0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.02/0.25 % Computer : n175.star.cs.uiowa.edu 0.02/0.25 % Model : x86_64 x86_64 0.02/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.25 % Memory : 32218.625MB 0.02/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.25 % CPULimit : 300 0.02/0.25 % DateTime : Sat Jul 14 04:35:10 CDT 2018 0.02/0.25 % CPUTime : 0.02/0.25 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.25 % remaining time: 2999 next slice time: 3 0.02/0.28 dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark 0.49/0.68 % (61627)Time limit reached! 0.49/0.68 % ------------------------------ 0.49/0.68 % Version: Vampire 4.1 for CASC J8 Entry 0.49/0.68 % Termination reason: Time limit 0.49/0.68 % Termination phase: Saturation 0.49/0.68 0.49/0.68 % Memory used [KB]: 4605 0.49/0.68 % Time elapsed: 0.400 s 0.49/0.68 % ------------------------------ 0.49/0.68 % ------------------------------ 0.49/0.68 % remaining time: 2995 next slice time: 3 0.49/0.68 lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark 0.49/1.08 % (61628)Time limit reached! 0.49/1.08 % ------------------------------ 0.49/1.08 % Version: Vampire 4.1 for CASC J8 Entry 0.49/1.08 % Termination reason: Time limit 0.49/1.08 % Termination phase: Saturation 0.49/1.08 0.49/1.08 % Memory used [KB]: 11897 0.49/1.08 % Time elapsed: 0.400 s 0.49/1.08 % ------------------------------ 0.49/1.08 % ------------------------------ 0.88/1.09 % remaining time: 2991 next slice time: 5 0.88/1.09 lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark 1.48/1.69 % (61629)Time limit reached! 1.48/1.69 % ------------------------------ 1.48/1.69 % Version: Vampire 4.1 for CASC J8 Entry 1.48/1.69 % Termination reason: Time limit 1.48/1.69 % Termination phase: Saturation 1.48/1.69 1.48/1.69 % Memory used [KB]: 10362 1.48/1.69 % Time elapsed: 0.600 s 1.48/1.69 % ------------------------------ 1.48/1.69 % ------------------------------ 1.48/1.69 % remaining time: 2985 next slice time: 9 1.48/1.69 dis+10_2:1_gs=on:gsem=off:irw=on:lcm=reverse:lma=on:nm=2:nwc=1.3:nicw=on:sas=z3:sac=on:sdd=off:sfr=on:ssfp=1000:ssfq=1.1:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_7 on theBenchmark 2.44/2.69 % (61630)Time limit reached! 2.44/2.69 % ------------------------------ 2.44/2.69 % Version: Vampire 4.1 for CASC J8 Entry 2.44/2.69 % Termination reason: Time limit 2.44/2.69 % Termination phase: Saturation 2.44/2.69 2.44/2.69 % Memory used [KB]: 5628 2.44/2.69 % Time elapsed: 1.0000 s 2.44/2.69 % ------------------------------ 2.44/2.69 % ------------------------------ 2.44/2.69 % remaining time: 2975 next slice time: 10 2.44/2.69 dis+11_2:1_bd=off:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:ssac=none:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:ssnc=none:sp=reverse_arity:tha=off:updr=off_9 on theBenchmark 2.51/2.74 % Refutation found. Thanks to Tanya! 2.51/2.74 % SZS status Theorem for theBenchmark 2.51/2.74 % SZS output start Proof for theBenchmark 2.51/2.74 tff(type_def_6, type, uni: $tType). 2.51/2.74 tff(type_def_7, type, ty: $tType). 2.51/2.74 tff(type_def_8, type, bool1: $tType). 2.51/2.74 tff(type_def_9, type, tuple02: $tType). 2.51/2.74 tff(type_def_10, type, array_int: $tType). 2.51/2.74 tff(func_def_0, type, witness1: ty > uni). 2.51/2.74 tff(func_def_1, type, int: ty). 2.51/2.74 tff(func_def_2, type, real: ty). 2.51/2.74 tff(func_def_3, type, bool: ty). 2.51/2.74 tff(func_def_4, type, true1: bool1). 2.51/2.74 tff(func_def_5, type, false1: bool1). 2.51/2.74 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 2.51/2.74 tff(func_def_7, type, tuple0: ty). 2.51/2.74 tff(func_def_8, type, tuple03: tuple02). 2.51/2.74 tff(func_def_9, type, qtmark: ty). 2.51/2.74 tff(func_def_10, type, map: (ty * ty) > ty). 2.51/2.74 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 2.51/2.74 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 2.51/2.74 tff(func_def_13, type, const: (ty * ty * uni) > uni). 2.51/2.74 tff(func_def_14, type, array: ty > ty). 2.51/2.74 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 2.51/2.74 tff(func_def_16, type, length1: (ty * uni) > $int). 2.51/2.74 tff(func_def_17, type, elts: (ty * uni) > uni). 2.51/2.74 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 2.51/2.74 tff(func_def_19, type, t2tb: $int > uni). 2.51/2.74 tff(func_def_20, type, tb2t: uni > $int). 2.51/2.74 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 2.51/2.74 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 2.51/2.74 tff(func_def_23, type, t2tb1: array_int > uni). 2.51/2.74 tff(func_def_24, type, tb2t1: uni > array_int). 2.51/2.74 tff(func_def_29, type, sK0: array_int). 2.51/2.74 tff(func_def_30, type, sK1: $int). 2.51/2.74 tff(func_def_31, type, sK2: $int). 2.51/2.74 tff(func_def_32, type, sK3: $int). 2.51/2.74 tff(func_def_33, type, sK4: (array_int * $int * $int * $int) > $int). 2.51/2.74 tff(func_def_34, type, sK5: (array_int * $int * $int * $int) > $int). 2.51/2.74 tff(pred_def_1, type, sort1: (ty * uni) > $o). 2.51/2.74 tff(pred_def_2, type, is_common_prefix1: (array_int * $int * $int * $int) > $o). 2.51/2.74 tff(pred_def_3, type, is_longest_common_prefix1: (array_int * $int * $int * $int) > $o). 2.51/2.74 tff(f17,axiom,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : (($lesseq($sum(X8,X12),length1(int,t2tb1(X0))) & ! [X11 : $int] : (($lesseq(0,X11) & $less(X11,X12)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X11))) = tb2t(get2(int,t2tb1(X0),$sum(X8,X11)))) & $lesseq($sum(X1,X12),length1(int,t2tb1(X0))) & $lesseq(0,X12)) <=> is_common_prefix1(X0,X1,X8,X12))), 2.51/2.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_common_prefix_def)). 2.51/2.74 tff(f19,conjecture,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((is_common_prefix1(X0,X1,X8,X12) & ~is_common_prefix1(X0,X1,X8,$sum(X12,1))) => is_longest_common_prefix1(X0,X1,X8,X12))), 2.51/2.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',longest_common_prefix_succ)). 2.51/2.74 tff(f20,negated_conjecture,( 2.51/2.74 ~! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((is_common_prefix1(X0,X1,X8,X12) & ~is_common_prefix1(X0,X1,X8,$sum(X12,1))) => is_longest_common_prefix1(X0,X1,X8,X12))), 2.51/2.74 inference(negated_conjecture,[],[f19])). 2.51/2.74 tff(f24,axiom,( 2.51/2.74 ! [X0 : ty,X15 : uni,X11 : $int] : get(X0,int,elts(X0,X15),t2tb(X11)) = get2(X0,X15,X11)), 2.51/2.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',get_def)). 2.51/2.74 tff(f26,axiom,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : (($lesseq(0,X12) & $less($sum(X1,X12),length1(int,t2tb1(X0))) & $less($sum(X8,X12),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X12))) != tb2t(get2(int,t2tb1(X0),$sum(X8,X12)))) => ~is_common_prefix1(X0,X1,X8,$sum(X12,1)))), 2.51/2.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_common_prefix_if_last_char_are_different)). 2.51/2.74 tff(f32,axiom,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : (is_longest_common_prefix1(X0,X1,X8,X12) <=> (is_common_prefix1(X0,X1,X8,X12) & ! [X16 : $int] : ($less(X12,X16) => ~is_common_prefix1(X0,X1,X8,X16))))), 2.51/2.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_longest_common_prefix_def)). 2.51/2.74 tff(f39,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((~$less(X12,0) & $less($sum(X1,X12),length1(int,t2tb1(X0))) & $less($sum(X8,X12),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X12))) != tb2t(get2(int,t2tb1(X0),$sum(X8,X12)))) => ~is_common_prefix1(X0,X1,X8,$sum(X12,1)))), 2.51/2.74 inference(evaluation,[],[f26])). 2.51/2.74 tff(f40,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X8,X12)) & ! [X11 : $int] : ((~$less(X11,0) & $less(X11,X12)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X11))) = tb2t(get2(int,t2tb1(X0),$sum(X8,X11)))) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X12)) & ~$less(X12,0)) <=> is_common_prefix1(X0,X1,X8,X12))), 2.51/2.74 inference(evaluation,[],[f17])). 2.51/2.74 tff(f41,plain,( 2.51/2.74 ~! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1))) => is_longest_common_prefix1(X0,X1,X2,X3))), 2.51/2.74 inference(rectify,[],[f20])). 2.51/2.74 tff(f54,plain,( 2.51/2.74 ! [X0 : ty,X1 : uni,X2 : $int] : get(X0,int,elts(X0,X1),t2tb(X2)) = get2(X0,X1,X2)), 2.51/2.74 inference(rectify,[],[f24])). 2.51/2.74 tff(f62,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,0) & $less($sum(X1,X3),length1(int,t2tb1(X0))) & $less($sum(X2,X3),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))) => ~is_common_prefix1(X0,X1,X2,$sum(X3,1)))), 2.51/2.74 inference(rectify,[],[f39])). 2.51/2.74 tff(f63,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) <=> (is_common_prefix1(X0,X1,X2,X3) & ! [X4 : $int] : ($less(X3,X4) => ~is_common_prefix1(X0,X1,X2,X4))))), 2.51/2.74 inference(rectify,[],[f32])). 2.51/2.74 tff(f64,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : ((~$less(X4,0) & $less(X4,X3)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4)))) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 2.51/2.74 inference(rectify,[],[f40])). 2.51/2.74 tff(f68,plain,( 2.51/2.74 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & (is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1))))), 2.51/2.74 inference(ennf_transformation,[],[f41])). 2.51/2.74 tff(f69,plain,( 2.51/2.74 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1)))), 2.51/2.74 inference(flattening,[],[f68])). 2.51/2.74 tff(f76,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | ($less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))))), 2.51/2.74 inference(ennf_transformation,[],[f62])). 2.51/2.74 tff(f77,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))))), 2.51/2.74 inference(flattening,[],[f76])). 2.51/2.74 tff(f78,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) <=> (is_common_prefix1(X0,X1,X2,X3) & ! [X4 : $int] : (~is_common_prefix1(X0,X1,X2,X4) | ~$less(X3,X4))))), 2.51/2.74 inference(ennf_transformation,[],[f63])). 2.51/2.74 tff(f79,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | ($less(X4,0) | ~$less(X4,X3))) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 2.51/2.74 inference(ennf_transformation,[],[f64])). 2.51/2.74 tff(f80,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 2.51/2.74 inference(flattening,[],[f79])). 2.51/2.74 tff(f85,plain,( 2.51/2.74 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1))) => (~is_longest_common_prefix1(sK0,sK1,sK2,sK3) & is_common_prefix1(sK0,sK1,sK2,sK3) & ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)))), 2.51/2.74 introduced(choice_axiom,[])). 2.51/2.74 tff(f86,plain,( 2.51/2.74 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3) & is_common_prefix1(sK0,sK1,sK2,sK3) & ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 2.51/2.74 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f69,f85])). 2.51/2.74 tff(f87,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | (~is_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)))) & ((is_common_prefix1(X0,X1,X2,X3) & ! [X4 : $int] : (~is_common_prefix1(X0,X1,X2,X4) | ~$less(X3,X4))) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.51/2.74 inference(nnf_transformation,[],[f78])). 2.51/2.74 tff(f88,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4))) & ((is_common_prefix1(X0,X1,X2,X3) & ! [X4 : $int] : (~is_common_prefix1(X0,X1,X2,X4) | ~$less(X3,X4))) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.51/2.74 inference(flattening,[],[f87])). 2.51/2.74 tff(f89,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4))) & ((is_common_prefix1(X0,X1,X2,X3) & ! [X5 : $int] : (~is_common_prefix1(X0,X1,X2,X5) | ~$less(X3,X5))) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.51/2.74 inference(rectify,[],[f88])). 