0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n164.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:24:55 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.28 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.59/0.78 % Time limit reached! 0.59/0.78 % ------------------------------ 0.59/0.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.59/0.78 % Termination reason: Time limit 0.59/0.78 % Termination phase: Saturation 0.59/0.78 0.59/0.78 % Memory used [KB]: 6908 0.59/0.78 % Time elapsed: 0.500 s 0.59/0.78 % ------------------------------ 0.59/0.78 % ------------------------------ 0.59/0.81 % 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 2.21/2.41 % Time limit reached! 2.21/2.41 % ------------------------------ 2.21/2.41 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.21/2.41 % Termination reason: Time limit 2.21/2.41 % Termination phase: Saturation 2.21/2.41 2.21/2.41 % Memory used [KB]: 25074 2.21/2.41 % Time elapsed: 1.600 s 2.21/2.41 % ------------------------------ 2.21/2.41 % ------------------------------ 2.24/2.45 % dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 3.18/3.45 % Time limit reached! 3.18/3.45 % ------------------------------ 3.18/3.45 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.18/3.45 % Termination reason: Time limit 3.18/3.45 % Termination phase: Saturation 3.18/3.45 3.18/3.45 % Memory used [KB]: 7164 3.18/3.45 % Time elapsed: 1.0000 s 3.18/3.45 % ------------------------------ 3.18/3.45 % ------------------------------ 3.28/3.49 % lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_74 on theBenchmark 13.13/13.28 % Time limit reached! 13.13/13.28 % ------------------------------ 13.13/13.28 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.13/13.28 % Termination reason: Time limit 13.13/13.28 % Termination phase: Saturation 13.13/13.28 13.13/13.28 % Memory used [KB]: 17014 13.13/13.28 % Time elapsed: 9.800 s 13.13/13.28 % ------------------------------ 13.13/13.28 % ------------------------------ 13.13/13.32 % dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 13.91/14.07 % Refutation found. Thanks to Tanya! 13.91/14.07 % SZS status Theorem for theBenchmark 13.91/14.07 % SZS output start Proof for theBenchmark 13.91/14.07 tff(type_def_5, type, uni: $tType). 13.91/14.07 tff(type_def_6, type, ty: $tType). 13.91/14.07 tff(type_def_7, type, bool1: $tType). 13.91/14.07 tff(type_def_8, type, tuple02: $tType). 13.91/14.07 tff(type_def_9, type, color1: $tType). 13.91/14.07 tff(type_def_10, type, tree1: $tType). 13.91/14.07 tff(func_def_0, type, witness1: ty > uni). 13.91/14.07 tff(func_def_1, type, int: ty). 13.91/14.07 tff(func_def_2, type, real: ty). 13.91/14.07 tff(func_def_3, type, bool: ty). 13.91/14.07 tff(func_def_4, type, true1: bool1). 13.91/14.07 tff(func_def_5, type, false1: bool1). 13.91/14.07 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 13.91/14.07 tff(func_def_7, type, tuple0: ty). 13.91/14.07 tff(func_def_8, type, tuple03: tuple02). 13.91/14.07 tff(func_def_9, type, qtmark: ty). 13.91/14.07 tff(func_def_10, type, color: ty). 13.91/14.07 tff(func_def_11, type, red1: color1). 13.91/14.07 tff(func_def_12, type, black1: color1). 13.91/14.07 tff(func_def_13, type, match_color1: (ty * color1 * uni * uni) > uni). 13.91/14.07 tff(func_def_14, type, tree: ty). 13.91/14.07 tff(func_def_15, type, leaf1: tree1). 13.91/14.07 tff(func_def_16, type, node1: (color1 * tree1 * $int * $int * tree1) > tree1). 13.91/14.07 tff(func_def_17, type, match_tree1: (ty * tree1 * uni * uni) > uni). 13.91/14.07 tff(func_def_18, type, node_proj_11: tree1 > color1). 13.91/14.07 tff(func_def_19, type, node_proj_21: tree1 > tree1). 13.91/14.07 tff(func_def_20, type, node_proj_31: tree1 > $int). 13.91/14.07 tff(func_def_21, type, node_proj_41: tree1 > $int). 13.91/14.07 tff(func_def_22, type, node_proj_51: tree1 > tree1). 13.91/14.07 tff(func_def_29, type, sK0: tree1). 13.91/14.07 tff(func_def_30, type, sK1: $int). 13.91/14.07 tff(func_def_31, type, sK2: $int). 13.91/14.07 tff(func_def_32, type, sK3: tree1). 13.91/14.07 tff(func_def_33, type, sK4: color1). 13.91/14.07 tff(func_def_34, type, sK5: tree1). 13.91/14.07 tff(func_def_35, type, sK6: $int). 13.91/14.07 tff(func_def_36, type, sK7: $int). 13.91/14.07 tff(func_def_37, type, sK8: tree1). 13.91/14.07 tff(func_def_38, type, sK9: color1). 13.91/14.07 tff(func_def_39, type, sK10: tree1). 13.91/14.07 tff(func_def_40, type, sK11: $int). 13.91/14.07 tff(func_def_41, type, sK12: $int). 13.91/14.07 tff(func_def_42, type, sK13: tree1). 13.91/14.07 tff(func_def_43, type, sK14: color1). 13.91/14.07 tff(func_def_44, type, sK15: tree1). 13.91/14.07 tff(func_def_45, type, sK16: $int). 13.91/14.07 tff(func_def_46, type, sK17: $int). 13.91/14.07 tff(func_def_47, type, sK18: tree1). 13.91/14.07 tff(func_def_48, type, sK19: color1). 13.91/14.07 tff(func_def_49, type, sK20: tree1). 13.91/14.07 tff(func_def_50, type, sK21: $int). 13.91/14.07 tff(func_def_51, type, sK22: $int). 13.91/14.07 tff(func_def_52, type, sK23: tree1). 13.91/14.07 tff(func_def_53, type, sK24: color1). 13.91/14.07 tff(func_def_54, type, sK25: tree1). 13.91/14.07 tff(func_def_55, type, sK26: $int). 13.91/14.07 tff(func_def_56, type, sK27: $int). 13.91/14.07 tff(func_def_57, type, sK28: tree1). 13.91/14.07 tff(func_def_58, type, sK29: tree1 > $int). 13.91/14.07 tff(func_def_59, type, sK30: ($int * tree1) > $int). 13.91/14.07 tff(func_def_60, type, sK31: ($int * tree1) > $int). 13.91/14.07 tff(func_def_61, type, sK32: ($int * tree1) > $int). 13.91/14.07 tff(func_def_62, type, sK33: ($int * tree1) > $int). 13.91/14.07 tff(func_def_63, type, sK34: tree1 > $int). 13.91/14.07 tff(func_def_64, type, sK35: tree1 > $int). 13.91/14.07 tff(pred_def_1, type, sort1: (ty * uni) > $o). 13.91/14.07 tff(pred_def_2, type, memt1: (tree1 * $int * $int) > $o). 13.91/14.07 tff(pred_def_3, type, lt_tree1: ($int * tree1) > $o). 13.91/14.07 tff(pred_def_4, type, gt_tree1: ($int * tree1) > $o). 13.91/14.07 tff(pred_def_5, type, bst1: tree1 > $o). 13.91/14.07 tff(pred_def_6, type, is_not_red1: tree1 > $o). 13.91/14.07 tff(pred_def_7, type, rbtree1: ($int * tree1) > $o). 13.91/14.07 tff(pred_def_8, type, almost_rbtree1: ($int * tree1) > $o). 13.91/14.07 tff(f2,axiom,( 13.91/14.07 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (lt_tree1(X8,X11) => (lt_tree1(X8,X12) => ($less(X9,X8) => lt_tree1(X8,node1(X13,X11,X9,X10,X12)))))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_tree_node)). 13.91/14.07 tff(f8,axiom,( 13.91/14.07 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (lt_tree1(X8,node1(X13,X11,X9,X10,X12)) => lt_tree1(X8,X12))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_right)). 13.91/14.07 tff(f12,axiom,( 13.91/14.07 ! [X20 : $int,X21 : $int,X22 : $int,X23 : $int,X0 : tree1,X24 : tree1,X13 : tree1,X25 : color1,X26 : color1,X27 : color1,X28 : color1] : (bst1(node1(X25,X0,X20,X22,node1(X26,X24,X21,X23,X13))) => bst1(node1(X27,node1(X28,X0,X20,X22,X24),X21,X23,X13)))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate_left)). 13.91/14.07 tff(f13,axiom,( 13.91/14.07 ! [X13 : color1,X29 : color1,X30 : $int,X10 : $int,X11 : tree1,X12 : tree1] : (bst1(node1(X13,X11,X30,X10,X12)) => bst1(node1(X29,X11,X30,X10,X12)))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_color)). 