0.03/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.12/0.34	% Computer : n007.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 300
0.12/0.34	% WCLimit    : 300
0.12/0.34	% DateTime   : Fri Jul  5 04:23:54 EDT 2024
0.12/0.35	% CPUTime    : 
0.20/0.37	This is a TFF_ problem
0.20/0.37	Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.20/0.37	% (18349)Running in auto input_syntax mode. Trying TPTP
0.20/0.44	% (18356)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi)
0.20/0.44	% (18355)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi)
0.20/0.44	% (18354)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi)
0.20/0.44	% (18351)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi)
0.20/0.44	% (18353)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi)
0.20/0.44	% (18350)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi)
0.20/0.44	% (18352)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi)
56.10/8.42	% (18354)First to succeed.
65.67/9.76	% (18354)Refutation found. Thanks to Tanya!
65.67/9.76	% SZS status Theorem for theBenchmark
65.67/9.76	% SZS output start Proof for theBenchmark
65.67/9.76	tff(type_def_5, type, uni: $tType).
65.67/9.76	tff(type_def_6, type, ty: $tType).
65.67/9.76	tff(type_def_7, type, bool: $tType).
65.67/9.76	tff(type_def_8, type, tuple0: $tType).
65.67/9.76	tff(type_def_9, type, vertex: $tType).
65.67/9.76	tff(type_def_10, type, t: $tType).
65.67/9.76	tff(type_def_11, type, map_vertex_t19: $tType).
65.67/9.76	tff(type_def_12, type, list_vertex: $tType).
65.67/9.76	tff(type_def_13, type, set_vertex: $tType).
65.67/9.76	tff(type_def_14, type, set_lpvertexcm_vertexrp: $tType).
65.67/9.76	tff(type_def_15, type, lpvertexcm_vertexrp: $tType).
65.67/9.76	tff(func_def_0, type, witness: ty > uni).
65.67/9.76	tff(func_def_1, type, int: ty).
65.67/9.76	tff(func_def_2, type, real: ty).
65.67/9.76	tff(func_def_3, type, bool1: ty).
65.67/9.76	tff(func_def_4, type, true: bool).
65.67/9.76	tff(func_def_5, type, false: bool).
65.67/9.76	tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni).
65.67/9.76	tff(func_def_7, type, tuple01: ty).
65.67/9.76	tff(func_def_8, type, tuple02: tuple0).
65.67/9.76	tff(func_def_9, type, qtmark: ty).
65.67/9.76	tff(func_def_10, type, map: (ty * ty) > ty).
65.67/9.76	tff(func_def_11, type, vertex1: ty).
65.67/9.76	tff(func_def_12, type, t1: ty).
65.67/9.76	tff(func_def_13, type, get: (ty * ty * uni * uni) > uni).
65.67/9.76	tff(func_def_14, type, get1: (map_vertex_t19 * vertex) > t).
65.67/9.76	tff(func_def_15, type, set: (ty * ty * uni * uni * uni) > uni).
65.67/9.76	tff(func_def_16, type, t2tb: vertex > uni).
65.67/9.76	tff(func_def_17, type, tb2t: uni > vertex).
65.67/9.76	tff(func_def_18, type, t2tb1: map_vertex_t19 > uni).
65.67/9.76	tff(func_def_19, type, tb2t1: uni > map_vertex_t19).
65.67/9.76	tff(func_def_20, type, t2tb2: t > uni).
65.67/9.76	tff(func_def_21, type, tb2t2: uni > t).
65.67/9.76	tff(func_def_22, type, const: (ty * ty * uni) > uni).
65.67/9.76	tff(func_def_23, type, list: ty > ty).
65.67/9.76	tff(func_def_24, type, nil: ty > uni).
65.67/9.76	tff(func_def_25, type, cons: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_26, type, match_list: (ty * ty * uni * uni * uni) > uni).
65.67/9.76	tff(func_def_27, type, cons_proj_1: (ty * uni) > uni).
65.67/9.76	tff(func_def_28, type, cons_proj_2: (ty * uni) > uni).
65.67/9.76	tff(func_def_29, type, length: (ty * uni) > $int).
65.67/9.76	tff(func_def_30, type, length1: list_vertex > $int).
65.67/9.76	tff(func_def_31, type, t2tb3: list_vertex > uni).
65.67/9.76	tff(func_def_32, type, tb2t3: uni > list_vertex).
65.67/9.76	tff(func_def_33, type, set1: ty > ty).
65.67/9.76	tff(func_def_34, type, tuple2: (ty * ty) > ty).
