0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.03/0.23 % Computer : n124.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 04:24:55 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % remaining time: 2999 next slice time: 3 0.03/0.27 dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark 0.43/0.67 % (32422)Time limit reached! 0.43/0.67 % ------------------------------ 0.43/0.67 % Version: Vampire 4.1 for CASC J8 Entry 0.43/0.67 % Termination reason: Time limit 0.43/0.67 % Termination phase: Saturation 0.43/0.67 0.43/0.67 % Memory used [KB]: 5628 0.43/0.67 % Time elapsed: 0.400 s 0.43/0.67 % ------------------------------ 0.43/0.67 % ------------------------------ 0.43/0.67 % remaining time: 2995 next slice time: 3 0.43/0.67 lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark 0.48/1.07 % (32426)Time limit reached! 0.48/1.07 % ------------------------------ 0.48/1.07 % Version: Vampire 4.1 for CASC J8 Entry 0.48/1.07 % Termination reason: Time limit 0.48/1.07 % Termination phase: Saturation 0.48/1.07 0.48/1.07 % Memory used [KB]: 3326 0.48/1.07 % Time elapsed: 0.400 s 0.48/1.07 % ------------------------------ 0.48/1.07 % ------------------------------ 0.48/1.07 % remaining time: 2991 next slice time: 5 0.48/1.07 lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark 1.42/1.67 % (32441)Time limit reached! 1.42/1.67 % ------------------------------ 1.42/1.67 % Version: Vampire 4.1 for CASC J8 Entry 1.42/1.67 % Termination reason: Time limit 1.42/1.67 % Termination phase: Saturation 1.42/1.67 1.42/1.67 % Memory used [KB]: 5756 1.42/1.67 % Time elapsed: 0.600 s 1.42/1.67 % ------------------------------ 1.42/1.67 % ------------------------------ 1.42/1.67 % remaining time: 2985 next slice time: 9 1.42/1.67 dis+10_2:1_gs=on:gsem=off:irw=on:lcm=reverse:lma=on:nm=2:nwc=1.3:nicw=on:sas=z3:sac=on:sdd=off:sfr=on:ssfp=1000:ssfq=1.1:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_7 on theBenchmark 2.40/2.67 % (32442)Time limit reached! 2.40/2.67 % ------------------------------ 2.40/2.67 % Version: Vampire 4.1 for CASC J8 Entry 2.40/2.67 % Termination reason: Time limit 2.40/2.67 % Termination phase: Saturation 2.40/2.67 2.40/2.67 % Memory used [KB]: 11897 2.40/2.67 % Time elapsed: 1.0000 s 2.40/2.67 % ------------------------------ 2.40/2.67 % ------------------------------ 2.40/2.67 % remaining time: 2975 next slice time: 10 2.40/2.68 dis+11_2:1_bd=off:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:ssac=none:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:ssnc=none:sp=reverse_arity:tha=off:updr=off_9 on theBenchmark 3.53/3.77 % (32463)Time limit reached! 3.53/3.77 % ------------------------------ 3.53/3.77 % Version: Vampire 4.1 for CASC J8 Entry 3.53/3.77 % Termination reason: Time limit 3.53/3.77 % Termination phase: Saturation 3.53/3.77 3.53/3.77 % Memory used [KB]: 5373 3.53/3.77 % Time elapsed: 1.100 s 3.53/3.77 % ------------------------------ 3.53/3.77 % ------------------------------ 3.53/3.78 % remaining time: 2964 next slice time: 40 3.53/3.78 lrs+10_1_cond=on:fsr=off:gs=on:gsem=on:inst=on:lwlo=on:nm=64:nwc=2:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=1.2:smm=sco:ssnc=none:updr=off_38 on theBenchmark 7.63/7.88 % (32498)Time limit reached! 7.63/7.88 % ------------------------------ 7.63/7.88 % Version: Vampire 4.1 for CASC J8 Entry 7.63/7.88 % Termination reason: Time limit 7.63/7.88 % Termination phase: Saturation 7.63/7.88 7.63/7.88 % Memory used [KB]: 96075 7.63/7.88 % Time elapsed: 4.100 s 7.63/7.88 % ------------------------------ 7.63/7.88 % ------------------------------ 7.63/7.88 % remaining time: 2923 next slice time: 10 7.63/7.89 lrs+1010_2:1_bd=off:cond=on:er=filter:gs=on:gsem=on:inw=on:irw=on:lma=on:nm=0:nwc=1.3:sas=z3:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=2.0:smm=off:ssnc=none:sp=reverse_arity:updr=off_8 on theBenchmark 8.81/8.98 % (32567)Time limit reached! 8.81/8.98 % ------------------------------ 8.81/8.98 % Version: Vampire 4.1 for CASC J8 Entry 8.81/8.98 % Termination reason: Time limit 8.81/8.98 % Termination phase: Saturation 8.81/8.98 8.81/8.98 % Memory used [KB]: 21108 8.81/8.98 % Time elapsed: 1.100 s 8.81/8.98 % ------------------------------ 8.81/8.98 % ------------------------------ 8.81/8.99 % remaining time: 2912 next slice time: 162 8.81/8.99 dis+1_24_bs=on:fsr=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:spl=off:sp=occurrence:urr=on_154 on theBenchmark 25.12/25.29 % (32585)Time limit reached! 25.12/25.29 % ------------------------------ 25.12/25.29 % Version: Vampire 4.1 for CASC J8 Entry 25.12/25.29 % Termination reason: Time limit 25.12/25.29 % Termination phase: Saturation 25.12/25.29 25.12/25.29 % Memory used [KB]: 354876 25.12/25.29 % Time elapsed: 16.300 s 25.12/25.29 % ------------------------------ 25.12/25.29 % ------------------------------ 25.23/25.31 % remaining time: 2749 next slice time: 6 25.23/25.31 lrs-11_3_bd=off:cond=on:gs=on:gsem=off:irw=on:inst=on:nm=4:nwc=3:sas=z3:stl=30:sdd=off:sfr=on:ssfp=100000:ssfq=1.4:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark 25.92/26.01 % (32870)Time limit reached! 25.92/26.01 % ------------------------------ 25.92/26.01 % Version: Vampire 4.1 for CASC J8 Entry 25.92/26.01 % Termination reason: Time limit 25.92/26.01 % Termination phase: Saturation 25.92/26.01 25.92/26.01 % Memory used [KB]: 5884 25.92/26.01 % Time elapsed: 0.700 s 25.92/26.01 % ------------------------------ 25.92/26.01 % ------------------------------ 25.92/26.01 % remaining time: 2742 next slice time: 6 25.92/26.01 dis+10_4_cond=on:inw=on:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:sas=z3:sos=all:sdd=large:sfr=on:ssfp=10000:ssfq=1.0:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark 26.64/26.71 % (32871)Time limit reached! 26.64/26.71 % ------------------------------ 26.64/26.71 % Version: Vampire 4.1 for CASC J8 Entry 26.64/26.71 % Termination reason: Time limit 26.64/26.71 % Termination phase: Saturation 26.64/26.71 26.64/26.71 % Memory used [KB]: 3709 26.64/26.71 % Time elapsed: 0.700 s 26.64/26.71 % ------------------------------ 26.64/26.71 % ------------------------------ 26.64/26.71 % remaining time: 2735 next slice time: 11 26.64/26.72 ott+1010_3:1_bs=unit_only:ccuc=small_ones:fsr=off:irw=on:nm=0:newcnf=on:nwc=1.1:nicw=on:sos=on:ssac=none:sscc=model:sdd=off:ssfp=10000:ssfq=1.4:ssnc=none:sp=reverse_arity:tha=off_10 on theBenchmark 26.65/26.87 % Refutation found. Thanks to Tanya! 26.65/26.87 % SZS status Theorem for theBenchmark 26.65/26.87 % SZS output start Proof for theBenchmark 26.65/26.87 tff(type_def_6, type, uni: $tType). 26.65/26.87 tff(type_def_7, type, ty: $tType). 26.65/26.87 tff(type_def_8, type, bool1: $tType). 26.65/26.87 tff(type_def_9, type, tuple02: $tType). 26.65/26.87 tff(type_def_10, type, color1: $tType). 26.65/26.87 tff(type_def_11, type, tree1: $tType). 26.65/26.87 tff(func_def_0, type, witness1: ty > uni). 26.65/26.87 tff(func_def_1, type, int: ty). 26.65/26.87 tff(func_def_2, type, real: ty). 26.65/26.87 tff(func_def_3, type, bool: ty). 26.65/26.87 tff(func_def_4, type, true1: bool1). 26.65/26.87 tff(func_def_5, type, false1: bool1). 26.65/26.87 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 26.65/26.87 tff(func_def_7, type, tuple0: ty). 26.65/26.87 tff(func_def_8, type, tuple03: tuple02). 26.65/26.87 tff(func_def_9, type, qtmark: ty). 26.65/26.87 tff(func_def_10, type, color: ty). 26.65/26.87 tff(func_def_11, type, red1: color1). 26.65/26.87 tff(func_def_12, type, black1: color1). 26.65/26.87 tff(func_def_13, type, match_color1: (ty * color1 * uni * uni) > uni). 26.65/26.87 tff(func_def_14, type, tree: ty). 26.65/26.87 tff(func_def_15, type, leaf1: tree1). 26.65/26.87 tff(func_def_16, type, node1: (color1 * tree1 * $int * $int * tree1) > tree1). 26.65/26.87 tff(func_def_17, type, match_tree1: (ty * tree1 * uni * uni) > uni). 26.65/26.87 tff(func_def_18, type, node_proj_11: tree1 > color1). 26.65/26.87 tff(func_def_19, type, node_proj_21: tree1 > tree1). 26.65/26.87 tff(func_def_20, type, node_proj_31: tree1 > $int). 26.65/26.87 tff(func_def_21, type, node_proj_41: tree1 > $int). 26.65/26.87 tff(func_def_22, type, node_proj_51: tree1 > tree1). 26.65/26.87 tff(func_def_29, type, sK0: tree1). 26.65/26.87 tff(func_def_30, type, sK1: $int). 26.65/26.87 tff(func_def_31, type, sK2: $int). 26.65/26.87 tff(func_def_32, type, sK3: tree1). 26.65/26.87 tff(func_def_33, type, sK4: color1). 26.65/26.87 tff(func_def_34, type, sK5: tree1). 26.65/26.87 tff(func_def_35, type, sK6: $int). 26.65/26.87 tff(func_def_36, type, sK7: $int). 26.65/26.87 tff(func_def_37, type, sK8: tree1). 26.65/26.87 tff(func_def_38, type, sK9: color1). 26.65/26.87 tff(func_def_39, type, sK10: tree1). 26.65/26.87 tff(func_def_40, type, sK11: $int). 26.65/26.87 tff(func_def_41, type, sK12: $int). 26.65/26.87 tff(func_def_42, type, sK13: tree1). 26.65/26.87 tff(func_def_43, type, sK14: color1). 26.65/26.87 tff(func_def_44, type, sK15: tree1). 26.65/26.87 tff(func_def_45, type, sK16: $int). 26.65/26.87 tff(func_def_46, type, sK17: $int). 26.65/26.87 tff(func_def_47, type, sK18: tree1). 26.65/26.87 tff(func_def_48, type, sK19: color1). 26.65/26.87 tff(func_def_49, type, sK20: tree1). 26.65/26.87 tff(func_def_50, type, sK21: $int). 26.65/26.87 tff(func_def_51, type, sK22: $int). 26.65/26.87 tff(func_def_52, type, sK23: tree1). 26.65/26.87 tff(func_def_53, type, sK24: color1). 26.65/26.87 tff(func_def_54, type, sK25: tree1). 26.65/26.87 tff(func_def_55, type, sK26: $int). 26.65/26.87 tff(func_def_56, type, sK27: $int). 26.65/26.87 tff(func_def_57, type, sK28: tree1). 26.65/26.87 tff(func_def_58, type, sK29: tree1 > $int). 26.65/26.87 tff(func_def_59, type, sK30: ($int * tree1) > $int). 26.65/26.87 tff(func_def_60, type, sK31: ($int * tree1) > $int). 26.65/26.87 tff(func_def_61, type, sK32: ($int * tree1) > $int). 26.65/26.87 tff(func_def_62, type, sK33: ($int * tree1) > $int). 26.65/26.87 tff(func_def_63, type, sK34: tree1 > $int). 26.65/26.87 tff(func_def_64, type, sK35: tree1 > $int). 26.65/26.87 tff(pred_def_1, type, sort1: (ty * uni) > $o). 26.65/26.87 tff(pred_def_2, type, memt1: (tree1 * $int * $int) > $o). 26.65/26.87 tff(pred_def_3, type, lt_tree1: ($int * tree1) > $o). 26.65/26.87 tff(pred_def_4, type, gt_tree1: ($int * tree1) > $o). 26.65/26.87 tff(pred_def_5, type, bst1: tree1 > $o). 26.65/26.87 tff(pred_def_6, type, is_not_red1: tree1 > $o). 