2.51/2.74 tff(f90,plain,( 2.51/2.74 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) => (is_common_prefix1(X0,X1,X2,sK4(X0,X1,X2,X3)) & $less(X3,sK4(X0,X1,X2,X3))))), 2.51/2.74 introduced(choice_axiom,[])). 2.51/2.74 tff(f91,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | (is_common_prefix1(X0,X1,X2,sK4(X0,X1,X2,X3)) & $less(X3,sK4(X0,X1,X2,X3)))) & ((is_common_prefix1(X0,X1,X2,X3) & ! [X5 : $int] : (~is_common_prefix1(X0,X1,X2,X5) | ~$less(X3,X5))) | ~is_longest_common_prefix1(X0,X1,X2,X3)))), 2.51/2.74 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f89,f90])). 2.51/2.74 tff(f92,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | ($less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0))))), 2.51/2.74 inference(nnf_transformation,[],[f80])). 2.51/2.74 tff(f93,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)))), 2.51/2.74 inference(flattening,[],[f92])). 2.51/2.74 tff(f94,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)))), 2.51/2.74 inference(rectify,[],[f93])). 2.51/2.74 tff(f95,plain,( 2.51/2.74 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3)) => (tb2t(get2(int,t2tb1(X0),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK5(X0,X1,X2,X3)))) & ~$less(sK5(X0,X1,X2,X3),0) & $less(sK5(X0,X1,X2,X3),X3)))), 2.51/2.74 introduced(choice_axiom,[])). 2.51/2.74 tff(f96,plain,( 2.51/2.74 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | (tb2t(get2(int,t2tb1(X0),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK5(X0,X1,X2,X3)))) & ~$less(sK5(X0,X1,X2,X3),0) & $less(sK5(X0,X1,X2,X3),X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)))), 2.51/2.74 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f94,f95])). 2.51/2.74 tff(f98,plain,( 2.51/2.74 ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 2.51/2.74 inference(cnf_transformation,[],[f86])). 2.51/2.74 tff(f99,plain,( 2.51/2.74 is_common_prefix1(sK0,sK1,sK2,sK3)), 2.51/2.74 inference(cnf_transformation,[],[f86])). 2.51/2.74 tff(f100,plain,( 2.51/2.74 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 2.51/2.74 inference(cnf_transformation,[],[f86])). 2.51/2.74 tff(f119,plain,( 2.51/2.74 ( ! [X2:$int,X0:ty,X1:uni] : (get(X0,int,elts(X0,X1),t2tb(X2)) = get2(X0,X1,X2)) )), 2.51/2.74 inference(cnf_transformation,[],[f54])). 2.51/2.74 tff(f129,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))) )), 2.51/2.74 inference(cnf_transformation,[],[f77])). 2.51/2.74 tff(f130,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X5:$int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,X5) | ~$less(X3,X5) | ~is_longest_common_prefix1(X0,X1,X2,X3)) )), 2.51/2.74 inference(cnf_transformation,[],[f91])). 2.51/2.74 tff(f131,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | ~is_longest_common_prefix1(X0,X1,X2,X3)) )), 2.51/2.74 inference(cnf_transformation,[],[f91])). 2.51/2.74 tff(f132,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | $less(X3,sK4(X0,X1,X2,X3))) )), 2.51/2.74 inference(cnf_transformation,[],[f91])). 2.51/2.74 tff(f133,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | is_common_prefix1(X0,X1,X2,sK4(X0,X1,X2,X3))) )), 2.51/2.74 inference(cnf_transformation,[],[f91])). 2.51/2.74 tff(f134,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(sK5(X0,X1,X2,X3),X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 2.51/2.74 inference(cnf_transformation,[],[f96])). 2.51/2.74 tff(f135,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ~$less(sK5(X0,X1,X2,X3),0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 2.51/2.74 inference(cnf_transformation,[],[f96])). 2.51/2.74 tff(f136,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | tb2t(get2(int,t2tb1(X0),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK5(X0,X1,X2,X3)))) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 2.51/2.74 inference(cnf_transformation,[],[f96])). 2.51/2.74 tff(f137,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(X3,0) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.51/2.74 inference(cnf_transformation,[],[f96])). 2.51/2.74 tff(f138,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.51/2.74 inference(cnf_transformation,[],[f96])). 2.51/2.74 tff(f139,plain,( 2.51/2.74 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:$int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.51/2.74 inference(cnf_transformation,[],[f96])). 2.51/2.74 tff(f140,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.51/2.74 inference(cnf_transformation,[],[f96])). 2.51/2.74 tff(f147,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X3))))) )), 2.51/2.74 inference(definition_unfolding,[],[f129,f119,f119])). 2.51/2.74 tff(f148,plain,( 2.51/2.74 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X4)))) | $less(X4,0) | ~$less(X4,X3) | ~is_common_prefix1(X0,X1,X2,X3)) )), 2.51/2.74 inference(definition_unfolding,[],[f139,f119,f119])). 2.51/2.74 tff(f149,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(X0,X1,X2,X3))))) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 2.51/2.74 inference(definition_unfolding,[],[f136,f119,f119])). 2.51/2.74 tff(f152,plain,( 2.51/2.74 spl6_1 <=> ~is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_1])])). 2.51/2.74 tff(f153,plain,( 2.51/2.74 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3) | ~spl6_1), 2.51/2.74 inference(AVATAR_component_clause,[],[f152])). 2.51/2.74 tff(f154,plain,( 2.51/2.74 ~spl6_1), 2.51/2.74 inference(AVATAR_split_clause,[],[f100,f152])). 2.51/2.74 tff(f156,plain,( 2.51/2.74 spl6_2 <=> is_common_prefix1(sK0,sK1,sK2,sK3)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_2])])). 2.51/2.74 tff(f157,plain,( 2.51/2.74 is_common_prefix1(sK0,sK1,sK2,sK3) | ~spl6_2), 2.51/2.74 inference(AVATAR_component_clause,[],[f156])). 2.51/2.74 tff(f158,plain,( 2.51/2.74 spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f99,f156])). 2.51/2.74 tff(f160,plain,( 2.51/2.74 spl6_5 <=> ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_5])])). 2.51/2.74 tff(f161,plain,( 2.51/2.74 ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)) | ~spl6_5), 2.51/2.74 inference(AVATAR_component_clause,[],[f160])). 2.51/2.74 tff(f162,plain,( 2.51/2.74 ~spl6_5), 2.51/2.74 inference(AVATAR_split_clause,[],[f98,f160])). 2.51/2.74 tff(f163,plain,( 2.51/2.74 ~is_common_prefix1(sK0,sK1,sK2,sK3) | $less(sK3,sK4(sK0,sK1,sK2,sK3)) | ~spl6_1), 2.51/2.74 inference(resolution,[],[f153,f132])). 2.51/2.74 tff(f164,plain,( 2.51/2.74 ~is_common_prefix1(sK0,sK1,sK2,sK3) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | ~spl6_1), 2.51/2.74 inference(resolution,[],[f153,f133])). 2.51/2.74 tff(f166,plain,( 2.51/2.74 spl6_6 <=> $less(sK3,sK4(sK0,sK1,sK2,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_6])])). 2.51/2.74 tff(f167,plain,( 2.51/2.74 $less(sK3,sK4(sK0,sK1,sK2,sK3)) | ~spl6_6), 2.51/2.74 inference(AVATAR_component_clause,[],[f166])). 2.51/2.74 tff(f169,plain,( 2.51/2.74 spl6_3 <=> ~is_common_prefix1(sK0,sK1,sK2,sK3)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_3])])). 2.51/2.74 tff(f171,plain,( 2.51/2.74 spl6_6 | ~spl6_3 | spl6_1), 2.51/2.74 inference(AVATAR_split_clause,[],[f163,f152,f169,f166])). 2.51/2.74 tff(f173,plain,( 2.51/2.74 spl6_8 <=> is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_8])])). 2.51/2.74 tff(f174,plain,( 2.51/2.74 is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | ~spl6_8), 2.51/2.74 inference(AVATAR_component_clause,[],[f173])). 2.51/2.74 tff(f175,plain,( 2.51/2.74 spl6_8 | ~spl6_3 | spl6_1), 2.51/2.74 inference(AVATAR_split_clause,[],[f164,f152,f169,f173])). 2.51/2.74 tff(f176,plain,( 2.51/2.74 ( ! [X0:$int] : (~$less(X0,sK3) | ~is_longest_common_prefix1(sK0,sK1,sK2,X0)) ) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f157,f130])). 2.51/2.74 tff(f177,plain,( 2.51/2.74 is_longest_common_prefix1(sK0,sK1,sK2,sK3) | $less(sK3,sK4(sK0,sK1,sK2,sK3)) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f157,f132])). 2.51/2.74 tff(f178,plain,( 2.51/2.74 is_longest_common_prefix1(sK0,sK1,sK2,sK3) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f157,f133])). 2.51/2.74 tff(f179,plain,( 2.51/2.74 ~$less(sK3,0) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f157,f137])). 2.51/2.74 tff(f180,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f157,f138])). 2.51/2.74 tff(f181,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f157,f140])). 2.51/2.74 tff(f182,plain,( 2.51/2.74 ( ! [X1:$int] : (~$less(X1,sK3) | $less(X1,0) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,X1)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,X1))))) ) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f157,f148])). 2.51/2.74 tff(f184,plain,( 2.51/2.74 spl6_0 <=> is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_0])])). 2.51/2.74 tff(f186,plain,( 2.51/2.74 spl6_6 | spl6_0 | ~spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f177,f156,f184,f166])). 2.51/2.74 tff(f187,plain,( 2.51/2.74 spl6_8 | spl6_0 | ~spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f178,f156,f184,f173])). 2.51/2.74 tff(f189,plain,( 2.51/2.74 spl6_11 <=> ~$less(sK3,0)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_11])])). 2.51/2.74 tff(f190,plain,( 2.51/2.74 ~$less(sK3,0) | ~spl6_11), 2.51/2.74 inference(AVATAR_component_clause,[],[f189])). 2.51/2.74 tff(f191,plain,( 2.51/2.74 ~spl6_11 | ~spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f179,f156,f189])). 2.51/2.74 tff(f193,plain,( 2.51/2.74 spl6_13 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_13])])). 2.51/2.74 tff(f194,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | ~spl6_13), 2.51/2.74 inference(AVATAR_component_clause,[],[f193])). 2.51/2.74 tff(f195,plain,( 2.51/2.74 ~spl6_13 | ~spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f180,f156,f193])). 2.51/2.74 tff(f197,plain,( 2.51/2.74 spl6_15 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_15])])). 2.51/2.74 tff(f198,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | ~spl6_15), 2.51/2.74 inference(AVATAR_component_clause,[],[f197])). 2.51/2.74 tff(f199,plain,( 2.51/2.74 ~spl6_15 | ~spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f181,f156,f197])). 2.51/2.74 tff(f200,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less($sum(sK3,1),0) | ~spl6_5), 2.51/2.74 inference(resolution,[],[f161,f134])). 2.51/2.74 tff(f201,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less($sum(sK3,1),0) | ~spl6_5), 2.51/2.74 inference(resolution,[],[f161,f135])). 2.51/2.74 tff(f202,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less($sum(sK3,1),0) | ~spl6_5), 2.51/2.74 inference(resolution,[],[f161,f149])). 2.51/2.74 tff(f203,plain,( 2.51/2.74 ~is_longest_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)) | ~spl6_5), 2.51/2.74 inference(resolution,[],[f161,f131])). 2.51/2.74 tff(f204,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,$uminus(1)) | ~spl6_5), 2.51/2.74 inference(evaluation,[],[f202])). 2.51/2.74 tff(f205,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,-1) | ~spl6_5), 2.51/2.74 inference(evaluation,[],[f204])). 2.51/2.74 tff(f206,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,$uminus(1)) | ~spl6_5), 2.51/2.74 inference(evaluation,[],[f201])). 2.51/2.74 tff(f207,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,-1) | ~spl6_5), 2.51/2.74 inference(evaluation,[],[f206])). 2.51/2.74 tff(f208,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,$uminus(1)) | ~spl6_5), 2.51/2.74 inference(evaluation,[],[f200])). 2.51/2.74 tff(f209,plain,( 2.51/2.74 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,-1) | ~spl6_5), 2.51/2.74 inference(evaluation,[],[f208])). 2.51/2.74 tff(f211,plain,( 2.51/2.74 spl6_16 <=> $less(sK3,-1)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_16])])). 