0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.24 % Computer : n152.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 04:48:10 CDT 2018 0.02/0.24 % CPUTime : 0.07/0.28 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.59/0.78 % Time limit reached! 0.59/0.78 % ------------------------------ 0.59/0.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.59/0.78 % Termination reason: Time limit 0.59/0.78 % Termination phase: Saturation 0.59/0.78 0.59/0.78 % Memory used [KB]: 10106 0.59/0.78 % Time elapsed: 0.500 s 0.59/0.78 % ------------------------------ 0.59/0.78 % ------------------------------ 0.59/0.82 % lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_11 on theBenchmark 1.10/1.37 % Refutation found. Thanks to Tanya! 1.10/1.37 % SZS status Theorem for theBenchmark 1.10/1.37 % SZS output start Proof for theBenchmark 1.10/1.37 tff(type_def_5, type, uni: $tType). 1.10/1.37 tff(type_def_6, type, ty: $tType). 1.10/1.37 tff(type_def_7, type, bool1: $tType). 1.10/1.37 tff(type_def_8, type, tuple02: $tType). 1.10/1.37 tff(type_def_9, type, list_int: $tType). 1.10/1.37 tff(type_def_10, type, option_int: $tType). 1.10/1.37 tff(func_def_0, type, witness1: ty > uni). 1.10/1.37 tff(func_def_1, type, int: ty). 1.10/1.37 tff(func_def_2, type, real: ty). 1.10/1.37 tff(func_def_3, type, bool: ty). 1.10/1.37 tff(func_def_4, type, true1: bool1). 1.10/1.37 tff(func_def_5, type, false1: bool1). 1.10/1.37 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 1.10/1.37 tff(func_def_7, type, tuple0: ty). 1.10/1.37 tff(func_def_8, type, tuple03: tuple02). 1.10/1.37 tff(func_def_9, type, qtmark: ty). 1.10/1.37 tff(func_def_10, type, list: ty > ty). 1.10/1.37 tff(func_def_11, type, nil: ty > uni). 1.10/1.37 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 1.10/1.37 tff(func_def_13, type, match_list1: (ty * ty * uni * uni * uni) > uni). 1.10/1.37 tff(func_def_14, type, cons_proj_11: (ty * uni) > uni). 1.10/1.37 tff(func_def_15, type, cons_proj_21: (ty * uni) > uni). 1.10/1.37 tff(func_def_16, type, length1: (ty * uni) > $int). 1.10/1.37 tff(func_def_17, type, option: ty > ty). 1.10/1.37 tff(func_def_18, type, none: ty > uni). 1.10/1.37 tff(func_def_19, type, some: (ty * uni) > uni). 1.10/1.37 tff(func_def_20, type, match_option1: (ty * ty * uni * uni * uni) > uni). 1.10/1.37 tff(func_def_21, type, some_proj_11: (ty * uni) > uni). 1.10/1.37 tff(func_def_22, type, nth1: (ty * $int * uni) > uni). 1.10/1.37 tff(func_def_23, type, t2tb: option_int > uni). 1.10/1.37 tff(func_def_24, type, tb2t: uni > option_int). 1.10/1.37 tff(func_def_25, type, t2tb1: list_int > uni). 1.10/1.37 tff(func_def_26, type, tb2t1: uni > list_int). 1.10/1.37 tff(func_def_27, type, t2tb2: $int > uni). 1.10/1.37 tff(func_def_28, type, tb2t2: uni > $int). 1.10/1.37 tff(func_def_29, type, ref: ty > ty). 1.10/1.37 tff(func_def_30, type, mk_ref: (ty * uni) > uni). 1.10/1.37 tff(func_def_31, type, contents: (ty * uni) > uni). 1.10/1.37 tff(func_def_32, type, hd: (ty * uni) > uni). 1.10/1.37 tff(func_def_33, type, tl: (ty * uni) > uni). 1.10/1.37 tff(func_def_40, type, sK0: list_int). 1.10/1.37 tff(func_def_41, type, sK1: list_int). 1.10/1.37 tff(func_def_42, type, sK2: $int). 1.10/1.37 tff(func_def_43, type, sK3: $int). 1.10/1.37 tff(func_def_44, type, sK4: $int). 1.10/1.37 tff(func_def_45, type, sK5: list_int). 1.10/1.37 tff(func_def_46, type, sK6: list_int > $int). 1.10/1.37 tff(func_def_47, type, sK7: (list_int * $int) > $int). 1.10/1.37 tff(pred_def_1, type, sort1: (ty * uni) > $o). 1.10/1.37 tff(pred_def_2, type, zero_at1: (list_int * $int) > $o). 1.10/1.37 tff(pred_def_3, type, no_zero1: list_int > $o). 1.10/1.37 tff(f2,axiom,( 1.10/1.37 ! [X0 : ty,X5 : uni] : $lesseq(0,length1(X0,X5))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_nonnegative)). 1.10/1.37 tff(f3,axiom,( 1.10/1.37 ! [X6 : $int,X7 : $int,X2 : $int] : ($lesseq(X6,X7) => ($lesseq(0,X2) => $lesseq($product(X6,X2),$product(X7,X2))))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatOrderMult)). 1.10/1.37 tff(f4,axiom,( 1.10/1.37 ! [X0 : ty,X4 : uni] : (sort1(X0,X4) => some_proj_11(X0,some(X0,X4)) = X4)), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_proj_1_def1)). 1.10/1.37 tff(f6,axiom,( 1.10/1.37 ! [X0 : ty,X4 : uni] : (cons(X0,cons_proj_11(X0,X4),cons_proj_21(X0,X4)) = X4 | nil(X0) = X4)), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',list_inversion1)). 1.10/1.37 tff(f10,axiom,( 1.10/1.37 ! [X0 : ty,X9 : uni] : none(X0) != some(X0,X9)), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',none_Some1)). 1.10/1.37 tff(f12,axiom,( 1.10/1.37 true1 != false1), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False)). 1.10/1.37 tff(f18,axiom,( 1.10/1.37 ! [X10 : uni] : t2tb(tb2t(X10)) = X10), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR)). 1.10/1.37 tff(f24,axiom,( 1.10/1.37 ! [X5 : list_int,X8 : $int] : (zero_at1(X5,X8) <=> (! [X10 : $int] : (($less(X10,X8) & $lesseq(0,X10)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(X5)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X8,t2tb1(X5)))))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_at_def)). 1.10/1.37 tff(f26,axiom,( 1.10/1.37 ! [X8 : list_int] : tb2t1(t2tb1(X8)) = X8), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL1)). 1.10/1.37 tff(f27,axiom,( 1.10/1.37 ! [X0 : ty] : (none(X0) = hd(X0,nil(X0)) & ! [X6 : uni,X11 : uni] : some(X0,X6) = hd(X0,cons(X0,X6,X11)))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hd_def)). 1.10/1.37 tff(f28,axiom,( 1.10/1.37 ! [X10 : uni] : t2tb1(tb2t1(X10)) = X10), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)). 1.10/1.37 tff(f31,axiom,( 1.10/1.37 ! [X0 : ty,X9 : uni,X14 : uni] : nil(X0) != cons(X0,X9,X14)), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nil_Cons1)). 1.10/1.37 tff(f33,axiom,( 1.10/1.37 ! [X0 : ty] : (length1(X0,nil(X0)) = 0 & ! [X6 : uni,X11 : uni] : length1(X0,cons(X0,X6,X11)) = $sum(1,length1(X0,X11)))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def)). 1.10/1.37 tff(f34,axiom,( 1.10/1.37 ! [X0 : ty] : (! [X6 : uni,X11 : uni] : some(list(X0),X11) = tl(X0,cons(X0,X6,X11)) & none(list(X0)) = tl(X0,nil(X0)))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tl_def)). 1.10/1.37 tff(f36,axiom,( 1.10/1.37 ! [X6 : list_int] : sort1(list(int),t2tb1(X6))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort4)). 1.10/1.37 tff(f38,conjecture,( 1.10/1.37 ! [X5 : list_int,X15 : list_int,X8 : $int] : (($lesseq(0,X8) & ! [X10 : $int] : ($lesseq(0,X10) => tb2t(nth1(int,X10,t2tb1(X15))) = tb2t(nth1(int,$sum(X8,X10),t2tb1(X5)))) & ! [X10 : $int] : (($less(X10,X8) & $lesseq(0,X10)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(X5)))) & length1(int,t2tb1(X5)) = $sum(X8,length1(int,t2tb1(X15)))) => (tb2t1(nil(int)) != X15 => (tb2t1(nil(int)) != X15 => ! [X16 : $int] : (? [X6 : $int,X11 : list_int] : (X6 = X16 & tb2t1(cons(int,t2tb2(X6),t2tb1(X11))) = X15) => (0 = X16 => (($lesseq(0,X8) & $less(X8,length1(int,t2tb1(X5))) & zero_at1(X5,X8)) | (no_zero1(X5) & length1(int,t2tb1(X5)) = X8)))))))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_search_loop)). 1.10/1.37 tff(f39,negated_conjecture,( 1.10/1.37 ~! [X5 : list_int,X15 : list_int,X8 : $int] : (($lesseq(0,X8) & ! [X10 : $int] : ($lesseq(0,X10) => tb2t(nth1(int,X10,t2tb1(X15))) = tb2t(nth1(int,$sum(X8,X10),t2tb1(X5)))) & ! [X10 : $int] : (($less(X10,X8) & $lesseq(0,X10)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(X5)))) & length1(int,t2tb1(X5)) = $sum(X8,length1(int,t2tb1(X15)))) => (tb2t1(nil(int)) != X15 => (tb2t1(nil(int)) != X15 => ! [X16 : $int] : (? [X6 : $int,X11 : list_int] : (X6 = X16 & tb2t1(cons(int,t2tb2(X6),t2tb1(X11))) = X15) => (0 = X16 => (($lesseq(0,X8) & $less(X8,length1(int,t2tb1(X5))) & zero_at1(X5,X8)) | (no_zero1(X5) & length1(int,t2tb1(X5)) = X8)))))))), 1.10/1.37 inference(negated_conjecture,[],[f38])). 1.10/1.37 tff(f42,axiom,( 1.10/1.37 ! [X0 : ty,X4 : uni,X13 : uni] : cons_proj_21(X0,cons(X0,X4,X13)) = X13), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_2_def1)). 1.10/1.37 tff(f45,axiom,( 1.10/1.37 ! [X0 : ty,X4 : uni,X13 : uni] : (sort1(X0,X4) => cons_proj_11(X0,cons(X0,X4,X13)) = X4)), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_1_def1)). 1.10/1.37 tff(f48,axiom,( 1.10/1.37 ! [X6 : $int] : sort1(int,t2tb2(X6))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort5)). 1.10/1.37 tff(f49,axiom,( 1.10/1.37 ! [X5 : list_int] : (! [X10 : $int] : (($less(X10,length1(int,t2tb1(X5))) & $lesseq(0,X10)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(X5)))) <=> no_zero1(X5))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_zero_def)). 1.10/1.37 tff(f53,axiom,( 1.10/1.37 ! [X0 : ty,X17 : $int] : (none(X0) = nth1(X0,X17,nil(X0)) & ! [X6 : uni,X11 : uni] : ((0 = X17 => some(X0,X6) = nth1(X0,X17,cons(X0,X6,X11))) & (0 != X17 => nth1(X0,$difference(X17,1),X11) = nth1(X0,X17,cons(X0,X6,X11)))))), 1.10/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nth_def)). 1.10/1.37 tff(f55,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f56,plain,( 1.10/1.37 ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f57,plain,( 1.10/1.37 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f58,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f59,plain,( 1.10/1.37 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f60,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,X0)) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f61,plain,( 1.10/1.37 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f62,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f63,plain,( 1.10/1.37 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f64,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f65,plain,( 1.10/1.37 ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f68,plain,( 1.10/1.37 ( ! [X0:$int] : ($product(X0,1) = X0) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f72,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 1.10/1.37 introduced(theory_axiom,[])). 1.10/1.37 tff(f73,plain,( 1.10/1.37 ~! [X5 : list_int,X15 : list_int,X8 : $int] : ((~$less(X8,0) & ! [X10 : $int] : (~$less(X10,0) => tb2t(nth1(int,X10,t2tb1(X15))) = tb2t(nth1(int,$sum(X8,X10),t2tb1(X5)))) & ! [X10 : $int] : (($less(X10,X8) & ~$less(X10,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(X5)))) & length1(int,t2tb1(X5)) = $sum(X8,length1(int,t2tb1(X15)))) => (tb2t1(nil(int)) != X15 => (tb2t1(nil(int)) != X15 => ! [X16 : $int] : (? [X6 : $int,X11 : list_int] : (X6 = X16 & tb2t1(cons(int,t2tb2(X6),t2tb1(X11))) = X15) => (0 = X16 => ((~$less(X8,0) & $less(X8,length1(int,t2tb1(X5))) & zero_at1(X5,X8)) | (no_zero1(X5) & length1(int,t2tb1(X5)) = X8)))))))), 1.10/1.37 inference(evaluation,[],[f39])). 1.10/1.37 tff(f74,plain,( 1.10/1.37 ! [X5 : list_int] : (! [X10 : $int] : (($less(X10,length1(int,t2tb1(X5))) & ~$less(X10,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(X5)))) <=> no_zero1(X5))), 1.10/1.37 inference(evaluation,[],[f49])). 1.10/1.37 tff(f75,plain,( 1.10/1.37 ! [X0 : ty,X5 : uni] : ~$less(length1(X0,X5),0)), 1.10/1.37 inference(evaluation,[],[f2])). 1.10/1.37 tff(f76,plain,( 1.10/1.37 ! [X0 : ty,X17 : $int] : (none(X0) = nth1(X0,X17,nil(X0)) & ! [X6 : uni,X11 : uni] : ((0 = X17 => some(X0,X6) = nth1(X0,X17,cons(X0,X6,X11))) & (0 != X17 => nth1(X0,$sum(X17,$uminus(1)),X11) = nth1(X0,X17,cons(X0,X6,X11)))))), 1.10/1.37 inference(evaluation,[],[f53])). 1.10/1.37 tff(f77,plain,( 1.10/1.37 ! [X5 : list_int,X8 : $int] : (zero_at1(X5,X8) <=> (! [X10 : $int] : (($less(X10,X8) & ~$less(X10,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X10,t2tb1(X5)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X8,t2tb1(X5)))))), 1.10/1.37 inference(evaluation,[],[f24])). 1.10/1.37 tff(f78,plain,( 1.10/1.37 ! [X6 : $int,X7 : $int,X2 : $int] : (~$less(X7,X6) => (~$less(X2,0) => ~$less($product(X7,X2),$product(X6,X2))))), 1.10/1.37 inference(evaluation,[],[f3])). 1.10/1.37 tff(f79,plain,( 1.10/1.37 ~! [X0 : list_int,X1 : list_int,X2 : $int] : ((~$less(X2,0) & ! [X3 : $int] : (~$less(X3,0) => tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0)))) & ! [X4 : $int] : (($less(X4,X2) & ~$less(X4,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0)))) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1)))) => (tb2t1(nil(int)) != X1 => (tb2t1(nil(int)) != X1 => ! [X5 : $int] : (? [X6 : $int,X7 : list_int] : (X5 = X6 & tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1) => (0 = X5 => ((~$less(X2,0) & $less(X2,length1(int,t2tb1(X0))) & zero_at1(X0,X2)) | (no_zero1(X0) & length1(int,t2tb1(X0)) = X2)))))))), 1.10/1.37 inference(rectify,[],[f73])). 1.10/1.37 tff(f81,plain,( 1.10/1.37 ! [X0 : $int] : sort1(int,t2tb2(X0))), 1.10/1.37 inference(rectify,[],[f48])). 1.10/1.37 tff(f83,plain,( 1.10/1.37 ! [X0 : list_int] : tb2t1(t2tb1(X0)) = X0), 1.10/1.37 inference(rectify,[],[f26])). 1.10/1.37 tff(f85,plain,( 1.10/1.37 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 1.10/1.37 inference(rectify,[],[f18])). 1.10/1.37 tff(f86,plain,( 1.10/1.37 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 1.10/1.37 inference(rectify,[],[f28])). 1.10/1.37 tff(f88,plain,( 1.10/1.37 ! [X0 : list_int] : sort1(list(int),t2tb1(X0))), 1.10/1.37 inference(rectify,[],[f36])). 1.10/1.37 tff(f90,plain,( 1.10/1.37 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : some(list(X0),X2) = tl(X0,cons(X0,X1,X2)) & none(list(X0)) = tl(X0,nil(X0)))), 1.10/1.37 inference(rectify,[],[f34])). 1.10/1.37 tff(f91,plain,( 1.10/1.37 ! [X0 : ty] : (none(X0) = hd(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : some(X0,X1) = hd(X0,cons(X0,X1,X2)))), 1.10/1.37 inference(rectify,[],[f27])). 1.10/1.37 tff(f92,plain,( 1.10/1.37 ! [X0 : ty] : (length1(X0,nil(X0)) = 0 & ! [X1 : uni,X2 : uni] : length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)))), 1.10/1.37 inference(rectify,[],[f33])). 1.10/1.37 tff(f94,plain,( 1.10/1.37 ! [X0 : list_int] : (! [X1 : $int] : (($less(X1,length1(int,t2tb1(X0))) & ~$less(X1,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) <=> no_zero1(X0))), 1.10/1.37 inference(rectify,[],[f74])). 1.10/1.37 tff(f95,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni] : ~$less(length1(X0,X1),0)), 1.10/1.37 inference(rectify,[],[f75])). 1.10/1.37 tff(f99,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni] : none(X0) != some(X0,X1)), 1.10/1.37 inference(rectify,[],[f10])). 1.10/1.37 tff(f105,plain,( 1.10/1.37 ! [X0 : ty,X1 : $int] : (none(X0) = nth1(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((0 = X1 => some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3))) & (0 != X1 => nth1(X0,$sum(X1,$uminus(1)),X3) = nth1(X0,X1,cons(X0,X2,X3)))))), 1.10/1.37 inference(rectify,[],[f76])). 1.10/1.37 tff(f106,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1 | nil(X0) = X1)), 1.10/1.37 inference(rectify,[],[f6])). 1.10/1.37 tff(f108,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni] : (sort1(X0,X1) => some_proj_11(X0,some(X0,X1)) = X1)), 1.10/1.37 inference(rectify,[],[f4])). 1.10/1.37 tff(f111,plain,( 1.10/1.37 ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) <=> (! [X2 : $int] : (($less(X2,X1) & ~$less(X2,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))))), 1.10/1.37 inference(rectify,[],[f77])). 1.10/1.37 tff(f113,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)), 1.10/1.37 inference(rectify,[],[f31])). 1.10/1.37 tff(f116,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_21(X0,cons(X0,X1,X2)) = X2), 1.10/1.37 inference(rectify,[],[f42])). 1.10/1.37 tff(f117,plain,( 1.10/1.37 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 1.10/1.37 inference(rectify,[],[f78])). 1.10/1.37 tff(f120,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X1) => cons_proj_11(X0,cons(X0,X1,X2)) = X1)), 1.10/1.37 inference(rectify,[],[f45])). 1.10/1.37 tff(f125,plain,( 1.10/1.37 ? [X0 : list_int,X1 : list_int,X2 : $int] : (((? [X5 : $int] : (((($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (~no_zero1(X0) | length1(int,t2tb1(X0)) != X2)) & 0 = X5) & ? [X6 : $int,X7 : list_int] : (X5 = X6 & tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1)) & tb2t1(nil(int)) != X1) & tb2t1(nil(int)) != X1) & (~$less(X2,0) & ! [X3 : $int] : (tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0))) | $less(X3,0)) & ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0))) | (~$less(X4,X2) | $less(X4,0))) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1)))))), 1.10/1.37 inference(ennf_transformation,[],[f79])). 1.10/1.37 tff(f126,plain,( 1.10/1.37 ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X5 : $int] : (($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & 0 = X5 & ? [X6 : $int,X7 : list_int] : (X5 = X6 & tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & ! [X3 : $int] : (tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0))) | $less(X3,0)) & ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0))) | ~$less(X4,X2) | $less(X4,0)) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))))), 1.10/1.37 inference(flattening,[],[f125])). 1.10/1.37 tff(f127,plain,( 1.10/1.37 ! [X0 : list_int] : (! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | (~$less(X1,length1(int,t2tb1(X0))) | $less(X1,0))) <=> no_zero1(X0))), 1.10/1.37 inference(ennf_transformation,[],[f94])). 1.10/1.37 tff(f128,plain,( 1.10/1.37 ! [X0 : list_int] : (! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ~$less(X1,length1(int,t2tb1(X0))) | $less(X1,0)) <=> no_zero1(X0))), 1.10/1.37 inference(flattening,[],[f127])). 1.10/1.37 tff(f129,plain,( 1.10/1.37 ! [X0 : ty,X1 : $int] : (none(X0) = nth1(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3)) | 0 != X1) & (nth1(X0,$sum(X1,$uminus(1)),X3) = nth1(X0,X1,cons(X0,X2,X3)) | 0 = X1)))), 1.10/1.37 inference(ennf_transformation,[],[f105])). 1.10/1.37 tff(f131,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1))), 1.10/1.37 inference(ennf_transformation,[],[f108])). 1.10/1.37 tff(f135,plain,( 1.10/1.37 ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) <=> (! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | (~$less(X2,X1) | $less(X2,0))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))))), 1.10/1.37 inference(ennf_transformation,[],[f111])). 1.10/1.37 tff(f136,plain,( 1.10/1.37 ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) <=> (! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | ~$less(X2,X1) | $less(X2,0)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))))), 1.10/1.37 inference(flattening,[],[f135])). 1.10/1.37 tff(f137,plain,( 1.10/1.37 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 1.10/1.37 inference(ennf_transformation,[],[f117])). 1.10/1.37 tff(f138,plain,( 1.10/1.37 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 1.10/1.37 inference(flattening,[],[f137])). 1.10/1.37 tff(f141,plain,( 1.10/1.37 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1))), 1.10/1.37 inference(ennf_transformation,[],[f120])). 1.10/1.37 tff(f146,plain,( 1.10/1.37 ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X3 : $int] : (($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & 0 = X3 & ? [X4 : $int,X5 : list_int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X6),t2tb1(X0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(X0))) | ~$less(X7,X2) | $less(X7,0)) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))))), 1.10/1.37 inference(rectify,[],[f126])). 1.10/1.37 tff(f147,plain,( 1.10/1.37 ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X3 : $int] : (($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & 0 = X3 & ? [X4 : $int,X5 : list_int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X6),t2tb1(X0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(X0))) | ~$less(X7,X2) | $less(X7,0)) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1)))) => (? [X3 : $int] : (($less(sK2,0) | ~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2)) & (~no_zero1(sK0) | length1(int,t2tb1(sK0)) != sK2) & 0 = X3 & ? [X5 : list_int,X4 : $int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1)) & tb2t1(nil(int)) != sK1 & tb2t1(nil(int)) != sK1 & ~$less(sK2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,X6),t2tb1(sK0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(sK0))) | ~$less(X7,sK2) | $less(X7,0)) & length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1))))), 1.10/1.37 introduced(choice_axiom,[])). 1.10/1.37 tff(f148,plain,( 1.10/1.37 ( ! [X2:$int,X0:list_int,X1:list_int] : (? [X3 : $int] : (($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & 0 = X3 & ? [X4 : $int,X5 : list_int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1)) => (($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & 0 = sK3 & ? [X5 : list_int,X4 : $int] : (sK3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1))) )), 1.10/1.37 introduced(choice_axiom,[])). 1.10/1.37 tff(f149,plain,( 1.10/1.37 ( ! [X3:$int,X1:list_int] : (? [X4 : $int,X5 : list_int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1) => (sK4 = X3 & tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) = X1)) )), 1.10/1.37 introduced(choice_axiom,[])). 1.10/1.37 tff(f150,plain,( 1.10/1.37 (($less(sK2,0) | ~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2)) & (~no_zero1(sK0) | length1(int,t2tb1(sK0)) != sK2) & 0 = sK3 & (sK3 = sK4 & tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) = sK1)) & tb2t1(nil(int)) != sK1 & tb2t1(nil(int)) != sK1 & ~$less(sK2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,X6),t2tb1(sK0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(sK0))) | ~$less(X7,sK2) | $less(X7,0)) & length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1)))), 1.10/1.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f146,f149,f148,f147])). 1.10/1.37 tff(f151,plain,( 1.10/1.37 ! [X0 : list_int] : ((! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ~$less(X1,length1(int,t2tb1(X0))) | $less(X1,0)) | ~no_zero1(X0)) & (no_zero1(X0) | ? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & $less(X1,length1(int,t2tb1(X0))) & ~$less(X1,0))))), 1.10/1.37 inference(nnf_transformation,[],[f128])). 1.10/1.37 tff(f152,plain,( 1.10/1.37 ! [X0 : list_int] : ((! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ~$less(X1,length1(int,t2tb1(X0))) | $less(X1,0)) | ~no_zero1(X0)) & (no_zero1(X0) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,length1(int,t2tb1(X0))) & ~$less(X2,0))))), 1.10/1.37 inference(rectify,[],[f151])). 1.10/1.37 tff(f153,plain,( 1.10/1.37 ! [X0 : list_int] : (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,length1(int,t2tb1(X0))) & ~$less(X2,0)) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & $less(sK6(X0),length1(int,t2tb1(X0))) & ~$less(sK6(X0),0)))), 1.10/1.37 introduced(choice_axiom,[])). 1.10/1.37 tff(f154,plain,( 1.10/1.37 ! [X0 : list_int] : ((! [X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ~$less(X1,length1(int,t2tb1(X0))) | $less(X1,0)) | ~no_zero1(X0)) & (no_zero1(X0) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & $less(sK6(X0),length1(int,t2tb1(X0))) & ~$less(sK6(X0),0))))), 1.10/1.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f152,f153])). 1.10/1.37 tff(f155,plain,( 1.10/1.37 ! [X0 : list_int,X1 : $int] : ((zero_at1(X0,X1) | (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,X1) & ~$less(X2,0)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))))) & ((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | ~$less(X2,X1) | $less(X2,0)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)))), 1.10/1.37 inference(nnf_transformation,[],[f136])). 1.10/1.37 tff(f156,plain,( 1.10/1.37 ! [X0 : list_int,X1 : $int] : ((zero_at1(X0,X1) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,X1) & ~$less(X2,0)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) & ((! [X2 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) | ~$less(X2,X1) | $less(X2,0)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)))), 1.10/1.37 inference(flattening,[],[f155])). 1.10/1.37 tff(f157,plain,( 1.10/1.37 ! [X0 : list_int,X1 : $int] : ((zero_at1(X0,X1) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,X1) & ~$less(X2,0)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) & ((! [X3 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) | ~$less(X3,X1) | $less(X3,0)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)))), 1.10/1.37 inference(rectify,[],[f156])). 1.10/1.37 tff(f158,plain,( 1.10/1.37 ! [X1 : $int,X0 : list_int] : (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & $less(X2,X1) & ~$less(X2,0)) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & $less(sK7(X0,X1),X1) & ~$less(sK7(X0,X1),0)))), 1.10/1.37 introduced(choice_axiom,[])). 1.10/1.37 tff(f159,plain,( 1.10/1.37 ! [X0 : list_int,X1 : $int] : ((zero_at1(X0,X1) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & $less(sK7(X0,X1),X1) & ~$less(sK7(X0,X1),0)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) & ((! [X3 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) | ~$less(X3,X1) | $less(X3,0)) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) | ~zero_at1(X0,X1)))), 1.10/1.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f157,f158])). 1.10/1.37 tff(f161,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1)))), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f162,plain,( 1.10/1.37 ( ! [X7:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(sK0))) | ~$less(X7,sK2) | $less(X7,0)) )), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f163,plain,( 1.10/1.37 ( ! [X6:$int] : (tb2t(nth1(int,X6,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,X6),t2tb1(sK0))) | $less(X6,0)) )), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f164,plain,( 1.10/1.37 ~$less(sK2,0)), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f165,plain,( 1.10/1.37 tb2t1(nil(int)) != sK1), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f166,plain,( 1.10/1.37 tb2t1(nil(int)) != sK1), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f167,plain,( 1.10/1.37 tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) = sK1), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f168,plain,( 1.10/1.37 sK3 = sK4), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f169,plain,( 1.10/1.37 0 = sK3), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f170,plain,( 1.10/1.37 ~no_zero1(sK0) | length1(int,t2tb1(sK0)) != sK2), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f171,plain,( 1.10/1.37 $less(sK2,0) | ~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2)), 1.10/1.37 inference(cnf_transformation,[],[f150])). 1.10/1.37 tff(f172,plain,( 1.10/1.37 true1 != false1), 1.10/1.37 inference(cnf_transformation,[],[f12])). 1.10/1.37 tff(f175,plain,( 1.10/1.37 ( ! [X0:$int] : (sort1(int,t2tb2(X0))) )), 1.10/1.37 inference(cnf_transformation,[],[f81])). 1.10/1.37 tff(f177,plain,( 1.10/1.37 ( ! [X0:list_int] : (tb2t1(t2tb1(X0)) = X0) )), 1.10/1.37 inference(cnf_transformation,[],[f83])). 1.10/1.37 tff(f179,plain,( 1.10/1.37 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 1.10/1.37 inference(cnf_transformation,[],[f85])). 1.10/1.37 tff(f180,plain,( 1.10/1.37 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 1.10/1.37 inference(cnf_transformation,[],[f86])). 1.10/1.37 tff(f182,plain,( 1.10/1.37 ( ! [X0:list_int] : (sort1(list(int),t2tb1(X0))) )), 1.10/1.37 inference(cnf_transformation,[],[f88])). 1.10/1.37 tff(f187,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X1:uni] : (some(list(X0),X2) = tl(X0,cons(X0,X1,X2))) )), 1.10/1.37 inference(cnf_transformation,[],[f90])). 1.10/1.37 tff(f188,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X1:uni] : (some(X0,X1) = hd(X0,cons(X0,X1,X2))) )), 1.10/1.37 inference(cnf_transformation,[],[f91])). 1.10/1.37 tff(f190,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X1:uni] : (length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2))) )), 1.10/1.37 inference(cnf_transformation,[],[f92])). 1.10/1.37 tff(f191,plain,( 1.10/1.37 ( ! [X0:ty] : (length1(X0,nil(X0)) = 0) )), 1.10/1.37 inference(cnf_transformation,[],[f92])). 1.10/1.37 tff(f193,plain,( 1.10/1.37 ( ! [X0:list_int] : (~$less(sK6(X0),0) | no_zero1(X0)) )), 1.10/1.37 inference(cnf_transformation,[],[f154])). 1.10/1.37 tff(f194,plain,( 1.10/1.37 ( ! [X0:list_int] : ($less(sK6(X0),length1(int,t2tb1(X0))) | no_zero1(X0)) )), 1.10/1.37 inference(cnf_transformation,[],[f154])). 1.10/1.37 tff(f195,plain,( 1.10/1.37 ( ! [X0:list_int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) | no_zero1(X0)) )), 1.10/1.37 inference(cnf_transformation,[],[f154])). 1.10/1.37 tff(f196,plain,( 1.10/1.37 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ~$less(X1,length1(int,t2tb1(X0))) | $less(X1,0) | ~no_zero1(X0)) )), 1.10/1.37 inference(cnf_transformation,[],[f154])). 1.10/1.37 tff(f197,plain,( 1.10/1.37 ( ! [X0:ty,X1:uni] : (~$less(length1(X0,X1),0)) )), 1.10/1.37 inference(cnf_transformation,[],[f95])). 1.10/1.37 tff(f201,plain,( 1.10/1.37 ( ! [X0:ty,X1:uni] : (none(X0) != some(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f99])). 1.10/1.37 tff(f207,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (nth1(X0,$sum(X1,$uminus(1)),X3) = nth1(X0,X1,cons(X0,X2,X3)) | 0 = X1) )), 1.10/1.37 inference(cnf_transformation,[],[f129])). 1.10/1.37 tff(f208,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (some(X0,X2) = nth1(X0,X1,cons(X0,X2,X3)) | 0 != X1) )), 1.10/1.37 inference(cnf_transformation,[],[f129])). 1.10/1.37 tff(f209,plain,( 1.10/1.37 ( ! [X0:ty,X1:$int] : (none(X0) = nth1(X0,X1,nil(X0))) )), 1.10/1.37 inference(cnf_transformation,[],[f129])). 1.10/1.37 tff(f210,plain,( 1.10/1.37 ( ! [X0:ty,X1:uni] : (cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1 | nil(X0) = X1) )), 1.10/1.37 inference(cnf_transformation,[],[f106])). 1.10/1.37 tff(f212,plain,( 1.10/1.37 ( ! [X0:ty,X1:uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f131])). 1.10/1.37 tff(f215,plain,( 1.10/1.37 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) | ~zero_at1(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f159])). 1.10/1.37 tff(f216,plain,( 1.10/1.37 ( ! [X0:list_int,X3:$int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) | ~$less(X3,X1) | $less(X3,0) | ~zero_at1(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f159])). 1.10/1.37 tff(f217,plain,( 1.10/1.37 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | ~$less(sK7(X0,X1),0) | zero_at1(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f159])). 1.10/1.37 tff(f218,plain,( 1.10/1.37 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | $less(sK7(X0,X1),X1) | zero_at1(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f159])). 1.10/1.37 tff(f219,plain,( 1.10/1.37 ( ! [X0:list_int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) | zero_at1(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f159])). 1.10/1.37 tff(f222,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X1:uni] : (nil(X0) != cons(X0,X1,X2)) )), 1.10/1.37 inference(cnf_transformation,[],[f113])). 1.10/1.37 tff(f225,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_21(X0,cons(X0,X1,X2)) = X2) )), 1.10/1.37 inference(cnf_transformation,[],[f116])). 1.10/1.37 tff(f226,plain,( 1.10/1.37 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 1.10/1.37 inference(cnf_transformation,[],[f138])). 1.10/1.37 tff(f229,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1)) )), 1.10/1.37 inference(cnf_transformation,[],[f141])). 1.10/1.37 tff(f238,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X3:uni] : (some(X0,X2) = nth1(X0,0,cons(X0,X2,X3))) )), 1.10/1.37 inference(equality_resolution,[],[f208])). 1.10/1.37 tff(f240,plain,( 1.10/1.37 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (nth1(X0,$sum(X1,-1),X3) = nth1(X0,X1,cons(X0,X2,X3)) | 0 = X1) )), 1.10/1.37 inference(evaluation,[],[f207])). 1.10/1.37 tff(f242,plain,( 1.10/1.37 spl8_1 <=> ~zero_at1(sK0,sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])). 1.10/1.37 tff(f243,plain,( 1.10/1.37 ~zero_at1(sK0,sK2) | ~spl8_1), 1.10/1.37 inference(avatar_component_clause,[],[f242])). 1.10/1.37 tff(f245,plain,( 1.10/1.37 spl8_3 <=> ~$less(sK2,length1(int,t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])). 1.10/1.37 tff(f246,plain,( 1.10/1.37 ~$less(sK2,length1(int,t2tb1(sK0))) | ~spl8_3), 1.10/1.37 inference(avatar_component_clause,[],[f245])). 1.10/1.37 tff(f248,plain,( 1.10/1.37 spl8_4 <=> $less(sK2,0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])). 1.10/1.37 tff(f250,plain,( 1.10/1.37 ~spl8_1 | ~spl8_3 | spl8_4), 1.10/1.37 inference(avatar_split_clause,[],[f171,f248,f245,f242])). 1.10/1.37 tff(f252,plain,( 1.10/1.37 spl8_7 <=> length1(int,t2tb1(sK0)) != sK2), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])). 1.10/1.37 tff(f253,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) != sK2 | ~spl8_7), 1.10/1.37 inference(avatar_component_clause,[],[f252])). 1.10/1.37 tff(f255,plain,( 1.10/1.37 spl8_9 <=> ~no_zero1(sK0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_9])])). 1.10/1.37 tff(f257,plain,( 1.10/1.37 ~spl8_7 | ~spl8_9), 1.10/1.37 inference(avatar_split_clause,[],[f170,f255,f252])). 1.10/1.37 tff(f259,plain,( 1.10/1.37 spl8_10 <=> 0 = sK3), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_10])])). 1.10/1.37 tff(f260,plain,( 1.10/1.37 0 = sK3 | ~spl8_10), 1.10/1.37 inference(avatar_component_clause,[],[f259])). 1.10/1.37 tff(f261,plain,( 1.10/1.37 spl8_10), 1.10/1.37 inference(avatar_split_clause,[],[f169,f259])). 1.10/1.37 tff(f263,plain,( 1.10/1.37 spl8_12 <=> sK3 = sK4), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_12])])). 1.10/1.37 tff(f264,plain,( 1.10/1.37 sK3 = sK4 | ~spl8_12), 1.10/1.37 inference(avatar_component_clause,[],[f263])). 1.10/1.37 tff(f265,plain,( 1.10/1.37 spl8_12), 1.10/1.37 inference(avatar_split_clause,[],[f168,f263])). 1.10/1.37 tff(f267,plain,( 1.10/1.37 spl8_14 <=> tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) = sK1), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_14])])). 1.10/1.37 tff(f268,plain,( 1.10/1.37 tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))) = sK1 | ~spl8_14), 1.10/1.37 inference(avatar_component_clause,[],[f267])). 1.10/1.37 tff(f269,plain,( 1.10/1.37 spl8_14), 1.10/1.37 inference(avatar_split_clause,[],[f167,f267])). 1.10/1.37 tff(f271,plain,( 1.10/1.37 spl8_17 <=> tb2t1(nil(int)) != sK1), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_17])])). 1.10/1.37 tff(f273,plain,( 1.10/1.37 ~spl8_17), 1.10/1.37 inference(avatar_split_clause,[],[f166,f271])). 1.10/1.37 tff(f274,plain,( 1.10/1.37 ~spl8_17), 1.10/1.37 inference(avatar_split_clause,[],[f165,f271])). 1.10/1.37 tff(f276,plain,( 1.10/1.37 spl8_5 <=> ~$less(sK2,0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])). 1.10/1.37 tff(f277,plain,( 1.10/1.37 ~$less(sK2,0) | ~spl8_5), 1.10/1.37 inference(avatar_component_clause,[],[f276])). 1.10/1.37 tff(f278,plain,( 1.10/1.37 ~spl8_5), 1.10/1.37 inference(avatar_split_clause,[],[f164,f276])). 1.10/1.37 tff(f280,plain,( 1.10/1.37 spl8_18 <=> length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_18])])). 1.10/1.37 tff(f281,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1))) | ~spl8_18), 1.10/1.37 inference(avatar_component_clause,[],[f280])). 1.10/1.37 tff(f282,plain,( 1.10/1.37 spl8_18), 1.10/1.37 inference(avatar_split_clause,[],[f161,f280])). 1.10/1.37 tff(f284,plain,( 1.10/1.37 spl8_21 <=> true1 != false1), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_21])])). 1.10/1.37 tff(f286,plain,( 1.10/1.37 ~spl8_21), 1.10/1.37 inference(avatar_split_clause,[],[f172,f284])). 1.10/1.37 tff(f287,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(sK2,X0) | ~$less(X0,0)) ) | ~spl8_5), 1.10/1.37 inference(resolution,[],[f277,f61])). 1.10/1.37 tff(f288,plain,( 1.10/1.37 $less(0,sK2) | 0 = sK2 | ~spl8_5), 1.10/1.37 inference(resolution,[],[f277,f62])). 1.10/1.37 tff(f289,plain,( 1.10/1.37 $less(0,sK2) | 0 = sK2 | ~spl8_5), 1.10/1.37 inference(resolution,[],[f277,f62])). 1.10/1.37 tff(f290,plain,( 1.10/1.37 $less(0,$sum(sK2,1)) | ~spl8_5), 1.10/1.37 inference(resolution,[],[f277,f64])). 1.10/1.37 tff(f291,plain,( 1.10/1.37 $less($uminus(1),sK2) | ~spl8_5), 1.10/1.37 inference(evaluation,[],[f290])). 1.10/1.37 tff(f292,plain,( 1.10/1.37 $less(-1,sK2) | ~spl8_5), 1.10/1.37 inference(evaluation,[],[f291])). 1.10/1.37 tff(f294,plain,( 1.10/1.37 spl8_22 <=> 0 = sK2), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_22])])). 1.10/1.37 tff(f295,plain,( 1.10/1.37 0 = sK2 | ~spl8_22), 1.10/1.37 inference(avatar_component_clause,[],[f294])). 1.10/1.37 tff(f297,plain,( 1.10/1.37 spl8_24 <=> $less(0,sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_24])])). 1.10/1.37 tff(f298,plain,( 1.10/1.37 $less(0,sK2) | ~spl8_24), 1.10/1.37 inference(avatar_component_clause,[],[f297])). 1.10/1.37 tff(f299,plain,( 1.10/1.37 spl8_22 | spl8_24 | spl8_5), 1.10/1.37 inference(avatar_split_clause,[],[f288,f276,f297,f294])). 1.10/1.37 tff(f300,plain,( 1.10/1.37 spl8_22 | spl8_24 | spl8_5), 1.10/1.37 inference(avatar_split_clause,[],[f289,f276,f297,f294])). 1.10/1.37 tff(f302,plain,( 1.10/1.37 spl8_26 <=> $less(-1,sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_26])])). 1.10/1.37 tff(f303,plain,( 1.10/1.37 $less(-1,sK2) | ~spl8_26), 1.10/1.37 inference(avatar_component_clause,[],[f302])). 1.10/1.37 tff(f304,plain,( 1.10/1.37 spl8_26 | spl8_5), 1.10/1.37 inference(avatar_split_clause,[],[f292,f276,f302])). 1.10/1.37 tff(f306,plain,( 1.10/1.37 ~zero_at1(sK0,0) | (~spl8_1 | ~spl8_22)), 1.10/1.37 inference(superposition,[],[f243,f295])). 1.10/1.37 tff(f308,plain,( 1.10/1.37 spl8_29 <=> ~zero_at1(sK0,0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_29])])). 1.10/1.37 tff(f310,plain,( 1.10/1.37 ~spl8_29 | spl8_1 | ~spl8_22), 1.10/1.37 inference(avatar_split_clause,[],[f306,f294,f242,f308])). 1.10/1.37 tff(f312,plain,( 1.10/1.37 tb2t1(cons(int,t2tb2(sK3),t2tb1(sK5))) = sK1 | (~spl8_12 | ~spl8_14)), 1.10/1.37 inference(superposition,[],[f268,f264])). 1.10/1.37 tff(f313,plain,( 1.10/1.37 tb2t1(cons(int,t2tb2(0),t2tb1(sK5))) = sK1 | (~spl8_10 | ~spl8_12 | ~spl8_14)), 1.10/1.37 inference(forward_demodulation,[],[f312,f260])). 1.10/1.37 tff(f315,plain,( 1.10/1.37 spl8_30 <=> tb2t1(cons(int,t2tb2(0),t2tb1(sK5))) = sK1), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_30])])). 1.10/1.37 tff(f317,plain,( 1.10/1.37 spl8_30 | ~spl8_10 | ~spl8_12 | ~spl8_14), 1.10/1.37 inference(avatar_split_clause,[],[f313,f267,f263,f259,f315])). 1.10/1.37 tff(f318,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,-1) | $less(X0,sK2)) ) | ~spl8_26), 1.10/1.37 inference(resolution,[],[f303,f61])). 1.10/1.37 tff(f319,plain,( 1.10/1.37 ( ! [X1:$int] : (~$less(sK2,X1) | $less(-1,X1)) ) | ~spl8_26), 1.10/1.37 inference(resolution,[],[f303,f61])). 1.10/1.37 tff(f320,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum(-1,X2),$sum(sK2,X2))) ) | ~spl8_26), 1.10/1.37 inference(resolution,[],[f303,f63])). 1.10/1.37 tff(f328,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) = $sum(0,length1(int,t2tb1(sK1))) | (~spl8_18 | ~spl8_22)), 1.10/1.37 inference(superposition,[],[f281,f295])). 1.10/1.37 tff(f329,plain,( 1.10/1.37 ( ! [X0:$int] : ($sum(length1(int,t2tb1(sK0)),X0) = $sum(sK2,$sum(length1(int,t2tb1(sK1)),X0))) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f56,f281])). 1.10/1.37 tff(f330,plain,( 1.10/1.37 ( ! [X1:$int] : ($less($sum(X1,length1(int,t2tb1(sK1))),length1(int,t2tb1(sK0))) | ~$less(X1,sK2)) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f63,f281])). 1.10/1.37 tff(f331,plain,( 1.10/1.37 ( ! [X2:$int] : ($less(length1(int,t2tb1(sK0)),$sum(X2,length1(int,t2tb1(sK1)))) | ~$less(sK2,X2)) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f63,f281])). 1.10/1.37 tff(f332,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) = length1(int,t2tb1(sK1)) | (~spl8_18 | ~spl8_22)), 1.10/1.37 inference(evaluation,[],[f328])). 1.10/1.37 tff(f334,plain,( 1.10/1.37 spl8_32 <=> length1(int,t2tb1(sK0)) = length1(int,t2tb1(sK1))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_32])])). 1.10/1.37 tff(f335,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) = length1(int,t2tb1(sK1)) | ~spl8_32), 1.10/1.37 inference(avatar_component_clause,[],[f334])). 1.10/1.37 tff(f336,plain,( 1.10/1.37 spl8_32 | ~spl8_18 | ~spl8_22), 1.10/1.37 inference(avatar_split_clause,[],[f332,f294,f280,f334])). 1.10/1.37 tff(f342,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,0) | $less(X0,sK2)) ) | ~spl8_24), 1.10/1.37 inference(resolution,[],[f298,f61])). 1.10/1.37 tff(f343,plain,( 1.10/1.37 ( ! [X1:$int] : (~$less(sK2,X1) | $less(0,X1)) ) | ~spl8_24), 1.10/1.37 inference(resolution,[],[f298,f61])). 1.10/1.37 tff(f344,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum(0,X2),$sum(sK2,X2))) ) | ~spl8_24), 1.10/1.37 inference(resolution,[],[f298,f63])). 1.10/1.37 tff(f345,plain,( 1.10/1.37 ~$less(sK2,$sum(0,1)) | ~spl8_24), 1.10/1.37 inference(resolution,[],[f298,f72])). 1.10/1.37 tff(f346,plain,( 1.10/1.37 ~$less(sK2,1) | ~spl8_24), 1.10/1.37 inference(evaluation,[],[f345])). 1.10/1.37 tff(f349,plain,( 1.10/1.37 spl8_35 <=> ~$less(sK2,1)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_35])])). 1.10/1.37 tff(f350,plain,( 1.10/1.37 ~$less(sK2,1) | ~spl8_35), 1.10/1.37 inference(avatar_component_clause,[],[f349])). 1.10/1.37 tff(f351,plain,( 1.10/1.37 ~spl8_35 | ~spl8_24), 1.10/1.37 inference(avatar_split_clause,[],[f346,f297,f349])). 1.10/1.37 tff(f352,plain,( 1.10/1.37 cons(int,t2tb2(sK4),t2tb1(sK5)) = t2tb1(sK1) | ~spl8_14), 1.10/1.37 inference(superposition,[],[f180,f268])). 1.10/1.37 tff(f353,plain,( 1.10/1.37 cons(int,t2tb2(sK3),t2tb1(sK5)) = t2tb1(sK1) | (~spl8_12 | ~spl8_14)), 1.10/1.37 inference(forward_demodulation,[],[f352,f264])). 1.10/1.37 tff(f354,plain,( 1.10/1.37 cons(int,t2tb2(0),t2tb1(sK5)) = t2tb1(sK1) | (~spl8_10 | ~spl8_12 | ~spl8_14)), 1.10/1.37 inference(forward_demodulation,[],[f353,f260])). 1.10/1.37 tff(f356,plain,( 1.10/1.37 spl8_36 <=> cons(int,t2tb2(0),t2tb1(sK5)) = t2tb1(sK1)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_36])])). 1.10/1.37 tff(f357,plain,( 1.10/1.37 cons(int,t2tb2(0),t2tb1(sK5)) = t2tb1(sK1) | ~spl8_36), 1.10/1.37 inference(avatar_component_clause,[],[f356])). 1.10/1.37 tff(f358,plain,( 1.10/1.37 spl8_36 | ~spl8_10 | ~spl8_12 | ~spl8_14), 1.10/1.37 inference(avatar_split_clause,[],[f354,f267,f263,f259,f356])). 1.10/1.37 tff(f362,plain,( 1.10/1.37 $less(1,sK2) | 1 = sK2 | ~spl8_35), 1.10/1.37 inference(resolution,[],[f350,f62])). 1.10/1.37 tff(f363,plain,( 1.10/1.37 $less(1,sK2) | 1 = sK2 | ~spl8_35), 1.10/1.37 inference(resolution,[],[f350,f62])). 1.10/1.37 tff(f364,plain,( 1.10/1.37 $less(1,$sum(sK2,1)) | ~spl8_35), 1.10/1.37 inference(resolution,[],[f350,f64])). 1.10/1.37 tff(f365,plain,( 1.10/1.37 $less($sum(1,-1),sK2) | ~spl8_35), 1.10/1.37 inference(evaluation,[],[f364])). 1.10/1.37 tff(f366,plain,( 1.10/1.37 $less(0,sK2) | ~spl8_35), 1.10/1.37 inference(evaluation,[],[f365])). 1.10/1.37 tff(f368,plain,( 1.10/1.37 spl8_38 <=> 1 = sK2), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_38])])). 1.10/1.37 tff(f369,plain,( 1.10/1.37 1 = sK2 | ~spl8_38), 1.10/1.37 inference(avatar_component_clause,[],[f368])). 1.10/1.37 tff(f371,plain,( 1.10/1.37 spl8_40 <=> $less(1,sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_40])])). 1.10/1.37 tff(f372,plain,( 1.10/1.37 $less(1,sK2) | ~spl8_40), 1.10/1.37 inference(avatar_component_clause,[],[f371])). 1.10/1.37 tff(f373,plain,( 1.10/1.37 spl8_38 | spl8_40 | spl8_35), 1.10/1.37 inference(avatar_split_clause,[],[f362,f349,f371,f368])). 1.10/1.37 tff(f374,plain,( 1.10/1.37 spl8_38 | spl8_40 | spl8_35), 1.10/1.37 inference(avatar_split_clause,[],[f363,f349,f371,f368])). 1.10/1.37 tff(f380,plain,( 1.10/1.37 ( ! [X2:$int,X0:ty,X1:uni] : (~$less(length1(X0,X1),X2) | ~$less(X2,0)) )), 1.10/1.37 inference(resolution,[],[f197,f61])). 1.10/1.37 tff(f381,plain,( 1.10/1.37 ( ! [X4:uni,X3:ty] : ($less(0,length1(X3,X4)) | length1(X3,X4) = 0) )), 1.10/1.37 inference(resolution,[],[f197,f62])). 1.10/1.37 tff(f383,plain,( 1.10/1.37 ( ! [X8:uni,X7:ty] : ($less(0,$sum(length1(X7,X8),1))) )), 1.10/1.37 inference(resolution,[],[f197,f64])). 1.10/1.37 tff(f384,plain,( 1.10/1.37 ( ! [X8:uni,X7:ty] : ($less($uminus(1),length1(X7,X8))) )), 1.10/1.37 inference(evaluation,[],[f383])). 1.10/1.37 tff(f385,plain,( 1.10/1.37 ( ! [X8:uni,X7:ty] : ($less(-1,length1(X7,X8))) )), 1.10/1.37 inference(evaluation,[],[f384])). 1.10/1.37 tff(f395,plain,( 1.10/1.37 ( ! [X0:list_int,X1:$int] : (~$less(sK6(X0),X1) | no_zero1(X0) | ~$less(X1,0)) )), 1.10/1.37 inference(resolution,[],[f193,f61])). 1.10/1.37 tff(f427,plain,( 1.10/1.37 ( ! [X4:$int] : (~$less(X4,0) | $less(X4,$sum(sK2,1))) ) | ~spl8_5), 1.10/1.37 inference(resolution,[],[f287,f64])). 1.10/1.37 tff(f435,plain,( 1.10/1.37 ( ! [X4:$int] : ($less(X4,$sum(1,sK2)) | ~$less(X4,0)) ) | ~spl8_5), 1.10/1.37 inference(forward_demodulation,[],[f427,f55])). 1.10/1.37 tff(f439,plain,( 1.10/1.37 tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) = tb2t(nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1))) | $less(length1(int,t2tb1(sK1)),0) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f163,f281])). 1.10/1.37 tff(f440,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,$uminus(sK2),t2tb1(sK1))) | $less($uminus(sK2),0)), 1.10/1.37 inference(superposition,[],[f163,f59])). 1.10/1.37 tff(f441,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,sK2,t2tb1(sK0))) | $less(0,0)), 1.10/1.37 inference(superposition,[],[f163,f57])). 1.10/1.37 tff(f443,plain,( 1.10/1.37 ( ! [X1:$int] : (tb2t(nth1(int,X1,t2tb1(sK1))) = tb2t(nth1(int,$sum(X1,sK2),t2tb1(sK0))) | $less(X1,0)) )), 1.10/1.37 inference(superposition,[],[f163,f55])). 1.10/1.37 tff(f444,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(sK2,X0),sK2) | $less($sum(sK2,X0),0) | $less(X0,0)) )), 1.10/1.37 inference(superposition,[],[f162,f163])). 1.10/1.37 tff(f445,plain,( 1.10/1.37 ( ! [X1:$int] : (nth1(int,$sum(sK2,X1),t2tb1(sK0)) = t2tb(tb2t(nth1(int,X1,t2tb1(sK1)))) | $less(X1,0)) )), 1.10/1.37 inference(superposition,[],[f179,f163])). 1.10/1.37 tff(f446,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,sK2,t2tb1(sK0)))), 1.10/1.37 inference(evaluation,[],[f441])). 1.10/1.37 tff(f448,plain,( 1.10/1.37 tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) = tb2t(nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1))) | ~spl8_18), 1.10/1.37 inference(subsumption_resolution,[],[f439,f197])). 1.10/1.37 tff(f449,plain,( 1.10/1.37 tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK1))) | (~spl8_18 | ~spl8_32)), 1.10/1.37 inference(forward_demodulation,[],[f448,f335])). 1.10/1.37 tff(f451,plain,( 1.10/1.37 spl8_42 <=> tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK1)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_42])])). 1.10/1.37 tff(f452,plain,( 1.10/1.37 tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK1))) | ~spl8_42), 1.10/1.37 inference(avatar_component_clause,[],[f451])). 1.10/1.37 tff(f453,plain,( 1.10/1.37 spl8_42 | ~spl8_18 | ~spl8_32), 1.10/1.37 inference(avatar_split_clause,[],[f449,f334,f280,f451])). 1.10/1.37 tff(f454,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,$uminus(0),t2tb1(sK1))) | $less($uminus(sK2),0) | ~spl8_22), 1.10/1.37 inference(forward_demodulation,[],[f440,f295])). 1.10/1.37 tff(f455,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1))) | $less($uminus(sK2),0) | ~spl8_22), 1.10/1.37 inference(evaluation,[],[f454])). 1.10/1.37 tff(f456,plain,( 1.10/1.37 $less($uminus(0),0) | tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1))) | ~spl8_22), 1.10/1.37 inference(forward_demodulation,[],[f455,f295])). 1.10/1.37 tff(f457,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1))) | ~spl8_22), 1.10/1.37 inference(evaluation,[],[f456])). 1.10/1.37 tff(f459,plain,( 1.10/1.37 spl8_44 <=> tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_44])])). 1.10/1.37 tff(f460,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1))) | ~spl8_44), 1.10/1.37 inference(avatar_component_clause,[],[f459])). 1.10/1.37 tff(f461,plain,( 1.10/1.37 spl8_44 | ~spl8_22), 1.10/1.37 inference(avatar_split_clause,[],[f457,f294,f459])). 1.10/1.37 tff(f462,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1))) | ~spl8_22), 1.10/1.37 inference(forward_demodulation,[],[f446,f295])). 1.10/1.37 tff(f463,plain,( 1.10/1.37 spl8_44 | ~spl8_22), 1.10/1.37 inference(avatar_split_clause,[],[f462,f294,f459])). 1.10/1.37 tff(f470,plain,( 1.10/1.37 ( ! [X1:$int] : (nth1(int,X1,t2tb1(sK1)) = nth1(int,$sum(sK2,X1),t2tb1(sK0)) | $less(X1,0)) )), 1.10/1.37 inference(forward_demodulation,[],[f445,f179])). 1.10/1.37 tff(f473,plain,( 1.10/1.37 ( ! [X2:$int] : ($less(X2,$sum(sK2,X2))) ) | ~spl8_24), 1.10/1.37 inference(evaluation,[],[f344])). 1.10/1.37 tff(f474,plain,( 1.10/1.37 ~$less(sK2,1) | ~spl8_24), 1.10/1.37 inference(evaluation,[],[f345])). 1.10/1.37 tff(f475,plain,( 1.10/1.37 $less($sum(1,-1),sK2) | ~spl8_35), 1.10/1.37 inference(evaluation,[],[f364])). 1.10/1.37 tff(f476,plain,( 1.10/1.37 $less(0,sK2) | ~spl8_35), 1.10/1.37 inference(evaluation,[],[f475])). 1.10/1.37 tff(f477,plain,( 1.10/1.37 $less(0,sK2) | ~spl8_35), 1.10/1.37 inference(evaluation,[],[f365])). 1.10/1.37 tff(f479,plain,( 1.10/1.37 spl8_46 <=> tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,sK2,t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_46])])). 1.10/1.37 tff(f480,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,sK2,t2tb1(sK0))) | ~spl8_46), 1.10/1.37 inference(avatar_component_clause,[],[f479])). 1.10/1.37 tff(f481,plain,( 1.10/1.37 spl8_46), 1.10/1.37 inference(avatar_split_clause,[],[f446,f479])). 1.10/1.37 tff(f483,plain,( 1.10/1.37 spl8_48 <=> $less($uminus(sK2),0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_48])])). 1.10/1.37 tff(f484,plain,( 1.10/1.37 $less($uminus(sK2),0) | ~spl8_48), 1.10/1.37 inference(avatar_component_clause,[],[f483])). 1.10/1.37 tff(f486,plain,( 1.10/1.37 spl8_50 <=> tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,$uminus(sK2),t2tb1(sK1)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_50])])). 1.10/1.37 tff(f488,plain,( 1.10/1.37 spl8_48 | spl8_50), 1.10/1.37 inference(avatar_split_clause,[],[f440,f486,f483])). 1.10/1.37 tff(f490,plain,( 1.10/1.37 spl8_52 <=> tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) = tb2t(nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_52])])). 1.10/1.37 tff(f491,plain,( 1.10/1.37 tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) = tb2t(nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1))) | ~spl8_52), 1.10/1.37 inference(avatar_component_clause,[],[f490])). 1.10/1.37 tff(f492,plain,( 1.10/1.37 spl8_52 | ~spl8_18), 1.10/1.37 inference(avatar_split_clause,[],[f448,f280,f490])). 1.10/1.37 tff(f506,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,1,t2tb1(sK0))) | (~spl8_38 | ~spl8_46)), 1.10/1.37 inference(forward_demodulation,[],[f480,f369])). 1.10/1.37 tff(f508,plain,( 1.10/1.37 spl8_54 <=> tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,1,t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_54])])). 1.10/1.37 tff(f509,plain,( 1.10/1.37 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,1,t2tb1(sK0))) | ~spl8_54), 1.10/1.37 inference(avatar_component_clause,[],[f508])). 1.10/1.37 tff(f510,plain,( 1.10/1.37 spl8_54 | ~spl8_38 | ~spl8_46), 1.10/1.37 inference(avatar_split_clause,[],[f506,f479,f368,f508])). 1.10/1.37 tff(f511,plain,( 1.10/1.37 ~spl8_35 | ~spl8_24), 1.10/1.37 inference(avatar_split_clause,[],[f474,f297,f349])). 1.10/1.37 tff(f512,plain,( 1.10/1.37 ~spl8_35 | ~spl8_24), 1.10/1.37 inference(avatar_split_clause,[],[f346,f297,f349])). 1.10/1.37 tff(f513,plain,( 1.10/1.37 spl8_38 | spl8_40 | spl8_35), 1.10/1.37 inference(avatar_split_clause,[],[f362,f349,f371,f368])). 1.10/1.37 tff(f514,plain,( 1.10/1.37 spl8_38 | spl8_40 | spl8_35), 1.10/1.37 inference(avatar_split_clause,[],[f363,f349,f371,f368])). 1.10/1.37 tff(f517,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum(0,X2),$sum(sK2,X2))) ) | ~spl8_24), 1.10/1.37 inference(resolution,[],[f298,f63])). 1.10/1.37 tff(f525,plain,( 1.10/1.37 $less(1,sK2) | 1 = sK2 | ~spl8_35), 1.10/1.37 inference(resolution,[],[f350,f62])). 1.10/1.37 tff(f526,plain,( 1.10/1.37 $less(1,sK2) | 1 = sK2 | ~spl8_35), 1.10/1.37 inference(resolution,[],[f350,f62])). 1.10/1.37 tff(f527,plain,( 1.10/1.37 $less(1,$sum(sK2,1)) | ~spl8_35), 1.10/1.37 inference(resolution,[],[f350,f64])). 1.10/1.37 tff(f528,plain,( 1.10/1.37 $less($sum(1,-1),sK2) | ~spl8_35), 1.10/1.37 inference(evaluation,[],[f527])). 1.10/1.37 tff(f529,plain,( 1.10/1.37 $less(0,sK2) | ~spl8_35), 1.10/1.37 inference(evaluation,[],[f528])). 1.10/1.37 tff(f530,plain,( 1.10/1.37 ( ! [X0:list_int,X1:$int] : ($less(X1,length1(int,t2tb1(X0))) | ~$less(X1,sK6(X0)) | no_zero1(X0)) )), 1.10/1.37 inference(resolution,[],[f194,f61])). 1.10/1.37 tff(f531,plain,( 1.10/1.37 ( ! [X2:list_int,X3:$int] : (~$less(length1(int,t2tb1(X2)),X3) | no_zero1(X2) | $less(sK6(X2),X3)) )), 1.10/1.37 inference(resolution,[],[f194,f61])). 1.10/1.37 tff(f532,plain,( 1.10/1.37 ( ! [X4:list_int,X5:$int] : ($less($sum(sK6(X4),X5),$sum(length1(int,t2tb1(X4)),X5)) | no_zero1(X4)) )), 1.10/1.37 inference(resolution,[],[f194,f63])). 1.10/1.37 tff(f533,plain,( 1.10/1.37 ( ! [X6:list_int] : (no_zero1(X6) | ~$less(length1(int,t2tb1(X6)),$sum(sK6(X6),1))) )), 1.10/1.37 inference(resolution,[],[f194,f72])). 1.10/1.37 tff(f534,plain,( 1.10/1.37 ( ! [X0:uni] : ($less(sK6(tb2t1(X0)),length1(int,X0)) | no_zero1(tb2t1(X0))) )), 1.10/1.37 inference(superposition,[],[f194,f180])). 1.10/1.37 tff(f535,plain,( 1.10/1.37 ( ! [X6:list_int] : (~$less(length1(int,t2tb1(X6)),$sum(1,sK6(X6))) | no_zero1(X6)) )), 1.10/1.37 inference(forward_demodulation,[],[f533,f55])). 1.10/1.37 tff(f541,plain,( 1.10/1.37 ~$less(sK2,$sum(1,1)) | ~spl8_40), 1.10/1.37 inference(resolution,[],[f372,f72])). 1.10/1.37 tff(f542,plain,( 1.10/1.37 ~$less(sK2,2) | ~spl8_40), 1.10/1.37 inference(evaluation,[],[f541])). 1.10/1.37 tff(f544,plain,( 1.10/1.37 spl8_57 <=> ~$less(sK2,2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_57])])). 1.10/1.37 tff(f545,plain,( 1.10/1.37 ~$less(sK2,2) | ~spl8_57), 1.10/1.37 inference(avatar_component_clause,[],[f544])). 1.10/1.37 tff(f546,plain,( 1.10/1.37 ~spl8_57 | ~spl8_40), 1.10/1.37 inference(avatar_split_clause,[],[f542,f371,f544])). 1.10/1.37 tff(f553,plain,( 1.10/1.37 $less(2,sK2) | sK2 = 2 | ~spl8_57), 1.10/1.37 inference(resolution,[],[f545,f62])). 1.10/1.37 tff(f554,plain,( 1.10/1.37 $less(2,sK2) | sK2 = 2 | ~spl8_57), 1.10/1.37 inference(resolution,[],[f545,f62])). 1.10/1.37 tff(f555,plain,( 1.10/1.37 $less(2,$sum(sK2,1)) | ~spl8_57), 1.10/1.37 inference(resolution,[],[f545,f64])). 1.10/1.37 tff(f556,plain,( 1.10/1.37 $less($sum(2,-1),sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f555])). 1.10/1.37 tff(f557,plain,( 1.10/1.37 $less(1,sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f556])). 1.10/1.37 tff(f559,plain,( 1.10/1.37 spl8_58 <=> sK2 = 2), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_58])])). 1.10/1.37 tff(f560,plain,( 1.10/1.37 sK2 = 2 | ~spl8_58), 1.10/1.37 inference(avatar_component_clause,[],[f559])). 1.10/1.37 tff(f562,plain,( 1.10/1.37 spl8_60 <=> $less(2,sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_60])])). 1.10/1.37 tff(f563,plain,( 1.10/1.37 $less(2,sK2) | ~spl8_60), 1.10/1.37 inference(avatar_component_clause,[],[f562])). 1.10/1.37 tff(f564,plain,( 1.10/1.37 spl8_58 | spl8_60 | spl8_57), 1.10/1.37 inference(avatar_split_clause,[],[f553,f544,f562,f559])). 1.10/1.37 tff(f565,plain,( 1.10/1.37 spl8_58 | spl8_60 | spl8_57), 1.10/1.37 inference(avatar_split_clause,[],[f554,f544,f562,f559])). 1.10/1.37 tff(f566,plain,( 1.10/1.37 spl8_38 | spl8_40 | spl8_35), 1.10/1.37 inference(avatar_split_clause,[],[f526,f349,f371,f368])). 1.10/1.37 tff(f567,plain,( 1.10/1.37 spl8_38 | spl8_40 | spl8_35), 1.10/1.37 inference(avatar_split_clause,[],[f525,f349,f371,f368])). 1.10/1.37 tff(f573,plain,( 1.10/1.37 ~zero_at1(sK0,1) | (~spl8_1 | ~spl8_38)), 1.10/1.37 inference(superposition,[],[f243,f369])). 1.10/1.37 tff(f575,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) = $sum(1,length1(int,t2tb1(sK1))) | (~spl8_18 | ~spl8_38)), 1.10/1.37 inference(superposition,[],[f281,f369])). 1.10/1.37 tff(f581,plain,( 1.10/1.37 spl8_63 <=> ~zero_at1(sK0,1)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_63])])). 1.10/1.37 tff(f582,plain,( 1.10/1.37 ~zero_at1(sK0,1) | ~spl8_63), 1.10/1.37 inference(avatar_component_clause,[],[f581])). 1.10/1.37 tff(f583,plain,( 1.10/1.37 ~spl8_63 | spl8_1 | ~spl8_38), 1.10/1.37 inference(avatar_split_clause,[],[f573,f368,f242,f581])). 1.10/1.37 tff(f585,plain,( 1.10/1.37 spl8_64 <=> length1(int,t2tb1(sK0)) = $sum(1,length1(int,t2tb1(sK1)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_64])])). 