,sK6),sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_127])])). 2.77/0.71 tff(f3442,plain,( 2.77/0.71 spl24_114 <=> $less(sK5,$sum(-1,sK6))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_114])])). 2.77/0.71 tff(f3503,plain,( 2.77/0.71 42 = get3(sK7,$sum(-1,sK6)) | ~$less($sum(-1,sK6),sK6) | ~spl24_114), 2.77/0.71 inference(resolution,[],[f3443,f355])). 2.77/0.71 tff(f355,plain,( 2.77/0.71 ( ! [X17 : $int] : (~$less(sK5,X17) | 42 = get3(sK7,X17) | ~$less(X17,sK6)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3443,plain,( 2.77/0.71 $less(sK5,$sum(-1,sK6)) | ~spl24_114), 2.77/0.71 inference(avatar_component_clause,[],[f3442])). 2.77/0.71 tff(f3519,plain,( 2.77/0.71 spl24_125 | spl24_126 | ~spl24_114), 2.77/0.71 inference(avatar_split_clause,[],[f3502,f3442,f3517,f3514])). 2.77/0.71 tff(f3514,plain,( 2.77/0.71 spl24_125 <=> $less(sK3,$sum(-1,sK6))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_125])])). 2.77/0.71 tff(f3502,plain,( 2.77/0.71 get3(sK8,$sum(-1,sK6)) = get3(sK7,$sum(-1,sK6)) | $less(sK3,$sum(-1,sK6)) | ~spl24_114), 2.77/0.71 inference(resolution,[],[f3443,f368])). 2.77/0.71 tff(f368,plain,( 2.77/0.71 ( ! [X13 : $int] : (~$less(sK5,X13) | get3(sK7,X13) = get3(sK8,X13) | $less(sK3,X13)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3500,plain,( 2.77/0.71 spl24_124 | ~spl24_117 | ~spl24_120), 2.77/0.71 inference(avatar_split_clause,[],[f3496,f3462,f3452,f3498])). 2.77/0.71 tff(f3452,plain,( 2.77/0.71 spl24_117 <=> get3(sK7,get3(sK8,$sum(-1,sK6))) = get3(sK8,get3(sK8,$sum(-1,sK6)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_117])])). 2.77/0.71 tff(f3496,plain,( 2.77/0.71 42 = get3(sK8,get3(sK8,$sum(-1,sK6))) | (~spl24_117 | ~spl24_120)), 2.77/0.71 inference(forward_demodulation,[],[f3453,f3463])). 2.77/0.71 tff(f3453,plain,( 2.77/0.71 get3(sK7,get3(sK8,$sum(-1,sK6))) = get3(sK8,get3(sK8,$sum(-1,sK6))) | ~spl24_117), 2.77/0.71 inference(avatar_component_clause,[],[f3452])). 2.77/0.71 tff(f3495,plain,( 2.77/0.71 ~spl24_1 | ~spl24_88), 2.77/0.71 inference(avatar_contradiction_clause,[],[f3494])). 2.77/0.71 tff(f3494,plain,( 2.77/0.71 $false | (~spl24_1 | ~spl24_88)), 2.77/0.71 inference(global_subsumption,[],[f376,f375,f3480])). 2.77/0.71 tff(f3480,plain,( 2.77/0.71 $less(sK9,sK6) | $less(sK3,sK9) | (~spl24_1 | ~spl24_88)), 2.77/0.71 inference(trivial_inequality_removal,[],[f3478])). 2.77/0.71 tff(f3478,plain,( 2.77/0.71 get3(sK7,sK9) != get3(sK7,sK9) | $less(sK9,sK6) | $less(sK3,sK9) | (~spl24_1 | ~spl24_88)), 2.77/0.71 inference(superposition,[],[f3465,f1404])). 2.77/0.71 tff(f1404,plain,( 2.77/0.71 get3(sK8,sK9) = get3(sK7,sK9) | ~spl24_88), 2.77/0.71 inference(avatar_component_clause,[],[f1403])). 2.77/0.71 tff(f1403,plain,( 2.77/0.71 spl24_88 <=> get3(sK8,sK9) = get3(sK7,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_88])])). 2.77/0.71 tff(f3465,plain,( 2.77/0.71 ( ! [X10 : $int] : (get3(sK8,X10) != get3(sK7,sK9) | $less(X10,sK6) | $less(sK3,X10)) ) | (~spl24_1 | ~spl24_88)), 2.77/0.71 inference(forward_demodulation,[],[f546,f1404])). 2.77/0.71 tff(f546,plain,( 2.77/0.71 ( ! [X10 : $int] : ($less(X10,sK6) | get3(sK8,X10) != get3(sK8,sK9) | $less(sK3,X10)) ) | ~spl24_1), 2.77/0.71 inference(avatar_component_clause,[],[f545])). 2.77/0.71 tff(f545,plain,( 2.77/0.71 spl24_1 <=> ! [X10 : $int] : ($less(X10,sK6) | get3(sK8,X10) != get3(sK8,sK9) | $less(sK3,X10))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_1])])). 2.77/0.71 tff(f3493,plain,( 2.77/0.71 spl24_122 | ~spl24_123 | ~spl24_1 | ~spl24_24 | ~spl24_88), 2.77/0.71 inference(avatar_split_clause,[],[f3486,f1403,f656,f545,f3491,f3488])). 2.77/0.71 tff(f3488,plain,( 2.77/0.71 spl24_122 <=> $less(sK6,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_122])])). 2.77/0.71 tff(f3491,plain,( 2.77/0.71 spl24_123 <=> get3(sK7,sK6) = get3(sK7,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_123])])). 2.77/0.71 tff(f656,plain,( 2.77/0.71 spl24_24 <=> get3(sK7,sK6) = get3(sK8,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_24])])). 2.77/0.71 tff(f3486,plain,( 2.77/0.71 get3(sK7,sK6) != get3(sK7,sK9) | $less(sK6,sK6) | (~spl24_1 | ~spl24_24 | ~spl24_88)), 2.77/0.71 inference(global_subsumption,[],[f353,f3477])). 2.77/0.71 tff(f3477,plain,( 2.77/0.71 get3(sK7,sK6) != get3(sK7,sK9) | $less(sK6,sK6) | $less(sK3,sK6) | (~spl24_1 | ~spl24_24 | ~spl24_88)), 2.77/0.71 inference(superposition,[],[f3465,f657])). 2.77/0.71 tff(f657,plain,( 2.77/0.71 get3(sK7,sK6) = get3(sK8,sK6) | ~spl24_24), 2.77/0.71 inference(avatar_component_clause,[],[f656])). 2.77/0.71 tff(f353,plain,( 2.77/0.71 ~$less(sK3,sK6)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3485,plain,( 2.77/0.71 spl24_103 | ~spl24_121 | ~spl24_1 | ~spl24_88 | ~spl24_104), 2.77/0.71 inference(avatar_split_clause,[],[f3481,f2110,f1403,f545,f3483,f2107])). 2.77/0.71 tff(f2107,plain,( 2.77/0.71 spl24_103 <=> $less(sK3,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_103])])). 2.77/0.71 tff(f3483,plain,( 2.77/0.71 spl24_121 <=> get3(sK7,sK9) = get3(sK7,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_121])])). 2.77/0.71 tff(f2110,plain,( 2.77/0.71 spl24_104 <=> get3(sK8,sK3) = get3(sK7,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_104])])). 2.77/0.71 tff(f3481,plain,( 2.77/0.71 get3(sK7,sK9) != get3(sK7,sK3) | $less(sK3,sK3) | (~spl24_1 | ~spl24_88 | ~spl24_104)), 2.77/0.71 inference(global_subsumption,[],[f353,f3475])). 2.77/0.71 tff(f3475,plain,( 2.77/0.71 get3(sK7,sK9) != get3(sK7,sK3) | $less(sK3,sK6) | $less(sK3,sK3) | (~spl24_1 | ~spl24_88 | ~spl24_104)), 2.77/0.71 inference(superposition,[],[f3465,f2111])). 2.77/0.71 tff(f2111,plain,( 2.77/0.71 get3(sK8,sK3) = get3(sK7,sK3) | ~spl24_104), 2.77/0.71 inference(avatar_component_clause,[],[f2110])). 2.77/0.71 tff(f3464,plain,( 2.77/0.71 ~spl24_119 | spl24_120 | ~spl24_118 | ~spl24_2 | ~spl24_88), 2.77/0.71 inference(avatar_split_clause,[],[f3412,f1403,f548,f3455,f3462,f3459])). 2.77/0.71 tff(f3459,plain,( 2.77/0.71 spl24_119 <=> $less(get3(sK8,$sum(-1,sK6)),sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_119])])). 2.77/0.71 tff(f3455,plain,( 2.77/0.71 spl24_118 <=> $less(sK5,get3(sK7,sK9))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_118])])). 2.77/0.71 tff(f548,plain,( 2.77/0.71 spl24_2 <=> $less(get3(sK8,sK9),get3(sK8,$sum(-1,sK6)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_2])])). 2.77/0.71 tff(f3412,plain,( 2.77/0.71 ~$less(sK5,get3(sK7,sK9)) | 42 = get3(sK7,get3(sK8,$sum(-1,sK6))) | ~$less(get3(sK8,$sum(-1,sK6)),sK6) | (~spl24_2 | ~spl24_88)), 2.77/0.71 inference(resolution,[],[f1406,f355])). 2.77/0.71 tff(f1406,plain,( 2.77/0.71 ( ! [X5 : $int] : ($less(X5,get3(sK8,$sum(-1,sK6))) | ~$less(X5,get3(sK7,sK9))) ) | (~spl24_2 | ~spl24_88)), 2.77/0.71 inference(backward_demodulation,[],[f868,f1404])). 2.77/0.71 tff(f868,plain,( 2.77/0.71 ( ! [X5 : $int] : (~$less(X5,get3(sK8,sK9)) | $less(X5,get3(sK8,$sum(-1,sK6)))) ) | ~spl24_2), 2.77/0.71 inference(resolution,[],[f124,f549])). 2.77/0.71 tff(f549,plain,( 2.77/0.71 $less(get3(sK8,sK9),get3(sK8,$sum(-1,sK6))) | ~spl24_2), 2.77/0.71 inference(avatar_component_clause,[],[f548])). 2.77/0.71 tff(f3457,plain,( 2.77/0.71 spl24_116 | spl24_117 | ~spl24_118 | ~spl24_2 | ~spl24_88), 2.77/0.71 inference(avatar_split_clause,[],[f3411,f1403,f548,f3455,f3452,f3449])). 2.77/0.71 tff(f3449,plain,( 2.77/0.71 spl24_116 <=> $less(sK3,get3(sK8,$sum(-1,sK6)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_116])])). 2.77/0.71 tff(f3411,plain,( 2.77/0.71 ~$less(sK5,get3(sK7,sK9)) | get3(sK7,get3(sK8,$sum(-1,sK6))) = get3(sK8,get3(sK8,$sum(-1,sK6))) | $less(sK3,get3(sK8,$sum(-1,sK6))) | (~spl24_2 | ~spl24_88)), 2.77/0.71 inference(resolution,[],[f1406,f368])). 2.77/0.71 tff(f3447,plain,( 2.77/0.71 spl24_114 | spl24_111 | ~spl24_115 | ~spl24_2 | ~spl24_88), 2.77/0.71 inference(avatar_split_clause,[],[f3410,f1403,f548,f3445,f3432,f3442])). 2.77/0.71 tff(f3432,plain,( 2.77/0.71 spl24_111 <=> $less($sum(-1,sK6),sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_111])])). 2.77/0.71 tff(f3445,plain,( 2.77/0.71 spl24_115 <=> $less(get3(sK8,$sum(1,sK5)),get3(sK7,sK9))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_115])])). 