13.91/14.07 tff(f14,axiom,( 13.91/14.07 ! [X3 : color1] : (red1 = X3 | black1 = X3)), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',color_inversion)). 13.91/14.07 tff(f22,axiom,( 13.91/14.07 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (gt_tree1(X8,node1(X13,X11,X9,X10,X12)) => gt_tree1(X8,X11))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_left)). 13.91/14.07 tff(f23,axiom,( 13.91/14.07 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (lt_tree1(X8,node1(X13,X11,X9,X10,X12)) => $less(X9,X8))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_node_lt)). 13.91/14.07 tff(f27,axiom,( 13.91/14.07 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (lt_tree1(X8,node1(X13,X11,X9,X10,X12)) => lt_tree1(X8,X11))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_left)). 13.91/14.07 tff(f31,axiom,( 13.91/14.07 ! [X30 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (bst1(node1(X13,X11,X30,X10,X12)) => bst1(X11))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_left)). 13.91/14.07 tff(f34,axiom,( 13.91/14.07 ! [X30 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (bst1(node1(X13,X11,X30,X10,X12)) => bst1(X12))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_right)). 13.91/14.07 tff(f35,axiom,( 13.91/14.07 ! [X20 : $int,X21 : $int,X22 : $int,X23 : $int,X0 : tree1,X24 : tree1,X13 : tree1,X25 : color1,X26 : color1,X27 : color1,X28 : color1] : (bst1(node1(X27,node1(X28,X0,X20,X22,X24),X21,X23,X13)) => bst1(node1(X25,X0,X20,X22,node1(X26,X24,X21,X23,X13))))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate_right)). 13.91/14.07 tff(f40,axiom,( 13.91/14.07 ! [X10 : color1,X34 : tree1,X35 : $int,X36 : $int,X37 : tree1] : leaf1 != node1(X10,X34,X35,X36,X37)), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leaf_Node)). 13.91/14.07 tff(f45,conjecture,( 13.91/14.07 ! [X11 : tree1,X30 : $int,X10 : $int,X12 : tree1] : ((gt_tree1(X30,X12) & bst1(X11) & bst1(X12) & lt_tree1(X30,X11)) => ! [X8 : color1,X16 : tree1,X17 : $int,X18 : $int,X19 : tree1] : (node1(X8,X16,X17,X18,X19) = X11 => (! [X38 : color1,X39 : tree1,X40 : $int,X41 : $int,X42 : tree1] : (node1(X38,X39,X40,X41,X42) = X19 => ((red1 = X38 => (! [X43 : color1,X44 : tree1,X45 : $int,X46 : $int,X47 : tree1] : (node1(X43,X44,X45,X46,X47) = X16 => ((black1 = X43 => (red1 = X8 => bst1(node1(red1,node1(black1,X16,X17,X18,X39),X40,X41,node1(black1,X42,X30,X10,X12))))) & (red1 = X43 => (red1 = X8 => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X17,X18,node1(black1,X19,X30,X10,X12))))))) & (leaf1 = X16 => (red1 = X8 => bst1(node1(red1,node1(black1,X16,X17,X18,X39),X40,X41,node1(black1,X42,X30,X10,X12))))))) & (black1 = X38 => ! [X43 : color1,X44 : tree1,X45 : $int,X46 : $int,X47 : tree1] : (node1(X43,X44,X45,X46,X47) = X16 => (red1 = X43 => (red1 = X8 => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X17,X18,node1(black1,X19,X30,X10,X12))))))))) & (leaf1 = X19 => ! [X38 : color1,X39 : tree1,X40 : $int,X41 : $int,X42 : tree1] : (node1(X38,X39,X40,X41,X42) = X16 => (red1 = X38 => (red1 = X8 => bst1(node1(red1,node1(black1,X39,X40,X41,X42),X17,X18,node1(black1,X19,X30,X10,X12))))))))))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_lbalance)). 13.91/14.07 tff(f46,negated_conjecture,( 13.91/14.07 ~! [X11 : tree1,X30 : $int,X10 : $int,X12 : tree1] : ((gt_tree1(X30,X12) & bst1(X11) & bst1(X12) & lt_tree1(X30,X11)) => ! [X8 : color1,X16 : tree1,X17 : $int,X18 : $int,X19 : tree1] : (node1(X8,X16,X17,X18,X19) = X11 => (! [X38 : color1,X39 : tree1,X40 : $int,X41 : $int,X42 : tree1] : (node1(X38,X39,X40,X41,X42) = X19 => ((red1 = X38 => (! [X43 : color1,X44 : tree1,X45 : $int,X46 : $int,X47 : tree1] : (node1(X43,X44,X45,X46,X47) = X16 => ((black1 = X43 => (red1 = X8 => bst1(node1(red1,node1(black1,X16,X17,X18,X39),X40,X41,node1(black1,X42,X30,X10,X12))))) & (red1 = X43 => (red1 = X8 => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X17,X18,node1(black1,X19,X30,X10,X12))))))) & (leaf1 = X16 => (red1 = X8 => bst1(node1(red1,node1(black1,X16,X17,X18,X39),X40,X41,node1(black1,X42,X30,X10,X12))))))) & (black1 = X38 => ! [X43 : color1,X44 : tree1,X45 : $int,X46 : $int,X47 : tree1] : (node1(X43,X44,X45,X46,X47) = X16 => (red1 = X43 => (red1 = X8 => bst1(node1(red1,node1(black1,X44,X45,X46,X47),X17,X18,node1(black1,X19,X30,X10,X12))))))))) & (leaf1 = X19 => ! [X38 : color1,X39 : tree1,X40 : $int,X41 : $int,X42 : tree1] : (node1(X38,X39,X40,X41,X42) = X16 => (red1 = X38 => (red1 = X8 => bst1(node1(red1,node1(black1,X39,X40,X41,X42),X17,X18,node1(black1,X19,X30,X10,X12))))))))))), 13.91/14.07 inference(negated_conjecture,[],[f45])). 13.91/14.07 tff(f57,axiom,( 13.91/14.07 bst1(leaf1) & ! [X8 : color1,X16 : tree1,X17 : $int,X18 : $int,X19 : tree1] : ((gt_tree1(X17,X19) & lt_tree1(X17,X16) & bst1(X19) & bst1(X16)) <=> bst1(node1(X8,X16,X17,X18,X19)))), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_def)). 13.91/14.07 tff(f59,axiom,( 13.91/14.07 red1 != black1), 13.91/14.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',red_Black)). 13.91/14.07 tff(f64,plain,( 13.91/14.07 ~! [X0 : tree1,X1 : $int,X2 : $int,X3 : tree1] : ((gt_tree1(X1,X3) & bst1(X0) & bst1(X3) & lt_tree1(X1,X0)) => ! [X4 : color1,X5 : tree1,X6 : $int,X7 : $int,X8 : tree1] : (node1(X4,X5,X6,X7,X8) = X0 => (! [X9 : color1,X10 : tree1,X11 : $int,X12 : $int,X13 : tree1] : (node1(X9,X10,X11,X12,X13) = X8 => ((red1 = X9 => (! [X14 : color1,X15 : tree1,X16 : $int,X17 : $int,X18 : tree1] : (node1(X14,X15,X16,X17,X18) = X5 => ((black1 = X14 => (red1 = X4 => bst1(node1(red1,node1(black1,X5,X6,X7,X10),X11,X12,node1(black1,X13,X1,X2,X3))))) & (red1 = X14 => (red1 = X4 => bst1(node1(red1,node1(black1,X15,X16,X17,X18),X6,X7,node1(black1,X8,X1,X2,X3))))))) & (leaf1 = X5 => (red1 = X4 => bst1(node1(red1,node1(black1,X5,X6,X7,X10),X11,X12,node1(black1,X13,X1,X2,X3))))))) & (black1 = X9 => ! [X19 : color1,X20 : tree1,X21 : $int,X22 : $int,X23 : tree1] : (node1(X19,X20,X21,X22,X23) = X5 => (red1 = X19 => (red1 = X4 => bst1(node1(red1,node1(black1,X20,X21,X22,X23),X6,X7,node1(black1,X8,X1,X2,X3))))))))) & (leaf1 = X8 => ! [X24 : color1,X25 : tree1,X26 : $int,X27 : $int,X28 : tree1] : (node1(X24,X25,X26,X27,X28) = X5 => (red1 = X24 => (red1 = X4 => bst1(node1(red1,node1(black1,X25,X26,X27,X28),X6,X7,node1(black1,X8,X1,X2,X3))))))))))), 13.91/14.07 inference(rectify,[],[f46])). 13.91/14.07 tff(f66,plain,( 13.91/14.07 bst1(leaf1) & ! [X0 : color1,X1 : tree1,X2 : $int,X3 : $int,X4 : tree1] : ((gt_tree1(X2,X4) & lt_tree1(X2,X1) & bst1(X4) & bst1(X1)) <=> bst1(node1(X0,X1,X2,X3,X4)))), 13.91/14.07 inference(rectify,[],[f57])). 13.91/14.07 tff(f73,plain,( 13.91/14.07 ! [X0 : color1] : (red1 = X0 | black1 = X0)), 13.91/14.07 inference(rectify,[],[f14])). 13.91/14.07 tff(f89,plain,( 13.91/14.07 ! [X0 : color1,X1 : tree1,X2 : $int,X3 : $int,X4 : tree1] : leaf1 != node1(X0,X1,X2,X3,X4)), 13.91/14.07 inference(rectify,[],[f40])). 13.91/14.07 tff(f95,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(node1(X4,X2,X0,X1,X3)) => bst1(X3))), 13.91/14.07 inference(rectify,[],[f34])). 13.91/14.07 tff(f96,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(node1(X4,X2,X0,X1,X3)) => bst1(X2))), 13.91/14.07 inference(rectify,[],[f31])). 