26.65/26.87 tff(pred_def_7, type, rbtree1: ($int * tree1) > $o). 26.65/26.87 tff(pred_def_8, type, almost_rbtree1: ($int * tree1) > $o). 26.65/26.87 tff(f2,axiom,( 26.65/26.87 ! [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)))))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_tree_node)). 26.65/26.87 tff(f5,axiom,( 26.65/26.87 ! [X3 : color1,X4 : tree1,X5 : $int,X6 : $int,X7 : tree1] : node_proj_31(node1(X3,X4,X5,X6,X7)) = X5), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',node_proj_3_def)). 26.65/26.87 tff(f8,axiom,( 26.65/26.87 ! [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))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_right)). 26.65/26.87 tff(f10,axiom,( 26.65/26.87 ! [X3 : color1,X4 : tree1,X5 : $int,X6 : $int,X7 : tree1] : node_proj_21(node1(X3,X4,X5,X6,X7)) = X4), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',node_proj_2_def)). 26.65/26.87 tff(f13,axiom,( 26.65/26.87 ! [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)))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_color)). 26.65/26.87 tff(f17,axiom,( 26.65/26.87 ! [X3 : color1,X4 : tree1,X5 : $int,X6 : $int,X7 : tree1] : node_proj_51(node1(X3,X4,X5,X6,X7)) = X7), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',node_proj_5_def)). 26.65/26.87 tff(f19,axiom,( 26.65/26.87 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (gt_tree1(X8,X11) => (gt_tree1(X8,X12) => ($less(X8,X9) => gt_tree1(X8,node1(X13,X11,X9,X10,X12)))))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_tree_node)). 26.65/26.87 tff(f22,axiom,( 26.65/26.87 ! [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))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_left)). 26.65/26.87 tff(f23,axiom,( 26.65/26.87 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (lt_tree1(X8,node1(X13,X11,X9,X10,X12)) => $less(X9,X8))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_node_lt)). 26.65/26.87 tff(f26,axiom,( 26.65/26.87 ! [X8 : $int,X9 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (gt_tree1(X8,node1(X13,X11,X9,X10,X12)) => $less(X8,X9))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_node_gt)). 26.65/26.87 tff(f27,axiom,( 26.65/26.87 ! [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))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_left)). 26.65/26.87 tff(f31,axiom,( 26.65/26.87 ! [X30 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (bst1(node1(X13,X11,X30,X10,X12)) => bst1(X11))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_left)). 26.65/26.87 tff(f34,axiom,( 26.65/26.87 ! [X30 : $int,X10 : $int,X11 : tree1,X12 : tree1,X13 : color1] : (bst1(node1(X13,X11,X30,X10,X12)) => bst1(X12))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_right)). 26.65/26.87 tff(f40,axiom,( 26.65/26.87 ! [X10 : color1,X34 : tree1,X35 : $int,X36 : $int,X37 : tree1] : leaf1 != node1(X10,X34,X35,X36,X37)), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leaf_Node)). 26.65/26.87 tff(f43,axiom,( 26.65/26.87 ! [X8 : $int] : lt_tree1(X8,leaf1)), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_leaf)). 26.65/26.87 tff(f45,conjecture,( 26.65/26.87 ! [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))))))))))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_lbalance)). 26.65/26.87 tff(f46,negated_conjecture,( 26.65/26.87 ~! [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))))))))))), 26.65/26.87 inference(negated_conjecture,[],[f45])). 26.65/26.87 tff(f50,axiom,( 26.65/26.87 ! [X8 : $int,X9 : $int] : ($less(X9,X8) => ! [X31 : tree1] : (gt_tree1(X8,X31) => gt_tree1(X9,X31)))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_tree_trans)). 26.65/26.87 tff(f51,axiom,( 26.65/26.87 ! [X3 : color1,X4 : tree1,X5 : $int,X6 : $int,X7 : tree1] : node_proj_41(node1(X3,X4,X5,X6,X7)) = X6), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',node_proj_4_def)). 26.65/26.87 tff(f52,axiom,( 26.65/26.87 ! [X8 : $int,X9 : $int] : ($less(X8,X9) => ! [X31 : tree1] : (lt_tree1(X8,X31) => lt_tree1(X9,X31)))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_tree_trans)). 26.65/26.87 tff(f57,axiom,( 26.65/26.87 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)))), 26.65/26.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bst_def)). 26.65/26.87 tff(f65,plain,( 26.65/26.87 ~! [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))))))))))), 26.65/26.87 inference(rectify,[],[f46])). 26.65/26.87 tff(f67,plain,( 26.65/26.87 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)))), 26.65/26.87 inference(rectify,[],[f57])). 26.65/26.87 tff(f70,plain,( 26.65/26.87 ! [X0 : $int] : lt_tree1(X0,leaf1)), 26.65/26.87 inference(rectify,[],[f43])). 26.65/26.87 tff(f79,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int] : ($less(X1,X0) => ! [X2 : tree1] : (gt_tree1(X0,X2) => gt_tree1(X1,X2)))), 26.65/26.87 inference(rectify,[],[f50])). 26.65/26.87 tff(f80,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int] : ($less(X0,X1) => ! [X2 : tree1] : (lt_tree1(X0,X2) => lt_tree1(X1,X2)))), 26.65/26.87 inference(rectify,[],[f52])). 26.65/26.87 tff(f90,plain,( 26.65/26.87 ! [X0 : color1,X1 : tree1,X2 : $int,X3 : $int,X4 : tree1] : leaf1 != node1(X0,X1,X2,X3,X4)), 26.65/26.87 inference(rectify,[],[f40])). 26.65/26.87 tff(f91,plain,( 26.65/26.87 ! [X0 : color1,X1 : tree1,X2 : $int,X3 : $int,X4 : tree1] : node_proj_31(node1(X0,X1,X2,X3,X4)) = X2), 26.65/26.87 inference(rectify,[],[f5])). 26.65/26.87 tff(f92,plain,( 26.65/26.87 ! [X0 : color1,X1 : tree1,X2 : $int,X3 : $int,X4 : tree1] : node_proj_41(node1(X0,X1,X2,X3,X4)) = X3), 26.65/26.87 inference(rectify,[],[f51])). 26.65/26.87 tff(f93,plain,( 26.65/26.87 ! [X0 : color1,X1 : tree1,X2 : $int,X3 : $int,X4 : tree1] : node_proj_21(node1(X0,X1,X2,X3,X4)) = X1), 26.65/26.87 inference(rectify,[],[f10])). 26.65/26.87 tff(f94,plain,( 26.65/26.87 ! [X0 : color1,X1 : tree1,X2 : $int,X3 : $int,X4 : tree1] : node_proj_51(node1(X0,X1,X2,X3,X4)) = X4), 26.65/26.87 inference(rectify,[],[f17])). 26.65/26.87 tff(f96,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(node1(X4,X2,X0,X1,X3)) => bst1(X3))), 26.65/26.87 inference(rectify,[],[f34])). 26.65/26.87 tff(f97,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(node1(X4,X2,X0,X1,X3)) => bst1(X2))), 26.65/26.87 inference(rectify,[],[f31])). 26.65/26.87 tff(f101,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (gt_tree1(X0,X3) => (gt_tree1(X0,X4) => ($less(X0,X1) => gt_tree1(X0,node1(X5,X3,X1,X2,X4)))))), 26.65/26.87 inference(rectify,[],[f19])). 26.65/26.87 tff(f102,plain,( 26.65/26.87 ! [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)))))), 26.65/26.87 inference(rectify,[],[f2])). 26.65/26.87 tff(f103,plain,( 26.65/26.87 ! [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)))), 26.65/26.87 inference(rectify,[],[f13])). 26.65/26.87 tff(f104,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (gt_tree1(X0,node1(X5,X3,X1,X2,X4)) => $less(X0,X1))), 26.65/26.87 inference(rectify,[],[f26])). 26.65/26.87 tff(f105,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (lt_tree1(X0,node1(X5,X3,X1,X2,X4)) => $less(X1,X0))), 26.65/26.87 inference(rectify,[],[f23])). 26.65/26.87 tff(f106,plain,( 26.65/26.87 ! [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))), 26.65/26.87 inference(rectify,[],[f27])). 26.65/26.87 tff(f107,plain,( 26.65/26.87 ! [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))), 26.65/26.87 inference(rectify,[],[f8])). 26.65/26.87 tff(f109,plain,( 26.65/26.87 ! [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))), 26.65/26.87 inference(rectify,[],[f22])). 26.65/26.87 tff(f113,plain,( 26.65/26.87 ? [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)))), 26.65/26.87 inference(ennf_transformation,[],[f65])). 26.65/26.87 tff(f114,plain,( 26.65/26.87 ? [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))), 26.65/26.87 inference(flattening,[],[f113])). 26.65/26.87 tff(f119,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int] : (! [X2 : tree1] : (gt_tree1(X1,X2) | ~gt_tree1(X0,X2)) | ~$less(X1,X0))), 26.65/26.87 inference(ennf_transformation,[],[f79])). 26.65/26.87 tff(f120,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int] : (! [X2 : tree1] : (lt_tree1(X1,X2) | ~lt_tree1(X0,X2)) | ~$less(X0,X1))), 26.65/26.87 inference(ennf_transformation,[],[f80])). 26.65/26.87 tff(f133,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(X3) | ~bst1(node1(X4,X2,X0,X1,X3)))), 26.65/26.87 inference(ennf_transformation,[],[f96])). 26.65/26.87 tff(f134,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : tree1,X3 : tree1,X4 : color1] : (bst1(X2) | ~bst1(node1(X4,X2,X0,X1,X3)))), 26.65/26.87 inference(ennf_transformation,[],[f97])). 26.65/26.87 tff(f138,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (((gt_tree1(X0,node1(X5,X3,X1,X2,X4)) | ~$less(X0,X1)) | ~gt_tree1(X0,X4)) | ~gt_tree1(X0,X3))), 26.65/26.87 inference(ennf_transformation,[],[f101])). 26.65/26.87 tff(f139,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : (gt_tree1(X0,node1(X5,X3,X1,X2,X4)) | ~$less(X0,X1) | ~gt_tree1(X0,X4) | ~gt_tree1(X0,X3))), 26.65/26.87 inference(flattening,[],[f138])). 26.65/26.87 tff(f140,plain,( 26.65/26.87 ! [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))), 26.65/26.87 inference(ennf_transformation,[],[f102])). 26.65/26.87 tff(f141,plain,( 26.65/26.87 ! [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))), 26.65/26.87 inference(flattening,[],[f140])). 26.65/26.87 tff(f142,plain,( 26.65/26.87 ! [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)))), 26.65/26.87 inference(ennf_transformation,[],[f103])). 26.65/26.87 tff(f143,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : ($less(X0,X1) | ~gt_tree1(X0,node1(X5,X3,X1,X2,X4)))), 26.65/26.87 inference(ennf_transformation,[],[f104])). 26.65/26.87 tff(f144,plain,( 26.65/26.87 ! [X0 : $int,X1 : $int,X2 : $int,X3 : tree1,X4 : tree1,X5 : color1] : ($less(X1,X0) | ~lt_tree1(X0,node1(X5,X3,X1,X2,X4)))), 26.65/26.87 inference(ennf_transformation,[],[f105])). 26.65/26.87 tff(f145,plain,( 26.65/26.87 ! [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)))), 26.65/26.87 inference(ennf_transformation,[],[f106])). 26.65/26.87 tff(f146,plain,( 26.65/26.87 ! [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)))), 26.65/26.87 inference(ennf_transformation,[],[f107])). 26.65/26.87 tff(f148,plain,( 26.65/26.87 ! [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)))), 26.65/26.87 inference(ennf_transformation,[],[f109])). 