65.67/9.76	tff(func_def_35, type, t2tb4: set_lpvertexcm_vertexrp > uni).
65.67/9.76	tff(func_def_36, type, tb2t4: uni > set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_37, type, t2tb5: set_vertex > uni).
65.67/9.76	tff(func_def_38, type, tb2t5: uni > set_vertex).
65.67/9.76	tff(func_def_39, type, empty: ty > uni).
65.67/9.76	tff(func_def_40, type, empty1: set_vertex).
65.67/9.76	tff(func_def_41, type, empty2: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_42, type, add: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_43, type, add1: (vertex * set_vertex) > set_vertex).
65.67/9.76	tff(func_def_44, type, add2: (lpvertexcm_vertexrp * set_lpvertexcm_vertexrp) > set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_45, type, remove: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_46, type, remove1: (vertex * set_vertex) > set_vertex).
65.67/9.76	tff(func_def_47, type, remove2: (lpvertexcm_vertexrp * set_lpvertexcm_vertexrp) > set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_48, type, union: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_49, type, inter: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_50, type, diff: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_51, type, diff1: (set_vertex * set_vertex) > set_vertex).
65.67/9.76	tff(func_def_52, type, diff2: (set_lpvertexcm_vertexrp * set_lpvertexcm_vertexrp) > set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_53, type, choose: (ty * uni) > uni).
65.67/9.76	tff(func_def_54, type, t2tb6: lpvertexcm_vertexrp > uni).
65.67/9.76	tff(func_def_55, type, tb2t6: uni > lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_56, type, cardinal: (ty * uni) > $int).
65.67/9.76	tff(func_def_57, type, cardinal1: set_vertex > $int).
65.67/9.76	tff(func_def_58, type, cardinal2: set_lpvertexcm_vertexrp > $int).
65.67/9.76	tff(func_def_59, type, vertices: set_vertex).
65.67/9.76	tff(func_def_60, type, tuple21: (ty * ty * uni * uni) > uni).
65.67/9.76	tff(func_def_61, type, tuple22: (vertex * vertex) > lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_62, type, tuple2_proj_1: (ty * ty * uni) > uni).
65.67/9.76	tff(func_def_63, type, tuple2_proj_2: (ty * ty * uni) > uni).
65.67/9.76	tff(func_def_64, type, edges: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_65, type, s: vertex).
65.67/9.76	tff(func_def_66, type, infix_plpl: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_67, type, weight: (vertex * vertex) > $int).
65.67/9.76	tff(func_def_68, type, path_weight: (list_vertex * vertex) > $int).
65.67/9.76	tff(func_def_69, type, finite: $int > t).
65.67/9.76	tff(func_def_70, type, infinite: t).
65.67/9.76	tff(func_def_71, type, match_t: (ty * t * uni * uni) > uni).
65.67/9.76	tff(func_def_72, type, finite_proj_1: t > $int).
65.67/9.76	tff(func_def_73, type, add3: (t * t) > t).
65.67/9.76	tff(func_def_74, type, ref: ty > ty).
65.67/9.76	tff(func_def_75, type, mk_ref: (ty * uni) > uni).
65.67/9.76	tff(func_def_76, type, contents: (ty * uni) > uni).
65.67/9.76	tff(func_def_83, type, sK0: map_vertex_t19).
65.67/9.76	tff(func_def_84, type, sK1: $int).
65.67/9.76	tff(func_def_85, type, sK2: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_86, type, sK3: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_87, type, sK4: map_vertex_t19).
65.67/9.76	tff(func_def_88, type, sK5: bool).
65.67/9.76	tff(func_def_89, type, sK6: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_90, type, sK7: vertex).
65.67/9.76	tff(func_def_91, type, sK8: vertex).
65.67/9.76	tff(func_def_92, type, sK9: map_vertex_t19).
65.67/9.76	tff(func_def_93, type, sK10: vertex).
65.67/9.76	tff(func_def_94, type, sK11: $int).
65.67/9.76	tff(func_def_95, type, sK12: vertex).
65.67/9.76	tff(func_def_96, type, sK13: list_vertex).
65.67/9.76	tff(func_def_97, type, sK14: vertex > $int).
65.67/9.76	tff(func_def_98, type, sK15: vertex > list_vertex).
65.67/9.76	tff(func_def_99, type, sK16: vertex > $int).
65.67/9.76	tff(func_def_100, type, sK17: vertex > list_vertex).
65.67/9.76	tff(func_def_101, type, sK18: lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_102, type, sK19: lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_103, type, sK20: vertex > $int).