2.51/2.74 tff(f214,plain,( 2.51/2.74 spl6_18 <=> $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_18])])). 2.51/2.74 tff(f217,plain,( 2.51/2.74 spl6_20 <=> $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_20])])). 2.51/2.74 tff(f218,plain,( 2.51/2.74 $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | ~spl6_20), 2.51/2.74 inference(AVATAR_component_clause,[],[f217])). 2.51/2.74 tff(f220,plain,( 2.51/2.74 spl6_22 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_22])])). 2.51/2.74 tff(f222,plain,( 2.51/2.74 spl6_16 | spl6_18 | spl6_20 | spl6_22 | spl6_5), 2.51/2.74 inference(AVATAR_split_clause,[],[f209,f160,f220,f217,f214,f211])). 2.51/2.74 tff(f224,plain,( 2.51/2.74 spl6_25 <=> ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_25])])). 2.51/2.74 tff(f225,plain,( 2.51/2.74 ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~spl6_25), 2.51/2.74 inference(AVATAR_component_clause,[],[f224])). 2.51/2.74 tff(f226,plain,( 2.51/2.74 spl6_16 | spl6_18 | ~spl6_25 | spl6_22 | spl6_5), 2.51/2.74 inference(AVATAR_split_clause,[],[f207,f160,f220,f224,f214,f211])). 2.51/2.74 tff(f228,plain,( 2.51/2.74 spl6_27 <=> tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_27])])). 2.51/2.74 tff(f229,plain,( 2.51/2.74 tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~spl6_27), 2.51/2.74 inference(AVATAR_component_clause,[],[f228])). 2.51/2.74 tff(f230,plain,( 2.51/2.74 spl6_16 | spl6_18 | ~spl6_27 | spl6_22 | spl6_5), 2.51/2.74 inference(AVATAR_split_clause,[],[f205,f160,f220,f228,f214,f211])). 2.51/2.74 tff(f232,plain,( 2.51/2.74 spl6_29 <=> ~is_longest_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_29])])). 2.51/2.74 tff(f234,plain,( 2.51/2.74 ~spl6_29 | spl6_5), 2.51/2.74 inference(AVATAR_split_clause,[],[f203,f160,f232])). 2.51/2.74 tff(f235,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (is_common_prefix1(X0,X1,X2,sK3) | $less(length1(int,t2tb1(X0)),$sum(X2,sK3)) | $less(sK5(X0,X1,X2,sK3),sK3) | $less(length1(int,t2tb1(X0)),$sum(X1,sK3))) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f190,f134])). 2.51/2.74 tff(f236,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (is_common_prefix1(X3,X4,X5,sK3) | $less(length1(int,t2tb1(X3)),$sum(X5,sK3)) | ~$less(sK5(X3,X4,X5,sK3),0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK3))) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f190,f135])). 2.51/2.74 tff(f238,plain,( 2.51/2.74 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~$less(sK3,X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK3)))) | ~is_common_prefix1(X9,X10,X11,X12)) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f190,f148])). 2.51/2.74 tff(f239,plain,( 2.51/2.74 ( ! [X14:$int,X15:$int,X13:array_int] : (~is_common_prefix1(X13,X14,X15,$sum(sK3,1)) | ~$less($sum(X14,sK3),length1(int,t2tb1(X13))) | ~$less($sum(X15,sK3),length1(int,t2tb1(X13))) | tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X14,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X13)),t2tb($sum(X15,sK3))))) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f190,f147])). 2.51/2.74 tff(f242,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3)))) | $less(sK3,0) | ~is_common_prefix1(X0,X1,X2,sK4(sK0,sK1,sK2,sK3))) ) | ~spl6_6), 2.51/2.74 inference(resolution,[],[f167,f148])). 2.51/2.74 tff(f243,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,sK3) | ~is_common_prefix1(X3,X4,X5,sK4(sK0,sK1,sK2,sK3))) ) | ~spl6_6), 2.51/2.74 inference(resolution,[],[f167,f130])). 2.51/2.74 tff(f245,plain,( 2.51/2.74 spl6_10 <=> $less(sK3,0)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_10])])). 2.51/2.74 tff(f248,plain,( 2.51/2.74 spl6_30 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3)))) | ~is_common_prefix1(X0,X1,X2,sK4(sK0,sK1,sK2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_30])])). 2.51/2.74 tff(f249,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK4(sK0,sK1,sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3))))) ) | ~spl6_30), 2.51/2.74 inference(AVATAR_component_clause,[],[f248])). 2.51/2.74 tff(f250,plain,( 2.51/2.74 spl6_10 | spl6_30 | ~spl6_6), 2.51/2.74 inference(AVATAR_split_clause,[],[f242,f166,f248,f245])). 2.51/2.74 tff(f254,plain,( 2.51/2.74 ( ! [X4:$int,X2:array_int,X3:$int] : (~is_longest_common_prefix1(sK0,sK1,sK2,sK5(X2,X3,X4,sK3)) | is_common_prefix1(X2,X3,X4,sK3) | $less(length1(int,t2tb1(X2)),$sum(X4,sK3)) | $less(length1(int,t2tb1(X2)),$sum(X3,sK3)) | $less(sK3,0)) ) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f176,f134])). 2.51/2.74 tff(f256,plain,( 2.51/2.74 spl6_32 <=> ! [X3 : $int,X2 : array_int,X4 : $int] : (~is_longest_common_prefix1(sK0,sK1,sK2,sK5(X2,X3,X4,sK3)) | $less(length1(int,t2tb1(X2)),$sum(X3,sK3)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK3)) | is_common_prefix1(X2,X3,X4,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_32])])). 2.51/2.74 tff(f258,plain,( 2.51/2.74 spl6_10 | spl6_32 | ~spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f254,f156,f256,f245])). 2.51/2.74 tff(f259,plain,( 2.51/2.74 ( ! [X0:$int] : (is_common_prefix1(sK0,sK1,X0,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)) | $less(sK5(sK0,sK1,X0,sK3),sK3) | $less(sK3,0)) ) | ~spl6_13), 2.51/2.74 inference(resolution,[],[f194,f134])). 2.51/2.74 tff(f260,plain,( 2.51/2.74 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK1,sK3) | $less(sK5(sK0,X1,sK1,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK3,0)) ) | ~spl6_13), 2.51/2.74 inference(resolution,[],[f194,f134])). 2.51/2.74 tff(f261,plain,( 2.51/2.74 ( ! [X2:$int] : (is_common_prefix1(sK0,sK1,X2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)) | ~$less(sK5(sK0,sK1,X2,sK3),0) | $less(sK3,0)) ) | ~spl6_13), 2.51/2.74 inference(resolution,[],[f194,f135])). 2.51/2.74 tff(f262,plain,( 2.51/2.74 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK1,sK3) | ~$less(sK5(sK0,X3,sK1,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | $less(sK3,0)) ) | ~spl6_13), 2.51/2.74 inference(resolution,[],[f194,f135])). 2.51/2.74 tff(f263,plain,( 2.51/2.74 ( ! [X4:$int] : (is_common_prefix1(sK0,sK1,X4,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,X4,sK3))))) | $less(sK3,0)) ) | ~spl6_13), 2.51/2.74 inference(resolution,[],[f194,f149])). 2.51/2.74 tff(f264,plain,( 2.51/2.74 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK1,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X5,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK1,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | $less(sK3,0)) ) | ~spl6_13), 2.51/2.74 inference(resolution,[],[f194,f149])). 2.51/2.74 tff(f267,plain,( 2.51/2.74 spl6_34 <=> ! [X0 : $int] : (is_common_prefix1(sK0,sK1,X0,sK3) | $less(sK5(sK0,sK1,X0,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_34])])). 2.51/2.74 tff(f268,plain,( 2.51/2.74 ( ! [X0:$int] : (is_common_prefix1(sK0,sK1,X0,sK3) | $less(sK5(sK0,sK1,X0,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3))) ) | ~spl6_34), 2.51/2.74 inference(AVATAR_component_clause,[],[f267])). 2.51/2.74 tff(f269,plain,( 2.51/2.74 spl6_10 | spl6_34 | spl6_13), 2.51/2.74 inference(AVATAR_split_clause,[],[f259,f193,f267,f245])). 2.51/2.74 tff(f271,plain,( 2.51/2.74 spl6_36 <=> ! [X1 : $int] : (is_common_prefix1(sK0,X1,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK5(sK0,X1,sK1,sK3),sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_36])])). 2.51/2.74 tff(f272,plain,( 2.51/2.74 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK5(sK0,X1,sK1,sK3),sK3)) ) | ~spl6_36), 2.51/2.74 inference(AVATAR_component_clause,[],[f271])). 2.51/2.74 tff(f273,plain,( 2.51/2.74 spl6_10 | spl6_36 | spl6_13), 2.51/2.74 inference(AVATAR_split_clause,[],[f260,f193,f271,f245])). 2.51/2.74 tff(f275,plain,( 2.51/2.74 spl6_38 <=> ! [X2 : $int] : (is_common_prefix1(sK0,sK1,X2,sK3) | ~$less(sK5(sK0,sK1,X2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_38])])). 2.51/2.74 tff(f276,plain,( 2.51/2.74 ( ! [X2:$int] : (is_common_prefix1(sK0,sK1,X2,sK3) | ~$less(sK5(sK0,sK1,X2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3))) ) | ~spl6_38), 2.51/2.74 inference(AVATAR_component_clause,[],[f275])). 2.51/2.74 tff(f277,plain,( 2.51/2.74 spl6_10 | spl6_38 | spl6_13), 2.51/2.74 inference(AVATAR_split_clause,[],[f261,f193,f275,f245])). 2.51/2.74 tff(f279,plain,( 2.51/2.74 spl6_40 <=> ! [X3 : $int] : (is_common_prefix1(sK0,X3,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | ~$less(sK5(sK0,X3,sK1,sK3),0))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_40])])). 2.51/2.74 tff(f280,plain,( 2.51/2.74 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | ~$less(sK5(sK0,X3,sK1,sK3),0)) ) | ~spl6_40), 2.51/2.74 inference(AVATAR_component_clause,[],[f279])). 2.51/2.74 tff(f281,plain,( 2.51/2.74 spl6_10 | spl6_40 | spl6_13), 2.51/2.74 inference(AVATAR_split_clause,[],[f262,f193,f279,f245])). 2.51/2.74 tff(f283,plain,( 2.51/2.74 spl6_42 <=> ! [X4 : $int] : (is_common_prefix1(sK0,sK1,X4,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,X4,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_42])])). 2.51/2.74 tff(f284,plain,( 2.51/2.74 ( ! [X4:$int] : (is_common_prefix1(sK0,sK1,X4,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,X4,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3))) ) | ~spl6_42), 2.51/2.74 inference(AVATAR_component_clause,[],[f283])). 2.51/2.74 tff(f285,plain,( 2.51/2.74 spl6_10 | spl6_42 | spl6_13), 2.51/2.74 inference(AVATAR_split_clause,[],[f263,f193,f283,f245])). 2.51/2.74 tff(f287,plain,( 2.51/2.74 spl6_44 <=> ! [X5 : $int] : (is_common_prefix1(sK0,X5,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X5,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK1,sK3))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_44])])). 2.51/2.74 tff(f288,plain,( 2.51/2.74 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X5,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK1,sK3)))))) ) | ~spl6_44), 2.51/2.74 inference(AVATAR_component_clause,[],[f287])). 2.51/2.74 tff(f289,plain,( 2.51/2.74 spl6_10 | spl6_44 | spl6_13), 2.51/2.74 inference(AVATAR_split_clause,[],[f264,f193,f287,f245])). 2.51/2.74 tff(f290,plain,( 2.51/2.74 ( ! [X0:$int] : (is_common_prefix1(sK0,sK2,X0,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)) | $less(sK5(sK0,sK2,X0,sK3),sK3) | $less(sK3,0)) ) | ~spl6_15), 2.51/2.74 inference(resolution,[],[f198,f134])). 2.51/2.74 tff(f291,plain,( 2.51/2.74 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK2,sK3) | $less(sK5(sK0,X1,sK2,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK3,0)) ) | ~spl6_15), 2.51/2.74 inference(resolution,[],[f198,f134])). 2.51/2.74 tff(f292,plain,( 2.51/2.74 ( ! [X2:$int] : (is_common_prefix1(sK0,sK2,X2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)) | ~$less(sK5(sK0,sK2,X2,sK3),0) | $less(sK3,0)) ) | ~spl6_15), 2.51/2.74 inference(resolution,[],[f198,f135])). 2.51/2.74 tff(f293,plain,( 2.51/2.74 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK2,sK3) | ~$less(sK5(sK0,X3,sK2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | $less(sK3,0)) ) | ~spl6_15), 2.51/2.74 inference(resolution,[],[f198,f135])). 2.51/2.74 tff(f294,plain,( 2.51/2.74 ( ! [X4:$int] : (is_common_prefix1(sK0,sK2,X4,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK2,X4,sK3))))) | $less(sK3,0)) ) | ~spl6_15), 2.51/2.74 inference(resolution,[],[f198,f149])). 2.51/2.74 tff(f295,plain,( 2.51/2.74 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK2,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X5,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK2,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | $less(sK3,0)) ) | ~spl6_15), 2.51/2.74 inference(resolution,[],[f198,f149])). 