0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n134.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:08:39 CDT 2018 0.03/0.23 % CPUTime : 0.06/0.27 % 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 0.57/0.76 % Time limit reached! 0.57/0.76 % ------------------------------ 0.57/0.76 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.57/0.76 % Termination reason: Time limit 0.57/0.76 % Termination phase: Saturation 0.57/0.76 0.57/0.76 % Memory used [KB]: 7036 0.57/0.76 % Time elapsed: 0.500 s 0.57/0.76 % ------------------------------ 0.57/0.76 % ------------------------------ 0.58/0.80 % 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 0.95/1.17 % Refutation found. Thanks to Tanya! 0.95/1.17 % SZS status Theorem for theBenchmark 0.95/1.17 % SZS output start Proof for theBenchmark 0.95/1.17 tff(type_def_5, type, uni: $tType). 0.95/1.17 tff(type_def_6, type, ty: $tType). 0.95/1.17 tff(type_def_7, type, bool: $tType). 0.95/1.17 tff(type_def_8, type, tuple0: $tType). 0.95/1.17 tff(type_def_9, type, a: $tType). 0.95/1.17 tff(type_def_10, type, tree_int: $tType). 0.95/1.17 tff(type_def_11, type, list_int: $tType). 0.95/1.17 tff(type_def_12, type, tree_a1: $tType). 0.95/1.17 tff(func_def_0, type, witness: ty > uni). 0.95/1.17 tff(func_def_1, type, int: ty). 0.95/1.17 tff(func_def_2, type, real: ty). 0.95/1.17 tff(func_def_3, type, bool1: ty). 0.95/1.17 tff(func_def_4, type, true: bool). 0.95/1.17 tff(func_def_5, type, false: bool). 0.95/1.17 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 0.95/1.17 tff(func_def_7, type, tuple01: ty). 0.95/1.17 tff(func_def_8, type, tuple02: tuple0). 0.95/1.17 tff(func_def_9, type, qtmark: ty). 0.95/1.17 tff(func_def_10, type, list: ty > ty). 0.95/1.17 tff(func_def_11, type, nil: ty > uni). 0.95/1.17 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 0.95/1.17 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 0.95/1.17 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 0.95/1.17 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 0.95/1.17 tff(func_def_16, type, infix_plpl: (ty * uni * uni) > uni). 0.95/1.17 tff(func_def_17, type, length: (ty * uni) > $int). 0.95/1.17 tff(func_def_18, type, tree: ty > ty). 0.95/1.17 tff(func_def_19, type, leaf: (ty * uni) > uni). 0.95/1.17 tff(func_def_20, type, node: (ty * uni * uni) > uni). 0.95/1.17 tff(func_def_21, type, match_tree: (ty * ty * uni * uni * uni) > uni). 0.95/1.17 tff(func_def_22, type, leaf_proj_1: (ty * uni) > uni). 0.95/1.17 tff(func_def_23, type, node_proj_1: (ty * uni) > uni). 0.95/1.17 tff(func_def_24, type, node_proj_2: (ty * uni) > uni). 0.95/1.17 tff(func_def_25, type, labels: (ty * uni) > uni). 0.95/1.17 tff(func_def_26, type, ref: ty > ty). 0.95/1.17 tff(func_def_27, type, mk_ref: (ty * uni) > uni). 0.95/1.17 tff(func_def_28, type, contents: (ty * uni) > uni). 0.95/1.17 tff(func_def_29, type, a1: ty). 0.95/1.17 tff(func_def_30, type, t2tb: tree_int > uni). 0.95/1.17 tff(func_def_31, type, tb2t: uni > tree_int). 0.95/1.17 tff(func_def_32, type, t2tb1: list_int > uni). 0.95/1.17 tff(func_def_33, type, tb2t1: uni > list_int). 0.95/1.17 tff(func_def_34, type, t2tb2: tree_a1 > uni). 0.95/1.17 tff(func_def_35, type, tb2t2: uni > tree_a1). 0.95/1.17 tff(func_def_36, type, t2tb3: $int > uni). 0.95/1.17 tff(func_def_37, type, tb2t3: uni > $int). 0.95/1.17 tff(func_def_43, type, sK0: $int). 0.95/1.17 tff(func_def_44, type, sK1: tree_a1). 0.95/1.17 tff(func_def_45, type, sK2: tree_a1). 0.95/1.17 tff(func_def_46, type, sK3: $int). 0.95/1.17 tff(func_def_47, type, sK4: tree_int). 0.95/1.17 tff(func_def_48, type, sK5: $int). 0.95/1.17 tff(func_def_49, type, sK6: tree_int). 0.95/1.17 tff(func_def_50, type, sK7: $int). 0.95/1.17 tff(func_def_51, type, sK8: (ty * uni) > uni). 0.95/1.17 tff(func_def_52, type, sK9: (ty * uni) > uni). 0.95/1.17 tff(func_def_53, type, sK10: (ty * uni) > uni). 0.95/1.17 tff(func_def_54, type, sK11: (ty * uni * uni) > uni). 0.95/1.17 tff(func_def_55, type, sK12: (ty * uni * uni) > uni). 0.95/1.17 tff(func_def_56, type, sK13: (ty * uni * uni) > uni). 0.95/1.17 tff(func_def_57, type, sK14: (ty * ty * uni * uni) > uni). 0.95/1.17 tff(func_def_58, type, sK15: (ty * ty * uni * uni) > uni). 0.95/1.17 tff(func_def_59, type, sK16: (ty * ty * uni * uni) > uni). 0.95/1.17 tff(func_def_60, type, sK17: (ty * ty * uni * uni) > uni). 0.95/1.17 tff(func_def_61, type, sK18: (ty * ty * uni * uni) > uni). 0.95/1.17 tff(func_def_62, type, sK19: (ty * ty * uni * uni) > uni). 0.95/1.17 tff(pred_def_1, type, sort: (ty * uni) > $o). 0.95/1.17 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 0.95/1.17 tff(pred_def_3, type, distinct: (ty * uni) > $o). 0.95/1.17 tff(pred_def_4, type, same_shape: (ty * ty * uni * uni) > $o). 0.95/1.17 tff(f2,axiom,( 0.95/1.17 ! [X0 : ty] : (! [X3 : uni,X4 : uni] : length(X0,cons(X0,X3,X4)) = $sum(1,length(X0,X4)) & length(X0,nil(X0)) = 0)), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 0.95/1.17 tff(f6,axiom,( 0.95/1.17 ! [X0 : ty,X3 : uni] : sort(X0,cons_proj_1(X0,X3))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_sort)). 0.95/1.17 tff(f9,axiom,( 0.95/1.17 ! [X0 : ty,X3 : uni,X8 : uni,X11 : uni] : (mem(X0,X3,labels(X0,node(X0,X8,X11))) <=> (mem(X0,X3,labels(X0,X8)) | mem(X0,X3,labels(X0,X11))))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',labels_Node)). 0.95/1.17 tff(f14,axiom,( 0.95/1.17 ! [X0 : ty,X2 : uni] : (infix_plpl(X0,nil(X0),X2) = X2 & ! [X3 : uni,X4 : uni] : cons(X0,X3,infix_plpl(X0,X4,X2)) = infix_plpl(X0,cons(X0,X3,X4),X2))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_plpl_def)). 0.95/1.17 tff(f18,axiom,( 0.95/1.17 ! [X14 : $int] : tb2t3(t2tb3(X14)) = X14), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL3)). 0.95/1.17 tff(f20,axiom,( 0.95/1.17 ! [X12 : uni] : t2tb3(tb2t3(X12)) = X12), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3)). 0.95/1.17 tff(f22,axiom,( 0.95/1.17 ! [X0 : ty] : (! [X3 : uni,X4 : uni] : infix_plpl(X0,labels(X0,X3),labels(X0,X4)) = labels(X0,node(X0,X3,X4)) & ! [X3 : uni] : cons(X0,X3,nil(X0)) = labels(X0,leaf(X0,X3)))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',labels_def)). 0.95/1.17 tff(f23,axiom,( 0.95/1.17 ! [X0 : ty,X8 : uni] : $lesseq(0,length(X0,X8))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative)). 0.95/1.17 tff(f24,axiom,( 0.95/1.17 ! [X0 : ty,X3 : uni] : (sort(X0,X3) => (! [X4 : uni,X5 : uni] : (sort(X0,X4) => ((mem(X0,X3,X5) | X3 = X4) <=> mem(X0,X3,cons(X0,X4,X5)))) & ~mem(X0,X3,nil(X0))))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def)). 0.95/1.17 tff(f36,axiom,( 0.95/1.17 true != false), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 0.95/1.17 tff(f41,axiom,( 0.95/1.17 ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,X1) => (distinct(X0,X2) => (! [X3 : uni] : (sort(X0,X3) => (mem(X0,X3,X1) => ~mem(X0,X3,X2))) => distinct(X0,infix_plpl(X0,X1,X2)))))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_append)). 0.95/1.17 tff(f42,axiom,( 0.95/1.17 ! [X0 : ty,X9 : uni] : (cons(X0,cons_proj_1(X0,X9),cons_proj_2(X0,X9)) = X9 | nil(X0) = X9)), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',list_inversion)). 0.95/1.17 tff(f44,conjecture,( 0.95/1.17 ! [X11 : $int,X3 : tree_a1,X4 : tree_a1,X20 : $int,X21 : tree_int] : ((same_shape(int,a1,t2tb2(X4),t2tb(X21)) & distinct(int,labels(int,t2tb(X21))) & $lesseq(X11,X20) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X21))) => ($less(X11,X5) & $lesseq(X5,X20)))) => ! [X22 : $int,X23 : tree_int] : ((same_shape(int,a1,t2tb2(X3),t2tb(X23)) & $lesseq(X20,X22) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X23))) => ($lesseq(X5,X22) & $less(X20,X5))) & distinct(int,labels(int,t2tb(X23)))) => (! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,node(int,t2tb(X23),t2tb(X21)))) => ($less(X11,X5) & $lesseq(X5,X22))) & $lesseq(X11,X22) & distinct(int,labels(int,node(int,t2tb(X23),t2tb(X21)))) & same_shape(int,a1,node(a1,t2tb2(X3),t2tb2(X4)),node(int,t2tb(X23),t2tb(X21))))))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_relabel)). 0.95/1.17 tff(f45,negated_conjecture,( 0.95/1.17 ~! [X11 : $int,X3 : tree_a1,X4 : tree_a1,X20 : $int,X21 : tree_int] : ((same_shape(int,a1,t2tb2(X4),t2tb(X21)) & distinct(int,labels(int,t2tb(X21))) & $lesseq(X11,X20) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X21))) => ($less(X11,X5) & $lesseq(X5,X20)))) => ! [X22 : $int,X23 : tree_int] : ((same_shape(int,a1,t2tb2(X3),t2tb(X23)) & $lesseq(X20,X22) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X23))) => ($lesseq(X5,X22) & $less(X20,X5))) & distinct(int,labels(int,t2tb(X23)))) => (! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,node(int,t2tb(X23),t2tb(X21)))) => ($less(X11,X5) & $lesseq(X5,X22))) & $lesseq(X11,X22) & distinct(int,labels(int,node(int,t2tb(X23),t2tb(X21)))) & same_shape(int,a1,node(a1,t2tb2(X3),t2tb2(X4)),node(int,t2tb(X23),t2tb(X21))))))), 0.95/1.17 inference(negated_conjecture,[],[f44])). 0.95/1.17 tff(f54,axiom,( 0.95/1.17 ! [X0 : ty,X7 : uni] : (distinct(X0,X7) => (? [X3 : uni] : (sort(X0,X3) & cons(X0,X3,nil(X0)) = X7) | ? [X3 : uni,X8 : uni] : (sort(X0,X3) & ~mem(X0,X3,X8) & distinct(X0,X8) & cons(X0,X3,X8) = X7 & sort(list(X0),X8)) | nil(X0) = X7))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_inversion)). 0.95/1.17 tff(f72,axiom,( 0.95/1.17 ! [X0 : ty,X19 : ty,X1 : uni,X20 : uni,X2 : uni,X22 : uni] : (same_shape(X19,X0,X1,X2) => (same_shape(X19,X0,X20,X22) => same_shape(X19,X0,node(X0,X1,X20),node(X19,X2,X22))))), 0.95/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_shape_Node)). 0.95/1.17 tff(f74,plain,( 0.95/1.17 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f75,plain,( 0.95/1.17 ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f76,plain,( 0.95/1.17 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f78,plain,( 0.95/1.17 ( ! [X0:$int] : ($sum(X0,$uminus(X0)) = 0) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f79,plain,( 0.95/1.17 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f80,plain,( 0.95/1.17 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f81,plain,( 0.95/1.17 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f82,plain,( 0.95/1.17 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f83,plain,( 0.95/1.17 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f91,plain,( 0.95/1.17 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 0.95/1.17 introduced(theory_axiom,[])). 0.95/1.17 tff(f92,plain,( 0.95/1.17 ~! [X11 : $int,X3 : tree_a1,X4 : tree_a1,X20 : $int,X21 : tree_int] : ((same_shape(int,a1,t2tb2(X4),t2tb(X21)) & distinct(int,labels(int,t2tb(X21))) & ~$less(X20,X11) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X21))) => ($less(X11,X5) & ~$less(X20,X5)))) => ! [X22 : $int,X23 : tree_int] : ((same_shape(int,a1,t2tb2(X3),t2tb(X23)) & ~$less(X22,X20) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X23))) => (~$less(X22,X5) & $less(X20,X5))) & distinct(int,labels(int,t2tb(X23)))) => (! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,node(int,t2tb(X23),t2tb(X21)))) => ($less(X11,X5) & ~$less(X22,X5))) & ~$less(X22,X11) & distinct(int,labels(int,node(int,t2tb(X23),t2tb(X21)))) & same_shape(int,a1,node(a1,t2tb2(X3),t2tb2(X4)),node(int,t2tb(X23),t2tb(X21))))))), 0.95/1.17 inference(evaluation,[],[f45])). 0.95/1.17 tff(f93,plain,( 0.95/1.17 ! [X0 : ty,X8 : uni] : ~$less(length(X0,X8),0)), 0.95/1.17 inference(evaluation,[],[f23])). 0.95/1.17 tff(f95,plain,( 0.95/1.17 ~! [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : ((same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ~$less(X3,X0) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X4))) => ($less(X0,X5) & ~$less(X3,X5)))) => ! [X6 : $int,X7 : tree_int] : ((same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X3) & ! [X8 : $int] : (mem(int,t2tb3(X8),labels(int,t2tb(X7))) => (~$less(X6,X8) & $less(X3,X8))) & distinct(int,labels(int,t2tb(X7)))) => (! [X9 : $int] : (mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) => ($less(X0,X9) & ~$less(X6,X9))) & ~$less(X6,X0) & distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))))))), 0.95/1.17 inference(rectify,[],[f92])). 0.95/1.17 tff(f102,plain,( 0.95/1.17 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 0.95/1.17 inference(rectify,[],[f20])). 0.95/1.17 tff(f104,plain,( 0.95/1.17 ! [X0 : $int] : tb2t3(t2tb3(X0)) = X0), 0.95/1.17 inference(rectify,[],[f18])). 0.95/1.17 tff(f109,plain,( 0.95/1.17 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) & length(X0,nil(X0)) = 0)), 0.95/1.17 inference(rectify,[],[f2])). 0.95/1.17 tff(f110,plain,( 0.95/1.17 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : infix_plpl(X0,labels(X0,X1),labels(X0,X2)) = labels(X0,node(X0,X1,X2)) & ! [X3 : uni] : cons(X0,X3,nil(X0)) = labels(X0,leaf(X0,X3)))), 0.95/1.17 inference(rectify,[],[f22])). 0.95/1.17 tff(f112,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : ~$less(length(X0,X1),0)), 0.95/1.17 inference(rectify,[],[f93])). 0.95/1.17 tff(f115,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : sort(X0,cons_proj_1(X0,X1))), 0.95/1.17 inference(rectify,[],[f6])). 0.95/1.17 tff(f124,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : (infix_plpl(X0,nil(X0),X1) = X1 & ! [X2 : uni,X3 : uni] : cons(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,cons(X0,X2,X3),X1))), 0.95/1.17 inference(rectify,[],[f14])). 0.95/1.17 tff(f125,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1)), 0.95/1.17 inference(rectify,[],[f42])). 0.95/1.17 tff(f127,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : (distinct(X0,X1) => (? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) | ? [X3 : uni,X4 : uni] : (sort(X0,X3) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1 & sort(list(X0),X4)) | nil(X0) = X1))), 0.95/1.17 inference(rectify,[],[f54])). 0.95/1.17 tff(f130,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => (! [X2 : uni,X3 : uni] : (sort(X0,X2) => ((mem(X0,X1,X3) | X1 = X2) <=> mem(X0,X1,cons(X0,X2,X3)))) & ~mem(X0,X1,nil(X0))))), 0.95/1.17 inference(rectify,[],[f24])). 0.95/1.17 tff(f154,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (mem(X0,X1,labels(X0,node(X0,X2,X3))) <=> (mem(X0,X1,labels(X0,X2)) | mem(X0,X1,labels(X0,X3))))), 0.95/1.17 inference(rectify,[],[f9])). 0.95/1.17 tff(f160,plain,( 0.95/1.17 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (same_shape(X1,X0,X2,X4) => (same_shape(X1,X0,X3,X5) => same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5))))), 0.95/1.17 inference(rectify,[],[f72])). 0.95/1.17 tff(f161,plain,( 0.95/1.17 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X6 : $int,X7 : tree_int] : ((? [X9 : $int] : ((~$less(X0,X9) | $less(X6,X9)) & mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4))))) | $less(X6,X0) | ~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4)))) & (same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X3) & ! [X8 : $int] : ((~$less(X6,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7)))) & distinct(int,labels(int,t2tb(X7))))) & (same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ~$less(X3,X0) & ! [X5 : $int] : (($less(X0,X5) & ~$less(X3,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4))))))), 0.95/1.17 inference(ennf_transformation,[],[f95])). 0.95/1.17 tff(f162,plain,( 0.95/1.17 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X6 : $int,X7 : tree_int] : ((? [X9 : $int] : ((~$less(X0,X9) | $less(X6,X9)) & mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4))))) | $less(X6,X0) | ~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X3) & ! [X8 : $int] : ((~$less(X6,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7)))) & distinct(int,labels(int,t2tb(X7)))) & same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ~$less(X3,X0) & ! [X5 : $int] : (($less(X0,X5) & ~$less(X3,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4)))))), 0.95/1.17 inference(flattening,[],[f161])). 0.95/1.17 tff(f163,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : ((? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) | ? [X3 : uni,X4 : uni] : (sort(X0,X3) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1 & sort(list(X0),X4)) | nil(X0) = X1) | ~distinct(X0,X1))), 0.95/1.17 inference(ennf_transformation,[],[f127])). 0.95/1.17 tff(f164,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : (? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) | ? [X3 : uni,X4 : uni] : (sort(X0,X3) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1 & sort(list(X0),X4)) | nil(X0) = X1 | ~distinct(X0,X1))), 0.95/1.17 inference(flattening,[],[f163])). 0.95/1.17 tff(f167,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,X3) | X1 = X2) <=> mem(X0,X1,cons(X0,X2,X3))) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 0.95/1.17 inference(ennf_transformation,[],[f130])). 0.95/1.17 tff(f171,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni,X2 : uni] : (((distinct(X0,infix_plpl(X0,X1,X2)) | ? [X3 : uni] : ((mem(X0,X3,X2) & mem(X0,X3,X1)) & sort(X0,X3))) | ~distinct(X0,X2)) | ~distinct(X0,X1))), 0.95/1.17 inference(ennf_transformation,[],[f41])). 0.95/1.17 tff(f172,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | ? [X3 : uni] : (mem(X0,X3,X2) & mem(X0,X3,X1) & sort(X0,X3)) | ~distinct(X0,X2) | ~distinct(X0,X1))), 0.95/1.17 inference(flattening,[],[f171])). 0.95/1.17 tff(f187,plain,( 0.95/1.17 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5)) | ~same_shape(X1,X0,X2,X4))), 0.95/1.17 inference(ennf_transformation,[],[f160])). 0.95/1.17 tff(f188,plain,( 0.95/1.17 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5) | ~same_shape(X1,X0,X2,X4))), 0.95/1.17 inference(flattening,[],[f187])). 0.95/1.17 tff(f189,plain,( 0.95/1.17 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X5 : $int,X6 : tree_int] : ((? [X7 : $int] : ((~$less(X0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4))))) | $less(X5,X0) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4)))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(X6)) & ~$less(X5,X3) & ! [X8 : $int] : ((~$less(X5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) & same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ~$less(X3,X0) & ! [X9 : $int] : (($less(X0,X9) & ~$less(X3,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X4)))))), 0.95/1.17 inference(rectify,[],[f162])). 0.95/1.17 tff(f190,plain,( 0.95/1.17 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X5 : $int,X6 : tree_int] : ((? [X7 : $int] : ((~$less(X0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4))))) | $less(X5,X0) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4)))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(X6)) & ~$less(X5,X3) & ! [X8 : $int] : ((~$less(X5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) & same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ~$less(X3,X0) & ! [X9 : $int] : (($less(X0,X9) & ~$less(X3,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X4))))) => (? [X6 : tree_int,X5 : $int] : ((? [X7 : $int] : ((~$less(sK0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(sK4))))) | $less(X5,sK0) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(sK4)))) | ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(X6),t2tb(sK4)))) & same_shape(int,a1,t2tb2(sK1),t2tb(X6)) & ~$less(X5,sK3) & ! [X8 : $int] : ((~$less(X5,X8) & $less(sK3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) & same_shape(int,a1,t2tb2(sK2),t2tb(sK4)) & distinct(int,labels(int,t2tb(sK4))) & ~$less(sK3,sK0) & ! [X9 : $int] : (($less(sK0,X9) & ~$less(sK3,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))))), 0.95/1.17 introduced(choice_axiom,[])). 0.95/1.17 tff(f191,plain,( 0.95/1.17 ( ! [X4:tree_int,X2:tree_a1,X0:$int,X3:$int,X1:tree_a1] : (? [X5 : $int,X6 : tree_int] : ((? [X7 : $int] : ((~$less(X0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4))))) | $less(X5,X0) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4)))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(X6)) & ~$less(X5,X3) & ! [X8 : $int] : ((~$less(X5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) => ((? [X7 : $int] : ((~$less(X0,X7) | $less(sK5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK6),t2tb(X4))))) | $less(sK5,X0) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(X4)))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(sK6),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(sK6)) & ~$less(sK5,X3) & ! [X8 : $int] : ((~$less(sK5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) & distinct(int,labels(int,t2tb(sK6))))) )), 0.95/1.17 introduced(choice_axiom,[])). 0.95/1.17 tff(f192,plain,( 0.95/1.17 ( ! [X6:tree_int,X4:tree_int,X0:$int,X5:$int] : (? [X7 : $int] : ((~$less(X0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4))))) => ((~$less(X0,sK7) | $less(X5,sK7)) & mem(int,t2tb3(sK7),labels(int,node(int,t2tb(X6),t2tb(X4)))))) )), 0.95/1.17 introduced(choice_axiom,[])). 0.95/1.17 tff(f193,plain,( 0.95/1.17 ((((~$less(sK0,sK7) | $less(sK5,sK7)) & mem(int,t2tb3(sK7),labels(int,node(int,t2tb(sK6),t2tb(sK4))))) | $less(sK5,sK0) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4)))) & same_shape(int,a1,t2tb2(sK1),t2tb(sK6)) & ~$less(sK5,sK3) & ! [X8 : $int] : ((~$less(sK5,X8) & $less(sK3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) & distinct(int,labels(int,t2tb(sK6)))) & same_shape(int,a1,t2tb2(sK2),t2tb(sK4)) & distinct(int,labels(int,t2tb(sK4))) & ~$less(sK3,sK0) & ! [X9 : $int] : (($less(sK0,X9) & ~$less(sK3,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4))))), 0.95/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f189,f192,f191,f190])). 0.95/1.17 tff(f194,plain,( 0.95/1.17 ! [X1 : uni,X0 : ty] : (? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) => (sort(X0,sK8(X0,X1)) & cons(X0,sK8(X0,X1),nil(X0)) = X1))), 0.95/1.17 introduced(choice_axiom,[])). 0.95/1.17 tff(f195,plain,( 0.95/1.17 ! [X1 : uni,X0 : ty] : (? [X3 : uni,X4 : uni] : (sort(X0,X3) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1 & sort(list(X0),X4)) => (sort(X0,sK9(X0,X1)) & ~mem(X0,sK9(X0,X1),sK10(X0,X1)) & distinct(X0,sK10(X0,X1)) & cons(X0,sK9(X0,X1),sK10(X0,X1)) = X1 & sort(list(X0),sK10(X0,X1))))), 0.95/1.17 introduced(choice_axiom,[])). 0.95/1.17 tff(f196,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : ((sort(X0,sK8(X0,X1)) & cons(X0,sK8(X0,X1),nil(X0)) = X1) | (sort(X0,sK9(X0,X1)) & ~mem(X0,sK9(X0,X1),sK10(X0,X1)) & distinct(X0,sK10(X0,X1)) & cons(X0,sK9(X0,X1),sK10(X0,X1)) = X1 & sort(list(X0),sK10(X0,X1))) | nil(X0) = X1 | ~distinct(X0,X1))), 0.95/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f164,f195,f194])). 0.95/1.17 tff(f197,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : ((((mem(X0,X1,X3) | X1 = X2) | ~mem(X0,X1,cons(X0,X2,X3))) & (mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2))) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 0.95/1.17 inference(nnf_transformation,[],[f167])). 0.95/1.17 tff(f198,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,X3) | X1 = X2 | ~mem(X0,X1,cons(X0,X2,X3))) & (mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2))) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 0.95/1.17 inference(flattening,[],[f197])). 0.95/1.17 tff(f200,plain,( 0.95/1.17 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni] : (mem(X0,X3,X2) & mem(X0,X3,X1) & sort(X0,X3)) => (mem(X0,sK11(X0,X1,X2),X2) & mem(X0,sK11(X0,X1,X2),X1) & sort(X0,sK11(X0,X1,X2))))), 0.95/1.17 introduced(choice_axiom,[])). 0.95/1.17 tff(f201,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | (mem(X0,sK11(X0,X1,X2),X2) & mem(X0,sK11(X0,X1,X2),X1) & sort(X0,sK11(X0,X1,X2))) | ~distinct(X0,X2) | ~distinct(X0,X1))), 0.95/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f172,f200])). 0.95/1.17 tff(f210,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,labels(X0,node(X0,X2,X3))) | (~mem(X0,X1,labels(X0,X2)) & ~mem(X0,X1,labels(X0,X3)))) & ((mem(X0,X1,labels(X0,X2)) | mem(X0,X1,labels(X0,X3))) | ~mem(X0,X1,labels(X0,node(X0,X2,X3)))))), 0.95/1.17 inference(nnf_transformation,[],[f154])). 