2.77/0.71 tff(f3410,plain,( 2.77/0.71 ~$less(get3(sK8,$sum(1,sK5)),get3(sK7,sK9)) | $less($sum(-1,sK6),sK2) | $less(sK5,$sum(-1,sK6)) | (~spl24_2 | ~spl24_88)), 2.77/0.71 inference(resolution,[],[f1406,f568])). 2.77/0.71 tff(f568,plain,( 2.77/0.71 ( ! [X11 : $int] : (~$less(get3(sK8,$sum(1,sK5)),get3(sK8,X11)) | $less(X11,sK2) | $less(sK5,X11)) )), 2.77/0.71 inference(forward_demodulation,[],[f372,f118])). 2.77/0.71 tff(f118,plain,( 2.77/0.71 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 2.77/0.71 introduced(theory_axiom_139,[])). 2.77/0.71 tff(f372,plain,( 2.77/0.71 ( ! [X11 : $int] : (~$less(get3(sK8,$sum(sK5,1)),get3(sK8,X11)) | $less(X11,sK2) | $less(sK5,X11)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3440,plain,( 2.77/0.71 spl24_111 | spl24_112 | ~spl24_113 | ~spl24_2 | ~spl24_88), 2.77/0.71 inference(avatar_split_clause,[],[f3409,f1403,f548,f3438,f3435,f3432])). 2.77/0.71 tff(f3435,plain,( 2.77/0.71 spl24_112 <=> $less(sK4,$sum(-1,sK6))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_112])])). 2.77/0.71 tff(f3438,plain,( 2.77/0.71 spl24_113 <=> $less(get3(sK8,sK4),get3(sK7,sK9))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_113])])). 2.77/0.71 tff(f3409,plain,( 2.77/0.71 ~$less(get3(sK8,sK4),get3(sK7,sK9)) | $less(sK4,$sum(-1,sK6)) | $less($sum(-1,sK6),sK2) | (~spl24_2 | ~spl24_88)), 2.77/0.71 inference(resolution,[],[f1406,f364])). 2.77/0.71 tff(f364,plain,( 2.77/0.71 ( ! [X15 : $int] : (~$less(get3(sK8,sK4),get3(sK8,X15)) | $less(sK4,X15) | $less(X15,sK2)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f3424,plain,( 2.77/0.71 ~spl24_110 | ~spl24_2 | ~spl24_88), 2.77/0.71 inference(avatar_split_clause,[],[f3403,f1403,f548,f3422])). 2.77/0.71 tff(f3403,plain,( 2.77/0.71 ~$less(get3(sK8,$sum(-1,sK6)),get3(sK7,sK9)) | (~spl24_2 | ~spl24_88)), 2.77/0.71 inference(resolution,[],[f1406,f123])). 2.77/0.71 tff(f123,plain,( 2.77/0.71 ( ! [X0 : $int] : (~$less(X0,X0)) )), 2.77/0.71 introduced(theory_axiom_146,[])). 2.77/0.71 tff(f2792,plain,( 2.77/0.71 spl24_108 | spl24_109 | spl24_95), 2.77/0.71 inference(avatar_split_clause,[],[f2784,f1991,f2789,f2786])). 2.77/0.71 tff(f2786,plain,( 2.77/0.71 spl24_108 <=> 0 = $sum(sK9,$uminus(sK3))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_108])])). 2.77/0.71 tff(f2789,plain,( 2.77/0.71 spl24_109 <=> $less(0,$sum(sK9,$uminus(sK3)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_109])])). 2.77/0.71 tff(f1991,plain,( 2.77/0.71 spl24_95 <=> $less($sum(sK9,$uminus(sK3)),0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_95])])). 2.77/0.71 tff(f2784,plain,( 2.77/0.71 $less(0,$sum(sK9,$uminus(sK3))) | 0 = $sum(sK9,$uminus(sK3)) | spl24_95), 2.77/0.71 inference(resolution,[],[f1992,f125])). 2.77/0.71 tff(f125,plain,( 2.77/0.71 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 2.77/0.71 introduced(theory_axiom_148,[])). 2.77/0.71 tff(f1992,plain,( 2.77/0.71 ~$less($sum(sK9,$uminus(sK3)),0) | spl24_95), 2.77/0.71 inference(avatar_component_clause,[],[f1991])). 2.77/0.71 tff(f2791,plain,( 2.77/0.71 spl24_108 | spl24_109 | spl24_95), 2.77/0.71 inference(avatar_split_clause,[],[f2783,f1991,f2789,f2786])). 2.77/0.71 tff(f2783,plain,( 2.77/0.71 $less(0,$sum(sK9,$uminus(sK3))) | 0 = $sum(sK9,$uminus(sK3)) | spl24_95), 2.77/0.71 inference(resolution,[],[f1992,f125])). 2.77/0.71 tff(f2318,plain,( 2.77/0.71 spl24_107 | ~spl24_19 | ~spl24_101), 2.77/0.71 inference(avatar_split_clause,[],[f2313,f2038,f624,f2316])). 2.77/0.71 tff(f2316,plain,( 2.77/0.71 spl24_107 <=> $less(sK10(sK5),sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_107])])). 2.77/0.71 tff(f624,plain,( 2.77/0.71 spl24_19 <=> $less(sK3,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_19])])). 2.77/0.71 tff(f2038,plain,( 2.77/0.71 spl24_101 <=> $less(sK10(sK5),sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_101])])). 2.77/0.71 tff(f2313,plain,( 2.77/0.71 $less(sK10(sK5),sK0) | (~spl24_19 | ~spl24_101)), 2.77/0.71 inference(resolution,[],[f2039,f870])). 2.77/0.71 tff(f870,plain,( 2.77/0.71 ( ! [X7 : $int] : (~$less(X7,sK3) | $less(X7,sK0)) ) | ~spl24_19), 2.77/0.71 inference(resolution,[],[f124,f625])). 2.77/0.71 tff(f625,plain,( 2.77/0.71 $less(sK3,sK0) | ~spl24_19), 2.77/0.71 inference(avatar_component_clause,[],[f624])). 2.77/0.71 tff(f2039,plain,( 2.77/0.71 $less(sK10(sK5),sK3) | ~spl24_101), 2.77/0.71 inference(avatar_component_clause,[],[f2038])). 2.77/0.71 tff(f2307,plain,( 2.77/0.71 spl24_106 | ~spl24_19 | ~spl24_100), 2.77/0.71 inference(avatar_split_clause,[],[f2302,f2034,f624,f2305])). 2.77/0.71 tff(f2305,plain,( 2.77/0.71 spl24_106 <=> $less(sK10(sK4),sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_106])])). 2.77/0.71 tff(f2034,plain,( 2.77/0.71 spl24_100 <=> $less(sK10(sK4),sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_100])])). 2.77/0.71 tff(f2302,plain,( 2.77/0.71 $less(sK10(sK4),sK0) | (~spl24_19 | ~spl24_100)), 2.77/0.71 inference(resolution,[],[f2035,f870])). 2.77/0.71 tff(f2035,plain,( 2.77/0.71 $less(sK10(sK4),sK3) | ~spl24_100), 2.77/0.71 inference(avatar_component_clause,[],[f2034])). 2.77/0.71 tff(f2288,plain,( 2.77/0.71 spl24_105 | ~spl24_19 | ~spl24_99), 2.77/0.71 inference(avatar_split_clause,[],[f2283,f2030,f624,f2286])). 2.77/0.71 tff(f2286,plain,( 2.77/0.71 spl24_105 <=> $less(sK10(sK2),sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_105])])). 2.77/0.71 tff(f2030,plain,( 2.77/0.71 spl24_99 <=> $less(sK10(sK2),sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_99])])). 2.77/0.71 tff(f2283,plain,( 2.77/0.71 $less(sK10(sK2),sK0) | (~spl24_19 | ~spl24_99)), 2.77/0.71 inference(resolution,[],[f2031,f870])). 2.77/0.71 tff(f2031,plain,( 2.77/0.71 $less(sK10(sK2),sK3) | ~spl24_99), 2.77/0.71 inference(avatar_component_clause,[],[f2030])). 2.77/0.71 tff(f2112,plain,( 2.77/0.71 spl24_103 | spl24_104 | ~spl24_97), 2.77/0.71 inference(avatar_split_clause,[],[f2102,f2022,f2110,f2107])). 2.77/0.71 tff(f2022,plain,( 2.77/0.71 spl24_97 <=> $less(sK5,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_97])])). 2.77/0.71 tff(f2102,plain,( 2.77/0.71 get3(sK8,sK3) = get3(sK7,sK3) | $less(sK3,sK3) | ~spl24_97), 2.77/0.71 inference(resolution,[],[f2023,f368])). 2.77/0.71 tff(f2023,plain,( 2.77/0.71 $less(sK5,sK3) | ~spl24_97), 2.77/0.71 inference(avatar_component_clause,[],[f2022])). 2.77/0.71 tff(f2081,plain,( 2.77/0.71 spl24_102 | ~spl24_19 | ~spl24_98), 2.77/0.71 inference(avatar_split_clause,[],[f2076,f2026,f624,f2079])). 2.77/0.71 tff(f2079,plain,( 2.77/0.71 spl24_102 <=> $less(sK6,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_102])])). 2.77/0.71 tff(f2026,plain,( 2.77/0.71 spl24_98 <=> $less(sK6,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_98])])). 2.77/0.71 tff(f2076,plain,( 2.77/0.71 $less(sK6,sK0) | (~spl24_19 | ~spl24_98)), 2.77/0.71 inference(resolution,[],[f2027,f870])). 2.77/0.71 tff(f2027,plain,( 2.77/0.71 $less(sK6,sK3) | ~spl24_98), 2.77/0.71 inference(avatar_component_clause,[],[f2026])). 2.77/0.71 tff(f2040,plain,( 2.77/0.71 spl24_101 | spl24_4 | ~spl24_86), 2.77/0.71 inference(avatar_split_clause,[],[f2012,f1384,f556,f2038])). 2.77/0.71 tff(f556,plain,( 2.77/0.71 spl24_4 <=> $less(sK3,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_4])])). 2.77/0.71 tff(f1384,plain,( 2.77/0.71 spl24_86 <=> $less(sK10(sK5),sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_86])])). 2.77/0.71 tff(f2012,plain,( 2.77/0.71 $less(sK10(sK5),sK3) | (spl24_4 | ~spl24_86)), 2.77/0.71 inference(resolution,[],[f1986,f1385])). 2.77/0.71 tff(f1385,plain,( 2.77/0.71 $less(sK10(sK5),sK9) | ~spl24_86), 2.77/0.71 inference(avatar_component_clause,[],[f1384])). 2.77/0.71 tff(f1986,plain,( 2.77/0.71 ( ! [X14 : $int] : (~$less(X14,sK9) | $less(X14,sK3)) ) | spl24_4), 2.77/0.71 inference(evaluation,[],[f1980])). 2.77/0.71 tff(f1980,plain,( 2.77/0.71 ( ! [X14 : $int] : ($less(0,0) | $less(X14,sK3) | ~$less(X14,sK9)) ) | spl24_4), 2.77/0.71 inference(superposition,[],[f465,f1183])). 2.77/0.71 tff(f1183,plain,( 2.77/0.71 ( ! [X73 : ty,X74 : uni,X75 : uni] : (0 = occ1(X73,X74,X75,sK3,sK9)) ) | spl24_4), 2.77/0.71 inference(resolution,[],[f458,f557])). 