2.51/2.74 tff(f298,plain,( 2.51/2.74 spl6_46 <=> ! [X0 : $int] : (is_common_prefix1(sK0,sK2,X0,sK3) | $less(sK5(sK0,sK2,X0,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_46])])). 2.51/2.74 tff(f299,plain,( 2.51/2.74 ( ! [X0:$int] : (is_common_prefix1(sK0,sK2,X0,sK3) | $less(sK5(sK0,sK2,X0,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3))) ) | ~spl6_46), 2.51/2.74 inference(AVATAR_component_clause,[],[f298])). 2.51/2.74 tff(f300,plain,( 2.51/2.74 spl6_10 | spl6_46 | spl6_15), 2.51/2.74 inference(AVATAR_split_clause,[],[f290,f197,f298,f245])). 2.51/2.74 tff(f302,plain,( 2.51/2.74 spl6_48 <=> ! [X1 : $int] : (is_common_prefix1(sK0,X1,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK5(sK0,X1,sK2,sK3),sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_48])])). 2.51/2.74 tff(f303,plain,( 2.51/2.74 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK5(sK0,X1,sK2,sK3),sK3)) ) | ~spl6_48), 2.51/2.74 inference(AVATAR_component_clause,[],[f302])). 2.51/2.74 tff(f304,plain,( 2.51/2.74 spl6_10 | spl6_48 | spl6_15), 2.51/2.74 inference(AVATAR_split_clause,[],[f291,f197,f302,f245])). 2.51/2.74 tff(f306,plain,( 2.51/2.74 spl6_50 <=> ! [X2 : $int] : (is_common_prefix1(sK0,sK2,X2,sK3) | ~$less(sK5(sK0,sK2,X2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_50])])). 2.51/2.74 tff(f307,plain,( 2.51/2.74 ( ! [X2:$int] : (is_common_prefix1(sK0,sK2,X2,sK3) | ~$less(sK5(sK0,sK2,X2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3))) ) | ~spl6_50), 2.51/2.74 inference(AVATAR_component_clause,[],[f306])). 2.51/2.74 tff(f308,plain,( 2.51/2.74 spl6_10 | spl6_50 | spl6_15), 2.51/2.74 inference(AVATAR_split_clause,[],[f292,f197,f306,f245])). 2.51/2.74 tff(f310,plain,( 2.51/2.74 spl6_52 <=> ! [X3 : $int] : (is_common_prefix1(sK0,X3,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | ~$less(sK5(sK0,X3,sK2,sK3),0))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_52])])). 2.51/2.74 tff(f311,plain,( 2.51/2.74 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | ~$less(sK5(sK0,X3,sK2,sK3),0)) ) | ~spl6_52), 2.51/2.74 inference(AVATAR_component_clause,[],[f310])). 2.51/2.74 tff(f312,plain,( 2.51/2.74 spl6_10 | spl6_52 | spl6_15), 2.51/2.74 inference(AVATAR_split_clause,[],[f293,f197,f310,f245])). 2.51/2.74 tff(f314,plain,( 2.51/2.74 spl6_54 <=> ! [X4 : $int] : (is_common_prefix1(sK0,sK2,X4,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK2,X4,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_54])])). 2.51/2.74 tff(f315,plain,( 2.51/2.74 ( ! [X4:$int] : (is_common_prefix1(sK0,sK2,X4,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK2,X4,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3))) ) | ~spl6_54), 2.51/2.74 inference(AVATAR_component_clause,[],[f314])). 2.51/2.74 tff(f316,plain,( 2.51/2.74 spl6_10 | spl6_54 | spl6_15), 2.51/2.74 inference(AVATAR_split_clause,[],[f294,f197,f314,f245])). 2.51/2.74 tff(f318,plain,( 2.51/2.74 spl6_56 <=> ! [X5 : $int] : (is_common_prefix1(sK0,X5,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X5,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK2,sK3))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_56])])). 2.51/2.74 tff(f319,plain,( 2.51/2.74 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X5,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK2,sK3)))))) ) | ~spl6_56), 2.51/2.74 inference(AVATAR_component_clause,[],[f318])). 2.51/2.74 tff(f320,plain,( 2.51/2.74 spl6_10 | spl6_56 | spl6_15), 2.51/2.74 inference(AVATAR_split_clause,[],[f295,f197,f318,f245])). 2.51/2.74 tff(f321,plain,( 2.51/2.74 ( ! [X0:$int] : (~is_longest_common_prefix1(sK0,sK1,sK2,X0) | ~$less(X0,sK4(sK0,sK1,sK2,sK3))) ) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f174,f130])). 2.51/2.74 tff(f322,plain,( 2.51/2.74 is_longest_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | $less(sK4(sK0,sK1,sK2,sK3),sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f174,f132])). 2.51/2.74 tff(f323,plain,( 2.51/2.74 is_longest_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f174,f133])). 2.51/2.74 tff(f324,plain,( 2.51/2.74 ~$less(sK4(sK0,sK1,sK2,sK3),0) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f174,f137])). 2.51/2.74 tff(f325,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK4(sK0,sK1,sK2,sK3))) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f174,f138])). 2.51/2.74 tff(f326,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f174,f140])). 2.51/2.74 tff(f327,plain,( 2.51/2.74 ( ! [X1:$int] : (~$less(X1,sK4(sK0,sK1,sK2,sK3)) | $less(X1,0) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,X1)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,X1))))) ) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f174,f148])). 2.51/2.74 tff(f329,plain,( 2.51/2.74 spl6_58 <=> $less(sK4(sK0,sK1,sK2,sK3),sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_58])])). 2.51/2.74 tff(f332,plain,( 2.51/2.74 spl6_60 <=> is_longest_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_60])])). 2.51/2.74 tff(f333,plain,( 2.51/2.74 is_longest_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | ~spl6_60), 2.51/2.74 inference(AVATAR_component_clause,[],[f332])). 2.51/2.74 tff(f334,plain,( 2.51/2.74 spl6_58 | spl6_60 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f322,f173,f332,f329])). 2.51/2.74 tff(f336,plain,( 2.51/2.74 spl6_62 <=> is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_62])])). 2.51/2.74 tff(f338,plain,( 2.51/2.74 spl6_62 | spl6_60 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f323,f173,f332,f336])). 2.51/2.74 tff(f340,plain,( 2.51/2.74 spl6_65 <=> ~$less(sK4(sK0,sK1,sK2,sK3),0)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_65])])). 2.51/2.74 tff(f342,plain,( 2.51/2.74 ~spl6_65 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f324,f173,f340])). 2.51/2.74 tff(f344,plain,( 2.51/2.74 spl6_67 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK4(sK0,sK1,sK2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_67])])). 2.51/2.74 tff(f345,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK4(sK0,sK1,sK2,sK3))) | ~spl6_67), 2.51/2.74 inference(AVATAR_component_clause,[],[f344])). 2.51/2.74 tff(f346,plain,( 2.51/2.74 ~spl6_67 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f325,f173,f344])). 2.51/2.74 tff(f348,plain,( 2.51/2.74 spl6_69 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK4(sK0,sK1,sK2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_69])])). 2.51/2.74 tff(f349,plain,( 2.51/2.74 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_69), 2.51/2.74 inference(AVATAR_component_clause,[],[f348])). 2.51/2.74 tff(f350,plain,( 2.51/2.74 ~spl6_69 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f326,f173,f348])). 2.51/2.74 tff(f361,plain,( 2.51/2.74 ( ! [X12:$int,X10:$int,X11:$int,X9:array_int] : (~is_common_prefix1(X9,X10,X11,X12) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X12) | tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X10,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X9)),t2tb($sum(X11,sK5(sK0,sK1,sK2,$sum(sK3,1))))))) ) | ~spl6_25), 2.51/2.74 inference(resolution,[],[f225,f148])). 2.51/2.74 tff(f365,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~is_common_prefix1(X0,X1,X2,$sum(sK3,1))) ) | ~spl6_20), 2.51/2.74 inference(resolution,[],[f218,f148])). 2.51/2.74 tff(f366,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_common_prefix1(X3,X4,X5,$sum(sK3,1)) | ~is_longest_common_prefix1(X3,X4,X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))) ) | ~spl6_20), 2.51/2.74 inference(resolution,[],[f218,f130])). 2.51/2.74 tff(f368,plain,( 2.51/2.74 spl6_24 <=> $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_24])])). 2.51/2.74 tff(f371,plain,( 2.51/2.74 spl6_70 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK3,1)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_70])])). 2.51/2.74 tff(f372,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(sK3,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1))))))) ) | ~spl6_70), 2.51/2.74 inference(AVATAR_component_clause,[],[f371])). 2.51/2.74 tff(f373,plain,( 2.51/2.74 spl6_24 | spl6_70 | ~spl6_20), 2.51/2.74 inference(AVATAR_split_clause,[],[f365,f217,f371,f368])). 2.51/2.74 tff(f374,plain,( 2.51/2.74 ( ! [X0:$int] : (~is_common_prefix1(sK0,sK1,sK2,X0) | ~$less(sK4(sK0,sK1,sK2,sK3),X0)) ) | ~spl6_60), 2.51/2.74 inference(resolution,[],[f333,f130])). 2.51/2.74 tff(f377,plain,( 2.51/2.74 ( ! [X4:$int,X2:array_int,X3:$int] : ($less(sK5(X2,X3,X4,sK3),0) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(X2,X3,X4,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(X2,X3,X4,sK3))))) | is_common_prefix1(X2,X3,X4,sK3) | $less(length1(int,t2tb1(X2)),$sum(X4,sK3)) | $less(length1(int,t2tb1(X2)),$sum(X3,sK3)) | $less(sK3,0)) ) | ~spl6_2), 2.51/2.74 inference(resolution,[],[f182,f134])). 2.51/2.74 tff(f379,plain,( 2.51/2.74 spl6_72 <=> ! [X3 : $int,X2 : array_int,X4 : $int] : ($less(sK5(X2,X3,X4,sK3),0) | $less(length1(int,t2tb1(X2)),$sum(X3,sK3)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK3)) | is_common_prefix1(X2,X3,X4,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(X2,X3,X4,sK3))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(X2,X3,X4,sK3))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_72])])). 2.51/2.74 tff(f381,plain,( 2.51/2.74 spl6_10 | spl6_72 | ~spl6_2), 2.51/2.74 inference(AVATAR_split_clause,[],[f377,f156,f379,f245])). 2.51/2.74 tff(f382,plain,( 2.51/2.74 ( ! [X0:$int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X0,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X1) | ~is_common_prefix1(sK0,X0,sK2,X1)) ) | ~spl6_27), 2.51/2.74 inference(superposition,[],[f229,f148])). 2.51/2.74 tff(f383,plain,( 2.51/2.74 ( ! [X2:$int,X3:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X3) | ~is_common_prefix1(sK0,sK2,X2,X3)) ) | ~spl6_27), 2.51/2.74 inference(superposition,[],[f229,f148])). 2.51/2.74 tff(f384,plain,( 2.51/2.74 ( ! [X4:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,X4,sK2,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~$less($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))) ) | ~spl6_27), 2.51/2.74 inference(superposition,[],[f229,f147])). 2.51/2.74 tff(f385,plain,( 2.51/2.74 ( ! [X5:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,sK2,X5,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~$less($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))) ) | ~spl6_27), 2.51/2.74 inference(superposition,[],[f229,f147])). 2.51/2.74 tff(f387,plain,( 2.51/2.74 spl6_74 <=> ! [X1 : $int,X0 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X0,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,X0,sK2,X1) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X1))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_74])])). 2.51/2.74 tff(f389,plain,( 2.51/2.74 spl6_24 | spl6_74 | spl6_27), 2.51/2.74 inference(AVATAR_split_clause,[],[f382,f228,f387,f368])). 2.51/2.74 tff(f391,plain,( 2.51/2.74 spl6_76 <=> ! [X3 : $int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,sK2,X2,X3) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_76])])). 2.51/2.74 tff(f393,plain,( 2.51/2.74 spl6_24 | spl6_76 | spl6_27), 2.51/2.74 inference(AVATAR_split_clause,[],[f383,f228,f391,f368])). 2.51/2.74 tff(f395,plain,( 2.51/2.74 spl6_79 <=> ~$less($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_79])])). 2.51/2.74 tff(f398,plain,( 2.51/2.74 spl6_80 <=> ! [X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~is_common_prefix1(sK0,X4,sK2,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_80])])). 2.51/2.74 tff(f400,plain,( 2.51/2.74 ~spl6_79 | spl6_24 | spl6_80 | spl6_27), 2.51/2.74 inference(AVATAR_split_clause,[],[f384,f228,f398,f368,f395])). 