26.65/26.87 tff(f545,plain,( 26.65/26.87 red1 = sK4), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f723,plain,( 26.65/26.87 leaf1 = sK8 | ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | leaf1 = sK5 | ~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)))), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f804,plain,( 26.65/26.87 leaf1 = sK8 | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | leaf1 = sK5 | ~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)))), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f822,plain,( 26.65/26.87 leaf1 = sK8 | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | ~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)))), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f829,plain,( 26.65/26.87 leaf1 = sK8 | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3))) | node1(sK24,sK25,sK26,sK27,sK28) = sK5), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f834,plain,( 26.65/26.87 leaf1 = sK8 | red1 = sK19 | leaf1 = sK5 | node1(sK24,sK25,sK26,sK27,sK28) = sK5), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f840,plain,( 26.65/26.87 leaf1 = sK8 | ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | leaf1 = sK5 | node1(sK24,sK25,sK26,sK27,sK28) = sK5), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f843,plain,( 26.65/26.87 ~bst1(node1(red1,node1(black1,sK15,sK16,sK17,sK18),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | leaf1 = sK5 | node1(sK24,sK25,sK26,sK27,sK28) = sK5), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f867,plain,( 26.65/26.87 red1 = sK14 | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | leaf1 = sK5 | node1(sK24,sK25,sK26,sK27,sK28) = sK5), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f879,plain,( 26.65/26.87 node1(sK14,sK15,sK16,sK17,sK18) = sK5 | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | leaf1 = sK5 | node1(sK24,sK25,sK26,sK27,sK28) = sK5), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f920,plain,( 26.65/26.87 leaf1 = sK8 | node1(sK19,sK20,sK21,sK22,sK23) = sK5 | red1 = sK9), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f923,plain,( 26.65/26.87 leaf1 = sK8 | ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | red1 = sK9), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f929,plain,( 26.65/26.87 node1(sK14,sK15,sK16,sK17,sK18) = sK5 | node1(sK9,sK10,sK11,sK12,sK13) = sK8), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f930,plain,( 26.65/26.87 red1 = sK14 | node1(sK9,sK10,sK11,sK12,sK13) = sK8), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f932,plain,( 26.65/26.87 ~bst1(node1(red1,node1(black1,sK15,sK16,sK17,sK18),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | node1(sK9,sK10,sK11,sK12,sK13) = sK8), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f934,plain,( 26.65/26.87 node1(sK4,sK5,sK6,sK7,sK8) = sK0), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f935,plain,( 26.65/26.87 lt_tree1(sK1,sK0)), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f936,plain,( 26.65/26.87 bst1(sK3)), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f937,plain,( 26.65/26.87 bst1(sK0)), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f938,plain,( 26.65/26.87 gt_tree1(sK1,sK3)), 26.65/26.87 inference(cnf_transformation,[],[f114])). 26.65/26.87 tff(f946,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (bst1(node1(X0,X1,X2,X3,X4)) | ~bst1(X1) | ~bst1(X4) | ~lt_tree1(X2,X1) | ~gt_tree1(X2,X4)) )), 26.65/26.87 inference(cnf_transformation,[],[f67])). 26.65/26.87 tff(f947,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | bst1(X1)) )), 26.65/26.87 inference(cnf_transformation,[],[f67])). 26.65/26.87 tff(f948,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | bst1(X4)) )), 26.65/26.87 inference(cnf_transformation,[],[f67])). 26.65/26.87 tff(f949,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | lt_tree1(X2,X1)) )), 26.65/26.87 inference(cnf_transformation,[],[f67])). 26.65/26.87 tff(f950,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (~bst1(node1(X0,X1,X2,X3,X4)) | gt_tree1(X2,X4)) )), 26.65/26.87 inference(cnf_transformation,[],[f67])). 26.65/26.87 tff(f951,plain,( 26.65/26.87 bst1(leaf1)), 26.65/26.87 inference(cnf_transformation,[],[f67])). 26.65/26.87 tff(f954,plain,( 26.65/26.87 ( ! [X0:$int] : (lt_tree1(X0,leaf1)) )), 26.65/26.87 inference(cnf_transformation,[],[f70])). 26.65/26.87 tff(f985,plain,( 26.65/26.87 ( ! [X2:tree1,X0:$int,X1:$int] : (~$less(X1,X0) | ~gt_tree1(X0,X2) | gt_tree1(X1,X2)) )), 26.65/26.87 inference(cnf_transformation,[],[f119])). 26.65/26.87 tff(f986,plain,( 26.65/26.87 ( ! [X2:tree1,X0:$int,X1:$int] : (~$less(X0,X1) | ~lt_tree1(X0,X2) | lt_tree1(X1,X2)) )), 26.65/26.87 inference(cnf_transformation,[],[f120])). 26.65/26.87 tff(f1005,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (leaf1 != node1(X0,X1,X2,X3,X4)) )), 26.65/26.87 inference(cnf_transformation,[],[f90])). 26.65/26.87 tff(f1006,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (node_proj_31(node1(X0,X1,X2,X3,X4)) = X2) )), 26.65/26.87 inference(cnf_transformation,[],[f91])). 26.65/26.87 tff(f1007,plain,( 26.65/26.87 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (node_proj_41(node1(X0,X1,X2,X3,X4)) = X3) )), 26.65/26.88 inference(cnf_transformation,[],[f92])). 26.65/26.88 tff(f1008,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (node_proj_21(node1(X0,X1,X2,X3,X4)) = X1) )), 26.65/26.88 inference(cnf_transformation,[],[f93])). 26.65/26.88 tff(f1009,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:color1,X3:$int,X1:tree1] : (node_proj_51(node1(X0,X1,X2,X3,X4)) = X4) )), 26.65/26.88 inference(cnf_transformation,[],[f94])). 26.65/26.88 tff(f1011,plain,( 26.65/26.88 ( ! [X4:color1,X2:tree1,X0:$int,X3:tree1,X1:$int] : (~bst1(node1(X4,X2,X0,X1,X3)) | bst1(X3)) )), 26.65/26.88 inference(cnf_transformation,[],[f133])). 26.65/26.88 tff(f1012,plain,( 26.65/26.88 ( ! [X4:color1,X2:tree1,X0:$int,X3:tree1,X1:$int] : (~bst1(node1(X4,X2,X0,X1,X3)) | bst1(X2)) )), 26.65/26.88 inference(cnf_transformation,[],[f134])). 26.65/26.88 tff(f1016,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (gt_tree1(X0,node1(X5,X3,X1,X2,X4)) | ~gt_tree1(X0,X4) | ~$less(X0,X1) | ~gt_tree1(X0,X3)) )), 26.65/26.88 inference(cnf_transformation,[],[f139])). 26.65/26.88 tff(f1017,plain,( 26.65/26.88 ( ! [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)) )), 26.65/26.88 inference(cnf_transformation,[],[f141])). 26.65/26.88 tff(f1018,plain,( 26.65/26.88 ( ! [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))) )), 26.65/26.88 inference(cnf_transformation,[],[f142])). 26.65/26.88 tff(f1019,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~gt_tree1(X0,node1(X5,X3,X1,X2,X4)) | $less(X0,X1)) )), 26.65/26.88 inference(cnf_transformation,[],[f143])). 26.65/26.88 tff(f1020,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | $less(X1,X0)) )), 26.65/26.88 inference(cnf_transformation,[],[f144])). 26.65/26.88 tff(f1021,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | lt_tree1(X0,X3)) )), 26.65/26.88 inference(cnf_transformation,[],[f145])). 26.65/26.88 tff(f1022,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~lt_tree1(X0,node1(X5,X3,X1,X2,X4)) | lt_tree1(X0,X4)) )), 26.65/26.88 inference(cnf_transformation,[],[f146])). 26.65/26.88 tff(f1024,plain,( 26.65/26.88 ( ! [X4:tree1,X2:$int,X0:$int,X5:color1,X3:tree1,X1:$int] : (~gt_tree1(X0,node1(X5,X3,X1,X2,X4)) | gt_tree1(X0,X3)) )), 26.65/26.88 inference(cnf_transformation,[],[f148])). 26.65/26.88 tff(f1056,plain,( 26.65/26.88 spl36_0 <=> gt_tree1(sK1,sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_0])])). 26.65/26.88 tff(f1057,plain,( 26.65/26.88 gt_tree1(sK1,sK3) | ~spl36_0), 26.65/26.88 inference(AVATAR_component_clause,[],[f1056])). 26.65/26.88 tff(f1058,plain,( 26.65/26.88 spl36_0), 26.65/26.88 inference(AVATAR_split_clause,[],[f938,f1056])). 26.65/26.88 tff(f1060,plain,( 26.65/26.88 spl36_2 <=> bst1(sK0)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_2])])). 26.65/26.88 tff(f1062,plain,( 26.65/26.88 spl36_2), 26.65/26.88 inference(AVATAR_split_clause,[],[f937,f1060])). 26.65/26.88 tff(f1064,plain,( 26.65/26.88 spl36_4 <=> bst1(sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_4])])). 26.65/26.88 tff(f1066,plain,( 26.65/26.88 spl36_4), 26.65/26.88 inference(AVATAR_split_clause,[],[f936,f1064])). 26.65/26.88 tff(f1068,plain,( 26.65/26.88 spl36_6 <=> lt_tree1(sK1,sK0)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_6])])). 26.65/26.88 tff(f1069,plain,( 26.65/26.88 lt_tree1(sK1,sK0) | ~spl36_6), 26.65/26.88 inference(AVATAR_component_clause,[],[f1068])). 26.65/26.88 tff(f1070,plain,( 26.65/26.88 spl36_6), 26.65/26.88 inference(AVATAR_split_clause,[],[f935,f1068])). 26.65/26.88 tff(f1072,plain,( 26.65/26.88 spl36_8 <=> node1(sK4,sK5,sK6,sK7,sK8) = sK0), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_8])])). 26.65/26.88 tff(f1073,plain,( 26.65/26.88 node1(sK4,sK5,sK6,sK7,sK8) = sK0 | ~spl36_8), 26.65/26.88 inference(AVATAR_component_clause,[],[f1072])). 26.65/26.88 tff(f1074,plain,( 26.65/26.88 spl36_8), 26.65/26.88 inference(AVATAR_split_clause,[],[f934,f1072])). 26.65/26.88 tff(f1076,plain,( 26.65/26.88 spl36_10 <=> node1(sK9,sK10,sK11,sK12,sK13) = sK8), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_10])])). 26.65/26.88 tff(f1077,plain,( 26.65/26.88 node1(sK9,sK10,sK11,sK12,sK13) = sK8 | ~spl36_10), 26.65/26.88 inference(AVATAR_component_clause,[],[f1076])). 26.65/26.88 tff(f1079,plain,( 26.65/26.88 spl36_12 <=> leaf1 = sK8), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_12])])). 26.65/26.88 tff(f1080,plain,( 26.65/26.88 leaf1 = sK8 | ~spl36_12), 26.65/26.88 inference(AVATAR_component_clause,[],[f1079])). 26.65/26.88 tff(f1083,plain,( 26.65/26.88 spl36_15 <=> ~bst1(node1(red1,node1(black1,sK15,sK16,sK17,sK18),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3)))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_15])])). 26.65/26.88 tff(f1084,plain,( 26.65/26.88 ~bst1(node1(red1,node1(black1,sK15,sK16,sK17,sK18),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | ~spl36_15), 26.65/26.88 inference(AVATAR_component_clause,[],[f1083])). 26.65/26.88 tff(f1085,plain,( 26.65/26.88 spl36_10 | ~spl36_15), 26.65/26.88 inference(AVATAR_split_clause,[],[f932,f1083,f1076])). 26.65/26.88 tff(f1087,plain,( 26.65/26.88 spl36_16 <=> red1 = sK4), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_16])])). 