2.77/0.71 tff(f557,plain,( 2.77/0.71 ~$less(sK3,sK9) | spl24_4), 2.77/0.71 inference(avatar_component_clause,[],[f556])). 2.77/0.71 tff(f458,plain,( 2.77/0.71 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : ($less(X3,X4) | 0 = occ1(X0,X1,X2,X3,X4)) )), 2.77/0.71 inference(cnf_transformation,[],[f247])). 2.77/0.71 tff(f247,plain,( 2.77/0.71 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (0 = occ1(X0,X1,X2,X3,X4) | $less(X3,X4))), 2.77/0.71 inference(ennf_transformation,[],[f189])). 2.77/0.71 tff(f189,plain,( 2.77/0.71 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X3,X4) => 0 = occ1(X0,X1,X2,X3,X4))), 2.77/0.71 inference(rectify,[],[f99])). 2.77/0.71 tff(f99,plain,( 2.77/0.71 ! [X0 : ty,X3 : uni,X4 : uni,X5 : $int,X6 : $int] : (~$less(X5,X6) => occ1(X0,X3,X4,X5,X6) = 0)), 2.77/0.71 inference(theory_normalization,[],[f3])). 2.77/0.71 tff(f3,axiom,( 2.77/0.71 ! [X0 : ty,X3 : uni,X4 : uni,X5 : $int,X6 : $int] : ($lesseq(X6,X5) => occ1(X0,X3,X4,X5,X6) = 0)), 2.77/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_empty)). 2.77/0.71 tff(f465,plain,( 2.77/0.71 ( ! [X2 : $int,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : ($less(0,occ1(X0,get(X0,int,X1,t2tb1(X4)),X1,X2,X3)) | $less(X4,X2) | ~$less(X4,X3)) )), 2.77/0.71 inference(cnf_transformation,[],[f253])). 2.77/0.71 tff(f253,plain,( 2.77/0.71 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ1(X0,get(X0,int,X1,t2tb1(X4)),X1,X2,X3)) | $less(X4,X2) | ~$less(X4,X3))), 2.77/0.71 inference(flattening,[],[f252])). 2.77/0.71 tff(f252,plain,( 2.77/0.71 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ($less(0,occ1(X0,get(X0,int,X1,t2tb1(X4)),X1,X2,X3)) | ($less(X4,X2) | ~$less(X4,X3)))), 2.77/0.71 inference(ennf_transformation,[],[f193])). 2.77/0.71 tff(f193,plain,( 2.77/0.71 ! [X0 : ty,X1 : uni,X2 : $int,X3 : $int,X4 : $int] : ((~$less(X4,X2) & $less(X4,X3)) => $less(0,occ1(X0,get(X0,int,X1,t2tb1(X4)),X1,X2,X3)))), 2.77/0.71 inference(rectify,[],[f102])). 2.77/0.71 tff(f102,plain,( 2.77/0.71 ! [X0 : ty,X4 : uni,X5 : $int,X6 : $int,X14 : $int] : ((~$less(X14,X5) & $less(X14,X6)) => $less(0,occ1(X0,get(X0,int,X4,t2tb1(X14)),X4,X5,X6)))), 2.77/0.71 inference(theory_normalization,[],[f40])). 2.77/0.71 tff(f40,axiom,( 2.77/0.71 ! [X0 : ty,X4 : uni,X5 : $int,X6 : $int,X14 : $int] : (($lesseq(X5,X14) & $less(X14,X6)) => $less(0,occ1(X0,get(X0,int,X4,t2tb1(X14)),X4,X5,X6)))), 2.77/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_pos1)). 2.77/0.71 tff(f2036,plain,( 2.77/0.71 spl24_100 | spl24_4 | ~spl24_85), 2.77/0.71 inference(avatar_split_clause,[],[f2011,f1380,f556,f2034])). 2.77/0.71 tff(f1380,plain,( 2.77/0.71 spl24_85 <=> $less(sK10(sK4),sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_85])])). 2.77/0.71 tff(f2011,plain,( 2.77/0.71 $less(sK10(sK4),sK3) | (spl24_4 | ~spl24_85)), 2.77/0.71 inference(resolution,[],[f1986,f1381])). 2.77/0.71 tff(f1381,plain,( 2.77/0.71 $less(sK10(sK4),sK9) | ~spl24_85), 2.77/0.71 inference(avatar_component_clause,[],[f1380])). 2.77/0.71 tff(f2032,plain,( 2.77/0.71 spl24_99 | spl24_4 | ~spl24_84), 2.77/0.71 inference(avatar_split_clause,[],[f2010,f1376,f556,f2030])). 2.77/0.71 tff(f1376,plain,( 2.77/0.71 spl24_84 <=> $less(sK10(sK2),sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_84])])). 2.77/0.71 tff(f2010,plain,( 2.77/0.71 $less(sK10(sK2),sK3) | (spl24_4 | ~spl24_84)), 2.77/0.71 inference(resolution,[],[f1986,f1377])). 2.77/0.71 tff(f1377,plain,( 2.77/0.71 $less(sK10(sK2),sK9) | ~spl24_84), 2.77/0.71 inference(avatar_component_clause,[],[f1376])). 2.77/0.71 tff(f2028,plain,( 2.77/0.71 spl24_98 | spl24_4 | ~spl24_72), 2.77/0.71 inference(avatar_split_clause,[],[f2009,f986,f556,f2026])). 2.77/0.71 tff(f986,plain,( 2.77/0.71 spl24_72 <=> $less(sK6,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_72])])). 2.77/0.71 tff(f2009,plain,( 2.77/0.71 $less(sK6,sK3) | (spl24_4 | ~spl24_72)), 2.77/0.71 inference(resolution,[],[f1986,f987])). 2.77/0.71 tff(f987,plain,( 2.77/0.71 $less(sK6,sK9) | ~spl24_72), 2.77/0.71 inference(avatar_component_clause,[],[f986])). 2.77/0.71 tff(f2024,plain,( 2.77/0.71 spl24_97 | spl24_4 | ~spl24_83), 2.77/0.71 inference(avatar_split_clause,[],[f2007,f1372,f556,f2022])). 2.77/0.71 tff(f1372,plain,( 2.77/0.71 spl24_83 <=> $less(sK5,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_83])])). 2.77/0.71 tff(f2007,plain,( 2.77/0.71 $less(sK5,sK3) | (spl24_4 | ~spl24_83)), 2.77/0.71 inference(resolution,[],[f1986,f1373])). 2.77/0.71 tff(f1373,plain,( 2.77/0.71 $less(sK5,sK9) | ~spl24_83), 2.77/0.71 inference(avatar_component_clause,[],[f1372])). 2.77/0.71 tff(f2020,plain,( 2.77/0.71 spl24_96 | spl24_4 | ~spl24_82), 2.77/0.71 inference(avatar_split_clause,[],[f2006,f1368,f556,f2018])). 2.77/0.71 tff(f2018,plain,( 2.77/0.71 spl24_96 <=> $less(sK4,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_96])])). 2.77/0.71 tff(f1368,plain,( 2.77/0.71 spl24_82 <=> $less(sK4,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_82])])). 2.77/0.71 tff(f2006,plain,( 2.77/0.71 $less(sK4,sK3) | (spl24_4 | ~spl24_82)), 2.77/0.71 inference(resolution,[],[f1986,f1369])). 2.77/0.71 tff(f1369,plain,( 2.77/0.71 $less(sK4,sK9) | ~spl24_82), 2.77/0.71 inference(avatar_component_clause,[],[f1368])). 2.77/0.71 tff(f1993,plain,( 2.77/0.71 spl24_94 | ~spl24_95 | spl24_4), 2.77/0.71 inference(avatar_split_clause,[],[f1978,f556,f1991,f1988])). 2.77/0.71 tff(f1988,plain,( 2.77/0.71 spl24_94 <=> $less(sK9,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_94])])). 2.77/0.71 tff(f1978,plain,( 2.77/0.71 ~$less($sum(sK9,$uminus(sK3)),0) | $less(sK9,sK3) | spl24_4), 2.77/0.71 inference(superposition,[],[f460,f1183])). 2.77/0.71 tff(f460,plain,( 2.77/0.71 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4)) | $less(X4,X3)) )), 2.77/0.71 inference(cnf_transformation,[],[f248])). 2.77/0.71 tff(f248,plain,( 2.77/0.71 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : ((~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4)) & ~$less(occ1(X0,X1,X2,X3,X4),0)) | $less(X4,X3))), 2.77/0.71 inference(ennf_transformation,[],[f190])). 2.77/0.71 tff(f190,plain,( 2.77/0.71 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int,X4 : $int] : (~$less(X4,X3) => (~$less($sum(X4,$uminus(X3)),occ1(X0,X1,X2,X3,X4)) & ~$less(occ1(X0,X1,X2,X3,X4),0)))), 2.77/0.71 inference(rectify,[],[f100])). 2.77/0.71 tff(f100,plain,( 2.77/0.71 ! [X0 : ty,X3 : uni,X4 : uni,X5 : $int,X6 : $int] : (~$less(X6,X5) => (~$less($sum(X6,$uminus(X5)),occ1(X0,X3,X4,X5,X6)) & ~$less(occ1(X0,X3,X4,X5,X6),0)))), 2.77/0.71 inference(theory_normalization,[],[f84])). 2.77/0.71 tff(f84,axiom,( 2.77/0.71 ! [X0 : ty,X3 : uni,X4 : uni,X5 : $int,X6 : $int] : ($lesseq(X5,X6) => ($lesseq(occ1(X0,X3,X4,X5,X6),$difference(X6,X5)) & $lesseq(0,occ1(X0,X3,X4,X5,X6))))), 2.77/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occ_bounds)). 2.77/0.71 tff(f1531,plain,( 2.77/0.71 spl24_93 | ~spl24_18 | ~spl24_91), 2.77/0.71 inference(avatar_split_clause,[],[f1522,f1515,f620,f1529])). 2.77/0.71 tff(f1529,plain,( 2.77/0.71 spl24_93 <=> $less(-1,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_93])])). 2.77/0.71 tff(f620,plain,( 2.77/0.71 spl24_18 <=> $less(sK2,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_18])])). 2.77/0.71 tff(f1515,plain,( 2.77/0.71 spl24_91 <=> $less(-1,sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_91])])). 2.77/0.71 tff(f1522,plain,( 2.77/0.71 $less(-1,sK3) | (~spl24_18 | ~spl24_91)), 2.77/0.71 inference(resolution,[],[f1516,f869])). 2.77/0.71 tff(f869,plain,( 2.77/0.71 ( ! [X6 : $int] : (~$less(X6,sK2) | $less(X6,sK3)) ) | ~spl24_18), 2.77/0.71 inference(resolution,[],[f124,f621])). 2.77/0.71 tff(f621,plain,( 2.77/0.71 $less(sK2,sK3) | ~spl24_18), 2.77/0.71 inference(avatar_component_clause,[],[f620])). 2.77/0.71 tff(f1516,plain,( 2.77/0.71 $less(-1,sK2) | ~spl24_91), 2.77/0.71 inference(avatar_component_clause,[],[f1515])). 2.77/0.71 tff(f1527,plain,( 2.77/0.71 spl24_92 | ~spl24_66 | ~spl24_91), 2.77/0.71 inference(avatar_split_clause,[],[f1521,f1515,f965,f1525])). 2.77/0.71 tff(f1525,plain,( 2.77/0.71 spl24_92 <=> $less(-1,sK4)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_92])])). 