0.95/1.17 tff(f211,plain,( 0.95/1.17 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,labels(X0,node(X0,X2,X3))) | (~mem(X0,X1,labels(X0,X2)) & ~mem(X0,X1,labels(X0,X3)))) & (mem(X0,X1,labels(X0,X2)) | mem(X0,X1,labels(X0,X3)) | ~mem(X0,X1,labels(X0,node(X0,X2,X3)))))), 0.95/1.17 inference(flattening,[],[f210])). 0.95/1.17 tff(f212,plain,( 0.95/1.17 ( ! [X9:$int] : (~mem(int,t2tb3(X9),labels(int,t2tb(sK4))) | ~$less(sK3,X9)) )), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f213,plain,( 0.95/1.17 ( ! [X9:$int] : (~mem(int,t2tb3(X9),labels(int,t2tb(sK4))) | $less(sK0,X9)) )), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f214,plain,( 0.95/1.17 ~$less(sK3,sK0)), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f215,plain,( 0.95/1.17 distinct(int,labels(int,t2tb(sK4)))), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f216,plain,( 0.95/1.17 same_shape(int,a1,t2tb2(sK2),t2tb(sK4))), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f217,plain,( 0.95/1.17 distinct(int,labels(int,t2tb(sK6)))), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f218,plain,( 0.95/1.17 ( ! [X8:$int] : (~mem(int,t2tb3(X8),labels(int,t2tb(sK6))) | $less(sK3,X8)) )), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f219,plain,( 0.95/1.17 ( ! [X8:$int] : (~mem(int,t2tb3(X8),labels(int,t2tb(sK6))) | ~$less(sK5,X8)) )), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f220,plain,( 0.95/1.17 ~$less(sK5,sK3)), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f221,plain,( 0.95/1.17 same_shape(int,a1,t2tb2(sK1),t2tb(sK6))), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f222,plain,( 0.95/1.17 mem(int,t2tb3(sK7),labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | $less(sK5,sK0) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4)))), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f223,plain,( 0.95/1.17 ~$less(sK0,sK7) | $less(sK5,sK7) | $less(sK5,sK0) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4)))), 0.95/1.17 inference(cnf_transformation,[],[f193])). 0.95/1.17 tff(f224,plain,( 0.95/1.17 true != false), 0.95/1.17 inference(cnf_transformation,[],[f36])). 0.95/1.17 tff(f233,plain,( 0.95/1.17 ( ! [X0:uni] : (t2tb3(tb2t3(X0)) = X0) )), 0.95/1.17 inference(cnf_transformation,[],[f102])). 0.95/1.17 tff(f235,plain,( 0.95/1.17 ( ! [X0:$int] : (tb2t3(t2tb3(X0)) = X0) )), 0.95/1.17 inference(cnf_transformation,[],[f104])). 0.95/1.17 tff(f241,plain,( 0.95/1.17 ( ! [X0:ty] : (length(X0,nil(X0)) = 0) )), 0.95/1.17 inference(cnf_transformation,[],[f109])). 0.95/1.17 tff(f242,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2))) )), 0.95/1.17 inference(cnf_transformation,[],[f109])). 0.95/1.17 tff(f244,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X1:uni] : (infix_plpl(X0,labels(X0,X1),labels(X0,X2)) = labels(X0,node(X0,X1,X2))) )), 0.95/1.17 inference(cnf_transformation,[],[f110])). 0.95/1.17 tff(f246,plain,( 0.95/1.17 ( ! [X0:ty,X1:uni] : (~$less(length(X0,X1),0)) )), 0.95/1.17 inference(cnf_transformation,[],[f112])). 0.95/1.17 tff(f249,plain,( 0.95/1.17 ( ! [X0:ty,X1:uni] : (sort(X0,cons_proj_1(X0,X1))) )), 0.95/1.17 inference(cnf_transformation,[],[f115])). 0.95/1.17 tff(f259,plain,( 0.95/1.17 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 0.95/1.17 inference(cnf_transformation,[],[f124])). 0.95/1.17 tff(f260,plain,( 0.95/1.17 ( ! [X0:ty,X1:uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1) )), 0.95/1.17 inference(cnf_transformation,[],[f125])). 0.95/1.17 tff(f264,plain,( 0.95/1.17 ( ! [X0:ty,X1:uni] : (cons(X0,sK8(X0,X1),nil(X0)) = X1 | distinct(X0,sK10(X0,X1)) | nil(X0) = X1 | ~distinct(X0,X1)) )), 0.95/1.17 inference(cnf_transformation,[],[f196])). 0.95/1.17 tff(f269,plain,( 0.95/1.17 ( ! [X0:ty,X1:uni] : (distinct(X0,sK10(X0,X1)) | sort(X0,sK8(X0,X1)) | nil(X0) = X1 | ~distinct(X0,X1)) )), 0.95/1.17 inference(cnf_transformation,[],[f196])). 0.95/1.17 tff(f275,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 0.95/1.17 inference(cnf_transformation,[],[f198])). 0.95/1.17 tff(f291,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,sK11(X0,X1,X2),X1) | distinct(X0,infix_plpl(X0,X1,X2)) | ~distinct(X0,X2) | ~distinct(X0,X1)) )), 0.95/1.17 inference(cnf_transformation,[],[f201])). 0.95/1.17 tff(f292,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,sK11(X0,X1,X2),X2) | distinct(X0,infix_plpl(X0,X1,X2)) | ~distinct(X0,X2) | ~distinct(X0,X1)) )), 0.95/1.17 inference(cnf_transformation,[],[f201])). 0.95/1.17 tff(f342,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X1,labels(X0,node(X0,X2,X3))) | mem(X0,X1,labels(X0,X3)) | mem(X0,X1,labels(X0,X2))) )), 0.95/1.17 inference(cnf_transformation,[],[f211])). 0.95/1.17 tff(f350,plain,( 0.95/1.17 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5) | ~same_shape(X1,X0,X2,X4)) )), 0.95/1.17 inference(cnf_transformation,[],[f188])). 0.95/1.17 tff(f352,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X2)) )), 0.95/1.17 inference(equality_resolution,[],[f275])). 0.95/1.17 tff(f356,plain,( 0.95/1.17 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2)) )), 0.95/1.17 inference(duplicate_literal_removal,[],[f352])). 0.95/1.17 tff(f357,plain,( 0.95/1.17 ~$less(sK0,sK7) | $less(sK5,sK7) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4)))), 0.95/1.17 inference(subsumption_resolution,[],[f223,f80])). 0.95/1.17 tff(f359,plain,( 0.95/1.17 spl20_1 <=> ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_1])])). 0.95/1.17 tff(f360,plain,( 0.95/1.17 ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4))) | ~spl20_1), 0.95/1.17 inference(avatar_component_clause,[],[f359])). 0.95/1.17 tff(f362,plain,( 0.95/1.17 spl20_3 <=> ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_3])])). 0.95/1.17 tff(f363,plain,( 0.95/1.17 ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | ~spl20_3), 0.95/1.17 inference(avatar_component_clause,[],[f362])). 0.95/1.17 tff(f365,plain,( 0.95/1.17 spl20_4 <=> $less(sK5,sK7)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_4])])). 0.95/1.17 tff(f366,plain,( 0.95/1.17 $less(sK5,sK7) | ~spl20_4), 0.95/1.17 inference(avatar_component_clause,[],[f365])). 0.95/1.17 tff(f368,plain,( 0.95/1.17 spl20_7 <=> ~$less(sK0,sK7)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_7])])). 0.95/1.17 tff(f369,plain,( 0.95/1.17 ~$less(sK0,sK7) | ~spl20_7), 0.95/1.17 inference(avatar_component_clause,[],[f368])). 0.95/1.17 tff(f370,plain,( 0.95/1.17 ~spl20_1 | ~spl20_3 | spl20_4 | ~spl20_7), 0.95/1.17 inference(avatar_split_clause,[],[f357,f368,f365,f362,f359])). 0.95/1.17 tff(f372,plain,( 0.95/1.17 spl20_8 <=> $less(sK5,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_8])])). 0.95/1.17 tff(f375,plain,( 0.95/1.17 spl20_10 <=> mem(int,t2tb3(sK7),labels(int,node(int,t2tb(sK6),t2tb(sK4))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_10])])). 0.95/1.17 tff(f376,plain,( 0.95/1.17 mem(int,t2tb3(sK7),labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | ~spl20_10), 0.95/1.17 inference(avatar_component_clause,[],[f375])). 0.95/1.17 tff(f377,plain,( 0.95/1.17 ~spl20_1 | ~spl20_3 | spl20_8 | spl20_10), 0.95/1.17 inference(avatar_split_clause,[],[f222,f375,f372,f362,f359])). 0.95/1.17 tff(f379,plain,( 0.95/1.17 spl20_12 <=> same_shape(int,a1,t2tb2(sK1),t2tb(sK6))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_12])])). 0.95/1.17 tff(f380,plain,( 0.95/1.17 same_shape(int,a1,t2tb2(sK1),t2tb(sK6)) | ~spl20_12), 0.95/1.17 inference(avatar_component_clause,[],[f379])). 0.95/1.17 tff(f381,plain,( 0.95/1.17 spl20_12), 0.95/1.17 inference(avatar_split_clause,[],[f221,f379])). 0.95/1.17 tff(f383,plain,( 0.95/1.17 spl20_15 <=> ~$less(sK5,sK3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_15])])). 0.95/1.17 tff(f384,plain,( 0.95/1.17 ~$less(sK5,sK3) | ~spl20_15), 0.95/1.17 inference(avatar_component_clause,[],[f383])). 0.95/1.17 tff(f385,plain,( 0.95/1.17 ~spl20_15), 0.95/1.17 inference(avatar_split_clause,[],[f220,f383])). 0.95/1.17 tff(f387,plain,( 0.95/1.17 spl20_16 <=> distinct(int,labels(int,t2tb(sK6)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_16])])). 0.95/1.17 tff(f388,plain,( 0.95/1.17 distinct(int,labels(int,t2tb(sK6))) | ~spl20_16), 0.95/1.17 inference(avatar_component_clause,[],[f387])). 0.95/1.17 tff(f389,plain,( 0.95/1.17 spl20_16), 0.95/1.17 inference(avatar_split_clause,[],[f217,f387])). 0.95/1.17 tff(f391,plain,( 0.95/1.17 spl20_18 <=> same_shape(int,a1,t2tb2(sK2),t2tb(sK4))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_18])])). 0.95/1.17 tff(f392,plain,( 0.95/1.17 same_shape(int,a1,t2tb2(sK2),t2tb(sK4)) | ~spl20_18), 0.95/1.17 inference(avatar_component_clause,[],[f391])). 0.95/1.17 tff(f393,plain,( 0.95/1.17 spl20_18), 0.95/1.17 inference(avatar_split_clause,[],[f216,f391])). 0.95/1.17 tff(f395,plain,( 0.95/1.17 spl20_20 <=> distinct(int,labels(int,t2tb(sK4)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_20])])). 0.95/1.17 tff(f396,plain,( 0.95/1.17 distinct(int,labels(int,t2tb(sK4))) | ~spl20_20), 0.95/1.17 inference(avatar_component_clause,[],[f395])). 0.95/1.17 tff(f397,plain,( 0.95/1.17 spl20_20), 0.95/1.17 inference(avatar_split_clause,[],[f215,f395])). 0.95/1.17 tff(f399,plain,( 0.95/1.17 spl20_23 <=> ~$less(sK3,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_23])])). 0.95/1.17 tff(f400,plain,( 0.95/1.17 ~$less(sK3,sK0) | ~spl20_23), 0.95/1.17 inference(avatar_component_clause,[],[f399])). 0.95/1.17 tff(f401,plain,( 0.95/1.17 ~spl20_23), 0.95/1.17 inference(avatar_split_clause,[],[f214,f399])). 0.95/1.17 tff(f403,plain,( 0.95/1.17 spl20_25 <=> true != false), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_25])])). 0.95/1.17 tff(f405,plain,( 0.95/1.17 ~spl20_25), 0.95/1.17 inference(avatar_split_clause,[],[f224,f403])). 0.95/1.17 tff(f408,plain,( 0.95/1.17 ( ! [X0:$int] : (~$less(sK5,X0) | ~$less(X0,sK3)) ) | ~spl20_15), 0.95/1.17 inference(resolution,[],[f384,f80])). 0.95/1.17 tff(f409,plain,( 0.95/1.17 $less(sK3,sK5) | sK3 = sK5 | ~spl20_15), 0.95/1.17 inference(resolution,[],[f384,f81])). 0.95/1.17 tff(f410,plain,( 0.95/1.17 $less(sK3,sK5) | sK3 = sK5 | ~spl20_15), 0.95/1.17 inference(resolution,[],[f384,f81])). 0.95/1.17 tff(f411,plain,( 0.95/1.17 $less(sK3,$sum(sK5,1)) | ~spl20_15), 0.95/1.17 inference(resolution,[],[f384,f83])). 0.95/1.17 tff(f413,plain,( 0.95/1.17 spl20_26 <=> sK3 = sK5), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_26])])). 0.95/1.17 tff(f414,plain,( 0.95/1.17 sK3 = sK5 | ~spl20_26), 0.95/1.17 inference(avatar_component_clause,[],[f413])). 0.95/1.17 tff(f416,plain,( 0.95/1.17 spl20_28 <=> $less(sK3,sK5)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_28])])). 0.95/1.17 tff(f417,plain,( 0.95/1.17 $less(sK3,sK5) | ~spl20_28), 0.95/1.17 inference(avatar_component_clause,[],[f416])). 0.95/1.17 tff(f418,plain,( 0.95/1.17 spl20_26 | spl20_28 | spl20_15), 0.95/1.17 inference(avatar_split_clause,[],[f409,f383,f416,f413])). 0.95/1.17 tff(f419,plain,( 0.95/1.17 spl20_26 | spl20_28 | spl20_15), 0.95/1.17 inference(avatar_split_clause,[],[f410,f383,f416,f413])). 0.95/1.17 tff(f420,plain,( 0.95/1.17 $less(sK3,$sum(1,sK5)) | ~spl20_15), 0.95/1.17 inference(forward_demodulation,[],[f411,f74])). 0.95/1.17 tff(f422,plain,( 0.95/1.17 spl20_30 <=> $less(sK3,$sum(1,sK5))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_30])])). 0.95/1.17 tff(f423,plain,( 0.95/1.17 $less(sK3,$sum(1,sK5)) | ~spl20_30), 0.95/1.17 inference(avatar_component_clause,[],[f422])). 0.95/1.17 tff(f424,plain,( 0.95/1.17 spl20_30 | spl20_15), 0.95/1.17 inference(avatar_split_clause,[],[f420,f383,f422])). 0.95/1.17 tff(f425,plain,( 0.95/1.17 ( ! [X0:$int] : (~$less(sK3,X0) | ~$less(X0,sK0)) ) | ~spl20_23), 0.95/1.17 inference(resolution,[],[f400,f80])). 0.95/1.17 tff(f426,plain,( 0.95/1.17 $less(sK0,sK3) | sK0 = sK3 | ~spl20_23), 0.95/1.17 inference(resolution,[],[f400,f81])). 0.95/1.17 tff(f427,plain,( 0.95/1.17 $less(sK0,sK3) | sK0 = sK3 | ~spl20_23), 0.95/1.17 inference(resolution,[],[f400,f81])). 0.95/1.17 tff(f428,plain,( 0.95/1.17 $less(sK0,$sum(sK3,1)) | ~spl20_23), 0.95/1.17 inference(resolution,[],[f400,f83])). 0.95/1.17 tff(f430,plain,( 0.95/1.17 spl20_32 <=> sK0 = sK3), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_32])])). 0.95/1.17 tff(f431,plain,( 0.95/1.17 sK0 = sK3 | ~spl20_32), 0.95/1.17 inference(avatar_component_clause,[],[f430])). 0.95/1.17 tff(f433,plain,( 0.95/1.17 spl20_34 <=> $less(sK0,sK3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_34])])). 0.95/1.17 tff(f434,plain,( 0.95/1.17 $less(sK0,sK3) | ~spl20_34), 0.95/1.17 inference(avatar_component_clause,[],[f433])). 0.95/1.17 tff(f435,plain,( 0.95/1.17 spl20_32 | spl20_34 | spl20_23), 0.95/1.17 inference(avatar_split_clause,[],[f426,f399,f433,f430])). 0.95/1.17 tff(f436,plain,( 0.95/1.17 spl20_32 | spl20_34 | spl20_23), 0.95/1.17 inference(avatar_split_clause,[],[f427,f399,f433,f430])). 0.95/1.17 tff(f437,plain,( 0.95/1.17 $less(sK0,$sum(1,sK3)) | ~spl20_23), 0.95/1.17 inference(forward_demodulation,[],[f428,f74])). 0.95/1.17 tff(f439,plain,( 0.95/1.17 spl20_36 <=> $less(sK0,$sum(1,sK3))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_36])])). 0.95/1.17 tff(f440,plain,( 0.95/1.17 $less(sK0,$sum(1,sK3)) | ~spl20_36), 0.95/1.17 inference(avatar_component_clause,[],[f439])). 0.95/1.17 tff(f441,plain,( 0.95/1.17 spl20_36 | spl20_23), 0.95/1.17 inference(avatar_split_clause,[],[f437,f399,f439])). 0.95/1.17 tff(f443,plain,( 0.95/1.17 ( ! [X1:$int] : (~$less(sK5,X1) | $less(sK3,X1)) ) | ~spl20_28), 0.95/1.17 inference(resolution,[],[f417,f80])). 0.95/1.17 tff(f444,plain,( 0.95/1.17 ( ! [X2:$int] : ($less($sum(sK3,X2),$sum(sK5,X2))) ) | ~spl20_28), 0.95/1.17 inference(resolution,[],[f417,f82])). 0.95/1.17 tff(f445,plain,( 0.95/1.17 ~$less(sK5,$sum(sK3,1)) | ~spl20_28), 0.95/1.17 inference(resolution,[],[f417,f91])). 0.95/1.17 tff(f449,plain,( 0.95/1.17 ~$less(sK5,$sum(1,sK3)) | ~spl20_28), 0.95/1.17 inference(forward_demodulation,[],[f445,f74])). 0.95/1.17 tff(f450,plain,( 0.95/1.17 ~$less(sK5,$sum(1,sK0)) | (~spl20_28 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f449,f431])). 0.95/1.17 tff(f452,plain,( 0.95/1.17 spl20_39 <=> ~$less(sK5,$sum(1,sK0))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_39])])). 0.95/1.17 tff(f453,plain,( 0.95/1.17 ~$less(sK5,$sum(1,sK0)) | ~spl20_39), 0.95/1.17 inference(avatar_component_clause,[],[f452])). 0.95/1.17 tff(f454,plain,( 0.95/1.17 ~spl20_39 | ~spl20_28 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f450,f430,f416,f452])). 0.95/1.17 tff(f456,plain,( 0.95/1.17 $less(sK0,sK5) | (~spl20_28 | ~spl20_32)), 0.95/1.17 inference(superposition,[],[f417,f431])). 0.95/1.17 tff(f458,plain,( 0.95/1.17 ~$less(sK5,sK0) | (~spl20_15 | ~spl20_32)), 0.95/1.17 inference(superposition,[],[f384,f431])). 0.95/1.17 tff(f460,plain,( 0.95/1.17 spl20_40 <=> $less(sK0,sK5)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_40])])). 0.95/1.17 tff(f461,plain,( 0.95/1.17 $less(sK0,sK5) | ~spl20_40), 0.95/1.17 inference(avatar_component_clause,[],[f460])). 0.95/1.17 tff(f462,plain,( 0.95/1.17 spl20_40 | ~spl20_28 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f456,f430,f416,f460])). 0.95/1.17 tff(f464,plain,( 0.95/1.17 spl20_9 <=> ~$less(sK5,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_9])])). 0.95/1.17 tff(f465,plain,( 0.95/1.17 ~$less(sK5,sK0) | ~spl20_9), 0.95/1.17 inference(avatar_component_clause,[],[f464])). 0.95/1.17 tff(f466,plain,( 0.95/1.17 ~spl20_9 | spl20_15 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f458,f430,f383,f464])). 0.95/1.17 tff(f467,plain,( 0.95/1.17 sK0 = sK5 | (~spl20_26 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f414,f431])). 0.95/1.17 tff(f469,plain,( 0.95/1.17 spl20_42 <=> sK0 = sK5), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_42])])). 0.95/1.17 tff(f470,plain,( 0.95/1.17 sK0 = sK5 | ~spl20_42), 0.95/1.17 inference(avatar_component_clause,[],[f469])). 0.95/1.17 tff(f471,plain,( 0.95/1.17 spl20_42 | ~spl20_26 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f467,f430,f413,f469])). 0.95/1.17 tff(f473,plain,( 0.95/1.17 ( ! [X0:$int] : (~$less(X0,sK0) | $less(X0,sK3)) ) | ~spl20_34), 0.95/1.17 inference(resolution,[],[f434,f80])). 0.95/1.17 tff(f474,plain,( 0.95/1.17 ( ! [X1:$int] : (~$less(sK3,X1) | $less(sK0,X1)) ) | ~spl20_34), 0.95/1.17 inference(resolution,[],[f434,f80])). 0.95/1.17 tff(f475,plain,( 0.95/1.17 ( ! [X2:$int] : ($less($sum(sK0,X2),$sum(sK3,X2))) ) | ~spl20_34), 0.95/1.17 inference(resolution,[],[f434,f82])). 0.95/1.17 tff(f476,plain,( 0.95/1.17 ~$less(sK3,$sum(sK0,1)) | ~spl20_34), 0.95/1.17 inference(resolution,[],[f434,f91])). 0.95/1.17 tff(f477,plain,( 0.95/1.17 ~$less(sK3,$sum(1,sK0)) | ~spl20_34), 0.95/1.17 inference(forward_demodulation,[],[f476,f74])). 0.95/1.17 tff(f479,plain,( 0.95/1.17 spl20_45 <=> ~$less(sK3,$sum(1,sK0))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_45])])). 0.95/1.17 tff(f480,plain,( 0.95/1.17 ~$less(sK3,$sum(1,sK0)) | ~spl20_45), 0.95/1.17 inference(avatar_component_clause,[],[f479])). 0.95/1.17 tff(f481,plain,( 0.95/1.17 ~spl20_45 | ~spl20_34), 0.95/1.17 inference(avatar_split_clause,[],[f477,f433,f479])). 0.95/1.17 tff(f482,plain,( 0.95/1.17 ( ! [X0:uni] : (~mem(int,X0,labels(int,t2tb(sK6))) | ~$less(sK5,tb2t3(X0))) )), 0.95/1.17 inference(superposition,[],[f219,f233])). 0.95/1.17 tff(f483,plain,( 0.95/1.17 ( ! [X1:uni] : (~mem(int,X1,labels(int,t2tb(sK6))) | $less(sK3,tb2t3(X1))) )), 0.95/1.17 inference(superposition,[],[f218,f233])). 0.95/1.17 tff(f484,plain,( 0.95/1.17 ( ! [X2:uni] : (~mem(int,X2,labels(int,t2tb(sK4))) | $less(sK0,tb2t3(X2))) )), 0.95/1.17 inference(superposition,[],[f213,f233])). 0.95/1.17 tff(f485,plain,( 0.95/1.17 ( ! [X3:uni] : (~mem(int,X3,labels(int,t2tb(sK4))) | ~$less(sK3,tb2t3(X3))) )), 0.95/1.17 inference(superposition,[],[f212,f233])). 0.95/1.17 tff(f487,plain,( 0.95/1.17 ( ! [X0:uni] : (~mem(int,X0,labels(int,t2tb(sK6))) | ~$less(sK3,tb2t3(X0))) ) | ~spl20_26), 0.95/1.17 inference(forward_demodulation,[],[f482,f414])). 0.95/1.17 tff(f488,plain,( 0.95/1.17 ( ! [X1:uni] : (~mem(int,X1,labels(int,t2tb(sK6)))) ) | ~spl20_26), 0.95/1.17 inference(subsumption_resolution,[],[f483,f487])). 0.95/1.17 tff(f490,plain,( 0.95/1.17 $less(sK0,sK5) | sK0 = sK5 | ~spl20_9), 0.95/1.17 inference(resolution,[],[f465,f81])). 0.95/1.17 tff(f491,plain,( 0.95/1.17 $less(sK0,sK5) | sK0 = sK5 | ~spl20_9), 0.95/1.17 inference(resolution,[],[f465,f81])). 0.95/1.17 tff(f492,plain,( 0.95/1.17 $less(sK0,$sum(sK5,1)) | ~spl20_9), 0.95/1.17 inference(resolution,[],[f465,f83])). 0.95/1.17 tff(f495,plain,( 0.95/1.17 $less(sK0,sK3) | sK0 = sK5 | (~spl20_9 | ~spl20_26)), 0.95/1.17 inference(forward_demodulation,[],[f490,f414])). 0.95/1.17 tff(f496,plain,( 0.95/1.17 $less(sK0,sK3) | sK0 = sK5 | (~spl20_9 | ~spl20_26)), 0.95/1.17 inference(forward_demodulation,[],[f491,f414])). 0.95/1.17 tff(f497,plain,( 0.95/1.17 $less(sK0,$sum(1,sK5)) | ~spl20_9), 0.95/1.17 inference(forward_demodulation,[],[f492,f74])). 0.95/1.17 tff(f502,plain,( 0.95/1.17 ( ! [X0:$int] : ($less(X0,$sum(1,sK5)) | ~$less(X0,sK3)) ) | ~spl20_30), 0.95/1.17 inference(resolution,[],[f423,f80])). 0.95/1.17 tff(f503,plain,( 0.95/1.17 ( ! [X1:$int] : (~$less($sum(1,sK5),X1) | $less(sK3,X1)) ) | ~spl20_30), 0.95/1.17 inference(resolution,[],[f423,f80])). 0.95/1.17 tff(f504,plain,( 0.95/1.17 ( ! [X2:$int] : ($less($sum(sK3,X2),$sum($sum(1,sK5),X2))) ) | ~spl20_30), 0.95/1.17 inference(resolution,[],[f423,f82])). 0.95/1.17 tff(f505,plain,( 0.95/1.17 ~$less($sum(1,sK5),$sum(sK3,1)) | ~spl20_30), 0.95/1.17 inference(resolution,[],[f423,f91])). 0.95/1.17 tff(f506,plain,( 0.95/1.17 $less(sK3,$sum(1,sK3)) | (~spl20_26 | ~spl20_30)), 0.95/1.17 inference(superposition,[],[f423,f414])). 0.95/1.17 tff(f507,plain,( 0.95/1.17 ( ! [X0:$int] : ($less(X0,$sum(1,sK3)) | ~$less(X0,sK3)) ) | (~spl20_26 | ~spl20_30)), 0.95/1.17 inference(forward_demodulation,[],[f502,f414])). 0.95/1.17 tff(f509,plain,( 0.95/1.17 ( ! [X2:$int] : ($less($sum(sK3,X2),$sum(1,$sum(sK5,X2)))) ) | ~spl20_30), 0.95/1.17 inference(forward_demodulation,[],[f504,f75])). 0.95/1.17 tff(f511,plain,( 0.95/1.17 ~$less($sum(1,sK5),$sum(1,sK3)) | ~spl20_30), 0.95/1.17 inference(forward_demodulation,[],[f505,f74])). 0.95/1.17 tff(f514,plain,( 0.95/1.17 spl20_46 <=> $less(sK3,$sum(1,sK3))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_46])])). 0.95/1.17 tff(f515,plain,( 0.95/1.17 $less(sK3,$sum(1,sK3)) | ~spl20_46), 0.95/1.17 inference(avatar_component_clause,[],[f514])). 0.95/1.17 tff(f516,plain,( 0.95/1.17 spl20_46 | ~spl20_26 | ~spl20_30), 0.95/1.17 inference(avatar_split_clause,[],[f506,f422,f413,f514])). 0.95/1.17 tff(f517,plain,( 0.95/1.17 ( ! [X2:$int,X0:ty,X1:uni] : (~$less(length(X0,X1),X2) | ~$less(X2,0)) )), 0.95/1.17 inference(resolution,[],[f246,f80])). 0.95/1.17 tff(f520,plain,( 0.95/1.17 ( ! [X8:uni,X7:ty] : ($less(0,$sum(length(X7,X8),1))) )), 0.95/1.17 inference(resolution,[],[f246,f83])). 0.95/1.17 tff(f521,plain,( 0.95/1.17 ( ! [X8:uni,X7:ty] : ($less($uminus(1),length(X7,X8))) )), 0.95/1.17 inference(evaluation,[],[f520])). 0.95/1.17 tff(f522,plain,( 0.95/1.17 ( ! [X8:uni,X7:ty] : ($less(-1,length(X7,X8))) )), 0.95/1.17 inference(evaluation,[],[f521])). 0.95/1.17 tff(f523,plain,( 0.95/1.17 ( ! [X0:$int] : ($less(X0,$sum(1,sK3)) | ~$less(X0,sK0)) ) | ~spl20_36), 0.95/1.17 inference(resolution,[],[f440,f80])). 0.95/1.17 tff(f524,plain,( 0.95/1.17 ( ! [X1:$int] : (~$less($sum(1,sK3),X1) | $less(sK0,X1)) ) | ~spl20_36), 0.95/1.17 inference(resolution,[],[f440,f80])). 0.95/1.17 tff(f525,plain,( 0.95/1.17 ( ! [X2:$int] : ($less($sum(sK0,X2),$sum($sum(1,sK3),X2))) ) | ~spl20_36), 0.95/1.17 inference(resolution,[],[f440,f82])). 0.95/1.17 tff(f526,plain,( 0.95/1.17 ~$less($sum(1,sK3),$sum(sK0,1)) | ~spl20_36), 0.95/1.17 inference(resolution,[],[f440,f91])). 0.95/1.17 tff(f527,plain,( 0.95/1.17 ( ! [X2:$int] : ($less($sum(sK0,X2),$sum(1,$sum(sK3,X2)))) ) | ~spl20_36), 0.95/1.17 inference(forward_demodulation,[],[f525,f75])). 0.95/1.17 tff(f528,plain,( 0.95/1.17 ~$less($sum(1,sK3),$sum(1,sK0)) | ~spl20_36), 0.95/1.17 inference(forward_demodulation,[],[f526,f74])). 0.95/1.17 tff(f530,plain,( 0.95/1.17 spl20_49 <=> ~$less($sum(1,sK3),$sum(1,sK0))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_49])])). 0.95/1.17 tff(f531,plain,( 0.95/1.17 ~$less($sum(1,sK3),$sum(1,sK0)) | ~spl20_49), 0.95/1.17 inference(avatar_component_clause,[],[f530])). 0.95/1.17 tff(f532,plain,( 0.95/1.17 ~spl20_49 | ~spl20_36), 0.95/1.17 inference(avatar_split_clause,[],[f528,f439,f530])). 0.95/1.17 tff(f538,plain,( 0.95/1.17 $less($sum(1,sK0),sK3) | $sum(1,sK0) = sK3 | ~spl20_45), 0.95/1.17 inference(resolution,[],[f480,f81])). 0.95/1.17 tff(f539,plain,( 0.95/1.17 $less($sum(1,sK0),sK3) | $sum(1,sK0) = sK3 | ~spl20_45), 0.95/1.17 inference(resolution,[],[f480,f81])). 0.95/1.17 tff(f540,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(sK3,1)) | ~spl20_45), 0.95/1.17 inference(resolution,[],[f480,f83])). 0.95/1.17 tff(f542,plain,( 0.95/1.17 spl20_50 <=> $sum(1,sK0) = sK3), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_50])])). 0.95/1.17 tff(f543,plain,( 0.95/1.17 $sum(1,sK0) = sK3 | ~spl20_50), 0.95/1.17 inference(avatar_component_clause,[],[f542])). 0.95/1.17 tff(f545,plain,( 0.95/1.17 spl20_52 <=> $less($sum(1,sK0),sK3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_52])])). 0.95/1.17 tff(f547,plain,( 0.95/1.17 spl20_50 | spl20_52 | spl20_45), 0.95/1.17 inference(avatar_split_clause,[],[f538,f479,f545,f542])). 0.95/1.17 tff(f548,plain,( 0.95/1.17 spl20_50 | spl20_52 | spl20_45), 0.95/1.17 inference(avatar_split_clause,[],[f539,f479,f545,f542])). 0.95/1.17 tff(f549,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,sK3)) | ~spl20_45), 0.95/1.17 inference(forward_demodulation,[],[f540,f74])). 