0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : run_vampire %s %d THM 0.14/0.34 % Computer : n026.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Wed Jul 30 07:10:04 EDT 2025 0.14/0.34 % CPUTime : 0.14/0.36 This is a TFF_ problem 0.14/0.37 Running first-order theorem proving 0.14/0.37 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.23/0.44 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.44 % (7305)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3792846094:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.23/0.45 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.45 % (7303)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1749456332:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.23/0.45 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.45 % (7304)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=80694113:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.23/0.45 % (7303)Instruction limit reached! 0.23/0.45 % (7303)------------------------------ 0.23/0.45 % (7303)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.45 % (7303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.45 % (7303)Termination reason: Instruction limit 0.23/0.45 % (7303)Termination phase: Property scanning 0.23/0.45 0.23/0.45 % (7303)Time elapsed: 0.002 s 0.23/0.45 % (7303)Peak memory usage: 7 MB 0.23/0.45 % (7303)Instructions burned: 5 (million) 0.23/0.45 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.45 % (7301)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3405053346:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.23/0.45 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.45 % (7300)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=271207057:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.23/0.46 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.46 % (7299)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=3792138383:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.23/0.46 % (7305)Instruction limit reached! 0.23/0.46 % (7305)------------------------------ 0.23/0.46 % (7305)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.46 % (7305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.46 % (7305)Termination reason: Instruction limit 0.23/0.46 % (7305)Termination phase: Saturation 0.23/0.46 0.23/0.46 % (7305)Time elapsed: 0.019 s 0.23/0.46 % (7305)Peak memory usage: 29 MB 0.23/0.46 % (7305)Instructions burned: 34 (million) 0.23/0.47 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.47 % (7302)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1403075043:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.23/0.47 % (7302)Instruction limit reached! 0.23/0.47 % (7302)------------------------------ 0.23/0.47 % (7302)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.47 % (7302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.47 % (7302)Termination reason: Instruction limit 0.23/0.47 % (7302)Termination phase: Saturation 0.23/0.47 0.23/0.47 % (7302)Time elapsed: 0.004 s 0.23/0.47 % (7302)Peak memory usage: 7 MB 0.23/0.47 % (7302)Instructions burned: 7 (million) 0.23/0.48 % (7299)Instruction limit reached! 0.23/0.48 % (7299)------------------------------ 0.23/0.48 % (7299)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.48 % (7299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.48 % (7299)Termination reason: Instruction limit 0.23/0.48 % (7299)Termination phase: Saturation 0.23/0.48 0.23/0.48 % (7299)Time elapsed: 0.015 s 0.23/0.48 % (7299)Peak memory usage: 24 MB 0.23/0.48 % (7299)Instructions burned: 12 (million) 0.23/0.48 % (7304)Instruction limit reached! 0.23/0.48 % (7304)------------------------------ 0.23/0.48 % (7304)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.48 % (7304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.48 % (7304)Termination reason: Instruction limit 0.23/0.48 % (7304)Termination phase: Saturation 0.23/0.48 0.23/0.48 % (7304)Time elapsed: 0.033 s 0.23/0.48 % (7304)Peak memory usage: 29 MB 0.23/0.48 % (7304)Instructions burned: 47 (million) 0.23/0.51 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.51 % (7309)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1438765102:st=5:i=14:sd=10:afp=4000:rtra=on:ss=axioms:rawr=on_1199 on theBenchmark for (1199ds/14Mi) 0.23/0.52 % (7297)Running in auto input_syntax mode. Trying TPTP 0.23/0.52 % (7313)dis+1011_2:1_to=kbo:sil=128000:tgt=full:norm_ineq=on:fde=none:si=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1454316774:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1199 on theBenchmark for (1199ds/29Mi) 0.23/0.52 % (7309)Instruction limit reached! 0.23/0.52 % (7309)------------------------------ 0.23/0.52 % (7309)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.52 % (7309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.52 % (7309)Termination reason: Instruction limit 0.23/0.52 % (7309)Termination phase: Saturation 0.23/0.52 0.23/0.52 % (7309)Time elapsed: 0.005 s 0.23/0.52 % (7309)Peak memory usage: 8 MB 0.23/0.52 % (7309)Instructions burned: 15 (million) 1.17/0.53 % (7313)Instruction limit reached! 1.17/0.53 % (7313)------------------------------ 1.17/0.53 % (7313)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.17/0.53 % (7313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.17/0.53 % (7313)Termination reason: Instruction limit 1.17/0.53 % (7313)Termination phase: Saturation 1.17/0.53 1.17/0.53 % (7313)Time elapsed: 0.017 s 1.17/0.53 % (7313)Peak memory usage: 8 MB 1.17/0.53 % (7313)Instructions burned: 31 (million) 1.17/0.54 % (7297)Running in auto input_syntax mode. Trying TPTP 1.17/0.54 % (7315)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=943569717:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_1198 on theBenchmark for (1198ds/16Mi) 1.28/0.54 % (7315)Instruction limit reached! 1.28/0.54 % (7315)------------------------------ 1.28/0.54 % (7315)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.28/0.54 % (7315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.28/0.54 % (7315)Termination reason: Instruction limit 1.28/0.54 % (7315)Termination phase: Saturation 1.28/0.54 1.28/0.54 % (7315)Time elapsed: 0.005 s 1.28/0.54 % (7315)Peak memory usage: 8 MB 1.28/0.54 % (7315)Instructions burned: 18 (million) 1.28/0.55 % (7300)First to succeed. 1.28/0.55 % (7297)Running in auto input_syntax mode. Trying TPTP 1.28/0.55 % (7317)ott+1010_8_to=lpo:sil=128000:norm_ineq=on:si=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1813524605:i=27:canc=cautious:fsr=off:rtra=on:uhcvi=off_1198 on theBenchmark for (1198ds/27Mi) 1.28/0.55 % (7297)Running in auto input_syntax mode. Trying TPTP 1.28/0.55 % (7316)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1705043765:i=24:canc=force:rtra=on_1198 on theBenchmark for (1198ds/24Mi) 1.28/0.55 % (7300)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7297" 1.28/0.56 % (7297)Running in auto input_syntax mode. Trying TPTP 1.28/0.56 % (7300)Refutation found. Thanks to Tanya! 1.28/0.56 % SZS status Theorem for theBenchmark 1.28/0.56 % SZS output start Proof for theBenchmark 1.28/0.56 tff(type_def_5, type, uni: $tType). 1.28/0.56 tff(type_def_6, type, ty: $tType). 1.28/0.56 tff(type_def_7, type, bool: $tType). 1.28/0.56 tff(type_def_8, type, tuple0: $tType). 1.28/0.56 tff(type_def_9, type, a: $tType). 1.28/0.56 tff(type_def_10, type, tree_int: $tType). 1.28/0.56 tff(type_def_11, type, list_int: $tType). 1.28/0.56 tff(type_def_12, type, tree_a1: $tType). 1.28/0.56 tff(func_def_0, type, witness: ty > uni). 1.28/0.56 tff(func_def_1, type, int: ty). 1.28/0.56 tff(func_def_2, type, real: ty). 1.28/0.56 tff(func_def_3, type, bool1: ty). 1.28/0.56 tff(func_def_4, type, true: bool). 1.28/0.56 tff(func_def_5, type, false: bool). 1.28/0.56 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 1.28/0.56 tff(func_def_7, type, tuple01: ty). 1.28/0.56 tff(func_def_8, type, tuple02: tuple0). 1.28/0.56 tff(func_def_9, type, qtmark: ty). 1.28/0.56 tff(func_def_10, type, list: ty > ty). 1.28/0.56 tff(func_def_11, type, nil: ty > uni). 1.28/0.56 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 1.28/0.56 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 1.28/0.56 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 1.28/0.56 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 1.28/0.56 tff(func_def_16, type, infix_plpl: (ty * uni * uni) > uni). 1.28/0.56 tff(func_def_17, type, length: (ty * uni) > $int). 1.28/0.56 tff(func_def_18, type, tree: ty > ty). 1.28/0.56 tff(func_def_19, type, leaf: (ty * uni) > uni). 1.28/0.56 tff(func_def_20, type, node: (ty * uni * uni) > uni). 1.28/0.56 tff(func_def_21, type, match_tree: (ty * ty * uni * uni * uni) > uni). 1.28/0.56 tff(func_def_22, type, leaf_proj_1: (ty * uni) > uni). 1.28/0.56 tff(func_def_23, type, node_proj_1: (ty * uni) > uni). 1.28/0.56 tff(func_def_24, type, node_proj_2: (ty * uni) > uni). 1.28/0.56 tff(func_def_25, type, labels: (ty * uni) > uni). 1.28/0.56 tff(func_def_26, type, ref: ty > ty). 1.28/0.56 tff(func_def_27, type, mk_ref: (ty * uni) > uni). 1.28/0.56 tff(func_def_28, type, contents: (ty * uni) > uni). 1.28/0.56 tff(func_def_29, type, a1: ty). 1.28/0.56 tff(func_def_30, type, t2tb: tree_int > uni). 1.28/0.56 tff(func_def_31, type, tb2t: uni > tree_int). 1.28/0.56 tff(func_def_32, type, t2tb1: list_int > uni). 1.28/0.56 tff(func_def_33, type, tb2t1: uni > list_int). 1.28/0.56 tff(func_def_34, type, t2tb2: tree_a1 > uni). 1.28/0.56 tff(func_def_35, type, tb2t2: uni > tree_a1). 1.28/0.56 tff(func_def_36, type, t2tb3: $int > uni). 1.28/0.56 tff(func_def_37, type, tb2t3: uni > $int). 1.28/0.56 tff(func_def_42, type, sK0: (uni * ty * uni) > uni). 1.28/0.56 tff(func_def_43, type, sK1: $int). 1.28/0.56 tff(func_def_44, type, sK2: $int). 1.28/0.56 tff(func_def_45, type, sK3: tree_a1). 1.28/0.56 tff(func_def_46, type, sK4: tree_int). 1.28/0.56 tff(func_def_47, type, sK5: tree_a1). 1.28/0.56 tff(func_def_48, type, sK6: tree_int). 1.28/0.56 tff(func_def_49, type, sK7: $int). 1.28/0.56 tff(func_def_50, type, sK8: $int). 1.28/0.56 tff(func_def_51, type, sK9: (uni * uni * ty) > uni). 1.28/0.56 tff(func_def_52, type, sK10: (uni * uni * ty) > uni). 1.28/0.56 tff(func_def_53, type, sK11: (ty * uni) > uni). 1.28/0.56 tff(func_def_54, type, sK12: (ty * uni) > uni). 1.28/0.56 tff(func_def_55, type, sK13: (ty * uni) > uni). 1.28/0.56 tff(func_def_56, type, sK14: (uni * uni * ty * ty) > uni). 1.28/0.56 tff(func_def_57, type, sK15: (uni * uni * ty * ty) > uni). 1.28/0.56 tff(func_def_58, type, sK16: (uni * uni * ty * ty) > uni). 1.28/0.56 tff(func_def_59, type, sK17: (uni * uni * ty * ty) > uni). 1.28/0.56 tff(func_def_60, type, sK18: (uni * uni * ty * ty) > uni). 1.28/0.56 tff(func_def_61, type, sK19: (uni * uni * ty * ty) > uni). 1.28/0.56 tff(func_def_62, type, sF20: uni). 1.28/0.56 tff(func_def_63, type, sF21: uni). 1.28/0.56 tff(func_def_64, type, sF22: uni). 1.28/0.56 tff(func_def_65, type, sF23: uni). 1.28/0.56 tff(func_def_66, type, sF24: uni). 1.28/0.56 tff(func_def_67, type, sF25: uni). 1.28/0.56 tff(func_def_68, type, sF26: uni). 1.28/0.56 tff(func_def_69, type, sF27: uni). 1.28/0.56 tff(func_def_70, type, sF28: uni). 1.28/0.56 tff(func_def_71, type, sF29: uni). 1.28/0.56 tff(pred_def_1, type, sort: (ty * uni) > $o). 1.28/0.56 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 1.28/0.56 tff(pred_def_3, type, distinct: (ty * uni) > $o). 1.28/0.56 tff(pred_def_4, type, same_shape: (ty * ty * uni * uni) > $o). 1.28/0.56 tff(f2710,plain,( 1.28/0.56 $false), 1.28/0.56 inference(avatar_smt_refutation,[],[f400,f405,f410,f415,f420,f437,f442,f447,f452,f457,f462,f467,f472,f477,f482,f487,f492,f501,f506,f523,f528,f529,f534,f535,f541,f548,f553,f560,f565,f573,f578,f605,f610,f631,f636,f644,f649,f821,f969,f986,f1193,f1260,f1266,f1272,f1308,f1322,f1341,f1358,f1367,f1371,f1515,f1520,f1974,f1978,f2030,f2032,f2042,f2045,f2049,f2052,f2054,f2056,f2066,f2067,f2454,f2470,f2482,f2488,f2499,f2509,f2523,f2533,f2535,f2541,f2544,f2548,f2556,f2558,f2562,f2567,f2576,f2582,f2596,f2598,f2600,f2605,f2610,f2616,f2618,f2628,f2636,f2638,f2642,f2668,f2681,f2705,f2709])). 1.28/0.56 tff(f2709,plain,( 1.28/0.56 spl30_6 | ~spl30_10 | ~spl30_11 | ~spl30_15 | ~spl30_16), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2708])). 1.28/0.56 tff(f2708,plain,( 1.28/0.56 $false | (spl30_6 | ~spl30_10 | ~spl30_11 | ~spl30_15 | ~spl30_16)), 1.28/0.56 inference(subsumption_resolution,[],[f2707,f446])). 1.28/0.56 tff(f446,plain,( 1.28/0.56 same_shape(int,a1,sF22,sF24) | ~spl30_11), 1.28/0.56 inference(avatar_component_clause,[],[f444])). 1.28/0.56 tff(f444,definition,( 1.28/0.56 spl30_11 <=> same_shape(int,a1,sF22,sF24)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_11])],[avatar_definition])). 1.28/0.56 tff(f2707,plain,( 1.28/0.56 ~same_shape(int,a1,sF22,sF24) | (spl30_6 | ~spl30_10 | ~spl30_15 | ~spl30_16)), 1.28/0.56 inference(subsumption_resolution,[],[f2706,f424])). 1.28/0.56 tff(f424,plain,( 1.28/0.56 ~same_shape(int,a1,sF23,sF25) | spl30_6), 1.28/0.56 inference(avatar_component_clause,[],[f422])). 1.28/0.56 tff(f422,definition,( 1.28/0.56 spl30_6 <=> same_shape(int,a1,sF23,sF25)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_6])],[avatar_definition])). 1.28/0.56 tff(f2706,plain,( 1.28/0.56 same_shape(int,a1,sF23,sF25) | ~same_shape(int,a1,sF22,sF24) | (~spl30_10 | ~spl30_15 | ~spl30_16)), 1.28/0.56 inference(subsumption_resolution,[],[f2682,f471])). 1.28/0.56 tff(f471,plain,( 1.28/0.56 same_shape(int,a1,sF20,sF21) | ~spl30_16), 1.28/0.56 inference(avatar_component_clause,[],[f469])). 