2.77/0.71 tff(f1521,plain,( 2.77/0.71 $less(-1,sK4) | (~spl24_66 | ~spl24_91)), 2.77/0.71 inference(resolution,[],[f1516,f1003])). 2.77/0.71 tff(f1517,plain,( 2.77/0.71 spl24_90 | spl24_91 | spl24_48 | ~spl24_55), 2.77/0.71 inference(avatar_split_clause,[],[f1510,f857,f804,f1515,f1512])). 2.77/0.71 tff(f1512,plain,( 2.77/0.71 spl24_90 <=> get3(sK8,-1) = get3(sK7,sK10(-1))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_90])])). 2.77/0.71 tff(f857,plain,( 2.77/0.71 spl24_55 <=> $less(-1,sK5)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_55])])). 2.77/0.71 tff(f1510,plain,( 2.77/0.71 $less(sK5,sK5) | $less(-1,sK2) | get3(sK8,-1) = get3(sK7,sK10(-1)) | ~spl24_55), 2.77/0.71 inference(resolution,[],[f1055,f371])). 2.77/0.71 tff(f371,plain,( 2.77/0.71 ( ! [X11 : $int] : ($less(sK5,X11) | $less(X11,sK2) | get3(sK8,X11) = get3(sK7,sK10(X11))) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f1055,plain,( 2.77/0.71 ( ! [X0 : $int] : (~$less(X0,-1) | $less(X0,sK5)) ) | ~spl24_55), 2.77/0.71 inference(resolution,[],[f858,f124])). 2.77/0.71 tff(f858,plain,( 2.77/0.71 $less(-1,sK5) | ~spl24_55), 2.77/0.71 inference(avatar_component_clause,[],[f857])). 2.77/0.71 tff(f1411,plain,( 2.77/0.71 spl24_89 | ~spl24_2 | ~spl24_88), 2.77/0.71 inference(avatar_split_clause,[],[f1407,f1403,f548,f1409])). 2.77/0.71 tff(f1407,plain,( 2.77/0.71 $less(get3(sK7,sK9),get3(sK8,$sum(-1,sK6))) | (~spl24_2 | ~spl24_88)), 2.77/0.71 inference(backward_demodulation,[],[f549,f1404])). 2.77/0.71 tff(f1405,plain,( 2.77/0.71 spl24_88 | ~spl24_83), 2.77/0.71 inference(avatar_split_clause,[],[f1401,f1372,f1403])). 2.77/0.71 tff(f1401,plain,( 2.77/0.71 get3(sK8,sK9) = get3(sK7,sK9) | ~spl24_83), 2.77/0.71 inference(global_subsumption,[],[f375,f1398])). 2.77/0.71 tff(f1398,plain,( 2.77/0.71 get3(sK8,sK9) = get3(sK7,sK9) | $less(sK3,sK9) | ~spl24_83), 2.77/0.71 inference(resolution,[],[f1373,f368])). 2.77/0.71 tff(f1390,plain,( 2.77/0.71 spl24_87 | ~spl24_72 | ~spl24_78), 2.77/0.71 inference(avatar_split_clause,[],[f1358,f1226,f986,f1388])). 2.77/0.71 tff(f1388,plain,( 2.77/0.71 spl24_87 <=> $less(-1,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_87])])). 2.77/0.71 tff(f1226,plain,( 2.77/0.71 spl24_78 <=> $less(-1,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_78])])). 2.77/0.71 tff(f1358,plain,( 2.77/0.71 $less(-1,sK9) | (~spl24_72 | ~spl24_78)), 2.77/0.71 inference(resolution,[],[f1033,f1227])). 2.77/0.71 tff(f1227,plain,( 2.77/0.71 $less(-1,sK6) | ~spl24_78), 2.77/0.71 inference(avatar_component_clause,[],[f1226])). 2.77/0.71 tff(f1033,plain,( 2.77/0.71 ( ! [X0 : $int] : (~$less(X0,sK6) | $less(X0,sK9)) ) | ~spl24_72), 2.77/0.71 inference(resolution,[],[f987,f124])). 2.77/0.71 tff(f1386,plain,( 2.77/0.71 spl24_86 | ~spl24_43 | ~spl24_72), 2.77/0.71 inference(avatar_split_clause,[],[f1357,f986,f771,f1384])). 2.77/0.71 tff(f771,plain,( 2.77/0.71 spl24_43 <=> $less(sK10(sK5),sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_43])])). 2.77/0.71 tff(f1357,plain,( 2.77/0.71 $less(sK10(sK5),sK9) | (~spl24_43 | ~spl24_72)), 2.77/0.71 inference(resolution,[],[f1033,f772])). 2.77/0.71 tff(f772,plain,( 2.77/0.71 $less(sK10(sK5),sK6) | ~spl24_43), 2.77/0.71 inference(avatar_component_clause,[],[f771])). 2.77/0.71 tff(f1382,plain,( 2.77/0.71 spl24_85 | ~spl24_37 | ~spl24_72), 2.77/0.71 inference(avatar_split_clause,[],[f1356,f986,f731,f1380])). 2.77/0.71 tff(f731,plain,( 2.77/0.71 spl24_37 <=> $less(sK10(sK4),sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_37])])). 2.77/0.71 tff(f1356,plain,( 2.77/0.71 $less(sK10(sK4),sK9) | (~spl24_37 | ~spl24_72)), 2.77/0.71 inference(resolution,[],[f1033,f732])). 2.77/0.71 tff(f732,plain,( 2.77/0.71 $less(sK10(sK4),sK6) | ~spl24_37), 2.77/0.71 inference(avatar_component_clause,[],[f731])). 2.77/0.71 tff(f1378,plain,( 2.77/0.71 spl24_84 | ~spl24_30 | ~spl24_72), 2.77/0.71 inference(avatar_split_clause,[],[f1355,f986,f698,f1376])). 2.77/0.71 tff(f698,plain,( 2.77/0.71 spl24_30 <=> $less(sK10(sK2),sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_30])])). 2.77/0.71 tff(f1355,plain,( 2.77/0.71 $less(sK10(sK2),sK9) | (~spl24_30 | ~spl24_72)), 2.77/0.71 inference(resolution,[],[f1033,f699])). 2.77/0.71 tff(f699,plain,( 2.77/0.71 $less(sK10(sK2),sK6) | ~spl24_30), 2.77/0.71 inference(avatar_component_clause,[],[f698])). 2.77/0.71 tff(f1374,plain,( 2.77/0.71 spl24_83 | ~spl24_16 | ~spl24_72), 2.77/0.71 inference(avatar_split_clause,[],[f1353,f986,f610,f1372])). 2.77/0.71 tff(f610,plain,( 2.77/0.71 spl24_16 <=> $less(sK5,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_16])])). 2.77/0.71 tff(f1353,plain,( 2.77/0.71 $less(sK5,sK9) | (~spl24_16 | ~spl24_72)), 2.77/0.71 inference(resolution,[],[f1033,f611])). 2.77/0.71 tff(f611,plain,( 2.77/0.71 $less(sK5,sK6) | ~spl24_16), 2.77/0.71 inference(avatar_component_clause,[],[f610])). 2.77/0.71 tff(f1370,plain,( 2.77/0.71 spl24_82 | ~spl24_6 | ~spl24_72), 2.77/0.71 inference(avatar_split_clause,[],[f1352,f986,f565,f1368])). 2.77/0.71 tff(f565,plain,( 2.77/0.71 spl24_6 <=> $less(sK4,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_6])])). 2.77/0.71 tff(f1352,plain,( 2.77/0.71 $less(sK4,sK9) | (~spl24_6 | ~spl24_72)), 2.77/0.71 inference(resolution,[],[f1033,f566])). 2.77/0.71 tff(f566,plain,( 2.77/0.71 $less(sK4,sK6) | ~spl24_6), 2.77/0.71 inference(avatar_component_clause,[],[f565])). 2.77/0.71 tff(f1366,plain,( 2.77/0.71 spl24_81 | ~spl24_72 | ~spl24_75), 2.77/0.71 inference(avatar_split_clause,[],[f1351,f1160,f986,f1364])). 2.77/0.71 tff(f1364,plain,( 2.77/0.71 spl24_81 <=> $less(sK2,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_81])])). 2.77/0.71 tff(f1160,plain,( 2.77/0.71 spl24_75 <=> $less(sK2,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_75])])). 2.77/0.71 tff(f1351,plain,( 2.77/0.71 $less(sK2,sK9) | (~spl24_72 | ~spl24_75)), 2.77/0.71 inference(resolution,[],[f1033,f1161])). 2.77/0.71 tff(f1161,plain,( 2.77/0.71 $less(sK2,sK6) | ~spl24_75), 2.77/0.71 inference(avatar_component_clause,[],[f1160])). 2.77/0.71 tff(f1362,plain,( 2.77/0.71 spl24_80 | ~spl24_57 | ~spl24_72), 2.77/0.71 inference(avatar_split_clause,[],[f1350,f986,f863,f1360])). 2.77/0.71 tff(f1360,plain,( 2.77/0.71 spl24_80 <=> $less(0,sK9)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_80])])). 2.77/0.71 tff(f863,plain,( 2.77/0.71 spl24_57 <=> $less(0,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_57])])). 2.77/0.71 tff(f1350,plain,( 2.77/0.71 $less(0,sK9) | (~spl24_57 | ~spl24_72)), 2.77/0.71 inference(resolution,[],[f1033,f1223])). 2.77/0.71 tff(f1223,plain,( 2.77/0.71 $less(0,sK6) | ~spl24_57), 2.77/0.71 inference(avatar_component_clause,[],[f863])). 2.77/0.71 tff(f1276,plain,( 2.77/0.71 spl24_79 | ~spl24_64 | ~spl24_66), 2.77/0.71 inference(avatar_split_clause,[],[f1271,f965,f958,f1274])). 2.77/0.71 tff(f1274,plain,( 2.77/0.71 spl24_79 <=> $less(0,sK4)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_79])])). 2.77/0.71 tff(f958,plain,( 2.77/0.71 spl24_64 <=> $less(0,sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_64])])). 2.77/0.71 tff(f1271,plain,( 2.77/0.71 $less(0,sK4) | (~spl24_64 | ~spl24_66)), 2.77/0.71 inference(resolution,[],[f1003,f959])). 2.77/0.71 tff(f959,plain,( 2.77/0.71 $less(0,sK2) | ~spl24_64), 2.77/0.71 inference(avatar_component_clause,[],[f958])). 2.77/0.71 tff(f1228,plain,( 2.77/0.71 spl24_78 | ~spl24_16 | ~spl24_55), 2.77/0.71 inference(avatar_split_clause,[],[f1222,f857,f610,f1226])). 2.77/0.71 tff(f1222,plain,( 2.77/0.71 $less(-1,sK6) | (~spl24_16 | ~spl24_55)), 2.77/0.71 inference(resolution,[],[f874,f858])). 2.77/0.71 tff(f874,plain,( 2.77/0.71 ( ! [X12 : $int] : (~$less(X12,sK5) | $less(X12,sK6)) ) | ~spl24_16), 2.77/0.71 inference(resolution,[],[f124,f611])). 2.77/0.71 tff(f1224,plain,( 2.77/0.71 spl24_57 | ~spl24_16 | ~spl24_52), 2.77/0.71 inference(avatar_split_clause,[],[f1218,f847,f610,f863])). 2.77/0.71 tff(f847,plain,( 2.77/0.71 spl24_52 <=> $less(0,sK5)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_52])])). 2.77/0.71 tff(f1218,plain,( 2.77/0.71 $less(0,sK6) | (~spl24_16 | ~spl24_52)), 2.77/0.71 inference(resolution,[],[f874,f848])). 