1.10/1.37 tff(f587,plain,( 1.10/1.37 spl8_64 | ~spl8_18 | ~spl8_38), 1.10/1.37 inference(avatar_split_clause,[],[f575,f368,f280,f585])). 1.10/1.37 tff(f588,plain,( 1.10/1.37 ~$less(sK2,2) | ~spl8_40), 1.10/1.37 inference(evaluation,[],[f541])). 1.10/1.37 tff(f589,plain,( 1.10/1.37 $less($sum(2,-1),sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f555])). 1.10/1.37 tff(f590,plain,( 1.10/1.37 $less(1,sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f589])). 1.10/1.37 tff(f591,plain,( 1.10/1.37 $less(1,sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f556])). 1.10/1.37 tff(f604,plain,( 1.10/1.37 ( ! [X5:uni,X3:ty] : (~$less($sum(1,length1(X3,X5)),0)) )), 1.10/1.37 inference(superposition,[],[f197,f190])). 1.10/1.37 tff(f605,plain,( 1.10/1.37 ( ! [X5:uni,X3:ty] : (~$less(length1(X3,X5),$uminus(1))) )), 1.10/1.37 inference(evaluation,[],[f604])). 1.10/1.37 tff(f606,plain,( 1.10/1.37 ( ! [X5:uni,X3:ty] : (~$less(length1(X3,X5),-1)) )), 1.10/1.37 inference(evaluation,[],[f605])). 1.10/1.37 tff(f615,plain,( 1.10/1.37 ( ! [X12:$int,X10:$int,X11:$int] : ($less(X10,0) | $less(X11,X12) | $less($product(X12,X10),$sum($product(X11,X10),1))) )), 1.10/1.37 inference(resolution,[],[f226,f64])). 1.10/1.37 tff(f630,plain,( 1.10/1.37 ( ! [X12:$int,X10:$int,X11:$int] : ($less($product(X12,X10),$sum(1,$product(X11,X10))) | $less(X10,0) | $less(X11,X12)) )), 1.10/1.37 inference(forward_demodulation,[],[f615,f55])). 1.10/1.37 tff(f632,plain,( 1.10/1.37 ~zero_at1(sK0,2) | (~spl8_1 | ~spl8_58)), 1.10/1.37 inference(superposition,[],[f243,f560])). 1.10/1.37 tff(f634,plain,( 1.10/1.37 length1(int,t2tb1(sK0)) = $sum(2,length1(int,t2tb1(sK1))) | (~spl8_18 | ~spl8_58)), 1.10/1.37 inference(superposition,[],[f281,f560])). 1.10/1.37 tff(f640,plain,( 1.10/1.37 spl8_67 <=> ~zero_at1(sK0,2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_67])])). 1.10/1.37 tff(f642,plain,( 1.10/1.37 ~spl8_67 | spl8_1 | ~spl8_58), 1.10/1.37 inference(avatar_split_clause,[],[f632,f559,f242,f640])). 1.10/1.37 tff(f644,plain,( 1.10/1.37 spl8_68 <=> length1(int,t2tb1(sK0)) = $sum(2,length1(int,t2tb1(sK1)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_68])])). 1.10/1.37 tff(f646,plain,( 1.10/1.37 spl8_68 | ~spl8_18 | ~spl8_58), 1.10/1.37 inference(avatar_split_clause,[],[f634,f559,f280,f644])). 1.10/1.37 tff(f651,plain,( 1.10/1.37 ( ! [X2:ty,X3:uni] : (some(X2,cons_proj_11(X2,X3)) = hd(X2,X3) | nil(X2) = X3) )), 1.10/1.37 inference(superposition,[],[f188,f210])). 1.10/1.37 tff(f655,plain,( 1.10/1.37 ( ! [X14:ty,X15:uni] : (some(X14,cons_proj_11(X14,X15)) = nth1(X14,0,X15) | nil(X14) = X15) )), 1.10/1.37 inference(superposition,[],[f238,f210])). 1.10/1.37 tff(f660,plain,( 1.10/1.37 ( ! [X0:uni] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(tb2t1(X0)),X0)) | no_zero1(tb2t1(X0))) )), 1.10/1.37 inference(superposition,[],[f195,f180])). 1.10/1.37 tff(f661,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(sK0),sK2) | $less(sK6(sK0),0) | no_zero1(sK0)), 1.10/1.37 inference(superposition,[],[f162,f195])). 1.10/1.37 tff(f662,plain,( 1.10/1.37 ( ! [X0:list_int] : (nth1(int,sK6(X0),t2tb1(X0)) = t2tb(tb2t(some(int,t2tb2(0)))) | no_zero1(X0)) )), 1.10/1.37 inference(superposition,[],[f179,f195])). 1.10/1.37 tff(f663,plain,( 1.10/1.37 ~$less(sK6(sK0),sK2) | $less(sK6(sK0),0) | no_zero1(sK0)), 1.10/1.37 inference(trivial_inequality_removal,[],[f661])). 1.10/1.37 tff(f664,plain,( 1.10/1.37 ~$less(sK6(sK0),sK2) | no_zero1(sK0)), 1.10/1.37 inference(subsumption_resolution,[],[f663,f193])). 1.10/1.37 tff(f665,plain,( 1.10/1.37 ~$less(sK6(sK0),1) | no_zero1(sK0) | ~spl8_38), 1.10/1.37 inference(forward_demodulation,[],[f664,f369])). 1.10/1.37 tff(f667,plain,( 1.10/1.37 spl8_8 <=> no_zero1(sK0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])). 1.10/1.37 tff(f668,plain,( 1.10/1.37 no_zero1(sK0) | ~spl8_8), 1.10/1.37 inference(avatar_component_clause,[],[f667])). 1.10/1.37 tff(f670,plain,( 1.10/1.37 spl8_71 <=> ~$less(sK6(sK0),1)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_71])])). 1.10/1.37 tff(f671,plain,( 1.10/1.37 ~$less(sK6(sK0),1) | ~spl8_71), 1.10/1.37 inference(avatar_component_clause,[],[f670])). 1.10/1.37 tff(f672,plain,( 1.10/1.37 spl8_8 | ~spl8_71 | ~spl8_38), 1.10/1.37 inference(avatar_split_clause,[],[f665,f368,f670,f667])). 1.10/1.37 tff(f673,plain,( 1.10/1.37 ( ! [X0:list_int] : (some(int,t2tb2(0)) = nth1(int,sK6(X0),t2tb1(X0)) | no_zero1(X0)) )), 1.10/1.37 inference(forward_demodulation,[],[f662,f179])). 1.10/1.37 tff(f685,plain,( 1.10/1.37 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,X0)) | ~zero_at1(tb2t1(X0),X1)) )), 1.10/1.37 inference(superposition,[],[f215,f180])). 1.10/1.37 tff(f687,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X0,sK2) | $less(X0,0) | ~zero_at1(sK0,X0)) )), 1.10/1.37 inference(superposition,[],[f162,f215])). 1.10/1.37 tff(f688,plain,( 1.10/1.37 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(sK1))) | $less(X1,0) | ~zero_at1(sK0,$sum(sK2,X1))) )), 1.10/1.37 inference(superposition,[],[f163,f215])). 1.10/1.37 tff(f689,plain,( 1.10/1.37 ( ! [X4:list_int,X3:$int] : (nth1(int,X3,t2tb1(X4)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~zero_at1(X4,X3)) )), 1.10/1.37 inference(superposition,[],[f179,f215])). 1.10/1.37 tff(f690,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,sK2) | $less(X0,0) | ~zero_at1(sK0,X0)) )), 1.10/1.37 inference(trivial_inequality_removal,[],[f687])). 1.10/1.37 tff(f694,plain,( 1.10/1.37 ( ! [X4:list_int,X3:$int] : (some(int,t2tb2(0)) = nth1(int,X3,t2tb1(X4)) | ~zero_at1(X4,X3)) )), 1.10/1.37 inference(forward_demodulation,[],[f689,f179])). 1.10/1.37 tff(f699,plain,( 1.10/1.37 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | ~$less(sK7(tb2t1(X0),X1),0) | zero_at1(tb2t1(X0),X1)) )), 1.10/1.37 inference(superposition,[],[f217,f180])). 1.10/1.37 tff(f700,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less(sK7(sK0,$sum(sK2,X0)),0) | zero_at1(sK0,$sum(sK2,X0)) | $less(X0,0)) )), 1.10/1.37 inference(superposition,[],[f217,f163])). 1.10/1.37 tff(f701,plain,( 1.10/1.37 ( ! [X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(X1,sK6(X1)),0) | zero_at1(X1,sK6(X1)) | no_zero1(X1)) )), 1.10/1.37 inference(superposition,[],[f217,f195])). 1.10/1.37 tff(f703,plain,( 1.10/1.37 ( ! [X1:list_int] : (~$less(sK7(X1,sK6(X1)),0) | zero_at1(X1,sK6(X1)) | no_zero1(X1)) )), 1.10/1.37 inference(trivial_inequality_removal,[],[f701])). 1.10/1.37 tff(f706,plain,( 1.10/1.37 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | $less(sK7(tb2t1(X0),X1),X1) | zero_at1(tb2t1(X0),X1)) )), 1.10/1.37 inference(superposition,[],[f218,f180])). 1.10/1.37 tff(f707,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | $less(sK7(sK0,$sum(sK2,X0)),$sum(sK2,X0)) | zero_at1(sK0,$sum(sK2,X0)) | $less(X0,0)) )), 1.10/1.37 inference(superposition,[],[f218,f163])). 1.10/1.37 tff(f713,plain,( 1.10/1.37 ( ! [X2:$int,X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | ~$less(X1,X2) | $less(X1,0) | ~zero_at1(tb2t1(X0),X2)) )), 1.10/1.37 inference(superposition,[],[f216,f180])). 1.10/1.37 tff(f714,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(sK2,X0),X1) | $less($sum(sK2,X0),0) | ~zero_at1(sK0,X1) | $less(X0,0)) )), 1.10/1.37 inference(superposition,[],[f216,f163])). 1.10/1.37 tff(f716,plain,( 1.10/1.37 ( ! [X6:$int,X4:$int,X5:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X4,X6) | $less(X4,0) | ~zero_at1(X5,X6) | ~zero_at1(X5,X4)) )), 1.10/1.37 inference(superposition,[],[f216,f215])). 1.10/1.37 tff(f717,plain,( 1.10/1.37 ( ! [X6:$int,X4:$int,X5:list_int] : (~$less(X4,X6) | $less(X4,0) | ~zero_at1(X5,X6) | ~zero_at1(X5,X4)) )), 1.10/1.37 inference(trivial_inequality_removal,[],[f716])). 1.10/1.37 tff(f724,plain,( 1.10/1.37 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | ~$less(X1,length1(int,t2tb1(tb2t1(X0)))) | $less(X1,0) | ~no_zero1(tb2t1(X0))) )), 1.10/1.37 inference(superposition,[],[f196,f180])). 1.10/1.37 tff(f725,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0))) | $less($sum(sK2,X0),0) | ~no_zero1(sK0) | $less(X0,0)) )), 1.10/1.37 inference(superposition,[],[f196,f163])). 1.10/1.37 tff(f727,plain,( 1.10/1.37 ( ! [X2:$int,X3:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X2,length1(int,t2tb1(X3))) | $less(X2,0) | ~no_zero1(X3) | ~zero_at1(X3,X2)) )), 1.10/1.37 inference(superposition,[],[f196,f215])). 1.10/1.37 tff(f728,plain,( 1.10/1.37 ( ! [X2:$int,X3:list_int] : (~$less(X2,length1(int,t2tb1(X3))) | $less(X2,0) | ~no_zero1(X3) | ~zero_at1(X3,X2)) )), 1.10/1.37 inference(trivial_inequality_removal,[],[f727])). 1.10/1.37 tff(f729,plain,( 1.10/1.37 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | ~$less(X1,length1(int,X0)) | $less(X1,0) | ~no_zero1(tb2t1(X0))) )), 1.10/1.37 inference(forward_demodulation,[],[f724,f180])). 1.10/1.37 tff(f730,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less($sum(1,X0),length1(int,t2tb1(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | $less($sum(sK2,X0),0) | ~no_zero1(sK0) | $less(X0,0)) ) | ~spl8_38), 1.10/1.37 inference(forward_demodulation,[],[f725,f369])). 1.10/1.37 tff(f731,plain,( 1.10/1.37 ( ! [X0:$int] : ($less($sum(1,X0),0) | ~$less($sum(1,X0),length1(int,t2tb1(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~no_zero1(sK0) | $less(X0,0)) ) | ~spl8_38), 1.10/1.37 inference(forward_demodulation,[],[f730,f369])). 1.10/1.37 tff(f732,plain,( 1.10/1.37 ( ! [X0:$int] : ($less(X0,$uminus(1)) | ~$less($sum(1,X0),length1(int,t2tb1(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~no_zero1(sK0) | $less(X0,0)) ) | ~spl8_38), 1.10/1.37 inference(evaluation,[],[f731])). 1.10/1.37 tff(f733,plain,( 1.10/1.37 ( ! [X0:$int] : ($less(X0,-1) | ~$less($sum(1,X0),length1(int,t2tb1(sK0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~no_zero1(sK0) | $less(X0,0)) ) | ~spl8_38), 1.10/1.37 inference(evaluation,[],[f732])). 1.10/1.37 tff(f735,plain,( 1.10/1.37 spl8_72 <=> ! [X0 : $int] : ($less(X0,-1) | $less(X0,0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(1,X0),length1(int,t2tb1(sK0))))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_72])])). 1.10/1.37 tff(f737,plain,( 1.10/1.37 ~spl8_9 | spl8_72 | ~spl8_38), 1.10/1.37 inference(avatar_split_clause,[],[f733,f368,f735,f255])). 1.10/1.37 tff(f738,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,$uminus(sK2)) | $less(X0,0)) ) | ~spl8_48), 1.10/1.37 inference(resolution,[],[f484,f61])). 1.10/1.37 tff(f739,plain,( 1.10/1.37 ( ! [X1:$int] : ($less($uminus(sK2),X1) | ~$less(0,X1)) ) | ~spl8_48), 1.10/1.37 inference(resolution,[],[f484,f61])). 1.10/1.37 tff(f740,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum($uminus(sK2),X2),$sum(0,X2))) ) | ~spl8_48), 1.10/1.37 inference(resolution,[],[f484,f63])). 1.10/1.37 tff(f741,plain,( 1.10/1.37 ~$less(0,$sum($uminus(sK2),1)) | ~spl8_48), 1.10/1.37 inference(resolution,[],[f484,f72])). 1.10/1.37 tff(f743,plain,( 1.10/1.37 ~$less($uminus(1),$uminus(sK2)) | ~spl8_48), 1.10/1.37 inference(evaluation,[],[f741])). 1.10/1.37 tff(f744,plain,( 1.10/1.37 ~$less(-1,$uminus(sK2)) | ~spl8_48), 1.10/1.37 inference(evaluation,[],[f743])). 1.10/1.37 tff(f745,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum($uminus(sK2),X2),X2)) ) | ~spl8_48), 1.10/1.37 inference(evaluation,[],[f740])). 1.10/1.37 tff(f753,plain,( 1.10/1.37 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X0),X1),t2tb1(tb2t1(X0)))) | zero_at1(tb2t1(X0),X1)) )), 1.10/1.37 inference(superposition,[],[f219,f180])). 1.10/1.37 tff(f754,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,X0)),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,X0)) | $less(X0,0)) )), 1.10/1.37 inference(superposition,[],[f219,f163])). 1.10/1.37 tff(f755,plain,( 1.10/1.37 ( ! [X1:list_int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X1,sK6(X1)),t2tb1(X1))) | zero_at1(X1,sK6(X1)) | no_zero1(X1)) )), 1.10/1.37 inference(superposition,[],[f219,f195])). 1.10/1.37 tff(f757,plain,( 1.10/1.37 ( ! [X1:list_int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X1,sK6(X1)),t2tb1(X1))) | zero_at1(X1,sK6(X1)) | no_zero1(X1)) )), 1.10/1.37 inference(trivial_inequality_removal,[],[f755])). 1.10/1.37 tff(f758,plain,( 1.10/1.37 ( ! [X0:uni,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(X0),X1),X0)) | zero_at1(tb2t1(X0),X1)) )), 1.10/1.37 inference(forward_demodulation,[],[f753,f180])). 1.10/1.37 tff(f761,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(sK6(sK0),X0) | ~$less(X0,1)) ) | ~spl8_71), 1.10/1.37 inference(resolution,[],[f671,f61])). 1.10/1.37 tff(f762,plain,( 1.10/1.37 $less(1,sK6(sK0)) | 1 = sK6(sK0) | ~spl8_71), 1.10/1.37 inference(resolution,[],[f671,f62])). 1.10/1.37 tff(f763,plain,( 1.10/1.37 $less(1,sK6(sK0)) | 1 = sK6(sK0) | ~spl8_71), 1.10/1.37 inference(resolution,[],[f671,f62])). 1.10/1.37 tff(f764,plain,( 1.10/1.37 $less(1,$sum(sK6(sK0),1)) | ~spl8_71), 1.10/1.37 inference(resolution,[],[f671,f64])). 1.10/1.37 tff(f765,plain,( 1.10/1.37 $less($sum(1,-1),sK6(sK0)) | ~spl8_71), 1.10/1.37 inference(evaluation,[],[f764])). 1.10/1.37 tff(f766,plain,( 1.10/1.37 $less(0,sK6(sK0)) | ~spl8_71), 1.10/1.37 inference(evaluation,[],[f765])). 1.10/1.37 tff(f768,plain,( 1.10/1.37 spl8_74 <=> 1 = sK6(sK0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_74])])). 1.10/1.37 tff(f771,plain,( 1.10/1.37 spl8_76 <=> $less(1,sK6(sK0))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_76])])). 1.10/1.37 tff(f772,plain,( 1.10/1.37 $less(1,sK6(sK0)) | ~spl8_76), 1.10/1.37 inference(avatar_component_clause,[],[f771])). 1.10/1.37 tff(f773,plain,( 1.10/1.37 spl8_74 | spl8_76 | spl8_71), 1.10/1.37 inference(avatar_split_clause,[],[f762,f670,f771,f768])). 1.10/1.37 tff(f774,plain,( 1.10/1.37 spl8_74 | spl8_76 | spl8_71), 1.10/1.37 inference(avatar_split_clause,[],[f763,f670,f771,f768])). 1.10/1.37 tff(f776,plain,( 1.10/1.37 spl8_78 <=> $less(0,sK6(sK0))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_78])])). 1.10/1.37 tff(f777,plain,( 1.10/1.37 $less(0,sK6(sK0)) | ~spl8_78), 1.10/1.37 inference(avatar_component_clause,[],[f776])). 1.10/1.37 tff(f778,plain,( 1.10/1.37 spl8_78 | spl8_71), 1.10/1.37 inference(avatar_split_clause,[],[f766,f670,f776])). 1.10/1.37 tff(f784,plain,( 1.10/1.37 ( ! [X2:$int,X3:$int] : (~$less($sum(sK2,X2),X3) | $less(X2,X3)) ) | ~spl8_24), 1.10/1.37 inference(resolution,[],[f473,f61])). 1.10/1.37 tff(f787,plain,( 1.10/1.37 ~$less($sum(sK2,sK2),0) | (~spl8_5 | ~spl8_24)), 1.10/1.37 inference(resolution,[],[f473,f287])). 1.10/1.37 tff(f789,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK1)),length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_24)), 1.10/1.37 inference(superposition,[],[f473,f281])). 1.10/1.37 tff(f800,plain,( 1.10/1.37 spl8_80 <=> $less(length1(int,t2tb1(sK1)),length1(int,t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_80])])). 1.10/1.37 tff(f802,plain,( 1.10/1.37 spl8_80 | ~spl8_18 | ~spl8_24), 1.10/1.37 inference(avatar_split_clause,[],[f789,f297,f280,f800])). 1.10/1.37 tff(f807,plain,( 1.10/1.37 some(list(int),t2tb1(sK5)) = tl(int,t2tb1(sK1)) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f187,f357])). 1.10/1.37 tff(f808,plain,( 1.10/1.37 some(int,t2tb2(0)) = hd(int,t2tb1(sK1)) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f188,f357])). 1.10/1.37 tff(f809,plain,( 1.10/1.37 length1(int,t2tb1(sK1)) = $sum(1,length1(int,t2tb1(sK5))) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f190,f357])). 1.10/1.37 tff(f810,plain,( 1.10/1.37 nil(int) != t2tb1(sK1) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f222,f357])). 1.10/1.37 tff(f812,plain,( 1.10/1.37 cons_proj_21(int,t2tb1(sK1)) = t2tb1(sK5) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f225,f357])). 1.10/1.37 tff(f813,plain,( 1.10/1.37 cons_proj_11(int,t2tb1(sK1)) = t2tb2(0) | ~sort1(int,t2tb2(0)) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f229,f357])). 1.10/1.37 tff(f815,plain,( 1.10/1.37 some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK1)) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f238,f357])). 1.10/1.37 tff(f816,plain,( 1.10/1.37 ( ! [X3:$int] : (nth1(int,X3,t2tb1(sK1)) = nth1(int,$sum(X3,-1),t2tb1(sK5)) | 0 = X3) ) | ~spl8_36), 1.10/1.37 inference(superposition,[],[f240,f357])). 1.10/1.37 tff(f818,plain,( 1.10/1.37 spl8_82 <=> some(list(int),t2tb1(sK5)) = tl(int,t2tb1(sK1))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_82])])). 1.10/1.37 tff(f819,plain,( 1.10/1.37 some(list(int),t2tb1(sK5)) = tl(int,t2tb1(sK1)) | ~spl8_82), 1.10/1.37 inference(avatar_component_clause,[],[f818])). 1.10/1.37 tff(f820,plain,( 1.10/1.37 spl8_82 | ~spl8_36), 1.10/1.37 inference(avatar_split_clause,[],[f807,f356,f818])). 1.10/1.37 tff(f822,plain,( 1.10/1.37 spl8_84 <=> some(int,t2tb2(0)) = hd(int,t2tb1(sK1))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_84])])). 1.10/1.37 tff(f824,plain,( 1.10/1.37 spl8_84 | ~spl8_36), 1.10/1.37 inference(avatar_split_clause,[],[f808,f356,f822])). 1.10/1.37 tff(f826,plain,( 1.10/1.37 spl8_86 <=> length1(int,t2tb1(sK1)) = $sum(1,length1(int,t2tb1(sK5)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_86])])). 1.10/1.37 tff(f827,plain,( 1.10/1.37 length1(int,t2tb1(sK1)) = $sum(1,length1(int,t2tb1(sK5))) | ~spl8_86), 1.10/1.37 inference(avatar_component_clause,[],[f826])). 1.10/1.37 tff(f828,plain,( 1.10/1.37 spl8_86 | ~spl8_36), 1.10/1.37 inference(avatar_split_clause,[],[f809,f356,f826])). 1.10/1.37 tff(f830,plain,( 1.10/1.37 spl8_89 <=> nil(int) != t2tb1(sK1)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_89])])). 1.10/1.37 tff(f832,plain,( 1.10/1.37 ~spl8_89 | ~spl8_36), 1.10/1.37 inference(avatar_split_clause,[],[f810,f356,f830])). 1.10/1.37 tff(f834,plain,( 1.10/1.37 spl8_90 <=> cons_proj_21(int,t2tb1(sK1)) = t2tb1(sK5)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_90])])). 1.10/1.37 tff(f836,plain,( 1.10/1.37 spl8_90 | ~spl8_36), 1.10/1.37 inference(avatar_split_clause,[],[f812,f356,f834])). 1.10/1.37 tff(f837,plain,( 1.10/1.37 cons_proj_11(int,t2tb1(sK1)) = t2tb2(0) | ~spl8_36), 1.10/1.37 inference(subsumption_resolution,[],[f813,f175])). 1.10/1.37 tff(f839,plain,( 1.10/1.37 spl8_92 <=> cons_proj_11(int,t2tb1(sK1)) = t2tb2(0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_92])])). 1.10/1.37 tff(f841,plain,( 1.10/1.37 spl8_92 | ~spl8_36), 1.10/1.37 inference(avatar_split_clause,[],[f837,f356,f839])). 1.10/1.37 tff(f843,plain,( 1.10/1.37 spl8_94 <=> some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK1))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_94])])). 1.10/1.37 tff(f844,plain,( 1.10/1.37 some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK1)) | ~spl8_94), 1.10/1.37 inference(avatar_component_clause,[],[f843])). 1.10/1.37 tff(f845,plain,( 1.10/1.37 spl8_94 | ~spl8_36), 1.10/1.37 inference(avatar_split_clause,[],[f815,f356,f843])). 1.10/1.37 tff(f866,plain,( 1.10/1.37 ( ! [X2:uni,X0:$int,X1:ty] : ($less(X0,length1(X1,X2)) | ~$less(X0,-1)) )), 1.10/1.37 inference(resolution,[],[f385,f61])). 1.10/1.37 tff(f868,plain,( 1.10/1.37 ( ! [X6:$int,X8:uni,X7:ty] : ($less($sum(-1,X6),$sum(length1(X7,X8),X6))) )), 1.10/1.37 inference(resolution,[],[f385,f63])). 1.10/1.37 tff(f871,plain,( 1.10/1.37 ( ! [X3:uni,X1:ty] : ($less(-1,$sum(1,length1(X1,X3)))) )), 1.10/1.37 inference(superposition,[],[f385,f190])). 1.10/1.37 tff(f872,plain,( 1.10/1.37 ( ! [X3:uni,X1:ty] : ($less($sum(-1,-1),length1(X1,X3))) )), 1.10/1.37 inference(evaluation,[],[f871])). 1.10/1.37 tff(f873,plain,( 1.10/1.37 ( ! [X3:uni,X1:ty] : ($less(-2,length1(X1,X3))) )), 1.10/1.37 inference(evaluation,[],[f872])). 1.10/1.37 tff(f893,plain,( 1.10/1.37 ( ! [X3:uni,X1:ty] : (~$less($sum(1,length1(X1,X3)),-1)) )), 1.10/1.37 inference(superposition,[],[f606,f190])). 1.10/1.37 tff(f894,plain,( 1.10/1.37 ( ! [X3:uni,X1:ty] : (~$less(length1(X1,X3),$sum(-1,-1))) )), 1.10/1.37 inference(evaluation,[],[f893])). 1.10/1.37 tff(f895,plain,( 1.10/1.37 ( ! [X3:uni,X1:ty] : (~$less(length1(X1,X3),-2)) )), 1.10/1.37 inference(evaluation,[],[f894])). 1.10/1.37 tff(f905,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) | zero_at1(sK0,sK2) | ~spl8_46), 1.10/1.37 inference(superposition,[],[f219,f480])). 1.10/1.37 tff(f906,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK2,length1(int,t2tb1(sK0))) | $less(sK2,0) | ~no_zero1(sK0) | ~spl8_46), 1.10/1.37 inference(superposition,[],[f196,f480])). 1.10/1.37 tff(f907,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK2,X0) | $less(sK2,0) | ~zero_at1(sK0,X0)) ) | ~spl8_46), 1.10/1.37 inference(superposition,[],[f216,f480])). 1.10/1.37 tff(f908,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | $less(sK7(sK0,sK2),sK2) | zero_at1(sK0,sK2) | ~spl8_46), 1.10/1.37 inference(superposition,[],[f218,f480])). 1.10/1.37 tff(f909,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK7(sK0,sK2),0) | zero_at1(sK0,sK2) | ~spl8_46), 1.10/1.37 inference(superposition,[],[f217,f480])). 1.10/1.37 tff(f911,plain,( 1.10/1.37 nth1(int,sK2,t2tb1(sK0)) = t2tb(tb2t(nth1(int,0,t2tb1(sK1)))) | ~spl8_46), 1.10/1.37 inference(superposition,[],[f179,f480])). 1.10/1.37 tff(f912,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) | (~spl8_1 | ~spl8_46)), 1.10/1.37 inference(subsumption_resolution,[],[f905,f243])). 1.10/1.37 tff(f913,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) | (~spl8_1 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f912,f844])). 1.10/1.37 tff(f914,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) | (~spl8_1 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f913])). 1.10/1.37 tff(f915,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,1),t2tb1(sK0))) | (~spl8_1 | ~spl8_38 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f914,f369])). 1.10/1.37 tff(f917,plain,( 1.10/1.37 spl8_96 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,1),t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_96])])). 1.10/1.37 tff(f919,plain,( 1.10/1.37 spl8_96 | spl8_1 | ~spl8_38 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f915,f843,f479,f368,f242,f917])). 1.10/1.37 tff(f920,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK2,length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | (~spl8_5 | ~spl8_46)), 1.10/1.37 inference(subsumption_resolution,[],[f906,f277])). 1.10/1.37 tff(f921,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK2,length1(int,t2tb1(sK0))) | (~spl8_5 | ~spl8_8 | ~spl8_46)), 1.10/1.37 inference(subsumption_resolution,[],[f920,f668])). 1.10/1.37 tff(f922,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK2,length1(int,t2tb1(sK0))) | (~spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f921,f844])). 1.10/1.37 tff(f923,plain,( 1.10/1.37 ~$less(sK2,length1(int,t2tb1(sK0))) | (~spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f922])). 1.10/1.37 tff(f924,plain,( 1.10/1.37 ~$less(1,length1(int,t2tb1(sK0))) | (~spl8_5 | ~spl8_8 | ~spl8_38 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f923,f369])). 1.10/1.37 tff(f926,plain,( 1.10/1.37 spl8_99 <=> ~$less(1,length1(int,t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_99])])). 1.10/1.37 tff(f928,plain,( 1.10/1.37 ~spl8_99 | spl8_5 | ~spl8_8 | ~spl8_38 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f924,f843,f479,f368,f667,f276,f926])). 1.10/1.37 tff(f929,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK2,X0) | ~zero_at1(sK0,X0)) ) | (~spl8_5 | ~spl8_46)), 1.10/1.37 inference(subsumption_resolution,[],[f907,f277])). 1.10/1.37 tff(f930,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK2,X0) | ~zero_at1(sK0,X0)) ) | (~spl8_5 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f929,f844])). 1.10/1.37 tff(f931,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(sK2,X0) | ~zero_at1(sK0,X0)) ) | (~spl8_5 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f930])). 1.10/1.37 tff(f933,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | $less(sK7(sK0,sK2),sK2) | (~spl8_1 | ~spl8_46)), 1.10/1.37 inference(subsumption_resolution,[],[f908,f243])). 1.10/1.37 tff(f934,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,sK2),sK2) | (~spl8_1 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f933,f844])). 1.10/1.37 tff(f935,plain,( 1.10/1.37 $less(sK7(sK0,sK2),sK2) | (~spl8_1 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f934])). 1.10/1.37 tff(f936,plain,( 1.10/1.37 $less(sK7(sK0,1),1) | (~spl8_1 | ~spl8_38 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f935,f369])). 1.10/1.37 tff(f938,plain,( 1.10/1.37 spl8_100 <=> $less(sK7(sK0,1),1)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_100])])). 1.10/1.37 tff(f940,plain,( 1.10/1.37 spl8_100 | spl8_1 | ~spl8_38 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f936,f843,f479,f368,f242,f938])). 1.10/1.37 tff(f941,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK7(sK0,sK2),0) | (~spl8_1 | ~spl8_46)), 1.10/1.37 inference(subsumption_resolution,[],[f909,f243])). 1.10/1.37 tff(f942,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK2),0) | (~spl8_1 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f941,f844])). 1.10/1.37 tff(f943,plain,( 1.10/1.37 ~$less(sK7(sK0,sK2),0) | (~spl8_1 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f942])). 1.10/1.37 tff(f944,plain,( 1.10/1.37 ~$less(sK7(sK0,1),0) | (~spl8_1 | ~spl8_38 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f943,f369])). 1.10/1.37 tff(f946,plain,( 1.10/1.37 spl8_103 <=> ~$less(sK7(sK0,1),0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_103])])). 1.10/1.37 tff(f948,plain,( 1.10/1.37 ~spl8_103 | spl8_1 | ~spl8_38 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f944,f843,f479,f368,f242,f946])). 1.10/1.37 tff(f949,plain,( 1.10/1.37 nth1(int,0,t2tb1(sK1)) = nth1(int,sK2,t2tb1(sK0)) | ~spl8_46), 1.10/1.37 inference(forward_demodulation,[],[f911,f179])). 1.10/1.37 tff(f950,plain,( 1.10/1.37 nth1(int,0,t2tb1(sK1)) = nth1(int,1,t2tb1(sK0)) | (~spl8_38 | ~spl8_46)), 1.10/1.37 inference(forward_demodulation,[],[f949,f369])). 1.10/1.37 tff(f951,plain,( 1.10/1.37 some(int,t2tb2(0)) = nth1(int,1,t2tb1(sK0)) | (~spl8_38 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f950,f844])). 1.10/1.37 tff(f953,plain,( 1.10/1.37 spl8_104 <=> some(int,t2tb2(0)) = nth1(int,1,t2tb1(sK0))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_104])])). 1.10/1.37 tff(f955,plain,( 1.10/1.37 spl8_104 | ~spl8_38 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f951,f843,f479,f368,f953])). 1.10/1.37 tff(f956,plain,( 1.10/1.37 ~$less(sK2,2) | ~spl8_40), 1.10/1.37 inference(evaluation,[],[f541])). 1.10/1.37 tff(f957,plain,( 1.10/1.37 $less($sum(2,-1),sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f555])). 1.10/1.37 tff(f958,plain,( 1.10/1.37 $less(1,sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f957])). 1.10/1.37 tff(f959,plain,( 1.10/1.37 $less(1,sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f556])). 1.10/1.37 tff(f960,plain,( 1.10/1.37 $less(1,sK2) | ~spl8_57), 1.10/1.37 inference(evaluation,[],[f589])). 1.10/1.37 tff(f961,plain,( 1.10/1.37 some(int,t2tb2(0)) = nth1(int,sK2,t2tb1(sK0)) | (~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f949,f844])). 1.10/1.37 tff(f963,plain,( 1.10/1.37 spl8_106 <=> some(int,t2tb2(0)) = nth1(int,sK2,t2tb1(sK0))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_106])])). 1.10/1.37 tff(f964,plain,( 1.10/1.37 some(int,t2tb2(0)) = nth1(int,sK2,t2tb1(sK0)) | ~spl8_106), 1.10/1.37 inference(avatar_component_clause,[],[f963])). 1.10/1.37 tff(f965,plain,( 1.10/1.37 spl8_106 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f961,f843,f479,f963])). 1.10/1.37 tff(f967,plain,( 1.10/1.37 spl8_109 <=> ~$less(sK7(sK0,sK2),0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_109])])). 1.10/1.37 tff(f968,plain,( 1.10/1.37 ~$less(sK7(sK0,sK2),0) | ~spl8_109), 1.10/1.37 inference(avatar_component_clause,[],[f967])). 1.10/1.37 tff(f969,plain,( 1.10/1.37 ~spl8_109 | spl8_1 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f943,f843,f479,f242,f967])). 1.10/1.37 tff(f971,plain,( 1.10/1.37 spl8_110 <=> $less(sK7(sK0,sK2),sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_110])])). 1.10/1.37 tff(f972,plain,( 1.10/1.37 $less(sK7(sK0,sK2),sK2) | ~spl8_110), 1.10/1.37 inference(avatar_component_clause,[],[f971])). 1.10/1.37 tff(f973,plain,( 1.10/1.37 spl8_110 | spl8_1 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f935,f843,f479,f242,f971])). 1.10/1.37 tff(f974,plain,( 1.10/1.37 ~spl8_3 | spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f923,f843,f479,f667,f276,f245])). 1.10/1.37 tff(f976,plain,( 1.10/1.37 spl8_112 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_112])])). 1.10/1.37 tff(f977,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) | ~spl8_112), 1.10/1.37 inference(avatar_component_clause,[],[f976])). 1.10/1.37 tff(f978,plain,( 1.10/1.37 spl8_112 | spl8_1 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f914,f843,f479,f242,f976])). 1.10/1.37 tff(f980,plain,( 1.10/1.37 spl8_115 <=> ~$less($sum(sK2,sK2),0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_115])])). 1.10/1.37 tff(f982,plain,( 1.10/1.37 ~spl8_115 | spl8_5 | ~spl8_24), 1.10/1.37 inference(avatar_split_clause,[],[f787,f297,f276,f980])). 1.10/1.37 tff(f984,plain,( 1.10/1.37 spl8_117 <=> ~$less(-1,$uminus(sK2))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_117])])). 1.10/1.37 tff(f985,plain,( 1.10/1.37 ~$less(-1,$uminus(sK2)) | ~spl8_117), 1.10/1.37 inference(avatar_component_clause,[],[f984])). 1.10/1.37 tff(f986,plain,( 1.10/1.37 ~spl8_117 | ~spl8_48), 1.10/1.37 inference(avatar_split_clause,[],[f744,f483,f984])). 1.10/1.37 tff(f989,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(sK2,X0),X1) | ~zero_at1(sK0,X1) | $less(X0,0)) ) | ~spl8_24), 1.10/1.37 inference(subsumption_resolution,[],[f714,f784])). 1.10/1.37 tff(f1005,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK2),0) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f909,f844])). 1.10/1.37 tff(f1006,plain,( 1.10/1.37 ~$less(sK7(sK0,sK2),0) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1005])). 1.10/1.37 tff(f1007,plain,( 1.10/1.37 ~$less(sK7(sK0,2),0) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_58 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1006,f560])). 1.10/1.37 tff(f1008,plain,( 1.10/1.37 zero_at1(sK0,2) | ~$less(sK7(sK0,2),0) | (~spl8_46 | ~spl8_58 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1007,f560])). 1.10/1.37 tff(f1010,plain,( 1.10/1.37 spl8_119 <=> ~$less(sK7(sK0,2),0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_119])])). 1.10/1.37 tff(f1013,plain,( 1.10/1.37 spl8_66 <=> zero_at1(sK0,2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_66])])). 1.10/1.37 tff(f1015,plain,( 1.10/1.37 ~spl8_119 | spl8_66 | ~spl8_46 | ~spl8_58 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1008,f843,f559,f479,f1013,f1010])). 1.10/1.37 tff(f1016,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,sK2),sK2) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f908,f844])). 1.10/1.37 tff(f1017,plain,( 1.10/1.37 $less(sK7(sK0,sK2),sK2) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1016])). 1.10/1.37 tff(f1018,plain,( 1.10/1.37 $less(sK7(sK0,2),2) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_58 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1017,f560])). 1.10/1.37 tff(f1019,plain,( 1.10/1.37 zero_at1(sK0,2) | $less(sK7(sK0,2),2) | (~spl8_46 | ~spl8_58 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1018,f560])). 1.10/1.37 tff(f1021,plain,( 1.10/1.37 spl8_120 <=> $less(sK7(sK0,2),2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_120])])). 1.10/1.37 tff(f1023,plain,( 1.10/1.37 spl8_120 | spl8_66 | ~spl8_46 | ~spl8_58 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1019,f843,f559,f479,f1013,f1021])). 1.10/1.37 tff(f1024,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f905,f844])). 1.10/1.37 tff(f1025,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1024])). 1.10/1.37 tff(f1026,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,2),t2tb1(sK0))) | zero_at1(sK0,sK2) | (~spl8_46 | ~spl8_58 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1025,f560])). 1.10/1.37 tff(f1027,plain,( 1.10/1.37 zero_at1(sK0,2) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,2),t2tb1(sK0))) | (~spl8_46 | ~spl8_58 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1026,f560])). 1.10/1.37 tff(f1029,plain,( 1.10/1.37 spl8_122 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,2),t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_122])])). 1.10/1.37 tff(f1031,plain,( 1.10/1.37 spl8_122 | spl8_66 | ~spl8_46 | ~spl8_58 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1027,f843,f559,f479,f1013,f1029])). 1.10/1.37 tff(f1034,plain,( 1.10/1.37 some(int,t2tb2(0)) = nth1(int,2,t2tb1(sK0)) | (~spl8_58 | ~spl8_106)), 1.10/1.37 inference(forward_demodulation,[],[f964,f560])). 1.10/1.37 tff(f1036,plain,( 1.10/1.37 spl8_124 <=> some(int,t2tb2(0)) = nth1(int,2,t2tb1(sK0))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_124])])). 1.10/1.37 tff(f1038,plain,( 1.10/1.37 spl8_124 | ~spl8_58 | ~spl8_106), 1.10/1.37 inference(avatar_split_clause,[],[f1034,f963,f559,f1036])). 1.10/1.37 tff(f1039,plain,( 1.10/1.37 ~$less(2,length1(int,t2tb1(sK0))) | (~spl8_3 | ~spl8_58)), 1.10/1.37 inference(forward_demodulation,[],[f246,f560])). 1.10/1.37 tff(f1041,plain,( 1.10/1.37 spl8_127 <=> ~$less(2,length1(int,t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_127])])). 1.10/1.37 tff(f1043,plain,( 1.10/1.37 ~spl8_127 | spl8_3 | ~spl8_58), 1.10/1.37 inference(avatar_split_clause,[],[f1039,f559,f245,f1041])). 1.10/1.37 tff(f1045,plain,( 1.10/1.37 spl8_0 <=> zero_at1(sK0,sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_0])])). 1.10/1.37 tff(f1046,plain,( 1.10/1.37 zero_at1(sK0,sK2) | ~spl8_0), 1.10/1.37 inference(avatar_component_clause,[],[f1045])). 1.10/1.37 tff(f1047,plain,( 1.10/1.37 spl8_0 | spl8_112 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1025,f843,f479,f976,f1045])). 1.10/1.37 tff(f1048,plain,( 1.10/1.37 spl8_0 | spl8_110 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1017,f843,f479,f971,f1045])). 1.10/1.37 tff(f1049,plain,( 1.10/1.37 spl8_0 | ~spl8_109 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1006,f843,f479,f967,f1045])). 1.10/1.37 tff(f1050,plain,( 1.10/1.37 ~spl8_57 | ~spl8_40), 1.10/1.37 inference(avatar_split_clause,[],[f956,f371,f544])). 1.10/1.37 tff(f1051,plain,( 1.10/1.37 ~spl8_57 | ~spl8_40), 1.10/1.37 inference(avatar_split_clause,[],[f542,f371,f544])). 1.10/1.37 tff(f1052,plain,( 1.10/1.37 ~spl8_57 | ~spl8_40), 1.10/1.37 inference(avatar_split_clause,[],[f588,f371,f544])). 1.10/1.37 tff(f1053,plain,( 1.10/1.37 spl8_58 | spl8_60 | spl8_57), 1.10/1.37 inference(avatar_split_clause,[],[f553,f544,f562,f559])). 1.10/1.37 tff(f1054,plain,( 1.10/1.37 spl8_58 | spl8_60 | spl8_57), 1.10/1.37 inference(avatar_split_clause,[],[f554,f544,f562,f559])). 1.10/1.37 tff(f1055,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,length1(int,t2tb1(sK0))) | ~$less(sK2,X0)) ) | ~spl8_3), 1.10/1.37 inference(resolution,[],[f246,f61])). 1.10/1.37 tff(f1056,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),sK2) | length1(int,t2tb1(sK0)) = sK2 | ~spl8_3), 1.10/1.37 inference(resolution,[],[f246,f62])). 1.10/1.37 tff(f1057,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),sK2) | length1(int,t2tb1(sK0)) = sK2 | ~spl8_3), 1.10/1.37 inference(resolution,[],[f246,f62])). 1.10/1.37 tff(f1058,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),$sum(sK2,1)) | ~spl8_3), 1.10/1.37 inference(resolution,[],[f246,f64])). 1.10/1.37 tff(f1059,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),sK2) | (~spl8_3 | ~spl8_7)), 1.10/1.37 inference(subsumption_resolution,[],[f1056,f253])). 1.10/1.37 tff(f1061,plain,( 1.10/1.37 spl8_128 <=> $less(length1(int,t2tb1(sK0)),sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_128])])). 1.10/1.37 tff(f1062,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),sK2) | ~spl8_128), 1.10/1.37 inference(avatar_component_clause,[],[f1061])). 1.10/1.37 tff(f1063,plain,( 1.10/1.37 spl8_128 | spl8_3 | spl8_7), 1.10/1.37 inference(avatar_split_clause,[],[f1059,f252,f245,f1061])). 1.10/1.37 tff(f1064,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),sK2) | (~spl8_3 | ~spl8_7)), 1.10/1.37 inference(subsumption_resolution,[],[f1057,f253])). 1.10/1.37 tff(f1065,plain,( 1.10/1.37 spl8_128 | spl8_3 | spl8_7), 1.10/1.37 inference(avatar_split_clause,[],[f1064,f252,f245,f1061])). 1.10/1.37 tff(f1066,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),$sum(1,sK2)) | ~spl8_3), 1.10/1.37 inference(forward_demodulation,[],[f1058,f55])). 1.10/1.37 tff(f1068,plain,( 1.10/1.37 spl8_130 <=> $less(length1(int,t2tb1(sK0)),$sum(1,sK2))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_130])])). 1.10/1.37 tff(f1069,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),$sum(1,sK2)) | ~spl8_130), 1.10/1.37 inference(avatar_component_clause,[],[f1068])). 1.10/1.37 tff(f1070,plain,( 1.10/1.37 spl8_130 | spl8_3), 1.10/1.37 inference(avatar_split_clause,[],[f1066,f245,f1068])). 1.10/1.37 tff(f1075,plain,( 1.10/1.37 spl8_133 <=> ~$less(sK6(sK0),sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_133])])). 1.10/1.37 tff(f1076,plain,( 1.10/1.37 ~$less(sK6(sK0),sK2) | ~spl8_133), 1.10/1.37 inference(avatar_component_clause,[],[f1075])). 1.10/1.37 tff(f1077,plain,( 1.10/1.37 spl8_8 | ~spl8_133), 1.10/1.37 inference(avatar_split_clause,[],[f664,f1075,f667])). 1.10/1.37 tff(f1078,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | $less(X0,0)) ) | ~spl8_24), 1.10/1.37 inference(subsumption_resolution,[],[f725,f784])). 1.10/1.37 tff(f1080,plain,( 1.10/1.37 spl8_134 <=> ! [X0 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | $less(X0,0) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0))))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_134])])). 1.10/1.37 tff(f1081,plain,( 1.10/1.37 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | $less(X0,0) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0)))) ) | ~spl8_134), 1.10/1.37 inference(avatar_component_clause,[],[f1080])). 1.10/1.37 tff(f1082,plain,( 1.10/1.37 ~spl8_9 | spl8_134 | ~spl8_24), 1.10/1.37 inference(avatar_split_clause,[],[f1078,f297,f1080,f255])). 1.10/1.37 tff(f1083,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK2,length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | (~spl8_5 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f920,f844])). 1.10/1.37 tff(f1084,plain,( 1.10/1.37 ~$less(sK2,length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | (~spl8_5 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1083])). 1.10/1.37 tff(f1085,plain,( 1.10/1.37 ~spl8_9 | ~spl8_3 | spl8_5 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1084,f843,f479,f276,f245,f255])). 1.10/1.37 tff(f1087,plain,( 1.10/1.37 $less(sK2,sK6(sK0)) | sK2 = sK6(sK0) | ~spl8_133), 1.10/1.37 inference(resolution,[],[f1076,f62])). 1.10/1.37 tff(f1088,plain,( 1.10/1.37 $less(sK2,sK6(sK0)) | sK2 = sK6(sK0) | ~spl8_133), 1.10/1.37 inference(resolution,[],[f1076,f62])). 1.10/1.37 tff(f1089,plain,( 1.10/1.37 $less(sK2,$sum(sK6(sK0),1)) | ~spl8_133), 1.10/1.37 inference(resolution,[],[f1076,f64])). 1.10/1.37 tff(f1091,plain,( 1.10/1.37 spl8_136 <=> sK2 = sK6(sK0)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_136])])). 1.10/1.37 tff(f1094,plain,( 1.10/1.37 spl8_138 <=> $less(sK2,sK6(sK0))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_138])])). 1.10/1.37 tff(f1096,plain,( 1.10/1.37 spl8_136 | spl8_138 | spl8_133), 1.10/1.37 inference(avatar_split_clause,[],[f1087,f1075,f1094,f1091])). 1.10/1.37 tff(f1097,plain,( 1.10/1.37 spl8_136 | spl8_138 | spl8_133), 1.10/1.37 inference(avatar_split_clause,[],[f1088,f1075,f1094,f1091])). 1.10/1.37 tff(f1098,plain,( 1.10/1.37 $less(sK2,$sum(1,sK6(sK0))) | ~spl8_133), 1.10/1.37 inference(forward_demodulation,[],[f1089,f55])). 1.10/1.37 tff(f1100,plain,( 1.10/1.37 spl8_140 <=> $less(sK2,$sum(1,sK6(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_140])])). 1.10/1.37 tff(f1102,plain,( 1.10/1.37 spl8_140 | spl8_133), 1.10/1.37 inference(avatar_split_clause,[],[f1098,f1075,f1100])). 1.10/1.37 tff(f1103,plain,( 1.10/1.37 ~$less(sK2,length1(int,t2tb1(sK0))) | (~spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f922])). 1.10/1.37 tff(f1104,plain,( 1.10/1.37 ~spl8_3 | spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f923,f843,f479,f667,f276,f245])). 1.10/1.37 tff(f1105,plain,( 1.10/1.37 ~spl8_3 | spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1103,f843,f479,f667,f276,f245])). 1.10/1.37 tff(f1106,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK2,length1(int,t2tb1(sK0))) | (~spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f921,f844])). 1.10/1.37 tff(f1107,plain,( 1.10/1.37 ~$less(sK2,length1(int,t2tb1(sK0))) | (~spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1106])). 1.10/1.37 tff(f1108,plain,( 1.10/1.37 ~spl8_3 | spl8_5 | ~spl8_8 | ~spl8_46 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1107,f843,f479,f667,f276,f245])). 1.10/1.37 tff(f1110,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),sK2) | length1(int,t2tb1(sK0)) = sK2 | ~spl8_3), 1.10/1.37 inference(resolution,[],[f246,f62])). 1.10/1.37 tff(f1111,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),sK2) | length1(int,t2tb1(sK0)) = sK2 | ~spl8_3), 1.10/1.37 inference(resolution,[],[f246,f62])). 1.10/1.37 tff(f1119,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,length1(int,t2tb1(sK0))) | $less(X0,sK2)) ) | ~spl8_128), 1.10/1.37 inference(resolution,[],[f1062,f61])). 1.10/1.37 tff(f1120,plain,( 1.10/1.37 ( ! [X1:$int] : ($less(length1(int,t2tb1(sK0)),X1) | ~$less(sK2,X1)) ) | ~spl8_128), 1.10/1.37 inference(resolution,[],[f1062,f61])). 1.10/1.37 tff(f1121,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum(length1(int,t2tb1(sK0)),X2),$sum(sK2,X2))) ) | ~spl8_128), 1.10/1.37 inference(resolution,[],[f1062,f63])). 1.10/1.37 tff(f1122,plain,( 1.10/1.37 ~$less(sK2,$sum(length1(int,t2tb1(sK0)),1)) | ~spl8_128), 1.10/1.37 inference(resolution,[],[f1062,f72])). 1.10/1.37 tff(f1123,plain,( 1.10/1.37 ~$less(sK2,$sum(1,length1(int,t2tb1(sK0)))) | ~spl8_128), 1.10/1.37 inference(forward_demodulation,[],[f1122,f55])). 1.10/1.37 tff(f1125,plain,( 1.10/1.37 spl8_143 <=> ~$less(sK2,$sum(1,length1(int,t2tb1(sK0))))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_143])])). 1.10/1.37 tff(f1126,plain,( 1.10/1.37 ~$less(sK2,$sum(1,length1(int,t2tb1(sK0)))) | ~spl8_143), 1.10/1.37 inference(avatar_component_clause,[],[f1125])). 1.10/1.37 tff(f1127,plain,( 1.10/1.37 ~spl8_143 | ~spl8_128), 1.10/1.37 inference(avatar_split_clause,[],[f1123,f1061,f1125])). 1.10/1.37 tff(f1128,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(X0,length1(int,t2tb1(sK0))) | $less(X0,$sum(1,sK2))) ) | ~spl8_130), 1.10/1.37 inference(resolution,[],[f1069,f61])). 1.10/1.37 tff(f1129,plain,( 1.10/1.37 ( ! [X1:$int] : ($less(length1(int,t2tb1(sK0)),X1) | ~$less($sum(1,sK2),X1)) ) | ~spl8_130), 1.10/1.37 inference(resolution,[],[f1069,f61])). 1.10/1.37 tff(f1130,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum(length1(int,t2tb1(sK0)),X2),$sum($sum(1,sK2),X2))) ) | ~spl8_130), 1.10/1.37 inference(resolution,[],[f1069,f63])). 1.10/1.37 tff(f1131,plain,( 1.10/1.37 ~$less($sum(1,sK2),$sum(length1(int,t2tb1(sK0)),1)) | ~spl8_130), 1.10/1.37 inference(resolution,[],[f1069,f72])). 1.10/1.37 tff(f1132,plain,( 1.10/1.37 ( ! [X2:$int] : ($less($sum(length1(int,t2tb1(sK0)),X2),$sum(1,$sum(sK2,X2)))) ) | ~spl8_130), 1.10/1.37 inference(forward_demodulation,[],[f1130,f56])). 1.10/1.37 tff(f1133,plain,( 1.10/1.37 ~$less($sum(1,sK2),$sum(1,length1(int,t2tb1(sK0)))) | ~spl8_130), 1.10/1.37 inference(forward_demodulation,[],[f1131,f55])). 1.10/1.37 tff(f1135,plain,( 1.10/1.37 spl8_145 <=> ~$less($sum(1,sK2),$sum(1,length1(int,t2tb1(sK0))))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_145])])). 1.10/1.37 tff(f1136,plain,( 1.10/1.37 ~$less($sum(1,sK2),$sum(1,length1(int,t2tb1(sK0)))) | ~spl8_145), 1.10/1.37 inference(avatar_component_clause,[],[f1135])). 1.10/1.37 tff(f1137,plain,( 1.10/1.37 ~spl8_145 | ~spl8_130), 1.10/1.37 inference(avatar_split_clause,[],[f1133,f1068,f1135])). 1.10/1.37 tff(f1138,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : (~$less(X1,sK2) | ~zero_at1(sK0,X0) | ~$less(X0,X1) | $less(X0,0)) )), 1.10/1.37 inference(resolution,[],[f690,f61])). 1.10/1.37 tff(f1139,plain,( 1.10/1.37 ( ! [X2:$int] : ($less(X2,0) | ~zero_at1(sK0,X2) | $less(sK2,X2) | sK2 = X2) )), 1.10/1.37 inference(resolution,[],[f690,f62])). 1.10/1.37 tff(f1142,plain,( 1.10/1.37 $less(length1(int,t2tb1(sK0)),0) | ~zero_at1(sK0,length1(int,t2tb1(sK0))) | ~spl8_128), 1.10/1.37 inference(resolution,[],[f690,f1062])). 1.10/1.37 tff(f1143,plain,( 1.10/1.37 $less(0,0) | ~zero_at1(sK0,0) | ~spl8_24), 1.10/1.37 inference(resolution,[],[f690,f298])). 1.10/1.37 tff(f1147,plain,( 1.10/1.37 ~zero_at1(sK0,0) | ~spl8_24), 1.10/1.37 inference(evaluation,[],[f1143])). 1.10/1.37 tff(f1148,plain,( 1.10/1.37 ( ! [X2:$int] : (~zero_at1(sK0,X2) | $less(X2,0) | sK2 = X2) ) | (~spl8_5 | ~spl8_46 | ~spl8_94)), 1.10/1.37 inference(subsumption_resolution,[],[f1139,f931])). 1.10/1.37 tff(f1149,plain,( 1.10/1.37 ~zero_at1(sK0,length1(int,t2tb1(sK0))) | ~spl8_128), 1.10/1.37 inference(subsumption_resolution,[],[f1142,f197])). 1.10/1.37 tff(f1151,plain,( 1.10/1.37 spl8_147 <=> ~zero_at1(sK0,length1(int,t2tb1(sK0)))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_147])])). 1.10/1.37 tff(f1153,plain,( 1.10/1.37 ~spl8_147 | ~spl8_128), 1.10/1.37 inference(avatar_split_clause,[],[f1149,f1061,f1151])). 1.10/1.37 tff(f1154,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : (~$less(X1,length1(int,t2tb1(sK0))) | ~$less(X0,X1) | ~$less(sK2,X0)) ) | ~spl8_3), 1.10/1.37 inference(resolution,[],[f1055,f61])). 1.10/1.37 tff(f1157,plain,( 1.10/1.37 ( ! [X4:$int] : ($less(length1(int,t2tb1(sK0)),$sum(X4,1)) | ~$less(sK2,X4)) ) | ~spl8_3), 1.10/1.37 inference(resolution,[],[f1055,f64])). 1.10/1.37 tff(f1158,plain,( 1.10/1.37 ~$less(sK2,sK6(sK0)) | no_zero1(sK0) | ~spl8_3), 1.10/1.37 inference(resolution,[],[f1055,f194])). 1.10/1.37 tff(f1159,plain,( 1.10/1.37 ~$less(sK2,-1) | ~spl8_3), 1.10/1.37 inference(resolution,[],[f1055,f385])). 1.10/1.37 tff(f1161,plain,( 1.10/1.37 spl8_149 <=> ~$less(sK2,-1)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_149])])). 1.10/1.37 tff(f1162,plain,( 1.10/1.37 ~$less(sK2,-1) | ~spl8_149), 1.10/1.37 inference(avatar_component_clause,[],[f1161])). 1.10/1.37 tff(f1163,plain,( 1.10/1.37 ~spl8_149 | spl8_3), 1.10/1.37 inference(avatar_split_clause,[],[f1159,f245,f1161])). 1.10/1.37 tff(f1167,plain,( 1.10/1.37 $less(-1,$sum(sK2,1)) | ~spl8_149), 1.10/1.37 inference(resolution,[],[f1162,f64])). 1.10/1.37 tff(f1168,plain,( 1.10/1.37 $less($sum(-1,-1),sK2) | ~spl8_149), 1.10/1.37 inference(evaluation,[],[f1167])). 1.10/1.37 tff(f1169,plain,( 1.10/1.37 $less(-2,sK2) | ~spl8_149), 1.10/1.37 inference(evaluation,[],[f1168])). 1.10/1.37 tff(f1171,plain,( 1.10/1.37 spl8_150 <=> $less(-2,sK2)), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_150])])). 1.10/1.37 tff(f1173,plain,( 1.10/1.37 spl8_150 | spl8_149), 1.10/1.37 inference(avatar_split_clause,[],[f1169,f1161,f1171])). 1.10/1.37 tff(f1175,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(1,sK2) | $less(1,0) | ~spl8_54), 1.10/1.37 inference(superposition,[],[f162,f509])). 1.10/1.37 tff(f1176,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,1),t2tb1(sK0))) | zero_at1(sK0,1) | ~spl8_54), 1.10/1.37 inference(superposition,[],[f219,f509])). 1.10/1.37 tff(f1177,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(1,length1(int,t2tb1(sK0))) | $less(1,0) | ~no_zero1(sK0) | ~spl8_54), 1.10/1.37 inference(superposition,[],[f196,f509])). 1.10/1.37 tff(f1179,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | $less(sK7(sK0,1),1) | zero_at1(sK0,1) | ~spl8_54), 1.10/1.37 inference(superposition,[],[f218,f509])). 1.10/1.37 tff(f1180,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK7(sK0,1),0) | zero_at1(sK0,1) | ~spl8_54), 1.10/1.37 inference(superposition,[],[f217,f509])). 1.10/1.37 tff(f1182,plain,( 1.10/1.37 nth1(int,1,t2tb1(sK0)) = t2tb(tb2t(nth1(int,0,t2tb1(sK1)))) | ~spl8_54), 1.10/1.37 inference(superposition,[],[f179,f509])). 1.10/1.37 tff(f1184,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(1,length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | ~spl8_54), 1.10/1.37 inference(evaluation,[],[f1177])). 1.10/1.37 tff(f1185,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(1,sK2) | ~spl8_54), 1.10/1.37 inference(evaluation,[],[f1175])). 1.10/1.37 tff(f1186,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | (~spl8_40 | ~spl8_54)), 1.10/1.37 inference(subsumption_resolution,[],[f1185,f372])). 1.10/1.37 tff(f1187,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | (~spl8_40 | ~spl8_54 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1186,f844])). 1.10/1.37 tff(f1188,plain,( 1.10/1.37 $false | (~spl8_40 | ~spl8_54 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1187])). 1.10/1.37 tff(f1189,plain,( 1.10/1.37 ~spl8_40 | ~spl8_54 | ~spl8_94), 1.10/1.37 inference(avatar_contradiction_clause,[],[f1188])). 1.10/1.37 tff(f1190,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,1),t2tb1(sK0))) | (~spl8_54 | ~spl8_63)), 1.10/1.37 inference(subsumption_resolution,[],[f1176,f582])). 1.10/1.37 tff(f1191,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,1),t2tb1(sK0))) | (~spl8_54 | ~spl8_63 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1190,f844])). 1.10/1.37 tff(f1192,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,1),t2tb1(sK0))) | (~spl8_54 | ~spl8_63 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1191])). 1.10/1.37 tff(f1193,plain,( 1.10/1.37 spl8_96 | ~spl8_54 | spl8_63 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1192,f843,f581,f508,f917])). 1.10/1.37 tff(f1194,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(1,length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_54)), 1.10/1.37 inference(subsumption_resolution,[],[f1184,f668])). 1.10/1.37 tff(f1195,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(1,length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_54 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1194,f844])). 1.10/1.37 tff(f1196,plain,( 1.10/1.37 ~$less(1,length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_54 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1195])). 1.10/1.37 tff(f1197,plain,( 1.10/1.37 ~spl8_99 | ~spl8_8 | ~spl8_54 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1196,f843,f508,f667,f926])). 1.10/1.37 tff(f1200,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | $less(sK7(sK0,1),1) | (~spl8_54 | ~spl8_63)), 1.10/1.37 inference(subsumption_resolution,[],[f1179,f582])). 1.10/1.37 tff(f1201,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,1),1) | (~spl8_54 | ~spl8_63 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1200,f844])). 1.10/1.37 tff(f1202,plain,( 1.10/1.37 $less(sK7(sK0,1),1) | (~spl8_54 | ~spl8_63 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1201])). 1.10/1.37 tff(f1203,plain,( 1.10/1.37 spl8_100 | ~spl8_54 | spl8_63 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1202,f843,f581,f508,f938])). 1.10/1.37 tff(f1204,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | ~$less(sK7(sK0,1),0) | (~spl8_54 | ~spl8_63)), 1.10/1.37 inference(subsumption_resolution,[],[f1180,f582])). 1.10/1.37 tff(f1205,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,1),0) | (~spl8_54 | ~spl8_63 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1204,f844])). 1.10/1.37 tff(f1206,plain,( 1.10/1.37 ~$less(sK7(sK0,1),0) | (~spl8_54 | ~spl8_63 | ~spl8_94)), 1.10/1.37 inference(trivial_inequality_removal,[],[f1205])). 1.10/1.37 tff(f1207,plain,( 1.10/1.37 ~spl8_103 | ~spl8_54 | spl8_63 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1206,f843,f581,f508,f946])). 1.10/1.37 tff(f1208,plain,( 1.10/1.37 nth1(int,0,t2tb1(sK1)) = nth1(int,1,t2tb1(sK0)) | ~spl8_54), 1.10/1.37 inference(forward_demodulation,[],[f1182,f179])). 1.10/1.37 tff(f1209,plain,( 1.10/1.37 some(int,t2tb2(0)) = nth1(int,1,t2tb1(sK0)) | (~spl8_54 | ~spl8_94)), 1.10/1.37 inference(forward_demodulation,[],[f1208,f844])). 1.10/1.37 tff(f1210,plain,( 1.10/1.37 spl8_104 | ~spl8_54 | ~spl8_94), 1.10/1.37 inference(avatar_split_clause,[],[f1209,f843,f508,f953])). 1.10/1.37 tff(f1211,plain,( 1.10/1.37 ( ! [X0:$int] : (~$less(sK2,$sum(X0,length1(int,t2tb1(sK1)))) | ~$less(X0,sK2)) ) | (~spl8_3 | ~spl8_18)), 1.10/1.37 inference(resolution,[],[f330,f1055])). 1.10/1.37 tff(f1212,plain,( 1.10/1.37 ( ! [X2:$int,X1:$int] : (~$less(X2,$sum(X1,length1(int,t2tb1(sK1)))) | ~$less(X1,sK2) | $less(X2,length1(int,t2tb1(sK0)))) ) | ~spl8_18), 1.10/1.37 inference(resolution,[],[f330,f61])). 1.10/1.37 tff(f1213,plain,( 1.10/1.37 ( ! [X4:$int,X3:$int] : ($less($sum(X3,length1(int,t2tb1(sK1))),X4) | ~$less(length1(int,t2tb1(sK0)),X4) | ~$less(X3,sK2)) ) | ~spl8_18), 1.10/1.37 inference(resolution,[],[f330,f61])). 1.10/1.37 tff(f1214,plain,( 1.10/1.37 ( ! [X6:$int,X5:$int] : (~$less(X5,sK2) | $less($sum($sum(X5,length1(int,t2tb1(sK1))),X6),$sum(length1(int,t2tb1(sK0)),X6))) ) | ~spl8_18), 1.10/1.37 inference(resolution,[],[f330,f63])). 1.10/1.37 tff(f1215,plain,( 1.10/1.37 ( ! [X7:$int] : (~$less(X7,sK2) | ~$less(length1(int,t2tb1(sK0)),$sum($sum(X7,length1(int,t2tb1(sK1))),1))) ) | ~spl8_18), 1.10/1.37 inference(resolution,[],[f330,f72])). 1.10/1.37 tff(f1216,plain,( 1.10/1.37 ( ! [X0:$int] : ($less($sum(length1(int,t2tb1(sK1)),X0),length1(int,t2tb1(sK0))) | ~$less(X0,sK2)) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f330,f55])). 1.10/1.37 tff(f1218,plain,( 1.10/1.37 ( ! [X2:$int,X3:$int] : ($less($sum(X2,$sum(X3,length1(int,t2tb1(sK1)))),length1(int,t2tb1(sK0))) | ~$less($sum(X2,X3),sK2)) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f330,f56])). 1.10/1.37 tff(f1220,plain,( 1.10/1.37 ( ! [X6:$int,X5:$int] : ($less($sum(X5,$sum(length1(int,t2tb1(sK1)),X6)),$sum(length1(int,t2tb1(sK0)),X6)) | ~$less(X5,sK2)) ) | ~spl8_18), 1.10/1.37 inference(forward_demodulation,[],[f1214,f56])). 1.10/1.37 tff(f1221,plain,( 1.10/1.37 ( ! [X7:$int] : (~$less(length1(int,t2tb1(sK0)),$sum(1,$sum(X7,length1(int,t2tb1(sK1))))) | ~$less(X7,sK2)) ) | ~spl8_18), 1.10/1.37 inference(forward_demodulation,[],[f1215,f55])). 1.10/1.37 tff(f1222,plain,( 1.10/1.37 ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,length1(int,t2tb1(sK1)))) | ~$less(X1,length1(int,t2tb1(sK0))) | ~$less(sK2,X0)) ) | ~spl8_18), 1.10/1.37 inference(resolution,[],[f331,f61])). 1.10/1.37 tff(f1223,plain,( 1.10/1.37 ( ! [X2:$int,X3:$int] : (~$less($sum(X2,length1(int,t2tb1(sK1))),X3) | ~$less(sK2,X2) | $less(length1(int,t2tb1(sK0)),X3)) ) | ~spl8_18), 1.10/1.37 inference(resolution,[],[f331,f61])). 1.10/1.37 tff(f1226,plain,( 1.10/1.37 ( ! [X0:$int] : ($less(length1(int,t2tb1(sK0)),$sum(length1(int,t2tb1(sK1)),X0)) | ~$less(sK2,X0)) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f331,f55])). 1.10/1.37 tff(f1228,plain,( 1.10/1.37 ( ! [X2:$int,X3:$int] : ($less(length1(int,t2tb1(sK0)),$sum(X2,$sum(X3,length1(int,t2tb1(sK1))))) | ~$less(sK2,$sum(X2,X3))) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f331,f56])). 1.10/1.37 tff(f1232,plain,( 1.10/1.37 $sum(sK2,0) = $sum(length1(int,t2tb1(sK0)),$uminus(length1(int,t2tb1(sK1)))) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f329,f59])). 1.10/1.37 tff(f1234,plain,( 1.10/1.37 ( ! [X0:$int] : ($sum(length1(int,t2tb1(sK0)),X0) = $sum(sK2,$sum(X0,length1(int,t2tb1(sK1))))) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f329,f55])). 1.10/1.37 tff(f1237,plain,( 1.10/1.37 ( ! [X1:$int] : (tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X1),t2tb1(sK0))) = tb2t(nth1(int,$sum(length1(int,t2tb1(sK1)),X1),t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X1),0)) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f163,f329])). 1.10/1.37 tff(f1242,plain,( 1.10/1.37 $sum(length1(int,t2tb1(sK0)),$uminus(length1(int,t2tb1(sK1)))) = sK2 | ~spl8_18), 1.10/1.37 inference(evaluation,[],[f1232])). 1.10/1.37 tff(f1244,plain,( 1.10/1.37 spl8_152 <=> $sum(length1(int,t2tb1(sK0)),$uminus(length1(int,t2tb1(sK1)))) = sK2), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_152])])). 1.10/1.37 tff(f1245,plain,( 1.10/1.37 $sum(length1(int,t2tb1(sK0)),$uminus(length1(int,t2tb1(sK1)))) = sK2 | ~spl8_152), 1.10/1.37 inference(avatar_component_clause,[],[f1244])). 1.10/1.37 tff(f1246,plain,( 1.10/1.37 spl8_152 | ~spl8_18), 1.10/1.37 inference(avatar_split_clause,[],[f1242,f280,f1244])). 1.10/1.37 tff(f1260,plain,( 1.10/1.37 nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) = nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1)) | $less(length1(int,t2tb1(sK1)),0) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f470,f281])). 