1.28/0.56 tff(f469,definition,( 1.28/0.56 spl30_16 <=> same_shape(int,a1,sF20,sF21)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_16])],[avatar_definition])). 1.28/0.56 tff(f2682,plain,( 1.28/0.56 ~same_shape(int,a1,sF20,sF21) | same_shape(int,a1,sF23,sF25) | ~same_shape(int,a1,sF22,sF24) | (~spl30_10 | ~spl30_15)), 1.28/0.56 inference(superposition,[],[f1048,f441])). 1.28/0.56 tff(f441,plain,( 1.28/0.56 sF25 = node(int,sF21,sF24) | ~spl30_10), 1.28/0.56 inference(avatar_component_clause,[],[f439])). 1.28/0.56 tff(f439,definition,( 1.28/0.56 spl30_10 <=> sF25 = node(int,sF21,sF24)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_10])],[avatar_definition])). 1.28/0.56 tff(f1048,plain,( 1.28/0.56 ( ! [X2 : uni,X0 : ty,X1 : uni] : (same_shape(X0,a1,sF23,node(X0,X1,X2)) | ~same_shape(X0,a1,sF20,X1) | ~same_shape(X0,a1,sF22,X2)) ) | ~spl30_15), 1.28/0.56 inference(superposition,[],[f292,f466])). 1.28/0.56 tff(f466,plain,( 1.28/0.56 node(a1,sF20,sF22) = sF23 | ~spl30_15), 1.28/0.56 inference(avatar_component_clause,[],[f464])). 1.28/0.56 tff(f464,definition,( 1.28/0.56 spl30_15 <=> node(a1,sF20,sF22) = sF23), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_15])],[avatar_definition])). 1.28/0.56 tff(f292,plain,( 1.28/0.56 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : uni,X4 : uni,X5 : ty] : (same_shape(X5,X2,node(X2,X3,X4),node(X5,X0,X1)) | ~same_shape(X5,X2,X4,X1) | ~same_shape(X5,X2,X3,X0)) )), 1.28/0.56 inference(cnf_transformation,[],[f199])). 1.28/0.56 tff(f199,plain,( 1.28/0.56 ! [X0 : uni,X1 : uni,X2 : ty,X3 : uni,X4 : uni,X5 : ty] : (~same_shape(X5,X2,X3,X0) | ~same_shape(X5,X2,X4,X1) | same_shape(X5,X2,node(X2,X3,X4),node(X5,X0,X1)))), 1.28/0.56 inference(rectify,[],[f141])). 1.28/0.56 tff(f141,plain,( 1.28/0.56 ! [X2 : uni,X0 : uni,X4 : ty,X3 : uni,X1 : uni,X5 : ty] : (~same_shape(X5,X4,X3,X2) | ~same_shape(X5,X4,X1,X0) | same_shape(X5,X4,node(X4,X3,X1),node(X5,X2,X0)))), 1.28/0.56 inference(flattening,[],[f140])). 1.28/0.56 tff(f140,plain,( 1.28/0.56 ! [X3 : uni,X5 : ty,X4 : ty,X2 : uni,X1 : uni,X0 : uni] : ((same_shape(X5,X4,node(X4,X3,X1),node(X5,X2,X0)) | ~same_shape(X5,X4,X1,X0)) | ~same_shape(X5,X4,X3,X2))), 1.28/0.56 inference(ennf_transformation,[],[f92])). 1.28/0.56 tff(f92,plain,( 1.28/0.56 ! [X3 : uni,X5 : ty,X4 : ty,X2 : uni,X1 : uni,X0 : uni] : (same_shape(X5,X4,X3,X2) => (same_shape(X5,X4,X1,X0) => same_shape(X5,X4,node(X4,X3,X1),node(X5,X2,X0))))), 1.28/0.56 inference(rectify,[],[f38])). 1.28/0.56 tff(f38,axiom,( 1.28/0.56 ! [X17 : uni,X15 : uni,X5 : uni,X4 : uni,X0 : ty,X19 : ty] : (same_shape(X19,X0,X4,X5) => (same_shape(X19,X0,X15,X17) => same_shape(X19,X0,node(X0,X4,X15),node(X19,X5,X17))))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f2705,plain,( 1.28/0.56 spl30_84 | ~spl30_85 | ~spl30_86 | ~spl30_15), 1.28/0.56 inference(avatar_split_clause,[],[f2683,f464,f2702,f2698,f2694])). 1.28/0.56 tff(f2694,definition,( 1.28/0.56 spl30_84 <=> same_shape(a1,a1,sF23,sF23)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_84])],[avatar_definition])). 1.28/0.56 tff(f2698,definition,( 1.28/0.56 spl30_85 <=> same_shape(a1,a1,sF20,sF20)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_85])],[avatar_definition])). 1.28/0.56 tff(f2702,definition,( 1.28/0.56 spl30_86 <=> same_shape(a1,a1,sF22,sF22)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_86])],[avatar_definition])). 1.28/0.56 tff(f2683,plain,( 1.28/0.56 same_shape(a1,a1,sF23,sF23) | ~same_shape(a1,a1,sF20,sF20) | ~same_shape(a1,a1,sF22,sF22) | ~spl30_15), 1.28/0.56 inference(superposition,[],[f1048,f466])). 1.28/0.56 tff(f2681,plain,( 1.28/0.56 ~spl30_81 | spl30_82 | ~spl30_83 | ~spl30_10 | ~spl30_15), 1.28/0.56 inference(avatar_split_clause,[],[f2646,f464,f439,f2678,f2674,f2670])). 1.28/0.56 tff(f2670,definition,( 1.28/0.56 spl30_81 <=> same_shape(a1,int,sF24,sF22)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_81])],[avatar_definition])). 1.28/0.56 tff(f2674,definition,( 1.28/0.56 spl30_82 <=> same_shape(a1,int,sF25,sF23)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_82])],[avatar_definition])). 1.28/0.56 tff(f2678,definition,( 1.28/0.56 spl30_83 <=> same_shape(a1,int,sF21,sF20)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_83])],[avatar_definition])). 1.28/0.56 tff(f2646,plain,( 1.28/0.56 same_shape(a1,int,sF25,sF23) | ~same_shape(a1,int,sF21,sF20) | ~same_shape(a1,int,sF24,sF22) | (~spl30_10 | ~spl30_15)), 1.28/0.56 inference(superposition,[],[f1047,f466])). 1.28/0.56 tff(f1047,plain,( 1.28/0.56 ( ! [X2 : uni,X0 : ty,X1 : uni] : (same_shape(X0,int,sF25,node(X0,X1,X2)) | ~same_shape(X0,int,sF24,X2) | ~same_shape(X0,int,sF21,X1)) ) | ~spl30_10), 1.28/0.56 inference(superposition,[],[f292,f441])). 1.28/0.56 tff(f2668,plain,( 1.28/0.56 ~spl30_78 | ~spl30_79 | spl30_80 | ~spl30_10), 1.28/0.56 inference(avatar_split_clause,[],[f2645,f439,f2665,f2661,f2657])). 1.28/0.56 tff(f2657,definition,( 1.28/0.56 spl30_78 <=> same_shape(int,int,sF21,sF21)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_78])],[avatar_definition])). 1.28/0.56 tff(f2661,definition,( 1.28/0.56 spl30_79 <=> same_shape(int,int,sF24,sF24)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_79])],[avatar_definition])). 1.28/0.56 tff(f2665,definition,( 1.28/0.56 spl30_80 <=> same_shape(int,int,sF25,sF25)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_80])],[avatar_definition])). 1.28/0.56 tff(f2645,plain,( 1.28/0.56 same_shape(int,int,sF25,sF25) | ~same_shape(int,int,sF24,sF24) | ~same_shape(int,int,sF21,sF21) | ~spl30_10), 1.28/0.56 inference(superposition,[],[f1047,f441])). 1.28/0.56 tff(f2642,plain,( 1.28/0.56 ~spl30_15 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2641])). 1.28/0.56 tff(f2641,plain,( 1.28/0.56 $false | (~spl30_15 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2632,f2107])). 1.28/0.56 tff(f2107,plain,( 1.28/0.56 ( ! [X0 : uni] : (sF20 = X0) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2093,f566])). 1.28/0.56 tff(f566,plain,( 1.28/0.56 ( ! [X0 : uni] : (sort(tree(a1),X0)) )), 1.28/0.56 inference(superposition,[],[f256,f283])). 1.28/0.56 tff(f283,plain,( 1.28/0.56 ( ! [X0 : uni] : (t2tb2(tb2t2(X0)) = X0) )), 1.28/0.56 inference(cnf_transformation,[],[f120])). 1.28/0.56 tff(f120,plain,( 1.28/0.56 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 1.28/0.56 inference(rectify,[],[f46])). 1.28/0.56 tff(f46,axiom,( 1.28/0.56 ! [X23 : uni] : t2tb2(tb2t2(X23)) = X23), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f256,plain,( 1.28/0.56 ( ! [X0 : tree_a1] : (sort(tree(a1),t2tb2(X0))) )), 1.28/0.56 inference(cnf_transformation,[],[f105])). 1.28/0.56 tff(f105,plain,( 1.28/0.56 ! [X0 : tree_a1] : sort(tree(a1),t2tb2(X0))), 1.28/0.56 inference(rectify,[],[f32])). 1.28/0.56 tff(f32,axiom,( 1.28/0.56 ! [X1 : tree_a1] : sort(tree(a1),t2tb2(X1))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f2093,plain,( 1.28/0.56 ( ! [X0 : uni] : (sF20 = X0 | ~sort(tree(a1),X0)) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(resolution,[],[f2062,f547])). 1.28/0.56 tff(f547,plain,( 1.28/0.56 sort(tree(a1),sF20) | ~spl30_29), 1.28/0.56 inference(avatar_component_clause,[],[f545])). 1.28/0.56 tff(f545,definition,( 1.28/0.56 spl30_29 <=> sort(tree(a1),sF20)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_29])],[avatar_definition])). 1.28/0.56 tff(f2062,plain,( 1.28/0.56 ( ! [X0 : uni,X1 : ty,X4 : uni] : (~sort(X1,X4) | X0 = X4 | ~sort(X1,X0)) ) | ~spl30_60), 1.28/0.56 inference(avatar_component_clause,[],[f2061])). 1.28/0.56 tff(f2061,definition,( 1.28/0.56 spl30_60 <=> ! [X4 : uni,X0 : uni,X1 : ty] : (X0 = X4 | ~sort(X1,X4) | ~sort(X1,X0))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_60])],[avatar_definition])). 1.28/0.56 tff(f2632,plain,( 1.28/0.56 ( ! [X1 : uni] : (sF20 != X1) ) | (~spl30_15 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(forward_demodulation,[],[f2520,f2107])). 1.28/0.56 tff(f2520,plain,( 1.28/0.56 ( ! [X1 : uni] : (sF23 != X1) ) | (~spl30_15 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2268,f2107])). 1.28/0.56 tff(f2268,plain,( 1.28/0.56 ( ! [X1 : uni] : (sF23 != X1 | sF20 != X1) ) | (~spl30_15 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f911,f2107])). 1.28/0.56 tff(f911,plain,( 1.28/0.56 ( ! [X0 : uni,X1 : uni] : (leaf(a1,X1) != X0 | sF23 != X0) ) | ~spl30_15), 1.28/0.56 inference(superposition,[],[f623,f885])). 1.28/0.56 tff(f885,plain,( 1.28/0.56 ( ! [X2 : uni,X0 : uni,X1 : ty] : (leaf(X1,leaf_proj_1(X1,X0)) = X0 | leaf(X1,X2) != X0) )), 1.28/0.56 inference(superposition,[],[f253,f258])). 1.28/0.56 tff(f258,plain,( 1.28/0.56 ( ! [X0 : uni,X1 : ty] : (node(X1,node_proj_1(X1,X0),node_proj_2(X1,X0)) = X0 | leaf(X1,leaf_proj_1(X1,X0)) = X0) )), 1.28/0.56 inference(cnf_transformation,[],[f183])). 1.28/0.56 tff(f183,plain,( 1.28/0.56 ! [X0 : uni,X1 : ty] : (leaf(X1,leaf_proj_1(X1,X0)) = X0 | node(X1,node_proj_1(X1,X0),node_proj_2(X1,X0)) = X0)), 1.28/0.56 inference(rectify,[],[f102])). 1.28/0.56 tff(f102,plain,( 1.28/0.56 ! [X1 : uni,X0 : ty] : (leaf(X0,leaf_proj_1(X0,X1)) = X1 | node(X0,node_proj_1(X0,X1),node_proj_2(X0,X1)) = X1)), 1.28/0.56 inference(rectify,[],[f48])). 1.28/0.56 tff(f48,axiom,( 1.28/0.56 ! [X0 : ty,X6 : uni] : (leaf(X0,leaf_proj_1(X0,X6)) = X6 | node(X0,node_proj_1(X0,X6),node_proj_2(X0,X6)) = X6)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f253,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : ty,X0 : uni,X1 : uni] : (leaf(X3,X0) != node(X3,X1,X2)) )), 1.28/0.56 inference(cnf_transformation,[],[f181])). 1.28/0.56 tff(f181,plain,( 1.28/0.56 ! [X0 : uni,X1 : uni,X2 : uni,X3 : ty] : leaf(X3,X0) != node(X3,X1,X2)), 1.28/0.56 inference(rectify,[],[f89])). 1.28/0.56 tff(f89,plain,( 1.28/0.56 ! [X0 : uni,X2 : uni,X1 : uni,X3 : ty] : leaf(X3,X0) != node(X3,X2,X1)), 1.28/0.56 inference(rectify,[],[f35])). 1.28/0.56 tff(f35,axiom,( 1.28/0.56 ! [X6 : uni,X22 : uni,X21 : uni,X0 : ty] : leaf(X0,X6) != node(X0,X21,X22)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f623,plain,( 1.28/0.56 ( ! [X0 : uni] : (sF23 != leaf(a1,X0)) ) | ~spl30_15), 1.28/0.56 inference(superposition,[],[f253,f466])). 1.28/0.56 tff(f2638,plain,( 1.28/0.56 spl30_62 | ~spl30_69 | spl30_77 | ~spl30_14 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2575,f2061,f545,f459,f2634,f2506,f2451])). 1.28/0.56 tff(f2451,definition,( 1.28/0.56 spl30_62 <=> distinct(int,sF20)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_62])],[avatar_definition])). 1.28/0.56 tff(f2506,definition,( 1.28/0.56 spl30_69 <=> mem(int,sF20,sF28)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_69])],[avatar_definition])). 1.28/0.56 tff(f2634,definition,( 1.28/0.56 spl30_77 <=> ! [X0 : uni] : ~distinct(int,X0)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_77])],[avatar_definition])). 1.28/0.56 tff(f459,definition,( 1.28/0.56 spl30_14 <=> distinct(int,sF29)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_14])],[avatar_definition])). 1.28/0.56 tff(f2575,plain,( 1.28/0.56 ( ! [X0 : uni] : (~distinct(int,X0) | ~mem(int,sF20,sF28) | distinct(int,sF20)) ) | (~spl30_14 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(forward_demodulation,[],[f2377,f2107])). 1.28/0.56 tff(f2377,plain,( 1.28/0.56 ( ! [X0 : uni] : (~distinct(int,X0) | ~mem(int,sF20,sF28) | distinct(int,infix_plpl(int,sF29,X0))) ) | (~spl30_14 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f957,f2107])). 1.28/0.56 tff(f957,plain,( 1.28/0.56 ( ! [X0 : uni] : (~mem(int,sK0(X0,int,sF29),sF28) | ~distinct(int,X0) | distinct(int,infix_plpl(int,sF29,X0))) ) | ~spl30_14), 1.28/0.56 inference(subsumption_resolution,[],[f947,f461])). 1.28/0.56 tff(f461,plain,( 1.28/0.56 distinct(int,sF29) | ~spl30_14), 1.28/0.56 inference(avatar_component_clause,[],[f459])). 1.28/0.56 tff(f947,plain,( 1.28/0.56 ( ! [X0 : uni] : (distinct(int,infix_plpl(int,sF29,X0)) | ~distinct(int,X0) | ~distinct(int,sF29) | ~mem(int,sK0(X0,int,sF29),sF28)) )), 1.28/0.56 inference(resolution,[],[f249,f595])). 1.28/0.56 tff(f595,plain,( 1.28/0.56 ( ! [X0 : uni] : (~mem(int,X0,sF29) | ~mem(int,X0,sF28)) )), 1.28/0.56 inference(resolution,[],[f585,f582])). 1.28/0.56 tff(f582,plain,( 1.28/0.56 ( ! [X0 : uni] : (~$less(sK1,tb2t3(X0)) | ~mem(int,X0,sF29)) )), 1.28/0.56 inference(superposition,[],[f393,f301])). 1.28/0.56 tff(f301,plain,( 1.28/0.56 ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )), 1.28/0.56 inference(cnf_transformation,[],[f103])). 1.28/0.56 tff(f103,plain,( 1.28/0.56 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 1.28/0.56 inference(rectify,[],[f39])). 1.28/0.56 tff(f39,axiom,( 1.28/0.56 ! [X23 : uni] : t2tb3(tb2t3(X23)) = X23), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f393,plain,( 1.28/0.56 ( ! [X9 : $int] : (~mem(int,t2tb3(X9),sF29) | ~$less(sK1,X9)) )), 1.28/0.56 inference(definition_folding,[],[f269,f389,f379])). 1.28/0.56 tff(f379,definition,( 1.28/0.56 t2tb(sK4) = sF24), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF24])],[function_definition])). 1.28/0.56 tff(f389,definition,( 1.28/0.56 sF29 = labels(int,sF24)), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF29])],[function_definition])). 1.28/0.56 tff(f269,plain,( 1.28/0.56 ( ! [X9 : $int] : (~$less(sK1,X9) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))) )), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f192,plain,( 1.28/0.56 ~$less(sK1,sK2) & (same_shape(int,a1,t2tb2(sK3),t2tb(sK6)) & ~$less(sK7,sK1) & (~same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK5)),node(int,t2tb(sK6),t2tb(sK4))) | (mem(int,t2tb3(sK8),labels(int,node(int,t2tb(sK6),t2tb(sK4)))) & (~$less(sK2,sK8) | $less(sK7,sK8))) | $less(sK7,sK2) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4))))) & distinct(int,labels(int,t2tb(sK6))) & ! [X8 : $int] : (($less(sK1,X8) & ~$less(sK7,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6))))) & distinct(int,labels(int,t2tb(sK4))) & same_shape(int,a1,t2tb2(sK5),t2tb(sK4)) & ! [X9 : $int] : (($less(sK2,X9) & ~$less(sK1,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4))))), 1.28/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f188,f191,f190,f189])). 