2.77/0.71 tff(f848,plain,( 2.77/0.71 $less(0,sK5) | ~spl24_52), 2.77/0.71 inference(avatar_component_clause,[],[f847])). 2.77/0.71 tff(f1212,plain,( 2.77/0.71 spl24_77 | ~spl24_11 | ~spl24_55), 2.77/0.71 inference(avatar_split_clause,[],[f1204,f857,f588,f1210])). 2.77/0.71 tff(f1210,plain,( 2.77/0.71 spl24_77 <=> $less(-1,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_77])])). 2.77/0.71 tff(f588,plain,( 2.77/0.71 spl24_11 <=> $less(sK5,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_11])])). 2.77/0.71 tff(f1204,plain,( 2.77/0.71 $less(-1,sK0) | (~spl24_11 | ~spl24_55)), 2.77/0.71 inference(resolution,[],[f873,f858])). 2.77/0.71 tff(f873,plain,( 2.77/0.71 ( ! [X11 : $int] : (~$less(X11,sK5) | $less(X11,sK0)) ) | ~spl24_11), 2.77/0.71 inference(resolution,[],[f124,f589])). 2.77/0.71 tff(f589,plain,( 2.77/0.71 $less(sK5,sK0) | ~spl24_11), 2.77/0.71 inference(avatar_component_clause,[],[f588])). 2.77/0.71 tff(f1208,plain,( 2.77/0.71 spl24_76 | ~spl24_11 | ~spl24_70), 2.77/0.71 inference(avatar_split_clause,[],[f1202,f979,f588,f1206])). 2.77/0.71 tff(f1206,plain,( 2.77/0.71 spl24_76 <=> $less(sK4,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_76])])). 2.77/0.71 tff(f979,plain,( 2.77/0.71 spl24_70 <=> $less(sK4,sK5)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_70])])). 2.77/0.71 tff(f1202,plain,( 2.77/0.71 $less(sK4,sK0) | (~spl24_11 | ~spl24_70)), 2.77/0.71 inference(resolution,[],[f873,f980])). 2.77/0.71 tff(f980,plain,( 2.77/0.71 $less(sK4,sK5) | ~spl24_70), 2.77/0.71 inference(avatar_component_clause,[],[f979])). 2.77/0.71 tff(f1162,plain,( 2.77/0.71 spl24_75 | ~spl24_6 | ~spl24_66), 2.77/0.71 inference(avatar_split_clause,[],[f1157,f965,f565,f1160])). 2.77/0.71 tff(f1157,plain,( 2.77/0.71 $less(sK2,sK6) | (~spl24_6 | ~spl24_66)), 2.77/0.71 inference(resolution,[],[f871,f966])). 2.77/0.71 tff(f871,plain,( 2.77/0.71 ( ! [X8 : $int] : (~$less(X8,sK4) | $less(X8,sK6)) ) | ~spl24_6), 2.77/0.71 inference(resolution,[],[f124,f566])). 2.77/0.71 tff(f1129,plain,( 2.77/0.71 spl24_74 | ~spl24_18 | ~spl24_19), 2.77/0.71 inference(avatar_split_clause,[],[f1124,f624,f620,f1127])). 2.77/0.71 tff(f1127,plain,( 2.77/0.71 spl24_74 <=> $less(sK2,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_74])])). 2.77/0.71 tff(f1124,plain,( 2.77/0.71 $less(sK2,sK0) | (~spl24_18 | ~spl24_19)), 2.77/0.71 inference(resolution,[],[f870,f621])). 2.77/0.71 tff(f1094,plain,( 2.77/0.71 spl24_73 | ~spl24_18 | ~spl24_64), 2.77/0.71 inference(avatar_split_clause,[],[f1089,f958,f620,f1092])). 2.77/0.71 tff(f1092,plain,( 2.77/0.71 spl24_73 <=> $less(0,sK3)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_73])])). 2.77/0.71 tff(f1089,plain,( 2.77/0.71 $less(0,sK3) | (~spl24_18 | ~spl24_64)), 2.77/0.71 inference(resolution,[],[f869,f959])). 2.77/0.71 tff(f998,plain,( 2.77/0.71 spl24_70 | ~spl24_38 | ~spl24_49), 2.77/0.71 inference(avatar_split_clause,[],[f997,f810,f734,f979])). 2.77/0.71 tff(f734,plain,( 2.77/0.71 spl24_38 <=> $less(get3(sK8,sK4),42)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_38])])). 2.77/0.71 tff(f810,plain,( 2.77/0.71 spl24_49 <=> 42 = get3(sK8,sK5)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_49])])). 2.77/0.71 tff(f997,plain,( 2.77/0.71 ~$less(get3(sK8,sK4),42) | $less(sK4,sK5) | ~spl24_49), 2.77/0.71 inference(global_subsumption,[],[f351,f822])). 2.77/0.71 tff(f822,plain,( 2.77/0.71 ~$less(get3(sK8,sK4),42) | $less(sK4,sK5) | $less(sK5,sK2) | ~spl24_49), 2.77/0.71 inference(superposition,[],[f364,f811])). 2.77/0.71 tff(f811,plain,( 2.77/0.71 42 = get3(sK8,sK5) | ~spl24_49), 2.77/0.71 inference(avatar_component_clause,[],[f810])). 2.77/0.71 tff(f996,plain,( 2.77/0.71 spl24_71 | spl24_72 | spl24_3), 2.77/0.71 inference(avatar_split_clause,[],[f932,f552,f986,f983])). 2.77/0.71 tff(f983,plain,( 2.77/0.71 spl24_71 <=> sK6 = sK9), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_71])])). 2.77/0.71 tff(f552,plain,( 2.77/0.71 spl24_3 <=> $less(sK9,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_3])])). 2.77/0.71 tff(f932,plain,( 2.77/0.71 $less(sK6,sK9) | sK6 = sK9 | spl24_3), 2.77/0.71 inference(resolution,[],[f125,f553])). 2.77/0.71 tff(f553,plain,( 2.77/0.71 ~$less(sK9,sK6) | spl24_3), 2.77/0.71 inference(avatar_component_clause,[],[f552])). 2.77/0.71 tff(f995,plain,( 2.77/0.71 spl24_69 | spl24_70 | spl24_10), 2.77/0.71 inference(avatar_split_clause,[],[f930,f584,f979,f976])). 2.77/0.71 tff(f976,plain,( 2.77/0.71 spl24_69 <=> sK4 = sK5), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_69])])). 2.77/0.71 tff(f584,plain,( 2.77/0.71 spl24_10 <=> $less(sK5,sK4)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_10])])). 2.77/0.71 tff(f930,plain,( 2.77/0.71 $less(sK4,sK5) | sK4 = sK5 | spl24_10), 2.77/0.71 inference(resolution,[],[f125,f585])). 2.77/0.71 tff(f585,plain,( 2.77/0.71 ~$less(sK5,sK4) | spl24_10), 2.77/0.71 inference(avatar_component_clause,[],[f584])). 2.77/0.71 tff(f994,plain,( 2.77/0.71 spl24_67 | spl24_68 | spl24_17), 2.77/0.71 inference(avatar_split_clause,[],[f929,f614,f972,f969])). 2.77/0.71 tff(f969,plain,( 2.77/0.71 spl24_67 <=> sK2 = sK5), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_67])])). 2.77/0.71 tff(f614,plain,( 2.77/0.71 spl24_17 <=> $less(sK5,sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_17])])). 2.77/0.71 tff(f929,plain,( 2.77/0.71 $less(sK2,sK5) | sK2 = sK5 | spl24_17), 2.77/0.71 inference(resolution,[],[f125,f615])). 2.77/0.71 tff(f615,plain,( 2.77/0.71 ~$less(sK5,sK2) | spl24_17), 2.77/0.71 inference(avatar_component_clause,[],[f614])). 2.77/0.71 tff(f993,plain,( 2.77/0.71 spl24_65 | spl24_66 | spl24_12), 2.77/0.71 inference(avatar_split_clause,[],[f926,f592,f965,f962])). 2.77/0.71 tff(f962,plain,( 2.77/0.71 spl24_65 <=> sK2 = sK4), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_65])])). 2.77/0.71 tff(f592,plain,( 2.77/0.71 spl24_12 <=> $less(sK4,sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_12])])). 2.77/0.71 tff(f926,plain,( 2.77/0.71 $less(sK2,sK4) | sK2 = sK4 | spl24_12), 2.77/0.71 inference(resolution,[],[f125,f593])). 2.77/0.71 tff(f593,plain,( 2.77/0.71 ~$less(sK4,sK2) | spl24_12), 2.77/0.71 inference(avatar_component_clause,[],[f592])). 2.77/0.71 tff(f992,plain,( 2.77/0.71 spl24_63 | spl24_64 | spl24_13), 2.77/0.71 inference(avatar_split_clause,[],[f922,f596,f958,f955])). 2.77/0.71 tff(f955,plain,( 2.77/0.71 spl24_63 <=> 0 = sK2), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_63])])). 2.77/0.71 tff(f596,plain,( 2.77/0.71 spl24_13 <=> $less(sK2,0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_13])])). 2.77/0.71 tff(f922,plain,( 2.77/0.71 $less(0,sK2) | 0 = sK2 | spl24_13), 2.77/0.71 inference(resolution,[],[f125,f597])). 2.77/0.71 tff(f597,plain,( 2.77/0.71 ~$less(sK2,0) | spl24_13), 2.77/0.71 inference(avatar_component_clause,[],[f596])). 2.77/0.71 tff(f991,plain,( 2.77/0.71 spl24_61 | spl24_62 | spl24_9), 2.77/0.71 inference(avatar_split_clause,[],[f920,f580,f951,f948])). 2.77/0.71 tff(f948,plain,( 2.77/0.71 spl24_61 <=> 0 = sK0), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_61])])). 2.77/0.71 tff(f951,plain,( 2.77/0.71 spl24_62 <=> $less(0,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_62])])). 2.77/0.71 tff(f580,plain,( 2.77/0.71 spl24_9 <=> $less(sK0,0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_9])])). 2.77/0.71 tff(f920,plain,( 2.77/0.71 $less(0,sK0) | 0 = sK0 | spl24_9), 2.77/0.71 inference(resolution,[],[f125,f581])). 2.77/0.71 tff(f581,plain,( 2.77/0.71 ~$less(sK0,0) | spl24_9), 2.77/0.71 inference(avatar_component_clause,[],[f580])). 2.77/0.71 tff(f990,plain,( 2.77/0.71 spl24_59 | spl24_60 | spl24_51), 2.77/0.71 inference(avatar_split_clause,[],[f911,f825,f944,f941])). 2.77/0.71 tff(f941,plain,( 2.77/0.71 spl24_59 <=> 42 = get3(sK8,$sum(1,sK5))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_59])])). 2.77/0.71 tff(f944,plain,( 2.77/0.71 spl24_60 <=> $less(42,get3(sK8,$sum(1,sK5)))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_60])])). 2.77/0.71 tff(f825,plain,( 2.77/0.71 spl24_51 <=> $less(get3(sK8,$sum(1,sK5)),42)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_51])])). 