13.91/14.07 tff(f101,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,X3) => (lt_tree1(X0,X4) => ($less(X1,X0) => lt_tree1(X0,node1(X5,X3,X1,X2,X4)))))), 13.91/14.07 inference(rectify,[],[f2])). 13.91/14.07 tff(f102,plain,( 13.91/14.07 ! [X0 : color1,X1 : color1,X2 : $int,X3 : $int,X4 : tree1,X5 : tree1] : (bst1(node1(X0,X4,X2,X3,X5)) => bst1(node1(X1,X4,X2,X3,X5)))), 13.91/14.07 inference(rectify,[],[f13])). 13.91/14.07 tff(f104,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,node1(X5,X3,X1,X2,X4)) => $less(X1,X0))), 13.91/14.07 inference(rectify,[],[f23])). 13.91/14.07 tff(f105,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,node1(X5,X3,X1,X2,X4)) => lt_tree1(X0,X3))), 13.91/14.07 inference(rectify,[],[f27])). 13.91/14.07 tff(f106,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,node1(X5,X3,X1,X2,X4)) => lt_tree1(X0,X4))), 13.91/14.07 inference(rectify,[],[f8])). 13.91/14.07 tff(f108,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (gt_tree1(X0,node1(X5,X3,X1,X2,X4)) => gt_tree1(X0,X3))), 13.91/14.07 inference(rectify,[],[f22])). 13.91/14.07 tff(f110,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : tree1,X5 : tree1,X6 : tree1,X7 : color1,X8 : color1,X9 : color1,X10 : color1] : (bst1(node1(X9,node1(X10,X4,X0,X2,X5),X1,X3,X6)) => bst1(node1(X7,X4,X0,X2,node1(X8,X5,X1,X3,X6))))), 13.91/14.07 inference(rectify,[],[f35])). 13.91/14.07 tff(f111,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : tree1,X5 : tree1,X6 : tree1,X7 : color1,X8 : color1,X9 : color1,X10 : color1] : (bst1(node1(X7,X4,X0,X2,node1(X8,X5,X1,X3,X6))) => bst1(node1(X9,node1(X10,X4,X0,X2,X5),X1,X3,X6)))), 13.91/14.07 inference(rectify,[],[f12])). 13.91/14.07 tff(f112,plain,( 13.91/14.07 ? [X0 : tree1,X1 : $int,X2 : $int,X3 : tree1] : (? [X4 : color1,X5 : tree1,X6 : $int,X7 : $int,X8 : tree1] : ((? [X9 : color1,X10 : tree1,X11 : $int,X12 : $int,X13 : tree1] : ((((? [X14 : color1,X15 : tree1,X16 : $int,X17 : $int,X18 : tree1] : ((((~bst1(node1(red1,node1(black1,X5,X6,X7,X10),X11,X12,node1(black1,X13,X1,X2,X3))) & red1 = X4) & black1 = X14) | ((~bst1(node1(red1,node1(black1,X15,X16,X17,X18),X6,X7,node1(black1,X8,X1,X2,X3))) & red1 = X4) & red1 = X14)) & node1(X14,X15,X16,X17,X18) = X5) | ((~bst1(node1(red1,node1(black1,X5,X6,X7,X10),X11,X12,node1(black1,X13,X1,X2,X3))) & red1 = X4) & leaf1 = X5)) & red1 = X9) | (? [X19 : color1,X20 : tree1,X21 : $int,X22 : $int,X23 : tree1] : (((~bst1(node1(red1,node1(black1,X20,X21,X22,X23),X6,X7,node1(black1,X8,X1,X2,X3))) & red1 = X4) & red1 = X19) & node1(X19,X20,X21,X22,X23) = X5) & black1 = X9)) & node1(X9,X10,X11,X12,X13) = X8) | (? [X24 : color1,X25 : tree1,X26 : $int,X27 : $int,X28 : tree1] : (((~bst1(node1(red1,node1(black1,X25,X26,X27,X28),X6,X7,node1(black1,X8,X1,X2,X3))) & red1 = X4) & red1 = X24) & node1(X24,X25,X26,X27,X28) = X5) & leaf1 = X8)) & node1(X4,X5,X6,X7,X8) = X0) & (gt_tree1(X1,X3) & bst1(X0) & bst1(X3) & lt_tree1(X1,X0)))), 13.91/14.07 inference(ennf_transformation,[],[f64])). 13.91/14.07 tff(f113,plain,( 13.91/14.07 ? [X0 : tree1,X1 : $int,X2 : $int,X3 : tree1] : (? [X4 : color1,X5 : tree1,X6 : $int,X7 : $int,X8 : tree1] : ((? [X9 : color1,X10 : tree1,X11 : $int,X12 : $int,X13 : tree1] : ((((? [X14 : color1,X15 : tree1,X16 : $int,X17 : $int,X18 : tree1] : (((~bst1(node1(red1,node1(black1,X5,X6,X7,X10),X11,X12,node1(black1,X13,X1,X2,X3))) & red1 = X4 & black1 = X14) | (~bst1(node1(red1,node1(black1,X15,X16,X17,X18),X6,X7,node1(black1,X8,X1,X2,X3))) & red1 = X4 & red1 = X14)) & node1(X14,X15,X16,X17,X18) = X5) | (~bst1(node1(red1,node1(black1,X5,X6,X7,X10),X11,X12,node1(black1,X13,X1,X2,X3))) & red1 = X4 & leaf1 = X5)) & red1 = X9) | (? [X19 : color1,X20 : tree1,X21 : $int,X22 : $int,X23 : tree1] : (~bst1(node1(red1,node1(black1,X20,X21,X22,X23),X6,X7,node1(black1,X8,X1,X2,X3))) & red1 = X4 & red1 = X19 & node1(X19,X20,X21,X22,X23) = X5) & black1 = X9)) & node1(X9,X10,X11,X12,X13) = X8) | (? [X24 : color1,X25 : tree1,X26 : $int,X27 : $int,X28 : tree1] : (~bst1(node1(red1,node1(black1,X25,X26,X27,X28),X6,X7,node1(black1,X8,X1,X2,X3))) & red1 = X4 & red1 = X24 & node1(X24,X25,X26,X27,X28) = X5) & leaf1 = X8)) & node1(X4,X5,X6,X7,X8) = X0) & gt_tree1(X1,X3) & bst1(X0) & bst1(X3) & lt_tree1(X1,X0))), 13.91/14.07 inference(flattening,[],[f112])). 13.91/14.07 tff(f132,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(X3) | ~bst1(node1(X4,X2,X0,X1,X3)))), 13.91/14.07 inference(ennf_transformation,[],[f95])). 13.91/14.07 tff(f133,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(X2) | ~bst1(node1(X4,X2,X0,X1,X3)))), 13.91/14.07 inference(ennf_transformation,[],[f96])). 13.91/14.07 tff(f139,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (((lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | ~$less(X1,X0)) | ~lt_tree1(X0,X4)) | ~lt_tree1(X0,X3))), 13.91/14.07 inference(ennf_transformation,[],[f101])). 13.91/14.07 tff(f140,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | ~$less(X1,X0) | ~lt_tree1(X0,X4) | ~lt_tree1(X0,X3))), 13.91/14.07 inference(flattening,[],[f139])). 13.91/14.07 tff(f141,plain,( 13.91/14.07 ! [X0 : color1,X1 : color1,X2 : $int,X3 : $int,X4 : tree1,X5 : tree1] : (bst1(node1(X1,X4,X2,X3,X5)) | ~bst1(node1(X0,X4,X2,X3,X5)))), 13.91/14.07 inference(ennf_transformation,[],[f102])). 13.91/14.07 tff(f143,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : ($less(X1,X0) | ~lt_tree1(X0,node1(X5,X3,X1,X2,X4)))), 13.91/14.07 inference(ennf_transformation,[],[f104])). 13.91/14.07 tff(f144,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,X3) | ~lt_tree1(X0,node1(X5,X3,X1,X2,X4)))), 13.91/14.07 inference(ennf_transformation,[],[f105])). 13.91/14.07 tff(f145,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,X4) | ~lt_tree1(X0,node1(X5,X3,X1,X2,X4)))), 13.91/14.07 inference(ennf_transformation,[],[f106])). 13.91/14.07 tff(f147,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (gt_tree1(X0,X3) | ~gt_tree1(X0,node1(X5,X3,X1,X2,X4)))), 13.91/14.07 inference(ennf_transformation,[],[f108])). 13.91/14.07 tff(f150,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : tree1,X5 : tree1,X6 : tree1,X7 : color1,X8 : color1,X9 : color1,X10 : color1] : (bst1(node1(X7,X4,X0,X2,node1(X8,X5,X1,X3,X6))) | ~bst1(node1(X9,node1(X10,X4,X0,X2,X5),X1,X3,X6)))), 13.91/14.07 inference(ennf_transformation,[],[f110])). 13.91/14.07 tff(f151,plain,( 13.91/14.07 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : tree1,X5 : tree1,X6 : tree1,X7 : color1,X8 : color1,X9 : color1,X10 : color1] : (bst1(node1(X9,node1(X10,X4,X0,X2,X5),X1,X3,X6)) | ~bst1(node1(X7,X4,X0,X2,node1(X8,X5,X1,X3,X6))))), 13.91/14.07 inference(ennf_transformation,[],[f111])). 