2.51/2.74 tff(f402,plain,( 2.51/2.74 spl6_82 <=> ! [X5 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~is_common_prefix1(sK0,sK2,X5,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_82])])). 2.51/2.74 tff(f404,plain,( 2.51/2.74 ~spl6_79 | spl6_24 | spl6_82 | spl6_27), 2.51/2.74 inference(AVATAR_split_clause,[],[f385,f228,f402,f368,f395])). 2.51/2.74 tff(f407,plain,( 2.51/2.74 ~$less(sK4(sK0,sK1,sK2,sK3),sK4(sK0,sK1,sK2,sK3)) | (~spl6_8 | ~spl6_60)), 2.51/2.74 inference(resolution,[],[f321,f333])). 2.51/2.74 tff(f409,plain,( 2.51/2.74 ( ! [X1:$int] : (~$less(X1,sK4(sK0,sK1,sK2,sK3)) | ~is_common_prefix1(sK0,sK1,sK2,X1) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,X1))) ) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f321,f133])). 2.51/2.74 tff(f411,plain,( 2.51/2.74 spl6_85 <=> ~$less(sK4(sK0,sK1,sK2,sK3),sK4(sK0,sK1,sK2,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_85])])). 2.51/2.74 tff(f413,plain,( 2.51/2.74 ~spl6_85 | ~spl6_8 | ~spl6_60), 2.51/2.74 inference(AVATAR_split_clause,[],[f407,f332,f173,f411])). 2.51/2.74 tff(f415,plain,( 2.51/2.74 ( ! [X0:$int] : (is_common_prefix1(sK0,sK1,X0,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK4(sK0,sK1,sK2,sK3))) | $less(sK5(sK0,sK1,X0,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_67), 2.51/2.74 inference(resolution,[],[f345,f134])). 2.51/2.74 tff(f416,plain,( 2.51/2.74 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK1,sK4(sK0,sK1,sK2,sK3)) | $less(sK5(sK0,X1,sK1,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_67), 2.51/2.74 inference(resolution,[],[f345,f134])). 2.51/2.74 tff(f417,plain,( 2.51/2.74 ( ! [X2:$int] : (is_common_prefix1(sK0,sK1,X2,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK4(sK0,sK1,sK2,sK3))) | ~$less(sK5(sK0,sK1,X2,sK4(sK0,sK1,sK2,sK3)),0) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_67), 2.51/2.74 inference(resolution,[],[f345,f135])). 2.51/2.74 tff(f418,plain,( 2.51/2.74 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK1,sK4(sK0,sK1,sK2,sK3)) | ~$less(sK5(sK0,X3,sK1,sK4(sK0,sK1,sK2,sK3)),0) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_67), 2.51/2.74 inference(resolution,[],[f345,f135])). 2.51/2.74 tff(f419,plain,( 2.51/2.74 ( ! [X4:$int] : (is_common_prefix1(sK0,sK1,X4,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X4,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,X4,sK4(sK0,sK1,sK2,sK3)))))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_67), 2.51/2.74 inference(resolution,[],[f345,f149])). 2.51/2.74 tff(f420,plain,( 2.51/2.74 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK1,sK4(sK0,sK1,sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X5,sK1,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK1,sK4(sK0,sK1,sK2,sK3)))))) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_67), 2.51/2.74 inference(resolution,[],[f345,f149])). 2.51/2.74 tff(f423,plain,( 2.51/2.74 spl6_64 <=> $less(sK4(sK0,sK1,sK2,sK3),0)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_64])])). 2.51/2.74 tff(f426,plain,( 2.51/2.74 spl6_86 <=> ! [X0 : $int] : (is_common_prefix1(sK0,sK1,X0,sK4(sK0,sK1,sK2,sK3)) | $less(sK5(sK0,sK1,X0,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_86])])). 2.51/2.74 tff(f428,plain,( 2.51/2.74 spl6_64 | spl6_86 | spl6_67), 2.51/2.74 inference(AVATAR_split_clause,[],[f415,f344,f426,f423])). 2.51/2.74 tff(f430,plain,( 2.51/2.74 spl6_88 <=> ! [X1 : $int] : (is_common_prefix1(sK0,X1,sK1,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK4(sK0,sK1,sK2,sK3))) | $less(sK5(sK0,X1,sK1,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_88])])). 2.51/2.74 tff(f432,plain,( 2.51/2.74 spl6_64 | spl6_88 | spl6_67), 2.51/2.74 inference(AVATAR_split_clause,[],[f416,f344,f430,f423])). 2.51/2.74 tff(f434,plain,( 2.51/2.74 spl6_90 <=> ! [X2 : $int] : (is_common_prefix1(sK0,sK1,X2,sK4(sK0,sK1,sK2,sK3)) | ~$less(sK5(sK0,sK1,X2,sK4(sK0,sK1,sK2,sK3)),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_90])])). 2.51/2.74 tff(f436,plain,( 2.51/2.74 spl6_64 | spl6_90 | spl6_67), 2.51/2.74 inference(AVATAR_split_clause,[],[f417,f344,f434,f423])). 2.51/2.74 tff(f438,plain,( 2.51/2.74 spl6_92 <=> ! [X3 : $int] : (is_common_prefix1(sK0,X3,sK1,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | ~$less(sK5(sK0,X3,sK1,sK4(sK0,sK1,sK2,sK3)),0))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_92])])). 2.51/2.74 tff(f440,plain,( 2.51/2.74 spl6_64 | spl6_92 | spl6_67), 2.51/2.74 inference(AVATAR_split_clause,[],[f418,f344,f438,f423])). 2.51/2.74 tff(f442,plain,( 2.51/2.74 spl6_94 <=> ! [X4 : $int] : (is_common_prefix1(sK0,sK1,X4,sK4(sK0,sK1,sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X4,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,X4,sK4(sK0,sK1,sK2,sK3)))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_94])])). 2.51/2.74 tff(f444,plain,( 2.51/2.74 spl6_64 | spl6_94 | spl6_67), 2.51/2.74 inference(AVATAR_split_clause,[],[f419,f344,f442,f423])). 2.51/2.74 tff(f446,plain,( 2.51/2.74 spl6_96 <=> ! [X5 : $int] : (is_common_prefix1(sK0,X5,sK1,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK4(sK0,sK1,sK2,sK3))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X5,sK1,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK1,sK4(sK0,sK1,sK2,sK3)))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_96])])). 2.51/2.74 tff(f448,plain,( 2.51/2.74 spl6_64 | spl6_96 | spl6_67), 2.51/2.74 inference(AVATAR_split_clause,[],[f420,f344,f446,f423])). 2.51/2.74 tff(f449,plain,( 2.51/2.74 ( ! [X0:$int] : (is_common_prefix1(sK0,sK2,X0,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK4(sK0,sK1,sK2,sK3))) | $less(sK5(sK0,sK2,X0,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_69), 2.51/2.74 inference(resolution,[],[f349,f134])). 2.51/2.74 tff(f450,plain,( 2.51/2.74 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK2,sK4(sK0,sK1,sK2,sK3)) | $less(sK5(sK0,X1,sK2,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_69), 2.51/2.74 inference(resolution,[],[f349,f134])). 2.51/2.74 tff(f451,plain,( 2.51/2.74 ( ! [X2:$int] : (is_common_prefix1(sK0,sK2,X2,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK4(sK0,sK1,sK2,sK3))) | ~$less(sK5(sK0,sK2,X2,sK4(sK0,sK1,sK2,sK3)),0) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_69), 2.51/2.74 inference(resolution,[],[f349,f135])). 2.51/2.74 tff(f452,plain,( 2.51/2.74 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK2,sK4(sK0,sK1,sK2,sK3)) | ~$less(sK5(sK0,X3,sK2,sK4(sK0,sK1,sK2,sK3)),0) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_69), 2.51/2.74 inference(resolution,[],[f349,f135])). 2.51/2.74 tff(f453,plain,( 2.51/2.74 ( ! [X4:$int] : (is_common_prefix1(sK0,sK2,X4,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X4,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK2,X4,sK4(sK0,sK1,sK2,sK3)))))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_69), 2.51/2.74 inference(resolution,[],[f349,f149])). 2.51/2.74 tff(f454,plain,( 2.51/2.74 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK2,sK4(sK0,sK1,sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X5,sK2,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK2,sK4(sK0,sK1,sK2,sK3)))))) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_69), 2.51/2.74 inference(resolution,[],[f349,f149])). 2.51/2.74 tff(f457,plain,( 2.51/2.74 spl6_98 <=> ! [X0 : $int] : (is_common_prefix1(sK0,sK2,X0,sK4(sK0,sK1,sK2,sK3)) | $less(sK5(sK0,sK2,X0,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_98])])). 2.51/2.74 tff(f459,plain,( 2.51/2.74 spl6_64 | spl6_98 | spl6_69), 2.51/2.74 inference(AVATAR_split_clause,[],[f449,f348,f457,f423])). 2.51/2.74 tff(f461,plain,( 2.51/2.74 spl6_100 <=> ! [X1 : $int] : (is_common_prefix1(sK0,X1,sK2,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK4(sK0,sK1,sK2,sK3))) | $less(sK5(sK0,X1,sK2,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_100])])). 2.51/2.74 tff(f463,plain,( 2.51/2.74 spl6_64 | spl6_100 | spl6_69), 2.51/2.74 inference(AVATAR_split_clause,[],[f450,f348,f461,f423])). 2.51/2.74 tff(f465,plain,( 2.51/2.74 spl6_102 <=> ! [X2 : $int] : (is_common_prefix1(sK0,sK2,X2,sK4(sK0,sK1,sK2,sK3)) | ~$less(sK5(sK0,sK2,X2,sK4(sK0,sK1,sK2,sK3)),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_102])])). 2.51/2.74 tff(f467,plain,( 2.51/2.74 spl6_64 | spl6_102 | spl6_69), 2.51/2.74 inference(AVATAR_split_clause,[],[f451,f348,f465,f423])). 2.51/2.74 tff(f469,plain,( 2.51/2.74 spl6_104 <=> ! [X3 : $int] : (is_common_prefix1(sK0,X3,sK2,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | ~$less(sK5(sK0,X3,sK2,sK4(sK0,sK1,sK2,sK3)),0))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_104])])). 2.51/2.74 tff(f471,plain,( 2.51/2.74 spl6_64 | spl6_104 | spl6_69), 2.51/2.74 inference(AVATAR_split_clause,[],[f452,f348,f469,f423])). 2.51/2.74 tff(f473,plain,( 2.51/2.74 spl6_106 <=> ! [X4 : $int] : (is_common_prefix1(sK0,sK2,X4,sK4(sK0,sK1,sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X4,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK2,X4,sK4(sK0,sK1,sK2,sK3)))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_106])])). 2.51/2.74 tff(f475,plain,( 2.51/2.74 spl6_64 | spl6_106 | spl6_69), 2.51/2.74 inference(AVATAR_split_clause,[],[f453,f348,f473,f423])). 2.51/2.74 tff(f477,plain,( 2.51/2.74 spl6_108 <=> ! [X5 : $int] : (is_common_prefix1(sK0,X5,sK2,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK4(sK0,sK1,sK2,sK3))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X5,sK2,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK2,sK4(sK0,sK1,sK2,sK3)))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_108])])). 2.51/2.74 tff(f479,plain,( 2.51/2.74 spl6_64 | spl6_108 | spl6_69), 2.51/2.74 inference(AVATAR_split_clause,[],[f454,f348,f477,f423])). 2.51/2.74 tff(f480,plain,( 2.51/2.74 ~$less(sK4(sK0,sK1,sK2,sK3),sK3) | (~spl6_2 | ~spl6_60)), 2.51/2.74 inference(resolution,[],[f374,f157])). 2.51/2.74 tff(f488,plain,( 2.51/2.74 spl6_111 <=> ~$less(sK4(sK0,sK1,sK2,sK3),sK3)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_111])])). 2.51/2.74 tff(f490,plain,( 2.51/2.74 ~spl6_111 | ~spl6_2 | ~spl6_60), 2.51/2.74 inference(AVATAR_split_clause,[],[f480,f332,f156,f488])). 2.51/2.74 tff(f491,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_common_prefix1(X0,X1,X2,sK3) | ~is_common_prefix1(X0,X1,X2,sK4(sK0,sK1,sK2,sK3)) | $less(sK3,sK4(X0,X1,X2,sK3))) ) | ~spl6_6), 2.51/2.74 inference(resolution,[],[f243,f132])). 2.51/2.74 tff(f501,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_20), 2.51/2.74 inference(resolution,[],[f366,f134])). 2.51/2.74 tff(f502,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_20), 2.51/2.74 inference(resolution,[],[f366,f135])). 2.51/2.74 tff(f503,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_20), 2.51/2.74 inference(resolution,[],[f366,f149])). 2.51/2.74 tff(f505,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_20), 2.51/2.74 inference(evaluation,[],[f503])). 2.51/2.74 tff(f506,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_longest_common_prefix1(X6,X7,X8,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_20), 2.51/2.74 inference(evaluation,[],[f505])). 2.51/2.74 tff(f507,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_20), 2.51/2.74 inference(evaluation,[],[f502])). 2.51/2.74 tff(f508,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (~is_longest_common_prefix1(X3,X4,X5,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_20), 2.51/2.74 inference(evaluation,[],[f507])). 2.51/2.74 tff(f509,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_20), 2.51/2.74 inference(evaluation,[],[f501])). 2.51/2.74 tff(f510,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (~is_longest_common_prefix1(X0,X1,X2,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_20), 2.51/2.74 inference(evaluation,[],[f509])). 