1.28/0.56 tff(f189,plain,( 1.28/0.56 ? [X0 : $int,X1 : $int,X2 : tree_a1,X3 : tree_int,X4 : tree_a1] : (~$less(X0,X1) & ? [X5 : tree_int,X6 : $int] : (same_shape(int,a1,t2tb2(X2),t2tb(X5)) & ~$less(X6,X0) & (~same_shape(int,a1,node(a1,t2tb2(X2),t2tb2(X4)),node(int,t2tb(X5),t2tb(X3))) | ? [X7 : $int] : (mem(int,t2tb3(X7),labels(int,node(int,t2tb(X5),t2tb(X3)))) & (~$less(X1,X7) | $less(X6,X7))) | $less(X6,X1) | ~distinct(int,labels(int,node(int,t2tb(X5),t2tb(X3))))) & distinct(int,labels(int,t2tb(X5))) & ! [X8 : $int] : (($less(X0,X8) & ~$less(X6,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X5))))) & distinct(int,labels(int,t2tb(X3))) & same_shape(int,a1,t2tb2(X4),t2tb(X3)) & ! [X9 : $int] : (($less(X1,X9) & ~$less(X0,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X3))))) => (~$less(sK1,sK2) & ? [X6 : $int,X5 : tree_int] : (same_shape(int,a1,t2tb2(sK3),t2tb(X5)) & ~$less(X6,sK1) & (~same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK5)),node(int,t2tb(X5),t2tb(sK4))) | ? [X7 : $int] : (mem(int,t2tb3(X7),labels(int,node(int,t2tb(X5),t2tb(sK4)))) & (~$less(sK2,X7) | $less(X6,X7))) | $less(X6,sK2) | ~distinct(int,labels(int,node(int,t2tb(X5),t2tb(sK4))))) & distinct(int,labels(int,t2tb(X5))) & ! [X8 : $int] : (($less(sK1,X8) & ~$less(X6,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X5))))) & distinct(int,labels(int,t2tb(sK4))) & same_shape(int,a1,t2tb2(sK5),t2tb(sK4)) & ! [X9 : $int] : (($less(sK2,X9) & ~$less(sK1,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))))), 1.28/0.56 introduced(definition,[],[choice_axiom])). 1.28/0.56 tff(f190,plain,( 1.28/0.56 ? [X6 : $int,X5 : tree_int] : (same_shape(int,a1,t2tb2(sK3),t2tb(X5)) & ~$less(X6,sK1) & (~same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK5)),node(int,t2tb(X5),t2tb(sK4))) | ? [X7 : $int] : (mem(int,t2tb3(X7),labels(int,node(int,t2tb(X5),t2tb(sK4)))) & (~$less(sK2,X7) | $less(X6,X7))) | $less(X6,sK2) | ~distinct(int,labels(int,node(int,t2tb(X5),t2tb(sK4))))) & distinct(int,labels(int,t2tb(X5))) & ! [X8 : $int] : (($less(sK1,X8) & ~$less(X6,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X5))))) => (same_shape(int,a1,t2tb2(sK3),t2tb(sK6)) & ~$less(sK7,sK1) & (~same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK5)),node(int,t2tb(sK6),t2tb(sK4))) | ? [X7 : $int] : (mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK6),t2tb(sK4)))) & (~$less(sK2,X7) | $less(sK7,X7))) | $less(sK7,sK2) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4))))) & distinct(int,labels(int,t2tb(sK6))) & ! [X8 : $int] : (($less(sK1,X8) & ~$less(sK7,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))))), 1.28/0.56 introduced(definition,[],[choice_axiom])). 1.28/0.56 tff(f191,plain,( 1.28/0.56 ? [X7 : $int] : (mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK6),t2tb(sK4)))) & (~$less(sK2,X7) | $less(sK7,X7))) => (mem(int,t2tb3(sK8),labels(int,node(int,t2tb(sK6),t2tb(sK4)))) & (~$less(sK2,sK8) | $less(sK7,sK8)))), 1.28/0.56 introduced(definition,[],[choice_axiom])). 1.28/0.56 tff(f188,plain,( 1.28/0.56 ? [X0 : $int,X1 : $int,X2 : tree_a1,X3 : tree_int,X4 : tree_a1] : (~$less(X0,X1) & ? [X5 : tree_int,X6 : $int] : (same_shape(int,a1,t2tb2(X2),t2tb(X5)) & ~$less(X6,X0) & (~same_shape(int,a1,node(a1,t2tb2(X2),t2tb2(X4)),node(int,t2tb(X5),t2tb(X3))) | ? [X7 : $int] : (mem(int,t2tb3(X7),labels(int,node(int,t2tb(X5),t2tb(X3)))) & (~$less(X1,X7) | $less(X6,X7))) | $less(X6,X1) | ~distinct(int,labels(int,node(int,t2tb(X5),t2tb(X3))))) & distinct(int,labels(int,t2tb(X5))) & ! [X8 : $int] : (($less(X0,X8) & ~$less(X6,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X5))))) & distinct(int,labels(int,t2tb(X3))) & same_shape(int,a1,t2tb2(X4),t2tb(X3)) & ! [X9 : $int] : (($less(X1,X9) & ~$less(X0,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X3)))))), 1.28/0.56 inference(rectify,[],[f139])). 1.28/0.56 tff(f139,plain,( 1.28/0.56 ? [X2 : $int,X3 : $int,X1 : tree_a1,X4 : tree_int,X0 : tree_a1] : (~$less(X2,X3) & ? [X7 : tree_int,X6 : $int] : (same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X2) & (~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X0)),node(int,t2tb(X7),t2tb(X4))) | ? [X9 : $int] : (mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) & (~$less(X3,X9) | $less(X6,X9))) | $less(X6,X3) | ~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4))))) & distinct(int,labels(int,t2tb(X7))) & ! [X8 : $int] : (($less(X2,X8) & ~$less(X6,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7))))) & distinct(int,labels(int,t2tb(X4))) & same_shape(int,a1,t2tb2(X0),t2tb(X4)) & ! [X5 : $int] : (($less(X3,X5) & ~$less(X2,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4)))))), 1.28/0.56 inference(flattening,[],[f138])). 1.28/0.56 tff(f138,plain,( 1.28/0.56 ? [X0 : tree_a1,X1 : tree_a1,X3 : $int,X4 : tree_int,X2 : $int] : (? [X6 : $int,X7 : tree_int] : ((~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X0)),node(int,t2tb(X7),t2tb(X4))) | ? [X9 : $int] : (mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) & (~$less(X3,X9) | $less(X6,X9))) | $less(X6,X3) | ~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4))))) & (same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X2) & distinct(int,labels(int,t2tb(X7))) & ! [X8 : $int] : (($less(X2,X8) & ~$less(X6,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7)))))) & (! [X5 : $int] : (($less(X3,X5) & ~$less(X2,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4)))) & distinct(int,labels(int,t2tb(X4))) & ~$less(X2,X3) & same_shape(int,a1,t2tb2(X0),t2tb(X4))))), 1.28/0.56 inference(ennf_transformation,[],[f130])). 1.28/0.56 tff(f130,plain,( 1.28/0.56 ~! [X0 : tree_a1,X1 : tree_a1,X3 : $int,X4 : tree_int,X2 : $int] : ((! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X4))) => ($less(X3,X5) & ~$less(X2,X5))) & distinct(int,labels(int,t2tb(X4))) & ~$less(X2,X3) & same_shape(int,a1,t2tb2(X0),t2tb(X4))) => ! [X6 : $int,X7 : tree_int] : ((same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X2) & distinct(int,labels(int,t2tb(X7))) & ! [X8 : $int] : (mem(int,t2tb3(X8),labels(int,t2tb(X7))) => ($less(X2,X8) & ~$less(X6,X8)))) => (! [X9 : $int] : (mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) => (~$less(X6,X9) & $less(X3,X9))) & ~$less(X6,X3) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X0)),node(int,t2tb(X7),t2tb(X4))) & distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))))))), 1.28/0.56 inference(rectify,[],[f75])). 1.28/0.56 tff(f75,plain,( 1.28/0.56 ~! [X2 : tree_a1,X1 : tree_a1,X15 : $int,X11 : $int,X16 : tree_int] : ((~$less(X15,X11) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X16))) => ($less(X11,X13) & ~$less(X15,X13))) & distinct(int,labels(int,t2tb(X16))) & same_shape(int,a1,t2tb2(X2),t2tb(X16))) => ! [X17 : $int,X18 : tree_int] : ((~$less(X17,X15) & same_shape(int,a1,t2tb2(X1),t2tb(X18)) & distinct(int,labels(int,t2tb(X18))) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X18))) => (~$less(X17,X13) & $less(X15,X13)))) => (distinct(int,labels(int,node(int,t2tb(X18),t2tb(X16)))) & ~$less(X17,X11) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,node(int,t2tb(X18),t2tb(X16)))) => ($less(X11,X13) & ~$less(X17,X13))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X18),t2tb(X16))))))), 1.28/0.56 inference(theory_normalization,[],[f18])). 1.28/0.56 tff(f18,negated_conjecture,( 1.28/0.56 ~! [X2 : tree_a1,X1 : tree_a1,X15 : $int,X11 : $int,X16 : tree_int] : (($lesseq(X11,X15) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X16))) => ($less(X11,X13) & $lesseq(X13,X15))) & distinct(int,labels(int,t2tb(X16))) & same_shape(int,a1,t2tb2(X2),t2tb(X16))) => ! [X17 : $int,X18 : tree_int] : (($lesseq(X15,X17) & same_shape(int,a1,t2tb2(X1),t2tb(X18)) & distinct(int,labels(int,t2tb(X18))) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X18))) => ($lesseq(X13,X17) & $less(X15,X13)))) => (distinct(int,labels(int,node(int,t2tb(X18),t2tb(X16)))) & $lesseq(X11,X17) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,node(int,t2tb(X18),t2tb(X16)))) => ($less(X11,X13) & $lesseq(X13,X17))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X18),t2tb(X16))))))), 1.28/0.56 inference(negated_conjecture,[status(cth)],[f17])). 1.28/0.56 tff(f17,conjecture,( 1.28/0.56 ! [X2 : tree_a1,X1 : tree_a1,X15 : $int,X11 : $int,X16 : tree_int] : (($lesseq(X11,X15) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X16))) => ($less(X11,X13) & $lesseq(X13,X15))) & distinct(int,labels(int,t2tb(X16))) & same_shape(int,a1,t2tb2(X2),t2tb(X16))) => ! [X17 : $int,X18 : tree_int] : (($lesseq(X15,X17) & same_shape(int,a1,t2tb2(X1),t2tb(X18)) & distinct(int,labels(int,t2tb(X18))) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X18))) => ($lesseq(X13,X17) & $less(X15,X13)))) => (distinct(int,labels(int,node(int,t2tb(X18),t2tb(X16)))) & $lesseq(X11,X17) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,node(int,t2tb(X18),t2tb(X16)))) => ($less(X11,X13) & $lesseq(X13,X17))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X18),t2tb(X16))))))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f585,plain,( 1.28/0.56 ( ! [X0 : uni] : ($less(sK1,tb2t3(X0)) | ~mem(int,X0,sF28)) )), 1.28/0.56 inference(superposition,[],[f387,f301])). 1.28/0.56 tff(f387,plain,( 1.28/0.56 ( ! [X8 : $int] : (~mem(int,t2tb3(X8),sF28) | $less(sK1,X8)) )), 1.28/0.56 inference(definition_folding,[],[f274,f385,f375])). 1.28/0.56 tff(f375,definition,( 1.28/0.56 sF21 = t2tb(sK6)), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF21])],[function_definition])). 1.28/0.56 tff(f385,definition,( 1.28/0.56 labels(int,sF21) = sF28), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF28])],[function_definition])). 1.28/0.56 tff(f274,plain,( 1.28/0.56 ( ! [X8 : $int] : ($less(sK1,X8) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) )), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f249,plain,( 1.28/0.56 ( ! [X2 : uni,X0 : uni,X1 : ty] : (mem(X1,sK0(X0,X1,X2),X2) | ~distinct(X1,X2) | ~distinct(X1,X0) | distinct(X1,infix_plpl(X1,X2,X0))) )), 1.28/0.56 inference(cnf_transformation,[],[f177])). 1.28/0.56 tff(f177,plain,( 1.28/0.56 ! [X0 : uni,X1 : ty,X2 : uni] : (distinct(X1,infix_plpl(X1,X2,X0)) | (mem(X1,sK0(X0,X1,X2),X2) & sort(X1,sK0(X0,X1,X2)) & mem(X1,sK0(X0,X1,X2),X0)) | ~distinct(X1,X2) | ~distinct(X1,X0))), 1.28/0.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f175,f176])). 1.28/0.56 tff(f176,plain,( 1.28/0.56 ! [X0 : uni,X1 : ty,X2 : uni] : (? [X3 : uni] : (mem(X1,X3,X2) & sort(X1,X3) & mem(X1,X3,X0)) => (mem(X1,sK0(X0,X1,X2),X2) & sort(X1,sK0(X0,X1,X2)) & mem(X1,sK0(X0,X1,X2),X0)))), 1.28/0.56 introduced(definition,[],[choice_axiom])). 1.28/0.56 tff(f175,plain,( 1.28/0.56 ! [X0 : uni,X1 : ty,X2 : uni] : (distinct(X1,infix_plpl(X1,X2,X0)) | ? [X3 : uni] : (mem(X1,X3,X2) & sort(X1,X3) & mem(X1,X3,X0)) | ~distinct(X1,X2) | ~distinct(X1,X0))), 1.28/0.56 inference(rectify,[],[f154])). 1.28/0.56 tff(f154,plain,( 1.28/0.56 ! [X2 : uni,X0 : ty,X1 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | ? [X3 : uni] : (mem(X0,X3,X1) & sort(X0,X3) & mem(X0,X3,X2)) | ~distinct(X0,X1) | ~distinct(X0,X2))), 1.28/0.56 inference(flattening,[],[f153])). 1.28/0.56 tff(f153,plain,( 1.28/0.56 ! [X0 : ty,X2 : uni,X1 : 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))), 1.28/0.56 inference(ennf_transformation,[],[f129])). 1.28/0.56 tff(f129,plain,( 1.28/0.56 ! [X0 : ty,X2 : uni,X1 : 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)))))), 1.28/0.56 inference(rectify,[],[f43])). 1.28/0.56 tff(f43,axiom,( 1.28/0.56 ! [X0 : ty,X4 : uni,X5 : uni] : (distinct(X0,X4) => (distinct(X0,X5) => (! [X1 : uni] : (sort(X0,X1) => (mem(X0,X1,X4) => ~mem(X0,X1,X5))) => distinct(X0,infix_plpl(X0,X4,X5)))))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f2636,plain,( 1.28/0.56 spl30_77 | ~spl30_69 | spl30_62 | ~spl30_14 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2536,f2061,f545,f459,f2451,f2506,f2634])). 1.28/0.56 tff(f2536,plain,( 1.28/0.56 ( ! [X0 : uni] : (~distinct(int,X0) | distinct(int,sF20) | ~mem(int,sF20,sF28)) ) | (~spl30_14 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(forward_demodulation,[],[f2378,f2107])). 1.28/0.56 tff(f2378,plain,( 1.28/0.56 ( ! [X0 : uni] : (~mem(int,sF20,sF28) | ~distinct(int,X0) | distinct(int,infix_plpl(int,X0,sF29))) ) | (~spl30_14 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f940,f2107])). 1.28/0.56 tff(f940,plain,( 1.28/0.56 ( ! [X0 : uni] : (~mem(int,sK0(sF29,int,X0),sF28) | ~distinct(int,X0) | distinct(int,infix_plpl(int,X0,sF29))) ) | ~spl30_14), 1.28/0.56 inference(subsumption_resolution,[],[f933,f461])). 1.28/0.56 tff(f933,plain,( 1.28/0.56 ( ! [X0 : uni] : (distinct(int,infix_plpl(int,X0,sF29)) | ~distinct(int,sF29) | ~distinct(int,X0) | ~mem(int,sK0(sF29,int,X0),sF28)) )), 1.28/0.56 inference(resolution,[],[f247,f595])). 1.28/0.56 tff(f247,plain,( 1.28/0.56 ( ! [X2 : uni,X0 : uni,X1 : ty] : (mem(X1,sK0(X0,X1,X2),X0) | ~distinct(X1,X0) | distinct(X1,infix_plpl(X1,X2,X0)) | ~distinct(X1,X2)) )), 1.28/0.56 inference(cnf_transformation,[],[f177])). 1.28/0.56 tff(f2628,plain,( 1.28/0.56 ~spl30_76 | spl30_6 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2441,f2061,f545,f422,f2625])). 