2.77/0.71 tff(f911,plain,( 2.77/0.71 $less(42,get3(sK8,$sum(1,sK5))) | 42 = get3(sK8,$sum(1,sK5)) | spl24_51), 2.77/0.71 inference(resolution,[],[f125,f826])). 2.77/0.71 tff(f826,plain,( 2.77/0.71 ~$less(get3(sK8,$sum(1,sK5)),42) | spl24_51), 2.77/0.71 inference(avatar_component_clause,[],[f825])). 2.77/0.71 tff(f989,plain,( 2.77/0.71 spl24_58 | spl24_41 | spl24_38), 2.77/0.71 inference(avatar_split_clause,[],[f910,f734,f744,f936])). 2.77/0.71 tff(f936,plain,( 2.77/0.71 spl24_58 <=> 42 = get3(sK8,sK4)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_58])])). 2.77/0.71 tff(f744,plain,( 2.77/0.71 spl24_41 <=> $less(42,get3(sK8,sK4))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_41])])). 2.77/0.71 tff(f910,plain,( 2.77/0.71 $less(42,get3(sK8,sK4)) | 42 = get3(sK8,sK4) | spl24_38), 2.77/0.71 inference(resolution,[],[f125,f735])). 2.77/0.71 tff(f735,plain,( 2.77/0.71 ~$less(get3(sK8,sK4),42) | spl24_38), 2.77/0.71 inference(avatar_component_clause,[],[f734])). 2.77/0.71 tff(f988,plain,( 2.77/0.71 spl24_71 | spl24_72 | spl24_3), 2.77/0.71 inference(avatar_split_clause,[],[f904,f552,f986,f983])). 2.77/0.71 tff(f904,plain,( 2.77/0.71 $less(sK6,sK9) | sK6 = sK9 | spl24_3), 2.77/0.71 inference(resolution,[],[f125,f553])). 2.77/0.71 tff(f981,plain,( 2.77/0.71 spl24_69 | spl24_70 | spl24_10), 2.77/0.71 inference(avatar_split_clause,[],[f902,f584,f979,f976])). 2.77/0.71 tff(f902,plain,( 2.77/0.71 $less(sK4,sK5) | sK4 = sK5 | spl24_10), 2.77/0.71 inference(resolution,[],[f125,f585])). 2.77/0.71 tff(f974,plain,( 2.77/0.71 spl24_67 | spl24_68 | spl24_17), 2.77/0.71 inference(avatar_split_clause,[],[f901,f614,f972,f969])). 2.77/0.71 tff(f901,plain,( 2.77/0.71 $less(sK2,sK5) | sK2 = sK5 | spl24_17), 2.77/0.71 inference(resolution,[],[f125,f615])). 2.77/0.71 tff(f967,plain,( 2.77/0.71 spl24_65 | spl24_66 | spl24_12), 2.77/0.71 inference(avatar_split_clause,[],[f898,f592,f965,f962])). 2.77/0.71 tff(f898,plain,( 2.77/0.71 $less(sK2,sK4) | sK2 = sK4 | spl24_12), 2.77/0.71 inference(resolution,[],[f125,f593])). 2.77/0.71 tff(f960,plain,( 2.77/0.71 spl24_63 | spl24_64 | spl24_13), 2.77/0.71 inference(avatar_split_clause,[],[f894,f596,f958,f955])). 2.77/0.71 tff(f894,plain,( 2.77/0.71 $less(0,sK2) | 0 = sK2 | spl24_13), 2.77/0.71 inference(resolution,[],[f125,f597])). 2.77/0.71 tff(f953,plain,( 2.77/0.71 spl24_61 | spl24_62 | spl24_9), 2.77/0.71 inference(avatar_split_clause,[],[f892,f580,f951,f948])). 2.77/0.71 tff(f892,plain,( 2.77/0.71 $less(0,sK0) | 0 = sK0 | spl24_9), 2.77/0.71 inference(resolution,[],[f125,f581])). 2.77/0.71 tff(f946,plain,( 2.77/0.71 spl24_59 | spl24_60 | spl24_51), 2.77/0.71 inference(avatar_split_clause,[],[f883,f825,f944,f941])). 2.77/0.71 tff(f883,plain,( 2.77/0.71 $less(42,get3(sK8,$sum(1,sK5))) | 42 = get3(sK8,$sum(1,sK5)) | spl24_51), 2.77/0.71 inference(resolution,[],[f125,f826])). 2.77/0.71 tff(f939,plain,( 2.77/0.71 spl24_58 | spl24_41 | spl24_38), 2.77/0.71 inference(avatar_split_clause,[],[f882,f734,f744,f936])). 2.77/0.71 tff(f882,plain,( 2.77/0.71 $less(42,get3(sK8,sK4)) | 42 = get3(sK8,sK4) | spl24_38), 2.77/0.71 inference(resolution,[],[f125,f735])). 2.77/0.71 tff(f865,plain,( 2.77/0.71 spl24_55 | spl24_56 | ~spl24_57), 2.77/0.71 inference(avatar_split_clause,[],[f845,f863,f860,f857])). 2.77/0.71 tff(f860,plain,( 2.77/0.71 spl24_56 <=> 42 = get3(sK7,0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_56])])). 2.77/0.71 tff(f845,plain,( 2.77/0.71 ~$less(0,sK6) | 42 = get3(sK7,0) | $less(-1,sK5)), 2.77/0.71 inference(evaluation,[],[f842])). 2.77/0.71 tff(f842,plain,( 2.77/0.71 ~$less(0,sK6) | 42 = get3(sK7,0) | $less($uminus(1),sK5)), 2.77/0.71 inference(superposition,[],[f839,f122])). 2.77/0.71 tff(f122,plain,( 2.77/0.71 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )), 2.77/0.71 introduced(theory_axiom_144,[])). 2.77/0.71 tff(f839,plain,( 2.77/0.71 ( ! [X0 : $int] : (~$less($sum(1,X0),sK6) | 42 = get3(sK7,$sum(1,X0)) | $less(X0,sK5)) )), 2.77/0.71 inference(superposition,[],[f832,f118])). 2.77/0.71 tff(f832,plain,( 2.77/0.71 ( ! [X2 : $int] : (~$less($sum(X2,1),sK6) | 42 = get3(sK7,$sum(X2,1)) | $less(X2,sK5)) )), 2.77/0.71 inference(resolution,[],[f127,f355])). 2.77/0.71 tff(f127,plain,( 2.77/0.71 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 2.77/0.71 introduced(theory_axiom_151,[])). 2.77/0.71 tff(f855,plain,( 2.77/0.71 spl24_52 | spl24_53 | ~spl24_54), 2.77/0.71 inference(avatar_split_clause,[],[f841,f853,f850,f847])). 2.77/0.71 tff(f850,plain,( 2.77/0.71 spl24_53 <=> 42 = get3(sK7,1)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_53])])). 2.77/0.71 tff(f853,plain,( 2.77/0.71 spl24_54 <=> $less(1,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_54])])). 2.77/0.71 tff(f841,plain,( 2.77/0.71 ~$less(1,sK6) | 42 = get3(sK7,1) | $less(0,sK5)), 2.77/0.71 inference(superposition,[],[f839,f120])). 2.77/0.71 tff(f120,plain,( 2.77/0.71 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 2.77/0.71 introduced(theory_axiom_141,[])). 2.77/0.71 tff(f827,plain,( 2.77/0.71 spl24_48 | ~spl24_51 | ~spl24_49), 2.77/0.71 inference(avatar_split_clause,[],[f823,f810,f825,f804])). 2.77/0.71 tff(f823,plain,( 2.77/0.71 ~$less(get3(sK8,$sum(1,sK5)),42) | $less(sK5,sK5) | ~spl24_49), 2.77/0.71 inference(global_subsumption,[],[f351,f820])). 2.77/0.71 tff(f820,plain,( 2.77/0.71 ~$less(get3(sK8,$sum(1,sK5)),42) | $less(sK5,sK2) | $less(sK5,sK5) | ~spl24_49), 2.77/0.71 inference(superposition,[],[f568,f811])). 2.77/0.71 tff(f818,plain,( 2.77/0.71 spl24_50 | ~spl24_28 | ~spl24_49), 2.77/0.71 inference(avatar_split_clause,[],[f814,f810,f685,f816])). 2.77/0.71 tff(f816,plain,( 2.77/0.71 spl24_50 <=> 42 = get3(sK7,sK10(sK5))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_50])])). 2.77/0.71 tff(f685,plain,( 2.77/0.71 spl24_28 <=> get3(sK8,sK5) = get3(sK7,sK10(sK5))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_28])])). 2.77/0.71 tff(f814,plain,( 2.77/0.71 42 = get3(sK7,sK10(sK5)) | (~spl24_28 | ~spl24_49)), 2.77/0.71 inference(backward_demodulation,[],[f686,f811])). 2.77/0.71 tff(f686,plain,( 2.77/0.71 get3(sK8,sK5) = get3(sK7,sK10(sK5)) | ~spl24_28), 2.77/0.71 inference(avatar_component_clause,[],[f685])). 2.77/0.71 tff(f812,plain,( 2.77/0.71 ~spl24_43 | spl24_49 | ~spl24_28 | ~spl24_45), 2.77/0.71 inference(avatar_split_clause,[],[f807,f778,f685,f810,f771])). 2.77/0.71 tff(f778,plain,( 2.77/0.71 spl24_45 <=> $less(sK5,sK10(sK5))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_45])])). 2.77/0.71 tff(f807,plain,( 2.77/0.71 42 = get3(sK8,sK5) | ~$less(sK10(sK5),sK6) | (~spl24_28 | ~spl24_45)), 2.77/0.71 inference(forward_demodulation,[],[f801,f686])). 2.77/0.71 tff(f801,plain,( 2.77/0.71 42 = get3(sK7,sK10(sK5)) | ~$less(sK10(sK5),sK6) | ~spl24_45), 2.77/0.71 inference(resolution,[],[f779,f355])). 2.77/0.71 tff(f779,plain,( 2.77/0.71 $less(sK5,sK10(sK5)) | ~spl24_45), 2.77/0.71 inference(avatar_component_clause,[],[f778])). 2.77/0.71 tff(f806,plain,( 2.77/0.71 spl24_48 | ~spl24_45), 2.77/0.71 inference(avatar_split_clause,[],[f802,f778,f804])). 2.77/0.71 tff(f802,plain,( 2.77/0.71 $less(sK5,sK5) | ~spl24_45), 2.77/0.71 inference(global_subsumption,[],[f351,f799])). 2.77/0.71 tff(f799,plain,( 2.77/0.71 $less(sK5,sK2) | $less(sK5,sK5) | ~spl24_45), 2.77/0.71 inference(resolution,[],[f779,f370])). 2.77/0.71 tff(f370,plain,( 2.77/0.71 ( ! [X11 : $int] : (~$less(sK5,sK10(X11)) | $less(X11,sK2) | $less(sK5,X11)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f786,plain,( 2.77/0.71 spl24_45 | spl24_46 | ~spl24_47 | ~spl24_28), 2.77/0.71 inference(avatar_split_clause,[],[f766,f685,f784,f781,f778])). 2.77/0.71 tff(f784,plain,( 2.77/0.71 spl24_47 <=> $less(42,get3(sK8,sK5))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_47])])). 2.77/0.71 tff(f766,plain,( 2.77/0.71 ~$less(42,get3(sK8,sK5)) | $less(sK10(sK5),sK2) | $less(sK5,sK10(sK5)) | ~spl24_28), 2.77/0.71 inference(superposition,[],[f354,f686])). 2.77/0.71 tff(f354,plain,( 2.77/0.71 ( ! [X18 : $int] : (~$less(42,get3(sK7,X18)) | $less(X18,sK2) | $less(sK5,X18)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f776,plain,( 2.77/0.71 spl24_42 | spl24_43 | ~spl24_44 | ~spl24_28), 2.77/0.71 inference(avatar_split_clause,[],[f765,f685,f774,f771,f768])). 