1.10/1.37 tff(f1261,plain,( 1.10/1.37 ( ! [X0:$int] : (nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0)) = nth1(int,$sum(length1(int,t2tb1(sK1)),X0),t2tb1(sK1)) | $less($sum(length1(int,t2tb1(sK1)),X0),0)) ) | ~spl8_18), 1.10/1.37 inference(superposition,[],[f470,f329])). 1.10/1.37 tff(f1262,plain,( 1.10/1.37 nth1(int,0,t2tb1(sK0)) = nth1(int,$uminus(sK2),t2tb1(sK1)) | $less($uminus(sK2),0)), 1.10/1.37 inference(superposition,[],[f470,f59])). 1.10/1.37 tff(f1268,plain,( 1.10/1.37 ( ! [X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK1))) | ~$less($sum(sK2,X3),length1(int,t2tb1(sK0))) | $less($sum(sK2,X3),0) | ~no_zero1(sK0) | $less(X3,0)) )), 1.10/1.37 inference(superposition,[],[f196,f470])). 1.10/1.37 tff(f1275,plain,( 1.10/1.37 nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) = nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1)) | ~spl8_18), 1.10/1.37 inference(subsumption_resolution,[],[f1260,f197])). 1.10/1.37 tff(f1277,plain,( 1.10/1.37 spl8_154 <=> nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) = nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1))), 1.10/1.37 introduced(avatar_definition,[new_symbols(naming,[spl8_154])])). 1.10/1.37 tff(f1278,plain,( 1.10/1.37 nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) = nth1(int,length1(int,t2tb1(sK1)),t2tb1(sK1)) | ~spl8_154), 1.10/1.37 inference(avatar_component_clause,[],[f1277])). 1.10/1.37 tff(f1279,plain,( 1.10/1.37 spl8_154 | ~spl8_18), 1.10/1.37 inference(avatar_split_clause,[],[f1275,f280,f1277])). 1.10/1.37 tff(f1284,plain,( 1.10/1.37 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(sK1))) | $less(X1,0) | ~zero_at1(sK0,$sum(X1,sK2))) )), 1.10/1.37 inference(superposition,[],[f443,f215])). 1.10/1.37 tff(f1287,plain,( 1.10/1.37 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(sK1))) | ~$less($sum(X2,sK2),length1(int,t2tb1(sK0))) | $less($sum(X2,sK2),0) | ~no_zero1(sK0) | $less(X2,0)) )), 1.10/1.37 inference(superposition,[],[f196,f443])). 1.10/1.37 tff(f1288,plain,( 1.10/1.37 ( ! [X4:$int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK1))) | ~$less($sum(X3,sK2),X4) | $less($sum(X3,sK2),0) | ~zero_at1(sK0,X4) | $less(X3,0)) )), 1.10/1.37 inference(superposition,[],[f216,f443])). 1.10/1.37 tff(f1295,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~zero_at1(sK1,length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.37 inference(superposition,[],[f491,f215])). 1.10/1.37 tff(f1296,plain,( 1.10/1.37 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,length1(int,t2tb1(sK1))),t2tb1(sK1))) | zero_at1(sK1,length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f219,f491])). 1.10/1.38 tff(f1298,plain,( 1.10/1.38 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~$less(length1(int,t2tb1(sK1)),X0) | $less(length1(int,t2tb1(sK1)),0) | ~zero_at1(sK1,X0)) ) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f216,f491])). 1.10/1.38 tff(f1299,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | $less(sK7(sK1,length1(int,t2tb1(sK1))),length1(int,t2tb1(sK1))) | zero_at1(sK1,length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f218,f491])). 1.10/1.38 tff(f1300,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~$less(sK7(sK1,length1(int,t2tb1(sK1))),0) | zero_at1(sK1,length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f217,f491])). 1.10/1.38 tff(f1301,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~zero_at1(sK1,length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f215,f491])). 1.10/1.38 tff(f1304,plain,( 1.10/1.38 spl8_157 <=> ~zero_at1(sK1,length1(int,t2tb1(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_157])])). 1.10/1.38 tff(f1305,plain,( 1.10/1.38 ~zero_at1(sK1,length1(int,t2tb1(sK1))) | ~spl8_157), 1.10/1.38 inference(avatar_component_clause,[],[f1304])). 1.10/1.38 tff(f1307,plain,( 1.10/1.38 spl8_158 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_158])])). 1.10/1.38 tff(f1308,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_158), 1.10/1.38 inference(avatar_component_clause,[],[f1307])). 1.10/1.38 tff(f1309,plain,( 1.10/1.38 ~spl8_157 | spl8_158 | ~spl8_52), 1.10/1.38 inference(avatar_split_clause,[],[f1295,f490,f1307,f1304])). 1.10/1.38 tff(f1311,plain,( 1.10/1.38 spl8_156 <=> zero_at1(sK1,length1(int,t2tb1(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_156])])). 1.10/1.38 tff(f1314,plain,( 1.10/1.38 spl8_160 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,length1(int,t2tb1(sK1))),t2tb1(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_160])])). 1.10/1.38 tff(f1317,plain,( 1.10/1.38 spl8_159 <=> tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_159])])). 1.10/1.38 tff(f1318,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_159), 1.10/1.38 inference(avatar_component_clause,[],[f1317])). 1.10/1.38 tff(f1319,plain,( 1.10/1.38 spl8_156 | spl8_160 | ~spl8_159 | ~spl8_52), 1.10/1.38 inference(avatar_split_clause,[],[f1296,f490,f1317,f1314,f1311])). 1.10/1.38 tff(f1320,plain,( 1.10/1.38 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~$less(length1(int,t2tb1(sK1)),X0) | ~zero_at1(sK1,X0)) ) | ~spl8_52), 1.10/1.38 inference(subsumption_resolution,[],[f1298,f197])). 1.10/1.38 tff(f1322,plain,( 1.10/1.38 spl8_162 <=> ! [X0 : $int] : (~$less(length1(int,t2tb1(sK1)),X0) | ~zero_at1(sK1,X0))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_162])])). 1.10/1.38 tff(f1324,plain,( 1.10/1.38 spl8_162 | ~spl8_159 | ~spl8_52), 1.10/1.38 inference(avatar_split_clause,[],[f1320,f490,f1317,f1322])). 1.10/1.38 tff(f1326,plain,( 1.10/1.38 spl8_164 <=> $less(sK7(sK1,length1(int,t2tb1(sK1))),length1(int,t2tb1(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_164])])). 1.10/1.38 tff(f1328,plain,( 1.10/1.38 spl8_156 | spl8_164 | ~spl8_159 | ~spl8_52), 1.10/1.38 inference(avatar_split_clause,[],[f1299,f490,f1317,f1326,f1311])). 1.10/1.38 tff(f1330,plain,( 1.10/1.38 spl8_167 <=> ~$less(sK7(sK1,length1(int,t2tb1(sK1))),0)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_167])])). 1.10/1.38 tff(f1332,plain,( 1.10/1.38 spl8_156 | ~spl8_167 | ~spl8_159 | ~spl8_52), 1.10/1.38 inference(avatar_split_clause,[],[f1300,f490,f1317,f1330,f1311])). 1.10/1.38 tff(f1333,plain,( 1.10/1.38 ~spl8_157 | spl8_158 | ~spl8_52), 1.10/1.38 inference(avatar_split_clause,[],[f1301,f490,f1307,f1304])). 1.10/1.38 tff(f1338,plain,( 1.10/1.38 $less(2,$sum(sK2,1)) | ~spl8_57), 1.10/1.38 inference(resolution,[],[f545,f64])). 1.10/1.38 tff(f1339,plain,( 1.10/1.38 $less($sum(2,-1),sK2) | ~spl8_57), 1.10/1.38 inference(evaluation,[],[f1338])). 1.10/1.38 tff(f1340,plain,( 1.10/1.38 $less(1,sK2) | ~spl8_57), 1.10/1.38 inference(evaluation,[],[f1339])). 1.10/1.38 tff(f1341,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | $less(length1(int,t2tb1(sK1)),0) | ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK1)))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f688,f491])). 1.10/1.38 tff(f1342,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | $less(length1(int,t2tb1(sK1)),0) | ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK1)))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f491,f688])). 1.10/1.38 tff(f1343,plain,( 1.10/1.38 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,X0),t2tb1(sK1))) | zero_at1(sK1,X0) | $less(X0,0) | ~zero_at1(sK0,$sum(sK2,X0))) )), 1.10/1.38 inference(superposition,[],[f219,f688])). 1.10/1.38 tff(f1344,plain,( 1.10/1.38 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X1,length1(int,t2tb1(sK1))) | $less(X1,0) | ~no_zero1(sK1) | $less(X1,0) | ~zero_at1(sK0,$sum(sK2,X1))) )), 1.10/1.38 inference(superposition,[],[f196,f688])). 1.10/1.38 tff(f1345,plain,( 1.10/1.38 ( ! [X2:$int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X2,X3) | $less(X2,0) | ~zero_at1(sK1,X3) | $less(X2,0) | ~zero_at1(sK0,$sum(sK2,X2))) )), 1.10/1.38 inference(superposition,[],[f216,f688])). 1.10/1.38 tff(f1347,plain,( 1.10/1.38 ( ! [X5:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK1,X5),0) | zero_at1(sK1,X5) | $less(X5,0) | ~zero_at1(sK0,$sum(sK2,X5))) )), 1.10/1.38 inference(superposition,[],[f217,f688])). 1.10/1.38 tff(f1348,plain,( 1.10/1.38 ( ! [X7:$int] : (nth1(int,X7,t2tb1(sK1)) = t2tb(tb2t(some(int,t2tb2(0)))) | $less(X7,0) | ~zero_at1(sK0,$sum(sK2,X7))) )), 1.10/1.38 inference(superposition,[],[f179,f688])). 1.10/1.38 tff(f1349,plain,( 1.10/1.38 ( ! [X5:$int] : (~$less(sK7(sK1,X5),0) | zero_at1(sK1,X5) | $less(X5,0) | ~zero_at1(sK0,$sum(sK2,X5))) )), 1.10/1.38 inference(trivial_inequality_removal,[],[f1347])). 1.10/1.38 tff(f1351,plain,( 1.10/1.38 ( ! [X2:$int,X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X2,X3) | $less(X2,0) | ~zero_at1(sK1,X3) | ~zero_at1(sK0,$sum(sK2,X2))) )), 1.10/1.38 inference(duplicate_literal_removal,[],[f1345])). 1.10/1.38 tff(f1352,plain,( 1.10/1.38 ( ! [X2:$int,X3:$int] : (~zero_at1(sK0,$sum(sK2,X2)) | $less(X2,0) | ~zero_at1(sK1,X3) | ~$less(X2,X3)) )), 1.10/1.38 inference(trivial_inequality_removal,[],[f1351])). 1.10/1.38 tff(f1353,plain,( 1.10/1.38 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X1,length1(int,t2tb1(sK1))) | $less(X1,0) | ~no_zero1(sK1) | ~zero_at1(sK0,$sum(sK2,X1))) )), 1.10/1.38 inference(duplicate_literal_removal,[],[f1344])). 1.10/1.38 tff(f1354,plain,( 1.10/1.38 ( ! [X1:$int] : (~$less(X1,length1(int,t2tb1(sK1))) | $less(X1,0) | ~no_zero1(sK1) | ~zero_at1(sK0,$sum(sK2,X1))) )), 1.10/1.38 inference(trivial_inequality_removal,[],[f1353])). 1.10/1.38 tff(f1355,plain,( 1.10/1.38 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,X0),t2tb1(sK1))) | zero_at1(sK1,X0) | $less(X0,0) | ~zero_at1(sK0,$sum(sK2,X0))) )), 1.10/1.38 inference(trivial_inequality_removal,[],[f1343])). 1.10/1.38 tff(f1356,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK1)),0) | ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK1)))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(subsumption_resolution,[],[f1341,f1318])). 1.10/1.38 tff(f1357,plain,( 1.10/1.38 ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK1)))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(subsumption_resolution,[],[f1356,f197])). 1.10/1.38 tff(f1358,plain,( 1.10/1.38 ~zero_at1(sK0,length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_52 | ~spl8_159)), 1.10/1.38 inference(forward_demodulation,[],[f1357,f281])). 1.10/1.38 tff(f1359,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK1)),0) | ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK1)))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(subsumption_resolution,[],[f1342,f1318])). 1.10/1.38 tff(f1360,plain,( 1.10/1.38 ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK1)))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(subsumption_resolution,[],[f1359,f197])). 1.10/1.38 tff(f1361,plain,( 1.10/1.38 ~zero_at1(sK0,length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_52 | ~spl8_159)), 1.10/1.38 inference(forward_demodulation,[],[f1360,f281])). 1.10/1.38 tff(f1363,plain,( 1.10/1.38 spl8_169 <=> ~no_zero1(sK1)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_169])])). 1.10/1.38 tff(f1364,plain,( 1.10/1.38 ~no_zero1(sK1) | ~spl8_169), 1.10/1.38 inference(avatar_component_clause,[],[f1363])). 1.10/1.38 tff(f1366,plain,( 1.10/1.38 spl8_170 <=> ! [X1 : $int] : (~$less(X1,length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(sK2,X1)) | $less(X1,0))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_170])])). 1.10/1.38 tff(f1367,plain,( 1.10/1.38 ( ! [X1:$int] : (~$less(X1,length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(sK2,X1)) | $less(X1,0)) ) | ~spl8_170), 1.10/1.38 inference(avatar_component_clause,[],[f1366])). 1.10/1.38 tff(f1368,plain,( 1.10/1.38 ~spl8_169 | spl8_170), 1.10/1.38 inference(avatar_split_clause,[],[f1354,f1366,f1363])). 1.10/1.38 tff(f1369,plain,( 1.10/1.38 ( ! [X7:$int] : (some(int,t2tb2(0)) = nth1(int,X7,t2tb1(sK1)) | $less(X7,0) | ~zero_at1(sK0,$sum(sK2,X7))) )), 1.10/1.38 inference(forward_demodulation,[],[f1348,f179])). 1.10/1.38 tff(f1379,plain,( 1.10/1.38 ( ! [X1:$int] : (~$less(0,X1) | ~$less(X1,0)) )), 1.10/1.38 inference(superposition,[],[f380,f191])). 1.10/1.38 tff(f1404,plain,( 1.10/1.38 ( ! [X12:list_int] : (no_zero1(X12) | ~$less($sum(sK2,sK6(X12)),0)) ) | ~spl8_24), 1.10/1.38 inference(resolution,[],[f395,f473])). 1.10/1.38 tff(f1421,plain,( 1.10/1.38 ( ! [X5:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(superposition,[],[f989,f195])). 1.10/1.38 tff(f1422,plain,( 1.10/1.38 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(trivial_inequality_removal,[],[f1421])). 1.10/1.38 tff(f1426,plain,( 1.10/1.38 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | $less(sK6(sK1),0)) ) | (~spl8_24 | ~spl8_169)), 1.10/1.38 inference(subsumption_resolution,[],[f1422,f1364])). 1.10/1.38 tff(f1428,plain,( 1.10/1.38 spl8_172 <=> $less(sK6(sK1),0)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_172])])). 1.10/1.38 tff(f1431,plain,( 1.10/1.38 spl8_174 <=> ! [X5 : $int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_174])])). 1.10/1.38 tff(f1432,plain,( 1.10/1.38 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5)) ) | ~spl8_174), 1.10/1.38 inference(avatar_component_clause,[],[f1431])). 1.10/1.38 tff(f1433,plain,( 1.10/1.38 spl8_172 | spl8_174 | ~spl8_24 | spl8_169), 1.10/1.38 inference(avatar_split_clause,[],[f1426,f1363,f297,f1431,f1428])). 1.10/1.38 tff(f1437,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK1),0) | ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(superposition,[],[f1081,f195])). 1.10/1.38 tff(f1438,plain,( 1.10/1.38 $less(sK6(sK1),0) | ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(trivial_inequality_removal,[],[f1437])). 1.10/1.38 tff(f1445,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(sK1)),sK2) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f444,f195])). 1.10/1.38 tff(f1446,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1445])). 1.10/1.38 tff(f1451,plain,( 1.10/1.38 $less(2,0) | ~zero_at1(sK0,2) | ~spl8_60), 1.10/1.38 inference(resolution,[],[f563,f690])). 1.10/1.38 tff(f1455,plain,( 1.10/1.38 ~$less(sK2,$sum(2,1)) | ~spl8_60), 1.10/1.38 inference(resolution,[],[f563,f72])). 1.10/1.38 tff(f1456,plain,( 1.10/1.38 ~$less(sK2,3) | ~spl8_60), 1.10/1.38 inference(evaluation,[],[f1455])). 1.10/1.38 tff(f1457,plain,( 1.10/1.38 ~zero_at1(sK0,2) | ~spl8_60), 1.10/1.38 inference(evaluation,[],[f1451])). 1.10/1.38 tff(f1458,plain,( 1.10/1.38 ~spl8_67 | ~spl8_60), 1.10/1.38 inference(avatar_split_clause,[],[f1457,f562,f640])). 1.10/1.38 tff(f1460,plain,( 1.10/1.38 spl8_177 <=> ~$less(sK2,3)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_177])])). 1.10/1.38 tff(f1461,plain,( 1.10/1.38 ~$less(sK2,3) | ~spl8_177), 1.10/1.38 inference(avatar_component_clause,[],[f1460])). 1.10/1.38 tff(f1462,plain,( 1.10/1.38 ~spl8_177 | ~spl8_60), 1.10/1.38 inference(avatar_split_clause,[],[f1456,f562,f1460])). 1.10/1.38 tff(f1465,plain,( 1.10/1.38 ( ! [X4:uni,X5:$int,X3:ty] : (~$less(length1(X3,X4),X5) | length1(X3,X4) = 0 | $less(0,X5)) )), 1.10/1.38 inference(resolution,[],[f381,f61])). 1.10/1.38 tff(f1466,plain,( 1.10/1.38 ( ! [X6:ty,X8:$int,X7:uni] : (length1(X6,X7) = 0 | $less($sum(0,X8),$sum(length1(X6,X7),X8))) )), 1.10/1.38 inference(resolution,[],[f381,f63])). 1.10/1.38 tff(f1474,plain,( 1.10/1.38 ( ! [X6:ty,X8:$int,X7:uni] : ($less(X8,$sum(length1(X6,X7),X8)) | length1(X6,X7) = 0) )), 1.10/1.38 inference(evaluation,[],[f1466])). 1.10/1.38 tff(f1483,plain,( 1.10/1.38 no_zero1(tb2t1(t2tb1(sK0))) | ~$less(sK2,sK6(tb2t1(t2tb1(sK0)))) | ~spl8_3), 1.10/1.38 inference(resolution,[],[f534,f1055])). 1.10/1.38 tff(f1491,plain,( 1.10/1.38 $less(sK6(tb2t1(nil(int))),0) | no_zero1(tb2t1(nil(int)))), 1.10/1.38 inference(superposition,[],[f534,f191])). 1.10/1.38 tff(f1495,plain,( 1.10/1.38 no_zero1(sK0) | ~$less(sK2,sK6(tb2t1(t2tb1(sK0)))) | ~spl8_3), 1.10/1.38 inference(forward_demodulation,[],[f1483,f177])). 1.10/1.38 tff(f1504,plain,( 1.10/1.38 no_zero1(tb2t1(nil(int)))), 1.10/1.38 inference(subsumption_resolution,[],[f1491,f193])). 1.10/1.38 tff(f1506,plain,( 1.10/1.38 spl8_178 <=> no_zero1(tb2t1(nil(int)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_178])])). 1.10/1.38 tff(f1508,plain,( 1.10/1.38 spl8_178), 1.10/1.38 inference(avatar_split_clause,[],[f1504,f1506])). 1.10/1.38 tff(f1512,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f700,f195])). 1.10/1.38 tff(f1513,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1512])). 1.10/1.38 tff(f1519,plain,( 1.10/1.38 ( ! [X4:list_int] : (no_zero1(X4) | $less($sum(1,sK6(X4)),$sum(length1(int,t2tb1(X4)),1))) )), 1.10/1.38 inference(resolution,[],[f535,f64])). 1.10/1.38 tff(f1521,plain,( 1.10/1.38 ( ! [X4:list_int] : ($less($sum(1,sK6(X4)),$sum(1,length1(int,t2tb1(X4)))) | no_zero1(X4)) )), 1.10/1.38 inference(forward_demodulation,[],[f1519,f55])). 1.10/1.38 tff(f1523,plain,( 1.10/1.38 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,$sum(sK2,X1)),$sum(sK2,X1)) | zero_at1(sK0,$sum(sK2,X1)) | $less(X1,0) | ~zero_at1(sK1,X1)) )), 1.10/1.38 inference(superposition,[],[f707,f215])). 1.10/1.38 tff(f1525,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f707,f195])). 1.10/1.38 tff(f1526,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1525])). 1.10/1.38 tff(f1527,plain,( 1.10/1.38 ( ! [X1:$int] : ($less(sK7(sK0,$sum(sK2,X1)),$sum(sK2,X1)) | zero_at1(sK0,$sum(sK2,X1)) | $less(X1,0) | ~zero_at1(sK1,X1)) )), 1.10/1.38 inference(trivial_inequality_removal,[],[f1523])). 1.10/1.38 tff(f1529,plain,( 1.10/1.38 ( ! [X0:$int] : (~$less(X0,sK6(sK0)) | no_zero1(sK0) | ~$less(sK2,X0)) ) | ~spl8_3), 1.10/1.38 inference(resolution,[],[f530,f1055])). 1.10/1.38 tff(f1536,plain,( 1.10/1.38 ~$less(sK2,sK6(sK0)) | no_zero1(sK0) | ~spl8_3), 1.10/1.38 inference(resolution,[],[f530,f246])). 1.10/1.38 tff(f1541,plain,( 1.10/1.38 no_zero1(sK0) | $less(sK6(sK0),sK2) | ~spl8_128), 1.10/1.38 inference(resolution,[],[f531,f1062])). 1.10/1.38 tff(f1542,plain,( 1.10/1.38 no_zero1(sK0) | $less(sK6(sK0),$sum(1,sK2)) | ~spl8_130), 1.10/1.38 inference(resolution,[],[f531,f1069])). 1.10/1.38 tff(f1543,plain,( 1.10/1.38 ( ! [X0:$int] : (no_zero1(sK0) | $less(sK6(sK0),$sum(X0,length1(int,t2tb1(sK1)))) | ~$less(sK2,X0)) ) | ~spl8_18), 1.10/1.38 inference(resolution,[],[f531,f331])). 1.10/1.38 tff(f1554,plain,( 1.10/1.38 $less(3,sK2) | sK2 = 3 | ~spl8_177), 1.10/1.38 inference(resolution,[],[f1461,f62])). 1.10/1.38 tff(f1555,plain,( 1.10/1.38 $less(3,sK2) | sK2 = 3 | ~spl8_177), 1.10/1.38 inference(resolution,[],[f1461,f62])). 1.10/1.38 tff(f1556,plain,( 1.10/1.38 $less(3,$sum(sK2,1)) | ~spl8_177), 1.10/1.38 inference(resolution,[],[f1461,f64])). 1.10/1.38 tff(f1557,plain,( 1.10/1.38 $less($sum(3,-1),sK2) | ~spl8_177), 1.10/1.38 inference(evaluation,[],[f1556])). 1.10/1.38 tff(f1558,plain,( 1.10/1.38 $less(2,sK2) | ~spl8_177), 1.10/1.38 inference(evaluation,[],[f1557])). 1.10/1.38 tff(f1560,plain,( 1.10/1.38 spl8_180 <=> sK2 = 3), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_180])])). 1.10/1.38 tff(f1563,plain,( 1.10/1.38 spl8_182 <=> $less(3,sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_182])])). 1.10/1.38 tff(f1564,plain,( 1.10/1.38 $less(3,sK2) | ~spl8_182), 1.10/1.38 inference(avatar_component_clause,[],[f1563])). 1.10/1.38 tff(f1565,plain,( 1.10/1.38 spl8_180 | spl8_182 | spl8_177), 1.10/1.38 inference(avatar_split_clause,[],[f1554,f1460,f1563,f1560])). 1.10/1.38 tff(f1566,plain,( 1.10/1.38 spl8_180 | spl8_182 | spl8_177), 1.10/1.38 inference(avatar_split_clause,[],[f1555,f1460,f1563,f1560])). 1.10/1.38 tff(f1583,plain,( 1.10/1.38 ( ! [X25:list_int] : ($less(0,0) | ~zero_at1(X25,sK2) | ~zero_at1(X25,0)) ) | ~spl8_24), 1.10/1.38 inference(resolution,[],[f717,f298])). 1.10/1.38 tff(f1588,plain,( 1.10/1.38 ( ! [X37:list_int,X36:$int] : (~zero_at1(X37,$sum(X36,length1(int,t2tb1(sK1)))) | ~zero_at1(X37,length1(int,t2tb1(sK0))) | $less($sum(X36,length1(int,t2tb1(sK1))),0) | ~$less(X36,sK2)) ) | ~spl8_18), 1.10/1.38 inference(resolution,[],[f717,f330])). 1.10/1.38 tff(f1601,plain,( 1.10/1.38 ( ! [X25:list_int] : (~zero_at1(X25,sK2) | ~zero_at1(X25,0)) ) | ~spl8_24), 1.10/1.38 inference(evaluation,[],[f1583])). 1.10/1.38 tff(f1620,plain,( 1.10/1.38 ( ! [X2:list_int,X3:$int] : ($less($sum(sK6(X2),X3),$sum(X3,length1(int,t2tb1(X2)))) | no_zero1(X2)) )), 1.10/1.38 inference(superposition,[],[f532,f55])). 1.10/1.38 tff(f1632,plain,( 1.10/1.38 $less(3,0) | ~zero_at1(sK0,3) | ~spl8_182), 1.10/1.38 inference(resolution,[],[f1564,f690])). 1.10/1.38 tff(f1637,plain,( 1.10/1.38 ~$less(sK2,$sum(3,1)) | ~spl8_182), 1.10/1.38 inference(resolution,[],[f1564,f72])). 1.10/1.38 tff(f1638,plain,( 1.10/1.38 ~$less(sK2,4) | ~spl8_182), 1.10/1.38 inference(evaluation,[],[f1637])). 1.10/1.38 tff(f1640,plain,( 1.10/1.38 ~zero_at1(sK0,3) | ~spl8_182), 1.10/1.38 inference(evaluation,[],[f1632])). 1.10/1.38 tff(f1642,plain,( 1.10/1.38 spl8_185 <=> ~zero_at1(sK0,3)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_185])])). 1.10/1.38 tff(f1644,plain,( 1.10/1.38 ~spl8_185 | ~spl8_182), 1.10/1.38 inference(avatar_split_clause,[],[f1640,f1563,f1642])). 1.10/1.38 tff(f1646,plain,( 1.10/1.38 spl8_187 <=> ~$less(sK2,4)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_187])])). 1.10/1.38 tff(f1647,plain,( 1.10/1.38 ~$less(sK2,4) | ~spl8_187), 1.10/1.38 inference(avatar_component_clause,[],[f1646])). 1.10/1.38 tff(f1648,plain,( 1.10/1.38 ~spl8_187 | ~spl8_182), 1.10/1.38 inference(avatar_split_clause,[],[f1638,f1563,f1646])). 1.10/1.38 tff(f1695,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(sK0),sK2) | $less(sK6(sK0),0) | no_zero1(sK0)), 1.10/1.38 inference(superposition,[],[f162,f673])). 1.10/1.38 tff(f1696,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f707,f673])). 1.10/1.38 tff(f1697,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f700,f673])). 1.10/1.38 tff(f1698,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(sK1)),sK2) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f444,f673])). 1.10/1.38 tff(f1699,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(sK1),0) | ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(superposition,[],[f1081,f673])). 1.10/1.38 tff(f1700,plain,( 1.10/1.38 ( ! [X8:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(sK1)),X8) | ~zero_at1(sK0,X8) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(superposition,[],[f989,f673])). 1.10/1.38 tff(f1702,plain,( 1.10/1.38 ( ! [X8:$int] : (~$less($sum(sK2,sK6(sK1)),X8) | ~zero_at1(sK0,X8) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(trivial_inequality_removal,[],[f1700])). 1.10/1.38 tff(f1703,plain,( 1.10/1.38 $less(sK6(sK1),0) | ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(trivial_inequality_removal,[],[f1699])). 1.10/1.38 tff(f1704,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1698])). 1.10/1.38 tff(f1705,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1697])). 1.10/1.38 tff(f1706,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1696])). 1.10/1.38 tff(f1707,plain,( 1.10/1.38 ~$less(sK6(sK0),sK2) | $less(sK6(sK0),0) | no_zero1(sK0)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1695])). 1.10/1.38 tff(f1724,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~zero_at1(sK1,length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f491,f694])). 1.10/1.38 tff(f1753,plain,( 1.10/1.38 ( ! [X2:ty,X3:uni] : (nth1(X2,0,X3) = hd(X2,X3) | nil(X2) = X3 | nil(X2) = X3) )), 1.10/1.38 inference(superposition,[],[f655,f651])). 1.10/1.38 tff(f1760,plain,( 1.10/1.38 ( ! [X2:ty,X3:uni] : (nth1(X2,0,X3) = hd(X2,X3) | nil(X2) = X3) )), 1.10/1.38 inference(duplicate_literal_removal,[],[f1753])). 1.10/1.38 tff(f1763,plain,( 1.10/1.38 $less(4,sK2) | sK2 = 4 | ~spl8_187), 1.10/1.38 inference(resolution,[],[f1647,f62])). 1.10/1.38 tff(f1764,plain,( 1.10/1.38 $less(4,sK2) | sK2 = 4 | ~spl8_187), 1.10/1.38 inference(resolution,[],[f1647,f62])). 1.10/1.38 tff(f1765,plain,( 1.10/1.38 $less(4,$sum(sK2,1)) | ~spl8_187), 1.10/1.38 inference(resolution,[],[f1647,f64])). 1.10/1.38 tff(f1766,plain,( 1.10/1.38 $less($sum(4,-1),sK2) | ~spl8_187), 1.10/1.38 inference(evaluation,[],[f1765])). 1.10/1.38 tff(f1767,plain,( 1.10/1.38 $less(3,sK2) | ~spl8_187), 1.10/1.38 inference(evaluation,[],[f1766])). 1.10/1.38 tff(f1769,plain,( 1.10/1.38 spl8_188 <=> sK2 = 4), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_188])])). 1.10/1.38 tff(f1770,plain,( 1.10/1.38 sK2 = 4 | ~spl8_188), 1.10/1.38 inference(avatar_component_clause,[],[f1769])). 1.10/1.38 tff(f1772,plain,( 1.10/1.38 spl8_190 <=> $less(4,sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_190])])). 1.10/1.38 tff(f1773,plain,( 1.10/1.38 $less(4,sK2) | ~spl8_190), 1.10/1.38 inference(avatar_component_clause,[],[f1772])). 1.10/1.38 tff(f1774,plain,( 1.10/1.38 spl8_188 | spl8_190 | spl8_187), 1.10/1.38 inference(avatar_split_clause,[],[f1763,f1646,f1772,f1769])). 1.10/1.38 tff(f1775,plain,( 1.10/1.38 spl8_188 | spl8_190 | spl8_187), 1.10/1.38 inference(avatar_split_clause,[],[f1764,f1646,f1772,f1769])). 1.10/1.38 tff(f1796,plain,( 1.10/1.38 ( ! [X11:list_int] : ($less(0,0) | ~no_zero1(X11) | ~zero_at1(X11,0) | length1(int,t2tb1(X11)) = 0) )), 1.10/1.38 inference(resolution,[],[f728,f381])). 1.10/1.38 tff(f1797,plain,( 1.10/1.38 ( ! [X12:$int] : ($less($sum(X12,length1(int,t2tb1(sK1))),0) | ~no_zero1(sK0) | ~zero_at1(sK0,$sum(X12,length1(int,t2tb1(sK1)))) | ~$less(X12,sK2)) ) | ~spl8_18), 1.10/1.38 inference(resolution,[],[f728,f330])). 1.10/1.38 tff(f1802,plain,( 1.10/1.38 ( ! [X11:list_int] : (length1(int,t2tb1(X11)) = 0 | ~zero_at1(X11,0) | ~no_zero1(X11)) )), 1.10/1.38 inference(evaluation,[],[f1796])). 1.10/1.38 tff(f1808,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f754,f673])). 1.10/1.38 tff(f1813,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f754,f195])). 1.10/1.38 tff(f1814,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1813])). 1.10/1.38 tff(f1818,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f1808])). 1.10/1.38 tff(f1829,plain,( 1.10/1.38 ( ! [X2:$int,X3:$int] : ($less(X2,$sum(1,$product(X3,1))) | $less(1,0) | $less(X3,X2)) )), 1.10/1.38 inference(superposition,[],[f630,f68])). 1.10/1.38 tff(f1840,plain,( 1.10/1.38 ( ! [X2:$int,X3:$int] : ($less(X2,$sum(1,X3)) | $less(X3,X2)) )), 1.10/1.38 inference(evaluation,[],[f1829])). 1.10/1.38 tff(f1845,plain,( 1.10/1.38 ~zero_at1(sK0,4) | (~spl8_1 | ~spl8_188)), 1.10/1.38 inference(superposition,[],[f243,f1770])). 1.10/1.38 tff(f1846,plain,( 1.10/1.38 ~$less(4,length1(int,t2tb1(sK0))) | (~spl8_3 | ~spl8_188)), 1.10/1.38 inference(superposition,[],[f246,f1770])). 1.10/1.38 tff(f1848,plain,( 1.10/1.38 length1(int,t2tb1(sK0)) = $sum(4,length1(int,t2tb1(sK1))) | (~spl8_18 | ~spl8_188)), 1.10/1.38 inference(superposition,[],[f281,f1770])). 1.10/1.38 tff(f1858,plain,( 1.10/1.38 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,4,t2tb1(sK0))) | (~spl8_46 | ~spl8_188)), 1.10/1.38 inference(superposition,[],[f480,f1770])). 1.10/1.38 tff(f1863,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),4) | (~spl8_128 | ~spl8_188)), 1.10/1.38 inference(superposition,[],[f1062,f1770])). 1.10/1.38 tff(f1864,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),$sum(1,4)) | (~spl8_130 | ~spl8_188)), 1.10/1.38 inference(superposition,[],[f1069,f1770])). 1.10/1.38 tff(f1870,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),5) | (~spl8_130 | ~spl8_188)), 1.10/1.38 inference(evaluation,[],[f1864])). 1.10/1.38 tff(f1872,plain,( 1.10/1.38 spl8_193 <=> ~zero_at1(sK0,4)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_193])])). 1.10/1.38 tff(f1874,plain,( 1.10/1.38 ~spl8_193 | spl8_1 | ~spl8_188), 1.10/1.38 inference(avatar_split_clause,[],[f1845,f1769,f242,f1872])). 1.10/1.38 tff(f1876,plain,( 1.10/1.38 spl8_195 <=> ~$less(4,length1(int,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_195])])). 1.10/1.38 tff(f1878,plain,( 1.10/1.38 ~spl8_195 | spl8_3 | ~spl8_188), 1.10/1.38 inference(avatar_split_clause,[],[f1846,f1769,f245,f1876])). 1.10/1.38 tff(f1880,plain,( 1.10/1.38 spl8_196 <=> length1(int,t2tb1(sK0)) = $sum(4,length1(int,t2tb1(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_196])])). 1.10/1.38 tff(f1882,plain,( 1.10/1.38 spl8_196 | ~spl8_18 | ~spl8_188), 1.10/1.38 inference(avatar_split_clause,[],[f1848,f1769,f280,f1880])). 1.10/1.38 tff(f1883,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,4,t2tb1(sK0))) | (~spl8_46 | ~spl8_94 | ~spl8_188)), 1.10/1.38 inference(forward_demodulation,[],[f1858,f844])). 1.10/1.38 tff(f1885,plain,( 1.10/1.38 spl8_198 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,4,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_198])])). 1.10/1.38 tff(f1887,plain,( 1.10/1.38 spl8_198 | ~spl8_46 | ~spl8_94 | ~spl8_188), 1.10/1.38 inference(avatar_split_clause,[],[f1883,f1769,f843,f479,f1885])). 1.10/1.38 tff(f1889,plain,( 1.10/1.38 spl8_200 <=> $less(length1(int,t2tb1(sK0)),4)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_200])])). 1.10/1.38 tff(f1891,plain,( 1.10/1.38 spl8_200 | ~spl8_128 | ~spl8_188), 1.10/1.38 inference(avatar_split_clause,[],[f1863,f1769,f1061,f1889])). 1.10/1.38 tff(f1893,plain,( 1.10/1.38 spl8_202 <=> $less(length1(int,t2tb1(sK0)),5)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_202])])). 1.10/1.38 tff(f1895,plain,( 1.10/1.38 spl8_202 | ~spl8_130 | ~spl8_188), 1.10/1.38 inference(avatar_split_clause,[],[f1870,f1769,f1068,f1893])). 1.10/1.38 tff(f1905,plain,( 1.10/1.38 ( ! [X4:$int] : (tb2t(none(int)) = tb2t(some(int,t2tb2(0))) | ~zero_at1(tb2t1(nil(int)),X4)) )), 1.10/1.38 inference(superposition,[],[f685,f209])). 1.10/1.38 tff(f1908,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f685,f491])). 1.10/1.38 tff(f1922,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f491,f685])). 1.10/1.38 tff(f1944,plain,( 1.10/1.38 spl8_204 <=> ! [X4 : $int] : ~zero_at1(tb2t1(nil(int)),X4)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_204])])). 1.10/1.38 tff(f1945,plain,( 1.10/1.38 ( ! [X4:$int] : (~zero_at1(tb2t1(nil(int)),X4)) ) | ~spl8_204), 1.10/1.38 inference(avatar_component_clause,[],[f1944])). 1.10/1.38 tff(f1947,plain,( 1.10/1.38 spl8_206 <=> tb2t(none(int)) = tb2t(some(int,t2tb2(0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_206])])). 1.10/1.38 tff(f1949,plain,( 1.10/1.38 spl8_204 | spl8_206), 1.10/1.38 inference(avatar_split_clause,[],[f1905,f1947,f1944])). 1.10/1.38 tff(f1950,plain,( 1.10/1.38 ~zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(subsumption_resolution,[],[f1908,f1318])). 1.10/1.38 tff(f1951,plain,( 1.10/1.38 ~zero_at1(sK1,length1(int,t2tb1(sK1))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(forward_demodulation,[],[f1950,f177])). 1.10/1.38 tff(f1963,plain,( 1.10/1.38 ~zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(subsumption_resolution,[],[f1922,f1318])). 1.10/1.38 tff(f1964,plain,( 1.10/1.38 ~zero_at1(sK1,length1(int,t2tb1(sK1))) | (~spl8_52 | ~spl8_159)), 1.10/1.38 inference(forward_demodulation,[],[f1963,f177])). 1.10/1.38 tff(f1990,plain,( 1.10/1.38 $less(4,0) | ~zero_at1(sK0,4) | ~spl8_190), 1.10/1.38 inference(resolution,[],[f1773,f690])). 1.10/1.38 tff(f1995,plain,( 1.10/1.38 ~$less(sK2,$sum(4,1)) | ~spl8_190), 1.10/1.38 inference(resolution,[],[f1773,f72])). 1.10/1.38 tff(f1996,plain,( 1.10/1.38 ~$less(sK2,5) | ~spl8_190), 1.10/1.38 inference(evaluation,[],[f1995])). 1.10/1.38 tff(f1998,plain,( 1.10/1.38 ~zero_at1(sK0,4) | ~spl8_190), 1.10/1.38 inference(evaluation,[],[f1990])). 1.10/1.38 tff(f1999,plain,( 1.10/1.38 ~spl8_193 | ~spl8_190), 1.10/1.38 inference(avatar_split_clause,[],[f1998,f1772,f1872])). 1.10/1.38 tff(f2001,plain,( 1.10/1.38 spl8_209 <=> ~$less(sK2,5)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_209])])). 1.10/1.38 tff(f2002,plain,( 1.10/1.38 ~$less(sK2,5) | ~spl8_209), 1.10/1.38 inference(avatar_component_clause,[],[f2001])). 1.10/1.38 tff(f2003,plain,( 1.10/1.38 ~spl8_209 | ~spl8_190), 1.10/1.38 inference(avatar_split_clause,[],[f1996,f1772,f2001])). 1.10/1.38 tff(f2014,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK6(tb2t1(t2tb1(sK0))),sK2) | $less(sK6(tb2t1(t2tb1(sK0))),0) | no_zero1(tb2t1(t2tb1(sK0)))), 1.10/1.38 inference(superposition,[],[f162,f660])). 1.10/1.38 tff(f2015,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),sK2) | $less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),0) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(superposition,[],[f444,f660])). 1.10/1.38 tff(f2016,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),0) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(superposition,[],[f700,f660])). 1.10/1.38 tff(f2017,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(superposition,[],[f707,f660])). 1.10/1.38 tff(f2018,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(superposition,[],[f754,f660])). 1.10/1.38 tff(f2019,plain,( 1.10/1.38 ( ! [X7:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X7) | ~zero_at1(sK0,X7) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.10/1.38 inference(superposition,[],[f989,f660])). 1.10/1.38 tff(f2020,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),length1(int,t2tb1(sK0))) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_134), 1.10/1.38 inference(superposition,[],[f1081,f660])). 1.10/1.38 tff(f2022,plain,( 1.10/1.38 $less(sK6(tb2t1(t2tb1(sK1))),0) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),length1(int,t2tb1(sK0))) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_134), 1.10/1.38 inference(trivial_inequality_removal,[],[f2020])). 1.10/1.38 tff(f2023,plain,( 1.10/1.38 ( ! [X7:$int] : (~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X7) | ~zero_at1(sK0,X7) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.10/1.38 inference(trivial_inequality_removal,[],[f2019])). 1.10/1.38 tff(f2024,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(trivial_inequality_removal,[],[f2018])). 1.10/1.38 tff(f2025,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(trivial_inequality_removal,[],[f2017])). 1.10/1.38 tff(f2026,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),0) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(trivial_inequality_removal,[],[f2016])). 1.10/1.38 tff(f2027,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),sK2) | $less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),0) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(trivial_inequality_removal,[],[f2015])). 1.10/1.38 tff(f2028,plain,( 1.10/1.38 ~$less(sK6(tb2t1(t2tb1(sK0))),sK2) | $less(sK6(tb2t1(t2tb1(sK0))),0) | no_zero1(tb2t1(t2tb1(sK0)))), 1.10/1.38 inference(trivial_inequality_removal,[],[f2014])). 1.10/1.38 tff(f2057,plain,( 1.10/1.38 ~$less(sK6(tb2t1(t2tb1(sK0))),sK2) | no_zero1(tb2t1(t2tb1(sK0)))), 1.10/1.38 inference(subsumption_resolution,[],[f2028,f193])). 1.10/1.38 tff(f2058,plain,( 1.10/1.38 ~$less(sK6(sK0),sK2) | no_zero1(tb2t1(t2tb1(sK0)))), 1.10/1.38 inference(forward_demodulation,[],[f2057,f177])). 1.10/1.38 tff(f2059,plain,( 1.10/1.38 no_zero1(sK0) | ~$less(sK6(sK0),sK2)), 1.10/1.38 inference(forward_demodulation,[],[f2058,f177])). 1.10/1.38 tff(f2060,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),sK2) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f2027,f784])). 1.10/1.38 tff(f2061,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),sK2) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f2060,f193])). 1.10/1.38 tff(f2062,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_24), 1.10/1.38 inference(forward_demodulation,[],[f2061,f177])). 1.10/1.38 tff(f2063,plain,( 1.10/1.38 no_zero1(sK1) | ~$less($sum(sK2,sK6(sK1)),sK2) | ~spl8_24), 1.10/1.38 inference(forward_demodulation,[],[f2062,f177])). 1.10/1.38 tff(f2064,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | (~spl8_24 | ~spl8_169)), 1.10/1.38 inference(subsumption_resolution,[],[f2063,f1364])). 1.10/1.38 tff(f2066,plain,( 1.10/1.38 spl8_211 <=> ~$less($sum(sK2,sK6(sK1)),sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_211])])). 1.10/1.38 tff(f2067,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | ~spl8_211), 1.10/1.38 inference(avatar_component_clause,[],[f2066])). 1.10/1.38 tff(f2068,plain,( 1.10/1.38 ~spl8_211 | ~spl8_24 | spl8_169), 1.10/1.38 inference(avatar_split_clause,[],[f2064,f1363,f297,f2066])). 1.10/1.38 tff(f2069,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),0) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(subsumption_resolution,[],[f2026,f193])). 1.10/1.38 tff(f2070,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(forward_demodulation,[],[f2069,f177])). 1.10/1.38 tff(f2071,plain,( 1.10/1.38 zero_at1(sK0,$sum(sK2,sK6(sK1))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(forward_demodulation,[],[f2070,f177])). 1.10/1.38 tff(f2072,plain,( 1.10/1.38 no_zero1(sK1) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0)), 1.10/1.38 inference(forward_demodulation,[],[f2071,f177])). 1.10/1.38 tff(f2073,plain,( 1.10/1.38 zero_at1(sK0,$sum(sK2,sK6(sK1))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~spl8_169), 1.10/1.38 inference(subsumption_resolution,[],[f2072,f1364])). 1.10/1.38 tff(f2075,plain,( 1.10/1.38 spl8_213 <=> ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_213])])). 1.10/1.38 tff(f2076,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~spl8_213), 1.10/1.38 inference(avatar_component_clause,[],[f2075])). 1.10/1.38 tff(f2078,plain,( 1.10/1.38 spl8_214 <=> zero_at1(sK0,$sum(sK2,sK6(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_214])])). 1.10/1.38 tff(f2079,plain,( 1.10/1.38 zero_at1(sK0,$sum(sK2,sK6(sK1))) | ~spl8_214), 1.10/1.38 inference(avatar_component_clause,[],[f2078])). 1.10/1.38 tff(f2080,plain,( 1.10/1.38 ~spl8_213 | spl8_214 | spl8_169), 1.10/1.38 inference(avatar_split_clause,[],[f2073,f1363,f2078,f2075])). 1.10/1.38 tff(f2081,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(subsumption_resolution,[],[f2025,f193])). 1.10/1.38 tff(f2082,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(forward_demodulation,[],[f2081,f177])). 1.10/1.38 tff(f2083,plain,( 1.10/1.38 zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(forward_demodulation,[],[f2082,f177])). 1.10/1.38 tff(f2084,plain,( 1.10/1.38 no_zero1(sK1) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1)))), 1.10/1.38 inference(forward_demodulation,[],[f2083,f177])). 1.10/1.38 tff(f2085,plain,( 1.10/1.38 zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | ~spl8_169), 1.10/1.38 inference(subsumption_resolution,[],[f2084,f1364])). 1.10/1.38 tff(f2087,plain,( 1.10/1.38 spl8_216 <=> $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_216])])). 1.10/1.38 tff(f2088,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | ~spl8_216), 1.10/1.38 inference(avatar_component_clause,[],[f2087])). 1.10/1.38 tff(f2089,plain,( 1.10/1.38 spl8_216 | spl8_214 | spl8_169), 1.10/1.38 inference(avatar_split_clause,[],[f2085,f1363,f2078,f2087])). 1.10/1.38 tff(f2090,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(subsumption_resolution,[],[f2024,f193])). 1.10/1.38 tff(f2091,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(forward_demodulation,[],[f2090,f177])). 1.10/1.38 tff(f2092,plain,( 1.10/1.38 zero_at1(sK0,$sum(sK2,sK6(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | no_zero1(tb2t1(t2tb1(sK1)))), 1.10/1.38 inference(forward_demodulation,[],[f2091,f177])). 1.10/1.38 tff(f2093,plain,( 1.10/1.38 no_zero1(sK1) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0)))), 1.10/1.38 inference(forward_demodulation,[],[f2092,f177])). 1.10/1.38 tff(f2094,plain,( 1.10/1.38 zero_at1(sK0,$sum(sK2,sK6(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | ~spl8_169), 1.10/1.38 inference(subsumption_resolution,[],[f2093,f1364])). 1.10/1.38 tff(f2096,plain,( 1.10/1.38 spl8_218 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_218])])). 1.10/1.38 tff(f2097,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | ~spl8_218), 1.10/1.38 inference(avatar_component_clause,[],[f2096])). 1.10/1.38 tff(f2098,plain,( 1.10/1.38 spl8_218 | spl8_214 | spl8_169), 1.10/1.38 inference(avatar_split_clause,[],[f2094,f1363,f2078,f2096])). 1.10/1.38 tff(f2099,plain,( 1.10/1.38 ( ! [X7:$int] : (~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X7) | ~zero_at1(sK0,X7) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f2023,f193])). 1.10/1.38 tff(f2100,plain,( 1.10/1.38 ( ! [X7:$int] : (~$less($sum(sK2,sK6(sK1)),X7) | ~zero_at1(sK0,X7) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.10/1.38 inference(forward_demodulation,[],[f2099,f177])). 1.10/1.38 tff(f2101,plain,( 1.10/1.38 ( ! [X7:$int] : (no_zero1(sK1) | ~$less($sum(sK2,sK6(sK1)),X7) | ~zero_at1(sK0,X7)) ) | ~spl8_24), 1.10/1.38 inference(forward_demodulation,[],[f2100,f177])). 1.10/1.38 tff(f2103,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),length1(int,t2tb1(sK0))) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_134), 1.10/1.38 inference(subsumption_resolution,[],[f2022,f193])). 1.10/1.38 tff(f2104,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_134), 1.10/1.38 inference(forward_demodulation,[],[f2103,f177])). 1.10/1.38 tff(f2105,plain,( 1.10/1.38 no_zero1(sK1) | ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | ~spl8_134), 1.10/1.38 inference(forward_demodulation,[],[f2104,f177])). 1.10/1.38 tff(f2106,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | (~spl8_134 | ~spl8_169)), 1.10/1.38 inference(subsumption_resolution,[],[f2105,f1364])). 1.10/1.38 tff(f2108,plain,( 1.10/1.38 spl8_221 <=> ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_221])])). 1.10/1.38 tff(f2109,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | ~spl8_221), 1.10/1.38 inference(avatar_component_clause,[],[f2108])). 1.10/1.38 tff(f2110,plain,( 1.10/1.38 ~spl8_221 | ~spl8_134 | spl8_169), 1.10/1.38 inference(avatar_split_clause,[],[f2106,f1363,f1080,f2108])). 1.10/1.38 tff(f2113,plain,( 1.10/1.38 spl8_168 <=> no_zero1(sK1)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_168])])). 1.10/1.38 tff(f2114,plain,( 1.10/1.38 no_zero1(sK1) | ~spl8_168), 1.10/1.38 inference(avatar_component_clause,[],[f2113])). 1.10/1.38 tff(f2115,plain,( 1.10/1.38 ~spl8_221 | spl8_168 | ~spl8_134), 1.10/1.38 inference(avatar_split_clause,[],[f2105,f1080,f2113,f2108])). 1.10/1.38 tff(f2116,plain,( 1.10/1.38 spl8_174 | spl8_168 | ~spl8_24), 1.10/1.38 inference(avatar_split_clause,[],[f2101,f297,f2113,f1431])). 1.10/1.38 tff(f2117,plain,( 1.10/1.38 spl8_218 | spl8_214 | spl8_168), 1.10/1.38 inference(avatar_split_clause,[],[f2093,f2113,f2078,f2096])). 1.10/1.38 tff(f2118,plain,( 1.10/1.38 spl8_216 | spl8_214 | spl8_168), 1.10/1.38 inference(avatar_split_clause,[],[f2084,f2113,f2078,f2087])). 1.10/1.38 tff(f2119,plain,( 1.10/1.38 ~spl8_213 | spl8_214 | spl8_168), 1.10/1.38 inference(avatar_split_clause,[],[f2072,f2113,f2078,f2075])). 1.10/1.38 tff(f2120,plain,( 1.10/1.38 ~spl8_211 | spl8_168 | ~spl8_24), 1.10/1.38 inference(avatar_split_clause,[],[f2063,f297,f2113,f2066])). 1.10/1.38 tff(f2121,plain,( 1.10/1.38 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f1422,f193])). 1.10/1.38 tff(f2122,plain,( 1.10/1.38 spl8_168 | spl8_174 | ~spl8_24), 1.10/1.38 inference(avatar_split_clause,[],[f2121,f297,f1431,f2113])). 1.10/1.38 tff(f2123,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(sK1)), 1.10/1.38 inference(subsumption_resolution,[],[f1814,f193])). 1.10/1.38 tff(f2124,plain,( 1.10/1.38 spl8_168 | spl8_214 | spl8_218), 1.10/1.38 inference(avatar_split_clause,[],[f2123,f2096,f2078,f2113])). 1.10/1.38 tff(f2125,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(sK1)), 1.10/1.38 inference(subsumption_resolution,[],[f1818,f193])). 1.10/1.38 tff(f2126,plain,( 1.10/1.38 spl8_168 | spl8_214 | spl8_218), 1.10/1.38 inference(avatar_split_clause,[],[f2125,f2096,f2078,f2113])). 1.10/1.38 tff(f2127,plain,( 1.10/1.38 ( ! [X8:$int] : (~$less($sum(sK2,sK6(sK1)),X8) | ~zero_at1(sK0,X8) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f1702,f193])). 1.10/1.38 tff(f2128,plain,( 1.10/1.38 spl8_168 | spl8_174 | ~spl8_24), 1.10/1.38 inference(avatar_split_clause,[],[f2127,f297,f1431,f2113])). 1.10/1.38 tff(f2129,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(subsumption_resolution,[],[f1703,f193])). 1.10/1.38 tff(f2130,plain,( 1.10/1.38 spl8_168 | ~spl8_221 | ~spl8_134), 1.10/1.38 inference(avatar_split_clause,[],[f2129,f1080,f2108,f2113])). 1.10/1.38 tff(f2131,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | $less(sK6(sK1),0) | no_zero1(sK1) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f1704,f784])). 1.10/1.38 tff(f2132,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | no_zero1(sK1) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f2131,f193])). 1.10/1.38 tff(f2133,plain,( 1.10/1.38 spl8_168 | ~spl8_211 | ~spl8_24), 1.10/1.38 inference(avatar_split_clause,[],[f2132,f297,f2066,f2113])). 1.10/1.38 tff(f2134,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(sK1)), 1.10/1.38 inference(subsumption_resolution,[],[f1705,f193])). 1.10/1.38 tff(f2135,plain,( 1.10/1.38 spl8_168 | spl8_214 | ~spl8_213), 1.10/1.38 inference(avatar_split_clause,[],[f2134,f2075,f2078,f2113])). 1.10/1.38 tff(f2136,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(sK1)), 1.10/1.38 inference(subsumption_resolution,[],[f1706,f193])). 1.10/1.38 tff(f2137,plain,( 1.10/1.38 spl8_168 | spl8_214 | spl8_216), 1.10/1.38 inference(avatar_split_clause,[],[f2136,f2087,f2078,f2113])). 1.10/1.38 tff(f2138,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(sK1)), 1.10/1.38 inference(subsumption_resolution,[],[f1526,f193])). 1.10/1.38 tff(f2139,plain,( 1.10/1.38 spl8_168 | spl8_214 | spl8_216), 1.10/1.38 inference(avatar_split_clause,[],[f2138,f2087,f2078,f2113])). 1.10/1.38 tff(f2140,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(sK1)), 1.10/1.38 inference(subsumption_resolution,[],[f1513,f193])). 1.10/1.38 tff(f2141,plain,( 1.10/1.38 spl8_168 | spl8_214 | ~spl8_213), 1.10/1.38 inference(avatar_split_clause,[],[f2140,f2075,f2078,f2113])). 1.10/1.38 tff(f2142,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | $less(sK6(sK1),0) | no_zero1(sK1) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f1446,f784])). 1.10/1.38 tff(f2143,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),sK2) | no_zero1(sK1) | ~spl8_24), 1.10/1.38 inference(subsumption_resolution,[],[f2142,f193])). 1.10/1.38 tff(f2144,plain,( 1.10/1.38 spl8_168 | ~spl8_211 | ~spl8_24), 1.10/1.38 inference(avatar_split_clause,[],[f2143,f297,f2066,f2113])). 1.10/1.38 tff(f2145,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(subsumption_resolution,[],[f1438,f193])). 1.10/1.38 tff(f2146,plain,( 1.10/1.38 spl8_168 | ~spl8_221 | ~spl8_134), 1.10/1.38 inference(avatar_split_clause,[],[f2145,f1080,f2108,f2113])). 1.10/1.38 tff(f2243,plain,( 1.10/1.38 ( ! [X4:$int] : (tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(nil(int)),X4),0) | zero_at1(tb2t1(nil(int)),X4)) )), 1.10/1.38 inference(superposition,[],[f699,f209])). 1.10/1.38 tff(f2249,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~$less(sK7(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))),0) | zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f699,f491])). 1.10/1.38 tff(f2268,plain,( 1.10/1.38 ( ! [X4:$int] : (tb2t(none(int)) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(nil(int)),X4),0)) ) | ~spl8_204), 1.10/1.38 inference(subsumption_resolution,[],[f2243,f1945])). 1.10/1.38 tff(f2270,plain,( 1.10/1.38 spl8_222 <=> ! [X4 : $int] : ~$less(sK7(tb2t1(nil(int)),X4),0)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_222])])). 1.10/1.38 tff(f2273,plain,( 1.10/1.38 spl8_207 <=> tb2t(none(int)) != tb2t(some(int,t2tb2(0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_207])])). 1.10/1.38 tff(f2275,plain,( 1.10/1.38 spl8_222 | ~spl8_207 | ~spl8_204), 1.10/1.38 inference(avatar_split_clause,[],[f2268,f1944,f2273,f2270])). 1.10/1.38 tff(f2299,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | $less(sK7(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))),length1(int,t2tb1(sK1))) | zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f706,f491])). 1.10/1.38 tff(f2302,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) | $less(sK7(tb2t1(t2tb1(sK0)),sK2),sK2) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | ~spl8_46), 1.10/1.38 inference(superposition,[],[f706,f480])). 1.10/1.38 tff(f2327,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(t2tb1(sK0)),sK2),sK2) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.38 inference(forward_demodulation,[],[f2302,f844])). 1.10/1.38 tff(f2328,plain,( 1.10/1.38 $less(sK7(tb2t1(t2tb1(sK0)),sK2),sK2) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.38 inference(trivial_inequality_removal,[],[f2327])). 1.10/1.38 tff(f2329,plain,( 1.10/1.38 $less(sK7(sK0,sK2),sK2) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_46 | ~spl8_94)), 1.10/1.38 inference(forward_demodulation,[],[f2328,f177])). 1.10/1.38 tff(f2342,plain,( 1.10/1.38 ( ! [X5:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~$less(length1(int,t2tb1(sK1)),X5) | $less(length1(int,t2tb1(sK1)),0) | ~zero_at1(tb2t1(t2tb1(sK1)),X5)) ) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f713,f491])). 1.10/1.38 tff(f2343,plain,( 1.10/1.38 ( ! [X6:$int,X7:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,t2tb1(sK1))) | ~$less($sum(sK2,X6),X7) | $less($sum(sK2,X6),0) | ~zero_at1(tb2t1(t2tb1(sK0)),X7) | $less(X6,0)) )), 1.10/1.38 inference(superposition,[],[f713,f163])). 1.10/1.38 tff(f2382,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK6(sK0)),sK2) | $less(sK7(sK0,sK6(sK0)),0) | zero_at1(sK0,sK6(sK0)) | no_zero1(sK0)), 1.10/1.38 inference(superposition,[],[f162,f757])). 1.10/1.38 tff(f2383,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),sK2) | $less($sum(sK2,sK7(sK1,sK6(sK1))),0) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f444,f757])). 1.10/1.38 tff(f2384,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f700,f757])). 1.10/1.38 tff(f2385,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f707,f757])). 1.10/1.38 tff(f2386,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(superposition,[],[f754,f757])). 1.10/1.38 tff(f2387,plain,( 1.10/1.38 ( ! [X7:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(superposition,[],[f989,f757])). 1.10/1.38 tff(f2388,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK1,sK6(sK1)),0) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(superposition,[],[f1081,f757])). 1.10/1.38 tff(f2396,plain,( 1.10/1.38 $less(sK7(sK1,sK6(sK1)),0) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_134), 1.10/1.38 inference(trivial_inequality_removal,[],[f2388])). 1.10/1.38 tff(f2397,plain,( 1.10/1.38 ( ! [X7:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_24), 1.10/1.38 inference(trivial_inequality_removal,[],[f2387])). 1.10/1.38 tff(f2398,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f2386])). 1.10/1.38 tff(f2399,plain,( 1.10/1.38 $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f2385])). 1.10/1.38 tff(f2400,plain,( 1.10/1.38 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f2384])). 1.10/1.38 tff(f2401,plain,( 1.10/1.38 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),sK2) | $less($sum(sK2,sK7(sK1,sK6(sK1))),0) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.10/1.38 inference(trivial_inequality_removal,[],[f2383])). 1.10/1.38 tff(f2402,plain,( 1.10/1.38 ~$less(sK7(sK0,sK6(sK0)),sK2) | $less(sK7(sK0,sK6(sK0)),0) | zero_at1(sK0,sK6(sK0)) | no_zero1(sK0)), 1.10/1.38 inference(trivial_inequality_removal,[],[f2382])). 1.10/1.38 tff(f2416,plain,( 1.10/1.38 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0))) | $less($sum(sK2,X0),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | $less(X0,0)) )), 1.10/1.38 inference(superposition,[],[f729,f470])). 1.10/1.38 tff(f2424,plain,( 1.10/1.38 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X2,length1(int,t2tb1(sK1))) | $less(X2,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | $less(X2,0) | ~zero_at1(sK0,$sum(sK2,X2))) )), 1.10/1.38 inference(superposition,[],[f729,f688])). 1.10/1.38 tff(f2426,plain,( 1.10/1.38 ( ! [X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK1))) | ~$less($sum(sK2,X3),length1(int,t2tb1(sK0))) | $less($sum(sK2,X3),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | $less(X3,0)) )), 1.10/1.38 inference(superposition,[],[f729,f163])). 1.10/1.38 tff(f2427,plain,( 1.10/1.38 ( ! [X4:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(sK1))) | ~$less($sum(X4,sK2),length1(int,t2tb1(sK0))) | $less($sum(X4,sK2),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | $less(X4,0)) )), 1.10/1.38 inference(superposition,[],[f729,f443])). 1.10/1.38 tff(f2436,plain,( 1.10/1.38 ( ! [X2:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X2,length1(int,t2tb1(sK1))) | $less(X2,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~zero_at1(sK0,$sum(sK2,X2))) )), 1.10/1.38 inference(duplicate_literal_removal,[],[f2424])). 1.10/1.38 tff(f2437,plain,( 1.10/1.38 ( ! [X2:$int] : (~$less(X2,length1(int,t2tb1(sK1))) | $less(X2,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~zero_at1(sK0,$sum(sK2,X2))) )), 1.10/1.38 inference(trivial_inequality_removal,[],[f2436])). 1.10/1.38 tff(f2469,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))),t2tb1(sK1))) | zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.10/1.38 inference(superposition,[],[f758,f491])). 1.10/1.38 tff(f2506,plain,( 1.10/1.38 $less(5,sK2) | sK2 = 5 | ~spl8_209), 1.10/1.38 inference(resolution,[],[f2002,f62])). 1.10/1.38 tff(f2507,plain,( 1.10/1.38 $less(5,sK2) | sK2 = 5 | ~spl8_209), 1.10/1.38 inference(resolution,[],[f2002,f62])). 1.10/1.38 tff(f2508,plain,( 1.10/1.38 $less(5,$sum(sK2,1)) | ~spl8_209), 1.10/1.38 inference(resolution,[],[f2002,f64])). 1.10/1.38 tff(f2509,plain,( 1.10/1.38 $less($sum(5,-1),sK2) | ~spl8_209), 1.10/1.38 inference(evaluation,[],[f2508])). 1.10/1.38 tff(f2510,plain,( 1.10/1.38 $less(4,sK2) | ~spl8_209), 1.10/1.38 inference(evaluation,[],[f2509])). 1.10/1.38 tff(f2512,plain,( 1.10/1.38 spl8_224 <=> sK2 = 5), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_224])])). 1.10/1.38 tff(f2513,plain,( 1.10/1.38 sK2 = 5 | ~spl8_224), 1.10/1.38 inference(avatar_component_clause,[],[f2512])). 1.10/1.38 tff(f2515,plain,( 1.10/1.38 spl8_226 <=> $less(5,sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_226])])). 1.10/1.38 tff(f2516,plain,( 1.10/1.38 $less(5,sK2) | ~spl8_226), 1.10/1.38 inference(avatar_component_clause,[],[f2515])). 1.10/1.38 tff(f2517,plain,( 1.10/1.38 spl8_224 | spl8_226 | spl8_209), 1.10/1.38 inference(avatar_split_clause,[],[f2506,f2001,f2515,f2512])). 1.10/1.38 tff(f2518,plain,( 1.10/1.38 spl8_224 | spl8_226 | spl8_209), 1.10/1.38 inference(avatar_split_clause,[],[f2507,f2001,f2515,f2512])). 1.10/1.38 tff(f2523,plain,( 1.10/1.38 ~$less(sK6(sK0),$sum(1,1)) | ~spl8_76), 1.10/1.38 inference(resolution,[],[f772,f72])). 1.10/1.38 tff(f2524,plain,( 1.10/1.38 ~$less(sK6(sK0),2) | ~spl8_76), 1.10/1.38 inference(evaluation,[],[f2523])). 1.10/1.38 tff(f2527,plain,( 1.10/1.38 spl8_229 <=> ~$less(sK6(sK0),2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_229])])). 1.10/1.38 tff(f2528,plain,( 1.10/1.38 ~$less(sK6(sK0),2) | ~spl8_229), 1.10/1.38 inference(avatar_component_clause,[],[f2527])). 1.10/1.38 tff(f2529,plain,( 1.10/1.38 ~spl8_229 | ~spl8_76), 1.10/1.38 inference(avatar_split_clause,[],[f2524,f771,f2527])). 1.10/1.38 tff(f2534,plain,( 1.10/1.38 ~$less(sK6(sK0),$sum(0,1)) | ~spl8_78), 1.10/1.38 inference(resolution,[],[f777,f72])). 1.10/1.38 tff(f2535,plain,( 1.10/1.38 ~$less(sK6(sK0),1) | ~spl8_78), 1.10/1.38 inference(evaluation,[],[f2534])). 1.10/1.38 tff(f2538,plain,( 1.10/1.38 ~spl8_71 | ~spl8_78), 1.10/1.38 inference(avatar_split_clause,[],[f2535,f776,f670])). 1.10/1.38 tff(f2549,plain,( 1.10/1.38 $less($uminus(sK2),-1) | $uminus(sK2) = -1 | ~spl8_117), 1.10/1.38 inference(resolution,[],[f985,f62])). 1.10/1.38 tff(f2550,plain,( 1.10/1.38 $less($uminus(sK2),-1) | $uminus(sK2) = -1 | ~spl8_117), 1.10/1.38 inference(resolution,[],[f985,f62])). 1.10/1.38 tff(f2551,plain,( 1.10/1.38 $less($uminus(sK2),$sum(-1,1)) | ~spl8_117), 1.10/1.38 inference(resolution,[],[f985,f64])). 1.10/1.38 tff(f2552,plain,( 1.10/1.38 $less($uminus(sK2),0) | ~spl8_117), 1.10/1.38 inference(evaluation,[],[f2551])). 1.10/1.38 tff(f2558,plain,( 1.10/1.38 ~zero_at1(sK0,5) | (~spl8_1 | ~spl8_224)), 1.10/1.38 inference(superposition,[],[f243,f2513])). 1.10/1.38 tff(f2559,plain,( 1.10/1.38 ~$less(5,length1(int,t2tb1(sK0))) | (~spl8_3 | ~spl8_224)), 1.10/1.38 inference(superposition,[],[f246,f2513])). 1.10/1.38 tff(f2561,plain,( 1.10/1.38 length1(int,t2tb1(sK0)) = $sum(5,length1(int,t2tb1(sK1))) | (~spl8_18 | ~spl8_224)), 1.10/1.38 inference(superposition,[],[f281,f2513])). 1.10/1.38 tff(f2571,plain,( 1.10/1.38 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,5,t2tb1(sK0))) | (~spl8_46 | ~spl8_224)), 1.10/1.38 inference(superposition,[],[f480,f2513])). 