0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.13/0.34 % Computer : n015.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 300 0.13/0.34 % WCLimit : 300 0.13/0.34 % DateTime : Fri Jul 5 04:26:24 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.36 This is a TFF_ problem 0.13/0.36 Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.36 % (7326)Running in auto input_syntax mode. Trying TPTP 0.22/0.43 % (7327)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi) 0.22/0.44 % (7331)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi) 0.22/0.46 % (7328)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi) 0.22/0.47 % (7329)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi) 0.22/0.47 % (7333)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi) 0.22/0.47 % (7330)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi) 0.22/0.47 % (7332)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi) 66.47/9.88 % (7329)First to succeed. 66.85/9.93 % (7329)Refutation found. Thanks to Tanya! 66.85/9.93 % SZS status Theorem for theBenchmark 66.85/9.93 % SZS output start Proof for theBenchmark 66.85/9.93 tff(type_def_5, type, uni: $tType). 66.85/9.93 tff(type_def_6, type, ty: $tType). 66.85/9.93 tff(type_def_7, type, bool: $tType). 66.85/9.93 tff(type_def_8, type, tuple0: $tType). 66.85/9.93 tff(type_def_9, type, a: $tType). 66.85/9.93 tff(type_def_10, type, tree_int: $tType). 66.85/9.93 tff(type_def_11, type, list_int: $tType). 66.85/9.93 tff(type_def_12, type, tree_a1: $tType). 66.85/9.93 tff(func_def_0, type, witness: ty > uni). 66.85/9.93 tff(func_def_1, type, int: ty). 66.85/9.93 tff(func_def_2, type, real: ty). 66.85/9.93 tff(func_def_3, type, bool1: ty). 66.85/9.93 tff(func_def_4, type, true: bool). 66.85/9.93 tff(func_def_5, type, false: bool). 66.85/9.93 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 66.85/9.93 tff(func_def_7, type, tuple01: ty). 66.85/9.93 tff(func_def_8, type, tuple02: tuple0). 66.85/9.93 tff(func_def_9, type, qtmark: ty). 66.85/9.93 tff(func_def_10, type, list: ty > ty). 66.85/9.93 tff(func_def_11, type, nil: ty > uni). 66.85/9.93 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 66.85/9.93 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 66.85/9.93 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 66.85/9.93 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 66.85/9.93 tff(func_def_16, type, infix_plpl: (ty * uni * uni) > uni). 66.85/9.93 tff(func_def_17, type, length: (ty * uni) > $int). 66.85/9.93 tff(func_def_18, type, tree: ty > ty). 66.85/9.93 tff(func_def_19, type, leaf: (ty * uni) > uni). 66.85/9.93 tff(func_def_20, type, node: (ty * uni * uni) > uni). 66.85/9.93 tff(func_def_21, type, match_tree: (ty * ty * uni * uni * uni) > uni). 66.85/9.93 tff(func_def_22, type, leaf_proj_1: (ty * uni) > uni). 66.85/9.93 tff(func_def_23, type, node_proj_1: (ty * uni) > uni). 66.85/9.93 tff(func_def_24, type, node_proj_2: (ty * uni) > uni). 66.85/9.93 tff(func_def_25, type, labels: (ty * uni) > uni). 66.85/9.93 tff(func_def_26, type, ref: ty > ty). 66.85/9.93 tff(func_def_27, type, mk_ref: (ty * uni) > uni). 66.85/9.93 tff(func_def_28, type, contents: (ty * uni) > uni). 66.85/9.93 tff(func_def_29, type, a1: ty). 66.85/9.93 tff(func_def_30, type, t2tb: tree_int > uni). 66.85/9.93 tff(func_def_31, type, tb2t: uni > tree_int). 66.85/9.93 tff(func_def_32, type, t2tb1: list_int > uni). 66.85/9.93 tff(func_def_33, type, tb2t1: uni > list_int). 66.85/9.93 tff(func_def_34, type, t2tb2: tree_a1 > uni). 66.85/9.93 tff(func_def_35, type, tb2t2: uni > tree_a1). 66.85/9.93 tff(func_def_36, type, t2tb3: $int > uni). 66.85/9.93 tff(func_def_37, type, tb2t3: uni > $int). 66.85/9.93 tff(func_def_42, type, sK0: $int). 66.85/9.93 tff(func_def_43, type, sK1: tree_a1). 66.85/9.93 tff(func_def_44, type, sK2: tree_a1). 66.85/9.93 tff(func_def_45, type, sK3: $int). 66.85/9.93 tff(func_def_46, type, sK4: tree_int). 66.85/9.93 tff(func_def_47, type, sK5: $int). 66.85/9.93 tff(func_def_48, type, sK6: tree_int). 66.85/9.93 tff(func_def_49, type, sK7: $int). 66.85/9.93 tff(func_def_50, type, sK8: (ty * uni) > uni). 66.85/9.93 tff(func_def_51, type, sK9: (ty * uni) > uni). 66.85/9.93 tff(func_def_52, type, sK10: (ty * uni) > uni). 66.85/9.93 tff(func_def_53, type, sK11: (ty * uni * uni) > uni). 66.85/9.93 tff(func_def_54, type, sK12: (ty * uni * uni) > uni). 66.85/9.93 tff(func_def_55, type, sK13: (ty * uni * uni) > uni). 66.85/9.93 tff(func_def_56, type, sK14: (ty * ty * uni * uni) > uni). 66.85/9.93 tff(func_def_57, type, sK15: (ty * ty * uni * uni) > uni). 66.85/9.93 tff(func_def_58, type, sK16: (ty * ty * uni * uni) > uni). 66.85/9.93 tff(func_def_59, type, sK17: (ty * ty * uni * uni) > uni). 66.85/9.93 tff(func_def_60, type, sK18: (ty * ty * uni * uni) > uni). 66.85/9.93 tff(func_def_61, type, sK19: (ty * ty * uni * uni) > uni). 66.85/9.93 tff(func_def_62, type, sF20: uni). 66.85/9.93 tff(func_def_63, type, sF21: uni). 66.85/9.93 tff(func_def_64, type, sF22: uni). 66.85/9.93 tff(func_def_65, type, sF23: uni). 66.85/9.93 tff(func_def_66, type, sF24: uni). 66.85/9.93 tff(func_def_67, type, sF25: uni). 66.85/9.93 tff(func_def_68, type, sF26: uni). 66.85/9.93 tff(func_def_69, type, sF27: uni). 66.85/9.93 tff(func_def_70, type, sF28: uni). 66.85/9.93 tff(func_def_71, type, sF29: uni). 66.85/9.93 tff(func_def_97, type, '$inst31': $int). 66.85/9.93 tff(func_def_98, type, '$inst32': $int). 66.85/9.93 tff(func_def_99, type, '$inst33': $int). 66.85/9.93 tff(pred_def_1, type, sort: (ty * uni) > $o). 66.85/9.93 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 66.85/9.93 tff(pred_def_3, type, distinct: (ty * uni) > $o). 66.85/9.93 tff(pred_def_4, type, same_shape: (ty * ty * uni * uni) > $o). 66.85/9.93 tff(f348058,plain,( 66.85/9.93 $false), 66.85/9.93 inference(avatar_smt_refutation,[],[f355,f360,f365,f370,f375,f383,f388,f393,f398,f403,f409,f414,f419,f425,f432,f437,f444,f449,f464,f469,f477,f482,f487,f492,f497,f509,f514,f529,f536,f543,f550,f558,f563,f573,f578,f652,f691,f917,f946,f947,f1689,f11982,f14356,f24065,f24150,f24231,f24316,f24397,f24516,f24521,f24726,f24731,f45627,f45678,f45782,f45949,f51987,f51989,f51993,f52039,f53200,f59445,f59923,f59982,f66152,f66549,f66607,f67788,f67793,f67800,f67801,f68046,f68187,f69867,f69907,f69920,f76606,f76608,f76612,f77781,f84563,f84568,f84595,f84601,f84611,f85047,f85052,f85063,f85069,f85079,f85084,f85091,f85092,f85098,f85099,f85274,f85280,f85285,f85301,f85309,f92158,f92362,f93599,f93798,f93799,f94242,f94436,f94440,f95322,f95780,f118875,f119020,f119359,f119504,f119842,f119987,f120326,f120471,f120809,f120954,f121280,f121425,f121750,f121895,f122221,f122366,f122835,f123274,f123716,f124161,f141199,f141947,f142648,f143960,f144101,f157808,f157953,f158098,f158243,f158388,f158533,f158678,f158823,f158964,f159105,f159246,f159387,f159528,f159669,f159810,f159951,f163933,f164060,f164201,f164482,f164623,f164904,f165045,f165186,f165327,f165468,f165609,f165750,f165891,f166032,f166173,f166314,f166455,f166596,f166877,f167018,f167159,f167300,f167441,f167582,f167723,f263676,f273662,f273667,f273679,f273684,f273685,f273696,f273819,f292202,f292386,f292570,f347640,f348041,f348047,f348056])). 66.85/9.93 tff(f348056,plain,( 66.85/9.93 ~spl30_3 | ~spl30_4 | spl30_43 | ~spl30_45 | spl30_148), 66.85/9.93 inference(avatar_contradiction_clause,[],[f348055])). 66.85/9.93 tff(f348055,plain,( 66.85/9.93 $false | (~spl30_3 | ~spl30_4 | spl30_43 | ~spl30_45 | spl30_148)), 66.85/9.93 inference(subsumption_resolution,[],[f348054,f1684])). 66.85/9.93 tff(f1684,plain,( 66.85/9.93 ~distinct(int,sF26) | spl30_43), 66.85/9.93 inference(avatar_component_clause,[],[f1682])). 66.85/9.93 tff(f1682,plain,( 66.85/9.93 spl30_43 <=> distinct(int,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_43])])). 66.85/9.93 tff(f348054,plain,( 66.85/9.93 distinct(int,sF26) | (~spl30_3 | ~spl30_4 | ~spl30_45 | spl30_148)), 66.85/9.93 inference(forward_demodulation,[],[f348053,f14355])). 66.85/9.93 tff(f14355,plain,( 66.85/9.93 sF26 = infix_plpl(int,sF28,sF29) | ~spl30_45), 66.85/9.93 inference(avatar_component_clause,[],[f14353])). 66.85/9.93 tff(f14353,plain,( 66.85/9.93 spl30_45 <=> sF26 = infix_plpl(int,sF28,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_45])])). 66.85/9.93 tff(f348053,plain,( 66.85/9.93 distinct(int,infix_plpl(int,sF28,sF29)) | (~spl30_3 | ~spl30_4 | spl30_148)), 66.85/9.93 inference(subsumption_resolution,[],[f348052,f364])). 66.85/9.93 tff(f364,plain,( 66.85/9.93 distinct(int,sF28) | ~spl30_3), 66.85/9.93 inference(avatar_component_clause,[],[f362])). 66.85/9.93 tff(f362,plain,( 66.85/9.93 spl30_3 <=> distinct(int,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_3])])). 66.85/9.93 tff(f348052,plain,( 66.85/9.93 distinct(int,infix_plpl(int,sF28,sF29)) | ~distinct(int,sF28) | (~spl30_4 | spl30_148)), 66.85/9.93 inference(subsumption_resolution,[],[f348049,f369])). 66.85/9.93 tff(f369,plain,( 66.85/9.93 distinct(int,sF29) | ~spl30_4), 66.85/9.93 inference(avatar_component_clause,[],[f367])). 66.85/9.93 tff(f367,plain,( 66.85/9.93 spl30_4 <=> distinct(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_4])])). 66.85/9.93 tff(f348049,plain,( 66.85/9.93 distinct(int,infix_plpl(int,sF28,sF29)) | ~distinct(int,sF29) | ~distinct(int,sF28) | spl30_148), 66.85/9.93 inference(resolution,[],[f348046,f266])). 66.85/9.93 tff(f266,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK11(X0,X1,X2),X1) | distinct(X0,infix_plpl(X0,X1,X2)) | ~distinct(X0,X2) | ~distinct(X0,X1)) )), 66.85/9.93 inference(cnf_transformation,[],[f176])). 66.85/9.93 tff(f176,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | (mem(X0,sK11(X0,X1,X2),X2) & mem(X0,sK11(X0,X1,X2),X1) & sort(X0,sK11(X0,X1,X2))) | ~distinct(X0,X2) | ~distinct(X0,X1))), 66.85/9.93 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f147,f175])). 66.85/9.93 tff(f175,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni] : (mem(X0,X3,X2) & mem(X0,X3,X1) & sort(X0,X3)) => (mem(X0,sK11(X0,X1,X2),X2) & mem(X0,sK11(X0,X1,X2),X1) & sort(X0,sK11(X0,X1,X2))))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f147,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | ? [X3 : uni] : (mem(X0,X3,X2) & mem(X0,X3,X1) & sort(X0,X3)) | ~distinct(X0,X2) | ~distinct(X0,X1))), 66.85/9.93 inference(flattening,[],[f146])). 66.85/9.93 tff(f146,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (((distinct(X0,infix_plpl(X0,X1,X2)) | ? [X3 : uni] : ((mem(X0,X3,X2) & mem(X0,X3,X1)) & sort(X0,X3))) | ~distinct(X0,X2)) | ~distinct(X0,X1))), 66.85/9.93 inference(ennf_transformation,[],[f116])). 66.85/9.93 tff(f116,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,X1) => (distinct(X0,X2) => (! [X3 : uni] : (sort(X0,X3) => (mem(X0,X3,X1) => ~mem(X0,X3,X2))) => distinct(X0,infix_plpl(X0,X1,X2)))))), 66.85/9.93 inference(rectify,[],[f45])). 66.85/9.93 tff(f45,axiom,( 66.85/9.93 ! [X0 : ty,X13 : uni,X15 : uni] : (distinct(X0,X13) => (distinct(X0,X15) => (! [X6 : uni] : (sort(X0,X6) => (mem(X0,X6,X13) => ~mem(X0,X6,X15))) => distinct(X0,infix_plpl(X0,X13,X15)))))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_append)). 66.85/9.93 tff(f348046,plain,( 66.85/9.93 ~mem(int,sK11(int,sF28,sF29),sF28) | spl30_148), 66.85/9.93 inference(avatar_component_clause,[],[f348044])). 66.85/9.93 tff(f348044,plain,( 66.85/9.93 spl30_148 <=> mem(int,sK11(int,sF28,sF29),sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_148])])). 66.85/9.93 tff(f348047,plain,( 66.85/9.93 ~spl30_148 | spl30_147), 66.85/9.93 inference(avatar_split_clause,[],[f348042,f348038,f348044])). 66.85/9.93 tff(f348038,plain,( 66.85/9.93 spl30_147 <=> $less(sK3,tb2t3(sK11(int,sF28,sF29)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_147])])). 66.85/9.93 tff(f348042,plain,( 66.85/9.93 ~mem(int,sK11(int,sF28,sF29),sF28) | spl30_147), 66.85/9.93 inference(resolution,[],[f348040,f531])). 66.85/9.93 tff(f531,plain,( 66.85/9.93 ( ! [X0 : uni] : ($less(sK3,tb2t3(X0)) | ~mem(int,X0,sF28)) )), 66.85/9.93 inference(superposition,[],[f343,f209])). 66.85/9.93 tff(f209,plain,( 66.85/9.93 ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )), 66.85/9.93 inference(cnf_transformation,[],[f85])). 66.85/9.93 tff(f85,plain,( 66.85/9.93 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 66.85/9.93 inference(rectify,[],[f38])). 66.85/9.93 tff(f38,axiom,( 66.85/9.93 ! [X23 : uni] : t2tb3(tb2t3(X23)) = X23), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3)). 66.85/9.93 tff(f343,plain,( 66.85/9.93 ( ! [X8 : $int] : (~mem(int,t2tb3(X8),sF28) | $less(sK3,X8)) )), 66.85/9.93 inference(definition_folding,[],[f193,f340,f332])). 66.85/9.93 tff(f332,plain,( 66.85/9.93 t2tb(sK6) = sF23), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f340,plain,( 66.85/9.93 labels(int,sF23) = sF28), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f193,plain,( 66.85/9.93 ( ! [X8 : $int] : ($less(sK3,X8) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) )), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f168,plain,( 66.85/9.93 ((~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4))) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | $less(sK5,sK0) | ((~$less(sK0,sK7) | $less(sK5,sK7)) & mem(int,t2tb3(sK7),labels(int,node(int,t2tb(sK6),t2tb(sK4)))))) & same_shape(int,a1,t2tb2(sK1),t2tb(sK6)) & distinct(int,labels(int,t2tb(sK6))) & ! [X8 : $int] : ((~$less(sK5,X8) & $less(sK3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) & ~$less(sK5,sK3)) & same_shape(int,a1,t2tb2(sK2),t2tb(sK4)) & distinct(int,labels(int,t2tb(sK4))) & ! [X9 : $int] : ((~$less(sK3,X9) & $less(sK0,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))) & ~$less(sK3,sK0)), 66.85/9.93 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f164,f167,f166,f165])). 66.85/9.93 tff(f165,plain,( 66.85/9.93 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X5 : $int,X6 : tree_int] : ((~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4))) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4)))) | $less(X5,X0) | ? [X7 : $int] : ((~$less(X0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4)))))) & same_shape(int,a1,t2tb2(X1),t2tb(X6)) & distinct(int,labels(int,t2tb(X6))) & ! [X8 : $int] : ((~$less(X5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & ~$less(X5,X3)) & same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ! [X9 : $int] : ((~$less(X3,X9) & $less(X0,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X4)))) & ~$less(X3,X0)) => (? [X6 : tree_int,X5 : $int] : ((~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(X6),t2tb(sK4))) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(sK4)))) | $less(X5,sK0) | ? [X7 : $int] : ((~$less(sK0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(sK4)))))) & same_shape(int,a1,t2tb2(sK1),t2tb(X6)) & distinct(int,labels(int,t2tb(X6))) & ! [X8 : $int] : ((~$less(X5,X8) & $less(sK3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & ~$less(X5,sK3)) & same_shape(int,a1,t2tb2(sK2),t2tb(sK4)) & distinct(int,labels(int,t2tb(sK4))) & ! [X9 : $int] : ((~$less(sK3,X9) & $less(sK0,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))) & ~$less(sK3,sK0))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f166,plain,( 66.85/9.93 ? [X6 : tree_int,X5 : $int] : ((~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(X6),t2tb(sK4))) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(sK4)))) | $less(X5,sK0) | ? [X7 : $int] : ((~$less(sK0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(sK4)))))) & same_shape(int,a1,t2tb2(sK1),t2tb(X6)) & distinct(int,labels(int,t2tb(X6))) & ! [X8 : $int] : ((~$less(X5,X8) & $less(sK3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & ~$less(X5,sK3)) => ((~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4))) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | $less(sK5,sK0) | ? [X7 : $int] : ((~$less(sK0,X7) | $less(sK5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK6),t2tb(sK4)))))) & same_shape(int,a1,t2tb2(sK1),t2tb(sK6)) & distinct(int,labels(int,t2tb(sK6))) & ! [X8 : $int] : ((~$less(sK5,X8) & $less(sK3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) & ~$less(sK5,sK3))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f167,plain,( 66.85/9.93 ? [X7 : $int] : ((~$less(sK0,X7) | $less(sK5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK6),t2tb(sK4))))) => ((~$less(sK0,sK7) | $less(sK5,sK7)) & mem(int,t2tb3(sK7),labels(int,node(int,t2tb(sK6),t2tb(sK4)))))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f164,plain,( 66.85/9.93 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X5 : $int,X6 : tree_int] : ((~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4))) | ~distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4)))) | $less(X5,X0) | ? [X7 : $int] : ((~$less(X0,X7) | $less(X5,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4)))))) & same_shape(int,a1,t2tb2(X1),t2tb(X6)) & distinct(int,labels(int,t2tb(X6))) & ! [X8 : $int] : ((~$less(X5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & ~$less(X5,X3)) & same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ! [X9 : $int] : ((~$less(X3,X9) & $less(X0,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X4)))) & ~$less(X3,X0))), 66.85/9.93 inference(rectify,[],[f137])). 66.85/9.93 tff(f137,plain,( 66.85/9.93 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X6 : $int,X7 : tree_int] : ((~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))) | ~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) | $less(X6,X0) | ? [X9 : $int] : ((~$less(X0,X9) | $less(X6,X9)) & mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))))) & same_shape(int,a1,t2tb2(X1),t2tb(X7)) & distinct(int,labels(int,t2tb(X7))) & ! [X8 : $int] : ((~$less(X6,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7)))) & ~$less(X6,X3)) & same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ! [X5 : $int] : ((~$less(X3,X5) & $less(X0,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4)))) & ~$less(X3,X0))), 66.85/9.93 inference(flattening,[],[f136])). 66.85/9.93 tff(f136,plain,( 66.85/9.93 ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X6 : $int,X7 : tree_int] : ((~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))) | ~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) | $less(X6,X0) | ? [X9 : $int] : ((~$less(X0,X9) | $less(X6,X9)) & mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))))) & (same_shape(int,a1,t2tb2(X1),t2tb(X7)) & distinct(int,labels(int,t2tb(X7))) & ! [X8 : $int] : ((~$less(X6,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7)))) & ~$less(X6,X3))) & (same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ! [X5 : $int] : ((~$less(X3,X5) & $less(X0,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4)))) & ~$less(X3,X0)))), 66.85/9.93 inference(ennf_transformation,[],[f77])). 66.85/9.93 tff(f77,plain,( 66.85/9.93 ~! [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : ((same_shape(int,a1,t2tb2(X2),t2tb(X4)) & distinct(int,labels(int,t2tb(X4))) & ! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X4))) => (~$less(X3,X5) & $less(X0,X5))) & ~$less(X3,X0)) => ! [X6 : $int,X7 : tree_int] : ((same_shape(int,a1,t2tb2(X1),t2tb(X7)) & distinct(int,labels(int,t2tb(X7))) & ! [X8 : $int] : (mem(int,t2tb3(X8),labels(int,t2tb(X7))) => (~$less(X6,X8) & $less(X3,X8))) & ~$less(X6,X3)) => (same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))) & distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) & ~$less(X6,X0) & ! [X9 : $int] : (mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) => ($less(X0,X9) & ~$less(X6,X9))))))), 66.85/9.93 inference(rectify,[],[f74])). 