13.91/14.07 tff(f172,plain,( 13.91/14.07 leaf1 = sK8 | black1 = sK9 | ~bst1(node1(red1,node1(black1,sK25,sK26,sK27,sK28),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3)))), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f178,plain,( 13.91/14.07 leaf1 = sK8 | black1 = sK9 | red1 = sK24 | ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3)))), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f543,plain,( 13.91/14.07 red1 = sK4), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f899,plain,( 13.91/14.07 leaf1 = sK8 | black1 = sK9 | ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3))) | node1(sK24,sK25,sK26,sK27,sK28) = sK5), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f918,plain,( 13.91/14.07 leaf1 = sK8 | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | red1 = sK9), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f919,plain,( 13.91/14.07 leaf1 = sK8 | red1 = sK19 | red1 = sK9), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f921,plain,( 13.91/14.07 leaf1 = sK8 | ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | red1 = sK9), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f927,plain,( 13.91/14.07 node1(sK14,sK15,sK16,sK17,sK18) = sK5 | node1(sK9,sK10,sK11,sK12,sK13) = sK8), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f928,plain,( 13.91/14.07 red1 = sK14 | node1(sK9,sK10,sK11,sK12,sK13) = sK8), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f930,plain,( 13.91/14.07 ~bst1(node1(red1,node1(black1,sK15,sK16,sK17,sK18),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | node1(sK9,sK10,sK11,sK12,sK13) = sK8), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f932,plain,( 13.91/14.07 node1(sK4,sK5,sK6,sK7,sK8) = sK0), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f933,plain,( 13.91/14.07 lt_tree1(sK1,sK0)), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f934,plain,( 13.91/14.07 bst1(sK3)), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f935,plain,( 13.91/14.07 bst1(sK0)), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f936,plain,( 13.91/14.07 gt_tree1(sK1,sK3)), 13.91/14.07 inference(cnf_transformation,[],[f113])). 13.91/14.07 tff(f939,plain,( 13.91/14.07 red1 != black1), 13.91/14.07 inference(cnf_transformation,[],[f59])). 13.91/14.07 tff(f944,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~gt_tree1(X2,X4) | ~bst1(X1) | ~bst1(X4) | ~lt_tree1(X2,X1) | bst1(node1(X0,X1,X2,X3,X4))) )), 13.91/14.07 inference(cnf_transformation,[],[f66])). 13.91/14.07 tff(f945,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | bst1(X1)) )), 13.91/14.07 inference(cnf_transformation,[],[f66])). 13.91/14.07 tff(f946,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | bst1(X4)) )), 13.91/14.07 inference(cnf_transformation,[],[f66])). 13.91/14.07 tff(f947,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | lt_tree1(X2,X1)) )), 13.91/14.07 inference(cnf_transformation,[],[f66])). 13.91/14.07 tff(f948,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | gt_tree1(X2,X4)) )), 13.91/14.07 inference(cnf_transformation,[],[f66])). 13.91/14.07 tff(f973,plain,( 13.91/14.07 ( ! [X0:color1] : (black1 = X0 | red1 = X0) )), 13.91/14.07 inference(cnf_transformation,[],[f73])). 13.91/14.07 tff(f1003,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (leaf1 != node1(X0,X1,X2,X3,X4)) )), 13.91/14.07 inference(cnf_transformation,[],[f89])). 13.91/14.07 tff(f1009,plain,( 13.91/14.07 ( ! [X4:color1,X2:tree1,X0:$int,X3:tree1,X1:$int] : (~bst1(node1(X4,X2,X0,X1,X3)) | bst1(X3)) )), 13.91/14.07 inference(cnf_transformation,[],[f132])). 13.91/14.07 tff(f1010,plain,( 13.91/14.07 ( ! [X4:color1,X2:tree1,X0:$int,X3:tree1,X1:$int] : (~bst1(node1(X4,X2,X0,X1,X3)) | bst1(X2)) )), 13.91/14.07 inference(cnf_transformation,[],[f133])). 13.91/14.07 tff(f1015,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | ~lt_tree1(X0,X4) | ~$less(X1,X0) | ~lt_tree1(X0,X3)) )), 13.91/14.07 inference(cnf_transformation,[],[f140])). 13.91/14.07 tff(f1016,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:color1,X5:tree1,X3:$int,X1:color1] : (~bst1(node1(X0,X4,X2,X3,X5)) | bst1(node1(X1,X4,X2,X3,X5))) )), 13.91/14.07 inference(cnf_transformation,[],[f141])). 13.91/14.07 tff(f1018,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | $less(X1,X0)) )), 13.91/14.07 inference(cnf_transformation,[],[f143])). 13.91/14.07 tff(f1019,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | lt_tree1(X0,X3)) )), 13.91/14.07 inference(cnf_transformation,[],[f144])). 13.91/14.07 tff(f1020,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | lt_tree1(X0,X4)) )), 13.91/14.07 inference(cnf_transformation,[],[f145])). 13.91/14.07 tff(f1022,plain,( 13.91/14.07 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~gt_tree1(X0,node1(X5,X3,X1,X2,X4)) | gt_tree1(X0,X3)) )), 13.91/14.07 inference(cnf_transformation,[],[f147])). 13.91/14.07 tff(f1025,plain,( 13.91/14.07 ( ! [X6:tree1,X4:tree1,X2:$int,X0:$int,X10:color1,X8:color1,X7:color1,X5:tree1,X3:$int,X1:$int,X9:color1] : (~bst1(node1(X9,node1(X10,X4,X0,X2,X5),X1,X3,X6)) | bst1(node1(X7,X4,X0,X2,node1(X8,X5,X1,X3,X6)))) )), 13.91/14.07 inference(cnf_transformation,[],[f150])). 13.91/14.07 tff(f1026,plain,( 13.91/14.07 ( ! [X6:tree1,X4:tree1,X2:$int,X0:$int,X10:color1,X8:color1,X7:color1,X5:tree1,X3:$int,X1:$int,X9:color1] : (~bst1(node1(X7,X4,X0,X2,node1(X8,X5,X1,X3,X6))) | bst1(node1(X9,node1(X10,X4,X0,X2,X5),X1,X3,X6))) )), 13.91/14.07 inference(cnf_transformation,[],[f151])). 13.91/14.07 tff(f1065,plain,( 13.91/14.07 spl36_0 <=> node1(sK9,sK10,sK11,sK12,sK13) = sK8), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_0])])). 13.91/14.07 tff(f1066,plain,( 13.91/14.07 node1(sK9,sK10,sK11,sK12,sK13) = sK8 | ~spl36_0), 13.91/14.07 inference(avatar_component_clause,[],[f1065])). 13.91/14.07 tff(f1068,plain,( 13.91/14.07 spl36_3 <=> leaf1 != sK8), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_3])])). 13.91/14.07 tff(f1071,plain,( 13.91/14.07 spl36_2 <=> leaf1 = sK8), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_2])])). 13.91/14.07 tff(f1078,plain,( 13.91/14.07 spl36_5 <=> ~bst1(node1(red1,node1(black1,sK15,sK16,sK17,sK18),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3)))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_5])])). 13.91/14.07 tff(f1079,plain,( 13.91/14.07 ~bst1(node1(red1,node1(black1,sK15,sK16,sK17,sK18),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | ~spl36_5), 13.91/14.07 inference(avatar_component_clause,[],[f1078])). 13.91/14.07 tff(f1080,plain,( 13.91/14.07 spl36_0 | ~spl36_5), 13.91/14.07 inference(avatar_split_clause,[],[f930,f1078,f1065])). 13.91/14.07 tff(f1085,plain,( 13.91/14.07 spl36_6 <=> red1 = sK4), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_6])])). 13.91/14.07 tff(f1086,plain,( 13.91/14.07 red1 = sK4 | ~spl36_6), 13.91/14.07 inference(avatar_component_clause,[],[f1085])). 13.91/14.07 tff(f1092,plain,( 13.91/14.07 spl36_8 <=> red1 = sK14), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_8])])). 13.91/14.07 tff(f1093,plain,( 13.91/14.07 red1 = sK14 | ~spl36_8), 13.91/14.07 inference(avatar_component_clause,[],[f1092])). 13.91/14.07 tff(f1094,plain,( 13.91/14.07 spl36_0 | spl36_8), 13.91/14.07 inference(avatar_split_clause,[],[f928,f1092,f1065])). 13.91/14.07 tff(f1099,plain,( 13.91/14.07 spl36_10 <=> node1(sK14,sK15,sK16,sK17,sK18) = sK5), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_10])])). 13.91/14.07 tff(f1100,plain,( 13.91/14.07 node1(sK14,sK15,sK16,sK17,sK18) = sK5 | ~spl36_10), 13.91/14.07 inference(avatar_component_clause,[],[f1099])). 13.91/14.07 tff(f1101,plain,( 13.91/14.07 spl36_0 | spl36_10), 13.91/14.07 inference(avatar_split_clause,[],[f927,f1099,f1065])). 13.91/14.07 tff(f1106,plain,( 13.91/14.07 spl36_12 <=> red1 = sK9), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_12])])). 