2.77/0.71 tff(f768,plain,( 2.77/0.71 spl24_42 <=> $less(sK3,sK10(sK5))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_42])])). 2.77/0.71 tff(f774,plain,( 2.77/0.71 spl24_44 <=> $less(get3(sK8,sK5),42)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_44])])). 2.77/0.71 tff(f765,plain,( 2.77/0.71 ~$less(get3(sK8,sK5),42) | $less(sK10(sK5),sK6) | $less(sK3,sK10(sK5)) | ~spl24_28), 2.77/0.71 inference(superposition,[],[f356,f686])). 2.77/0.71 tff(f759,plain,( 2.77/0.71 ~spl24_40), 2.77/0.71 inference(avatar_contradiction_clause,[],[f758])). 2.77/0.71 tff(f758,plain,( 2.77/0.71 $false | ~spl24_40), 2.77/0.71 inference(global_subsumption,[],[f358,f341,f757])). 2.77/0.71 tff(f757,plain,( 2.77/0.71 $less(sK4,sK2) | $less(sK5,sK4) | ~spl24_40), 2.77/0.71 inference(resolution,[],[f742,f369])). 2.77/0.71 tff(f742,plain,( 2.77/0.71 $less(sK10(sK4),sK2) | ~spl24_40), 2.77/0.71 inference(avatar_component_clause,[],[f741])). 2.77/0.71 tff(f741,plain,( 2.77/0.71 spl24_40 <=> $less(sK10(sK4),sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_40])])). 2.77/0.71 tff(f341,plain,( 2.77/0.71 ~$less(sK4,sK2)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f358,plain,( 2.77/0.71 ~$less(sK5,sK4)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f754,plain,( 2.77/0.71 ~spl24_27 | ~spl24_39), 2.77/0.71 inference(avatar_contradiction_clause,[],[f753])). 2.77/0.71 tff(f753,plain,( 2.77/0.71 $false | (~spl24_27 | ~spl24_39)), 2.77/0.71 inference(global_subsumption,[],[f358,f341,f747])). 2.77/0.71 tff(f747,plain,( 2.77/0.71 $less(sK4,sK2) | $less(sK5,sK4) | ~spl24_39), 2.77/0.71 inference(resolution,[],[f739,f370])). 2.77/0.71 tff(f739,plain,( 2.77/0.71 $less(sK5,sK10(sK4)) | ~spl24_39), 2.77/0.71 inference(avatar_component_clause,[],[f738])). 2.77/0.71 tff(f738,plain,( 2.77/0.71 spl24_39 <=> $less(sK5,sK10(sK4))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_39])])). 2.77/0.71 tff(f751,plain,( 2.77/0.71 ~spl24_39), 2.77/0.71 inference(avatar_contradiction_clause,[],[f750])). 2.77/0.71 tff(f750,plain,( 2.77/0.71 $false | ~spl24_39), 2.77/0.71 inference(global_subsumption,[],[f358,f341,f747])). 2.77/0.71 tff(f746,plain,( 2.77/0.71 spl24_39 | spl24_40 | ~spl24_41 | ~spl24_27), 2.77/0.71 inference(avatar_split_clause,[],[f726,f680,f744,f741,f738])). 2.77/0.71 tff(f680,plain,( 2.77/0.71 spl24_27 <=> get3(sK8,sK4) = get3(sK7,sK10(sK4))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_27])])). 2.77/0.71 tff(f726,plain,( 2.77/0.71 ~$less(42,get3(sK8,sK4)) | $less(sK10(sK4),sK2) | $less(sK5,sK10(sK4)) | ~spl24_27), 2.77/0.71 inference(superposition,[],[f354,f681])). 2.77/0.71 tff(f681,plain,( 2.77/0.71 get3(sK8,sK4) = get3(sK7,sK10(sK4)) | ~spl24_27), 2.77/0.71 inference(avatar_component_clause,[],[f680])). 2.77/0.71 tff(f736,plain,( 2.77/0.71 spl24_36 | spl24_37 | ~spl24_38 | ~spl24_27), 2.77/0.71 inference(avatar_split_clause,[],[f725,f680,f734,f731,f728])). 2.77/0.71 tff(f728,plain,( 2.77/0.71 spl24_36 <=> $less(sK3,sK10(sK4))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_36])])). 2.77/0.71 tff(f725,plain,( 2.77/0.71 ~$less(get3(sK8,sK4),42) | $less(sK10(sK4),sK6) | $less(sK3,sK10(sK4)) | ~spl24_27), 2.77/0.71 inference(superposition,[],[f356,f681])). 2.77/0.71 tff(f724,plain,( 2.77/0.71 ~spl24_30 | spl24_35 | ~spl24_25 | ~spl24_32), 2.77/0.71 inference(avatar_split_clause,[],[f719,f705,f672,f722,f698])). 2.77/0.71 tff(f722,plain,( 2.77/0.71 spl24_35 <=> 42 = get3(sK8,sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_35])])). 2.77/0.71 tff(f672,plain,( 2.77/0.71 spl24_25 <=> get3(sK8,sK2) = get3(sK7,sK10(sK2))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_25])])). 2.77/0.71 tff(f705,plain,( 2.77/0.71 spl24_32 <=> $less(sK5,sK10(sK2))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_32])])). 2.77/0.71 tff(f719,plain,( 2.77/0.71 42 = get3(sK8,sK2) | ~$less(sK10(sK2),sK6) | (~spl24_25 | ~spl24_32)), 2.77/0.71 inference(forward_demodulation,[],[f716,f673])). 2.77/0.71 tff(f673,plain,( 2.77/0.71 get3(sK8,sK2) = get3(sK7,sK10(sK2)) | ~spl24_25), 2.77/0.71 inference(avatar_component_clause,[],[f672])). 2.77/0.71 tff(f716,plain,( 2.77/0.71 42 = get3(sK7,sK10(sK2)) | ~$less(sK10(sK2),sK6) | ~spl24_32), 2.77/0.71 inference(resolution,[],[f706,f355])). 2.77/0.71 tff(f706,plain,( 2.77/0.71 $less(sK5,sK10(sK2)) | ~spl24_32), 2.77/0.71 inference(avatar_component_clause,[],[f705])). 2.77/0.71 tff(f718,plain,( 2.77/0.71 spl24_26 | ~spl24_32), 2.77/0.71 inference(avatar_split_clause,[],[f717,f705,f675])). 2.77/0.71 tff(f675,plain,( 2.77/0.71 spl24_26 <=> $less(sK2,sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_26])])). 2.77/0.71 tff(f717,plain,( 2.77/0.71 $less(sK2,sK2) | ~spl24_32), 2.77/0.71 inference(global_subsumption,[],[f351,f714])). 2.77/0.71 tff(f714,plain,( 2.77/0.71 $less(sK2,sK2) | $less(sK5,sK2) | ~spl24_32), 2.77/0.71 inference(resolution,[],[f706,f370])). 2.77/0.71 tff(f713,plain,( 2.77/0.71 spl24_32 | spl24_33 | ~spl24_34 | ~spl24_25), 2.77/0.71 inference(avatar_split_clause,[],[f693,f672,f711,f708,f705])). 2.77/0.71 tff(f708,plain,( 2.77/0.71 spl24_33 <=> $less(sK10(sK2),sK2)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_33])])). 2.77/0.71 tff(f711,plain,( 2.77/0.71 spl24_34 <=> $less(42,get3(sK8,sK2))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_34])])). 2.77/0.71 tff(f693,plain,( 2.77/0.71 ~$less(42,get3(sK8,sK2)) | $less(sK10(sK2),sK2) | $less(sK5,sK10(sK2)) | ~spl24_25), 2.77/0.71 inference(superposition,[],[f354,f673])). 2.77/0.71 tff(f703,plain,( 2.77/0.71 spl24_29 | spl24_30 | ~spl24_31 | ~spl24_25), 2.77/0.71 inference(avatar_split_clause,[],[f692,f672,f701,f698,f695])). 2.77/0.71 tff(f695,plain,( 2.77/0.71 spl24_29 <=> $less(sK3,sK10(sK2))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_29])])). 2.77/0.71 tff(f701,plain,( 2.77/0.71 spl24_31 <=> $less(get3(sK8,sK2),42)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_31])])). 2.77/0.71 tff(f692,plain,( 2.77/0.71 ~$less(get3(sK8,sK2),42) | $less(sK10(sK2),sK6) | $less(sK3,sK10(sK2)) | ~spl24_25), 2.77/0.71 inference(superposition,[],[f356,f673])). 2.77/0.71 tff(f687,plain,( 2.77/0.71 spl24_28), 2.77/0.71 inference(avatar_split_clause,[],[f683,f685])). 2.77/0.71 tff(f683,plain,( 2.77/0.71 get3(sK8,sK5) = get3(sK7,sK10(sK5))), 2.77/0.71 inference(global_subsumption,[],[f351,f664])). 2.77/0.71 tff(f664,plain,( 2.77/0.71 $less(sK5,sK2) | get3(sK8,sK5) = get3(sK7,sK10(sK5))), 2.77/0.71 inference(resolution,[],[f371,f123])). 2.77/0.71 tff(f682,plain,( 2.77/0.71 spl24_27 | spl24_10), 2.77/0.71 inference(avatar_split_clause,[],[f678,f584,f680])). 2.77/0.71 tff(f678,plain,( 2.77/0.71 get3(sK8,sK4) = get3(sK7,sK10(sK4)) | spl24_10), 2.77/0.71 inference(global_subsumption,[],[f341,f662])). 2.77/0.71 tff(f662,plain,( 2.77/0.71 $less(sK4,sK2) | get3(sK8,sK4) = get3(sK7,sK10(sK4)) | spl24_10), 2.77/0.71 inference(resolution,[],[f371,f585])). 2.77/0.71 tff(f677,plain,( 2.77/0.71 spl24_25 | spl24_26 | spl24_17), 2.77/0.71 inference(avatar_split_clause,[],[f661,f614,f675,f672])). 2.77/0.71 tff(f661,plain,( 2.77/0.71 $less(sK2,sK2) | get3(sK8,sK2) = get3(sK7,sK10(sK2)) | spl24_17), 2.77/0.71 inference(resolution,[],[f371,f615])). 2.77/0.71 tff(f658,plain,( 2.77/0.71 spl24_24 | ~spl24_16), 2.77/0.71 inference(avatar_split_clause,[],[f654,f610,f656])). 2.77/0.71 tff(f654,plain,( 2.77/0.71 get3(sK7,sK6) = get3(sK8,sK6) | ~spl24_16), 2.77/0.71 inference(global_subsumption,[],[f353,f653])). 2.77/0.71 tff(f653,plain,( 2.77/0.71 get3(sK7,sK6) = get3(sK8,sK6) | $less(sK3,sK6) | ~spl24_16), 2.77/0.71 inference(resolution,[],[f368,f611])). 2.77/0.71 tff(f648,plain,( 2.77/0.71 ~spl24_22 | spl24_23 | ~spl24_11), 2.77/0.71 inference(avatar_split_clause,[],[f640,f588,f646,f643])). 2.77/0.71 tff(f643,plain,( 2.77/0.71 spl24_22 <=> $less(sK0,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_22])])). 2.77/0.71 tff(f646,plain,( 2.77/0.71 spl24_23 <=> 42 = get3(sK7,sK0)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_23])])). 2.77/0.71 tff(f640,plain,( 2.77/0.71 42 = get3(sK7,sK0) | ~$less(sK0,sK6) | ~spl24_11), 2.77/0.71 inference(resolution,[],[f355,f589])). 