66.85/9.93 tff(f74,plain,( 66.85/9.93 ~! [X20 : $int,X6 : tree_a1,X7 : tree_a1,X14 : $int,X21 : tree_int] : ((same_shape(int,a1,t2tb2(X7),t2tb(X21)) & distinct(int,labels(int,t2tb(X21))) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,t2tb(X21))) => (~$less(X14,X12) & $less(X20,X12))) & ~$less(X14,X20)) => ! [X16 : $int,X22 : tree_int] : ((same_shape(int,a1,t2tb2(X6),t2tb(X22)) & distinct(int,labels(int,t2tb(X22))) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,t2tb(X22))) => (~$less(X16,X12) & $less(X14,X12))) & ~$less(X16,X14)) => (same_shape(int,a1,node(a1,t2tb2(X6),t2tb2(X7)),node(int,t2tb(X22),t2tb(X21))) & distinct(int,labels(int,node(int,t2tb(X22),t2tb(X21)))) & ~$less(X16,X20) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,node(int,t2tb(X22),t2tb(X21)))) => ($less(X20,X12) & ~$less(X16,X12))))))), 66.85/9.93 inference(theory_normalization,[],[f28])). 66.85/9.93 tff(f28,negated_conjecture,( 66.85/9.93 ~! [X20 : $int,X6 : tree_a1,X7 : tree_a1,X14 : $int,X21 : tree_int] : ((same_shape(int,a1,t2tb2(X7),t2tb(X21)) & distinct(int,labels(int,t2tb(X21))) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,t2tb(X21))) => ($lesseq(X12,X14) & $less(X20,X12))) & $lesseq(X20,X14)) => ! [X16 : $int,X22 : tree_int] : ((same_shape(int,a1,t2tb2(X6),t2tb(X22)) & distinct(int,labels(int,t2tb(X22))) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,t2tb(X22))) => ($lesseq(X12,X16) & $less(X14,X12))) & $lesseq(X14,X16)) => (same_shape(int,a1,node(a1,t2tb2(X6),t2tb2(X7)),node(int,t2tb(X22),t2tb(X21))) & distinct(int,labels(int,node(int,t2tb(X22),t2tb(X21)))) & $lesseq(X20,X16) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,node(int,t2tb(X22),t2tb(X21)))) => ($less(X20,X12) & $lesseq(X12,X16))))))), 66.85/9.93 inference(negated_conjecture,[],[f27])). 66.85/9.93 tff(f27,conjecture,( 66.85/9.93 ! [X20 : $int,X6 : tree_a1,X7 : tree_a1,X14 : $int,X21 : tree_int] : ((same_shape(int,a1,t2tb2(X7),t2tb(X21)) & distinct(int,labels(int,t2tb(X21))) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,t2tb(X21))) => ($lesseq(X12,X14) & $less(X20,X12))) & $lesseq(X20,X14)) => ! [X16 : $int,X22 : tree_int] : ((same_shape(int,a1,t2tb2(X6),t2tb(X22)) & distinct(int,labels(int,t2tb(X22))) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,t2tb(X22))) => ($lesseq(X12,X16) & $less(X14,X12))) & $lesseq(X14,X16)) => (same_shape(int,a1,node(a1,t2tb2(X6),t2tb2(X7)),node(int,t2tb(X22),t2tb(X21))) & distinct(int,labels(int,node(int,t2tb(X22),t2tb(X21)))) & $lesseq(X20,X16) & ! [X12 : $int] : (mem(int,t2tb3(X12),labels(int,node(int,t2tb(X22),t2tb(X21)))) => ($less(X20,X12) & $lesseq(X12,X16))))))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_relabel)). 66.85/9.93 tff(f348040,plain,( 66.85/9.93 ~$less(sK3,tb2t3(sK11(int,sF28,sF29))) | spl30_147), 66.85/9.93 inference(avatar_component_clause,[],[f348038])). 66.85/9.93 tff(f348041,plain,( 66.85/9.93 ~spl30_147 | ~spl30_3 | ~spl30_4 | spl30_43 | ~spl30_45), 66.85/9.93 inference(avatar_split_clause,[],[f348035,f14353,f1682,f367,f362,f348038])). 66.85/9.93 tff(f348035,plain,( 66.85/9.93 ~$less(sK3,tb2t3(sK11(int,sF28,sF29))) | (~spl30_3 | ~spl30_4 | spl30_43 | ~spl30_45)), 66.85/9.93 inference(subsumption_resolution,[],[f348034,f364])). 66.85/9.93 tff(f348034,plain,( 66.85/9.93 ~distinct(int,sF28) | ~$less(sK3,tb2t3(sK11(int,sF28,sF29))) | (~spl30_4 | spl30_43 | ~spl30_45)), 66.85/9.93 inference(subsumption_resolution,[],[f348028,f1684])). 66.85/9.93 tff(f348028,plain,( 66.85/9.93 distinct(int,sF26) | ~distinct(int,sF28) | ~$less(sK3,tb2t3(sK11(int,sF28,sF29))) | (~spl30_4 | ~spl30_45)), 66.85/9.93 inference(superposition,[],[f2760,f14355])). 66.85/9.93 tff(f2760,plain,( 66.85/9.93 ( ! [X1 : uni] : (distinct(int,infix_plpl(int,X1,sF29)) | ~distinct(int,X1) | ~$less(sK3,tb2t3(sK11(int,X1,sF29)))) ) | ~spl30_4), 66.85/9.93 inference(subsumption_resolution,[],[f2753,f369])). 66.85/9.93 tff(f2753,plain,( 66.85/9.93 ( ! [X1 : uni] : (distinct(int,infix_plpl(int,X1,sF29)) | ~distinct(int,sF29) | ~distinct(int,X1) | ~$less(sK3,tb2t3(sK11(int,X1,sF29)))) )), 66.85/9.93 inference(resolution,[],[f267,f538])). 66.85/9.93 tff(f538,plain,( 66.85/9.93 ( ! [X0 : uni] : (~mem(int,X0,sF29) | ~$less(sK3,tb2t3(X0))) )), 66.85/9.93 inference(superposition,[],[f347,f209])). 66.85/9.93 tff(f347,plain,( 66.85/9.93 ( ! [X9 : $int] : (~mem(int,t2tb3(X9),sF29) | ~$less(sK3,X9)) )), 66.85/9.93 inference(definition_folding,[],[f189,f345,f333])). 66.85/9.93 tff(f333,plain,( 66.85/9.93 t2tb(sK4) = sF24), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f345,plain,( 66.85/9.93 labels(int,sF24) = sF29), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f189,plain,( 66.85/9.93 ( ! [X9 : $int] : (~$less(sK3,X9) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))) )), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f267,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK11(X0,X1,X2),X2) | distinct(X0,infix_plpl(X0,X1,X2)) | ~distinct(X0,X2) | ~distinct(X0,X1)) )), 66.85/9.93 inference(cnf_transformation,[],[f176])). 66.85/9.93 tff(f347640,plain,( 66.85/9.93 ~spl30_146 | ~spl30_3 | ~spl30_4 | spl30_43 | ~spl30_45), 66.85/9.93 inference(avatar_split_clause,[],[f347635,f14353,f1682,f367,f362,f347637])). 66.85/9.93 tff(f347637,plain,( 66.85/9.93 spl30_146 <=> $less(sK5,tb2t3(sK11(int,sF28,sF29)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_146])])). 66.85/9.93 tff(f347635,plain,( 66.85/9.93 ~$less(sK5,tb2t3(sK11(int,sF28,sF29))) | (~spl30_3 | ~spl30_4 | spl30_43 | ~spl30_45)), 66.85/9.93 inference(subsumption_resolution,[],[f347634,f369])). 66.85/9.93 tff(f347634,plain,( 66.85/9.93 ~distinct(int,sF29) | ~$less(sK5,tb2t3(sK11(int,sF28,sF29))) | (~spl30_3 | spl30_43 | ~spl30_45)), 66.85/9.93 inference(subsumption_resolution,[],[f347632,f1684])). 66.85/9.93 tff(f347632,plain,( 66.85/9.93 distinct(int,sF26) | ~distinct(int,sF29) | ~$less(sK5,tb2t3(sK11(int,sF28,sF29))) | (~spl30_3 | ~spl30_45)), 66.85/9.93 inference(superposition,[],[f2682,f14355])). 66.85/9.93 tff(f2682,plain,( 66.85/9.93 ( ! [X0 : uni] : (distinct(int,infix_plpl(int,sF28,X0)) | ~distinct(int,X0) | ~$less(sK5,tb2t3(sK11(int,sF28,X0)))) ) | ~spl30_3), 66.85/9.93 inference(subsumption_resolution,[],[f2675,f364])). 66.85/9.93 tff(f2675,plain,( 66.85/9.93 ( ! [X0 : uni] : (distinct(int,infix_plpl(int,sF28,X0)) | ~distinct(int,X0) | ~distinct(int,sF28) | ~$less(sK5,tb2t3(sK11(int,sF28,X0)))) )), 66.85/9.93 inference(resolution,[],[f266,f520])). 66.85/9.93 tff(f520,plain,( 66.85/9.93 ( ! [X0 : uni] : (~mem(int,X0,sF28) | ~$less(sK5,tb2t3(X0))) )), 66.85/9.93 inference(superposition,[],[f342,f209])). 66.85/9.93 tff(f342,plain,( 66.85/9.93 ( ! [X8 : $int] : (~mem(int,t2tb3(X8),sF28) | ~$less(sK5,X8)) )), 66.85/9.93 inference(definition_folding,[],[f194,f340,f332])). 66.85/9.93 tff(f194,plain,( 66.85/9.93 ( ! [X8 : $int] : (~$less(sK5,X8) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) )), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f292570,plain,( 66.85/9.93 ~spl30_143 | ~spl30_144 | spl30_145 | ~spl30_27), 66.85/9.93 inference(avatar_split_clause,[],[f24906,f511,f292567,f292563,f292559])). 66.85/9.93 tff(f292559,plain,( 66.85/9.93 spl30_143 <=> same_shape(int,int,sF23,sF23)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_143])])). 66.85/9.93 tff(f292563,plain,( 66.85/9.93 spl30_144 <=> same_shape(int,int,sF24,sF24)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_144])])). 66.85/9.93 tff(f292567,plain,( 66.85/9.93 spl30_145 <=> same_shape(int,int,sF25,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_145])])). 66.85/9.93 tff(f511,plain,( 66.85/9.93 spl30_27 <=> node(int,sF23,sF24) = sF25), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_27])])). 66.85/9.93 tff(f24906,plain,( 66.85/9.93 same_shape(int,int,sF25,sF25) | ~same_shape(int,int,sF24,sF24) | ~same_shape(int,int,sF23,sF23) | ~spl30_27), 66.85/9.93 inference(superposition,[],[f3706,f513])). 66.85/9.93 tff(f513,plain,( 66.85/9.93 node(int,sF23,sF24) = sF25 | ~spl30_27), 66.85/9.93 inference(avatar_component_clause,[],[f511])). 66.85/9.93 tff(f3706,plain,( 66.85/9.93 ( ! [X3 : ty,X4 : uni,X5 : uni] : (same_shape(X3,int,sF25,node(X3,X4,X5)) | ~same_shape(X3,int,sF24,X5) | ~same_shape(X3,int,sF23,X4)) ) | ~spl30_27), 66.85/9.93 inference(superposition,[],[f325,f513])). 66.85/9.93 tff(f325,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5) | ~same_shape(X1,X0,X2,X4)) )), 66.85/9.93 inference(cnf_transformation,[],[f163])). 66.85/9.93 tff(f163,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5) | ~same_shape(X1,X0,X2,X4))), 66.85/9.93 inference(flattening,[],[f162])). 66.85/9.93 tff(f162,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5)) | ~same_shape(X1,X0,X2,X4))), 66.85/9.93 inference(ennf_transformation,[],[f135])). 66.85/9.93 tff(f135,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (same_shape(X1,X0,X2,X4) => (same_shape(X1,X0,X3,X5) => same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5))))), 66.85/9.93 inference(rectify,[],[f58])). 66.85/9.93 tff(f58,axiom,( 66.85/9.93 ! [X0 : ty,X11 : ty,X13 : uni,X14 : uni,X15 : uni,X16 : uni] : (same_shape(X11,X0,X13,X15) => (same_shape(X11,X0,X14,X16) => same_shape(X11,X0,node(X0,X13,X14),node(X11,X15,X16))))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_shape_Node)). 66.85/9.93 tff(f292386,plain,( 66.85/9.93 ~spl30_140 | ~spl30_141 | spl30_142 | ~spl30_26 | ~spl30_27), 66.85/9.93 inference(avatar_split_clause,[],[f24905,f511,f506,f292383,f292379,f292375])). 66.85/9.93 tff(f292375,plain,( 66.85/9.93 spl30_140 <=> same_shape(a1,int,sF23,sF20)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_140])])). 66.85/9.93 tff(f292379,plain,( 66.85/9.93 spl30_141 <=> same_shape(a1,int,sF24,sF21)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_141])])). 66.85/9.93 tff(f292383,plain,( 66.85/9.93 spl30_142 <=> same_shape(a1,int,sF25,sF22)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_142])])). 66.85/9.93 tff(f506,plain,( 66.85/9.93 spl30_26 <=> node(a1,sF20,sF21) = sF22), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_26])])). 66.85/9.93 tff(f24905,plain,( 66.85/9.93 same_shape(a1,int,sF25,sF22) | ~same_shape(a1,int,sF24,sF21) | ~same_shape(a1,int,sF23,sF20) | (~spl30_26 | ~spl30_27)), 66.85/9.93 inference(superposition,[],[f3706,f508])). 66.85/9.93 tff(f508,plain,( 66.85/9.93 node(a1,sF20,sF21) = sF22 | ~spl30_26), 66.85/9.93 inference(avatar_component_clause,[],[f506])). 66.85/9.93 tff(f292202,plain,( 66.85/9.93 ~spl30_137 | ~spl30_138 | spl30_139 | ~spl30_26), 66.85/9.93 inference(avatar_split_clause,[],[f24056,f506,f292199,f292195,f292191])). 66.85/9.93 tff(f292191,plain,( 66.85/9.93 spl30_137 <=> same_shape(a1,a1,sF20,sF20)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_137])])). 66.85/9.93 tff(f292195,plain,( 66.85/9.93 spl30_138 <=> same_shape(a1,a1,sF21,sF21)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_138])])). 66.85/9.93 tff(f292199,plain,( 66.85/9.93 spl30_139 <=> same_shape(a1,a1,sF22,sF22)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_139])])). 66.85/9.93 tff(f24056,plain,( 66.85/9.93 same_shape(a1,a1,sF22,sF22) | ~same_shape(a1,a1,sF21,sF21) | ~same_shape(a1,a1,sF20,sF20) | ~spl30_26), 66.85/9.93 inference(superposition,[],[f3705,f508])). 66.85/9.93 tff(f3705,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (same_shape(X0,a1,sF22,node(X0,X1,X2)) | ~same_shape(X0,a1,sF21,X2) | ~same_shape(X0,a1,sF20,X1)) ) | ~spl30_26), 66.85/9.93 inference(superposition,[],[f325,f508])). 66.85/9.93 tff(f273819,plain,( 66.85/9.93 spl30_136 | ~spl30_45 | spl30_54 | ~spl30_69), 66.85/9.93 inference(avatar_split_clause,[],[f273654,f68043,f45624,f14353,f273816])). 66.85/9.93 tff(f273816,plain,( 66.85/9.93 spl30_136 <=> sF28 = cons(int,cons_proj_1(int,sF26),cons_proj_2(int,sF28))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_136])])). 66.85/9.93 tff(f45624,plain,( 66.85/9.93 spl30_54 <=> sF28 = nil(int)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_54])])). 66.85/9.93 tff(f68043,plain,( 66.85/9.93 spl30_69 <=> sF28 = cons(int,cons_proj_1(int,sF28),cons_proj_2(int,sF28))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_69])])). 66.85/9.93 tff(f273654,plain,( 66.85/9.93 sF28 = cons(int,cons_proj_1(int,sF26),cons_proj_2(int,sF28)) | (~spl30_45 | spl30_54 | ~spl30_69)), 66.85/9.93 inference(backward_demodulation,[],[f68045,f273646])). 66.85/9.93 tff(f273646,plain,( 66.85/9.93 cons_proj_1(int,sF28) = cons_proj_1(int,sF26) | (~spl30_45 | spl30_54)), 66.85/9.93 inference(subsumption_resolution,[],[f273612,f45625])). 66.85/9.93 tff(f45625,plain,( 66.85/9.93 sF28 != nil(int) | spl30_54), 66.85/9.93 inference(avatar_component_clause,[],[f45624])). 66.85/9.93 tff(f273612,plain,( 66.85/9.93 cons_proj_1(int,sF28) = cons_proj_1(int,sF26) | sF28 = nil(int) | ~spl30_45), 66.85/9.93 inference(superposition,[],[f43510,f14355])). 66.85/9.93 tff(f43510,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons_proj_1(X0,X1) = cons_proj_1(X0,infix_plpl(X0,X1,X2)) | nil(X0) = X1) )), 66.85/9.93 inference(superposition,[],[f885,f1817])). 66.85/9.93 tff(f1817,plain,( 66.85/9.93 ( ! [X3 : ty,X4 : uni,X5 : uni] : (cons(X3,cons_proj_1(X3,X4),infix_plpl(X3,cons_proj_2(X3,X4),X5)) = infix_plpl(X3,X4,X5) | nil(X3) = X4) )), 66.85/9.93 inference(superposition,[],[f233,f235])). 66.85/9.93 tff(f235,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f15])). 66.85/9.93 tff(f15,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1)), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',list_inversion)). 66.85/9.93 tff(f233,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (infix_plpl(X0,cons(X0,X2,X3),X1) = cons(X0,X2,infix_plpl(X0,X3,X1))) )), 66.85/9.93 inference(cnf_transformation,[],[f106])). 66.85/9.93 tff(f106,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (infix_plpl(X0,nil(X0),X1) = X1 & ! [X2 : uni,X3 : uni] : infix_plpl(X0,cons(X0,X2,X3),X1) = cons(X0,X2,infix_plpl(X0,X3,X1)))), 66.85/9.93 inference(rectify,[],[f43])). 66.85/9.93 tff(f43,axiom,( 66.85/9.93 ! [X0 : ty,X15 : uni] : (infix_plpl(X0,nil(X0),X15) = X15 & ! [X6 : uni,X7 : uni] : infix_plpl(X0,cons(X0,X6,X7),X15) = cons(X0,X6,infix_plpl(X0,X7,X15)))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_plpl_def)). 66.85/9.93 tff(f885,plain,( 66.85/9.93 ( ! [X14 : uni,X15 : uni,X13 : ty] : (cons_proj_1(X13,X14) = cons_proj_1(X13,cons(X13,cons_proj_1(X13,X14),X15))) )), 66.85/9.93 inference(resolution,[],[f270,f223])). 66.85/9.93 tff(f223,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (sort(X0,cons_proj_1(X0,X1))) )), 66.85/9.93 inference(cnf_transformation,[],[f96])). 66.85/9.93 tff(f96,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : sort(X0,cons_proj_1(X0,X1))), 66.85/9.93 inference(rectify,[],[f16])). 66.85/9.93 tff(f16,axiom,( 66.85/9.93 ! [X0 : ty,X6 : uni] : sort(X0,cons_proj_1(X0,X6))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_sort)). 66.85/9.93 tff(f270,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~sort(X0,X1) | cons_proj_1(X0,cons(X0,X1,X2)) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f150])). 66.85/9.93 tff(f150,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_1(X0,cons(X0,X1,X2)) = X1 | ~sort(X0,X1))), 66.85/9.93 inference(ennf_transformation,[],[f53])). 66.85/9.93 tff(f53,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (sort(X0,X1) => cons_proj_1(X0,cons(X0,X1,X2)) = X1)), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_def)). 66.85/9.93 tff(f68045,plain,( 66.85/9.93 sF28 = cons(int,cons_proj_1(int,sF28),cons_proj_2(int,sF28)) | ~spl30_69), 66.85/9.93 inference(avatar_component_clause,[],[f68043])). 66.85/9.93 tff(f273696,plain,( 66.85/9.93 spl30_135 | ~spl30_45 | spl30_54 | ~spl30_66), 66.85/9.93 inference(avatar_split_clause,[],[f273655,f67785,f45624,f14353,f273693])). 66.85/9.93 tff(f273693,plain,( 66.85/9.93 spl30_135 <=> sK9(int,sF28) = cons_proj_1(int,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_135])])). 66.85/9.93 tff(f67785,plain,( 66.85/9.93 spl30_66 <=> sK9(int,sF28) = cons_proj_1(int,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_66])])). 66.85/9.93 tff(f273655,plain,( 66.85/9.93 sK9(int,sF28) = cons_proj_1(int,sF26) | (~spl30_45 | spl30_54 | ~spl30_66)), 66.85/9.93 inference(backward_demodulation,[],[f67787,f273646])). 66.85/9.93 tff(f67787,plain,( 66.85/9.93 sK9(int,sF28) = cons_proj_1(int,sF28) | ~spl30_66), 66.85/9.93 inference(avatar_component_clause,[],[f67785])). 66.85/9.93 tff(f273685,plain,( 66.85/9.93 ~spl30_134 | ~spl30_132), 66.85/9.93 inference(avatar_split_clause,[],[f273668,f273664,f273681])). 66.85/9.93 tff(f273681,plain,( 66.85/9.93 spl30_134 <=> $less(sK5,tb2t3(cons_proj_1(int,sF26)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_134])])). 66.85/9.93 tff(f273664,plain,( 66.85/9.93 spl30_132 <=> mem(int,cons_proj_1(int,sF26),sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_132])])). 66.85/9.93 tff(f273668,plain,( 66.85/9.93 ~$less(sK5,tb2t3(cons_proj_1(int,sF26))) | ~spl30_132), 66.85/9.93 inference(resolution,[],[f273666,f520])). 66.85/9.93 tff(f273666,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF26),sF28) | ~spl30_132), 66.85/9.93 inference(avatar_component_clause,[],[f273664])). 66.85/9.93 tff(f273684,plain,( 66.85/9.93 ~spl30_134 | ~spl30_45 | spl30_54 | spl30_68), 66.85/9.93 inference(avatar_split_clause,[],[f273656,f67797,f45624,f14353,f273681])). 66.85/9.93 tff(f67797,plain,( 66.85/9.93 spl30_68 <=> $less(sK5,tb2t3(cons_proj_1(int,sF28)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_68])])). 66.85/9.93 tff(f273656,plain,( 66.85/9.93 ~$less(sK5,tb2t3(cons_proj_1(int,sF26))) | (~spl30_45 | spl30_54 | spl30_68)), 66.85/9.93 inference(backward_demodulation,[],[f67799,f273646])). 66.85/9.93 tff(f67799,plain,( 66.85/9.93 ~$less(sK5,tb2t3(cons_proj_1(int,sF28))) | spl30_68), 66.85/9.93 inference(avatar_component_clause,[],[f67797])). 66.85/9.93 tff(f273679,plain,( 66.85/9.93 spl30_133 | ~spl30_45 | spl30_54 | ~spl30_130), 66.85/9.93 inference(avatar_split_clause,[],[f273653,f263673,f45624,f14353,f273676])). 66.85/9.93 tff(f273676,plain,( 66.85/9.93 spl30_133 <=> mem(int,cons_proj_1(int,sF26),sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_133])])). 66.85/9.93 tff(f263673,plain,( 66.85/9.93 spl30_130 <=> mem(int,cons_proj_1(int,sF28),sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_130])])). 66.85/9.93 tff(f273653,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF26),sF26) | (~spl30_45 | spl30_54 | ~spl30_130)), 66.85/9.93 inference(backward_demodulation,[],[f263675,f273646])). 66.85/9.93 tff(f263675,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF28),sF26) | ~spl30_130), 66.85/9.93 inference(avatar_component_clause,[],[f263673])). 66.85/9.93 tff(f273667,plain,( 66.85/9.93 spl30_132 | ~spl30_45 | spl30_54 | ~spl30_67), 66.85/9.93 inference(avatar_split_clause,[],[f273657,f67790,f45624,f14353,f273664])). 66.85/9.93 tff(f67790,plain,( 66.85/9.93 spl30_67 <=> mem(int,cons_proj_1(int,sF28),sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_67])])). 66.85/9.93 tff(f273657,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF26),sF28) | (~spl30_45 | spl30_54 | ~spl30_67)), 66.85/9.93 inference(backward_demodulation,[],[f67792,f273646])). 66.85/9.93 tff(f67792,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF28),sF28) | ~spl30_67), 66.85/9.93 inference(avatar_component_clause,[],[f67790])). 66.85/9.93 tff(f273662,plain,( 66.85/9.93 spl30_131 | ~spl30_45 | spl30_54), 66.85/9.93 inference(avatar_split_clause,[],[f273646,f45624,f14353,f273659])). 66.85/9.93 tff(f273659,plain,( 66.85/9.93 spl30_131 <=> cons_proj_1(int,sF28) = cons_proj_1(int,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_131])])). 