13.91/14.07 tff(f1107,plain,( 13.91/14.07 red1 = sK9 | ~spl36_12), 13.91/14.07 inference(avatar_component_clause,[],[f1106])). 13.91/14.07 tff(f1112,plain,( 13.91/14.07 spl36_15 <=> ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3)))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_15])])). 13.91/14.07 tff(f1113,plain,( 13.91/14.07 ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | ~spl36_15), 13.91/14.07 inference(avatar_component_clause,[],[f1112])). 13.91/14.07 tff(f1114,plain,( 13.91/14.07 spl36_12 | ~spl36_15 | spl36_2), 13.91/14.07 inference(avatar_split_clause,[],[f921,f1071,f1112,f1106])). 13.91/14.07 tff(f1120,plain,( 13.91/14.07 spl36_16 <=> red1 = sK19), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_16])])). 13.91/14.07 tff(f1121,plain,( 13.91/14.07 red1 = sK19 | ~spl36_16), 13.91/14.07 inference(avatar_component_clause,[],[f1120])). 13.91/14.07 tff(f1122,plain,( 13.91/14.07 spl36_12 | spl36_16 | spl36_2), 13.91/14.07 inference(avatar_split_clause,[],[f919,f1071,f1120,f1106])). 13.91/14.07 tff(f1127,plain,( 13.91/14.07 spl36_18 <=> node1(sK19,sK20,sK21,sK22,sK23) = sK5), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_18])])). 13.91/14.07 tff(f1128,plain,( 13.91/14.07 node1(sK19,sK20,sK21,sK22,sK23) = sK5 | ~spl36_18), 13.91/14.07 inference(avatar_component_clause,[],[f1127])). 13.91/14.07 tff(f1129,plain,( 13.91/14.07 spl36_12 | spl36_18 | spl36_2), 13.91/14.07 inference(avatar_split_clause,[],[f918,f1071,f1127,f1106])). 13.91/14.07 tff(f1150,plain,( 13.91/14.07 spl36_20 <=> node1(sK24,sK25,sK26,sK27,sK28) = sK5), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_20])])). 13.91/14.07 tff(f1151,plain,( 13.91/14.07 node1(sK24,sK25,sK26,sK27,sK28) = sK5 | ~spl36_20), 13.91/14.07 inference(avatar_component_clause,[],[f1150])). 13.91/14.07 tff(f1162,plain,( 13.91/14.07 spl36_24 <=> black1 = sK9), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_24])])). 13.91/14.07 tff(f1163,plain,( 13.91/14.07 black1 = sK9 | ~spl36_24), 13.91/14.07 inference(avatar_component_clause,[],[f1162])). 13.91/14.07 tff(f1170,plain,( 13.91/14.07 spl36_27 <=> ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3)))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_27])])). 13.91/14.07 tff(f1171,plain,( 13.91/14.07 ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3))) | ~spl36_27), 13.91/14.07 inference(avatar_component_clause,[],[f1170])). 13.91/14.07 tff(f1172,plain,( 13.91/14.07 spl36_20 | ~spl36_27 | spl36_24 | spl36_2), 13.91/14.07 inference(avatar_split_clause,[],[f899,f1071,f1162,f1170,f1150])). 13.91/14.07 tff(f1249,plain,( 13.91/14.07 spl36_28 <=> red1 = sK24), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_28])])). 13.91/14.07 tff(f1250,plain,( 13.91/14.07 red1 = sK24 | ~spl36_28), 13.91/14.07 inference(avatar_component_clause,[],[f1249])). 13.91/14.07 tff(f1266,plain,( 13.91/14.07 spl36_33 <=> ~bst1(node1(red1,node1(black1,sK25,sK26,sK27,sK28),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3)))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_33])])). 13.91/14.07 tff(f1267,plain,( 13.91/14.07 ~bst1(node1(red1,node1(black1,sK25,sK26,sK27,sK28),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | ~spl36_33), 13.91/14.07 inference(avatar_component_clause,[],[f1266])). 13.91/14.07 tff(f1514,plain,( 13.91/14.07 spl36_6), 13.91/14.07 inference(avatar_split_clause,[],[f543,f1085])). 13.91/14.07 tff(f1839,plain,( 13.91/14.07 ~spl36_27 | spl36_28 | spl36_24 | spl36_2), 13.91/14.07 inference(avatar_split_clause,[],[f178,f1071,f1162,f1249,f1170])). 13.91/14.07 tff(f1844,plain,( 13.91/14.07 ~spl36_27 | ~spl36_33 | spl36_24 | spl36_2), 13.91/14.07 inference(avatar_split_clause,[],[f172,f1071,f1162,f1266,f1170])). 13.91/14.07 tff(f1863,plain,( 13.91/14.07 ( ! [X2:$int,X0:tree1,X1:color1] : (~bst1(X0) | ~bst1(sK3) | ~lt_tree1(sK1,X0) | bst1(node1(X1,X0,sK1,X2,sK3))) )), 13.91/14.07 inference(resolution,[],[f936,f944])). 13.91/14.07 tff(f1864,plain,( 13.91/14.07 ( ! [X2:$int,X0:tree1,X1:color1] : (~lt_tree1(sK1,X0) | ~bst1(X0) | bst1(node1(X1,X0,sK1,X2,sK3))) )), 13.91/14.07 inference(subsumption_resolution,[],[f1863,f934])). 13.91/14.07 tff(f1947,plain,( 13.91/14.07 node1(red1,sK5,sK6,sK7,sK8) = sK0 | ~spl36_6), 13.91/14.07 inference(forward_demodulation,[],[f932,f1086])). 13.91/14.07 tff(f1949,plain,( 13.91/14.07 node1(black1,sK10,sK11,sK12,sK13) = sK8 | red1 = sK9 | ~spl36_0), 13.91/14.07 inference(superposition,[],[f1066,f973])). 13.91/14.07 tff(f1964,plain,( 13.91/14.07 ~bst1(sK8) | bst1(sK13) | ~spl36_0), 13.91/14.07 inference(superposition,[],[f1009,f1066])). 13.91/14.07 tff(f1965,plain,( 13.91/14.07 ~bst1(sK8) | bst1(sK10) | ~spl36_0), 13.91/14.07 inference(superposition,[],[f1010,f1066])). 13.91/14.07 tff(f1970,plain,( 13.91/14.07 ( ! [X12:color1] : (~bst1(sK8) | bst1(node1(X12,sK10,sK11,sK12,sK13))) ) | ~spl36_0), 13.91/14.07 inference(superposition,[],[f1016,f1066])). 13.91/14.07 tff(f1985,plain,( 13.91/14.07 spl36_44 <=> node1(black1,sK10,sK11,sK12,sK13) = sK8), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_44])])). 13.91/14.07 tff(f1986,plain,( 13.91/14.07 node1(black1,sK10,sK11,sK12,sK13) = sK8 | ~spl36_44), 13.91/14.07 inference(avatar_component_clause,[],[f1985])). 13.91/14.07 tff(f1987,plain,( 13.91/14.07 spl36_12 | spl36_44 | ~spl36_0), 13.91/14.07 inference(avatar_split_clause,[],[f1949,f1065,f1985,f1106])). 13.91/14.07 tff(f1992,plain,( 13.91/14.07 spl36_46 <=> bst1(sK10)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_46])])). 13.91/14.07 tff(f1993,plain,( 13.91/14.07 bst1(sK10) | ~spl36_46), 13.91/14.07 inference(avatar_component_clause,[],[f1992])). 13.91/14.07 tff(f1995,plain,( 13.91/14.07 spl36_48 <=> bst1(sK8)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_48])])). 13.91/14.07 tff(f1998,plain,( 13.91/14.07 spl36_49 <=> ~bst1(sK8)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_49])])). 13.91/14.07 tff(f2005,plain,( 13.91/14.07 spl36_50 <=> bst1(sK13)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_50])])). 13.91/14.07 tff(f2006,plain,( 13.91/14.07 bst1(sK13) | ~spl36_50), 13.91/14.07 inference(avatar_component_clause,[],[f2005])). 13.91/14.07 tff(f2022,plain,( 13.91/14.07 spl36_50 | ~spl36_49 | ~spl36_0), 13.91/14.07 inference(avatar_split_clause,[],[f1964,f1065,f1998,f2005])). 13.91/14.07 tff(f2023,plain,( 13.91/14.07 spl36_46 | ~spl36_49 | ~spl36_0), 13.91/14.07 inference(avatar_split_clause,[],[f1965,f1065,f1998,f1992])). 13.91/14.07 tff(f2042,plain,( 13.91/14.07 spl36_62 <=> ! [X12 : color1] : bst1(node1(X12,sK10,sK11,sK12,sK13))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_62])])). 13.91/14.07 tff(f2043,plain,( 13.91/14.07 ( ! [X12:color1] : (bst1(node1(X12,sK10,sK11,sK12,sK13))) ) | ~spl36_62), 13.91/14.07 inference(avatar_component_clause,[],[f2042])). 13.91/14.07 tff(f2044,plain,( 13.91/14.07 spl36_62 | ~spl36_49 | ~spl36_0), 13.91/14.07 inference(avatar_split_clause,[],[f1970,f1065,f1998,f2042])). 13.91/14.07 tff(f2093,plain,( 13.91/14.07 spl36_68 <=> bst1(sK5)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_68])])). 13.91/14.07 tff(f2094,plain,( 13.91/14.07 bst1(sK5) | ~spl36_68), 13.91/14.07 inference(avatar_component_clause,[],[f2093])). 