65.67/9.76	tff(func_def_104, type, sK21: vertex > list_vertex).
65.67/9.76	tff(func_def_105, type, sK22: vertex > $int).
65.67/9.76	tff(func_def_106, type, sK23: vertex > list_vertex).
65.67/9.76	tff(func_def_107, type, sK24: set_vertex).
65.67/9.76	tff(func_def_108, type, sK25: vertex).
65.67/9.76	tff(func_def_109, type, sK26: set_vertex).
65.67/9.76	tff(func_def_110, type, sK27: vertex > list_vertex).
65.67/9.76	tff(func_def_111, type, sK28: vertex > list_vertex).
65.67/9.76	tff(func_def_112, type, sK29: set_lpvertexcm_vertexrp > lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_113, type, sK30: set_vertex > vertex).
65.67/9.76	tff(func_def_114, type, sK31: list_vertex > vertex).
65.67/9.76	tff(func_def_115, type, sK32: list_vertex > list_vertex).
65.67/9.76	tff(func_def_116, type, sK33: list_vertex > list_vertex).
65.67/9.76	tff(func_def_117, type, sK34: list_vertex > list_vertex).
65.67/9.76	tff(func_def_118, type, sK35: (set_vertex * list_vertex) > vertex).
65.67/9.76	tff(func_def_119, type, sK36: set_vertex > list_vertex).
65.67/9.76	tff(func_def_120, type, sK37: (ty * uni) > uni).
65.67/9.76	tff(func_def_121, type, sK38: list_vertex > vertex).
65.67/9.76	tff(func_def_122, type, sK39: list_vertex > list_vertex).
65.67/9.76	tff(func_def_123, type, sK40: list_vertex > list_vertex).
65.67/9.76	tff(func_def_124, type, sK41: list_vertex > list_vertex).
65.67/9.76	tff(func_def_125, type, sK42: (list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_126, type, sK43: (list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_127, type, sK44: vertex > list_vertex).
65.67/9.76	tff(func_def_128, type, sK45: list_vertex > vertex).
65.67/9.76	tff(func_def_129, type, sK46: list_vertex > list_vertex).
65.67/9.76	tff(func_def_130, type, sK47: list_vertex > list_vertex).
65.67/9.76	tff(func_def_131, type, sK48: list_vertex > list_vertex).
65.67/9.76	tff(func_def_132, type, sK49: (set_vertex * list_vertex) > vertex).
65.67/9.76	tff(func_def_133, type, sK50: vertex).
65.67/9.76	tff(func_def_134, type, sK51: (vertex * $int) > list_vertex).
65.67/9.76	tff(func_def_135, type, sK52: list_vertex > vertex).
65.67/9.76	tff(func_def_136, type, sK53: list_vertex > list_vertex).
65.67/9.76	tff(func_def_137, type, sK54: list_vertex > list_vertex).
65.67/9.76	tff(func_def_138, type, sK55: list_vertex > list_vertex).
65.67/9.76	tff(func_def_139, type, sK56: (set_vertex * list_vertex) > vertex).
65.67/9.76	tff(func_def_140, type, sK57: (list_vertex * vertex) > vertex).
65.67/9.76	tff(func_def_141, type, sK58: (list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_142, type, sK59: (list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_143, type, sK60: (list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_144, type, sK61: (list_vertex * vertex) > vertex).
65.67/9.76	tff(func_def_145, type, sK62: list_vertex > vertex).
65.67/9.76	tff(func_def_146, type, sK63: list_vertex > list_vertex).
65.67/9.76	tff(func_def_147, type, sK64: list_vertex > list_vertex).
65.67/9.76	tff(func_def_148, type, sK65: list_vertex > list_vertex).
65.67/9.76	tff(func_def_149, type, sK66: (list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_150, type, sK67: (list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_151, type, sK68: (map_vertex_t19 * set_lpvertexcm_vertexrp) > vertex).
65.67/9.76	tff(func_def_152, type, sK69: (map_vertex_t19 * set_lpvertexcm_vertexrp) > vertex).
65.67/9.76	tff(func_def_153, type, sK70: (set_lpvertexcm_vertexrp * set_lpvertexcm_vertexrp) > lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_154, type, sK71: (set_vertex * set_vertex) > vertex).
65.67/9.76	tff(func_def_155, type, sK72: (set_lpvertexcm_vertexrp * set_lpvertexcm_vertexrp) > lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_156, type, sK73: (set_vertex * set_vertex) > vertex).
65.67/9.76	tff(func_def_157, type, sK74: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp) > vertex).