66.85/9.93 tff(f263676,plain,( 66.85/9.93 spl30_130 | ~spl30_45 | spl30_54), 66.85/9.93 inference(avatar_split_clause,[],[f263671,f45624,f14353,f263673])). 66.85/9.93 tff(f263671,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF28),sF26) | (~spl30_45 | spl30_54)), 66.85/9.93 inference(subsumption_resolution,[],[f263622,f45625])). 66.85/9.93 tff(f263622,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF28),sF26) | sF28 = nil(int) | ~spl30_45), 66.85/9.93 inference(superposition,[],[f43591,f14355])). 66.85/9.93 tff(f43591,plain,( 66.85/9.93 ( ! [X36 : uni,X37 : uni,X35 : ty] : (mem(X35,cons_proj_1(X35,X36),infix_plpl(X35,X36,X37)) | nil(X35) = X36) )), 66.85/9.93 inference(subsumption_resolution,[],[f43520,f223])). 66.85/9.93 tff(f43520,plain,( 66.85/9.93 ( ! [X36 : uni,X37 : uni,X35 : ty] : (mem(X35,cons_proj_1(X35,X36),infix_plpl(X35,X36,X37)) | ~sort(X35,cons_proj_1(X35,X36)) | nil(X35) = X36) )), 66.85/9.93 inference(superposition,[],[f350,f1817])). 66.85/9.93 tff(f350,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2)) )), 66.85/9.93 inference(duplicate_literal_removal,[],[f326])). 66.85/9.93 tff(f326,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X2)) )), 66.85/9.93 inference(equality_resolution,[],[f251])). 66.85/9.93 tff(f251,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 66.85/9.93 inference(cnf_transformation,[],[f173])). 66.85/9.93 tff(f173,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & (mem(X0,X1,X3) | X1 = X2 | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 66.85/9.93 inference(flattening,[],[f172])). 66.85/9.93 tff(f172,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & ((mem(X0,X1,X3) | X1 = X2) | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 66.85/9.93 inference(nnf_transformation,[],[f142])). 66.85/9.93 tff(f142,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : ((mem(X0,X1,cons(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2)) | ~sort(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort(X0,X1))), 66.85/9.93 inference(ennf_transformation,[],[f108])). 66.85/9.93 tff(f108,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => (! [X2 : uni,X3 : uni] : (sort(X0,X2) => (mem(X0,X1,cons(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2))) & ~mem(X0,X1,nil(X0))))), 66.85/9.93 inference(rectify,[],[f63])). 66.85/9.93 tff(f63,axiom,( 66.85/9.93 ! [X0 : ty,X6 : uni] : (sort(X0,X6) => (! [X7 : uni,X12 : uni] : (sort(X0,X7) => (mem(X0,X6,cons(X0,X7,X12)) <=> (mem(X0,X6,X12) | X6 = X7))) & ~mem(X0,X6,nil(X0))))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def)). 66.85/9.93 tff(f167723,plain,( 66.85/9.93 spl30_123 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f93148,f494,f484,f158095])). 66.85/9.93 tff(f158095,plain,( 66.85/9.93 spl30_123 <=> labels(int,node(int,sF25,sF24)) = infix_plpl(int,sF26,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_123])])). 66.85/9.93 tff(f484,plain,( 66.85/9.93 spl30_23 <=> labels(int,sF25) = sF26), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_23])])). 66.85/9.93 tff(f494,plain,( 66.85/9.93 spl30_25 <=> labels(int,sF24) = sF29), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_25])])). 66.85/9.93 tff(f93148,plain,( 66.85/9.93 labels(int,node(int,sF25,sF24)) = infix_plpl(int,sF26,sF29) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1752,f486])). 66.85/9.93 tff(f486,plain,( 66.85/9.93 labels(int,sF25) = sF26 | ~spl30_23), 66.85/9.93 inference(avatar_component_clause,[],[f484])). 66.85/9.93 tff(f1752,plain,( 66.85/9.93 ( ! [X2 : uni] : (labels(int,node(int,X2,sF24)) = infix_plpl(int,labels(int,X2),sF29)) ) | ~spl30_25), 66.85/9.93 inference(superposition,[],[f217,f496])). 66.85/9.93 tff(f496,plain,( 66.85/9.93 labels(int,sF24) = sF29 | ~spl30_25), 66.85/9.93 inference(avatar_component_clause,[],[f494])). 66.85/9.93 tff(f217,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2))) )), 66.85/9.93 inference(cnf_transformation,[],[f91])). 66.85/9.93 tff(f91,plain,( 66.85/9.93 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2)) & ! [X3 : uni] : cons(X0,X3,nil(X0)) = labels(X0,leaf(X0,X3)))), 66.85/9.93 inference(rectify,[],[f35])). 66.85/9.93 tff(f35,axiom,( 66.85/9.93 ! [X0 : ty] : (! [X6 : uni,X7 : uni] : labels(X0,node(X0,X6,X7)) = infix_plpl(X0,labels(X0,X6),labels(X0,X7)) & ! [X6 : uni] : cons(X0,X6,nil(X0)) = labels(X0,leaf(X0,X6)))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',labels_def)). 66.85/9.93 tff(f167582,plain,( 66.85/9.93 spl30_128 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f93147,f494,f158820])). 66.85/9.93 tff(f158820,plain,( 66.85/9.93 spl30_128 <=> labels(int,node(int,sF24,sF24)) = infix_plpl(int,sF29,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_128])])). 66.85/9.93 tff(f93147,plain,( 66.85/9.93 labels(int,node(int,sF24,sF24)) = infix_plpl(int,sF29,sF29) | ~spl30_25), 66.85/9.93 inference(superposition,[],[f1752,f496])). 66.85/9.93 tff(f167441,plain,( 66.85/9.93 spl30_122 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f92985,f489,f484,f157950])). 66.85/9.93 tff(f157950,plain,( 66.85/9.93 spl30_122 <=> labels(int,node(int,sF25,sF23)) = infix_plpl(int,sF26,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_122])])). 66.85/9.93 tff(f489,plain,( 66.85/9.93 spl30_24 <=> labels(int,sF23) = sF28), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_24])])). 66.85/9.93 tff(f92985,plain,( 66.85/9.93 labels(int,node(int,sF25,sF23)) = infix_plpl(int,sF26,sF28) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1751,f486])). 66.85/9.93 tff(f1751,plain,( 66.85/9.93 ( ! [X1 : uni] : (labels(int,node(int,X1,sF23)) = infix_plpl(int,labels(int,X1),sF28)) ) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f217,f491])). 66.85/9.93 tff(f491,plain,( 66.85/9.93 labels(int,sF23) = sF28 | ~spl30_24), 66.85/9.93 inference(avatar_component_clause,[],[f489])). 66.85/9.93 tff(f167300,plain,( 66.85/9.93 spl30_127 | ~spl30_24 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f92984,f494,f489,f158675])). 66.85/9.93 tff(f158675,plain,( 66.85/9.93 spl30_127 <=> labels(int,node(int,sF24,sF23)) = infix_plpl(int,sF29,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_127])])). 66.85/9.93 tff(f92984,plain,( 66.85/9.93 labels(int,node(int,sF24,sF23)) = infix_plpl(int,sF29,sF28) | (~spl30_24 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1751,f496])). 66.85/9.93 tff(f167159,plain,( 66.85/9.93 spl30_125 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f92983,f489,f158385])). 66.85/9.93 tff(f158385,plain,( 66.85/9.93 spl30_125 <=> labels(int,node(int,sF23,sF23)) = infix_plpl(int,sF28,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_125])])). 66.85/9.93 tff(f92983,plain,( 66.85/9.93 labels(int,node(int,sF23,sF23)) = infix_plpl(int,sF28,sF28) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f1751,f491])). 66.85/9.93 tff(f167018,plain,( 66.85/9.93 spl30_124 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f92824,f489,f484,f158240])). 66.85/9.93 tff(f158240,plain,( 66.85/9.93 spl30_124 <=> labels(int,node(int,sF23,sF25)) = infix_plpl(int,sF28,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_124])])). 66.85/9.93 tff(f92824,plain,( 66.85/9.93 labels(int,node(int,sF23,sF25)) = infix_plpl(int,sF28,sF26) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1748,f486])). 66.85/9.93 tff(f1748,plain,( 66.85/9.93 ( ! [X1 : uni] : (labels(int,node(int,sF23,X1)) = infix_plpl(int,sF28,labels(int,X1))) ) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f217,f491])). 66.85/9.93 tff(f166877,plain,( 66.85/9.93 spl30_125 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f92822,f489,f158385])). 66.85/9.93 tff(f92822,plain,( 66.85/9.93 labels(int,node(int,sF23,sF23)) = infix_plpl(int,sF28,sF28) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f1748,f491])). 66.85/9.93 tff(f166596,plain,( 66.85/9.93 spl30_122 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f76615,f489,f484,f157950])). 66.85/9.93 tff(f76615,plain,( 66.85/9.93 labels(int,node(int,sF25,sF23)) = infix_plpl(int,sF26,sF28) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1747,f491])). 66.85/9.93 tff(f1747,plain,( 66.85/9.93 ( ! [X0 : uni] : (labels(int,node(int,sF25,X0)) = infix_plpl(int,sF26,labels(int,X0))) ) | ~spl30_23), 66.85/9.93 inference(superposition,[],[f217,f486])). 66.85/9.93 tff(f166455,plain,( 66.85/9.93 spl30_124 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f76614,f489,f484,f158240])). 66.85/9.93 tff(f76614,plain,( 66.85/9.93 labels(int,node(int,sF23,sF25)) = infix_plpl(int,sF28,sF26) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1750,f491])). 66.85/9.93 tff(f1750,plain,( 66.85/9.93 ( ! [X0 : uni] : (labels(int,node(int,X0,sF25)) = infix_plpl(int,labels(int,X0),sF26)) ) | ~spl30_23), 66.85/9.93 inference(superposition,[],[f217,f486])). 66.85/9.93 tff(f166314,plain,( 66.85/9.93 spl30_127 | ~spl30_24 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f76613,f494,f489,f158675])). 66.85/9.93 tff(f76613,plain,( 66.85/9.93 labels(int,node(int,sF24,sF23)) = infix_plpl(int,sF29,sF28) | (~spl30_24 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1749,f491])). 66.85/9.93 tff(f1749,plain,( 66.85/9.93 ( ! [X2 : uni] : (labels(int,node(int,sF24,X2)) = infix_plpl(int,sF29,labels(int,X2))) ) | ~spl30_25), 66.85/9.93 inference(superposition,[],[f217,f496])). 66.85/9.93 tff(f166173,plain,( 66.85/9.93 spl30_123 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f69132,f494,f484,f158095])). 66.85/9.93 tff(f69132,plain,( 66.85/9.93 labels(int,node(int,sF25,sF24)) = infix_plpl(int,sF26,sF29) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1752,f486])). 66.85/9.93 tff(f166032,plain,( 66.85/9.93 spl30_128 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f69131,f494,f158820])). 66.85/9.93 tff(f69131,plain,( 66.85/9.93 labels(int,node(int,sF24,sF24)) = infix_plpl(int,sF29,sF29) | ~spl30_25), 66.85/9.93 inference(superposition,[],[f1752,f496])). 66.85/9.93 tff(f165891,plain,( 66.85/9.93 spl30_122 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f68969,f489,f484,f157950])). 66.85/9.93 tff(f68969,plain,( 66.85/9.93 labels(int,node(int,sF25,sF23)) = infix_plpl(int,sF26,sF28) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1751,f486])). 66.85/9.93 tff(f165750,plain,( 66.85/9.93 spl30_127 | ~spl30_24 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f68968,f494,f489,f158675])). 66.85/9.93 tff(f68968,plain,( 66.85/9.93 labels(int,node(int,sF24,sF23)) = infix_plpl(int,sF29,sF28) | (~spl30_24 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1751,f496])). 66.85/9.93 tff(f165609,plain,( 66.85/9.93 spl30_125 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f68967,f489,f158385])). 66.85/9.93 tff(f68967,plain,( 66.85/9.93 labels(int,node(int,sF23,sF23)) = infix_plpl(int,sF28,sF28) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f1751,f491])). 66.85/9.93 tff(f165468,plain,( 66.85/9.93 spl30_126 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f68810,f494,f484,f158530])). 66.85/9.93 tff(f158530,plain,( 66.85/9.93 spl30_126 <=> labels(int,node(int,sF24,sF25)) = infix_plpl(int,sF29,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_126])])). 66.85/9.93 tff(f68810,plain,( 66.85/9.93 labels(int,node(int,sF24,sF25)) = infix_plpl(int,sF29,sF26) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1749,f486])). 66.85/9.93 tff(f165327,plain,( 66.85/9.93 spl30_128 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f68809,f494,f158820])). 66.85/9.93 tff(f68809,plain,( 66.85/9.93 labels(int,node(int,sF24,sF24)) = infix_plpl(int,sF29,sF29) | ~spl30_25), 66.85/9.93 inference(superposition,[],[f1749,f496])). 66.85/9.93 tff(f165186,plain,( 66.85/9.93 spl30_127 | ~spl30_24 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f68808,f494,f489,f158675])). 66.85/9.93 tff(f68808,plain,( 66.85/9.93 labels(int,node(int,sF24,sF23)) = infix_plpl(int,sF29,sF28) | (~spl30_24 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1749,f491])). 66.85/9.93 tff(f165045,plain,( 66.85/9.93 spl30_124 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f68649,f489,f484,f158240])). 66.85/9.93 tff(f68649,plain,( 66.85/9.93 labels(int,node(int,sF23,sF25)) = infix_plpl(int,sF28,sF26) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1748,f486])). 66.85/9.93 tff(f164904,plain,( 66.85/9.93 spl30_125 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f68647,f489,f158385])). 66.85/9.93 tff(f68647,plain,( 66.85/9.93 labels(int,node(int,sF23,sF23)) = infix_plpl(int,sF28,sF28) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f1748,f491])). 66.85/9.93 tff(f164623,plain,( 66.85/9.93 spl30_123 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f66556,f494,f484,f158095])). 66.85/9.93 tff(f66556,plain,( 66.85/9.93 labels(int,node(int,sF25,sF24)) = infix_plpl(int,sF26,sF29) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1747,f496])). 66.85/9.93 tff(f164482,plain,( 66.85/9.93 spl30_126 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f66555,f494,f484,f158530])). 66.85/9.93 tff(f66555,plain,( 66.85/9.93 labels(int,node(int,sF24,sF25)) = infix_plpl(int,sF29,sF26) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1750,f496])). 66.85/9.93 tff(f164201,plain,( 66.85/9.93 spl30_123 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f51995,f494,f484,f158095])). 66.85/9.93 tff(f51995,plain,( 66.85/9.93 labels(int,node(int,sF25,sF24)) = infix_plpl(int,sF26,sF29) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1747,f496])). 66.85/9.93 tff(f164060,plain,( 66.85/9.93 spl30_126 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f51994,f494,f484,f158530])). 66.85/9.93 tff(f51994,plain,( 66.85/9.93 labels(int,node(int,sF24,sF25)) = infix_plpl(int,sF29,sF26) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1750,f496])). 66.85/9.93 tff(f163933,plain,( 66.85/9.93 ~spl30_129 | ~spl30_45 | spl30_54), 66.85/9.93 inference(avatar_split_clause,[],[f163928,f45624,f14353,f163930])). 66.85/9.93 tff(f163930,plain,( 66.85/9.93 spl30_129 <=> sF26 = nil(int)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_129])])). 66.85/9.93 tff(f163928,plain,( 66.85/9.93 sF26 != nil(int) | (~spl30_45 | spl30_54)), 66.85/9.93 inference(subsumption_resolution,[],[f163924,f45625])). 66.85/9.93 tff(f163924,plain,( 66.85/9.93 sF26 != nil(int) | sF28 = nil(int) | ~spl30_45), 66.85/9.93 inference(superposition,[],[f43517,f14355])). 66.85/9.93 tff(f43517,plain,( 66.85/9.93 ( ! [X28 : uni,X26 : ty,X27 : uni] : (nil(X26) != infix_plpl(X26,X27,X28) | nil(X26) = X27) )), 66.85/9.93 inference(superposition,[],[f256,f1817])). 66.85/9.93 tff(f256,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons(X0,X1,X2) != nil(X0)) )), 66.85/9.93 inference(cnf_transformation,[],[f110])). 66.85/9.93 tff(f110,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : cons(X0,X1,X2) != nil(X0)), 66.85/9.93 inference(rectify,[],[f56])). 66.85/9.93 tff(f56,axiom,( 66.85/9.93 ! [X0 : ty,X9 : uni,X10 : uni] : nil(X0) != cons(X0,X9,X10)), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons)). 66.85/9.93 tff(f159951,plain,( 66.85/9.93 spl30_128 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14704,f494,f158820])). 66.85/9.93 tff(f14704,plain,( 66.85/9.93 labels(int,node(int,sF24,sF24)) = infix_plpl(int,sF29,sF29) | ~spl30_25), 66.85/9.93 inference(superposition,[],[f1752,f496])). 66.85/9.93 tff(f159810,plain,( 66.85/9.93 spl30_123 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14702,f494,f484,f158095])). 66.85/9.93 tff(f14702,plain,( 66.85/9.93 labels(int,node(int,sF25,sF24)) = infix_plpl(int,sF26,sF29) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1752,f486])). 66.85/9.93 tff(f159669,plain,( 66.85/9.93 spl30_127 | ~spl30_24 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14615,f494,f489,f158675])). 66.85/9.93 tff(f14615,plain,( 66.85/9.93 labels(int,node(int,sF24,sF23)) = infix_plpl(int,sF29,sF28) | (~spl30_24 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1751,f496])). 66.85/9.93 tff(f159528,plain,( 66.85/9.93 spl30_125 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f14614,f489,f158385])). 66.85/9.93 tff(f14614,plain,( 66.85/9.93 labels(int,node(int,sF23,sF23)) = infix_plpl(int,sF28,sF28) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f1751,f491])). 66.85/9.93 tff(f159387,plain,( 66.85/9.93 spl30_122 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f14613,f489,f484,f157950])). 66.85/9.93 tff(f14613,plain,( 66.85/9.93 labels(int,node(int,sF25,sF23)) = infix_plpl(int,sF26,sF28) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1751,f486])). 66.85/9.93 tff(f159246,plain,( 66.85/9.93 spl30_126 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14526,f494,f484,f158530])). 66.85/9.93 tff(f14526,plain,( 66.85/9.93 labels(int,node(int,sF24,sF25)) = infix_plpl(int,sF29,sF26) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1750,f496])). 66.85/9.93 tff(f159105,plain,( 66.85/9.93 spl30_124 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f14525,f489,f484,f158240])). 66.85/9.93 tff(f14525,plain,( 66.85/9.93 labels(int,node(int,sF23,sF25)) = infix_plpl(int,sF28,sF26) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1750,f491])). 66.85/9.93 tff(f158964,plain,( 66.85/9.93 spl30_121 | ~spl30_23), 66.85/9.93 inference(avatar_split_clause,[],[f14524,f484,f157805])). 66.85/9.93 tff(f157805,plain,( 66.85/9.93 spl30_121 <=> labels(int,node(int,sF25,sF25)) = infix_plpl(int,sF26,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_121])])). 66.85/9.93 tff(f14524,plain,( 66.85/9.93 labels(int,node(int,sF25,sF25)) = infix_plpl(int,sF26,sF26) | ~spl30_23), 66.85/9.93 inference(superposition,[],[f1750,f486])). 66.85/9.93 tff(f158823,plain,( 66.85/9.93 spl30_128 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14437,f494,f158820])). 66.85/9.93 tff(f14437,plain,( 66.85/9.93 labels(int,node(int,sF24,sF24)) = infix_plpl(int,sF29,sF29) | ~spl30_25), 66.85/9.93 inference(superposition,[],[f1749,f496])). 66.85/9.93 tff(f158678,plain,( 66.85/9.93 spl30_127 | ~spl30_24 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14436,f494,f489,f158675])). 66.85/9.93 tff(f14436,plain,( 66.85/9.93 labels(int,node(int,sF24,sF23)) = infix_plpl(int,sF29,sF28) | (~spl30_24 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1749,f491])). 66.85/9.93 tff(f158533,plain,( 66.85/9.93 spl30_126 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14435,f494,f484,f158530])). 66.85/9.93 tff(f14435,plain,( 66.85/9.93 labels(int,node(int,sF24,sF25)) = infix_plpl(int,sF29,sF26) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1749,f486])). 66.85/9.93 tff(f158388,plain,( 66.85/9.93 spl30_125 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f14342,f489,f158385])). 66.85/9.93 tff(f14342,plain,( 66.85/9.93 labels(int,node(int,sF23,sF23)) = infix_plpl(int,sF28,sF28) | ~spl30_24), 66.85/9.93 inference(superposition,[],[f1748,f491])). 66.85/9.93 tff(f158243,plain,( 66.85/9.93 spl30_124 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f14341,f489,f484,f158240])). 66.85/9.93 tff(f14341,plain,( 66.85/9.93 labels(int,node(int,sF23,sF25)) = infix_plpl(int,sF28,sF26) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1748,f486])). 66.85/9.93 tff(f158098,plain,( 66.85/9.93 spl30_123 | ~spl30_23 | ~spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f14254,f494,f484,f158095])). 66.85/9.93 tff(f14254,plain,( 66.85/9.93 labels(int,node(int,sF25,sF24)) = infix_plpl(int,sF26,sF29) | (~spl30_23 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1747,f496])). 66.85/9.93 tff(f157953,plain,( 66.85/9.93 spl30_122 | ~spl30_23 | ~spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f14253,f489,f484,f157950])). 