1.28/0.56 tff(f2625,definition,( 1.28/0.56 spl30_76 <=> same_shape(int,a1,sF20,sF25)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_76])],[avatar_definition])). 1.28/0.56 tff(f2441,plain,( 1.28/0.56 ~same_shape(int,a1,sF20,sF25) | (spl30_6 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f424,f2107])). 1.28/0.56 tff(f2618,plain,( 1.28/0.56 spl30_69 | spl30_65 | ~spl30_63 | ~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2369,f2061,f545,f489,f454,f439,f412,f2467,f2480,f2506])). 1.28/0.56 tff(f2480,definition,( 1.28/0.56 spl30_65 <=> ! [X0 : $int] : $less(sK2,X0)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_65])],[avatar_definition])). 1.28/0.56 tff(f2467,definition,( 1.28/0.56 spl30_63 <=> mem(int,sF20,sF27)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_63])],[avatar_definition])). 1.28/0.56 tff(f412,definition,( 1.28/0.56 spl30_4 <=> sF29 = labels(int,sF24)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_4])],[avatar_definition])). 1.28/0.56 tff(f454,definition,( 1.28/0.56 spl30_13 <=> labels(int,sF25) = sF27), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_13])],[avatar_definition])). 1.28/0.56 tff(f489,definition,( 1.28/0.56 spl30_20 <=> labels(int,sF21) = sF28), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_20])],[avatar_definition])). 1.28/0.56 tff(f2369,plain,( 1.28/0.56 ( ! [X0 : $int] : (~mem(int,sF20,sF27) | $less(sK2,X0) | mem(int,sF20,sF28)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f1190,f2107])). 1.28/0.56 tff(f1190,plain,( 1.28/0.56 ( ! [X0 : $int] : (mem(int,t2tb3(X0),sF28) | $less(sK2,X0) | ~mem(int,t2tb3(X0),sF27)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(resolution,[],[f1187,f392])). 1.28/0.56 tff(f392,plain,( 1.28/0.56 ( ! [X9 : $int] : (~mem(int,t2tb3(X9),sF29) | $less(sK2,X9)) )), 1.28/0.56 inference(definition_folding,[],[f270,f389,f379])). 1.28/0.56 tff(f270,plain,( 1.28/0.56 ( ! [X9 : $int] : ($less(sK2,X9) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK4)))) )), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f1187,plain,( 1.28/0.56 ( ! [X0 : uni] : (mem(int,X0,sF29) | ~mem(int,X0,sF27) | mem(int,X0,sF28)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(forward_demodulation,[],[f1186,f414])). 1.28/0.56 tff(f414,plain,( 1.28/0.56 sF29 = labels(int,sF24) | ~spl30_4), 1.28/0.56 inference(avatar_component_clause,[],[f412])). 1.28/0.56 tff(f1186,plain,( 1.28/0.56 ( ! [X0 : uni] : (mem(int,X0,labels(int,sF24)) | mem(int,X0,sF28) | ~mem(int,X0,sF27)) ) | (~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(forward_demodulation,[],[f1185,f491])). 1.28/0.56 tff(f491,plain,( 1.28/0.56 labels(int,sF21) = sF28 | ~spl30_20), 1.28/0.56 inference(avatar_component_clause,[],[f489])). 1.28/0.56 tff(f1185,plain,( 1.28/0.56 ( ! [X0 : uni] : (~mem(int,X0,sF27) | mem(int,X0,labels(int,sF21)) | mem(int,X0,labels(int,sF24))) ) | (~spl30_10 | ~spl30_13)), 1.28/0.56 inference(forward_demodulation,[],[f1178,f456])). 1.28/0.56 tff(f456,plain,( 1.28/0.56 labels(int,sF25) = sF27 | ~spl30_13), 1.28/0.56 inference(avatar_component_clause,[],[f454])). 1.28/0.56 tff(f1178,plain,( 1.28/0.56 ( ! [X0 : uni] : (~mem(int,X0,labels(int,sF25)) | mem(int,X0,labels(int,sF24)) | mem(int,X0,labels(int,sF21))) ) | ~spl30_10), 1.28/0.56 inference(superposition,[],[f360,f441])). 1.28/0.56 tff(f360,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (~mem(X1,X0,labels(X1,node(X1,X2,X3))) | mem(X1,X0,labels(X1,X2)) | mem(X1,X0,labels(X1,X3))) )), 1.28/0.56 inference(cnf_transformation,[],[f226])). 1.28/0.56 tff(f226,plain,( 1.28/0.56 ! [X0 : uni,X1 : ty,X2 : uni,X3 : uni] : ((mem(X1,X0,labels(X1,node(X1,X2,X3))) | (~mem(X1,X0,labels(X1,X2)) & ~mem(X1,X0,labels(X1,X3)))) & (mem(X1,X0,labels(X1,X2)) | mem(X1,X0,labels(X1,X3)) | ~mem(X1,X0,labels(X1,node(X1,X2,X3)))))), 1.28/0.56 inference(rectify,[],[f225])). 1.28/0.56 tff(f225,plain,( 1.28/0.56 ! [X0 : uni,X2 : ty,X1 : uni,X3 : uni] : ((mem(X2,X0,labels(X2,node(X2,X1,X3))) | (~mem(X2,X0,labels(X2,X1)) & ~mem(X2,X0,labels(X2,X3)))) & (mem(X2,X0,labels(X2,X1)) | mem(X2,X0,labels(X2,X3)) | ~mem(X2,X0,labels(X2,node(X2,X1,X3)))))), 1.28/0.56 inference(flattening,[],[f224])). 1.28/0.56 tff(f224,plain,( 1.28/0.56 ! [X0 : uni,X2 : ty,X1 : uni,X3 : uni] : ((mem(X2,X0,labels(X2,node(X2,X1,X3))) | (~mem(X2,X0,labels(X2,X1)) & ~mem(X2,X0,labels(X2,X3)))) & ((mem(X2,X0,labels(X2,X1)) | mem(X2,X0,labels(X2,X3))) | ~mem(X2,X0,labels(X2,node(X2,X1,X3)))))), 1.28/0.56 inference(nnf_transformation,[],[f81])). 1.28/0.56 tff(f81,plain,( 1.28/0.56 ! [X0 : uni,X2 : ty,X1 : uni,X3 : uni] : (mem(X2,X0,labels(X2,node(X2,X1,X3))) <=> (mem(X2,X0,labels(X2,X1)) | mem(X2,X0,labels(X2,X3))))), 1.28/0.56 inference(rectify,[],[f9])). 1.28/0.56 tff(f9,axiom,( 1.28/0.56 ! [X1 : uni,X3 : uni,X0 : ty,X11 : uni] : ((mem(X0,X1,labels(X0,X11)) | mem(X0,X1,labels(X0,X3))) <=> mem(X0,X1,labels(X0,node(X0,X3,X11))))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f2616,plain,( 1.28/0.56 ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2615])). 1.28/0.56 tff(f2615,plain,( 1.28/0.56 $false | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2163,f2107])). 1.28/0.56 tff(f2163,plain,( 1.28/0.56 ( ! [X0 : ty] : (nil(X0) != sF20) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f282,f2107])). 1.28/0.56 tff(f282,plain,( 1.28/0.56 ( ! [X2 : ty,X0 : uni,X1 : uni] : (cons(X2,X0,X1) != nil(X2)) )), 1.28/0.56 inference(cnf_transformation,[],[f194])). 1.28/0.56 tff(f194,plain,( 1.28/0.56 ! [X0 : uni,X1 : uni,X2 : ty] : cons(X2,X0,X1) != nil(X2)), 1.28/0.56 inference(rectify,[],[f116])). 1.28/0.56 tff(f116,plain,( 1.28/0.56 ! [X2 : uni,X0 : uni,X1 : ty] : cons(X1,X2,X0) != nil(X1)), 1.28/0.56 inference(rectify,[],[f44])). 1.28/0.56 tff(f44,axiom,( 1.28/0.56 ! [X22 : uni,X0 : ty,X21 : uni] : nil(X0) != cons(X0,X21,X22)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f2610,plain,( 1.28/0.56 spl30_62 | ~spl30_29 | ~spl30_44 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2248,f2061,f983,f545,f2451])). 1.28/0.56 tff(f983,definition,( 1.28/0.56 spl30_44 <=> distinct(int,infix_plpl(int,sF29,sF28))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_44])],[avatar_definition])). 1.28/0.56 tff(f2248,plain,( 1.28/0.56 distinct(int,sF20) | (~spl30_29 | ~spl30_44 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f985,f2107])). 1.28/0.56 tff(f985,plain,( 1.28/0.56 distinct(int,infix_plpl(int,sF29,sF28)) | ~spl30_44), 1.28/0.56 inference(avatar_component_clause,[],[f983])). 1.28/0.56 tff(f2605,plain,( 1.28/0.56 spl30_75 | ~spl30_11 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2435,f2061,f545,f444,f2602])). 1.28/0.56 tff(f2602,definition,( 1.28/0.56 spl30_75 <=> same_shape(int,a1,sF20,sF24)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_75])],[avatar_definition])). 1.28/0.56 tff(f2435,plain,( 1.28/0.56 same_shape(int,a1,sF20,sF24) | (~spl30_11 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f446,f2107])). 1.28/0.56 tff(f2600,plain,( 1.28/0.56 spl30_62 | ~spl30_29 | ~spl30_43 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2247,f2061,f966,f545,f2451])). 1.28/0.56 tff(f966,definition,( 1.28/0.56 spl30_43 <=> distinct(int,infix_plpl(int,sF28,sF29))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_43])],[avatar_definition])). 1.28/0.56 tff(f2247,plain,( 1.28/0.56 distinct(int,sF20) | (~spl30_29 | ~spl30_43 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f968,f2107])). 1.28/0.56 tff(f968,plain,( 1.28/0.56 distinct(int,infix_plpl(int,sF28,sF29)) | ~spl30_43), 1.28/0.56 inference(avatar_component_clause,[],[f966])). 1.28/0.56 tff(f2598,plain,( 1.28/0.56 ~spl30_63 | spl30_69 | spl30_70 | ~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2368,f2061,f545,f489,f454,f439,f412,f2539,f2506,f2467])). 1.28/0.56 tff(f2539,definition,( 1.28/0.56 spl30_70 <=> ! [X0 : $int] : ~$less(sK1,X0)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_70])],[avatar_definition])). 1.28/0.56 tff(f2368,plain,( 1.28/0.56 ( ! [X0 : $int] : (~mem(int,sF20,sF27) | mem(int,sF20,sF28) | ~$less(sK1,X0)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f1189,f2107])). 1.28/0.56 tff(f1189,plain,( 1.28/0.56 ( ! [X0 : $int] : (mem(int,t2tb3(X0),sF28) | ~$less(sK1,X0) | ~mem(int,t2tb3(X0),sF27)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(resolution,[],[f1187,f393])). 1.28/0.56 tff(f2596,plain,( 1.28/0.56 ~spl30_69 | spl30_74 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2365,f2061,f545,f2594,f2506])). 1.28/0.56 tff(f2594,definition,( 1.28/0.56 spl30_74 <=> ! [X0 : $int] : ~$less(sK7,X0)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_74])],[avatar_definition])). 1.28/0.56 tff(f2365,plain,( 1.28/0.56 ( ! [X0 : $int] : (~mem(int,sF20,sF28) | ~$less(sK7,X0)) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f388,f2107])). 1.28/0.56 tff(f388,plain,( 1.28/0.56 ( ! [X8 : $int] : (~mem(int,t2tb3(X8),sF28) | ~$less(sK7,X8)) )), 1.28/0.56 inference(definition_folding,[],[f273,f385,f375])). 1.28/0.56 tff(f273,plain,( 1.28/0.56 ( ! [X8 : $int] : (~$less(sK7,X8) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK6)))) )), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f2582,plain,( 1.28/0.56 ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2581])). 1.28/0.56 tff(f2581,plain,( 1.28/0.56 $false | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2283,f2107])). 1.28/0.56 tff(f2283,plain,( 1.28/0.56 ( ! [X0 : ty,X1 : uni] : (leaf(X0,X1) != sF20) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f253,f2107])). 1.28/0.56 tff(f2576,plain,( 1.28/0.56 ~spl30_69 | spl30_26 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2445,f2061,f545,f525,f2506])). 1.28/0.56 tff(f525,definition,( 1.28/0.56 spl30_26 <=> mem(int,sF26,sF28)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_26])],[avatar_definition])). 1.28/0.56 tff(f2445,plain,( 1.28/0.56 ~mem(int,sF20,sF28) | (spl30_26 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f527,f2107])). 1.28/0.56 tff(f527,plain,( 1.28/0.56 ~mem(int,sF26,sF28) | spl30_26), 1.28/0.56 inference(avatar_component_clause,[],[f525])). 1.28/0.56 tff(f2567,plain,( 1.28/0.56 ~spl30_63 | spl30_73 | ~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2370,f2061,f545,f489,f454,f439,f412,f2565,f2467])). 1.28/0.56 tff(f2565,definition,( 1.28/0.56 spl30_73 <=> ! [X0 : $int] : (~$less(sK1,X0) | ~$less(sK7,X0))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_73])],[avatar_definition])). 1.28/0.56 tff(f2370,plain,( 1.28/0.56 ( ! [X0 : $int] : (~$less(sK1,X0) | ~$less(sK7,X0) | ~mem(int,sF20,sF27)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f1196,f2107])). 1.28/0.56 tff(f1196,plain,( 1.28/0.56 ( ! [X0 : $int] : (~mem(int,t2tb3(X0),sF27) | ~$less(sK1,X0) | ~$less(sK7,X0)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(resolution,[],[f1189,f388])). 1.28/0.56 tff(f2562,plain,( 1.28/0.56 ~spl30_64 | spl30_24 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2446,f2061,f545,f516,f2476])). 1.28/0.56 tff(f2476,definition,( 1.28/0.56 spl30_64 <=> mem(int,sF20,sF29)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_64])],[avatar_definition])). 1.28/0.56 tff(f516,definition,( 1.28/0.56 spl30_24 <=> mem(int,sF26,sF29)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_24])],[avatar_definition])). 1.28/0.56 tff(f2446,plain,( 1.28/0.56 ~mem(int,sF20,sF29) | (spl30_24 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f518,f2107])). 1.28/0.56 tff(f518,plain,( 1.28/0.56 ~mem(int,sF26,sF29) | spl30_24), 1.28/0.56 inference(avatar_component_clause,[],[f516])). 1.28/0.56 tff(f2558,plain,( 1.28/0.56 ~spl30_10 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2557])). 1.28/0.56 tff(f2557,plain,( 1.28/0.56 $false | (~spl30_10 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2265,f2107])). 1.28/0.56 tff(f2265,plain,( 1.28/0.56 sF25 != sF20 | (~spl30_10 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f622,f2107])). 1.28/0.56 tff(f622,plain,( 1.28/0.56 ( ! [X0 : uni] : (sF25 != leaf(int,X0)) ) | ~spl30_10), 1.28/0.56 inference(superposition,[],[f253,f441])). 1.28/0.56 tff(f2556,plain,( 1.28/0.56 spl30_72 | ~spl30_28 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2443,f2061,f545,f538,f2553])). 1.28/0.56 tff(f2553,definition,( 1.28/0.56 spl30_72 <=> sK8 = tb2t3(sF20)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_72])],[avatar_definition])). 1.28/0.56 tff(f538,definition,( 1.28/0.56 spl30_28 <=> sK8 = tb2t3(sF26)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_28])],[avatar_definition])). 1.28/0.56 tff(f2443,plain,( 1.28/0.56 sK8 = tb2t3(sF20) | (~spl30_28 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f540,f2107])). 1.28/0.56 tff(f540,plain,( 1.28/0.56 sK8 = tb2t3(sF26) | ~spl30_28), 1.28/0.56 inference(avatar_component_clause,[],[f538])). 1.28/0.56 tff(f2548,plain,( 1.28/0.56 ~spl30_63 | spl30_71 | ~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2372,f2061,f545,f489,f454,f439,f412,f2546,f2467])). 1.28/0.56 tff(f2546,definition,( 1.28/0.56 spl30_71 <=> ! [X0 : $int] : ($less(sK1,X0) | $less(sK2,X0))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_71])],[avatar_definition])). 1.28/0.56 tff(f2372,plain,( 1.28/0.56 ( ! [X0 : $int] : (~mem(int,sF20,sF27) | $less(sK1,X0) | $less(sK2,X0)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f1227,f2107])). 1.28/0.56 tff(f1227,plain,( 1.28/0.56 ( ! [X0 : $int] : (~mem(int,t2tb3(X0),sF27) | $less(sK2,X0) | $less(sK1,X0)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(resolution,[],[f1190,f387])). 1.28/0.56 tff(f2544,plain,( 1.28/0.56 ~spl30_15 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2543])). 