2.77/0.71 tff(f639,plain,( 2.77/0.71 ~spl24_21), 2.77/0.71 inference(avatar_split_clause,[],[f378,f637])). 2.77/0.71 tff(f637,plain,( 2.77/0.71 spl24_21 <=> true1 = false1), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_21])])). 2.77/0.71 tff(f378,plain,( 2.77/0.71 true1 != false1), 2.77/0.71 inference(cnf_transformation,[],[f9])). 2.77/0.71 tff(f9,axiom,( 2.77/0.71 true1 != false1), 2.77/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 2.77/0.71 tff(f635,plain,( 2.77/0.71 ~spl24_12), 2.77/0.71 inference(avatar_split_clause,[],[f341,f592])). 2.77/0.71 tff(f634,plain,( 2.77/0.71 spl24_19), 2.77/0.71 inference(avatar_split_clause,[],[f342,f624])). 2.77/0.71 tff(f342,plain,( 2.77/0.71 $less(sK3,sK0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f633,plain,( 2.77/0.71 ~spl24_20), 2.77/0.71 inference(avatar_split_clause,[],[f343,f631])). 2.77/0.71 tff(f631,plain,( 2.77/0.71 spl24_20 <=> $less(sK3,sK4)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_20])])). 2.77/0.71 tff(f343,plain,( 2.77/0.71 ~$less(sK3,sK4)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f629,plain,( 2.77/0.71 ~spl24_13), 2.77/0.71 inference(avatar_split_clause,[],[f344,f596])). 2.77/0.71 tff(f344,plain,( 2.77/0.71 ~$less(sK2,0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f628,plain,( 2.77/0.71 ~spl24_9), 2.77/0.71 inference(avatar_split_clause,[],[f345,f580])). 2.77/0.71 tff(f345,plain,( 2.77/0.71 ~$less(sK0,0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f627,plain,( 2.77/0.71 spl24_18), 2.77/0.71 inference(avatar_split_clause,[],[f346,f620])). 2.77/0.71 tff(f346,plain,( 2.77/0.71 $less(sK2,sK3)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f626,plain,( 2.77/0.71 spl24_19), 2.77/0.71 inference(avatar_split_clause,[],[f347,f624])). 2.77/0.71 tff(f347,plain,( 2.77/0.71 $less(sK3,sK0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f622,plain,( 2.77/0.71 spl24_18), 2.77/0.71 inference(avatar_split_clause,[],[f348,f620])). 2.77/0.71 tff(f348,plain,( 2.77/0.71 $less(sK2,sK3)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f618,plain,( 2.77/0.71 ~spl24_13), 2.77/0.71 inference(avatar_split_clause,[],[f349,f596])). 2.77/0.71 tff(f349,plain,( 2.77/0.71 ~$less(sK2,0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f617,plain,( 2.77/0.71 ~spl24_9), 2.77/0.71 inference(avatar_split_clause,[],[f350,f580])). 2.77/0.71 tff(f350,plain,( 2.77/0.71 ~$less(sK0,0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f616,plain,( 2.77/0.71 ~spl24_17), 2.77/0.71 inference(avatar_split_clause,[],[f351,f614])). 2.77/0.71 tff(f612,plain,( 2.77/0.71 spl24_16), 2.77/0.71 inference(avatar_split_clause,[],[f352,f610])). 2.77/0.71 tff(f352,plain,( 2.77/0.71 $less(sK5,sK6)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f608,plain,( 2.77/0.71 ~spl24_15), 2.77/0.71 inference(avatar_split_clause,[],[f353,f606])). 2.77/0.71 tff(f606,plain,( 2.77/0.71 spl24_15 <=> $less(sK3,sK6)), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_15])])). 2.77/0.71 tff(f604,plain,( 2.77/0.71 spl24_14), 2.77/0.71 inference(avatar_split_clause,[],[f600,f602])). 2.77/0.71 tff(f602,plain,( 2.77/0.71 spl24_14 <=> permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(1,sK3))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_14])])). 2.77/0.71 tff(f600,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(1,sK3))), 2.77/0.71 inference(forward_demodulation,[],[f357,f118])). 2.77/0.71 tff(f357,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK1),mk_array3(sK0,sK7),sK2,$sum(sK3,1))), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f599,plain,( 2.77/0.71 ~spl24_10), 2.77/0.71 inference(avatar_split_clause,[],[f358,f584])). 2.77/0.71 tff(f598,plain,( 2.77/0.71 ~spl24_13), 2.77/0.71 inference(avatar_split_clause,[],[f359,f596])). 2.77/0.71 tff(f359,plain,( 2.77/0.71 ~$less(sK2,0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f594,plain,( 2.77/0.71 ~spl24_12), 2.77/0.71 inference(avatar_split_clause,[],[f360,f592])). 2.77/0.71 tff(f360,plain,( 2.77/0.71 ~$less(sK4,sK2)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f590,plain,( 2.77/0.71 spl24_11), 2.77/0.71 inference(avatar_split_clause,[],[f361,f588])). 2.77/0.71 tff(f361,plain,( 2.77/0.71 $less(sK5,sK0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f586,plain,( 2.77/0.71 ~spl24_10), 2.77/0.71 inference(avatar_split_clause,[],[f362,f584])). 2.77/0.71 tff(f362,plain,( 2.77/0.71 ~$less(sK5,sK4)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f582,plain,( 2.77/0.71 ~spl24_9), 2.77/0.71 inference(avatar_split_clause,[],[f363,f580])). 2.77/0.71 tff(f363,plain,( 2.77/0.71 ~$less(sK0,0)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f578,plain,( 2.77/0.71 spl24_8), 2.77/0.71 inference(avatar_split_clause,[],[f574,f576])). 2.77/0.71 tff(f576,plain,( 2.77/0.71 spl24_8 <=> permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(1,sK5))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_8])])). 2.77/0.71 tff(f574,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(1,sK5))), 2.77/0.71 inference(forward_demodulation,[],[f366,f118])). 2.77/0.71 tff(f366,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK5,1))), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f573,plain,( 2.77/0.71 spl24_7), 2.77/0.71 inference(avatar_split_clause,[],[f569,f571])). 2.77/0.71 tff(f571,plain,( 2.77/0.71 spl24_7 <=> permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(1,sK3))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_7])])). 2.77/0.71 tff(f569,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(1,sK3))), 2.77/0.71 inference(forward_demodulation,[],[f367,f118])). 2.77/0.71 tff(f367,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK7),mk_array3(sK0,sK8),sK2,$sum(sK3,1))), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f567,plain,( 2.77/0.71 spl24_6), 2.77/0.71 inference(avatar_split_clause,[],[f373,f565])). 2.77/0.71 tff(f373,plain,( 2.77/0.71 $less(sK4,sK6)), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f563,plain,( 2.77/0.71 spl24_5), 2.77/0.71 inference(avatar_split_clause,[],[f559,f561])). 2.77/0.71 tff(f561,plain,( 2.77/0.71 spl24_5 <=> permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(1,sK3))), 2.77/0.71 introduced(avatar_definition,[new_symbols(naming,[spl24_5])])). 2.77/0.71 tff(f559,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(1,sK3))), 2.77/0.71 inference(forward_demodulation,[],[f374,f118])). 2.77/0.71 tff(f374,plain,( 2.77/0.71 permut_sub3(mk_array3(sK0,sK8),mk_array3(sK0,sK8),sK2,$sum(sK3,1))), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 tff(f558,plain,( 2.77/0.71 ~spl24_4), 2.77/0.71 inference(avatar_split_clause,[],[f375,f556])). 2.77/0.71 tff(f554,plain,( 2.77/0.71 ~spl24_3), 2.77/0.71 inference(avatar_split_clause,[],[f376,f552])). 2.77/0.71 tff(f550,plain,( 2.77/0.71 spl24_1 | spl24_2), 2.77/0.71 inference(avatar_split_clause,[],[f543,f548,f545])). 2.77/0.71 tff(f543,plain,( 2.77/0.71 ( ! [X10 : $int] : ($less(get3(sK8,sK9),get3(sK8,$sum(-1,sK6))) | $less(X10,sK6) | $less(sK3,X10) | get3(sK8,X10) != get3(sK8,sK9)) )), 2.77/0.71 inference(forward_demodulation,[],[f542,f118])). 2.77/0.71 tff(f542,plain,( 2.77/0.71 ( ! [X10 : $int] : ($less(get3(sK8,sK9),get3(sK8,$sum(sK6,-1))) | $less(X10,sK6) | $less(sK3,X10) | get3(sK8,X10) != get3(sK8,sK9)) )), 2.77/0.71 inference(evaluation,[],[f377])). 2.77/0.71 tff(f377,plain,( 2.77/0.71 ( ! [X10 : $int] : ($less(get3(sK8,sK9),get3(sK8,$sum(sK6,$uminus(1)))) | $less(X10,sK6) | $less(sK3,X10) | get3(sK8,X10) != get3(sK8,sK9)) )), 2.77/0.71 inference(cnf_transformation,[],[f290])). 2.77/0.71 % SZS output end Proof for theBenchmark 2.77/0.71 % (31969)------------------------------ 2.77/0.71 % (31969)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 2.77/0.71 % (31969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.77/0.71 % (31969)Termination reason: Refutation 2.77/0.71 2.77/0.71 % (31969)Memory used [KB]: 12920 2.77/0.71 % (31969)Time elapsed: 0.279 s 2.77/0.71 % (31969)------------------------------ 2.77/0.71 % (31969)------------------------------ 2.77/0.71 % (31965)Success in time 0.348 s 2.77/0.71 EOF