0.95/1.17 tff(f551,plain,( 0.95/1.17 spl20_54 <=> $less($sum(1,sK0),$sum(1,sK3))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_54])])). 0.95/1.17 tff(f553,plain,( 0.95/1.17 spl20_54 | spl20_45), 0.95/1.17 inference(avatar_split_clause,[],[f549,f479,f551])). 0.95/1.17 tff(f554,plain,( 0.95/1.17 sK0 = sK3 | $less(sK0,sK3) | (~spl20_9 | ~spl20_26)), 0.95/1.17 inference(forward_demodulation,[],[f496,f414])). 0.95/1.17 tff(f555,plain,( 0.95/1.17 spl20_34 | spl20_32 | spl20_9 | ~spl20_26), 0.95/1.17 inference(avatar_split_clause,[],[f554,f413,f464,f430,f433])). 0.95/1.17 tff(f556,plain,( 0.95/1.17 sK0 = sK3 | $less(sK0,sK3) | (~spl20_9 | ~spl20_26)), 0.95/1.17 inference(forward_demodulation,[],[f495,f414])). 0.95/1.17 tff(f557,plain,( 0.95/1.17 spl20_34 | spl20_32 | spl20_9 | ~spl20_26), 0.95/1.17 inference(avatar_split_clause,[],[f556,f413,f464,f430,f433])). 0.95/1.17 tff(f558,plain,( 0.95/1.17 $less(sK0,$sum(1,sK0)) | (~spl20_32 | ~spl20_36)), 0.95/1.17 inference(superposition,[],[f440,f431])). 0.95/1.17 tff(f559,plain,( 0.95/1.17 $less(sK0,$sum(1,sK5)) | (~spl20_30 | ~spl20_32)), 0.95/1.17 inference(superposition,[],[f423,f431])). 0.95/1.17 tff(f563,plain,( 0.95/1.17 spl20_56 <=> $less(sK0,$sum(1,sK0))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_56])])). 0.95/1.17 tff(f564,plain,( 0.95/1.17 $less(sK0,$sum(1,sK0)) | ~spl20_56), 0.95/1.17 inference(avatar_component_clause,[],[f563])). 0.95/1.17 tff(f565,plain,( 0.95/1.17 spl20_56 | ~spl20_32 | ~spl20_36), 0.95/1.17 inference(avatar_split_clause,[],[f558,f439,f430,f563])). 0.95/1.17 tff(f584,plain,( 0.95/1.17 ( ! [X0:$int] : ($less(X0,$sum(1,sK0)) | ~$less(X0,sK0)) ) | ~spl20_56), 0.95/1.17 inference(resolution,[],[f564,f80])). 0.95/1.17 tff(f592,plain,( 0.95/1.17 ( ! [X0:$int,X1:$int] : (~$less(sK5,X1) | ~$less(X0,sK3) | ~$less(X1,X0)) ) | ~spl20_15), 0.95/1.17 inference(resolution,[],[f408,f80])). 0.95/1.17 tff(f596,plain,( 0.95/1.17 ( ! [X5:$int] : (~$less($sum(X5,1),sK3) | $less(X5,sK5)) ) | ~spl20_15), 0.95/1.17 inference(resolution,[],[f408,f83])). 0.95/1.17 tff(f597,plain,( 0.95/1.17 ( ! [X0:$int] : (~$less(sK0,X0) | ~$less(X0,sK3)) ) | (~spl20_15 | ~spl20_42)), 0.95/1.17 inference(superposition,[],[f408,f470])). 0.95/1.17 tff(f611,plain,( 0.95/1.17 ( ! [X5:$int] : (~$less($sum(X5,1),sK0) | $less(X5,sK5)) ) | (~spl20_15 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f596,f431])). 0.95/1.17 tff(f612,plain,( 0.95/1.17 ( ! [X5:$int] : ($less(X5,sK3) | ~$less($sum(X5,1),sK0)) ) | (~spl20_15 | ~spl20_26 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f611,f414])). 0.95/1.17 tff(f613,plain,( 0.95/1.17 ( ! [X5:$int] : (~$less($sum(X5,1),sK0) | $less(X5,sK0)) ) | (~spl20_15 | ~spl20_26 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f612,f431])). 0.95/1.17 tff(f614,plain,( 0.95/1.17 ( ! [X0:$int] : (~$less(sK0,X0) | ~$less(X0,sK0)) ) | (~spl20_15 | ~spl20_32 | ~spl20_42)), 0.95/1.17 inference(forward_demodulation,[],[f597,f431])). 0.95/1.17 tff(f619,plain,( 0.95/1.17 ~$less($sum(1,sK5),sK0) | (~spl20_23 | ~spl20_30)), 0.95/1.17 inference(resolution,[],[f425,f423])). 0.95/1.17 tff(f620,plain,( 0.95/1.17 ~$less($sum(1,sK3),sK0) | (~spl20_23 | ~spl20_46)), 0.95/1.17 inference(resolution,[],[f425,f515])). 0.95/1.17 tff(f621,plain,( 0.95/1.17 ( ! [X0:$int,X1:$int] : (~$less(sK3,X1) | ~$less(X0,sK0) | ~$less(X1,X0)) ) | ~spl20_23), 0.95/1.17 inference(resolution,[],[f425,f80])). 0.95/1.17 tff(f623,plain,( 0.95/1.17 ( ! [X3:$int] : (~$less(X3,sK0) | $less(X3,sK3) | sK3 = X3) ) | ~spl20_23), 0.95/1.17 inference(resolution,[],[f425,f81])). 0.95/1.17 tff(f627,plain,( 0.95/1.17 ~$less($sum(1,sK3),sK0) | (~spl20_23 | ~spl20_26 | ~spl20_30)), 0.95/1.17 inference(forward_demodulation,[],[f619,f414])). 0.95/1.17 tff(f628,plain,( 0.95/1.17 ~$less($sum(1,sK0),sK0) | (~spl20_23 | ~spl20_26 | ~spl20_30 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f627,f431])). 0.95/1.17 tff(f630,plain,( 0.95/1.17 spl20_59 <=> ~$less($sum(1,sK0),sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_59])])). 0.95/1.17 tff(f631,plain,( 0.95/1.17 ~$less($sum(1,sK0),sK0) | ~spl20_59), 0.95/1.17 inference(avatar_component_clause,[],[f630])). 0.95/1.17 tff(f632,plain,( 0.95/1.17 ~spl20_59 | spl20_23 | ~spl20_26 | ~spl20_30 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f628,f430,f422,f413,f399,f630])). 0.95/1.17 tff(f633,plain,( 0.95/1.17 ~$less($sum(1,sK0),sK0) | (~spl20_23 | ~spl20_32 | ~spl20_46)), 0.95/1.17 inference(forward_demodulation,[],[f620,f431])). 0.95/1.17 tff(f634,plain,( 0.95/1.17 ~spl20_59 | spl20_23 | ~spl20_32 | ~spl20_46), 0.95/1.17 inference(avatar_split_clause,[],[f633,f514,f430,f399,f630])). 0.95/1.17 tff(f647,plain,( 0.95/1.17 $less(sK0,$sum($sum(1,sK0),1)) | ~spl20_59), 0.95/1.17 inference(resolution,[],[f631,f83])). 0.95/1.17 tff(f648,plain,( 0.95/1.17 $less(sK0,$sum(1,$sum(1,sK0))) | ~spl20_59), 0.95/1.17 inference(forward_demodulation,[],[f647,f74])). 0.95/1.17 tff(f650,plain,( 0.95/1.17 spl20_60 <=> $less(sK0,$sum(1,$sum(1,sK0)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_60])])). 0.95/1.17 tff(f651,plain,( 0.95/1.17 $less(sK0,$sum(1,$sum(1,sK0))) | ~spl20_60), 0.95/1.17 inference(avatar_component_clause,[],[f650])). 0.95/1.17 tff(f652,plain,( 0.95/1.17 spl20_60 | spl20_59), 0.95/1.17 inference(avatar_split_clause,[],[f648,f630,f650])). 0.95/1.17 tff(f670,plain,( 0.95/1.17 ( ! [X5:uni,X3:ty] : (~$less($sum(1,length(X3,X5)),0)) )), 0.95/1.17 inference(superposition,[],[f246,f242])). 0.95/1.17 tff(f671,plain,( 0.95/1.17 ( ! [X5:uni,X3:ty] : (~$less(length(X3,X5),$uminus(1))) )), 0.95/1.17 inference(evaluation,[],[f670])). 0.95/1.17 tff(f672,plain,( 0.95/1.17 ( ! [X5:uni,X3:ty] : (~$less(length(X3,X5),-1)) )), 0.95/1.17 inference(evaluation,[],[f671])). 0.95/1.17 tff(f698,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,sK3)) | $sum(1,sK0) = $sum(1,sK3) | ~spl20_49), 0.95/1.17 inference(resolution,[],[f531,f81])). 0.95/1.17 tff(f699,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,sK3)) | $sum(1,sK0) = $sum(1,sK3) | ~spl20_49), 0.95/1.17 inference(resolution,[],[f531,f81])). 0.95/1.17 tff(f700,plain,( 0.95/1.17 $less($sum(1,sK0),$sum($sum(1,sK3),1)) | ~spl20_49), 0.95/1.17 inference(resolution,[],[f531,f83])). 0.95/1.17 tff(f707,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,$sum(1,sK3))) | ~spl20_49), 0.95/1.17 inference(forward_demodulation,[],[f700,f74])). 0.95/1.17 tff(f708,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,$sum(1,sK0))) | (~spl20_32 | ~spl20_49)), 0.95/1.17 inference(forward_demodulation,[],[f707,f431])). 0.95/1.17 tff(f710,plain,( 0.95/1.17 spl20_62 <=> $less($sum(1,sK0),$sum(1,$sum(1,sK0)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_62])])). 0.95/1.17 tff(f712,plain,( 0.95/1.17 spl20_62 | ~spl20_32 | spl20_49), 0.95/1.17 inference(avatar_split_clause,[],[f708,f530,f430,f710])). 0.95/1.17 tff(f719,plain,( 0.95/1.17 ( ! [X12:ty,X13:uni] : (mem(X12,cons_proj_1(X12,X13),X13) | ~sort(X12,cons_proj_1(X12,X13)) | nil(X12) = X13) )), 0.95/1.17 inference(superposition,[],[f356,f260])). 0.95/1.17 tff(f722,plain,( 0.95/1.17 ( ! [X12:ty,X13:uni] : (mem(X12,cons_proj_1(X12,X13),X13) | nil(X12) = X13) )), 0.95/1.17 inference(subsumption_resolution,[],[f719,f249])). 0.95/1.17 tff(f742,plain,( 0.95/1.17 ~$less($sum(1,$sum(1,sK0)),sK0) | (~spl20_15 | ~spl20_32 | ~spl20_42 | ~spl20_60)), 0.95/1.17 inference(resolution,[],[f651,f614])). 0.95/1.17 tff(f746,plain,( 0.95/1.17 ~$less($sum(1,$sum(1,sK0)),$sum(sK0,1)) | ~spl20_60), 0.95/1.17 inference(resolution,[],[f651,f91])). 0.95/1.17 tff(f748,plain,( 0.95/1.17 spl20_65 <=> ~$less($sum(1,$sum(1,sK0)),sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_65])])). 0.95/1.17 tff(f749,plain,( 0.95/1.17 ~$less($sum(1,$sum(1,sK0)),sK0) | ~spl20_65), 0.95/1.17 inference(avatar_component_clause,[],[f748])). 0.95/1.17 tff(f750,plain,( 0.95/1.17 ~spl20_65 | spl20_15 | ~spl20_32 | ~spl20_42 | ~spl20_60), 0.95/1.17 inference(avatar_split_clause,[],[f742,f650,f469,f430,f383,f748])). 0.95/1.17 tff(f753,plain,( 0.95/1.17 ~$less($sum(1,$sum(1,sK0)),$sum(1,sK0)) | ~spl20_60), 0.95/1.17 inference(forward_demodulation,[],[f746,f74])). 0.95/1.17 tff(f755,plain,( 0.95/1.17 spl20_67 <=> ~$less($sum(1,$sum(1,sK0)),$sum(1,sK0))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_67])])). 0.95/1.17 tff(f757,plain,( 0.95/1.17 ~spl20_67 | ~spl20_60), 0.95/1.17 inference(avatar_split_clause,[],[f753,f650,f755])). 0.95/1.17 tff(f793,plain,( 0.95/1.17 $less(sK0,$sum($sum(1,$sum(1,sK0)),1)) | ~spl20_65), 0.95/1.17 inference(resolution,[],[f749,f83])). 0.95/1.17 tff(f794,plain,( 0.95/1.17 $less(sK0,$sum(1,$sum(1,$sum(1,sK0)))) | ~spl20_65), 0.95/1.17 inference(forward_demodulation,[],[f793,f74])). 0.95/1.17 tff(f796,plain,( 0.95/1.17 spl20_68 <=> $less(sK0,$sum(1,$sum(1,$sum(1,sK0))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_68])])). 0.95/1.17 tff(f798,plain,( 0.95/1.17 spl20_68 | spl20_65), 0.95/1.17 inference(avatar_split_clause,[],[f794,f748,f796])). 0.95/1.17 tff(f851,plain,( 0.95/1.17 ~$less($sum(1,sK3),sK3) | (~spl20_26 | ~spl20_30)), 0.95/1.17 inference(resolution,[],[f507,f79])). 0.95/1.17 tff(f906,plain,( 0.95/1.17 ~$less($sum(1,sK3),sK0) | ~spl20_36), 0.95/1.17 inference(resolution,[],[f523,f79])). 0.95/1.17 tff(f930,plain,( 0.95/1.17 ( ! [X31:ty,X32:uni] : (mem(X31,sK8(X31,X32),X32) | ~sort(X31,sK8(X31,X32)) | distinct(X31,sK10(X31,X32)) | nil(X31) = X32 | ~distinct(X31,X32)) )), 0.95/1.17 inference(superposition,[],[f356,f264])). 0.95/1.17 tff(f936,plain,( 0.95/1.17 ( ! [X31:ty,X32:uni] : (mem(X31,sK8(X31,X32),X32) | distinct(X31,sK10(X31,X32)) | nil(X31) = X32 | ~distinct(X31,X32)) )), 0.95/1.17 inference(subsumption_resolution,[],[f930,f269])). 0.95/1.17 tff(f979,plain,( 0.95/1.17 ~same_shape(int,a1,t2tb2(sK2),t2tb(sK4)) | ~same_shape(int,a1,t2tb2(sK1),t2tb(sK6)) | ~spl20_1), 0.95/1.17 inference(resolution,[],[f350,f360])). 0.95/1.17 tff(f982,plain,( 0.95/1.17 ~same_shape(int,a1,t2tb2(sK1),t2tb(sK6)) | (~spl20_1 | ~spl20_18)), 0.95/1.17 inference(subsumption_resolution,[],[f979,f392])). 0.95/1.17 tff(f983,plain,( 0.95/1.17 $false | (~spl20_1 | ~spl20_12 | ~spl20_18)), 0.95/1.17 inference(subsumption_resolution,[],[f982,f380])). 0.95/1.17 tff(f984,plain,( 0.95/1.17 spl20_1 | ~spl20_12 | ~spl20_18), 0.95/1.17 inference(avatar_contradiction_clause,[],[f983])). 0.95/1.17 tff(f1002,plain,( 0.95/1.17 ( ! [X0:$int] : (~$less($sum(1,X0),sK0) | $less(X0,sK0)) ) | (~spl20_15 | ~spl20_26 | ~spl20_32)), 0.95/1.17 inference(superposition,[],[f613,f74])). 0.95/1.17 tff(f1047,plain,( 0.95/1.17 ~$less($sum(1,sK3),sK0) | (~spl20_49 | ~spl20_56)), 0.95/1.17 inference(resolution,[],[f584,f531])). 0.95/1.17 tff(f1201,plain,( 0.95/1.17 ~$less(0,sK0) | $less($uminus(1),sK0) | (~spl20_15 | ~spl20_26 | ~spl20_32)), 0.95/1.17 inference(superposition,[],[f1002,f78])). 0.95/1.17 tff(f1202,plain,( 0.95/1.17 ~$less(1,sK0) | $less(0,sK0) | (~spl20_15 | ~spl20_26 | ~spl20_32)), 0.95/1.17 inference(superposition,[],[f1002,f76])). 0.95/1.17 tff(f1205,plain,( 0.95/1.17 ~$less(0,sK0) | $less(-1,sK0) | (~spl20_15 | ~spl20_26 | ~spl20_32)), 0.95/1.17 inference(evaluation,[],[f1201])). 0.95/1.17 tff(f1208,plain,( 0.95/1.17 spl20_70 <=> $less(-1,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_70])])). 0.95/1.17 tff(f1209,plain,( 0.95/1.17 $less(-1,sK0) | ~spl20_70), 0.95/1.17 inference(avatar_component_clause,[],[f1208])). 0.95/1.17 tff(f1211,plain,( 0.95/1.17 spl20_73 <=> ~$less(0,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_73])])). 0.95/1.17 tff(f1212,plain,( 0.95/1.17 ~$less(0,sK0) | ~spl20_73), 0.95/1.17 inference(avatar_component_clause,[],[f1211])). 0.95/1.17 tff(f1213,plain,( 0.95/1.17 spl20_70 | ~spl20_73 | spl20_15 | ~spl20_26 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f1205,f430,f413,f383,f1211,f1208])). 0.95/1.17 tff(f1215,plain,( 0.95/1.17 spl20_72 <=> $less(0,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_72])])). 0.95/1.17 tff(f1216,plain,( 0.95/1.17 $less(0,sK0) | ~spl20_72), 0.95/1.17 inference(avatar_component_clause,[],[f1215])). 0.95/1.17 tff(f1218,plain,( 0.95/1.17 spl20_75 <=> ~$less(1,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_75])])). 0.95/1.17 tff(f1219,plain,( 0.95/1.17 ~$less(1,sK0) | ~spl20_75), 0.95/1.17 inference(avatar_component_clause,[],[f1218])). 0.95/1.17 tff(f1220,plain,( 0.95/1.17 spl20_72 | ~spl20_75 | spl20_15 | ~spl20_26 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f1202,f430,f413,f383,f1218,f1215])). 0.95/1.17 tff(f1232,plain,( 0.95/1.17 $less(sK0,0) | 0 = sK0 | ~spl20_73), 0.95/1.17 inference(resolution,[],[f1212,f81])). 0.95/1.17 tff(f1233,plain,( 0.95/1.17 $less(sK0,0) | 0 = sK0 | ~spl20_73), 0.95/1.17 inference(resolution,[],[f1212,f81])). 0.95/1.17 tff(f1234,plain,( 0.95/1.17 $less(sK0,$sum(0,1)) | ~spl20_73), 0.95/1.17 inference(resolution,[],[f1212,f83])). 0.95/1.17 tff(f1235,plain,( 0.95/1.17 $less(sK0,1) | ~spl20_73), 0.95/1.17 inference(evaluation,[],[f1234])). 0.95/1.17 tff(f1237,plain,( 0.95/1.17 spl20_76 <=> 0 = sK0), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_76])])). 0.95/1.17 tff(f1238,plain,( 0.95/1.17 0 = sK0 | ~spl20_76), 0.95/1.17 inference(avatar_component_clause,[],[f1237])). 0.95/1.17 tff(f1240,plain,( 0.95/1.17 spl20_78 <=> $less(sK0,0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_78])])). 0.95/1.17 tff(f1241,plain,( 0.95/1.17 $less(sK0,0) | ~spl20_78), 0.95/1.17 inference(avatar_component_clause,[],[f1240])). 0.95/1.17 tff(f1242,plain,( 0.95/1.17 spl20_76 | spl20_78 | spl20_73), 0.95/1.17 inference(avatar_split_clause,[],[f1232,f1211,f1240,f1237])). 0.95/1.17 tff(f1243,plain,( 0.95/1.17 spl20_76 | spl20_78 | spl20_73), 0.95/1.17 inference(avatar_split_clause,[],[f1233,f1211,f1240,f1237])). 0.95/1.17 tff(f1245,plain,( 0.95/1.17 spl20_80 <=> $less(sK0,1)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_80])])). 0.95/1.17 tff(f1246,plain,( 0.95/1.17 $less(sK0,1) | ~spl20_80), 0.95/1.17 inference(avatar_component_clause,[],[f1245])). 0.95/1.17 tff(f1247,plain,( 0.95/1.17 spl20_80 | spl20_73), 0.95/1.17 inference(avatar_split_clause,[],[f1235,f1211,f1245])). 0.95/1.17 tff(f1281,plain,( 0.95/1.17 ~$less(sK0,$sum(-1,1)) | ~spl20_70), 0.95/1.17 inference(resolution,[],[f1209,f91])). 0.95/1.17 tff(f1282,plain,( 0.95/1.17 ~$less(sK0,0) | ~spl20_70), 0.95/1.17 inference(evaluation,[],[f1281])). 0.95/1.17 tff(f1284,plain,( 0.95/1.17 spl20_79 <=> ~$less(sK0,0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_79])])). 0.95/1.17 tff(f1285,plain,( 0.95/1.17 ~$less(sK0,0) | ~spl20_79), 0.95/1.17 inference(avatar_component_clause,[],[f1284])). 0.95/1.17 tff(f1286,plain,( 0.95/1.17 ~spl20_79 | ~spl20_70), 0.95/1.17 inference(avatar_split_clause,[],[f1282,f1208,f1284])). 0.95/1.17 tff(f1290,plain,( 0.95/1.17 ~$less(sK0,$sum(0,1)) | ~spl20_72), 0.95/1.17 inference(resolution,[],[f1216,f91])). 0.95/1.17 tff(f1291,plain,( 0.95/1.17 ~$less(sK0,1) | ~spl20_72), 0.95/1.17 inference(evaluation,[],[f1290])). 0.95/1.17 tff(f1294,plain,( 0.95/1.17 spl20_81 <=> ~$less(sK0,1)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_81])])). 0.95/1.17 tff(f1295,plain,( 0.95/1.17 ~$less(sK0,1) | ~spl20_81), 0.95/1.17 inference(avatar_component_clause,[],[f1294])). 0.95/1.17 tff(f1296,plain,( 0.95/1.17 ~spl20_81 | ~spl20_72), 0.95/1.17 inference(avatar_split_clause,[],[f1291,f1215,f1294])). 0.95/1.17 tff(f1302,plain,( 0.95/1.17 ( ! [X1:uni] : (~$less(sK3,tb2t3(sK11(int,X1,labels(int,t2tb(sK4))))) | distinct(int,infix_plpl(int,X1,labels(int,t2tb(sK4)))) | ~distinct(int,labels(int,t2tb(sK4))) | ~distinct(int,X1)) )), 0.95/1.17 inference(resolution,[],[f485,f292])). 0.95/1.17 tff(f1306,plain,( 0.95/1.17 ( ! [X1:uni] : (~$less(sK3,tb2t3(sK11(int,X1,labels(int,t2tb(sK4))))) | distinct(int,infix_plpl(int,X1,labels(int,t2tb(sK4)))) | ~distinct(int,X1)) ) | ~spl20_20), 0.95/1.17 inference(subsumption_resolution,[],[f1302,f396])). 0.95/1.17 tff(f1311,plain,( 0.95/1.17 ( ! [X2:uni,X0:$int,X1:ty] : ($less(X0,length(X1,X2)) | ~$less(X0,-1)) )), 0.95/1.17 inference(resolution,[],[f522,f80])). 0.95/1.17 tff(f1312,plain,( 0.95/1.17 ( ! [X4:uni,X5:$int,X3:ty] : (~$less(length(X3,X4),X5) | $less(-1,X5)) )), 0.95/1.17 inference(resolution,[],[f522,f80])). 0.95/1.17 tff(f1321,plain,( 0.95/1.17 $less(sK0,1) | 1 = sK0 | ~spl20_75), 0.95/1.17 inference(resolution,[],[f1219,f81])). 0.95/1.17 tff(f1322,plain,( 0.95/1.17 $less(sK0,1) | 1 = sK0 | ~spl20_75), 0.95/1.17 inference(resolution,[],[f1219,f81])). 0.95/1.17 tff(f1323,plain,( 0.95/1.17 $less(sK0,$sum(1,1)) | ~spl20_75), 0.95/1.17 inference(resolution,[],[f1219,f83])). 0.95/1.17 tff(f1324,plain,( 0.95/1.17 $less(sK0,2) | ~spl20_75), 0.95/1.17 inference(evaluation,[],[f1323])). 0.95/1.17 tff(f1325,plain,( 0.95/1.17 1 = sK0 | (~spl20_75 | ~spl20_81)), 0.95/1.17 inference(subsumption_resolution,[],[f1321,f1295])). 0.95/1.17 tff(f1327,plain,( 0.95/1.17 spl20_82 <=> 1 = sK0), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_82])])). 0.95/1.17 tff(f1328,plain,( 0.95/1.17 1 = sK0 | ~spl20_82), 0.95/1.17 inference(avatar_component_clause,[],[f1327])). 0.95/1.17 tff(f1329,plain,( 0.95/1.17 spl20_82 | spl20_75 | spl20_81), 0.95/1.17 inference(avatar_split_clause,[],[f1325,f1294,f1218,f1327])). 0.95/1.17 tff(f1330,plain,( 0.95/1.17 1 = sK0 | (~spl20_75 | ~spl20_81)), 0.95/1.17 inference(subsumption_resolution,[],[f1322,f1295])). 0.95/1.17 tff(f1331,plain,( 0.95/1.17 spl20_82 | spl20_75 | spl20_81), 0.95/1.17 inference(avatar_split_clause,[],[f1330,f1294,f1218,f1327])). 0.95/1.17 tff(f1333,plain,( 0.95/1.17 spl20_84 <=> $less(sK0,2)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_84])])). 0.95/1.17 tff(f1334,plain,( 0.95/1.17 $less(sK0,2) | ~spl20_84), 0.95/1.17 inference(avatar_component_clause,[],[f1333])). 0.95/1.17 tff(f1335,plain,( 0.95/1.17 spl20_84 | spl20_75), 0.95/1.17 inference(avatar_split_clause,[],[f1324,f1218,f1333])). 0.95/1.17 tff(f1336,plain,( 0.95/1.17 ( ! [X2:$int,X0:ty,X1:uni] : (~$less(length(X0,X1),X2) | ~$less(X2,-1)) )), 0.95/1.17 inference(resolution,[],[f672,f80])). 0.95/1.17 tff(f1355,plain,( 0.95/1.17 ( ! [X17:uni,X16:ty] : (~$less($sum(1,sK3),0) | ~$less(length(X16,X17),sK0)) ) | ~spl20_36), 0.95/1.17 inference(resolution,[],[f517,f523])). 0.95/1.17 tff(f1358,plain,( 0.95/1.17 ( ! [X1:$int] : (~$less(0,X1) | ~$less(X1,0)) )), 0.95/1.17 inference(superposition,[],[f517,f241])). 0.95/1.17 tff(f1364,plain,( 0.95/1.17 ( ! [X17:uni,X16:ty] : (~$less(sK3,$uminus(1)) | ~$less(length(X16,X17),sK0)) ) | ~spl20_36), 0.95/1.17 inference(evaluation,[],[f1355])). 0.95/1.17 tff(f1365,plain,( 0.95/1.17 ( ! [X17:uni,X16:ty] : (~$less(sK3,-1) | ~$less(length(X16,X17),sK0)) ) | ~spl20_36), 0.95/1.17 inference(evaluation,[],[f1364])). 0.95/1.17 tff(f1383,plain,( 0.95/1.17 $less(0,sK0) | 0 = sK0 | ~spl20_79), 0.95/1.17 inference(resolution,[],[f1285,f81])). 0.95/1.17 tff(f1384,plain,( 0.95/1.17 $less(0,sK0) | 0 = sK0 | ~spl20_79), 0.95/1.17 inference(resolution,[],[f1285,f81])). 0.95/1.17 tff(f1410,plain,( 0.95/1.17 nil(int) = labels(int,t2tb(sK6)) | ~$less(sK3,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6))))) | ~spl20_26), 0.95/1.17 inference(resolution,[],[f722,f487])). 0.95/1.17 tff(f1411,plain,( 0.95/1.17 nil(int) = labels(int,t2tb(sK6)) | ~spl20_26), 0.95/1.17 inference(resolution,[],[f722,f488])). 0.95/1.17 tff(f1412,plain,( 0.95/1.17 nil(int) = labels(int,t2tb(sK4)) | ~$less(sK3,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))))), 0.95/1.17 inference(resolution,[],[f722,f485])). 0.95/1.17 tff(f1413,plain,( 0.95/1.17 nil(int) = labels(int,t2tb(sK4)) | $less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))))), 0.95/1.17 inference(resolution,[],[f722,f484])). 0.95/1.17 tff(f1416,plain,( 0.95/1.17 ~$less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6))))) | nil(int) = labels(int,t2tb(sK6)) | (~spl20_26 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f1410,f431])). 0.95/1.17 tff(f1418,plain,( 0.95/1.17 spl20_86 <=> nil(int) = labels(int,t2tb(sK6))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_86])])). 0.95/1.17 tff(f1419,plain,( 0.95/1.17 nil(int) = labels(int,t2tb(sK6)) | ~spl20_86), 0.95/1.17 inference(avatar_component_clause,[],[f1418])). 0.95/1.17 tff(f1421,plain,( 0.95/1.17 spl20_89 <=> ~$less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_89])])). 0.95/1.17 tff(f1423,plain,( 0.95/1.17 spl20_86 | ~spl20_89 | ~spl20_26 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f1416,f430,f413,f1421,f1418])). 0.95/1.17 tff(f1424,plain,( 0.95/1.17 spl20_86 | ~spl20_26), 0.95/1.17 inference(avatar_split_clause,[],[f1411,f413,f1418])). 0.95/1.17 tff(f1425,plain,( 0.95/1.17 ~$less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4))))) | nil(int) = labels(int,t2tb(sK4)) | ~spl20_32), 0.95/1.17 inference(forward_demodulation,[],[f1412,f431])). 0.95/1.17 tff(f1427,plain,( 0.95/1.17 spl20_90 <=> nil(int) = labels(int,t2tb(sK4))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_90])])). 0.95/1.17 tff(f1430,plain,( 0.95/1.17 spl20_93 <=> ~$less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_93])])). 0.95/1.17 tff(f1432,plain,( 0.95/1.17 spl20_90 | ~spl20_93 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f1425,f430,f1430,f1427])). 0.95/1.17 tff(f1434,plain,( 0.95/1.17 spl20_92 <=> $less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_92])])). 0.95/1.17 tff(f1435,plain,( 0.95/1.17 $less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4))))) | ~spl20_92), 0.95/1.17 inference(avatar_component_clause,[],[f1434])). 0.95/1.17 tff(f1436,plain,( 0.95/1.17 spl20_92 | spl20_90), 0.95/1.17 inference(avatar_split_clause,[],[f1413,f1427,f1434])). 0.95/1.17 tff(f1438,plain,( 0.95/1.17 spl20_95 <=> ~$less($sum(1,sK5),sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_95])])). 0.95/1.17 tff(f1439,plain,( 0.95/1.17 ~$less($sum(1,sK5),sK0) | ~spl20_95), 0.95/1.17 inference(avatar_component_clause,[],[f1438])). 0.95/1.17 tff(f1440,plain,( 0.95/1.17 ~spl20_95 | spl20_23 | ~spl20_30), 0.95/1.17 inference(avatar_split_clause,[],[f619,f422,f399,f1438])). 0.95/1.17 tff(f1446,plain,( 0.95/1.17 spl20_96 <=> $less(sK0,$sum(1,sK5))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_96])])). 0.95/1.17 tff(f1447,plain,( 0.95/1.17 $less(sK0,$sum(1,sK5)) | ~spl20_96), 0.95/1.17 inference(avatar_component_clause,[],[f1446])). 0.95/1.17 tff(f1448,plain,( 0.95/1.17 spl20_96 | ~spl20_30 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f559,f430,f422,f1446])). 0.95/1.17 tff(f1449,plain,( 0.95/1.17 ~$less($sum(1,sK5),$sum(1,sK0)) | (~spl20_30 | ~spl20_32)), 0.95/1.17 inference(forward_demodulation,[],[f511,f431])). 0.95/1.17 tff(f1451,plain,( 0.95/1.17 spl20_99 <=> ~$less($sum(1,sK5),$sum(1,sK0))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_99])])). 0.95/1.17 tff(f1452,plain,( 0.95/1.17 ~$less($sum(1,sK5),$sum(1,sK0)) | ~spl20_99), 0.95/1.17 inference(avatar_component_clause,[],[f1451])). 0.95/1.17 tff(f1453,plain,( 0.95/1.17 ~spl20_99 | ~spl20_30 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f1449,f430,f422,f1451])). 0.95/1.17 tff(f1457,plain,( 0.95/1.17 spl20_96 | spl20_9), 0.95/1.17 inference(avatar_split_clause,[],[f497,f464,f1446])). 0.95/1.17 tff(f1458,plain,( 0.95/1.17 spl20_42 | spl20_40 | spl20_9), 0.95/1.17 inference(avatar_split_clause,[],[f491,f464,f460,f469])). 0.95/1.17 tff(f1459,plain,( 0.95/1.17 spl20_42 | spl20_40 | spl20_9), 0.95/1.17 inference(avatar_split_clause,[],[f490,f464,f460,f469])). 0.95/1.17 tff(f1460,plain,( 0.95/1.17 ( ! [X1:uni] : (~mem(int,X1,labels(int,t2tb(sK6))) | $less(sK0,tb2t3(X1))) ) | ~spl20_32), 0.95/1.17 inference(forward_demodulation,[],[f483,f431])). 0.95/1.17 tff(f1468,plain,( 0.95/1.17 ~$less(sK5,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6))))) | nil(int) = labels(int,t2tb(sK6))), 0.95/1.17 inference(resolution,[],[f482,f722])). 0.95/1.17 tff(f1472,plain,( 0.95/1.17 spl20_101 <=> ~$less(sK5,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_101])])). 