26.65/26.88 tff(f1088,plain,( 26.65/26.88 red1 = sK4 | ~spl36_16), 26.65/26.88 inference(AVATAR_component_clause,[],[f1087])). 26.65/26.88 tff(f1091,plain,( 26.65/26.88 spl36_18 <=> red1 = sK14), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_18])])). 26.65/26.88 tff(f1092,plain,( 26.65/26.88 red1 = sK14 | ~spl36_18), 26.65/26.88 inference(AVATAR_component_clause,[],[f1091])). 26.65/26.88 tff(f1093,plain,( 26.65/26.88 spl36_10 | spl36_18), 26.65/26.88 inference(AVATAR_split_clause,[],[f930,f1091,f1076])). 26.65/26.88 tff(f1095,plain,( 26.65/26.88 spl36_20 <=> node1(sK14,sK15,sK16,sK17,sK18) = sK5), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_20])])). 26.65/26.88 tff(f1096,plain,( 26.65/26.88 node1(sK14,sK15,sK16,sK17,sK18) = sK5 | ~spl36_20), 26.65/26.88 inference(AVATAR_component_clause,[],[f1095])). 26.65/26.88 tff(f1097,plain,( 26.65/26.88 spl36_10 | spl36_20), 26.65/26.88 inference(AVATAR_split_clause,[],[f929,f1095,f1076])). 26.65/26.88 tff(f1099,plain,( 26.65/26.88 spl36_22 <=> red1 = sK9), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_22])])). 26.65/26.88 tff(f1100,plain,( 26.65/26.88 red1 = sK9 | ~spl36_22), 26.65/26.88 inference(AVATAR_component_clause,[],[f1099])). 26.65/26.88 tff(f1102,plain,( 26.65/26.88 spl36_25 <=> ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3)))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_25])])). 26.65/26.88 tff(f1103,plain,( 26.65/26.88 ~bst1(node1(red1,node1(black1,sK20,sK21,sK22,sK23),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | ~spl36_25), 26.65/26.88 inference(AVATAR_component_clause,[],[f1102])). 26.65/26.88 tff(f1104,plain,( 26.65/26.88 spl36_22 | ~spl36_25 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f923,f1079,f1102,f1099])). 26.65/26.88 tff(f1107,plain,( 26.65/26.88 spl36_26 <=> red1 = sK19), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_26])])). 26.65/26.88 tff(f1108,plain,( 26.65/26.88 red1 = sK19 | ~spl36_26), 26.65/26.88 inference(AVATAR_component_clause,[],[f1107])). 26.65/26.88 tff(f1111,plain,( 26.65/26.88 spl36_28 <=> node1(sK19,sK20,sK21,sK22,sK23) = sK5), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_28])])). 26.65/26.88 tff(f1112,plain,( 26.65/26.88 node1(sK19,sK20,sK21,sK22,sK23) = sK5 | ~spl36_28), 26.65/26.88 inference(AVATAR_component_clause,[],[f1111])). 26.65/26.88 tff(f1113,plain,( 26.65/26.88 spl36_22 | spl36_28 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f920,f1079,f1111,f1099])). 26.65/26.88 tff(f1131,plain,( 26.65/26.88 spl36_30 <=> node1(sK24,sK25,sK26,sK27,sK28) = sK5), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_30])])). 26.65/26.88 tff(f1132,plain,( 26.65/26.88 node1(sK24,sK25,sK26,sK27,sK28) = sK5 | ~spl36_30), 26.65/26.88 inference(AVATAR_component_clause,[],[f1131])). 26.65/26.88 tff(f1134,plain,( 26.65/26.88 spl36_32 <=> leaf1 = sK5), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_32])])). 26.65/26.88 tff(f1135,plain,( 26.65/26.88 leaf1 = sK5 | ~spl36_32), 26.65/26.88 inference(AVATAR_component_clause,[],[f1134])). 26.65/26.88 tff(f1142,plain,( 26.65/26.88 spl36_37 <=> ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3)))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_37])])). 26.65/26.88 tff(f1143,plain,( 26.65/26.88 ~bst1(node1(red1,node1(black1,sK5,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3))) | ~spl36_37), 26.65/26.88 inference(AVATAR_component_clause,[],[f1142])). 26.65/26.88 tff(f1166,plain,( 26.65/26.88 spl36_30 | spl36_32 | spl36_28 | spl36_20), 26.65/26.88 inference(AVATAR_split_clause,[],[f879,f1095,f1111,f1134,f1131])). 26.65/26.88 tff(f1178,plain,( 26.65/26.88 spl36_30 | spl36_32 | spl36_28 | spl36_18), 26.65/26.88 inference(AVATAR_split_clause,[],[f867,f1091,f1111,f1134,f1131])). 26.65/26.88 tff(f1202,plain,( 26.65/26.88 spl36_30 | spl36_32 | spl36_28 | ~spl36_15), 26.65/26.88 inference(AVATAR_split_clause,[],[f843,f1083,f1111,f1134,f1131])). 26.65/26.88 tff(f1205,plain,( 26.65/26.88 spl36_30 | spl36_32 | ~spl36_25 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f840,f1079,f1102,f1134,f1131])). 26.65/26.88 tff(f1211,plain,( 26.65/26.88 spl36_30 | spl36_32 | spl36_26 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f834,f1079,f1107,f1134,f1131])). 26.65/26.88 tff(f1216,plain,( 26.65/26.88 spl36_30 | ~spl36_37 | spl36_28 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f829,f1079,f1111,f1142,f1131])). 26.65/26.88 tff(f1229,plain,( 26.65/26.88 spl36_43 <=> ~bst1(node1(red1,node1(black1,sK25,sK26,sK27,sK28),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3)))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_43])])). 26.65/26.88 tff(f1230,plain,( 26.65/26.88 ~bst1(node1(red1,node1(black1,sK25,sK26,sK27,sK28),sK6,sK7,node1(black1,sK8,sK1,sK2,sK3))) | ~spl36_43), 26.65/26.88 inference(AVATAR_component_clause,[],[f1229])). 26.65/26.88 tff(f1231,plain,( 26.65/26.88 ~spl36_37 | ~spl36_43 | spl36_28 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f822,f1079,f1111,f1229,f1142])). 26.65/26.88 tff(f1247,plain,( 26.65/26.88 ~spl36_37 | ~spl36_43 | spl36_32 | spl36_28 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f804,f1079,f1111,f1134,f1229,f1142])). 26.65/26.88 tff(f1319,plain,( 26.65/26.88 ~spl36_37 | ~spl36_43 | spl36_32 | ~spl36_25 | spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f723,f1079,f1102,f1134,f1229,f1142])). 26.65/26.88 tff(f1477,plain,( 26.65/26.88 spl36_16), 26.65/26.88 inference(AVATAR_split_clause,[],[f545,f1087])). 26.65/26.88 tff(f1830,plain,( 26.65/26.88 spl36_46 <=> node1(red1,sK15,sK16,sK17,sK18) = sK5), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_46])])). 26.65/26.88 tff(f1831,plain,( 26.65/26.88 node1(red1,sK15,sK16,sK17,sK18) = sK5 | ~spl36_46), 26.65/26.88 inference(AVATAR_component_clause,[],[f1830])). 26.65/26.88 tff(f1832,plain,( 26.65/26.88 node1(red1,sK15,sK16,sK17,sK18) = sK5 | (~spl36_18 | ~spl36_20)), 26.65/26.88 inference(backward_demodulation,[],[f1092,f1096])). 26.65/26.88 tff(f1833,plain,( 26.65/26.88 spl36_46 | ~spl36_18 | ~spl36_20), 26.65/26.88 inference(AVATAR_split_clause,[],[f1832,f1095,f1091,f1830])). 26.65/26.88 tff(f1848,plain,( 26.65/26.88 spl36_52 <=> node1(red1,sK5,sK6,sK7,sK8) = sK0), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_52])])). 26.65/26.88 tff(f1849,plain,( 26.65/26.88 node1(red1,sK5,sK6,sK7,sK8) = sK0 | ~spl36_52), 26.65/26.88 inference(AVATAR_component_clause,[],[f1848])). 26.65/26.88 tff(f1851,plain,( 26.65/26.88 spl36_54 <=> node1(red1,sK20,sK21,sK22,sK23) = sK5), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_54])])). 26.65/26.88 tff(f1852,plain,( 26.65/26.88 node1(red1,sK20,sK21,sK22,sK23) = sK5 | ~spl36_54), 26.65/26.88 inference(AVATAR_component_clause,[],[f1851])). 26.65/26.88 tff(f1853,plain,( 26.65/26.88 node1(red1,sK5,sK6,sK7,sK8) = sK0 | (~spl36_8 | ~spl36_16)), 26.65/26.88 inference(forward_demodulation,[],[f1073,f1088])). 26.65/26.88 tff(f1854,plain,( 26.65/26.88 spl36_52 | ~spl36_8 | ~spl36_16), 26.65/26.88 inference(AVATAR_split_clause,[],[f1853,f1087,f1072,f1848])). 26.65/26.88 tff(f1855,plain,( 26.65/26.88 node1(red1,sK20,sK21,sK22,sK23) = sK5 | (~spl36_26 | ~spl36_28)), 26.65/26.88 inference(backward_demodulation,[],[f1108,f1112])). 26.65/26.88 tff(f1856,plain,( 26.65/26.88 spl36_54 | ~spl36_26 | ~spl36_28), 26.65/26.88 inference(AVATAR_split_clause,[],[f1855,f1111,f1107,f1851])). 26.65/26.88 tff(f1858,plain,( 26.65/26.88 spl36_56 <=> leaf1 = node1(sK9,sK10,sK11,sK12,sK13)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_56])])). 26.65/26.88 tff(f1859,plain,( 26.65/26.88 leaf1 = node1(sK9,sK10,sK11,sK12,sK13) | ~spl36_56), 26.65/26.88 inference(AVATAR_component_clause,[],[f1858])). 26.65/26.88 tff(f1863,plain,( 26.65/26.88 leaf1 = node1(sK9,sK10,sK11,sK12,sK13) | (~spl36_10 | ~spl36_12)), 26.65/26.88 inference(backward_demodulation,[],[f1080,f1077])). 26.65/26.88 tff(f1867,plain,( 26.65/26.88 spl36_56 | ~spl36_10 | ~spl36_12), 26.65/26.88 inference(AVATAR_split_clause,[],[f1863,f1079,f1076,f1858])). 26.65/26.88 tff(f1884,plain,( 26.65/26.88 leaf1 != sK5 | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1005,f1112])). 26.65/26.88 tff(f1885,plain,( 26.65/26.88 node_proj_31(sK5) = sK21 | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1006,f1112])). 26.65/26.88 tff(f1886,plain,( 26.65/26.88 node_proj_41(sK5) = sK22 | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1007,f1112])). 26.65/26.88 tff(f1887,plain,( 26.65/26.88 node_proj_21(sK5) = sK20 | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1008,f1112])). 26.65/26.88 tff(f1888,plain,( 26.65/26.88 node_proj_51(sK5) = sK23 | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1009,f1112])). 26.65/26.88 tff(f1896,plain,( 26.65/26.88 ( ! [X12:color1] : (~bst1(sK5) | bst1(node1(X12,sK20,sK21,sK22,sK23))) ) | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1018,f1112])). 26.65/26.88 tff(f1899,plain,( 26.65/26.88 ( ! [X15:$int] : (~lt_tree1(X15,sK5) | lt_tree1(X15,sK20)) ) | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1021,f1112])). 26.65/26.88 tff(f1900,plain,( 26.65/26.88 ( ! [X16:$int] : (~lt_tree1(X16,sK5) | lt_tree1(X16,sK23)) ) | ~spl36_28), 26.65/26.88 inference(superposition,[],[f1022,f1112])). 26.65/26.88 tff(f1925,plain,( 26.65/26.88 spl36_70 <=> bst1(sK5)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_70])])). 26.65/26.88 tff(f1932,plain,( 26.65/26.88 spl36_71 <=> ~bst1(sK5)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_71])])). 26.65/26.88 tff(f1948,plain,( 26.65/26.88 spl36_33 <=> leaf1 != sK5), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_33])])). 26.65/26.88 tff(f1950,plain,( 26.65/26.88 ~spl36_33 | ~spl36_28), 26.65/26.88 inference(AVATAR_split_clause,[],[f1884,f1111,f1948])). 26.65/26.88 tff(f1952,plain,( 26.65/26.88 spl36_72 <=> node_proj_31(sK5) = sK21), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_72])])). 26.65/26.88 tff(f1953,plain,( 26.65/26.88 node_proj_31(sK5) = sK21 | ~spl36_72), 26.65/26.88 inference(AVATAR_component_clause,[],[f1952])). 26.65/26.88 tff(f1954,plain,( 26.65/26.88 spl36_72 | ~spl36_28), 26.65/26.88 inference(AVATAR_split_clause,[],[f1885,f1111,f1952])). 26.65/26.88 tff(f1956,plain,( 26.65/26.88 spl36_74 <=> node_proj_41(sK5) = sK22), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_74])])). 26.65/26.88 tff(f1957,plain,( 26.65/26.88 node_proj_41(sK5) = sK22 | ~spl36_74), 26.65/26.88 inference(AVATAR_component_clause,[],[f1956])). 