1.28/0.56 tff(f2543,plain,( 1.28/0.56 $false | (~spl30_15 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2269,f2107])). 1.28/0.56 tff(f2269,plain,( 1.28/0.56 sF20 != sF23 | (~spl30_15 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f623,f2107])). 1.28/0.56 tff(f2541,plain,( 1.28/0.56 spl30_70 | ~spl30_64 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2367,f2061,f545,f2476,f2539])). 1.28/0.56 tff(f2367,plain,( 1.28/0.56 ( ! [X0 : $int] : (~$less(sK1,X0) | ~mem(int,sF20,sF29)) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f393,f2107])). 1.28/0.56 tff(f2535,plain,( 1.28/0.56 ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2534])). 1.28/0.56 tff(f2534,plain,( 1.28/0.56 $false | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(subsumption_resolution,[],[f2252,f2107])). 1.28/0.56 tff(f2252,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : ty] : (sF20 != node(X0,X2,X3)) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f253,f2107])). 1.28/0.56 tff(f2533,plain,( 1.28/0.56 spl30_69 | ~spl30_29 | ~spl30_53 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2209,f2061,f1364,f545,f2506])). 1.28/0.56 tff(f1364,definition,( 1.28/0.56 spl30_53 <=> mem(int,cons_proj_1(int,infix_plpl(int,sF28,sF28)),sF28)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_53])],[avatar_definition])). 1.28/0.56 tff(f2209,plain,( 1.28/0.56 mem(int,sF20,sF28) | (~spl30_29 | ~spl30_53 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f1366,f2107])). 1.28/0.56 tff(f1366,plain,( 1.28/0.56 mem(int,cons_proj_1(int,infix_plpl(int,sF28,sF28)),sF28) | ~spl30_53), 1.28/0.56 inference(avatar_component_clause,[],[f1364])). 1.28/0.56 tff(f2523,plain,( 1.28/0.56 ~spl30_69 | ~spl30_29 | spl30_42 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2208,f2061,f818,f545,f2506])). 1.28/0.56 tff(f818,definition,( 1.28/0.56 spl30_42 <=> mem(int,cons_proj_1(int,sF29),sF28)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_42])],[avatar_definition])). 1.28/0.56 tff(f2208,plain,( 1.28/0.56 ~mem(int,sF20,sF28) | (~spl30_29 | spl30_42 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f820,f2107])). 1.28/0.56 tff(f820,plain,( 1.28/0.56 ~mem(int,cons_proj_1(int,sF29),sF28) | spl30_42), 1.28/0.56 inference(avatar_component_clause,[],[f818])). 1.28/0.56 tff(f2509,plain,( 1.28/0.56 spl30_68 | ~spl30_69 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2364,f2061,f545,f2506,f2503])). 1.28/0.56 tff(f2503,definition,( 1.28/0.56 spl30_68 <=> ! [X0 : $int] : $less(sK1,X0)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_68])],[avatar_definition])). 1.28/0.56 tff(f2364,plain,( 1.28/0.56 ( ! [X0 : $int] : ($less(sK1,X0) | ~mem(int,sF20,sF28)) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f387,f2107])). 1.28/0.56 tff(f2499,plain,( 1.28/0.56 ~spl30_63 | spl30_67 | ~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2371,f2061,f545,f489,f454,f439,f412,f2497,f2467])). 1.28/0.56 tff(f2497,definition,( 1.28/0.56 spl30_67 <=> ! [X0 : $int] : (~$less(sK7,X0) | $less(sK2,X0))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_67])],[avatar_definition])). 1.28/0.56 tff(f2371,plain,( 1.28/0.56 ( ! [X0 : $int] : (~$less(sK7,X0) | $less(sK2,X0) | ~mem(int,sF20,sF27)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f1226,f2107])). 1.28/0.56 tff(f1226,plain,( 1.28/0.56 ( ! [X0 : $int] : (~mem(int,t2tb3(X0),sF27) | $less(sK2,X0) | ~$less(sK7,X0)) ) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(resolution,[],[f1190,f388])). 1.28/0.56 tff(f2488,plain,( 1.28/0.56 spl30_66 | ~spl30_29 | ~spl30_33 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2433,f2061,f570,f545,f2485])). 1.28/0.56 tff(f2485,definition,( 1.28/0.56 spl30_66 <=> tb2t2(sF20) = sK5), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_66])],[avatar_definition])). 1.28/0.56 tff(f570,definition,( 1.28/0.56 spl30_33 <=> tb2t2(sF22) = sK5), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_33])],[avatar_definition])). 1.28/0.56 tff(f2433,plain,( 1.28/0.56 tb2t2(sF20) = sK5 | (~spl30_29 | ~spl30_33 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f572,f2107])). 1.28/0.56 tff(f572,plain,( 1.28/0.56 tb2t2(sF22) = sK5 | ~spl30_33), 1.28/0.56 inference(avatar_component_clause,[],[f570])). 1.28/0.56 tff(f2482,plain,( 1.28/0.56 ~spl30_64 | spl30_65 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2366,f2061,f545,f2480,f2476])). 1.28/0.56 tff(f2366,plain,( 1.28/0.56 ( ! [X0 : $int] : ($less(sK2,X0) | ~mem(int,sF20,sF29)) ) | (~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f392,f2107])). 1.28/0.56 tff(f2470,plain,( 1.28/0.56 ~spl30_63 | spl30_9 | ~spl30_29 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2442,f2061,f545,f434,f2467])). 1.28/0.56 tff(f434,definition,( 1.28/0.56 spl30_9 <=> mem(int,sF26,sF27)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_9])],[avatar_definition])). 1.28/0.56 tff(f2442,plain,( 1.28/0.56 ~mem(int,sF20,sF27) | (spl30_9 | ~spl30_29 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f435,f2107])). 1.28/0.56 tff(f435,plain,( 1.28/0.56 ~mem(int,sF26,sF27) | spl30_9), 1.28/0.56 inference(avatar_component_clause,[],[f434])). 1.28/0.56 tff(f2454,plain,( 1.28/0.56 ~spl30_62 | ~spl30_29 | spl30_50 | ~spl30_60), 1.28/0.56 inference(avatar_split_clause,[],[f2244,f2061,f1352,f545,f2451])). 1.28/0.56 tff(f1352,definition,( 1.28/0.56 spl30_50 <=> distinct(int,infix_plpl(int,sF28,sF28))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_50])],[avatar_definition])). 1.28/0.56 tff(f2244,plain,( 1.28/0.56 ~distinct(int,sF20) | (~spl30_29 | spl30_50 | ~spl30_60)), 1.28/0.56 inference(superposition,[],[f1354,f2107])). 1.28/0.56 tff(f1354,plain,( 1.28/0.56 ~distinct(int,infix_plpl(int,sF28,sF28)) | spl30_50), 1.28/0.56 inference(avatar_component_clause,[],[f1352])). 1.28/0.56 tff(f2067,plain,( 1.28/0.56 spl30_60 | spl30_61), 1.28/0.56 inference(avatar_split_clause,[],[f2059,f2064,f2061])). 1.28/0.56 tff(f2064,definition,( 1.28/0.56 spl30_61 <=> ! [X2 : ty,X3 : uni] : leaf(X2,X3) = leaf(X2,leaf_proj_1(X2,leaf(X2,X3)))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_61])],[avatar_definition])). 1.28/0.56 tff(f2059,plain,( 1.28/0.56 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : ty,X4 : uni] : (X0 = X4 | ~sort(X1,X4) | leaf(X2,X3) = leaf(X2,leaf_proj_1(X2,leaf(X2,X3))) | ~sort(X1,X0)) )), 1.28/0.56 inference(superposition,[],[f232,f883])). 1.28/0.56 tff(f883,plain,( 1.28/0.56 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : ty,X4 : uni] : (match_tree(X1,X2,X0,X3,X4) = X4 | leaf(X2,leaf_proj_1(X2,X0)) = X0 | ~sort(X1,X4)) )), 1.28/0.56 inference(superposition,[],[f234,f258])). 1.28/0.56 tff(f234,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty,X4 : uni,X5 : ty] : (match_tree(X5,X1,node(X1,X4,X2),X3,X0) = X0 | ~sort(X5,X0)) )), 1.28/0.56 inference(cnf_transformation,[],[f167])). 1.28/0.56 tff(f167,plain,( 1.28/0.56 ! [X0 : uni,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : ty] : (match_tree(X5,X1,node(X1,X4,X2),X3,X0) = X0 | ~sort(X5,X0))), 1.28/0.56 inference(rectify,[],[f148])). 1.28/0.56 tff(f148,plain,( 1.28/0.56 ! [X4 : uni,X3 : ty,X2 : uni,X0 : uni,X1 : uni,X5 : ty] : (match_tree(X5,X3,node(X3,X1,X2),X0,X4) = X4 | ~sort(X5,X4))), 1.28/0.56 inference(ennf_transformation,[],[f94])). 1.28/0.56 tff(f94,plain,( 1.28/0.56 ! [X0 : uni,X4 : uni,X3 : ty,X5 : ty,X1 : uni,X2 : uni] : (sort(X5,X4) => match_tree(X5,X3,node(X3,X1,X2),X0,X4) = X4)), 1.28/0.56 inference(rectify,[],[f56])). 1.28/0.56 tff(f56,axiom,( 1.28/0.56 ! [X7 : uni,X6 : uni,X10 : uni,X0 : ty,X8 : uni,X12 : ty] : (sort(X12,X8) => match_tree(X12,X0,node(X0,X6,X10),X7,X8) = X8)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f232,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni] : (match_tree(X1,X0,leaf(X0,X2),X4,X3) = X4 | ~sort(X1,X4)) )), 1.28/0.56 inference(cnf_transformation,[],[f166])). 1.28/0.56 tff(f166,plain,( 1.28/0.56 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (match_tree(X1,X0,leaf(X0,X2),X4,X3) = X4 | ~sort(X1,X4))), 1.28/0.56 inference(rectify,[],[f164])). 1.28/0.56 tff(f164,plain,( 1.28/0.56 ! [X2 : ty,X3 : ty,X4 : uni,X0 : uni,X1 : uni] : (match_tree(X3,X2,leaf(X2,X4),X1,X0) = X1 | ~sort(X3,X1))), 1.28/0.56 inference(ennf_transformation,[],[f107])). 1.28/0.56 tff(f107,plain,( 1.28/0.56 ! [X0 : uni,X3 : ty,X2 : ty,X4 : uni,X1 : uni] : (sort(X3,X1) => match_tree(X3,X2,leaf(X2,X4),X1,X0) = X1)), 1.28/0.56 inference(rectify,[],[f10])). 1.28/0.56 tff(f10,axiom,( 1.28/0.56 ! [X8 : uni,X7 : uni,X0 : ty,X12 : ty,X6 : uni] : (sort(X12,X7) => match_tree(X12,X0,leaf(X0,X6),X7,X8) = X7)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f2066,plain,( 1.28/0.56 spl30_60 | spl30_61), 1.28/0.56 inference(avatar_split_clause,[],[f2057,f2064,f2061])). 1.28/0.56 tff(f2057,plain,( 1.28/0.56 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : ty,X4 : uni] : (X0 = X4 | ~sort(X1,X0) | leaf(X2,X3) = leaf(X2,leaf_proj_1(X2,leaf(X2,X3))) | ~sort(X1,X4)) )), 1.28/0.56 inference(superposition,[],[f883,f232])). 1.28/0.56 tff(f2056,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2055])). 1.28/0.56 tff(f2055,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2050,f1979])). 1.28/0.56 tff(f1979,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (X0 = X1) ) | ~spl30_58), 1.28/0.56 inference(superposition,[],[f1973,f1973])). 1.28/0.56 tff(f1973,plain,( 1.28/0.56 ( ! [X4 : bool] : (true = X4) ) | ~spl30_58), 1.28/0.56 inference(avatar_component_clause,[],[f1972])). 1.28/0.56 tff(f1972,definition,( 1.28/0.56 spl30_58 <=> ! [X4 : bool] : true = X4), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_58])],[avatar_definition])). 1.28/0.56 tff(f2050,plain,( 1.28/0.56 ( ! [X3 : bool,X1 : bool] : (X1 != X3) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2043,f1979])). 1.28/0.56 tff(f2043,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X1 : bool] : (X2 != X3 | X1 != X3) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2036,f1973])). 1.28/0.56 tff(f2036,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X1 : bool] : (true != X2 | X1 != X3 | X2 != X3) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2011,f1979])). 1.28/0.56 tff(f2011,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (X2 != X3 | X1 != X3 | true != X2 | X0 != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f741,f1979])). 1.28/0.56 tff(f741,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (false != X0 | true != X2 | X0 != X1 | X1 != X2) ) | spl30_12), 1.28/0.56 inference(trivial_inequality_removal,[],[f737])). 1.28/0.56 tff(f737,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (X1 != X2 | X0 != X1 | false != false | true != X2 | false != X0) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f719,f665])). 1.28/0.56 tff(f665,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (X0 = X1 | false != X0 | false != X1) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f451,f656])). 1.28/0.56 tff(f656,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (true = X1 | X0 = X1 | false != X0) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f451,f616])). 1.28/0.56 tff(f616,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (true = X1 | true = X0 | X0 = X1) )), 1.28/0.56 inference(superposition,[],[f370,f370])). 1.28/0.56 tff(f370,plain,( 1.28/0.56 ( ! [X0 : bool] : (false = X0 | true = X0) )), 1.28/0.56 inference(cnf_transformation,[],[f91])). 1.28/0.56 tff(f91,plain,( 1.28/0.56 ! [X0 : bool] : (true = X0 | false = X0)), 1.28/0.56 inference(rectify,[],[f65])). 1.28/0.56 tff(f65,axiom,( 1.28/0.56 ! [X6 : bool] : (false = X6 | true = X6)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f451,plain,( 1.28/0.56 true != false | spl30_12), 1.28/0.56 inference(avatar_component_clause,[],[f449])). 1.28/0.56 tff(f449,definition,( 1.28/0.56 spl30_12 <=> true = false), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_12])],[avatar_definition])). 1.28/0.56 tff(f719,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (false != X0 | X0 != X1 | true != X1) ) | spl30_12), 1.28/0.56 inference(trivial_inequality_removal,[],[f714])). 1.28/0.56 tff(f714,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (true != X1 | false != X0 | false != false | X0 != X1) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f704,f665])). 1.28/0.56 tff(f704,plain,( 1.28/0.56 ( ! [X0 : bool] : (false != X0 | true != X0) ) | spl30_12), 1.28/0.56 inference(duplicate_literal_removal,[],[f695])). 1.28/0.56 tff(f695,plain,( 1.28/0.56 ( ! [X0 : bool] : (true != X0 | false != X0 | false != X0) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f451,f667])). 1.28/0.56 tff(f667,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (X0 = X1 | true != X1 | false != X1) ) | spl30_12), 1.28/0.56 inference(equality_factoring,[],[f656])). 1.28/0.56 tff(f2054,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2053])). 1.28/0.56 tff(f2053,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2047,f1979])). 1.28/0.56 tff(f2047,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool] : (X2 != X3) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2039,f1979])). 1.28/0.56 tff(f2039,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X1 : bool] : (X1 != X3 | X2 != X3) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2033,f1979])). 1.28/0.56 tff(f2033,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (X0 != X1 | X2 != X3 | X1 != X3) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2024,f1973])). 1.28/0.56 tff(f2024,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (true != X2 | X1 != X3 | X2 != X3 | X0 != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f741,f1979])). 1.28/0.56 tff(f2052,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2051])). 