65.67/9.76	tff(func_def_158, type, sK75: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp) > list_vertex).
65.67/9.76	tff(func_def_159, type, sK76: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp) > vertex).
65.67/9.76	tff(func_def_160, type, sK77: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp) > list_vertex).
65.67/9.76	tff(func_def_161, type, sK78: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp * $int) > vertex).
65.67/9.76	tff(func_def_162, type, sK79: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp * $int) > list_vertex).
65.67/9.76	tff(func_def_163, type, sK80: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp * $int) > list_vertex).
65.67/9.76	tff(func_def_164, type, sK81: (vertex * $int) > list_vertex).
65.67/9.76	tff(func_def_165, type, sK82: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_166, type, sK83: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_167, type, sK84: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_168, type, sK85: (ty * uni * uni) > uni).
65.67/9.76	tff(func_def_169, type, sK86: (vertex * vertex * list_vertex) > vertex).
65.67/9.76	tff(func_def_170, type, sK87: (vertex * vertex * list_vertex) > list_vertex).
65.67/9.76	tff(func_def_171, type, sK88: (vertex * list_vertex * vertex) > vertex).
65.67/9.76	tff(func_def_172, type, sK89: (vertex * list_vertex * vertex) > vertex).
65.67/9.76	tff(func_def_173, type, sK90: (vertex * list_vertex * vertex) > vertex).
65.67/9.76	tff(func_def_174, type, sK91: (vertex * list_vertex * vertex) > vertex).
65.67/9.76	tff(func_def_175, type, sK92: (vertex * list_vertex * vertex) > list_vertex).
65.67/9.76	tff(func_def_176, type, sF93: $int).
65.67/9.76	tff(func_def_177, type, sF94: $int).
65.67/9.76	tff(func_def_178, type, sF95: $int).
65.67/9.76	tff(func_def_179, type, sF96: lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_180, type, sF97: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_181, type, sF98: $int).
65.67/9.76	tff(func_def_182, type, sF99: t).
65.67/9.76	tff(func_def_183, type, sF100: t).
65.67/9.76	tff(func_def_184, type, sF101: lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_185, type, sF102: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_186, type, sF103: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_187, type, sF104: set_lpvertexcm_vertexrp).
65.67/9.76	tff(func_def_188, type, sF105: $int).
65.67/9.76	tff(func_def_189, type, sF106: $int).
65.67/9.76	tff(func_def_190, type, sF107: $int).
65.67/9.76	tff(func_def_197, type, '$inst109': $int).
65.67/9.76	tff(func_def_198, type, '$inst110': $int).
65.67/9.76	tff(func_def_200, type, '$inst111': $int).
65.67/9.76	tff(pred_def_1, type, sort: (ty * uni) > $o).
65.67/9.76	tff(pred_def_2, type, mem: (ty * uni * uni) > $o).
65.67/9.76	tff(pred_def_3, type, mem1: (vertex * set_vertex) > $o).
65.67/9.76	tff(pred_def_4, type, mem2: (lpvertexcm_vertexrp * set_lpvertexcm_vertexrp) > $o).
65.67/9.76	tff(pred_def_5, type, infix_eqeq: (ty * uni * uni) > $o).
65.67/9.76	tff(pred_def_6, type, subset: (ty * uni * uni) > $o).
65.67/9.76	tff(pred_def_7, type, is_empty: (ty * uni) > $o).
65.67/9.76	tff(pred_def_8, type, edge: (vertex * vertex) > $o).
65.67/9.76	tff(pred_def_9, type, mem3: (ty * uni * uni) > $o).
65.67/9.76	tff(pred_def_10, type, path: (vertex * list_vertex * vertex) > $o).
65.67/9.76	tff(pred_def_11, type, pigeon_set: set_vertex > $o).
65.67/9.76	tff(pred_def_12, type, negative_cycle: vertex > $o).
65.67/9.76	tff(pred_def_13, type, lt: (t * t) > $o).
65.67/9.76	tff(pred_def_14, type, le: (t * t) > $o).
65.67/9.76	tff(pred_def_15, type, inv1: (map_vertex_t19 * $int * set_lpvertexcm_vertexrp) > $o).
65.67/9.76	tff(pred_def_16, type, inv2: (map_vertex_t19 * set_lpvertexcm_vertexrp) > $o).