26.65/26.88 tff(f1958,plain,( 26.65/26.88 spl36_74 | ~spl36_28), 26.65/26.88 inference(AVATAR_split_clause,[],[f1886,f1111,f1956])). 26.65/26.88 tff(f1960,plain,( 26.65/26.88 spl36_76 <=> node_proj_21(sK5) = sK20), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_76])])). 26.65/26.88 tff(f1961,plain,( 26.65/26.88 node_proj_21(sK5) = sK20 | ~spl36_76), 26.65/26.88 inference(AVATAR_component_clause,[],[f1960])). 26.65/26.88 tff(f1962,plain,( 26.65/26.88 spl36_76 | ~spl36_28), 26.65/26.88 inference(AVATAR_split_clause,[],[f1887,f1111,f1960])). 26.65/26.88 tff(f1964,plain,( 26.65/26.88 spl36_78 <=> node_proj_51(sK5) = sK23), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_78])])). 26.65/26.88 tff(f1965,plain,( 26.65/26.88 node_proj_51(sK5) = sK23 | ~spl36_78), 26.65/26.88 inference(AVATAR_component_clause,[],[f1964])). 26.65/26.88 tff(f1966,plain,( 26.65/26.88 spl36_78 | ~spl36_28), 26.65/26.88 inference(AVATAR_split_clause,[],[f1888,f1111,f1964])). 26.65/26.88 tff(f1985,plain,( 26.65/26.88 spl36_88 <=> ! [X12 : color1] : bst1(node1(X12,sK20,sK21,sK22,sK23))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_88])])). 26.65/26.88 tff(f1986,plain,( 26.65/26.88 ( ! [X12:color1] : (bst1(node1(X12,sK20,sK21,sK22,sK23))) ) | ~spl36_88), 26.65/26.88 inference(AVATAR_component_clause,[],[f1985])). 26.65/26.88 tff(f1987,plain,( 26.65/26.88 spl36_88 | ~spl36_71 | ~spl36_28), 26.65/26.88 inference(AVATAR_split_clause,[],[f1896,f1111,f1932,f1985])). 26.65/26.88 tff(f1999,plain,( 26.65/26.88 ~bst1(sK5) | bst1(sK25) | ~spl36_30), 26.65/26.88 inference(superposition,[],[f947,f1132])). 26.65/26.88 tff(f2001,plain,( 26.65/26.88 ~bst1(sK5) | lt_tree1(sK26,sK25) | ~spl36_30), 26.65/26.88 inference(superposition,[],[f949,f1132])). 26.65/26.88 tff(f2002,plain,( 26.65/26.88 ~bst1(sK5) | gt_tree1(sK26,sK28) | ~spl36_30), 26.65/26.88 inference(superposition,[],[f950,f1132])). 26.65/26.88 tff(f2008,plain,( 26.65/26.88 node_proj_31(sK5) = sK26 | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1006,f1132])). 26.65/26.88 tff(f2009,plain,( 26.65/26.88 node_proj_41(sK5) = sK27 | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1007,f1132])). 26.65/26.88 tff(f2010,plain,( 26.65/26.88 node_proj_21(sK5) = sK25 | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1008,f1132])). 26.65/26.88 tff(f2011,plain,( 26.65/26.88 node_proj_51(sK5) = sK28 | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1009,f1132])). 26.65/26.88 tff(f2013,plain,( 26.65/26.88 ~bst1(sK5) | bst1(sK28) | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1011,f1132])). 26.65/26.88 tff(f2021,plain,( 26.65/26.88 ( ! [X14:$int] : (~lt_tree1(X14,sK5) | $less(sK26,X14)) ) | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1020,f1132])). 26.65/26.88 tff(f2022,plain,( 26.65/26.88 ( ! [X15:$int] : (~lt_tree1(X15,sK5) | lt_tree1(X15,sK25)) ) | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1021,f1132])). 26.65/26.88 tff(f2023,plain,( 26.65/26.88 ( ! [X16:$int] : (~lt_tree1(X16,sK5) | lt_tree1(X16,sK28)) ) | ~spl36_30), 26.65/26.88 inference(superposition,[],[f1022,f1132])). 26.65/26.88 tff(f2036,plain,( 26.65/26.88 spl36_97 <=> ~gt_tree1(sK26,sK28)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_97])])). 26.65/26.88 tff(f2039,plain,( 26.65/26.88 spl36_99 <=> ~lt_tree1(sK26,sK25)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_99])])). 26.65/26.88 tff(f2042,plain,( 26.65/26.88 spl36_101 <=> ~bst1(sK28)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_101])])). 26.65/26.88 tff(f2045,plain,( 26.65/26.88 spl36_103 <=> ~bst1(sK25)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_103])])). 26.65/26.88 tff(f2048,plain,( 26.65/26.88 sK21 = sK26 | (~spl36_30 | ~spl36_72)), 26.65/26.88 inference(forward_demodulation,[],[f2008,f1953])). 26.65/26.88 tff(f2050,plain,( 26.65/26.88 spl36_104 <=> sK21 = sK26), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_104])])). 26.65/26.88 tff(f2052,plain,( 26.65/26.88 spl36_104 | ~spl36_30 | ~spl36_72), 26.65/26.88 inference(AVATAR_split_clause,[],[f2048,f1952,f1131,f2050])). 26.65/26.88 tff(f2053,plain,( 26.65/26.88 sK22 = sK27 | (~spl36_30 | ~spl36_74)), 26.65/26.88 inference(forward_demodulation,[],[f2009,f1957])). 26.65/26.88 tff(f2055,plain,( 26.65/26.88 spl36_106 <=> sK22 = sK27), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_106])])). 26.65/26.88 tff(f2057,plain,( 26.65/26.88 spl36_106 | ~spl36_30 | ~spl36_74), 26.65/26.88 inference(AVATAR_split_clause,[],[f2053,f1956,f1131,f2055])). 26.65/26.88 tff(f2058,plain,( 26.65/26.88 sK20 = sK25 | (~spl36_30 | ~spl36_76)), 26.65/26.88 inference(forward_demodulation,[],[f2010,f1961])). 26.65/26.88 tff(f2060,plain,( 26.65/26.88 spl36_108 <=> sK20 = sK25), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_108])])). 26.65/26.88 tff(f2062,plain,( 26.65/26.88 spl36_108 | ~spl36_30 | ~spl36_76), 26.65/26.88 inference(AVATAR_split_clause,[],[f2058,f1960,f1131,f2060])). 26.65/26.88 tff(f2063,plain,( 26.65/26.88 sK23 = sK28 | (~spl36_30 | ~spl36_78)), 26.65/26.88 inference(forward_demodulation,[],[f2011,f1965])). 26.65/26.88 tff(f2065,plain,( 26.65/26.88 spl36_110 <=> sK23 = sK28), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_110])])). 26.65/26.88 tff(f2067,plain,( 26.65/26.88 spl36_110 | ~spl36_30 | ~spl36_78), 26.65/26.88 inference(AVATAR_split_clause,[],[f2063,f1964,f1131,f2065])). 26.65/26.88 tff(f2131,plain,( 26.65/26.88 spl36_3 <=> ~bst1(sK0)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_3])])). 26.65/26.88 tff(f2135,plain,( 26.65/26.88 spl36_122 <=> lt_tree1(sK6,sK5)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_122])])). 26.65/26.88 tff(f2136,plain,( 26.65/26.88 lt_tree1(sK6,sK5) | ~spl36_122), 26.65/26.88 inference(AVATAR_component_clause,[],[f2135])). 26.65/26.88 tff(f2197,plain,( 26.65/26.88 leaf1 != sK5 | ~spl36_46), 26.65/26.88 inference(superposition,[],[f1005,f1831])). 26.65/26.88 tff(f2209,plain,( 26.65/26.88 ( ! [X20:color1] : (~bst1(sK5) | bst1(node1(X20,sK15,sK16,sK17,sK18))) ) | ~spl36_46), 26.65/26.88 inference(superposition,[],[f1018,f1831])). 26.65/26.88 tff(f2211,plain,( 26.65/26.88 ( ! [X22:$int] : (~lt_tree1(X22,sK5) | $less(sK16,X22)) ) | ~spl36_46), 26.65/26.88 inference(superposition,[],[f1020,f1831])). 26.65/26.88 tff(f2212,plain,( 26.65/26.88 ( ! [X23:$int] : (~lt_tree1(X23,sK5) | lt_tree1(X23,sK15)) ) | ~spl36_46), 26.65/26.88 inference(superposition,[],[f1021,f1831])). 26.65/26.88 tff(f2213,plain,( 26.65/26.88 ( ! [X24:$int] : (~lt_tree1(X24,sK5) | lt_tree1(X24,sK18)) ) | ~spl36_46), 26.65/26.88 inference(superposition,[],[f1022,f1831])). 26.65/26.88 tff(f2274,plain,( 26.65/26.88 spl36_168 <=> ! [X20 : color1] : bst1(node1(X20,sK15,sK16,sK17,sK18))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_168])])). 26.65/26.88 tff(f2275,plain,( 26.65/26.88 ( ! [X20:color1] : (bst1(node1(X20,sK15,sK16,sK17,sK18))) ) | ~spl36_168), 26.65/26.88 inference(AVATAR_component_clause,[],[f2274])). 26.65/26.88 tff(f2276,plain,( 26.65/26.88 spl36_168 | ~spl36_71 | ~spl36_46), 26.65/26.88 inference(AVATAR_split_clause,[],[f2209,f1830,f1932,f2274])). 26.65/26.88 tff(f2360,plain,( 26.65/26.88 leaf1 != leaf1 | ~spl36_56), 26.65/26.88 inference(superposition,[],[f1005,f1859])). 26.65/26.88 tff(f2384,plain,( 26.65/26.88 $false | ~spl36_56), 26.65/26.88 inference(trivial_inequality_removal,[],[f2360])). 26.65/26.88 tff(f2385,plain,( 26.65/26.88 ~spl36_56), 26.65/26.88 inference(AVATAR_contradiction_clause,[],[f2384,f1858])). 26.65/26.88 tff(f2391,plain,( 26.65/26.88 spl36_198 <=> bst1(sK10)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_198])])). 26.65/26.88 tff(f2394,plain,( 26.65/26.88 spl36_201 <=> ~bst1(leaf1)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_201])])). 26.65/26.88 tff(f2395,plain,( 26.65/26.88 ~bst1(leaf1) | ~spl36_201), 26.65/26.88 inference(AVATAR_component_clause,[],[f2394])). 26.65/26.88 tff(f2398,plain,( 26.65/26.88 spl36_202 <=> bst1(sK13)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_202])])). 26.65/26.88 tff(f2402,plain,( 26.65/26.88 spl36_204 <=> lt_tree1(sK11,sK10)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_204])])). 26.65/26.88 tff(f2406,plain,( 26.65/26.88 spl36_206 <=> gt_tree1(sK11,sK13)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_206])])). 26.65/26.88 tff(f2456,plain,( 26.65/26.88 spl36_123 <=> ~lt_tree1(sK6,sK5)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_123])])). 26.65/26.88 tff(f2465,plain,( 26.65/26.88 spl36_233 <=> ~gt_tree1(sK11,node1(black1,sK13,sK1,sK2,sK3))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_233])])). 26.65/26.88 tff(f2466,plain,( 26.65/26.88 ~gt_tree1(sK11,node1(black1,sK13,sK1,sK2,sK3)) | ~spl36_233), 26.65/26.88 inference(AVATAR_component_clause,[],[f2465])). 26.65/26.88 tff(f2468,plain,( 26.65/26.88 spl36_235 <=> ~lt_tree1(sK11,node1(black1,sK5,sK6,sK7,sK10))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_235])])). 26.65/26.88 tff(f2469,plain,( 26.65/26.88 ~lt_tree1(sK11,node1(black1,sK5,sK6,sK7,sK10)) | ~spl36_235), 26.65/26.88 inference(AVATAR_component_clause,[],[f2468])). 26.65/26.88 tff(f2471,plain,( 26.65/26.88 spl36_237 <=> ~bst1(node1(black1,sK13,sK1,sK2,sK3))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_237])])). 26.65/26.88 tff(f2472,plain,( 26.65/26.88 ~bst1(node1(black1,sK13,sK1,sK2,sK3)) | ~spl36_237), 26.65/26.88 inference(AVATAR_component_clause,[],[f2471])). 26.65/26.88 tff(f2474,plain,( 26.65/26.88 spl36_239 <=> ~bst1(node1(black1,sK5,sK6,sK7,sK10))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_239])])). 26.65/26.88 tff(f2475,plain,( 26.65/26.88 ~bst1(node1(black1,sK5,sK6,sK7,sK10)) | ~spl36_239), 26.65/26.88 inference(AVATAR_component_clause,[],[f2474])). 26.65/26.88 tff(f2580,plain,( 26.65/26.88 spl36_254 <=> $less(sK6,sK1)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_254])])). 26.65/26.88 tff(f2581,plain,( 26.65/26.88 $less(sK6,sK1) | ~spl36_254), 26.65/26.88 inference(AVATAR_component_clause,[],[f2580])). 26.65/26.88 tff(f2584,plain,( 26.65/26.88 ( ! [X1:tree1] : (~gt_tree1(sK1,X1) | gt_tree1(sK6,X1)) ) | ~spl36_254), 26.65/26.88 inference(resolution,[],[f2581,f985])). 26.65/26.88 tff(f2593,plain,( 26.65/26.88 $less(sK16,sK6) | (~spl36_46 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f2211,f2136])). 26.65/26.88 tff(f2599,plain,( 26.65/26.88 spl36_260 <=> $less(sK16,sK6)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_260])])). 