1.28/0.56 tff(f2051,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2046,f1979])). 1.28/0.56 tff(f2046,plain,( 1.28/0.56 ( ! [X2 : bool,X1 : bool] : (X1 != X2) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2038,f1979])). 1.28/0.56 tff(f2038,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (X0 != X1 | X1 != X2) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2012,f1973])). 1.28/0.56 tff(f2012,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (true != X2 | X1 != X2 | X0 != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f719,f1979])). 1.28/0.56 tff(f2049,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2048])). 1.28/0.56 tff(f2048,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2040,f1979])). 1.28/0.56 tff(f2040,plain,( 1.28/0.56 ( ! [X2 : bool,X1 : bool] : (X1 != X2) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2034,f1979])). 1.28/0.56 tff(f2034,plain,( 1.28/0.56 ( ! [X2 : bool,X1 : bool] : (X1 != X2 | true != X2) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2025,f1979])). 1.28/0.56 tff(f2025,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (X1 != X2 | true != X2 | X0 != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f719,f1979])). 1.28/0.56 tff(f2045,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2044])). 1.28/0.56 tff(f2044,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2037,f1979])). 1.28/0.56 tff(f2037,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (X0 != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2013,f1979])). 1.28/0.56 tff(f2013,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (X0 != X1 | true != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f704,f1979])). 1.28/0.56 tff(f2042,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2041])). 1.28/0.56 tff(f2041,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2035,f1979])). 1.28/0.56 tff(f2035,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (X0 != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2026,f1979])). 1.28/0.56 tff(f2026,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (X0 != X1 | true != X1) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f704,f1979])). 1.28/0.56 tff(f2032,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2031])). 1.28/0.56 tff(f2031,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2017,f1979])). 1.28/0.56 tff(f2017,plain,( 1.28/0.56 ( ! [X0 : bool] : (false != X0) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f451,f1979])). 1.28/0.56 tff(f2030,plain,( 1.28/0.56 spl30_12 | ~spl30_58), 1.28/0.56 inference(avatar_contradiction_clause,[],[f2029])). 1.28/0.56 tff(f2029,plain,( 1.28/0.56 $false | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(subsumption_resolution,[],[f2004,f1979])). 1.28/0.56 tff(f2004,plain,( 1.28/0.56 ( ! [X0 : bool] : (false != X0) ) | (spl30_12 | ~spl30_58)), 1.28/0.56 inference(superposition,[],[f451,f1979])). 1.28/0.56 tff(f1978,plain,( 1.28/0.56 spl30_59 | spl30_58 | spl30_12), 1.28/0.56 inference(avatar_split_clause,[],[f1965,f449,f1972,f1976])). 1.28/0.56 tff(f1976,definition,( 1.28/0.56 spl30_59 <=> ! [X2 : bool,X0 : bool,X1 : bool] : (true != X0 | X1 != X2 | X0 != X2 | X0 = X1)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_59])],[avatar_definition])). 1.28/0.56 tff(f1965,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (true != X0 | X0 = X1 | true = X3 | X0 != X2 | X1 != X2) ) | spl30_12), 1.28/0.56 inference(subsumption_resolution,[],[f1940,f712])). 1.28/0.56 tff(f712,plain,( 1.28/0.56 ( ! [X0 : bool,X1 : bool] : (true = X0 | X0 != X1 | true != X1) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f704,f370])). 1.28/0.56 tff(f1940,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (X0 != X2 | true != X0 | true = X3 | X0 = X1 | X0 = X3 | X1 != X2) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f712,f1915])). 1.28/0.56 tff(f1915,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (X1 = X2 | X0 = X2 | X0 = X1 | true != X1) )), 1.28/0.56 inference(duplicate_literal_removal,[],[f1910])). 1.28/0.56 tff(f1910,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (X0 = X2 | true != X1 | X0 = X2 | X0 = X1 | X1 = X2) )), 1.28/0.56 inference(equality_factoring,[],[f655])). 1.28/0.56 tff(f655,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (true = X3 | X0 = X2 | X1 = X2 | X0 = X1 | X0 = X3) )), 1.28/0.56 inference(superposition,[],[f616,f616])). 1.28/0.56 tff(f1974,plain,( 1.28/0.56 spl30_57 | spl30_58 | spl30_12), 1.28/0.56 inference(avatar_split_clause,[],[f1959,f449,f1972,f1969])). 1.28/0.56 tff(f1969,definition,( 1.28/0.56 spl30_57 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (X2 != X3 | true != X0 | X0 = X1 | X0 != X2 | X1 != X3)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_57])],[avatar_definition])). 1.28/0.56 tff(f1959,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool,X4 : bool] : (X2 != X3 | true = X4 | X1 != X3 | X0 != X2 | X0 = X1 | true != X0) ) | spl30_12), 1.28/0.56 inference(subsumption_resolution,[],[f1941,f712])). 1.28/0.56 tff(f1941,plain,( 1.28/0.56 ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool,X4 : bool] : (X1 != X3 | X0 = X1 | true = X4 | X0 != X2 | X0 = X4 | true != X0 | X2 != X3) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f735,f1915])). 1.28/0.56 tff(f735,plain,( 1.28/0.56 ( ! [X2 : bool,X0 : bool,X1 : bool] : (true = X0 | true != X2 | X0 != X1 | X1 != X2) ) | spl30_12), 1.28/0.56 inference(superposition,[],[f719,f370])). 1.28/0.56 tff(f1520,plain,( 1.28/0.56 spl30_56 | ~spl30_20 | ~spl30_46), 1.28/0.56 inference(avatar_split_clause,[],[f1506,f1263,f489,f1517])). 1.28/0.56 tff(f1517,definition,( 1.28/0.56 spl30_56 <=> infix_plpl(int,sF28,infix_plpl(int,sF28,sF28)) = labels(int,node(int,node(int,sF21,sF21),sF21))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_56])],[avatar_definition])). 1.28/0.56 tff(f1263,definition,( 1.28/0.56 spl30_46 <=> labels(int,node(int,sF21,sF21)) = infix_plpl(int,sF28,sF28)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_46])],[avatar_definition])). 1.28/0.56 tff(f1506,plain,( 1.28/0.56 infix_plpl(int,sF28,infix_plpl(int,sF28,sF28)) = labels(int,node(int,node(int,sF21,sF21),sF21)) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(forward_demodulation,[],[f1486,f290])). 1.28/0.56 tff(f290,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (infix_plpl(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,infix_plpl(X0,X2,X3),X1)) )), 1.28/0.56 inference(cnf_transformation,[],[f95])). 1.28/0.56 tff(f95,plain,( 1.28/0.56 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : infix_plpl(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,infix_plpl(X0,X2,X3),X1)), 1.28/0.56 inference(rectify,[],[f27])). 1.28/0.56 tff(f27,axiom,( 1.28/0.56 ! [X0 : ty,X20 : uni,X4 : uni,X5 : uni] : infix_plpl(X0,X4,infix_plpl(X0,X5,X20)) = infix_plpl(X0,infix_plpl(X0,X4,X5),X20)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f1486,plain,( 1.28/0.56 infix_plpl(int,infix_plpl(int,sF28,sF28),sF28) = labels(int,node(int,node(int,sF21,sF21),sF21)) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(superposition,[],[f834,f1265])). 1.28/0.56 tff(f1265,plain,( 1.28/0.56 labels(int,node(int,sF21,sF21)) = infix_plpl(int,sF28,sF28) | ~spl30_46), 1.28/0.56 inference(avatar_component_clause,[],[f1263])). 1.28/0.56 tff(f834,plain,( 1.28/0.56 ( ! [X0 : uni] : (infix_plpl(int,labels(int,X0),sF28) = labels(int,node(int,X0,sF21))) ) | ~spl30_20), 1.28/0.56 inference(superposition,[],[f245,f491])). 1.28/0.56 tff(f245,plain,( 1.28/0.56 ( ! [X2 : uni,X0 : ty,X1 : uni] : (labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2))) )), 1.28/0.56 inference(cnf_transformation,[],[f173])). 1.28/0.56 tff(f173,plain,( 1.28/0.56 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2)) & ! [X3 : uni] : labels(X0,leaf(X0,X3)) = cons(X0,X3,nil(X0)))), 1.28/0.56 inference(rectify,[],[f126])). 1.28/0.56 tff(f126,plain,( 1.28/0.56 ! [X0 : ty] : (! [X2 : uni,X1 : uni] : infix_plpl(X0,labels(X0,X2),labels(X0,X1)) = labels(X0,node(X0,X2,X1)) & ! [X3 : uni] : labels(X0,leaf(X0,X3)) = cons(X0,X3,nil(X0)))), 1.28/0.56 inference(rectify,[],[f2])). 1.28/0.56 tff(f2,axiom,( 1.28/0.56 ! [X0 : ty] : (! [X2 : uni,X1 : uni] : labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2)) & ! [X1 : uni] : labels(X0,leaf(X0,X1)) = cons(X0,X1,nil(X0)))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f1515,plain,( 1.28/0.56 spl30_55 | ~spl30_20 | ~spl30_45), 1.28/0.56 inference(avatar_split_clause,[],[f1504,f1257,f489,f1512])). 1.28/0.56 tff(f1512,definition,( 1.28/0.56 spl30_55 <=> labels(int,node(int,node(int,sF21,sF25),sF21)) = infix_plpl(int,sF28,infix_plpl(int,sF27,sF28))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_55])],[avatar_definition])). 1.28/0.56 tff(f1257,definition,( 1.28/0.56 spl30_45 <=> labels(int,node(int,sF21,sF25)) = infix_plpl(int,sF28,sF27)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_45])],[avatar_definition])). 1.28/0.56 tff(f1504,plain,( 1.28/0.56 labels(int,node(int,node(int,sF21,sF25),sF21)) = infix_plpl(int,sF28,infix_plpl(int,sF27,sF28)) | (~spl30_20 | ~spl30_45)), 1.28/0.56 inference(forward_demodulation,[],[f1488,f290])). 1.28/0.56 tff(f1488,plain,( 1.28/0.56 labels(int,node(int,node(int,sF21,sF25),sF21)) = infix_plpl(int,infix_plpl(int,sF28,sF27),sF28) | (~spl30_20 | ~spl30_45)), 1.28/0.56 inference(superposition,[],[f834,f1259])). 1.28/0.56 tff(f1259,plain,( 1.28/0.56 labels(int,node(int,sF21,sF25)) = infix_plpl(int,sF28,sF27) | ~spl30_45), 1.28/0.56 inference(avatar_component_clause,[],[f1257])). 1.28/0.56 tff(f1371,plain,( 1.28/0.56 ~spl30_50 | spl30_54 | ~spl30_20 | ~spl30_46), 1.28/0.56 inference(avatar_split_clause,[],[f1350,f1263,f489,f1369,f1352])). 1.28/0.56 tff(f1369,definition,( 1.28/0.56 spl30_54 <=> ! [X0 : uni] : (~distinct(int,X0) | mem(int,sK0(X0,int,infix_plpl(int,sF28,sF28)),sF28) | distinct(int,infix_plpl(int,sF28,infix_plpl(int,sF28,X0))))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_54])],[avatar_definition])). 1.28/0.56 tff(f1350,plain,( 1.28/0.56 ( ! [X0 : uni] : (~distinct(int,X0) | distinct(int,infix_plpl(int,sF28,infix_plpl(int,sF28,X0))) | ~distinct(int,infix_plpl(int,sF28,sF28)) | mem(int,sK0(X0,int,infix_plpl(int,sF28,sF28)),sF28)) ) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(forward_demodulation,[],[f1349,f290])). 1.28/0.56 tff(f1349,plain,( 1.28/0.56 ( ! [X0 : uni] : (~distinct(int,X0) | distinct(int,infix_plpl(int,infix_plpl(int,sF28,sF28),X0)) | mem(int,sK0(X0,int,infix_plpl(int,sF28,sF28)),sF28) | ~distinct(int,infix_plpl(int,sF28,sF28))) ) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(resolution,[],[f1334,f249])). 1.28/0.56 tff(f1334,plain,( 1.28/0.56 ( ! [X0 : uni] : (~mem(int,X0,infix_plpl(int,sF28,sF28)) | mem(int,X0,sF28)) ) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(forward_demodulation,[],[f1333,f491])). 1.28/0.56 tff(f1333,plain,( 1.28/0.56 ( ! [X0 : uni] : (mem(int,X0,labels(int,sF21)) | ~mem(int,X0,infix_plpl(int,sF28,sF28))) ) | ~spl30_46), 1.28/0.56 inference(duplicate_literal_removal,[],[f1327])). 1.28/0.56 tff(f1327,plain,( 1.28/0.56 ( ! [X0 : uni] : (mem(int,X0,labels(int,sF21)) | mem(int,X0,labels(int,sF21)) | ~mem(int,X0,infix_plpl(int,sF28,sF28))) ) | ~spl30_46), 1.28/0.56 inference(superposition,[],[f360,f1265])). 1.28/0.56 tff(f1367,plain,( 1.28/0.56 spl30_52 | spl30_53 | ~spl30_20 | ~spl30_46), 1.28/0.56 inference(avatar_split_clause,[],[f1347,f1263,f489,f1364,f1360])). 1.28/0.56 tff(f1360,definition,( 1.28/0.56 spl30_52 <=> infix_plpl(int,sF28,sF28) = nil(int)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_52])],[avatar_definition])). 1.28/0.56 tff(f1347,plain,( 1.28/0.56 infix_plpl(int,sF28,sF28) = nil(int) | mem(int,cons_proj_1(int,infix_plpl(int,sF28,sF28)),sF28) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(resolution,[],[f1334,f807])). 1.28/0.56 tff(f807,plain,( 1.28/0.56 ( ! [X0 : uni,X1 : ty] : (mem(X1,cons_proj_1(X1,X0),X0) | nil(X1) = X0) )), 1.28/0.56 inference(subsumption_resolution,[],[f804,f242])). 1.28/0.56 tff(f242,plain,( 1.28/0.56 ( ! [X0 : ty,X1 : uni] : (sort(X0,cons_proj_1(X0,X1))) )), 1.28/0.56 inference(cnf_transformation,[],[f171])). 1.28/0.56 tff(f171,plain,( 1.28/0.56 ! [X0 : ty,X1 : uni] : sort(X0,cons_proj_1(X0,X1))), 1.28/0.56 inference(rectify,[],[f98])). 1.28/0.56 tff(f98,plain,( 1.28/0.56 ! [X1 : ty,X0 : uni] : sort(X1,cons_proj_1(X1,X0))), 1.28/0.56 inference(rectify,[],[f40])). 1.28/0.56 tff(f40,axiom,( 1.28/0.56 ! [X1 : uni,X0 : ty] : sort(X0,cons_proj_1(X0,X1))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f804,plain,( 1.28/0.56 ( ! [X0 : uni,X1 : ty] : (mem(X1,cons_proj_1(X1,X0),X0) | ~sort(X1,cons_proj_1(X1,X0)) | nil(X1) = X0) )), 1.28/0.56 inference(superposition,[],[f394,f317])). 1.28/0.56 tff(f317,plain,( 1.28/0.56 ( ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1) )), 1.28/0.56 inference(cnf_transformation,[],[f214])). 1.28/0.56 tff(f214,plain,( 1.28/0.56 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1)), 1.28/0.56 inference(rectify,[],[f112])). 1.28/0.56 tff(f112,plain,( 1.28/0.56 ! [X1 : ty,X0 : uni] : (nil(X1) = X0 | cons(X1,cons_proj_1(X1,X0),cons_proj_2(X1,X0)) = X0)), 1.28/0.56 inference(rectify,[],[f72])). 1.28/0.56 tff(f72,axiom,( 1.28/0.56 ! [X6 : uni,X0 : ty] : (nil(X0) = X6 | cons(X0,cons_proj_1(X0,X6),cons_proj_2(X0,X6)) = X6)), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f394,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X3,cons(X0,X3,X2)) | ~sort(X0,X3)) )), 1.28/0.56 inference(duplicate_literal_removal,[],[f371])). 