1.10/1.38 tff(f2577,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),5) | (~spl8_128 | ~spl8_224)), 1.10/1.38 inference(superposition,[],[f1062,f2513])). 1.10/1.38 tff(f2578,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),$sum(1,5)) | (~spl8_130 | ~spl8_224)), 1.10/1.38 inference(superposition,[],[f1069,f2513])). 1.10/1.38 tff(f2586,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),6) | (~spl8_130 | ~spl8_224)), 1.10/1.38 inference(evaluation,[],[f2578])). 1.10/1.38 tff(f2588,plain,( 1.10/1.38 spl8_231 <=> ~zero_at1(sK0,5)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_231])])). 1.10/1.38 tff(f2589,plain,( 1.10/1.38 ~zero_at1(sK0,5) | ~spl8_231), 1.10/1.38 inference(avatar_component_clause,[],[f2588])). 1.10/1.38 tff(f2590,plain,( 1.10/1.38 ~spl8_231 | spl8_1 | ~spl8_224), 1.10/1.38 inference(avatar_split_clause,[],[f2558,f2512,f242,f2588])). 1.10/1.38 tff(f2592,plain,( 1.10/1.38 spl8_233 <=> ~$less(5,length1(int,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_233])])). 1.10/1.38 tff(f2594,plain,( 1.10/1.38 ~spl8_233 | spl8_3 | ~spl8_224), 1.10/1.38 inference(avatar_split_clause,[],[f2559,f2512,f245,f2592])). 1.10/1.38 tff(f2596,plain,( 1.10/1.38 spl8_234 <=> length1(int,t2tb1(sK0)) = $sum(5,length1(int,t2tb1(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_234])])). 1.10/1.38 tff(f2598,plain,( 1.10/1.38 spl8_234 | ~spl8_18 | ~spl8_224), 1.10/1.38 inference(avatar_split_clause,[],[f2561,f2512,f280,f2596])). 1.10/1.38 tff(f2599,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,5,t2tb1(sK0))) | (~spl8_46 | ~spl8_94 | ~spl8_224)), 1.10/1.38 inference(forward_demodulation,[],[f2571,f844])). 1.10/1.38 tff(f2601,plain,( 1.10/1.38 spl8_236 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,5,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_236])])). 1.10/1.38 tff(f2603,plain,( 1.10/1.38 spl8_236 | ~spl8_46 | ~spl8_94 | ~spl8_224), 1.10/1.38 inference(avatar_split_clause,[],[f2599,f2512,f843,f479,f2601])). 1.10/1.38 tff(f2604,plain,( 1.10/1.38 spl8_202 | ~spl8_128 | ~spl8_224), 1.10/1.38 inference(avatar_split_clause,[],[f2577,f2512,f1061,f1893])). 1.10/1.38 tff(f2606,plain,( 1.10/1.38 spl8_238 <=> $less(length1(int,t2tb1(sK0)),6)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_238])])). 1.10/1.38 tff(f2608,plain,( 1.10/1.38 spl8_238 | ~spl8_130 | ~spl8_224), 1.10/1.38 inference(avatar_split_clause,[],[f2586,f2512,f1068,f2606])). 1.10/1.38 tff(f2610,plain,( 1.10/1.38 spl8_240 <=> $uminus(sK2) = -1), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_240])])). 1.10/1.38 tff(f2613,plain,( 1.10/1.38 spl8_242 <=> $less($uminus(sK2),-1)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_242])])). 1.10/1.38 tff(f2614,plain,( 1.10/1.38 $less($uminus(sK2),-1) | ~spl8_242), 1.10/1.38 inference(avatar_component_clause,[],[f2613])). 1.10/1.38 tff(f2615,plain,( 1.10/1.38 spl8_240 | spl8_242 | spl8_117), 1.10/1.38 inference(avatar_split_clause,[],[f2550,f984,f2613,f2610])). 1.10/1.38 tff(f2616,plain,( 1.10/1.38 spl8_240 | spl8_242 | spl8_117), 1.10/1.38 inference(avatar_split_clause,[],[f2549,f984,f2613,f2610])). 1.10/1.38 tff(f2618,plain,( 1.10/1.38 $less(0,sK7(sK0,sK2)) | 0 = sK7(sK0,sK2) | ~spl8_109), 1.10/1.38 inference(resolution,[],[f968,f62])). 1.10/1.38 tff(f2619,plain,( 1.10/1.38 $less(0,sK7(sK0,sK2)) | 0 = sK7(sK0,sK2) | ~spl8_109), 1.10/1.38 inference(resolution,[],[f968,f62])). 1.10/1.38 tff(f2620,plain,( 1.10/1.38 $less(0,$sum(sK7(sK0,sK2),1)) | ~spl8_109), 1.10/1.38 inference(resolution,[],[f968,f64])). 1.10/1.38 tff(f2621,plain,( 1.10/1.38 $less($uminus(1),sK7(sK0,sK2)) | ~spl8_109), 1.10/1.38 inference(evaluation,[],[f2620])). 1.10/1.38 tff(f2622,plain,( 1.10/1.38 $less(-1,sK7(sK0,sK2)) | ~spl8_109), 1.10/1.38 inference(evaluation,[],[f2621])). 1.10/1.38 tff(f2624,plain,( 1.10/1.38 spl8_244 <=> 0 = sK7(sK0,sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_244])])). 1.10/1.38 tff(f2627,plain,( 1.10/1.38 spl8_246 <=> $less(0,sK7(sK0,sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_246])])). 1.10/1.38 tff(f2629,plain,( 1.10/1.38 spl8_244 | spl8_246 | spl8_109), 1.10/1.38 inference(avatar_split_clause,[],[f2618,f967,f2627,f2624])). 1.10/1.38 tff(f2630,plain,( 1.10/1.38 spl8_244 | spl8_246 | spl8_109), 1.10/1.38 inference(avatar_split_clause,[],[f2619,f967,f2627,f2624])). 1.10/1.38 tff(f2632,plain,( 1.10/1.38 spl8_248 <=> $less(-1,sK7(sK0,sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_248])])). 1.10/1.38 tff(f2634,plain,( 1.10/1.38 spl8_248 | spl8_109), 1.10/1.38 inference(avatar_split_clause,[],[f2622,f967,f2632])). 1.10/1.38 tff(f2635,plain,( 1.10/1.38 $less(sK7(sK0,sK2),0) | ~zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_110), 1.10/1.38 inference(resolution,[],[f972,f690])). 1.10/1.38 tff(f2640,plain,( 1.10/1.38 ~$less(sK2,$sum(sK7(sK0,sK2),1)) | ~spl8_110), 1.10/1.38 inference(resolution,[],[f972,f72])). 1.10/1.38 tff(f2641,plain,( 1.10/1.38 ~zero_at1(sK0,sK7(sK0,sK2)) | (~spl8_109 | ~spl8_110)), 1.10/1.38 inference(subsumption_resolution,[],[f2635,f968])). 1.10/1.38 tff(f2643,plain,( 1.10/1.38 spl8_251 <=> ~zero_at1(sK0,sK7(sK0,sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_251])])). 1.10/1.38 tff(f2644,plain,( 1.10/1.38 ~zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_251), 1.10/1.38 inference(avatar_component_clause,[],[f2643])). 1.10/1.38 tff(f2645,plain,( 1.10/1.38 ~spl8_251 | spl8_109 | ~spl8_110), 1.10/1.38 inference(avatar_split_clause,[],[f2641,f971,f967,f2643])). 1.10/1.38 tff(f2647,plain,( 1.10/1.38 ~$less(sK2,$sum(1,sK7(sK0,sK2))) | ~spl8_110), 1.10/1.38 inference(forward_demodulation,[],[f2640,f55])). 1.10/1.38 tff(f2649,plain,( 1.10/1.38 spl8_253 <=> ~$less(sK2,$sum(1,sK7(sK0,sK2)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_253])])). 1.10/1.38 tff(f2651,plain,( 1.10/1.38 ~spl8_253 | ~spl8_110), 1.10/1.38 inference(avatar_split_clause,[],[f2647,f971,f2649])). 1.10/1.38 tff(f2658,plain,( 1.10/1.38 $less(5,0) | ~zero_at1(sK0,5) | ~spl8_226), 1.10/1.38 inference(resolution,[],[f2516,f690])). 1.10/1.38 tff(f2663,plain,( 1.10/1.38 ~$less(sK2,$sum(5,1)) | ~spl8_226), 1.10/1.38 inference(resolution,[],[f2516,f72])). 1.10/1.38 tff(f2664,plain,( 1.10/1.38 ~$less(sK2,6) | ~spl8_226), 1.10/1.38 inference(evaluation,[],[f2663])). 1.10/1.38 tff(f2666,plain,( 1.10/1.38 ~zero_at1(sK0,5) | ~spl8_226), 1.10/1.38 inference(evaluation,[],[f2658])). 1.10/1.38 tff(f2667,plain,( 1.10/1.38 ~spl8_231 | ~spl8_226), 1.10/1.38 inference(avatar_split_clause,[],[f2666,f2515,f2588])). 1.10/1.38 tff(f2669,plain,( 1.10/1.38 spl8_255 <=> ~$less(sK2,6)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_255])])). 1.10/1.38 tff(f2670,plain,( 1.10/1.38 ~$less(sK2,6) | ~spl8_255), 1.10/1.38 inference(avatar_component_clause,[],[f2669])). 1.10/1.38 tff(f2671,plain,( 1.10/1.38 ~spl8_255 | ~spl8_226), 1.10/1.38 inference(avatar_split_clause,[],[f2664,f2515,f2669])). 1.10/1.38 tff(f2677,plain,( 1.10/1.38 $less(-1,$sum(sK2,sK2)) | (~spl8_24 | ~spl8_26)), 1.10/1.38 inference(resolution,[],[f319,f473])). 1.10/1.38 tff(f2683,plain,( 1.10/1.38 spl8_256 <=> $less(-1,$sum(sK2,sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_256])])). 1.10/1.38 tff(f2685,plain,( 1.10/1.38 spl8_256 | ~spl8_24 | ~spl8_26), 1.10/1.38 inference(avatar_split_clause,[],[f2677,f302,f297,f2683])). 1.10/1.38 tff(f2690,plain,( 1.10/1.38 $less($uminus(sK2),sK2) | (~spl8_24 | ~spl8_48)), 1.10/1.38 inference(resolution,[],[f342,f484])). 1.10/1.38 tff(f2694,plain,( 1.10/1.38 spl8_258 <=> $less($uminus(sK2),sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_258])])). 1.10/1.38 tff(f2695,plain,( 1.10/1.38 $less($uminus(sK2),sK2) | ~spl8_258), 1.10/1.38 inference(avatar_component_clause,[],[f2694])). 1.10/1.38 tff(f2696,plain,( 1.10/1.38 spl8_258 | ~spl8_24 | ~spl8_48), 1.10/1.38 inference(avatar_split_clause,[],[f2690,f483,f297,f2694])). 1.10/1.38 tff(f2702,plain,( 1.10/1.38 $less(0,$sum(sK2,sK2)) | ~spl8_24), 1.10/1.38 inference(resolution,[],[f343,f473])). 1.10/1.38 tff(f2708,plain,( 1.10/1.38 spl8_260 <=> $less(0,$sum(sK2,sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_260])])). 1.10/1.38 tff(f2710,plain,( 1.10/1.38 spl8_260 | ~spl8_24), 1.10/1.38 inference(avatar_split_clause,[],[f2702,f297,f2708])). 1.10/1.38 tff(f2716,plain,( 1.10/1.38 ~$less(sK2,$sum($uminus(sK2),length1(int,t2tb1(sK0)))) | (~spl8_3 | ~spl8_48)), 1.10/1.38 inference(resolution,[],[f745,f1055])). 1.10/1.38 tff(f2720,plain,( 1.10/1.38 $less($sum($uminus(sK2),sK2),0) | ~zero_at1(sK0,$sum($uminus(sK2),sK2)) | ~spl8_48), 1.10/1.38 inference(resolution,[],[f745,f690])). 1.10/1.38 tff(f2721,plain,( 1.10/1.38 $less($sum($uminus(sK2),-1),sK2) | (~spl8_26 | ~spl8_48)), 1.10/1.38 inference(resolution,[],[f745,f318])). 1.10/1.38 tff(f2723,plain,( 1.10/1.38 $less(0,$uminus($uminus(sK2))) | ~spl8_48), 1.10/1.38 inference(superposition,[],[f745,f59])). 1.10/1.38 tff(f2731,plain,( 1.10/1.38 spl8_263 <=> ~$less(sK2,$sum($uminus(sK2),length1(int,t2tb1(sK0))))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_263])])). 1.10/1.38 tff(f2733,plain,( 1.10/1.38 ~spl8_263 | spl8_3 | ~spl8_48), 1.10/1.38 inference(avatar_split_clause,[],[f2716,f483,f245,f2731])). 1.10/1.38 tff(f2734,plain,( 1.10/1.38 $less($sum(sK2,$uminus(sK2)),0) | ~zero_at1(sK0,$sum($uminus(sK2),sK2)) | ~spl8_48), 1.10/1.38 inference(forward_demodulation,[],[f2720,f55])). 1.10/1.38 tff(f2735,plain,( 1.10/1.38 $less(0,0) | ~zero_at1(sK0,$sum($uminus(sK2),sK2)) | ~spl8_48), 1.10/1.38 inference(forward_demodulation,[],[f2734,f59])). 1.10/1.38 tff(f2736,plain,( 1.10/1.38 ~zero_at1(sK0,$sum($uminus(sK2),sK2)) | ~spl8_48), 1.10/1.38 inference(evaluation,[],[f2735])). 1.10/1.38 tff(f2737,plain,( 1.10/1.38 ~zero_at1(sK0,$sum(sK2,$uminus(sK2))) | ~spl8_48), 1.10/1.38 inference(forward_demodulation,[],[f2736,f55])). 1.10/1.38 tff(f2738,plain,( 1.10/1.38 ~zero_at1(sK0,0) | ~spl8_48), 1.10/1.38 inference(forward_demodulation,[],[f2737,f59])). 1.10/1.38 tff(f2739,plain,( 1.10/1.38 $less($sum(-1,$uminus(sK2)),sK2) | (~spl8_26 | ~spl8_48)), 1.10/1.38 inference(forward_demodulation,[],[f2721,f55])). 1.10/1.38 tff(f2741,plain,( 1.10/1.38 spl8_264 <=> $less($sum(-1,$uminus(sK2)),sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_264])])). 1.10/1.38 tff(f2743,plain,( 1.10/1.38 spl8_264 | ~spl8_26 | ~spl8_48), 1.10/1.38 inference(avatar_split_clause,[],[f2739,f483,f302,f2741])). 1.10/1.38 tff(f2744,plain,( 1.10/1.38 $less(0,sK2) | ~spl8_48), 1.10/1.38 inference(forward_demodulation,[],[f2723,f65])). 1.10/1.38 tff(f2750,plain,( 1.10/1.38 ~zero_at1(sK0,$sum(sK2,sK2)) | (~spl8_5 | ~spl8_24 | ~spl8_46 | ~spl8_94)), 1.10/1.38 inference(resolution,[],[f931,f473])). 1.10/1.38 tff(f2754,plain,( 1.10/1.38 spl8_267 <=> ~zero_at1(sK0,$sum(sK2,sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_267])])). 1.10/1.38 tff(f2756,plain,( 1.10/1.38 ~spl8_267 | spl8_5 | ~spl8_24 | ~spl8_46 | ~spl8_94), 1.10/1.38 inference(avatar_split_clause,[],[f2750,f843,f479,f297,f276,f2754])). 1.10/1.38 tff(f2758,plain,( 1.10/1.38 $less(6,sK2) | sK2 = 6 | ~spl8_255), 1.10/1.38 inference(resolution,[],[f2670,f62])). 1.10/1.38 tff(f2759,plain,( 1.10/1.38 $less(6,sK2) | sK2 = 6 | ~spl8_255), 1.10/1.38 inference(resolution,[],[f2670,f62])). 1.10/1.38 tff(f2760,plain,( 1.10/1.38 $less(6,$sum(sK2,1)) | ~spl8_255), 1.10/1.38 inference(resolution,[],[f2670,f64])). 1.10/1.38 tff(f2761,plain,( 1.10/1.38 $less($sum(6,-1),sK2) | ~spl8_255), 1.10/1.38 inference(evaluation,[],[f2760])). 1.10/1.38 tff(f2762,plain,( 1.10/1.38 $less(5,sK2) | ~spl8_255), 1.10/1.38 inference(evaluation,[],[f2761])). 1.10/1.38 tff(f2764,plain,( 1.10/1.38 spl8_268 <=> sK2 = 6), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_268])])). 1.10/1.38 tff(f2765,plain,( 1.10/1.38 sK2 = 6 | ~spl8_268), 1.10/1.38 inference(avatar_component_clause,[],[f2764])). 1.10/1.38 tff(f2767,plain,( 1.10/1.38 spl8_270 <=> $less(6,sK2)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_270])])). 1.10/1.38 tff(f2768,plain,( 1.10/1.38 $less(6,sK2) | ~spl8_270), 1.10/1.38 inference(avatar_component_clause,[],[f2767])). 1.10/1.38 tff(f2769,plain,( 1.10/1.38 spl8_268 | spl8_270 | spl8_255), 1.10/1.38 inference(avatar_split_clause,[],[f2758,f2669,f2767,f2764])). 1.10/1.38 tff(f2770,plain,( 1.10/1.38 spl8_268 | spl8_270 | spl8_255), 1.10/1.38 inference(avatar_split_clause,[],[f2759,f2669,f2767,f2764])). 1.10/1.38 tff(f2781,plain,( 1.10/1.38 $less($sum(-1,length1(int,t2tb1(sK1))),length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_26)), 1.10/1.38 inference(superposition,[],[f320,f281])). 1.10/1.38 tff(f2783,plain,( 1.10/1.38 $less($sum(-1,$uminus(sK2)),0) | ~spl8_26), 1.10/1.38 inference(superposition,[],[f320,f59])). 1.10/1.38 tff(f2788,plain,( 1.10/1.38 $less($uminus(sK2),$uminus(-1)) | ~spl8_26), 1.10/1.38 inference(evaluation,[],[f2783])). 1.10/1.38 tff(f2789,plain,( 1.10/1.38 $less($uminus(sK2),1) | ~spl8_26), 1.10/1.38 inference(evaluation,[],[f2788])). 1.10/1.38 tff(f2807,plain,( 1.10/1.38 spl8_272 <=> $less($sum(-1,length1(int,t2tb1(sK1))),length1(int,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_272])])). 1.10/1.38 tff(f2809,plain,( 1.10/1.38 spl8_272 | ~spl8_18 | ~spl8_26), 1.10/1.38 inference(avatar_split_clause,[],[f2781,f302,f280,f2807])). 1.10/1.38 tff(f2817,plain,( 1.10/1.38 $less($sum($uminus(sK2),$uminus(sK2)),0) | ~spl8_48), 1.10/1.38 inference(resolution,[],[f738,f745])). 1.10/1.38 tff(f2831,plain,( 1.10/1.38 $less($uminus($sum(sK2,sK2)),0) | ~spl8_48), 1.10/1.38 inference(forward_demodulation,[],[f2817,f58])). 1.10/1.38 tff(f2834,plain,( 1.10/1.38 ~$less(0,$uminus(sK2)) | ~spl8_48), 1.10/1.38 inference(resolution,[],[f739,f60])). 1.10/1.38 tff(f2840,plain,( 1.10/1.38 ~$less(0,length1(int,t2tb1(sK0))) | ~$less(sK2,$uminus(sK2)) | (~spl8_3 | ~spl8_48)), 1.10/1.38 inference(resolution,[],[f739,f1055])). 1.10/1.38 tff(f2861,plain,( 1.10/1.38 ~$less(length1(int,t2tb1(sK0)),1) | no_zero1(sK0) | ~spl8_71), 1.10/1.38 inference(resolution,[],[f761,f194])). 1.10/1.38 tff(f2867,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK0)),1) | (~spl8_24 | ~spl8_71)), 1.10/1.38 inference(resolution,[],[f761,f473])). 1.10/1.38 tff(f2872,plain,( 1.10/1.38 ~$less($sum(6,sK6(sK0)),1) | (~spl8_24 | ~spl8_71 | ~spl8_268)), 1.10/1.38 inference(forward_demodulation,[],[f2867,f2765])). 1.10/1.38 tff(f2873,plain,( 1.10/1.38 ~$less(sK6(sK0),$sum(1,-6)) | (~spl8_24 | ~spl8_71 | ~spl8_268)), 1.10/1.38 inference(evaluation,[],[f2872])). 1.10/1.38 tff(f2874,plain,( 1.10/1.38 ~$less(sK6(sK0),-5) | (~spl8_24 | ~spl8_71 | ~spl8_268)), 1.10/1.38 inference(evaluation,[],[f2873])). 1.10/1.38 tff(f2876,plain,( 1.10/1.38 spl8_275 <=> ~$less(sK6(sK0),-5)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_275])])). 1.10/1.38 tff(f2877,plain,( 1.10/1.38 ~$less(sK6(sK0),-5) | ~spl8_275), 1.10/1.38 inference(avatar_component_clause,[],[f2876])). 1.10/1.38 tff(f2878,plain,( 1.10/1.38 ~spl8_275 | ~spl8_24 | spl8_71 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2874,f2764,f670,f297,f2876])). 1.10/1.38 tff(f2880,plain,( 1.10/1.38 ~zero_at1(sK0,6) | (~spl8_1 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f243,f2765])). 1.10/1.38 tff(f2881,plain,( 1.10/1.38 ~$less(6,length1(int,t2tb1(sK0))) | (~spl8_3 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f246,f2765])). 1.10/1.38 tff(f2883,plain,( 1.10/1.38 length1(int,t2tb1(sK0)) = $sum(6,length1(int,t2tb1(sK1))) | (~spl8_18 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f281,f2765])). 1.10/1.38 tff(f2896,plain,( 1.10/1.38 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,6,t2tb1(sK0))) | (~spl8_46 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f480,f2765])). 1.10/1.38 tff(f2905,plain,( 1.10/1.38 ~$less(sK7(sK0,6),0) | (~spl8_109 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f968,f2765])). 1.10/1.38 tff(f2906,plain,( 1.10/1.38 $less(sK7(sK0,6),6) | (~spl8_110 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f972,f2765])). 1.10/1.38 tff(f2908,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),6) | (~spl8_128 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f1062,f2765])). 1.10/1.38 tff(f2909,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),$sum(1,6)) | (~spl8_130 | ~spl8_268)), 1.10/1.38 inference(superposition,[],[f1069,f2765])). 1.10/1.38 tff(f2920,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),7) | (~spl8_130 | ~spl8_268)), 1.10/1.38 inference(evaluation,[],[f2909])). 1.10/1.38 tff(f2925,plain,( 1.10/1.38 spl8_277 <=> ~zero_at1(sK0,6)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_277])])). 1.10/1.38 tff(f2927,plain,( 1.10/1.38 ~spl8_277 | spl8_1 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2880,f2764,f242,f2925])). 1.10/1.38 tff(f2929,plain,( 1.10/1.38 spl8_279 <=> ~$less(6,length1(int,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_279])])). 1.10/1.38 tff(f2931,plain,( 1.10/1.38 ~spl8_279 | spl8_3 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2881,f2764,f245,f2929])). 1.10/1.38 tff(f2933,plain,( 1.10/1.38 spl8_280 <=> length1(int,t2tb1(sK0)) = $sum(6,length1(int,t2tb1(sK1)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_280])])). 1.10/1.38 tff(f2935,plain,( 1.10/1.38 spl8_280 | ~spl8_18 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2883,f2764,f280,f2933])). 1.10/1.38 tff(f2936,plain,( 1.10/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,6,t2tb1(sK0))) | (~spl8_46 | ~spl8_94 | ~spl8_268)), 1.10/1.38 inference(forward_demodulation,[],[f2896,f844])). 1.10/1.38 tff(f2938,plain,( 1.10/1.38 spl8_282 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,6,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_282])])). 1.10/1.38 tff(f2940,plain,( 1.10/1.38 spl8_282 | ~spl8_46 | ~spl8_94 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2936,f2764,f843,f479,f2938])). 1.10/1.38 tff(f2942,plain,( 1.10/1.38 spl8_285 <=> ~$less(sK7(sK0,6),0)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_285])])). 1.10/1.38 tff(f2944,plain,( 1.10/1.38 ~spl8_285 | spl8_109 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2905,f2764,f967,f2942])). 1.10/1.38 tff(f2946,plain,( 1.10/1.38 spl8_286 <=> $less(sK7(sK0,6),6)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_286])])). 1.10/1.38 tff(f2948,plain,( 1.10/1.38 spl8_286 | ~spl8_110 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2906,f2764,f971,f2946])). 1.10/1.38 tff(f2949,plain,( 1.10/1.38 spl8_238 | ~spl8_128 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2908,f2764,f1061,f2606])). 1.10/1.38 tff(f2951,plain,( 1.10/1.38 spl8_288 <=> $less(length1(int,t2tb1(sK0)),7)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_288])])). 1.10/1.38 tff(f2953,plain,( 1.10/1.38 spl8_288 | ~spl8_130 | ~spl8_268), 1.10/1.38 inference(avatar_split_clause,[],[f2920,f2764,f1068,f2951])). 1.10/1.38 tff(f2957,plain,( 1.10/1.38 spl8_291 <=> ~$less($sum(sK2,sK6(sK0)),1)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_291])])). 1.10/1.38 tff(f2958,plain,( 1.10/1.38 ~$less($sum(sK2,sK6(sK0)),1) | ~spl8_291), 1.10/1.38 inference(avatar_component_clause,[],[f2957])). 1.10/1.38 tff(f2959,plain,( 1.10/1.38 ~spl8_291 | ~spl8_24 | spl8_71), 1.10/1.38 inference(avatar_split_clause,[],[f2867,f670,f297,f2957])). 1.10/1.38 tff(f2961,plain,( 1.10/1.38 spl8_293 <=> ~$less(sK2,$uminus(sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_293])])). 1.10/1.38 tff(f2964,plain,( 1.10/1.38 spl8_295 <=> ~$less(0,length1(int,t2tb1(sK0)))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_295])])). 1.10/1.38 tff(f2966,plain,( 1.10/1.38 ~spl8_293 | ~spl8_295 | spl8_3 | ~spl8_48), 1.10/1.38 inference(avatar_split_clause,[],[f2840,f483,f245,f2964,f2961])). 1.10/1.38 tff(f2968,plain,( 1.10/1.38 spl8_297 <=> ~$less(0,$uminus(sK2))), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_297])])). 1.10/1.38 tff(f2970,plain,( 1.10/1.38 ~spl8_297 | ~spl8_48), 1.10/1.38 inference(avatar_split_clause,[],[f2834,f483,f2968])). 1.10/1.38 tff(f2972,plain,( 1.10/1.38 spl8_298 <=> $less($uminus($sum(sK2,sK2)),0)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_298])])). 1.10/1.38 tff(f2974,plain,( 1.10/1.38 spl8_298 | ~spl8_48), 1.10/1.38 inference(avatar_split_clause,[],[f2831,f483,f2972])). 1.10/1.38 tff(f2976,plain,( 1.10/1.38 spl8_300 <=> $less($uminus(sK2),1)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_300])])). 1.10/1.38 tff(f2978,plain,( 1.10/1.38 spl8_300 | ~spl8_26), 1.10/1.38 inference(avatar_split_clause,[],[f2789,f302,f2976])). 1.10/1.38 tff(f2980,plain,( 1.10/1.38 spl8_202 | ~spl8_128 | ~spl8_224), 1.10/1.38 inference(avatar_split_clause,[],[f2577,f2512,f1061,f1893])). 1.10/1.38 tff(f2987,plain,( 1.10/1.38 ~$less($sum(5,sK6(sK0)),1) | (~spl8_224 | ~spl8_291)), 1.10/1.38 inference(forward_demodulation,[],[f2958,f2513])). 1.10/1.38 tff(f2988,plain,( 1.10/1.38 ~$less(sK6(sK0),$sum(1,-5)) | (~spl8_224 | ~spl8_291)), 1.10/1.38 inference(evaluation,[],[f2987])). 1.10/1.38 tff(f2989,plain,( 1.10/1.38 ~$less(sK6(sK0),-4) | (~spl8_224 | ~spl8_291)), 1.10/1.38 inference(evaluation,[],[f2988])). 1.10/1.38 tff(f2991,plain,( 1.10/1.38 spl8_303 <=> ~$less(sK6(sK0),-4)), 1.10/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_303])])). 1.10/1.38 tff(f2992,plain,( 1.10/1.38 ~$less(sK6(sK0),-4) | ~spl8_303), 1.10/1.38 inference(avatar_component_clause,[],[f2991])). 1.10/1.38 tff(f2993,plain,( 1.10/1.38 ~spl8_303 | ~spl8_224 | spl8_291), 1.10/1.38 inference(avatar_split_clause,[],[f2989,f2957,f2512,f2991])). 1.10/1.38 tff(f3049,plain,( 1.10/1.38 $less($sum(1,length1(int,t2tb1(sK0))),sK2) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | ~spl8_143), 1.10/1.38 inference(resolution,[],[f1126,f62])). 1.10/1.38 tff(f3050,plain,( 1.10/1.38 $less($sum(1,length1(int,t2tb1(sK0))),sK2) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | ~spl8_143), 1.10/1.38 inference(resolution,[],[f1126,f62])). 1.10/1.38 tff(f3051,plain,( 1.10/1.38 $less($sum(1,length1(int,t2tb1(sK0))),$sum(sK2,1)) | ~spl8_143), 1.10/1.38 inference(resolution,[],[f1126,f64])). 1.10/1.38 tff(f3053,plain,( 1.10/1.38 $less($sum(1,length1(int,t2tb1(sK0))),5) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | (~spl8_143 | ~spl8_224)), 1.10/1.38 inference(forward_demodulation,[],[f3049,f2513])). 1.10/1.38 tff(f3054,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),$sum(5,-1)) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | (~spl8_143 | ~spl8_224)), 1.10/1.38 inference(evaluation,[],[f3053])). 1.10/1.38 tff(f3055,plain,( 1.10/1.38 $less(length1(int,t2tb1(sK0)),4) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3054])). 1.17/1.38 tff(f3056,plain,( 1.17/1.38 $sum(1,length1(int,t2tb1(sK0))) = 5 | $less(length1(int,t2tb1(sK0)),4) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3055,f2513])). 1.17/1.38 tff(f3057,plain,( 1.17/1.38 length1(int,t2tb1(sK0)) = $sum(5,-1) | $less(length1(int,t2tb1(sK0)),4) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3056])). 1.17/1.38 tff(f3058,plain,( 1.17/1.38 length1(int,t2tb1(sK0)) = 4 | $less(length1(int,t2tb1(sK0)),4) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3057])). 1.17/1.38 tff(f3060,plain,( 1.17/1.38 spl8_304 <=> length1(int,t2tb1(sK0)) = 4), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_304])])). 1.17/1.38 tff(f3061,plain,( 1.17/1.38 length1(int,t2tb1(sK0)) = 4 | ~spl8_304), 1.17/1.38 inference(avatar_component_clause,[],[f3060])). 1.17/1.38 tff(f3062,plain,( 1.17/1.38 spl8_200 | spl8_304 | spl8_143 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3058,f2512,f1125,f3060,f1889])). 1.17/1.38 tff(f3063,plain,( 1.17/1.38 $less($sum(1,length1(int,t2tb1(sK0))),5) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3050,f2513])). 1.17/1.38 tff(f3064,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK0)),$sum(5,-1)) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3063])). 1.17/1.38 tff(f3065,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK0)),4) | $sum(1,length1(int,t2tb1(sK0))) = sK2 | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3064])). 1.17/1.38 tff(f3066,plain,( 1.17/1.38 $sum(1,length1(int,t2tb1(sK0))) = 5 | $less(length1(int,t2tb1(sK0)),4) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3065,f2513])). 1.17/1.38 tff(f3067,plain,( 1.17/1.38 length1(int,t2tb1(sK0)) = $sum(5,-1) | $less(length1(int,t2tb1(sK0)),4) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3066])). 1.17/1.38 tff(f3068,plain,( 1.17/1.38 length1(int,t2tb1(sK0)) = 4 | $less(length1(int,t2tb1(sK0)),4) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3067])). 1.17/1.38 tff(f3069,plain,( 1.17/1.38 spl8_200 | spl8_304 | spl8_143 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3068,f2512,f1125,f3060,f1889])). 1.17/1.38 tff(f3070,plain,( 1.17/1.38 $less($sum(1,length1(int,t2tb1(sK0))),$sum(1,sK2)) | ~spl8_143), 1.17/1.38 inference(forward_demodulation,[],[f3051,f55])). 1.17/1.38 tff(f3101,plain,( 1.17/1.38 ~$less(sK7(sK0,5),0) | (~spl8_109 | ~spl8_224)), 1.17/1.38 inference(superposition,[],[f968,f2513])). 1.17/1.38 tff(f3102,plain,( 1.17/1.38 $less(sK7(sK0,5),5) | (~spl8_110 | ~spl8_224)), 1.17/1.38 inference(superposition,[],[f972,f2513])). 1.17/1.38 tff(f3106,plain,( 1.17/1.38 ~$less(5,$sum(1,length1(int,t2tb1(sK0)))) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(superposition,[],[f1126,f2513])). 1.17/1.38 tff(f3115,plain,( 1.17/1.38 ~$less($sum(5,-1),length1(int,t2tb1(sK0))) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3106])). 1.17/1.38 tff(f3116,plain,( 1.17/1.38 ~$less(4,length1(int,t2tb1(sK0))) | (~spl8_143 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3115])). 1.17/1.38 tff(f3124,plain,( 1.17/1.38 spl8_307 <=> ~$less(sK7(sK0,5),0)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_307])])). 1.17/1.38 tff(f3126,plain,( 1.17/1.38 ~spl8_307 | spl8_109 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3101,f2512,f967,f3124])). 1.17/1.38 tff(f3128,plain,( 1.17/1.38 spl8_308 <=> $less(sK7(sK0,5),5)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_308])])). 1.17/1.38 tff(f3130,plain,( 1.17/1.38 spl8_308 | ~spl8_110 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3102,f2512,f971,f3128])). 1.17/1.38 tff(f3159,plain,( 1.17/1.38 ( ! [X0:$int] : ($less(X0,sK2) | ~$less(X0,sK6(sK0)) | no_zero1(sK0)) ) | ~spl8_128), 1.17/1.38 inference(resolution,[],[f1119,f530])). 1.17/1.38 tff(f3164,plain,( 1.17/1.38 $less(0,sK2) | length1(int,t2tb1(sK0)) = 0 | ~spl8_128), 1.17/1.38 inference(resolution,[],[f1119,f381])). 1.17/1.38 tff(f3166,plain,( 1.17/1.38 $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),sK2) | (~spl8_48 | ~spl8_128)), 1.17/1.38 inference(resolution,[],[f1119,f745])). 1.17/1.38 tff(f3168,plain,( 1.17/1.38 $less(sK6(sK0),sK2) | no_zero1(sK0) | ~spl8_128), 1.17/1.38 inference(resolution,[],[f1119,f194])). 1.17/1.38 tff(f3169,plain,( 1.17/1.38 $less(sK6(tb2t1(t2tb1(sK0))),sK2) | no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_128), 1.17/1.38 inference(resolution,[],[f1119,f534])). 1.17/1.38 tff(f3185,plain,( 1.17/1.38 $less($sum($uminus(5),length1(int,t2tb1(sK0))),5) | (~spl8_48 | ~spl8_128 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3166,f2513])). 1.17/1.38 tff(f3186,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK0)),$sum(5,5)) | (~spl8_48 | ~spl8_128 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3185])). 1.17/1.38 tff(f3187,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK0)),10) | (~spl8_48 | ~spl8_128 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3186])). 1.17/1.38 tff(f3193,plain,( 1.17/1.38 $less(2,sK6(sK0)) | sK6(sK0) = 2 | ~spl8_229), 1.17/1.38 inference(resolution,[],[f2528,f62])). 1.17/1.38 tff(f3194,plain,( 1.17/1.38 $less(2,sK6(sK0)) | sK6(sK0) = 2 | ~spl8_229), 1.17/1.38 inference(resolution,[],[f2528,f62])). 1.17/1.38 tff(f3199,plain,( 1.17/1.38 spl8_310 <=> sK6(sK0) = 2), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_310])])). 1.17/1.38 tff(f3202,plain,( 1.17/1.38 spl8_312 <=> $less(2,sK6(sK0))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_312])])). 1.17/1.38 tff(f3203,plain,( 1.17/1.38 $less(2,sK6(sK0)) | ~spl8_312), 1.17/1.38 inference(avatar_component_clause,[],[f3202])). 1.17/1.38 tff(f3204,plain,( 1.17/1.38 spl8_310 | spl8_312 | spl8_229), 1.17/1.38 inference(avatar_split_clause,[],[f3193,f2527,f3202,f3199])). 1.17/1.38 tff(f3205,plain,( 1.17/1.38 spl8_310 | spl8_312 | spl8_229), 1.17/1.38 inference(avatar_split_clause,[],[f3194,f2527,f3202,f3199])). 1.17/1.38 tff(f3206,plain,( 1.17/1.38 ~$less(sK2,$sum(1,sK6(sK0))) | no_zero1(sK0) | ~spl8_128), 1.17/1.38 inference(resolution,[],[f1120,f535])). 1.17/1.38 tff(f3207,plain,( 1.17/1.38 ( ! [X0:$int] : (~$less(sK2,X0) | no_zero1(sK0) | $less(sK6(sK0),X0)) ) | ~spl8_128), 1.17/1.38 inference(resolution,[],[f1120,f531])). 1.17/1.38 tff(f3223,plain,( 1.17/1.38 ~$less(sK2,$uminus(sK2)) | $less(length1(int,t2tb1(sK0)),0) | (~spl8_48 | ~spl8_128)), 1.17/1.38 inference(resolution,[],[f1120,f738])). 1.17/1.38 tff(f3245,plain,( 1.17/1.38 ~$less(sK2,$uminus(sK2)) | (~spl8_48 | ~spl8_128)), 1.17/1.38 inference(subsumption_resolution,[],[f3223,f197])). 1.17/1.38 tff(f3248,plain,( 1.17/1.38 some_proj_11(list(int),tl(int,t2tb1(sK1))) = t2tb1(sK5) | ~sort1(list(int),t2tb1(sK5)) | ~spl8_82), 1.17/1.38 inference(superposition,[],[f212,f819])). 1.17/1.38 tff(f3250,plain,( 1.17/1.38 none(list(int)) != tl(int,t2tb1(sK1)) | ~spl8_82), 1.17/1.38 inference(superposition,[],[f201,f819])). 1.17/1.38 tff(f3251,plain,( 1.17/1.38 some_proj_11(list(int),tl(int,t2tb1(sK1))) = t2tb1(sK5) | ~spl8_82), 1.17/1.38 inference(subsumption_resolution,[],[f3248,f182])). 1.17/1.38 tff(f3253,plain,( 1.17/1.38 spl8_314 <=> some_proj_11(list(int),tl(int,t2tb1(sK1))) = t2tb1(sK5)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_314])])). 1.17/1.38 tff(f3255,plain,( 1.17/1.38 spl8_314 | ~spl8_82), 1.17/1.38 inference(avatar_split_clause,[],[f3251,f818,f3253])). 1.17/1.38 tff(f3257,plain,( 1.17/1.38 spl8_317 <=> none(list(int)) != tl(int,t2tb1(sK1))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_317])])). 1.17/1.38 tff(f3259,plain,( 1.17/1.38 ~spl8_317 | ~spl8_82), 1.17/1.38 inference(avatar_split_clause,[],[f3250,f818,f3257])). 1.17/1.38 tff(f3261,plain,( 1.17/1.38 ( ! [X0:list_int] : ($less($uminus(sK2),0) | ~zero_at1(X0,-1) | ~zero_at1(X0,$uminus(sK2))) ) | ~spl8_242), 1.17/1.38 inference(resolution,[],[f2614,f717])). 1.17/1.38 tff(f3265,plain,( 1.17/1.38 ~$less(-1,$sum($uminus(sK2),1)) | ~spl8_242), 1.17/1.38 inference(resolution,[],[f2614,f72])). 1.17/1.38 tff(f3267,plain,( 1.17/1.38 ~$less($sum(-1,-1),$uminus(sK2)) | ~spl8_242), 1.17/1.38 inference(evaluation,[],[f3265])). 1.17/1.38 tff(f3268,plain,( 1.17/1.38 ~$less(-2,$uminus(sK2)) | ~spl8_242), 1.17/1.38 inference(evaluation,[],[f3267])). 1.17/1.38 tff(f3278,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,$sum(sK2,0)),$sum(sK2,0)) | zero_at1(sK0,$sum(sK2,0)) | $less(0,0) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f707,f844])). 1.17/1.38 tff(f3282,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(0,length1(int,t2tb1(sK1))) | $less(0,0) | ~no_zero1(sK1) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f196,f844])). 1.17/1.38 tff(f3284,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK1,0),0) | zero_at1(sK1,0) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f217,f844])). 1.17/1.38 tff(f3285,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK1,0),0) | zero_at1(sK1,0) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f218,f844])). 1.17/1.38 tff(f3286,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,0),t2tb1(sK1))) | zero_at1(sK1,0) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f219,f844])). 1.17/1.38 tff(f3287,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK1)),0),t2tb1(sK1))) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f758,f844])). 1.17/1.38 tff(f3288,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(0,length1(int,t2tb1(sK1))) | $less(0,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f729,f844])). 1.17/1.38 tff(f3290,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(t2tb1(sK1)),0),0) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f706,f844])). 1.17/1.38 tff(f3291,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(t2tb1(sK1)),0),0) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(superposition,[],[f699,f844])). 1.17/1.38 tff(f3293,plain,( 1.17/1.38 ~$less(sK7(tb2t1(t2tb1(sK1)),0),0) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3291])). 1.17/1.38 tff(f3294,plain,( 1.17/1.38 $less(sK7(tb2t1(t2tb1(sK1)),0),0) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3290])). 1.17/1.38 tff(f3297,plain,( 1.17/1.38 ~$less(0,length1(int,t2tb1(sK1))) | $less(0,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3288])). 1.17/1.38 tff(f3298,plain,( 1.17/1.38 ~$less(0,length1(int,t2tb1(sK1))) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_94), 1.17/1.38 inference(evaluation,[],[f3297])). 1.17/1.38 tff(f3299,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK1)),0),t2tb1(sK1))) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3287])). 1.17/1.38 tff(f3300,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,0),t2tb1(sK1))) | zero_at1(sK1,0) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3286])). 1.17/1.38 tff(f3301,plain,( 1.17/1.38 $less(sK7(sK1,0),0) | zero_at1(sK1,0) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3285])). 1.17/1.38 tff(f3302,plain,( 1.17/1.38 ~$less(sK7(sK1,0),0) | zero_at1(sK1,0) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3284])). 1.17/1.38 tff(f3305,plain,( 1.17/1.38 ~$less(0,length1(int,t2tb1(sK1))) | $less(0,0) | ~no_zero1(sK1) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3282])). 1.17/1.38 tff(f3306,plain,( 1.17/1.38 ~$less(0,length1(int,t2tb1(sK1))) | ~no_zero1(sK1) | ~spl8_94), 1.17/1.38 inference(evaluation,[],[f3305])). 1.17/1.38 tff(f3313,plain,( 1.17/1.38 $less(sK7(sK0,$sum(sK2,0)),$sum(sK2,0)) | zero_at1(sK0,$sum(sK2,0)) | $less(0,0) | ~spl8_94), 1.17/1.38 inference(trivial_inequality_removal,[],[f3278])). 1.17/1.38 tff(f3314,plain,( 1.17/1.38 $less(sK7(sK0,sK2),sK2) | zero_at1(sK0,sK2) | ~spl8_94), 1.17/1.38 inference(evaluation,[],[f3313])). 1.17/1.38 tff(f3319,plain,( 1.17/1.38 ~$less(0,length1(int,t2tb1(sK1))) | (~spl8_94 | ~spl8_168)), 1.17/1.38 inference(subsumption_resolution,[],[f3306,f2114])). 1.17/1.38 tff(f3321,plain,( 1.17/1.38 spl8_319 <=> ~$less(0,length1(int,t2tb1(sK1)))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_319])])). 1.17/1.38 tff(f3323,plain,( 1.17/1.38 ~spl8_319 | ~spl8_94 | ~spl8_168), 1.17/1.38 inference(avatar_split_clause,[],[f3319,f2113,f843,f3321])). 1.17/1.38 tff(f3325,plain,( 1.17/1.38 spl8_320 <=> zero_at1(sK1,0)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_320])])). 1.17/1.38 tff(f3326,plain,( 1.17/1.38 zero_at1(sK1,0) | ~spl8_320), 1.17/1.38 inference(avatar_component_clause,[],[f3325])). 1.17/1.38 tff(f3328,plain,( 1.17/1.38 spl8_323 <=> ~$less(sK7(sK1,0),0)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_323])])). 1.17/1.38 tff(f3330,plain,( 1.17/1.38 spl8_320 | ~spl8_323 | ~spl8_94), 1.17/1.38 inference(avatar_split_clause,[],[f3302,f843,f3328,f3325])). 1.17/1.38 tff(f3332,plain,( 1.17/1.38 spl8_322 <=> $less(sK7(sK1,0),0)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_322])])). 1.17/1.38 tff(f3334,plain,( 1.17/1.38 spl8_320 | spl8_322 | ~spl8_94), 1.17/1.38 inference(avatar_split_clause,[],[f3301,f843,f3332,f3325])). 1.17/1.38 tff(f3336,plain,( 1.17/1.38 spl8_324 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,0),t2tb1(sK1)))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_324])])). 1.17/1.38 tff(f3338,plain,( 1.17/1.38 spl8_320 | spl8_324 | ~spl8_94), 1.17/1.38 inference(avatar_split_clause,[],[f3300,f843,f3336,f3325])). 1.17/1.38 tff(f3339,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,0),t2tb1(sK1))) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(forward_demodulation,[],[f3299,f177])). 1.17/1.38 tff(f3340,plain,( 1.17/1.38 zero_at1(sK1,0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,0),t2tb1(sK1))) | ~spl8_94), 1.17/1.38 inference(forward_demodulation,[],[f3339,f177])). 1.17/1.38 tff(f3341,plain,( 1.17/1.38 spl8_324 | spl8_320 | ~spl8_94), 1.17/1.38 inference(avatar_split_clause,[],[f3340,f843,f3325,f3336])). 1.17/1.38 tff(f3342,plain,( 1.17/1.38 ~no_zero1(sK1) | ~$less(0,length1(int,t2tb1(sK1))) | ~spl8_94), 1.17/1.38 inference(forward_demodulation,[],[f3298,f177])). 1.17/1.38 tff(f3343,plain,( 1.17/1.38 ~$less(0,length1(int,t2tb1(sK1))) | (~spl8_94 | ~spl8_168)), 1.17/1.38 inference(subsumption_resolution,[],[f3342,f2114])). 1.17/1.38 tff(f3344,plain,( 1.17/1.38 ~spl8_319 | ~spl8_94 | ~spl8_168), 1.17/1.38 inference(avatar_split_clause,[],[f3343,f2113,f843,f3321])). 1.17/1.38 tff(f3346,plain,( 1.17/1.38 $less(sK7(sK1,0),0) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(forward_demodulation,[],[f3294,f177])). 1.17/1.38 tff(f3347,plain,( 1.17/1.38 zero_at1(sK1,0) | $less(sK7(sK1,0),0) | ~spl8_94), 1.17/1.38 inference(forward_demodulation,[],[f3346,f177])). 1.17/1.38 tff(f3348,plain,( 1.17/1.38 spl8_322 | spl8_320 | ~spl8_94), 1.17/1.38 inference(avatar_split_clause,[],[f3347,f843,f3325,f3332])). 1.17/1.38 tff(f3349,plain,( 1.17/1.38 ~$less(sK7(sK1,0),0) | zero_at1(tb2t1(t2tb1(sK1)),0) | ~spl8_94), 1.17/1.38 inference(forward_demodulation,[],[f3293,f177])). 1.17/1.38 tff(f3350,plain,( 1.17/1.38 zero_at1(sK1,0) | ~$less(sK7(sK1,0),0) | ~spl8_94), 1.17/1.38 inference(forward_demodulation,[],[f3349,f177])). 1.17/1.38 tff(f3351,plain,( 1.17/1.38 ~spl8_323 | spl8_320 | ~spl8_94), 1.17/1.38 inference(avatar_split_clause,[],[f3350,f843,f3325,f3328])). 1.17/1.38 tff(f3352,plain,( 1.17/1.38 some(int,t2tb2(0)) = nth1(int,5,t2tb1(sK0)) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(superposition,[],[f964,f2513])). 1.17/1.38 tff(f3358,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,sK2),sK2) | zero_at1(sK0,sK2) | ~spl8_106), 1.17/1.38 inference(superposition,[],[f218,f964])). 1.17/1.38 tff(f3360,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK2),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | ~spl8_106), 1.17/1.38 inference(superposition,[],[f758,f964])). 1.17/1.38 tff(f3363,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(t2tb1(sK0)),sK2),sK2) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | ~spl8_106), 1.17/1.38 inference(superposition,[],[f706,f964])). 1.17/1.38 tff(f3367,plain,( 1.17/1.38 $less(sK7(tb2t1(t2tb1(sK0)),sK2),sK2) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | ~spl8_106), 1.17/1.38 inference(trivial_inequality_removal,[],[f3363])). 1.17/1.38 tff(f3370,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK2),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | ~spl8_106), 1.17/1.38 inference(trivial_inequality_removal,[],[f3360])). 1.17/1.38 tff(f3372,plain,( 1.17/1.38 $less(sK7(sK0,sK2),sK2) | zero_at1(sK0,sK2) | ~spl8_106), 1.17/1.38 inference(trivial_inequality_removal,[],[f3358])). 1.17/1.38 tff(f3378,plain,( 1.17/1.38 spl8_326 <=> some(int,t2tb2(0)) = nth1(int,5,t2tb1(sK0))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_326])])). 1.17/1.38 tff(f3380,plain,( 1.17/1.38 spl8_326 | ~spl8_106 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3352,f2512,f963,f3378])). 1.17/1.38 tff(f3381,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),5),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3370,f2513])). 1.17/1.38 tff(f3382,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,5),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3381,f177])). 1.17/1.38 tff(f3383,plain,( 1.17/1.38 zero_at1(tb2t1(t2tb1(sK0)),5) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,5),t2tb1(sK0))) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3382,f2513])). 1.17/1.38 tff(f3384,plain,( 1.17/1.38 zero_at1(sK0,5) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,5),t2tb1(sK0))) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3383,f177])). 1.17/1.38 tff(f3385,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,5),t2tb1(sK0))) | (~spl8_106 | ~spl8_224 | ~spl8_231)), 1.17/1.38 inference(subsumption_resolution,[],[f3384,f2589])). 1.17/1.38 tff(f3387,plain,( 1.17/1.38 spl8_328 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,5),t2tb1(sK0)))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_328])])). 1.17/1.38 tff(f3389,plain,( 1.17/1.38 spl8_328 | ~spl8_106 | ~spl8_224 | spl8_231), 1.17/1.38 inference(avatar_split_clause,[],[f3385,f2588,f2512,f963,f3387])). 1.17/1.38 tff(f3393,plain,( 1.17/1.38 $less(sK7(tb2t1(t2tb1(sK0)),5),5) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3367,f2513])). 1.17/1.38 tff(f3394,plain,( 1.17/1.38 $less(sK7(sK0,5),5) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3393,f177])). 1.17/1.38 tff(f3403,plain,( 1.17/1.38 $less(0,$sum(sK2,$uminus(length1(int,t2tb1(sK0))))) | ~spl8_128), 1.17/1.38 inference(superposition,[],[f1121,f59])). 1.17/1.38 tff(f3408,plain,( 1.17/1.38 $less($sum(length1(int,t2tb1(sK0)),length1(int,t2tb1(sK1))),length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_128)), 1.17/1.38 inference(superposition,[],[f1121,f281])). 1.17/1.38 tff(f3410,plain,( 1.17/1.38 $less($sum(length1(int,t2tb1(sK0)),$uminus(sK2)),0) | ~spl8_128), 1.17/1.38 inference(superposition,[],[f1121,f59])). 1.17/1.38 tff(f3441,plain,( 1.17/1.38 $less($sum(4,length1(int,t2tb1(sK1))),4) | (~spl8_18 | ~spl8_128 | ~spl8_304)), 1.17/1.38 inference(forward_demodulation,[],[f3408,f3061])). 1.17/1.38 tff(f3442,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK1)),$sum(4,-4)) | (~spl8_18 | ~spl8_128 | ~spl8_304)), 1.17/1.38 inference(evaluation,[],[f3441])). 1.17/1.38 tff(f3443,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK1)),0) | (~spl8_18 | ~spl8_128 | ~spl8_304)), 1.17/1.38 inference(evaluation,[],[f3442])). 1.17/1.38 tff(f3444,plain,( 1.17/1.38 $false | (~spl8_18 | ~spl8_128 | ~spl8_304)), 1.17/1.38 inference(subsumption_resolution,[],[f3443,f197])). 1.17/1.38 tff(f3445,plain,( 1.17/1.38 ~spl8_18 | ~spl8_128 | ~spl8_304), 1.17/1.38 inference(avatar_contradiction_clause,[],[f3444])). 1.17/1.38 tff(f3447,plain,( 1.17/1.38 $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),0) | ~spl8_128), 1.17/1.38 inference(forward_demodulation,[],[f3410,f55])). 1.17/1.38 tff(f3460,plain,( 1.17/1.38 spl8_330 <=> $less($sum(length1(int,t2tb1(sK0)),length1(int,t2tb1(sK1))),length1(int,t2tb1(sK0)))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_330])])). 1.17/1.38 tff(f3462,plain,( 1.17/1.38 spl8_330 | ~spl8_18 | ~spl8_128), 1.17/1.38 inference(avatar_split_clause,[],[f3408,f1061,f280,f3460])). 1.17/1.38 tff(f3463,plain,( 1.17/1.38 $less(0,$sum(5,$uminus(length1(int,t2tb1(sK0))))) | (~spl8_128 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3403,f2513])). 1.17/1.38 tff(f3464,plain,( 1.17/1.38 $less($uminus(5),$uminus(length1(int,t2tb1(sK0)))) | (~spl8_128 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3463])). 1.17/1.38 tff(f3465,plain,( 1.17/1.38 $less(-5,$uminus(length1(int,t2tb1(sK0)))) | (~spl8_128 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3464])). 1.17/1.38 tff(f3467,plain,( 1.17/1.38 spl8_332 <=> $less(-5,$uminus(length1(int,t2tb1(sK0))))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_332])])). 1.17/1.38 tff(f3469,plain,( 1.17/1.38 spl8_332 | ~spl8_128 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3465,f2512,f1061,f3467])). 1.17/1.38 tff(f3474,plain,( 1.17/1.38 spl8_334 <=> $less(length1(int,t2tb1(sK0)),10)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_334])])). 1.17/1.38 tff(f3476,plain,( 1.17/1.38 spl8_334 | ~spl8_48 | ~spl8_128 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3187,f2512,f1061,f483,f3474])). 1.17/1.38 tff(f3477,plain,( 1.17/1.38 ~spl8_195 | spl8_143 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3116,f2512,f1125,f1876])). 1.17/1.38 tff(f3479,plain,( 1.17/1.38 $less($sum(1,length1(int,t2tb1(sK0))),$sum(1,sK2)) | $sum(1,sK2) = $sum(1,length1(int,t2tb1(sK0))) | ~spl8_145), 1.17/1.38 inference(resolution,[],[f1136,f62])). 1.17/1.38 tff(f3480,plain,( 1.17/1.38 $less($sum(1,length1(int,t2tb1(sK0))),$sum(1,sK2)) | $sum(1,sK2) = $sum(1,length1(int,t2tb1(sK0))) | ~spl8_145), 1.17/1.38 inference(resolution,[],[f1136,f62])). 1.17/1.38 tff(f3481,plain,( 1.17/1.38 $less($sum(1,length1(int,t2tb1(sK0))),$sum($sum(1,sK2),1)) | ~spl8_145), 1.17/1.38 inference(resolution,[],[f1136,f64])). 1.17/1.38 tff(f3493,plain,( 1.17/1.38 $less($sum(1,length1(int,t2tb1(sK0))),$sum(1,$sum(sK2,1))) | ~spl8_145), 1.17/1.38 inference(forward_demodulation,[],[f3481,f56])). 1.17/1.38 tff(f3494,plain,( 1.17/1.38 $less($sum(1,length1(int,t2tb1(sK0))),$sum(1,$sum(1,sK2))) | ~spl8_145), 1.17/1.38 inference(forward_demodulation,[],[f3493,f55])). 1.17/1.38 tff(f3502,plain,( 1.17/1.38 ( ! [X0:$int] : ($less(X0,$sum(1,sK2)) | ~$less(X0,sK6(sK0)) | no_zero1(sK0)) ) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1128,f530])). 1.17/1.38 tff(f3510,plain,( 1.17/1.38 $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),$sum(1,sK2)) | (~spl8_48 | ~spl8_130)), 1.17/1.38 inference(resolution,[],[f1128,f745])). 1.17/1.38 tff(f3511,plain,( 1.17/1.38 $less($uminus(sK2),$sum(1,sK2)) | ~$less(0,length1(int,t2tb1(sK0))) | (~spl8_48 | ~spl8_130)), 1.17/1.38 inference(resolution,[],[f1128,f739])). 1.17/1.38 tff(f3512,plain,( 1.17/1.38 $less(sK6(sK0),$sum(1,sK2)) | no_zero1(sK0) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1128,f194])). 1.17/1.38 tff(f3513,plain,( 1.17/1.38 $less(sK6(tb2t1(t2tb1(sK0))),$sum(1,sK2)) | no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1128,f534])). 1.17/1.38 tff(f3530,plain,( 1.17/1.38 $less($sum($uminus(5),length1(int,t2tb1(sK0))),$sum(1,5)) | (~spl8_48 | ~spl8_130 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3510,f2513])). 1.17/1.38 tff(f3531,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK0)),$sum(6,5)) | (~spl8_48 | ~spl8_130 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3530])). 1.17/1.38 tff(f3532,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK0)),11) | (~spl8_48 | ~spl8_130 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3531])). 1.17/1.38 tff(f3534,plain,( 1.17/1.38 spl8_336 <=> $less(length1(int,t2tb1(sK0)),11)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_336])])). 1.17/1.38 tff(f3536,plain,( 1.17/1.38 spl8_336 | ~spl8_48 | ~spl8_130 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3532,f2512,f1068,f483,f3534])). 1.17/1.38 tff(f3542,plain,( 1.17/1.38 ~$less($sum(1,sK2),$sum(1,sK6(sK0))) | no_zero1(sK0) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1129,f535])). 1.17/1.38 tff(f3543,plain,( 1.17/1.38 ( ! [X0:$int] : (~$less($sum(1,sK2),X0) | no_zero1(sK0) | $less(sK6(sK0),X0)) ) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1129,f531])). 1.17/1.38 tff(f3545,plain,( 1.17/1.38 ~$less($sum(1,sK2),-1) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1129,f606])). 1.17/1.38 tff(f3547,plain,( 1.17/1.38 ~$less($sum(1,sK2),length1(int,t2tb1(sK0))) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1129,f60])). 1.17/1.38 tff(f3560,plain,( 1.17/1.38 ~$less($sum(1,sK2),$uminus(sK2)) | $less(length1(int,t2tb1(sK0)),0) | (~spl8_48 | ~spl8_130)), 1.17/1.38 inference(resolution,[],[f1129,f738])). 1.17/1.38 tff(f3561,plain,( 1.17/1.38 ~$less($sum(1,sK2),sK2) | $less(length1(int,t2tb1(sK0)),0) | ~zero_at1(sK0,length1(int,t2tb1(sK0))) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1129,f690])). 1.17/1.38 tff(f3569,plain,( 1.17/1.38 ~$less(sK2,$sum(-1,-1)) | ~spl8_130), 1.17/1.38 inference(evaluation,[],[f3545])). 1.17/1.38 tff(f3570,plain,( 1.17/1.38 ~$less(sK2,-2) | ~spl8_130), 1.17/1.38 inference(evaluation,[],[f3569])). 1.17/1.38 tff(f3576,plain,( 1.17/1.38 ~$less($sum(1,5),length1(int,t2tb1(sK0))) | (~spl8_130 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3547,f2513])). 1.17/1.38 tff(f3577,plain,( 1.17/1.38 ~$less(6,length1(int,t2tb1(sK0))) | (~spl8_130 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3576])). 1.17/1.38 tff(f3578,plain,( 1.17/1.38 ~spl8_279 | ~spl8_130 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3577,f2512,f1068,f2929])). 1.17/1.38 tff(f3597,plain,( 1.17/1.38 ~$less($sum(1,sK2),$uminus(sK2)) | (~spl8_48 | ~spl8_130)), 1.17/1.38 inference(subsumption_resolution,[],[f3560,f197])). 1.17/1.38 tff(f3599,plain,( 1.17/1.38 $less($uminus(sK2),0) | ~zero_at1(sK0,$uminus(sK2)) | ~spl8_258), 1.17/1.38 inference(resolution,[],[f2695,f690])). 1.17/1.38 tff(f3600,plain,( 1.17/1.38 ( ! [X0:list_int] : ($less($uminus(sK2),0) | ~zero_at1(X0,sK2) | ~zero_at1(X0,$uminus(sK2))) ) | ~spl8_258), 1.17/1.38 inference(resolution,[],[f2695,f717])). 1.17/1.38 tff(f3604,plain,( 1.17/1.38 ~$less(sK2,$sum($uminus(sK2),1)) | ~spl8_258), 1.17/1.38 inference(resolution,[],[f2695,f72])). 1.17/1.38 tff(f3614,plain,( 1.17/1.38 ~$less(sK2,$sum(1,$uminus(sK2))) | ~spl8_258), 1.17/1.38 inference(forward_demodulation,[],[f3604,f55])). 1.17/1.38 tff(f3657,plain,( 1.17/1.38 ( ! [X0:$int] : (~$less(sK2,X0) | no_zero1(sK0) | $less(sK6(sK0),$sum(X0,1))) ) | ~spl8_3), 1.17/1.38 inference(resolution,[],[f1157,f531])). 1.17/1.38 tff(f3725,plain,( 1.17/1.38 $less(-5,sK6(sK0)) | sK6(sK0) = -5 | ~spl8_275), 1.17/1.38 inference(resolution,[],[f2877,f62])). 1.17/1.38 tff(f3726,plain,( 1.17/1.38 $less(-5,sK6(sK0)) | sK6(sK0) = -5 | ~spl8_275), 1.17/1.38 inference(resolution,[],[f2877,f62])). 1.17/1.38 tff(f3727,plain,( 1.17/1.38 $less(-5,$sum(sK6(sK0),1)) | ~spl8_275), 1.17/1.38 inference(resolution,[],[f2877,f64])). 1.17/1.38 tff(f3728,plain,( 1.17/1.38 $less($sum(-5,-1),sK6(sK0)) | ~spl8_275), 1.17/1.38 inference(evaluation,[],[f3727])). 1.17/1.38 tff(f3729,plain,( 1.17/1.38 $less(-6,sK6(sK0)) | ~spl8_275), 1.17/1.38 inference(evaluation,[],[f3728])). 1.17/1.38 tff(f3731,plain,( 1.17/1.38 spl8_338 <=> sK6(sK0) = -5), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_338])])). 1.17/1.38 tff(f3734,plain,( 1.17/1.38 spl8_340 <=> $less(-5,sK6(sK0))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_340])])). 1.17/1.38 tff(f3736,plain,( 1.17/1.38 spl8_338 | spl8_340 | spl8_275), 1.17/1.38 inference(avatar_split_clause,[],[f3725,f2876,f3734,f3731])). 1.17/1.38 tff(f3737,plain,( 1.17/1.38 spl8_338 | spl8_340 | spl8_275), 1.17/1.38 inference(avatar_split_clause,[],[f3726,f2876,f3734,f3731])). 1.17/1.38 tff(f3739,plain,( 1.17/1.38 spl8_342 <=> $less(-6,sK6(sK0))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_342])])). 1.17/1.38 tff(f3741,plain,( 1.17/1.38 spl8_342 | spl8_275), 1.17/1.38 inference(avatar_split_clause,[],[f3729,f2876,f3739])). 1.17/1.38 tff(f3790,plain,( 1.17/1.38 $less(0,$sum(1,$sum(sK2,$uminus(length1(int,t2tb1(sK0)))))) | ~spl8_130), 1.17/1.38 inference(superposition,[],[f1132,f59])). 1.17/1.38 tff(f3795,plain,( 1.17/1.38 $less($sum(length1(int,t2tb1(sK0)),length1(int,t2tb1(sK1))),$sum(1,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_130)), 1.17/1.38 inference(superposition,[],[f1132,f281])). 1.17/1.38 tff(f3797,plain,( 1.17/1.38 $less($sum(length1(int,t2tb1(sK0)),$uminus(sK2)),$sum(1,0)) | ~spl8_130), 1.17/1.38 inference(superposition,[],[f1132,f59])). 1.17/1.38 tff(f3802,plain,( 1.17/1.38 $less($sum(length1(int,t2tb1(sK0)),$uminus(sK2)),1) | ~spl8_130), 1.17/1.38 inference(evaluation,[],[f3797])). 1.17/1.38 tff(f3813,plain,( 1.17/1.38 $less(0,$sum(1,$sum(5,$uminus(length1(int,t2tb1(sK0)))))) | (~spl8_130 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3790,f2513])). 1.17/1.38 tff(f3814,plain,( 1.17/1.38 $less($sum($uminus(1),-5),$uminus(length1(int,t2tb1(sK0)))) | (~spl8_130 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3813])). 1.17/1.38 tff(f3815,plain,( 1.17/1.38 $less($sum(-1,-5),$uminus(length1(int,t2tb1(sK0)))) | (~spl8_130 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3814])). 1.17/1.38 tff(f3816,plain,( 1.17/1.38 $less(-6,$uminus(length1(int,t2tb1(sK0)))) | (~spl8_130 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3815])). 1.17/1.38 tff(f3818,plain,( 1.17/1.38 spl8_344 <=> $less(-6,$uminus(length1(int,t2tb1(sK0))))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_344])])). 1.17/1.38 tff(f3820,plain,( 1.17/1.38 spl8_344 | ~spl8_130 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3816,f2512,f1068,f3818])). 1.17/1.38 tff(f3824,plain,( 1.17/1.38 spl8_346 <=> $less($sum(length1(int,t2tb1(sK0)),length1(int,t2tb1(sK1))),$sum(1,length1(int,t2tb1(sK0))))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_346])])). 1.17/1.38 tff(f3826,plain,( 1.17/1.38 spl8_346 | ~spl8_18 | ~spl8_130), 1.17/1.38 inference(avatar_split_clause,[],[f3795,f1068,f280,f3824])). 1.17/1.38 tff(f3827,plain,( 1.17/1.38 $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),1) | ~spl8_130), 1.17/1.38 inference(forward_demodulation,[],[f3802,f55])). 1.17/1.38 tff(f3834,plain,( 1.17/1.38 $less(-4,sK6(sK0)) | sK6(sK0) = -4 | ~spl8_303), 1.17/1.38 inference(resolution,[],[f2992,f62])). 1.17/1.38 tff(f3835,plain,( 1.17/1.38 $less(-4,sK6(sK0)) | sK6(sK0) = -4 | ~spl8_303), 1.17/1.38 inference(resolution,[],[f2992,f62])). 1.17/1.38 tff(f3840,plain,( 1.17/1.38 spl8_348 <=> sK6(sK0) = -4), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_348])])). 1.17/1.38 tff(f3843,plain,( 1.17/1.38 spl8_350 <=> $less(-4,sK6(sK0))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_350])])). 1.17/1.38 tff(f3845,plain,( 1.17/1.38 spl8_348 | spl8_350 | spl8_303), 1.17/1.38 inference(avatar_split_clause,[],[f3834,f2991,f3843,f3840])). 1.17/1.38 tff(f3846,plain,( 1.17/1.38 spl8_348 | spl8_350 | spl8_303), 1.17/1.38 inference(avatar_split_clause,[],[f3835,f2991,f3843,f3840])). 1.17/1.38 tff(f3852,plain,( 1.17/1.38 ( ! [X10:$int] : (~zero_at1(sK0,X10) | ~$less(X10,length1(int,t2tb1(sK0))) | $less(X10,0) | ~$less($sum(1,sK2),sK2)) ) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f1138,f1129])). 1.17/1.38 tff(f3877,plain,( 1.17/1.38 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(sK2,X0) | ~$less(X1,sK6(sK0)) | no_zero1(sK0)) ) | ~spl8_3), 1.17/1.38 inference(resolution,[],[f1154,f530])). 1.17/1.38 tff(f3887,plain,( 1.17/1.38 ( ! [X17:$int] : (~$less(X17,$uminus(sK2)) | ~$less(sK2,X17) | ~$less(0,length1(int,t2tb1(sK0)))) ) | (~spl8_3 | ~spl8_48)), 1.17/1.38 inference(resolution,[],[f1154,f739])). 1.17/1.38 tff(f3888,plain,( 1.17/1.38 ( ! [X18:$int] : (~$less(X18,sK6(sK0)) | ~$less(sK2,X18) | no_zero1(sK0)) ) | ~spl8_3), 1.17/1.38 inference(resolution,[],[f1154,f194])). 1.17/1.38 tff(f3889,plain,( 1.17/1.38 ( ! [X19:$int] : (~$less(X19,sK6(tb2t1(t2tb1(sK0)))) | ~$less(sK2,X19) | no_zero1(tb2t1(t2tb1(sK0)))) ) | ~spl8_3), 1.17/1.38 inference(resolution,[],[f1154,f534])). 1.17/1.38 tff(f3900,plain,( 1.17/1.38 ( ! [X17:$int] : (~$less(X17,$uminus(5)) | ~$less(sK2,X17) | ~$less(0,length1(int,t2tb1(sK0)))) ) | (~spl8_3 | ~spl8_48 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3887,f2513])). 1.17/1.38 tff(f3901,plain,( 1.17/1.38 ( ! [X17:$int] : (~$less(X17,-5) | ~$less(sK2,X17) | ~$less(0,length1(int,t2tb1(sK0)))) ) | (~spl8_3 | ~spl8_48 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3900])). 1.17/1.38 tff(f3902,plain,( 1.17/1.38 ( ! [X17:$int] : (~$less(5,X17) | ~$less(X17,-5) | ~$less(0,length1(int,t2tb1(sK0)))) ) | (~spl8_3 | ~spl8_48 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3901,f2513])). 1.17/1.38 tff(f3904,plain,( 1.17/1.38 spl8_352 <=> ! [X17 : $int] : (~$less(5,X17) | ~$less(X17,-5))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_352])])). 1.17/1.38 tff(f3906,plain,( 1.17/1.38 ~spl8_295 | spl8_352 | spl8_3 | ~spl8_48 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3902,f2512,f483,f245,f3904,f2964])). 1.17/1.38 tff(f3907,plain,( 1.17/1.38 ( ! [X19:$int] : (~$less(X19,sK6(sK0)) | ~$less(sK2,X19) | no_zero1(tb2t1(t2tb1(sK0)))) ) | ~spl8_3), 1.17/1.38 inference(forward_demodulation,[],[f3889,f177])). 1.17/1.38 tff(f3910,plain,( 1.17/1.38 $less(sK2,$sum(1,$sum(sK2,$uminus(length1(int,t2tb1(sK1)))))) | (~spl8_130 | ~spl8_152)), 1.17/1.38 inference(superposition,[],[f1132,f1245])). 1.17/1.38 tff(f3911,plain,( 1.17/1.38 $less(sK2,$sum(sK2,$uminus(length1(int,t2tb1(sK1))))) | (~spl8_128 | ~spl8_152)), 1.17/1.38 inference(superposition,[],[f1121,f1245])). 1.17/1.38 tff(f3912,plain,( 1.17/1.38 $less($sum(sK6(sK0),$uminus(length1(int,t2tb1(sK1)))),sK2) | no_zero1(sK0) | ~spl8_152), 1.17/1.38 inference(superposition,[],[f532,f1245])). 1.17/1.38 tff(f3916,plain,( 1.17/1.38 $less(5,$sum(1,$sum(5,$uminus(length1(int,t2tb1(sK1)))))) | (~spl8_130 | ~spl8_152 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3910,f2513])). 1.17/1.38 tff(f3917,plain,( 1.17/1.38 $less($sum($sum(5,-1),-5),$uminus(length1(int,t2tb1(sK1)))) | (~spl8_130 | ~spl8_152 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3916])). 1.17/1.38 tff(f3918,plain,( 1.17/1.38 $less($sum(4,-5),$uminus(length1(int,t2tb1(sK1)))) | (~spl8_130 | ~spl8_152 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3917])). 1.17/1.38 tff(f3919,plain,( 1.17/1.38 $less(-1,$uminus(length1(int,t2tb1(sK1)))) | (~spl8_130 | ~spl8_152 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3918])). 