26.65/26.88 tff(f2601,plain,( 26.65/26.88 spl36_260 | ~spl36_46 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f2593,f2135,f1830,f2599])). 26.65/26.88 tff(f2605,plain,( 26.65/26.88 lt_tree1(sK6,sK15) | (~spl36_46 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f2212,f2136])). 26.65/26.88 tff(f2611,plain,( 26.65/26.88 spl36_264 <=> lt_tree1(sK6,sK15)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_264])])). 26.65/26.88 tff(f2613,plain,( 26.65/26.88 spl36_264 | ~spl36_46 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f2605,f2135,f1830,f2611])). 26.65/26.88 tff(f2615,plain,( 26.65/26.88 lt_tree1(sK6,sK18) | (~spl36_46 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f2213,f2136])). 26.65/26.88 tff(f2621,plain,( 26.65/26.88 spl36_268 <=> lt_tree1(sK6,sK18)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_268])])). 26.65/26.88 tff(f2623,plain,( 26.65/26.88 spl36_268 | ~spl36_46 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f2615,f2135,f1830,f2621])). 26.65/26.88 tff(f2646,plain,( 26.65/26.88 spl36_255 <=> ~$less(sK6,sK1)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_255])])). 26.65/26.88 tff(f2649,plain,( 26.65/26.88 spl36_273 <=> ~gt_tree1(sK6,sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_273])])). 26.65/26.88 tff(f2652,plain,( 26.65/26.88 ~gt_tree1(sK11,sK3) | ~$less(sK11,sK1) | ~gt_tree1(sK11,sK13) | ~spl36_233), 26.65/26.88 inference(resolution,[],[f2466,f1016])). 26.65/26.88 tff(f2655,plain,( 26.65/26.88 spl36_207 <=> ~gt_tree1(sK11,sK13)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_207])])). 26.65/26.88 tff(f2658,plain,( 26.65/26.88 spl36_275 <=> ~$less(sK11,sK1)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_275])])). 26.65/26.88 tff(f2661,plain,( 26.65/26.88 spl36_277 <=> ~gt_tree1(sK11,sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_277])])). 26.65/26.88 tff(f2663,plain,( 26.65/26.88 ~spl36_207 | ~spl36_275 | ~spl36_277 | spl36_233), 26.65/26.88 inference(AVATAR_split_clause,[],[f2652,f2465,f2661,f2658,f2655])). 26.65/26.88 tff(f2837,plain,( 26.65/26.88 spl36_1 <=> ~gt_tree1(sK1,sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_1])])). 26.65/26.88 tff(f2843,plain,( 26.65/26.88 spl36_5 <=> ~bst1(sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_5])])). 26.65/26.88 tff(f2893,plain,( 26.65/26.88 gt_tree1(sK6,sK3) | (~spl36_0 | ~spl36_254)), 26.65/26.88 inference(resolution,[],[f2584,f1057])). 26.65/26.88 tff(f2897,plain,( 26.65/26.88 spl36_272 <=> gt_tree1(sK6,sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_272])])). 26.65/26.88 tff(f2899,plain,( 26.65/26.88 spl36_272 | ~spl36_0 | ~spl36_254), 26.65/26.88 inference(AVATAR_split_clause,[],[f2893,f2580,f1056,f2897])). 26.65/26.88 tff(f2908,plain,( 26.65/26.88 spl36_293 <=> ~lt_tree1(sK6,node1(black1,sK25,sK26,sK27,sK28))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_293])])). 26.65/26.88 tff(f2909,plain,( 26.65/26.88 ~lt_tree1(sK6,node1(black1,sK25,sK26,sK27,sK28)) | ~spl36_293), 26.65/26.88 inference(AVATAR_component_clause,[],[f2908])). 26.65/26.88 tff(f2911,plain,( 26.65/26.88 spl36_295 <=> ~bst1(node1(black1,sK25,sK26,sK27,sK28))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_295])])). 26.65/26.88 tff(f2912,plain,( 26.65/26.88 ~bst1(node1(black1,sK25,sK26,sK27,sK28)) | ~spl36_295), 26.65/26.88 inference(AVATAR_component_clause,[],[f2911])). 26.65/26.88 tff(f2915,plain,( 26.65/26.88 spl36_297 <=> ~lt_tree1(sK6,node1(black1,sK15,sK16,sK17,sK18))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_297])])). 26.65/26.88 tff(f2916,plain,( 26.65/26.88 ~lt_tree1(sK6,node1(black1,sK15,sK16,sK17,sK18)) | ~spl36_297), 26.65/26.88 inference(AVATAR_component_clause,[],[f2915])). 26.65/26.88 tff(f2918,plain,( 26.65/26.88 spl36_299 <=> ~bst1(node1(black1,sK15,sK16,sK17,sK18))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_299])])). 26.65/26.88 tff(f2919,plain,( 26.65/26.88 ~bst1(node1(black1,sK15,sK16,sK17,sK18)) | ~spl36_299), 26.65/26.88 inference(AVATAR_component_clause,[],[f2918])). 26.65/26.88 tff(f2927,plain,( 26.65/26.88 $false | ~spl36_201), 26.65/26.88 inference(resolution,[],[f2395,f951])). 26.65/26.88 tff(f2930,plain,( 26.65/26.88 spl36_201), 26.65/26.88 inference(AVATAR_contradiction_clause,[],[f2927,f2394])). 26.65/26.88 tff(f2933,plain,( 26.65/26.88 ~bst1(sK25) | ~bst1(sK28) | ~lt_tree1(sK26,sK25) | ~gt_tree1(sK26,sK28) | ~spl36_295), 26.65/26.88 inference(resolution,[],[f2912,f946])). 26.65/26.88 tff(f2935,plain,( 26.65/26.88 ~spl36_97 | ~spl36_99 | ~spl36_101 | ~spl36_103 | spl36_295), 26.65/26.88 inference(AVATAR_split_clause,[],[f2933,f2911,f2045,f2042,f2039,f2036])). 26.65/26.88 tff(f2936,plain,( 26.65/26.88 $false | (~spl36_168 | ~spl36_299)), 26.65/26.88 inference(resolution,[],[f2919,f2275])). 26.65/26.88 tff(f2939,plain,( 26.65/26.88 ~spl36_168 | spl36_299), 26.65/26.88 inference(AVATAR_contradiction_clause,[],[f2936,f2918,f2274])). 26.65/26.88 tff(f2964,plain,( 26.65/26.88 spl36_305 <=> ~lt_tree1(sK6,sK20)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_305])])). 26.65/26.88 tff(f2967,plain,( 26.65/26.88 spl36_261 <=> ~$less(sK16,sK6)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_261])])). 26.65/26.88 tff(f2970,plain,( 26.65/26.88 spl36_307 <=> ~lt_tree1(sK6,sK23)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_307])])). 26.65/26.88 tff(f2973,plain,( 26.65/26.88 ~lt_tree1(sK6,sK18) | ~$less(sK16,sK6) | ~lt_tree1(sK6,sK15) | ~spl36_297), 26.65/26.88 inference(resolution,[],[f2916,f1017])). 26.65/26.88 tff(f2976,plain,( 26.65/26.88 spl36_265 <=> ~lt_tree1(sK6,sK15)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_265])])). 26.65/26.88 tff(f2979,plain,( 26.65/26.88 spl36_269 <=> ~lt_tree1(sK6,sK18)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_269])])). 26.65/26.88 tff(f2981,plain,( 26.65/26.88 ~spl36_265 | ~spl36_261 | ~spl36_269 | spl36_297), 26.65/26.88 inference(AVATAR_split_clause,[],[f2973,f2915,f2979,f2967,f2976])). 26.65/26.88 tff(f2995,plain,( 26.65/26.88 spl36_316 <=> node1(red1,sK10,sK11,sK12,sK13) = sK8), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_316])])). 26.65/26.88 tff(f2996,plain,( 26.65/26.88 node1(red1,sK10,sK11,sK12,sK13) = sK8 | ~spl36_316), 26.65/26.88 inference(AVATAR_component_clause,[],[f2995])). 26.65/26.88 tff(f3018,plain,( 26.65/26.88 ~spl36_33 | ~spl36_46), 26.65/26.88 inference(AVATAR_split_clause,[],[f2197,f1830,f1948])). 26.65/26.88 tff(f3019,plain,( 26.65/26.88 ~bst1(node1(red1,node1(black1,leaf1,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3))) | (~spl36_32 | ~spl36_37)), 26.65/26.88 inference(backward_demodulation,[],[f1135,f1143])). 26.65/26.88 tff(f3134,plain,( 26.65/26.88 spl36_331 <=> ~bst1(node1(red1,node1(black1,leaf1,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3)))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_331])])). 26.65/26.88 tff(f3135,plain,( 26.65/26.88 ~bst1(node1(red1,node1(black1,leaf1,sK6,sK7,sK10),sK11,sK12,node1(black1,sK13,sK1,sK2,sK3))) | ~spl36_331), 26.65/26.88 inference(AVATAR_component_clause,[],[f3134])). 26.65/26.88 tff(f3136,plain,( 26.65/26.88 ~spl36_331 | ~spl36_32 | spl36_37), 26.65/26.88 inference(AVATAR_split_clause,[],[f3019,f1142,f1134,f3134])). 26.65/26.88 tff(f3184,plain,( 26.65/26.88 node1(red1,sK10,sK11,sK12,sK13) = sK8 | (~spl36_10 | ~spl36_22)), 26.65/26.88 inference(forward_demodulation,[],[f1077,f1100])). 26.65/26.88 tff(f3185,plain,( 26.65/26.88 spl36_316 | ~spl36_10 | ~spl36_22), 26.65/26.88 inference(AVATAR_split_clause,[],[f3184,f1099,f1076,f2995])). 26.65/26.88 tff(f3219,plain,( 26.65/26.88 spl36_102 <=> bst1(sK25)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_102])])). 26.65/26.88 tff(f3223,plain,( 26.65/26.88 spl36_100 <=> bst1(sK28)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_100])])). 26.65/26.88 tff(f3245,plain,( 26.65/26.88 spl36_96 <=> gt_tree1(sK26,sK28)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_96])])). 26.65/26.88 tff(f3247,plain,( 26.65/26.88 spl36_96 | ~spl36_71 | ~spl36_30), 26.65/26.88 inference(AVATAR_split_clause,[],[f2002,f1131,f1932,f3245])). 26.65/26.88 tff(f3249,plain,( 26.65/26.88 spl36_98 <=> lt_tree1(sK26,sK25)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_98])])). 26.65/26.88 tff(f3251,plain,( 26.65/26.88 spl36_98 | ~spl36_71 | ~spl36_30), 26.65/26.88 inference(AVATAR_split_clause,[],[f2001,f1131,f1932,f3249])). 26.65/26.88 tff(f3253,plain,( 26.65/26.88 spl36_102 | ~spl36_71 | ~spl36_30), 26.65/26.88 inference(AVATAR_split_clause,[],[f1999,f1131,f1932,f3219])). 26.65/26.88 tff(f3425,plain,( 26.65/26.88 ~bst1(sK0) | bst1(sK5) | ~spl36_52), 26.65/26.88 inference(superposition,[],[f947,f1849])). 26.65/26.88 tff(f3428,plain,( 26.65/26.88 ~bst1(sK0) | gt_tree1(sK6,sK8) | ~spl36_52), 26.65/26.88 inference(superposition,[],[f950,f1849])). 26.65/26.88 tff(f3439,plain,( 26.65/26.88 ~bst1(sK0) | bst1(sK8) | ~spl36_52), 26.65/26.88 inference(superposition,[],[f1011,f1849])). 26.65/26.88 tff(f3447,plain,( 26.65/26.88 ( ! [X22:$int] : (~lt_tree1(X22,sK0) | $less(sK6,X22)) ) | ~spl36_52), 26.65/26.88 inference(superposition,[],[f1020,f1849])). 26.65/26.88 tff(f3449,plain,( 26.65/26.88 ( ! [X24:$int] : (~lt_tree1(X24,sK0) | lt_tree1(X24,sK8)) ) | ~spl36_52), 26.65/26.88 inference(superposition,[],[f1022,f1849])). 26.65/26.88 tff(f3458,plain,( 26.65/26.88 spl36_366 <=> bst1(sK8)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_366])])). 26.65/26.88 tff(f3462,plain,( 26.65/26.88 spl36_368 <=> gt_tree1(sK6,sK8)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_368])])). 26.65/26.88 tff(f3463,plain,( 26.65/26.88 gt_tree1(sK6,sK8) | ~spl36_368), 26.65/26.88 inference(AVATAR_component_clause,[],[f3462])). 26.65/26.88 tff(f3464,plain,( 26.65/26.88 spl36_368 | ~spl36_3 | ~spl36_52), 26.65/26.88 inference(AVATAR_split_clause,[],[f3428,f1848,f2131,f3462])). 26.65/26.88 tff(f3467,plain,( 26.65/26.88 spl36_366 | ~spl36_3 | ~spl36_52), 26.65/26.88 inference(AVATAR_split_clause,[],[f3439,f1848,f2131,f3458])). 26.65/26.88 tff(f3663,plain,( 26.65/26.88 spl36_401 <=> ~lt_tree1(sK6,leaf1)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_401])])). 26.65/26.88 tff(f3664,plain,( 26.65/26.88 ~lt_tree1(sK6,leaf1) | ~spl36_401), 26.65/26.88 inference(AVATAR_component_clause,[],[f3663])). 26.65/26.88 tff(f3696,plain,( 26.65/26.88 ~bst1(sK0) | lt_tree1(sK6,sK5) | ~spl36_52), 26.65/26.88 inference(superposition,[],[f949,f1849])). 