1.28/0.56 tff(f371,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X3,cons(X0,X3,X2)) | ~sort(X0,X3) | ~sort(X0,X3)) )), 1.28/0.56 inference(equality_resolution,[],[f297])). 1.28/0.56 tff(f297,plain,( 1.28/0.56 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~sort(X0,X1) | ~sort(X0,X3) | mem(X0,X1,cons(X0,X3,X2)) | X1 != X3) )), 1.28/0.56 inference(cnf_transformation,[],[f204])). 1.28/0.56 tff(f204,plain,( 1.28/0.56 ! [X0 : ty,X1 : uni] : (~sort(X0,X1) | (! [X2 : uni,X3 : uni] : (~sort(X0,X3) | ((mem(X0,X1,X2) | X1 = X3 | ~mem(X0,X1,cons(X0,X3,X2))) & (mem(X0,X1,cons(X0,X3,X2)) | (~mem(X0,X1,X2) & X1 != X3)))) & ~mem(X0,X1,nil(X0))))), 1.28/0.56 inference(rectify,[],[f203])). 1.28/0.56 tff(f203,plain,( 1.28/0.56 ! [X1 : ty,X0 : uni] : (~sort(X1,X0) | (! [X3 : uni,X2 : uni] : (~sort(X1,X2) | ((mem(X1,X0,X3) | X0 = X2 | ~mem(X1,X0,cons(X1,X2,X3))) & (mem(X1,X0,cons(X1,X2,X3)) | (~mem(X1,X0,X3) & X0 != X2)))) & ~mem(X1,X0,nil(X1))))), 1.28/0.56 inference(flattening,[],[f202])). 1.28/0.56 tff(f202,plain,( 1.28/0.56 ! [X1 : ty,X0 : uni] : (~sort(X1,X0) | (! [X3 : uni,X2 : uni] : (~sort(X1,X2) | (((mem(X1,X0,X3) | X0 = X2) | ~mem(X1,X0,cons(X1,X2,X3))) & (mem(X1,X0,cons(X1,X2,X3)) | (~mem(X1,X0,X3) & X0 != X2)))) & ~mem(X1,X0,nil(X1))))), 1.28/0.56 inference(nnf_transformation,[],[f149])). 1.28/0.56 tff(f149,plain,( 1.28/0.56 ! [X1 : ty,X0 : uni] : (~sort(X1,X0) | (! [X3 : uni,X2 : uni] : (~sort(X1,X2) | ((mem(X1,X0,X3) | X0 = X2) <=> mem(X1,X0,cons(X1,X2,X3)))) & ~mem(X1,X0,nil(X1))))), 1.28/0.56 inference(ennf_transformation,[],[f87])). 1.28/0.56 tff(f87,plain,( 1.28/0.56 ! [X0 : uni,X1 : ty] : (sort(X1,X0) => (! [X3 : uni,X2 : uni] : (sort(X1,X2) => ((mem(X1,X0,X3) | X0 = X2) <=> mem(X1,X0,cons(X1,X2,X3)))) & ~mem(X1,X0,nil(X1))))), 1.28/0.56 inference(rectify,[],[f54])). 1.28/0.56 tff(f54,axiom,( 1.28/0.56 ! [X1 : uni,X0 : ty] : (sort(X0,X1) => (~mem(X0,X1,nil(X0)) & ! [X2 : uni,X13 : uni] : (sort(X0,X2) => (mem(X0,X1,cons(X0,X2,X13)) <=> (X1 = X2 | mem(X0,X1,X13))))))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f1358,plain,( 1.28/0.56 ~spl30_50 | spl30_51 | ~spl30_20 | ~spl30_46), 1.28/0.56 inference(avatar_split_clause,[],[f1348,f1263,f489,f1356,f1352])). 1.28/0.56 tff(f1356,definition,( 1.28/0.56 spl30_51 <=> ! [X0 : uni] : (distinct(int,infix_plpl(int,X0,infix_plpl(int,sF28,sF28))) | mem(int,sK0(infix_plpl(int,sF28,sF28),int,X0),sF28) | ~distinct(int,X0))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_51])],[avatar_definition])). 1.28/0.56 tff(f1348,plain,( 1.28/0.56 ( ! [X0 : uni] : (distinct(int,infix_plpl(int,X0,infix_plpl(int,sF28,sF28))) | ~distinct(int,X0) | ~distinct(int,infix_plpl(int,sF28,sF28)) | mem(int,sK0(infix_plpl(int,sF28,sF28),int,X0),sF28)) ) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(resolution,[],[f1334,f247])). 1.28/0.56 tff(f1341,plain,( 1.28/0.56 spl30_49 | ~spl30_20 | ~spl30_46), 1.28/0.56 inference(avatar_split_clause,[],[f1326,f1263,f489,f1338])). 1.28/0.56 tff(f1338,definition,( 1.28/0.56 spl30_49 <=> infix_plpl(int,sF28,infix_plpl(int,sF28,sF28)) = labels(int,node(int,sF21,node(int,sF21,sF21)))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_49])],[avatar_definition])). 1.28/0.56 tff(f1326,plain,( 1.28/0.56 infix_plpl(int,sF28,infix_plpl(int,sF28,sF28)) = labels(int,node(int,sF21,node(int,sF21,sF21))) | (~spl30_20 | ~spl30_46)), 1.28/0.56 inference(superposition,[],[f830,f1265])). 1.28/0.56 tff(f830,plain,( 1.28/0.56 ( ! [X0 : uni] : (labels(int,node(int,sF21,X0)) = infix_plpl(int,sF28,labels(int,X0))) ) | ~spl30_20), 1.28/0.56 inference(superposition,[],[f245,f491])). 1.28/0.56 tff(f1322,plain,( 1.28/0.56 spl30_48 | ~spl30_20 | ~spl30_45), 1.28/0.56 inference(avatar_split_clause,[],[f1309,f1257,f489,f1319])). 1.28/0.56 tff(f1319,definition,( 1.28/0.56 spl30_48 <=> infix_plpl(int,sF28,infix_plpl(int,sF28,sF27)) = labels(int,node(int,sF21,node(int,sF21,sF25)))), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_48])],[avatar_definition])). 1.28/0.56 tff(f1309,plain,( 1.28/0.56 infix_plpl(int,sF28,infix_plpl(int,sF28,sF27)) = labels(int,node(int,sF21,node(int,sF21,sF25))) | (~spl30_20 | ~spl30_45)), 1.28/0.56 inference(superposition,[],[f830,f1259])). 1.28/0.56 tff(f1308,plain,( 1.28/0.56 spl30_7 | ~spl30_43 | ~spl30_47), 1.28/0.56 inference(avatar_split_clause,[],[f1301,f1269,f966,f426])). 1.28/0.56 tff(f426,definition,( 1.28/0.56 spl30_7 <=> distinct(int,sF27)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_7])],[avatar_definition])). 1.28/0.56 tff(f1269,definition,( 1.28/0.56 spl30_47 <=> sF27 = infix_plpl(int,sF28,sF29)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_47])],[avatar_definition])). 1.28/0.56 tff(f1301,plain,( 1.28/0.56 distinct(int,sF27) | (~spl30_43 | ~spl30_47)), 1.28/0.56 inference(superposition,[],[f968,f1271])). 1.28/0.56 tff(f1271,plain,( 1.28/0.56 sF27 = infix_plpl(int,sF28,sF29) | ~spl30_47), 1.28/0.56 inference(avatar_component_clause,[],[f1269])). 1.28/0.56 tff(f1272,plain,( 1.28/0.56 spl30_47 | ~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20), 1.28/0.56 inference(avatar_split_clause,[],[f1267,f489,f454,f439,f412,f1269])). 1.28/0.56 tff(f1267,plain,( 1.28/0.56 sF27 = infix_plpl(int,sF28,sF29) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20)), 1.28/0.56 inference(forward_demodulation,[],[f1261,f456])). 1.28/0.56 tff(f1261,plain,( 1.28/0.56 labels(int,sF25) = infix_plpl(int,sF28,sF29) | (~spl30_4 | ~spl30_10 | ~spl30_20)), 1.28/0.56 inference(forward_demodulation,[],[f1247,f441])). 1.28/0.56 tff(f1247,plain,( 1.28/0.56 infix_plpl(int,sF28,sF29) = labels(int,node(int,sF21,sF24)) | (~spl30_4 | ~spl30_20)), 1.28/0.56 inference(superposition,[],[f830,f414])). 1.28/0.56 tff(f1266,plain,( 1.28/0.56 spl30_46 | ~spl30_20), 1.28/0.56 inference(avatar_split_clause,[],[f1246,f489,f1263])). 1.28/0.56 tff(f1246,plain,( 1.28/0.56 labels(int,node(int,sF21,sF21)) = infix_plpl(int,sF28,sF28) | ~spl30_20), 1.28/0.56 inference(superposition,[],[f830,f491])). 1.28/0.56 tff(f1260,plain,( 1.28/0.56 spl30_45 | ~spl30_13 | ~spl30_20), 1.28/0.56 inference(avatar_split_clause,[],[f1248,f489,f454,f1257])). 1.28/0.56 tff(f1248,plain,( 1.28/0.56 labels(int,node(int,sF21,sF25)) = infix_plpl(int,sF28,sF27) | (~spl30_13 | ~spl30_20)), 1.28/0.56 inference(superposition,[],[f830,f456])). 1.28/0.56 tff(f1193,plain,( 1.28/0.56 ~spl30_9 | ~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | spl30_24 | spl30_26), 1.28/0.56 inference(avatar_split_clause,[],[f1192,f525,f516,f489,f454,f439,f412,f434])). 1.28/0.56 tff(f1192,plain,( 1.28/0.56 ~mem(int,sF26,sF27) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | spl30_24 | spl30_26)), 1.28/0.56 inference(subsumption_resolution,[],[f1191,f527])). 1.28/0.56 tff(f1191,plain,( 1.28/0.56 mem(int,sF26,sF28) | ~mem(int,sF26,sF27) | (~spl30_4 | ~spl30_10 | ~spl30_13 | ~spl30_20 | spl30_24)), 1.28/0.56 inference(resolution,[],[f1187,f518])). 1.28/0.56 tff(f986,plain,( 1.28/0.56 spl30_44 | ~spl30_1 | ~spl30_14), 1.28/0.56 inference(avatar_split_clause,[],[f981,f459,f397,f983])). 1.28/0.56 tff(f397,definition,( 1.28/0.56 spl30_1 <=> distinct(int,sF28)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_1])],[avatar_definition])). 1.28/0.56 tff(f981,plain,( 1.28/0.56 distinct(int,infix_plpl(int,sF29,sF28)) | (~spl30_1 | ~spl30_14)), 1.28/0.56 inference(subsumption_resolution,[],[f980,f399])). 1.28/0.56 tff(f399,plain,( 1.28/0.56 distinct(int,sF28) | ~spl30_1), 1.28/0.56 inference(avatar_component_clause,[],[f397])). 1.28/0.56 tff(f980,plain,( 1.28/0.56 distinct(int,infix_plpl(int,sF29,sF28)) | ~distinct(int,sF28) | ~spl30_14), 1.28/0.56 inference(subsumption_resolution,[],[f979,f461])). 1.28/0.56 tff(f979,plain,( 1.28/0.56 distinct(int,infix_plpl(int,sF29,sF28)) | ~distinct(int,sF29) | ~distinct(int,sF28) | ~spl30_14), 1.28/0.56 inference(duplicate_literal_removal,[],[f978])). 1.28/0.56 tff(f978,plain,( 1.28/0.56 ~distinct(int,sF28) | ~distinct(int,sF28) | distinct(int,infix_plpl(int,sF29,sF28)) | ~distinct(int,sF29) | distinct(int,infix_plpl(int,sF29,sF28)) | ~spl30_14), 1.28/0.56 inference(resolution,[],[f957,f247])). 1.28/0.56 tff(f969,plain,( 1.28/0.56 spl30_43 | ~spl30_1 | ~spl30_14), 1.28/0.56 inference(avatar_split_clause,[],[f962,f459,f397,f966])). 1.28/0.56 tff(f962,plain,( 1.28/0.56 distinct(int,infix_plpl(int,sF28,sF29)) | (~spl30_1 | ~spl30_14)), 1.28/0.56 inference(subsumption_resolution,[],[f958,f461])). 1.28/0.56 tff(f958,plain,( 1.28/0.56 ~distinct(int,sF29) | distinct(int,infix_plpl(int,sF28,sF29)) | (~spl30_1 | ~spl30_14)), 1.28/0.56 inference(subsumption_resolution,[],[f952,f399])). 1.28/0.56 tff(f952,plain,( 1.28/0.56 ~distinct(int,sF28) | distinct(int,infix_plpl(int,sF28,sF29)) | ~distinct(int,sF29) | ~spl30_14), 1.28/0.56 inference(duplicate_literal_removal,[],[f946])). 1.28/0.56 tff(f946,plain,( 1.28/0.56 distinct(int,infix_plpl(int,sF28,sF29)) | ~distinct(int,sF29) | distinct(int,infix_plpl(int,sF28,sF29)) | ~distinct(int,sF28) | ~distinct(int,sF28) | ~spl30_14), 1.28/0.56 inference(resolution,[],[f249,f940])). 1.28/0.56 tff(f821,plain,( 1.28/0.56 spl30_41 | ~spl30_42), 1.28/0.56 inference(avatar_split_clause,[],[f809,f818,f814])). 1.28/0.56 tff(f814,definition,( 1.28/0.56 spl30_41 <=> sF29 = nil(int)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_41])],[avatar_definition])). 1.28/0.56 tff(f809,plain,( 1.28/0.56 sF29 = nil(int) | ~mem(int,cons_proj_1(int,sF29),sF28)), 1.28/0.56 inference(resolution,[],[f807,f595])). 1.28/0.56 tff(f649,plain,( 1.28/0.56 spl30_40 | ~spl30_15), 1.28/0.56 inference(avatar_split_clause,[],[f638,f464,f646])). 1.28/0.56 tff(f646,definition,( 1.28/0.56 spl30_40 <=> node_proj_1(a1,sF23) = sF20), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_40])],[avatar_definition])). 1.28/0.56 tff(f638,plain,( 1.28/0.56 node_proj_1(a1,sF23) = sF20 | ~spl30_15), 1.28/0.56 inference(superposition,[],[f300,f466])). 1.28/0.56 tff(f300,plain,( 1.28/0.56 ( ! [X2 : ty,X0 : uni,X1 : uni] : (node_proj_1(X2,node(X2,X1,X0)) = X1) )), 1.28/0.56 inference(cnf_transformation,[],[f205])). 1.28/0.56 tff(f205,plain,( 1.28/0.56 ! [X0 : uni,X1 : uni,X2 : ty] : node_proj_1(X2,node(X2,X1,X0)) = X1), 1.28/0.56 inference(rectify,[],[f124])). 1.28/0.56 tff(f124,plain,( 1.28/0.56 ! [X1 : uni,X0 : uni,X2 : ty] : node_proj_1(X2,node(X2,X0,X1)) = X0), 1.28/0.56 inference(rectify,[],[f22])). 1.28/0.56 tff(f22,axiom,( 1.28/0.56 ! [X6 : uni,X10 : uni,X0 : ty] : node_proj_1(X0,node(X0,X6,X10)) = X6), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f644,plain,( 1.28/0.56 spl30_39 | ~spl30_10), 1.28/0.56 inference(avatar_split_clause,[],[f637,f439,f641])). 1.28/0.56 tff(f641,definition,( 1.28/0.56 spl30_39 <=> node_proj_1(int,sF25) = sF21), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_39])],[avatar_definition])). 1.28/0.56 tff(f637,plain,( 1.28/0.56 node_proj_1(int,sF25) = sF21 | ~spl30_10), 1.28/0.56 inference(superposition,[],[f300,f441])). 1.28/0.56 tff(f636,plain,( 1.28/0.56 spl30_38 | ~spl30_15), 1.28/0.56 inference(avatar_split_clause,[],[f625,f464,f633])). 1.28/0.56 tff(f633,definition,( 1.28/0.56 spl30_38 <=> node_proj_2(a1,sF23) = sF22), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_38])],[avatar_definition])). 1.28/0.56 tff(f625,plain,( 1.28/0.56 node_proj_2(a1,sF23) = sF22 | ~spl30_15), 1.28/0.56 inference(superposition,[],[f260,f466])). 1.28/0.56 tff(f260,plain,( 1.28/0.56 ( ! [X2 : uni,X0 : ty,X1 : uni] : (node_proj_2(X0,node(X0,X1,X2)) = X2) )), 1.28/0.56 inference(cnf_transformation,[],[f184])). 1.28/0.56 tff(f184,plain,( 1.28/0.56 ! [X0 : ty,X1 : uni,X2 : uni] : node_proj_2(X0,node(X0,X1,X2)) = X2), 1.28/0.56 inference(rectify,[],[f97])). 1.28/0.56 tff(f97,plain,( 1.28/0.56 ! [X2 : ty,X0 : uni,X1 : uni] : node_proj_2(X2,node(X2,X0,X1)) = X1), 1.28/0.56 inference(rectify,[],[f23])). 1.28/0.56 tff(f23,axiom,( 1.28/0.56 ! [X6 : uni,X10 : uni,X0 : ty] : node_proj_2(X0,node(X0,X6,X10)) = X10), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f631,plain,( 1.28/0.56 spl30_37 | ~spl30_10), 1.28/0.56 inference(avatar_split_clause,[],[f624,f439,f628])). 1.28/0.56 tff(f628,definition,( 1.28/0.56 spl30_37 <=> sF24 = node_proj_2(int,sF25)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_37])],[avatar_definition])). 1.28/0.56 tff(f624,plain,( 1.28/0.56 sF24 = node_proj_2(int,sF25) | ~spl30_10), 1.28/0.56 inference(superposition,[],[f260,f441])). 1.28/0.56 tff(f610,plain,( 1.28/0.56 spl30_36 | ~spl30_23), 1.28/0.56 inference(avatar_split_clause,[],[f599,f503,f607])). 1.28/0.56 tff(f607,definition,( 1.28/0.56 spl30_36 <=> sort(tree(int),sF21)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_36])],[avatar_definition])). 1.28/0.56 tff(f503,definition,( 1.28/0.56 spl30_23 <=> sF21 = t2tb(sK6)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_23])],[avatar_definition])). 1.28/0.56 tff(f599,plain,( 1.28/0.56 sort(tree(int),sF21) | ~spl30_23), 1.28/0.56 inference(superposition,[],[f369,f505])). 1.28/0.56 tff(f505,plain,( 1.28/0.56 sF21 = t2tb(sK6) | ~spl30_23), 1.28/0.56 inference(avatar_component_clause,[],[f503])). 1.28/0.56 tff(f369,plain,( 1.28/0.56 ( ! [X0 : tree_int] : (sort(tree(int),t2tb(X0))) )), 1.28/0.56 inference(cnf_transformation,[],[f86])). 1.28/0.56 tff(f86,plain,( 1.28/0.56 ! [X0 : tree_int] : sort(tree(int),t2tb(X0))), 1.28/0.56 inference(rectify,[],[f58])). 1.28/0.56 tff(f58,axiom,( 1.28/0.56 ! [X1 : tree_int] : sort(tree(int),t2tb(X1))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f605,plain,( 1.28/0.56 spl30_35 | ~spl30_5), 1.28/0.56 inference(avatar_split_clause,[],[f598,f417,f602])). 1.28/0.56 tff(f602,definition,( 1.28/0.56 spl30_35 <=> sort(tree(int),sF24)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_35])],[avatar_definition])). 