66.85/9.93 tff(f14253,plain,( 66.85/9.93 labels(int,node(int,sF25,sF23)) = infix_plpl(int,sF26,sF28) | (~spl30_23 | ~spl30_24)), 66.85/9.93 inference(superposition,[],[f1747,f491])). 66.85/9.93 tff(f157808,plain,( 66.85/9.93 spl30_121 | ~spl30_23), 66.85/9.93 inference(avatar_split_clause,[],[f14252,f484,f157805])). 66.85/9.93 tff(f14252,plain,( 66.85/9.93 labels(int,node(int,sF25,sF25)) = infix_plpl(int,sF26,sF26) | ~spl30_23), 66.85/9.93 inference(superposition,[],[f1747,f486])). 66.85/9.93 tff(f144101,plain,( 66.85/9.93 spl30_120 | ~spl30_95), 66.85/9.93 inference(avatar_split_clause,[],[f92504,f92359,f143957])). 66.85/9.93 tff(f143957,plain,( 66.85/9.93 spl30_120 <=> length(int,sF29) = $sum(1,length(int,cons_proj_2(int,sF29)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_120])])). 66.85/9.93 tff(f92359,plain,( 66.85/9.93 spl30_95 <=> sF29 = cons(int,cons_proj_1(int,sF29),cons_proj_2(int,sF29))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_95])])). 66.85/9.93 tff(f92504,plain,( 66.85/9.93 length(int,sF29) = $sum(1,length(int,cons_proj_2(int,sF29))) | ~spl30_95), 66.85/9.93 inference(superposition,[],[f218,f92361])). 66.85/9.93 tff(f92361,plain,( 66.85/9.93 sF29 = cons(int,cons_proj_1(int,sF29),cons_proj_2(int,sF29)) | ~spl30_95), 66.85/9.93 inference(avatar_component_clause,[],[f92359])). 66.85/9.93 tff(f218,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2))) )), 66.85/9.93 inference(cnf_transformation,[],[f92])). 66.85/9.93 tff(f92,plain,( 66.85/9.93 ! [X0 : ty] : (0 = length(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)))), 66.85/9.93 inference(rectify,[],[f71])). 66.85/9.93 tff(f71,axiom,( 66.85/9.93 ! [X0 : ty] : (0 = length(X0,nil(X0)) & ! [X6 : uni,X7 : uni] : length(X0,cons(X0,X6,X7)) = $sum(1,length(X0,X7)))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 66.85/9.93 tff(f143960,plain,( 66.85/9.93 spl30_120 | ~spl30_71 | ~spl30_91), 66.85/9.93 inference(avatar_split_clause,[],[f92159,f85277,f69860,f143957])). 66.85/9.93 tff(f69860,plain,( 66.85/9.93 spl30_71 <=> sF29 = cons(int,sK9(int,sF29),sK10(int,sF29))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_71])])). 66.85/9.93 tff(f85277,plain,( 66.85/9.93 spl30_91 <=> sK10(int,sF29) = cons_proj_2(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_91])])). 66.85/9.93 tff(f92159,plain,( 66.85/9.93 length(int,sF29) = $sum(1,length(int,cons_proj_2(int,sF29))) | (~spl30_71 | ~spl30_91)), 66.85/9.93 inference(forward_demodulation,[],[f85004,f85279])). 66.85/9.93 tff(f85279,plain,( 66.85/9.93 sK10(int,sF29) = cons_proj_2(int,sF29) | ~spl30_91), 66.85/9.93 inference(avatar_component_clause,[],[f85277])). 66.85/9.93 tff(f85004,plain,( 66.85/9.93 length(int,sF29) = $sum(1,length(int,sK10(int,sF29))) | ~spl30_71), 66.85/9.93 inference(superposition,[],[f218,f69862])). 66.85/9.93 tff(f69862,plain,( 66.85/9.93 sF29 = cons(int,sK9(int,sF29),sK10(int,sF29)) | ~spl30_71), 66.85/9.93 inference(avatar_component_clause,[],[f69860])). 66.85/9.93 tff(f142648,plain,( 66.85/9.93 spl30_119 | ~spl30_69), 66.85/9.93 inference(avatar_split_clause,[],[f84809,f68043,f141196])). 66.85/9.93 tff(f141196,plain,( 66.85/9.93 spl30_119 <=> length(int,sF28) = $sum(1,length(int,cons_proj_2(int,sF28)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_119])])). 66.85/9.93 tff(f84809,plain,( 66.85/9.93 length(int,sF28) = $sum(1,length(int,cons_proj_2(int,sF28))) | ~spl30_69), 66.85/9.93 inference(superposition,[],[f218,f68045])). 66.85/9.93 tff(f141947,plain,( 66.85/9.93 spl30_119 | ~spl30_69), 66.85/9.93 inference(avatar_split_clause,[],[f68329,f68043,f141196])). 66.85/9.93 tff(f68329,plain,( 66.85/9.93 length(int,sF28) = $sum(1,length(int,cons_proj_2(int,sF28))) | ~spl30_69), 66.85/9.93 inference(superposition,[],[f218,f68045])). 66.85/9.93 tff(f141199,plain,( 66.85/9.93 spl30_119 | ~spl30_62), 66.85/9.93 inference(avatar_split_clause,[],[f67748,f59920,f141196])). 66.85/9.93 tff(f59920,plain,( 66.85/9.93 spl30_62 <=> sF28 = cons(int,sK9(int,sF28),cons_proj_2(int,sF28))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_62])])). 66.85/9.93 tff(f67748,plain,( 66.85/9.93 length(int,sF28) = $sum(1,length(int,cons_proj_2(int,sF28))) | ~spl30_62), 66.85/9.93 inference(superposition,[],[f218,f59922])). 66.85/9.93 tff(f59922,plain,( 66.85/9.93 sF28 = cons(int,sK9(int,sF28),cons_proj_2(int,sF28)) | ~spl30_62), 66.85/9.93 inference(avatar_component_clause,[],[f59920])). 66.85/9.93 tff(f124161,plain,( 66.85/9.93 spl30_117 | ~spl30_116), 66.85/9.93 inference(avatar_split_clause,[],[f122037,f121892,f122218])). 66.85/9.93 tff(f122218,plain,( 66.85/9.93 spl30_117 <=> sK14(a1,int,sF21,sF24) = node_proj_1(a1,sF21)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_117])])). 66.85/9.93 tff(f121892,plain,( 66.85/9.93 spl30_116 <=> sF21 = node(a1,sK14(a1,int,sF21,sF24),node_proj_2(a1,sF21))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_116])])). 66.85/9.93 tff(f122037,plain,( 66.85/9.93 sK14(a1,int,sF21,sF24) = node_proj_1(a1,sF21) | ~spl30_116), 66.85/9.93 inference(superposition,[],[f261,f121894])). 66.85/9.93 tff(f121894,plain,( 66.85/9.93 sF21 = node(a1,sK14(a1,int,sF21,sF24),node_proj_2(a1,sF21)) | ~spl30_116), 66.85/9.93 inference(avatar_component_clause,[],[f121892])). 66.85/9.93 tff(f261,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (node_proj_1(X0,node(X0,X1,X2)) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f48])). 66.85/9.93 tff(f48,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : node_proj_1(X0,node(X0,X1,X2)) = X1), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',node_proj_1_def)). 66.85/9.93 tff(f123716,plain,( 66.85/9.93 spl30_113 | ~spl30_112), 66.85/9.93 inference(avatar_split_clause,[],[f121096,f120951,f121277])). 66.85/9.93 tff(f121277,plain,( 66.85/9.93 spl30_113 <=> sK14(a1,int,sF20,sF23) = node_proj_1(a1,sF20)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_113])])). 66.85/9.93 tff(f120951,plain,( 66.85/9.93 spl30_112 <=> sF20 = node(a1,sK14(a1,int,sF20,sF23),node_proj_2(a1,sF20))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_112])])). 66.85/9.93 tff(f121096,plain,( 66.85/9.93 sK14(a1,int,sF20,sF23) = node_proj_1(a1,sF20) | ~spl30_112), 66.85/9.93 inference(superposition,[],[f261,f120953])). 66.85/9.93 tff(f120953,plain,( 66.85/9.93 sF20 = node(a1,sK14(a1,int,sF20,sF23),node_proj_2(a1,sF20)) | ~spl30_112), 66.85/9.93 inference(avatar_component_clause,[],[f120951])). 66.85/9.93 tff(f123274,plain,( 66.85/9.93 spl30_109 | ~spl30_108), 66.85/9.93 inference(avatar_split_clause,[],[f120129,f119984,f120323])). 66.85/9.93 tff(f120323,plain,( 66.85/9.93 spl30_109 <=> sK16(a1,int,sF21,sF24) = node_proj_1(int,sF24)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_109])])). 66.85/9.93 tff(f119984,plain,( 66.85/9.93 spl30_108 <=> sF24 = node(int,sK16(a1,int,sF21,sF24),node_proj_2(int,sF24))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_108])])). 66.85/9.93 tff(f120129,plain,( 66.85/9.93 sK16(a1,int,sF21,sF24) = node_proj_1(int,sF24) | ~spl30_108), 66.85/9.93 inference(superposition,[],[f261,f119986])). 66.85/9.93 tff(f119986,plain,( 66.85/9.93 sF24 = node(int,sK16(a1,int,sF21,sF24),node_proj_2(int,sF24)) | ~spl30_108), 66.85/9.93 inference(avatar_component_clause,[],[f119984])). 66.85/9.93 tff(f122835,plain,( 66.85/9.93 spl30_105 | ~spl30_104), 66.85/9.93 inference(avatar_split_clause,[],[f119162,f119017,f119356])). 66.85/9.93 tff(f119356,plain,( 66.85/9.93 spl30_105 <=> sK16(a1,int,sF20,sF23) = node_proj_1(int,sF23)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_105])])). 66.85/9.93 tff(f119017,plain,( 66.85/9.93 spl30_104 <=> sF23 = node(int,sK16(a1,int,sF20,sF23),node_proj_2(int,sF23))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_104])])). 66.85/9.93 tff(f119162,plain,( 66.85/9.93 sK16(a1,int,sF20,sF23) = node_proj_1(int,sF23) | ~spl30_104), 66.85/9.93 inference(superposition,[],[f261,f119019])). 66.85/9.93 tff(f119019,plain,( 66.85/9.93 sF23 = node(int,sK16(a1,int,sF20,sF23),node_proj_2(int,sF23)) | ~spl30_104), 66.85/9.93 inference(avatar_component_clause,[],[f119017])). 66.85/9.93 tff(f122366,plain,( 66.85/9.93 spl30_118 | ~spl30_102 | ~spl30_116), 66.85/9.93 inference(avatar_split_clause,[],[f122216,f121892,f95777,f122363])). 66.85/9.93 tff(f122363,plain,( 66.85/9.93 spl30_118 <=> sF21 = node(a1,node_proj_1(a1,sF21),node_proj_2(a1,sF21))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_118])])). 66.85/9.93 tff(f95777,plain,( 66.85/9.93 spl30_102 <=> sF21 = node(a1,sK14(a1,int,sF21,sF24),sK15(a1,int,sF21,sF24))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_102])])). 66.85/9.93 tff(f122216,plain,( 66.85/9.93 sF21 = node(a1,node_proj_1(a1,sF21),node_proj_2(a1,sF21)) | (~spl30_102 | ~spl30_116)), 66.85/9.93 inference(backward_demodulation,[],[f121894,f95923])). 66.85/9.93 tff(f95923,plain,( 66.85/9.93 sK14(a1,int,sF21,sF24) = node_proj_1(a1,sF21) | ~spl30_102), 66.85/9.93 inference(superposition,[],[f261,f95779])). 66.85/9.93 tff(f95779,plain,( 66.85/9.93 sF21 = node(a1,sK14(a1,int,sF21,sF24),sK15(a1,int,sF21,sF24)) | ~spl30_102), 66.85/9.93 inference(avatar_component_clause,[],[f95777])). 66.85/9.93 tff(f122221,plain,( 66.85/9.93 spl30_117 | ~spl30_102), 66.85/9.93 inference(avatar_split_clause,[],[f95923,f95777,f122218])). 66.85/9.93 tff(f121895,plain,( 66.85/9.93 spl30_116 | ~spl30_102), 66.85/9.93 inference(avatar_split_clause,[],[f121745,f95777,f121892])). 66.85/9.93 tff(f121745,plain,( 66.85/9.93 sF21 = node(a1,sK14(a1,int,sF21,sF24),node_proj_2(a1,sF21)) | ~spl30_102), 66.85/9.93 inference(backward_demodulation,[],[f95779,f95922])). 66.85/9.93 tff(f95922,plain,( 66.85/9.93 sK15(a1,int,sF21,sF24) = node_proj_2(a1,sF21) | ~spl30_102), 66.85/9.93 inference(superposition,[],[f260,f95779])). 66.85/9.93 tff(f260,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (node_proj_2(X0,node(X0,X1,X2)) = X2) )), 66.85/9.93 inference(cnf_transformation,[],[f55])). 66.85/9.93 tff(f55,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : node_proj_2(X0,node(X0,X1,X2)) = X2), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',node_proj_2_def)). 66.85/9.93 tff(f121750,plain,( 66.85/9.93 spl30_115 | ~spl30_102), 66.85/9.93 inference(avatar_split_clause,[],[f95922,f95777,f121747])). 66.85/9.93 tff(f121747,plain,( 66.85/9.93 spl30_115 <=> sK15(a1,int,sF21,sF24) = node_proj_2(a1,sF21)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_115])])). 66.85/9.93 tff(f121425,plain,( 66.85/9.93 spl30_114 | ~spl30_101 | ~spl30_112), 66.85/9.93 inference(avatar_split_clause,[],[f121275,f120951,f95319,f121422])). 66.85/9.93 tff(f121422,plain,( 66.85/9.93 spl30_114 <=> sF20 = node(a1,node_proj_1(a1,sF20),node_proj_2(a1,sF20))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_114])])). 66.85/9.93 tff(f95319,plain,( 66.85/9.93 spl30_101 <=> sF20 = node(a1,sK14(a1,int,sF20,sF23),sK15(a1,int,sF20,sF23))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_101])])). 66.85/9.93 tff(f121275,plain,( 66.85/9.93 sF20 = node(a1,node_proj_1(a1,sF20),node_proj_2(a1,sF20)) | (~spl30_101 | ~spl30_112)), 66.85/9.93 inference(backward_demodulation,[],[f120953,f95465])). 66.85/9.93 tff(f95465,plain,( 66.85/9.93 sK14(a1,int,sF20,sF23) = node_proj_1(a1,sF20) | ~spl30_101), 66.85/9.93 inference(superposition,[],[f261,f95321])). 66.85/9.93 tff(f95321,plain,( 66.85/9.93 sF20 = node(a1,sK14(a1,int,sF20,sF23),sK15(a1,int,sF20,sF23)) | ~spl30_101), 66.85/9.93 inference(avatar_component_clause,[],[f95319])). 66.85/9.93 tff(f121280,plain,( 66.85/9.93 spl30_113 | ~spl30_101), 66.85/9.93 inference(avatar_split_clause,[],[f95465,f95319,f121277])). 66.85/9.93 tff(f120954,plain,( 66.85/9.93 spl30_112 | ~spl30_101), 66.85/9.93 inference(avatar_split_clause,[],[f120804,f95319,f120951])). 66.85/9.93 tff(f120804,plain,( 66.85/9.93 sF20 = node(a1,sK14(a1,int,sF20,sF23),node_proj_2(a1,sF20)) | ~spl30_101), 66.85/9.93 inference(backward_demodulation,[],[f95321,f95464])). 66.85/9.93 tff(f95464,plain,( 66.85/9.93 sK15(a1,int,sF20,sF23) = node_proj_2(a1,sF20) | ~spl30_101), 66.85/9.93 inference(superposition,[],[f260,f95321])). 66.85/9.93 tff(f120809,plain,( 66.85/9.93 spl30_111 | ~spl30_101), 66.85/9.93 inference(avatar_split_clause,[],[f95464,f95319,f120806])). 66.85/9.93 tff(f120806,plain,( 66.85/9.93 spl30_111 <=> sK15(a1,int,sF20,sF23) = node_proj_2(a1,sF20)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_111])])). 66.85/9.93 tff(f120471,plain,( 66.85/9.93 spl30_110 | ~spl30_99 | ~spl30_108), 66.85/9.93 inference(avatar_split_clause,[],[f120321,f119984,f94235,f120468])). 66.85/9.93 tff(f120468,plain,( 66.85/9.93 spl30_110 <=> sF24 = node(int,node_proj_1(int,sF24),node_proj_2(int,sF24))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_110])])). 66.85/9.93 tff(f94235,plain,( 66.85/9.93 spl30_99 <=> sF24 = node(int,sK16(a1,int,sF21,sF24),sK17(a1,int,sF21,sF24))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_99])])). 66.85/9.93 tff(f120321,plain,( 66.85/9.93 sF24 = node(int,node_proj_1(int,sF24),node_proj_2(int,sF24)) | (~spl30_99 | ~spl30_108)), 66.85/9.93 inference(backward_demodulation,[],[f119986,f94724])). 66.85/9.93 tff(f94724,plain,( 66.85/9.93 sK16(a1,int,sF21,sF24) = node_proj_1(int,sF24) | ~spl30_99), 66.85/9.93 inference(superposition,[],[f261,f94237])). 66.85/9.93 tff(f94237,plain,( 66.85/9.93 sF24 = node(int,sK16(a1,int,sF21,sF24),sK17(a1,int,sF21,sF24)) | ~spl30_99), 66.85/9.93 inference(avatar_component_clause,[],[f94235])). 66.85/9.93 tff(f120326,plain,( 66.85/9.93 spl30_109 | ~spl30_99), 66.85/9.93 inference(avatar_split_clause,[],[f94724,f94235,f120323])). 66.85/9.93 tff(f119987,plain,( 66.85/9.93 spl30_108 | ~spl30_99), 66.85/9.93 inference(avatar_split_clause,[],[f119837,f94235,f119984])). 66.85/9.93 tff(f119837,plain,( 66.85/9.93 sF24 = node(int,sK16(a1,int,sF21,sF24),node_proj_2(int,sF24)) | ~spl30_99), 66.85/9.93 inference(backward_demodulation,[],[f94237,f94723])). 66.85/9.93 tff(f94723,plain,( 66.85/9.93 sK17(a1,int,sF21,sF24) = node_proj_2(int,sF24) | ~spl30_99), 66.85/9.93 inference(superposition,[],[f260,f94237])). 66.85/9.93 tff(f119842,plain,( 66.85/9.93 spl30_107 | ~spl30_99), 66.85/9.93 inference(avatar_split_clause,[],[f94723,f94235,f119839])). 66.85/9.93 tff(f119839,plain,( 66.85/9.93 spl30_107 <=> sK17(a1,int,sF21,sF24) = node_proj_2(int,sF24)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_107])])). 66.85/9.93 tff(f119504,plain,( 66.85/9.93 spl30_106 | ~spl30_96 | ~spl30_104), 66.85/9.93 inference(avatar_split_clause,[],[f119354,f119017,f93592,f119501])). 66.85/9.93 tff(f119501,plain,( 66.85/9.93 spl30_106 <=> sF23 = node(int,node_proj_1(int,sF23),node_proj_2(int,sF23))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_106])])). 66.85/9.93 tff(f93592,plain,( 66.85/9.93 spl30_96 <=> sF23 = node(int,sK16(a1,int,sF20,sF23),sK17(a1,int,sF20,sF23))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_96])])). 66.85/9.93 tff(f119354,plain,( 66.85/9.93 sF23 = node(int,node_proj_1(int,sF23),node_proj_2(int,sF23)) | (~spl30_96 | ~spl30_104)), 66.85/9.93 inference(backward_demodulation,[],[f119019,f94061])). 66.85/9.93 tff(f94061,plain,( 66.85/9.93 sK16(a1,int,sF20,sF23) = node_proj_1(int,sF23) | ~spl30_96), 66.85/9.93 inference(superposition,[],[f261,f93594])). 66.85/9.93 tff(f93594,plain,( 66.85/9.93 sF23 = node(int,sK16(a1,int,sF20,sF23),sK17(a1,int,sF20,sF23)) | ~spl30_96), 66.85/9.93 inference(avatar_component_clause,[],[f93592])). 66.85/9.93 tff(f119359,plain,( 66.85/9.93 spl30_105 | ~spl30_96), 66.85/9.93 inference(avatar_split_clause,[],[f94061,f93592,f119356])). 66.85/9.93 tff(f119020,plain,( 66.85/9.93 spl30_104 | ~spl30_96), 66.85/9.93 inference(avatar_split_clause,[],[f118870,f93592,f119017])). 66.85/9.93 tff(f118870,plain,( 66.85/9.93 sF23 = node(int,sK16(a1,int,sF20,sF23),node_proj_2(int,sF23)) | ~spl30_96), 66.85/9.93 inference(backward_demodulation,[],[f93594,f94060])). 66.85/9.93 tff(f94060,plain,( 66.85/9.93 sK17(a1,int,sF20,sF23) = node_proj_2(int,sF23) | ~spl30_96), 66.85/9.93 inference(superposition,[],[f260,f93594])). 66.85/9.93 tff(f118875,plain,( 66.85/9.93 spl30_103 | ~spl30_96), 66.85/9.93 inference(avatar_split_clause,[],[f94060,f93592,f118872])). 66.85/9.93 tff(f118872,plain,( 66.85/9.93 spl30_103 <=> sK17(a1,int,sF20,sF23) = node_proj_2(int,sF23)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_103])])). 66.85/9.93 tff(f95780,plain,( 66.85/9.93 spl30_102 | ~spl30_13 | spl30_100), 66.85/9.93 inference(avatar_split_clause,[],[f95635,f94239,f416,f95777])). 66.85/9.93 tff(f416,plain,( 66.85/9.93 spl30_13 <=> same_shape(int,a1,sF21,sF24)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_13])])). 66.85/9.93 tff(f94239,plain,( 66.85/9.93 spl30_100 <=> sF24 = leaf(int,sK19(a1,int,sF21,sF24))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_100])])). 66.85/9.93 tff(f95635,plain,( 66.85/9.93 sF21 = node(a1,sK14(a1,int,sF21,sF24),sK15(a1,int,sF21,sF24)) | (~spl30_13 | spl30_100)), 66.85/9.93 inference(subsumption_resolution,[],[f5673,f94240])). 66.85/9.93 tff(f94240,plain,( 66.85/9.93 sF24 != leaf(int,sK19(a1,int,sF21,sF24)) | spl30_100), 66.85/9.93 inference(avatar_component_clause,[],[f94239])). 66.85/9.93 tff(f5673,plain,( 66.85/9.93 sF24 = leaf(int,sK19(a1,int,sF21,sF24)) | sF21 = node(a1,sK14(a1,int,sF21,sF24),sK15(a1,int,sF21,sF24)) | ~spl30_13), 66.85/9.93 inference(resolution,[],[f300,f418])). 66.85/9.93 tff(f418,plain,( 66.85/9.93 same_shape(int,a1,sF21,sF24) | ~spl30_13), 66.85/9.93 inference(avatar_component_clause,[],[f416])). 66.85/9.93 tff(f300,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty] : (~same_shape(X1,X0,X2,X3) | leaf(X1,sK19(X0,X1,X2,X3)) = X3 | node(X0,sK14(X0,X1,X2,X3),sK15(X0,X1,X2,X3)) = X2) )), 66.85/9.93 inference(cnf_transformation,[],[f182])). 66.85/9.93 tff(f182,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : ((sort(tree(X0),sK14(X0,X1,X2,X3)) & sort(tree(X0),sK15(X0,X1,X2,X3)) & sort(tree(X1),sK16(X0,X1,X2,X3)) & node(X0,sK14(X0,X1,X2,X3),sK15(X0,X1,X2,X3)) = X2 & node(X1,sK16(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) = X3 & same_shape(X1,X0,sK15(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) & same_shape(X1,X0,sK14(X0,X1,X2,X3),sK16(X0,X1,X2,X3)) & sort(tree(X1),sK17(X0,X1,X2,X3))) | (leaf(X0,sK18(X0,X1,X2,X3)) = X2 & leaf(X1,sK19(X0,X1,X2,X3)) = X3 & sort(X1,sK19(X0,X1,X2,X3)) & sort(X0,sK18(X0,X1,X2,X3))) | ~same_shape(X1,X0,X2,X3))), 66.85/9.93 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19])],[f158,f181,f180])). 66.85/9.93 tff(f180,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (? [X4 : uni,X5 : uni,X6 : uni,X7 : uni] : (sort(tree(X0),X4) & sort(tree(X0),X5) & sort(tree(X1),X6) & node(X0,X4,X5) = X2 & node(X1,X6,X7) = X3 & same_shape(X1,X0,X5,X7) & same_shape(X1,X0,X4,X6) & sort(tree(X1),X7)) => (sort(tree(X0),sK14(X0,X1,X2,X3)) & sort(tree(X0),sK15(X0,X1,X2,X3)) & sort(tree(X1),sK16(X0,X1,X2,X3)) & node(X0,sK14(X0,X1,X2,X3),sK15(X0,X1,X2,X3)) = X2 & node(X1,sK16(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) = X3 & same_shape(X1,X0,sK15(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) & same_shape(X1,X0,sK14(X0,X1,X2,X3),sK16(X0,X1,X2,X3)) & sort(tree(X1),sK17(X0,X1,X2,X3))))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f181,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (? [X8 : uni,X9 : uni] : (leaf(X0,X8) = X2 & leaf(X1,X9) = X3 & sort(X1,X9) & sort(X0,X8)) => (leaf(X0,sK18(X0,X1,X2,X3)) = X2 & leaf(X1,sK19(X0,X1,X2,X3)) = X3 & sort(X1,sK19(X0,X1,X2,X3)) & sort(X0,sK18(X0,X1,X2,X3))))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f158,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (? [X4 : uni,X5 : uni,X6 : uni,X7 : uni] : (sort(tree(X0),X4) & sort(tree(X0),X5) & sort(tree(X1),X6) & node(X0,X4,X5) = X2 & node(X1,X6,X7) = X3 & same_shape(X1,X0,X5,X7) & same_shape(X1,X0,X4,X6) & sort(tree(X1),X7)) | ? [X8 : uni,X9 : uni] : (leaf(X0,X8) = X2 & leaf(X1,X9) = X3 & sort(X1,X9) & sort(X0,X8)) | ~same_shape(X1,X0,X2,X3))), 66.85/9.93 inference(flattening,[],[f157])). 