1.17/1.38 tff(f3921,plain,( 1.17/1.38 spl8_354 <=> $less(-1,$uminus(length1(int,t2tb1(sK1))))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_354])])). 1.17/1.38 tff(f3923,plain,( 1.17/1.38 spl8_354 | ~spl8_130 | ~spl8_152 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3919,f2512,f1244,f1068,f3921])). 1.17/1.38 tff(f3924,plain,( 1.17/1.38 $less(5,$sum(5,$uminus(length1(int,t2tb1(sK1))))) | (~spl8_128 | ~spl8_152 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3911,f2513])). 1.17/1.38 tff(f3925,plain,( 1.17/1.38 $less($sum(5,-5),$uminus(length1(int,t2tb1(sK1)))) | (~spl8_128 | ~spl8_152 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3924])). 1.17/1.38 tff(f3926,plain,( 1.17/1.38 $less(0,$uminus(length1(int,t2tb1(sK1)))) | (~spl8_128 | ~spl8_152 | ~spl8_224)), 1.17/1.38 inference(evaluation,[],[f3925])). 1.17/1.38 tff(f3928,plain,( 1.17/1.38 spl8_356 <=> $less(0,$uminus(length1(int,t2tb1(sK1))))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_356])])). 1.17/1.38 tff(f3930,plain,( 1.17/1.38 spl8_356 | ~spl8_128 | ~spl8_152 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f3926,f2512,f1244,f1061,f3928])). 1.17/1.38 tff(f3935,plain,( 1.17/1.38 $less(-2,$sum(1,sK2)) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f873,f1128])). 1.17/1.38 tff(f3937,plain,( 1.17/1.38 ~$less(sK2,-2) | ~spl8_3), 1.17/1.38 inference(resolution,[],[f873,f1055])). 1.17/1.38 tff(f3949,plain,( 1.17/1.38 $less($sum(-2,-1),sK2) | ~spl8_130), 1.17/1.38 inference(evaluation,[],[f3935])). 1.17/1.38 tff(f3950,plain,( 1.17/1.38 $less(-3,sK2) | ~spl8_130), 1.17/1.38 inference(evaluation,[],[f3949])). 1.17/1.38 tff(f3958,plain,( 1.17/1.38 ~$less(sK6(sK0),$sum(2,1)) | ~spl8_312), 1.17/1.38 inference(resolution,[],[f3203,f72])). 1.17/1.38 tff(f3959,plain,( 1.17/1.38 ~$less(sK6(sK0),3) | ~spl8_312), 1.17/1.38 inference(evaluation,[],[f3958])). 1.17/1.38 tff(f3962,plain,( 1.17/1.38 spl8_359 <=> ~$less(sK6(sK0),3)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_359])])). 1.17/1.38 tff(f3964,plain,( 1.17/1.38 ~spl8_359 | ~spl8_312), 1.17/1.38 inference(avatar_split_clause,[],[f3959,f3202,f3962])). 1.17/1.38 tff(f3965,plain,( 1.17/1.38 ~$less($sum(1,sK2),-2) | ~spl8_130), 1.17/1.38 inference(resolution,[],[f895,f1129])). 1.17/1.38 tff(f3966,plain,( 1.17/1.38 ~$less(sK2,-2) | ~spl8_128), 1.17/1.38 inference(resolution,[],[f895,f1120])). 1.17/1.38 tff(f3977,plain,( 1.17/1.38 ~$less(sK2,$sum(-2,-1)) | ~spl8_130), 1.17/1.38 inference(evaluation,[],[f3965])). 1.17/1.38 tff(f3978,plain,( 1.17/1.38 ~$less(sK2,-3) | ~spl8_130), 1.17/1.38 inference(evaluation,[],[f3977])). 1.17/1.38 tff(f3986,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK2),sK2) | $less(sK7(sK0,sK2),0) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f162,f977])). 1.17/1.38 tff(f3987,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,sK2)),t2tb1(sK0))) | zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f219,f977])). 1.17/1.38 tff(f3988,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | $less(sK7(sK0,sK2),0) | ~no_zero1(sK0) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f196,f977])). 1.17/1.38 tff(f3989,plain,( 1.17/1.38 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK2),X0) | $less(sK7(sK0,sK2),0) | ~zero_at1(sK0,X0)) ) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f216,f977])). 1.17/1.38 tff(f3990,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,sK7(sK0,sK2)),sK7(sK0,sK2)) | zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f218,f977])). 1.17/1.38 tff(f3991,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK7(sK0,sK2)),0) | zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f217,f977])). 1.17/1.38 tff(f3992,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f758,f977])). 1.17/1.38 tff(f3993,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | $less(sK7(sK0,sK2),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f729,f977])). 1.17/1.38 tff(f3994,plain,( 1.17/1.38 ( ! [X1:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK2),X1) | $less(sK7(sK0,sK2),0) | ~zero_at1(tb2t1(t2tb1(sK0)),X1)) ) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f713,f977])). 1.17/1.38 tff(f3995,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)),sK7(sK0,sK2)) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f706,f977])). 1.17/1.38 tff(f3996,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f699,f977])). 1.17/1.38 tff(f3997,plain,( 1.17/1.38 nth1(int,sK7(sK0,sK2),t2tb1(sK0)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_112), 1.17/1.38 inference(superposition,[],[f179,f977])). 1.17/1.38 tff(f3998,plain,( 1.17/1.38 ~$less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3996])). 1.17/1.38 tff(f3999,plain,( 1.17/1.38 $less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)),sK7(sK0,sK2)) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3995])). 1.17/1.38 tff(f4000,plain,( 1.17/1.38 ( ! [X1:$int] : (~$less(sK7(sK0,sK2),X1) | $less(sK7(sK0,sK2),0) | ~zero_at1(tb2t1(t2tb1(sK0)),X1)) ) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3994])). 1.17/1.38 tff(f4001,plain,( 1.17/1.38 ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | $less(sK7(sK0,sK2),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3993])). 1.17/1.38 tff(f4002,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3992])). 1.17/1.38 tff(f4003,plain,( 1.17/1.38 ~$less(sK7(sK0,sK7(sK0,sK2)),0) | zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3991])). 1.17/1.38 tff(f4004,plain,( 1.17/1.38 $less(sK7(sK0,sK7(sK0,sK2)),sK7(sK0,sK2)) | zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3990])). 1.17/1.38 tff(f4005,plain,( 1.17/1.38 ( ! [X0:$int] : (~$less(sK7(sK0,sK2),X0) | $less(sK7(sK0,sK2),0) | ~zero_at1(sK0,X0)) ) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3989])). 1.17/1.38 tff(f4006,plain,( 1.17/1.38 ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | $less(sK7(sK0,sK2),0) | ~no_zero1(sK0) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3988])). 1.17/1.38 tff(f4007,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,sK2)),t2tb1(sK0))) | zero_at1(sK0,sK7(sK0,sK2)) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3987])). 1.17/1.38 tff(f4008,plain,( 1.17/1.38 ~$less(sK7(sK0,sK2),sK2) | $less(sK7(sK0,sK2),0) | ~spl8_112), 1.17/1.38 inference(trivial_inequality_removal,[],[f3986])). 1.17/1.38 tff(f4009,plain,( 1.17/1.38 $less(sK7(sK0,sK2),0) | (~spl8_110 | ~spl8_112)), 1.17/1.38 inference(subsumption_resolution,[],[f4008,f972])). 1.17/1.38 tff(f4010,plain,( 1.17/1.38 $false | (~spl8_109 | ~spl8_110 | ~spl8_112)), 1.17/1.38 inference(subsumption_resolution,[],[f4009,f968])). 1.17/1.38 tff(f4011,plain,( 1.17/1.38 spl8_109 | ~spl8_110 | ~spl8_112), 1.17/1.38 inference(avatar_contradiction_clause,[],[f4010])). 1.17/1.38 tff(f4012,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,sK2)),t2tb1(sK0))) | (~spl8_112 | ~spl8_251)), 1.17/1.38 inference(subsumption_resolution,[],[f4007,f2644])). 1.17/1.38 tff(f4013,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,5)),t2tb1(sK0))) | (~spl8_112 | ~spl8_224 | ~spl8_251)), 1.17/1.38 inference(forward_demodulation,[],[f4012,f2513])). 1.17/1.38 tff(f4015,plain,( 1.17/1.38 spl8_360 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,5)),t2tb1(sK0)))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_360])])). 1.17/1.38 tff(f4017,plain,( 1.17/1.38 spl8_360 | ~spl8_112 | ~spl8_224 | spl8_251), 1.17/1.38 inference(avatar_split_clause,[],[f4013,f2643,f2512,f976,f4015])). 1.17/1.38 tff(f4018,plain,( 1.17/1.38 ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | (~spl8_109 | ~spl8_112)), 1.17/1.38 inference(subsumption_resolution,[],[f4006,f968])). 1.17/1.38 tff(f4019,plain,( 1.17/1.38 ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_109 | ~spl8_112)), 1.17/1.38 inference(subsumption_resolution,[],[f4018,f668])). 1.17/1.38 tff(f4020,plain,( 1.17/1.38 ~$less(sK7(sK0,5),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_109 | ~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4019,f2513])). 1.17/1.38 tff(f4022,plain,( 1.17/1.38 spl8_363 <=> ~$less(sK7(sK0,5),length1(int,t2tb1(sK0)))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_363])])). 1.17/1.38 tff(f4024,plain,( 1.17/1.38 ~spl8_363 | ~spl8_8 | spl8_109 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4020,f2512,f976,f967,f667,f4022])). 1.17/1.38 tff(f4027,plain,( 1.17/1.38 $less(sK7(sK0,sK7(sK0,sK2)),sK7(sK0,sK2)) | (~spl8_112 | ~spl8_251)), 1.17/1.38 inference(subsumption_resolution,[],[f4004,f2644])). 1.17/1.38 tff(f4028,plain,( 1.17/1.38 $less(sK7(sK0,sK7(sK0,5)),sK7(sK0,5)) | (~spl8_112 | ~spl8_224 | ~spl8_251)), 1.17/1.38 inference(forward_demodulation,[],[f4027,f2513])). 1.17/1.38 tff(f4030,plain,( 1.17/1.38 spl8_364 <=> $less(sK7(sK0,sK7(sK0,5)),sK7(sK0,5))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_364])])). 1.17/1.38 tff(f4032,plain,( 1.17/1.38 spl8_364 | ~spl8_112 | ~spl8_224 | spl8_251), 1.17/1.38 inference(avatar_split_clause,[],[f4028,f2643,f2512,f976,f4030])). 1.17/1.38 tff(f4033,plain,( 1.17/1.38 ~$less(sK7(sK0,sK7(sK0,sK2)),0) | (~spl8_112 | ~spl8_251)), 1.17/1.38 inference(subsumption_resolution,[],[f4003,f2644])). 1.17/1.38 tff(f4034,plain,( 1.17/1.38 ~$less(sK7(sK0,sK7(sK0,5)),0) | (~spl8_112 | ~spl8_224 | ~spl8_251)), 1.17/1.38 inference(forward_demodulation,[],[f4033,f2513])). 1.17/1.38 tff(f4036,plain,( 1.17/1.38 spl8_367 <=> ~$less(sK7(sK0,sK7(sK0,5)),0)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_367])])). 1.17/1.38 tff(f4038,plain,( 1.17/1.38 ~spl8_367 | ~spl8_112 | ~spl8_224 | spl8_251), 1.17/1.38 inference(avatar_split_clause,[],[f4034,f2643,f2512,f976,f4036])). 1.17/1.38 tff(f4039,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK7(sK0,5)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4002,f2513])). 1.17/1.38 tff(f4040,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,5)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4039,f177])). 1.17/1.38 tff(f4041,plain,( 1.17/1.38 zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,5)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,5)),t2tb1(sK0))) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4040,f2513])). 1.17/1.38 tff(f4042,plain,( 1.17/1.38 zero_at1(sK0,sK7(sK0,5)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,5)),t2tb1(sK0))) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4041,f177])). 1.17/1.38 tff(f4044,plain,( 1.17/1.38 spl8_368 <=> zero_at1(sK0,sK7(sK0,5))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_368])])). 1.17/1.38 tff(f4046,plain,( 1.17/1.38 spl8_360 | spl8_368 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4042,f2512,f976,f4044,f4015])). 1.17/1.38 tff(f4047,plain,( 1.17/1.38 ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | ~no_zero1(tb2t1(t2tb1(sK0))) | (~spl8_109 | ~spl8_112)), 1.17/1.38 inference(subsumption_resolution,[],[f4001,f968])). 1.17/1.38 tff(f4048,plain,( 1.17/1.38 ~$less(sK7(sK0,5),length1(int,t2tb1(sK0))) | ~no_zero1(tb2t1(t2tb1(sK0))) | (~spl8_109 | ~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4047,f2513])). 1.17/1.38 tff(f4049,plain,( 1.17/1.38 ~no_zero1(sK0) | ~$less(sK7(sK0,5),length1(int,t2tb1(sK0))) | (~spl8_109 | ~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4048,f177])). 1.17/1.38 tff(f4050,plain,( 1.17/1.38 ~$less(sK7(sK0,5),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_109 | ~spl8_112 | ~spl8_224)), 1.17/1.38 inference(subsumption_resolution,[],[f4049,f668])). 1.17/1.38 tff(f4051,plain,( 1.17/1.38 ~spl8_363 | ~spl8_8 | spl8_109 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4050,f2512,f976,f967,f667,f4022])). 1.17/1.38 tff(f4055,plain,( 1.17/1.38 $less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,5)),sK7(sK0,5)) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3999,f2513])). 1.17/1.38 tff(f4056,plain,( 1.17/1.38 $less(sK7(sK0,sK7(sK0,5)),sK7(sK0,5)) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4055,f177])). 1.17/1.38 tff(f4057,plain,( 1.17/1.38 zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,5)) | $less(sK7(sK0,sK7(sK0,5)),sK7(sK0,5)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4056,f2513])). 1.17/1.38 tff(f4058,plain,( 1.17/1.38 zero_at1(sK0,sK7(sK0,5)) | $less(sK7(sK0,sK7(sK0,5)),sK7(sK0,5)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4057,f177])). 1.17/1.38 tff(f4059,plain,( 1.17/1.38 spl8_364 | spl8_368 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4058,f2512,f976,f4044,f4030])). 1.17/1.38 tff(f4060,plain,( 1.17/1.38 ~$less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,5)),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3998,f2513])). 1.17/1.38 tff(f4061,plain,( 1.17/1.38 ~$less(sK7(sK0,sK7(sK0,5)),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4060,f177])). 1.17/1.38 tff(f4062,plain,( 1.17/1.38 zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,5)) | ~$less(sK7(sK0,sK7(sK0,5)),0) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4061,f2513])). 1.17/1.38 tff(f4063,plain,( 1.17/1.38 zero_at1(sK0,sK7(sK0,5)) | ~$less(sK7(sK0,sK7(sK0,5)),0) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4062,f177])). 1.17/1.38 tff(f4064,plain,( 1.17/1.38 ~spl8_367 | spl8_368 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4063,f2512,f976,f4044,f4036])). 1.17/1.38 tff(f4065,plain,( 1.17/1.38 some(int,t2tb2(0)) = nth1(int,sK7(sK0,sK2),t2tb1(sK0)) | ~spl8_112), 1.17/1.38 inference(forward_demodulation,[],[f3997,f179])). 1.17/1.38 tff(f4066,plain,( 1.17/1.38 some(int,t2tb2(0)) = nth1(int,sK7(sK0,5),t2tb1(sK0)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4065,f2513])). 1.17/1.38 tff(f4068,plain,( 1.17/1.38 spl8_370 <=> some(int,t2tb2(0)) = nth1(int,sK7(sK0,5),t2tb1(sK0))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_370])])). 1.17/1.38 tff(f4070,plain,( 1.17/1.38 spl8_370 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4066,f2512,f976,f4068])). 1.17/1.38 tff(f4071,plain,( 1.17/1.38 ~$less(sK7(sK0,sK2),sK2) | (~spl8_109 | ~spl8_112)), 1.17/1.38 inference(subsumption_resolution,[],[f4008,f968])). 1.17/1.38 tff(f4072,plain,( 1.17/1.38 ~$less(sK7(sK0,5),5) | (~spl8_109 | ~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4071,f2513])). 1.17/1.38 tff(f4074,plain,( 1.17/1.38 spl8_309 <=> ~$less(sK7(sK0,5),5)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_309])])). 1.17/1.38 tff(f4076,plain,( 1.17/1.38 ~spl8_309 | spl8_109 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4072,f2512,f976,f967,f4074])). 1.17/1.38 tff(f4077,plain,( 1.17/1.38 $less(sK7(sK0,5),5) | zero_at1(sK0,sK2) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3372,f2513])). 1.17/1.38 tff(f4078,plain,( 1.17/1.38 zero_at1(sK0,5) | $less(sK7(sK0,5),5) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4077,f2513])). 1.17/1.38 tff(f4080,plain,( 1.17/1.38 spl8_230 <=> zero_at1(sK0,5)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_230])])). 1.17/1.38 tff(f4081,plain,( 1.17/1.38 zero_at1(sK0,5) | ~spl8_230), 1.17/1.38 inference(avatar_component_clause,[],[f4080])). 1.17/1.38 tff(f4082,plain,( 1.17/1.38 spl8_308 | spl8_230 | ~spl8_106 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4078,f2512,f963,f4080,f3128])). 1.17/1.38 tff(f4083,plain,( 1.17/1.38 $less(sK7(sK0,5),5) | zero_at1(sK0,sK2) | (~spl8_94 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3314,f2513])). 1.17/1.38 tff(f4084,plain,( 1.17/1.38 zero_at1(sK0,5) | $less(sK7(sK0,5),5) | (~spl8_94 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4083,f2513])). 1.17/1.38 tff(f4085,plain,( 1.17/1.38 spl8_308 | spl8_230 | ~spl8_94 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4084,f2512,f843,f4080,f3128])). 1.17/1.38 tff(f4086,plain,( 1.17/1.38 $less(sK7(sK0,5),5) | zero_at1(tb2t1(t2tb1(sK0)),sK2) | (~spl8_46 | ~spl8_94 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f2329,f2513])). 1.17/1.38 tff(f4087,plain,( 1.17/1.38 zero_at1(tb2t1(t2tb1(sK0)),5) | $less(sK7(sK0,5),5) | (~spl8_46 | ~spl8_94 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4086,f2513])). 1.17/1.38 tff(f4088,plain,( 1.17/1.38 zero_at1(sK0,5) | $less(sK7(sK0,5),5) | (~spl8_46 | ~spl8_94 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4087,f177])). 1.17/1.38 tff(f4089,plain,( 1.17/1.38 spl8_308 | spl8_230 | ~spl8_46 | ~spl8_94 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4088,f2512,f843,f479,f4080,f3128])). 1.17/1.38 tff(f4090,plain,( 1.17/1.38 ~$less(sK7(sK0,sK7(sK0,5)),0) | zero_at1(sK0,sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4003,f2513])). 1.17/1.38 tff(f4091,plain,( 1.17/1.38 zero_at1(sK0,sK7(sK0,5)) | ~$less(sK7(sK0,sK7(sK0,5)),0) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4090,f2513])). 1.17/1.38 tff(f4092,plain,( 1.17/1.38 ~spl8_367 | spl8_368 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4091,f2512,f976,f4044,f4036])). 1.17/1.38 tff(f4093,plain,( 1.17/1.38 $less(sK7(sK0,sK7(sK0,5)),sK7(sK0,5)) | zero_at1(sK0,sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4004,f2513])). 1.17/1.38 tff(f4094,plain,( 1.17/1.38 zero_at1(sK0,sK7(sK0,5)) | $less(sK7(sK0,sK7(sK0,5)),sK7(sK0,5)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4093,f2513])). 1.17/1.38 tff(f4095,plain,( 1.17/1.38 spl8_364 | spl8_368 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4094,f2512,f976,f4044,f4030])). 1.17/1.38 tff(f4096,plain,( 1.17/1.38 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,5)),t2tb1(sK0))) | zero_at1(sK0,sK7(sK0,sK2)) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4007,f2513])). 1.17/1.38 tff(f4097,plain,( 1.17/1.38 zero_at1(sK0,sK7(sK0,5)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,5)),t2tb1(sK0))) | (~spl8_112 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4096,f2513])). 1.17/1.38 tff(f4098,plain,( 1.17/1.38 spl8_360 | spl8_368 | ~spl8_112 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4097,f2512,f976,f4044,f4015])). 1.17/1.38 tff(f4099,plain,( 1.17/1.38 zero_at1(tb2t1(t2tb1(sK0)),5) | $less(sK7(sK0,5),5) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f3394,f2513])). 1.17/1.38 tff(f4100,plain,( 1.17/1.38 zero_at1(sK0,5) | $less(sK7(sK0,5),5) | (~spl8_106 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4099,f177])). 1.17/1.38 tff(f4101,plain,( 1.17/1.38 spl8_308 | spl8_230 | ~spl8_106 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4100,f2512,f963,f4080,f3128])). 1.17/1.38 tff(f4102,plain,( 1.17/1.38 zero_at1(sK0,5) | (~spl8_0 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f1046,f2513])). 1.17/1.38 tff(f4103,plain,( 1.17/1.38 spl8_230 | ~spl8_0 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4102,f2512,f1045,f4080])). 1.17/1.38 tff(f4110,plain,( 1.17/1.38 ( ! [X5:$int] : (~$less(X5,sK2) | $less($sum(length1(int,t2tb1(sK1)),X5),0) | ~no_zero1(sK0) | ~zero_at1(sK0,$sum(length1(int,t2tb1(sK1)),X5))) ) | ~spl8_18), 1.17/1.38 inference(resolution,[],[f1216,f728])). 1.17/1.38 tff(f4116,plain,( 1.17/1.38 $less(0,length1(int,t2tb1(sK0))) | ~$less($uminus(length1(int,t2tb1(sK1))),sK2) | ~spl8_18), 1.17/1.38 inference(superposition,[],[f1216,f59])). 1.17/1.38 tff(f4117,plain,( 1.17/1.38 $less(length1(int,t2tb1(sK1)),length1(int,t2tb1(sK0))) | ~$less(0,sK2) | ~spl8_18), 1.17/1.38 inference(superposition,[],[f1216,f57])). 1.17/1.38 tff(f4138,plain,( 1.17/1.38 ~$less($uminus(length1(int,t2tb1(sK1))),5) | $less(0,length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_224)), 1.17/1.38 inference(forward_demodulation,[],[f4116,f2513])). 1.17/1.38 tff(f4140,plain,( 1.17/1.38 spl8_294 <=> $less(0,length1(int,t2tb1(sK0)))), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_294])])). 1.17/1.38 tff(f4141,plain,( 1.17/1.38 $less(0,length1(int,t2tb1(sK0))) | ~spl8_294), 1.17/1.38 inference(avatar_component_clause,[],[f4140])). 1.17/1.38 tff(f4143,plain,( 1.17/1.38 spl8_373 <=> ~$less($uminus(length1(int,t2tb1(sK1))),5)), 1.17/1.38 introduced(avatar_definition,[new_symbols(naming,[spl8_373])])). 1.17/1.38 tff(f4145,plain,( 1.17/1.38 spl8_294 | ~spl8_373 | ~spl8_18 | ~spl8_224), 1.17/1.38 inference(avatar_split_clause,[],[f4138,f2512,f280,f4143,f4140])). 1.17/1.38 tff(f4146,plain,( 1.17/1.38 ( ! [X0:$int] : (~$less(sK2,X0) | no_zero1(sK0) | $less(sK6(sK0),$sum(length1(int,t2tb1(sK1)),X0))) ) | ~spl8_18), 1.17/1.39 inference(resolution,[],[f1226,f531])). 1.17/1.39 tff(f4148,plain,( 1.17/1.39 ~$less(sK2,1) | ~$less(length1(int,t2tb1(sK1)),length1(int,t2tb1(sK0))) | ~spl8_18), 1.17/1.39 inference(resolution,[],[f1226,f72])). 1.17/1.39 tff(f4154,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),0) | ~$less(sK2,$uminus(length1(int,t2tb1(sK1)))) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1226,f59])). 1.17/1.39 tff(f4167,plain,( 1.17/1.39 ~$less(sK2,$uminus(length1(int,t2tb1(sK1)))) | ~spl8_18), 1.17/1.39 inference(subsumption_resolution,[],[f4154,f197])). 1.17/1.39 tff(f4168,plain,( 1.17/1.39 ~$less(5,$uminus(length1(int,t2tb1(sK1)))) | (~spl8_18 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4167,f2513])). 1.17/1.39 tff(f4170,plain,( 1.17/1.39 spl8_375 <=> ~$less(5,$uminus(length1(int,t2tb1(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_375])])). 1.17/1.39 tff(f4172,plain,( 1.17/1.39 ~spl8_375 | ~spl8_18 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4168,f2512,f280,f4170])). 1.17/1.39 tff(f4174,plain,( 1.17/1.39 ( ! [X0:$int] : (~zero_at1(sK0,length1(int,t2tb1(sK0))) | $less(length1(int,t2tb1(sK1)),0) | ~zero_at1(sK1,X0) | ~$less(length1(int,t2tb1(sK1)),X0)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1352,f281])). 1.17/1.39 tff(f4176,plain,( 1.17/1.39 ( ! [X3:$int] : (~zero_at1(sK0,0) | $less($uminus(sK2),0) | ~zero_at1(sK1,X3) | ~$less($uminus(sK2),X3)) )), 1.17/1.39 inference(superposition,[],[f1352,f59])). 1.17/1.39 tff(f4183,plain,( 1.17/1.39 ( ! [X0:$int] : (~zero_at1(sK0,$sum(sK2,X0)) | $less(X0,0) | ~$less(X0,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_170), 1.17/1.39 inference(resolution,[],[f1367,f530])). 1.17/1.39 tff(f4188,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK0)))) | $less(length1(int,t2tb1(sK0)),0) | ~$less($sum(1,sK2),length1(int,t2tb1(sK1))) | (~spl8_130 | ~spl8_170)), 1.17/1.39 inference(resolution,[],[f1367,f1129])). 1.17/1.39 tff(f4189,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK0)))) | $less(length1(int,t2tb1(sK0)),0) | ~$less(sK2,length1(int,t2tb1(sK1))) | (~spl8_128 | ~spl8_170)), 1.17/1.39 inference(resolution,[],[f1367,f1120])). 1.17/1.39 tff(f4190,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,0)) | $less(0,0) | length1(int,t2tb1(sK1)) = 0 | ~spl8_170), 1.17/1.39 inference(resolution,[],[f1367,f381])). 1.17/1.39 tff(f4191,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,$sum($uminus(sK2),length1(int,t2tb1(sK1))))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_48 | ~spl8_170)), 1.17/1.39 inference(resolution,[],[f1367,f745])). 1.17/1.39 tff(f4193,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,sK6(sK1))) | $less(sK6(sK1),0) | no_zero1(sK1) | ~spl8_170), 1.17/1.39 inference(resolution,[],[f1367,f194])). 1.17/1.39 tff(f4194,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_170), 1.17/1.39 inference(resolution,[],[f1367,f534])). 1.17/1.39 tff(f4197,plain,( 1.17/1.39 ~zero_at1(sK0,sK2) | length1(int,t2tb1(sK1)) = 0 | ~spl8_170), 1.17/1.39 inference(evaluation,[],[f4190])). 1.17/1.39 tff(f4202,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK0)))) | ~$less($sum(1,sK2),length1(int,t2tb1(sK1))) | (~spl8_130 | ~spl8_170)), 1.17/1.39 inference(subsumption_resolution,[],[f4188,f197])). 1.17/1.39 tff(f4203,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(5,length1(int,t2tb1(sK0)))) | ~$less($sum(1,sK2),length1(int,t2tb1(sK1))) | (~spl8_130 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4202,f2513])). 1.17/1.39 tff(f4204,plain,( 1.17/1.39 ~$less($sum(1,5),length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(5,length1(int,t2tb1(sK0)))) | (~spl8_130 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4203,f2513])). 1.17/1.39 tff(f4205,plain,( 1.17/1.39 ~$less(6,length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(5,length1(int,t2tb1(sK0)))) | (~spl8_130 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4204])). 1.17/1.39 tff(f4207,plain,( 1.17/1.39 spl8_377 <=> ~zero_at1(sK0,$sum(5,length1(int,t2tb1(sK0))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_377])])). 1.17/1.39 tff(f4210,plain,( 1.17/1.39 spl8_379 <=> ~$less(6,length1(int,t2tb1(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_379])])). 1.17/1.39 tff(f4212,plain,( 1.17/1.39 ~spl8_377 | ~spl8_379 | ~spl8_130 | ~spl8_170 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4205,f2512,f1366,f1068,f4210,f4207])). 1.17/1.39 tff(f4213,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,length1(int,t2tb1(sK0)))) | ~$less(sK2,length1(int,t2tb1(sK1))) | (~spl8_128 | ~spl8_170)), 1.17/1.39 inference(subsumption_resolution,[],[f4189,f197])). 1.17/1.39 tff(f4214,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(5,length1(int,t2tb1(sK0)))) | ~$less(sK2,length1(int,t2tb1(sK1))) | (~spl8_128 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4213,f2513])). 1.17/1.39 tff(f4215,plain,( 1.17/1.39 ~$less(5,length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(5,length1(int,t2tb1(sK0)))) | (~spl8_128 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4214,f2513])). 1.17/1.39 tff(f4217,plain,( 1.17/1.39 spl8_381 <=> ~$less(5,length1(int,t2tb1(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_381])])). 1.17/1.39 tff(f4219,plain,( 1.17/1.39 ~spl8_377 | ~spl8_381 | ~spl8_128 | ~spl8_170 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4215,f2512,f1366,f1061,f4217,f4207])). 1.17/1.39 tff(f4220,plain,( 1.17/1.39 ~zero_at1(sK0,5) | length1(int,t2tb1(sK1)) = 0 | (~spl8_170 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4197,f2513])). 1.17/1.39 tff(f4221,plain,( 1.17/1.39 length1(int,t2tb1(sK1)) = 0 | (~spl8_170 | ~spl8_224 | ~spl8_230)), 1.17/1.39 inference(subsumption_resolution,[],[f4220,f4081])). 1.17/1.39 tff(f4223,plain,( 1.17/1.39 spl8_382 <=> length1(int,t2tb1(sK1)) = 0), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_382])])). 1.17/1.39 tff(f4225,plain,( 1.17/1.39 spl8_382 | ~spl8_170 | ~spl8_224 | ~spl8_230), 1.17/1.39 inference(avatar_split_clause,[],[f4221,f4080,f2512,f1366,f4223])). 1.17/1.39 tff(f4226,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(length1(int,t2tb1(sK0)),$uminus(sK2))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170)), 1.17/1.39 inference(forward_demodulation,[],[f4191,f1234])). 1.17/1.39 tff(f4227,plain,( 1.17/1.39 ~zero_at1(sK0,$sum($uminus(sK2),length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170)), 1.17/1.39 inference(forward_demodulation,[],[f4226,f55])). 1.17/1.39 tff(f4228,plain,( 1.17/1.39 ~zero_at1(sK0,$sum($uminus(5),length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4227,f2513])). 1.17/1.39 tff(f4229,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(-5,length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4228])). 1.17/1.39 tff(f4230,plain,( 1.17/1.39 $less($sum($uminus(5),length1(int,t2tb1(sK1))),0) | ~zero_at1(sK0,$sum(-5,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4229,f2513])). 1.17/1.39 tff(f4231,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK1)),$uminus(-5)) | ~zero_at1(sK0,$sum(-5,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4230])). 1.17/1.39 tff(f4232,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK1)),5) | ~zero_at1(sK0,$sum(-5,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4231])). 1.17/1.39 tff(f4234,plain,( 1.17/1.39 spl8_385 <=> ~zero_at1(sK0,$sum(-5,length1(int,t2tb1(sK0))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_385])])). 1.17/1.39 tff(f4237,plain,( 1.17/1.39 spl8_386 <=> $less(length1(int,t2tb1(sK1)),5)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_386])])). 1.17/1.39 tff(f4239,plain,( 1.17/1.39 ~spl8_385 | spl8_386 | ~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4232,f2512,f1366,f483,f280,f4237,f4234])). 1.17/1.39 tff(f4240,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,sK6(tb2t1(t2tb1(sK1))))) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_170), 1.17/1.39 inference(subsumption_resolution,[],[f4194,f193])). 1.17/1.39 tff(f4241,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(tb2t1(t2tb1(sK1))) | ~spl8_170), 1.17/1.39 inference(forward_demodulation,[],[f4240,f177])). 1.17/1.39 tff(f4244,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_134), 1.17/1.39 inference(subsumption_resolution,[],[f2396,f703])). 1.17/1.39 tff(f4245,plain,( 1.17/1.39 ~$less($sum(5,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | (~spl8_134 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4244,f2513])). 1.17/1.39 tff(f4247,plain,( 1.17/1.39 spl8_388 <=> zero_at1(sK1,sK6(sK1))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_388])])). 1.17/1.39 tff(f4250,plain,( 1.17/1.39 spl8_391 <=> ~$less($sum(5,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_391])])). 1.17/1.39 tff(f4252,plain,( 1.17/1.39 spl8_168 | spl8_388 | ~spl8_391 | ~spl8_134 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4245,f2512,f1080,f4250,f4247,f2113])). 1.17/1.39 tff(f4253,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(subsumption_resolution,[],[f2397,f703])). 1.17/1.39 tff(f4254,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(5,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4253,f2513])). 1.17/1.39 tff(f4256,plain,( 1.17/1.39 spl8_392 <=> ! [X7 : $int] : (~$less($sum(5,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_392])])). 1.17/1.39 tff(f4258,plain,( 1.17/1.39 spl8_168 | spl8_388 | spl8_392 | ~spl8_24 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4254,f2512,f297,f4256,f4247,f2113])). 1.17/1.39 tff(f4259,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.17/1.39 inference(subsumption_resolution,[],[f2398,f703])). 1.17/1.39 tff(f4260,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_224), 1.17/1.39 inference(forward_demodulation,[],[f4259,f2513])). 1.17/1.39 tff(f4261,plain,( 1.17/1.39 zero_at1(sK0,$sum(5,sK7(sK1,sK6(sK1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_224), 1.17/1.39 inference(forward_demodulation,[],[f4260,f2513])). 1.17/1.39 tff(f4263,plain,( 1.17/1.39 spl8_394 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_394])])). 1.17/1.39 tff(f4266,plain,( 1.17/1.39 spl8_396 <=> zero_at1(sK0,$sum(5,sK7(sK1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_396])])). 1.17/1.39 tff(f4268,plain,( 1.17/1.39 spl8_168 | spl8_388 | spl8_394 | spl8_396 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4261,f2512,f4266,f4263,f4247,f2113])). 1.17/1.39 tff(f4269,plain,( 1.17/1.39 $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.17/1.39 inference(subsumption_resolution,[],[f2399,f703])). 1.17/1.39 tff(f4270,plain,( 1.17/1.39 $less(sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),$sum(5,sK7(sK1,sK6(sK1)))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_224), 1.17/1.39 inference(forward_demodulation,[],[f4269,f2513])). 1.17/1.39 tff(f4271,plain,( 1.17/1.39 zero_at1(sK0,$sum(5,sK7(sK1,sK6(sK1)))) | $less(sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),$sum(5,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_224), 1.17/1.39 inference(forward_demodulation,[],[f4270,f2513])). 1.17/1.39 tff(f4273,plain,( 1.17/1.39 spl8_398 <=> $less(sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),$sum(5,sK7(sK1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_398])])). 1.17/1.39 tff(f4275,plain,( 1.17/1.39 spl8_168 | spl8_388 | spl8_398 | spl8_396 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4271,f2512,f4266,f4273,f4247,f2113])). 1.17/1.39 tff(f4276,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)), 1.17/1.39 inference(subsumption_resolution,[],[f2400,f703])). 1.17/1.39 tff(f4277,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),0) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_224), 1.17/1.39 inference(forward_demodulation,[],[f4276,f2513])). 1.17/1.39 tff(f4278,plain,( 1.17/1.39 zero_at1(sK0,$sum(5,sK7(sK1,sK6(sK1)))) | ~$less(sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_224), 1.17/1.39 inference(forward_demodulation,[],[f4277,f2513])). 1.17/1.39 tff(f4280,plain,( 1.17/1.39 spl8_401 <=> ~$less(sK7(sK0,$sum(5,sK7(sK1,sK6(sK1)))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_401])])). 1.17/1.39 tff(f4282,plain,( 1.17/1.39 spl8_168 | spl8_388 | ~spl8_401 | spl8_396 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4278,f2512,f4266,f4280,f4247,f2113])). 1.17/1.39 tff(f4283,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),sK2) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_24), 1.17/1.39 inference(subsumption_resolution,[],[f2401,f784])). 1.17/1.39 tff(f4284,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),sK2) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl8_24), 1.17/1.39 inference(subsumption_resolution,[],[f4283,f703])). 1.17/1.39 tff(f4288,plain,( 1.17/1.39 ( ! [X2:$int] : (~no_zero1(sK1) | ~$less(X2,length1(int,t2tb1(sK1))) | $less(X2,0) | ~zero_at1(sK0,$sum(sK2,X2))) )), 1.17/1.39 inference(forward_demodulation,[],[f2437,f177])). 1.17/1.39 tff(f4289,plain,( 1.17/1.39 ( ! [X2:$int] : (~zero_at1(sK0,$sum(5,X2)) | ~no_zero1(sK1) | ~$less(X2,length1(int,t2tb1(sK1))) | $less(X2,0)) ) | ~spl8_224), 1.17/1.39 inference(forward_demodulation,[],[f4288,f2513])). 1.17/1.39 tff(f4291,plain,( 1.17/1.39 spl8_402 <=> ! [X2 : $int] : (~zero_at1(sK0,$sum(5,X2)) | $less(X2,0) | ~$less(X2,length1(int,t2tb1(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_402])])). 1.17/1.39 tff(f4293,plain,( 1.17/1.39 ~spl8_169 | spl8_402 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4289,f2512,f4291,f1363])). 1.17/1.39 tff(f4294,plain,( 1.17/1.39 ~$less($sum(5,sK6(sK1)),length1(int,t2tb1(sK0))) | (~spl8_221 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2109,f2513])). 1.17/1.39 tff(f4296,plain,( 1.17/1.39 spl8_405 <=> ~$less($sum(5,sK6(sK1)),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_405])])). 1.17/1.39 tff(f4298,plain,( 1.17/1.39 ~spl8_405 | spl8_221 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4294,f2512,f2108,f4296])). 1.17/1.39 tff(f4299,plain,( 1.17/1.39 zero_at1(sK0,$sum(5,sK6(sK1))) | (~spl8_214 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2079,f2513])). 1.17/1.39 tff(f4301,plain,( 1.17/1.39 spl8_406 <=> zero_at1(sK0,$sum(5,sK6(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_406])])). 1.17/1.39 tff(f4303,plain,( 1.17/1.39 spl8_406 | ~spl8_214 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4299,f2512,f2078,f4301])). 1.17/1.39 tff(f4304,plain,( 1.17/1.39 ~$less($sum(5,sK6(sK1)),5) | (~spl8_211 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2067,f2513])). 1.17/1.39 tff(f4305,plain,( 1.17/1.39 ~$less(sK6(sK1),$sum(5,-5)) | (~spl8_211 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4304])). 1.17/1.39 tff(f4306,plain,( 1.17/1.39 ~$less(sK6(sK1),0) | (~spl8_211 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4305])). 1.17/1.39 tff(f4308,plain,( 1.17/1.39 spl8_173 <=> ~$less(sK6(sK1),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_173])])). 1.17/1.39 tff(f4309,plain,( 1.17/1.39 ~$less(sK6(sK1),0) | ~spl8_173), 1.17/1.39 inference(avatar_component_clause,[],[f4308])). 1.17/1.39 tff(f4310,plain,( 1.17/1.39 ~spl8_173 | spl8_211 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4306,f2512,f2066,f4308])). 1.17/1.39 tff(f4312,plain,( 1.17/1.39 ~$less($sum(5,sK6(sK1)),length1(int,t2tb1(sK0))) | (~spl8_134 | ~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2106,f2513])). 1.17/1.39 tff(f4313,plain,( 1.17/1.39 ~spl8_405 | ~spl8_134 | spl8_169 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4312,f2512,f1363,f1080,f4296])). 1.17/1.39 tff(f4315,plain,( 1.17/1.39 zero_at1(sK0,$sum(5,sK6(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))) | (~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2094,f2513])). 1.17/1.39 tff(f4316,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(5,sK6(sK1))),t2tb1(sK0))) | zero_at1(sK0,$sum(5,sK6(sK1))) | (~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4315,f2513])). 1.17/1.39 tff(f4318,plain,( 1.17/1.39 spl8_408 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(5,sK6(sK1))),t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_408])])). 1.17/1.39 tff(f4320,plain,( 1.17/1.39 spl8_406 | spl8_408 | spl8_169 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4316,f2512,f1363,f4318,f4301])). 1.17/1.39 tff(f4321,plain,( 1.17/1.39 zero_at1(sK0,$sum(5,sK6(sK1))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),$sum(sK2,sK6(sK1))) | (~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2085,f2513])). 1.17/1.39 tff(f4322,plain,( 1.17/1.39 $less(sK7(sK0,$sum(5,sK6(sK1))),$sum(5,sK6(sK1))) | zero_at1(sK0,$sum(5,sK6(sK1))) | (~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4321,f2513])). 1.17/1.39 tff(f4324,plain,( 1.17/1.39 spl8_410 <=> $less(sK7(sK0,$sum(5,sK6(sK1))),$sum(5,sK6(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_410])])). 1.17/1.39 tff(f4326,plain,( 1.17/1.39 spl8_406 | spl8_410 | spl8_169 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4322,f2512,f1363,f4324,f4301])). 1.17/1.39 tff(f4327,plain,( 1.17/1.39 zero_at1(sK0,$sum(5,sK6(sK1))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | (~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2073,f2513])). 1.17/1.39 tff(f4328,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(5,sK6(sK1))),0) | zero_at1(sK0,$sum(5,sK6(sK1))) | (~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f4327,f2513])). 1.17/1.39 tff(f4330,plain,( 1.17/1.39 spl8_413 <=> ~$less(sK7(sK0,$sum(5,sK6(sK1))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_413])])). 1.17/1.39 tff(f4332,plain,( 1.17/1.39 spl8_406 | ~spl8_413 | spl8_169 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4328,f2512,f1363,f4330,f4301])). 1.17/1.39 tff(f4333,plain,( 1.17/1.39 ~$less($sum(5,sK6(sK1)),5) | (~spl8_24 | ~spl8_169 | ~spl8_224)), 1.17/1.39 inference(forward_demodulation,[],[f2064,f2513])). 1.17/1.39 tff(f4334,plain,( 1.17/1.39 ~$less(sK6(sK1),$sum(5,-5)) | (~spl8_24 | ~spl8_169 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4333])). 1.17/1.39 tff(f4335,plain,( 1.17/1.39 ~$less(sK6(sK1),0) | (~spl8_24 | ~spl8_169 | ~spl8_224)), 1.17/1.39 inference(evaluation,[],[f4334])). 1.17/1.39 tff(f4336,plain,( 1.17/1.39 ~spl8_173 | ~spl8_24 | spl8_169 | ~spl8_224), 1.17/1.39 inference(avatar_split_clause,[],[f4335,f2512,f1363,f297,f4308])). 1.17/1.39 tff(f4341,plain,( 1.17/1.39 $less($sum(6,-1),sK2) | ~spl8_255), 1.17/1.39 inference(evaluation,[],[f2760])). 1.17/1.39 tff(f4342,plain,( 1.17/1.39 $less(5,sK2) | ~spl8_255), 1.17/1.39 inference(evaluation,[],[f4341])). 1.17/1.39 tff(f4343,plain,( 1.17/1.39 $less(5,sK2) | ~spl8_255), 1.17/1.39 inference(evaluation,[],[f2761])). 1.17/1.39 tff(f4344,plain,( 1.17/1.39 spl8_172 | spl8_174 | ~spl8_24 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f1426,f1363,f297,f1431,f1428])). 1.17/1.39 tff(f4345,plain,( 1.17/1.39 ~spl8_211 | ~spl8_24 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f2064,f1363,f297,f2066])). 1.17/1.39 tff(f4346,plain,( 1.17/1.39 ~spl8_213 | spl8_214 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f2073,f1363,f2078,f2075])). 1.17/1.39 tff(f4347,plain,( 1.17/1.39 spl8_216 | spl8_214 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f2085,f1363,f2078,f2087])). 1.17/1.39 tff(f4348,plain,( 1.17/1.39 spl8_218 | spl8_214 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f2094,f1363,f2078,f2096])). 1.17/1.39 tff(f4349,plain,( 1.17/1.39 ~spl8_221 | ~spl8_134 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f2106,f1363,f1080,f2108])). 1.17/1.39 tff(f4350,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),sK2) | zero_at1(sK1,sK6(sK1)) | (~spl8_24 | ~spl8_169)), 1.17/1.39 inference(subsumption_resolution,[],[f4284,f1364])). 1.17/1.39 tff(f4352,plain,( 1.17/1.39 spl8_415 <=> ~$less($sum(sK2,sK7(sK1,sK6(sK1))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_415])])). 1.17/1.39 tff(f4353,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),sK2) | ~spl8_415), 1.17/1.39 inference(avatar_component_clause,[],[f4352])). 1.17/1.39 tff(f4354,plain,( 1.17/1.39 spl8_388 | ~spl8_415 | ~spl8_24 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4350,f1363,f297,f4352,f4247])). 1.17/1.39 tff(f4355,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | ~spl8_169), 1.17/1.39 inference(subsumption_resolution,[],[f4276,f1364])). 1.17/1.39 tff(f4357,plain,( 1.17/1.39 spl8_416 <=> zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_416])])). 1.17/1.39 tff(f4358,plain,( 1.17/1.39 zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | ~spl8_416), 1.17/1.39 inference(avatar_component_clause,[],[f4357])). 1.17/1.39 tff(f4360,plain,( 1.17/1.39 spl8_419 <=> ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_419])])). 1.17/1.39 tff(f4361,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | ~spl8_419), 1.17/1.39 inference(avatar_component_clause,[],[f4360])). 1.17/1.39 tff(f4362,plain,( 1.17/1.39 spl8_388 | spl8_416 | ~spl8_419 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4355,f1363,f4360,f4357,f4247])). 1.17/1.39 tff(f4363,plain,( 1.17/1.39 $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | ~spl8_169), 1.17/1.39 inference(subsumption_resolution,[],[f4269,f1364])). 1.17/1.39 tff(f4365,plain,( 1.17/1.39 spl8_420 <=> $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),$sum(sK2,sK7(sK1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_420])])). 1.17/1.39 tff(f4366,plain,( 1.17/1.39 $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),$sum(sK2,sK7(sK1,sK6(sK1)))) | ~spl8_420), 1.17/1.39 inference(avatar_component_clause,[],[f4365])). 1.17/1.39 tff(f4367,plain,( 1.17/1.39 spl8_388 | spl8_416 | spl8_420 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4363,f1363,f4365,f4357,f4247])). 1.17/1.39 tff(f4368,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | zero_at1(sK1,sK6(sK1)) | ~spl8_169), 1.17/1.39 inference(subsumption_resolution,[],[f4259,f1364])). 1.17/1.39 tff(f4370,plain,( 1.17/1.39 spl8_422 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_422])])). 1.17/1.39 tff(f4371,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | ~spl8_422), 1.17/1.39 inference(avatar_component_clause,[],[f4370])). 1.17/1.39 tff(f4372,plain,( 1.17/1.39 spl8_388 | spl8_416 | spl8_422 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4368,f1363,f4370,f4357,f4247])). 1.17/1.39 tff(f4373,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | zero_at1(sK1,sK6(sK1))) ) | (~spl8_24 | ~spl8_169)), 1.17/1.39 inference(subsumption_resolution,[],[f4253,f1364])). 1.17/1.39 tff(f4375,plain,( 1.17/1.39 spl8_424 <=> ! [X7 : $int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_424])])). 1.17/1.39 tff(f4376,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7)) ) | ~spl8_424), 1.17/1.39 inference(avatar_component_clause,[],[f4375])). 1.17/1.39 tff(f4377,plain,( 1.17/1.39 spl8_388 | spl8_424 | ~spl8_24 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4373,f1363,f297,f4375,f4247])). 1.17/1.39 tff(f4378,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0))) | zero_at1(sK1,sK6(sK1)) | (~spl8_134 | ~spl8_169)), 1.17/1.39 inference(subsumption_resolution,[],[f4244,f1364])). 1.17/1.39 tff(f4380,plain,( 1.17/1.39 spl8_427 <=> ~$less($sum(sK2,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_427])])). 1.17/1.39 tff(f4381,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0))) | ~spl8_427), 1.17/1.39 inference(avatar_component_clause,[],[f4380])). 1.17/1.39 tff(f4382,plain,( 1.17/1.39 spl8_388 | ~spl8_427 | ~spl8_134 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4378,f1363,f1080,f4380,f4247])). 1.17/1.39 tff(f4384,plain,( 1.17/1.39 spl8_429 <=> ~$less(sK2,$uminus(length1(int,t2tb1(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_429])])). 1.17/1.39 tff(f4386,plain,( 1.17/1.39 ~spl8_429 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f4167,f280,f4384])). 1.17/1.39 tff(f4392,plain,( 1.17/1.39 spl8_250 <=> zero_at1(sK0,sK7(sK0,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_250])])). 1.17/1.39 tff(f4395,plain,( 1.17/1.39 spl8_430 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,sK2)),t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_430])])). 1.17/1.39 tff(f4397,plain,( 1.17/1.39 spl8_250 | spl8_430 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4007,f976,f4395,f4392])). 1.17/1.39 tff(f4399,plain,( 1.17/1.39 spl8_432 <=> $less(sK7(sK0,sK7(sK0,sK2)),sK7(sK0,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_432])])). 1.17/1.39 tff(f4401,plain,( 1.17/1.39 spl8_250 | spl8_432 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4004,f976,f4399,f4392])). 1.17/1.39 tff(f4403,plain,( 1.17/1.39 spl8_435 <=> ~$less(sK7(sK0,sK7(sK0,sK2)),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_435])])). 1.17/1.39 tff(f4405,plain,( 1.17/1.39 spl8_250 | ~spl8_435 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4003,f976,f4403,f4392])). 1.17/1.39 tff(f4408,plain,( 1.17/1.39 spl8_111 <=> ~$less(sK7(sK0,sK2),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_111])])). 1.17/1.39 tff(f4410,plain,( 1.17/1.39 ~spl8_111 | spl8_109 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4071,f976,f967,f4408])). 1.17/1.39 tff(f4412,plain,( 1.17/1.39 spl8_436 <=> some(int,t2tb2(0)) = nth1(int,sK7(sK0,sK2),t2tb1(sK0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_436])])). 1.17/1.39 tff(f4414,plain,( 1.17/1.39 spl8_436 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4065,f976,f4412])). 1.17/1.39 tff(f4415,plain,( 1.17/1.39 ~$less(sK7(sK0,sK7(sK0,sK2)),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f3998,f177])). 1.17/1.39 tff(f4416,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,sK2)) | ~$less(sK7(sK0,sK7(sK0,sK2)),0) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f4415,f177])). 1.17/1.39 tff(f4417,plain,( 1.17/1.39 ~spl8_435 | spl8_250 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4416,f976,f4392,f4403])). 1.17/1.39 tff(f4418,plain,( 1.17/1.39 $less(sK7(sK0,sK7(sK0,sK2)),sK7(sK0,sK2)) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f3999,f177])). 1.17/1.39 tff(f4419,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,sK2)) | $less(sK7(sK0,sK7(sK0,sK2)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f4418,f177])). 1.17/1.39 tff(f4420,plain,( 1.17/1.39 spl8_432 | spl8_250 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4419,f976,f4392,f4399])). 1.17/1.39 tff(f4422,plain,( 1.17/1.39 ~no_zero1(sK0) | ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | (~spl8_109 | ~spl8_112)), 1.17/1.39 inference(forward_demodulation,[],[f4047,f177])). 1.17/1.39 tff(f4423,plain,( 1.17/1.39 ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_109 | ~spl8_112)), 1.17/1.39 inference(subsumption_resolution,[],[f4422,f668])). 1.17/1.39 tff(f4425,plain,( 1.17/1.39 spl8_439 <=> ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_439])])). 1.17/1.39 tff(f4427,plain,( 1.17/1.39 ~spl8_439 | ~spl8_8 | spl8_109 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4423,f976,f967,f667,f4425])). 1.17/1.39 tff(f4428,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,sK2)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,sK2)) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f4002,f177])). 1.17/1.39 tff(f4429,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,sK2)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,sK2)),t2tb1(sK0))) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f4428,f177])). 1.17/1.39 tff(f4430,plain,( 1.17/1.39 spl8_430 | spl8_250 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4429,f976,f4392,f4395])). 1.17/1.39 tff(f4431,plain,( 1.17/1.39 ~spl8_439 | ~spl8_8 | spl8_109 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4019,f976,f967,f667,f4425])). 1.17/1.39 tff(f4433,plain,( 1.17/1.39 spl8_441 <=> ~$less(sK2,-2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_441])])). 1.17/1.39 tff(f4435,plain,( 1.17/1.39 ~spl8_441 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3966,f1061,f4433])). 1.17/1.39 tff(f4437,plain,( 1.17/1.39 spl8_443 <=> ~$less(sK2,-3)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_443])])). 1.17/1.39 tff(f4438,plain,( 1.17/1.39 ~$less(sK2,-3) | ~spl8_443), 1.17/1.39 inference(avatar_component_clause,[],[f4437])). 1.17/1.39 tff(f4439,plain,( 1.17/1.39 ~spl8_443 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3978,f1068,f4437])). 1.17/1.39 tff(f4440,plain,( 1.17/1.39 ~spl8_441 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f3937,f245,f4433])). 1.17/1.39 tff(f4442,plain,( 1.17/1.39 spl8_444 <=> $less(-3,sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_444])])). 1.17/1.39 tff(f4444,plain,( 1.17/1.39 spl8_444 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3950,f1068,f4442])). 1.17/1.39 tff(f4446,plain,( 1.17/1.39 spl8_446 <=> $less(sK2,$sum(sK2,$uminus(length1(int,t2tb1(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_446])])). 1.17/1.39 tff(f4448,plain,( 1.17/1.39 spl8_446 | ~spl8_128 | ~spl8_152), 1.17/1.39 inference(avatar_split_clause,[],[f3911,f1244,f1061,f4446])). 1.17/1.39 tff(f4450,plain,( 1.17/1.39 spl8_448 <=> $less(sK2,$sum(1,$sum(sK2,$uminus(length1(int,t2tb1(sK1))))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_448])])). 1.17/1.39 tff(f4452,plain,( 1.17/1.39 spl8_448 | ~spl8_130 | ~spl8_152), 1.17/1.39 inference(avatar_split_clause,[],[f3910,f1244,f1068,f4450])). 1.17/1.39 tff(f4453,plain,( 1.17/1.39 ( ! [X19:$int] : (no_zero1(sK0) | ~$less(X19,sK6(sK0)) | ~$less(sK2,X19)) ) | ~spl8_3), 1.17/1.39 inference(forward_demodulation,[],[f3907,f177])). 1.17/1.39 tff(f4456,plain,( 1.17/1.39 spl8_450 <=> $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),1)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_450])])). 1.17/1.39 tff(f4458,plain,( 1.17/1.39 spl8_450 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3827,f1068,f4456])). 1.17/1.39 tff(f4460,plain,( 1.17/1.39 spl8_452 <=> $less(0,$sum(1,$sum(sK2,$uminus(length1(int,t2tb1(sK0))))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_452])])). 1.17/1.39 tff(f4462,plain,( 1.17/1.39 spl8_452 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3790,f1068,f4460])). 1.17/1.39 tff(f4470,plain,( 1.17/1.39 spl8_455 <=> ~$less(sK2,$sum(1,$uminus(sK2)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_455])])). 1.17/1.39 tff(f4472,plain,( 1.17/1.39 ~spl8_455 | ~spl8_258), 1.17/1.39 inference(avatar_split_clause,[],[f3614,f2694,f4470])). 1.17/1.39 tff(f4474,plain,( 1.17/1.39 spl8_457 <=> ~$less($sum(1,sK2),$uminus(sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_457])])). 1.17/1.39 tff(f4476,plain,( 1.17/1.39 ~spl8_457 | ~spl8_48 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3597,f1068,f483,f4474])). 1.17/1.39 tff(f4479,plain,( 1.17/1.39 spl8_459 <=> ~$less($sum(1,sK2),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_459])])). 1.17/1.39 tff(f4481,plain,( 1.17/1.39 ~spl8_459 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3547,f1068,f4479])). 1.17/1.39 tff(f4482,plain,( 1.17/1.39 ~spl8_441 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3570,f1068,f4433])). 1.17/1.39 tff(f4483,plain,( 1.17/1.39 $less(sK6(sK0),$sum(1,sK2)) | no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_130), 1.17/1.39 inference(forward_demodulation,[],[f3513,f177])). 1.17/1.39 tff(f4484,plain,( 1.17/1.39 no_zero1(sK0) | $less(sK6(sK0),$sum(1,sK2)) | ~spl8_130), 1.17/1.39 inference(forward_demodulation,[],[f4483,f177])). 1.17/1.39 tff(f4485,plain,( 1.17/1.39 $less($uminus(sK2),$sum(1,sK2)) | (~spl8_48 | ~spl8_130 | ~spl8_294)), 1.17/1.39 inference(subsumption_resolution,[],[f3511,f4141])). 1.17/1.39 tff(f4487,plain,( 1.17/1.39 spl8_460 <=> $less($uminus(sK2),$sum(1,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_460])])). 1.17/1.39 tff(f4489,plain,( 1.17/1.39 spl8_460 | ~spl8_48 | ~spl8_130 | ~spl8_294), 1.17/1.39 inference(avatar_split_clause,[],[f4485,f4140,f1068,f483,f4487])). 1.17/1.39 tff(f4491,plain,( 1.17/1.39 spl8_462 <=> $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),$sum(1,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_462])])). 1.17/1.39 tff(f4493,plain,( 1.17/1.39 spl8_462 | ~spl8_48 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3510,f1068,f483,f4491])). 1.17/1.39 tff(f4495,plain,( 1.17/1.39 spl8_464 <=> $less($sum(1,length1(int,t2tb1(sK0))),$sum(1,$sum(1,sK2)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_464])])). 1.17/1.39 tff(f4497,plain,( 1.17/1.39 spl8_464 | spl8_145), 1.17/1.39 inference(avatar_split_clause,[],[f3494,f1135,f4495])). 1.17/1.39 tff(f4499,plain,( 1.17/1.39 spl8_466 <=> $sum(1,sK2) = $sum(1,length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_466])])). 1.17/1.39 tff(f4502,plain,( 1.17/1.39 spl8_468 <=> $less($sum(1,length1(int,t2tb1(sK0))),$sum(1,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_468])])). 1.17/1.39 tff(f4504,plain,( 1.17/1.39 spl8_466 | spl8_468 | spl8_145), 1.17/1.39 inference(avatar_split_clause,[],[f3480,f1135,f4502,f4499])). 1.17/1.39 tff(f4505,plain,( 1.17/1.39 spl8_466 | spl8_468 | spl8_145), 1.17/1.39 inference(avatar_split_clause,[],[f3479,f1135,f4502,f4499])). 1.17/1.39 tff(f4507,plain,( 1.17/1.39 spl8_470 <=> $less(0,$sum(sK2,$uminus(length1(int,t2tb1(sK0)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_470])])). 1.17/1.39 tff(f4509,plain,( 1.17/1.39 spl8_470 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3403,f1061,f4507])). 1.17/1.39 tff(f4511,plain,( 1.17/1.39 spl8_472 <=> $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_472])])). 1.17/1.39 tff(f4513,plain,( 1.17/1.39 spl8_472 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3447,f1061,f4511])). 1.17/1.39 tff(f4521,plain,( 1.17/1.39 spl8_475 <=> ~$less(-2,$uminus(sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_475])])). 1.17/1.39 tff(f4523,plain,( 1.17/1.39 ~spl8_475 | ~spl8_242), 1.17/1.39 inference(avatar_split_clause,[],[f3268,f2613,f4521])). 1.17/1.39 tff(f4524,plain,( 1.17/1.39 ~spl8_293 | ~spl8_48 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3245,f1061,f483,f2961])). 1.17/1.39 tff(f4526,plain,( 1.17/1.39 $less(sK6(sK0),sK2) | no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_128), 1.17/1.39 inference(forward_demodulation,[],[f3169,f177])). 1.17/1.39 tff(f4527,plain,( 1.17/1.39 no_zero1(sK0) | $less(sK6(sK0),sK2) | ~spl8_128), 1.17/1.39 inference(forward_demodulation,[],[f4526,f177])). 1.17/1.39 tff(f4529,plain,( 1.17/1.39 spl8_476 <=> $less($sum($uminus(sK2),length1(int,t2tb1(sK0))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_476])])). 1.17/1.39 tff(f4531,plain,( 1.17/1.39 spl8_476 | ~spl8_48 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3166,f1061,f483,f4529])). 1.17/1.39 tff(f4532,plain,( 1.17/1.39 spl8_468 | spl8_143), 1.17/1.39 inference(avatar_split_clause,[],[f3070,f1125,f4502])). 1.17/1.39 tff(f4534,plain,( 1.17/1.39 spl8_478 <=> $sum(1,length1(int,t2tb1(sK0))) = sK2), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_478])])). 1.17/1.39 tff(f4537,plain,( 1.17/1.39 spl8_480 <=> $less($sum(1,length1(int,t2tb1(sK0))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_480])])). 1.17/1.39 tff(f4539,plain,( 1.17/1.39 spl8_478 | spl8_480 | spl8_143), 1.17/1.39 inference(avatar_split_clause,[],[f3050,f1125,f4537,f4534])). 1.17/1.39 tff(f4540,plain,( 1.17/1.39 spl8_478 | spl8_480 | spl8_143), 1.17/1.39 inference(avatar_split_clause,[],[f3049,f1125,f4537,f4534])). 1.17/1.39 tff(f4541,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f2762,f2669,f2515])). 1.17/1.39 tff(f4542,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f4343,f2669,f2515])). 1.17/1.39 tff(f4543,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f4342,f2669,f2515])). 1.17/1.39 tff(f4545,plain,( 1.17/1.39 ~zero_at1(sK0,0) | (~spl8_0 | ~spl8_24)), 1.17/1.39 inference(resolution,[],[f1046,f1601])). 1.17/1.39 tff(f4547,plain,( 1.17/1.39 $less(sK2,$sum(sK2,sK6(sK1))) | $sum(sK2,sK6(sK1)) = sK2 | ~spl8_211), 1.17/1.39 inference(resolution,[],[f2067,f62])). 1.17/1.39 tff(f4548,plain,( 1.17/1.39 $less(sK2,$sum(sK2,sK6(sK1))) | $sum(sK2,sK6(sK1)) = sK2 | ~spl8_211), 1.17/1.39 inference(resolution,[],[f2067,f62])). 1.17/1.39 tff(f4549,plain,( 1.17/1.39 $less(sK2,$sum($sum(sK2,sK6(sK1)),1)) | ~spl8_211), 1.17/1.39 inference(resolution,[],[f2067,f64])). 1.17/1.39 tff(f4551,plain,( 1.17/1.39 spl8_482 <=> $sum(sK2,sK6(sK1)) = sK2), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_482])])). 1.17/1.39 tff(f4554,plain,( 1.17/1.39 spl8_484 <=> $less(sK2,$sum(sK2,sK6(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_484])])). 1.17/1.39 tff(f4556,plain,( 1.17/1.39 spl8_482 | spl8_484 | spl8_211), 1.17/1.39 inference(avatar_split_clause,[],[f4547,f2066,f4554,f4551])). 