1.28/0.56 tff(f417,definition,( 1.28/0.56 spl30_5 <=> t2tb(sK4) = sF24), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_5])],[avatar_definition])). 1.28/0.56 tff(f598,plain,( 1.28/0.56 sort(tree(int),sF24) | ~spl30_5), 1.28/0.56 inference(superposition,[],[f369,f419])). 1.28/0.56 tff(f419,plain,( 1.28/0.56 t2tb(sK4) = sF24 | ~spl30_5), 1.28/0.56 inference(avatar_component_clause,[],[f417])). 1.28/0.56 tff(f578,plain,( 1.28/0.56 spl30_34 | ~spl30_2), 1.28/0.56 inference(avatar_split_clause,[],[f567,f402,f575])). 1.28/0.56 tff(f575,definition,( 1.28/0.56 spl30_34 <=> sK3 = tb2t2(sF20)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_34])],[avatar_definition])). 1.28/0.56 tff(f402,definition,( 1.28/0.56 spl30_2 <=> sF20 = t2tb2(sK3)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_2])],[avatar_definition])). 1.28/0.56 tff(f567,plain,( 1.28/0.56 sK3 = tb2t2(sF20) | ~spl30_2), 1.28/0.56 inference(superposition,[],[f295,f404])). 1.28/0.56 tff(f404,plain,( 1.28/0.56 sF20 = t2tb2(sK3) | ~spl30_2), 1.28/0.56 inference(avatar_component_clause,[],[f402])). 1.28/0.56 tff(f295,plain,( 1.28/0.56 ( ! [X0 : tree_a1] : (tb2t2(t2tb2(X0)) = X0) )), 1.28/0.56 inference(cnf_transformation,[],[f125])). 1.28/0.56 tff(f125,plain,( 1.28/0.56 ! [X0 : tree_a1] : tb2t2(t2tb2(X0)) = X0), 1.28/0.56 inference(rectify,[],[f37])). 1.28/0.56 tff(f37,axiom,( 1.28/0.56 ! [X9 : tree_a1] : tb2t2(t2tb2(X9)) = X9), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f573,plain,( 1.28/0.56 spl30_33 | ~spl30_3), 1.28/0.56 inference(avatar_split_clause,[],[f568,f407,f570])). 1.28/0.56 tff(f407,definition,( 1.28/0.56 spl30_3 <=> t2tb2(sK5) = sF22), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_3])],[avatar_definition])). 1.28/0.56 tff(f568,plain,( 1.28/0.56 tb2t2(sF22) = sK5 | ~spl30_3), 1.28/0.56 inference(superposition,[],[f295,f409])). 1.28/0.56 tff(f409,plain,( 1.28/0.56 t2tb2(sK5) = sF22 | ~spl30_3), 1.28/0.56 inference(avatar_component_clause,[],[f407])). 1.28/0.56 tff(f565,plain,( 1.28/0.56 spl30_32 | ~spl30_5), 1.28/0.56 inference(avatar_split_clause,[],[f554,f417,f562])). 1.28/0.56 tff(f562,definition,( 1.28/0.56 spl30_32 <=> tb2t(sF24) = sK4), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_32])],[avatar_definition])). 1.28/0.56 tff(f554,plain,( 1.28/0.56 tb2t(sF24) = sK4 | ~spl30_5), 1.28/0.56 inference(superposition,[],[f264,f419])). 1.28/0.56 tff(f264,plain,( 1.28/0.56 ( ! [X0 : tree_int] : (tb2t(t2tb(X0)) = X0) )), 1.28/0.56 inference(cnf_transformation,[],[f79])). 1.28/0.56 tff(f79,plain,( 1.28/0.56 ! [X0 : tree_int] : tb2t(t2tb(X0)) = X0), 1.28/0.56 inference(rectify,[],[f33])). 1.28/0.56 tff(f33,axiom,( 1.28/0.56 ! [X9 : tree_int] : tb2t(t2tb(X9)) = X9), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f560,plain,( 1.28/0.56 spl30_31 | ~spl30_23), 1.28/0.56 inference(avatar_split_clause,[],[f555,f503,f557])). 1.28/0.56 tff(f557,definition,( 1.28/0.56 spl30_31 <=> sK6 = tb2t(sF21)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_31])],[avatar_definition])). 1.28/0.56 tff(f555,plain,( 1.28/0.56 sK6 = tb2t(sF21) | ~spl30_23), 1.28/0.56 inference(superposition,[],[f264,f505])). 1.28/0.56 tff(f553,plain,( 1.28/0.56 spl30_30 | ~spl30_3), 1.28/0.56 inference(avatar_split_clause,[],[f543,f407,f550])). 1.28/0.56 tff(f550,definition,( 1.28/0.56 spl30_30 <=> sort(tree(a1),sF22)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_30])],[avatar_definition])). 1.28/0.56 tff(f543,plain,( 1.28/0.56 sort(tree(a1),sF22) | ~spl30_3), 1.28/0.56 inference(superposition,[],[f256,f409])). 1.28/0.56 tff(f548,plain,( 1.28/0.56 spl30_29 | ~spl30_2), 1.28/0.56 inference(avatar_split_clause,[],[f542,f402,f545])). 1.28/0.56 tff(f542,plain,( 1.28/0.56 sort(tree(a1),sF20) | ~spl30_2), 1.28/0.56 inference(superposition,[],[f256,f404])). 1.28/0.56 tff(f541,plain,( 1.28/0.56 spl30_28 | ~spl30_18), 1.28/0.56 inference(avatar_split_clause,[],[f536,f479,f538])). 1.28/0.56 tff(f479,definition,( 1.28/0.56 spl30_18 <=> sF26 = t2tb3(sK8)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_18])],[avatar_definition])). 1.28/0.56 tff(f536,plain,( 1.28/0.56 sK8 = tb2t3(sF26) | ~spl30_18), 1.28/0.56 inference(superposition,[],[f255,f481])). 1.28/0.56 tff(f481,plain,( 1.28/0.56 sF26 = t2tb3(sK8) | ~spl30_18), 1.28/0.56 inference(avatar_component_clause,[],[f479])). 1.28/0.56 tff(f255,plain,( 1.28/0.56 ( ! [X0 : $int] : (tb2t3(t2tb3(X0)) = X0) )), 1.28/0.56 inference(cnf_transformation,[],[f108])). 1.28/0.56 tff(f108,plain,( 1.28/0.56 ! [X0 : $int] : tb2t3(t2tb3(X0)) = X0), 1.28/0.56 inference(rectify,[],[f28])). 1.28/0.56 tff(f28,axiom,( 1.28/0.56 ! [X9 : $int] : tb2t3(t2tb3(X9)) = X9), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f535,plain,( 1.28/0.56 ~spl30_24 | spl30_21 | ~spl30_18), 1.28/0.56 inference(avatar_split_clause,[],[f512,f479,f494,f516])). 1.28/0.56 tff(f494,definition,( 1.28/0.56 spl30_21 <=> $less(sK2,sK8)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_21])],[avatar_definition])). 1.28/0.56 tff(f512,plain,( 1.28/0.56 $less(sK2,sK8) | ~mem(int,sF26,sF29) | ~spl30_18), 1.28/0.56 inference(superposition,[],[f392,f481])). 1.28/0.56 tff(f534,plain,( 1.28/0.56 spl30_27 | ~spl30_18), 1.28/0.56 inference(avatar_split_clause,[],[f510,f479,f531])). 1.28/0.56 tff(f531,definition,( 1.28/0.56 spl30_27 <=> sort(int,sF26)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_27])],[avatar_definition])). 1.28/0.56 tff(f510,plain,( 1.28/0.56 sort(int,sF26) | ~spl30_18), 1.28/0.56 inference(superposition,[],[f284,f481])). 1.28/0.56 tff(f284,plain,( 1.28/0.56 ( ! [X0 : $int] : (sort(int,t2tb3(X0))) )), 1.28/0.56 inference(cnf_transformation,[],[f85])). 1.28/0.56 tff(f85,plain,( 1.28/0.56 ! [X0 : $int] : sort(int,t2tb3(X0))), 1.28/0.56 inference(rectify,[],[f68])). 1.28/0.56 tff(f68,axiom,( 1.28/0.56 ! [X1 : $int] : sort(int,t2tb3(X1))), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f529,plain,( 1.28/0.56 spl30_25 | ~spl30_26 | ~spl30_18), 1.28/0.56 inference(avatar_split_clause,[],[f514,f479,f525,f520])). 1.28/0.56 tff(f520,definition,( 1.28/0.56 spl30_25 <=> $less(sK1,sK8)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_25])],[avatar_definition])). 1.28/0.56 tff(f514,plain,( 1.28/0.56 ~mem(int,sF26,sF28) | $less(sK1,sK8) | ~spl30_18), 1.28/0.56 inference(superposition,[],[f387,f481])). 1.28/0.56 tff(f528,plain,( 1.28/0.56 ~spl30_26 | ~spl30_22 | ~spl30_18), 1.28/0.56 inference(avatar_split_clause,[],[f513,f479,f498,f525])). 1.28/0.56 tff(f498,definition,( 1.28/0.56 spl30_22 <=> $less(sK7,sK8)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_22])],[avatar_definition])). 1.28/0.56 tff(f513,plain,( 1.28/0.56 ~mem(int,sF26,sF28) | ~$less(sK7,sK8) | ~spl30_18), 1.28/0.56 inference(superposition,[],[f388,f481])). 1.28/0.56 tff(f523,plain,( 1.28/0.56 ~spl30_24 | ~spl30_25 | ~spl30_18), 1.28/0.56 inference(avatar_split_clause,[],[f511,f479,f520,f516])). 1.28/0.56 tff(f511,plain,( 1.28/0.56 ~mem(int,sF26,sF29) | ~$less(sK1,sK8) | ~spl30_18), 1.28/0.56 inference(superposition,[],[f393,f481])). 1.28/0.56 tff(f506,plain,( 1.28/0.56 spl30_23), 1.28/0.56 inference(avatar_split_clause,[],[f375,f503])). 1.28/0.56 tff(f501,plain,( 1.28/0.56 ~spl30_6 | ~spl30_7 | ~spl30_21 | spl30_22 | spl30_8), 1.28/0.56 inference(avatar_split_clause,[],[f384,f430,f498,f494,f426,f422])). 1.28/0.56 tff(f430,definition,( 1.28/0.56 spl30_8 <=> $less(sK7,sK2)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_8])],[avatar_definition])). 1.28/0.56 tff(f384,plain,( 1.28/0.56 ~distinct(int,sF27) | $less(sK7,sK8) | ~$less(sK2,sK8) | $less(sK7,sK2) | ~same_shape(int,a1,sF23,sF25)), 1.28/0.56 inference(definition_folding,[],[f276,f382,f380,f379,f375,f380,f379,f375,f378,f377,f374])). 1.28/0.56 tff(f374,definition,( 1.28/0.56 sF20 = t2tb2(sK3)), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF20])],[function_definition])). 1.28/0.56 tff(f377,definition,( 1.28/0.56 t2tb2(sK5) = sF22), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF22])],[function_definition])). 1.28/0.56 tff(f378,definition,( 1.28/0.56 node(a1,sF20,sF22) = sF23), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF23])],[function_definition])). 1.28/0.56 tff(f380,definition,( 1.28/0.56 sF25 = node(int,sF21,sF24)), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF25])],[function_definition])). 1.28/0.56 tff(f382,definition,( 1.28/0.56 labels(int,sF25) = sF27), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF27])],[function_definition])). 1.28/0.56 tff(f276,plain,( 1.28/0.56 ~same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK5)),node(int,t2tb(sK6),t2tb(sK4))) | ~$less(sK2,sK8) | $less(sK7,sK8) | $less(sK7,sK2) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4))))), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f492,plain,( 1.28/0.56 spl30_20), 1.28/0.56 inference(avatar_split_clause,[],[f385,f489])). 1.28/0.56 tff(f487,plain,( 1.28/0.56 ~spl30_19), 1.28/0.56 inference(avatar_split_clause,[],[f278,f484])). 1.28/0.56 tff(f484,definition,( 1.28/0.56 spl30_19 <=> $less(sK7,sK1)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_19])],[avatar_definition])). 1.28/0.56 tff(f278,plain,( 1.28/0.56 ~$less(sK7,sK1)), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f482,plain,( 1.28/0.56 spl30_18), 1.28/0.56 inference(avatar_split_clause,[],[f381,f479])). 1.28/0.56 tff(f381,definition,( 1.28/0.56 sF26 = t2tb3(sK8)), 1.28/0.56 introduced(definition,[new_symbols(definition,[sF26])],[function_definition])). 1.28/0.56 tff(f477,plain,( 1.28/0.56 ~spl30_17), 1.28/0.56 inference(avatar_split_clause,[],[f280,f474])). 1.28/0.56 tff(f474,definition,( 1.28/0.56 spl30_17 <=> $less(sK1,sK2)), 1.28/0.56 introduced(definition,[new_symbols(naming,[spl30_17])],[avatar_definition])). 1.28/0.56 tff(f280,plain,( 1.28/0.56 ~$less(sK1,sK2)), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f472,plain,( 1.28/0.56 spl30_16), 1.28/0.56 inference(avatar_split_clause,[],[f376,f469])). 1.28/0.56 tff(f376,plain,( 1.28/0.56 same_shape(int,a1,sF20,sF21)), 1.28/0.56 inference(definition_folding,[],[f279,f375,f374])). 1.28/0.56 tff(f279,plain,( 1.28/0.56 same_shape(int,a1,t2tb2(sK3),t2tb(sK6))), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f467,plain,( 1.28/0.56 spl30_15), 1.28/0.56 inference(avatar_split_clause,[],[f378,f464])). 1.28/0.56 tff(f462,plain,( 1.28/0.56 spl30_14), 1.28/0.56 inference(avatar_split_clause,[],[f390,f459])). 1.28/0.56 tff(f390,plain,( 1.28/0.56 distinct(int,sF29)), 1.28/0.56 inference(definition_folding,[],[f272,f389,f379])). 1.28/0.56 tff(f272,plain,( 1.28/0.56 distinct(int,labels(int,t2tb(sK4)))), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f457,plain,( 1.28/0.56 spl30_13), 1.28/0.56 inference(avatar_split_clause,[],[f382,f454])). 1.28/0.56 tff(f452,plain,( 1.28/0.56 ~spl30_12), 1.28/0.56 inference(avatar_split_clause,[],[f320,f449])). 1.28/0.56 tff(f320,plain,( 1.28/0.56 true != false), 1.28/0.56 inference(cnf_transformation,[],[f66])). 1.28/0.56 tff(f66,axiom,( 1.28/0.56 true != false), 1.28/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 1.28/0.56 tff(f447,plain,( 1.28/0.56 spl30_11), 1.28/0.56 inference(avatar_split_clause,[],[f391,f444])). 1.28/0.56 tff(f391,plain,( 1.28/0.56 same_shape(int,a1,sF22,sF24)), 1.28/0.56 inference(definition_folding,[],[f271,f379,f377])). 1.28/0.56 tff(f271,plain,( 1.28/0.56 same_shape(int,a1,t2tb2(sK5),t2tb(sK4))), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f442,plain,( 1.28/0.56 spl30_10), 1.28/0.56 inference(avatar_split_clause,[],[f380,f439])). 1.28/0.56 tff(f437,plain,( 1.28/0.56 ~spl30_6 | ~spl30_7 | spl30_8 | spl30_9), 1.28/0.56 inference(avatar_split_clause,[],[f383,f434,f430,f426,f422])). 1.28/0.56 tff(f383,plain,( 1.28/0.56 $less(sK7,sK2) | ~same_shape(int,a1,sF23,sF25) | mem(int,sF26,sF27) | ~distinct(int,sF27)), 1.28/0.56 inference(definition_folding,[],[f277,f382,f380,f379,f375,f382,f380,f379,f375,f381,f380,f379,f375,f378,f377,f374])). 1.28/0.56 tff(f277,plain,( 1.28/0.56 ~same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK5)),node(int,t2tb(sK6),t2tb(sK4))) | mem(int,t2tb3(sK8),labels(int,node(int,t2tb(sK6),t2tb(sK4)))) | $less(sK7,sK2) | ~distinct(int,labels(int,node(int,t2tb(sK6),t2tb(sK4))))), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 tff(f420,plain,( 1.28/0.56 spl30_5), 1.28/0.56 inference(avatar_split_clause,[],[f379,f417])). 1.28/0.56 tff(f415,plain,( 1.28/0.56 spl30_4), 1.28/0.56 inference(avatar_split_clause,[],[f389,f412])). 1.28/0.56 tff(f410,plain,( 1.28/0.56 spl30_3), 1.28/0.56 inference(avatar_split_clause,[],[f377,f407])). 1.28/0.56 tff(f405,plain,( 1.28/0.56 spl30_2), 1.28/0.56 inference(avatar_split_clause,[],[f374,f402])). 1.28/0.56 tff(f400,plain,( 1.28/0.56 spl30_1), 1.28/0.56 inference(avatar_split_clause,[],[f386,f397])). 1.28/0.56 tff(f386,plain,( 1.28/0.56 distinct(int,sF28)), 1.28/0.56 inference(definition_folding,[],[f275,f385,f375])). 1.28/0.56 tff(f275,plain,( 1.28/0.56 distinct(int,labels(int,t2tb(sK6)))), 1.28/0.56 inference(cnf_transformation,[],[f192])). 1.28/0.56 % SZS output end Proof for theBenchmark 1.28/0.56 % (7300)------------------------------ 1.28/0.56 % (7300)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.28/0.56 % (7300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.28/0.56 % (7300)Termination reason: Refutation 1.28/0.56 1.28/0.56 % (7300)Time elapsed: 0.104 s 1.28/0.56 % (7300)Peak memory usage: 30 MB 1.28/0.56 % (7300)Instructions burned: 198 (million) 1.28/0.56 % (7300)------------------------------ 1.28/0.56 % (7300)------------------------------ 1.28/0.56 % (7297)Success in time 0.187 s 1.28/0.56 EOF