2.51/2.74 tff(f512,plain,( 2.51/2.74 spl6_112 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (~is_longest_common_prefix1(X0,X1,X2,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_112])])). 2.51/2.74 tff(f514,plain,( 2.51/2.74 spl6_16 | spl6_112 | ~spl6_20), 2.51/2.74 inference(AVATAR_split_clause,[],[f510,f217,f512,f211])). 2.51/2.74 tff(f516,plain,( 2.51/2.74 spl6_114 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (~is_longest_common_prefix1(X3,X4,X5,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_114])])). 2.51/2.74 tff(f518,plain,( 2.51/2.74 spl6_16 | spl6_114 | ~spl6_20), 2.51/2.74 inference(AVATAR_split_clause,[],[f508,f217,f516,f211])). 2.51/2.74 tff(f520,plain,( 2.51/2.74 spl6_116 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (~is_longest_common_prefix1(X6,X7,X8,sK5(sK0,sK1,sK2,$sum(sK3,1))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_116])])). 2.51/2.74 tff(f522,plain,( 2.51/2.74 spl6_16 | spl6_116 | ~spl6_20), 2.51/2.74 inference(AVATAR_split_clause,[],[f506,f217,f520,f211])). 2.51/2.74 tff(f613,plain,( 2.51/2.74 ( ! [X19:$int,X17:$int,X15:array_int,X20:$int,X18:array_int,X16:$int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK3)))) | ~is_common_prefix1(X15,X16,X17,0) | is_common_prefix1(X18,X19,X20,sK3) | $less(length1(int,t2tb1(X18)),$sum(X20,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK5(X18,X19,X20,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK5(X18,X19,X20,sK3))))) | $less(length1(int,t2tb1(X18)),$sum(X19,sK3))) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f238,f149])). 2.51/2.74 tff(f615,plain,( 2.51/2.74 ( ! [X30:$int,X28:array_int,X33:$int,X31:array_int,X29:$int,X32:$int] : (tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X29,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X28)),t2tb($sum(X30,sK3)))) | ~is_common_prefix1(X28,X29,X30,0) | ~is_common_prefix1(X31,X32,X33,$sum(sK3,1)) | ~$less($sum(X32,sK3),length1(int,t2tb1(X31))) | ~$less($sum(X33,sK3),length1(int,t2tb1(X31))) | tb2t(get(int,int,elts(int,t2tb1(X31)),t2tb($sum(X32,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X31)),t2tb($sum(X33,sK3))))) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f238,f147])). 2.51/2.74 tff(f620,plain,( 2.51/2.74 spl6_118 <=> ! [X18 : array_int,X20 : $int,X19 : $int] : (is_common_prefix1(X18,X19,X20,sK3) | $less(length1(int,t2tb1(X18)),$sum(X19,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X19,sK5(X18,X19,X20,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X18)),t2tb($sum(X20,sK5(X18,X19,X20,sK3))))) | $less(length1(int,t2tb1(X18)),$sum(X20,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_118])])). 2.51/2.74 tff(f623,plain,( 2.51/2.74 spl6_120 <=> ! [X16 : $int,X15 : array_int,X17 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X16,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X15)),t2tb($sum(X17,sK3)))) | ~is_common_prefix1(X15,X16,X17,0))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_120])])). 2.51/2.74 tff(f625,plain,( 2.51/2.74 spl6_118 | spl6_120 | spl6_11), 2.51/2.74 inference(AVATAR_split_clause,[],[f613,f189,f623,f620])). 2.51/2.74 tff(f627,plain,( 2.51/2.74 spl6_122 <=> ! [X32 : $int,X31 : array_int,X33 : $int] : (~is_common_prefix1(X31,X32,X33,$sum(sK3,1)) | tb2t(get(int,int,elts(int,t2tb1(X31)),t2tb($sum(X32,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X31)),t2tb($sum(X33,sK3)))) | ~$less($sum(X33,sK3),length1(int,t2tb1(X31))) | ~$less($sum(X32,sK3),length1(int,t2tb1(X31))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_122])])). 2.51/2.74 tff(f629,plain,( 2.51/2.74 spl6_122 | spl6_120 | spl6_11), 2.51/2.74 inference(AVATAR_split_clause,[],[f615,f189,f623,f627])). 2.51/2.74 tff(f630,plain,( 2.51/2.74 tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK3)))) | is_longest_common_prefix1(sK0,sK1,sK2,sK3) | ~is_common_prefix1(sK0,sK1,sK2,sK3) | ~spl6_30), 2.51/2.74 inference(resolution,[],[f249,f133])). 2.51/2.74 tff(f631,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3)))) | $less(length1(int,t2tb1(X0)),$sum(X2,sK4(sK0,sK1,sK2,sK3))) | $less(sK5(X0,X1,X2,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(X0)),$sum(X1,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_30), 2.51/2.74 inference(resolution,[],[f249,f134])). 2.51/2.74 tff(f632,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | $less(length1(int,t2tb1(X3)),$sum(X5,sK4(sK0,sK1,sK2,sK3))) | ~$less(sK5(X3,X4,X5,sK4(sK0,sK1,sK2,sK3)),0) | $less(length1(int,t2tb1(X3)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_30), 2.51/2.74 inference(resolution,[],[f249,f135])). 2.51/2.74 tff(f633,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK3)))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK4(sK0,sK1,sK2,sK3))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,sK4(sK0,sK1,sK2,sK3)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_30), 2.51/2.74 inference(resolution,[],[f249,f149])). 2.51/2.74 tff(f635,plain,( 2.51/2.74 tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK3)))) | (~spl6_8 | ~spl6_30)), 2.51/2.74 inference(resolution,[],[f249,f174])). 2.51/2.74 tff(f637,plain,( 2.51/2.74 spl6_124 <=> tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_124])])). 2.51/2.74 tff(f639,plain,( 2.51/2.74 ~spl6_3 | spl6_0 | spl6_124 | ~spl6_30), 2.51/2.74 inference(AVATAR_split_clause,[],[f630,f248,f637,f184,f169])). 2.51/2.74 tff(f641,plain,( 2.51/2.74 spl6_126 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3)))) | $less(length1(int,t2tb1(X0)),$sum(X1,sK4(sK0,sK1,sK2,sK3))) | $less(sK5(X0,X1,X2,sK4(sK0,sK1,sK2,sK3)),sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(X0)),$sum(X2,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_126])])). 2.51/2.74 tff(f643,plain,( 2.51/2.74 spl6_64 | spl6_126 | ~spl6_30), 2.51/2.74 inference(AVATAR_split_clause,[],[f631,f248,f641,f423])). 2.51/2.74 tff(f645,plain,( 2.51/2.74 spl6_128 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK3)))) | $less(length1(int,t2tb1(X3)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | ~$less(sK5(X3,X4,X5,sK4(sK0,sK1,sK2,sK3)),0) | $less(length1(int,t2tb1(X3)),$sum(X5,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_128])])). 2.51/2.74 tff(f647,plain,( 2.51/2.74 spl6_64 | spl6_128 | ~spl6_30), 2.51/2.74 inference(AVATAR_split_clause,[],[f632,f248,f645,f423])). 2.51/2.74 tff(f649,plain,( 2.51/2.74 spl6_130 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK3)))) | $less(length1(int,t2tb1(X6)),$sum(X7,sK4(sK0,sK1,sK2,sK3))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,sK4(sK0,sK1,sK2,sK3)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,sK4(sK0,sK1,sK2,sK3)))))) | $less(length1(int,t2tb1(X6)),$sum(X8,sK4(sK0,sK1,sK2,sK3))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_130])])). 2.51/2.74 tff(f651,plain,( 2.51/2.74 spl6_64 | spl6_130 | ~spl6_30), 2.51/2.74 inference(AVATAR_split_clause,[],[f633,f248,f649,f423])). 2.51/2.74 tff(f652,plain,( 2.51/2.74 spl6_124 | ~spl6_8 | ~spl6_30), 2.51/2.74 inference(AVATAR_split_clause,[],[f635,f248,f173,f637])). 2.51/2.74 tff(f666,plain,( 2.51/2.74 $less(sK3,0) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK3)))) | is_longest_common_prefix1(sK0,sK1,sK2,sK3) | ~is_common_prefix1(sK0,sK1,sK2,sK3) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f327,f132])). 2.51/2.74 tff(f668,plain,( 2.51/2.74 $less(sK3,0) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK3)))) | (~spl6_6 | ~spl6_8)), 2.51/2.74 inference(resolution,[],[f327,f167])). 2.51/2.74 tff(f669,plain,( 2.51/2.74 ( ! [X4:$int,X2:array_int,X3:$int] : ($less(sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)),0) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)))))) | is_common_prefix1(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f327,f134])). 2.51/2.74 tff(f670,plain,( 2.51/2.74 ~spl6_3 | spl6_0 | spl6_124 | spl6_10 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f666,f173,f245,f637,f184,f169])). 2.51/2.74 tff(f671,plain,( 2.51/2.74 spl6_124 | spl6_10 | ~spl6_6 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f668,f173,f166,f245,f637])). 2.51/2.74 tff(f673,plain,( 2.51/2.74 spl6_132 <=> ! [X3 : $int,X2 : array_int,X4 : $int] : ($less(sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)),0) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | is_common_prefix1(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_132])])). 2.51/2.74 tff(f675,plain,( 2.51/2.74 spl6_64 | spl6_132 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f669,f173,f673,f423])). 2.51/2.74 tff(f678,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_70), 2.51/2.74 inference(resolution,[],[f372,f134])). 2.51/2.74 tff(f679,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_70), 2.51/2.74 inference(resolution,[],[f372,f135])). 2.51/2.74 tff(f680,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_70), 2.51/2.74 inference(resolution,[],[f372,f149])). 2.51/2.74 tff(f682,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_70), 2.51/2.74 inference(evaluation,[],[f680])). 2.51/2.74 tff(f683,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_70), 2.51/2.74 inference(evaluation,[],[f682])). 2.51/2.74 tff(f684,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_70), 2.51/2.74 inference(evaluation,[],[f679])). 2.51/2.74 tff(f685,plain,( 2.51/2.74 ( ! [X4:$int,X5:$int,X3:array_int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_70), 2.51/2.74 inference(evaluation,[],[f684])). 2.51/2.74 tff(f686,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_70), 2.51/2.74 inference(evaluation,[],[f678])). 2.51/2.74 tff(f687,plain,( 2.51/2.74 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_70), 2.51/2.74 inference(evaluation,[],[f686])). 2.51/2.74 tff(f689,plain,( 2.51/2.74 spl6_134 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X0)),$sum(X1,$sum(sK3,1))) | $less(sK5(X0,X1,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X0)),$sum(X2,$sum(sK3,1))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_134])])). 2.51/2.74 tff(f691,plain,( 2.51/2.74 spl6_16 | spl6_134 | ~spl6_70), 2.51/2.74 inference(AVATAR_split_clause,[],[f687,f371,f689,f211])). 2.51/2.74 tff(f693,plain,( 2.51/2.74 spl6_136 <=> ! [X3 : array_int,X5 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X3)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X3)),$sum(X4,$sum(sK3,1))) | ~$less(sK5(X3,X4,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X3)),$sum(X5,$sum(sK3,1))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_136])])). 2.51/2.74 tff(f695,plain,( 2.51/2.74 spl6_16 | spl6_136 | ~spl6_70), 2.51/2.74 inference(AVATAR_split_clause,[],[f685,f371,f693,f211])). 2.51/2.74 tff(f697,plain,( 2.51/2.74 spl6_138 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X7,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X7,sK5(X6,X7,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X6)),t2tb($sum(X8,sK5(X6,X7,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X6)),$sum(X8,$sum(sK3,1))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_138])])). 2.51/2.74 tff(f699,plain,( 2.51/2.74 spl6_16 | spl6_138 | ~spl6_70), 2.51/2.74 inference(AVATAR_split_clause,[],[f683,f371,f697,f211])). 2.51/2.74 tff(f727,plain,( 2.51/2.74 ( ! [X4:$int,X2:array_int,X3:$int] : (~is_common_prefix1(sK0,sK1,sK2,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3))) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)))) | is_common_prefix1(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | $less(sK4(sK0,sK1,sK2,sK3),0)) ) | ~spl6_8), 2.51/2.74 inference(resolution,[],[f409,f134])). 