1.17/1.39 tff(f4557,plain,( 1.17/1.39 spl8_482 | spl8_484 | spl8_211), 1.17/1.39 inference(avatar_split_clause,[],[f4548,f2066,f4554,f4551])). 1.17/1.39 tff(f4558,plain,( 1.17/1.39 $less(sK2,$sum(sK2,$sum(sK6(sK1),1))) | ~spl8_211), 1.17/1.39 inference(forward_demodulation,[],[f4549,f56])). 1.17/1.39 tff(f4559,plain,( 1.17/1.39 $less(sK2,$sum(sK2,$sum(1,sK6(sK1)))) | ~spl8_211), 1.17/1.39 inference(forward_demodulation,[],[f4558,f55])). 1.17/1.39 tff(f4561,plain,( 1.17/1.39 spl8_486 <=> $less(sK2,$sum(sK2,$sum(1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_486])])). 1.17/1.39 tff(f4563,plain,( 1.17/1.39 spl8_486 | spl8_211), 1.17/1.39 inference(avatar_split_clause,[],[f4559,f2066,f4561])). 1.17/1.39 tff(f4564,plain,( 1.17/1.39 ( ! [X0:$int] : ($less(sK6(sK1),0) | ~zero_at1(sK1,X0) | ~$less(sK6(sK1),X0)) ) | ~spl8_214), 1.17/1.39 inference(resolution,[],[f2079,f1352])). 1.17/1.39 tff(f4565,plain,( 1.17/1.39 $less($sum(sK2,sK6(sK1)),0) | $sum(sK2,sK6(sK1)) = sK2 | (~spl8_5 | ~spl8_46 | ~spl8_94 | ~spl8_214)), 1.17/1.39 inference(resolution,[],[f2079,f1148])). 1.17/1.39 tff(f4567,plain,( 1.17/1.39 spl8_488 <=> ! [X0 : $int] : (~zero_at1(sK1,X0) | ~$less(sK6(sK1),X0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_488])])). 1.17/1.39 tff(f4569,plain,( 1.17/1.39 spl8_488 | spl8_172 | ~spl8_214), 1.17/1.39 inference(avatar_split_clause,[],[f4564,f2078,f1428,f4567])). 1.17/1.39 tff(f4571,plain,( 1.17/1.39 spl8_490 <=> $less($sum(sK2,sK6(sK1)),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_490])])). 1.17/1.39 tff(f4573,plain,( 1.17/1.39 spl8_482 | spl8_490 | spl8_5 | ~spl8_46 | ~spl8_94 | ~spl8_214), 1.17/1.39 inference(avatar_split_clause,[],[f4565,f2078,f843,f479,f276,f4571,f4551])). 1.17/1.39 tff(f4578,plain,( 1.17/1.39 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1))) | $less($uminus(sK2),0) | ~spl8_22), 1.17/1.39 inference(evaluation,[],[f454])). 1.17/1.39 tff(f4579,plain,( 1.17/1.39 tb2t(nth1(int,0,t2tb1(sK0))) = tb2t(nth1(int,0,t2tb1(sK1))) | ~spl8_22), 1.17/1.39 inference(evaluation,[],[f456])). 1.17/1.39 tff(f4587,plain,( 1.17/1.39 spl8_492 <=> $less(sK6(sK0),$sum(1,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_492])])). 1.17/1.39 tff(f4589,plain,( 1.17/1.39 spl8_492 | spl8_8 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f4484,f1068,f667,f4587])). 1.17/1.39 tff(f4591,plain,( 1.17/1.39 spl8_494 <=> ! [X19 : $int] : (~$less(X19,sK6(sK0)) | ~$less(sK2,X19))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_494])])). 1.17/1.39 tff(f4593,plain,( 1.17/1.39 spl8_494 | spl8_8 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f4453,f245,f667,f4591])). 1.17/1.39 tff(f4595,plain,( 1.17/1.39 spl8_496 <=> ! [X0 : $int] : (~$less(sK2,X0) | $less(sK6(sK0),$sum(length1(int,t2tb1(sK1)),X0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_496])])). 1.17/1.39 tff(f4597,plain,( 1.17/1.39 spl8_8 | spl8_496 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f4146,f280,f4595,f667])). 1.17/1.39 tff(f4599,plain,( 1.17/1.39 spl8_498 <=> ! [X5 : $int] : (~$less(X5,sK2) | ~zero_at1(sK0,$sum(length1(int,t2tb1(sK1)),X5)) | $less($sum(length1(int,t2tb1(sK1)),X5),0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_498])])). 1.17/1.39 tff(f4601,plain,( 1.17/1.39 ~spl8_9 | spl8_498 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f4110,f280,f4599,f255])). 1.17/1.39 tff(f4603,plain,( 1.17/1.39 spl8_500 <=> $less($sum(sK6(sK0),$uminus(length1(int,t2tb1(sK1)))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_500])])). 1.17/1.39 tff(f4605,plain,( 1.17/1.39 spl8_8 | spl8_500 | ~spl8_152), 1.17/1.39 inference(avatar_split_clause,[],[f3912,f1244,f4603,f667])). 1.17/1.39 tff(f4606,plain,( 1.17/1.39 spl8_8 | spl8_494 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f3888,f245,f4591,f667])). 1.17/1.39 tff(f4608,plain,( 1.17/1.39 spl8_502 <=> ! [X1 : $int,X0 : $int] : (~$less(X0,X1) | ~$less(X1,sK6(sK0)) | ~$less(sK2,X0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_502])])). 1.17/1.39 tff(f4610,plain,( 1.17/1.39 spl8_8 | spl8_502 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f3877,f245,f4608,f667])). 1.17/1.39 tff(f4612,plain,( 1.17/1.39 spl8_504 <=> ! [X0 : $int] : (~$less(sK2,X0) | $less(sK6(sK0),$sum(X0,1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_504])])). 1.17/1.39 tff(f4614,plain,( 1.17/1.39 spl8_8 | spl8_504 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f3657,f245,f4612,f667])). 1.17/1.39 tff(f4616,plain,( 1.17/1.39 spl8_506 <=> ! [X0 : $int] : (~$less($sum(1,sK2),X0) | $less(sK6(sK0),X0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_506])])). 1.17/1.39 tff(f4618,plain,( 1.17/1.39 spl8_8 | spl8_506 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3543,f1068,f4616,f667])). 1.17/1.39 tff(f4620,plain,( 1.17/1.39 spl8_509 <=> ~$less($sum(1,sK2),$sum(1,sK6(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_509])])). 1.17/1.39 tff(f4622,plain,( 1.17/1.39 spl8_8 | ~spl8_509 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3542,f1068,f4620,f667])). 1.17/1.39 tff(f4623,plain,( 1.17/1.39 spl8_8 | spl8_492 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3512,f1068,f4587,f667])). 1.17/1.39 tff(f4625,plain,( 1.17/1.39 spl8_510 <=> ! [X0 : $int] : ($less(X0,$sum(1,sK2)) | ~$less(X0,sK6(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_510])])). 1.17/1.39 tff(f4627,plain,( 1.17/1.39 spl8_8 | spl8_510 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3502,f1068,f4625,f667])). 1.17/1.39 tff(f4629,plain,( 1.17/1.39 spl8_513 <=> ~$less(length1(int,t2tb1(sK0)),1)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_513])])). 1.17/1.39 tff(f4631,plain,( 1.17/1.39 spl8_8 | ~spl8_513 | spl8_71), 1.17/1.39 inference(avatar_split_clause,[],[f2861,f670,f4629,f667])). 1.17/1.39 tff(f4632,plain,( 1.17/1.39 ( ! [X4:$int] : (~no_zero1(sK0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(sK1))) | ~$less($sum(X4,sK2),length1(int,t2tb1(sK0))) | $less($sum(X4,sK2),0) | $less(X4,0)) )), 1.17/1.39 inference(forward_demodulation,[],[f2427,f177])). 1.17/1.39 tff(f4634,plain,( 1.17/1.39 spl8_514 <=> ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(sK1))) | $less(X4,0) | $less($sum(X4,sK2),0) | ~$less($sum(X4,sK2),length1(int,t2tb1(sK0))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_514])])). 1.17/1.39 tff(f4636,plain,( 1.17/1.39 spl8_514 | ~spl8_9), 1.17/1.39 inference(avatar_split_clause,[],[f4632,f255,f4634])). 1.17/1.39 tff(f4637,plain,( 1.17/1.39 ~$less(sK7(sK0,sK6(sK0)),sK2) | zero_at1(sK0,sK6(sK0)) | no_zero1(sK0)), 1.17/1.39 inference(subsumption_resolution,[],[f2402,f703])). 1.17/1.39 tff(f4639,plain,( 1.17/1.39 spl8_516 <=> zero_at1(sK0,sK6(sK0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_516])])). 1.17/1.39 tff(f4642,plain,( 1.17/1.39 spl8_519 <=> ~$less(sK7(sK0,sK6(sK0)),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_519])])). 1.17/1.39 tff(f4644,plain,( 1.17/1.39 spl8_8 | spl8_516 | ~spl8_519), 1.17/1.39 inference(avatar_split_clause,[],[f4637,f4642,f4639,f667])). 1.17/1.39 tff(f4645,plain,( 1.17/1.39 ~spl8_133 | spl8_8), 1.17/1.39 inference(avatar_split_clause,[],[f2059,f667,f1075])). 1.17/1.39 tff(f4647,plain,( 1.17/1.39 spl8_520 <=> ! [X12 : $int] : ($less($sum(X12,length1(int,t2tb1(sK1))),0) | ~$less(X12,sK2) | ~zero_at1(sK0,$sum(X12,length1(int,t2tb1(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_520])])). 1.17/1.39 tff(f4648,plain,( 1.17/1.39 ( ! [X12:$int] : (~zero_at1(sK0,$sum(X12,length1(int,t2tb1(sK1)))) | ~$less(X12,sK2) | $less($sum(X12,length1(int,t2tb1(sK1))),0)) ) | ~spl8_520), 1.17/1.39 inference(avatar_component_clause,[],[f4647])). 1.17/1.39 tff(f4649,plain,( 1.17/1.39 ~spl8_9 | spl8_520 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f1797,f280,f4647,f255])). 1.17/1.39 tff(f4650,plain,( 1.17/1.39 ~$less(sK6(sK0),sK2) | no_zero1(sK0)), 1.17/1.39 inference(subsumption_resolution,[],[f1707,f193])). 1.17/1.39 tff(f4651,plain,( 1.17/1.39 spl8_8 | ~spl8_133), 1.17/1.39 inference(avatar_split_clause,[],[f4650,f1075,f667])). 1.17/1.39 tff(f4653,plain,( 1.17/1.39 spl8_522 <=> ! [X0 : $int] : ($less(sK6(sK0),$sum(X0,length1(int,t2tb1(sK1)))) | ~$less(sK2,X0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_522])])). 1.17/1.39 tff(f4655,plain,( 1.17/1.39 spl8_522 | spl8_8 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f1543,f280,f667,f4653])). 1.17/1.39 tff(f4656,plain,( 1.17/1.39 spl8_492 | spl8_8 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f1542,f1068,f667,f4587])). 1.17/1.39 tff(f4658,plain,( 1.17/1.39 spl8_139 <=> ~$less(sK2,sK6(sK0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_139])])). 1.17/1.39 tff(f4660,plain,( 1.17/1.39 spl8_8 | ~spl8_139 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f1536,f245,f4658,f667])). 1.17/1.39 tff(f4661,plain,( 1.17/1.39 spl8_8 | spl8_494 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f1529,f245,f4591,f667])). 1.17/1.39 tff(f4662,plain,( 1.17/1.39 ~$less(sK2,sK6(sK0)) | no_zero1(sK0) | ~spl8_3), 1.17/1.39 inference(forward_demodulation,[],[f1495,f177])). 1.17/1.39 tff(f4663,plain,( 1.17/1.39 spl8_8 | ~spl8_139 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f4662,f245,f4658,f667])). 1.17/1.39 tff(f4664,plain,( 1.17/1.39 ~spl8_9 | spl8_514), 1.17/1.39 inference(avatar_split_clause,[],[f1287,f4634,f255])). 1.17/1.39 tff(f4665,plain,( 1.17/1.39 spl8_8 | ~spl8_139 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f1158,f245,f4658,f667])). 1.17/1.39 tff(f4666,plain,( 1.17/1.39 ( ! [X6:$int,X7:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X6,t2tb1(sK1))) | ~zero_at1(sK0,X7) | ~$less($sum(sK2,X6),X7) | $less($sum(sK2,X6),0) | $less(X6,0)) )), 1.17/1.39 inference(forward_demodulation,[],[f2343,f177])). 1.17/1.39 tff(f4668,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(sK1)),sK2) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | ~spl8_169), 1.17/1.39 inference(subsumption_resolution,[],[f1446,f1364])). 1.17/1.39 tff(f4669,plain,( 1.17/1.39 spl8_172 | spl8_490 | ~spl8_211 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4668,f1363,f2066,f4571,f1428])). 1.17/1.39 tff(f4670,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(sK1)),sK2) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | ~spl8_169), 1.17/1.39 inference(subsumption_resolution,[],[f1704,f1364])). 1.17/1.39 tff(f4671,plain,( 1.17/1.39 spl8_172 | spl8_490 | ~spl8_211 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4670,f1363,f2066,f4571,f1428])). 1.17/1.39 tff(f4672,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),sK2) | $less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.17/1.39 inference(subsumption_resolution,[],[f2027,f193])). 1.17/1.39 tff(f4673,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(sK1)),sK2) | $less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),0) | no_zero1(tb2t1(t2tb1(sK1)))), 1.17/1.39 inference(forward_demodulation,[],[f4672,f177])). 1.17/1.39 tff(f4674,plain,( 1.17/1.39 $less($sum(sK2,sK6(sK1)),0) | ~$less($sum(sK2,sK6(sK1)),sK2) | no_zero1(tb2t1(t2tb1(sK1)))), 1.17/1.39 inference(forward_demodulation,[],[f4673,f177])). 1.17/1.39 tff(f4675,plain,( 1.17/1.39 no_zero1(sK1) | $less($sum(sK2,sK6(sK1)),0) | ~$less($sum(sK2,sK6(sK1)),sK2)), 1.17/1.39 inference(forward_demodulation,[],[f4674,f177])). 1.17/1.39 tff(f4676,plain,( 1.17/1.39 $less($sum(sK2,sK6(sK1)),0) | ~$less($sum(sK2,sK6(sK1)),sK2) | ~spl8_169), 1.17/1.39 inference(subsumption_resolution,[],[f4675,f1364])). 1.17/1.39 tff(f4677,plain,( 1.17/1.39 ~spl8_211 | spl8_490 | spl8_169), 1.17/1.39 inference(avatar_split_clause,[],[f4676,f1363,f4571,f2066])). 1.17/1.39 tff(f4680,plain,( 1.17/1.39 spl8_524 <=> ! [X0 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | $less(X0,0) | $less($sum(sK2,X0),0) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_524])])). 1.17/1.39 tff(f4682,plain,( 1.17/1.39 ~spl8_9 | spl8_524), 1.17/1.39 inference(avatar_split_clause,[],[f725,f4680,f255])). 1.17/1.39 tff(f4684,plain,( 1.17/1.39 spl8_526 <=> ! [X3 : $int] : (~zero_at1(sK1,X3) | ~$less($uminus(sK2),X3))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_526])])). 1.17/1.39 tff(f4686,plain,( 1.17/1.39 spl8_526 | spl8_48 | ~spl8_29), 1.17/1.39 inference(avatar_split_clause,[],[f4176,f308,f483,f4684])). 1.17/1.39 tff(f4688,plain,( 1.17/1.39 spl8_81 <=> ~$less(length1(int,t2tb1(sK1)),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_81])])). 1.17/1.39 tff(f4690,plain,( 1.17/1.39 ~spl8_81 | ~spl8_35 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f4148,f280,f349,f4688])). 1.17/1.39 tff(f4692,plain,( 1.17/1.39 spl8_528 <=> nth1(int,0,t2tb1(sK0)) = nth1(int,$uminus(sK2),t2tb1(sK1))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_528])])). 1.17/1.39 tff(f4694,plain,( 1.17/1.39 spl8_48 | spl8_528), 1.17/1.39 inference(avatar_split_clause,[],[f1262,f4692,f483])). 1.17/1.39 tff(f4696,plain,( 1.17/1.39 spl8_25 <=> ~$less(0,sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_25])])). 1.17/1.39 tff(f4698,plain,( 1.17/1.39 ~spl8_25 | spl8_80 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f4117,f280,f800,f4696])). 1.17/1.39 tff(f4701,plain,( 1.17/1.39 spl8_108 <=> $less(sK7(sK0,sK2),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_108])])). 1.17/1.39 tff(f4703,plain,( 1.17/1.39 spl8_108 | ~spl8_111 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4008,f976,f4408,f4701])). 1.17/1.39 tff(f4704,plain,( 1.17/1.39 ( ! [X1:$int] : (~zero_at1(sK0,X1) | ~$less(sK7(sK0,sK2),X1) | $less(sK7(sK0,sK2),0)) ) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f4000,f177])). 1.17/1.39 tff(f4706,plain,( 1.17/1.39 spl8_530 <=> ! [X1 : $int] : (~zero_at1(sK0,X1) | ~$less(sK7(sK0,sK2),X1))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_530])])). 1.17/1.39 tff(f4708,plain,( 1.17/1.39 spl8_108 | spl8_530 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4704,f976,f4706,f4701])). 1.17/1.39 tff(f4709,plain,( 1.17/1.39 ~no_zero1(sK0) | ~$less(sK7(sK0,sK2),length1(int,t2tb1(sK0))) | $less(sK7(sK0,sK2),0) | ~spl8_112), 1.17/1.39 inference(forward_demodulation,[],[f4001,f177])). 1.17/1.39 tff(f4710,plain,( 1.17/1.39 spl8_108 | ~spl8_439 | ~spl8_9 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4709,f976,f255,f4425,f4701])). 1.17/1.39 tff(f4711,plain,( 1.17/1.39 spl8_108 | spl8_530 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4005,f976,f4706,f4701])). 1.17/1.39 tff(f4712,plain,( 1.17/1.39 ~spl8_9 | spl8_108 | ~spl8_439 | ~spl8_112), 1.17/1.39 inference(avatar_split_clause,[],[f4006,f976,f4425,f4701,f255])). 1.17/1.39 tff(f4715,plain,( 1.17/1.39 spl8_533 <=> ~$less($sum(1,sK2),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_533])])). 1.17/1.39 tff(f4718,plain,( 1.17/1.39 spl8_534 <=> ! [X10 : $int] : (~zero_at1(sK0,X10) | $less(X10,0) | ~$less(X10,length1(int,t2tb1(sK0))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_534])])). 1.17/1.39 tff(f4720,plain,( 1.17/1.39 ~spl8_533 | spl8_534 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f3852,f1068,f4718,f4715])). 1.17/1.39 tff(f4722,plain,( 1.17/1.39 spl8_6 <=> length1(int,t2tb1(sK0)) = sK2), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])). 1.17/1.39 tff(f4724,plain,( 1.17/1.39 spl8_6 | spl8_128 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f1111,f245,f1061,f4722])). 1.17/1.39 tff(f4725,plain,( 1.17/1.39 spl8_6 | spl8_128 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f1110,f245,f1061,f4722])). 1.17/1.39 tff(f4726,plain,( 1.17/1.39 spl8_6 | spl8_128 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f1056,f245,f1061,f4722])). 1.17/1.39 tff(f4727,plain,( 1.17/1.39 spl8_6 | spl8_128 | spl8_3), 1.17/1.39 inference(avatar_split_clause,[],[f1057,f245,f1061,f4722])). 1.17/1.39 tff(f4728,plain,( 1.17/1.39 ( ! [X3:$int] : (~no_zero1(sK0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK1))) | ~$less($sum(sK2,X3),length1(int,t2tb1(sK0))) | $less($sum(sK2,X3),0) | $less(X3,0)) )), 1.17/1.39 inference(forward_demodulation,[],[f2426,f177])). 1.17/1.39 tff(f4729,plain,( 1.17/1.39 spl8_524 | ~spl8_9), 1.17/1.39 inference(avatar_split_clause,[],[f4728,f255,f4680])). 1.17/1.39 tff(f4730,plain,( 1.17/1.39 ( ! [X0:$int] : (~no_zero1(sK0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(sK2,X0),length1(int,t2tb1(sK0))) | $less($sum(sK2,X0),0) | $less(X0,0)) )), 1.17/1.39 inference(forward_demodulation,[],[f2416,f177])). 1.17/1.39 tff(f4731,plain,( 1.17/1.39 spl8_524 | ~spl8_9), 1.17/1.39 inference(avatar_split_clause,[],[f4730,f255,f4680])). 1.17/1.39 tff(f4732,plain,( 1.17/1.39 ~spl8_9 | spl8_524), 1.17/1.39 inference(avatar_split_clause,[],[f1268,f4680,f255])). 1.17/1.39 tff(f4733,plain,( 1.17/1.39 ( ! [X0:$int] : (~zero_at1(sK0,length1(int,t2tb1(sK0))) | ~zero_at1(sK1,X0) | ~$less(length1(int,t2tb1(sK1)),X0)) ) | ~spl8_18), 1.17/1.39 inference(subsumption_resolution,[],[f4174,f197])). 1.17/1.39 tff(f4734,plain,( 1.17/1.39 spl8_162 | ~spl8_147 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f4733,f280,f1151,f1322])). 1.17/1.39 tff(f4735,plain,( 1.17/1.39 ~$less($sum(1,sK2),sK2) | ~zero_at1(sK0,length1(int,t2tb1(sK0))) | ~spl8_130), 1.17/1.39 inference(subsumption_resolution,[],[f3561,f197])). 1.17/1.39 tff(f4736,plain,( 1.17/1.39 ~spl8_147 | ~spl8_533 | ~spl8_130), 1.17/1.39 inference(avatar_split_clause,[],[f4735,f1068,f4715,f1151])). 1.17/1.39 tff(f4737,plain,( 1.17/1.39 ~spl8_157 | spl8_158 | ~spl8_52), 1.17/1.39 inference(avatar_split_clause,[],[f1724,f490,f1307,f1304])). 1.17/1.39 tff(f4738,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,length1(int,t2tb1(sK1))),t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f2469,f177])). 1.17/1.39 tff(f4739,plain,( 1.17/1.39 zero_at1(sK1,length1(int,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK1,length1(int,t2tb1(sK1))),t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f4738,f177])). 1.17/1.39 tff(f4740,plain,( 1.17/1.39 ~spl8_159 | spl8_160 | spl8_156 | ~spl8_52), 1.17/1.39 inference(avatar_split_clause,[],[f4739,f490,f1311,f1314,f1317])). 1.17/1.39 tff(f4741,plain,( 1.17/1.39 ( ! [X5:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~$less(length1(int,t2tb1(sK1)),X5) | ~zero_at1(tb2t1(t2tb1(sK1)),X5)) ) | ~spl8_52), 1.17/1.39 inference(subsumption_resolution,[],[f2342,f197])). 1.17/1.39 tff(f4742,plain,( 1.17/1.39 ( ! [X5:$int] : (~zero_at1(sK1,X5) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~$less(length1(int,t2tb1(sK1)),X5)) ) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f4741,f177])). 1.17/1.39 tff(f4743,plain,( 1.17/1.39 ~spl8_159 | spl8_162 | ~spl8_52), 1.17/1.39 inference(avatar_split_clause,[],[f4742,f490,f1322,f1317])). 1.17/1.39 tff(f4744,plain,( 1.17/1.39 $less(sK7(sK1,length1(int,t2tb1(sK1))),length1(int,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f2299,f177])). 1.17/1.39 tff(f4745,plain,( 1.17/1.39 zero_at1(sK1,length1(int,t2tb1(sK1))) | $less(sK7(sK1,length1(int,t2tb1(sK1))),length1(int,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f4744,f177])). 1.17/1.39 tff(f4746,plain,( 1.17/1.39 ~spl8_159 | spl8_164 | spl8_156 | ~spl8_52), 1.17/1.39 inference(avatar_split_clause,[],[f4745,f490,f1311,f1326,f1317])). 1.17/1.39 tff(f4747,plain,( 1.17/1.39 ~$less(sK7(sK1,length1(int,t2tb1(sK1))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK1)),length1(int,t2tb1(sK1))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f2249,f177])). 1.17/1.39 tff(f4748,plain,( 1.17/1.39 zero_at1(sK1,length1(int,t2tb1(sK1))) | ~$less(sK7(sK1,length1(int,t2tb1(sK1))),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f4747,f177])). 1.17/1.39 tff(f4749,plain,( 1.17/1.39 ~spl8_159 | ~spl8_167 | spl8_156 | ~spl8_52), 1.17/1.39 inference(avatar_split_clause,[],[f4748,f490,f1311,f1330,f1317])). 1.17/1.39 tff(f4750,plain,( 1.17/1.39 ~zero_at1(sK1,length1(int,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f1922,f177])). 1.17/1.39 tff(f4751,plain,( 1.17/1.39 spl8_158 | ~spl8_157 | ~spl8_52), 1.17/1.39 inference(avatar_split_clause,[],[f4750,f490,f1304,f1307])). 1.17/1.39 tff(f4752,plain,( 1.17/1.39 ~zero_at1(sK1,length1(int,t2tb1(sK1))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~spl8_52), 1.17/1.39 inference(forward_demodulation,[],[f1908,f177])). 1.17/1.39 tff(f4753,plain,( 1.17/1.39 spl8_158 | ~spl8_157 | ~spl8_52), 1.17/1.39 inference(avatar_split_clause,[],[f4752,f490,f1304,f1307])). 1.17/1.39 tff(f4771,plain,( 1.17/1.39 spl8_537 <=> ~$less($uminus(length1(int,t2tb1(sK1))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_537])])). 1.17/1.39 tff(f4773,plain,( 1.17/1.39 ~spl8_537 | spl8_294 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f4116,f280,f4140,f4771])). 1.17/1.39 tff(f4774,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(sK0))) | (~spl8_44 | ~spl8_94)), 1.17/1.39 inference(forward_demodulation,[],[f460,f844])). 1.17/1.39 tff(f4776,plain,( 1.17/1.39 spl8_538 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_538])])). 1.17/1.39 tff(f4778,plain,( 1.17/1.39 spl8_538 | ~spl8_44 | ~spl8_94), 1.17/1.39 inference(avatar_split_clause,[],[f4774,f843,f459,f4776])). 1.17/1.39 tff(f4779,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK1))) | (~spl8_42 | ~spl8_158)), 1.17/1.39 inference(forward_demodulation,[],[f452,f1308])). 1.17/1.39 tff(f4781,plain,( 1.17/1.39 spl8_540 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_540])])). 1.17/1.39 tff(f4783,plain,( 1.17/1.39 spl8_540 | ~spl8_42 | ~spl8_158), 1.17/1.39 inference(avatar_split_clause,[],[f4779,f1307,f451,f4781])). 1.17/1.39 tff(f4784,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK1))) | (~spl8_18 | ~spl8_32 | ~spl8_158)), 1.17/1.39 inference(forward_demodulation,[],[f449,f1308])). 1.17/1.39 tff(f4785,plain,( 1.17/1.39 spl8_540 | ~spl8_18 | ~spl8_32 | ~spl8_158), 1.17/1.39 inference(avatar_split_clause,[],[f4784,f1307,f334,f280,f4781])). 1.17/1.39 tff(f4786,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(sK0))) | (~spl8_22 | ~spl8_94)), 1.17/1.39 inference(forward_demodulation,[],[f462,f844])). 1.17/1.39 tff(f4787,plain,( 1.17/1.39 spl8_538 | ~spl8_22 | ~spl8_94), 1.17/1.39 inference(avatar_split_clause,[],[f4786,f843,f294,f4776])). 1.17/1.39 tff(f4788,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(sK0))) | (~spl8_22 | ~spl8_94)), 1.17/1.39 inference(forward_demodulation,[],[f457,f844])). 1.17/1.39 tff(f4789,plain,( 1.17/1.39 spl8_538 | ~spl8_22 | ~spl8_94), 1.17/1.39 inference(avatar_split_clause,[],[f4788,f843,f294,f4776])). 1.17/1.39 tff(f4790,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(sK0))) | (~spl8_22 | ~spl8_94)), 1.17/1.39 inference(forward_demodulation,[],[f4579,f844])). 1.17/1.39 tff(f4791,plain,( 1.17/1.39 spl8_538 | ~spl8_22 | ~spl8_94), 1.17/1.39 inference(avatar_split_clause,[],[f4790,f843,f294,f4776])). 1.17/1.39 tff(f4792,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,0,t2tb1(sK0))) | $less($uminus(sK2),0) | (~spl8_22 | ~spl8_94)), 1.17/1.39 inference(forward_demodulation,[],[f4578,f844])). 1.17/1.39 tff(f4793,plain,( 1.17/1.39 spl8_48 | spl8_538 | ~spl8_22 | ~spl8_94), 1.17/1.39 inference(avatar_split_clause,[],[f4792,f843,f294,f4776,f483])). 1.17/1.39 tff(f4800,plain,( 1.17/1.39 ( ! [X2:$int] : ($less(X2,$sum(sK2,X2))) ) | ~spl8_24), 1.17/1.39 inference(evaluation,[],[f517])). 1.17/1.39 tff(f4803,plain,( 1.17/1.39 ~zero_at1(sK0,0) | ~spl8_24), 1.17/1.39 inference(evaluation,[],[f1143])). 1.17/1.39 tff(f4807,plain,( 1.17/1.39 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f1421])). 1.17/1.39 tff(f4810,plain,( 1.17/1.39 ( ! [X8:$int] : (~$less($sum(sK2,sK6(sK1)),X8) | ~zero_at1(sK0,X8) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f1700])). 1.17/1.39 tff(f4813,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X7) | ~zero_at1(sK0,X7) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f2019])). 1.17/1.39 tff(f4814,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f2387])). 1.17/1.39 tff(f4834,plain,( 1.17/1.39 $less($sum(1,-1),sK2) | ~spl8_35), 1.17/1.39 inference(evaluation,[],[f364])). 1.17/1.39 tff(f4835,plain,( 1.17/1.39 $less(0,sK2) | ~spl8_35), 1.17/1.39 inference(evaluation,[],[f4834])). 1.17/1.39 tff(f4836,plain,( 1.17/1.39 $less(0,sK2) | ~spl8_35), 1.17/1.39 inference(evaluation,[],[f365])). 1.17/1.39 tff(f4837,plain,( 1.17/1.39 $less(0,sK2) | ~spl8_35), 1.17/1.39 inference(evaluation,[],[f475])). 1.17/1.39 tff(f4838,plain,( 1.17/1.39 $less($sum(1,-1),sK2) | ~spl8_35), 1.17/1.39 inference(evaluation,[],[f527])). 1.17/1.39 tff(f4839,plain,( 1.17/1.39 $less(0,sK2) | ~spl8_35), 1.17/1.39 inference(evaluation,[],[f4838])). 1.17/1.39 tff(f4840,plain,( 1.17/1.39 $less(0,sK2) | ~spl8_35), 1.17/1.39 inference(evaluation,[],[f528])). 1.17/1.39 tff(f4849,plain,( 1.17/1.39 ~zero_at1(sK0,$sum($uminus(sK2),sK2)) | ~spl8_48), 1.17/1.39 inference(evaluation,[],[f2735])). 1.17/1.39 tff(f4854,plain,( 1.17/1.39 $less($sum(2,-1),sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f555])). 1.17/1.39 tff(f4855,plain,( 1.17/1.39 $less(1,sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f4854])). 1.17/1.39 tff(f4856,plain,( 1.17/1.39 $less(1,sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f556])). 1.17/1.39 tff(f4857,plain,( 1.17/1.39 $less(1,sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f589])). 1.17/1.39 tff(f4858,plain,( 1.17/1.39 $less(1,sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f957])). 1.17/1.39 tff(f4859,plain,( 1.17/1.39 $less($sum(2,-1),sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f1338])). 1.17/1.39 tff(f4860,plain,( 1.17/1.39 $less(1,sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f4859])). 1.17/1.39 tff(f4861,plain,( 1.17/1.39 $less(1,sK2) | ~spl8_57), 1.17/1.39 inference(evaluation,[],[f1339])). 1.17/1.39 tff(f4865,plain,( 1.17/1.39 $less($uminus(sK2),0) | ~spl8_117), 1.17/1.39 inference(evaluation,[],[f2551])). 1.17/1.39 tff(f4882,plain,( 1.17/1.39 $less($sum(3,-1),sK2) | ~spl8_177), 1.17/1.39 inference(evaluation,[],[f1556])). 1.17/1.39 tff(f4883,plain,( 1.17/1.39 $less(2,sK2) | ~spl8_177), 1.17/1.39 inference(evaluation,[],[f4882])). 1.17/1.39 tff(f4884,plain,( 1.17/1.39 $less(2,sK2) | ~spl8_177), 1.17/1.39 inference(evaluation,[],[f1557])). 1.17/1.39 tff(f4888,plain,( 1.17/1.39 $less($sum(4,-1),sK2) | ~spl8_187), 1.17/1.39 inference(evaluation,[],[f1765])). 1.17/1.39 tff(f4889,plain,( 1.17/1.39 $less(3,sK2) | ~spl8_187), 1.17/1.39 inference(evaluation,[],[f4888])). 1.17/1.39 tff(f4890,plain,( 1.17/1.39 $less(3,sK2) | ~spl8_187), 1.17/1.39 inference(evaluation,[],[f1766])). 1.17/1.39 tff(f4894,plain,( 1.17/1.39 $less($sum(5,-1),sK2) | ~spl8_209), 1.17/1.39 inference(evaluation,[],[f2508])). 1.17/1.39 tff(f4895,plain,( 1.17/1.39 $less(4,sK2) | ~spl8_209), 1.17/1.39 inference(evaluation,[],[f4894])). 1.17/1.39 tff(f4896,plain,( 1.17/1.39 $less(4,sK2) | ~spl8_209), 1.17/1.39 inference(evaluation,[],[f2509])). 1.17/1.39 tff(f4903,plain,( 1.17/1.39 $less($sum(6,-1),sK2) | ~spl8_255), 1.17/1.39 inference(evaluation,[],[f2760])). 1.17/1.39 tff(f4904,plain,( 1.17/1.39 $less(5,sK2) | ~spl8_255), 1.17/1.39 inference(evaluation,[],[f4903])). 1.17/1.39 tff(f4905,plain,( 1.17/1.39 $less(5,sK2) | ~spl8_255), 1.17/1.39 inference(evaluation,[],[f2761])). 1.17/1.39 tff(f4906,plain,( 1.17/1.39 $less(5,sK2) | ~spl8_255), 1.17/1.39 inference(evaluation,[],[f4341])). 1.17/1.39 tff(f4908,plain,( 1.17/1.39 spl8_542 <=> ! [X0 : list_int] : (~zero_at1(X0,sK2) | ~zero_at1(X0,$uminus(sK2)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_542])])). 1.17/1.39 tff(f4910,plain,( 1.17/1.39 spl8_542 | spl8_48 | ~spl8_258), 1.17/1.39 inference(avatar_split_clause,[],[f3600,f2694,f483,f4908])). 1.17/1.39 tff(f4912,plain,( 1.17/1.39 spl8_545 <=> ~zero_at1(sK0,$uminus(sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_545])])). 1.17/1.39 tff(f4914,plain,( 1.17/1.39 ~spl8_545 | spl8_48 | ~spl8_258), 1.17/1.39 inference(avatar_split_clause,[],[f3599,f2694,f483,f4912])). 1.17/1.39 tff(f4915,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f4343,f2669,f2515])). 1.17/1.39 tff(f4916,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f4342,f2669,f2515])). 1.17/1.39 tff(f4917,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f4906,f2669,f2515])). 1.17/1.39 tff(f4918,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f2762,f2669,f2515])). 1.17/1.39 tff(f4919,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f4905,f2669,f2515])). 1.17/1.39 tff(f4920,plain,( 1.17/1.39 spl8_226 | spl8_255), 1.17/1.39 inference(avatar_split_clause,[],[f4904,f2669,f2515])). 1.17/1.39 tff(f4922,plain,( 1.17/1.39 spl8_546 <=> ! [X0 : list_int] : (~zero_at1(X0,-1) | ~zero_at1(X0,$uminus(sK2)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_546])])). 1.17/1.39 tff(f4924,plain,( 1.17/1.39 spl8_546 | spl8_48 | ~spl8_242), 1.17/1.39 inference(avatar_split_clause,[],[f3261,f2613,f483,f4922])). 1.17/1.39 tff(f4925,plain,( 1.17/1.39 spl8_190 | spl8_209), 1.17/1.39 inference(avatar_split_clause,[],[f2510,f2001,f1772])). 1.17/1.39 tff(f4926,plain,( 1.17/1.39 spl8_190 | spl8_209), 1.17/1.39 inference(avatar_split_clause,[],[f4896,f2001,f1772])). 1.17/1.39 tff(f4927,plain,( 1.17/1.39 spl8_190 | spl8_209), 1.17/1.39 inference(avatar_split_clause,[],[f4895,f2001,f1772])). 1.17/1.39 tff(f4928,plain,( 1.17/1.39 spl8_182 | spl8_187), 1.17/1.39 inference(avatar_split_clause,[],[f1767,f1646,f1563])). 1.17/1.39 tff(f4929,plain,( 1.17/1.39 spl8_182 | spl8_187), 1.17/1.39 inference(avatar_split_clause,[],[f4890,f1646,f1563])). 1.17/1.39 tff(f4930,plain,( 1.17/1.39 spl8_182 | spl8_187), 1.17/1.39 inference(avatar_split_clause,[],[f4889,f1646,f1563])). 1.17/1.39 tff(f4931,plain,( 1.17/1.39 spl8_60 | spl8_177), 1.17/1.39 inference(avatar_split_clause,[],[f1558,f1460,f562])). 1.17/1.39 tff(f4932,plain,( 1.17/1.39 spl8_60 | spl8_177), 1.17/1.39 inference(avatar_split_clause,[],[f4884,f1460,f562])). 1.17/1.39 tff(f4933,plain,( 1.17/1.39 spl8_60 | spl8_177), 1.17/1.39 inference(avatar_split_clause,[],[f4883,f1460,f562])). 1.17/1.39 tff(f4934,plain,( 1.17/1.39 ~spl8_147 | ~spl8_18 | ~spl8_52 | spl8_159), 1.17/1.39 inference(avatar_split_clause,[],[f1361,f1317,f490,f280,f1151])). 1.17/1.39 tff(f4935,plain,( 1.17/1.39 ~zero_at1(sK0,length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_52 | ~spl8_159)), 1.17/1.39 inference(forward_demodulation,[],[f1360,f281])). 1.17/1.39 tff(f4936,plain,( 1.17/1.39 ~spl8_147 | ~spl8_18 | ~spl8_52 | spl8_159), 1.17/1.39 inference(avatar_split_clause,[],[f4935,f1317,f490,f280,f1151])). 1.17/1.39 tff(f4937,plain,( 1.17/1.39 ~spl8_157 | ~spl8_52 | spl8_159), 1.17/1.39 inference(avatar_split_clause,[],[f1951,f1317,f490,f1304])). 1.17/1.39 tff(f4938,plain,( 1.17/1.39 ~spl8_147 | ~spl8_18 | ~spl8_52 | spl8_159), 1.17/1.39 inference(avatar_split_clause,[],[f1358,f1317,f490,f280,f1151])). 1.17/1.39 tff(f4939,plain,( 1.17/1.39 ~zero_at1(sK0,length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_52 | ~spl8_159)), 1.17/1.39 inference(forward_demodulation,[],[f1357,f281])). 1.17/1.39 tff(f4940,plain,( 1.17/1.39 ~spl8_147 | ~spl8_18 | ~spl8_52 | spl8_159), 1.17/1.39 inference(avatar_split_clause,[],[f4939,f1317,f490,f280,f1151])). 1.17/1.39 tff(f4941,plain,( 1.17/1.39 ~spl8_157 | ~spl8_52 | spl8_159), 1.17/1.39 inference(avatar_split_clause,[],[f1964,f1317,f490,f1304])). 1.17/1.39 tff(f4946,plain,( 1.17/1.39 spl8_132 <=> $less(sK6(sK0),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_132])])). 1.17/1.39 tff(f4948,plain,( 1.17/1.39 spl8_132 | spl8_8 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f4527,f1061,f667,f4946])). 1.17/1.39 tff(f4950,plain,( 1.17/1.39 spl8_548 <=> ! [X0 : $int] : (~$less(sK2,X0) | $less(sK6(sK0),X0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_548])])). 1.17/1.39 tff(f4952,plain,( 1.17/1.39 spl8_8 | spl8_548 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3207,f1061,f4950,f667])). 1.17/1.39 tff(f4954,plain,( 1.17/1.39 spl8_141 <=> ~$less(sK2,$sum(1,sK6(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_141])])). 1.17/1.39 tff(f4956,plain,( 1.17/1.39 spl8_8 | ~spl8_141 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3206,f1061,f4954,f667])). 1.17/1.39 tff(f4957,plain,( 1.17/1.39 spl8_8 | spl8_132 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3168,f1061,f4946,f667])). 1.17/1.39 tff(f4959,plain,( 1.17/1.39 spl8_550 <=> length1(int,t2tb1(sK0)) = 0), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_550])])). 1.17/1.39 tff(f4961,plain,( 1.17/1.39 spl8_550 | spl8_24 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3164,f1061,f297,f4959])). 1.17/1.39 tff(f4963,plain,( 1.17/1.39 spl8_552 <=> ! [X0 : $int] : ($less(X0,sK2) | ~$less(X0,sK6(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_552])])). 1.17/1.39 tff(f4965,plain,( 1.17/1.39 spl8_8 | spl8_552 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f3159,f1061,f4963,f667])). 1.17/1.39 tff(f4966,plain,( 1.17/1.39 spl8_132 | spl8_8 | ~spl8_128), 1.17/1.39 inference(avatar_split_clause,[],[f1541,f1061,f667,f4946])). 1.17/1.39 tff(f4967,plain,( 1.17/1.39 spl8_48 | spl8_117), 1.17/1.39 inference(avatar_split_clause,[],[f2552,f984,f483])). 1.17/1.39 tff(f4968,plain,( 1.17/1.39 spl8_48 | spl8_117), 1.17/1.39 inference(avatar_split_clause,[],[f4865,f984,f483])). 1.17/1.39 tff(f4969,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f1340,f544,f371])). 1.17/1.39 tff(f4970,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f4861,f544,f371])). 1.17/1.39 tff(f4971,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f4860,f544,f371])). 1.17/1.39 tff(f4972,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f960,f544,f371])). 1.17/1.39 tff(f4973,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f959,f544,f371])). 1.17/1.39 tff(f4974,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f958,f544,f371])). 1.17/1.39 tff(f4975,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f4858,f544,f371])). 1.17/1.39 tff(f4976,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f591,f544,f371])). 1.17/1.39 tff(f4977,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f590,f544,f371])). 1.17/1.39 tff(f4978,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f4857,f544,f371])). 1.17/1.39 tff(f4979,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f557,f544,f371])). 1.17/1.39 tff(f4980,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f4856,f544,f371])). 1.17/1.39 tff(f4981,plain,( 1.17/1.39 spl8_40 | spl8_57), 1.17/1.39 inference(avatar_split_clause,[],[f4855,f544,f371])). 1.17/1.39 tff(f4983,plain,( 1.17/1.39 spl8_24 | ~spl8_48), 1.17/1.39 inference(avatar_split_clause,[],[f2744,f483,f297])). 1.17/1.39 tff(f4984,plain,( 1.17/1.39 ~spl8_29 | ~spl8_48), 1.17/1.39 inference(avatar_split_clause,[],[f2738,f483,f308])). 1.17/1.39 tff(f4985,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,$uminus(sK2))) | ~spl8_48), 1.17/1.39 inference(forward_demodulation,[],[f4849,f55])). 1.17/1.39 tff(f4986,plain,( 1.17/1.39 ~zero_at1(sK0,0) | ~spl8_48), 1.17/1.39 inference(forward_demodulation,[],[f4985,f59])). 1.17/1.39 tff(f4987,plain,( 1.17/1.39 ~spl8_29 | ~spl8_48), 1.17/1.39 inference(avatar_split_clause,[],[f4986,f483,f308])). 1.17/1.39 tff(f4988,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f529,f349,f297])). 1.17/1.39 tff(f4989,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f4840,f349,f297])). 1.17/1.39 tff(f4990,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f4839,f349,f297])). 1.17/1.39 tff(f4991,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f477,f349,f297])). 1.17/1.39 tff(f4992,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f476,f349,f297])). 1.17/1.39 tff(f4993,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f4837,f349,f297])). 1.17/1.39 tff(f4994,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f366,f349,f297])). 1.17/1.39 tff(f4995,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f4836,f349,f297])). 1.17/1.39 tff(f4996,plain,( 1.17/1.39 spl8_24 | spl8_35), 1.17/1.39 inference(avatar_split_clause,[],[f4835,f349,f297])). 1.17/1.39 tff(f4997,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X7) | ~zero_at1(sK0,X7) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(subsumption_resolution,[],[f4813,f193])). 1.17/1.39 tff(f4998,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK2,sK6(sK1)),X7) | ~zero_at1(sK0,X7) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(forward_demodulation,[],[f4997,f177])). 1.17/1.39 tff(f5000,plain,( 1.17/1.39 ~spl8_29 | ~spl8_24), 1.17/1.39 inference(avatar_split_clause,[],[f1147,f297,f308])). 1.17/1.39 tff(f5001,plain,( 1.17/1.39 ~spl8_29 | ~spl8_24), 1.17/1.39 inference(avatar_split_clause,[],[f4803,f297,f308])). 1.17/1.39 tff(f5002,plain,( 1.17/1.39 ~spl8_29 | ~spl8_0 | ~spl8_24), 1.17/1.39 inference(avatar_split_clause,[],[f4545,f297,f1045,f308])). 1.17/1.39 tff(f5035,plain,( 1.17/1.39 ( ! [X3:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(sK1)),X3) | ~zero_at1(sK0,X3) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(superposition,[],[f989,f673])). 1.17/1.39 tff(f5039,plain,( 1.17/1.39 ( ! [X5:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(superposition,[],[f989,f195])). 1.17/1.39 tff(f5040,plain,( 1.17/1.39 ( ! [X6:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),X6) | ~zero_at1(sK0,X6) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(superposition,[],[f989,f757])). 1.17/1.39 tff(f5042,plain,( 1.17/1.39 ( ! [X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X9) | ~zero_at1(sK0,X9) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(superposition,[],[f989,f660])). 1.17/1.39 tff(f5043,plain,( 1.17/1.39 ( ! [X9:$int] : (~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X9) | ~zero_at1(sK0,X9) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f5042])). 1.17/1.39 tff(f5045,plain,( 1.17/1.39 ( ! [X6:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X6) | ~zero_at1(sK0,X6) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f5040])). 1.17/1.39 tff(f5046,plain,( 1.17/1.39 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f5039])). 1.17/1.39 tff(f5050,plain,( 1.17/1.39 ( ! [X3:$int] : (~$less($sum(sK2,sK6(sK1)),X3) | ~zero_at1(sK0,X3) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_24), 1.17/1.39 inference(trivial_inequality_removal,[],[f5035])). 1.17/1.39 tff(f5055,plain,( 1.17/1.39 ( ! [X9:$int] : (~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X9) | ~zero_at1(sK0,X9) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(subsumption_resolution,[],[f5043,f193])). 1.17/1.39 tff(f5056,plain,( 1.17/1.39 ( ! [X9:$int] : (~$less($sum(sK2,sK6(sK1)),X9) | ~zero_at1(sK0,X9) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(forward_demodulation,[],[f5055,f177])). 1.17/1.39 tff(f5226,plain,( 1.17/1.39 $less(-3,$sum(sK2,1)) | ~spl8_443), 1.17/1.39 inference(resolution,[],[f4438,f64])). 1.17/1.39 tff(f5227,plain,( 1.17/1.39 $less($sum(-3,-1),sK2) | ~spl8_443), 1.17/1.39 inference(evaluation,[],[f5226])). 1.17/1.39 tff(f5228,plain,( 1.17/1.39 $less(-4,sK2) | ~spl8_443), 1.17/1.39 inference(evaluation,[],[f5227])). 1.17/1.39 tff(f5230,plain,( 1.17/1.39 spl8_554 <=> $less(-4,sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_554])])). 1.17/1.39 tff(f5232,plain,( 1.17/1.39 spl8_554 | spl8_443), 1.17/1.39 inference(avatar_split_clause,[],[f5228,f4437,f5230])). 1.17/1.39 tff(f5265,plain,( 1.17/1.39 $less(0,sK7(sK0,$sum(sK2,sK6(sK1)))) | 0 = sK7(sK0,$sum(sK2,sK6(sK1))) | ~spl8_213), 1.17/1.39 inference(resolution,[],[f2076,f62])). 1.17/1.39 tff(f5266,plain,( 1.17/1.39 $less(0,sK7(sK0,$sum(sK2,sK6(sK1)))) | 0 = sK7(sK0,$sum(sK2,sK6(sK1))) | ~spl8_213), 1.17/1.39 inference(resolution,[],[f2076,f62])). 1.17/1.39 tff(f5267,plain,( 1.17/1.39 $less(0,$sum(sK7(sK0,$sum(sK2,sK6(sK1))),1)) | ~spl8_213), 1.17/1.39 inference(resolution,[],[f2076,f64])). 1.17/1.39 tff(f5268,plain,( 1.17/1.39 $less($uminus(1),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_213), 1.17/1.39 inference(evaluation,[],[f5267])). 1.17/1.39 tff(f5269,plain,( 1.17/1.39 $less(-1,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_213), 1.17/1.39 inference(evaluation,[],[f5268])). 1.17/1.39 tff(f5271,plain,( 1.17/1.39 spl8_556 <=> 0 = sK7(sK0,$sum(sK2,sK6(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_556])])). 1.17/1.39 tff(f5274,plain,( 1.17/1.39 spl8_558 <=> $less(0,sK7(sK0,$sum(sK2,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_558])])). 1.17/1.39 tff(f5276,plain,( 1.17/1.39 spl8_556 | spl8_558 | spl8_213), 1.17/1.39 inference(avatar_split_clause,[],[f5265,f2075,f5274,f5271])). 1.17/1.39 tff(f5277,plain,( 1.17/1.39 spl8_556 | spl8_558 | spl8_213), 1.17/1.39 inference(avatar_split_clause,[],[f5266,f2075,f5274,f5271])). 1.17/1.39 tff(f5279,plain,( 1.17/1.39 spl8_560 <=> $less(-1,sK7(sK0,$sum(sK2,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_560])])). 1.17/1.39 tff(f5281,plain,( 1.17/1.39 spl8_560 | spl8_213), 1.17/1.39 inference(avatar_split_clause,[],[f5269,f2075,f5279])). 1.17/1.39 tff(f5291,plain,( 1.17/1.39 $less(sK2,$sum(sK2,sK7(sK1,sK6(sK1)))) | $sum(sK2,sK7(sK1,sK6(sK1))) = sK2 | ~spl8_415), 1.17/1.39 inference(resolution,[],[f4353,f62])). 1.17/1.39 tff(f5292,plain,( 1.17/1.39 $less(sK2,$sum(sK2,sK7(sK1,sK6(sK1)))) | $sum(sK2,sK7(sK1,sK6(sK1))) = sK2 | ~spl8_415), 1.17/1.39 inference(resolution,[],[f4353,f62])). 1.17/1.39 tff(f5293,plain,( 1.17/1.39 $less(sK2,$sum($sum(sK2,sK7(sK1,sK6(sK1))),1)) | ~spl8_415), 1.17/1.39 inference(resolution,[],[f4353,f64])). 1.17/1.39 tff(f5295,plain,( 1.17/1.39 spl8_562 <=> $sum(sK2,sK7(sK1,sK6(sK1))) = sK2), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_562])])). 1.17/1.39 tff(f5298,plain,( 1.17/1.39 spl8_564 <=> $less(sK2,$sum(sK2,sK7(sK1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_564])])). 1.17/1.39 tff(f5300,plain,( 1.17/1.39 spl8_562 | spl8_564 | spl8_415), 1.17/1.39 inference(avatar_split_clause,[],[f5291,f4352,f5298,f5295])). 1.17/1.39 tff(f5301,plain,( 1.17/1.39 spl8_562 | spl8_564 | spl8_415), 1.17/1.39 inference(avatar_split_clause,[],[f5292,f4352,f5298,f5295])). 1.17/1.39 tff(f5302,plain,( 1.17/1.39 $less(sK2,$sum(sK2,$sum(sK7(sK1,sK6(sK1)),1))) | ~spl8_415), 1.17/1.39 inference(forward_demodulation,[],[f5293,f56])). 1.17/1.39 tff(f5303,plain,( 1.17/1.39 $less(sK2,$sum(sK2,$sum(1,sK7(sK1,sK6(sK1))))) | ~spl8_415), 1.17/1.39 inference(forward_demodulation,[],[f5302,f55])). 1.17/1.39 tff(f5305,plain,( 1.17/1.39 spl8_566 <=> $less(sK2,$sum(sK2,$sum(1,sK7(sK1,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_566])])). 1.17/1.39 tff(f5307,plain,( 1.17/1.39 spl8_566 | spl8_415), 1.17/1.39 inference(avatar_split_clause,[],[f5303,f4352,f5305])). 1.17/1.39 tff(f5308,plain,( 1.17/1.39 ( ! [X0:$int] : ($less(sK7(sK1,sK6(sK1)),0) | ~zero_at1(sK1,X0) | ~$less(sK7(sK1,sK6(sK1)),X0)) ) | ~spl8_416), 1.17/1.39 inference(resolution,[],[f4358,f1352])). 1.17/1.39 tff(f5309,plain,( 1.17/1.39 $less($sum(sK2,sK7(sK1,sK6(sK1))),0) | $sum(sK2,sK7(sK1,sK6(sK1))) = sK2 | (~spl8_5 | ~spl8_46 | ~spl8_94 | ~spl8_416)), 1.17/1.39 inference(resolution,[],[f4358,f1148])). 1.17/1.39 tff(f5311,plain,( 1.17/1.39 spl8_568 <=> ! [X0 : $int] : (~zero_at1(sK1,X0) | ~$less(sK7(sK1,sK6(sK1)),X0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_568])])). 1.17/1.39 tff(f5314,plain,( 1.17/1.39 spl8_570 <=> $less(sK7(sK1,sK6(sK1)),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_570])])). 1.17/1.39 tff(f5316,plain,( 1.17/1.39 spl8_568 | spl8_570 | ~spl8_416), 1.17/1.39 inference(avatar_split_clause,[],[f5308,f4357,f5314,f5311])). 1.17/1.39 tff(f5318,plain,( 1.17/1.39 spl8_572 <=> $less($sum(sK2,sK7(sK1,sK6(sK1))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_572])])). 1.17/1.39 tff(f5320,plain,( 1.17/1.39 spl8_562 | spl8_572 | spl8_5 | ~spl8_46 | ~spl8_94 | ~spl8_416), 1.17/1.39 inference(avatar_split_clause,[],[f5309,f4357,f843,f479,f276,f5318,f5295])). 1.17/1.39 tff(f5375,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(1,sK2)) | ~$less($sum(sK2,sK6(sK1)),0) | (~spl8_5 | ~spl8_174)), 1.17/1.39 inference(resolution,[],[f1432,f435])). 1.17/1.39 tff(f5376,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,$sum(sK2,sK6(sK1)))) | (~spl8_24 | ~spl8_174)), 1.17/1.39 inference(resolution,[],[f1432,f4800])). 1.17/1.39 tff(f5381,plain,( 1.17/1.39 spl8_491 <=> ~$less($sum(sK2,sK6(sK1)),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_491])])). 1.17/1.39 tff(f5382,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(sK1)),0) | ~spl8_491), 1.17/1.39 inference(avatar_component_clause,[],[f5381])). 1.17/1.39 tff(f5384,plain,( 1.17/1.39 spl8_575 <=> ~zero_at1(sK0,$sum(1,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_575])])). 1.17/1.39 tff(f5386,plain,( 1.17/1.39 ~spl8_491 | ~spl8_575 | spl8_5 | ~spl8_174), 1.17/1.39 inference(avatar_split_clause,[],[f5375,f1431,f276,f5384,f5381])). 1.17/1.39 tff(f5388,plain,( 1.17/1.39 spl8_577 <=> ~zero_at1(sK0,$sum(sK2,$sum(sK2,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_577])])). 1.17/1.39 tff(f5390,plain,( 1.17/1.39 ~spl8_577 | ~spl8_24 | ~spl8_174), 1.17/1.39 inference(avatar_split_clause,[],[f5376,f1431,f297,f5388])). 1.17/1.39 tff(f5393,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,sK6(sK1))) | length1(int,t2tb1(sK0)) = $sum(sK2,sK6(sK1)) | ~spl8_221), 1.17/1.39 inference(resolution,[],[f2109,f62])). 1.17/1.39 tff(f5394,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,sK6(sK1))) | length1(int,t2tb1(sK0)) = $sum(sK2,sK6(sK1)) | ~spl8_221), 1.17/1.39 inference(resolution,[],[f2109,f62])). 1.17/1.39 tff(f5395,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum($sum(sK2,sK6(sK1)),1)) | ~spl8_221), 1.17/1.39 inference(resolution,[],[f2109,f64])). 1.17/1.39 tff(f5397,plain,( 1.17/1.39 spl8_578 <=> length1(int,t2tb1(sK0)) = $sum(sK2,sK6(sK1))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_578])])). 1.17/1.39 tff(f5400,plain,( 1.17/1.39 spl8_580 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,sK6(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_580])])). 1.17/1.39 tff(f5402,plain,( 1.17/1.39 spl8_578 | spl8_580 | spl8_221), 1.17/1.39 inference(avatar_split_clause,[],[f5393,f2108,f5400,f5397])). 1.17/1.39 tff(f5403,plain,( 1.17/1.39 spl8_578 | spl8_580 | spl8_221), 1.17/1.39 inference(avatar_split_clause,[],[f5394,f2108,f5400,f5397])). 1.17/1.39 tff(f5404,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK6(sK1),1))) | ~spl8_221), 1.17/1.39 inference(forward_demodulation,[],[f5395,f56])). 1.17/1.39 tff(f5405,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(1,sK6(sK1)))) | ~spl8_221), 1.17/1.39 inference(forward_demodulation,[],[f5404,f55])). 1.17/1.39 tff(f5407,plain,( 1.17/1.39 spl8_582 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_582])])). 1.17/1.39 tff(f5409,plain,( 1.17/1.39 spl8_582 | spl8_221), 1.17/1.39 inference(avatar_split_clause,[],[f5405,f2108,f5407])). 1.17/1.39 tff(f5443,plain,( 1.17/1.39 $less(0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | 0 = sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | ~spl8_419), 1.17/1.39 inference(resolution,[],[f4361,f62])). 1.17/1.39 tff(f5444,plain,( 1.17/1.39 $less(0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | 0 = sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))) | ~spl8_419), 1.17/1.39 inference(resolution,[],[f4361,f62])). 1.17/1.39 tff(f5445,plain,( 1.17/1.39 $less(0,$sum(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),1)) | ~spl8_419), 1.17/1.39 inference(resolution,[],[f4361,f64])). 1.17/1.39 tff(f5446,plain,( 1.17/1.39 $less($uminus(1),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_419), 1.17/1.39 inference(evaluation,[],[f5445])). 1.17/1.39 tff(f5447,plain,( 1.17/1.39 $less(-1,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_419), 1.17/1.39 inference(evaluation,[],[f5446])). 1.17/1.39 tff(f5449,plain,( 1.17/1.39 spl8_584 <=> 0 = sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_584])])). 1.17/1.39 tff(f5452,plain,( 1.17/1.39 spl8_586 <=> $less(0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_586])])). 1.17/1.39 tff(f5454,plain,( 1.17/1.39 spl8_584 | spl8_586 | spl8_419), 1.17/1.39 inference(avatar_split_clause,[],[f5443,f4360,f5452,f5449])). 1.17/1.39 tff(f5455,plain,( 1.17/1.39 spl8_584 | spl8_586 | spl8_419), 1.17/1.39 inference(avatar_split_clause,[],[f5444,f4360,f5452,f5449])). 1.17/1.39 tff(f5457,plain,( 1.17/1.39 spl8_588 <=> $less(-1,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_588])])). 1.17/1.39 tff(f5459,plain,( 1.17/1.39 spl8_588 | spl8_419), 1.17/1.39 inference(avatar_split_clause,[],[f5447,f4360,f5457])). 1.17/1.39 tff(f5476,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(sK1)),$sum(sK7(sK0,$sum(sK2,sK6(sK1))),1)) | ~spl8_216), 1.17/1.39 inference(resolution,[],[f2088,f72])). 1.17/1.39 tff(f5479,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(sK1)),$sum(1,sK7(sK0,$sum(sK2,sK6(sK1))))) | ~spl8_216), 1.17/1.39 inference(forward_demodulation,[],[f5476,f55])). 1.17/1.39 tff(f5481,plain,( 1.17/1.39 spl8_591 <=> ~$less($sum(sK2,sK6(sK1)),$sum(1,sK7(sK0,$sum(sK2,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_591])])). 1.17/1.39 tff(f5483,plain,( 1.17/1.39 ~spl8_591 | ~spl8_216), 1.17/1.39 inference(avatar_split_clause,[],[f5479,f2087,f5481])). 1.17/1.39 tff(f5490,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(1,sK2)) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),0) | (~spl8_5 | ~spl8_424)), 1.17/1.39 inference(resolution,[],[f4376,f435])). 1.17/1.39 tff(f5491,plain,( 1.17/1.39 ~zero_at1(sK0,$sum(sK2,$sum(sK2,sK7(sK1,sK6(sK1))))) | (~spl8_24 | ~spl8_424)), 1.17/1.39 inference(resolution,[],[f4376,f4800])). 1.17/1.39 tff(f5496,plain,( 1.17/1.39 spl8_573 <=> ~$less($sum(sK2,sK7(sK1,sK6(sK1))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_573])])). 1.17/1.39 tff(f5497,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),0) | ~spl8_573), 1.17/1.39 inference(avatar_component_clause,[],[f5496])). 1.17/1.39 tff(f5498,plain,( 1.17/1.39 ~spl8_573 | ~spl8_575 | spl8_5 | ~spl8_424), 1.17/1.39 inference(avatar_split_clause,[],[f5490,f4375,f276,f5384,f5496])). 1.17/1.39 tff(f5500,plain,( 1.17/1.39 spl8_593 <=> ~zero_at1(sK0,$sum(sK2,$sum(sK2,sK7(sK1,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_593])])). 1.17/1.39 tff(f5502,plain,( 1.17/1.39 ~spl8_593 | ~spl8_24 | ~spl8_424), 1.17/1.39 inference(avatar_split_clause,[],[f5491,f4375,f297,f5500])). 1.17/1.39 tff(f5515,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,sK7(sK1,sK6(sK1)))) | length1(int,t2tb1(sK0)) = $sum(sK2,sK7(sK1,sK6(sK1))) | ~spl8_427), 1.17/1.39 inference(resolution,[],[f4381,f62])). 1.17/1.39 tff(f5516,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,sK7(sK1,sK6(sK1)))) | length1(int,t2tb1(sK0)) = $sum(sK2,sK7(sK1,sK6(sK1))) | ~spl8_427), 1.17/1.39 inference(resolution,[],[f4381,f62])). 1.17/1.39 tff(f5517,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum($sum(sK2,sK7(sK1,sK6(sK1))),1)) | ~spl8_427), 1.17/1.39 inference(resolution,[],[f4381,f64])). 1.17/1.39 tff(f5519,plain,( 1.17/1.39 spl8_594 <=> length1(int,t2tb1(sK0)) = $sum(sK2,sK7(sK1,sK6(sK1)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_594])])). 1.17/1.39 tff(f5522,plain,( 1.17/1.39 spl8_596 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,sK7(sK1,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_596])])). 1.17/1.39 tff(f5524,plain,( 1.17/1.39 spl8_594 | spl8_596 | spl8_427), 1.17/1.39 inference(avatar_split_clause,[],[f5515,f4380,f5522,f5519])). 1.17/1.39 tff(f5525,plain,( 1.17/1.39 spl8_594 | spl8_596 | spl8_427), 1.17/1.39 inference(avatar_split_clause,[],[f5516,f4380,f5522,f5519])). 1.17/1.39 tff(f5526,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK7(sK1,sK6(sK1)),1))) | ~spl8_427), 1.17/1.39 inference(forward_demodulation,[],[f5517,f56])). 1.17/1.39 tff(f5527,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(1,sK7(sK1,sK6(sK1))))) | ~spl8_427), 1.17/1.39 inference(forward_demodulation,[],[f5526,f55])). 1.17/1.39 tff(f5529,plain,( 1.17/1.39 spl8_598 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(1,sK7(sK1,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_598])])). 1.17/1.39 tff(f5531,plain,( 1.17/1.39 spl8_598 | spl8_427), 1.17/1.39 inference(avatar_split_clause,[],[f5527,f4380,f5529])). 1.17/1.39 tff(f5626,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),$sum(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),1)) | ~spl8_420), 1.17/1.39 inference(resolution,[],[f4366,f72])). 1.17/1.39 tff(f5629,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),$sum(1,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))))) | ~spl8_420), 1.17/1.39 inference(forward_demodulation,[],[f5626,f55])). 1.17/1.39 tff(f5631,plain,( 1.17/1.39 spl8_601 <=> ~$less($sum(sK2,sK7(sK1,sK6(sK1))),$sum(1,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_601])])). 1.17/1.39 tff(f5633,plain,( 1.17/1.39 ~spl8_601 | ~spl8_420), 1.17/1.39 inference(avatar_split_clause,[],[f5629,f4365,f5631])). 1.17/1.39 tff(f5635,plain,( 1.17/1.39 ~$less(sK6(sK0),0) | ~spl8_78), 1.17/1.39 inference(resolution,[],[f1379,f777])). 1.17/1.39 tff(f5651,plain,( 1.17/1.39 spl8_603 <=> ~$less(sK6(sK0),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_603])])). 1.17/1.39 tff(f5653,plain,( 1.17/1.39 ~spl8_603 | ~spl8_78), 1.17/1.39 inference(avatar_split_clause,[],[f5635,f776,f5651])). 1.17/1.39 tff(f5668,plain,( 1.17/1.39 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(X0,-1),length1(int,t2tb1(sK5))) | $less($sum(X0,-1),0) | ~no_zero1(sK5) | 0 = X0) ) | ~spl8_36), 1.17/1.39 inference(superposition,[],[f196,f816])). 1.17/1.39 tff(f5676,plain,( 1.17/1.39 ( ! [X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X9,t2tb1(sK1))) | ~$less($sum(X9,-1),length1(int,t2tb1(sK5))) | $less($sum(X9,-1),0) | ~no_zero1(tb2t1(t2tb1(sK5))) | 0 = X9) ) | ~spl8_36), 1.17/1.39 inference(superposition,[],[f729,f816])). 1.17/1.39 tff(f5684,plain,( 1.17/1.39 ( ! [X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X9,t2tb1(sK1))) | ~$less($sum(X9,-1),length1(int,t2tb1(sK5))) | $less(X9,$uminus(-1)) | ~no_zero1(tb2t1(t2tb1(sK5))) | 0 = X9) ) | ~spl8_36), 1.17/1.39 inference(evaluation,[],[f5676])). 1.17/1.39 tff(f5685,plain,( 1.17/1.39 ( ! [X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X9,t2tb1(sK1))) | ~$less($sum(X9,-1),length1(int,t2tb1(sK5))) | $less(X9,1) | ~no_zero1(tb2t1(t2tb1(sK5))) | 0 = X9) ) | ~spl8_36), 1.17/1.39 inference(evaluation,[],[f5684])). 1.17/1.39 tff(f5688,plain,( 1.17/1.39 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(X0,-1),length1(int,t2tb1(sK5))) | $less(X0,$uminus(-1)) | ~no_zero1(sK5) | 0 = X0) ) | ~spl8_36), 1.17/1.39 inference(evaluation,[],[f5668])). 1.17/1.39 tff(f5689,plain,( 1.17/1.39 ( ! [X0:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | ~$less($sum(X0,-1),length1(int,t2tb1(sK5))) | $less(X0,1) | ~no_zero1(sK5) | 0 = X0) ) | ~spl8_36), 1.17/1.39 inference(evaluation,[],[f5688])). 1.17/1.39 tff(f5691,plain,( 1.17/1.39 spl8_605 <=> ~no_zero1(sK5)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_605])])). 1.17/1.39 tff(f5692,plain,( 1.17/1.39 ~no_zero1(sK5) | ~spl8_605), 1.17/1.39 inference(avatar_component_clause,[],[f5691])). 1.17/1.39 tff(f5694,plain,( 1.17/1.39 spl8_606 <=> ! [X0 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X0,t2tb1(sK1))) | 0 = X0 | $less(X0,1) | ~$less($sum(X0,-1),length1(int,t2tb1(sK5))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_606])])). 1.17/1.39 tff(f5696,plain,( 1.17/1.39 ~spl8_605 | spl8_606 | ~spl8_36), 1.17/1.39 inference(avatar_split_clause,[],[f5689,f356,f5694,f5691])). 1.17/1.39 tff(f5699,plain,( 1.17/1.39 ( ! [X9:$int] : (~no_zero1(sK5) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X9,t2tb1(sK1))) | ~$less($sum(X9,-1),length1(int,t2tb1(sK5))) | $less(X9,1) | 0 = X9) ) | ~spl8_36), 1.17/1.39 inference(forward_demodulation,[],[f5685,f177])). 1.17/1.39 tff(f5700,plain,( 1.17/1.39 spl8_606 | ~spl8_605 | ~spl8_36), 1.17/1.39 inference(avatar_split_clause,[],[f5699,f356,f5691,f5694])). 1.17/1.39 tff(f5845,plain,( 1.17/1.39 ( ! [X17:$int] : (~$less(X17,sK2) | $less($uminus(sK2),length1(int,t2tb1(sK0))) | ~$less(0,$sum(X17,length1(int,t2tb1(sK1))))) ) | (~spl8_18 | ~spl8_48)), 1.17/1.39 inference(resolution,[],[f1212,f739])). 1.17/1.39 tff(f5853,plain,( 1.17/1.39 spl8_608 <=> $less($uminus(sK2),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_608])])). 1.17/1.39 tff(f5856,plain,( 1.17/1.39 spl8_610 <=> ! [X17 : $int] : (~$less(X17,sK2) | ~$less(0,$sum(X17,length1(int,t2tb1(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_610])])). 1.17/1.39 tff(f5858,plain,( 1.17/1.39 spl8_608 | spl8_610 | ~spl8_18 | ~spl8_48), 1.17/1.39 inference(avatar_split_clause,[],[f5845,f483,f280,f5856,f5853])). 1.17/1.39 tff(f5882,plain,( 1.17/1.39 ( ! [X32:$int] : (~$less(length1(int,t2tb1(sK0)),$uminus(sK2)) | ~$less(X32,sK2) | $less($sum(X32,length1(int,t2tb1(sK1))),0)) ) | (~spl8_18 | ~spl8_48)), 1.17/1.39 inference(resolution,[],[f1213,f738])). 