0.95/1.17 tff(f1473,plain,( 0.95/1.17 ~$less(sK5,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6))))) | ~spl20_101), 0.95/1.17 inference(avatar_component_clause,[],[f1472])). 0.95/1.17 tff(f1474,plain,( 0.95/1.17 spl20_86 | ~spl20_101), 0.95/1.17 inference(avatar_split_clause,[],[f1468,f1472,f1418])). 0.95/1.17 tff(f1482,plain,( 0.95/1.17 $less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6))))) | nil(int) = labels(int,t2tb(sK6)) | ~spl20_32), 0.95/1.17 inference(resolution,[],[f1460,f722])). 0.95/1.17 tff(f1486,plain,( 0.95/1.17 spl20_88 <=> $less(sK0,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_88])])). 0.95/1.17 tff(f1488,plain,( 0.95/1.17 spl20_86 | spl20_88 | ~spl20_32), 0.95/1.17 inference(avatar_split_clause,[],[f1482,f430,f1486,f1418])). 0.95/1.17 tff(f1519,plain,( 0.95/1.17 $less(1,sK0) | 1 = sK0 | ~spl20_81), 0.95/1.17 inference(resolution,[],[f1295,f81])). 0.95/1.17 tff(f1520,plain,( 0.95/1.17 $less(1,sK0) | 1 = sK0 | ~spl20_81), 0.95/1.17 inference(resolution,[],[f1295,f81])). 0.95/1.17 tff(f1525,plain,( 0.95/1.17 spl20_74 <=> $less(1,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_74])])). 0.95/1.17 tff(f1526,plain,( 0.95/1.17 $less(1,sK0) | ~spl20_74), 0.95/1.17 inference(avatar_component_clause,[],[f1525])). 0.95/1.17 tff(f1527,plain,( 0.95/1.17 spl20_82 | spl20_74 | spl20_81), 0.95/1.17 inference(avatar_split_clause,[],[f1519,f1294,f1525,f1327])). 0.95/1.17 tff(f1528,plain,( 0.95/1.17 spl20_82 | spl20_74 | spl20_81), 0.95/1.17 inference(avatar_split_clause,[],[f1520,f1294,f1525,f1327])). 0.95/1.17 tff(f1601,plain,( 0.95/1.17 ~$less(sK0,$sum(1,1)) | ~spl20_74), 0.95/1.17 inference(resolution,[],[f1526,f91])). 0.95/1.17 tff(f1602,plain,( 0.95/1.17 ~$less(sK0,2) | ~spl20_74), 0.95/1.17 inference(evaluation,[],[f1601])). 0.95/1.17 tff(f1604,plain,( 0.95/1.17 spl20_85 <=> ~$less(sK0,2)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_85])])). 0.95/1.17 tff(f1605,plain,( 0.95/1.17 ~$less(sK0,2) | ~spl20_85), 0.95/1.17 inference(avatar_component_clause,[],[f1604])). 0.95/1.17 tff(f1606,plain,( 0.95/1.17 ~spl20_85 | ~spl20_74), 0.95/1.17 inference(avatar_split_clause,[],[f1602,f1525,f1604])). 0.95/1.17 tff(f1646,plain,( 0.95/1.17 $less(2,sK0) | sK0 = 2 | ~spl20_85), 0.95/1.17 inference(resolution,[],[f1605,f81])). 0.95/1.17 tff(f1647,plain,( 0.95/1.17 $less(2,sK0) | sK0 = 2 | ~spl20_85), 0.95/1.17 inference(resolution,[],[f1605,f81])). 0.95/1.17 tff(f1652,plain,( 0.95/1.17 spl20_102 <=> sK0 = 2), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_102])])). 0.95/1.17 tff(f1655,plain,( 0.95/1.17 spl20_104 <=> $less(2,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_104])])). 0.95/1.17 tff(f1657,plain,( 0.95/1.17 spl20_102 | spl20_104 | spl20_85), 0.95/1.17 inference(avatar_split_clause,[],[f1646,f1604,f1655,f1652])). 0.95/1.17 tff(f1658,plain,( 0.95/1.17 spl20_102 | spl20_104 | spl20_85), 0.95/1.17 inference(avatar_split_clause,[],[f1647,f1604,f1655,f1652])). 0.95/1.17 tff(f1743,plain,( 0.95/1.17 $less(1,sK5) | (~spl20_40 | ~spl20_82)), 0.95/1.17 inference(superposition,[],[f461,f1328])). 0.95/1.17 tff(f1744,plain,( 0.95/1.17 ~$less(sK5,1) | (~spl20_9 | ~spl20_82)), 0.95/1.17 inference(superposition,[],[f465,f1328])). 0.95/1.17 tff(f1769,plain,( 0.95/1.17 spl20_106 <=> $less(1,sK5)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_106])])). 0.95/1.17 tff(f1771,plain,( 0.95/1.17 spl20_106 | ~spl20_40 | ~spl20_82), 0.95/1.17 inference(avatar_split_clause,[],[f1743,f1327,f460,f1769])). 0.95/1.17 tff(f1773,plain,( 0.95/1.17 spl20_109 <=> ~$less(sK5,1)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_109])])). 0.95/1.17 tff(f1775,plain,( 0.95/1.17 ~spl20_109 | spl20_9 | ~spl20_82), 0.95/1.17 inference(avatar_split_clause,[],[f1744,f1327,f464,f1773])). 0.95/1.17 tff(f1781,plain,( 0.95/1.17 spl20_76 | spl20_72 | spl20_79), 0.95/1.17 inference(avatar_split_clause,[],[f1384,f1284,f1215,f1237])). 0.95/1.17 tff(f1782,plain,( 0.95/1.17 spl20_76 | spl20_72 | spl20_79), 0.95/1.17 inference(avatar_split_clause,[],[f1383,f1284,f1215,f1237])). 0.95/1.17 tff(f1783,plain,( 0.95/1.17 spl20_82 | spl20_80 | spl20_75), 0.95/1.17 inference(avatar_split_clause,[],[f1321,f1218,f1245,f1327])). 0.95/1.17 tff(f1784,plain,( 0.95/1.17 spl20_82 | spl20_80 | spl20_75), 0.95/1.17 inference(avatar_split_clause,[],[f1322,f1218,f1245,f1327])). 0.95/1.17 tff(f1891,plain,( 0.95/1.17 $less(0,sK5) | (~spl20_40 | ~spl20_76)), 0.95/1.17 inference(superposition,[],[f461,f1238])). 0.95/1.17 tff(f1892,plain,( 0.95/1.17 ~$less(sK5,0) | (~spl20_9 | ~spl20_76)), 0.95/1.17 inference(superposition,[],[f465,f1238])). 0.95/1.17 tff(f1916,plain,( 0.95/1.17 spl20_110 <=> $less(0,sK5)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_110])])). 0.95/1.17 tff(f1918,plain,( 0.95/1.17 spl20_110 | ~spl20_40 | ~spl20_76), 0.95/1.17 inference(avatar_split_clause,[],[f1891,f1237,f460,f1916])). 0.95/1.17 tff(f1920,plain,( 0.95/1.17 spl20_113 <=> ~$less(sK5,0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_113])])). 0.95/1.17 tff(f1922,plain,( 0.95/1.17 ~spl20_113 | spl20_9 | ~spl20_76), 0.95/1.17 inference(avatar_split_clause,[],[f1892,f1237,f464,f1920])). 0.95/1.17 tff(f1926,plain,( 0.95/1.17 spl20_76 | spl20_78 | spl20_73), 0.95/1.17 inference(avatar_split_clause,[],[f1232,f1211,f1240,f1237])). 0.95/1.17 tff(f1927,plain,( 0.95/1.17 spl20_76 | spl20_78 | spl20_73), 0.95/1.17 inference(avatar_split_clause,[],[f1233,f1211,f1240,f1237])). 0.95/1.17 tff(f2024,plain,( 0.95/1.17 distinct(int,sK10(int,labels(int,t2tb(sK4)))) | nil(int) = labels(int,t2tb(sK4)) | ~distinct(int,labels(int,t2tb(sK4))) | ~$less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK4)))))), 0.95/1.17 inference(resolution,[],[f936,f485])). 0.95/1.17 tff(f2025,plain,( 0.95/1.17 distinct(int,sK10(int,labels(int,t2tb(sK4)))) | nil(int) = labels(int,t2tb(sK4)) | ~distinct(int,labels(int,t2tb(sK4))) | $less(sK0,tb2t3(sK8(int,labels(int,t2tb(sK4)))))), 0.95/1.17 inference(resolution,[],[f936,f484])). 0.95/1.17 tff(f2027,plain,( 0.95/1.17 distinct(int,sK10(int,labels(int,t2tb(sK6)))) | nil(int) = labels(int,t2tb(sK6)) | ~distinct(int,labels(int,t2tb(sK6))) | ~$less(sK5,tb2t3(sK8(int,labels(int,t2tb(sK6)))))), 0.95/1.17 inference(resolution,[],[f936,f482])). 0.95/1.17 tff(f2038,plain,( 0.95/1.17 ~$less(0,$sum(sK0,1)) | ~spl20_78), 0.95/1.17 inference(resolution,[],[f1241,f91])). 0.95/1.17 tff(f2039,plain,( 0.95/1.17 ~$less($uminus(1),sK0) | ~spl20_78), 0.95/1.17 inference(evaluation,[],[f2038])). 0.95/1.17 tff(f2040,plain,( 0.95/1.17 ~$less(-1,sK0) | ~spl20_78), 0.95/1.17 inference(evaluation,[],[f2039])). 0.95/1.17 tff(f2043,plain,( 0.95/1.17 spl20_71 <=> ~$less(-1,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_71])])). 0.95/1.17 tff(f2044,plain,( 0.95/1.17 ~$less(-1,sK0) | ~spl20_71), 0.95/1.17 inference(avatar_component_clause,[],[f2043])). 0.95/1.17 tff(f2045,plain,( 0.95/1.17 ~spl20_71 | ~spl20_78), 0.95/1.17 inference(avatar_split_clause,[],[f2040,f1240,f2043])). 0.95/1.17 tff(f2047,plain,( 0.95/1.17 spl20_115 <=> ~$less(sK5,$sum(1,sK3))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_115])])). 0.95/1.17 tff(f2048,plain,( 0.95/1.17 ~$less(sK5,$sum(1,sK3)) | ~spl20_115), 0.95/1.17 inference(avatar_component_clause,[],[f2047])). 0.95/1.17 tff(f2049,plain,( 0.95/1.17 ~spl20_115 | ~spl20_28), 0.95/1.17 inference(avatar_split_clause,[],[f449,f416,f2047])). 0.95/1.17 tff(f2051,plain,( 0.95/1.17 spl20_117 <=> ~$less($sum(1,sK5),$sum(1,sK3))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_117])])). 0.95/1.17 tff(f2052,plain,( 0.95/1.17 ~$less($sum(1,sK5),$sum(1,sK3)) | ~spl20_117), 0.95/1.17 inference(avatar_component_clause,[],[f2051])). 0.95/1.17 tff(f2053,plain,( 0.95/1.17 ~spl20_117 | ~spl20_30), 0.95/1.17 inference(avatar_split_clause,[],[f511,f422,f2051])). 0.95/1.17 tff(f2055,plain,( 0.95/1.17 spl20_118 <=> ! [X16 : ty,X17 : uni] : ~$less(length(X16,X17),sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_118])])). 0.95/1.17 tff(f2058,plain,( 0.95/1.17 spl20_121 <=> ~$less(sK3,-1)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_121])])). 0.95/1.17 tff(f2059,plain,( 0.95/1.17 ~$less(sK3,-1) | ~spl20_121), 0.95/1.17 inference(avatar_component_clause,[],[f2058])). 0.95/1.17 tff(f2060,plain,( 0.95/1.17 spl20_118 | ~spl20_121 | ~spl20_36), 0.95/1.17 inference(avatar_split_clause,[],[f1365,f439,f2058,f2055])). 0.95/1.17 tff(f2068,plain,( 0.95/1.17 spl20_123 <=> ~$less($sum(1,sK3),sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_123])])). 0.95/1.17 tff(f2070,plain,( 0.95/1.17 ~spl20_123 | spl20_49 | ~spl20_56), 0.95/1.17 inference(avatar_split_clause,[],[f1047,f563,f530,f2068])). 0.95/1.17 tff(f2071,plain,( 0.95/1.17 ~spl20_123 | ~spl20_36), 0.95/1.17 inference(avatar_split_clause,[],[f906,f439,f2068])). 0.95/1.17 tff(f2073,plain,( 0.95/1.17 spl20_124 <=> $less($sum(1,sK0),$sum(1,$sum(1,sK3)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_124])])). 0.95/1.17 tff(f2074,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,$sum(1,sK3))) | ~spl20_124), 0.95/1.17 inference(avatar_component_clause,[],[f2073])). 0.95/1.17 tff(f2075,plain,( 0.95/1.17 spl20_124 | spl20_49), 0.95/1.17 inference(avatar_split_clause,[],[f707,f530,f2073])). 0.95/1.17 tff(f2077,plain,( 0.95/1.17 spl20_126 <=> $sum(1,sK0) = $sum(1,sK3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_126])])). 0.95/1.17 tff(f2079,plain,( 0.95/1.17 spl20_126 | spl20_54 | spl20_49), 0.95/1.17 inference(avatar_split_clause,[],[f699,f530,f551,f2077])). 0.95/1.17 tff(f2080,plain,( 0.95/1.17 spl20_126 | spl20_54 | spl20_49), 0.95/1.17 inference(avatar_split_clause,[],[f698,f530,f551,f2077])). 0.95/1.17 tff(f2081,plain,( 0.95/1.17 ~spl20_123 | spl20_23 | ~spl20_46), 0.95/1.17 inference(avatar_split_clause,[],[f620,f514,f399,f2068])). 0.95/1.17 tff(f2083,plain,( 0.95/1.17 distinct(int,sK10(int,labels(int,t2tb(sK6)))) | nil(int) = labels(int,t2tb(sK6)) | ~$less(sK5,tb2t3(sK8(int,labels(int,t2tb(sK6))))) | ~spl20_16), 0.95/1.17 inference(subsumption_resolution,[],[f2027,f388])). 0.95/1.17 tff(f2085,plain,( 0.95/1.17 spl20_129 <=> ~$less(sK5,tb2t3(sK8(int,labels(int,t2tb(sK6)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_129])])). 0.95/1.17 tff(f2086,plain,( 0.95/1.17 ~$less(sK5,tb2t3(sK8(int,labels(int,t2tb(sK6))))) | ~spl20_129), 0.95/1.17 inference(avatar_component_clause,[],[f2085])). 0.95/1.17 tff(f2088,plain,( 0.95/1.17 spl20_130 <=> distinct(int,sK10(int,labels(int,t2tb(sK6))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_130])])). 0.95/1.17 tff(f2090,plain,( 0.95/1.17 ~spl20_129 | spl20_86 | spl20_130 | ~spl20_16), 0.95/1.17 inference(avatar_split_clause,[],[f2083,f387,f2088,f1418,f2085])). 0.95/1.17 tff(f2094,plain,( 0.95/1.17 $less(sK3,$sum(1,$sum(1,sK3))) | (~spl20_50 | ~spl20_124)), 0.95/1.17 inference(forward_demodulation,[],[f2074,f543])). 0.95/1.17 tff(f2096,plain,( 0.95/1.17 spl20_132 <=> $less(sK3,$sum(1,$sum(1,sK3)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_132])])). 0.95/1.17 tff(f2098,plain,( 0.95/1.17 spl20_132 | ~spl20_50 | ~spl20_124), 0.95/1.17 inference(avatar_split_clause,[],[f2094,f2073,f542,f2096])). 0.95/1.17 tff(f2108,plain,( 0.95/1.17 ~$less(sK3,$sum(sK0,1)) | ~spl20_34), 0.95/1.17 inference(resolution,[],[f434,f91])). 0.95/1.17 tff(f2109,plain,( 0.95/1.17 ~$less(sK3,$sum(1,sK0)) | ~spl20_34), 0.95/1.17 inference(forward_demodulation,[],[f2108,f74])). 0.95/1.17 tff(f2111,plain,( 0.95/1.17 $less(sK3,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6))))) | nil(int) = labels(int,t2tb(sK6))), 0.95/1.17 inference(resolution,[],[f483,f722])). 0.95/1.17 tff(f2112,plain,( 0.95/1.17 $less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK6))))) | distinct(int,sK10(int,labels(int,t2tb(sK6)))) | nil(int) = labels(int,t2tb(sK6)) | ~distinct(int,labels(int,t2tb(sK6)))), 0.95/1.17 inference(resolution,[],[f483,f936])). 0.95/1.17 tff(f2113,plain,( 0.95/1.17 ( ! [X0:uni] : ($less(sK3,tb2t3(sK11(int,labels(int,t2tb(sK6)),X0))) | distinct(int,infix_plpl(int,labels(int,t2tb(sK6)),X0)) | ~distinct(int,X0) | ~distinct(int,labels(int,t2tb(sK6)))) )), 0.95/1.17 inference(resolution,[],[f483,f291])). 0.95/1.17 tff(f2116,plain,( 0.95/1.17 spl20_134 <=> $less(sK3,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_134])])). 0.95/1.17 tff(f2118,plain,( 0.95/1.17 spl20_86 | spl20_134), 0.95/1.17 inference(avatar_split_clause,[],[f2111,f2116,f1418])). 0.95/1.17 tff(f2119,plain,( 0.95/1.17 $less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK6))))) | distinct(int,sK10(int,labels(int,t2tb(sK6)))) | nil(int) = labels(int,t2tb(sK6)) | ~spl20_16), 0.95/1.17 inference(subsumption_resolution,[],[f2112,f388])). 0.95/1.17 tff(f2121,plain,( 0.95/1.17 spl20_136 <=> $less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK6)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_136])])). 0.95/1.17 tff(f2123,plain,( 0.95/1.17 spl20_86 | spl20_130 | spl20_136 | ~spl20_16), 0.95/1.17 inference(avatar_split_clause,[],[f2119,f387,f2121,f2088,f1418])). 0.95/1.17 tff(f2124,plain,( 0.95/1.17 ( ! [X0:uni] : ($less(sK3,tb2t3(sK11(int,labels(int,t2tb(sK6)),X0))) | distinct(int,infix_plpl(int,labels(int,t2tb(sK6)),X0)) | ~distinct(int,X0)) ) | ~spl20_16), 0.95/1.17 inference(subsumption_resolution,[],[f2113,f388])). 0.95/1.17 tff(f2127,plain,( 0.95/1.17 spl20_139 <=> ~$less(sK3,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_139])])). 0.95/1.17 tff(f2128,plain,( 0.95/1.17 ~$less(sK3,tb2t3(cons_proj_1(int,labels(int,t2tb(sK4))))) | ~spl20_139), 0.95/1.17 inference(avatar_component_clause,[],[f2127])). 0.95/1.17 tff(f2129,plain,( 0.95/1.17 ~spl20_139 | spl20_90), 0.95/1.17 inference(avatar_split_clause,[],[f1412,f1427,f2127])). 0.95/1.17 tff(f2130,plain,( 0.95/1.17 distinct(int,sK10(int,labels(int,t2tb(sK4)))) | nil(int) = labels(int,t2tb(sK4)) | $less(sK0,tb2t3(sK8(int,labels(int,t2tb(sK4))))) | ~spl20_20), 0.95/1.17 inference(subsumption_resolution,[],[f2025,f396])). 0.95/1.17 tff(f2132,plain,( 0.95/1.17 spl20_140 <=> $less(sK0,tb2t3(sK8(int,labels(int,t2tb(sK4)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_140])])). 0.95/1.17 tff(f2133,plain,( 0.95/1.17 $less(sK0,tb2t3(sK8(int,labels(int,t2tb(sK4))))) | ~spl20_140), 0.95/1.17 inference(avatar_component_clause,[],[f2132])). 0.95/1.17 tff(f2135,plain,( 0.95/1.17 spl20_142 <=> distinct(int,sK10(int,labels(int,t2tb(sK4))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_142])])). 0.95/1.17 tff(f2137,plain,( 0.95/1.17 spl20_140 | spl20_90 | spl20_142 | ~spl20_20), 0.95/1.17 inference(avatar_split_clause,[],[f2130,f395,f2135,f1427,f2132])). 0.95/1.17 tff(f2138,plain,( 0.95/1.17 distinct(int,sK10(int,labels(int,t2tb(sK4)))) | nil(int) = labels(int,t2tb(sK4)) | ~$less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK4))))) | ~spl20_20), 0.95/1.17 inference(subsumption_resolution,[],[f2024,f396])). 0.95/1.17 tff(f2140,plain,( 0.95/1.17 spl20_145 <=> ~$less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK4)))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_145])])). 0.95/1.17 tff(f2141,plain,( 0.95/1.17 ~$less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK4))))) | ~spl20_145), 0.95/1.17 inference(avatar_component_clause,[],[f2140])). 0.95/1.17 tff(f2142,plain,( 0.95/1.17 ~spl20_145 | spl20_90 | spl20_142 | ~spl20_20), 0.95/1.17 inference(avatar_split_clause,[],[f2138,f395,f2135,f1427,f2140])). 0.95/1.17 tff(f2156,plain,( 0.95/1.17 $less(-1,sK3) | sK3 = -1 | ~spl20_121), 0.95/1.17 inference(resolution,[],[f2059,f81])). 0.95/1.17 tff(f2157,plain,( 0.95/1.17 $less(-1,sK3) | sK3 = -1 | ~spl20_121), 0.95/1.17 inference(resolution,[],[f2059,f81])). 0.95/1.17 tff(f2158,plain,( 0.95/1.17 $less(-1,$sum(sK3,1)) | ~spl20_121), 0.95/1.17 inference(resolution,[],[f2059,f83])). 0.95/1.17 tff(f2159,plain,( 0.95/1.17 $less($sum(-1,-1),sK3) | ~spl20_121), 0.95/1.17 inference(evaluation,[],[f2158])). 0.95/1.17 tff(f2160,plain,( 0.95/1.17 $less(-2,sK3) | ~spl20_121), 0.95/1.17 inference(evaluation,[],[f2159])). 0.95/1.17 tff(f2162,plain,( 0.95/1.17 spl20_146 <=> sK3 = -1), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_146])])). 0.95/1.17 tff(f2165,plain,( 0.95/1.17 spl20_148 <=> $less(-1,sK3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_148])])). 0.95/1.17 tff(f2167,plain,( 0.95/1.17 spl20_146 | spl20_148 | spl20_121), 0.95/1.17 inference(avatar_split_clause,[],[f2156,f2058,f2165,f2162])). 0.95/1.17 tff(f2168,plain,( 0.95/1.17 spl20_146 | spl20_148 | spl20_121), 0.95/1.17 inference(avatar_split_clause,[],[f2157,f2058,f2165,f2162])). 0.95/1.17 tff(f2170,plain,( 0.95/1.17 spl20_150 <=> $less(-2,sK3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_150])])). 0.95/1.17 tff(f2172,plain,( 0.95/1.17 spl20_150 | spl20_121), 0.95/1.17 inference(avatar_split_clause,[],[f2160,f2058,f2170])). 0.95/1.17 tff(f2464,plain,( 0.95/1.17 $less(sK0,-1) | sK0 = -1 | ~spl20_71), 0.95/1.17 inference(resolution,[],[f2044,f81])). 0.95/1.17 tff(f2465,plain,( 0.95/1.17 $less(sK0,-1) | sK0 = -1 | ~spl20_71), 0.95/1.17 inference(resolution,[],[f2044,f81])). 0.95/1.17 tff(f2469,plain,( 0.95/1.17 spl20_152 <=> sK0 = -1), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_152])])). 0.95/1.17 tff(f2472,plain,( 0.95/1.17 spl20_154 <=> $less(sK0,-1)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_154])])). 0.95/1.17 tff(f2473,plain,( 0.95/1.17 $less(sK0,-1) | ~spl20_154), 0.95/1.17 inference(avatar_component_clause,[],[f2472])). 0.95/1.17 tff(f2474,plain,( 0.95/1.17 spl20_152 | spl20_154 | spl20_71), 0.95/1.17 inference(avatar_split_clause,[],[f2464,f2043,f2472,f2469])). 0.95/1.17 tff(f2475,plain,( 0.95/1.17 spl20_152 | spl20_154 | spl20_71), 0.95/1.17 inference(avatar_split_clause,[],[f2465,f2043,f2472,f2469])). 0.95/1.17 tff(f2566,plain,( 0.95/1.17 ~$less(-1,$sum(sK0,1)) | ~spl20_154), 0.95/1.17 inference(resolution,[],[f2473,f91])). 0.95/1.17 tff(f2567,plain,( 0.95/1.17 ~$less($sum(-1,-1),sK0) | ~spl20_154), 0.95/1.17 inference(evaluation,[],[f2566])). 0.95/1.17 tff(f2568,plain,( 0.95/1.17 ~$less(-2,sK0) | ~spl20_154), 0.95/1.17 inference(evaluation,[],[f2567])). 0.95/1.17 tff(f2570,plain,( 0.95/1.17 spl20_157 <=> ~$less(-2,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_157])])). 0.95/1.17 tff(f2571,plain,( 0.95/1.17 ~$less(-2,sK0) | ~spl20_157), 0.95/1.17 inference(avatar_component_clause,[],[f2570])). 0.95/1.17 tff(f2572,plain,( 0.95/1.17 ~spl20_157 | ~spl20_154), 0.95/1.17 inference(avatar_split_clause,[],[f2568,f2472,f2570])). 0.95/1.17 tff(f2672,plain,( 0.95/1.17 $less(sK0,-2) | sK0 = -2 | ~spl20_157), 0.95/1.17 inference(resolution,[],[f2571,f81])). 0.95/1.17 tff(f2673,plain,( 0.95/1.17 $less(sK0,-2) | sK0 = -2 | ~spl20_157), 0.95/1.17 inference(resolution,[],[f2571,f81])). 0.95/1.17 tff(f2677,plain,( 0.95/1.17 spl20_158 <=> sK0 = -2), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_158])])). 0.95/1.17 tff(f2680,plain,( 0.95/1.17 spl20_160 <=> $less(sK0,-2)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_160])])). 0.95/1.17 tff(f2681,plain,( 0.95/1.17 $less(sK0,-2) | ~spl20_160), 0.95/1.17 inference(avatar_component_clause,[],[f2680])). 0.95/1.17 tff(f2682,plain,( 0.95/1.17 spl20_158 | spl20_160 | spl20_157), 0.95/1.17 inference(avatar_split_clause,[],[f2672,f2570,f2680,f2677])). 0.95/1.17 tff(f2683,plain,( 0.95/1.17 spl20_158 | spl20_160 | spl20_157), 0.95/1.17 inference(avatar_split_clause,[],[f2673,f2570,f2680,f2677])). 0.95/1.17 tff(f2709,plain,( 0.95/1.17 ~$less(-2,$sum(sK0,1)) | ~spl20_160), 0.95/1.17 inference(resolution,[],[f2681,f91])). 0.95/1.17 tff(f2710,plain,( 0.95/1.17 ~$less($sum(-2,-1),sK0) | ~spl20_160), 0.95/1.17 inference(evaluation,[],[f2709])). 0.95/1.17 tff(f2711,plain,( 0.95/1.17 ~$less(-3,sK0) | ~spl20_160), 0.95/1.17 inference(evaluation,[],[f2710])). 0.95/1.17 tff(f2713,plain,( 0.95/1.17 spl20_163 <=> ~$less(-3,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_163])])). 0.95/1.17 tff(f2714,plain,( 0.95/1.17 ~$less(-3,sK0) | ~spl20_163), 0.95/1.17 inference(avatar_component_clause,[],[f2713])). 0.95/1.17 tff(f2715,plain,( 0.95/1.17 ~spl20_163 | ~spl20_160), 0.95/1.17 inference(avatar_split_clause,[],[f2711,f2680,f2713])). 0.95/1.17 tff(f2801,plain,( 0.95/1.17 $less(sK0,-3) | sK0 = -3 | ~spl20_163), 0.95/1.17 inference(resolution,[],[f2714,f81])). 0.95/1.17 tff(f2802,plain,( 0.95/1.17 $less(sK0,-3) | sK0 = -3 | ~spl20_163), 0.95/1.17 inference(resolution,[],[f2714,f81])). 0.95/1.17 tff(f2806,plain,( 0.95/1.17 spl20_164 <=> sK0 = -3), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_164])])). 0.95/1.17 tff(f2809,plain,( 0.95/1.17 spl20_166 <=> $less(sK0,-3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_166])])). 0.95/1.17 tff(f2810,plain,( 0.95/1.17 $less(sK0,-3) | ~spl20_166), 0.95/1.17 inference(avatar_component_clause,[],[f2809])). 0.95/1.17 tff(f2811,plain,( 0.95/1.17 spl20_164 | spl20_166 | spl20_163), 0.95/1.17 inference(avatar_split_clause,[],[f2801,f2713,f2809,f2806])). 0.95/1.17 tff(f2812,plain,( 0.95/1.17 spl20_164 | spl20_166 | spl20_163), 0.95/1.17 inference(avatar_split_clause,[],[f2802,f2713,f2809,f2806])). 0.95/1.17 tff(f2900,plain,( 0.95/1.17 ~$less(-3,$sum(sK0,1)) | ~spl20_166), 0.95/1.17 inference(resolution,[],[f2810,f91])). 0.95/1.17 tff(f2901,plain,( 0.95/1.17 ~$less($sum(-3,-1),sK0) | ~spl20_166), 0.95/1.17 inference(evaluation,[],[f2900])). 0.95/1.17 tff(f2902,plain,( 0.95/1.17 ~$less(-4,sK0) | ~spl20_166), 0.95/1.17 inference(evaluation,[],[f2901])). 0.95/1.17 tff(f2904,plain,( 0.95/1.17 spl20_169 <=> ~$less(-4,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_169])])). 0.95/1.17 tff(f2905,plain,( 0.95/1.17 ~$less(-4,sK0) | ~spl20_169), 0.95/1.17 inference(avatar_component_clause,[],[f2904])). 0.95/1.17 tff(f2906,plain,( 0.95/1.17 ~spl20_169 | ~spl20_166), 0.95/1.17 inference(avatar_split_clause,[],[f2902,f2809,f2904])). 0.95/1.17 tff(f3009,plain,( 0.95/1.17 $less(sK0,-4) | sK0 = -4 | ~spl20_169), 0.95/1.17 inference(resolution,[],[f2905,f81])). 0.95/1.17 tff(f3010,plain,( 0.95/1.17 $less(sK0,-4) | sK0 = -4 | ~spl20_169), 0.95/1.17 inference(resolution,[],[f2905,f81])). 0.95/1.17 tff(f3014,plain,( 0.95/1.17 spl20_170 <=> sK0 = -4), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_170])])). 0.95/1.17 tff(f3017,plain,( 0.95/1.17 spl20_172 <=> $less(sK0,-4)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_172])])). 0.95/1.17 tff(f3018,plain,( 0.95/1.17 $less(sK0,-4) | ~spl20_172), 0.95/1.17 inference(avatar_component_clause,[],[f3017])). 0.95/1.17 tff(f3019,plain,( 0.95/1.17 spl20_170 | spl20_172 | spl20_169), 0.95/1.17 inference(avatar_split_clause,[],[f3009,f2904,f3017,f3014])). 0.95/1.17 tff(f3020,plain,( 0.95/1.17 spl20_170 | spl20_172 | spl20_169), 0.95/1.17 inference(avatar_split_clause,[],[f3010,f2904,f3017,f3014])). 0.95/1.17 tff(f3165,plain,( 0.95/1.17 ~$less(-4,$sum(sK0,1)) | ~spl20_172), 0.95/1.17 inference(resolution,[],[f3018,f91])). 0.95/1.17 tff(f3166,plain,( 0.95/1.17 ~$less($sum(-4,-1),sK0) | ~spl20_172), 0.95/1.17 inference(evaluation,[],[f3165])). 0.95/1.17 tff(f3167,plain,( 0.95/1.17 ~$less(-5,sK0) | ~spl20_172), 0.95/1.17 inference(evaluation,[],[f3166])). 0.95/1.17 tff(f3169,plain,( 0.95/1.17 spl20_175 <=> ~$less(-5,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_175])])). 0.95/1.17 tff(f3170,plain,( 0.95/1.17 ~$less(-5,sK0) | ~spl20_175), 0.95/1.17 inference(avatar_component_clause,[],[f3169])). 0.95/1.17 tff(f3171,plain,( 0.95/1.17 ~spl20_175 | ~spl20_172), 0.95/1.17 inference(avatar_split_clause,[],[f3167,f3017,f3169])). 0.95/1.17 tff(f3185,plain,( 0.95/1.17 $less(sK0,-5) | sK0 = -5 | ~spl20_175), 0.95/1.17 inference(resolution,[],[f3170,f81])). 0.95/1.17 tff(f3186,plain,( 0.95/1.17 $less(sK0,-5) | sK0 = -5 | ~spl20_175), 0.95/1.17 inference(resolution,[],[f3170,f81])). 0.95/1.17 tff(f3190,plain,( 0.95/1.17 spl20_176 <=> sK0 = -5), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_176])])). 