2.51/2.74 tff(f730,plain,( 2.51/2.74 spl6_140 <=> ! [X3 : $int,X2 : array_int,X4 : $int] : (~is_common_prefix1(sK0,sK1,sK2,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3))) | $less(length1(int,t2tb1(X2)),$sum(X3,sK4(sK0,sK1,sK2,sK3))) | $less(length1(int,t2tb1(X2)),$sum(X4,sK4(sK0,sK1,sK2,sK3))) | is_common_prefix1(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK5(X2,X3,X4,sK4(sK0,sK1,sK2,sK3)))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_140])])). 2.51/2.74 tff(f732,plain,( 2.51/2.74 spl6_64 | spl6_140 | ~spl6_8), 2.51/2.74 inference(AVATAR_split_clause,[],[f727,f173,f730,f423])). 2.51/2.74 tff(f742,plain,( 2.51/2.74 ( ! [X2:$int,X0:$int,X1:array_int] : (~$less($sum(X0,sK3),length1(int,t2tb1(X1))) | ~$less($sum(X2,sK3),length1(int,t2tb1(X1))) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X2,sK3)))) | $less(length1(int,t2tb1(X1)),$sum(X2,$sum(sK3,1))) | $less(sK5(X1,X0,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X1)),$sum(X0,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f239,f134])). 2.51/2.74 tff(f743,plain,( 2.51/2.74 ( ! [X4:array_int,X5:$int,X3:$int] : (~$less($sum(X3,sK3),length1(int,t2tb1(X4))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X4))) | tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X3,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X5,sK3)))) | $less(length1(int,t2tb1(X4)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X4,X3,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X4)),$sum(X3,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f239,f135])). 2.51/2.74 tff(f744,plain,( 2.51/2.74 ( ! [X6:$int,X8:$int,X7:array_int] : (~$less($sum(X6,sK3),length1(int,t2tb1(X7))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X7))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK3)))) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK5(X7,X6,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK5(X7,X6,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X7)),$sum(X6,$sum(sK3,1))) | $less($sum(sK3,1),0)) ) | ~spl6_11), 2.51/2.74 inference(resolution,[],[f239,f149])). 2.51/2.74 tff(f746,plain,( 2.51/2.74 ( ! [X6:$int,X8:$int,X7:array_int] : (~$less($sum(X6,sK3),length1(int,t2tb1(X7))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X7))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK3)))) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK5(X7,X6,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK5(X7,X6,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X7)),$sum(X6,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_11), 2.51/2.74 inference(evaluation,[],[f744])). 2.51/2.74 tff(f747,plain,( 2.51/2.74 ( ! [X6:$int,X8:$int,X7:array_int] : (~$less($sum(X6,sK3),length1(int,t2tb1(X7))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X7))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK3)))) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK5(X7,X6,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK5(X7,X6,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X7)),$sum(X6,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_11), 2.51/2.74 inference(evaluation,[],[f746])). 2.51/2.74 tff(f748,plain,( 2.51/2.74 ( ! [X4:array_int,X5:$int,X3:$int] : (~$less($sum(X3,sK3),length1(int,t2tb1(X4))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X4))) | tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X3,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X5,sK3)))) | $less(length1(int,t2tb1(X4)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X4,X3,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X4)),$sum(X3,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_11), 2.51/2.74 inference(evaluation,[],[f743])). 2.51/2.74 tff(f749,plain,( 2.51/2.74 ( ! [X4:array_int,X5:$int,X3:$int] : (~$less($sum(X3,sK3),length1(int,t2tb1(X4))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X4))) | tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X3,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X5,sK3)))) | $less(length1(int,t2tb1(X4)),$sum(X5,$sum(sK3,1))) | ~$less(sK5(X4,X3,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X4)),$sum(X3,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_11), 2.51/2.74 inference(evaluation,[],[f748])). 2.51/2.74 tff(f750,plain,( 2.51/2.74 ( ! [X2:$int,X0:$int,X1:array_int] : (~$less($sum(X0,sK3),length1(int,t2tb1(X1))) | ~$less($sum(X2,sK3),length1(int,t2tb1(X1))) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X2,sK3)))) | $less(length1(int,t2tb1(X1)),$sum(X2,$sum(sK3,1))) | $less(sK5(X1,X0,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X1)),$sum(X0,$sum(sK3,1))) | $less(sK3,$uminus(1))) ) | ~spl6_11), 2.51/2.74 inference(evaluation,[],[f742])). 2.51/2.74 tff(f751,plain,( 2.51/2.74 ( ! [X2:$int,X0:$int,X1:array_int] : (~$less($sum(X0,sK3),length1(int,t2tb1(X1))) | ~$less($sum(X2,sK3),length1(int,t2tb1(X1))) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X2,sK3)))) | $less(length1(int,t2tb1(X1)),$sum(X2,$sum(sK3,1))) | $less(sK5(X1,X0,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X1)),$sum(X0,$sum(sK3,1))) | $less(sK3,-1)) ) | ~spl6_11), 2.51/2.74 inference(evaluation,[],[f750])). 2.51/2.74 tff(f753,plain,( 2.51/2.74 spl6_142 <=> ! [X1 : array_int,X0 : $int,X2 : $int] : (~$less($sum(X0,sK3),length1(int,t2tb1(X1))) | $less(length1(int,t2tb1(X1)),$sum(X0,$sum(sK3,1))) | $less(sK5(X1,X0,X2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(X1)),$sum(X2,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X2,sK3)))) | ~$less($sum(X2,sK3),length1(int,t2tb1(X1))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_142])])). 2.51/2.74 tff(f755,plain,( 2.51/2.74 spl6_16 | spl6_142 | spl6_11), 2.51/2.74 inference(AVATAR_split_clause,[],[f751,f189,f753,f211])). 2.51/2.74 tff(f757,plain,( 2.51/2.74 spl6_144 <=> ! [X3 : $int,X5 : $int,X4 : array_int] : (~$less($sum(X3,sK3),length1(int,t2tb1(X4))) | $less(length1(int,t2tb1(X4)),$sum(X3,$sum(sK3,1))) | ~$less(sK5(X4,X3,X5,$sum(sK3,1)),0) | $less(length1(int,t2tb1(X4)),$sum(X5,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X3,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X4)),t2tb($sum(X5,sK3)))) | ~$less($sum(X5,sK3),length1(int,t2tb1(X4))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_144])])). 2.51/2.74 tff(f759,plain,( 2.51/2.74 spl6_16 | spl6_144 | spl6_11), 2.51/2.74 inference(AVATAR_split_clause,[],[f749,f189,f757,f211])). 2.51/2.74 tff(f761,plain,( 2.51/2.74 spl6_146 <=> ! [X7 : array_int,X8 : $int,X6 : $int] : (~$less($sum(X6,sK3),length1(int,t2tb1(X7))) | $less(length1(int,t2tb1(X7)),$sum(X6,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK5(X7,X6,X8,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK5(X7,X6,X8,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X7)),$sum(X8,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X6,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X7)),t2tb($sum(X8,sK3)))) | ~$less($sum(X8,sK3),length1(int,t2tb1(X7))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_146])])). 2.51/2.74 tff(f763,plain,( 2.51/2.74 spl6_16 | spl6_146 | spl6_11), 2.51/2.74 inference(AVATAR_split_clause,[],[f747,f189,f761,f211])). 2.51/2.74 tff(f766,plain,( 2.51/2.74 ( ! [X6:array_int,X8:$int,X7:$int] : (~is_common_prefix1(X6,X7,X8,sK4(sK0,sK1,sK2,sK3)) | $less(sK3,sK4(X6,X7,X8,sK3)) | $less(length1(int,t2tb1(X6)),$sum(X8,sK3)) | $less(sK5(X6,X7,X8,sK3),sK3) | $less(length1(int,t2tb1(X6)),$sum(X7,sK3)) | $less(sK3,0)) ) | ~spl6_6), 2.51/2.74 inference(resolution,[],[f491,f134])). 2.51/2.74 tff(f767,plain,( 2.51/2.74 ( ! [X10:$int,X11:$int,X9:array_int] : (~is_common_prefix1(X9,X10,X11,sK4(sK0,sK1,sK2,sK3)) | $less(sK3,sK4(X9,X10,X11,sK3)) | $less(length1(int,t2tb1(X9)),$sum(X11,sK3)) | ~$less(sK5(X9,X10,X11,sK3),0) | $less(length1(int,t2tb1(X9)),$sum(X10,sK3)) | $less(sK3,0)) ) | ~spl6_6), 2.51/2.74 inference(resolution,[],[f491,f135])). 2.51/2.74 tff(f768,plain,( 2.51/2.74 ( ! [X14:$int,X12:array_int,X13:$int] : (~is_common_prefix1(X12,X13,X14,sK4(sK0,sK1,sK2,sK3)) | $less(sK3,sK4(X12,X13,X14,sK3)) | $less(length1(int,t2tb1(X12)),$sum(X14,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK5(X12,X13,X14,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK5(X12,X13,X14,sK3))))) | $less(length1(int,t2tb1(X12)),$sum(X13,sK3)) | $less(sK3,0)) ) | ~spl6_6), 2.51/2.74 inference(resolution,[],[f491,f149])). 2.51/2.74 tff(f784,plain,( 2.51/2.74 spl6_148 <=> ! [X7 : $int,X8 : $int,X6 : array_int] : (~is_common_prefix1(X6,X7,X8,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(X6)),$sum(X7,sK3)) | $less(sK5(X6,X7,X8,sK3),sK3) | $less(length1(int,t2tb1(X6)),$sum(X8,sK3)) | $less(sK3,sK4(X6,X7,X8,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_148])])). 2.51/2.74 tff(f786,plain,( 2.51/2.74 spl6_10 | spl6_148 | ~spl6_6), 2.51/2.74 inference(AVATAR_split_clause,[],[f766,f166,f784,f245])). 2.51/2.74 tff(f788,plain,( 2.51/2.74 spl6_150 <=> ! [X9 : array_int,X11 : $int,X10 : $int] : (~is_common_prefix1(X9,X10,X11,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(X9)),$sum(X10,sK3)) | ~$less(sK5(X9,X10,X11,sK3),0) | $less(length1(int,t2tb1(X9)),$sum(X11,sK3)) | $less(sK3,sK4(X9,X10,X11,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_150])])). 2.51/2.74 tff(f790,plain,( 2.51/2.74 spl6_10 | spl6_150 | ~spl6_6), 2.51/2.74 inference(AVATAR_split_clause,[],[f767,f166,f788,f245])). 2.51/2.74 tff(f792,plain,( 2.51/2.74 spl6_152 <=> ! [X13 : $int,X12 : array_int,X14 : $int] : (~is_common_prefix1(X12,X13,X14,sK4(sK0,sK1,sK2,sK3)) | $less(length1(int,t2tb1(X12)),$sum(X13,sK3)) | tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X13,sK5(X12,X13,X14,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(X12)),t2tb($sum(X14,sK5(X12,X13,X14,sK3))))) | $less(length1(int,t2tb1(X12)),$sum(X14,sK3)) | $less(sK3,sK4(X12,X13,X14,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_152])])). 2.51/2.74 tff(f794,plain,( 2.51/2.74 spl6_10 | spl6_152 | ~spl6_6), 2.51/2.74 inference(AVATAR_split_clause,[],[f768,f166,f792,f245])). 2.51/2.74 tff(f800,plain,( 2.51/2.74 ( ! [X21:$int,X22:$int,X20:array_int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X20)),$sum(X22,sK3)) | ~$less(sK5(X20,X21,X22,sK3),0) | $less(length1(int,t2tb1(X20)),$sum(X21,sK3))) ) | (~spl6_11 | ~spl6_25)), 2.51/2.74 inference(resolution,[],[f361,f236])). 2.51/2.74 tff(f801,plain,( 2.51/2.74 ( ! [X24:$int,X23:array_int,X25:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X23)),$sum(X25,sK3)) | $less(sK5(X23,X24,X25,sK3),sK3) | $less(length1(int,t2tb1(X23)),$sum(X24,sK3))) ) | (~spl6_11 | ~spl6_25)), 2.51/2.74 inference(resolution,[],[f361,f235])). 2.51/2.74 tff(f802,plain,( 2.51/2.74 ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | (~spl6_2 | ~spl6_25)), 2.51/2.74 inference(resolution,[],[f361,f157])). 2.51/2.74 tff(f803,plain,( 2.51/2.74 ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK4(sK0,sK1,sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | (~spl6_8 | ~spl6_25)), 2.51/2.74 inference(resolution,[],[f361,f174])). 2.51/2.74 tff(f804,plain,( 2.51/2.74 ( ! [X26:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X26,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X26,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X26,sK5(sK0,sK1,X26,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X26,sK3))) ) | (~spl6_25 | ~spl6_42)), 2.51/2.74 inference(resolution,[],[f361,f284])). 2.51/2.74 tff(f805,plain,( 2.51/2.74 ( ! [X27:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X27,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less(sK5(sK0,sK1,X27,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X27,sK3))) ) | (~spl6_25 | ~spl6_38)), 2.51/2.74 inference(resolution,[],[f361,f276])). 