66.85/9.93 tff(f157,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : ((? [X4 : uni,X5 : uni,X6 : uni,X7 : uni] : (sort(tree(X0),X4) & sort(tree(X0),X5) & sort(tree(X1),X6) & node(X0,X4,X5) = X2 & node(X1,X6,X7) = X3 & same_shape(X1,X0,X5,X7) & same_shape(X1,X0,X4,X6) & sort(tree(X1),X7)) | ? [X8 : uni,X9 : uni] : (leaf(X0,X8) = X2 & leaf(X1,X9) = X3 & sort(X1,X9) & sort(X0,X8))) | ~same_shape(X1,X0,X2,X3))), 66.85/9.93 inference(ennf_transformation,[],[f127])). 66.85/9.93 tff(f127,plain,( 66.85/9.93 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (same_shape(X1,X0,X2,X3) => (? [X4 : uni,X5 : uni,X6 : uni,X7 : uni] : (sort(tree(X0),X4) & sort(tree(X0),X5) & sort(tree(X1),X6) & node(X0,X4,X5) = X2 & node(X1,X6,X7) = X3 & same_shape(X1,X0,X5,X7) & same_shape(X1,X0,X4,X6) & sort(tree(X1),X7)) | ? [X8 : uni,X9 : uni] : (leaf(X0,X8) = X2 & leaf(X1,X9) = X3 & sort(X1,X9) & sort(X0,X8))))), 66.85/9.93 inference(rectify,[],[f12])). 66.85/9.93 tff(f12,axiom,( 66.85/9.93 ! [X0 : ty,X11 : ty,X4 : uni,X5 : uni] : (same_shape(X11,X0,X4,X5) => (? [X13 : uni,X14 : uni,X15 : uni,X16 : uni] : (sort(tree(X0),X13) & sort(tree(X0),X14) & sort(tree(X11),X15) & node(X0,X13,X14) = X4 & node(X11,X15,X16) = X5 & same_shape(X11,X0,X14,X16) & same_shape(X11,X0,X13,X15) & sort(tree(X11),X16)) | ? [X7 : uni,X12 : uni] : (leaf(X0,X7) = X4 & leaf(X11,X12) = X5 & sort(X11,X12) & sort(X0,X7))))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_shape_inversion)). 66.85/9.93 tff(f95322,plain,( 66.85/9.93 spl30_101 | ~spl30_12 | spl30_97), 66.85/9.93 inference(avatar_split_clause,[],[f95177,f93596,f411,f95319])). 66.85/9.93 tff(f411,plain,( 66.85/9.93 spl30_12 <=> same_shape(int,a1,sF20,sF23)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_12])])). 66.85/9.93 tff(f93596,plain,( 66.85/9.93 spl30_97 <=> sF23 = leaf(int,sK19(a1,int,sF20,sF23))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_97])])). 66.85/9.93 tff(f95177,plain,( 66.85/9.93 sF20 = node(a1,sK14(a1,int,sF20,sF23),sK15(a1,int,sF20,sF23)) | (~spl30_12 | spl30_97)), 66.85/9.93 inference(subsumption_resolution,[],[f5672,f93597])). 66.85/9.93 tff(f93597,plain,( 66.85/9.93 sF23 != leaf(int,sK19(a1,int,sF20,sF23)) | spl30_97), 66.85/9.93 inference(avatar_component_clause,[],[f93596])). 66.85/9.93 tff(f5672,plain,( 66.85/9.93 sF23 = leaf(int,sK19(a1,int,sF20,sF23)) | sF20 = node(a1,sK14(a1,int,sF20,sF23),sK15(a1,int,sF20,sF23)) | ~spl30_12), 66.85/9.93 inference(resolution,[],[f300,f413])). 66.85/9.93 tff(f413,plain,( 66.85/9.93 same_shape(int,a1,sF20,sF23) | ~spl30_12), 66.85/9.93 inference(avatar_component_clause,[],[f411])). 66.85/9.93 tff(f94440,plain,( 66.85/9.93 ~spl30_25 | spl30_76 | ~spl30_100), 66.85/9.93 inference(avatar_contradiction_clause,[],[f94439])). 66.85/9.93 tff(f94439,plain,( 66.85/9.93 $false | (~spl30_25 | spl30_76 | ~spl30_100)), 66.85/9.93 inference(subsumption_resolution,[],[f94438,f77779])). 66.85/9.93 tff(f77779,plain,( 66.85/9.93 1 != length(int,sF29) | spl30_76), 66.85/9.93 inference(avatar_component_clause,[],[f77778])). 66.85/9.93 tff(f77778,plain,( 66.85/9.93 spl30_76 <=> 1 = length(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_76])])). 66.85/9.93 tff(f94438,plain,( 66.85/9.93 1 = length(int,sF29) | (~spl30_25 | ~spl30_100)), 66.85/9.93 inference(forward_demodulation,[],[f94396,f496])). 66.85/9.93 tff(f94396,plain,( 66.85/9.93 1 = length(int,labels(int,sF24)) | ~spl30_100), 66.85/9.93 inference(superposition,[],[f988,f94241])). 66.85/9.93 tff(f94241,plain,( 66.85/9.93 sF24 = leaf(int,sK19(a1,int,sF21,sF24)) | ~spl30_100), 66.85/9.93 inference(avatar_component_clause,[],[f94239])). 66.85/9.93 tff(f988,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (1 = length(X0,labels(X0,leaf(X0,X1)))) )), 66.85/9.93 inference(evaluation,[],[f987])). 66.85/9.93 tff(f987,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (length(X0,labels(X0,leaf(X0,X1))) = $sum(1,0)) )), 66.85/9.93 inference(forward_demodulation,[],[f984,f219])). 66.85/9.93 tff(f219,plain,( 66.85/9.93 ( ! [X0 : ty] : (0 = length(X0,nil(X0))) )), 66.85/9.93 inference(cnf_transformation,[],[f92])). 66.85/9.93 tff(f984,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : ($sum(1,length(X0,nil(X0))) = length(X0,labels(X0,leaf(X0,X1)))) )), 66.85/9.93 inference(superposition,[],[f218,f216])). 66.85/9.93 tff(f216,plain,( 66.85/9.93 ( ! [X3 : uni,X0 : ty] : (cons(X0,X3,nil(X0)) = labels(X0,leaf(X0,X3))) )), 66.85/9.93 inference(cnf_transformation,[],[f91])). 66.85/9.93 tff(f94436,plain,( 66.85/9.93 ~spl30_25 | spl30_77 | ~spl30_100), 66.85/9.93 inference(avatar_contradiction_clause,[],[f94435])). 66.85/9.93 tff(f94435,plain,( 66.85/9.93 $false | (~spl30_25 | spl30_77 | ~spl30_100)), 66.85/9.93 inference(subsumption_resolution,[],[f94434,f84561])). 66.85/9.93 tff(f84561,plain,( 66.85/9.93 nil(int) != cons_proj_2(int,sF29) | spl30_77), 66.85/9.93 inference(avatar_component_clause,[],[f84560])). 66.85/9.93 tff(f84560,plain,( 66.85/9.93 spl30_77 <=> nil(int) = cons_proj_2(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_77])])). 66.85/9.93 tff(f94434,plain,( 66.85/9.93 nil(int) = cons_proj_2(int,sF29) | (~spl30_25 | ~spl30_100)), 66.85/9.93 inference(forward_demodulation,[],[f94394,f496])). 66.85/9.93 tff(f94394,plain,( 66.85/9.93 nil(int) = cons_proj_2(int,labels(int,sF24)) | ~spl30_100), 66.85/9.93 inference(superposition,[],[f871,f94241])). 66.85/9.93 tff(f871,plain,( 66.85/9.93 ( ! [X2 : ty,X3 : uni] : (nil(X2) = cons_proj_2(X2,labels(X2,leaf(X2,X3)))) )), 66.85/9.93 inference(superposition,[],[f262,f216])). 66.85/9.93 tff(f262,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons_proj_2(X0,cons(X0,X1,X2)) = X2) )), 66.85/9.93 inference(cnf_transformation,[],[f1])). 66.85/9.93 tff(f1,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_2(X0,cons(X0,X1,X2)) = X2), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def)). 66.85/9.93 tff(f94242,plain,( 66.85/9.93 spl30_99 | spl30_100 | ~spl30_13), 66.85/9.93 inference(avatar_split_clause,[],[f5525,f416,f94239,f94235])). 66.85/9.93 tff(f5525,plain,( 66.85/9.93 sF24 = leaf(int,sK19(a1,int,sF21,sF24)) | sF24 = node(int,sK16(a1,int,sF21,sF24),sK17(a1,int,sF21,sF24)) | ~spl30_13), 66.85/9.93 inference(resolution,[],[f296,f418])). 66.85/9.93 tff(f296,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty] : (~same_shape(X1,X0,X2,X3) | leaf(X1,sK19(X0,X1,X2,X3)) = X3 | node(X1,sK16(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) = X3) )), 66.85/9.93 inference(cnf_transformation,[],[f182])). 66.85/9.93 tff(f93799,plain,( 66.85/9.93 spl30_57 | ~spl30_24 | ~spl30_97), 66.85/9.93 inference(avatar_split_clause,[],[f93792,f93596,f489,f45946])). 66.85/9.93 tff(f45946,plain,( 66.85/9.93 spl30_57 <=> 1 = length(int,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_57])])). 66.85/9.93 tff(f93792,plain,( 66.85/9.93 1 = length(int,sF28) | (~spl30_24 | ~spl30_97)), 66.85/9.93 inference(forward_demodulation,[],[f93752,f491])). 66.85/9.93 tff(f93752,plain,( 66.85/9.93 1 = length(int,labels(int,sF23)) | ~spl30_97), 66.85/9.93 inference(superposition,[],[f988,f93598])). 66.85/9.93 tff(f93598,plain,( 66.85/9.93 sF23 = leaf(int,sK19(a1,int,sF20,sF23)) | ~spl30_97), 66.85/9.93 inference(avatar_component_clause,[],[f93596])). 66.85/9.93 tff(f93798,plain,( 66.85/9.93 ~spl30_98 | ~spl30_27 | ~spl30_97), 66.85/9.93 inference(avatar_split_clause,[],[f93742,f93596,f511,f93795])). 66.85/9.93 tff(f93795,plain,( 66.85/9.93 spl30_98 <=> sF23 = sF25), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_98])])). 66.85/9.93 tff(f93742,plain,( 66.85/9.93 sF23 != sF25 | (~spl30_27 | ~spl30_97)), 66.85/9.93 inference(superposition,[],[f583,f93598])). 66.85/9.93 tff(f583,plain,( 66.85/9.93 ( ! [X1 : uni] : (sF25 != leaf(int,X1)) ) | ~spl30_27), 66.85/9.93 inference(superposition,[],[f278,f513])). 66.85/9.93 tff(f278,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (leaf(X0,X1) != node(X0,X2,X3)) )), 66.85/9.93 inference(cnf_transformation,[],[f123])). 66.85/9.93 tff(f123,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : leaf(X0,X1) != node(X0,X2,X3)), 66.85/9.93 inference(rectify,[],[f9])). 66.85/9.93 tff(f9,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni,X9 : uni,X10 : uni] : leaf(X0,X1) != node(X0,X9,X10)), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leaf_Node)). 66.85/9.93 tff(f93599,plain,( 66.85/9.93 spl30_96 | spl30_97 | ~spl30_12), 66.85/9.93 inference(avatar_split_clause,[],[f5524,f411,f93596,f93592])). 66.85/9.93 tff(f5524,plain,( 66.85/9.93 sF23 = leaf(int,sK19(a1,int,sF20,sF23)) | sF23 = node(int,sK16(a1,int,sF20,sF23),sK17(a1,int,sF20,sF23)) | ~spl30_12), 66.85/9.93 inference(resolution,[],[f296,f413])). 66.85/9.93 tff(f92362,plain,( 66.85/9.93 spl30_95 | ~spl30_71 | ~spl30_86 | ~spl30_91), 66.85/9.93 inference(avatar_split_clause,[],[f92217,f85277,f85076,f69860,f92359])). 66.85/9.93 tff(f85076,plain,( 66.85/9.93 spl30_86 <=> sK9(int,sF29) = cons_proj_1(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_86])])). 66.85/9.93 tff(f92217,plain,( 66.85/9.93 sF29 = cons(int,cons_proj_1(int,sF29),cons_proj_2(int,sF29)) | (~spl30_71 | ~spl30_86 | ~spl30_91)), 66.85/9.93 inference(forward_demodulation,[],[f85275,f85279])). 66.85/9.93 tff(f85275,plain,( 66.85/9.93 sF29 = cons(int,cons_proj_1(int,sF29),sK10(int,sF29)) | (~spl30_71 | ~spl30_86)), 66.85/9.93 inference(forward_demodulation,[],[f69862,f85078])). 66.85/9.93 tff(f85078,plain,( 66.85/9.93 sK9(int,sF29) = cons_proj_1(int,sF29) | ~spl30_86), 66.85/9.93 inference(avatar_component_clause,[],[f85076])). 66.85/9.93 tff(f92158,plain,( 66.85/9.93 spl30_77 | ~spl30_94), 66.85/9.93 inference(avatar_contradiction_clause,[],[f92157])). 66.85/9.93 tff(f92157,plain,( 66.85/9.93 $false | (spl30_77 | ~spl30_94)), 66.85/9.93 inference(subsumption_resolution,[],[f92155,f84561])). 66.85/9.93 tff(f92155,plain,( 66.85/9.93 nil(int) = cons_proj_2(int,sF29) | ~spl30_94), 66.85/9.93 inference(trivial_inequality_removal,[],[f85312])). 66.85/9.93 tff(f85312,plain,( 66.85/9.93 0 != 0 | nil(int) = cons_proj_2(int,sF29) | ~spl30_94), 66.85/9.93 inference(superposition,[],[f254,f85308])). 66.85/9.93 tff(f85308,plain,( 66.85/9.93 0 = length(int,cons_proj_2(int,sF29)) | ~spl30_94), 66.85/9.93 inference(avatar_component_clause,[],[f85306])). 66.85/9.93 tff(f85306,plain,( 66.85/9.93 spl30_94 <=> 0 = length(int,cons_proj_2(int,sF29))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_94])])). 66.85/9.93 tff(f254,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (0 != length(X0,X1) | nil(X0) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f174])). 66.85/9.93 tff(f174,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : ((0 = length(X0,X1) | nil(X0) != X1) & (nil(X0) = X1 | 0 != length(X0,X1)))), 66.85/9.93 inference(nnf_transformation,[],[f109])). 66.85/9.93 tff(f109,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (0 = length(X0,X1) <=> nil(X0) = X1)), 66.85/9.93 inference(rectify,[],[f54])). 66.85/9.93 tff(f54,axiom,( 66.85/9.93 ! [X0 : ty,X19 : uni] : (0 = length(X0,X19) <=> nil(X0) = X19)), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)). 66.85/9.93 tff(f85309,plain,( 66.85/9.93 spl30_94 | ~spl30_91 | ~spl30_92), 66.85/9.93 inference(avatar_split_clause,[],[f85304,f85282,f85277,f85306])). 66.85/9.93 tff(f85282,plain,( 66.85/9.93 spl30_92 <=> 0 = length(int,sK10(int,sF29))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_92])])). 66.85/9.93 tff(f85304,plain,( 66.85/9.93 0 = length(int,cons_proj_2(int,sF29)) | (~spl30_91 | ~spl30_92)), 66.85/9.93 inference(forward_demodulation,[],[f85284,f85279])). 66.85/9.93 tff(f85284,plain,( 66.85/9.93 0 = length(int,sK10(int,sF29)) | ~spl30_92), 66.85/9.93 inference(avatar_component_clause,[],[f85282])). 66.85/9.93 tff(f85301,plain,( 66.85/9.93 spl30_93 | ~spl30_4 | spl30_70 | spl30_72 | ~spl30_91), 66.85/9.93 inference(avatar_split_clause,[],[f85296,f85277,f69864,f69856,f367,f85298])). 66.85/9.93 tff(f85298,plain,( 66.85/9.93 spl30_93 <=> distinct(int,cons_proj_2(int,sF29))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_93])])). 66.85/9.93 tff(f69856,plain,( 66.85/9.93 spl30_70 <=> sF29 = labels(int,leaf(int,sK8(int,sF29)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_70])])). 66.85/9.93 tff(f69864,plain,( 66.85/9.93 spl30_72 <=> sF29 = nil(int)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_72])])). 66.85/9.93 tff(f85296,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF29)) | (~spl30_4 | spl30_70 | spl30_72 | ~spl30_91)), 66.85/9.93 inference(subsumption_resolution,[],[f85295,f369])). 66.85/9.93 tff(f85295,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF29)) | ~distinct(int,sF29) | (spl30_70 | spl30_72 | ~spl30_91)), 66.85/9.93 inference(subsumption_resolution,[],[f85294,f69857])). 66.85/9.93 tff(f69857,plain,( 66.85/9.93 sF29 != labels(int,leaf(int,sK8(int,sF29))) | spl30_70), 66.85/9.93 inference(avatar_component_clause,[],[f69856])). 66.85/9.93 tff(f85294,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF29)) | sF29 = labels(int,leaf(int,sK8(int,sF29))) | ~distinct(int,sF29) | (spl30_72 | ~spl30_91)), 66.85/9.93 inference(subsumption_resolution,[],[f85287,f69865])). 66.85/9.93 tff(f69865,plain,( 66.85/9.93 sF29 != nil(int) | spl30_72), 66.85/9.93 inference(avatar_component_clause,[],[f69864])). 66.85/9.93 tff(f85287,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF29)) | sF29 = nil(int) | sF29 = labels(int,leaf(int,sK8(int,sF29))) | ~distinct(int,sF29) | ~spl30_91), 66.85/9.93 inference(superposition,[],[f3512,f85279])). 66.85/9.93 tff(f3512,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (distinct(X0,sK10(X0,X1)) | nil(X0) = X1 | labels(X0,leaf(X0,sK8(X0,X1))) = X1 | ~distinct(X0,X1)) )), 66.85/9.93 inference(forward_demodulation,[],[f238,f216])). 66.85/9.93 tff(f238,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | cons(X0,sK8(X0,X1),nil(X0)) = X1 | distinct(X0,sK10(X0,X1)) | ~distinct(X0,X1)) )), 66.85/9.93 inference(cnf_transformation,[],[f171])). 66.85/9.93 tff(f171,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | (sort(X0,sK8(X0,X1)) & cons(X0,sK8(X0,X1),nil(X0)) = X1) | (sort(X0,sK9(X0,X1)) & sort(list(X0),sK10(X0,X1)) & ~mem(X0,sK9(X0,X1),sK10(X0,X1)) & distinct(X0,sK10(X0,X1)) & cons(X0,sK9(X0,X1),sK10(X0,X1)) = X1) | ~distinct(X0,X1))), 66.85/9.93 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f139,f170,f169])). 66.85/9.93 tff(f169,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) => (sort(X0,sK8(X0,X1)) & cons(X0,sK8(X0,X1),nil(X0)) = X1))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f170,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (? [X3 : uni,X4 : uni] : (sort(X0,X3) & sort(list(X0),X4) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1) => (sort(X0,sK9(X0,X1)) & sort(list(X0),sK10(X0,X1)) & ~mem(X0,sK9(X0,X1),sK10(X0,X1)) & distinct(X0,sK10(X0,X1)) & cons(X0,sK9(X0,X1),sK10(X0,X1)) = X1))), 66.85/9.93 introduced(choice_axiom,[])). 66.85/9.93 tff(f139,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | ? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) | ? [X3 : uni,X4 : uni] : (sort(X0,X3) & sort(list(X0),X4) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1) | ~distinct(X0,X1))), 66.85/9.93 inference(flattening,[],[f138])). 66.85/9.93 tff(f138,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : ((nil(X0) = X1 | ? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) | ? [X3 : uni,X4 : uni] : (sort(X0,X3) & sort(list(X0),X4) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1)) | ~distinct(X0,X1))), 66.85/9.93 inference(ennf_transformation,[],[f107])). 66.85/9.93 tff(f107,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (distinct(X0,X1) => (nil(X0) = X1 | ? [X2 : uni] : (sort(X0,X2) & cons(X0,X2,nil(X0)) = X1) | ? [X3 : uni,X4 : uni] : (sort(X0,X3) & sort(list(X0),X4) & ~mem(X0,X3,X4) & distinct(X0,X4) & cons(X0,X3,X4) = X1)))), 66.85/9.93 inference(rectify,[],[f21])). 66.85/9.93 tff(f21,axiom,( 66.85/9.93 ! [X0 : ty,X4 : uni] : (distinct(X0,X4) => (nil(X0) = X4 | ? [X6 : uni] : (sort(X0,X6) & cons(X0,X6,nil(X0)) = X4) | ? [X6 : uni,X19 : uni] : (sort(X0,X6) & sort(list(X0),X19) & ~mem(X0,X6,X19) & distinct(X0,X19) & cons(X0,X6,X19) = X4)))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_inversion)). 66.85/9.93 tff(f85285,plain,( 66.85/9.93 spl30_92 | ~spl30_71 | ~spl30_76), 66.85/9.93 inference(avatar_split_clause,[],[f85035,f77778,f69860,f85282])). 66.85/9.93 tff(f85035,plain,( 66.85/9.93 0 = length(int,sK10(int,sF29)) | (~spl30_71 | ~spl30_76)), 66.85/9.93 inference(cancellation,[],[f85034])). 66.85/9.93 tff(f85034,plain,( 66.85/9.93 1 = $sum(1,length(int,sK10(int,sF29))) | (~spl30_71 | ~spl30_76)), 66.85/9.93 inference(forward_demodulation,[],[f85004,f77780])). 66.85/9.93 tff(f77780,plain,( 66.85/9.93 1 = length(int,sF29) | ~spl30_76), 66.85/9.93 inference(avatar_component_clause,[],[f77778])). 66.85/9.93 tff(f85280,plain,( 66.85/9.93 spl30_91 | ~spl30_71), 66.85/9.93 inference(avatar_split_clause,[],[f85009,f69860,f85277])). 66.85/9.93 tff(f85009,plain,( 66.85/9.93 sK10(int,sF29) = cons_proj_2(int,sF29) | ~spl30_71), 66.85/9.93 inference(superposition,[],[f262,f69862])). 66.85/9.93 tff(f85274,plain,( 66.85/9.93 spl30_90 | ~spl30_71 | ~spl30_77 | ~spl30_86), 66.85/9.93 inference(avatar_split_clause,[],[f85109,f85076,f84560,f69860,f85271])). 66.85/9.93 tff(f85271,plain,( 66.85/9.93 spl30_90 <=> sF29 = cons(int,cons_proj_1(int,sF29),nil(int))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_90])])). 66.85/9.93 tff(f85109,plain,( 66.85/9.93 sF29 = cons(int,cons_proj_1(int,sF29),nil(int)) | (~spl30_71 | ~spl30_77 | ~spl30_86)), 66.85/9.93 inference(forward_demodulation,[],[f85042,f85078])). 66.85/9.93 tff(f85042,plain,( 66.85/9.93 sF29 = cons(int,sK9(int,sF29),nil(int)) | (~spl30_71 | ~spl30_77)), 66.85/9.93 inference(backward_demodulation,[],[f69862,f85040])). 66.85/9.93 tff(f85040,plain,( 66.85/9.93 nil(int) = sK10(int,sF29) | (~spl30_71 | ~spl30_77)), 66.85/9.93 inference(forward_demodulation,[],[f85009,f84562])). 66.85/9.93 tff(f84562,plain,( 66.85/9.93 nil(int) = cons_proj_2(int,sF29) | ~spl30_77), 66.85/9.93 inference(avatar_component_clause,[],[f84560])). 66.85/9.93 tff(f85099,plain,( 66.85/9.93 ~spl30_89 | spl30_88), 66.85/9.93 inference(avatar_split_clause,[],[f85093,f85088,f85095])). 66.85/9.93 tff(f85095,plain,( 66.85/9.93 spl30_89 <=> mem(int,cons_proj_1(int,sF29),sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_89])])). 66.85/9.93 tff(f85088,plain,( 66.85/9.93 spl30_88 <=> $less(sK3,tb2t3(cons_proj_1(int,sF29)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_88])])). 66.85/9.93 tff(f85093,plain,( 66.85/9.93 ~mem(int,cons_proj_1(int,sF29),sF28) | spl30_88), 66.85/9.93 inference(resolution,[],[f85090,f531])). 66.85/9.93 tff(f85090,plain,( 66.85/9.93 ~$less(sK3,tb2t3(cons_proj_1(int,sF29))) | spl30_88), 66.85/9.93 inference(avatar_component_clause,[],[f85088])). 66.85/9.93 tff(f85098,plain,( 66.85/9.93 ~spl30_89 | ~spl30_71 | spl30_85), 66.85/9.93 inference(avatar_split_clause,[],[f85072,f85066,f69860,f85095])). 66.85/9.93 tff(f85066,plain,( 66.85/9.93 spl30_85 <=> mem(int,sK9(int,sF29),sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_85])])). 