65.67/9.76	tff(f35075,plain,(
65.67/9.76	  $false),
65.67/9.76	  inference(avatar_smt_refutation,[],[f1219,f1224,f1229,f1234,f1239,f1244,f1249,f1254,f1259,f1264,f1269,f1274,f1280,f1285,f1291,f1296,f1302,f1307,f1312,f1317,f1330,f1340,f1345,f1350,f1356,f1366,f1378,f1387,f1400,f1410,f1417,f1424,f1429,f1435,f1440,f1445,f1450,f1455,f1460,f1465,f1470,f1475,f1480,f1485,f1493,f1498,f1503,f1512,f1525,f1533,f1543,f1561,f1566,f1571,f1586,f1593,f1619,f1628,f1643,f1648,f1673,f1697,f1710,f1777,f1823,f1840,f1852,f1854,f1871,f1915,f1929,f1992,f1994,f1996,f1998,f2005,f2022,f2078,f2128,f2158,f2221,f2244,f2273,f2315,f2346,f2395,f2417,f2464,f2509,f2530,f2693,f2705,f2742,f2810,f2884,f2944,f3108,f3238,f3387,f3608,f3721,f3851,f4116,f4271,f4346,f4449,f4577,f4694,f4699,f4710,f4721,f4733,f4739,f4755,f4768,f4782,f4791,f4832,f4840,f4868,f4888,f4917,f4926,f4949,f4954,f4959,f4964,f4969,f4974,f4979,f5032,f5113,f5153,f5186,f5194,f5266,f5303,f5319,f5333,f5335,f5337,f5339,f5347,f5353,f5358,f5376,f5417,f5429,f5434,f5492,f5555,f5621,f5630,f5636,f5668,f5670,f5672,f5674,f5676,f5678,f5680,f5682,f5684,f5686,f5688,f5690,f5789,f5794,f5800,f5805,f5810,f5815,f5820,f5825,f5830,f5835,f5926,f5931,f5936,f5941,f5946,f5952,f5957,f5963,f5968,f5973,f5978,f5983,f5994,f5999,f6029,f6034,f6052,f6057,f6062,f6067,f6099,f6128,f6130,f6132,f6134,f6136,f6138,f6140,f6142,f6144,f6146,f6148,f6150,f6240,f6242,f6244,f6246,f6248,f6250,f6252,f6254,f6256,f6258,f6260,f6262,f6264,f6266,f6268,f6293,f6298,f6303,f6375,f6448,f6478,f6480,f6482,f6484,f6486,f6488,f6490,f6492,f6494,f6496,f6498,f6500,f6519,f6549,f6552,f6555,f6557,f6559,f6561,f6563,f6565,f6567,f6569,f6571,f6573,f6575,f6577,f6579,f6598,f6774,f6814,f6871,f6902,f7041,f7083,f7159,f7375,f8105,f8257,f8340,f8447,f8536,f8651,f8811,f8921,f8957,f8992,f9027,f9059,f9154,f9277,f9364,f9532,f9566,f9612,f9825,f9919,f9926,f9933,f9951,f9999,f10217,f10421,f10590,f10626,f10680,f10721,f10758,f10790,f10859,f10957,f11006,f11076,f11213,f11587,f11715,f11817,f11931,f11951,f11975,f12535,f12620,f12735,f12767,f12840,f12874,f13036,f13242,f13853,f14162,f14700,f14747,f14811,f14851,f14952,f15020,f15054,f15290,f15386,f15477,f15910,f16154,f16630,f16736,f16849,f16892,f16952,f17030,f17120,f17258,f17389,f17465,f17571,f17610,f17653,f17696,f17722,f17805,f17967,f18027,f18057,f18286,f19441,f20007,f20060,f20135,f20492,f21850,f22454,f22492,f22534,f22566,f22895,f23742,f24184,f25815,f26482,f26520,f26558,f27491,f27632,f27777,f27939,f28065,f28212,f28373,f28527,f28709,f28872,f29061,f29236,f29387,f29576,f29765,f29943,f30106,f30295,f30485,f30626,f30765,f30934,f31062,f31241,f31523,f31687,f31997,f32295,f32616,f33023,f33469,f33861,f34393,f34719,f34724,f34791,f34908,f34910,f34912,f34914,f34916,f34918,f34920,f34922,f34924,f34926,f34928,f34930,f34932,f34934,f34936,f34938,f34940,f34942,f34944,f34946,f34948,f34950,f34952,f34954,f34956,f34958,f34960,f34962,f34964,f34966,f34968,f34970,f34972,f34974,f34976,f34978,f34980,f34982,f34984,f34986,f34988,f34990,f34992,f34994,f34996,f34998,f35000,f35002,f35004,f35006,f35008,f35010,f35012,f35014,f35016,f35018,f35020,f35022,f35024,f35026,f35028,f35030,f35032,f35034,f35036,f35038,f35040,f35042,f35044,f35046,f35048,f35050,f35052,f35054,f35056,f35058,f35060,f35062,f35064,f35066,f35068,f35070,f35072,f35074])).