0.95/1.17 tff(f3193,plain,( 0.95/1.17 spl20_178 <=> $less(sK0,-5)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_178])])). 0.95/1.17 tff(f3194,plain,( 0.95/1.17 $less(sK0,-5) | ~spl20_178), 0.95/1.17 inference(avatar_component_clause,[],[f3193])). 0.95/1.17 tff(f3195,plain,( 0.95/1.17 spl20_176 | spl20_178 | spl20_175), 0.95/1.17 inference(avatar_split_clause,[],[f3185,f3169,f3193,f3190])). 0.95/1.17 tff(f3196,plain,( 0.95/1.17 spl20_176 | spl20_178 | spl20_175), 0.95/1.17 inference(avatar_split_clause,[],[f3186,f3169,f3193,f3190])). 0.95/1.17 tff(f3280,plain,( 0.95/1.17 ~$less(-5,$sum(sK0,1)) | ~spl20_178), 0.95/1.17 inference(resolution,[],[f3194,f91])). 0.95/1.17 tff(f3281,plain,( 0.95/1.17 ~$less($sum(-5,-1),sK0) | ~spl20_178), 0.95/1.17 inference(evaluation,[],[f3280])). 0.95/1.17 tff(f3282,plain,( 0.95/1.17 ~$less(-6,sK0) | ~spl20_178), 0.95/1.17 inference(evaluation,[],[f3281])). 0.95/1.17 tff(f3284,plain,( 0.95/1.17 spl20_181 <=> ~$less(-6,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_181])])). 0.95/1.17 tff(f3285,plain,( 0.95/1.17 ~$less(-6,sK0) | ~spl20_181), 0.95/1.17 inference(avatar_component_clause,[],[f3284])). 0.95/1.17 tff(f3286,plain,( 0.95/1.17 ~spl20_181 | ~spl20_178), 0.95/1.17 inference(avatar_split_clause,[],[f3282,f3193,f3284])). 0.95/1.17 tff(f3368,plain,( 0.95/1.17 $less(sK0,-6) | sK0 = -6 | ~spl20_181), 0.95/1.17 inference(resolution,[],[f3285,f81])). 0.95/1.17 tff(f3369,plain,( 0.95/1.17 $less(sK0,-6) | sK0 = -6 | ~spl20_181), 0.95/1.17 inference(resolution,[],[f3285,f81])). 0.95/1.17 tff(f3373,plain,( 0.95/1.17 spl20_182 <=> sK0 = -6), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_182])])). 0.95/1.17 tff(f3376,plain,( 0.95/1.17 spl20_184 <=> $less(sK0,-6)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_184])])). 0.95/1.17 tff(f3377,plain,( 0.95/1.17 $less(sK0,-6) | ~spl20_184), 0.95/1.17 inference(avatar_component_clause,[],[f3376])). 0.95/1.17 tff(f3378,plain,( 0.95/1.17 spl20_182 | spl20_184 | spl20_181), 0.95/1.17 inference(avatar_split_clause,[],[f3368,f3284,f3376,f3373])). 0.95/1.17 tff(f3379,plain,( 0.95/1.17 spl20_182 | spl20_184 | spl20_181), 0.95/1.17 inference(avatar_split_clause,[],[f3369,f3284,f3376,f3373])). 0.95/1.17 tff(f3418,plain,( 0.95/1.17 ~$less(-6,$sum(sK0,1)) | ~spl20_184), 0.95/1.17 inference(resolution,[],[f3377,f91])). 0.95/1.17 tff(f3419,plain,( 0.95/1.17 ~$less($sum(-6,-1),sK0) | ~spl20_184), 0.95/1.17 inference(evaluation,[],[f3418])). 0.95/1.17 tff(f3420,plain,( 0.95/1.17 ~$less(-7,sK0) | ~spl20_184), 0.95/1.17 inference(evaluation,[],[f3419])). 0.95/1.17 tff(f3422,plain,( 0.95/1.17 spl20_187 <=> ~$less(-7,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_187])])). 0.95/1.17 tff(f3423,plain,( 0.95/1.17 ~$less(-7,sK0) | ~spl20_187), 0.95/1.17 inference(avatar_component_clause,[],[f3422])). 0.95/1.17 tff(f3424,plain,( 0.95/1.17 ~spl20_187 | ~spl20_184), 0.95/1.17 inference(avatar_split_clause,[],[f3420,f3376,f3422])). 0.95/1.17 tff(f3496,plain,( 0.95/1.17 $less(sK0,-7) | sK0 = -7 | ~spl20_187), 0.95/1.17 inference(resolution,[],[f3423,f81])). 0.95/1.17 tff(f3497,plain,( 0.95/1.17 $less(sK0,-7) | sK0 = -7 | ~spl20_187), 0.95/1.17 inference(resolution,[],[f3423,f81])). 0.95/1.17 tff(f3501,plain,( 0.95/1.17 spl20_188 <=> sK0 = -7), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_188])])). 0.95/1.17 tff(f3504,plain,( 0.95/1.17 spl20_190 <=> $less(sK0,-7)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_190])])). 0.95/1.17 tff(f3505,plain,( 0.95/1.17 $less(sK0,-7) | ~spl20_190), 0.95/1.17 inference(avatar_component_clause,[],[f3504])). 0.95/1.17 tff(f3506,plain,( 0.95/1.17 spl20_188 | spl20_190 | spl20_187), 0.95/1.17 inference(avatar_split_clause,[],[f3496,f3422,f3504,f3501])). 0.95/1.17 tff(f3507,plain,( 0.95/1.17 spl20_188 | spl20_190 | spl20_187), 0.95/1.17 inference(avatar_split_clause,[],[f3497,f3422,f3504,f3501])). 0.95/1.17 tff(f3640,plain,( 0.95/1.17 ~$less(-7,$sum(sK0,1)) | ~spl20_190), 0.95/1.17 inference(resolution,[],[f3505,f91])). 0.95/1.17 tff(f3641,plain,( 0.95/1.17 ~$less($sum(-7,-1),sK0) | ~spl20_190), 0.95/1.17 inference(evaluation,[],[f3640])). 0.95/1.17 tff(f3642,plain,( 0.95/1.17 ~$less(-8,sK0) | ~spl20_190), 0.95/1.17 inference(evaluation,[],[f3641])). 0.95/1.17 tff(f3644,plain,( 0.95/1.17 spl20_193 <=> ~$less(-8,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_193])])). 0.95/1.17 tff(f3645,plain,( 0.95/1.17 ~$less(-8,sK0) | ~spl20_193), 0.95/1.17 inference(avatar_component_clause,[],[f3644])). 0.95/1.17 tff(f3646,plain,( 0.95/1.17 ~spl20_193 | ~spl20_190), 0.95/1.17 inference(avatar_split_clause,[],[f3642,f3504,f3644])). 0.95/1.17 tff(f3693,plain,( 0.95/1.17 $less(sK0,-8) | sK0 = -8 | ~spl20_193), 0.95/1.17 inference(resolution,[],[f3645,f81])). 0.95/1.17 tff(f3694,plain,( 0.95/1.17 $less(sK0,-8) | sK0 = -8 | ~spl20_193), 0.95/1.17 inference(resolution,[],[f3645,f81])). 0.95/1.17 tff(f3698,plain,( 0.95/1.17 spl20_194 <=> sK0 = -8), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_194])])). 0.95/1.17 tff(f3701,plain,( 0.95/1.17 spl20_196 <=> $less(sK0,-8)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_196])])). 0.95/1.17 tff(f3702,plain,( 0.95/1.17 $less(sK0,-8) | ~spl20_196), 0.95/1.17 inference(avatar_component_clause,[],[f3701])). 0.95/1.17 tff(f3703,plain,( 0.95/1.17 spl20_194 | spl20_196 | spl20_193), 0.95/1.17 inference(avatar_split_clause,[],[f3693,f3644,f3701,f3698])). 0.95/1.17 tff(f3704,plain,( 0.95/1.17 spl20_194 | spl20_196 | spl20_193), 0.95/1.17 inference(avatar_split_clause,[],[f3694,f3644,f3701,f3698])). 0.95/1.17 tff(f3768,plain,( 0.95/1.17 ~$less(-8,$sum(sK0,1)) | ~spl20_196), 0.95/1.17 inference(resolution,[],[f3702,f91])). 0.95/1.17 tff(f3769,plain,( 0.95/1.17 ~$less($sum(-8,-1),sK0) | ~spl20_196), 0.95/1.17 inference(evaluation,[],[f3768])). 0.95/1.17 tff(f3770,plain,( 0.95/1.17 ~$less(-9,sK0) | ~spl20_196), 0.95/1.17 inference(evaluation,[],[f3769])). 0.95/1.17 tff(f3772,plain,( 0.95/1.17 spl20_199 <=> ~$less(-9,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_199])])). 0.95/1.17 tff(f3773,plain,( 0.95/1.17 ~$less(-9,sK0) | ~spl20_199), 0.95/1.17 inference(avatar_component_clause,[],[f3772])). 0.95/1.17 tff(f3774,plain,( 0.95/1.17 ~spl20_199 | ~spl20_196), 0.95/1.17 inference(avatar_split_clause,[],[f3770,f3701,f3772])). 0.95/1.17 tff(f3836,plain,( 0.95/1.17 $less(sK0,-9) | sK0 = -9 | ~spl20_199), 0.95/1.17 inference(resolution,[],[f3773,f81])). 0.95/1.17 tff(f3837,plain,( 0.95/1.17 $less(sK0,-9) | sK0 = -9 | ~spl20_199), 0.95/1.17 inference(resolution,[],[f3773,f81])). 0.95/1.17 tff(f3841,plain,( 0.95/1.17 spl20_200 <=> sK0 = -9), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_200])])). 0.95/1.17 tff(f3844,plain,( 0.95/1.17 spl20_202 <=> $less(sK0,-9)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_202])])). 0.95/1.17 tff(f3845,plain,( 0.95/1.17 $less(sK0,-9) | ~spl20_202), 0.95/1.17 inference(avatar_component_clause,[],[f3844])). 0.95/1.17 tff(f3846,plain,( 0.95/1.17 spl20_200 | spl20_202 | spl20_199), 0.95/1.17 inference(avatar_split_clause,[],[f3836,f3772,f3844,f3841])). 0.95/1.17 tff(f3847,plain,( 0.95/1.17 spl20_200 | spl20_202 | spl20_199), 0.95/1.17 inference(avatar_split_clause,[],[f3837,f3772,f3844,f3841])). 0.95/1.17 tff(f3916,plain,( 0.95/1.17 ~$less(-9,$sum(sK0,1)) | ~spl20_202), 0.95/1.17 inference(resolution,[],[f3845,f91])). 0.95/1.17 tff(f3917,plain,( 0.95/1.17 ~$less($sum(-9,-1),sK0) | ~spl20_202), 0.95/1.17 inference(evaluation,[],[f3916])). 0.95/1.17 tff(f3918,plain,( 0.95/1.17 ~$less(-10,sK0) | ~spl20_202), 0.95/1.17 inference(evaluation,[],[f3917])). 0.95/1.17 tff(f3920,plain,( 0.95/1.17 spl20_205 <=> ~$less(-10,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_205])])). 0.95/1.17 tff(f3921,plain,( 0.95/1.17 ~$less(-10,sK0) | ~spl20_205), 0.95/1.17 inference(avatar_component_clause,[],[f3920])). 0.95/1.17 tff(f3922,plain,( 0.95/1.17 ~spl20_205 | ~spl20_202), 0.95/1.17 inference(avatar_split_clause,[],[f3918,f3844,f3920])). 0.95/1.17 tff(f3984,plain,( 0.95/1.17 $less(sK0,-10) | sK0 = -10 | ~spl20_205), 0.95/1.17 inference(resolution,[],[f3921,f81])). 0.95/1.17 tff(f3985,plain,( 0.95/1.17 $less(sK0,-10) | sK0 = -10 | ~spl20_205), 0.95/1.17 inference(resolution,[],[f3921,f81])). 0.95/1.17 tff(f3989,plain,( 0.95/1.17 spl20_206 <=> sK0 = -10), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_206])])). 0.95/1.17 tff(f3992,plain,( 0.95/1.17 spl20_208 <=> $less(sK0,-10)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_208])])). 0.95/1.17 tff(f3993,plain,( 0.95/1.17 $less(sK0,-10) | ~spl20_208), 0.95/1.17 inference(avatar_component_clause,[],[f3992])). 0.95/1.17 tff(f3994,plain,( 0.95/1.17 spl20_206 | spl20_208 | spl20_205), 0.95/1.17 inference(avatar_split_clause,[],[f3984,f3920,f3992,f3989])). 0.95/1.17 tff(f3995,plain,( 0.95/1.17 spl20_206 | spl20_208 | spl20_205), 0.95/1.17 inference(avatar_split_clause,[],[f3985,f3920,f3992,f3989])). 0.95/1.17 tff(f4057,plain,( 0.95/1.17 ~$less(-10,$sum(sK0,1)) | ~spl20_208), 0.95/1.17 inference(resolution,[],[f3993,f91])). 0.95/1.17 tff(f4058,plain,( 0.95/1.17 ~$less($sum(-10,-1),sK0) | ~spl20_208), 0.95/1.17 inference(evaluation,[],[f4057])). 0.95/1.17 tff(f4059,plain,( 0.95/1.17 ~$less(-11,sK0) | ~spl20_208), 0.95/1.17 inference(evaluation,[],[f4058])). 0.95/1.17 tff(f4061,plain,( 0.95/1.17 spl20_211 <=> ~$less(-11,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_211])])). 0.95/1.17 tff(f4062,plain,( 0.95/1.17 ~$less(-11,sK0) | ~spl20_211), 0.95/1.17 inference(avatar_component_clause,[],[f4061])). 0.95/1.17 tff(f4063,plain,( 0.95/1.17 ~spl20_211 | ~spl20_208), 0.95/1.17 inference(avatar_split_clause,[],[f4059,f3992,f4061])). 0.95/1.17 tff(f4195,plain,( 0.95/1.17 $less(sK0,-11) | sK0 = -11 | ~spl20_211), 0.95/1.17 inference(resolution,[],[f4062,f81])). 0.95/1.17 tff(f4196,plain,( 0.95/1.17 $less(sK0,-11) | sK0 = -11 | ~spl20_211), 0.95/1.17 inference(resolution,[],[f4062,f81])). 0.95/1.17 tff(f4200,plain,( 0.95/1.17 spl20_212 <=> sK0 = -11), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_212])])). 0.95/1.17 tff(f4203,plain,( 0.95/1.17 spl20_214 <=> $less(sK0,-11)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_214])])). 0.95/1.17 tff(f4204,plain,( 0.95/1.17 $less(sK0,-11) | ~spl20_214), 0.95/1.17 inference(avatar_component_clause,[],[f4203])). 0.95/1.17 tff(f4205,plain,( 0.95/1.17 spl20_212 | spl20_214 | spl20_211), 0.95/1.17 inference(avatar_split_clause,[],[f4195,f4061,f4203,f4200])). 0.95/1.17 tff(f4206,plain,( 0.95/1.17 spl20_212 | spl20_214 | spl20_211), 0.95/1.17 inference(avatar_split_clause,[],[f4196,f4061,f4203,f4200])). 0.95/1.17 tff(f4367,plain,( 0.95/1.17 ~$less(-11,$sum(sK0,1)) | ~spl20_214), 0.95/1.17 inference(resolution,[],[f4204,f91])). 0.95/1.17 tff(f4368,plain,( 0.95/1.17 ~$less($sum(-11,-1),sK0) | ~spl20_214), 0.95/1.17 inference(evaluation,[],[f4367])). 0.95/1.17 tff(f4369,plain,( 0.95/1.17 ~$less(-12,sK0) | ~spl20_214), 0.95/1.17 inference(evaluation,[],[f4368])). 0.95/1.17 tff(f4371,plain,( 0.95/1.17 spl20_217 <=> ~$less(-12,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_217])])). 0.95/1.17 tff(f4372,plain,( 0.95/1.17 ~$less(-12,sK0) | ~spl20_217), 0.95/1.17 inference(avatar_component_clause,[],[f4371])). 0.95/1.17 tff(f4373,plain,( 0.95/1.17 ~spl20_217 | ~spl20_214), 0.95/1.17 inference(avatar_split_clause,[],[f4369,f4203,f4371])). 0.95/1.17 tff(f4517,plain,( 0.95/1.17 $less(sK0,-12) | sK0 = -12 | ~spl20_217), 0.95/1.17 inference(resolution,[],[f4372,f81])). 0.95/1.17 tff(f4518,plain,( 0.95/1.17 $less(sK0,-12) | sK0 = -12 | ~spl20_217), 0.95/1.17 inference(resolution,[],[f4372,f81])). 0.95/1.17 tff(f4522,plain,( 0.95/1.17 spl20_218 <=> sK0 = -12), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_218])])). 0.95/1.17 tff(f4525,plain,( 0.95/1.17 spl20_220 <=> $less(sK0,-12)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_220])])). 0.95/1.17 tff(f4526,plain,( 0.95/1.17 $less(sK0,-12) | ~spl20_220), 0.95/1.17 inference(avatar_component_clause,[],[f4525])). 0.95/1.17 tff(f4527,plain,( 0.95/1.17 spl20_218 | spl20_220 | spl20_217), 0.95/1.17 inference(avatar_split_clause,[],[f4517,f4371,f4525,f4522])). 0.95/1.17 tff(f4528,plain,( 0.95/1.17 spl20_218 | spl20_220 | spl20_217), 0.95/1.17 inference(avatar_split_clause,[],[f4518,f4371,f4525,f4522])). 0.95/1.17 tff(f4595,plain,( 0.95/1.17 ~$less(-12,$sum(sK0,1)) | ~spl20_220), 0.95/1.17 inference(resolution,[],[f4526,f91])). 0.95/1.17 tff(f4596,plain,( 0.95/1.17 ~$less($sum(-12,-1),sK0) | ~spl20_220), 0.95/1.17 inference(evaluation,[],[f4595])). 0.95/1.17 tff(f4597,plain,( 0.95/1.17 ~$less(-13,sK0) | ~spl20_220), 0.95/1.17 inference(evaluation,[],[f4596])). 0.95/1.17 tff(f4599,plain,( 0.95/1.17 spl20_223 <=> ~$less(-13,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_223])])). 0.95/1.17 tff(f4600,plain,( 0.95/1.17 ~$less(-13,sK0) | ~spl20_223), 0.95/1.17 inference(avatar_component_clause,[],[f4599])). 0.95/1.17 tff(f4601,plain,( 0.95/1.17 ~spl20_223 | ~spl20_220), 0.95/1.17 inference(avatar_split_clause,[],[f4597,f4525,f4599])). 0.95/1.17 tff(f4659,plain,( 0.95/1.17 $less(sK0,-13) | sK0 = -13 | ~spl20_223), 0.95/1.17 inference(resolution,[],[f4600,f81])). 0.95/1.17 tff(f4660,plain,( 0.95/1.17 $less(sK0,-13) | sK0 = -13 | ~spl20_223), 0.95/1.17 inference(resolution,[],[f4600,f81])). 0.95/1.17 tff(f4664,plain,( 0.95/1.17 spl20_224 <=> sK0 = -13), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_224])])). 0.95/1.17 tff(f4667,plain,( 0.95/1.17 spl20_226 <=> $less(sK0,-13)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_226])])). 0.95/1.17 tff(f4668,plain,( 0.95/1.17 $less(sK0,-13) | ~spl20_226), 0.95/1.17 inference(avatar_component_clause,[],[f4667])). 0.95/1.17 tff(f4669,plain,( 0.95/1.17 spl20_224 | spl20_226 | spl20_223), 0.95/1.17 inference(avatar_split_clause,[],[f4659,f4599,f4667,f4664])). 0.95/1.17 tff(f4670,plain,( 0.95/1.17 spl20_224 | spl20_226 | spl20_223), 0.95/1.17 inference(avatar_split_clause,[],[f4660,f4599,f4667,f4664])). 0.95/1.17 tff(f4925,plain,( 0.95/1.17 ~$less(-13,$sum(sK0,1)) | ~spl20_226), 0.95/1.17 inference(resolution,[],[f4668,f91])). 0.95/1.17 tff(f4926,plain,( 0.95/1.17 ~$less($sum(-13,-1),sK0) | ~spl20_226), 0.95/1.17 inference(evaluation,[],[f4925])). 0.95/1.17 tff(f4927,plain,( 0.95/1.17 ~$less(-14,sK0) | ~spl20_226), 0.95/1.17 inference(evaluation,[],[f4926])). 0.95/1.17 tff(f4929,plain,( 0.95/1.17 spl20_229 <=> ~$less(-14,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_229])])). 0.95/1.17 tff(f4930,plain,( 0.95/1.17 ~$less(-14,sK0) | ~spl20_229), 0.95/1.17 inference(avatar_component_clause,[],[f4929])). 0.95/1.17 tff(f4931,plain,( 0.95/1.17 ~spl20_229 | ~spl20_226), 0.95/1.17 inference(avatar_split_clause,[],[f4927,f4667,f4929])). 0.95/1.17 tff(f4995,plain,( 0.95/1.17 $less(sK0,-14) | sK0 = -14 | ~spl20_229), 0.95/1.17 inference(resolution,[],[f4930,f81])). 0.95/1.17 tff(f4996,plain,( 0.95/1.17 $less(sK0,-14) | sK0 = -14 | ~spl20_229), 0.95/1.17 inference(resolution,[],[f4930,f81])). 0.95/1.17 tff(f5000,plain,( 0.95/1.17 spl20_230 <=> sK0 = -14), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_230])])). 0.95/1.17 tff(f5003,plain,( 0.95/1.17 spl20_232 <=> $less(sK0,-14)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_232])])). 0.95/1.17 tff(f5004,plain,( 0.95/1.17 $less(sK0,-14) | ~spl20_232), 0.95/1.17 inference(avatar_component_clause,[],[f5003])). 0.95/1.17 tff(f5005,plain,( 0.95/1.17 spl20_230 | spl20_232 | spl20_229), 0.95/1.17 inference(avatar_split_clause,[],[f4995,f4929,f5003,f5000])). 0.95/1.17 tff(f5006,plain,( 0.95/1.17 spl20_230 | spl20_232 | spl20_229), 0.95/1.17 inference(avatar_split_clause,[],[f4996,f4929,f5003,f5000])). 0.95/1.17 tff(f5065,plain,( 0.95/1.17 ~$less(-14,$sum(sK0,1)) | ~spl20_232), 0.95/1.17 inference(resolution,[],[f5004,f91])). 0.95/1.17 tff(f5066,plain,( 0.95/1.17 ~$less($sum(-14,-1),sK0) | ~spl20_232), 0.95/1.17 inference(evaluation,[],[f5065])). 0.95/1.17 tff(f5067,plain,( 0.95/1.17 ~$less(-15,sK0) | ~spl20_232), 0.95/1.17 inference(evaluation,[],[f5066])). 0.95/1.17 tff(f5069,plain,( 0.95/1.17 spl20_235 <=> ~$less(-15,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_235])])). 0.95/1.17 tff(f5070,plain,( 0.95/1.17 ~$less(-15,sK0) | ~spl20_235), 0.95/1.17 inference(avatar_component_clause,[],[f5069])). 0.95/1.17 tff(f5071,plain,( 0.95/1.17 ~spl20_235 | ~spl20_232), 0.95/1.17 inference(avatar_split_clause,[],[f5067,f5003,f5069])). 0.95/1.17 tff(f5150,plain,( 0.95/1.17 $less(sK0,-15) | sK0 = -15 | ~spl20_235), 0.95/1.17 inference(resolution,[],[f5070,f81])). 0.95/1.17 tff(f5151,plain,( 0.95/1.17 $less(sK0,-15) | sK0 = -15 | ~spl20_235), 0.95/1.17 inference(resolution,[],[f5070,f81])). 0.95/1.17 tff(f5155,plain,( 0.95/1.17 spl20_236 <=> sK0 = -15), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_236])])). 0.95/1.17 tff(f5158,plain,( 0.95/1.17 spl20_238 <=> $less(sK0,-15)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_238])])). 0.95/1.17 tff(f5159,plain,( 0.95/1.17 $less(sK0,-15) | ~spl20_238), 0.95/1.17 inference(avatar_component_clause,[],[f5158])). 0.95/1.17 tff(f5160,plain,( 0.95/1.17 spl20_236 | spl20_238 | spl20_235), 0.95/1.17 inference(avatar_split_clause,[],[f5150,f5069,f5158,f5155])). 0.95/1.17 tff(f5161,plain,( 0.95/1.17 spl20_236 | spl20_238 | spl20_235), 0.95/1.17 inference(avatar_split_clause,[],[f5151,f5069,f5158,f5155])). 0.95/1.17 tff(f5198,plain,( 0.95/1.17 $less($sum(1,sK0),sK5) | $sum(1,sK0) = sK5 | ~spl20_39), 0.95/1.17 inference(resolution,[],[f453,f81])). 0.95/1.17 tff(f5199,plain,( 0.95/1.17 $less($sum(1,sK0),sK5) | $sum(1,sK0) = sK5 | ~spl20_39), 0.95/1.17 inference(resolution,[],[f453,f81])). 0.95/1.17 tff(f5200,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(sK5,1)) | ~spl20_39), 0.95/1.17 inference(resolution,[],[f453,f83])). 0.95/1.17 tff(f5202,plain,( 0.95/1.17 $less(sK3,sK5) | $sum(1,sK0) = sK5 | (~spl20_39 | ~spl20_50)), 0.95/1.17 inference(forward_demodulation,[],[f5198,f543])). 0.95/1.17 tff(f5203,plain,( 0.95/1.17 $less(sK3,sK5) | $sum(1,sK0) = sK5 | (~spl20_39 | ~spl20_50)), 0.95/1.17 inference(forward_demodulation,[],[f5199,f543])). 0.95/1.17 tff(f5204,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,sK5)) | ~spl20_39), 0.95/1.17 inference(forward_demodulation,[],[f5200,f74])). 0.95/1.17 tff(f5209,plain,( 0.95/1.17 $less(sK0,$sum($sum(1,sK5),1)) | ~spl20_95), 0.95/1.17 inference(resolution,[],[f1439,f83])). 0.95/1.17 tff(f5210,plain,( 0.95/1.17 $less(sK0,$sum(1,$sum(1,sK5))) | ~spl20_95), 0.95/1.17 inference(forward_demodulation,[],[f5209,f74])). 0.95/1.17 tff(f5212,plain,( 0.95/1.17 spl20_240 <=> $less(sK0,$sum(1,$sum(1,sK5)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_240])])). 0.95/1.17 tff(f5214,plain,( 0.95/1.17 spl20_240 | spl20_95), 0.95/1.17 inference(avatar_split_clause,[],[f5210,f1438,f5212])). 0.95/1.17 tff(f5224,plain,( 0.95/1.17 ~$less(-15,$sum(sK0,1)) | ~spl20_238), 0.95/1.17 inference(resolution,[],[f5159,f91])). 0.95/1.17 tff(f5225,plain,( 0.95/1.17 ~$less($sum(-15,-1),sK0) | ~spl20_238), 0.95/1.17 inference(evaluation,[],[f5224])). 0.95/1.17 tff(f5226,plain,( 0.95/1.17 ~$less(-16,sK0) | ~spl20_238), 0.95/1.17 inference(evaluation,[],[f5225])). 0.95/1.17 tff(f5228,plain,( 0.95/1.17 spl20_243 <=> ~$less(-16,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_243])])). 0.95/1.17 tff(f5229,plain,( 0.95/1.17 ~$less(-16,sK0) | ~spl20_243), 0.95/1.17 inference(avatar_component_clause,[],[f5228])). 0.95/1.17 tff(f5230,plain,( 0.95/1.17 ~spl20_243 | ~spl20_238), 0.95/1.17 inference(avatar_split_clause,[],[f5226,f5158,f5228])). 0.95/1.17 tff(f5233,plain,( 0.95/1.17 $less($sum(1,sK3),sK5) | $sum(1,sK3) = sK5 | ~spl20_115), 0.95/1.17 inference(resolution,[],[f2048,f81])). 0.95/1.17 tff(f5234,plain,( 0.95/1.17 $less($sum(1,sK3),sK5) | $sum(1,sK3) = sK5 | ~spl20_115), 0.95/1.17 inference(resolution,[],[f2048,f81])). 0.95/1.17 tff(f5235,plain,( 0.95/1.17 $less($sum(1,sK3),$sum(sK5,1)) | ~spl20_115), 0.95/1.17 inference(resolution,[],[f2048,f83])). 0.95/1.17 tff(f5237,plain,( 0.95/1.17 spl20_244 <=> $sum(1,sK3) = sK5), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_244])])). 0.95/1.17 tff(f5240,plain,( 0.95/1.17 spl20_246 <=> $less($sum(1,sK3),sK5)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_246])])). 0.95/1.17 tff(f5242,plain,( 0.95/1.17 spl20_244 | spl20_246 | spl20_115), 0.95/1.17 inference(avatar_split_clause,[],[f5233,f2047,f5240,f5237])). 0.95/1.17 tff(f5243,plain,( 0.95/1.17 spl20_244 | spl20_246 | spl20_115), 0.95/1.17 inference(avatar_split_clause,[],[f5234,f2047,f5240,f5237])). 0.95/1.17 tff(f5244,plain,( 0.95/1.17 $less($sum(1,sK3),$sum(1,sK5)) | ~spl20_115), 0.95/1.17 inference(forward_demodulation,[],[f5235,f74])). 0.95/1.17 tff(f5246,plain,( 0.95/1.17 spl20_248 <=> $less($sum(1,sK3),$sum(1,sK5))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_248])])). 0.95/1.17 tff(f5248,plain,( 0.95/1.17 spl20_248 | spl20_115), 0.95/1.17 inference(avatar_split_clause,[],[f5244,f2047,f5246])). 0.95/1.17 tff(f5252,plain,( 0.95/1.17 sK3 = sK5 | $less(sK3,sK5) | (~spl20_39 | ~spl20_50)), 0.95/1.17 inference(forward_demodulation,[],[f5203,f543])). 0.95/1.17 tff(f5253,plain,( 0.95/1.17 spl20_28 | spl20_26 | spl20_39 | ~spl20_50), 0.95/1.17 inference(avatar_split_clause,[],[f5252,f542,f452,f413,f416])). 0.95/1.17 tff(f5254,plain,( 0.95/1.17 sK3 = sK5 | $less(sK3,sK5) | (~spl20_39 | ~spl20_50)), 0.95/1.17 inference(forward_demodulation,[],[f5202,f543])). 0.95/1.17 tff(f5255,plain,( 0.95/1.17 spl20_28 | spl20_26 | spl20_39 | ~spl20_50), 0.95/1.17 inference(avatar_split_clause,[],[f5254,f542,f452,f413,f416])). 0.95/1.17 tff(f5266,plain,( 0.95/1.17 spl20_251 <=> ~$less($sum(1,sK3),sK3)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_251])])). 0.95/1.17 tff(f5268,plain,( 0.95/1.17 ~spl20_251 | ~spl20_26 | ~spl20_30), 0.95/1.17 inference(avatar_split_clause,[],[f851,f422,f413,f5266])). 0.95/1.17 tff(f5286,plain,( 0.95/1.17 ~$less(sK3,$sum(1,sK0)) | (~spl20_26 | ~spl20_39)), 0.95/1.17 inference(superposition,[],[f453,f414])). 0.95/1.17 tff(f5320,plain,( 0.95/1.17 $less(sK0,-16) | sK0 = -16 | ~spl20_243), 0.95/1.17 inference(resolution,[],[f5229,f81])). 0.95/1.17 tff(f5321,plain,( 0.95/1.17 $less(sK0,-16) | sK0 = -16 | ~spl20_243), 0.95/1.17 inference(resolution,[],[f5229,f81])). 0.95/1.17 tff(f5325,plain,( 0.95/1.17 spl20_252 <=> sK0 = -16), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_252])])). 0.95/1.17 tff(f5328,plain,( 0.95/1.17 spl20_254 <=> $less(sK0,-16)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_254])])). 0.95/1.17 tff(f5329,plain,( 0.95/1.17 $less(sK0,-16) | ~spl20_254), 0.95/1.17 inference(avatar_component_clause,[],[f5328])). 0.95/1.17 tff(f5330,plain,( 0.95/1.17 spl20_252 | spl20_254 | spl20_243), 0.95/1.17 inference(avatar_split_clause,[],[f5320,f5228,f5328,f5325])). 0.95/1.17 tff(f5331,plain,( 0.95/1.17 spl20_252 | spl20_254 | spl20_243), 0.95/1.17 inference(avatar_split_clause,[],[f5321,f5228,f5328,f5325])). 0.95/1.17 tff(f5342,plain,( 0.95/1.17 ~$less(sK3,$sum(sK0,1)) | ~spl20_34), 0.95/1.17 inference(resolution,[],[f475,f91])). 0.95/1.17 tff(f5347,plain,( 0.95/1.17 $less(0,$sum(sK3,$uminus(sK0))) | ~spl20_34), 0.95/1.17 inference(superposition,[],[f475,f78])). 0.95/1.17 tff(f5351,plain,( 0.95/1.17 $less($sum(sK0,$uminus(sK3)),0) | ~spl20_34), 0.95/1.17 inference(superposition,[],[f475,f78])). 0.95/1.17 tff(f5357,plain,( 0.95/1.17 ~$less(sK3,$sum(1,sK0)) | ~spl20_34), 0.95/1.17 inference(forward_demodulation,[],[f5342,f74])). 0.95/1.17 tff(f5363,plain,( 0.95/1.17 spl20_256 <=> $less(0,$sum(sK3,$uminus(sK0)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_256])])). 0.95/1.17 tff(f5365,plain,( 0.95/1.17 spl20_256 | ~spl20_34), 0.95/1.17 inference(avatar_split_clause,[],[f5347,f433,f5363])). 0.95/1.17 tff(f5367,plain,( 0.95/1.17 spl20_258 <=> $less($sum(sK0,$uminus(sK3)),0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_258])])). 