26.65/26.88 tff(f3726,plain,( 26.65/26.88 ~bst1(node1(black1,sK15,sK16,sK17,sK18)) | ~bst1(node1(black1,sK8,sK1,sK2,sK3)) | ~lt_tree1(sK6,node1(black1,sK15,sK16,sK17,sK18)) | ~gt_tree1(sK6,node1(black1,sK8,sK1,sK2,sK3)) | ~spl36_15), 26.65/26.88 inference(resolution,[],[f1084,f946])). 26.65/26.88 tff(f3729,plain,( 26.65/26.88 spl36_403 <=> ~gt_tree1(sK6,node1(black1,sK8,sK1,sK2,sK3))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_403])])). 26.65/26.88 tff(f3730,plain,( 26.65/26.88 ~gt_tree1(sK6,node1(black1,sK8,sK1,sK2,sK3)) | ~spl36_403), 26.65/26.88 inference(AVATAR_component_clause,[],[f3729])). 26.65/26.88 tff(f3732,plain,( 26.65/26.88 spl36_405 <=> ~bst1(node1(black1,sK8,sK1,sK2,sK3))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_405])])). 26.65/26.88 tff(f3733,plain,( 26.65/26.88 ~bst1(node1(black1,sK8,sK1,sK2,sK3)) | ~spl36_405), 26.65/26.88 inference(AVATAR_component_clause,[],[f3732])). 26.65/26.88 tff(f3734,plain,( 26.65/26.88 ~spl36_403 | ~spl36_297 | ~spl36_405 | ~spl36_299 | spl36_15), 26.65/26.88 inference(AVATAR_split_clause,[],[f3726,f1083,f2918,f3732,f2915,f3729])). 26.65/26.88 tff(f3735,plain,( 26.65/26.88 ~bst1(node1(black1,sK5,sK6,sK7,sK10)) | ~bst1(node1(black1,sK13,sK1,sK2,sK3)) | ~lt_tree1(sK11,node1(black1,sK5,sK6,sK7,sK10)) | ~gt_tree1(sK11,node1(black1,sK13,sK1,sK2,sK3)) | ~spl36_37), 26.65/26.88 inference(resolution,[],[f1143,f946])). 26.65/26.88 tff(f3821,plain,( 26.65/26.88 $less(sK6,sK1) | (~spl36_6 | ~spl36_52)), 26.65/26.88 inference(resolution,[],[f3447,f1069])). 26.65/26.88 tff(f3823,plain,( 26.65/26.88 lt_tree1(sK1,sK8) | (~spl36_6 | ~spl36_52)), 26.65/26.88 inference(resolution,[],[f3449,f1069])). 26.65/26.88 tff(f3825,plain,( 26.65/26.88 spl36_410 <=> lt_tree1(sK1,sK8)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_410])])). 26.65/26.88 tff(f3826,plain,( 26.65/26.88 lt_tree1(sK1,sK8) | ~spl36_410), 26.65/26.88 inference(AVATAR_component_clause,[],[f3825])). 26.65/26.88 tff(f3827,plain,( 26.65/26.88 spl36_410 | ~spl36_6 | ~spl36_52), 26.65/26.88 inference(AVATAR_split_clause,[],[f3823,f1848,f1068,f3825])). 26.65/26.88 tff(f3854,plain,( 26.65/26.88 ~gt_tree1(sK6,sK3) | ~$less(sK6,sK1) | ~gt_tree1(sK6,sK8) | ~spl36_403), 26.65/26.88 inference(resolution,[],[f3730,f1016])). 26.65/26.88 tff(f3857,plain,( 26.65/26.88 spl36_369 <=> ~gt_tree1(sK6,sK8)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_369])])). 26.65/26.88 tff(f3860,plain,( 26.65/26.88 ~bst1(sK8) | ~bst1(sK3) | ~lt_tree1(sK1,sK8) | ~gt_tree1(sK1,sK3) | ~spl36_405), 26.65/26.88 inference(resolution,[],[f3733,f946])). 26.65/26.88 tff(f3863,plain,( 26.65/26.88 spl36_411 <=> ~lt_tree1(sK1,sK8)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_411])])). 26.65/26.88 tff(f3866,plain,( 26.65/26.88 spl36_367 <=> ~bst1(sK8)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_367])])). 26.65/26.88 tff(f3868,plain,( 26.65/26.88 ~spl36_1 | ~spl36_411 | ~spl36_5 | ~spl36_367 | spl36_405), 26.65/26.88 inference(AVATAR_split_clause,[],[f3860,f3732,f3866,f2843,f3863,f2837])). 26.65/26.88 tff(f4003,plain,( 26.65/26.88 ~bst1(node1(black1,sK20,sK21,sK22,sK23)) | ~bst1(node1(black1,sK8,sK1,sK2,sK3)) | ~lt_tree1(sK6,node1(black1,sK20,sK21,sK22,sK23)) | ~gt_tree1(sK6,node1(black1,sK8,sK1,sK2,sK3)) | ~spl36_25), 26.65/26.88 inference(resolution,[],[f1103,f946])). 26.65/26.88 tff(f4006,plain,( 26.65/26.88 spl36_437 <=> ~lt_tree1(sK6,node1(black1,sK20,sK21,sK22,sK23))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_437])])). 26.65/26.88 tff(f4007,plain,( 26.65/26.88 ~lt_tree1(sK6,node1(black1,sK20,sK21,sK22,sK23)) | ~spl36_437), 26.65/26.88 inference(AVATAR_component_clause,[],[f4006])). 26.65/26.88 tff(f4009,plain,( 26.65/26.88 spl36_439 <=> ~bst1(node1(black1,sK20,sK21,sK22,sK23))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_439])])). 26.65/26.88 tff(f4010,plain,( 26.65/26.88 ~bst1(node1(black1,sK20,sK21,sK22,sK23)) | ~spl36_439), 26.65/26.88 inference(AVATAR_component_clause,[],[f4009])). 26.65/26.88 tff(f4011,plain,( 26.65/26.88 ~spl36_403 | ~spl36_437 | ~spl36_405 | ~spl36_439 | spl36_25), 26.65/26.88 inference(AVATAR_split_clause,[],[f4003,f1102,f4009,f3732,f4006,f3729])). 26.65/26.88 tff(f4014,plain,( 26.65/26.88 ~bst1(node1(black1,leaf1,sK6,sK7,sK10)) | ~bst1(node1(black1,sK13,sK1,sK2,sK3)) | ~lt_tree1(sK11,node1(black1,leaf1,sK6,sK7,sK10)) | ~gt_tree1(sK11,node1(black1,sK13,sK1,sK2,sK3)) | ~spl36_331), 26.65/26.88 inference(resolution,[],[f3135,f946])). 26.65/26.88 tff(f4102,plain,( 26.65/26.88 spl36_453 <=> ~lt_tree1(sK6,sK25)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_453])])). 26.65/26.88 tff(f4105,plain,( 26.65/26.88 spl36_455 <=> ~$less(sK21,sK6)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_455])])). 26.65/26.88 tff(f4247,plain,( 26.65/26.88 ~bst1(sK8) | bst1(sK13) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f948,f2996])). 26.65/26.88 tff(f4248,plain,( 26.65/26.88 ~bst1(sK8) | lt_tree1(sK11,sK10) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f949,f2996])). 26.65/26.88 tff(f4249,plain,( 26.65/26.88 ~bst1(sK8) | gt_tree1(sK11,sK13) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f950,f2996])). 26.65/26.88 tff(f4261,plain,( 26.65/26.88 ~bst1(sK8) | bst1(sK10) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f1012,f2996])). 26.65/26.88 tff(f4267,plain,( 26.65/26.88 ( ! [X21:$int] : (~gt_tree1(X21,sK8) | $less(X21,sK11)) ) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f1019,f2996])). 26.65/26.88 tff(f4268,plain,( 26.65/26.88 ( ! [X22:$int] : (~lt_tree1(X22,sK8) | $less(sK11,X22)) ) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f1020,f2996])). 26.65/26.88 tff(f4270,plain,( 26.65/26.88 ( ! [X24:$int] : (~lt_tree1(X24,sK8) | lt_tree1(X24,sK13)) ) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f1022,f2996])). 26.65/26.88 tff(f4272,plain,( 26.65/26.88 ( ! [X26:$int] : (~gt_tree1(X26,sK8) | gt_tree1(X26,sK10)) ) | ~spl36_316), 26.65/26.88 inference(superposition,[],[f1024,f2996])). 26.65/26.88 tff(f4301,plain,( 26.65/26.88 spl36_204 | ~spl36_367 | ~spl36_316), 26.65/26.88 inference(AVATAR_split_clause,[],[f4248,f2995,f3866,f2402])). 26.65/26.88 tff(f4302,plain,( 26.65/26.88 spl36_206 | ~spl36_367 | ~spl36_316), 26.65/26.88 inference(AVATAR_split_clause,[],[f4249,f2995,f3866,f2406])). 26.65/26.88 tff(f4328,plain,( 26.65/26.88 spl36_198 | ~spl36_367 | ~spl36_316), 26.65/26.88 inference(AVATAR_split_clause,[],[f4261,f2995,f3866,f2391])). 26.65/26.88 tff(f4480,plain,( 26.65/26.88 spl36_304 <=> lt_tree1(sK6,sK20)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_304])])). 26.65/26.88 tff(f4497,plain,( 26.65/26.88 $less(sK6,sK11) | (~spl36_316 | ~spl36_368)), 26.65/26.88 inference(resolution,[],[f4267,f3463])). 26.65/26.88 tff(f4499,plain,( 26.65/26.88 spl36_498 <=> $less(sK6,sK11)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_498])])). 26.65/26.88 tff(f4500,plain,( 26.65/26.88 $less(sK6,sK11) | ~spl36_498), 26.65/26.88 inference(AVATAR_component_clause,[],[f4499])). 26.65/26.88 tff(f4501,plain,( 26.65/26.88 spl36_498 | ~spl36_316 | ~spl36_368), 26.65/26.88 inference(AVATAR_split_clause,[],[f4497,f3462,f2995,f4499])). 26.65/26.88 tff(f4502,plain,( 26.65/26.88 $less(sK11,sK1) | (~spl36_316 | ~spl36_410)), 26.65/26.88 inference(resolution,[],[f4268,f3826])). 26.65/26.88 tff(f4504,plain,( 26.65/26.88 spl36_274 <=> $less(sK11,sK1)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_274])])). 26.65/26.88 tff(f4505,plain,( 26.65/26.88 $less(sK11,sK1) | ~spl36_274), 26.65/26.88 inference(AVATAR_component_clause,[],[f4504])). 26.65/26.88 tff(f4506,plain,( 26.65/26.88 spl36_274 | ~spl36_316 | ~spl36_410), 26.65/26.88 inference(AVATAR_split_clause,[],[f4502,f3825,f2995,f4504])). 26.65/26.88 tff(f4512,plain,( 26.65/26.88 lt_tree1(sK1,sK13) | (~spl36_316 | ~spl36_410)), 26.65/26.88 inference(resolution,[],[f4270,f3826])). 26.65/26.88 tff(f4514,plain,( 26.65/26.88 spl36_502 <=> lt_tree1(sK1,sK13)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_502])])). 26.65/26.88 tff(f4516,plain,( 26.65/26.88 spl36_502 | ~spl36_316 | ~spl36_410), 26.65/26.88 inference(AVATAR_split_clause,[],[f4512,f3825,f2995,f4514])). 26.65/26.88 tff(f4518,plain,( 26.65/26.88 ( ! [X1:tree1] : (~gt_tree1(sK1,X1) | gt_tree1(sK11,X1)) ) | ~spl36_274), 26.65/26.88 inference(resolution,[],[f4505,f985])). 26.65/26.88 tff(f4524,plain,( 26.65/26.88 gt_tree1(sK6,sK10) | (~spl36_316 | ~spl36_368)), 26.65/26.88 inference(resolution,[],[f4272,f3463])). 26.65/26.88 tff(f4526,plain,( 26.65/26.88 spl36_506 <=> gt_tree1(sK6,sK10)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_506])])). 26.65/26.88 tff(f4528,plain,( 26.65/26.88 spl36_506 | ~spl36_316 | ~spl36_368), 26.65/26.88 inference(AVATAR_split_clause,[],[f4524,f3462,f2995,f4526])). 26.65/26.88 tff(f4597,plain,( 26.65/26.88 ( ! [X0:tree1] : (~lt_tree1(sK6,X0) | lt_tree1(sK11,X0)) ) | ~spl36_498), 26.65/26.88 inference(resolution,[],[f4500,f986])). 26.65/26.88 tff(f4964,plain,( 26.65/26.88 gt_tree1(sK11,sK3) | (~spl36_0 | ~spl36_274)), 26.65/26.88 inference(resolution,[],[f4518,f1057])). 26.65/26.88 tff(f4969,plain,( 26.65/26.88 spl36_276 <=> gt_tree1(sK11,sK3)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_276])])). 26.65/26.88 tff(f4971,plain,( 26.65/26.88 spl36_276 | ~spl36_0 | ~spl36_274), 26.65/26.88 inference(AVATAR_split_clause,[],[f4964,f4504,f1056,f4969])). 26.65/26.88 tff(f4973,plain,( 26.65/26.88 spl36_561 <=> ~lt_tree1(sK11,node1(black1,leaf1,sK6,sK7,sK10))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_561])])). 26.65/26.88 tff(f4974,plain,( 26.65/26.88 ~lt_tree1(sK11,node1(black1,leaf1,sK6,sK7,sK10)) | ~spl36_561), 26.65/26.88 inference(AVATAR_component_clause,[],[f4973])). 26.65/26.88 tff(f4976,plain,( 26.65/26.88 spl36_563 <=> ~bst1(node1(black1,leaf1,sK6,sK7,sK10))), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_563])])). 26.65/26.88 tff(f4977,plain,( 26.65/26.88 ~bst1(node1(black1,leaf1,sK6,sK7,sK10)) | ~spl36_563), 26.65/26.88 inference(AVATAR_component_clause,[],[f4976])). 26.65/26.88 tff(f4978,plain,( 26.65/26.88 ~spl36_233 | ~spl36_561 | ~spl36_237 | ~spl36_563 | spl36_331), 26.65/26.88 inference(AVATAR_split_clause,[],[f4014,f3134,f4976,f2471,f4973,f2465])). 26.65/26.88 tff(f4986,plain,( 26.65/26.88 ~bst1(leaf1) | ~bst1(sK10) | ~lt_tree1(sK6,leaf1) | ~gt_tree1(sK6,sK10) | ~spl36_563), 26.65/26.88 inference(resolution,[],[f4977,f946])). 26.65/26.88 tff(f4989,plain,( 26.65/26.88 spl36_507 <=> ~gt_tree1(sK6,sK10)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_507])])). 