1.17/1.39 tff(f5894,plain,( 1.17/1.39 spl8_612 <=> ! [X32 : $int] : (~$less(X32,sK2) | $less($sum(X32,length1(int,t2tb1(sK1))),0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_612])])). 1.17/1.39 tff(f5897,plain,( 1.17/1.39 spl8_615 <=> ~$less(length1(int,t2tb1(sK0)),$uminus(sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_615])])). 1.17/1.39 tff(f5899,plain,( 1.17/1.39 spl8_612 | ~spl8_615 | ~spl8_18 | ~spl8_48), 1.17/1.39 inference(avatar_split_clause,[],[f5882,f483,f280,f5897,f5894])). 1.17/1.39 tff(f5924,plain,( 1.17/1.39 ( ! [X44:$int] : (~$less(sK6(sK0),length1(int,t2tb1(sK0))) | ~$less(sK2,X44) | ~$less($sum(X44,length1(int,t2tb1(sK1))),1)) ) | (~spl8_18 | ~spl8_71)), 1.17/1.39 inference(resolution,[],[f1222,f761])). 1.17/1.39 tff(f5931,plain,( 1.17/1.39 spl8_616 <=> ! [X44 : $int] : (~$less(sK2,X44) | ~$less($sum(X44,length1(int,t2tb1(sK1))),1))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_616])])). 1.17/1.39 tff(f5934,plain,( 1.17/1.39 spl8_619 <=> ~$less(sK6(sK0),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_619])])). 1.17/1.39 tff(f5936,plain,( 1.17/1.39 spl8_616 | ~spl8_619 | ~spl8_18 | spl8_71), 1.17/1.39 inference(avatar_split_clause,[],[f5924,f670,f280,f5934,f5931])). 1.17/1.39 tff(f6005,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),sK2) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f162,f2097])). 1.17/1.39 tff(f6006,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f219,f2097])). 1.17/1.39 tff(f6007,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~no_zero1(sK0) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f196,f2097])). 1.17/1.39 tff(f6009,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),sK7(sK0,$sum(sK2,sK6(sK1)))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f218,f2097])). 1.17/1.39 tff(f6010,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),0) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f217,f2097])). 1.17/1.39 tff(f6011,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f758,f2097])). 1.17/1.39 tff(f6012,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f729,f2097])). 1.17/1.39 tff(f6014,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))),sK7(sK0,$sum(sK2,sK6(sK1)))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f706,f2097])). 1.17/1.39 tff(f6015,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f699,f2097])). 1.17/1.39 tff(f6016,plain,( 1.17/1.39 nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_218), 1.17/1.39 inference(superposition,[],[f179,f2097])). 1.17/1.39 tff(f6017,plain,( 1.17/1.39 ~$less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6015])). 1.17/1.39 tff(f6018,plain,( 1.17/1.39 $less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))),sK7(sK0,$sum(sK2,sK6(sK1)))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6014])). 1.17/1.39 tff(f6020,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6012])). 1.17/1.39 tff(f6021,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6011])). 1.17/1.39 tff(f6022,plain,( 1.17/1.39 ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),0) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6010])). 1.17/1.39 tff(f6023,plain,( 1.17/1.39 $less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),sK7(sK0,$sum(sK2,sK6(sK1)))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6009])). 1.17/1.39 tff(f6025,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~no_zero1(sK0) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6007])). 1.17/1.39 tff(f6026,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),t2tb1(sK0))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6006])). 1.17/1.39 tff(f6027,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),sK2) | $less(sK7(sK0,$sum(sK2,sK6(sK1))),0) | ~spl8_218), 1.17/1.39 inference(trivial_inequality_removal,[],[f6005])). 1.17/1.39 tff(f6028,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),sK2) | (~spl8_213 | ~spl8_218)), 1.17/1.39 inference(subsumption_resolution,[],[f6027,f2076])). 1.17/1.39 tff(f6030,plain,( 1.17/1.39 spl8_621 <=> ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_621])])). 1.17/1.39 tff(f6032,plain,( 1.17/1.39 ~spl8_621 | spl8_213 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6028,f2096,f2075,f6030])). 1.17/1.39 tff(f6034,plain,( 1.17/1.39 spl8_622 <=> zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_622])])). 1.17/1.39 tff(f6037,plain,( 1.17/1.39 spl8_624 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_624])])). 1.17/1.39 tff(f6039,plain,( 1.17/1.39 spl8_622 | spl8_624 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6026,f2096,f6037,f6034])). 1.17/1.39 tff(f6040,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | (~spl8_213 | ~spl8_218)), 1.17/1.39 inference(subsumption_resolution,[],[f6025,f2076])). 1.17/1.39 tff(f6041,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_213 | ~spl8_218)), 1.17/1.39 inference(subsumption_resolution,[],[f6040,f668])). 1.17/1.39 tff(f6043,plain,( 1.17/1.39 spl8_627 <=> ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_627])])). 1.17/1.39 tff(f6045,plain,( 1.17/1.39 ~spl8_627 | ~spl8_8 | spl8_213 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6041,f2096,f2075,f667,f6043])). 1.17/1.39 tff(f6048,plain,( 1.17/1.39 spl8_628 <=> $less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),sK7(sK0,$sum(sK2,sK6(sK1))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_628])])). 1.17/1.39 tff(f6050,plain,( 1.17/1.39 spl8_622 | spl8_628 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6023,f2096,f6048,f6034])). 1.17/1.39 tff(f6052,plain,( 1.17/1.39 spl8_631 <=> ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_631])])). 1.17/1.39 tff(f6054,plain,( 1.17/1.39 spl8_622 | ~spl8_631 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6022,f2096,f6052,f6034])). 1.17/1.39 tff(f6055,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(forward_demodulation,[],[f6021,f177])). 1.17/1.39 tff(f6056,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),t2tb1(sK0))) | ~spl8_218), 1.17/1.39 inference(forward_demodulation,[],[f6055,f177])). 1.17/1.39 tff(f6057,plain,( 1.17/1.39 spl8_624 | spl8_622 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6056,f2096,f6034,f6037])). 1.17/1.39 tff(f6058,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | ~no_zero1(tb2t1(t2tb1(sK0))) | (~spl8_213 | ~spl8_218)), 1.17/1.39 inference(subsumption_resolution,[],[f6020,f2076])). 1.17/1.39 tff(f6059,plain,( 1.17/1.39 ~no_zero1(sK0) | ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | (~spl8_213 | ~spl8_218)), 1.17/1.39 inference(forward_demodulation,[],[f6058,f177])). 1.17/1.39 tff(f6060,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK6(sK1))),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_213 | ~spl8_218)), 1.17/1.39 inference(subsumption_resolution,[],[f6059,f668])). 1.17/1.39 tff(f6061,plain,( 1.17/1.39 ~spl8_627 | ~spl8_8 | spl8_213 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6060,f2096,f2075,f667,f6043])). 1.17/1.39 tff(f6064,plain,( 1.17/1.39 $less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),sK7(sK0,$sum(sK2,sK6(sK1)))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(forward_demodulation,[],[f6018,f177])). 1.17/1.39 tff(f6065,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | $less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(forward_demodulation,[],[f6064,f177])). 1.17/1.39 tff(f6066,plain,( 1.17/1.39 spl8_628 | spl8_622 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6065,f2096,f6034,f6048])). 1.17/1.39 tff(f6067,plain,( 1.17/1.39 ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK6(sK1)))) | ~spl8_218), 1.17/1.39 inference(forward_demodulation,[],[f6017,f177])). 1.17/1.39 tff(f6068,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))) | ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK6(sK1)))),0) | ~spl8_218), 1.17/1.39 inference(forward_demodulation,[],[f6067,f177])). 1.17/1.39 tff(f6069,plain,( 1.17/1.39 ~spl8_631 | spl8_622 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6068,f2096,f6034,f6052])). 1.17/1.39 tff(f6070,plain,( 1.17/1.39 some(int,t2tb2(0)) = nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0)) | ~spl8_218), 1.17/1.39 inference(forward_demodulation,[],[f6016,f179])). 1.17/1.39 tff(f6072,plain,( 1.17/1.39 spl8_632 <=> some(int,t2tb2(0)) = nth1(int,sK7(sK0,$sum(sK2,sK6(sK1))),t2tb1(sK0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_632])])). 1.17/1.39 tff(f6074,plain,( 1.17/1.39 spl8_632 | ~spl8_218), 1.17/1.39 inference(avatar_split_clause,[],[f6070,f2096,f6072])). 1.17/1.39 tff(f6228,plain,( 1.17/1.39 ( ! [X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X9,length1(int,t2tb1(sK1))) | $less(X9,0) | ~no_zero1(sK1) | $less(X9,0) | ~zero_at1(sK0,$sum(sK2,X9))) )), 1.17/1.39 inference(superposition,[],[f196,f1369])). 1.17/1.39 tff(f6234,plain,( 1.17/1.39 ( ! [X18:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X18,length1(int,t2tb1(sK1))) | $less(X18,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | $less(X18,0) | ~zero_at1(sK0,$sum(sK2,X18))) )), 1.17/1.39 inference(superposition,[],[f729,f1369])). 1.17/1.39 tff(f6243,plain,( 1.17/1.39 ( ! [X18:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X18,length1(int,t2tb1(sK1))) | $less(X18,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~zero_at1(sK0,$sum(sK2,X18))) )), 1.17/1.39 inference(duplicate_literal_removal,[],[f6234])). 1.17/1.39 tff(f6244,plain,( 1.17/1.39 ( ! [X18:$int] : (~$less(X18,length1(int,t2tb1(sK1))) | $less(X18,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~zero_at1(sK0,$sum(sK2,X18))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f6243])). 1.17/1.39 tff(f6251,plain,( 1.17/1.39 ( ! [X9:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X9,length1(int,t2tb1(sK1))) | $less(X9,0) | ~no_zero1(sK1) | ~zero_at1(sK0,$sum(sK2,X9))) )), 1.17/1.39 inference(duplicate_literal_removal,[],[f6228])). 1.17/1.39 tff(f6252,plain,( 1.17/1.39 ( ! [X9:$int] : (~$less(X9,length1(int,t2tb1(sK1))) | $less(X9,0) | ~no_zero1(sK1) | ~zero_at1(sK0,$sum(sK2,X9))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f6251])). 1.17/1.39 tff(f6273,plain,( 1.17/1.39 ( ! [X18:$int] : (~no_zero1(sK1) | ~$less(X18,length1(int,t2tb1(sK1))) | $less(X18,0) | ~zero_at1(sK0,$sum(sK2,X18))) )), 1.17/1.39 inference(forward_demodulation,[],[f6244,f177])). 1.17/1.39 tff(f6295,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),sK2) | $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f162,f4371])). 1.17/1.39 tff(f6296,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),t2tb1(sK0))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f219,f4371])). 1.17/1.39 tff(f6297,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | ~no_zero1(sK0) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f196,f4371])). 1.17/1.39 tff(f6299,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f218,f4371])). 1.17/1.39 tff(f6300,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),0) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f217,f4371])). 1.17/1.39 tff(f6301,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f758,f4371])). 1.17/1.39 tff(f6302,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f729,f4371])). 1.17/1.39 tff(f6304,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f706,f4371])). 1.17/1.39 tff(f6305,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f699,f4371])). 1.17/1.39 tff(f6306,plain,( 1.17/1.39 nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0)) = t2tb(tb2t(some(int,t2tb2(0)))) | ~spl8_422), 1.17/1.39 inference(superposition,[],[f179,f4371])). 1.17/1.39 tff(f6307,plain,( 1.17/1.39 ~$less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6305])). 1.17/1.39 tff(f6308,plain,( 1.17/1.39 $less(sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6304])). 1.17/1.39 tff(f6310,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | ~no_zero1(tb2t1(t2tb1(sK0))) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6302])). 1.17/1.39 tff(f6311,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6301])). 1.17/1.39 tff(f6312,plain,( 1.17/1.39 ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),0) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6300])). 1.17/1.39 tff(f6313,plain,( 1.17/1.39 $less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6299])). 1.17/1.39 tff(f6315,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | ~no_zero1(sK0) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6297])). 1.17/1.39 tff(f6316,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),t2tb1(sK0))) | zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6296])). 1.17/1.39 tff(f6317,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),sK2) | $less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),0) | ~spl8_422), 1.17/1.39 inference(trivial_inequality_removal,[],[f6295])). 1.17/1.39 tff(f6318,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),sK2) | (~spl8_419 | ~spl8_422)), 1.17/1.39 inference(subsumption_resolution,[],[f6317,f4361])). 1.17/1.39 tff(f6320,plain,( 1.17/1.39 spl8_635 <=> ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_635])])). 1.17/1.39 tff(f6322,plain,( 1.17/1.39 ~spl8_635 | spl8_419 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6318,f4370,f4360,f6320])). 1.17/1.39 tff(f6324,plain,( 1.17/1.39 spl8_636 <=> zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_636])])). 1.17/1.39 tff(f6327,plain,( 1.17/1.39 spl8_638 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_638])])). 1.17/1.39 tff(f6329,plain,( 1.17/1.39 spl8_636 | spl8_638 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6316,f4370,f6327,f6324])). 1.17/1.39 tff(f6330,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | ~no_zero1(sK0) | (~spl8_419 | ~spl8_422)), 1.17/1.39 inference(subsumption_resolution,[],[f6315,f4361])). 1.17/1.39 tff(f6331,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_419 | ~spl8_422)), 1.17/1.39 inference(subsumption_resolution,[],[f6330,f668])). 1.17/1.39 tff(f6333,plain,( 1.17/1.39 spl8_641 <=> ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_641])])). 1.17/1.39 tff(f6335,plain,( 1.17/1.39 ~spl8_641 | ~spl8_8 | spl8_419 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6331,f4370,f4360,f667,f6333])). 1.17/1.39 tff(f6338,plain,( 1.17/1.39 spl8_642 <=> $less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_642])])). 1.17/1.39 tff(f6340,plain,( 1.17/1.39 spl8_636 | spl8_642 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6313,f4370,f6338,f6324])). 1.17/1.39 tff(f6342,plain,( 1.17/1.39 spl8_645 <=> ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),0)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_645])])). 1.17/1.39 tff(f6344,plain,( 1.17/1.39 spl8_636 | ~spl8_645 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6312,f4370,f6342,f6324])). 1.17/1.39 tff(f6345,plain,( 1.17/1.39 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),t2tb1(sK0))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(forward_demodulation,[],[f6311,f177])). 1.17/1.39 tff(f6346,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),t2tb1(sK0))) | ~spl8_422), 1.17/1.39 inference(forward_demodulation,[],[f6345,f177])). 1.17/1.39 tff(f6347,plain,( 1.17/1.39 spl8_638 | spl8_636 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6346,f4370,f6324,f6327])). 1.17/1.39 tff(f6348,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | ~no_zero1(tb2t1(t2tb1(sK0))) | (~spl8_419 | ~spl8_422)), 1.17/1.39 inference(subsumption_resolution,[],[f6310,f4361])). 1.17/1.39 tff(f6349,plain,( 1.17/1.39 ~no_zero1(sK0) | ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | (~spl8_419 | ~spl8_422)), 1.17/1.39 inference(forward_demodulation,[],[f6348,f177])). 1.17/1.39 tff(f6350,plain,( 1.17/1.39 ~$less(sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),length1(int,t2tb1(sK0))) | (~spl8_8 | ~spl8_419 | ~spl8_422)), 1.17/1.39 inference(subsumption_resolution,[],[f6349,f668])). 1.17/1.39 tff(f6351,plain,( 1.17/1.39 ~spl8_641 | ~spl8_8 | spl8_419 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6350,f4370,f4360,f667,f6333])). 1.17/1.39 tff(f6354,plain,( 1.17/1.39 $less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(forward_demodulation,[],[f6308,f177])). 1.17/1.39 tff(f6355,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | $less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(forward_demodulation,[],[f6354,f177])). 1.17/1.39 tff(f6356,plain,( 1.17/1.39 spl8_642 | spl8_636 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6355,f4370,f6324,f6338])). 1.17/1.39 tff(f6357,plain,( 1.17/1.39 ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),0) | zero_at1(tb2t1(t2tb1(sK0)),sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~spl8_422), 1.17/1.39 inference(forward_demodulation,[],[f6307,f177])). 1.17/1.39 tff(f6358,plain,( 1.17/1.39 zero_at1(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))) | ~$less(sK7(sK0,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1))))),0) | ~spl8_422), 1.17/1.39 inference(forward_demodulation,[],[f6357,f177])). 1.17/1.39 tff(f6359,plain,( 1.17/1.39 ~spl8_645 | spl8_636 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6358,f4370,f6324,f6342])). 1.17/1.39 tff(f6360,plain,( 1.17/1.39 some(int,t2tb2(0)) = nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0)) | ~spl8_422), 1.17/1.39 inference(forward_demodulation,[],[f6306,f179])). 1.17/1.39 tff(f6362,plain,( 1.17/1.39 spl8_646 <=> some(int,t2tb2(0)) = nth1(int,sK7(sK0,$sum(sK2,sK7(sK1,sK6(sK1)))),t2tb1(sK0))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_646])])). 1.17/1.39 tff(f6364,plain,( 1.17/1.39 spl8_646 | ~spl8_422), 1.17/1.39 inference(avatar_split_clause,[],[f6360,f4370,f6362])). 1.17/1.39 tff(f6381,plain,( 1.17/1.39 ( ! [X10:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X10,length1(int,t2tb1(sK1))) | $less(X10,0) | ~no_zero1(sK1) | $less(X10,0) | ~zero_at1(sK0,$sum(X10,sK2))) )), 1.17/1.39 inference(superposition,[],[f196,f1284])). 1.17/1.39 tff(f6386,plain,( 1.17/1.39 ( ! [X17:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X17,length1(int,t2tb1(sK1))) | $less(X17,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | $less(X17,0) | ~zero_at1(sK0,$sum(X17,sK2))) )), 1.17/1.39 inference(superposition,[],[f729,f1284])). 1.17/1.39 tff(f6395,plain,( 1.17/1.39 ( ! [X17:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X17,length1(int,t2tb1(sK1))) | $less(X17,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~zero_at1(sK0,$sum(X17,sK2))) )), 1.17/1.39 inference(duplicate_literal_removal,[],[f6386])). 1.17/1.39 tff(f6396,plain,( 1.17/1.39 ( ! [X17:$int] : (~$less(X17,length1(int,t2tb1(sK1))) | $less(X17,0) | ~no_zero1(tb2t1(t2tb1(sK1))) | ~zero_at1(sK0,$sum(X17,sK2))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f6395])). 1.17/1.39 tff(f6402,plain,( 1.17/1.39 ( ! [X10:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(X10,length1(int,t2tb1(sK1))) | $less(X10,0) | ~no_zero1(sK1) | ~zero_at1(sK0,$sum(X10,sK2))) )), 1.17/1.39 inference(duplicate_literal_removal,[],[f6381])). 1.17/1.39 tff(f6403,plain,( 1.17/1.39 ( ! [X10:$int] : (~$less(X10,length1(int,t2tb1(sK1))) | $less(X10,0) | ~no_zero1(sK1) | ~zero_at1(sK0,$sum(X10,sK2))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f6402])). 1.17/1.39 tff(f6434,plain,( 1.17/1.39 ( ! [X17:$int] : (~no_zero1(sK1) | ~$less(X17,length1(int,t2tb1(sK1))) | $less(X17,0) | ~zero_at1(sK0,$sum(X17,sK2))) )), 1.17/1.39 inference(forward_demodulation,[],[f6396,f177])). 1.17/1.39 tff(f6441,plain,( 1.17/1.39 zero_at1(sK0,$sum(sK2,1)) | $less(1,0) | ~zero_at1(sK1,1) | ~$less(sK2,sK7(sK0,$sum(sK2,1)))), 1.17/1.39 inference(resolution,[],[f1527,f72])). 1.17/1.39 tff(f6456,plain,( 1.17/1.39 zero_at1(sK0,$sum(sK2,1)) | ~zero_at1(sK1,1) | ~$less(sK2,sK7(sK0,$sum(sK2,1)))), 1.17/1.39 inference(evaluation,[],[f6441])). 1.17/1.39 tff(f6457,plain,( 1.17/1.39 zero_at1(sK0,$sum(1,sK2)) | ~zero_at1(sK1,1) | ~$less(sK2,sK7(sK0,$sum(sK2,1)))), 1.17/1.39 inference(forward_demodulation,[],[f6456,f55])). 1.17/1.39 tff(f6458,plain,( 1.17/1.39 ~$less(sK2,sK7(sK0,$sum(1,sK2))) | zero_at1(sK0,$sum(1,sK2)) | ~zero_at1(sK1,1)), 1.17/1.39 inference(forward_demodulation,[],[f6457,f55])). 1.17/1.39 tff(f6460,plain,( 1.17/1.39 spl8_649 <=> ~zero_at1(sK1,1)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_649])])). 1.17/1.39 tff(f6463,plain,( 1.17/1.39 spl8_574 <=> zero_at1(sK0,$sum(1,sK2))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_574])])). 1.17/1.39 tff(f6466,plain,( 1.17/1.39 spl8_651 <=> ~$less(sK2,sK7(sK0,$sum(1,sK2)))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_651])])). 1.17/1.39 tff(f6468,plain,( 1.17/1.39 ~spl8_649 | spl8_574 | ~spl8_651), 1.17/1.39 inference(avatar_split_clause,[],[f6458,f6466,f6463,f6460])). 1.17/1.39 tff(f6489,plain,( 1.17/1.39 ~$less($sum(sK2,sK6(sK1)),-1) | ~spl8_221), 1.17/1.39 inference(resolution,[],[f866,f2109])). 1.17/1.39 tff(f6490,plain,( 1.17/1.39 ~$less($sum(sK2,sK7(sK1,sK6(sK1))),-1) | ~spl8_427), 1.17/1.39 inference(resolution,[],[f866,f4381])). 1.17/1.39 tff(f6493,plain,( 1.17/1.39 ( ! [X45:uni,X44:ty] : (~$less($sum(sK2,sK6(sK1)),-1) | ~zero_at1(sK0,length1(X44,X45))) ) | ~spl8_174), 1.17/1.39 inference(resolution,[],[f866,f1432])). 1.17/1.39 tff(f6494,plain,( 1.17/1.39 ( ! [X47:uni,X46:ty] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),-1) | ~zero_at1(sK0,length1(X46,X47))) ) | ~spl8_424), 1.17/1.39 inference(resolution,[],[f866,f4376])). 1.17/1.39 tff(f6497,plain,( 1.17/1.39 ( ! [X54:$int,X56:uni,X55:ty] : (~$less($sum(X54,length1(int,t2tb1(sK1))),-1) | ~$less(sK2,X54) | $less(length1(int,t2tb1(sK0)),length1(X55,X56))) ) | ~spl8_18), 1.17/1.39 inference(resolution,[],[f866,f1223])). 1.17/1.39 tff(f6506,plain,( 1.17/1.39 ( ! [X74:ty,X75:uni] : (~$less(sK6(sK0),-1) | ~$less(length1(X74,X75),1)) ) | ~spl8_71), 1.17/1.39 inference(resolution,[],[f866,f761])). 1.17/1.39 tff(f6510,plain,( 1.17/1.39 spl8_653 <=> ~$less($sum(sK2,sK6(sK1)),-1)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_653])])). 1.17/1.39 tff(f6512,plain,( 1.17/1.39 ~spl8_653 | spl8_221), 1.17/1.39 inference(avatar_split_clause,[],[f6489,f2108,f6510])). 1.17/1.39 tff(f6514,plain,( 1.17/1.39 spl8_655 <=> ~$less($sum(sK2,sK7(sK1,sK6(sK1))),-1)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_655])])). 1.17/1.39 tff(f6516,plain,( 1.17/1.39 ~spl8_655 | spl8_427), 1.17/1.39 inference(avatar_split_clause,[],[f6490,f4380,f6514])). 1.17/1.39 tff(f6518,plain,( 1.17/1.39 spl8_656 <=> ! [X44 : ty,X45 : uni] : ~zero_at1(sK0,length1(X44,X45))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_656])])). 1.17/1.39 tff(f6520,plain,( 1.17/1.39 spl8_656 | ~spl8_653 | ~spl8_174), 1.17/1.39 inference(avatar_split_clause,[],[f6493,f1431,f6510,f6518])). 1.17/1.39 tff(f6521,plain,( 1.17/1.39 spl8_656 | ~spl8_655 | ~spl8_424), 1.17/1.39 inference(avatar_split_clause,[],[f6494,f4375,f6514,f6518])). 1.17/1.39 tff(f6523,plain,( 1.17/1.39 spl8_658 <=> ! [X55 : ty,X56 : uni] : $less(length1(int,t2tb1(sK0)),length1(X55,X56))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_658])])). 1.17/1.39 tff(f6526,plain,( 1.17/1.39 spl8_660 <=> ! [X54 : $int] : (~$less($sum(X54,length1(int,t2tb1(sK1))),-1) | ~$less(sK2,X54))), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_660])])). 1.17/1.39 tff(f6528,plain,( 1.17/1.39 spl8_658 | spl8_660 | ~spl8_18), 1.17/1.39 inference(avatar_split_clause,[],[f6497,f280,f6526,f6523])). 1.17/1.39 tff(f6530,plain,( 1.17/1.39 spl8_662 <=> ! [X75 : uni,X74 : ty] : ~$less(length1(X74,X75),1)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_662])])). 1.17/1.39 tff(f6533,plain,( 1.17/1.39 spl8_665 <=> ~$less(sK6(sK0),-1)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_665])])). 1.17/1.39 tff(f6535,plain,( 1.17/1.39 spl8_662 | ~spl8_665 | spl8_71), 1.17/1.39 inference(avatar_split_clause,[],[f6506,f670,f6533,f6530])). 1.17/1.39 tff(f6622,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK1)),sK2) | ~$less(1,sK2) | (~spl8_3 | ~spl8_18)), 1.17/1.39 inference(resolution,[],[f1840,f1211])). 1.17/1.39 tff(f6658,plain,( 1.17/1.39 $less(length1(int,t2tb1(sK1)),sK2) | (~spl8_3 | ~spl8_18 | ~spl8_40)), 1.17/1.39 inference(subsumption_resolution,[],[f6622,f372])). 1.17/1.39 tff(f6660,plain,( 1.17/1.39 spl8_666 <=> $less(length1(int,t2tb1(sK1)),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_666])])). 1.17/1.39 tff(f6662,plain,( 1.17/1.39 spl8_666 | spl8_3 | ~spl8_18 | ~spl8_40), 1.17/1.39 inference(avatar_split_clause,[],[f6658,f371,f280,f245,f6660])). 1.17/1.39 tff(f6677,plain,( 1.17/1.39 $less($sum(-1,$uminus(length1(int,t2tb1(sK1)))),sK2) | ~spl8_152), 1.17/1.39 inference(superposition,[],[f868,f1245])). 1.17/1.39 tff(f6697,plain,( 1.17/1.39 spl8_668 <=> $less($sum(-1,$uminus(length1(int,t2tb1(sK1)))),sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_668])])). 1.17/1.39 tff(f6699,plain,( 1.17/1.39 spl8_668 | ~spl8_152), 1.17/1.39 inference(avatar_split_clause,[],[f6677,f1244,f6697])). 1.17/1.39 tff(f6776,plain,( 1.17/1.39 $less(6,0) | ~zero_at1(sK0,6) | ~spl8_270), 1.17/1.39 inference(resolution,[],[f2768,f690])). 1.17/1.39 tff(f6781,plain,( 1.17/1.39 ~$less(sK2,$sum(6,1)) | ~spl8_270), 1.17/1.39 inference(resolution,[],[f2768,f72])). 1.17/1.39 tff(f6782,plain,( 1.17/1.39 ~$less(sK2,7) | ~spl8_270), 1.17/1.39 inference(evaluation,[],[f6781])). 1.17/1.39 tff(f6784,plain,( 1.17/1.39 ~zero_at1(sK0,6) | ~spl8_270), 1.17/1.39 inference(evaluation,[],[f6776])). 1.17/1.39 tff(f6785,plain,( 1.17/1.39 ~spl8_277 | ~spl8_270), 1.17/1.39 inference(avatar_split_clause,[],[f6784,f2767,f2925])). 1.17/1.39 tff(f6787,plain,( 1.17/1.39 spl8_671 <=> ~$less(sK2,7)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_671])])). 1.17/1.39 tff(f6788,plain,( 1.17/1.39 ~$less(sK2,7) | ~spl8_671), 1.17/1.39 inference(avatar_component_clause,[],[f6787])). 1.17/1.39 tff(f6789,plain,( 1.17/1.39 ~spl8_671 | ~spl8_270), 1.17/1.39 inference(avatar_split_clause,[],[f6782,f2767,f6787])). 1.17/1.39 tff(f6880,plain,( 1.17/1.39 ( ! [X12:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK1,X12),length1(int,t2tb1(sK1))) | $less(sK7(sK1,X12),0) | ~no_zero1(sK1) | zero_at1(sK1,X12) | $less(X12,0) | ~zero_at1(sK0,$sum(sK2,X12))) )), 1.17/1.39 inference(superposition,[],[f196,f1355])). 1.17/1.39 tff(f6885,plain,( 1.17/1.39 ( ! [X19:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK7(sK1,X19),length1(int,t2tb1(sK1))) | $less(sK7(sK1,X19),0) | ~no_zero1(tb2t1(t2tb1(sK1))) | zero_at1(sK1,X19) | $less(X19,0) | ~zero_at1(sK0,$sum(sK2,X19))) )), 1.17/1.39 inference(superposition,[],[f729,f1355])). 1.17/1.39 tff(f6893,plain,( 1.17/1.39 ( ! [X19:$int] : (~$less(sK7(sK1,X19),length1(int,t2tb1(sK1))) | $less(sK7(sK1,X19),0) | ~no_zero1(tb2t1(t2tb1(sK1))) | zero_at1(sK1,X19) | $less(X19,0) | ~zero_at1(sK0,$sum(sK2,X19))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f6885])). 1.17/1.39 tff(f6898,plain,( 1.17/1.39 ( ! [X12:$int] : (~$less(sK7(sK1,X12),length1(int,t2tb1(sK1))) | $less(sK7(sK1,X12),0) | ~no_zero1(sK1) | zero_at1(sK1,X12) | $less(X12,0) | ~zero_at1(sK0,$sum(sK2,X12))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f6880])). 1.17/1.39 tff(f6920,plain,( 1.17/1.39 ( ! [X19:$int] : (~$less(sK7(sK1,X19),length1(int,t2tb1(sK1))) | ~no_zero1(tb2t1(t2tb1(sK1))) | zero_at1(sK1,X19) | $less(X19,0) | ~zero_at1(sK0,$sum(sK2,X19))) )), 1.17/1.39 inference(subsumption_resolution,[],[f6893,f1349])). 1.17/1.39 tff(f6921,plain,( 1.17/1.39 ( ! [X19:$int] : (~no_zero1(sK1) | ~$less(sK7(sK1,X19),length1(int,t2tb1(sK1))) | zero_at1(sK1,X19) | $less(X19,0) | ~zero_at1(sK0,$sum(sK2,X19))) )), 1.17/1.39 inference(forward_demodulation,[],[f6920,f177])). 1.17/1.39 tff(f7060,plain,( 1.17/1.39 $less(7,sK2) | sK2 = 7 | ~spl8_671), 1.17/1.39 inference(resolution,[],[f6788,f62])). 1.17/1.39 tff(f7061,plain,( 1.17/1.39 $less(7,sK2) | sK2 = 7 | ~spl8_671), 1.17/1.39 inference(resolution,[],[f6788,f62])). 1.17/1.39 tff(f7066,plain,( 1.17/1.39 spl8_672 <=> sK2 = 7), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_672])])). 1.17/1.39 tff(f7069,plain,( 1.17/1.39 spl8_674 <=> $less(7,sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_674])])). 1.17/1.39 tff(f7070,plain,( 1.17/1.39 $less(7,sK2) | ~spl8_674), 1.17/1.39 inference(avatar_component_clause,[],[f7069])). 1.17/1.39 tff(f7071,plain,( 1.17/1.39 spl8_672 | spl8_674 | spl8_671), 1.17/1.39 inference(avatar_split_clause,[],[f7060,f6787,f7069,f7066])). 1.17/1.39 tff(f7072,plain,( 1.17/1.39 spl8_672 | spl8_674 | spl8_671), 1.17/1.39 inference(avatar_split_clause,[],[f7061,f6787,f7069,f7066])). 1.17/1.39 tff(f7141,plain,( 1.17/1.39 $less(7,0) | ~zero_at1(sK0,7) | ~spl8_674), 1.17/1.39 inference(resolution,[],[f7070,f690])). 1.17/1.39 tff(f7146,plain,( 1.17/1.39 ~$less(sK2,$sum(7,1)) | ~spl8_674), 1.17/1.39 inference(resolution,[],[f7070,f72])). 1.17/1.39 tff(f7147,plain,( 1.17/1.39 ~$less(sK2,8) | ~spl8_674), 1.17/1.39 inference(evaluation,[],[f7146])). 1.17/1.39 tff(f7149,plain,( 1.17/1.39 ~zero_at1(sK0,7) | ~spl8_674), 1.17/1.39 inference(evaluation,[],[f7141])). 1.17/1.39 tff(f7151,plain,( 1.17/1.39 spl8_677 <=> ~zero_at1(sK0,7)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_677])])). 1.17/1.39 tff(f7153,plain,( 1.17/1.39 ~spl8_677 | ~spl8_674), 1.17/1.39 inference(avatar_split_clause,[],[f7149,f7069,f7151])). 1.17/1.39 tff(f7155,plain,( 1.17/1.39 spl8_679 <=> ~$less(sK2,8)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_679])])). 1.17/1.39 tff(f7156,plain,( 1.17/1.39 ~$less(sK2,8) | ~spl8_679), 1.17/1.39 inference(avatar_component_clause,[],[f7155])). 1.17/1.39 tff(f7157,plain,( 1.17/1.39 ~spl8_679 | ~spl8_674), 1.17/1.39 inference(avatar_split_clause,[],[f7147,f7069,f7155])). 1.17/1.39 tff(f7376,plain,( 1.17/1.39 $less(8,sK2) | sK2 = 8 | ~spl8_679), 1.17/1.39 inference(resolution,[],[f7156,f62])). 1.17/1.39 tff(f7377,plain,( 1.17/1.39 $less(8,sK2) | sK2 = 8 | ~spl8_679), 1.17/1.39 inference(resolution,[],[f7156,f62])). 1.17/1.39 tff(f7382,plain,( 1.17/1.39 spl8_680 <=> sK2 = 8), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_680])])). 1.17/1.39 tff(f7385,plain,( 1.17/1.39 spl8_682 <=> $less(8,sK2)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_682])])). 1.17/1.39 tff(f7386,plain,( 1.17/1.39 $less(8,sK2) | ~spl8_682), 1.17/1.39 inference(avatar_component_clause,[],[f7385])). 1.17/1.39 tff(f7387,plain,( 1.17/1.39 spl8_680 | spl8_682 | spl8_679), 1.17/1.39 inference(avatar_split_clause,[],[f7376,f7155,f7385,f7382])). 1.17/1.39 tff(f7388,plain,( 1.17/1.39 spl8_680 | spl8_682 | spl8_679), 1.17/1.39 inference(avatar_split_clause,[],[f7377,f7155,f7385,f7382])). 1.17/1.39 tff(f7482,plain,( 1.17/1.39 length1(int,t2tb1(sK0)) = $sum(sK2,0) | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f281,f1802])). 1.17/1.39 tff(f7483,plain,( 1.17/1.39 ( ! [X41:$int] : ($sum(sK2,$sum(0,X41)) = $sum(length1(int,t2tb1(sK0)),X41) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f329,f1802])). 1.17/1.39 tff(f7484,plain,( 1.17/1.39 ( ! [X42:$int] : ($less($sum(X42,0),length1(int,t2tb1(sK0))) | ~$less(X42,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f330,f1802])). 1.17/1.39 tff(f7486,plain,( 1.17/1.39 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_52), 1.17/1.39 inference(superposition,[],[f491,f1802])). 1.17/1.39 tff(f7488,plain,( 1.17/1.39 ( ! [X45:$int,X46:$int] : (~$less(X45,$sum(X46,0)) | ~$less(X46,sK2) | $less(X45,length1(int,t2tb1(sK0))) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1212,f1802])). 1.17/1.39 tff(f7489,plain,( 1.17/1.39 ( ! [X47:$int,X48:$int] : ($less($sum(X47,0),X48) | ~$less(length1(int,t2tb1(sK0)),X48) | ~$less(X47,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1213,f1802])). 1.17/1.39 tff(f7490,plain,( 1.17/1.39 ( ! [X49:$int] : ($less($sum(0,X49),length1(int,t2tb1(sK0))) | ~$less(X49,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1216,f1802])). 1.17/1.39 tff(f7491,plain,( 1.17/1.39 ( ! [X50:$int,X51:$int] : ($less($sum(X50,$sum(X51,0)),length1(int,t2tb1(sK0))) | ~$less($sum(X50,X51),sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1218,f1802])). 1.17/1.39 tff(f7492,plain,( 1.17/1.39 ( ! [X52:$int,X53:$int] : ($less($sum(X52,$sum(0,X53)),$sum(length1(int,t2tb1(sK0)),X53)) | ~$less(X52,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1220,f1802])). 1.17/1.39 tff(f7493,plain,( 1.17/1.39 ( ! [X54:$int] : (~$less(length1(int,t2tb1(sK0)),$sum(1,$sum(X54,0))) | ~$less(X54,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1221,f1802])). 1.17/1.39 tff(f7500,plain,( 1.17/1.39 ( ! [X65:$int] : ($sum(sK2,$sum(X65,0)) = $sum(length1(int,t2tb1(sK0)),X65) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1234,f1802])). 1.17/1.39 tff(f7501,plain,( 1.17/1.39 $sum(length1(int,t2tb1(sK0)),$uminus(0)) = sK2 | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_152), 1.17/1.39 inference(superposition,[],[f1245,f1802])). 1.17/1.39 tff(f7502,plain,( 1.17/1.39 nth1(int,0,t2tb1(sK1)) = nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_154), 1.17/1.39 inference(superposition,[],[f1278,f1802])). 1.17/1.39 tff(f7503,plain,( 1.17/1.39 ~zero_at1(sK1,0) | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_157), 1.17/1.39 inference(superposition,[],[f1305,f1802])). 1.17/1.39 tff(f7505,plain,( 1.17/1.39 ( ! [X68:$int,X67:list_int] : (~zero_at1(X67,$sum(X68,0)) | ~zero_at1(X67,length1(int,t2tb1(sK0))) | $less($sum(X68,length1(int,t2tb1(sK1))),0) | ~$less(X68,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1588,f1802])). 1.17/1.39 tff(f7507,plain,( 1.17/1.39 ( ! [X71:$int] : (~zero_at1(sK0,$sum(X71,0)) | ~$less(X71,sK2) | $less($sum(X71,length1(int,t2tb1(sK1))),0) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_520), 1.17/1.39 inference(superposition,[],[f4648,f1802])). 1.17/1.39 tff(f7508,plain,( 1.17/1.39 length1(int,t2tb1(sK1)) = $sum(1,0) | ~zero_at1(sK5,0) | ~no_zero1(sK5) | ~spl8_86), 1.17/1.39 inference(superposition,[],[f827,f1802])). 1.17/1.39 tff(f7535,plain,( 1.17/1.39 length1(int,t2tb1(sK1)) = 1 | ~zero_at1(sK5,0) | ~no_zero1(sK5) | ~spl8_86), 1.17/1.39 inference(evaluation,[],[f7508])). 1.17/1.39 tff(f7536,plain,( 1.17/1.39 ( ! [X71:$int] : (~zero_at1(sK0,X71) | ~$less(X71,sK2) | $less($sum(X71,length1(int,t2tb1(sK1))),0) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_520), 1.17/1.39 inference(evaluation,[],[f7507])). 1.17/1.39 tff(f7538,plain,( 1.17/1.39 ( ! [X68:$int,X67:list_int] : (~zero_at1(X67,X68) | ~zero_at1(X67,length1(int,t2tb1(sK0))) | $less($sum(X68,length1(int,t2tb1(sK1))),0) | ~$less(X68,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7505])). 1.17/1.39 tff(f7540,plain,( 1.17/1.39 ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_157), 1.17/1.39 inference(duplicate_literal_removal,[],[f7503])). 1.17/1.39 tff(f7541,plain,( 1.17/1.39 $sum(length1(int,t2tb1(sK0)),0) = sK2 | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_152), 1.17/1.39 inference(evaluation,[],[f7501])). 1.17/1.39 tff(f7542,plain,( 1.17/1.39 length1(int,t2tb1(sK0)) = sK2 | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_152), 1.17/1.39 inference(evaluation,[],[f7541])). 1.17/1.39 tff(f7543,plain,( 1.17/1.39 ( ! [X65:$int] : ($sum(sK2,X65) = $sum(length1(int,t2tb1(sK0)),X65) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7500])). 1.17/1.39 tff(f7550,plain,( 1.17/1.39 ( ! [X54:$int] : (~$less(length1(int,t2tb1(sK0)),$sum(1,X54)) | ~$less(X54,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7493])). 1.17/1.39 tff(f7551,plain,( 1.17/1.39 ( ! [X52:$int,X53:$int] : ($less($sum(X52,X53),$sum(length1(int,t2tb1(sK0)),X53)) | ~$less(X52,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7492])). 1.17/1.39 tff(f7552,plain,( 1.17/1.39 ( ! [X50:$int,X51:$int] : ($less($sum(X50,X51),length1(int,t2tb1(sK0))) | ~$less($sum(X50,X51),sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7491])). 1.17/1.39 tff(f7553,plain,( 1.17/1.39 ( ! [X49:$int] : ($less(X49,length1(int,t2tb1(sK0))) | ~$less(X49,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7490])). 1.17/1.39 tff(f7554,plain,( 1.17/1.39 ( ! [X47:$int,X48:$int] : ($less(X47,X48) | ~$less(length1(int,t2tb1(sK0)),X48) | ~$less(X47,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7489])). 1.17/1.39 tff(f7555,plain,( 1.17/1.39 ( ! [X45:$int,X46:$int] : (~$less(X45,X46) | ~$less(X46,sK2) | $less(X45,length1(int,t2tb1(sK0))) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7488])). 1.17/1.39 tff(f7558,plain,( 1.17/1.39 ( ! [X42:$int] : ($less(X42,length1(int,t2tb1(sK0))) | ~$less(X42,sK2) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7484])). 1.17/1.39 tff(f7559,plain,( 1.17/1.39 ( ! [X41:$int] : ($sum(sK2,X41) = $sum(length1(int,t2tb1(sK0)),X41) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7483])). 1.17/1.39 tff(f7560,plain,( 1.17/1.39 length1(int,t2tb1(sK0)) = sK2 | ~zero_at1(sK1,0) | ~no_zero1(sK1) | ~spl8_18), 1.17/1.39 inference(evaluation,[],[f7482])). 1.17/1.39 tff(f7583,plain,( 1.17/1.39 $less(8,0) | ~zero_at1(sK0,8) | ~spl8_682), 1.17/1.39 inference(resolution,[],[f7386,f690])). 1.17/1.39 tff(f7588,plain,( 1.17/1.39 ~$less(sK2,$sum(8,1)) | ~spl8_682), 1.17/1.39 inference(resolution,[],[f7386,f72])). 1.17/1.39 tff(f7589,plain,( 1.17/1.39 ~$less(sK2,9) | ~spl8_682), 1.17/1.39 inference(evaluation,[],[f7588])). 1.17/1.39 tff(f7591,plain,( 1.17/1.39 ~zero_at1(sK0,8) | ~spl8_682), 1.17/1.39 inference(evaluation,[],[f7583])). 1.17/1.39 tff(f7593,plain,( 1.17/1.39 spl8_685 <=> ~zero_at1(sK0,8)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_685])])). 1.17/1.39 tff(f7595,plain,( 1.17/1.39 ~spl8_685 | ~spl8_682), 1.17/1.39 inference(avatar_split_clause,[],[f7591,f7385,f7593])). 1.17/1.39 tff(f7597,plain,( 1.17/1.39 spl8_687 <=> ~$less(sK2,9)), 1.17/1.39 introduced(avatar_definition,[new_symbols(naming,[spl8_687])])). 1.17/1.39 tff(f7598,plain,( 1.17/1.39 ~$less(sK2,9) | ~spl8_687), 1.17/1.39 inference(avatar_component_clause,[],[f7597])). 1.17/1.39 tff(f7599,plain,( 1.17/1.39 ~spl8_687 | ~spl8_682), 1.17/1.39 inference(avatar_split_clause,[],[f7589,f7385,f7597])). 1.17/1.39 tff(f7604,plain,( 1.17/1.39 ( ! [X6:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK6(sK1),sK2),X6) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X6) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(superposition,[],[f1288,f673])). 1.17/1.39 tff(f7609,plain,( 1.17/1.39 ( ! [X7:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK6(sK1),sK2),X7) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X7) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(superposition,[],[f1288,f195])). 1.17/1.39 tff(f7611,plain,( 1.17/1.39 ( ! [X10:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK7(sK1,sK6(sK1)),sK2),X10) | $less($sum(sK7(sK1,sK6(sK1)),sK2),0) | ~zero_at1(sK0,X10) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) )), 1.17/1.39 inference(superposition,[],[f1288,f757])). 1.17/1.39 tff(f7613,plain,( 1.17/1.39 ( ! [X13:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),X13) | $less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),0) | ~zero_at1(sK0,X13) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) )), 1.17/1.39 inference(superposition,[],[f1288,f660])). 1.17/1.39 tff(f7614,plain,( 1.17/1.39 ( ! [X13:$int] : (~$less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),X13) | $less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),0) | ~zero_at1(sK0,X13) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7613])). 1.17/1.39 tff(f7616,plain,( 1.17/1.39 ( ! [X10:$int] : (~$less($sum(sK7(sK1,sK6(sK1)),sK2),X10) | $less($sum(sK7(sK1,sK6(sK1)),sK2),0) | ~zero_at1(sK0,X10) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7611])). 1.17/1.39 tff(f7618,plain,( 1.17/1.39 ( ! [X7:$int] : (~$less($sum(sK6(sK1),sK2),X7) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X7) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7609])). 1.17/1.39 tff(f7624,plain,( 1.17/1.39 ( ! [X6:$int] : (~$less($sum(sK6(sK1),sK2),X6) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X6) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7604])). 1.17/1.39 tff(f7639,plain,( 1.17/1.39 ( ! [X13:$int] : (~$less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),X13) | $less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),0) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) )), 1.17/1.39 inference(subsumption_resolution,[],[f7614,f193])). 1.17/1.39 tff(f7640,plain,( 1.17/1.39 ( ! [X13:$int] : (~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X13) | $less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),0) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) )), 1.17/1.39 inference(forward_demodulation,[],[f7639,f55])). 1.17/1.39 tff(f7641,plain,( 1.17/1.39 ( ! [X13:$int] : (~$less($sum(sK2,sK6(sK1)),X13) | $less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),0) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) )), 1.17/1.39 inference(forward_demodulation,[],[f7640,f177])). 1.17/1.39 tff(f7697,plain,( 1.17/1.39 ( ! [X6:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK0,X6) | ~$less($sum(sK2,sK6(sK1)),X6) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(superposition,[],[f4666,f673])). 1.17/1.39 tff(f7702,plain,( 1.17/1.39 ( ! [X7:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK0,X7) | ~$less($sum(sK2,sK6(sK1)),X7) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(superposition,[],[f4666,f195])). 1.17/1.39 tff(f7704,plain,( 1.17/1.39 ( ! [X10:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK0,X10) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),X10) | $less($sum(sK2,sK7(sK1,sK6(sK1))),0) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) )), 1.17/1.39 inference(superposition,[],[f4666,f757])). 1.17/1.39 tff(f7706,plain,( 1.17/1.39 ( ! [X13:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~zero_at1(sK0,X13) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X13) | $less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),0) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) )), 1.17/1.39 inference(superposition,[],[f4666,f660])). 1.17/1.39 tff(f7707,plain,( 1.17/1.39 ( ! [X13:$int] : (~zero_at1(sK0,X13) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X13) | $less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),0) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7706])). 1.17/1.39 tff(f7709,plain,( 1.17/1.39 ( ! [X10:$int] : (~zero_at1(sK0,X10) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),X10) | $less($sum(sK2,sK7(sK1,sK6(sK1))),0) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7704])). 1.17/1.39 tff(f7711,plain,( 1.17/1.39 ( ! [X7:$int] : (~zero_at1(sK0,X7) | ~$less($sum(sK2,sK6(sK1)),X7) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7702])). 1.17/1.39 tff(f7717,plain,( 1.17/1.39 ( ! [X6:$int] : (~zero_at1(sK0,X6) | ~$less($sum(sK2,sK6(sK1)),X6) | $less($sum(sK2,sK6(sK1)),0) | $less(sK6(sK1),0) | no_zero1(sK1)) )), 1.17/1.39 inference(trivial_inequality_removal,[],[f7697])). 1.17/1.39 tff(f7725,plain,( 1.17/1.39 ( ! [X13:$int] : (~zero_at1(sK0,X13) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X13) | $less(sK6(tb2t1(t2tb1(sK1))),0) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(subsumption_resolution,[],[f7707,f784])). 1.17/1.39 tff(f7726,plain,( 1.17/1.39 ( ! [X13:$int] : (~zero_at1(sK0,X13) | ~$less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),X13) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(subsumption_resolution,[],[f7725,f193])). 1.17/1.39 tff(f7727,plain,( 1.17/1.39 ( ! [X13:$int] : (~$less($sum(sK2,sK6(sK1)),X13) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_24), 1.17/1.39 inference(forward_demodulation,[],[f7726,f177])). 1.17/1.39 tff(f7728,plain,( 1.17/1.39 ( ! [X0:$int] : (nth1(int,$sum(0,X0),t2tb1(sK1)) = nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0)) | $less($sum(length1(int,t2tb1(sK1)),X0),0) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.39 inference(superposition,[],[f1261,f1802])). 1.17/1.39 tff(f7750,plain,( 1.17/1.39 ( ! [X18:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X18),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X18),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X18),0) | ~no_zero1(sK1) | $less($sum(length1(int,t2tb1(sK1)),X18),0)) ) | ~spl8_18), 1.17/1.40 inference(superposition,[],[f196,f1261])). 1.17/1.40 tff(f7758,plain,( 1.17/1.40 ( ! [X27:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X27),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X27),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X27),0) | ~no_zero1(tb2t1(t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X27),0)) ) | ~spl8_18), 1.17/1.40 inference(superposition,[],[f729,f1261])). 1.17/1.40 tff(f7765,plain,( 1.17/1.40 ( ! [X27:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X27),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X27),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X27),0) | ~no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_18), 1.17/1.40 inference(duplicate_literal_removal,[],[f7758])). 1.17/1.40 tff(f7767,plain,( 1.17/1.40 ( ! [X18:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X18),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X18),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X18),0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.40 inference(duplicate_literal_removal,[],[f7750])). 1.17/1.40 tff(f7785,plain,( 1.17/1.40 ( ! [X0:$int] : (nth1(int,X0,t2tb1(sK1)) = nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0)) | $less($sum(length1(int,t2tb1(sK1)),X0),0) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.40 inference(evaluation,[],[f7728])). 1.17/1.40 tff(f7816,plain,( 1.17/1.40 ( ! [X27:$int] : (~no_zero1(sK1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X27),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X27),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X27),0)) ) | ~spl8_18), 1.17/1.40 inference(forward_demodulation,[],[f7765,f177])). 1.17/1.40 tff(f7943,plain,( 1.17/1.40 $less($uminus(length1(int,t2tb1(sK1))),sK2) | length1(int,t2tb1(sK0)) = 0 | ~spl8_152), 1.17/1.40 inference(superposition,[],[f1474,f1245])). 1.17/1.40 tff(f7964,plain,( 1.17/1.40 spl8_536 <=> $less($uminus(length1(int,t2tb1(sK1))),sK2)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_536])])). 1.17/1.40 tff(f7966,plain,( 1.17/1.40 spl8_550 | spl8_536 | ~spl8_152), 1.17/1.40 inference(avatar_split_clause,[],[f7943,f1244,f7964,f4959])). 1.17/1.40 tff(f7968,plain,( 1.17/1.40 $less(9,sK2) | sK2 = 9 | ~spl8_687), 1.17/1.40 inference(resolution,[],[f7598,f62])). 1.17/1.40 tff(f7969,plain,( 1.17/1.40 $less(9,sK2) | sK2 = 9 | ~spl8_687), 1.17/1.40 inference(resolution,[],[f7598,f62])). 1.17/1.40 tff(f7974,plain,( 1.17/1.40 spl8_688 <=> sK2 = 9), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_688])])). 1.17/1.40 tff(f7975,plain,( 1.17/1.40 sK2 = 9 | ~spl8_688), 1.17/1.40 inference(avatar_component_clause,[],[f7974])). 1.17/1.40 tff(f7977,plain,( 1.17/1.40 spl8_690 <=> $less(9,sK2)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_690])])). 1.17/1.40 tff(f7979,plain,( 1.17/1.40 spl8_688 | spl8_690 | spl8_687), 1.17/1.40 inference(avatar_split_clause,[],[f7968,f7597,f7977,f7974])). 1.17/1.40 tff(f7980,plain,( 1.17/1.40 spl8_688 | spl8_690 | spl8_687), 1.17/1.40 inference(avatar_split_clause,[],[f7969,f7597,f7977,f7974])). 1.17/1.40 tff(f8077,plain,( 1.17/1.40 ~$less(9,length1(int,t2tb1(sK0))) | (~spl8_3 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f246,f7975])). 1.17/1.40 tff(f8079,plain,( 1.17/1.40 length1(int,t2tb1(sK0)) = $sum(9,length1(int,t2tb1(sK1))) | (~spl8_18 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f281,f7975])). 1.17/1.40 tff(f8093,plain,( 1.17/1.40 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,9,t2tb1(sK0))) | (~spl8_46 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f480,f7975])). 1.17/1.40 tff(f8102,plain,( 1.17/1.40 some(int,t2tb2(0)) = nth1(int,9,t2tb1(sK0)) | (~spl8_106 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f964,f7975])). 1.17/1.40 tff(f8103,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,9),t2tb1(sK0))) | (~spl8_112 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f977,f7975])). 1.17/1.40 tff(f8105,plain,( 1.17/1.40 zero_at1(sK0,9) | (~spl8_0 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f1046,f7975])). 1.17/1.40 tff(f8106,plain,( 1.17/1.40 $less(length1(int,t2tb1(sK0)),9) | (~spl8_128 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f1062,f7975])). 1.17/1.40 tff(f8107,plain,( 1.17/1.40 $less(length1(int,t2tb1(sK0)),$sum(1,9)) | (~spl8_130 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f1069,f7975])). 1.17/1.40 tff(f8109,plain,( 1.17/1.40 ~$less(9,$sum(1,length1(int,t2tb1(sK0)))) | (~spl8_143 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f1126,f7975])). 1.17/1.40 tff(f8111,plain,( 1.17/1.40 ~$less($sum(1,9),$sum(1,length1(int,t2tb1(sK0)))) | (~spl8_145 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f1136,f7975])). 1.17/1.40 tff(f8135,plain,( 1.17/1.40 ~$less($sum(9,sK6(sK1)),9) | (~spl8_211 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f2067,f7975])). 1.17/1.40 tff(f8136,plain,( 1.17/1.40 ~$less(sK7(sK0,$sum(9,sK6(sK1))),0) | (~spl8_213 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f2076,f7975])). 1.17/1.40 tff(f8137,plain,( 1.17/1.40 $less(sK7(sK0,$sum(9,sK6(sK1))),$sum(9,sK6(sK1))) | (~spl8_216 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f2088,f7975])). 1.17/1.40 tff(f8138,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(9,sK6(sK1))),t2tb1(sK0))) | (~spl8_218 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f2097,f7975])). 1.17/1.40 tff(f8139,plain,( 1.17/1.40 ~$less($sum(9,sK6(sK1)),length1(int,t2tb1(sK0))) | (~spl8_221 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f2109,f7975])). 1.17/1.40 tff(f8143,plain,( 1.17/1.40 ~$less($sum(9,sK7(sK1,sK6(sK1))),9) | (~spl8_415 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f4353,f7975])). 1.17/1.40 tff(f8144,plain,( 1.17/1.40 ~$less(sK7(sK0,$sum(9,sK7(sK1,sK6(sK1)))),0) | (~spl8_419 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f4361,f7975])). 1.17/1.40 tff(f8145,plain,( 1.17/1.40 $less(sK7(sK0,$sum(9,sK7(sK1,sK6(sK1)))),$sum(9,sK7(sK1,sK6(sK1)))) | (~spl8_420 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f4366,f7975])). 1.17/1.40 tff(f8146,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(9,sK7(sK1,sK6(sK1)))),t2tb1(sK0))) | (~spl8_422 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f4371,f7975])). 1.17/1.40 tff(f8148,plain,( 1.17/1.40 ~$less($sum(9,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0))) | (~spl8_427 | ~spl8_688)), 1.17/1.40 inference(superposition,[],[f4381,f7975])). 1.17/1.40 tff(f8164,plain,( 1.17/1.40 ~$less(sK7(sK1,sK6(sK1)),$sum(9,-9)) | (~spl8_415 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8143])). 1.17/1.40 tff(f8165,plain,( 1.17/1.40 ~$less(sK7(sK1,sK6(sK1)),0) | (~spl8_415 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8164])). 1.17/1.40 tff(f8166,plain,( 1.17/1.40 ~$less(sK6(sK1),$sum(9,-9)) | (~spl8_211 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8135])). 1.17/1.40 tff(f8167,plain,( 1.17/1.40 ~$less(sK6(sK1),0) | (~spl8_211 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8166])). 1.17/1.40 tff(f8172,plain,( 1.17/1.40 ~$less($sum(10,-1),length1(int,t2tb1(sK0))) | (~spl8_145 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8111])). 1.17/1.40 tff(f8173,plain,( 1.17/1.40 ~$less(9,length1(int,t2tb1(sK0))) | (~spl8_145 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8172])). 1.17/1.40 tff(f8174,plain,( 1.17/1.40 ~$less($sum(9,-1),length1(int,t2tb1(sK0))) | (~spl8_143 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8109])). 1.17/1.40 tff(f8175,plain,( 1.17/1.40 ~$less(8,length1(int,t2tb1(sK0))) | (~spl8_143 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8174])). 1.17/1.40 tff(f8176,plain,( 1.17/1.40 $less(length1(int,t2tb1(sK0)),10) | (~spl8_130 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8107])). 1.17/1.40 tff(f8182,plain,( 1.17/1.40 spl8_693 <=> ~$less(9,length1(int,t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_693])])). 1.17/1.40 tff(f8184,plain,( 1.17/1.40 ~spl8_693 | spl8_3 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8077,f7974,f245,f8182])). 1.17/1.40 tff(f8186,plain,( 1.17/1.40 spl8_694 <=> length1(int,t2tb1(sK0)) = $sum(9,length1(int,t2tb1(sK1)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_694])])). 1.17/1.40 tff(f8188,plain,( 1.17/1.40 spl8_694 | ~spl8_18 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8079,f7974,f280,f8186])). 1.17/1.40 tff(f8189,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,9,t2tb1(sK0))) | (~spl8_46 | ~spl8_94 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f8093,f844])). 1.17/1.40 tff(f8191,plain,( 1.17/1.40 spl8_696 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,9,t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_696])])). 1.17/1.40 tff(f8193,plain,( 1.17/1.40 spl8_696 | ~spl8_46 | ~spl8_94 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8189,f7974,f843,f479,f8191])). 1.17/1.40 tff(f8195,plain,( 1.17/1.40 spl8_698 <=> some(int,t2tb2(0)) = nth1(int,9,t2tb1(sK0))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_698])])). 1.17/1.40 tff(f8197,plain,( 1.17/1.40 spl8_698 | ~spl8_106 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8102,f7974,f963,f8195])). 1.17/1.40 tff(f8199,plain,( 1.17/1.40 spl8_700 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,9),t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_700])])). 1.17/1.40 tff(f8201,plain,( 1.17/1.40 spl8_700 | ~spl8_112 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8103,f7974,f976,f8199])). 1.17/1.40 tff(f8203,plain,( 1.17/1.40 spl8_702 <=> zero_at1(sK0,9)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_702])])). 1.17/1.40 tff(f8205,plain,( 1.17/1.40 spl8_702 | ~spl8_0 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8105,f7974,f1045,f8203])). 1.17/1.40 tff(f8207,plain,( 1.17/1.40 spl8_704 <=> $less(length1(int,t2tb1(sK0)),9)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_704])])). 1.17/1.40 tff(f8209,plain,( 1.17/1.40 spl8_704 | ~spl8_128 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8106,f7974,f1061,f8207])). 1.17/1.40 tff(f8210,plain,( 1.17/1.40 spl8_334 | ~spl8_130 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8176,f7974,f1068,f3474])). 1.17/1.40 tff(f8212,plain,( 1.17/1.40 spl8_707 <=> ~$less(8,length1(int,t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_707])])). 1.17/1.40 tff(f8214,plain,( 1.17/1.40 ~spl8_707 | spl8_143 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8175,f7974,f1125,f8212])). 1.17/1.40 tff(f8215,plain,( 1.17/1.40 ~spl8_693 | spl8_145 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8173,f7974,f1135,f8182])). 1.17/1.40 tff(f8222,plain,( 1.17/1.40 ~spl8_173 | spl8_211 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8167,f7974,f2066,f4308])). 1.17/1.40 tff(f8224,plain,( 1.17/1.40 spl8_709 <=> ~$less(sK7(sK0,$sum(9,sK6(sK1))),0)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_709])])). 1.17/1.40 tff(f8226,plain,( 1.17/1.40 ~spl8_709 | spl8_213 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8136,f7974,f2075,f8224])). 1.17/1.40 tff(f8228,plain,( 1.17/1.40 spl8_710 <=> $less(sK7(sK0,$sum(9,sK6(sK1))),$sum(9,sK6(sK1)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_710])])). 1.17/1.40 tff(f8230,plain,( 1.17/1.40 spl8_710 | ~spl8_216 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8137,f7974,f2087,f8228])). 1.17/1.40 tff(f8232,plain,( 1.17/1.40 spl8_712 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(9,sK6(sK1))),t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_712])])). 1.17/1.40 tff(f8234,plain,( 1.17/1.40 spl8_712 | ~spl8_218 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8138,f7974,f2096,f8232])). 1.17/1.40 tff(f8236,plain,( 1.17/1.40 spl8_715 <=> ~$less($sum(9,sK6(sK1)),length1(int,t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_715])])). 1.17/1.40 tff(f8238,plain,( 1.17/1.40 ~spl8_715 | spl8_221 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8139,f7974,f2108,f8236])). 1.17/1.40 tff(f8240,plain,( 1.17/1.40 spl8_571 <=> ~$less(sK7(sK1,sK6(sK1)),0)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_571])])). 1.17/1.40 tff(f8241,plain,( 1.17/1.40 ~$less(sK7(sK1,sK6(sK1)),0) | ~spl8_571), 1.17/1.40 inference(avatar_component_clause,[],[f8240])). 1.17/1.40 tff(f8242,plain,( 1.17/1.40 ~spl8_571 | spl8_415 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8165,f7974,f4352,f8240])). 1.17/1.40 tff(f8244,plain,( 1.17/1.40 spl8_717 <=> ~$less(sK7(sK0,$sum(9,sK7(sK1,sK6(sK1)))),0)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_717])])). 1.17/1.40 tff(f8246,plain,( 1.17/1.40 ~spl8_717 | spl8_419 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8144,f7974,f4360,f8244])). 