66.85/9.93 tff(f85072,plain,( 66.85/9.93 ~mem(int,cons_proj_1(int,sF29),sF28) | (~spl30_71 | spl30_85)), 66.85/9.93 inference(backward_demodulation,[],[f85068,f85003])). 66.85/9.93 tff(f85003,plain,( 66.85/9.93 sK9(int,sF29) = cons_proj_1(int,sF29) | ~spl30_71), 66.85/9.93 inference(superposition,[],[f891,f69862])). 66.85/9.93 tff(f891,plain,( 66.85/9.93 ( ! [X31 : uni,X32 : uni] : (cons_proj_1(int,cons(int,X31,X32)) = X31) )), 66.85/9.93 inference(resolution,[],[f270,f451])). 66.85/9.93 tff(f451,plain,( 66.85/9.93 ( ! [X1 : uni] : (sort(int,X1)) )), 66.85/9.93 inference(superposition,[],[f203,f209])). 66.85/9.93 tff(f203,plain,( 66.85/9.93 ( ! [X0 : $int] : (sort(int,t2tb3(X0))) )), 66.85/9.93 inference(cnf_transformation,[],[f79])). 66.85/9.93 tff(f79,plain,( 66.85/9.93 ! [X0 : $int] : sort(int,t2tb3(X0))), 66.85/9.93 inference(rectify,[],[f25])). 66.85/9.93 tff(f25,axiom,( 66.85/9.93 ! [X6 : $int] : sort(int,t2tb3(X6))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort3)). 66.85/9.93 tff(f85068,plain,( 66.85/9.93 ~mem(int,sK9(int,sF29),sF28) | spl30_85), 66.85/9.93 inference(avatar_component_clause,[],[f85066])). 66.85/9.93 tff(f85092,plain,( 66.85/9.93 ~spl30_88 | ~spl30_87), 66.85/9.93 inference(avatar_split_clause,[],[f85085,f85081,f85088])). 66.85/9.93 tff(f85081,plain,( 66.85/9.93 spl30_87 <=> mem(int,cons_proj_1(int,sF29),sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_87])])). 66.85/9.93 tff(f85085,plain,( 66.85/9.93 ~$less(sK3,tb2t3(cons_proj_1(int,sF29))) | ~spl30_87), 66.85/9.93 inference(resolution,[],[f85083,f538])). 66.85/9.93 tff(f85083,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF29),sF29) | ~spl30_87), 66.85/9.93 inference(avatar_component_clause,[],[f85081])). 66.85/9.93 tff(f85091,plain,( 66.85/9.93 ~spl30_88 | ~spl30_71 | spl30_84), 66.85/9.93 inference(avatar_split_clause,[],[f85073,f85060,f69860,f85088])). 66.85/9.93 tff(f85060,plain,( 66.85/9.93 spl30_84 <=> $less(sK3,tb2t3(sK9(int,sF29)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_84])])). 66.85/9.93 tff(f85073,plain,( 66.85/9.93 ~$less(sK3,tb2t3(cons_proj_1(int,sF29))) | (~spl30_71 | spl30_84)), 66.85/9.93 inference(backward_demodulation,[],[f85062,f85003])). 66.85/9.93 tff(f85062,plain,( 66.85/9.93 ~$less(sK3,tb2t3(sK9(int,sF29))) | spl30_84), 66.85/9.93 inference(avatar_component_clause,[],[f85060])). 66.85/9.93 tff(f85084,plain,( 66.85/9.93 spl30_87 | ~spl30_71 | ~spl30_83), 66.85/9.93 inference(avatar_split_clause,[],[f85074,f85049,f69860,f85081])). 66.85/9.93 tff(f85049,plain,( 66.85/9.93 spl30_83 <=> mem(int,sK9(int,sF29),sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_83])])). 66.85/9.93 tff(f85074,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF29),sF29) | (~spl30_71 | ~spl30_83)), 66.85/9.93 inference(backward_demodulation,[],[f85051,f85003])). 66.85/9.93 tff(f85051,plain,( 66.85/9.93 mem(int,sK9(int,sF29),sF29) | ~spl30_83), 66.85/9.93 inference(avatar_component_clause,[],[f85049])). 66.85/9.93 tff(f85079,plain,( 66.85/9.93 spl30_86 | ~spl30_71), 66.85/9.93 inference(avatar_split_clause,[],[f85003,f69860,f85076])). 66.85/9.93 tff(f85069,plain,( 66.85/9.93 ~spl30_85 | spl30_84), 66.85/9.93 inference(avatar_split_clause,[],[f85064,f85060,f85066])). 66.85/9.93 tff(f85064,plain,( 66.85/9.93 ~mem(int,sK9(int,sF29),sF28) | spl30_84), 66.85/9.93 inference(resolution,[],[f85062,f531])). 66.85/9.93 tff(f85063,plain,( 66.85/9.93 ~spl30_84 | ~spl30_83), 66.85/9.93 inference(avatar_split_clause,[],[f85057,f85049,f85060])). 66.85/9.93 tff(f85057,plain,( 66.85/9.93 ~$less(sK3,tb2t3(sK9(int,sF29))) | ~spl30_83), 66.85/9.93 inference(resolution,[],[f85051,f538])). 66.85/9.93 tff(f85052,plain,( 66.85/9.93 spl30_83 | ~spl30_71), 66.85/9.93 inference(avatar_split_clause,[],[f85041,f69860,f85049])). 66.85/9.93 tff(f85041,plain,( 66.85/9.93 mem(int,sK9(int,sF29),sF29) | ~spl30_71), 66.85/9.93 inference(subsumption_resolution,[],[f85011,f451])). 66.85/9.93 tff(f85011,plain,( 66.85/9.93 mem(int,sK9(int,sF29),sF29) | ~sort(int,sK9(int,sF29)) | ~spl30_71), 66.85/9.93 inference(superposition,[],[f350,f69862])). 66.85/9.93 tff(f85047,plain,( 66.85/9.93 spl30_82 | ~spl30_71 | ~spl30_77), 66.85/9.93 inference(avatar_split_clause,[],[f85040,f84560,f69860,f85044])). 66.85/9.93 tff(f85044,plain,( 66.85/9.93 spl30_82 <=> nil(int) = sK10(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_82])])). 66.85/9.93 tff(f84611,plain,( 66.85/9.93 spl30_81 | ~spl30_70), 66.85/9.93 inference(avatar_split_clause,[],[f77753,f69856,f84608])). 66.85/9.93 tff(f84608,plain,( 66.85/9.93 spl30_81 <=> sK8(int,sF29) = cons_proj_1(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_81])])). 66.85/9.93 tff(f77753,plain,( 66.85/9.93 sK8(int,sF29) = cons_proj_1(int,sF29) | ~spl30_70), 66.85/9.93 inference(superposition,[],[f911,f69858])). 66.85/9.93 tff(f69858,plain,( 66.85/9.93 sF29 = labels(int,leaf(int,sK8(int,sF29))) | ~spl30_70), 66.85/9.93 inference(avatar_component_clause,[],[f69856])). 66.85/9.93 tff(f911,plain,( 66.85/9.93 ( ! [X0 : uni] : (cons_proj_1(int,labels(int,leaf(int,X0))) = X0) )), 66.85/9.93 inference(superposition,[],[f891,f216])). 66.85/9.93 tff(f84601,plain,( 66.85/9.93 ~spl30_80 | spl30_79), 66.85/9.93 inference(avatar_split_clause,[],[f84596,f84592,f84598])). 66.85/9.93 tff(f84598,plain,( 66.85/9.93 spl30_80 <=> mem(int,sK8(int,sF29),sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_80])])). 66.85/9.93 tff(f84592,plain,( 66.85/9.93 spl30_79 <=> $less(sK3,tb2t3(sK8(int,sF29)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_79])])). 66.85/9.93 tff(f84596,plain,( 66.85/9.93 ~mem(int,sK8(int,sF29),sF28) | spl30_79), 66.85/9.93 inference(resolution,[],[f84594,f531])). 66.85/9.93 tff(f84594,plain,( 66.85/9.93 ~$less(sK3,tb2t3(sK8(int,sF29))) | spl30_79), 66.85/9.93 inference(avatar_component_clause,[],[f84592])). 66.85/9.93 tff(f84595,plain,( 66.85/9.93 ~spl30_79 | ~spl30_78), 66.85/9.93 inference(avatar_split_clause,[],[f84589,f84565,f84592])). 66.85/9.93 tff(f84565,plain,( 66.85/9.93 spl30_78 <=> mem(int,sK8(int,sF29),sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_78])])). 66.85/9.93 tff(f84589,plain,( 66.85/9.93 ~$less(sK3,tb2t3(sK8(int,sF29))) | ~spl30_78), 66.85/9.93 inference(resolution,[],[f84567,f538])). 66.85/9.93 tff(f84567,plain,( 66.85/9.93 mem(int,sK8(int,sF29),sF29) | ~spl30_78), 66.85/9.93 inference(avatar_component_clause,[],[f84565])). 66.85/9.93 tff(f84568,plain,( 66.85/9.93 spl30_78 | ~spl30_70), 66.85/9.93 inference(avatar_split_clause,[],[f77775,f69856,f84565])). 66.85/9.93 tff(f77775,plain,( 66.85/9.93 mem(int,sK8(int,sF29),sF29) | ~spl30_70), 66.85/9.93 inference(subsumption_resolution,[],[f77758,f451])). 66.85/9.93 tff(f77758,plain,( 66.85/9.93 mem(int,sK8(int,sF29),sF29) | ~sort(int,sK8(int,sF29)) | ~spl30_70), 66.85/9.93 inference(superposition,[],[f349,f69858])). 66.85/9.93 tff(f349,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty] : (mem(X0,X2,labels(X0,leaf(X0,X2))) | ~sort(X0,X2)) )), 66.85/9.93 inference(duplicate_literal_removal,[],[f328])). 66.85/9.93 tff(f328,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty] : (mem(X0,X2,labels(X0,leaf(X0,X2))) | ~sort(X0,X2) | ~sort(X0,X2)) )), 66.85/9.93 inference(equality_resolution,[],[f271])). 66.85/9.93 tff(f271,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,labels(X0,leaf(X0,X2))) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 66.85/9.93 inference(cnf_transformation,[],[f177])). 66.85/9.93 tff(f177,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (((X1 = X2 | ~mem(X0,X1,labels(X0,leaf(X0,X2)))) & (mem(X0,X1,labels(X0,leaf(X0,X2))) | X1 != X2)) | ~sort(X0,X2) | ~sort(X0,X1))), 66.85/9.93 inference(nnf_transformation,[],[f152])). 66.85/9.93 tff(f152,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : ((X1 = X2 <=> mem(X0,X1,labels(X0,leaf(X0,X2)))) | ~sort(X0,X2) | ~sort(X0,X1))), 66.85/9.93 inference(flattening,[],[f151])). 66.85/9.93 tff(f151,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (((X1 = X2 <=> mem(X0,X1,labels(X0,leaf(X0,X2)))) | ~sort(X0,X2)) | ~sort(X0,X1))), 66.85/9.93 inference(ennf_transformation,[],[f119])). 66.85/9.93 tff(f119,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni] : (sort(X0,X1) => (sort(X0,X2) => (X1 = X2 <=> mem(X0,X1,labels(X0,leaf(X0,X2))))))), 66.85/9.93 inference(rectify,[],[f66])). 66.85/9.93 tff(f66,axiom,( 66.85/9.93 ! [X0 : ty,X6 : uni,X8 : uni] : (sort(X0,X6) => (sort(X0,X8) => (X6 = X8 <=> mem(X0,X6,labels(X0,leaf(X0,X8))))))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',labels_Leaf)). 66.85/9.93 tff(f84563,plain,( 66.85/9.93 spl30_77 | ~spl30_70), 66.85/9.93 inference(avatar_split_clause,[],[f77760,f69856,f84560])). 66.85/9.93 tff(f77760,plain,( 66.85/9.93 nil(int) = cons_proj_2(int,sF29) | ~spl30_70), 66.85/9.93 inference(superposition,[],[f871,f69858])). 66.85/9.93 tff(f77781,plain,( 66.85/9.93 spl30_76 | ~spl30_70), 66.85/9.93 inference(avatar_split_clause,[],[f77762,f69856,f77778])). 66.85/9.93 tff(f77762,plain,( 66.85/9.93 1 = length(int,sF29) | ~spl30_70), 66.85/9.93 inference(superposition,[],[f988,f69858])). 66.85/9.93 tff(f76612,plain,( 66.85/9.93 spl30_72 | ~spl30_74), 66.85/9.93 inference(avatar_contradiction_clause,[],[f76611])). 66.85/9.93 tff(f76611,plain,( 66.85/9.93 $false | (spl30_72 | ~spl30_74)), 66.85/9.93 inference(subsumption_resolution,[],[f76548,f69865])). 66.85/9.93 tff(f76548,plain,( 66.85/9.93 sF29 = nil(int) | ~spl30_74), 66.85/9.93 inference(trivial_inequality_removal,[],[f69922])). 66.85/9.93 tff(f69922,plain,( 66.85/9.93 0 != 0 | sF29 = nil(int) | ~spl30_74), 66.85/9.93 inference(superposition,[],[f254,f69919])). 66.85/9.93 tff(f69919,plain,( 66.85/9.93 0 = length(int,sF29) | ~spl30_74), 66.85/9.93 inference(avatar_component_clause,[],[f69917])). 66.85/9.93 tff(f69917,plain,( 66.85/9.93 spl30_74 <=> 0 = length(int,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_74])])). 66.85/9.93 tff(f76608,plain,( 66.85/9.93 ~spl30_3 | spl30_43 | ~spl30_45 | ~spl30_72), 66.85/9.93 inference(avatar_contradiction_clause,[],[f76607])). 66.85/9.93 tff(f76607,plain,( 66.85/9.93 $false | (~spl30_3 | spl30_43 | ~spl30_45 | ~spl30_72)), 66.85/9.93 inference(subsumption_resolution,[],[f76582,f1684])). 66.85/9.93 tff(f76582,plain,( 66.85/9.93 distinct(int,sF26) | (~spl30_3 | ~spl30_45 | ~spl30_72)), 66.85/9.93 inference(backward_demodulation,[],[f364,f76550])). 66.85/9.93 tff(f76550,plain,( 66.85/9.93 sF26 = sF28 | (~spl30_45 | ~spl30_72)), 66.85/9.93 inference(superposition,[],[f69875,f14355])). 66.85/9.93 tff(f69875,plain,( 66.85/9.93 ( ! [X1 : uni] : (infix_plpl(int,X1,sF29) = X1) ) | ~spl30_72), 66.85/9.93 inference(superposition,[],[f231,f69866])). 66.85/9.93 tff(f69866,plain,( 66.85/9.93 sF29 = nil(int) | ~spl30_72), 66.85/9.93 inference(avatar_component_clause,[],[f69864])). 66.85/9.93 tff(f231,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (infix_plpl(X0,X1,nil(X0)) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f104])). 66.85/9.93 tff(f104,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : infix_plpl(X0,X1,nil(X0)) = X1), 66.85/9.93 inference(rectify,[],[f36])). 66.85/9.93 tff(f36,axiom,( 66.85/9.93 ! [X0 : ty,X19 : uni] : infix_plpl(X0,X19,nil(X0)) = X19), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',append_l_nil)). 66.85/9.93 tff(f76606,plain,( 66.85/9.93 spl30_75 | ~spl30_45 | ~spl30_72), 66.85/9.93 inference(avatar_split_clause,[],[f76550,f69864,f14353,f76603])). 66.85/9.93 tff(f76603,plain,( 66.85/9.93 spl30_75 <=> sF26 = sF28), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_75])])). 66.85/9.93 tff(f69920,plain,( 66.85/9.93 spl30_74 | ~spl30_72), 66.85/9.93 inference(avatar_split_clause,[],[f69874,f69864,f69917])). 66.85/9.93 tff(f69874,plain,( 66.85/9.93 0 = length(int,sF29) | ~spl30_72), 66.85/9.93 inference(superposition,[],[f219,f69866])). 66.85/9.93 tff(f69907,plain,( 66.85/9.93 ~spl30_73 | spl30_54 | ~spl30_72), 66.85/9.93 inference(avatar_split_clause,[],[f69870,f69864,f45624,f69904])). 66.85/9.93 tff(f69904,plain,( 66.85/9.93 spl30_73 <=> sF28 = sF29), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_73])])). 66.85/9.93 tff(f69870,plain,( 66.85/9.93 sF28 != sF29 | (spl30_54 | ~spl30_72)), 66.85/9.93 inference(superposition,[],[f45625,f69866])). 66.85/9.93 tff(f69867,plain,( 66.85/9.93 spl30_70 | spl30_71 | spl30_72 | ~spl30_4), 66.85/9.93 inference(avatar_split_clause,[],[f5215,f367,f69864,f69860,f69856])). 66.85/9.93 tff(f5215,plain,( 66.85/9.93 sF29 = nil(int) | sF29 = cons(int,sK9(int,sF29),sK10(int,sF29)) | sF29 = labels(int,leaf(int,sK8(int,sF29))) | ~spl30_4), 66.85/9.93 inference(resolution,[],[f4873,f369])). 66.85/9.93 tff(f4873,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (~distinct(X0,X1) | nil(X0) = X1 | cons(X0,sK9(X0,X1),sK10(X0,X1)) = X1 | labels(X0,leaf(X0,sK8(X0,X1))) = X1) )), 66.85/9.93 inference(forward_demodulation,[],[f237,f216])). 66.85/9.93 tff(f237,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | cons(X0,sK8(X0,X1),nil(X0)) = X1 | cons(X0,sK9(X0,X1),sK10(X0,X1)) = X1 | ~distinct(X0,X1)) )), 66.85/9.93 inference(cnf_transformation,[],[f171])). 66.85/9.93 tff(f68187,plain,( 66.85/9.93 spl30_69 | ~spl30_53 | ~spl30_60 | ~spl30_66), 66.85/9.93 inference(avatar_split_clause,[],[f67901,f67785,f53197,f45620,f68043])). 66.85/9.93 tff(f45620,plain,( 66.85/9.93 spl30_53 <=> sF28 = cons(int,sK9(int,sF28),sK10(int,sF28))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_53])])). 66.85/9.93 tff(f53197,plain,( 66.85/9.93 spl30_60 <=> sK10(int,sF28) = cons_proj_2(int,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_60])])). 66.85/9.93 tff(f67901,plain,( 66.85/9.93 sF28 = cons(int,cons_proj_1(int,sF28),cons_proj_2(int,sF28)) | (~spl30_53 | ~spl30_60 | ~spl30_66)), 66.85/9.93 inference(forward_demodulation,[],[f67605,f67787])). 66.85/9.93 tff(f67605,plain,( 66.85/9.93 sF28 = cons(int,sK9(int,sF28),cons_proj_2(int,sF28)) | (~spl30_53 | ~spl30_60)), 66.85/9.93 inference(forward_demodulation,[],[f45622,f53199])). 66.85/9.93 tff(f53199,plain,( 66.85/9.93 sK10(int,sF28) = cons_proj_2(int,sF28) | ~spl30_60), 66.85/9.93 inference(avatar_component_clause,[],[f53197])). 66.85/9.93 tff(f45622,plain,( 66.85/9.93 sF28 = cons(int,sK9(int,sF28),sK10(int,sF28)) | ~spl30_53), 66.85/9.93 inference(avatar_component_clause,[],[f45620])). 66.85/9.93 tff(f68046,plain,( 66.85/9.93 spl30_69 | ~spl30_62), 66.85/9.93 inference(avatar_split_clause,[],[f67781,f59920,f68043])). 66.85/9.93 tff(f67781,plain,( 66.85/9.93 sF28 = cons(int,cons_proj_1(int,sF28),cons_proj_2(int,sF28)) | ~spl30_62), 66.85/9.93 inference(backward_demodulation,[],[f59922,f67747])). 66.85/9.93 tff(f67747,plain,( 66.85/9.93 sK9(int,sF28) = cons_proj_1(int,sF28) | ~spl30_62), 66.85/9.93 inference(superposition,[],[f891,f59922])). 66.85/9.93 tff(f67801,plain,( 66.85/9.93 ~spl30_68 | ~spl30_67), 66.85/9.93 inference(avatar_split_clause,[],[f67794,f67790,f67797])). 66.85/9.93 tff(f67794,plain,( 66.85/9.93 ~$less(sK5,tb2t3(cons_proj_1(int,sF28))) | ~spl30_67), 66.85/9.93 inference(resolution,[],[f67792,f520])). 66.85/9.93 tff(f67800,plain,( 66.85/9.93 ~spl30_68 | spl30_59 | ~spl30_62), 66.85/9.93 inference(avatar_split_clause,[],[f67783,f59920,f52036,f67797])). 66.85/9.93 tff(f52036,plain,( 66.85/9.93 spl30_59 <=> $less(sK5,tb2t3(sK9(int,sF28)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_59])])). 66.85/9.93 tff(f67783,plain,( 66.85/9.93 ~$less(sK5,tb2t3(cons_proj_1(int,sF28))) | (spl30_59 | ~spl30_62)), 66.85/9.93 inference(backward_demodulation,[],[f52038,f67747])). 66.85/9.93 tff(f52038,plain,( 66.85/9.93 ~$less(sK5,tb2t3(sK9(int,sF28))) | spl30_59), 66.85/9.93 inference(avatar_component_clause,[],[f52036])). 66.85/9.93 tff(f67793,plain,( 66.85/9.93 spl30_67 | ~spl30_56 | ~spl30_62), 66.85/9.93 inference(avatar_split_clause,[],[f67782,f59920,f45779,f67790])). 66.85/9.93 tff(f45779,plain,( 66.85/9.93 spl30_56 <=> mem(int,sK9(int,sF28),sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_56])])). 66.85/9.93 tff(f67782,plain,( 66.85/9.93 mem(int,cons_proj_1(int,sF28),sF28) | (~spl30_56 | ~spl30_62)), 66.85/9.93 inference(backward_demodulation,[],[f45781,f67747])). 66.85/9.93 tff(f45781,plain,( 66.85/9.93 mem(int,sK9(int,sF28),sF28) | ~spl30_56), 66.85/9.93 inference(avatar_component_clause,[],[f45779])). 66.85/9.93 tff(f67788,plain,( 66.85/9.93 spl30_66 | ~spl30_62), 66.85/9.93 inference(avatar_split_clause,[],[f67747,f59920,f67785])). 66.85/9.93 tff(f66607,plain,( 66.85/9.93 spl30_65 | ~spl30_3 | spl30_52 | spl30_54 | ~spl30_60), 66.85/9.93 inference(avatar_split_clause,[],[f66602,f53197,f45624,f45616,f362,f66604])). 66.85/9.93 tff(f66604,plain,( 66.85/9.93 spl30_65 <=> distinct(int,cons_proj_2(int,sF28))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_65])])). 66.85/9.93 tff(f45616,plain,( 66.85/9.93 spl30_52 <=> sF28 = labels(int,leaf(int,sK8(int,sF28)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_52])])). 66.85/9.93 tff(f66602,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF28)) | (~spl30_3 | spl30_52 | spl30_54 | ~spl30_60)), 66.85/9.93 inference(subsumption_resolution,[],[f66601,f364])). 66.85/9.93 tff(f66601,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF28)) | ~distinct(int,sF28) | (spl30_52 | spl30_54 | ~spl30_60)), 66.85/9.93 inference(subsumption_resolution,[],[f66600,f45617])). 66.85/9.93 tff(f45617,plain,( 66.85/9.93 sF28 != labels(int,leaf(int,sK8(int,sF28))) | spl30_52), 66.85/9.93 inference(avatar_component_clause,[],[f45616])). 66.85/9.93 tff(f66600,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF28)) | sF28 = labels(int,leaf(int,sK8(int,sF28))) | ~distinct(int,sF28) | (spl30_54 | ~spl30_60)), 66.85/9.93 inference(subsumption_resolution,[],[f66594,f45625])). 66.85/9.93 tff(f66594,plain,( 66.85/9.93 distinct(int,cons_proj_2(int,sF28)) | sF28 = nil(int) | sF28 = labels(int,leaf(int,sK8(int,sF28))) | ~distinct(int,sF28) | ~spl30_60), 66.85/9.93 inference(superposition,[],[f3512,f53199])). 66.85/9.93 tff(f66549,plain,( 66.85/9.93 spl30_42 | spl30_28 | ~spl30_32 | ~spl30_43 | ~spl30_44), 66.85/9.93 inference(avatar_split_clause,[],[f66548,f1686,f1682,f547,f522,f1678])). 66.85/9.93 tff(f1678,plain,( 66.85/9.93 spl30_42 <=> $less(sK5,sK0)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_42])])). 66.85/9.93 tff(f522,plain,( 66.85/9.93 spl30_28 <=> $less(sK5,sK7)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_28])])). 66.85/9.93 tff(f547,plain,( 66.85/9.93 spl30_32 <=> $less(sK0,sK7)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_32])])). 66.85/9.93 tff(f1686,plain,( 66.85/9.93 spl30_44 <=> same_shape(int,a1,sF22,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_44])])). 66.85/9.93 tff(f66548,plain,( 66.85/9.93 $less(sK5,sK0) | (spl30_28 | ~spl30_32 | ~spl30_43 | ~spl30_44)), 66.85/9.93 inference(subsumption_resolution,[],[f66547,f549])). 66.85/9.93 tff(f549,plain,( 66.85/9.93 $less(sK0,sK7) | ~spl30_32), 66.85/9.93 inference(avatar_component_clause,[],[f547])). 66.85/9.93 tff(f66547,plain,( 66.85/9.93 $less(sK5,sK0) | ~$less(sK0,sK7) | (spl30_28 | ~spl30_43 | ~spl30_44)), 66.85/9.93 inference(subsumption_resolution,[],[f59925,f1683])). 66.85/9.93 tff(f1683,plain,( 66.85/9.93 distinct(int,sF26) | ~spl30_43), 66.85/9.93 inference(avatar_component_clause,[],[f1682])). 66.85/9.93 tff(f59925,plain,( 66.85/9.93 ~distinct(int,sF26) | $less(sK5,sK0) | ~$less(sK0,sK7) | (spl30_28 | ~spl30_44)), 66.85/9.93 inference(subsumption_resolution,[],[f59924,f524])). 66.85/9.93 tff(f524,plain,( 66.85/9.93 ~$less(sK5,sK7) | spl30_28), 66.85/9.93 inference(avatar_component_clause,[],[f522])). 66.85/9.93 tff(f59924,plain,( 66.85/9.93 ~distinct(int,sF26) | $less(sK5,sK0) | ~$less(sK0,sK7) | $less(sK5,sK7) | ~spl30_44), 66.85/9.93 inference(subsumption_resolution,[],[f336,f1687])). 