26.65/26.88 tff(f4992,plain,( 26.65/26.88 spl36_199 <=> ~bst1(sK10)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_199])])). 26.65/26.88 tff(f4995,plain,( 26.65/26.88 ~bst1(sK13) | ~bst1(sK3) | ~lt_tree1(sK1,sK13) | ~gt_tree1(sK1,sK3) | ~spl36_237), 26.65/26.88 inference(resolution,[],[f2472,f946])). 26.65/26.88 tff(f4998,plain,( 26.65/26.88 spl36_503 <=> ~lt_tree1(sK1,sK13)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_503])])). 26.65/26.88 tff(f5001,plain,( 26.65/26.88 spl36_203 <=> ~bst1(sK13)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_203])])). 26.65/26.88 tff(f5005,plain,( 26.65/26.88 ~lt_tree1(sK11,sK10) | ~$less(sK6,sK11) | ~lt_tree1(sK11,leaf1) | ~spl36_561), 26.65/26.88 inference(resolution,[],[f4974,f1017])). 26.65/26.88 tff(f5008,plain,( 26.65/26.88 spl36_565 <=> ~lt_tree1(sK11,leaf1)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_565])])). 26.65/26.88 tff(f5009,plain,( 26.65/26.88 ~lt_tree1(sK11,leaf1) | ~spl36_565), 26.65/26.88 inference(AVATAR_component_clause,[],[f5008])). 26.65/26.88 tff(f5011,plain,( 26.65/26.88 spl36_499 <=> ~$less(sK6,sK11)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_499])])). 26.65/26.88 tff(f5014,plain,( 26.65/26.88 spl36_205 <=> ~lt_tree1(sK11,sK10)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_205])])). 26.65/26.88 tff(f5016,plain,( 26.65/26.88 ~spl36_565 | ~spl36_499 | ~spl36_205 | spl36_561), 26.65/26.88 inference(AVATAR_split_clause,[],[f5005,f4973,f5014,f5011,f5008])). 26.65/26.88 tff(f5017,plain,( 26.65/26.88 $false | ~spl36_565), 26.65/26.88 inference(resolution,[],[f5009,f954])). 26.65/26.88 tff(f5018,plain,( 26.65/26.88 spl36_565), 26.65/26.88 inference(AVATAR_contradiction_clause,[],[f5017,f5008])). 26.65/26.88 tff(f5025,plain,( 26.65/26.88 ~spl36_507 | ~spl36_401 | ~spl36_199 | ~spl36_201 | spl36_563), 26.65/26.88 inference(AVATAR_split_clause,[],[f4986,f4976,f2394,f4992,f3663,f4989])). 26.65/26.88 tff(f5030,plain,( 26.65/26.88 $false | ~spl36_401), 26.65/26.88 inference(resolution,[],[f3664,f954])). 26.65/26.88 tff(f5031,plain,( 26.65/26.88 spl36_401), 26.65/26.88 inference(AVATAR_contradiction_clause,[],[f5030,f3663])). 26.65/26.88 tff(f5037,plain,( 26.65/26.88 spl36_122 | ~spl36_3 | ~spl36_52), 26.65/26.88 inference(AVATAR_split_clause,[],[f3696,f1848,f2131,f2135])). 26.65/26.88 tff(f5285,plain,( 26.65/26.88 $less(sK26,sK6) | (~spl36_30 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f2021,f2136])). 26.65/26.88 tff(f5291,plain,( 26.65/26.88 spl36_594 <=> $less(sK26,sK6)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_594])])). 26.65/26.88 tff(f5293,plain,( 26.65/26.88 spl36_594 | ~spl36_30 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f5285,f2135,f1131,f5291])). 26.65/26.88 tff(f5295,plain,( 26.65/26.88 lt_tree1(sK6,sK25) | (~spl36_30 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f2022,f2136])). 26.65/26.88 tff(f5301,plain,( 26.65/26.88 spl36_452 <=> lt_tree1(sK6,sK25)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_452])])). 26.65/26.88 tff(f5303,plain,( 26.65/26.88 spl36_452 | ~spl36_30 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f5295,f2135,f1131,f5301])). 26.65/26.88 tff(f5318,plain,( 26.65/26.88 ~bst1(sK5) | ~bst1(sK10) | ~lt_tree1(sK6,sK5) | ~gt_tree1(sK6,sK10) | ~spl36_239), 26.65/26.88 inference(resolution,[],[f2475,f946])). 26.65/26.88 tff(f5320,plain,( 26.65/26.88 ~spl36_507 | ~spl36_123 | ~spl36_199 | ~spl36_71 | spl36_239), 26.65/26.88 inference(AVATAR_split_clause,[],[f5318,f2474,f1932,f4992,f2456,f4989])). 26.65/26.88 tff(f5322,plain,( 26.65/26.88 ~spl36_233 | ~spl36_235 | ~spl36_237 | ~spl36_239 | spl36_37), 26.65/26.88 inference(AVATAR_split_clause,[],[f3735,f1142,f2474,f2471,f2468,f2465])). 26.65/26.88 tff(f5345,plain,( 26.65/26.88 ~lt_tree1(sK11,sK10) | ~$less(sK6,sK11) | ~lt_tree1(sK11,sK5) | ~spl36_235), 26.65/26.88 inference(resolution,[],[f2469,f1017])). 26.65/26.88 tff(f5348,plain,( 26.65/26.88 spl36_599 <=> ~lt_tree1(sK11,sK5)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_599])])). 26.65/26.88 tff(f5350,plain,( 26.65/26.88 ~spl36_599 | ~spl36_499 | ~spl36_205 | spl36_235), 26.65/26.88 inference(AVATAR_split_clause,[],[f5345,f2468,f5014,f5011,f5348])). 26.65/26.88 tff(f5354,plain,( 26.65/26.88 spl36_595 <=> ~$less(sK26,sK6)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_595])])). 26.65/26.88 tff(f5382,plain,( 26.65/26.88 spl36_70 | ~spl36_3 | ~spl36_52), 26.65/26.88 inference(AVATAR_split_clause,[],[f3425,f1848,f2131,f1925])). 26.65/26.88 tff(f5402,plain,( 26.65/26.88 spl36_254 | ~spl36_6 | ~spl36_52), 26.65/26.88 inference(AVATAR_split_clause,[],[f3821,f1848,f1068,f2580])). 26.65/26.88 tff(f5403,plain,( 26.65/26.88 ~spl36_369 | ~spl36_255 | ~spl36_273 | spl36_403), 26.65/26.88 inference(AVATAR_split_clause,[],[f3854,f3729,f2649,f2646,f3857])). 26.65/26.88 tff(f5442,plain,( 26.65/26.88 spl36_100 | ~spl36_71 | ~spl36_30), 26.65/26.88 inference(AVATAR_split_clause,[],[f2013,f1131,f1932,f3223])). 26.65/26.88 tff(f5530,plain,( 26.65/26.88 lt_tree1(sK6,sK28) | (~spl36_30 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f2023,f2136])). 26.65/26.88 tff(f5536,plain,( 26.65/26.88 spl36_620 <=> lt_tree1(sK6,sK28)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_620])])). 26.65/26.88 tff(f5538,plain,( 26.65/26.88 spl36_620 | ~spl36_30 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f5530,f2135,f1131,f5536])). 26.65/26.88 tff(f5557,plain,( 26.65/26.88 spl36_621 <=> ~lt_tree1(sK6,sK28)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_621])])). 26.65/26.88 tff(f6016,plain,( 26.65/26.88 spl36_598 <=> lt_tree1(sK11,sK5)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_598])])). 26.65/26.88 tff(f6315,plain,( 26.65/26.88 lt_tree1(sK11,sK5) | (~spl36_122 | ~spl36_498)), 26.65/26.88 inference(resolution,[],[f4597,f2136])). 26.65/26.88 tff(f6322,plain,( 26.65/26.88 spl36_598 | ~spl36_122 | ~spl36_498), 26.65/26.88 inference(AVATAR_split_clause,[],[f6315,f4499,f2135,f6016])). 26.65/26.88 tff(f6340,plain,( 26.65/26.88 sK21 != sK26 | sK20 != sK25 | sK22 != sK27 | sK23 != sK28 | lt_tree1(sK6,node1(black1,sK20,sK21,sK22,sK23)) | ~lt_tree1(sK6,node1(black1,sK25,sK26,sK27,sK28))), 26.65/26.88 introduced(theory_axiom,[])). 26.65/26.88 tff(f6413,plain,( 26.65/26.88 ~spl36_1 | ~spl36_503 | ~spl36_5 | ~spl36_203 | spl36_237), 26.65/26.88 inference(AVATAR_split_clause,[],[f4995,f2471,f5001,f2843,f4998,f2837])). 26.65/26.88 tff(f6548,plain,( 26.65/26.88 spl36_306 <=> lt_tree1(sK6,sK23)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_306])])). 26.65/26.88 tff(f6826,plain,( 26.65/26.88 spl36_454 <=> $less(sK21,sK6)), 26.65/26.88 introduced(AVATAR_definition,[new_symbols(naming,[spl36_454])])). 26.65/26.88 tff(f7015,plain,( 26.65/26.88 spl36_202 | ~spl36_367 | ~spl36_316), 26.65/26.88 inference(AVATAR_split_clause,[],[f4247,f2995,f3866,f2398])). 26.65/26.88 tff(f7086,plain,( 26.65/26.88 $false | (~spl36_88 | ~spl36_439)), 26.65/26.88 inference(resolution,[],[f4010,f1986])). 26.65/26.88 tff(f7089,plain,( 26.65/26.88 ~spl36_88 | spl36_439), 26.65/26.88 inference(AVATAR_contradiction_clause,[],[f7086,f4009,f1985])). 26.65/26.88 tff(f7205,plain,( 26.65/26.88 ~lt_tree1(sK6,sK23) | ~$less(sK21,sK6) | ~lt_tree1(sK6,sK20) | ~spl36_437), 26.65/26.88 inference(resolution,[],[f4007,f1017])). 26.65/26.88 tff(f7457,plain,( 26.65/26.88 ( ! [X22:$int] : (~lt_tree1(X22,sK5) | $less(sK21,X22)) ) | ~spl36_54), 26.65/26.88 inference(superposition,[],[f1020,f1852])). 26.65/26.88 tff(f7485,plain,( 26.65/26.88 lt_tree1(sK6,sK20) | (~spl36_28 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f1899,f2136])). 26.65/26.88 tff(f7486,plain,( 26.65/26.88 spl36_304 | ~spl36_28 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f7485,f2135,f1111,f4480])). 26.65/26.88 tff(f7488,plain,( 26.65/26.88 ~spl36_305 | ~spl36_455 | ~spl36_307 | spl36_437), 26.65/26.88 inference(AVATAR_split_clause,[],[f7205,f4006,f2970,f4105,f2964])). 26.65/26.88 tff(f7490,plain,( 26.65/26.88 lt_tree1(sK6,sK23) | (~spl36_28 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f1900,f2136])). 26.65/26.88 tff(f7491,plain,( 26.65/26.88 spl36_306 | ~spl36_28 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f7490,f2135,f1111,f6548])). 26.65/26.88 tff(f7551,plain,( 26.65/26.88 $less(sK21,sK6) | (~spl36_54 | ~spl36_122)), 26.65/26.88 inference(resolution,[],[f7457,f2136])). 26.65/26.88 tff(f7552,plain,( 26.65/26.88 spl36_454 | ~spl36_54 | ~spl36_122), 26.65/26.88 inference(AVATAR_split_clause,[],[f7551,f2135,f1851,f6826])). 26.65/26.88 tff(f8129,plain,( 26.65/26.88 ~bst1(node1(black1,sK25,sK26,sK27,sK28)) | ~bst1(node1(black1,sK8,sK1,sK2,sK3)) | ~lt_tree1(sK6,node1(black1,sK25,sK26,sK27,sK28)) | ~gt_tree1(sK6,node1(black1,sK8,sK1,sK2,sK3)) | ~spl36_43), 26.65/26.88 inference(resolution,[],[f1230,f946])). 26.65/26.88 tff(f8131,plain,( 26.65/26.88 ~spl36_403 | ~spl36_293 | ~spl36_405 | ~spl36_295 | spl36_43), 26.65/26.88 inference(AVATAR_split_clause,[],[f8129,f1229,f2911,f3732,f2908,f3729])). 26.65/26.88 tff(f8160,plain,( 26.65/26.88 ~lt_tree1(sK6,sK28) | ~$less(sK26,sK6) | ~lt_tree1(sK6,sK25) | ~spl36_293), 26.65/26.88 inference(resolution,[],[f2909,f1017])). 26.65/26.88 tff(f8162,plain,( 26.65/26.88 ~spl36_453 | ~spl36_595 | ~spl36_621 | spl36_293), 26.65/26.88 inference(AVATAR_split_clause,[],[f8160,f2908,f5557,f5354,f4102])). 26.65/26.88 tff(f8163,plain,( 26.65/26.88 $false), 26.65/26.88 inference(AVATAR_sat_refutation,[],[f1058,f1062,f1066,f1070,f1074,f1085,f1093,f1097,f1104,f1113,f1166,f1178,f1202,f1205,f1211,f1216,f1231,f1247,f1319,f1477,f1833,f1854,f1856,f1867,f1950,f1954,f1958,f1962,f1966,f1987,f2052,f2057,f2062,f2067,f2276,f2385,f2601,f2613,f2623,f2663,f2899,f2930,f2935,f2939,f2981,f3018,f3136,f3185,f3247,f3251,f3253,f3464,f3467,f3734,f3827,f3868,f4011,f4301,f4302,f4328,f4501,f4506,f4516,f4528,f4971,f4978,f5016,f5018,f5025,f5031,f5037,f5293,f5303,f5320,f5322,f5350,f5382,f5402,f5403,f5442,f5538,f6322,f6340,f6413,f7015,f7089,f7486,f7488,f7491,f7552,f8131,f8162])). 26.65/26.88 % SZS output end Proof for theBenchmark 26.65/26.88 % ------------------------------ 26.65/26.88 % Version: Vampire 4.1 for CASC J8 Entry 26.65/26.88 % Termination reason: Refutation 26.65/26.88 26.65/26.88 % Memory used [KB]: 6012 26.65/26.88 % Time elapsed: 0.160 s 26.65/26.88 % ------------------------------ 26.65/26.88 % ------------------------------ 26.65/26.88 % Success in time 26.636 s 26.65/26.88 EOF