0.95/1.17 tff(f5369,plain,( 0.95/1.17 spl20_258 | ~spl20_34), 0.95/1.17 inference(avatar_split_clause,[],[f5351,f433,f5367])). 0.95/1.17 tff(f5375,plain,( 0.95/1.17 ( ! [X4:uni] : (infix_plpl(int,nil(int),labels(int,X4)) = labels(int,node(int,t2tb(sK6),X4))) ) | ~spl20_86), 0.95/1.17 inference(superposition,[],[f244,f1419])). 0.95/1.17 tff(f5386,plain,( 0.95/1.17 ( ! [X4:uni] : (labels(int,X4) = labels(int,node(int,t2tb(sK6),X4))) ) | ~spl20_86), 0.95/1.17 inference(forward_demodulation,[],[f5375,f259])). 0.95/1.17 tff(f5404,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,sK5)) | $sum(1,sK0) = $sum(1,sK5) | ~spl20_99), 0.95/1.17 inference(resolution,[],[f1452,f81])). 0.95/1.17 tff(f5405,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,sK5)) | $sum(1,sK0) = $sum(1,sK5) | ~spl20_99), 0.95/1.17 inference(resolution,[],[f1452,f81])). 0.95/1.17 tff(f5406,plain,( 0.95/1.17 $less($sum(1,sK0),$sum($sum(1,sK5),1)) | ~spl20_99), 0.95/1.17 inference(resolution,[],[f1452,f83])). 0.95/1.17 tff(f5411,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,$sum(1,sK5))) | ~spl20_99), 0.95/1.17 inference(forward_demodulation,[],[f5406,f74])). 0.95/1.17 tff(f5412,plain,( 0.95/1.17 $less($sum(1,sK0),$sum(1,$sum(1,sK3))) | (~spl20_26 | ~spl20_99)), 0.95/1.17 inference(forward_demodulation,[],[f5411,f414])). 0.95/1.17 tff(f5417,plain,( 0.95/1.17 ~$less(-16,$sum(sK0,1)) | ~spl20_254), 0.95/1.17 inference(resolution,[],[f5329,f91])). 0.95/1.17 tff(f5418,plain,( 0.95/1.17 ~$less($sum(-16,-1),sK0) | ~spl20_254), 0.95/1.17 inference(evaluation,[],[f5417])). 0.95/1.17 tff(f5419,plain,( 0.95/1.17 ~$less(-17,sK0) | ~spl20_254), 0.95/1.17 inference(evaluation,[],[f5418])). 0.95/1.17 tff(f5421,plain,( 0.95/1.17 spl20_261 <=> ~$less(-17,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_261])])). 0.95/1.17 tff(f5422,plain,( 0.95/1.17 ~$less(-17,sK0) | ~spl20_261), 0.95/1.17 inference(avatar_component_clause,[],[f5421])). 0.95/1.17 tff(f5423,plain,( 0.95/1.17 ~spl20_261 | ~spl20_254), 0.95/1.17 inference(avatar_split_clause,[],[f5419,f5328,f5421])). 0.95/1.17 tff(f5426,plain,( 0.95/1.17 $less($sum(1,sK3),$sum(1,sK5)) | $sum(1,sK3) = $sum(1,sK5) | ~spl20_117), 0.95/1.17 inference(resolution,[],[f2052,f81])). 0.95/1.17 tff(f5427,plain,( 0.95/1.17 $less($sum(1,sK3),$sum(1,sK5)) | $sum(1,sK3) = $sum(1,sK5) | ~spl20_117), 0.95/1.17 inference(resolution,[],[f2052,f81])). 0.95/1.17 tff(f5428,plain,( 0.95/1.17 $less($sum(1,sK3),$sum($sum(1,sK5),1)) | ~spl20_117), 0.95/1.17 inference(resolution,[],[f2052,f83])). 0.95/1.17 tff(f5435,plain,( 0.95/1.17 $less($sum(1,sK3),$sum(1,$sum(1,sK5))) | ~spl20_117), 0.95/1.17 inference(forward_demodulation,[],[f5428,f74])). 0.95/1.17 tff(f5436,plain,( 0.95/1.17 $less($sum(1,sK3),$sum(1,$sum(1,sK3))) | (~spl20_26 | ~spl20_117)), 0.95/1.17 inference(forward_demodulation,[],[f5435,f414])). 0.95/1.17 tff(f5438,plain,( 0.95/1.17 spl20_262 <=> $less($sum(1,sK3),$sum(1,$sum(1,sK3)))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_262])])). 0.95/1.17 tff(f5440,plain,( 0.95/1.17 spl20_262 | ~spl20_26 | spl20_117), 0.95/1.17 inference(avatar_split_clause,[],[f5436,f2051,f413,f5438])). 0.95/1.17 tff(f5441,plain,( 0.95/1.17 ~$less($sum(1,sK5),sK3) | ~spl20_30), 0.95/1.17 inference(resolution,[],[f502,f79])). 0.95/1.17 tff(f5446,plain,( 0.95/1.17 ( ! [X8:uni,X7:ty] : (~$less(length(X7,X8),sK3) | ~$less($sum(1,sK5),0)) ) | ~spl20_30), 0.95/1.17 inference(resolution,[],[f502,f517])). 0.95/1.17 tff(f5455,plain,( 0.95/1.17 ( ! [X8:uni,X7:ty] : (~$less(length(X7,X8),sK3) | ~$less(sK5,$uminus(1))) ) | ~spl20_30), 0.95/1.17 inference(evaluation,[],[f5446])). 0.95/1.17 tff(f5456,plain,( 0.95/1.17 ( ! [X8:uni,X7:ty] : (~$less(length(X7,X8),sK3) | ~$less(sK5,-1)) ) | ~spl20_30), 0.95/1.17 inference(evaluation,[],[f5455])). 0.95/1.17 tff(f5498,plain,( 0.95/1.17 $less(sK0,-17) | sK0 = -17 | ~spl20_261), 0.95/1.17 inference(resolution,[],[f5422,f81])). 0.95/1.17 tff(f5499,plain,( 0.95/1.17 $less(sK0,-17) | sK0 = -17 | ~spl20_261), 0.95/1.17 inference(resolution,[],[f5422,f81])). 0.95/1.17 tff(f5503,plain,( 0.95/1.17 spl20_264 <=> sK0 = -17), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_264])])). 0.95/1.17 tff(f5506,plain,( 0.95/1.17 spl20_266 <=> $less(sK0,-17)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_266])])). 0.95/1.17 tff(f5507,plain,( 0.95/1.17 $less(sK0,-17) | ~spl20_266), 0.95/1.17 inference(avatar_component_clause,[],[f5506])). 0.95/1.17 tff(f5508,plain,( 0.95/1.17 spl20_264 | spl20_266 | spl20_261), 0.95/1.17 inference(avatar_split_clause,[],[f5498,f5421,f5506,f5503])). 0.95/1.17 tff(f5509,plain,( 0.95/1.17 spl20_264 | spl20_266 | spl20_261), 0.95/1.17 inference(avatar_split_clause,[],[f5499,f5421,f5506,f5503])). 0.95/1.17 tff(f5522,plain,( 0.95/1.17 $less(0,$sum(1,$sum(sK5,$uminus(sK3)))) | ~spl20_30), 0.95/1.17 inference(superposition,[],[f509,f78])). 0.95/1.17 tff(f5527,plain,( 0.95/1.17 $less($sum(sK3,$uminus(sK5)),$sum(1,0)) | ~spl20_30), 0.95/1.17 inference(superposition,[],[f509,f78])). 0.95/1.17 tff(f5532,plain,( 0.95/1.17 $less($sum(sK3,$uminus(sK5)),1) | ~spl20_30), 0.95/1.17 inference(evaluation,[],[f5527])). 0.95/1.17 tff(f5554,plain,( 0.95/1.17 $less(0,$sum(1,$sum(sK3,$uminus(sK0)))) | ~spl20_36), 0.95/1.17 inference(superposition,[],[f527,f78])). 0.95/1.17 tff(f5558,plain,( 0.95/1.17 $less($sum(sK0,$uminus(sK3)),$sum(1,0)) | ~spl20_36), 0.95/1.17 inference(superposition,[],[f527,f78])). 0.95/1.17 tff(f5563,plain,( 0.95/1.17 $less($sum(sK0,$uminus(sK3)),1) | ~spl20_36), 0.95/1.17 inference(evaluation,[],[f5558])). 0.95/1.17 tff(f5570,plain,( 0.95/1.17 spl20_268 <=> $less(0,$sum(1,$sum(sK3,$uminus(sK0))))), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_268])])). 0.95/1.17 tff(f5572,plain,( 0.95/1.17 spl20_268 | ~spl20_36), 0.95/1.17 inference(avatar_split_clause,[],[f5554,f439,f5570])). 0.95/1.17 tff(f5574,plain,( 0.95/1.17 spl20_270 <=> $less($sum(sK0,$uminus(sK3)),1)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_270])])). 0.95/1.17 tff(f5576,plain,( 0.95/1.17 spl20_270 | ~spl20_36), 0.95/1.17 inference(avatar_split_clause,[],[f5563,f439,f5574])). 0.95/1.17 tff(f5595,plain,( 0.95/1.17 ~$less(-17,$sum(sK0,1)) | ~spl20_266), 0.95/1.17 inference(resolution,[],[f5507,f91])). 0.95/1.17 tff(f5596,plain,( 0.95/1.17 ~$less($sum(-17,-1),sK0) | ~spl20_266), 0.95/1.17 inference(evaluation,[],[f5595])). 0.95/1.17 tff(f5597,plain,( 0.95/1.17 ~$less(-18,sK0) | ~spl20_266), 0.95/1.17 inference(evaluation,[],[f5596])). 0.95/1.17 tff(f5599,plain,( 0.95/1.17 spl20_273 <=> ~$less(-18,sK0)), 0.95/1.17 introduced(avatar_definition,[new_symbols(naming,[spl20_273])])). 0.95/1.18 tff(f5600,plain,( 0.95/1.18 ~$less(-18,sK0) | ~spl20_273), 0.95/1.18 inference(avatar_component_clause,[],[f5599])). 0.95/1.18 tff(f5601,plain,( 0.95/1.18 ~spl20_273 | ~spl20_266), 0.95/1.18 inference(avatar_split_clause,[],[f5597,f5506,f5599])). 0.95/1.18 tff(f5629,plain,( 0.95/1.18 ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),$sum(sK0,1)) | ~spl20_92), 0.95/1.18 inference(resolution,[],[f1435,f91])). 0.95/1.18 tff(f5630,plain,( 0.95/1.18 ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),$sum(1,sK0)) | ~spl20_92), 0.95/1.18 inference(forward_demodulation,[],[f5629,f74])). 0.95/1.18 tff(f5631,plain,( 0.95/1.18 ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK3) | (~spl20_50 | ~spl20_92)), 0.95/1.18 inference(forward_demodulation,[],[f5630,f543])). 0.95/1.18 tff(f5633,plain,( 0.95/1.18 spl20_275 <=> ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_275])])). 0.95/1.18 tff(f5634,plain,( 0.95/1.18 ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK3) | ~spl20_275), 0.95/1.18 inference(avatar_component_clause,[],[f5633])). 0.95/1.18 tff(f5635,plain,( 0.95/1.18 ~spl20_275 | ~spl20_50 | ~spl20_92), 0.95/1.18 inference(avatar_split_clause,[],[f5631,f1434,f542,f5633])). 0.95/1.18 tff(f5637,plain,( 0.95/1.18 $less(sK0,-18) | sK0 = -18 | ~spl20_273), 0.95/1.18 inference(resolution,[],[f5600,f81])). 0.95/1.18 tff(f5638,plain,( 0.95/1.18 $less(sK0,-18) | sK0 = -18 | ~spl20_273), 0.95/1.18 inference(resolution,[],[f5600,f81])). 0.95/1.18 tff(f5642,plain,( 0.95/1.18 spl20_276 <=> sK0 = -18), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_276])])). 0.95/1.18 tff(f5645,plain,( 0.95/1.18 spl20_278 <=> $less(sK0,-18)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_278])])). 0.95/1.18 tff(f5646,plain,( 0.95/1.18 $less(sK0,-18) | ~spl20_278), 0.95/1.18 inference(avatar_component_clause,[],[f5645])). 0.95/1.18 tff(f5647,plain,( 0.95/1.18 spl20_276 | spl20_278 | spl20_273), 0.95/1.18 inference(avatar_split_clause,[],[f5637,f5599,f5645,f5642])). 0.95/1.18 tff(f5648,plain,( 0.95/1.18 spl20_276 | spl20_278 | spl20_273), 0.95/1.18 inference(avatar_split_clause,[],[f5638,f5599,f5645,f5642])). 0.95/1.18 tff(f5650,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),sK5) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | ~spl20_101), 0.95/1.18 inference(resolution,[],[f1473,f81])). 0.95/1.18 tff(f5651,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),sK5) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | ~spl20_101), 0.95/1.18 inference(resolution,[],[f1473,f81])). 0.95/1.18 tff(f5652,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),$sum(sK5,1)) | ~spl20_101), 0.95/1.18 inference(resolution,[],[f1473,f83])). 0.95/1.18 tff(f5653,plain,( 0.95/1.18 ~$less(sK3,tb2t3(cons_proj_1(int,labels(int,t2tb(sK6))))) | (~spl20_26 | ~spl20_101)), 0.95/1.18 inference(superposition,[],[f1473,f414])). 0.95/1.18 tff(f5654,plain,( 0.95/1.18 ~$less(sK5,tb2t3(cons_proj_1(int,nil(int)))) | (~spl20_86 | ~spl20_101)), 0.95/1.18 inference(superposition,[],[f1473,f1419])). 0.95/1.18 tff(f5657,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),sK3) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5650,f414])). 0.95/1.18 tff(f5658,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,nil(int))),sK3) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5657,f1419])). 0.95/1.18 tff(f5659,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK3 | $less(tb2t3(cons_proj_1(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5658,f414])). 0.95/1.18 tff(f5660,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,nil(int))) = sK3 | $less(tb2t3(cons_proj_1(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5659,f1419])). 0.95/1.18 tff(f5662,plain,( 0.95/1.18 spl20_280 <=> $less(tb2t3(cons_proj_1(int,nil(int))),sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_280])])). 0.95/1.18 tff(f5665,plain,( 0.95/1.18 spl20_282 <=> tb2t3(cons_proj_1(int,nil(int))) = sK3), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_282])])). 0.95/1.18 tff(f5667,plain,( 0.95/1.18 spl20_280 | spl20_282 | ~spl20_26 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5660,f1472,f1418,f413,f5665,f5662])). 0.95/1.18 tff(f5668,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),sK3) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5651,f414])). 0.95/1.18 tff(f5669,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,nil(int))),sK3) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5668,f1419])). 0.95/1.18 tff(f5670,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK3 | $less(tb2t3(cons_proj_1(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5669,f414])). 0.95/1.18 tff(f5671,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,nil(int))) = sK3 | $less(tb2t3(cons_proj_1(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5670,f1419])). 0.95/1.18 tff(f5672,plain,( 0.95/1.18 spl20_280 | spl20_282 | ~spl20_26 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5671,f1472,f1418,f413,f5665,f5662])). 0.95/1.18 tff(f5673,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),$sum(1,sK5)) | ~spl20_101), 0.95/1.18 inference(forward_demodulation,[],[f5652,f74])). 0.95/1.18 tff(f5674,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),$sum(1,sK3)) | (~spl20_26 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5673,f414])). 0.95/1.18 tff(f5675,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,nil(int))),$sum(1,sK3)) | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5674,f1419])). 0.95/1.18 tff(f5677,plain,( 0.95/1.18 spl20_284 <=> $less(tb2t3(cons_proj_1(int,nil(int))),$sum(1,sK3))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_284])])). 0.95/1.18 tff(f5679,plain,( 0.95/1.18 spl20_284 | ~spl20_26 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5675,f1472,f1418,f413,f5677])). 0.95/1.18 tff(f5680,plain,( 0.95/1.18 ~$less(sK3,tb2t3(cons_proj_1(int,nil(int)))) | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5653,f1419])). 0.95/1.18 tff(f5682,plain,( 0.95/1.18 spl20_287 <=> ~$less(sK3,tb2t3(cons_proj_1(int,nil(int))))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_287])])). 0.95/1.18 tff(f5684,plain,( 0.95/1.18 ~spl20_287 | ~spl20_26 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5680,f1472,f1418,f413,f5682])). 0.95/1.18 tff(f5685,plain,( 0.95/1.18 ~$less(sK3,tb2t3(cons_proj_1(int,nil(int)))) | (~spl20_26 | ~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5654,f414])). 0.95/1.18 tff(f5686,plain,( 0.95/1.18 ~spl20_287 | ~spl20_26 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5685,f1472,f1418,f413,f5682])). 0.95/1.18 tff(f5688,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),sK5) | tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK5 | ~spl20_129), 0.95/1.18 inference(resolution,[],[f2086,f81])). 0.95/1.18 tff(f5689,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),sK5) | tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK5 | ~spl20_129), 0.95/1.18 inference(resolution,[],[f2086,f81])). 0.95/1.18 tff(f5690,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),$sum(sK5,1)) | ~spl20_129), 0.95/1.18 inference(resolution,[],[f2086,f83])). 0.95/1.18 tff(f5691,plain,( 0.95/1.18 ~$less(sK3,tb2t3(sK8(int,labels(int,t2tb(sK6))))) | (~spl20_26 | ~spl20_129)), 0.95/1.18 inference(superposition,[],[f2086,f414])). 0.95/1.18 tff(f5692,plain,( 0.95/1.18 ~$less(sK5,tb2t3(sK8(int,nil(int)))) | (~spl20_86 | ~spl20_129)), 0.95/1.18 inference(superposition,[],[f2086,f1419])). 0.95/1.18 tff(f5697,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),sK3) | tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5688,f414])). 0.95/1.18 tff(f5698,plain,( 0.95/1.18 $less(tb2t3(sK8(int,nil(int))),sK3) | tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5697,f1419])). 0.95/1.18 tff(f5699,plain,( 0.95/1.18 tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK3 | $less(tb2t3(sK8(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5698,f414])). 0.95/1.18 tff(f5700,plain,( 0.95/1.18 tb2t3(sK8(int,nil(int))) = sK3 | $less(tb2t3(sK8(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5699,f1419])). 0.95/1.18 tff(f5702,plain,( 0.95/1.18 spl20_288 <=> $less(tb2t3(sK8(int,nil(int))),sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_288])])). 0.95/1.18 tff(f5705,plain,( 0.95/1.18 spl20_290 <=> tb2t3(sK8(int,nil(int))) = sK3), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_290])])). 0.95/1.18 tff(f5707,plain,( 0.95/1.18 spl20_288 | spl20_290 | ~spl20_26 | ~spl20_86 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5700,f2085,f1418,f413,f5705,f5702])). 0.95/1.18 tff(f5708,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),sK3) | tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5689,f414])). 0.95/1.18 tff(f5709,plain,( 0.95/1.18 $less(tb2t3(sK8(int,nil(int))),sK3) | tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5708,f1419])). 0.95/1.18 tff(f5710,plain,( 0.95/1.18 tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK3 | $less(tb2t3(sK8(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5709,f414])). 0.95/1.18 tff(f5711,plain,( 0.95/1.18 tb2t3(sK8(int,nil(int))) = sK3 | $less(tb2t3(sK8(int,nil(int))),sK3) | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5710,f1419])). 0.95/1.18 tff(f5712,plain,( 0.95/1.18 spl20_288 | spl20_290 | ~spl20_26 | ~spl20_86 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5711,f2085,f1418,f413,f5705,f5702])). 0.95/1.18 tff(f5713,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),$sum(1,sK5)) | ~spl20_129), 0.95/1.18 inference(forward_demodulation,[],[f5690,f74])). 0.95/1.18 tff(f5714,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),$sum(1,sK3)) | (~spl20_26 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5713,f414])). 0.95/1.18 tff(f5715,plain,( 0.95/1.18 $less(tb2t3(sK8(int,nil(int))),$sum(1,sK3)) | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5714,f1419])). 0.95/1.18 tff(f5717,plain,( 0.95/1.18 spl20_292 <=> $less(tb2t3(sK8(int,nil(int))),$sum(1,sK3))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_292])])). 0.95/1.18 tff(f5719,plain,( 0.95/1.18 spl20_292 | ~spl20_26 | ~spl20_86 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5715,f2085,f1418,f413,f5717])). 0.95/1.18 tff(f5720,plain,( 0.95/1.18 ~$less(sK3,tb2t3(sK8(int,nil(int)))) | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5691,f1419])). 0.95/1.18 tff(f5722,plain,( 0.95/1.18 spl20_295 <=> ~$less(sK3,tb2t3(sK8(int,nil(int))))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_295])])). 0.95/1.18 tff(f5724,plain,( 0.95/1.18 ~spl20_295 | ~spl20_26 | ~spl20_86 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5720,f2085,f1418,f413,f5722])). 0.95/1.18 tff(f5725,plain,( 0.95/1.18 ~$less(sK3,tb2t3(sK8(int,nil(int)))) | (~spl20_26 | ~spl20_86 | ~spl20_129)), 0.95/1.18 inference(forward_demodulation,[],[f5692,f414])). 0.95/1.18 tff(f5726,plain,( 0.95/1.18 ~spl20_295 | ~spl20_26 | ~spl20_86 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5725,f2085,f1418,f413,f5722])). 0.95/1.18 tff(f5728,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK3) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))) = sK3 | ~spl20_139), 0.95/1.18 inference(resolution,[],[f2128,f81])). 0.95/1.18 tff(f5729,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK3) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))) = sK3 | ~spl20_139), 0.95/1.18 inference(resolution,[],[f2128,f81])). 0.95/1.18 tff(f5730,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),$sum(sK3,1)) | ~spl20_139), 0.95/1.18 inference(resolution,[],[f2128,f83])). 0.95/1.18 tff(f5731,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))) = sK3 | (~spl20_139 | ~spl20_275)), 0.95/1.18 inference(subsumption_resolution,[],[f5728,f5634])). 0.95/1.18 tff(f5733,plain,( 0.95/1.18 spl20_296 <=> tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))) = sK3), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_296])])). 0.95/1.18 tff(f5735,plain,( 0.95/1.18 spl20_296 | spl20_139 | spl20_275), 0.95/1.18 inference(avatar_split_clause,[],[f5731,f5633,f2127,f5733])). 0.95/1.18 tff(f5736,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))) = sK3 | (~spl20_139 | ~spl20_275)), 0.95/1.18 inference(subsumption_resolution,[],[f5729,f5634])). 0.95/1.18 tff(f5737,plain,( 0.95/1.18 spl20_296 | spl20_139 | spl20_275), 0.95/1.18 inference(avatar_split_clause,[],[f5736,f5633,f2127,f5733])). 0.95/1.18 tff(f5738,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),$sum(1,sK3)) | ~spl20_139), 0.95/1.18 inference(forward_demodulation,[],[f5730,f74])). 0.95/1.18 tff(f5740,plain,( 0.95/1.18 spl20_298 <=> $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),$sum(1,sK3))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_298])])). 0.95/1.18 tff(f5742,plain,( 0.95/1.18 spl20_298 | spl20_139), 0.95/1.18 inference(avatar_split_clause,[],[f5738,f2127,f5740])). 0.95/1.18 tff(f5744,plain,( 0.95/1.18 spl20_301 <=> ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),$sum(1,sK0))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_301])])). 0.95/1.18 tff(f5746,plain,( 0.95/1.18 ~spl20_301 | ~spl20_92), 0.95/1.18 inference(avatar_split_clause,[],[f5630,f1434,f5744])). 0.95/1.18 tff(f5747,plain,( 0.95/1.18 spl20_124 | ~spl20_26 | spl20_99), 0.95/1.18 inference(avatar_split_clause,[],[f5412,f1451,f413,f2073])). 0.95/1.18 tff(f5748,plain,( 0.95/1.18 ~spl20_45 | ~spl20_34), 0.95/1.18 inference(avatar_split_clause,[],[f5357,f433,f479])). 0.95/1.18 tff(f5749,plain,( 0.95/1.18 ~spl20_45 | ~spl20_26 | spl20_39), 0.95/1.18 inference(avatar_split_clause,[],[f5286,f452,f413,f479])). 0.95/1.18 tff(f5751,plain,( 0.95/1.18 $less($sum(1,sK0),sK3) | $sum(1,sK0) = sK5 | (~spl20_26 | ~spl20_39)), 0.95/1.18 inference(forward_demodulation,[],[f5199,f414])). 0.95/1.18 tff(f5752,plain,( 0.95/1.18 $sum(1,sK0) = sK3 | $less($sum(1,sK0),sK3) | (~spl20_26 | ~spl20_39)), 0.95/1.18 inference(forward_demodulation,[],[f5751,f414])). 0.95/1.18 tff(f5753,plain,( 0.95/1.18 spl20_52 | spl20_50 | ~spl20_26 | spl20_39), 0.95/1.18 inference(avatar_split_clause,[],[f5752,f452,f413,f542,f545])). 0.95/1.18 tff(f5754,plain,( 0.95/1.18 $less($sum(1,sK0),sK3) | $sum(1,sK0) = sK5 | (~spl20_26 | ~spl20_39)), 0.95/1.18 inference(forward_demodulation,[],[f5198,f414])). 0.95/1.18 tff(f5755,plain,( 0.95/1.18 $sum(1,sK0) = sK3 | $less($sum(1,sK0),sK3) | (~spl20_26 | ~spl20_39)), 0.95/1.18 inference(forward_demodulation,[],[f5754,f414])). 0.95/1.18 tff(f5756,plain,( 0.95/1.18 spl20_52 | spl20_50 | ~spl20_26 | spl20_39), 0.95/1.18 inference(avatar_split_clause,[],[f5755,f452,f413,f542,f545])). 0.95/1.18 tff(f5758,plain,( 0.95/1.18 ~spl20_45 | ~spl20_34), 0.95/1.18 inference(avatar_split_clause,[],[f2109,f433,f479])). 0.95/1.18 tff(f5759,plain,( 0.95/1.18 ~spl20_45 | ~spl20_34), 0.95/1.18 inference(avatar_split_clause,[],[f477,f433,f479])). 0.95/1.18 tff(f5760,plain,( 0.95/1.18 spl20_50 | spl20_52 | spl20_45), 0.95/1.18 inference(avatar_split_clause,[],[f538,f479,f545,f542])). 0.95/1.18 tff(f5761,plain,( 0.95/1.18 spl20_50 | spl20_52 | spl20_45), 0.95/1.18 inference(avatar_split_clause,[],[f539,f479,f545,f542])). 0.95/1.18 tff(f5763,plain,( 0.95/1.18 spl20_274 <=> $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_274])])). 0.95/1.18 tff(f5765,plain,( 0.95/1.18 spl20_296 | spl20_274 | spl20_139), 0.95/1.18 inference(avatar_split_clause,[],[f5729,f2127,f5763,f5733])). 0.95/1.18 tff(f5766,plain,( 0.95/1.18 spl20_296 | spl20_274 | spl20_139), 0.95/1.18 inference(avatar_split_clause,[],[f5728,f2127,f5763,f5733])). 0.95/1.18 tff(f5775,plain,( 0.95/1.18 ~$less(-18,$sum(sK0,1)) | ~spl20_278), 0.95/1.18 inference(resolution,[],[f5646,f91])). 0.95/1.18 tff(f5776,plain,( 0.95/1.18 ~$less($sum(-18,-1),sK0) | ~spl20_278), 0.95/1.18 inference(evaluation,[],[f5775])). 0.95/1.18 tff(f5777,plain,( 0.95/1.18 ~$less(-19,sK0) | ~spl20_278), 0.95/1.18 inference(evaluation,[],[f5776])). 0.95/1.18 tff(f5779,plain,( 0.95/1.18 spl20_303 <=> ~$less(-19,sK0)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_303])])). 0.95/1.18 tff(f5780,plain,( 0.95/1.18 ~$less(-19,sK0) | ~spl20_303), 0.95/1.18 inference(avatar_component_clause,[],[f5779])). 0.95/1.18 tff(f5781,plain,( 0.95/1.18 ~spl20_303 | ~spl20_278), 0.95/1.18 inference(avatar_split_clause,[],[f5777,f5645,f5779])). 0.95/1.18 tff(f5797,plain,( 0.95/1.18 ~$less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),$sum(sK0,1)) | ~spl20_140), 0.95/1.18 inference(resolution,[],[f2133,f91])). 0.95/1.18 tff(f5800,plain,( 0.95/1.18 ~$less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),$sum(1,sK0)) | ~spl20_140), 0.95/1.18 inference(forward_demodulation,[],[f5797,f74])). 0.95/1.18 tff(f5802,plain,( 0.95/1.18 spl20_305 <=> ~$less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),$sum(1,sK0))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_305])])). 0.95/1.18 tff(f5804,plain,( 0.95/1.18 ~spl20_305 | ~spl20_140), 0.95/1.18 inference(avatar_split_clause,[],[f5800,f2132,f5802])). 0.95/1.18 tff(f5806,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),sK3) | tb2t3(sK8(int,labels(int,t2tb(sK4)))) = sK3 | ~spl20_145), 0.95/1.18 inference(resolution,[],[f2141,f81])). 