13.91/14.07 tff(f2096,plain,( 13.91/14.07 spl36_69 <=> ~bst1(sK5)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_69])])). 13.91/14.07 tff(f2141,plain,( 13.91/14.07 spl36_82 <=> ! [X12 : color1] : bst1(node1(X12,sK25,sK26,sK27,sK28))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_82])])). 13.91/14.07 tff(f2142,plain,( 13.91/14.07 ( ! [X12:color1] : (bst1(node1(X12,sK25,sK26,sK27,sK28))) ) | ~spl36_82), 13.91/14.07 inference(avatar_component_clause,[],[f2141])). 13.91/14.07 tff(f2250,plain,( 13.91/14.07 spl36_102 <=> ! [X20 : color1] : bst1(node1(X20,sK15,sK16,sK17,sK18))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_102])])). 13.91/14.07 tff(f2251,plain,( 13.91/14.07 ( ! [X20:color1] : (bst1(node1(X20,sK15,sK16,sK17,sK18))) ) | ~spl36_102), 13.91/14.07 inference(avatar_component_clause,[],[f2250])). 13.91/14.07 tff(f2336,plain,( 13.91/14.07 node1(red1,sK10,sK11,sK12,sK13) = sK8 | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(forward_demodulation,[],[f1066,f1107])). 13.91/14.07 tff(f2356,plain,( 13.91/14.07 leaf1 != sK8 | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(superposition,[],[f1003,f2336])). 13.91/14.07 tff(f2573,plain,( 13.91/14.07 ( ! [X0:color1,X1:$int] : (~bst1(sK0) | bst1(node1(X0,sK0,sK1,X1,sK3))) )), 13.91/14.07 inference(resolution,[],[f1864,f933])). 13.91/14.07 tff(f2578,plain,( 13.91/14.07 ( ! [X14:tree1,X12:$int,X10:color1,X15:color1,X13:$int,X11:tree1,X16:$int] : (~bst1(node1(X10,X11,X12,X13,X14)) | bst1(node1(X15,node1(X10,X11,X12,X13,X14),sK1,X16,sK3)) | ~lt_tree1(sK1,X14) | ~$less(X12,sK1) | ~lt_tree1(sK1,X11)) )), 13.91/14.07 inference(resolution,[],[f1864,f1015])). 13.91/14.07 tff(f2579,plain,( 13.91/14.07 ( ! [X0:color1,X1:$int] : (bst1(node1(X0,sK0,sK1,X1,sK3))) )), 13.91/14.07 inference(subsumption_resolution,[],[f2573,f935])). 13.91/14.07 tff(f2853,plain,( 13.91/14.07 ( ! [X30:color1,X31:color1,X32:$int] : (bst1(node1(X30,node1(X31,sK10,sK11,sK12,sK13),sK1,X32,sK3)) | ~lt_tree1(sK1,sK13) | ~$less(sK11,sK1) | ~lt_tree1(sK1,sK10)) ) | ~spl36_62), 13.91/14.07 inference(resolution,[],[f2578,f2043])). 13.91/14.07 tff(f3570,plain,( 13.91/14.07 red1 = black1 | (~spl36_12 | ~spl36_24)), 13.91/14.07 inference(forward_demodulation,[],[f1163,f1107])). 13.91/14.07 tff(f3571,plain,( 13.91/14.07 $false | (~spl36_12 | ~spl36_24)), 13.91/14.07 inference(subsumption_resolution,[],[f3570,f939])). 13.91/14.07 tff(f3572,plain,( 13.91/14.07 ~spl36_12 | ~spl36_24), 13.91/14.07 inference(avatar_contradiction_clause,[],[f3571])). 13.91/14.07 tff(f3596,plain,( 13.91/14.07 ~spl36_3 | ~spl36_0 | ~spl36_12), 13.91/14.07 inference(avatar_split_clause,[],[f2356,f1106,f1065,f1068])). 13.91/14.07 tff(f3599,plain,( 13.91/14.07 spl36_194 <=> lt_tree1(sK1,sK10)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_194])])). 13.91/14.07 tff(f3602,plain,( 13.91/14.07 spl36_195 <=> ~lt_tree1(sK1,sK10)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_195])])). 13.91/14.07 tff(f3605,plain,( 13.91/14.07 spl36_196 <=> $less(sK11,sK1)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_196])])). 13.91/14.07 tff(f3608,plain,( 13.91/14.07 spl36_197 <=> ~$less(sK11,sK1)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_197])])). 13.91/14.07 tff(f3611,plain,( 13.91/14.07 spl36_198 <=> lt_tree1(sK1,sK13)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_198])])). 13.91/14.07 tff(f3612,plain,( 13.91/14.07 lt_tree1(sK1,sK13) | ~spl36_198), 13.91/14.07 inference(avatar_component_clause,[],[f3611])). 13.91/14.07 tff(f3614,plain,( 13.91/14.07 spl36_199 <=> ~lt_tree1(sK1,sK13)), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_199])])). 13.91/14.07 tff(f3617,plain,( 13.91/14.07 spl36_200 <=> ! [X3 : color1,X4 : $int] : bst1(node1(X3,sK8,sK1,X4,sK3))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_200])])). 13.91/14.07 tff(f3618,plain,( 13.91/14.07 ( ! [X4:$int,X3:color1] : (bst1(node1(X3,sK8,sK1,X4,sK3))) ) | ~spl36_200), 13.91/14.07 inference(avatar_component_clause,[],[f3617])). 13.91/14.07 tff(f3625,plain,( 13.91/14.07 spl36_204 <=> ! [X32 : $int,X31 : color1,X30 : color1] : bst1(node1(X30,node1(X31,sK10,sK11,sK12,sK13),sK1,X32,sK3))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_204])])). 13.91/14.07 tff(f3626,plain,( 13.91/14.07 ( ! [X30:color1,X31:color1,X32:$int] : (bst1(node1(X30,node1(X31,sK10,sK11,sK12,sK13),sK1,X32,sK3))) ) | ~spl36_204), 13.91/14.07 inference(avatar_component_clause,[],[f3625])). 13.91/14.07 tff(f3627,plain,( 13.91/14.07 ~spl36_195 | ~spl36_197 | ~spl36_199 | spl36_204 | ~spl36_62), 13.91/14.07 inference(avatar_split_clause,[],[f2853,f2042,f3625,f3614,f3608,f3602])). 13.91/14.07 tff(f3635,plain,( 13.91/14.07 node1(red1,sK15,sK16,sK17,sK18) = sK5 | (~spl36_8 | ~spl36_10)), 13.91/14.07 inference(forward_demodulation,[],[f1100,f1093])). 13.91/14.07 tff(f3687,plain,( 13.91/14.07 ( ! [X20:color1] : (~bst1(sK5) | bst1(node1(X20,sK15,sK16,sK17,sK18))) ) | (~spl36_8 | ~spl36_10)), 13.91/14.07 inference(superposition,[],[f1016,f3635])). 13.91/14.07 tff(f3695,plain,( 13.91/14.07 ( ! [X30:color1,X35:color1,X33:tree1,X31:$int,X34:color1,X32:$int] : (~bst1(node1(X30,sK5,X31,X32,X33)) | bst1(node1(X34,sK15,sK16,sK17,node1(X35,sK18,X31,X32,X33)))) ) | (~spl36_8 | ~spl36_10)), 13.91/14.07 inference(superposition,[],[f1025,f3635])). 13.91/14.07 tff(f3786,plain,( 13.91/14.07 spl36_102 | ~spl36_69 | ~spl36_8 | ~spl36_10), 13.91/14.07 inference(avatar_split_clause,[],[f3687,f1099,f1092,f2096,f2250])). 13.91/14.07 tff(f5314,plain,( 13.91/14.07 ( ! [X0:color1,X1:color1] : (~bst1(sK0) | bst1(node1(X0,sK15,sK16,sK17,node1(X1,sK18,sK6,sK7,sK8)))) ) | (~spl36_6 | ~spl36_8 | ~spl36_10)), 13.91/14.07 inference(superposition,[],[f3695,f1947])). 13.91/14.07 tff(f5324,plain,( 13.91/14.07 ~bst1(sK0) | bst1(sK5) | ~spl36_6), 13.91/14.07 inference(superposition,[],[f945,f1947])). 13.91/14.07 tff(f5325,plain,( 13.91/14.07 ~bst1(sK0) | bst1(sK8) | ~spl36_6), 13.91/14.07 inference(superposition,[],[f946,f1947])). 13.91/14.07 tff(f5326,plain,( 13.91/14.07 ~bst1(sK0) | lt_tree1(sK6,sK5) | ~spl36_6), 13.91/14.07 inference(superposition,[],[f947,f1947])). 13.91/14.07 tff(f5327,plain,( 13.91/14.07 ~bst1(sK0) | gt_tree1(sK6,sK8) | ~spl36_6), 13.91/14.07 inference(superposition,[],[f948,f1947])). 13.91/14.07 tff(f5344,plain,( 13.91/14.07 ( ! [X22:color1] : (~bst1(sK0) | bst1(node1(X22,sK5,sK6,sK7,sK8))) ) | ~spl36_6), 13.91/14.07 inference(superposition,[],[f1016,f1947])). 13.91/14.07 tff(f5348,plain,( 13.91/14.07 ( ! [X26:$int] : (~lt_tree1(X26,sK0) | lt_tree1(X26,sK8)) ) | ~spl36_6), 13.91/14.07 inference(superposition,[],[f1020,f1947])). 13.91/14.07 tff(f5352,plain,( 13.91/14.07 ( ! [X37:color1,X35:tree1,X33:$int,X36:color1,X34:$int,X32:color1] : (~bst1(node1(X32,sK0,X33,X34,X35)) | bst1(node1(X36,sK5,sK6,sK7,node1(X37,sK8,X33,X34,X35)))) ) | ~spl36_6), 13.91/14.07 inference(superposition,[],[f1025,f1947])). 13.91/14.07 tff(f5357,plain,( 13.91/14.07 ( ! [X0:color1,X1:color1] : (bst1(node1(X0,sK15,sK16,sK17,node1(X1,sK18,sK6,sK7,sK8)))) ) | (~spl36_6 | ~spl36_8 | ~spl36_10)), 13.91/14.07 inference(subsumption_resolution,[],[f5314,f935])). 13.91/14.07 tff(f5358,plain,( 13.91/14.07 bst1(sK5) | ~spl36_6), 13.91/14.07 inference(subsumption_resolution,[],[f5324,f935])). 