65.67/9.76	tff(f35074,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_147 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35073])).
65.67/9.76	tff(f35073,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_147 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f5955,plain,(
65.67/9.76	  sF96 != sF101 | spl108_187),
65.67/9.76	  inference(avatar_component_clause,[],[f5954])).
65.67/9.76	tff(f5954,plain,(
65.67/9.76	  spl108_187 <=> sF96 = sF101),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_187])])).
65.67/9.76	tff(f34816,plain,(
65.67/9.76	  sF96 = sF101 | mem2(sF96,sK6) | (~spl108_72 | ~spl108_153)),
65.67/9.76	  inference(resolution,[],[f1945,f5302])).
65.67/9.76	tff(f5302,plain,(
65.67/9.76	  mem2(sF96,sK3) | ~spl108_153),
65.67/9.76	  inference(avatar_component_clause,[],[f5300])).
65.67/9.76	tff(f5300,plain,(
65.67/9.76	  spl108_153 <=> mem2(sF96,sK3)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_153])])).
65.67/9.76	tff(f1945,plain,(
65.67/9.76	  ( ! [X1 : lpvertexcm_vertexrp] : (~mem2(X1,sK3) | sF101 = X1 | mem2(X1,sK6)) ) | ~spl108_72),
65.67/9.76	  inference(superposition,[],[f1025,f1822])).
65.67/9.76	tff(f1822,plain,(
65.67/9.76	  sK3 = add2(sF101,sK6) | ~spl108_72),
65.67/9.76	  inference(avatar_component_clause,[],[f1820])).
65.67/9.76	tff(f1820,plain,(
65.67/9.76	  spl108_72 <=> sK3 = add2(sF101,sK6)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_72])])).
65.67/9.76	tff(f1025,plain,(
65.67/9.76	  ( ! [X2 : set_lpvertexcm_vertexrp,X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (~mem2(X0,add2(X1,X2)) | X0 = X1 | mem2(X0,X2)) )),
65.67/9.76	  inference(cnf_transformation,[],[f645])).
65.67/9.76	tff(f645,plain,(
65.67/9.76	  ! [X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : ((mem2(X0,add2(X1,X2)) | (~mem2(X0,X2) & X0 != X1)) & (mem2(X0,X2) | X0 = X1 | ~mem2(X0,add2(X1,X2))))),
65.67/9.76	  inference(flattening,[],[f644])).
65.67/9.76	tff(f644,plain,(
65.67/9.76	  ! [X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : ((mem2(X0,add2(X1,X2)) | (~mem2(X0,X2) & X0 != X1)) & ((mem2(X0,X2) | X0 = X1) | ~mem2(X0,add2(X1,X2))))),
65.67/9.76	  inference(nnf_transformation,[],[f367])).
65.67/9.76	tff(f367,plain,(
65.67/9.76	  ! [X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : (mem2(X0,add2(X1,X2)) <=> (mem2(X0,X2) | X0 = X1))),
65.67/9.76	  inference(rectify,[],[f104])).
65.67/9.76	tff(f104,axiom,(
65.67/9.76	  ! [X1 : lpvertexcm_vertexrp,X11 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : (mem2(X1,add2(X11,X2)) <=> (mem2(X1,X2) | X1 = X11))),
65.67/9.76	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_def1)).
65.67/9.76	tff(f2157,plain,(
65.67/9.76	  ~mem2(sF96,sK6) | spl108_81),
65.67/9.76	  inference(avatar_component_clause,[],[f2155])).
65.67/9.76	tff(f2155,plain,(
65.67/9.76	  spl108_81 <=> mem2(sF96,sK6)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_81])])).
65.67/9.76	tff(f35072,plain,(
65.67/9.76	  ~spl108_42 | ~spl108_72 | spl108_81 | ~spl108_146 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35071])).
65.67/9.76	tff(f35071,plain,(
65.67/9.76	  $false | (~spl108_42 | ~spl108_72 | spl108_81 | ~spl108_146 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35070,plain,(
65.67/9.76	  ~spl108_2 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35069])).
65.67/9.76	tff(f35069,plain,(
65.67/9.76	  $false | (~spl108_2 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35068,plain,(
65.67/9.76	  spl108_8 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35067])).
65.67/9.76	tff(f35067,plain,(
65.67/9.76	  $false | (spl108_8 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35066,plain,(
65.67/9.76	  ~spl108_9 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35065])).