0.95/1.18 tff(f5807,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),sK3) | tb2t3(sK8(int,labels(int,t2tb(sK4)))) = sK3 | ~spl20_145), 0.95/1.18 inference(resolution,[],[f2141,f81])). 0.95/1.18 tff(f5808,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),$sum(sK3,1)) | ~spl20_145), 0.95/1.18 inference(resolution,[],[f2141,f83])). 0.95/1.18 tff(f5812,plain,( 0.95/1.18 spl20_306 <=> tb2t3(sK8(int,labels(int,t2tb(sK4)))) = sK3), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_306])])). 0.95/1.18 tff(f5815,plain,( 0.95/1.18 spl20_308 <=> $less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_308])])). 0.95/1.18 tff(f5817,plain,( 0.95/1.18 spl20_306 | spl20_308 | spl20_145), 0.95/1.18 inference(avatar_split_clause,[],[f5806,f2140,f5815,f5812])). 0.95/1.18 tff(f5818,plain,( 0.95/1.18 spl20_306 | spl20_308 | spl20_145), 0.95/1.18 inference(avatar_split_clause,[],[f5807,f2140,f5815,f5812])). 0.95/1.18 tff(f5819,plain,( 0.95/1.18 $less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),$sum(1,sK3)) | ~spl20_145), 0.95/1.18 inference(forward_demodulation,[],[f5808,f74])). 0.95/1.18 tff(f5821,plain,( 0.95/1.18 spl20_310 <=> $less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),$sum(1,sK3))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_310])])). 0.95/1.18 tff(f5823,plain,( 0.95/1.18 spl20_310 | spl20_145), 0.95/1.18 inference(avatar_split_clause,[],[f5819,f2140,f5821])). 0.95/1.18 tff(f5826,plain,( 0.95/1.18 $less(sK0,-19) | sK0 = -19 | ~spl20_303), 0.95/1.18 inference(resolution,[],[f5780,f81])). 0.95/1.18 tff(f5827,plain,( 0.95/1.18 $less(sK0,-19) | sK0 = -19 | ~spl20_303), 0.95/1.18 inference(resolution,[],[f5780,f81])). 0.95/1.18 tff(f5831,plain,( 0.95/1.18 spl20_312 <=> sK0 = -19), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_312])])). 0.95/1.18 tff(f5834,plain,( 0.95/1.18 spl20_314 <=> $less(sK0,-19)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_314])])). 0.95/1.18 tff(f5836,plain,( 0.95/1.18 spl20_312 | spl20_314 | spl20_303), 0.95/1.18 inference(avatar_split_clause,[],[f5826,f5779,f5834,f5831])). 0.95/1.18 tff(f5837,plain,( 0.95/1.18 spl20_312 | spl20_314 | spl20_303), 0.95/1.18 inference(avatar_split_clause,[],[f5827,f5779,f5834,f5831])). 0.95/1.18 tff(f5878,plain,( 0.95/1.18 ~$less($sum(1,sK5),0) | ~$less(0,sK3) | ~spl20_30), 0.95/1.18 inference(resolution,[],[f1358,f502])). 0.95/1.18 tff(f5879,plain,( 0.95/1.18 ~$less(sK5,$uminus(1)) | ~$less(0,sK3) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f5878])). 0.95/1.18 tff(f5880,plain,( 0.95/1.18 ~$less(sK5,-1) | ~$less(0,sK3) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f5879])). 0.95/1.18 tff(f5888,plain,( 0.95/1.18 ~$less(sK3,-1) | ~$less(0,sK3) | (~spl20_26 | ~spl20_30)), 0.95/1.18 inference(forward_demodulation,[],[f5880,f414])). 0.95/1.18 tff(f5890,plain,( 0.95/1.18 spl20_317 <=> ~$less(0,sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_317])])). 0.95/1.18 tff(f5891,plain,( 0.95/1.18 ~$less(0,sK3) | ~spl20_317), 0.95/1.18 inference(avatar_component_clause,[],[f5890])). 0.95/1.18 tff(f5892,plain,( 0.95/1.18 ~spl20_317 | ~spl20_121 | ~spl20_26 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f5888,f422,f413,f2058,f5890])). 0.95/1.18 tff(f5894,plain,( 0.95/1.18 $less(sK3,0) | 0 = sK3 | ~spl20_317), 0.95/1.18 inference(resolution,[],[f5891,f81])). 0.95/1.18 tff(f5895,plain,( 0.95/1.18 $less(sK3,0) | 0 = sK3 | ~spl20_317), 0.95/1.18 inference(resolution,[],[f5891,f81])). 0.95/1.18 tff(f5896,plain,( 0.95/1.18 $less(sK3,$sum(0,1)) | ~spl20_317), 0.95/1.18 inference(resolution,[],[f5891,f83])). 0.95/1.18 tff(f5897,plain,( 0.95/1.18 $less(sK3,1) | ~spl20_317), 0.95/1.18 inference(evaluation,[],[f5896])). 0.95/1.18 tff(f5899,plain,( 0.95/1.18 spl20_318 <=> 0 = sK3), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_318])])). 0.95/1.18 tff(f5902,plain,( 0.95/1.18 spl20_320 <=> $less(sK3,0)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_320])])). 0.95/1.18 tff(f5904,plain,( 0.95/1.18 spl20_318 | spl20_320 | spl20_317), 0.95/1.18 inference(avatar_split_clause,[],[f5894,f5890,f5902,f5899])). 0.95/1.18 tff(f5905,plain,( 0.95/1.18 spl20_318 | spl20_320 | spl20_317), 0.95/1.18 inference(avatar_split_clause,[],[f5895,f5890,f5902,f5899])). 0.95/1.18 tff(f5907,plain,( 0.95/1.18 spl20_322 <=> $less(sK3,1)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_322])])). 0.95/1.18 tff(f5909,plain,( 0.95/1.18 spl20_322 | spl20_317), 0.95/1.18 inference(avatar_split_clause,[],[f5897,f5890,f5907])). 0.95/1.18 tff(f5919,plain,( 0.95/1.18 ( ! [X21:ty,X22:uni] : (~$less($sum(1,sK3),-1) | $less(sK0,length(X21,X22))) ) | ~spl20_36), 0.95/1.18 inference(resolution,[],[f1311,f524])). 0.95/1.18 tff(f5922,plain,( 0.95/1.18 ( ! [X28:uni,X27:ty] : (~$less($sum(1,sK5),-1) | $less(sK3,length(X27,X28))) ) | ~spl20_30), 0.95/1.18 inference(resolution,[],[f1311,f503])). 0.95/1.18 tff(f5926,plain,( 0.95/1.18 ( ! [X39:ty,X38:$int,X40:uni] : (~$less(sK3,-1) | ~$less(X38,sK0) | ~$less(length(X39,X40),X38)) ) | ~spl20_23), 0.95/1.18 inference(resolution,[],[f1311,f621])). 0.95/1.18 tff(f5927,plain,( 0.95/1.18 ( ! [X41:ty,X42:uni] : (~$less(sK3,-1) | $less(sK0,length(X41,X42))) ) | ~spl20_34), 0.95/1.18 inference(resolution,[],[f1311,f474])). 0.95/1.18 tff(f5928,plain,( 0.95/1.18 ( ! [X43:ty,X44:uni] : (~$less(sK3,-1) | ~$less(length(X43,X44),sK0)) ) | ~spl20_23), 0.95/1.18 inference(resolution,[],[f1311,f425])). 0.95/1.18 tff(f5929,plain,( 0.95/1.18 ( ! [X47:uni,X45:$int,X46:ty] : (~$less(sK5,-1) | ~$less(X45,sK3) | ~$less(length(X46,X47),X45)) ) | ~spl20_15), 0.95/1.18 inference(resolution,[],[f1311,f592])). 0.95/1.18 tff(f5930,plain,( 0.95/1.18 ( ! [X48:ty,X49:uni] : (~$less(sK5,-1) | ~$less(length(X48,X49),sK3)) ) | ~spl20_15), 0.95/1.18 inference(resolution,[],[f1311,f408])). 0.95/1.18 tff(f5934,plain,( 0.95/1.18 ( ! [X28:uni,X27:ty] : (~$less(sK5,$sum(-1,-1)) | $less(sK3,length(X27,X28))) ) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f5922])). 0.95/1.18 tff(f5935,plain,( 0.95/1.18 ( ! [X28:uni,X27:ty] : (~$less(sK5,-2) | $less(sK3,length(X27,X28))) ) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f5934])). 0.95/1.18 tff(f5940,plain,( 0.95/1.18 ( ! [X21:ty,X22:uni] : (~$less(sK3,$sum(-1,-1)) | $less(sK0,length(X21,X22))) ) | ~spl20_36), 0.95/1.18 inference(evaluation,[],[f5919])). 0.95/1.18 tff(f5941,plain,( 0.95/1.18 ( ! [X21:ty,X22:uni] : (~$less(sK3,-2) | $less(sK0,length(X21,X22))) ) | ~spl20_36), 0.95/1.18 inference(evaluation,[],[f5940])). 0.95/1.18 tff(f5943,plain,( 0.95/1.18 spl20_324 <=> ! [X22 : uni,X21 : ty] : $less(sK0,length(X21,X22))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_324])])). 0.95/1.18 tff(f5946,plain,( 0.95/1.18 spl20_327 <=> ~$less(sK3,-2)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_327])])). 0.95/1.18 tff(f5948,plain,( 0.95/1.18 spl20_324 | ~spl20_327 | ~spl20_36), 0.95/1.18 inference(avatar_split_clause,[],[f5941,f439,f5946,f5943])). 0.95/1.18 tff(f5955,plain,( 0.95/1.18 spl20_328 <=> ! [X49 : uni,X48 : ty] : ~$less(length(X48,X49),sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_328])])). 0.95/1.18 tff(f5958,plain,( 0.95/1.18 spl20_331 <=> ~$less(sK5,-1)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_331])])). 0.95/1.18 tff(f5959,plain,( 0.95/1.18 ~$less(sK5,-1) | ~spl20_331), 0.95/1.18 inference(avatar_component_clause,[],[f5958])). 0.95/1.18 tff(f5960,plain,( 0.95/1.18 spl20_328 | ~spl20_331 | spl20_15), 0.95/1.18 inference(avatar_split_clause,[],[f5930,f383,f5958,f5955])). 0.95/1.18 tff(f5962,plain,( 0.95/1.18 spl20_332 <=> ! [X46 : ty,X45 : $int,X47 : uni] : (~$less(X45,sK3) | ~$less(length(X46,X47),X45))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_332])])). 0.95/1.18 tff(f5964,plain,( 0.95/1.18 spl20_332 | ~spl20_331 | spl20_15), 0.95/1.18 inference(avatar_split_clause,[],[f5929,f383,f5958,f5962])). 0.95/1.18 tff(f5966,plain,( 0.95/1.18 spl20_334 <=> ! [X27 : ty,X28 : uni] : $less(sK3,length(X27,X28))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_334])])). 0.95/1.18 tff(f5969,plain,( 0.95/1.18 spl20_337 <=> ~$less(sK5,-2)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_337])])). 0.95/1.18 tff(f5970,plain,( 0.95/1.18 ~$less(sK5,-2) | ~spl20_337), 0.95/1.18 inference(avatar_component_clause,[],[f5969])). 0.95/1.18 tff(f5971,plain,( 0.95/1.18 spl20_334 | ~spl20_337 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f5935,f422,f5969,f5966])). 0.95/1.18 tff(f5972,plain,( 0.95/1.18 ~spl20_317 | ~spl20_331 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f5880,f422,f5958,f5890])). 0.95/1.18 tff(f5974,plain,( 0.95/1.18 spl20_338 <=> $sum(1,sK0) = sK5), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_338])])). 0.95/1.18 tff(f5977,plain,( 0.95/1.18 spl20_340 <=> $less($sum(1,sK0),sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_340])])). 0.95/1.18 tff(f5979,plain,( 0.95/1.18 spl20_338 | spl20_340 | spl20_39), 0.95/1.18 inference(avatar_split_clause,[],[f5198,f452,f5977,f5974])). 0.95/1.18 tff(f5980,plain,( 0.95/1.18 spl20_338 | spl20_340 | spl20_39), 0.95/1.18 inference(avatar_split_clause,[],[f5199,f452,f5977,f5974])). 0.95/1.18 tff(f5982,plain,( 0.95/1.18 spl20_342 <=> $less($sum(1,sK0),$sum(1,sK5))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_342])])). 0.95/1.18 tff(f5984,plain,( 0.95/1.18 spl20_342 | spl20_39), 0.95/1.18 inference(avatar_split_clause,[],[f5204,f452,f5982])). 0.95/1.18 tff(f5986,plain,( 0.95/1.18 spl20_345 <=> ~$less(sK5,tb2t3(cons_proj_1(int,nil(int))))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_345])])). 0.95/1.18 tff(f5988,plain,( 0.95/1.18 ~spl20_345 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5654,f1472,f1418,f5986])). 0.95/1.18 tff(f5989,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,nil(int))),$sum(1,sK5)) | (~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5673,f1419])). 0.95/1.18 tff(f5991,plain,( 0.95/1.18 spl20_346 <=> $less(tb2t3(cons_proj_1(int,nil(int))),$sum(1,sK5))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_346])])). 0.95/1.18 tff(f5993,plain,( 0.95/1.18 spl20_346 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5989,f1472,f1418,f5991])). 0.95/1.18 tff(f5994,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,nil(int))),sK5) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5651,f1419])). 0.95/1.18 tff(f5995,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,nil(int))) = sK5 | $less(tb2t3(cons_proj_1(int,nil(int))),sK5) | (~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5994,f1419])). 0.95/1.18 tff(f5997,plain,( 0.95/1.18 spl20_348 <=> $less(tb2t3(cons_proj_1(int,nil(int))),sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_348])])). 0.95/1.18 tff(f6000,plain,( 0.95/1.18 spl20_350 <=> tb2t3(cons_proj_1(int,nil(int))) = sK5), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_350])])). 0.95/1.18 tff(f6002,plain,( 0.95/1.18 spl20_348 | spl20_350 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5995,f1472,f1418,f6000,f5997])). 0.95/1.18 tff(f6003,plain,( 0.95/1.18 $less(tb2t3(cons_proj_1(int,nil(int))),sK5) | tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5 | (~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f5650,f1419])). 0.95/1.18 tff(f6004,plain,( 0.95/1.18 tb2t3(cons_proj_1(int,nil(int))) = sK5 | $less(tb2t3(cons_proj_1(int,nil(int))),sK5) | (~spl20_86 | ~spl20_101)), 0.95/1.18 inference(forward_demodulation,[],[f6003,f1419])). 0.95/1.18 tff(f6005,plain,( 0.95/1.18 spl20_348 | spl20_350 | ~spl20_86 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f6004,f1472,f1418,f6000,f5997])). 0.95/1.18 tff(f6008,plain,( 0.95/1.18 spl20_352 <=> $less($sum(sK3,$uminus(sK5)),1)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_352])])). 0.95/1.18 tff(f6010,plain,( 0.95/1.18 spl20_352 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f5532,f422,f6008])). 0.95/1.18 tff(f6012,plain,( 0.95/1.18 spl20_354 <=> $less(0,$sum(1,$sum(sK5,$uminus(sK3))))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_354])])). 0.95/1.18 tff(f6014,plain,( 0.95/1.18 spl20_354 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f5522,f422,f6012])). 0.95/1.18 tff(f6017,plain,( 0.95/1.18 ~spl20_331 | spl20_328 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f5456,f422,f5955,f5958])). 0.95/1.18 tff(f6019,plain,( 0.95/1.18 spl20_357 <=> ~$less($sum(1,sK5),sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_357])])). 0.95/1.18 tff(f6021,plain,( 0.95/1.18 ~spl20_357 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f5441,f422,f6019])). 0.95/1.18 tff(f6023,plain,( 0.95/1.18 spl20_358 <=> $less($sum(1,sK3),$sum(1,$sum(1,sK5)))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_358])])). 0.95/1.18 tff(f6025,plain,( 0.95/1.18 spl20_358 | spl20_117), 0.95/1.18 inference(avatar_split_clause,[],[f5435,f2051,f6023])). 0.95/1.18 tff(f6027,plain,( 0.95/1.18 spl20_360 <=> $sum(1,sK3) = $sum(1,sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_360])])). 0.95/1.18 tff(f6029,plain,( 0.95/1.18 spl20_360 | spl20_248 | spl20_117), 0.95/1.18 inference(avatar_split_clause,[],[f5427,f2051,f5246,f6027])). 0.95/1.18 tff(f6030,plain,( 0.95/1.18 spl20_360 | spl20_248 | spl20_117), 0.95/1.18 inference(avatar_split_clause,[],[f5426,f2051,f5246,f6027])). 0.95/1.18 tff(f6032,plain,( 0.95/1.18 spl20_362 <=> $less($sum(1,sK0),$sum(1,$sum(1,sK5)))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_362])])). 0.95/1.18 tff(f6034,plain,( 0.95/1.18 spl20_362 | spl20_99), 0.95/1.18 inference(avatar_split_clause,[],[f5411,f1451,f6032])). 0.95/1.18 tff(f6036,plain,( 0.95/1.18 spl20_364 <=> $sum(1,sK0) = $sum(1,sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_364])])). 0.95/1.18 tff(f6038,plain,( 0.95/1.18 spl20_364 | spl20_342 | spl20_99), 0.95/1.18 inference(avatar_split_clause,[],[f5405,f1451,f5982,f6036])). 0.95/1.18 tff(f6039,plain,( 0.95/1.18 spl20_364 | spl20_342 | spl20_99), 0.95/1.18 inference(avatar_split_clause,[],[f5404,f1451,f5982,f6036])). 0.95/1.18 tff(f6048,plain,( 0.95/1.18 spl20_118 | ~spl20_121 | spl20_23), 0.95/1.18 inference(avatar_split_clause,[],[f5928,f399,f2058,f2055])). 0.95/1.18 tff(f6049,plain,( 0.95/1.18 spl20_324 | ~spl20_121 | ~spl20_34), 0.95/1.18 inference(avatar_split_clause,[],[f5927,f433,f2058,f5943])). 0.95/1.18 tff(f6051,plain,( 0.95/1.18 spl20_366 <=> ! [X40 : uni,X38 : $int,X39 : ty] : (~$less(X38,sK0) | ~$less(length(X39,X40),X38))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_366])])). 0.95/1.18 tff(f6053,plain,( 0.95/1.18 spl20_366 | ~spl20_121 | spl20_23), 0.95/1.18 inference(avatar_split_clause,[],[f5926,f399,f2058,f6051])). 0.95/1.18 tff(f6086,plain,( 0.95/1.18 ( ! [X6:ty,X7:uni] : ($less(sK3,length(X6,X7)) | ~$less(sK5,-1)) ) | ~spl20_28), 0.95/1.18 inference(resolution,[],[f443,f1311])). 0.95/1.18 tff(f6093,plain,( 0.95/1.18 $less(0,$sum(sK5,$uminus(sK3))) | ~spl20_28), 0.95/1.18 inference(superposition,[],[f444,f78])). 0.95/1.18 tff(f6097,plain,( 0.95/1.18 $less($sum(sK3,$uminus(sK5)),0) | ~spl20_28), 0.95/1.18 inference(superposition,[],[f444,f78])). 0.95/1.18 tff(f6108,plain,( 0.95/1.18 spl20_368 <=> $less(0,$sum(sK5,$uminus(sK3)))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_368])])). 0.95/1.18 tff(f6110,plain,( 0.95/1.18 spl20_368 | ~spl20_28), 0.95/1.18 inference(avatar_split_clause,[],[f6093,f416,f6108])). 0.95/1.18 tff(f6112,plain,( 0.95/1.18 spl20_370 <=> $less($sum(sK3,$uminus(sK5)),0)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_370])])). 0.95/1.18 tff(f6114,plain,( 0.95/1.18 spl20_370 | ~spl20_28), 0.95/1.18 inference(avatar_split_clause,[],[f6097,f416,f6112])). 0.95/1.18 tff(f6123,plain,( 0.95/1.18 ( ! [X24:ty,X25:uni] : ($less(-1,$sum(1,sK5)) | ~$less(length(X24,X25),sK3)) ) | ~spl20_30), 0.95/1.18 inference(resolution,[],[f1312,f502])). 0.95/1.18 tff(f6128,plain,( 0.95/1.18 ( ! [X24:ty,X25:uni] : ($less($sum(-1,-1),sK5) | ~$less(length(X24,X25),sK3)) ) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f6123])). 0.95/1.18 tff(f6129,plain,( 0.95/1.18 ( ! [X24:ty,X25:uni] : ($less(-2,sK5) | ~$less(length(X24,X25),sK3)) ) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f6128])). 0.95/1.18 tff(f6138,plain,( 0.95/1.18 spl20_372 <=> $less(-2,sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_372])])). 0.95/1.18 tff(f6140,plain,( 0.95/1.18 spl20_328 | spl20_372 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f6129,f422,f6138,f5955])). 0.95/1.18 tff(f6150,plain,( 0.95/1.18 ( ! [X24:ty,X25:uni] : (~$less($sum(1,sK5),-1) | ~$less(length(X24,X25),sK3)) ) | ~spl20_30), 0.95/1.18 inference(resolution,[],[f1336,f502])). 0.95/1.18 tff(f6156,plain,( 0.95/1.18 ( ! [X24:ty,X25:uni] : (~$less(sK5,$sum(-1,-1)) | ~$less(length(X24,X25),sK3)) ) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f6150])). 0.95/1.18 tff(f6157,plain,( 0.95/1.18 ( ! [X24:ty,X25:uni] : (~$less(sK5,-2) | ~$less(length(X24,X25),sK3)) ) | ~spl20_30), 0.95/1.18 inference(evaluation,[],[f6156])). 0.95/1.18 tff(f6167,plain,( 0.95/1.18 $less(-1,sK5) | sK5 = -1 | ~spl20_331), 0.95/1.18 inference(resolution,[],[f5959,f81])). 0.95/1.18 tff(f6168,plain,( 0.95/1.18 $less(-1,sK5) | sK5 = -1 | ~spl20_331), 0.95/1.18 inference(resolution,[],[f5959,f81])). 0.95/1.18 tff(f6173,plain,( 0.95/1.18 spl20_374 <=> sK5 = -1), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_374])])). 0.95/1.18 tff(f6176,plain,( 0.95/1.18 spl20_376 <=> $less(-1,sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_376])])). 0.95/1.18 tff(f6178,plain,( 0.95/1.18 spl20_374 | spl20_376 | spl20_331), 0.95/1.18 inference(avatar_split_clause,[],[f6167,f5958,f6176,f6173])). 0.95/1.18 tff(f6179,plain,( 0.95/1.18 spl20_374 | spl20_376 | spl20_331), 0.95/1.18 inference(avatar_split_clause,[],[f6168,f5958,f6176,f6173])). 0.95/1.18 tff(f6242,plain,( 0.95/1.18 $less(-2,$sum(sK5,1)) | ~spl20_337), 0.95/1.18 inference(resolution,[],[f5970,f83])). 0.95/1.18 tff(f6243,plain,( 0.95/1.18 $less($sum(-2,-1),sK5) | ~spl20_337), 0.95/1.18 inference(evaluation,[],[f6242])). 0.95/1.18 tff(f6244,plain,( 0.95/1.18 $less(-3,sK5) | ~spl20_337), 0.95/1.18 inference(evaluation,[],[f6243])). 0.95/1.18 tff(f6246,plain,( 0.95/1.18 spl20_378 <=> $less(-3,sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_378])])). 0.95/1.18 tff(f6248,plain,( 0.95/1.18 spl20_378 | spl20_337), 0.95/1.18 inference(avatar_split_clause,[],[f6244,f5969,f6246])). 0.95/1.18 tff(f6284,plain,( 0.95/1.18 distinct(int,infix_plpl(int,labels(int,t2tb(sK6)),labels(int,t2tb(sK4)))) | ~distinct(int,labels(int,t2tb(sK4))) | distinct(int,infix_plpl(int,labels(int,t2tb(sK6)),labels(int,t2tb(sK4)))) | ~distinct(int,labels(int,t2tb(sK6))) | (~spl20_16 | ~spl20_20)), 0.95/1.18 inference(resolution,[],[f2124,f1306])). 0.95/1.18 tff(f6293,plain,( 0.95/1.18 distinct(int,infix_plpl(int,labels(int,t2tb(sK6)),labels(int,t2tb(sK4)))) | ~distinct(int,labels(int,t2tb(sK4))) | ~distinct(int,labels(int,t2tb(sK6))) | (~spl20_16 | ~spl20_20)), 0.95/1.18 inference(duplicate_literal_removal,[],[f6284])). 0.95/1.18 tff(f6294,plain,( 0.95/1.18 distinct(int,infix_plpl(int,labels(int,t2tb(sK6)),labels(int,t2tb(sK4)))) | ~distinct(int,labels(int,t2tb(sK6))) | (~spl20_16 | ~spl20_20)), 0.95/1.18 inference(subsumption_resolution,[],[f6293,f396])). 0.95/1.18 tff(f6295,plain,( 0.95/1.18 distinct(int,infix_plpl(int,labels(int,t2tb(sK6)),labels(int,t2tb(sK4)))) | (~spl20_16 | ~spl20_20)), 0.95/1.18 inference(subsumption_resolution,[],[f6294,f388])). 0.95/1.18 tff(f6296,plain,( 0.95/1.18 distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | (~spl20_16 | ~spl20_20)), 0.95/1.18 inference(forward_demodulation,[],[f6295,f244])). 0.95/1.18 tff(f6297,plain,( 0.95/1.18 $false | (~spl20_3 | ~spl20_16 | ~spl20_20)), 0.95/1.18 inference(subsumption_resolution,[],[f6296,f363])). 0.95/1.18 tff(f6298,plain,( 0.95/1.18 spl20_3 | ~spl20_16 | ~spl20_20), 0.95/1.18 inference(avatar_contradiction_clause,[],[f6297])). 0.95/1.18 tff(f6316,plain,( 0.95/1.18 mem(int,t2tb3(sK7),labels(int,t2tb(sK4))) | (~spl20_10 | ~spl20_86)), 0.95/1.18 inference(forward_demodulation,[],[f376,f5386])). 0.95/1.18 tff(f6318,plain,( 0.95/1.18 spl20_380 <=> mem(int,t2tb3(sK7),labels(int,t2tb(sK4)))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_380])])). 0.95/1.18 tff(f6319,plain,( 0.95/1.18 mem(int,t2tb3(sK7),labels(int,t2tb(sK4))) | ~spl20_380), 0.95/1.18 inference(avatar_component_clause,[],[f6318])). 0.95/1.18 tff(f6320,plain,( 0.95/1.18 spl20_380 | ~spl20_10 | ~spl20_86), 0.95/1.18 inference(avatar_split_clause,[],[f6316,f1418,f375,f6318])). 0.95/1.18 tff(f6321,plain,( 0.95/1.18 ( ! [X0:$int] : (~$less(sK0,X0) | ~$less(X0,sK7)) ) | ~spl20_7), 0.95/1.18 inference(resolution,[],[f369,f80])). 0.95/1.18 tff(f6322,plain,( 0.95/1.18 $less(sK7,sK0) | sK0 = sK7 | ~spl20_7), 0.95/1.18 inference(resolution,[],[f369,f81])). 0.95/1.18 tff(f6323,plain,( 0.95/1.18 $less(sK7,sK0) | sK0 = sK7 | ~spl20_7), 0.95/1.18 inference(resolution,[],[f369,f81])). 0.95/1.18 tff(f6324,plain,( 0.95/1.18 $less(sK7,$sum(sK0,1)) | ~spl20_7), 0.95/1.18 inference(resolution,[],[f369,f83])). 0.95/1.18 tff(f6326,plain,( 0.95/1.18 spl20_382 <=> sK0 = sK7), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_382])])). 0.95/1.18 tff(f6327,plain,( 0.95/1.18 sK0 = sK7 | ~spl20_382), 0.95/1.18 inference(avatar_component_clause,[],[f6326])). 0.95/1.18 tff(f6329,plain,( 0.95/1.18 spl20_384 <=> $less(sK7,sK0)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_384])])). 0.95/1.18 tff(f6330,plain,( 0.95/1.18 $less(sK7,sK0) | ~spl20_384), 0.95/1.18 inference(avatar_component_clause,[],[f6329])). 0.95/1.18 tff(f6331,plain,( 0.95/1.18 spl20_382 | spl20_384 | spl20_7), 0.95/1.18 inference(avatar_split_clause,[],[f6322,f368,f6329,f6326])). 0.95/1.18 tff(f6332,plain,( 0.95/1.18 spl20_382 | spl20_384 | spl20_7), 0.95/1.18 inference(avatar_split_clause,[],[f6323,f368,f6329,f6326])). 0.95/1.18 tff(f6333,plain,( 0.95/1.18 $less(sK7,$sum(1,sK0)) | ~spl20_7), 0.95/1.18 inference(forward_demodulation,[],[f6324,f74])). 0.95/1.18 tff(f6335,plain,( 0.95/1.18 spl20_386 <=> $less(sK7,$sum(1,sK0))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_386])])). 0.95/1.18 tff(f6336,plain,( 0.95/1.18 $less(sK7,$sum(1,sK0)) | ~spl20_386), 0.95/1.18 inference(avatar_component_clause,[],[f6335])). 0.95/1.18 tff(f6337,plain,( 0.95/1.18 spl20_386 | spl20_7), 0.95/1.18 inference(avatar_split_clause,[],[f6333,f368,f6335])). 0.95/1.18 tff(f6338,plain,( 0.95/1.18 $less(sK3,sK7) | (~spl20_4 | ~spl20_28)), 0.95/1.18 inference(resolution,[],[f366,f443])). 0.95/1.18 tff(f6340,plain,( 0.95/1.18 ~$less(sK7,sK3) | (~spl20_4 | ~spl20_15)), 0.95/1.18 inference(resolution,[],[f366,f408])). 0.95/1.18 tff(f6344,plain,( 0.95/1.18 ~$less(sK7,$sum(sK5,1)) | ~spl20_4), 0.95/1.18 inference(resolution,[],[f366,f91])). 0.95/1.18 tff(f6346,plain,( 0.95/1.18 spl20_388 <=> $less(sK3,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_388])])). 0.95/1.18 tff(f6348,plain,( 0.95/1.18 spl20_388 | ~spl20_4 | ~spl20_28), 0.95/1.18 inference(avatar_split_clause,[],[f6338,f416,f365,f6346])). 0.95/1.18 tff(f6350,plain,( 0.95/1.18 spl20_391 <=> ~$less(sK7,sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_391])])). 0.95/1.18 tff(f6352,plain,( 0.95/1.18 ~spl20_391 | ~spl20_4 | spl20_15), 0.95/1.18 inference(avatar_split_clause,[],[f6340,f383,f365,f6350])). 0.95/1.18 tff(f6353,plain,( 0.95/1.18 ~$less(sK7,$sum(1,sK5)) | ~spl20_4), 0.95/1.18 inference(forward_demodulation,[],[f6344,f74])). 0.95/1.18 tff(f6355,plain,( 0.95/1.18 spl20_393 <=> ~$less(sK7,$sum(1,sK5))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_393])])). 0.95/1.18 tff(f6357,plain,( 0.95/1.18 ~spl20_393 | ~spl20_4), 0.95/1.18 inference(avatar_split_clause,[],[f6353,f365,f6355])). 0.95/1.18 tff(f6360,plain,( 0.95/1.18 $less(sK0,sK7) | ~spl20_380), 0.95/1.18 inference(resolution,[],[f6319,f213])). 0.95/1.18 tff(f6361,plain,( 0.95/1.18 ~$less(sK3,sK7) | ~spl20_380), 0.95/1.18 inference(resolution,[],[f6319,f212])). 