66.85/9.93 tff(f1687,plain,( 66.85/9.93 same_shape(int,a1,sF22,sF25) | ~spl30_44), 66.85/9.93 inference(avatar_component_clause,[],[f1686])). 66.85/9.93 tff(f336,plain,( 66.85/9.93 ~same_shape(int,a1,sF22,sF25) | ~distinct(int,sF26) | $less(sK5,sK0) | ~$less(sK0,sK7) | $less(sK5,sK7)), 66.85/9.93 inference(definition_folding,[],[f198,f335,f334,f333,f332,f334,f333,f332,f331,f330,f329])). 66.85/9.93 tff(f329,plain,( 66.85/9.93 t2tb2(sK1) = sF20), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f330,plain,( 66.85/9.93 t2tb2(sK2) = sF21), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f331,plain,( 66.85/9.93 node(a1,sF20,sF21) = sF22), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f334,plain,( 66.85/9.93 node(int,sF23,sF24) = sF25), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f335,plain,( 66.85/9.93 labels(int,sF25) = sF26), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f198,plain,( 66.85/9.93 ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4))) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | $less(sK5,sK0) | ~$less(sK0,sK7) | $less(sK5,sK7)), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f66152,plain,( 66.85/9.93 spl30_64 | ~spl30_45 | ~spl30_58), 66.85/9.93 inference(avatar_split_clause,[],[f59934,f51984,f14353,f66149])). 66.85/9.93 tff(f66149,plain,( 66.85/9.93 spl30_64 <=> sF26 = infix_plpl(int,sF28,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_64])])). 66.85/9.93 tff(f51984,plain,( 66.85/9.93 spl30_58 <=> sF26 = sF29), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_58])])). 66.85/9.93 tff(f59934,plain,( 66.85/9.93 sF26 = infix_plpl(int,sF28,sF26) | (~spl30_45 | ~spl30_58)), 66.85/9.93 inference(backward_demodulation,[],[f14355,f51986])). 66.85/9.93 tff(f51986,plain,( 66.85/9.93 sF26 = sF29 | ~spl30_58), 66.85/9.93 inference(avatar_component_clause,[],[f51984])). 66.85/9.93 tff(f59982,plain,( 66.85/9.93 spl30_63 | ~spl30_25 | ~spl30_58), 66.85/9.93 inference(avatar_split_clause,[],[f59930,f51984,f494,f59979])). 66.85/9.93 tff(f59979,plain,( 66.85/9.93 spl30_63 <=> sF26 = labels(int,sF24)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_63])])). 66.85/9.93 tff(f59930,plain,( 66.85/9.93 sF26 = labels(int,sF24) | (~spl30_25 | ~spl30_58)), 66.85/9.93 inference(backward_demodulation,[],[f496,f51986])). 66.85/9.93 tff(f59923,plain,( 66.85/9.93 spl30_62 | ~spl30_53 | ~spl30_60), 66.85/9.93 inference(avatar_split_clause,[],[f59758,f53197,f45620,f59920])). 66.85/9.93 tff(f59758,plain,( 66.85/9.93 sF28 = cons(int,sK9(int,sF28),cons_proj_2(int,sF28)) | (~spl30_53 | ~spl30_60)), 66.85/9.93 inference(forward_demodulation,[],[f45622,f53199])). 66.85/9.93 tff(f59445,plain,( 66.85/9.93 spl30_61 | ~spl30_52), 66.85/9.93 inference(avatar_split_clause,[],[f59425,f45616,f59442])). 66.85/9.93 tff(f59442,plain,( 66.85/9.93 spl30_61 <=> nil(int) = cons_proj_2(int,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_61])])). 66.85/9.93 tff(f59425,plain,( 66.85/9.93 nil(int) = cons_proj_2(int,sF28) | ~spl30_52), 66.85/9.93 inference(superposition,[],[f871,f45618])). 66.85/9.93 tff(f45618,plain,( 66.85/9.93 sF28 = labels(int,leaf(int,sK8(int,sF28))) | ~spl30_52), 66.85/9.93 inference(avatar_component_clause,[],[f45616])). 66.85/9.93 tff(f53200,plain,( 66.85/9.93 spl30_60 | ~spl30_53), 66.85/9.93 inference(avatar_split_clause,[],[f53166,f45620,f53197])). 66.85/9.93 tff(f53166,plain,( 66.85/9.93 sK10(int,sF28) = cons_proj_2(int,sF28) | ~spl30_53), 66.85/9.93 inference(superposition,[],[f262,f45622])). 66.85/9.93 tff(f52039,plain,( 66.85/9.93 ~spl30_59 | ~spl30_56), 66.85/9.93 inference(avatar_split_clause,[],[f52014,f45779,f52036])). 66.85/9.93 tff(f52014,plain,( 66.85/9.93 ~$less(sK5,tb2t3(sK9(int,sF28))) | ~spl30_56), 66.85/9.93 inference(resolution,[],[f45781,f520])). 66.85/9.93 tff(f51993,plain,( 66.85/9.93 spl30_54 | ~spl30_55), 66.85/9.93 inference(avatar_contradiction_clause,[],[f51992])). 66.85/9.93 tff(f51992,plain,( 66.85/9.93 $false | (spl30_54 | ~spl30_55)), 66.85/9.93 inference(subsumption_resolution,[],[f51910,f45625])). 66.85/9.93 tff(f51910,plain,( 66.85/9.93 sF28 = nil(int) | ~spl30_55), 66.85/9.93 inference(trivial_inequality_removal,[],[f45992])). 66.85/9.93 tff(f45992,plain,( 66.85/9.93 0 != 0 | sF28 = nil(int) | ~spl30_55), 66.85/9.93 inference(superposition,[],[f254,f45677])). 66.85/9.93 tff(f45677,plain,( 66.85/9.93 0 = length(int,sF28) | ~spl30_55), 66.85/9.93 inference(avatar_component_clause,[],[f45675])). 66.85/9.93 tff(f45675,plain,( 66.85/9.93 spl30_55 <=> 0 = length(int,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_55])])). 66.85/9.93 tff(f51989,plain,( 66.85/9.93 ~spl30_4 | spl30_43 | ~spl30_45 | ~spl30_54), 66.85/9.93 inference(avatar_contradiction_clause,[],[f51988])). 66.85/9.93 tff(f51988,plain,( 66.85/9.93 $false | (~spl30_4 | spl30_43 | ~spl30_45 | ~spl30_54)), 66.85/9.93 inference(subsumption_resolution,[],[f51973,f1684])). 66.85/9.93 tff(f51973,plain,( 66.85/9.93 distinct(int,sF26) | (~spl30_4 | ~spl30_45 | ~spl30_54)), 66.85/9.93 inference(backward_demodulation,[],[f369,f51941])). 66.85/9.93 tff(f51941,plain,( 66.85/9.93 sF26 = sF29 | (~spl30_45 | ~spl30_54)), 66.85/9.93 inference(superposition,[],[f45957,f14355])). 66.85/9.93 tff(f45957,plain,( 66.85/9.93 ( ! [X2 : uni] : (infix_plpl(int,sF28,X2) = X2) ) | ~spl30_54), 66.85/9.93 inference(superposition,[],[f234,f45626])). 66.85/9.93 tff(f45626,plain,( 66.85/9.93 sF28 = nil(int) | ~spl30_54), 66.85/9.93 inference(avatar_component_clause,[],[f45624])). 66.85/9.93 tff(f234,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f106])). 66.85/9.93 tff(f51987,plain,( 66.85/9.93 spl30_58 | ~spl30_45 | ~spl30_54), 66.85/9.93 inference(avatar_split_clause,[],[f51941,f45624,f14353,f51984])). 66.85/9.93 tff(f45949,plain,( 66.85/9.93 spl30_57 | ~spl30_52), 66.85/9.93 inference(avatar_split_clause,[],[f45928,f45616,f45946])). 66.85/9.93 tff(f45928,plain,( 66.85/9.93 1 = length(int,sF28) | ~spl30_52), 66.85/9.93 inference(superposition,[],[f988,f45618])). 66.85/9.93 tff(f45782,plain,( 66.85/9.93 spl30_56 | ~spl30_53), 66.85/9.93 inference(avatar_split_clause,[],[f45777,f45620,f45779])). 66.85/9.93 tff(f45777,plain,( 66.85/9.93 mem(int,sK9(int,sF28),sF28) | ~spl30_53), 66.85/9.93 inference(subsumption_resolution,[],[f45750,f451])). 66.85/9.93 tff(f45750,plain,( 66.85/9.93 mem(int,sK9(int,sF28),sF28) | ~sort(int,sK9(int,sF28)) | ~spl30_53), 66.85/9.93 inference(superposition,[],[f350,f45622])). 66.85/9.93 tff(f45678,plain,( 66.85/9.93 spl30_55 | ~spl30_54), 66.85/9.93 inference(avatar_split_clause,[],[f45638,f45624,f45675])). 66.85/9.93 tff(f45638,plain,( 66.85/9.93 0 = length(int,sF28) | ~spl30_54), 66.85/9.93 inference(superposition,[],[f219,f45626])). 66.85/9.93 tff(f45627,plain,( 66.85/9.93 spl30_52 | spl30_53 | spl30_54 | ~spl30_3), 66.85/9.93 inference(avatar_split_clause,[],[f5214,f362,f45624,f45620,f45616])). 66.85/9.93 tff(f5214,plain,( 66.85/9.93 sF28 = nil(int) | sF28 = cons(int,sK9(int,sF28),sK10(int,sF28)) | sF28 = labels(int,leaf(int,sK8(int,sF28))) | ~spl30_3), 66.85/9.93 inference(resolution,[],[f4873,f364])). 66.85/9.93 tff(f24731,plain,( 66.85/9.93 spl30_51 | ~spl30_36 | ~spl30_47), 66.85/9.93 inference(avatar_split_clause,[],[f24717,f24313,f575,f24728])). 66.85/9.93 tff(f24728,plain,( 66.85/9.93 spl30_51 <=> sF23 = sK16(a1,int,sF22,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_51])])). 66.85/9.93 tff(f575,plain,( 66.85/9.93 spl30_36 <=> sF23 = node_proj_1(int,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_36])])). 66.85/9.93 tff(f24313,plain,( 66.85/9.93 spl30_47 <=> sF25 = node(int,sK16(a1,int,sF22,sF25),sK17(a1,int,sF22,sF25))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_47])])). 66.85/9.93 tff(f24717,plain,( 66.85/9.93 sF23 = sK16(a1,int,sF22,sF25) | (~spl30_36 | ~spl30_47)), 66.85/9.93 inference(forward_demodulation,[],[f24687,f577])). 66.85/9.93 tff(f577,plain,( 66.85/9.93 sF23 = node_proj_1(int,sF25) | ~spl30_36), 66.85/9.93 inference(avatar_component_clause,[],[f575])). 66.85/9.93 tff(f24687,plain,( 66.85/9.93 node_proj_1(int,sF25) = sK16(a1,int,sF22,sF25) | ~spl30_47), 66.85/9.93 inference(superposition,[],[f261,f24315])). 66.85/9.93 tff(f24315,plain,( 66.85/9.93 sF25 = node(int,sK16(a1,int,sF22,sF25),sK17(a1,int,sF22,sF25)) | ~spl30_47), 66.85/9.93 inference(avatar_component_clause,[],[f24313])). 66.85/9.93 tff(f24726,plain,( 66.85/9.93 spl30_50 | ~spl30_34 | ~spl30_47), 66.85/9.93 inference(avatar_split_clause,[],[f24716,f24313,f560,f24723])). 66.85/9.93 tff(f24723,plain,( 66.85/9.93 spl30_50 <=> sF24 = sK17(a1,int,sF22,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_50])])). 66.85/9.93 tff(f560,plain,( 66.85/9.93 spl30_34 <=> sF24 = node_proj_2(int,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_34])])). 66.85/9.93 tff(f24716,plain,( 66.85/9.93 sF24 = sK17(a1,int,sF22,sF25) | (~spl30_34 | ~spl30_47)), 66.85/9.93 inference(forward_demodulation,[],[f24686,f562])). 66.85/9.93 tff(f562,plain,( 66.85/9.93 sF24 = node_proj_2(int,sF25) | ~spl30_34), 66.85/9.93 inference(avatar_component_clause,[],[f560])). 66.85/9.93 tff(f24686,plain,( 66.85/9.93 node_proj_2(int,sF25) = sK17(a1,int,sF22,sF25) | ~spl30_47), 66.85/9.93 inference(superposition,[],[f260,f24315])). 66.85/9.93 tff(f24521,plain,( 66.85/9.93 spl30_49 | ~spl30_35 | ~spl30_46), 66.85/9.93 inference(avatar_split_clause,[],[f24510,f24147,f570,f24518])). 66.85/9.93 tff(f24518,plain,( 66.85/9.93 spl30_49 <=> sF20 = sK14(a1,int,sF22,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_49])])). 66.85/9.93 tff(f570,plain,( 66.85/9.93 spl30_35 <=> sF20 = node_proj_1(a1,sF22)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_35])])). 66.85/9.93 tff(f24147,plain,( 66.85/9.93 spl30_46 <=> sF22 = node(a1,sK14(a1,int,sF22,sF25),sK15(a1,int,sF22,sF25))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_46])])). 66.85/9.93 tff(f24510,plain,( 66.85/9.93 sF20 = sK14(a1,int,sF22,sF25) | (~spl30_35 | ~spl30_46)), 66.85/9.93 inference(forward_demodulation,[],[f24480,f572])). 66.85/9.93 tff(f572,plain,( 66.85/9.93 sF20 = node_proj_1(a1,sF22) | ~spl30_35), 66.85/9.93 inference(avatar_component_clause,[],[f570])). 66.85/9.93 tff(f24480,plain,( 66.85/9.93 node_proj_1(a1,sF22) = sK14(a1,int,sF22,sF25) | ~spl30_46), 66.85/9.93 inference(superposition,[],[f261,f24149])). 66.85/9.93 tff(f24149,plain,( 66.85/9.93 sF22 = node(a1,sK14(a1,int,sF22,sF25),sK15(a1,int,sF22,sF25)) | ~spl30_46), 66.85/9.93 inference(avatar_component_clause,[],[f24147])). 66.85/9.93 tff(f24516,plain,( 66.85/9.93 spl30_48 | ~spl30_33 | ~spl30_46), 66.85/9.93 inference(avatar_split_clause,[],[f24509,f24147,f555,f24513])). 66.85/9.93 tff(f24513,plain,( 66.85/9.93 spl30_48 <=> sF21 = sK15(a1,int,sF22,sF25)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_48])])). 66.85/9.93 tff(f555,plain,( 66.85/9.93 spl30_33 <=> sF21 = node_proj_2(a1,sF22)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_33])])). 66.85/9.93 tff(f24509,plain,( 66.85/9.93 sF21 = sK15(a1,int,sF22,sF25) | (~spl30_33 | ~spl30_46)), 66.85/9.93 inference(forward_demodulation,[],[f24479,f557])). 66.85/9.93 tff(f557,plain,( 66.85/9.93 sF21 = node_proj_2(a1,sF22) | ~spl30_33), 66.85/9.93 inference(avatar_component_clause,[],[f555])). 66.85/9.93 tff(f24479,plain,( 66.85/9.93 node_proj_2(a1,sF22) = sK15(a1,int,sF22,sF25) | ~spl30_46), 66.85/9.93 inference(superposition,[],[f260,f24149])). 66.85/9.93 tff(f24397,plain,( 66.85/9.93 spl30_47 | ~spl30_27 | ~spl30_44), 66.85/9.93 inference(avatar_split_clause,[],[f24073,f1686,f511,f24313])). 66.85/9.93 tff(f24073,plain,( 66.85/9.93 sF25 = node(int,sK16(a1,int,sF22,sF25),sK17(a1,int,sF22,sF25)) | (~spl30_27 | ~spl30_44)), 66.85/9.93 inference(subsumption_resolution,[],[f24069,f583])). 66.85/9.93 tff(f24069,plain,( 66.85/9.93 sF25 = leaf(int,sK19(a1,int,sF22,sF25)) | sF25 = node(int,sK16(a1,int,sF22,sF25),sK17(a1,int,sF22,sF25)) | ~spl30_44), 66.85/9.93 inference(resolution,[],[f1687,f296])). 66.85/9.93 tff(f24316,plain,( 66.85/9.93 spl30_47 | ~spl30_26 | ~spl30_44), 66.85/9.93 inference(avatar_split_clause,[],[f24072,f1686,f506,f24313])). 66.85/9.93 tff(f24072,plain,( 66.85/9.93 sF25 = node(int,sK16(a1,int,sF22,sF25),sK17(a1,int,sF22,sF25)) | (~spl30_26 | ~spl30_44)), 66.85/9.93 inference(subsumption_resolution,[],[f24068,f582])). 66.85/9.93 tff(f582,plain,( 66.85/9.93 ( ! [X0 : uni] : (sF22 != leaf(a1,X0)) ) | ~spl30_26), 66.85/9.93 inference(superposition,[],[f278,f508])). 66.85/9.93 tff(f24068,plain,( 66.85/9.93 sF22 = leaf(a1,sK18(a1,int,sF22,sF25)) | sF25 = node(int,sK16(a1,int,sF22,sF25),sK17(a1,int,sF22,sF25)) | ~spl30_44), 66.85/9.93 inference(resolution,[],[f1687,f297])). 66.85/9.93 tff(f297,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty] : (~same_shape(X1,X0,X2,X3) | leaf(X0,sK18(X0,X1,X2,X3)) = X2 | node(X1,sK16(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) = X3) )), 66.85/9.93 inference(cnf_transformation,[],[f182])). 66.85/9.93 tff(f24231,plain,( 66.85/9.93 spl30_46 | ~spl30_27 | ~spl30_44), 66.85/9.93 inference(avatar_split_clause,[],[f24071,f1686,f511,f24147])). 66.85/9.93 tff(f24071,plain,( 66.85/9.93 sF22 = node(a1,sK14(a1,int,sF22,sF25),sK15(a1,int,sF22,sF25)) | (~spl30_27 | ~spl30_44)), 66.85/9.93 inference(subsumption_resolution,[],[f24067,f583])). 66.85/9.93 tff(f24067,plain,( 66.85/9.93 sF25 = leaf(int,sK19(a1,int,sF22,sF25)) | sF22 = node(a1,sK14(a1,int,sF22,sF25),sK15(a1,int,sF22,sF25)) | ~spl30_44), 66.85/9.93 inference(resolution,[],[f1687,f300])). 66.85/9.93 tff(f24150,plain,( 66.85/9.93 spl30_46 | ~spl30_26 | ~spl30_44), 66.85/9.93 inference(avatar_split_clause,[],[f24070,f1686,f506,f24147])). 66.85/9.93 tff(f24070,plain,( 66.85/9.93 sF22 = node(a1,sK14(a1,int,sF22,sF25),sK15(a1,int,sF22,sF25)) | (~spl30_26 | ~spl30_44)), 66.85/9.93 inference(subsumption_resolution,[],[f24066,f582])). 66.85/9.93 tff(f24066,plain,( 66.85/9.93 sF22 = leaf(a1,sK18(a1,int,sF22,sF25)) | sF22 = node(a1,sK14(a1,int,sF22,sF25),sK15(a1,int,sF22,sF25)) | ~spl30_44), 66.85/9.93 inference(resolution,[],[f1687,f301])). 66.85/9.93 tff(f301,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty] : (~same_shape(X1,X0,X2,X3) | leaf(X0,sK18(X0,X1,X2,X3)) = X2 | node(X0,sK14(X0,X1,X2,X3),sK15(X0,X1,X2,X3)) = X2) )), 66.85/9.93 inference(cnf_transformation,[],[f182])). 66.85/9.93 tff(f24065,plain,( 66.85/9.93 spl30_44 | ~spl30_12 | ~spl30_13 | ~spl30_26 | ~spl30_27), 66.85/9.93 inference(avatar_split_clause,[],[f24064,f511,f506,f416,f411,f1686])). 66.85/9.93 tff(f24064,plain,( 66.85/9.93 same_shape(int,a1,sF22,sF25) | (~spl30_12 | ~spl30_13 | ~spl30_26 | ~spl30_27)), 66.85/9.93 inference(subsumption_resolution,[],[f24063,f413])). 66.85/9.93 tff(f24063,plain,( 66.85/9.93 same_shape(int,a1,sF22,sF25) | ~same_shape(int,a1,sF20,sF23) | (~spl30_13 | ~spl30_26 | ~spl30_27)), 66.85/9.93 inference(subsumption_resolution,[],[f24057,f418])). 66.85/9.93 tff(f24057,plain,( 66.85/9.93 same_shape(int,a1,sF22,sF25) | ~same_shape(int,a1,sF21,sF24) | ~same_shape(int,a1,sF20,sF23) | (~spl30_26 | ~spl30_27)), 66.85/9.93 inference(superposition,[],[f3705,f513])). 66.85/9.93 tff(f14356,plain,( 66.85/9.93 spl30_45 | ~spl30_23 | ~spl30_24 | ~spl30_25 | ~spl30_27), 66.85/9.93 inference(avatar_split_clause,[],[f14351,f511,f494,f489,f484,f14353])). 66.85/9.93 tff(f14351,plain,( 66.85/9.93 sF26 = infix_plpl(int,sF28,sF29) | (~spl30_23 | ~spl30_24 | ~spl30_25 | ~spl30_27)), 66.85/9.93 inference(forward_demodulation,[],[f14350,f486])). 66.85/9.93 tff(f14350,plain,( 66.85/9.93 labels(int,sF25) = infix_plpl(int,sF28,sF29) | (~spl30_24 | ~spl30_25 | ~spl30_27)), 66.85/9.93 inference(forward_demodulation,[],[f14343,f513])). 66.85/9.93 tff(f14343,plain,( 66.85/9.93 labels(int,node(int,sF23,sF24)) = infix_plpl(int,sF28,sF29) | (~spl30_24 | ~spl30_25)), 66.85/9.93 inference(superposition,[],[f1748,f496])). 66.85/9.93 tff(f11982,plain,( 66.85/9.93 ~spl30_41 | ~spl30_23 | ~spl30_24 | ~spl30_25 | ~spl30_27 | spl30_29 | spl30_31), 66.85/9.93 inference(avatar_split_clause,[],[f11981,f540,f526,f511,f494,f489,f484,f1674])). 66.85/9.93 tff(f1674,plain,( 66.85/9.93 spl30_41 <=> mem(int,sF27,sF26)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_41])])). 66.85/9.93 tff(f526,plain,( 66.85/9.93 spl30_29 <=> mem(int,sF27,sF28)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_29])])). 66.85/9.93 tff(f540,plain,( 66.85/9.93 spl30_31 <=> mem(int,sF27,sF29)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_31])])). 66.85/9.93 tff(f11981,plain,( 66.85/9.93 ~mem(int,sF27,sF26) | (~spl30_23 | ~spl30_24 | ~spl30_25 | ~spl30_27 | spl30_29 | spl30_31)), 66.85/9.93 inference(subsumption_resolution,[],[f11978,f528])). 66.85/9.93 tff(f528,plain,( 66.85/9.93 ~mem(int,sF27,sF28) | spl30_29), 66.85/9.93 inference(avatar_component_clause,[],[f526])). 66.85/9.93 tff(f11978,plain,( 66.85/9.93 mem(int,sF27,sF28) | ~mem(int,sF27,sF26) | (~spl30_23 | ~spl30_24 | ~spl30_25 | ~spl30_27 | spl30_31)), 66.85/9.93 inference(resolution,[],[f3644,f542])). 66.85/9.93 tff(f542,plain,( 66.85/9.93 ~mem(int,sF27,sF29) | spl30_31), 66.85/9.93 inference(avatar_component_clause,[],[f540])). 66.85/9.93 tff(f3644,plain,( 66.85/9.93 ( ! [X1 : uni] : (mem(int,X1,sF29) | mem(int,X1,sF28) | ~mem(int,X1,sF26)) ) | (~spl30_23 | ~spl30_24 | ~spl30_25 | ~spl30_27)), 66.85/9.93 inference(forward_demodulation,[],[f3643,f491])). 66.85/9.93 tff(f3643,plain,( 66.85/9.93 ( ! [X1 : uni] : (mem(int,X1,sF29) | ~mem(int,X1,sF26) | mem(int,X1,labels(int,sF23))) ) | (~spl30_23 | ~spl30_25 | ~spl30_27)), 66.85/9.93 inference(forward_demodulation,[],[f3642,f496])). 66.85/9.93 tff(f3642,plain,( 66.85/9.93 ( ! [X1 : uni] : (~mem(int,X1,sF26) | mem(int,X1,labels(int,sF24)) | mem(int,X1,labels(int,sF23))) ) | (~spl30_23 | ~spl30_27)), 66.85/9.93 inference(forward_demodulation,[],[f3640,f486])). 66.85/9.93 tff(f3640,plain,( 66.85/9.93 ( ! [X1 : uni] : (~mem(int,X1,labels(int,sF25)) | mem(int,X1,labels(int,sF24)) | mem(int,X1,labels(int,sF23))) ) | ~spl30_27), 66.85/9.93 inference(superposition,[],[f317,f513])). 66.85/9.93 tff(f317,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X1,labels(X0,node(X0,X2,X3))) | mem(X0,X1,labels(X0,X3)) | mem(X0,X1,labels(X0,X2))) )), 66.85/9.93 inference(cnf_transformation,[],[f186])). 66.85/9.93 tff(f186,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,labels(X0,node(X0,X2,X3))) | (~mem(X0,X1,labels(X0,X2)) & ~mem(X0,X1,labels(X0,X3)))) & (mem(X0,X1,labels(X0,X2)) | mem(X0,X1,labels(X0,X3)) | ~mem(X0,X1,labels(X0,node(X0,X2,X3)))))), 66.85/9.93 inference(flattening,[],[f185])). 66.85/9.93 tff(f185,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,labels(X0,node(X0,X2,X3))) | (~mem(X0,X1,labels(X0,X2)) & ~mem(X0,X1,labels(X0,X3)))) & ((mem(X0,X1,labels(X0,X2)) | mem(X0,X1,labels(X0,X3))) | ~mem(X0,X1,labels(X0,node(X0,X2,X3)))))), 66.85/9.93 inference(nnf_transformation,[],[f129])). 66.85/9.93 tff(f129,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (mem(X0,X1,labels(X0,node(X0,X2,X3))) <=> (mem(X0,X1,labels(X0,X2)) | mem(X0,X1,labels(X0,X3))))), 66.85/9.93 inference(rectify,[],[f41])). 66.85/9.93 tff(f41,axiom,( 66.85/9.93 ! [X0 : ty,X6 : uni,X19 : uni,X20 : uni] : (mem(X0,X6,labels(X0,node(X0,X19,X20))) <=> (mem(X0,X6,labels(X0,X19)) | mem(X0,X6,labels(X0,X20))))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',labels_Node)). 66.85/9.93 tff(f1689,plain,( 66.85/9.93 spl30_41 | spl30_42 | ~spl30_43 | ~spl30_44), 66.85/9.93 inference(avatar_split_clause,[],[f338,f1686,f1682,f1678,f1674])). 