1.17/1.40 tff(f8248,plain,( 1.17/1.40 spl8_718 <=> $less(sK7(sK0,$sum(9,sK7(sK1,sK6(sK1)))),$sum(9,sK7(sK1,sK6(sK1))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_718])])). 1.17/1.40 tff(f8250,plain,( 1.17/1.40 spl8_718 | ~spl8_420 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8145,f7974,f4365,f8248])). 1.17/1.40 tff(f8252,plain,( 1.17/1.40 spl8_720 <=> tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,$sum(9,sK7(sK1,sK6(sK1)))),t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_720])])). 1.17/1.40 tff(f8254,plain,( 1.17/1.40 spl8_720 | ~spl8_422 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8146,f7974,f4370,f8252])). 1.17/1.40 tff(f8256,plain,( 1.17/1.40 spl8_723 <=> ~$less($sum(9,sK7(sK1,sK6(sK1))),length1(int,t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_723])])). 1.17/1.40 tff(f8258,plain,( 1.17/1.40 ~spl8_723 | spl8_427 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8148,f7974,f4380,f8256])). 1.17/1.40 tff(f8260,plain,( 1.17/1.40 $less(0,sK6(sK1)) | 0 = sK6(sK1) | ~spl8_173), 1.17/1.40 inference(resolution,[],[f4309,f62])). 1.17/1.40 tff(f8261,plain,( 1.17/1.40 $less(0,sK6(sK1)) | 0 = sK6(sK1) | ~spl8_173), 1.17/1.40 inference(resolution,[],[f4309,f62])). 1.17/1.40 tff(f8262,plain,( 1.17/1.40 $less(0,$sum(sK6(sK1),1)) | ~spl8_173), 1.17/1.40 inference(resolution,[],[f4309,f64])). 1.17/1.40 tff(f8263,plain,( 1.17/1.40 $less($uminus(1),sK6(sK1)) | ~spl8_173), 1.17/1.40 inference(evaluation,[],[f8262])). 1.17/1.40 tff(f8264,plain,( 1.17/1.40 $less(-1,sK6(sK1)) | ~spl8_173), 1.17/1.40 inference(evaluation,[],[f8263])). 1.17/1.40 tff(f8266,plain,( 1.17/1.40 spl8_724 <=> 0 = sK6(sK1)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_724])])). 1.17/1.40 tff(f8269,plain,( 1.17/1.40 spl8_726 <=> $less(0,sK6(sK1))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_726])])). 1.17/1.40 tff(f8271,plain,( 1.17/1.40 spl8_724 | spl8_726 | spl8_173), 1.17/1.40 inference(avatar_split_clause,[],[f8260,f4308,f8269,f8266])). 1.17/1.40 tff(f8272,plain,( 1.17/1.40 spl8_724 | spl8_726 | spl8_173), 1.17/1.40 inference(avatar_split_clause,[],[f8261,f4308,f8269,f8266])). 1.17/1.40 tff(f8274,plain,( 1.17/1.40 spl8_728 <=> $less(-1,sK6(sK1))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_728])])). 1.17/1.40 tff(f8276,plain,( 1.17/1.40 spl8_728 | spl8_173), 1.17/1.40 inference(avatar_split_clause,[],[f8264,f4308,f8274])). 1.17/1.40 tff(f8324,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) != tb2t(hd(int,t2tb1(sK0))) | ~$less(0,sK2) | $less(0,0) | nil(int) = t2tb1(sK0)), 1.17/1.40 inference(superposition,[],[f162,f1760])). 1.17/1.40 tff(f8366,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) != tb2t(hd(int,t2tb1(sK0))) | ~$less(0,sK2) | nil(int) = t2tb1(sK0)), 1.17/1.40 inference(evaluation,[],[f8324])). 1.17/1.40 tff(f8372,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) != tb2t(hd(int,t2tb1(sK0))) | nil(int) = t2tb1(sK0) | ~spl8_24), 1.17/1.40 inference(subsumption_resolution,[],[f8366,f298])). 1.17/1.40 tff(f8374,plain,( 1.17/1.40 spl8_730 <=> nil(int) = t2tb1(sK0)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_730])])). 1.17/1.40 tff(f8377,plain,( 1.17/1.40 spl8_733 <=> tb2t(some(int,t2tb2(0))) != tb2t(hd(int,t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_733])])). 1.17/1.40 tff(f8379,plain,( 1.17/1.40 spl8_730 | ~spl8_733 | ~spl8_24), 1.17/1.40 inference(avatar_split_clause,[],[f8372,f297,f8377,f8374])). 1.17/1.40 tff(f8397,plain,( 1.17/1.40 ( ! [X0:$int] : (tb2t(nth1(int,$sum(0,X0),t2tb1(sK1))) = tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0))) | $less($sum(length1(int,t2tb1(sK1)),X0),0) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.40 inference(superposition,[],[f1237,f1802])). 1.17/1.40 tff(f8424,plain,( 1.17/1.40 ( ! [X19:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X19),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X19),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X19),0) | ~no_zero1(sK1) | $less($sum(length1(int,t2tb1(sK1)),X19),0)) ) | ~spl8_18), 1.17/1.40 inference(superposition,[],[f196,f1237])). 1.17/1.40 tff(f8430,plain,( 1.17/1.40 ( ! [X26:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X26),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X26),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X26),0) | ~no_zero1(tb2t1(t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X26),0)) ) | ~spl8_18), 1.17/1.40 inference(superposition,[],[f729,f1237])). 1.17/1.40 tff(f8437,plain,( 1.17/1.40 ( ! [X26:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X26),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X26),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X26),0) | ~no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_18), 1.17/1.40 inference(duplicate_literal_removal,[],[f8430])). 1.17/1.40 tff(f8439,plain,( 1.17/1.40 ( ! [X19:$int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X19),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X19),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X19),0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.40 inference(duplicate_literal_removal,[],[f8424])). 1.17/1.40 tff(f8459,plain,( 1.17/1.40 ( ! [X0:$int] : (tb2t(nth1(int,X0,t2tb1(sK1))) = tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0))) | $less($sum(length1(int,t2tb1(sK1)),X0),0) | ~zero_at1(sK1,0) | ~no_zero1(sK1)) ) | ~spl8_18), 1.17/1.40 inference(evaluation,[],[f8397])). 1.17/1.40 tff(f8504,plain,( 1.17/1.40 ( ! [X26:$int] : (~no_zero1(sK1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X26),t2tb1(sK0))) | ~$less($sum(length1(int,t2tb1(sK1)),X26),length1(int,t2tb1(sK1))) | $less($sum(length1(int,t2tb1(sK1)),X26),0)) ) | ~spl8_18), 1.17/1.40 inference(forward_demodulation,[],[f8437,f177])). 1.17/1.40 tff(f8702,plain,( 1.17/1.40 ( ! [X2:$int] : (length1(int,t2tb1(sK0)) = 0 | $less(0,X2) | ~$less($sum(1,sK2),X2)) ) | ~spl8_130), 1.17/1.40 inference(resolution,[],[f1465,f1129])). 1.17/1.40 tff(f8704,plain,( 1.17/1.40 ( ! [X3:$int] : (length1(int,t2tb1(sK0)) = 0 | $less(0,$sum(X3,length1(int,t2tb1(sK1)))) | ~$less(sK2,X3)) ) | ~spl8_18), 1.17/1.40 inference(resolution,[],[f1465,f331])). 1.17/1.40 tff(f8706,plain,( 1.17/1.40 ( ! [X6:$int,X5:$int] : (length1(int,t2tb1(sK0)) = 0 | $less(0,$sum(X5,$sum(X6,length1(int,t2tb1(sK1))))) | ~$less(sK2,$sum(X5,X6))) ) | ~spl8_18), 1.17/1.40 inference(resolution,[],[f1465,f1228])). 1.17/1.40 tff(f8707,plain,( 1.17/1.40 ( ! [X7:$int] : (length1(int,t2tb1(sK0)) = 0 | $less(0,$sum(length1(int,t2tb1(sK1)),X7)) | ~$less(sK2,X7)) ) | ~spl8_18), 1.17/1.40 inference(resolution,[],[f1465,f1226])). 1.17/1.40 tff(f8718,plain,( 1.17/1.40 ( ! [X39:ty,X41:$int,X40:uni] : (length1(X39,X40) = 0 | $less(0,$sum(X41,length1(int,t2tb1(sK1)))) | ~$less(length1(X39,X40),length1(int,t2tb1(sK0))) | ~$less(sK2,X41)) ) | ~spl8_18), 1.17/1.40 inference(resolution,[],[f1465,f1222])). 1.17/1.40 tff(f8749,plain,( 1.17/1.40 ( ! [X2:$int] : (~$less($sum(1,9),X2) | length1(int,t2tb1(sK0)) = 0 | $less(0,X2)) ) | (~spl8_130 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f8702,f7975])). 1.17/1.40 tff(f8750,plain,( 1.17/1.40 ( ! [X2:$int] : (~$less(10,X2) | length1(int,t2tb1(sK0)) = 0 | $less(0,X2)) ) | (~spl8_130 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f8749])). 1.17/1.40 tff(f8752,plain,( 1.17/1.40 spl8_734 <=> ! [X2 : $int] : (~$less(10,X2) | $less(0,X2))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_734])])). 1.17/1.40 tff(f8754,plain,( 1.17/1.40 spl8_550 | spl8_734 | ~spl8_130 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8750,f7974,f1068,f8752,f4959])). 1.17/1.40 tff(f8755,plain,( 1.17/1.40 ( ! [X3:$int] : (~$less(9,X3) | length1(int,t2tb1(sK0)) = 0 | $less(0,$sum(X3,length1(int,t2tb1(sK1))))) ) | (~spl8_18 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f8704,f7975])). 1.17/1.40 tff(f8757,plain,( 1.17/1.40 spl8_736 <=> ! [X3 : $int] : (~$less(9,X3) | $less(0,$sum(X3,length1(int,t2tb1(sK1)))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_736])])). 1.17/1.40 tff(f8759,plain,( 1.17/1.40 spl8_550 | spl8_736 | ~spl8_18 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8755,f7974,f280,f8757,f4959])). 1.17/1.40 tff(f8760,plain,( 1.17/1.40 ( ! [X6:$int,X5:$int] : (~$less(9,$sum(X5,X6)) | length1(int,t2tb1(sK0)) = 0 | $less(0,$sum(X5,$sum(X6,length1(int,t2tb1(sK1)))))) ) | (~spl8_18 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f8706,f7975])). 1.17/1.40 tff(f8762,plain,( 1.17/1.40 spl8_738 <=> ! [X5 : $int,X6 : $int] : (~$less(9,$sum(X5,X6)) | $less(0,$sum(X5,$sum(X6,length1(int,t2tb1(sK1))))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_738])])). 1.17/1.40 tff(f8764,plain,( 1.17/1.40 spl8_550 | spl8_738 | ~spl8_18 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8760,f7974,f280,f8762,f4959])). 1.17/1.40 tff(f8765,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less(9,X7) | length1(int,t2tb1(sK0)) = 0 | $less(0,$sum(length1(int,t2tb1(sK1)),X7))) ) | (~spl8_18 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f8707,f7975])). 1.17/1.40 tff(f8767,plain,( 1.17/1.40 spl8_740 <=> ! [X7 : $int] : (~$less(9,X7) | $less(0,$sum(length1(int,t2tb1(sK1)),X7)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_740])])). 1.17/1.40 tff(f8769,plain,( 1.17/1.40 spl8_550 | spl8_740 | ~spl8_18 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8765,f7974,f280,f8767,f4959])). 1.17/1.40 tff(f8771,plain,( 1.17/1.40 ( ! [X39:ty,X41:$int,X40:uni] : (~$less(9,X41) | length1(X39,X40) = 0 | $less(0,$sum(X41,length1(int,t2tb1(sK1)))) | ~$less(length1(X39,X40),length1(int,t2tb1(sK0)))) ) | (~spl8_18 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f8718,f7975])). 1.17/1.40 tff(f8773,plain,( 1.17/1.40 spl8_742 <=> ! [X40 : uni,X39 : ty] : (length1(X39,X40) = 0 | ~$less(length1(X39,X40),length1(int,t2tb1(sK0))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_742])])). 1.17/1.40 tff(f8775,plain,( 1.17/1.40 spl8_742 | spl8_736 | ~spl8_18 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f8771,f7974,f280,f8757,f8773])). 1.17/1.40 tff(f8959,plain,( 1.17/1.40 no_zero1(sK1) | ~$less(1,sK2) | $less($sum(1,sK6(sK1)),length1(int,t2tb1(sK0))) | ~spl8_18), 1.17/1.40 inference(resolution,[],[f1521,f1212])). 1.17/1.40 tff(f8967,plain,( 1.17/1.40 $less($sum(1,sK6(sK5)),length1(int,t2tb1(sK1))) | no_zero1(sK5) | ~spl8_86), 1.17/1.40 inference(superposition,[],[f1521,f827])). 1.17/1.40 tff(f8970,plain,( 1.17/1.40 ~$less(1,sK2) | $less($sum(1,sK6(sK1)),length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_169)), 1.17/1.40 inference(subsumption_resolution,[],[f8959,f1364])). 1.17/1.40 tff(f8971,plain,( 1.17/1.40 $less($sum(1,sK6(sK1)),length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_40 | ~spl8_169)), 1.17/1.40 inference(subsumption_resolution,[],[f8970,f372])). 1.17/1.40 tff(f8973,plain,( 1.17/1.40 spl8_744 <=> $less($sum(1,sK6(sK1)),length1(int,t2tb1(sK0)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_744])])). 1.17/1.40 tff(f8975,plain,( 1.17/1.40 spl8_744 | ~spl8_18 | ~spl8_40 | spl8_169), 1.17/1.40 inference(avatar_split_clause,[],[f8971,f1363,f371,f280,f8973])). 1.17/1.40 tff(f8981,plain,( 1.17/1.40 $less($sum(1,sK6(sK5)),length1(int,t2tb1(sK1))) | (~spl8_86 | ~spl8_605)), 1.17/1.40 inference(subsumption_resolution,[],[f8967,f5692])). 1.17/1.40 tff(f8983,plain,( 1.17/1.40 spl8_746 <=> $less($sum(1,sK6(sK5)),length1(int,t2tb1(sK1)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_746])])). 1.17/1.40 tff(f8985,plain,( 1.17/1.40 spl8_746 | ~spl8_86 | spl8_605), 1.17/1.40 inference(avatar_split_clause,[],[f8981,f5691,f826,f8983])). 1.17/1.40 tff(f8987,plain,( 1.17/1.40 spl8_604 <=> no_zero1(sK5)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_604])])). 1.17/1.40 tff(f8989,plain,( 1.17/1.40 spl8_604 | spl8_746 | ~spl8_86), 1.17/1.40 inference(avatar_split_clause,[],[f8967,f826,f8983,f8987])). 1.17/1.40 tff(f8991,plain,( 1.17/1.40 spl8_749 <=> ~zero_at1(sK5,0)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_749])])). 1.17/1.40 tff(f8994,plain,( 1.17/1.40 spl8_750 <=> length1(int,t2tb1(sK1)) = 1), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_750])])). 1.17/1.40 tff(f8996,plain,( 1.17/1.40 ~spl8_605 | ~spl8_749 | spl8_750 | ~spl8_86), 1.17/1.40 inference(avatar_split_clause,[],[f7535,f826,f8994,f8991,f5691])). 1.17/1.40 tff(f9055,plain,( 1.17/1.40 ( ! [X1:$int] : (no_zero1(sK1) | ~$less(X1,sK2) | $less($sum(sK6(sK1),X1),length1(int,t2tb1(sK0)))) ) | ~spl8_18), 1.17/1.40 inference(resolution,[],[f1620,f1212])). 1.17/1.40 tff(f9071,plain,( 1.17/1.40 $less($sum(sK6(sK1),sK2),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_18), 1.17/1.40 inference(superposition,[],[f1620,f281])). 1.17/1.40 tff(f9079,plain,( 1.17/1.40 $less($sum(sK6(sK1),sK2),length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_169)), 1.17/1.40 inference(subsumption_resolution,[],[f9071,f1364])). 1.17/1.40 tff(f9080,plain,( 1.17/1.40 $less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | (~spl8_18 | ~spl8_169)), 1.17/1.40 inference(forward_demodulation,[],[f9079,f55])). 1.17/1.40 tff(f9081,plain,( 1.17/1.40 $false | (~spl8_18 | ~spl8_169 | ~spl8_221)), 1.17/1.40 inference(subsumption_resolution,[],[f9080,f2109])). 1.17/1.40 tff(f9082,plain,( 1.17/1.40 ~spl8_18 | spl8_169 | spl8_221), 1.17/1.40 inference(avatar_contradiction_clause,[],[f9081])). 1.17/1.40 tff(f9083,plain,( 1.17/1.40 ~zero_at1(sK0,sK2) | length1(int,t2tb1(sK1)) = 0 | ~spl8_170), 1.17/1.40 inference(evaluation,[],[f4190])). 1.17/1.40 tff(f9084,plain,( 1.17/1.40 $less($sum(sK2,sK6(sK1)),length1(int,t2tb1(sK0))) | no_zero1(sK1) | ~spl8_18), 1.17/1.40 inference(forward_demodulation,[],[f9071,f55])). 1.17/1.40 tff(f9085,plain,( 1.17/1.40 no_zero1(sK1) | (~spl8_18 | ~spl8_221)), 1.17/1.40 inference(subsumption_resolution,[],[f9084,f2109])). 1.17/1.40 tff(f9086,plain,( 1.17/1.40 spl8_168 | ~spl8_18 | spl8_221), 1.17/1.40 inference(avatar_split_clause,[],[f9085,f2108,f280,f2113])). 1.17/1.40 tff(f9087,plain,( 1.17/1.40 ( ! [X1:$int] : (~$less(X1,9) | no_zero1(sK1) | $less($sum(sK6(sK1),X1),length1(int,t2tb1(sK0)))) ) | (~spl8_18 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9055,f7975])). 1.17/1.40 tff(f9089,plain,( 1.17/1.40 spl8_752 <=> ! [X1 : $int] : (~$less(X1,9) | $less($sum(sK6(sK1),X1),length1(int,t2tb1(sK0))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_752])])). 1.17/1.40 tff(f9091,plain,( 1.17/1.40 spl8_168 | spl8_752 | ~spl8_18 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9087,f7974,f280,f9089,f2113])). 1.17/1.40 tff(f9097,plain,( 1.17/1.40 spl8_754 <=> ! [X26 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X26),t2tb1(sK0))) | $less($sum(length1(int,t2tb1(sK1)),X26),0) | ~$less($sum(length1(int,t2tb1(sK1)),X26),length1(int,t2tb1(sK1))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_754])])). 1.17/1.40 tff(f9099,plain,( 1.17/1.40 spl8_754 | ~spl8_169 | ~spl8_18), 1.17/1.40 inference(avatar_split_clause,[],[f8504,f280,f1363,f9097])). 1.17/1.40 tff(f9100,plain,( 1.17/1.40 ~spl8_169 | spl8_754 | ~spl8_18), 1.17/1.40 inference(avatar_split_clause,[],[f8439,f280,f9097,f1363])). 1.17/1.40 tff(f9101,plain,( 1.17/1.40 ( ! [X0:$int] : (tb2t(nth1(int,X0,t2tb1(sK1))) = tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0))) | $less($sum(length1(int,t2tb1(sK1)),X0),0) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f8459,f3326])). 1.17/1.40 tff(f9103,plain,( 1.17/1.40 spl8_756 <=> ! [X0 : $int] : (tb2t(nth1(int,X0,t2tb1(sK1))) = tb2t(nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0))) | $less($sum(length1(int,t2tb1(sK1)),X0),0))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_756])])). 1.17/1.40 tff(f9105,plain,( 1.17/1.40 ~spl8_169 | spl8_756 | ~spl8_18 | ~spl8_320), 1.17/1.40 inference(avatar_split_clause,[],[f9101,f3325,f280,f9103,f1363])). 1.17/1.40 tff(f9112,plain,( 1.17/1.40 spl8_754 | ~spl8_169 | ~spl8_18), 1.17/1.40 inference(avatar_split_clause,[],[f7816,f280,f1363,f9097])). 1.17/1.40 tff(f9113,plain,( 1.17/1.40 ~spl8_169 | spl8_754 | ~spl8_18), 1.17/1.40 inference(avatar_split_clause,[],[f7767,f280,f9097,f1363])). 1.17/1.40 tff(f9114,plain,( 1.17/1.40 ( ! [X0:$int] : (nth1(int,X0,t2tb1(sK1)) = nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0)) | $less($sum(length1(int,t2tb1(sK1)),X0),0) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7785,f3326])). 1.17/1.40 tff(f9116,plain,( 1.17/1.40 spl8_758 <=> ! [X0 : $int] : (nth1(int,X0,t2tb1(sK1)) = nth1(int,$sum(length1(int,t2tb1(sK0)),X0),t2tb1(sK0)) | $less($sum(length1(int,t2tb1(sK1)),X0),0))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_758])])). 1.17/1.40 tff(f9118,plain,( 1.17/1.40 ~spl8_169 | spl8_758 | ~spl8_18 | ~spl8_320), 1.17/1.40 inference(avatar_split_clause,[],[f9114,f3325,f280,f9116,f1363])). 1.17/1.40 tff(f9131,plain,( 1.17/1.40 ( ! [X10:$int] : (~$less($sum(sK7(sK1,sK6(sK1)),sK2),X10) | $less($sum(sK7(sK1,sK6(sK1)),sK2),0) | ~zero_at1(sK0,X10) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_571), 1.17/1.40 inference(subsumption_resolution,[],[f7616,f8241])). 1.17/1.40 tff(f9132,plain,( 1.17/1.40 ( ! [X10:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X10) | $less($sum(sK7(sK1,sK6(sK1)),sK2),0) | ~zero_at1(sK0,X10) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_571), 1.17/1.40 inference(forward_demodulation,[],[f9131,f55])). 1.17/1.40 tff(f9133,plain,( 1.17/1.40 ( ! [X10:$int] : (~$less($sum(9,sK7(sK1,sK6(sK1))),X10) | $less($sum(sK7(sK1,sK6(sK1)),sK2),0) | ~zero_at1(sK0,X10) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_571 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9132,f7975])). 1.17/1.40 tff(f9134,plain,( 1.17/1.40 ( ! [X10:$int] : ($less($sum(sK2,sK7(sK1,sK6(sK1))),0) | ~$less($sum(9,sK7(sK1,sK6(sK1))),X10) | ~zero_at1(sK0,X10) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_571 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9133,f55])). 1.17/1.40 tff(f9135,plain,( 1.17/1.40 ( ! [X10:$int] : (~$less($sum(9,sK7(sK1,sK6(sK1))),X10) | ~zero_at1(sK0,X10) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_571 | ~spl8_573 | ~spl8_688)), 1.17/1.40 inference(subsumption_resolution,[],[f9134,f5497])). 1.17/1.40 tff(f9137,plain,( 1.17/1.40 spl8_760 <=> ! [X10 : $int] : (~$less($sum(9,sK7(sK1,sK6(sK1))),X10) | ~zero_at1(sK0,X10))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_760])])). 1.17/1.40 tff(f9139,plain,( 1.17/1.40 spl8_168 | spl8_388 | spl8_760 | spl8_571 | spl8_573 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9135,f7974,f5496,f8240,f9137,f4247,f2113])). 1.17/1.40 tff(f9140,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(sK6(sK1),sK2),X7) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X7) | no_zero1(sK1)) ) | ~spl8_173), 1.17/1.40 inference(subsumption_resolution,[],[f7618,f4309])). 1.17/1.40 tff(f9141,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(sK2,sK6(sK1)),X7) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X7) | no_zero1(sK1)) ) | ~spl8_173), 1.17/1.40 inference(forward_demodulation,[],[f9140,f55])). 1.17/1.40 tff(f9142,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(9,sK6(sK1)),X7) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X7) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9141,f7975])). 1.17/1.40 tff(f9143,plain,( 1.17/1.40 ( ! [X7:$int] : ($less($sum(sK2,sK6(sK1)),0) | ~$less($sum(9,sK6(sK1)),X7) | ~zero_at1(sK0,X7) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9142,f55])). 1.17/1.40 tff(f9144,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(9,sK6(sK1)),X7) | ~zero_at1(sK0,X7) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_491 | ~spl8_688)), 1.17/1.40 inference(subsumption_resolution,[],[f9143,f5382])). 1.17/1.40 tff(f9146,plain,( 1.17/1.40 spl8_762 <=> ! [X7 : $int] : (~$less($sum(9,sK6(sK1)),X7) | ~zero_at1(sK0,X7))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_762])])). 1.17/1.40 tff(f9148,plain,( 1.17/1.40 spl8_168 | spl8_762 | spl8_173 | spl8_491 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9144,f7974,f5381,f4308,f9146,f2113])). 1.17/1.40 tff(f9149,plain,( 1.17/1.40 ( ! [X6:$int] : (~$less($sum(sK6(sK1),sK2),X6) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X6) | no_zero1(sK1)) ) | ~spl8_173), 1.17/1.40 inference(subsumption_resolution,[],[f7624,f4309])). 1.17/1.40 tff(f9150,plain,( 1.17/1.40 ( ! [X6:$int] : (~$less($sum(sK2,sK6(sK1)),X6) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X6) | no_zero1(sK1)) ) | ~spl8_173), 1.17/1.40 inference(forward_demodulation,[],[f9149,f55])). 1.17/1.40 tff(f9151,plain,( 1.17/1.40 ( ! [X6:$int] : (~$less($sum(9,sK6(sK1)),X6) | $less($sum(sK6(sK1),sK2),0) | ~zero_at1(sK0,X6) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9150,f7975])). 1.17/1.40 tff(f9152,plain,( 1.17/1.40 ( ! [X6:$int] : ($less($sum(sK2,sK6(sK1)),0) | ~$less($sum(9,sK6(sK1)),X6) | ~zero_at1(sK0,X6) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9151,f55])). 1.17/1.40 tff(f9153,plain,( 1.17/1.40 ( ! [X6:$int] : (~$less($sum(9,sK6(sK1)),X6) | ~zero_at1(sK0,X6) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_491 | ~spl8_688)), 1.17/1.40 inference(subsumption_resolution,[],[f9152,f5382])). 1.17/1.40 tff(f9154,plain,( 1.17/1.40 spl8_168 | spl8_762 | spl8_173 | spl8_491 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9153,f7974,f5381,f4308,f9146,f2113])). 1.17/1.40 tff(f9155,plain,( 1.17/1.40 ( ! [X71:$int] : (~zero_at1(sK0,X71) | ~$less(X71,sK2) | $less($sum(X71,length1(int,t2tb1(sK1))),0) | ~no_zero1(sK1)) ) | (~spl8_320 | ~spl8_520)), 1.17/1.40 inference(subsumption_resolution,[],[f7536,f3326])). 1.17/1.40 tff(f9156,plain,( 1.17/1.40 ( ! [X71:$int] : (~$less(X71,9) | ~zero_at1(sK0,X71) | $less($sum(X71,length1(int,t2tb1(sK1))),0) | ~no_zero1(sK1)) ) | (~spl8_320 | ~spl8_520 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9155,f7975])). 1.17/1.40 tff(f9158,plain,( 1.17/1.40 spl8_764 <=> ! [X71 : $int] : (~$less(X71,9) | $less($sum(X71,length1(int,t2tb1(sK1))),0) | ~zero_at1(sK0,X71))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_764])])). 1.17/1.40 tff(f9160,plain,( 1.17/1.40 ~spl8_169 | spl8_764 | ~spl8_320 | ~spl8_520 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9156,f7974,f4647,f3325,f9158,f1363])). 1.17/1.40 tff(f9161,plain,( 1.17/1.40 ( ! [X68:$int,X67:list_int] : (~zero_at1(X67,X68) | ~zero_at1(X67,length1(int,t2tb1(sK0))) | $less($sum(X68,length1(int,t2tb1(sK1))),0) | ~$less(X68,sK2) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7538,f3326])). 1.17/1.40 tff(f9162,plain,( 1.17/1.40 ( ! [X68:$int,X67:list_int] : (~$less(X68,9) | ~zero_at1(X67,X68) | ~zero_at1(X67,length1(int,t2tb1(sK0))) | $less($sum(X68,length1(int,t2tb1(sK1))),0) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9161,f7975])). 1.17/1.40 tff(f9164,plain,( 1.17/1.40 spl8_766 <=> ! [X67 : list_int,X68 : $int] : (~$less(X68,9) | $less($sum(X68,length1(int,t2tb1(sK1))),0) | ~zero_at1(X67,length1(int,t2tb1(sK0))) | ~zero_at1(X67,X68))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_766])])). 1.17/1.40 tff(f9166,plain,( 1.17/1.40 ~spl8_169 | spl8_766 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9162,f7974,f3325,f280,f9164,f1363])). 1.17/1.40 tff(f9167,plain,( 1.17/1.40 ~no_zero1(sK1) | (~spl8_157 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7540,f3326])). 1.17/1.40 tff(f9168,plain,( 1.17/1.40 ~spl8_169 | spl8_157 | ~spl8_320), 1.17/1.40 inference(avatar_split_clause,[],[f9167,f3325,f1304,f1363])). 1.17/1.40 tff(f9169,plain,( 1.17/1.40 nth1(int,0,t2tb1(sK1)) = nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) | ~no_zero1(sK1) | (~spl8_154 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7502,f3326])). 1.17/1.40 tff(f9170,plain,( 1.17/1.40 some(int,t2tb2(0)) = nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0)) | ~no_zero1(sK1) | (~spl8_94 | ~spl8_154 | ~spl8_320)), 1.17/1.40 inference(forward_demodulation,[],[f9169,f844])). 1.17/1.40 tff(f9172,plain,( 1.17/1.40 spl8_768 <=> some(int,t2tb2(0)) = nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_768])])). 1.17/1.40 tff(f9174,plain,( 1.17/1.40 ~spl8_169 | spl8_768 | ~spl8_94 | ~spl8_154 | ~spl8_320), 1.17/1.40 inference(avatar_split_clause,[],[f9170,f3325,f1277,f843,f9172,f1363])). 1.17/1.40 tff(f9175,plain,( 1.17/1.40 ~zero_at1(sK1,0) | ~no_zero1(sK1) | (~spl8_7 | ~spl8_152)), 1.17/1.40 inference(subsumption_resolution,[],[f7542,f253])). 1.17/1.40 tff(f9176,plain,( 1.17/1.40 ~no_zero1(sK1) | (~spl8_7 | ~spl8_152 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f9175,f3326])). 1.17/1.40 tff(f9177,plain,( 1.17/1.40 ~spl8_169 | spl8_7 | ~spl8_152 | ~spl8_320), 1.17/1.40 inference(avatar_split_clause,[],[f9176,f3325,f1244,f252,f1363])). 1.17/1.40 tff(f9178,plain,( 1.17/1.40 ( ! [X65:$int] : ($sum(sK2,X65) = $sum(length1(int,t2tb1(sK0)),X65) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7543,f3326])). 1.17/1.40 tff(f9179,plain,( 1.17/1.40 ( ! [X65:$int] : ($sum(9,X65) = $sum(length1(int,t2tb1(sK0)),X65) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9178,f7975])). 1.17/1.40 tff(f9181,plain,( 1.17/1.40 spl8_770 <=> ! [X65 : $int] : $sum(9,X65) = $sum(length1(int,t2tb1(sK0)),X65)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_770])])). 1.17/1.40 tff(f9183,plain,( 1.17/1.40 ~spl8_169 | spl8_770 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9179,f7974,f3325,f280,f9181,f1363])). 1.17/1.40 tff(f9184,plain,( 1.17/1.40 ( ! [X54:$int] : (~$less(length1(int,t2tb1(sK0)),$sum(1,X54)) | ~$less(X54,sK2) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7550,f3326])). 1.17/1.40 tff(f9185,plain,( 1.17/1.40 ( ! [X54:$int] : (~$less(X54,9) | ~$less(length1(int,t2tb1(sK0)),$sum(1,X54)) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9184,f7975])). 1.17/1.40 tff(f9187,plain,( 1.17/1.40 spl8_772 <=> ! [X54 : $int] : (~$less(X54,9) | ~$less(length1(int,t2tb1(sK0)),$sum(1,X54)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_772])])). 1.17/1.40 tff(f9189,plain,( 1.17/1.40 ~spl8_169 | spl8_772 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9185,f7974,f3325,f280,f9187,f1363])). 1.17/1.40 tff(f9190,plain,( 1.17/1.40 ( ! [X52:$int,X53:$int] : ($less($sum(X52,X53),$sum(length1(int,t2tb1(sK0)),X53)) | ~$less(X52,sK2) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7551,f3326])). 1.17/1.40 tff(f9191,plain,( 1.17/1.40 ( ! [X52:$int,X53:$int] : (~$less(X52,9) | $less($sum(X52,X53),$sum(length1(int,t2tb1(sK0)),X53)) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9190,f7975])). 1.17/1.40 tff(f9193,plain,( 1.17/1.40 spl8_774 <=> ! [X53 : $int,X52 : $int] : (~$less(X52,9) | $less($sum(X52,X53),$sum(length1(int,t2tb1(sK0)),X53)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_774])])). 1.17/1.40 tff(f9195,plain,( 1.17/1.40 ~spl8_169 | spl8_774 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9191,f7974,f3325,f280,f9193,f1363])). 1.17/1.40 tff(f9196,plain,( 1.17/1.40 ( ! [X50:$int,X51:$int] : ($less($sum(X50,X51),length1(int,t2tb1(sK0))) | ~$less($sum(X50,X51),sK2) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7552,f3326])). 1.17/1.40 tff(f9197,plain,( 1.17/1.40 ( ! [X50:$int,X51:$int] : (~$less($sum(X50,X51),9) | $less($sum(X50,X51),length1(int,t2tb1(sK0))) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9196,f7975])). 1.17/1.40 tff(f9199,plain,( 1.17/1.40 spl8_776 <=> ! [X51 : $int,X50 : $int] : (~$less($sum(X50,X51),9) | $less($sum(X50,X51),length1(int,t2tb1(sK0))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_776])])). 1.17/1.40 tff(f9201,plain,( 1.17/1.40 ~spl8_169 | spl8_776 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9197,f7974,f3325,f280,f9199,f1363])). 1.17/1.40 tff(f9202,plain,( 1.17/1.40 ( ! [X49:$int] : ($less(X49,length1(int,t2tb1(sK0))) | ~$less(X49,sK2) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7553,f3326])). 1.17/1.40 tff(f9203,plain,( 1.17/1.40 ( ! [X49:$int] : (~$less(X49,9) | $less(X49,length1(int,t2tb1(sK0))) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9202,f7975])). 1.17/1.40 tff(f9205,plain,( 1.17/1.40 spl8_778 <=> ! [X49 : $int] : (~$less(X49,9) | $less(X49,length1(int,t2tb1(sK0))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_778])])). 1.17/1.40 tff(f9207,plain,( 1.17/1.40 ~spl8_169 | spl8_778 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9203,f7974,f3325,f280,f9205,f1363])). 1.17/1.40 tff(f9208,plain,( 1.17/1.40 ( ! [X47:$int,X48:$int] : ($less(X47,X48) | ~$less(length1(int,t2tb1(sK0)),X48) | ~$less(X47,sK2) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7554,f3326])). 1.17/1.40 tff(f9209,plain,( 1.17/1.40 ( ! [X47:$int,X48:$int] : (~$less(X47,9) | $less(X47,X48) | ~$less(length1(int,t2tb1(sK0)),X48) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9208,f7975])). 1.17/1.40 tff(f9211,plain,( 1.17/1.40 spl8_780 <=> ! [X48 : $int,X47 : $int] : (~$less(X47,9) | ~$less(length1(int,t2tb1(sK0)),X48) | $less(X47,X48))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_780])])). 1.17/1.40 tff(f9213,plain,( 1.17/1.40 ~spl8_169 | spl8_780 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9209,f7974,f3325,f280,f9211,f1363])). 1.17/1.40 tff(f9214,plain,( 1.17/1.40 ( ! [X45:$int,X46:$int] : (~$less(X45,X46) | ~$less(X46,sK2) | $less(X45,length1(int,t2tb1(sK0))) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7555,f3326])). 1.17/1.40 tff(f9215,plain,( 1.17/1.40 ( ! [X45:$int,X46:$int] : (~$less(X46,9) | ~$less(X45,X46) | $less(X45,length1(int,t2tb1(sK0))) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9214,f7975])). 1.17/1.40 tff(f9217,plain,( 1.17/1.40 spl8_782 <=> ! [X46 : $int,X45 : $int] : (~$less(X46,9) | $less(X45,length1(int,t2tb1(sK0))) | ~$less(X45,X46))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_782])])). 1.17/1.40 tff(f9219,plain,( 1.17/1.40 ~spl8_169 | spl8_782 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9215,f7974,f3325,f280,f9217,f1363])). 1.17/1.40 tff(f9220,plain,( 1.17/1.40 tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~no_zero1(sK1) | (~spl8_52 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7486,f3326])). 1.17/1.40 tff(f9221,plain,( 1.17/1.40 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,length1(int,t2tb1(sK0)),t2tb1(sK0))) | ~no_zero1(sK1) | (~spl8_52 | ~spl8_94 | ~spl8_320)), 1.17/1.40 inference(forward_demodulation,[],[f9220,f844])). 1.17/1.40 tff(f9222,plain,( 1.17/1.40 ~no_zero1(sK1) | (~spl8_52 | ~spl8_94 | ~spl8_159 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f9221,f1318])). 1.17/1.40 tff(f9223,plain,( 1.17/1.40 ~spl8_169 | ~spl8_52 | ~spl8_94 | spl8_159 | ~spl8_320), 1.17/1.40 inference(avatar_split_clause,[],[f9222,f3325,f1317,f843,f490,f1363])). 1.17/1.40 tff(f9224,plain,( 1.17/1.40 ( ! [X42:$int] : ($less(X42,length1(int,t2tb1(sK0))) | ~$less(X42,sK2) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7558,f3326])). 1.17/1.40 tff(f9225,plain,( 1.17/1.40 ( ! [X42:$int] : (~$less(X42,9) | $less(X42,length1(int,t2tb1(sK0))) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9224,f7975])). 1.17/1.40 tff(f9226,plain,( 1.17/1.40 ~spl8_169 | spl8_778 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9225,f7974,f3325,f280,f9205,f1363])). 1.17/1.40 tff(f9227,plain,( 1.17/1.40 ( ! [X41:$int] : ($sum(sK2,X41) = $sum(length1(int,t2tb1(sK0)),X41) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f7559,f3326])). 1.17/1.40 tff(f9228,plain,( 1.17/1.40 ( ! [X41:$int] : ($sum(9,X41) = $sum(length1(int,t2tb1(sK0)),X41) | ~no_zero1(sK1)) ) | (~spl8_18 | ~spl8_320 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9227,f7975])). 1.17/1.40 tff(f9229,plain,( 1.17/1.40 ~spl8_169 | spl8_770 | ~spl8_18 | ~spl8_320 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9228,f7974,f3325,f280,f9181,f1363])). 1.17/1.40 tff(f9230,plain,( 1.17/1.40 ~zero_at1(sK1,0) | ~no_zero1(sK1) | (~spl8_7 | ~spl8_18)), 1.17/1.40 inference(subsumption_resolution,[],[f7560,f253])). 1.17/1.40 tff(f9231,plain,( 1.17/1.40 ~no_zero1(sK1) | (~spl8_7 | ~spl8_18 | ~spl8_320)), 1.17/1.40 inference(subsumption_resolution,[],[f9230,f3326])). 1.17/1.40 tff(f9232,plain,( 1.17/1.40 ~spl8_169 | spl8_7 | ~spl8_18 | ~spl8_320), 1.17/1.40 inference(avatar_split_clause,[],[f9231,f3325,f280,f252,f1363])). 1.17/1.40 tff(f9239,plain,( 1.17/1.40 ( ! [X19:$int] : (~zero_at1(sK0,$sum(9,X19)) | ~no_zero1(sK1) | ~$less(sK7(sK1,X19),length1(int,t2tb1(sK1))) | zero_at1(sK1,X19) | $less(X19,0)) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f6921,f7975])). 1.17/1.40 tff(f9241,plain,( 1.17/1.40 spl8_784 <=> ! [X19 : $int] : (~zero_at1(sK0,$sum(9,X19)) | $less(X19,0) | zero_at1(sK1,X19) | ~$less(sK7(sK1,X19),length1(int,t2tb1(sK1))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_784])])). 1.17/1.40 tff(f9243,plain,( 1.17/1.40 ~spl8_169 | spl8_784 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9239,f7974,f9241,f1363])). 1.17/1.40 tff(f9244,plain,( 1.17/1.40 ( ! [X12:$int] : (~$less(sK7(sK1,X12),length1(int,t2tb1(sK1))) | ~no_zero1(sK1) | zero_at1(sK1,X12) | $less(X12,0) | ~zero_at1(sK0,$sum(sK2,X12))) )), 1.17/1.40 inference(subsumption_resolution,[],[f6898,f1349])). 1.17/1.40 tff(f9245,plain,( 1.17/1.40 ( ! [X12:$int] : (~zero_at1(sK0,$sum(9,X12)) | ~$less(sK7(sK1,X12),length1(int,t2tb1(sK1))) | ~no_zero1(sK1) | zero_at1(sK1,X12) | $less(X12,0)) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f9244,f7975])). 1.17/1.40 tff(f9246,plain,( 1.17/1.40 ~spl8_169 | spl8_784 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9245,f7974,f9241,f1363])). 1.17/1.40 tff(f9259,plain,( 1.17/1.40 ( ! [X17:$int] : (~zero_at1(sK0,$sum(X17,9)) | ~no_zero1(sK1) | ~$less(X17,length1(int,t2tb1(sK1))) | $less(X17,0)) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f6434,f7975])). 1.17/1.40 tff(f9261,plain,( 1.17/1.40 spl8_786 <=> ! [X17 : $int] : (~zero_at1(sK0,$sum(X17,9)) | $less(X17,0) | ~$less(X17,length1(int,t2tb1(sK1))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_786])])). 1.17/1.40 tff(f9263,plain,( 1.17/1.40 ~spl8_169 | spl8_786 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9259,f7974,f9261,f1363])). 1.17/1.40 tff(f9264,plain,( 1.17/1.40 ( ! [X10:$int] : (~zero_at1(sK0,$sum(X10,9)) | ~$less(X10,length1(int,t2tb1(sK1))) | $less(X10,0) | ~no_zero1(sK1)) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f6403,f7975])). 1.17/1.40 tff(f9265,plain,( 1.17/1.40 ~spl8_169 | spl8_786 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9264,f7974,f9261,f1363])). 1.17/1.40 tff(f9266,plain,( 1.17/1.40 ( ! [X18:$int] : (~zero_at1(sK0,$sum(9,X18)) | ~no_zero1(sK1) | ~$less(X18,length1(int,t2tb1(sK1))) | $less(X18,0)) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f6273,f7975])). 1.17/1.40 tff(f9268,plain,( 1.17/1.40 spl8_788 <=> ! [X18 : $int] : (~zero_at1(sK0,$sum(9,X18)) | $less(X18,0) | ~$less(X18,length1(int,t2tb1(sK1))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_788])])). 1.17/1.40 tff(f9270,plain,( 1.17/1.40 ~spl8_169 | spl8_788 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9266,f7974,f9268,f1363])). 1.17/1.40 tff(f9271,plain,( 1.17/1.40 ( ! [X9:$int] : (~zero_at1(sK0,$sum(9,X9)) | ~$less(X9,length1(int,t2tb1(sK1))) | $less(X9,0) | ~no_zero1(sK1)) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f6252,f7975])). 1.17/1.40 tff(f9272,plain,( 1.17/1.40 ~spl8_169 | spl8_788 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9271,f7974,f9268,f1363])). 1.17/1.40 tff(f9273,plain,( 1.17/1.40 ( ! [X2:$int] : (~zero_at1(sK0,$sum(9,X2)) | ~no_zero1(sK1) | ~$less(X2,length1(int,t2tb1(sK1))) | $less(X2,0)) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f4288,f7975])). 1.17/1.40 tff(f9274,plain,( 1.17/1.40 ~spl8_169 | spl8_788 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9273,f7974,f9268,f1363])). 1.17/1.40 tff(f9275,plain,( 1.17/1.40 ( ! [X13:$int] : (~$less($sum(9,sK6(sK1)),X13) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f7727,f7975])). 1.17/1.40 tff(f9276,plain,( 1.17/1.40 ( ! [X13:$int] : (no_zero1(sK1) | ~$less($sum(9,sK6(sK1)),X13) | ~zero_at1(sK0,X13)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9275,f177])). 1.17/1.40 tff(f9277,plain,( 1.17/1.40 spl8_762 | spl8_168 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9276,f7974,f297,f2113,f9146])). 1.17/1.40 tff(f9278,plain,( 1.17/1.40 ( ! [X7:$int] : (~zero_at1(sK0,X7) | ~$less($sum(sK2,sK6(sK1)),X7) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_491), 1.17/1.40 inference(subsumption_resolution,[],[f7711,f5382])). 1.17/1.40 tff(f9279,plain,( 1.17/1.40 ( ! [X7:$int] : (~zero_at1(sK0,X7) | ~$less($sum(sK2,sK6(sK1)),X7) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_491)), 1.17/1.40 inference(subsumption_resolution,[],[f9278,f4309])). 1.17/1.40 tff(f9280,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(9,sK6(sK1)),X7) | ~zero_at1(sK0,X7) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_491 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9279,f7975])). 1.17/1.40 tff(f9281,plain,( 1.17/1.40 spl8_168 | spl8_762 | spl8_173 | spl8_491 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9280,f7974,f5381,f4308,f9146,f2113])). 1.17/1.40 tff(f9282,plain,( 1.17/1.40 ( ! [X6:$int] : (~zero_at1(sK0,X6) | ~$less($sum(sK2,sK6(sK1)),X6) | $less(sK6(sK1),0) | no_zero1(sK1)) ) | ~spl8_491), 1.17/1.40 inference(subsumption_resolution,[],[f7717,f5382])). 1.17/1.40 tff(f9283,plain,( 1.17/1.40 ( ! [X6:$int] : (~zero_at1(sK0,X6) | ~$less($sum(sK2,sK6(sK1)),X6) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_491)), 1.17/1.40 inference(subsumption_resolution,[],[f9282,f4309])). 1.17/1.40 tff(f9284,plain,( 1.17/1.40 ( ! [X6:$int] : (~$less($sum(9,sK6(sK1)),X6) | ~zero_at1(sK0,X6) | no_zero1(sK1)) ) | (~spl8_173 | ~spl8_491 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9283,f7975])). 1.17/1.40 tff(f9285,plain,( 1.17/1.40 spl8_168 | spl8_762 | spl8_173 | spl8_491 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9284,f7974,f5381,f4308,f9146,f2113])). 1.17/1.40 tff(f9286,plain,( 1.17/1.40 ( ! [X13:$int] : (~$less($sum(9,sK6(sK1)),X13) | $less($sum(sK6(tb2t1(t2tb1(sK1))),sK2),0) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f7641,f7975])). 1.17/1.40 tff(f9287,plain,( 1.17/1.40 ( ! [X13:$int] : ($less($sum(sK2,sK6(tb2t1(t2tb1(sK1)))),0) | ~$less($sum(9,sK6(sK1)),X13) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) ) | ~spl8_688), 1.17/1.40 inference(forward_demodulation,[],[f9286,f55])). 1.17/1.40 tff(f9288,plain,( 1.17/1.40 ( ! [X13:$int] : (~$less($sum(9,sK6(sK1)),X13) | ~zero_at1(sK0,X13) | no_zero1(tb2t1(t2tb1(sK1)))) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(subsumption_resolution,[],[f9287,f1404])). 1.17/1.40 tff(f9289,plain,( 1.17/1.40 ( ! [X13:$int] : (no_zero1(sK1) | ~$less($sum(9,sK6(sK1)),X13) | ~zero_at1(sK0,X13)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9288,f177])). 1.17/1.40 tff(f9290,plain,( 1.17/1.40 spl8_762 | spl8_168 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9289,f7974,f297,f2113,f9146])). 1.17/1.40 tff(f9291,plain,( 1.17/1.40 ( ! [X9:$int] : (~$less($sum(9,sK6(sK1)),X9) | ~zero_at1(sK0,X9) | no_zero1(tb2t1(t2tb1(sK1)))) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f5056,f7975])). 1.17/1.40 tff(f9292,plain,( 1.17/1.40 ( ! [X9:$int] : (no_zero1(sK1) | ~$less($sum(9,sK6(sK1)),X9) | ~zero_at1(sK0,X9)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9291,f177])). 1.17/1.40 tff(f9293,plain,( 1.17/1.40 spl8_762 | spl8_168 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9292,f7974,f297,f2113,f9146])). 1.17/1.40 tff(f9294,plain,( 1.17/1.40 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173)), 1.17/1.40 inference(subsumption_resolution,[],[f5046,f4309])). 1.17/1.40 tff(f9295,plain,( 1.17/1.40 ( ! [X5:$int] : (~$less($sum(9,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9294,f7975])). 1.17/1.40 tff(f9296,plain,( 1.17/1.40 spl8_168 | spl8_762 | ~spl8_24 | spl8_173 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9295,f7974,f4308,f297,f9146,f2113])). 1.17/1.40 tff(f9297,plain,( 1.17/1.40 ( ! [X3:$int] : (~$less($sum(sK2,sK6(sK1)),X3) | ~zero_at1(sK0,X3) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173)), 1.17/1.40 inference(subsumption_resolution,[],[f5050,f4309])). 1.17/1.40 tff(f9298,plain,( 1.17/1.40 ( ! [X3:$int] : (~$less($sum(9,sK6(sK1)),X3) | ~zero_at1(sK0,X3) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9297,f7975])). 1.17/1.40 tff(f9299,plain,( 1.17/1.40 spl8_168 | spl8_762 | ~spl8_24 | spl8_173 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9298,f7974,f4308,f297,f9146,f2113])). 1.17/1.40 tff(f9300,plain,( 1.17/1.40 ( ! [X5:$int] : (~$less($sum(sK2,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173)), 1.17/1.40 inference(subsumption_resolution,[],[f4807,f4309])). 1.17/1.40 tff(f9301,plain,( 1.17/1.40 ( ! [X5:$int] : (~$less($sum(9,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9300,f7975])). 1.17/1.40 tff(f9302,plain,( 1.17/1.40 spl8_168 | spl8_762 | ~spl8_24 | spl8_173 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9301,f7974,f4308,f297,f9146,f2113])). 1.17/1.40 tff(f9303,plain,( 1.17/1.40 ( ! [X8:$int] : (~$less($sum(sK2,sK6(sK1)),X8) | ~zero_at1(sK0,X8) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173)), 1.17/1.40 inference(subsumption_resolution,[],[f4810,f4309])). 1.17/1.40 tff(f9304,plain,( 1.17/1.40 ( ! [X8:$int] : (~$less($sum(9,sK6(sK1)),X8) | ~zero_at1(sK0,X8) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9303,f7975])). 1.17/1.40 tff(f9305,plain,( 1.17/1.40 spl8_168 | spl8_762 | ~spl8_24 | spl8_173 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9304,f7974,f4308,f297,f9146,f2113])). 1.17/1.40 tff(f9306,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(9,sK6(sK1)),X7) | ~zero_at1(sK0,X7) | no_zero1(tb2t1(t2tb1(sK1)))) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f4998,f7975])). 1.17/1.40 tff(f9307,plain,( 1.17/1.40 ( ! [X7:$int] : (no_zero1(sK1) | ~$less($sum(9,sK6(sK1)),X7) | ~zero_at1(sK0,X7)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9306,f177])). 1.17/1.40 tff(f9308,plain,( 1.17/1.40 spl8_762 | spl8_168 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9307,f7974,f297,f2113,f9146])). 1.17/1.40 tff(f9309,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(9,sK6(sK1)),X7) | no_zero1(sK1) | ~zero_at1(sK0,X7)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f2101,f7975])). 1.17/1.40 tff(f9310,plain,( 1.17/1.40 spl8_168 | spl8_762 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9309,f7974,f297,f9146,f2113])). 1.17/1.40 tff(f9311,plain,( 1.17/1.40 ( ! [X5:$int] : (~$less($sum(9,sK6(sK1)),X5) | ~zero_at1(sK0,X5) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f2121,f7975])). 1.17/1.40 tff(f9312,plain,( 1.17/1.40 spl8_168 | spl8_762 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9311,f7974,f297,f9146,f2113])). 1.17/1.40 tff(f9313,plain,( 1.17/1.40 ( ! [X8:$int] : (~$less($sum(9,sK6(sK1)),X8) | ~zero_at1(sK0,X8) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f2127,f7975])). 1.17/1.40 tff(f9314,plain,( 1.17/1.40 spl8_168 | spl8_762 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9313,f7974,f297,f9146,f2113])). 1.17/1.40 tff(f9315,plain,( 1.17/1.40 ( ! [X10:$int] : (~zero_at1(sK0,X10) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),X10) | $less(sK7(sK1,sK6(sK1)),0) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | ~spl8_573), 1.17/1.40 inference(subsumption_resolution,[],[f7709,f5497])). 1.17/1.40 tff(f9316,plain,( 1.17/1.40 ( ! [X10:$int] : (~zero_at1(sK0,X10) | ~$less($sum(sK2,sK7(sK1,sK6(sK1))),X10) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_571 | ~spl8_573)), 1.17/1.40 inference(subsumption_resolution,[],[f9315,f8241])). 1.17/1.40 tff(f9317,plain,( 1.17/1.40 ( ! [X10:$int] : (~$less($sum(9,sK7(sK1,sK6(sK1))),X10) | ~zero_at1(sK0,X10) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_571 | ~spl8_573 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9316,f7975])). 1.17/1.40 tff(f9318,plain,( 1.17/1.40 spl8_168 | spl8_388 | spl8_760 | spl8_571 | spl8_573 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9317,f7974,f5496,f8240,f9137,f4247,f2113])). 1.17/1.40 tff(f9319,plain,( 1.17/1.40 ( ! [X6:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X6) | ~zero_at1(sK0,X6) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_571)), 1.17/1.40 inference(subsumption_resolution,[],[f5045,f8241])). 1.17/1.40 tff(f9320,plain,( 1.17/1.40 ( ! [X6:$int] : (~$less($sum(9,sK7(sK1,sK6(sK1))),X6) | ~zero_at1(sK0,X6) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_571 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9319,f7975])). 1.17/1.40 tff(f9321,plain,( 1.17/1.40 spl8_168 | spl8_388 | spl8_760 | ~spl8_24 | spl8_571 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9320,f7974,f8240,f297,f9137,f4247,f2113])). 1.17/1.40 tff(f9322,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(sK2,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_571)), 1.17/1.40 inference(subsumption_resolution,[],[f4814,f8241])). 1.17/1.40 tff(f9323,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(9,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_571 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9322,f7975])). 1.17/1.40 tff(f9324,plain,( 1.17/1.40 spl8_168 | spl8_388 | spl8_760 | ~spl8_24 | spl8_571 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9323,f7974,f8240,f297,f9137,f4247,f2113])). 1.17/1.40 tff(f9325,plain,( 1.17/1.40 ( ! [X7:$int] : (~$less($sum(9,sK7(sK1,sK6(sK1))),X7) | ~zero_at1(sK0,X7) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_24 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f4253,f7975])). 1.17/1.40 tff(f9326,plain,( 1.17/1.40 spl8_168 | spl8_388 | spl8_760 | ~spl8_24 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9325,f7974,f297,f9137,f4247,f2113])). 1.17/1.40 tff(f9327,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(9,length1(int,t2tb1(sK0)))) | ~$less(sK2,length1(int,t2tb1(sK1))) | (~spl8_128 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f4213,f7975])). 1.17/1.40 tff(f9328,plain,( 1.17/1.40 ~$less(9,length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(9,length1(int,t2tb1(sK0)))) | (~spl8_128 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9327,f7975])). 1.17/1.40 tff(f9330,plain,( 1.17/1.40 spl8_791 <=> ~zero_at1(sK0,$sum(9,length1(int,t2tb1(sK0))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_791])])). 1.17/1.40 tff(f9333,plain,( 1.17/1.40 spl8_793 <=> ~$less(9,length1(int,t2tb1(sK1)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_793])])). 1.17/1.40 tff(f9335,plain,( 1.17/1.40 ~spl8_791 | ~spl8_793 | ~spl8_128 | ~spl8_170 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9328,f7974,f1366,f1061,f9333,f9330])). 1.17/1.40 tff(f9336,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(9,length1(int,t2tb1(sK0)))) | ~$less($sum(1,sK2),length1(int,t2tb1(sK1))) | (~spl8_130 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f4202,f7975])). 1.17/1.40 tff(f9337,plain,( 1.17/1.40 ~$less($sum(1,9),length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(9,length1(int,t2tb1(sK0)))) | (~spl8_130 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9336,f7975])). 1.17/1.40 tff(f9338,plain,( 1.17/1.40 ~$less(10,length1(int,t2tb1(sK1))) | ~zero_at1(sK0,$sum(9,length1(int,t2tb1(sK0)))) | (~spl8_130 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f9337])). 1.17/1.40 tff(f9340,plain,( 1.17/1.40 spl8_795 <=> ~$less(10,length1(int,t2tb1(sK1)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_795])])). 1.17/1.40 tff(f9342,plain,( 1.17/1.40 ~spl8_791 | ~spl8_795 | ~spl8_130 | ~spl8_170 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9338,f7974,f1366,f1068,f9340,f9330])). 1.17/1.40 tff(f9343,plain,( 1.17/1.40 length1(int,t2tb1(sK1)) = 0 | (~spl8_0 | ~spl8_170)), 1.17/1.40 inference(subsumption_resolution,[],[f4197,f1046])). 1.17/1.40 tff(f9344,plain,( 1.17/1.40 spl8_382 | ~spl8_0 | ~spl8_170), 1.17/1.40 inference(avatar_split_clause,[],[f9343,f1366,f1045,f4223])). 1.17/1.40 tff(f9345,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(9,sK6(sK1))) | no_zero1(tb2t1(t2tb1(sK1))) | (~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f4241,f7975])). 1.17/1.40 tff(f9346,plain,( 1.17/1.40 no_zero1(sK1) | ~zero_at1(sK0,$sum(9,sK6(sK1))) | (~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9345,f177])). 1.17/1.40 tff(f9348,plain,( 1.17/1.40 spl8_797 <=> ~zero_at1(sK0,$sum(9,sK6(sK1)))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_797])])). 1.17/1.40 tff(f9350,plain,( 1.17/1.40 ~spl8_797 | spl8_168 | ~spl8_170 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9346,f7974,f1366,f2113,f9348])). 1.17/1.40 tff(f9351,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(sK2,sK6(sK1))) | no_zero1(sK1) | (~spl8_170 | ~spl8_173)), 1.17/1.40 inference(subsumption_resolution,[],[f4193,f4309])). 1.17/1.40 tff(f9352,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(9,sK6(sK1))) | no_zero1(sK1) | (~spl8_170 | ~spl8_173 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9351,f7975])). 1.17/1.40 tff(f9353,plain,( 1.17/1.40 spl8_168 | ~spl8_797 | ~spl8_170 | spl8_173 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9352,f7974,f4308,f1366,f9348,f2113])). 1.17/1.40 tff(f9354,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(length1(int,t2tb1(sK0)),$uminus(sK2))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170)), 1.17/1.40 inference(forward_demodulation,[],[f4191,f1234])). 1.17/1.40 tff(f9355,plain,( 1.17/1.40 ~zero_at1(sK0,$sum($uminus(sK2),length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170)), 1.17/1.40 inference(forward_demodulation,[],[f9354,f55])). 1.17/1.40 tff(f9356,plain,( 1.17/1.40 ~zero_at1(sK0,$sum($uminus(9),length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9355,f7975])). 1.17/1.40 tff(f9357,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f9356])). 1.17/1.40 tff(f9358,plain,( 1.17/1.40 $less($sum($uminus(9),length1(int,t2tb1(sK1))),0) | ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9357,f7975])). 1.17/1.40 tff(f9359,plain,( 1.17/1.40 $less(length1(int,t2tb1(sK1)),$uminus(-9)) | ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f9358])). 1.17/1.40 tff(f9360,plain,( 1.17/1.40 $less(length1(int,t2tb1(sK1)),9) | ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f9359])). 1.17/1.40 tff(f9362,plain,( 1.17/1.40 spl8_799 <=> ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0))))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_799])])). 1.17/1.40 tff(f9365,plain,( 1.17/1.40 spl8_800 <=> $less(length1(int,t2tb1(sK1)),9)), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_800])])). 1.17/1.40 tff(f9367,plain,( 1.17/1.40 ~spl8_799 | spl8_800 | ~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9360,f7974,f1366,f483,f280,f9365,f9362])). 1.17/1.40 tff(f9368,plain,( 1.17/1.40 length1(int,t2tb1(sK1)) = 0 | (~spl8_0 | ~spl8_170)), 1.17/1.40 inference(subsumption_resolution,[],[f9083,f1046])). 1.17/1.40 tff(f9369,plain,( 1.17/1.40 spl8_382 | ~spl8_0 | ~spl8_170), 1.17/1.40 inference(avatar_split_clause,[],[f9368,f1366,f1045,f4223])). 1.17/1.40 tff(f9370,plain,( 1.17/1.40 ~zero_at1(sK0,$sum($uminus(9),length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f4227,f7975])). 1.17/1.40 tff(f9371,plain,( 1.17/1.40 ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | $less($sum($uminus(sK2),length1(int,t2tb1(sK1))),0) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f9370])). 1.17/1.40 tff(f9372,plain,( 1.17/1.40 $less($sum($uminus(9),length1(int,t2tb1(sK1))),0) | ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f9371,f7975])). 1.17/1.40 tff(f9373,plain,( 1.17/1.40 $less(length1(int,t2tb1(sK1)),$uminus(-9)) | ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f9372])). 1.17/1.40 tff(f9374,plain,( 1.17/1.40 $less(length1(int,t2tb1(sK1)),9) | ~zero_at1(sK0,$sum(-9,length1(int,t2tb1(sK0)))) | (~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688)), 1.17/1.40 inference(evaluation,[],[f9373])). 1.17/1.40 tff(f9375,plain,( 1.17/1.40 ~spl8_799 | spl8_800 | ~spl8_18 | ~spl8_48 | ~spl8_170 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9374,f7974,f1366,f483,f280,f9365,f9362])). 1.17/1.40 tff(f9380,plain,( 1.17/1.40 ( ! [X0:$int] : (~zero_at1(sK0,$sum(9,X0)) | $less(X0,0) | ~$less(X0,sK6(sK1)) | no_zero1(sK1)) ) | (~spl8_170 | ~spl8_688)), 1.17/1.40 inference(forward_demodulation,[],[f4183,f7975])). 1.17/1.40 tff(f9382,plain,( 1.17/1.40 spl8_802 <=> ! [X0 : $int] : (~zero_at1(sK0,$sum(9,X0)) | ~$less(X0,sK6(sK1)) | $less(X0,0))), 1.17/1.40 introduced(avatar_definition,[new_symbols(naming,[spl8_802])])). 1.17/1.40 tff(f9384,plain,( 1.17/1.40 spl8_168 | spl8_802 | ~spl8_170 | ~spl8_688), 1.17/1.40 inference(avatar_split_clause,[],[f9380,f7974,f1366,f9382,f2113])). 1.17/1.40 tff(f9386,plain,( 1.17/1.40 $false), 1.17/1.40 inference(avatar_sat_refutation,[],[f250,f257,f261,f265,f269,f273,f274,f278,f282,f286,f299,f300,f304,f310,f317,f336,f351,f358,f373,f374,f453,f461,f463,f481,f488,f492,f510,f511,f512,f513,f514,f546,f564,f565,f566,f567,f583,f587,f642,f646,f672,f737,f773,f774,f778,f802,f820,f824,f828,f832,f836,f841,f845,f919,f928,f940,f948,f955,f965,f969,f973,f974,f978,f982,f986,f1015,f1023,f1031,f1038,f1043,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1063,f1065,f1070,f1077,f1082,f1085,f1096,f1097,f1102,f1104,f1105,f1108,f1127,f1137,f1153,f1163,f1173,f1189,f1193,f1197,f1203,f1207,f1210,f1246,f1279,f1309,f1319,f1324,f1328,f1332,f1333,f1368,f1433,f1458,f1462,f1508,f1565,f1566,f1644,f1648,f1774,f1775,f1874,f1878,f1882,f1887,f1891,f1895,f1949,f1999,f2003,f2068,f2080,f2089,f2098,f2110,f2115,f2116,f2117,f2118,f2119,f2120,f2122,f2124,f2126,f2128,f2130,f2133,f2135,f2137,f2139,f2141,f2144,f2146,f2275,f2517,f2518,f2529,f2538,f2590,f2594,f2598,f2603,f2604,f2608,f2615,f2616,f2629,f2630,f2634,f2645,f2651,f2667,f2671,f2685,f2696,f2710,f2733,f2743,f2756,f2769,f2770,f2809,f2878,f2927,f2931,f2935,f2940,f2944,f2948,f2949,f2953,f2959,f2966,f2970,f2974,f2978,f2980,f2993,f3062,f3069,f3126,f3130,f3204,f3205,f3255,f3259,f3323,f3330,f3334,f3338,f3341,f3344,f3348,f3351,f3380,f3389,f3445,f3462,f3469,f3476,f3477,f3536,f3578,f3736,f3737,f3741,f3820,f3826,f3845,f3846,f3906,f3923,f3930,f3964,f4011,f4017,f4024,f4032,f4038,f4046,f4051,f4059,f4064,f4070,f4076,f4082,f4085,f4089,f4092,f4095,f4098,f4101,f4103,f4145,f4172,f4212,f4219,f4225,f4239,f4252,f4258,f4268,f4275,f4282,f4293,f4298,f4303,f4310,f4313,f4320,f4326,f4332,f4336,f4344,f4345,f4346,f4347,f4348,f4349,f4354,f4362,f4367,f4372,f4377,f4382,f4386,f4397,f4401,f4405,f4410,f4414,f4417,f4420,f4427,f4430,f4431,f4435,f4439,f4440,f4444,f4448,f4452,f4458,f4462,f4472,f4476,f4481,f4482,f4489,f4493,f4497,f4504,f4505,f4509,f4513,f4523,f4524,f4531,f4532,f4539,f4540,f4541,f4542,f4543,f4556,f4557,f4563,f4569,f4573,f4589,f4593,f4597,f4601,f4605,f4606,f4610,f4614,f4618,f4622,f4623,f4627,f4631,f4636,f4644,f4645,f4649,f4651,f4655,f4656,f4660,f4661,f4663,f4664,f4665,f4669,f4671,f4677,f4682,f4686,f4690,f4694,f4698,f4703,f4708,f4710,f4711,f4712,f4720,f4724,f4725,f4726,f4727,f4729,f4731,f4732,f4734,f4736,f4737,f4740,f4743,f4746,f4749,f4751,f4753,f4773,f4778,f4783,f4785,f4787,f4789,f4791,f4793,f4910,f4914,f4915,f4916,f4917,f4918,f4919,f4920,f4924,f4925,f4926,f4927,f4928,f4929,f4930,f4931,f4932,f4933,f4934,f4936,f4937,f4938,f4940,f4941,f4948,f4952,f4956,f4957,f4961,f4965,f4966,f4967,f4968,f4969,f4970,f4971,f4972,f4973,f4974,f4975,f4976,f4977,f4978,f4979,f4980,f4981,f4983,f4984,f4987,f4988,f4989,f4990,f4991,f4992,f4993,f4994,f4995,f4996,f5000,f5001,f5002,f5232,f5276,f5277,f5281,f5300,f5301,f5307,f5316,f5320,f5386,f5390,f5402,f5403,f5409,f5454,f5455,f5459,f5483,f5498,f5502,f5524,f5525,f5531,f5633,f5653,f5696,f5700,f5858,f5899,f5936,f6032,f6039,f6045,f6050,f6054,f6057,f6061,f6066,f6069,f6074,f6322,f6329,f6335,f6340,f6344,f6347,f6351,f6356,f6359,f6364,f6468,f6512,f6516,f6520,f6521,f6528,f6535,f6662,f6699,f6785,f6789,f7071,f7072,f7153,f7157,f7387,f7388,f7595,f7599,f7966,f7979,f7980,f8184,f8188,f8193,f8197,f8201,f8205,f8209,f8210,f8214,f8215,f8222,f8226,f8230,f8234,f8238,f8242,f8246,f8250,f8254,f8258,f8271,f8272,f8276,f8379,f8754,f8759,f8764,f8769,f8775,f8975,f8985,f8989,f8996,f9082,f9086,f9091,f9099,f9100,f9105,f9112,f9113,f9118,f9139,f9148,f9154,f9160,f9166,f9168,f9174,f9177,f9183,f9189,f9195,f9201,f9207,f9213,f9219,f9223,f9226,f9229,f9232,f9243,f9246,f9263,f9265,f9270,f9272,f9274,f9277,f9281,f9285,f9290,f9293,f9296,f9299,f9302,f9305,f9308,f9310,f9312,f9314,f9318,f9321,f9324,f9326,f9335,f9342,f9344,f9350,f9353,f9367,f9369,f9375,f9384])). 1.17/1.40 % SZS output end Proof for theBenchmark 1.17/1.40 % ------------------------------ 1.17/1.40 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.17/1.40 % Termination reason: Refutation 1.17/1.40 1.17/1.40 % Memory used [KB]: 9594 1.17/1.40 % Time elapsed: 0.578 s 1.17/1.40 % ------------------------------ 1.17/1.40 % ------------------------------ 1.17/1.40 % Success in time 1.149 s 1.17/1.40 EOF