0.95/1.18 tff(f6362,plain,( 0.95/1.18 ~$less(sK3,tb2t3(t2tb3(sK7))) | ~spl20_380), 0.95/1.18 inference(resolution,[],[f6319,f485])). 0.95/1.18 tff(f6363,plain,( 0.95/1.18 $less(sK0,tb2t3(t2tb3(sK7))) | ~spl20_380), 0.95/1.18 inference(resolution,[],[f6319,f484])). 0.95/1.18 tff(f6364,plain,( 0.95/1.18 $less(sK0,sK0) | (~spl20_380 | ~spl20_382)), 0.95/1.18 inference(forward_demodulation,[],[f6360,f6327])). 0.95/1.18 tff(f6365,plain,( 0.95/1.18 $false | (~spl20_380 | ~spl20_382)), 0.95/1.18 inference(subsumption_resolution,[],[f6364,f79])). 0.95/1.18 tff(f6366,plain,( 0.95/1.18 ~spl20_380 | ~spl20_382), 0.95/1.18 inference(avatar_contradiction_clause,[],[f6365])). 0.95/1.18 tff(f6368,plain,( 0.95/1.18 ~$less(sK3,sK7) | ~spl20_380), 0.95/1.18 inference(forward_demodulation,[],[f6362,f235])). 0.95/1.18 tff(f6370,plain,( 0.95/1.18 $less(sK0,sK7) | ~spl20_380), 0.95/1.18 inference(forward_demodulation,[],[f6363,f235])). 0.95/1.18 tff(f6371,plain,( 0.95/1.18 $less(sK0,sK0) | (~spl20_380 | ~spl20_382)), 0.95/1.18 inference(forward_demodulation,[],[f6370,f6327])). 0.95/1.18 tff(f6372,plain,( 0.95/1.18 $false | (~spl20_380 | ~spl20_382)), 0.95/1.18 inference(subsumption_resolution,[],[f6371,f79])). 0.95/1.18 tff(f6373,plain,( 0.95/1.18 ~spl20_380 | ~spl20_382), 0.95/1.18 inference(avatar_contradiction_clause,[],[f6372])). 0.95/1.18 tff(f6375,plain,( 0.95/1.18 spl20_6 <=> $less(sK0,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_6])])). 0.95/1.18 tff(f6377,plain,( 0.95/1.18 spl20_6 | ~spl20_380), 0.95/1.18 inference(avatar_split_clause,[],[f6370,f6318,f6375])). 0.95/1.18 tff(f6379,plain,( 0.95/1.18 spl20_389 <=> ~$less(sK3,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_389])])). 0.95/1.18 tff(f6380,plain,( 0.95/1.18 ~$less(sK3,sK7) | ~spl20_389), 0.95/1.18 inference(avatar_component_clause,[],[f6379])). 0.95/1.18 tff(f6381,plain,( 0.95/1.18 ~spl20_389 | ~spl20_380), 0.95/1.18 inference(avatar_split_clause,[],[f6368,f6318,f6379])). 0.95/1.18 tff(f6382,plain,( 0.95/1.18 ~spl20_389 | ~spl20_380), 0.95/1.18 inference(avatar_split_clause,[],[f6361,f6318,f6379])). 0.95/1.18 tff(f6383,plain,( 0.95/1.18 spl20_6 | ~spl20_380), 0.95/1.18 inference(avatar_split_clause,[],[f6360,f6318,f6375])). 0.95/1.18 tff(f6384,plain,( 0.95/1.18 spl20_382 | spl20_384 | spl20_7), 0.95/1.18 inference(avatar_split_clause,[],[f6322,f368,f6329,f6326])). 0.95/1.18 tff(f6385,plain,( 0.95/1.18 spl20_382 | spl20_384 | spl20_7), 0.95/1.18 inference(avatar_split_clause,[],[f6323,f368,f6329,f6326])). 0.95/1.18 tff(f6387,plain,( 0.95/1.18 spl20_2 <=> distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4))))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_2])])). 0.95/1.18 tff(f6389,plain,( 0.95/1.18 spl20_2 | ~spl20_16 | ~spl20_20), 0.95/1.18 inference(avatar_split_clause,[],[f6296,f395,f387,f6387])). 0.95/1.18 tff(f6394,plain,( 0.95/1.18 spl20_394 <=> tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))) = sK5), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_394])])). 0.95/1.18 tff(f6397,plain,( 0.95/1.18 spl20_396 <=> $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_396])])). 0.95/1.18 tff(f6399,plain,( 0.95/1.18 spl20_394 | spl20_396 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5650,f1472,f6397,f6394])). 0.95/1.18 tff(f6400,plain,( 0.95/1.18 spl20_394 | spl20_396 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5651,f1472,f6397,f6394])). 0.95/1.18 tff(f6402,plain,( 0.95/1.18 spl20_398 <=> $less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK6)))),$sum(1,sK5))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_398])])). 0.95/1.18 tff(f6404,plain,( 0.95/1.18 spl20_398 | spl20_101), 0.95/1.18 inference(avatar_split_clause,[],[f5673,f1472,f6402])). 0.95/1.18 tff(f6406,plain,( 0.95/1.18 spl20_400 <=> $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),$sum(1,sK5))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_400])])). 0.95/1.18 tff(f6408,plain,( 0.95/1.18 spl20_400 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5713,f2085,f6406])). 0.95/1.18 tff(f6410,plain,( 0.95/1.18 spl20_402 <=> tb2t3(sK8(int,labels(int,t2tb(sK6)))) = sK5), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_402])])). 0.95/1.18 tff(f6413,plain,( 0.95/1.18 spl20_404 <=> $less(tb2t3(sK8(int,labels(int,t2tb(sK6)))),sK5)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_404])])). 0.95/1.18 tff(f6415,plain,( 0.95/1.18 spl20_402 | spl20_404 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5689,f2085,f6413,f6410])). 0.95/1.18 tff(f6416,plain,( 0.95/1.18 spl20_402 | spl20_404 | spl20_129), 0.95/1.18 inference(avatar_split_clause,[],[f5688,f2085,f6413,f6410])). 0.95/1.18 tff(f6423,plain,( 0.95/1.18 mem(int,t2tb3(sK7),labels(int,t2tb(sK4))) | mem(int,t2tb3(sK7),labels(int,t2tb(sK6))) | ~spl20_10), 0.95/1.18 inference(resolution,[],[f376,f342])). 0.95/1.18 tff(f6425,plain,( 0.95/1.18 spl20_406 <=> mem(int,t2tb3(sK7),labels(int,t2tb(sK6)))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_406])])). 0.95/1.18 tff(f6426,plain,( 0.95/1.18 mem(int,t2tb3(sK7),labels(int,t2tb(sK6))) | ~spl20_406), 0.95/1.18 inference(avatar_component_clause,[],[f6425])). 0.95/1.18 tff(f6427,plain,( 0.95/1.18 spl20_406 | spl20_380 | ~spl20_10), 0.95/1.18 inference(avatar_split_clause,[],[f6423,f375,f6318,f6425])). 0.95/1.18 tff(f6428,plain,( 0.95/1.18 $less(sK7,sK3) | sK3 = sK7 | (~spl20_23 | ~spl20_384)), 0.95/1.18 inference(resolution,[],[f6330,f623])). 0.95/1.18 tff(f6429,plain,( 0.95/1.18 $less(sK7,sK3) | (~spl20_34 | ~spl20_384)), 0.95/1.18 inference(resolution,[],[f6330,f473])). 0.95/1.18 tff(f6433,plain,( 0.95/1.18 ~$less(sK0,$sum(sK7,1)) | ~spl20_384), 0.95/1.18 inference(resolution,[],[f6330,f91])). 0.95/1.18 tff(f6435,plain,( 0.95/1.18 spl20_408 <=> sK3 = sK7), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_408])])). 0.95/1.18 tff(f6438,plain,( 0.95/1.18 spl20_390 <=> $less(sK7,sK3)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_390])])). 0.95/1.18 tff(f6440,plain,( 0.95/1.18 spl20_408 | spl20_390 | spl20_23 | ~spl20_384), 0.95/1.18 inference(avatar_split_clause,[],[f6428,f6329,f399,f6438,f6435])). 0.95/1.18 tff(f6441,plain,( 0.95/1.18 spl20_390 | ~spl20_34 | ~spl20_384), 0.95/1.18 inference(avatar_split_clause,[],[f6429,f6329,f433,f6438])). 0.95/1.18 tff(f6442,plain,( 0.95/1.18 ~$less(sK0,$sum(1,sK7)) | ~spl20_384), 0.95/1.18 inference(forward_demodulation,[],[f6433,f74])). 0.95/1.18 tff(f6444,plain,( 0.95/1.18 spl20_411 <=> ~$less(sK0,$sum(1,sK7))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_411])])). 0.95/1.18 tff(f6446,plain,( 0.95/1.18 ~spl20_411 | ~spl20_384), 0.95/1.18 inference(avatar_split_clause,[],[f6442,f6329,f6444])). 0.95/1.18 tff(f6450,plain,( 0.95/1.18 ~$less($sum(1,sK0),$sum(sK7,1)) | ~spl20_386), 0.95/1.18 inference(resolution,[],[f6336,f91])). 0.95/1.18 tff(f6452,plain,( 0.95/1.18 ~$less($sum(1,sK0),$sum(1,sK7)) | ~spl20_386), 0.95/1.18 inference(forward_demodulation,[],[f6450,f74])). 0.95/1.18 tff(f6454,plain,( 0.95/1.18 spl20_413 <=> ~$less($sum(1,sK0),$sum(1,sK7))), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_413])])). 0.95/1.18 tff(f6456,plain,( 0.95/1.18 ~spl20_413 | ~spl20_386), 0.95/1.18 inference(avatar_split_clause,[],[f6452,f6335,f6454])). 0.95/1.18 tff(f6457,plain,( 0.95/1.18 ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK7) | (~spl20_7 | ~spl20_92)), 0.95/1.18 inference(resolution,[],[f6321,f1435])). 0.95/1.18 tff(f6458,plain,( 0.95/1.18 ~$less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),sK7) | (~spl20_7 | ~spl20_140)), 0.95/1.18 inference(resolution,[],[f6321,f2133])). 0.95/1.18 tff(f6461,plain,( 0.95/1.18 ~$less($sum(1,$sum(1,sK0)),sK7) | (~spl20_7 | ~spl20_60)), 0.95/1.18 inference(resolution,[],[f6321,f651])). 0.95/1.18 tff(f6462,plain,( 0.95/1.18 ~$less($sum(1,sK0),sK7) | (~spl20_7 | ~spl20_56)), 0.95/1.18 inference(resolution,[],[f6321,f564])). 0.95/1.18 tff(f6463,plain,( 0.95/1.18 ~$less($sum(1,sK3),sK7) | (~spl20_7 | ~spl20_36)), 0.95/1.18 inference(resolution,[],[f6321,f440])). 0.95/1.18 tff(f6464,plain,( 0.95/1.18 ~$less($sum(1,sK5),sK7) | (~spl20_7 | ~spl20_96)), 0.95/1.18 inference(resolution,[],[f6321,f1447])). 0.95/1.18 tff(f6465,plain,( 0.95/1.18 ~$less(0,sK7) | (~spl20_7 | ~spl20_78)), 0.95/1.18 inference(resolution,[],[f6321,f1241])). 0.95/1.18 tff(f6466,plain,( 0.95/1.18 ~$less(1,sK7) | (~spl20_7 | ~spl20_80)), 0.95/1.18 inference(resolution,[],[f6321,f1246])). 0.95/1.18 tff(f6467,plain,( 0.95/1.18 ~$less(sK3,sK7) | (~spl20_7 | ~spl20_34)), 0.95/1.18 inference(resolution,[],[f6321,f434])). 0.95/1.18 tff(f6468,plain,( 0.95/1.18 ~$less(sK5,sK7) | (~spl20_7 | ~spl20_40)), 0.95/1.18 inference(resolution,[],[f6321,f461])). 0.95/1.18 tff(f6469,plain,( 0.95/1.18 ~$less(-1,sK7) | (~spl20_7 | ~spl20_154)), 0.95/1.18 inference(resolution,[],[f6321,f2473])). 0.95/1.18 tff(f6470,plain,( 0.95/1.18 ~$less(-2,sK7) | (~spl20_7 | ~spl20_160)), 0.95/1.18 inference(resolution,[],[f6321,f2681])). 0.95/1.18 tff(f6471,plain,( 0.95/1.18 ~$less(2,sK7) | (~spl20_7 | ~spl20_84)), 0.95/1.18 inference(resolution,[],[f6321,f1334])). 0.95/1.18 tff(f6472,plain,( 0.95/1.18 ~$less(-3,sK7) | (~spl20_7 | ~spl20_166)), 0.95/1.18 inference(resolution,[],[f6321,f2810])). 0.95/1.18 tff(f6473,plain,( 0.95/1.18 ~$less(-4,sK7) | (~spl20_7 | ~spl20_172)), 0.95/1.18 inference(resolution,[],[f6321,f3018])). 0.95/1.18 tff(f6474,plain,( 0.95/1.18 ~$less(-5,sK7) | (~spl20_7 | ~spl20_178)), 0.95/1.18 inference(resolution,[],[f6321,f3194])). 0.95/1.18 tff(f6475,plain,( 0.95/1.18 ~$less(-6,sK7) | (~spl20_7 | ~spl20_184)), 0.95/1.18 inference(resolution,[],[f6321,f3377])). 0.95/1.18 tff(f6476,plain,( 0.95/1.18 ~$less(-7,sK7) | (~spl20_7 | ~spl20_190)), 0.95/1.18 inference(resolution,[],[f6321,f3505])). 0.95/1.18 tff(f6477,plain,( 0.95/1.18 ~$less(-8,sK7) | (~spl20_7 | ~spl20_196)), 0.95/1.18 inference(resolution,[],[f6321,f3702])). 0.95/1.18 tff(f6478,plain,( 0.95/1.18 ~$less(-9,sK7) | (~spl20_7 | ~spl20_202)), 0.95/1.18 inference(resolution,[],[f6321,f3845])). 0.95/1.18 tff(f6479,plain,( 0.95/1.18 ~$less(-10,sK7) | (~spl20_7 | ~spl20_208)), 0.95/1.18 inference(resolution,[],[f6321,f3993])). 0.95/1.18 tff(f6480,plain,( 0.95/1.18 ~$less(-11,sK7) | (~spl20_7 | ~spl20_214)), 0.95/1.18 inference(resolution,[],[f6321,f4204])). 0.95/1.18 tff(f6481,plain,( 0.95/1.18 ~$less(-12,sK7) | (~spl20_7 | ~spl20_220)), 0.95/1.18 inference(resolution,[],[f6321,f4526])). 0.95/1.18 tff(f6482,plain,( 0.95/1.18 ~$less(-13,sK7) | (~spl20_7 | ~spl20_226)), 0.95/1.18 inference(resolution,[],[f6321,f4668])). 0.95/1.18 tff(f6483,plain,( 0.95/1.18 ~$less(-14,sK7) | (~spl20_7 | ~spl20_232)), 0.95/1.18 inference(resolution,[],[f6321,f5004])). 0.95/1.18 tff(f6484,plain,( 0.95/1.18 ~$less(-15,sK7) | (~spl20_7 | ~spl20_238)), 0.95/1.18 inference(resolution,[],[f6321,f5159])). 0.95/1.18 tff(f6485,plain,( 0.95/1.18 ~$less(-16,sK7) | (~spl20_7 | ~spl20_254)), 0.95/1.18 inference(resolution,[],[f6321,f5329])). 0.95/1.18 tff(f6486,plain,( 0.95/1.18 ~$less(-17,sK7) | (~spl20_7 | ~spl20_266)), 0.95/1.18 inference(resolution,[],[f6321,f5507])). 0.95/1.18 tff(f6487,plain,( 0.95/1.18 ~$less(-18,sK7) | (~spl20_7 | ~spl20_278)), 0.95/1.18 inference(resolution,[],[f6321,f5646])). 0.95/1.18 tff(f6496,plain,( 0.95/1.18 ~$less($sum(1,sK5),sK7) | ~$less(sK0,sK3) | (~spl20_7 | ~spl20_30)), 0.95/1.18 inference(resolution,[],[f6321,f502])). 0.95/1.18 tff(f6499,plain,( 0.95/1.18 spl20_415 <=> ~$less(tb2t3(cons_proj_1(int,labels(int,t2tb(sK4)))),sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_415])])). 0.95/1.18 tff(f6501,plain,( 0.95/1.18 ~spl20_415 | spl20_7 | ~spl20_92), 0.95/1.18 inference(avatar_split_clause,[],[f6457,f1434,f368,f6499])). 0.95/1.18 tff(f6503,plain,( 0.95/1.18 spl20_417 <=> ~$less(tb2t3(sK8(int,labels(int,t2tb(sK4)))),sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_417])])). 0.95/1.18 tff(f6505,plain,( 0.95/1.18 ~spl20_417 | spl20_7 | ~spl20_140), 0.95/1.18 inference(avatar_split_clause,[],[f6458,f2132,f368,f6503])). 0.95/1.18 tff(f6507,plain,( 0.95/1.18 spl20_419 <=> ~$less($sum(1,$sum(1,sK0)),sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_419])])). 0.95/1.18 tff(f6509,plain,( 0.95/1.18 ~spl20_419 | spl20_7 | ~spl20_60), 0.95/1.18 inference(avatar_split_clause,[],[f6461,f650,f368,f6507])). 0.95/1.18 tff(f6511,plain,( 0.95/1.18 spl20_421 <=> ~$less($sum(1,sK0),sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_421])])). 0.95/1.18 tff(f6513,plain,( 0.95/1.18 ~spl20_421 | spl20_7 | ~spl20_56), 0.95/1.18 inference(avatar_split_clause,[],[f6462,f563,f368,f6511])). 0.95/1.18 tff(f6515,plain,( 0.95/1.18 spl20_423 <=> ~$less($sum(1,sK3),sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_423])])). 0.95/1.18 tff(f6517,plain,( 0.95/1.18 ~spl20_423 | spl20_7 | ~spl20_36), 0.95/1.18 inference(avatar_split_clause,[],[f6463,f439,f368,f6515])). 0.95/1.18 tff(f6519,plain,( 0.95/1.18 spl20_425 <=> ~$less($sum(1,sK5),sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_425])])). 0.95/1.18 tff(f6521,plain,( 0.95/1.18 ~spl20_425 | spl20_7 | ~spl20_96), 0.95/1.18 inference(avatar_split_clause,[],[f6464,f1446,f368,f6519])). 0.95/1.18 tff(f6523,plain,( 0.95/1.18 spl20_427 <=> ~$less(0,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_427])])). 0.95/1.18 tff(f6525,plain,( 0.95/1.18 ~spl20_427 | spl20_7 | ~spl20_78), 0.95/1.18 inference(avatar_split_clause,[],[f6465,f1240,f368,f6523])). 0.95/1.18 tff(f6527,plain,( 0.95/1.18 spl20_429 <=> ~$less(1,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_429])])). 0.95/1.18 tff(f6529,plain,( 0.95/1.18 ~spl20_429 | spl20_7 | ~spl20_80), 0.95/1.18 inference(avatar_split_clause,[],[f6466,f1245,f368,f6527])). 0.95/1.18 tff(f6530,plain,( 0.95/1.18 ~spl20_389 | spl20_7 | ~spl20_34), 0.95/1.18 inference(avatar_split_clause,[],[f6467,f433,f368,f6379])). 0.95/1.18 tff(f6532,plain,( 0.95/1.18 spl20_5 <=> ~$less(sK5,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_5])])). 0.95/1.18 tff(f6534,plain,( 0.95/1.18 ~spl20_5 | spl20_7 | ~spl20_40), 0.95/1.18 inference(avatar_split_clause,[],[f6468,f460,f368,f6532])). 0.95/1.18 tff(f6536,plain,( 0.95/1.18 spl20_431 <=> ~$less(-1,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_431])])). 0.95/1.18 tff(f6538,plain,( 0.95/1.18 ~spl20_431 | spl20_7 | ~spl20_154), 0.95/1.18 inference(avatar_split_clause,[],[f6469,f2472,f368,f6536])). 0.95/1.18 tff(f6540,plain,( 0.95/1.18 spl20_433 <=> ~$less(-2,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_433])])). 0.95/1.18 tff(f6542,plain,( 0.95/1.18 ~spl20_433 | spl20_7 | ~spl20_160), 0.95/1.18 inference(avatar_split_clause,[],[f6470,f2680,f368,f6540])). 0.95/1.18 tff(f6544,plain,( 0.95/1.18 spl20_435 <=> ~$less(2,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_435])])). 0.95/1.18 tff(f6546,plain,( 0.95/1.18 ~spl20_435 | spl20_7 | ~spl20_84), 0.95/1.18 inference(avatar_split_clause,[],[f6471,f1333,f368,f6544])). 0.95/1.18 tff(f6548,plain,( 0.95/1.18 spl20_437 <=> ~$less(-3,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_437])])). 0.95/1.18 tff(f6550,plain,( 0.95/1.18 ~spl20_437 | spl20_7 | ~spl20_166), 0.95/1.18 inference(avatar_split_clause,[],[f6472,f2809,f368,f6548])). 0.95/1.18 tff(f6552,plain,( 0.95/1.18 spl20_439 <=> ~$less(-4,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_439])])). 0.95/1.18 tff(f6554,plain,( 0.95/1.18 ~spl20_439 | spl20_7 | ~spl20_172), 0.95/1.18 inference(avatar_split_clause,[],[f6473,f3017,f368,f6552])). 0.95/1.18 tff(f6556,plain,( 0.95/1.18 spl20_441 <=> ~$less(-5,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_441])])). 0.95/1.18 tff(f6558,plain,( 0.95/1.18 ~spl20_441 | spl20_7 | ~spl20_178), 0.95/1.18 inference(avatar_split_clause,[],[f6474,f3193,f368,f6556])). 0.95/1.18 tff(f6560,plain,( 0.95/1.18 spl20_443 <=> ~$less(-6,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_443])])). 0.95/1.18 tff(f6562,plain,( 0.95/1.18 ~spl20_443 | spl20_7 | ~spl20_184), 0.95/1.18 inference(avatar_split_clause,[],[f6475,f3376,f368,f6560])). 0.95/1.18 tff(f6564,plain,( 0.95/1.18 spl20_445 <=> ~$less(-7,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_445])])). 0.95/1.18 tff(f6566,plain,( 0.95/1.18 ~spl20_445 | spl20_7 | ~spl20_190), 0.95/1.18 inference(avatar_split_clause,[],[f6476,f3504,f368,f6564])). 0.95/1.18 tff(f6568,plain,( 0.95/1.18 spl20_447 <=> ~$less(-8,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_447])])). 0.95/1.18 tff(f6570,plain,( 0.95/1.18 ~spl20_447 | spl20_7 | ~spl20_196), 0.95/1.18 inference(avatar_split_clause,[],[f6477,f3701,f368,f6568])). 0.95/1.18 tff(f6572,plain,( 0.95/1.18 spl20_449 <=> ~$less(-9,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_449])])). 0.95/1.18 tff(f6574,plain,( 0.95/1.18 ~spl20_449 | spl20_7 | ~spl20_202), 0.95/1.18 inference(avatar_split_clause,[],[f6478,f3844,f368,f6572])). 0.95/1.18 tff(f6576,plain,( 0.95/1.18 spl20_451 <=> ~$less(-10,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_451])])). 0.95/1.18 tff(f6578,plain,( 0.95/1.18 ~spl20_451 | spl20_7 | ~spl20_208), 0.95/1.18 inference(avatar_split_clause,[],[f6479,f3992,f368,f6576])). 0.95/1.18 tff(f6580,plain,( 0.95/1.18 spl20_453 <=> ~$less(-11,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_453])])). 0.95/1.18 tff(f6582,plain,( 0.95/1.18 ~spl20_453 | spl20_7 | ~spl20_214), 0.95/1.18 inference(avatar_split_clause,[],[f6480,f4203,f368,f6580])). 0.95/1.18 tff(f6584,plain,( 0.95/1.18 spl20_455 <=> ~$less(-12,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_455])])). 0.95/1.18 tff(f6586,plain,( 0.95/1.18 ~spl20_455 | spl20_7 | ~spl20_220), 0.95/1.18 inference(avatar_split_clause,[],[f6481,f4525,f368,f6584])). 0.95/1.18 tff(f6588,plain,( 0.95/1.18 spl20_457 <=> ~$less(-13,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_457])])). 0.95/1.18 tff(f6590,plain,( 0.95/1.18 ~spl20_457 | spl20_7 | ~spl20_226), 0.95/1.18 inference(avatar_split_clause,[],[f6482,f4667,f368,f6588])). 0.95/1.18 tff(f6592,plain,( 0.95/1.18 spl20_459 <=> ~$less(-14,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_459])])). 0.95/1.18 tff(f6594,plain,( 0.95/1.18 ~spl20_459 | spl20_7 | ~spl20_232), 0.95/1.18 inference(avatar_split_clause,[],[f6483,f5003,f368,f6592])). 0.95/1.18 tff(f6596,plain,( 0.95/1.18 spl20_461 <=> ~$less(-15,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_461])])). 0.95/1.18 tff(f6598,plain,( 0.95/1.18 ~spl20_461 | spl20_7 | ~spl20_238), 0.95/1.18 inference(avatar_split_clause,[],[f6484,f5158,f368,f6596])). 0.95/1.18 tff(f6600,plain,( 0.95/1.18 spl20_463 <=> ~$less(-16,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_463])])). 0.95/1.18 tff(f6602,plain,( 0.95/1.18 ~spl20_463 | spl20_7 | ~spl20_254), 0.95/1.18 inference(avatar_split_clause,[],[f6485,f5328,f368,f6600])). 0.95/1.18 tff(f6604,plain,( 0.95/1.18 spl20_465 <=> ~$less(-17,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_465])])). 0.95/1.18 tff(f6606,plain,( 0.95/1.18 ~spl20_465 | spl20_7 | ~spl20_266), 0.95/1.18 inference(avatar_split_clause,[],[f6486,f5506,f368,f6604])). 0.95/1.18 tff(f6608,plain,( 0.95/1.18 spl20_467 <=> ~$less(-18,sK7)), 0.95/1.18 introduced(avatar_definition,[new_symbols(naming,[spl20_467])])). 0.95/1.18 tff(f6610,plain,( 0.95/1.18 ~spl20_467 | spl20_7 | ~spl20_278), 0.95/1.18 inference(avatar_split_clause,[],[f6487,f5645,f368,f6608])). 0.95/1.18 tff(f6612,plain,( 0.95/1.18 ~$less($sum(1,sK5),sK7) | (~spl20_7 | ~spl20_30 | ~spl20_34)), 0.95/1.18 inference(subsumption_resolution,[],[f6496,f434])). 0.95/1.18 tff(f6613,plain,( 0.95/1.18 ~spl20_425 | spl20_7 | ~spl20_30 | ~spl20_34), 0.95/1.18 inference(avatar_split_clause,[],[f6612,f433,f422,f368,f6519])). 0.95/1.18 tff(f6615,plain,( 0.95/1.18 ~$less(sK5,sK7) | ~spl20_406), 0.95/1.18 inference(resolution,[],[f6426,f219])). 0.95/1.18 tff(f6616,plain,( 0.95/1.18 $less(sK3,sK7) | ~spl20_406), 0.95/1.18 inference(resolution,[],[f6426,f218])). 0.95/1.18 tff(f6617,plain,( 0.95/1.18 $less(sK3,tb2t3(t2tb3(sK7))) | ~spl20_406), 0.95/1.18 inference(resolution,[],[f6426,f483])). 0.95/1.18 tff(f6618,plain,( 0.95/1.18 ~$less(sK5,tb2t3(t2tb3(sK7))) | ~spl20_406), 0.95/1.18 inference(resolution,[],[f6426,f482])). 0.95/1.18 tff(f6619,plain,( 0.95/1.18 $false | (~spl20_389 | ~spl20_406)), 0.95/1.18 inference(subsumption_resolution,[],[f6616,f6380])). 0.95/1.18 tff(f6620,plain,( 0.95/1.18 spl20_389 | ~spl20_406), 0.95/1.18 inference(avatar_contradiction_clause,[],[f6619])). 0.95/1.18 tff(f6621,plain,( 0.95/1.18 $less(sK3,sK7) | ~spl20_406), 0.95/1.18 inference(forward_demodulation,[],[f6617,f235])). 0.95/1.18 tff(f6622,plain,( 0.95/1.18 $false | (~spl20_389 | ~spl20_406)), 0.95/1.18 inference(subsumption_resolution,[],[f6621,f6380])). 0.95/1.18 tff(f6623,plain,( 0.95/1.18 spl20_389 | ~spl20_406), 0.95/1.18 inference(avatar_contradiction_clause,[],[f6622])). 0.95/1.18 tff(f6624,plain,( 0.95/1.18 ~$less(sK5,sK7) | ~spl20_406), 0.95/1.18 inference(forward_demodulation,[],[f6618,f235])). 0.95/1.18 tff(f6625,plain,( 0.95/1.18 ~spl20_5 | ~spl20_406), 0.95/1.18 inference(avatar_split_clause,[],[f6624,f6425,f6532])). 0.95/1.18 tff(f6626,plain,( 0.95/1.18 ~spl20_5 | ~spl20_406), 0.95/1.18 inference(avatar_split_clause,[],[f6615,f6425,f6532])). 0.95/1.18 tff(f6627,plain,( 0.95/1.18 ~spl20_331 | spl20_334 | ~spl20_28), 0.95/1.18 inference(avatar_split_clause,[],[f6086,f416,f5966,f5958])). 0.95/1.18 tff(f6628,plain,( 0.95/1.18 spl20_328 | ~spl20_337 | ~spl20_30), 0.95/1.18 inference(avatar_split_clause,[],[f6157,f422,f5969,f5955])). 0.95/1.18 tff(f6629,plain,( 0.95/1.18 spl20_388 | ~spl20_406), 0.95/1.18 inference(avatar_split_clause,[],[f6621,f6425,f6346])). 0.95/1.18 tff(f6630,plain,( 0.95/1.18 spl20_388 | ~spl20_406), 0.95/1.18 inference(avatar_split_clause,[],[f6616,f6425,f6346])). 0.95/1.18 tff(f6631,plain,( 0.95/1.18 $false), 0.95/1.18 inference(avatar_sat_refutation,[],[f370,f377,f381,f385,f389,f393,f397,f401,f405,f418,f419,f424,f435,f436,f441,f454,f462,f466,f471,f481,f516,f532,f547,f548,f553,f555,f557,f565,f632,f634,f652,f712,f750,f757,f798,f984,f1213,f1220,f1242,f1243,f1247,f1286,f1296,f1329,f1331,f1335,f1423,f1424,f1432,f1436,f1440,f1448,f1453,f1457,f1458,f1459,f1474,f1488,f1527,f1528,f1606,f1657,f1658,f1771,f1775,f1781,f1782,f1783,f1784,f1918,f1922,f1926,f1927,f2045,f2049,f2053,f2060,f2070,f2071,f2075,f2079,f2080,f2081,f2090,f2098,f2118,f2123,f2129,f2137,f2142,f2167,f2168,f2172,f2474,f2475,f2572,f2682,f2683,f2715,f2811,f2812,f2906,f3019,f3020,f3171,f3195,f3196,f3286,f3378,f3379,f3424,f3506,f3507,f3646,f3703,f3704,f3774,f3846,f3847,f3922,f3994,f3995,f4063,f4205,f4206,f4373,f4527,f4528,f4601,f4669,f4670,f4931,f5005,f5006,f5071,f5160,f5161,f5214,f5230,f5242,f5243,f5248,f5253,f5255,f5268,f5330,f5331,f5365,f5369,f5423,f5440,f5508,f5509,f5572,f5576,f5601,f5635,f5647,f5648,f5667,f5672,f5679,f5684,f5686,f5707,f5712,f5719,f5724,f5726,f5735,f5737,f5742,f5746,f5747,f5748,f5749,f5753,f5756,f5758,f5759,f5760,f5761,f5765,f5766,f5781,f5804,f5817,f5818,f5823,f5836,f5837,f5892,f5904,f5905,f5909,f5948,f5960,f5964,f5971,f5972,f5979,f5980,f5984,f5988,f5993,f6002,f6005,f6010,f6014,f6017,f6021,f6025,f6029,f6030,f6034,f6038,f6039,f6048,f6049,f6053,f6110,f6114,f6140,f6178,f6179,f6248,f6298,f6320,f6331,f6332,f6337,f6348,f6352,f6357,f6366,f6373,f6377,f6381,f6382,f6383,f6384,f6385,f6389,f6399,f6400,f6404,f6408,f6415,f6416,f6427,f6440,f6441,f6446,f6456,f6501,f6505,f6509,f6513,f6517,f6521,f6525,f6529,f6530,f6534,f6538,f6542,f6546,f6550,f6554,f6558,f6562,f6566,f6570,f6574,f6578,f6582,f6586,f6590,f6594,f6598,f6602,f6606,f6610,f6613,f6620,f6623,f6625,f6626,f6627,f6628,f6629,f6630])). 0.95/1.18 % SZS output end Proof for theBenchmark 0.95/1.18 % ------------------------------ 0.95/1.18 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.95/1.18 % Termination reason: Refutation 0.95/1.18 0.95/1.18 % Memory used [KB]: 9466 0.95/1.18 % Time elapsed: 0.375 s 0.95/1.18 % ------------------------------ 0.95/1.18 % ------------------------------ 0.95/1.18 % Success in time 0.945 s 0.95/1.18 EOF