65.67/9.76	tff(f35065,plain,(
65.67/9.76	  $false | (~spl108_9 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35064,plain,(
65.67/9.76	  ~spl108_11 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35063])).
65.67/9.76	tff(f35063,plain,(
65.67/9.76	  $false | (~spl108_11 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35062,plain,(
65.67/9.76	  ~spl108_19 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35061])).
65.67/9.76	tff(f35061,plain,(
65.67/9.76	  $false | (~spl108_19 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35060,plain,(
65.67/9.76	  spl108_39 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35059])).
65.67/9.76	tff(f35059,plain,(
65.67/9.76	  $false | (spl108_39 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35058,plain,(
65.67/9.76	  ~spl108_44 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35057])).
65.67/9.76	tff(f35057,plain,(
65.67/9.76	  $false | (~spl108_44 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35056,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35055])).
65.67/9.76	tff(f35055,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35054,plain,(
65.67/9.76	  ~spl108_49 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35053])).
65.67/9.76	tff(f35053,plain,(
65.67/9.76	  $false | (~spl108_49 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35052,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35051])).
65.67/9.76	tff(f35051,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35050,plain,(
65.67/9.76	  ~spl108_72 | ~spl108_73 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35049])).
65.67/9.76	tff(f35049,plain,(
65.67/9.76	  $false | (~spl108_72 | ~spl108_73 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35048,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35047])).
65.67/9.76	tff(f35047,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35046,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35045])).
65.67/9.76	tff(f35045,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35044,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35043])).
65.67/9.76	tff(f35043,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35042,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35041])).
65.67/9.76	tff(f35041,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35040,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35039])).
65.67/9.76	tff(f35039,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35038,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35037])).
65.67/9.76	tff(f35037,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35036,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35035])).
65.67/9.76	tff(f35035,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35034,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35033])).
65.67/9.76	tff(f35033,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35032,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35031])).
65.67/9.76	tff(f35031,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35030,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35029])).
65.67/9.76	tff(f35029,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35028,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35027])).
65.67/9.76	tff(f35027,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35026,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_144 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35025])).
65.67/9.76	tff(f35025,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_144 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35024,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35023])).
65.67/9.76	tff(f35023,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35022,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35021])).
65.67/9.76	tff(f35021,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35020,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35019])).
65.67/9.76	tff(f35019,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35018,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35017])).
65.67/9.76	tff(f35017,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35016,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_145 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35015])).
65.67/9.76	tff(f35015,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_145 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35014,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | ~spl108_159 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35013])).
65.67/9.76	tff(f35013,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | ~spl108_159 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35012,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35011])).
65.67/9.76	tff(f35011,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35010,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35009])).
65.67/9.76	tff(f35009,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34816,f5955])).
65.67/9.76	tff(f35008,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35007])).
65.67/9.76	tff(f35007,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f35006,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35005])).
65.67/9.76	tff(f35005,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f35004,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35003])).
65.67/9.76	tff(f35003,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_122 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f35002,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f35001])).
65.67/9.76	tff(f35001,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f35000,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34999])).
65.67/9.76	tff(f34999,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34998,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34997])).
65.67/9.76	tff(f34997,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34996,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34995])).
65.67/9.76	tff(f34995,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34994,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34993])).
65.67/9.76	tff(f34993,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34992,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34991])).
65.67/9.76	tff(f34991,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34990,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34989])).
65.67/9.76	tff(f34989,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34988,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34987])).
65.67/9.76	tff(f34987,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34986,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34985])).
65.67/9.76	tff(f34985,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_136 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34984,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34983])).
65.67/9.76	tff(f34983,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_138 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34982,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34981])).
65.67/9.76	tff(f34981,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34980,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34979])).
65.67/9.76	tff(f34979,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34978,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34977])).
65.67/9.76	tff(f34977,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34976,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_169 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34975])).
65.67/9.76	tff(f34975,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_169 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34974,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34973])).
65.67/9.76	tff(f34973,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34972,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34971])).
65.67/9.76	tff(f34971,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34970,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34969])).
65.67/9.76	tff(f34969,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34968,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34967])).
65.67/9.76	tff(f34967,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34966,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34965])).
65.67/9.76	tff(f34965,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34964,plain,(
65.67/9.76	  ~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34963])).
65.67/9.76	tff(f34963,plain,(
65.67/9.76	  $false | (~spl108_46 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34962,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34961])).
65.67/9.76	tff(f34961,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34960,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34959])).
65.67/9.76	tff(f34959,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34958,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34957])).