13.91/14.07 tff(f5361,plain,( 13.91/14.07 lt_tree1(sK6,sK5) | ~spl36_6), 13.91/14.07 inference(subsumption_resolution,[],[f5326,f935])). 13.91/14.07 tff(f5362,plain,( 13.91/14.07 gt_tree1(sK6,sK8) | ~spl36_6), 13.91/14.07 inference(subsumption_resolution,[],[f5327,f935])). 13.91/14.07 tff(f5366,plain,( 13.91/14.07 ( ! [X22:color1] : (bst1(node1(X22,sK5,sK6,sK7,sK8))) ) | ~spl36_6), 13.91/14.07 inference(subsumption_resolution,[],[f5344,f935])). 13.91/14.07 tff(f5370,plain,( 13.91/14.07 spl36_68 | ~spl36_6), 13.91/14.07 inference(avatar_split_clause,[],[f5358,f1085,f2093])). 13.91/14.07 tff(f5610,plain,( 13.91/14.07 lt_tree1(sK1,sK8) | ~spl36_6), 13.91/14.07 inference(resolution,[],[f5348,f933])). 13.91/14.07 tff(f5613,plain,( 13.91/14.07 ( ! [X0:color1,X1:$int] : (~bst1(sK8) | bst1(node1(X0,sK8,sK1,X1,sK3))) ) | ~spl36_6), 13.91/14.07 inference(resolution,[],[f5610,f1864])). 13.91/14.07 tff(f5616,plain,( 13.91/14.07 spl36_200 | ~spl36_49 | ~spl36_6), 13.91/14.07 inference(avatar_split_clause,[],[f5613,f1085,f1998,f3617])). 13.91/14.07 tff(f5623,plain,( 13.91/14.07 bst1(sK8) | ~spl36_6), 13.91/14.07 inference(subsumption_resolution,[],[f5325,f935])). 13.91/14.07 tff(f5624,plain,( 13.91/14.07 spl36_48 | ~spl36_6), 13.91/14.07 inference(avatar_split_clause,[],[f5623,f1085,f1995])). 13.91/14.07 tff(f5874,plain,( 13.91/14.07 ( ! [X2:$int,X0:color1,X1:color1] : (bst1(node1(X0,sK5,sK6,sK7,node1(X1,sK8,sK1,X2,sK3)))) ) | ~spl36_6), 13.91/14.07 inference(resolution,[],[f5352,f2579])). 13.91/14.07 tff(f6054,plain,( 13.91/14.07 spl36_424 <=> ! [X73 : color1,X69 : color1,X71 : $int,X72 : $int,X74 : color1,X70 : tree1] : (~bst1(node1(X69,X70,X71,X72,sK8)) | bst1(node1(X73,node1(X74,X70,X71,X72,sK10),sK11,sK12,sK13)))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_424])])). 13.91/14.07 tff(f6055,plain,( 13.91/14.07 ( ! [X70:tree1,X74:color1,X72:$int,X71:$int,X69:color1,X73:color1] : (~bst1(node1(X69,X70,X71,X72,sK8)) | bst1(node1(X73,node1(X74,X70,X71,X72,sK10),sK11,sK12,sK13))) ) | ~spl36_424), 13.91/14.07 inference(avatar_component_clause,[],[f6054])). 13.91/14.07 tff(f6141,plain,( 13.91/14.07 ( ! [X0:color1,X1:color1] : (bst1(node1(X0,node1(X1,sK15,sK16,sK17,sK18),sK6,sK7,sK8))) ) | (~spl36_6 | ~spl36_8 | ~spl36_10)), 13.91/14.07 inference(resolution,[],[f5357,f1026])). 13.91/14.07 tff(f6757,plain,( 13.91/14.07 ( ! [X10:$int,X9:color1] : (gt_tree1(sK6,node1(X9,sK8,sK1,X10,sK3))) ) | ~spl36_6), 13.91/14.07 inference(resolution,[],[f5874,f948])). 13.91/14.07 tff(f6797,plain,( 13.91/14.07 ( ! [X3:color1] : (lt_tree1(sK6,node1(X3,sK15,sK16,sK17,sK18))) ) | (~spl36_6 | ~spl36_8 | ~spl36_10)), 13.91/14.07 inference(resolution,[],[f6141,f947])). 13.91/14.07 tff(f7427,plain,( 13.91/14.07 $false | (~spl36_5 | ~spl36_6 | ~spl36_8 | ~spl36_10 | ~spl36_102 | ~spl36_200)), 13.91/14.07 inference(unit_resulting_resolution,[],[f2251,f3618,f6757,f1079,f6797,f944])). 13.91/14.07 tff(f7437,plain,( 13.91/14.07 spl36_5 | ~spl36_6 | ~spl36_8 | ~spl36_10 | ~spl36_102 | ~spl36_200), 13.91/14.07 inference(avatar_contradiction_clause,[],[f7427])). 13.91/14.07 tff(f7744,plain,( 13.91/14.07 node1(red1,sK25,sK26,sK27,sK28) = sK5 | (~spl36_20 | ~spl36_28)), 13.91/14.07 inference(forward_demodulation,[],[f1151,f1250])). 13.91/14.07 tff(f7750,plain,( 13.91/14.07 node1(red1,sK10,sK11,sK12,sK13) = sK8 | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(forward_demodulation,[],[f1066,f1107])). 13.91/14.07 tff(f7780,plain,( 13.91/14.07 ( ! [X20:color1] : (~bst1(sK5) | bst1(node1(X20,sK25,sK26,sK27,sK28))) ) | (~spl36_20 | ~spl36_28)), 13.91/14.07 inference(superposition,[],[f1016,f7744])). 13.91/14.07 tff(f7822,plain,( 13.91/14.07 ( ! [X20:color1] : (bst1(node1(X20,sK25,sK26,sK27,sK28))) ) | (~spl36_20 | ~spl36_28 | ~spl36_68)), 13.91/14.07 inference(subsumption_resolution,[],[f7780,f2094])). 13.91/14.07 tff(f7823,plain,( 13.91/14.07 spl36_82 | ~spl36_20 | ~spl36_28 | ~spl36_68), 13.91/14.07 inference(avatar_split_clause,[],[f7822,f2093,f1249,f1150,f2141])). 13.91/14.07 tff(f7887,plain,( 13.91/14.07 ( ! [X26:$int] : (~lt_tree1(X26,sK8) | $less(sK11,X26)) ) | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(superposition,[],[f1018,f7750])). 13.91/14.07 tff(f7888,plain,( 13.91/14.07 ( ! [X27:$int] : (~lt_tree1(X27,sK8) | lt_tree1(X27,sK10)) ) | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(superposition,[],[f1019,f7750])). 13.91/14.07 tff(f7889,plain,( 13.91/14.07 ( ! [X28:$int] : (~lt_tree1(X28,sK8) | lt_tree1(X28,sK13)) ) | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(superposition,[],[f1020,f7750])). 13.91/14.07 tff(f7891,plain,( 13.91/14.07 ( ! [X30:$int] : (~gt_tree1(X30,sK8) | gt_tree1(X30,sK10)) ) | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(superposition,[],[f1022,f7750])). 13.91/14.07 tff(f7894,plain,( 13.91/14.07 ( ! [X45:color1,X43:$int,X41:tree1,X44:color1,X42:$int,X40:color1] : (~bst1(node1(X40,X41,X42,X43,sK8)) | bst1(node1(X44,node1(X45,X41,X42,X43,sK10),sK11,sK12,sK13))) ) | (~spl36_0 | ~spl36_12)), 13.91/14.07 inference(superposition,[],[f1026,f7750])). 13.91/14.07 tff(f8115,plain,( 13.91/14.07 $less(sK11,sK1) | (~spl36_0 | ~spl36_6 | ~spl36_12)), 13.91/14.07 inference(resolution,[],[f7887,f5610])). 13.91/14.07 tff(f8117,plain,( 13.91/14.07 lt_tree1(sK1,sK10) | (~spl36_0 | ~spl36_6 | ~spl36_12)), 13.91/14.07 inference(resolution,[],[f7888,f5610])). 13.91/14.07 tff(f8121,plain,( 13.91/14.07 lt_tree1(sK1,sK13) | (~spl36_0 | ~spl36_6 | ~spl36_12)), 13.91/14.07 inference(resolution,[],[f7889,f5610])). 13.91/14.07 tff(f8128,plain,( 13.91/14.07 gt_tree1(sK6,sK10) | (~spl36_0 | ~spl36_6 | ~spl36_12)), 13.91/14.07 inference(resolution,[],[f7891,f5362])). 13.91/14.07 tff(f8130,plain,( 13.91/14.07 ( ! [X2:$int,X0:tree1,X1:color1] : (~bst1(X0) | ~bst1(sK10) | ~lt_tree1(sK6,X0) | bst1(node1(X1,X0,sK6,X2,sK10))) ) | (~spl36_0 | ~spl36_6 | ~spl36_12)), 13.91/14.07 inference(resolution,[],[f8128,f944])). 13.91/14.07 tff(f8131,plain,( 13.91/14.07 ( ! [X2:$int,X0:tree1,X1:color1] : (~lt_tree1(sK6,X0) | ~bst1(X0) | bst1(node1(X1,X0,sK6,X2,sK10))) ) | (~spl36_0 | ~spl36_6 | ~spl36_12 | ~spl36_46)), 13.91/14.07 inference(subsumption_resolution,[],[f8130,f1993])). 13.91/14.07 tff(f10247,plain,( 13.91/14.07 ( ! [X8:color1,X9:$int] : (~bst1(sK5) | bst1(node1(X8,sK5,sK6,X9,sK10))) ) | (~spl36_0 | ~spl36_6 | ~spl36_12 | ~spl36_46)), 13.91/14.07 inference(resolution,[],[f8131,f5361])). 13.91/14.07 tff(f10260,plain,( 13.91/14.07 ( ! [X8:color1,X9:$int] : (bst1(node1(X8,sK5,sK6,X9,sK10))) ) | (~spl36_0 | ~spl36_6 | ~spl36_12 | ~spl36_46 | ~spl36_68)), 13.91/14.07 inference(subsumption_resolution,[],[f10247,f2094])). 13.91/14.07 tff(f10272,plain,( 13.91/14.07 spl36_668 <=> ! [X23 : color1,X24 : $int] : bst1(node1(X23,sK5,sK6,X24,sK10))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_668])])). 13.91/14.07 tff(f10273,plain,( 13.91/14.07 ( ! [X24:$int,X23:color1] : (bst1(node1(X23,sK5,sK6,X24,sK10))) ) | ~spl36_668), 13.91/14.07 inference(avatar_component_clause,[],[f10272])). 13.91/14.07 tff(f10755,plain,( 13.91/14.07 spl36_668 | ~spl36_0 | ~spl36_6 | ~spl36_12 | ~spl36_46 | ~spl36_68), 13.91/14.07 inference(avatar_split_clause,[],[f10260,f2093,f1992,f1106,f1085,f1065,f10272])). 