2.51/2.74 tff(f806,plain,( 2.51/2.74 ( ! [X28:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X28,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,X28,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X28,sK3))) ) | (~spl6_25 | ~spl6_34)), 2.51/2.74 inference(resolution,[],[f361,f268])). 2.51/2.74 tff(f807,plain,( 2.51/2.74 ( ! [X29:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X29,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X29,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X29,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X29,sK5(sK0,X29,sK1,sK3)))))) ) | (~spl6_25 | ~spl6_44)), 2.51/2.74 inference(resolution,[],[f361,f288])). 2.51/2.74 tff(f808,plain,( 2.51/2.74 ( ! [X30:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X30,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X30,sK3)) | ~$less(sK5(sK0,X30,sK1,sK3),0)) ) | (~spl6_25 | ~spl6_40)), 2.51/2.74 inference(resolution,[],[f361,f280])). 2.51/2.74 tff(f809,plain,( 2.51/2.74 ( ! [X31:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X31,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X31,sK3)) | $less(sK5(sK0,X31,sK1,sK3),sK3)) ) | (~spl6_25 | ~spl6_36)), 2.51/2.74 inference(resolution,[],[f361,f272])). 2.51/2.74 tff(f810,plain,( 2.51/2.74 ( ! [X32:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X32,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X32,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X32,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X32,sK5(sK0,X32,sK2,sK3)))))) ) | (~spl6_25 | ~spl6_56)), 2.51/2.74 inference(resolution,[],[f361,f319])). 2.51/2.74 tff(f811,plain,( 2.51/2.74 ( ! [X33:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X33,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X33,sK3)) | ~$less(sK5(sK0,X33,sK2,sK3),0)) ) | (~spl6_25 | ~spl6_52)), 2.51/2.74 inference(resolution,[],[f361,f311])). 2.51/2.74 tff(f812,plain,( 2.51/2.74 ( ! [X34:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X34,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X34,sK3)) | $less(sK5(sK0,X34,sK2,sK3),sK3)) ) | (~spl6_25 | ~spl6_48)), 2.51/2.74 inference(resolution,[],[f361,f303])). 2.51/2.74 tff(f813,plain,( 2.51/2.74 ( ! [X35:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X35,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X35,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X35,sK5(sK0,sK2,X35,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X35,sK3))) ) | (~spl6_25 | ~spl6_54)), 2.51/2.74 inference(resolution,[],[f361,f315])). 2.51/2.74 tff(f814,plain,( 2.51/2.74 ( ! [X36:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X36,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less(sK5(sK0,sK2,X36,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X36,sK3))) ) | (~spl6_25 | ~spl6_50)), 2.51/2.74 inference(resolution,[],[f361,f307])). 2.51/2.74 tff(f815,plain,( 2.51/2.74 ( ! [X37:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X37,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK2,X37,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X37,sK3))) ) | (~spl6_25 | ~spl6_46)), 2.51/2.74 inference(resolution,[],[f361,f299])). 2.51/2.74 tff(f817,plain,( 2.51/2.74 spl6_154 <=> ! [X20 : array_int,X22 : $int,X21 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X21,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X20)),t2tb($sum(X22,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X20)),$sum(X21,sK3)) | ~$less(sK5(X20,X21,X22,sK3),0) | $less(length1(int,t2tb1(X20)),$sum(X22,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_154])])). 2.51/2.74 tff(f820,plain,( 2.51/2.74 spl6_157 <=> ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3)), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_157])])). 2.51/2.74 tff(f822,plain,( 2.51/2.74 spl6_154 | ~spl6_157 | spl6_11 | spl6_25), 2.51/2.74 inference(AVATAR_split_clause,[],[f800,f224,f189,f820,f817])). 2.51/2.74 tff(f824,plain,( 2.51/2.74 spl6_158 <=> ! [X25 : $int,X23 : array_int,X24 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X24,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X23)),t2tb($sum(X25,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(X23)),$sum(X24,sK3)) | $less(sK5(X23,X24,X25,sK3),sK3) | $less(length1(int,t2tb1(X23)),$sum(X25,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_158])])). 2.51/2.74 tff(f826,plain,( 2.51/2.74 spl6_158 | ~spl6_157 | spl6_11 | spl6_25), 2.51/2.74 inference(AVATAR_split_clause,[],[f801,f224,f189,f820,f824])). 2.51/2.74 tff(f828,plain,( 2.51/2.74 spl6_26 <=> tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_26])])). 2.51/2.74 tff(f830,plain,( 2.51/2.74 spl6_26 | ~spl6_157 | ~spl6_2 | spl6_25), 2.51/2.74 inference(AVATAR_split_clause,[],[f802,f224,f156,f820,f828])). 2.51/2.74 tff(f832,plain,( 2.51/2.74 spl6_161 <=> ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK4(sK0,sK1,sK2,sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_161])])). 2.51/2.74 tff(f834,plain,( 2.51/2.74 spl6_26 | ~spl6_161 | ~spl6_8 | spl6_25), 2.51/2.74 inference(AVATAR_split_clause,[],[f803,f224,f173,f832,f828])). 2.51/2.74 tff(f836,plain,( 2.51/2.74 spl6_162 <=> ! [X26 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X26,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X26,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X26,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X26,sK5(sK0,sK1,X26,sK3))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_162])])). 2.51/2.74 tff(f838,plain,( 2.51/2.74 spl6_162 | ~spl6_157 | spl6_25 | ~spl6_42), 2.51/2.74 inference(AVATAR_split_clause,[],[f804,f283,f224,f820,f836])). 2.51/2.74 tff(f840,plain,( 2.51/2.74 spl6_164 <=> ! [X27 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X27,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X27,sK3)) | ~$less(sK5(sK0,sK1,X27,sK3),0))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_164])])). 2.51/2.74 tff(f842,plain,( 2.51/2.74 spl6_164 | ~spl6_157 | spl6_25 | ~spl6_38), 2.51/2.74 inference(AVATAR_split_clause,[],[f805,f275,f224,f820,f840])). 2.51/2.74 tff(f844,plain,( 2.51/2.74 spl6_166 <=> ! [X28 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X28,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X28,sK3)) | $less(sK5(sK0,sK1,X28,sK3),sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_166])])). 2.51/2.74 tff(f846,plain,( 2.51/2.74 spl6_166 | ~spl6_157 | spl6_25 | ~spl6_34), 2.51/2.74 inference(AVATAR_split_clause,[],[f806,f267,f224,f820,f844])). 2.51/2.74 tff(f848,plain,( 2.51/2.74 spl6_168 <=> ! [X29 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X29,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X29,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X29,sK5(sK0,X29,sK1,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X29,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_168])])). 2.51/2.74 tff(f850,plain,( 2.51/2.74 spl6_168 | ~spl6_157 | spl6_25 | ~spl6_44), 2.51/2.74 inference(AVATAR_split_clause,[],[f807,f287,f224,f820,f848])). 2.51/2.74 tff(f852,plain,( 2.51/2.74 spl6_170 <=> ! [X30 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X30,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less(sK5(sK0,X30,sK1,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X30,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_170])])). 2.51/2.74 tff(f854,plain,( 2.51/2.74 spl6_170 | ~spl6_157 | spl6_25 | ~spl6_40), 2.51/2.74 inference(AVATAR_split_clause,[],[f808,f279,f224,f820,f852])). 2.51/2.74 tff(f856,plain,( 2.51/2.74 spl6_172 <=> ! [X31 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X31,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,X31,sK1,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X31,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_172])])). 2.51/2.74 tff(f858,plain,( 2.51/2.74 spl6_172 | ~spl6_157 | spl6_25 | ~spl6_36), 2.51/2.74 inference(AVATAR_split_clause,[],[f809,f271,f224,f820,f856])). 2.51/2.74 tff(f860,plain,( 2.51/2.74 spl6_174 <=> ! [X32 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X32,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X32,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X32,sK5(sK0,X32,sK2,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X32,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_174])])). 2.51/2.74 tff(f862,plain,( 2.51/2.74 spl6_174 | ~spl6_157 | spl6_25 | ~spl6_56), 2.51/2.74 inference(AVATAR_split_clause,[],[f810,f318,f224,f820,f860])). 2.51/2.74 tff(f864,plain,( 2.51/2.74 spl6_176 <=> ! [X33 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X33,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less(sK5(sK0,X33,sK2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X33,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_176])])). 2.51/2.74 tff(f866,plain,( 2.51/2.74 spl6_176 | ~spl6_157 | spl6_25 | ~spl6_52), 2.51/2.74 inference(AVATAR_split_clause,[],[f811,f310,f224,f820,f864])). 2.51/2.74 tff(f868,plain,( 2.51/2.74 spl6_178 <=> ! [X34 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X34,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,X34,sK2,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X34,sK3)))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_178])])). 2.51/2.74 tff(f870,plain,( 2.51/2.74 spl6_178 | ~spl6_157 | spl6_25 | ~spl6_48), 2.51/2.74 inference(AVATAR_split_clause,[],[f812,f302,f224,f820,f868])). 2.51/2.74 tff(f872,plain,( 2.51/2.74 spl6_180 <=> ! [X35 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X35,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X35,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X35,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X35,sK5(sK0,sK2,X35,sK3))))))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_180])])). 2.51/2.74 tff(f874,plain,( 2.51/2.74 spl6_180 | ~spl6_157 | spl6_25 | ~spl6_54), 2.51/2.74 inference(AVATAR_split_clause,[],[f813,f314,f224,f820,f872])). 2.51/2.74 tff(f876,plain,( 2.51/2.74 spl6_182 <=> ! [X36 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X36,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X36,sK3)) | ~$less(sK5(sK0,sK2,X36,sK3),0))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_182])])). 2.51/2.74 tff(f878,plain,( 2.51/2.74 spl6_182 | ~spl6_157 | spl6_25 | ~spl6_50), 2.51/2.74 inference(AVATAR_split_clause,[],[f814,f306,f224,f820,f876])). 2.51/2.74 tff(f880,plain,( 2.51/2.74 spl6_184 <=> ! [X37 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X37,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(X37,sK3)) | $less(sK5(sK0,sK2,X37,sK3),sK3))), 2.51/2.74 introduced(AVATAR_definition,[new_symbols(naming,[spl6_184])])). 2.51/2.74 tff(f882,plain,( 2.51/2.74 spl6_184 | ~spl6_157 | spl6_25 | ~spl6_46), 2.51/2.74 inference(AVATAR_split_clause,[],[f815,f298,f224,f820,f880])). 2.51/2.74 tff(f883,plain,( 2.51/2.74 $false), 2.51/2.74 inference(AVATAR_sat_refutation,[],[f154,f158,f162,f171,f175,f186,f187,f191,f195,f199,f222,f226,f230,f234,f250,f258,f269,f273,f277,f281,f285,f289,f300,f304,f308,f312,f316,f320,f334,f338,f342,f346,f350,f373,f381,f389,f393,f400,f404,f413,f428,f432,f436,f440,f444,f448,f459,f463,f467,f471,f475,f479,f490,f514,f518,f522,f625,f629,f639,f643,f647,f651,f652,f670,f671,f675,f691,f695,f699,f732,f755,f759,f763,f786,f790,f794,f822,f826,f830,f834,f838,f842,f846,f850,f854,f858,f862,f866,f870,f874,f878,f882])). 2.51/2.74 % SZS output end Proof for theBenchmark 2.51/2.74 % ------------------------------ 2.51/2.74 % Version: Vampire 4.1 for CASC J8 Entry 2.51/2.74 % Termination reason: Refutation 2.51/2.74 2.51/2.74 % Memory used [KB]: 1407 2.51/2.74 % Time elapsed: 0.048 s 2.51/2.74 % ------------------------------ 2.51/2.74 % ------------------------------ 2.51/2.74 % Success in time 2.488 s 2.51/2.74 EOF