66.85/9.93 tff(f338,plain,( 66.85/9.93 ~same_shape(int,a1,sF22,sF25) | ~distinct(int,sF26) | $less(sK5,sK0) | mem(int,sF27,sF26)), 66.85/9.93 inference(definition_folding,[],[f197,f335,f334,f333,f332,f337,f335,f334,f333,f332,f334,f333,f332,f331,f330,f329])). 66.85/9.93 tff(f337,plain,( 66.85/9.93 t2tb3(sK7) = sF27), 66.85/9.93 introduced(function_definition,[])). 66.85/9.93 tff(f197,plain,( 66.85/9.93 ~same_shape(int,a1,node(a1,t2tb2(sK1),t2tb2(sK2)),node(int,t2tb(sK6),t2tb(sK4))) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | $less(sK5,sK0) | mem(int,t2tb3(sK7),labels(int,node(int,t2tb(sK6),t2tb(sK4))))), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f947,plain,( 66.85/9.93 ~spl30_40 | spl30_31), 66.85/9.93 inference(avatar_split_clause,[],[f939,f540,f943])). 66.85/9.93 tff(f943,plain,( 66.85/9.93 spl30_40 <=> mem(int,sF27,nil(int))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_40])])). 66.85/9.93 tff(f939,plain,( 66.85/9.93 ~mem(int,sF27,nil(int)) | spl30_31), 66.85/9.93 inference(resolution,[],[f931,f542])). 66.85/9.93 tff(f931,plain,( 66.85/9.93 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,X2,X1) | ~mem(X0,X2,nil(X0))) )), 66.85/9.93 inference(superposition,[],[f315,f231])). 66.85/9.93 tff(f315,plain,( 66.85/9.93 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X3)) )), 66.85/9.93 inference(cnf_transformation,[],[f184])). 66.85/9.93 tff(f184,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X2) & ~mem(X0,X1,X3))) & (mem(X0,X1,X2) | mem(X0,X1,X3) | ~mem(X0,X1,infix_plpl(X0,X2,X3))))), 66.85/9.93 inference(flattening,[],[f183])). 66.85/9.93 tff(f183,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X2) & ~mem(X0,X1,X3))) & ((mem(X0,X1,X2) | mem(X0,X1,X3)) | ~mem(X0,X1,infix_plpl(X0,X2,X3))))), 66.85/9.93 inference(nnf_transformation,[],[f128])). 66.85/9.93 tff(f128,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) <=> (mem(X0,X1,X2) | mem(X0,X1,X3)))), 66.85/9.93 inference(rectify,[],[f59])). 66.85/9.93 tff(f59,axiom,( 66.85/9.93 ! [X0 : ty,X6 : uni,X13 : uni,X15 : uni] : (mem(X0,X6,infix_plpl(X0,X13,X15)) <=> (mem(X0,X6,X13) | mem(X0,X6,X15)))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_append)). 66.85/9.93 tff(f946,plain,( 66.85/9.93 ~spl30_40 | spl30_29), 66.85/9.93 inference(avatar_split_clause,[],[f935,f526,f943])). 66.85/9.93 tff(f935,plain,( 66.85/9.93 ~mem(int,sF27,nil(int)) | spl30_29), 66.85/9.93 inference(resolution,[],[f931,f528])). 66.85/9.93 tff(f917,plain,( 66.85/9.93 spl30_39 | ~spl30_11), 66.85/9.93 inference(avatar_split_clause,[],[f909,f406,f914])). 66.85/9.93 tff(f914,plain,( 66.85/9.93 spl30_39 <=> sF27 = cons_proj_1(int,labels(int,leaf(int,sF27)))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_39])])). 66.85/9.93 tff(f406,plain,( 66.85/9.93 spl30_11 <=> sort(int,sF27)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_11])])). 66.85/9.93 tff(f909,plain,( 66.85/9.93 sF27 = cons_proj_1(int,labels(int,leaf(int,sF27))) | ~spl30_11), 66.85/9.93 inference(superposition,[],[f890,f216])). 66.85/9.93 tff(f890,plain,( 66.85/9.93 ( ! [X30 : uni] : (sF27 = cons_proj_1(int,cons(int,sF27,X30))) ) | ~spl30_11), 66.85/9.93 inference(resolution,[],[f270,f408])). 66.85/9.93 tff(f408,plain,( 66.85/9.93 sort(int,sF27) | ~spl30_11), 66.85/9.93 inference(avatar_component_clause,[],[f406])). 66.85/9.93 tff(f691,plain,( 66.85/9.93 spl30_38 | ~spl30_11), 66.85/9.93 inference(avatar_split_clause,[],[f668,f406,f688])). 66.85/9.93 tff(f688,plain,( 66.85/9.93 spl30_38 <=> sF27 = leaf_proj_1(int,leaf(int,sF27))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_38])])). 66.85/9.93 tff(f668,plain,( 66.85/9.93 sF27 = leaf_proj_1(int,leaf(int,sF27)) | ~spl30_11), 66.85/9.93 inference(resolution,[],[f248,f408])). 66.85/9.93 tff(f248,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (~sort(X0,X1) | leaf_proj_1(X0,leaf(X0,X1)) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f141])). 66.85/9.93 tff(f141,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (leaf_proj_1(X0,leaf(X0,X1)) = X1 | ~sort(X0,X1))), 66.85/9.93 inference(ennf_transformation,[],[f29])). 66.85/9.93 tff(f29,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => leaf_proj_1(X0,leaf(X0,X1)) = X1)), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leaf_proj_1_def)). 66.85/9.93 tff(f652,plain,( 66.85/9.93 spl30_37 | ~spl30_11), 66.85/9.93 inference(avatar_split_clause,[],[f629,f406,f649])). 66.85/9.93 tff(f649,plain,( 66.85/9.93 spl30_37 <=> sF27 = contents(int,mk_ref(int,sF27))), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_37])])). 66.85/9.93 tff(f629,plain,( 66.85/9.93 sF27 = contents(int,mk_ref(int,sF27)) | ~spl30_11), 66.85/9.93 inference(resolution,[],[f247,f408])). 66.85/9.93 tff(f247,plain,( 66.85/9.93 ( ! [X0 : ty,X1 : uni] : (~sort(X0,X1) | contents(X0,mk_ref(X0,X1)) = X1) )), 66.85/9.93 inference(cnf_transformation,[],[f140])). 66.85/9.93 tff(f140,plain,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (contents(X0,mk_ref(X0,X1)) = X1 | ~sort(X0,X1))), 66.85/9.93 inference(ennf_transformation,[],[f6])). 66.85/9.93 tff(f6,axiom,( 66.85/9.93 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => contents(X0,mk_ref(X0,X1)) = X1)), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contents_def)). 66.85/9.93 tff(f578,plain,( 66.85/9.93 spl30_36 | ~spl30_27), 66.85/9.93 inference(avatar_split_clause,[],[f567,f511,f575])). 66.85/9.93 tff(f567,plain,( 66.85/9.93 sF23 = node_proj_1(int,sF25) | ~spl30_27), 66.85/9.93 inference(superposition,[],[f261,f513])). 66.85/9.93 tff(f573,plain,( 66.85/9.93 spl30_35 | ~spl30_26), 66.85/9.93 inference(avatar_split_clause,[],[f566,f506,f570])). 66.85/9.93 tff(f566,plain,( 66.85/9.93 sF20 = node_proj_1(a1,sF22) | ~spl30_26), 66.85/9.93 inference(superposition,[],[f261,f508])). 66.85/9.93 tff(f563,plain,( 66.85/9.93 spl30_34 | ~spl30_27), 66.85/9.93 inference(avatar_split_clause,[],[f552,f511,f560])). 66.85/9.93 tff(f552,plain,( 66.85/9.93 sF24 = node_proj_2(int,sF25) | ~spl30_27), 66.85/9.93 inference(superposition,[],[f260,f513])). 66.85/9.93 tff(f558,plain,( 66.85/9.93 spl30_33 | ~spl30_26), 66.85/9.93 inference(avatar_split_clause,[],[f551,f506,f555])). 66.85/9.93 tff(f551,plain,( 66.85/9.93 sF21 = node_proj_2(a1,sF22) | ~spl30_26), 66.85/9.93 inference(superposition,[],[f260,f508])). 66.85/9.93 tff(f550,plain,( 66.85/9.93 spl30_32 | ~spl30_31 | ~spl30_10), 66.85/9.93 inference(avatar_split_clause,[],[f544,f400,f540,f547])). 66.85/9.93 tff(f400,plain,( 66.85/9.93 spl30_10 <=> t2tb3(sK7) = sF27), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_10])])). 66.85/9.93 tff(f544,plain,( 66.85/9.93 ~mem(int,sF27,sF29) | $less(sK0,sK7) | ~spl30_10), 66.85/9.93 inference(superposition,[],[f348,f402])). 66.85/9.93 tff(f402,plain,( 66.85/9.93 t2tb3(sK7) = sF27 | ~spl30_10), 66.85/9.93 inference(avatar_component_clause,[],[f400])). 66.85/9.93 tff(f348,plain,( 66.85/9.93 ( ! [X9 : $int] : (~mem(int,t2tb3(X9),sF29) | $less(sK0,X9)) )), 66.85/9.93 inference(definition_folding,[],[f188,f345,f333])). 66.85/9.93 tff(f188,plain,( 66.85/9.93 ( ! [X9 : $int] : ($less(sK0,X9) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))) )), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f543,plain,( 66.85/9.93 ~spl30_30 | ~spl30_31 | ~spl30_10), 66.85/9.93 inference(avatar_split_clause,[],[f537,f400,f540,f533])). 66.85/9.93 tff(f533,plain,( 66.85/9.93 spl30_30 <=> $less(sK3,sK7)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_30])])). 66.85/9.93 tff(f537,plain,( 66.85/9.93 ~mem(int,sF27,sF29) | ~$less(sK3,sK7) | ~spl30_10), 66.85/9.93 inference(superposition,[],[f347,f402])). 66.85/9.93 tff(f536,plain,( 66.85/9.93 spl30_30 | ~spl30_29 | ~spl30_10), 66.85/9.93 inference(avatar_split_clause,[],[f530,f400,f526,f533])). 66.85/9.93 tff(f530,plain,( 66.85/9.93 ~mem(int,sF27,sF28) | $less(sK3,sK7) | ~spl30_10), 66.85/9.93 inference(superposition,[],[f343,f402])). 66.85/9.93 tff(f529,plain,( 66.85/9.93 ~spl30_28 | ~spl30_29 | ~spl30_10), 66.85/9.93 inference(avatar_split_clause,[],[f519,f400,f526,f522])). 66.85/9.93 tff(f519,plain,( 66.85/9.93 ~mem(int,sF27,sF28) | ~$less(sK5,sK7) | ~spl30_10), 66.85/9.93 inference(superposition,[],[f342,f402])). 66.85/9.93 tff(f514,plain,( 66.85/9.93 spl30_27), 66.85/9.93 inference(avatar_split_clause,[],[f334,f511])). 66.85/9.93 tff(f509,plain,( 66.85/9.93 spl30_26), 66.85/9.93 inference(avatar_split_clause,[],[f331,f506])). 66.85/9.93 tff(f497,plain,( 66.85/9.93 spl30_25), 66.85/9.93 inference(avatar_split_clause,[],[f345,f494])). 66.85/9.93 tff(f492,plain,( 66.85/9.93 spl30_24), 66.85/9.93 inference(avatar_split_clause,[],[f340,f489])). 66.85/9.93 tff(f487,plain,( 66.85/9.93 spl30_23), 66.85/9.93 inference(avatar_split_clause,[],[f335,f484])). 66.85/9.93 tff(f482,plain,( 66.85/9.93 spl30_22 | ~spl30_9), 66.85/9.93 inference(avatar_split_clause,[],[f471,f395,f479])). 66.85/9.93 tff(f479,plain,( 66.85/9.93 spl30_22 <=> sort(tree(int),sF24)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_22])])). 66.85/9.93 tff(f395,plain,( 66.85/9.93 spl30_9 <=> t2tb(sK4) = sF24), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_9])])). 66.85/9.93 tff(f471,plain,( 66.85/9.93 sort(tree(int),sF24) | ~spl30_9), 66.85/9.93 inference(superposition,[],[f214,f397])). 66.85/9.93 tff(f397,plain,( 66.85/9.93 t2tb(sK4) = sF24 | ~spl30_9), 66.85/9.93 inference(avatar_component_clause,[],[f395])). 66.85/9.93 tff(f214,plain,( 66.85/9.93 ( ! [X0 : tree_int] : (sort(tree(int),t2tb(X0))) )), 66.85/9.93 inference(cnf_transformation,[],[f90])). 66.85/9.93 tff(f90,plain,( 66.85/9.93 ! [X0 : tree_int] : sort(tree(int),t2tb(X0))), 66.85/9.93 inference(rectify,[],[f40])). 66.85/9.93 tff(f40,axiom,( 66.85/9.93 ! [X6 : tree_int] : sort(tree(int),t2tb(X6))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort)). 66.85/9.93 tff(f477,plain,( 66.85/9.93 spl30_21 | ~spl30_8), 66.85/9.93 inference(avatar_split_clause,[],[f470,f390,f474])). 66.85/9.93 tff(f474,plain,( 66.85/9.93 spl30_21 <=> sort(tree(int),sF23)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_21])])). 66.85/9.93 tff(f390,plain,( 66.85/9.93 spl30_8 <=> t2tb(sK6) = sF23), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_8])])). 66.85/9.93 tff(f470,plain,( 66.85/9.93 sort(tree(int),sF23) | ~spl30_8), 66.85/9.93 inference(superposition,[],[f214,f392])). 66.85/9.93 tff(f392,plain,( 66.85/9.93 t2tb(sK6) = sF23 | ~spl30_8), 66.85/9.93 inference(avatar_component_clause,[],[f390])). 66.85/9.93 tff(f469,plain,( 66.85/9.93 spl30_20 | ~spl30_7), 66.85/9.93 inference(avatar_split_clause,[],[f458,f385,f466])). 66.85/9.93 tff(f466,plain,( 66.85/9.93 spl30_20 <=> sort(tree(a1),sF21)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_20])])). 66.85/9.93 tff(f385,plain,( 66.85/9.93 spl30_7 <=> t2tb2(sK2) = sF21), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_7])])). 66.85/9.93 tff(f458,plain,( 66.85/9.93 sort(tree(a1),sF21) | ~spl30_7), 66.85/9.93 inference(superposition,[],[f213,f387])). 66.85/9.93 tff(f387,plain,( 66.85/9.93 t2tb2(sK2) = sF21 | ~spl30_7), 66.85/9.93 inference(avatar_component_clause,[],[f385])). 66.85/9.93 tff(f213,plain,( 66.85/9.93 ( ! [X0 : tree_a1] : (sort(tree(a1),t2tb2(X0))) )), 66.85/9.93 inference(cnf_transformation,[],[f89])). 66.85/9.93 tff(f89,plain,( 66.85/9.93 ! [X0 : tree_a1] : sort(tree(a1),t2tb2(X0))), 66.85/9.93 inference(rectify,[],[f62])). 66.85/9.93 tff(f62,axiom,( 66.85/9.93 ! [X6 : tree_a1] : sort(tree(a1),t2tb2(X6))), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2)). 66.85/9.93 tff(f464,plain,( 66.85/9.93 spl30_19 | ~spl30_6), 66.85/9.93 inference(avatar_split_clause,[],[f457,f380,f461])). 66.85/9.93 tff(f461,plain,( 66.85/9.93 spl30_19 <=> sort(tree(a1),sF20)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_19])])). 66.85/9.93 tff(f380,plain,( 66.85/9.93 spl30_6 <=> t2tb2(sK1) = sF20), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_6])])). 66.85/9.93 tff(f457,plain,( 66.85/9.93 sort(tree(a1),sF20) | ~spl30_6), 66.85/9.93 inference(superposition,[],[f213,f382])). 66.85/9.93 tff(f382,plain,( 66.85/9.93 t2tb2(sK1) = sF20 | ~spl30_6), 66.85/9.93 inference(avatar_component_clause,[],[f380])). 66.85/9.93 tff(f449,plain,( 66.85/9.93 spl30_18 | ~spl30_9), 66.85/9.93 inference(avatar_split_clause,[],[f439,f395,f446])). 66.85/9.93 tff(f446,plain,( 66.85/9.93 spl30_18 <=> sK4 = tb2t(sF24)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_18])])). 66.85/9.93 tff(f439,plain,( 66.85/9.93 sK4 = tb2t(sF24) | ~spl30_9), 66.85/9.93 inference(superposition,[],[f207,f397])). 66.85/9.93 tff(f207,plain,( 66.85/9.93 ( ! [X0 : tree_int] : (tb2t(t2tb(X0)) = X0) )), 66.85/9.93 inference(cnf_transformation,[],[f83])). 66.85/9.93 tff(f83,plain,( 66.85/9.93 ! [X0 : tree_int] : tb2t(t2tb(X0)) = X0), 66.85/9.93 inference(rectify,[],[f2])). 66.85/9.93 tff(f2,axiom,( 66.85/9.93 ! [X3 : tree_int] : tb2t(t2tb(X3)) = X3), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)). 66.85/9.93 tff(f444,plain,( 66.85/9.93 spl30_17 | ~spl30_8), 66.85/9.93 inference(avatar_split_clause,[],[f438,f390,f441])). 66.85/9.93 tff(f441,plain,( 66.85/9.93 spl30_17 <=> sK6 = tb2t(sF23)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_17])])). 66.85/9.93 tff(f438,plain,( 66.85/9.93 sK6 = tb2t(sF23) | ~spl30_8), 66.85/9.93 inference(superposition,[],[f207,f392])). 66.85/9.93 tff(f437,plain,( 66.85/9.93 spl30_16 | ~spl30_7), 66.85/9.93 inference(avatar_split_clause,[],[f427,f385,f434])). 66.85/9.93 tff(f434,plain,( 66.85/9.93 spl30_16 <=> sK2 = tb2t2(sF21)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_16])])). 66.85/9.93 tff(f427,plain,( 66.85/9.93 sK2 = tb2t2(sF21) | ~spl30_7), 66.85/9.93 inference(superposition,[],[f206,f387])). 66.85/9.93 tff(f206,plain,( 66.85/9.93 ( ! [X0 : tree_a1] : (tb2t2(t2tb2(X0)) = X0) )), 66.85/9.93 inference(cnf_transformation,[],[f82])). 66.85/9.93 tff(f82,plain,( 66.85/9.93 ! [X0 : tree_a1] : tb2t2(t2tb2(X0)) = X0), 66.85/9.93 inference(rectify,[],[f24])). 66.85/9.93 tff(f24,axiom,( 66.85/9.93 ! [X3 : tree_a1] : tb2t2(t2tb2(X3)) = X3), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2)). 66.85/9.93 tff(f432,plain,( 66.85/9.93 spl30_15 | ~spl30_6), 66.85/9.93 inference(avatar_split_clause,[],[f426,f380,f429])). 66.85/9.93 tff(f429,plain,( 66.85/9.93 spl30_15 <=> sK1 = tb2t2(sF20)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_15])])). 66.85/9.93 tff(f426,plain,( 66.85/9.93 sK1 = tb2t2(sF20) | ~spl30_6), 66.85/9.93 inference(superposition,[],[f206,f382])). 66.85/9.93 tff(f425,plain,( 66.85/9.93 spl30_14 | ~spl30_10), 66.85/9.93 inference(avatar_split_clause,[],[f420,f400,f422])). 66.85/9.93 tff(f422,plain,( 66.85/9.93 spl30_14 <=> sK7 = tb2t3(sF27)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 66.85/9.93 tff(f420,plain,( 66.85/9.93 sK7 = tb2t3(sF27) | ~spl30_10), 66.85/9.93 inference(superposition,[],[f205,f402])). 66.85/9.93 tff(f205,plain,( 66.85/9.93 ( ! [X0 : $int] : (tb2t3(t2tb3(X0)) = X0) )), 66.85/9.93 inference(cnf_transformation,[],[f81])). 66.85/9.93 tff(f81,plain,( 66.85/9.93 ! [X0 : $int] : tb2t3(t2tb3(X0)) = X0), 66.85/9.93 inference(rectify,[],[f52])). 66.85/9.93 tff(f52,axiom,( 66.85/9.93 ! [X3 : $int] : tb2t3(t2tb3(X3)) = X3), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL3)). 66.85/9.93 tff(f419,plain,( 66.85/9.93 spl30_13), 66.85/9.93 inference(avatar_split_clause,[],[f344,f416])). 66.85/9.93 tff(f344,plain,( 66.85/9.93 same_shape(int,a1,sF21,sF24)), 66.85/9.93 inference(definition_folding,[],[f191,f333,f330])). 66.85/9.93 tff(f191,plain,( 66.85/9.93 same_shape(int,a1,t2tb2(sK2),t2tb(sK4))), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f414,plain,( 66.85/9.93 spl30_12), 66.85/9.93 inference(avatar_split_clause,[],[f339,f411])). 66.85/9.93 tff(f339,plain,( 66.85/9.93 same_shape(int,a1,sF20,sF23)), 66.85/9.93 inference(definition_folding,[],[f196,f332,f329])). 66.85/9.93 tff(f196,plain,( 66.85/9.93 same_shape(int,a1,t2tb2(sK1),t2tb(sK6))), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f409,plain,( 66.85/9.93 spl30_11 | ~spl30_10), 66.85/9.93 inference(avatar_split_clause,[],[f404,f400,f406])). 66.85/9.93 tff(f404,plain,( 66.85/9.93 sort(int,sF27) | ~spl30_10), 66.85/9.93 inference(superposition,[],[f203,f402])). 66.85/9.93 tff(f403,plain,( 66.85/9.93 spl30_10), 66.85/9.93 inference(avatar_split_clause,[],[f337,f400])). 66.85/9.93 tff(f398,plain,( 66.85/9.93 spl30_9), 66.85/9.93 inference(avatar_split_clause,[],[f333,f395])). 66.85/9.93 tff(f393,plain,( 66.85/9.93 spl30_8), 66.85/9.93 inference(avatar_split_clause,[],[f332,f390])). 66.85/9.93 tff(f388,plain,( 66.85/9.93 spl30_7), 66.85/9.93 inference(avatar_split_clause,[],[f330,f385])). 66.85/9.93 tff(f383,plain,( 66.85/9.93 spl30_6), 66.85/9.93 inference(avatar_split_clause,[],[f329,f380])). 66.85/9.93 tff(f375,plain,( 66.85/9.93 ~spl30_5), 66.85/9.93 inference(avatar_split_clause,[],[f199,f372])). 66.85/9.93 tff(f372,plain,( 66.85/9.93 spl30_5 <=> true = false), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_5])])). 66.85/9.93 tff(f199,plain,( 66.85/9.93 true != false), 66.85/9.93 inference(cnf_transformation,[],[f18])). 66.85/9.93 tff(f18,axiom,( 66.85/9.93 true != false), 66.85/9.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 66.85/9.93 tff(f370,plain,( 66.85/9.93 spl30_4), 66.85/9.93 inference(avatar_split_clause,[],[f346,f367])). 66.85/9.93 tff(f346,plain,( 66.85/9.93 distinct(int,sF29)), 66.85/9.93 inference(definition_folding,[],[f190,f345,f333])). 66.85/9.93 tff(f190,plain,( 66.85/9.93 distinct(int,labels(int,t2tb(sK4)))), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f365,plain,( 66.85/9.93 spl30_3), 66.85/9.93 inference(avatar_split_clause,[],[f341,f362])). 66.85/9.93 tff(f341,plain,( 66.85/9.93 distinct(int,sF28)), 66.85/9.93 inference(definition_folding,[],[f195,f340,f332])). 66.85/9.93 tff(f195,plain,( 66.85/9.93 distinct(int,labels(int,t2tb(sK6)))), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f360,plain,( 66.85/9.93 ~spl30_2), 66.85/9.93 inference(avatar_split_clause,[],[f192,f357])). 66.85/9.93 tff(f357,plain,( 66.85/9.93 spl30_2 <=> $less(sK5,sK3)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_2])])). 66.85/9.93 tff(f192,plain,( 66.85/9.93 ~$less(sK5,sK3)), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 tff(f355,plain,( 66.85/9.93 ~spl30_1), 66.85/9.93 inference(avatar_split_clause,[],[f187,f352])). 66.85/9.93 tff(f352,plain,( 66.85/9.93 spl30_1 <=> $less(sK3,sK0)), 66.85/9.93 introduced(avatar_definition,[new_symbols(naming,[spl30_1])])). 66.85/9.93 tff(f187,plain,( 66.85/9.93 ~$less(sK3,sK0)), 66.85/9.93 inference(cnf_transformation,[],[f168])). 66.85/9.93 % SZS output end Proof for theBenchmark 66.85/9.93 % (7329)------------------------------ 66.85/9.93 % (7329)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 66.85/9.93 % (7329)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 66.85/9.93 % (7329)Termination reason: Refutation 66.85/9.93 66.85/9.93 % (7329)Memory used [KB]: 324173 66.85/9.93 % (7329)Time elapsed: 9.419 s 66.85/9.93 % (7329)------------------------------ 66.85/9.93 % (7329)------------------------------ 66.85/9.93 % (7326)Success in time 9.55 s 66.85/9.93 7330 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p 66.85/9.93 % (7330)------------------------------ 66.85/9.93 % (7330)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 66.85/9.93 % (7330)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 66.85/9.93 % (7330)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 66.85/9.93 66.85/9.93 % (7330)Memory used [KB]: 103239 66.85/9.93 % (7330)Time elapsed: 9.462 s 66.85/9.93 % (7330)------------------------------ 66.85/9.93 % (7330)------------------------------ 66.85/9.93 % Vampire---4.8 exiting 66.85/9.96 EOF