13.91/14.07 tff(f13705,plain,( 13.91/14.07 spl36_194 | ~spl36_0 | ~spl36_6 | ~spl36_12), 13.91/14.07 inference(avatar_split_clause,[],[f8117,f1106,f1085,f1065,f3599])). 13.91/14.07 tff(f13708,plain,( 13.91/14.07 spl36_196 | ~spl36_0 | ~spl36_6 | ~spl36_12), 13.91/14.07 inference(avatar_split_clause,[],[f8115,f1106,f1085,f1065,f3605])). 13.91/14.07 tff(f13723,plain,( 13.91/14.07 spl36_966 <=> ! [X1 : $int,X0 : color1] : bst1(node1(X0,sK13,sK1,X1,sK3))), 13.91/14.07 introduced(avatar_definition,[new_symbols(naming,[spl36_966])])). 13.91/14.07 tff(f13724,plain,( 13.91/14.07 ( ! [X0:color1,X1:$int] : (bst1(node1(X0,sK13,sK1,X1,sK3))) ) | ~spl36_966), 13.91/14.07 inference(avatar_component_clause,[],[f13723])). 13.91/14.07 tff(f13800,plain,( 13.91/14.07 spl36_198 | ~spl36_0 | ~spl36_6 | ~spl36_12), 13.91/14.07 inference(avatar_split_clause,[],[f8121,f1106,f1085,f1065,f3611])). 13.91/14.07 tff(f14162,plain,( 13.91/14.07 spl36_424 | ~spl36_0 | ~spl36_12), 13.91/14.07 inference(avatar_split_clause,[],[f7894,f1106,f1065,f6054])). 13.91/14.07 tff(f14231,plain,( 13.91/14.07 ( ! [X0:color1,X1:$int] : (~bst1(sK13) | bst1(node1(X0,sK13,sK1,X1,sK3))) ) | ~spl36_198), 13.91/14.07 inference(resolution,[],[f3612,f1864])). 13.91/14.07 tff(f14232,plain,( 13.91/14.07 ( ! [X0:color1,X1:$int] : (bst1(node1(X0,sK13,sK1,X1,sK3))) ) | (~spl36_50 | ~spl36_198)), 13.91/14.07 inference(subsumption_resolution,[],[f14231,f2006])). 13.91/14.07 tff(f14233,plain,( 13.91/14.07 spl36_966 | ~spl36_50 | ~spl36_198), 13.91/14.07 inference(avatar_split_clause,[],[f14232,f3611,f2005,f13723])). 13.91/14.07 tff(f14365,plain,( 13.91/14.07 ( ! [X2:$int,X0:color1,X1:color1] : (bst1(node1(X0,sK10,sK11,sK12,node1(X1,sK13,sK1,X2,sK3)))) ) | ~spl36_204), 13.91/14.07 inference(resolution,[],[f3626,f1025])). 13.91/14.07 tff(f14401,plain,( 13.91/14.07 ( ! [X17:color1,X16:color1] : (bst1(node1(X16,node1(X17,sK5,sK6,sK7,sK10),sK11,sK12,sK13))) ) | (~spl36_6 | ~spl36_424)), 13.91/14.07 inference(resolution,[],[f6055,f5366])). 13.91/14.07 tff(f14802,plain,( 13.91/14.07 ( ! [X6:$int,X5:color1] : (gt_tree1(sK11,node1(X5,sK13,sK1,X6,sK3))) ) | ~spl36_204), 13.91/14.07 inference(resolution,[],[f14365,f948])). 13.91/14.07 tff(f14846,plain,( 13.91/14.07 ( ! [X3:color1] : (lt_tree1(sK11,node1(X3,sK5,sK6,sK7,sK10))) ) | (~spl36_6 | ~spl36_424)), 13.91/14.07 inference(resolution,[],[f14401,f947])). 13.91/14.07 tff(f18492,plain,( 13.91/14.07 $false | (~spl36_6 | ~spl36_27 | ~spl36_204 | ~spl36_424 | ~spl36_668 | ~spl36_966)), 13.91/14.07 inference(unit_resulting_resolution,[],[f10273,f13724,f14802,f1171,f14846,f944])). 13.91/14.07 tff(f18498,plain,( 13.91/14.07 ~spl36_6 | spl36_27 | ~spl36_204 | ~spl36_424 | ~spl36_668 | ~spl36_966), 13.91/14.07 inference(avatar_contradiction_clause,[],[f18492])). 13.91/14.07 tff(f18529,plain,( 13.91/14.07 node1(red1,sK25,sK26,sK27,sK28) = sK5 | (~spl36_20 | ~spl36_28)), 13.91/14.07 inference(forward_demodulation,[],[f1151,f1250])). 13.91/14.07 tff(f18574,plain,( 13.91/14.07 ( ! [X30:color1,X35:color1,X33:tree1,X31:$int,X34:color1,X32:$int] : (~bst1(node1(X30,sK5,X31,X32,X33)) | bst1(node1(X34,sK25,sK26,sK27,node1(X35,sK28,X31,X32,X33)))) ) | (~spl36_20 | ~spl36_28)), 13.91/14.07 inference(superposition,[],[f1025,f18529])). 13.91/14.07 tff(f19336,plain,( 13.91/14.07 ( ! [X10:color1,X11:color1] : (bst1(node1(X10,sK25,sK26,sK27,node1(X11,sK28,sK6,sK7,sK8)))) ) | (~spl36_6 | ~spl36_20 | ~spl36_28)), 13.91/14.07 inference(resolution,[],[f18574,f5366])). 13.91/14.07 tff(f19657,plain,( 13.91/14.07 ( ! [X0:color1,X1:color1] : (bst1(node1(X0,node1(X1,sK25,sK26,sK27,sK28),sK6,sK7,sK8))) ) | (~spl36_6 | ~spl36_20 | ~spl36_28)), 13.91/14.07 inference(resolution,[],[f19336,f1026])). 13.91/14.07 tff(f20590,plain,( 13.91/14.07 ( ! [X6:color1] : (lt_tree1(sK6,node1(X6,sK25,sK26,sK27,sK28))) ) | (~spl36_6 | ~spl36_20 | ~spl36_28)), 13.91/14.07 inference(resolution,[],[f19657,f947])). 13.91/14.07 tff(f22637,plain,( 13.91/14.07 $false | (~spl36_6 | ~spl36_20 | ~spl36_28 | ~spl36_33 | ~spl36_82 | ~spl36_200)), 13.91/14.07 inference(unit_resulting_resolution,[],[f2142,f3618,f6757,f1267,f20590,f944])). 13.91/14.07 tff(f22650,plain,( 13.91/14.07 ~spl36_6 | ~spl36_20 | ~spl36_28 | spl36_33 | ~spl36_82 | ~spl36_200), 13.91/14.07 inference(avatar_contradiction_clause,[],[f22637])). 13.91/14.07 tff(f22712,plain,( 13.91/14.07 node1(red1,sK20,sK21,sK22,sK23) = sK5 | (~spl36_16 | ~spl36_18)), 13.91/14.07 inference(forward_demodulation,[],[f1128,f1121])). 13.91/14.07 tff(f22742,plain,( 13.91/14.07 ( ! [X20:color1] : (~bst1(sK5) | bst1(node1(X20,sK20,sK21,sK22,sK23))) ) | (~spl36_16 | ~spl36_18)), 13.91/14.07 inference(superposition,[],[f1016,f22712])). 13.91/14.07 tff(f22750,plain,( 13.91/14.07 ( ! [X30:color1,X35:color1,X33:tree1,X31:$int,X34:color1,X32:$int] : (~bst1(node1(X30,sK5,X31,X32,X33)) | bst1(node1(X34,sK20,sK21,sK22,node1(X35,sK23,X31,X32,X33)))) ) | (~spl36_16 | ~spl36_18)), 13.91/14.07 inference(superposition,[],[f1025,f22712])). 13.91/14.07 tff(f22764,plain,( 13.91/14.07 ( ! [X20:color1] : (bst1(node1(X20,sK20,sK21,sK22,sK23))) ) | (~spl36_16 | ~spl36_18 | ~spl36_68)), 13.91/14.07 inference(subsumption_resolution,[],[f22742,f2094])). 13.91/14.07 tff(f23465,plain,( 13.91/14.07 leaf1 != sK8 | ~spl36_44), 13.91/14.07 inference(superposition,[],[f1003,f1986])). 13.91/14.07 tff(f23857,plain,( 13.91/14.07 ( ! [X19:color1,X18:color1] : (bst1(node1(X18,sK20,sK21,sK22,node1(X19,sK23,sK6,sK7,sK8)))) ) | (~spl36_6 | ~spl36_16 | ~spl36_18)), 13.91/14.07 inference(resolution,[],[f22750,f5366])). 13.91/14.07 tff(f24540,plain,( 13.91/14.07 ( ! [X0:color1,X1:color1] : (bst1(node1(X0,node1(X1,sK20,sK21,sK22,sK23),sK6,sK7,sK8))) ) | (~spl36_6 | ~spl36_16 | ~spl36_18)), 13.91/14.07 inference(resolution,[],[f23857,f1026])). 13.91/14.07 tff(f25293,plain,( 13.91/14.07 ( ! [X6:color1] : (lt_tree1(sK6,node1(X6,sK20,sK21,sK22,sK23))) ) | (~spl36_6 | ~spl36_16 | ~spl36_18)), 13.91/14.07 inference(resolution,[],[f24540,f947])). 13.91/14.07 tff(f26776,plain,( 13.91/14.07 ~spl36_3 | ~spl36_44), 13.91/14.07 inference(avatar_split_clause,[],[f23465,f1985,f1068])). 13.91/14.07 tff(f28446,plain,( 13.91/14.07 $false | (~spl36_6 | ~spl36_15 | ~spl36_16 | ~spl36_18 | ~spl36_68 | ~spl36_200)), 13.91/14.07 inference(unit_resulting_resolution,[],[f22764,f3618,f6757,f1113,f25293,f944])). 13.91/14.07 tff(f28457,plain,( 13.91/14.07 ~spl36_6 | spl36_15 | ~spl36_16 | ~spl36_18 | ~spl36_68 | ~spl36_200), 13.91/14.07 inference(avatar_contradiction_clause,[],[f28446])). 13.91/14.07 tff(f28460,plain,( 13.91/14.07 $false), 13.91/14.07 inference(avatar_sat_refutation,[],[f1080,f1094,f1101,f1114,f1122,f1129,f1172,f1514,f1839,f1844,f1987,f2022,f2023,f2044,f3572,f3596,f3627,f3786,f5370,f5616,f5624,f7437,f7823,f10755,f13705,f13708,f13800,f14162,f14233,f18498,f22650,f26776,f28457])). 13.91/14.07 % SZS output end Proof for theBenchmark 13.91/14.07 % ------------------------------ 13.91/14.07 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.91/14.07 % Termination reason: Refutation 13.91/14.07 13.91/14.07 % Memory used [KB]: 22259 13.91/14.07 % Time elapsed: 0.750 s 13.91/14.07 % ------------------------------ 13.91/14.07 % ------------------------------ 13.91/14.07 % Success in time 13.826 s 13.91/14.08 EOF