65.67/9.76	tff(f34957,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34956,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34955])).
65.67/9.76	tff(f34955,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34954,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34953])).
65.67/9.76	tff(f34953,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34952,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34951])).
65.67/9.76	tff(f34951,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34950,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34949])).
65.67/9.76	tff(f34949,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34948,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34947])).
65.67/9.76	tff(f34947,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34946,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34945])).
65.67/9.76	tff(f34945,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34944,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34943])).
65.67/9.76	tff(f34943,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34942,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34941])).
65.67/9.76	tff(f34941,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34940,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34939])).
65.67/9.76	tff(f34939,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34938,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_174 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34937])).
65.67/9.76	tff(f34937,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_174 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34936,plain,(
65.67/9.76	  ~spl108_12 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34935])).
65.67/9.76	tff(f34935,plain,(
65.67/9.76	  $false | (~spl108_12 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34934,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_150 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34933])).
65.67/9.76	tff(f34933,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_150 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34932,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | spl108_151 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34931])).
65.67/9.76	tff(f34931,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | spl108_151 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34930,plain,(
65.67/9.76	  ~spl108_33 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34929])).
65.67/9.76	tff(f34929,plain,(
65.67/9.76	  $false | (~spl108_33 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34928,plain,(
65.67/9.76	  ~spl108_12 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34927])).
65.67/9.76	tff(f34927,plain,(
65.67/9.76	  $false | (~spl108_12 | ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34926,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_130 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34925])).
65.67/9.76	tff(f34925,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_130 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34924,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | ~spl108_170 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34923])).
65.67/9.76	tff(f34923,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | ~spl108_170 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34922,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34921])).
65.67/9.76	tff(f34921,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34920,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34919])).
65.67/9.76	tff(f34919,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34918,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34917])).
65.67/9.76	tff(f34917,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34916,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34915])).
65.67/9.76	tff(f34915,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34914,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34913])).
65.67/9.76	tff(f34913,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34912,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34911])).
65.67/9.76	tff(f34911,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34910,plain,(
65.67/9.76	  ~spl108_72 | spl108_81 | ~spl108_153 | spl108_187),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34909])).
65.67/9.76	tff(f34909,plain,(
65.67/9.76	  $false | (~spl108_72 | spl108_81 | ~spl108_153 | spl108_187)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f5955,f34816])).
65.67/9.76	tff(f34908,plain,(
65.67/9.76	  ~spl108_2 | ~spl108_44 | ~spl108_72 | spl108_81 | spl108_147 | ~spl108_153 | spl108_174),
65.67/9.76	  inference(avatar_contradiction_clause,[],[f34907])).
65.67/9.76	tff(f34907,plain,(
65.67/9.76	  $false | (~spl108_2 | ~spl108_44 | ~spl108_72 | spl108_81 | spl108_147 | ~spl108_153 | spl108_174)),
65.67/9.76	  inference(global_subsumption,[],[f2157,f34884,f34906])).
65.67/9.76	tff(f34906,plain,(
65.67/9.76	  sK18 = sF96 | mem2(sF96,sK6) | (~spl108_2 | ~spl108_72 | spl108_147 | ~spl108_153)),
65.67/9.76	  inference(forward_demodulation,[],[f34816,f34818])).
65.67/9.76	tff(f34818,plain,(
65.67/9.76	  sK18 = sF101 | (~spl108_2 | ~spl108_72 | spl108_147)),
65.67/9.76	  inference(global_subsumption,[],[f5184,f34806])).
65.67/9.76	tff(f34806,plain,(
65.67/9.76	  sK18 = sF101 | mem2(sK18,sK6) | (~spl108_2 | ~spl108_72)),
65.67/9.76	  inference(resolution,[],[f1945,f1223])).
65.67/9.76	tff(f1223,plain,(
65.67/9.76	  mem2(sK18,sK3) | ~spl108_2),
65.67/9.76	  inference(avatar_component_clause,[],[f1221])).
65.67/9.76	tff(f1221,plain,(
65.67/9.76	  spl108_2 <=> mem2(sK18,sK3)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_2])])).
65.67/9.76	tff(f5184,plain,(
65.67/9.76	  ~mem2(sK18,sK6) | spl108_147),
65.67/9.76	  inference(avatar_component_clause,[],[f5183])).
65.67/9.76	tff(f5183,plain,(
65.67/9.76	  spl108_147 <=> mem2(sK18,sK6)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_147])])).
65.67/9.76	tff(f34884,plain,(
65.67/9.76	  sK18 != sF96 | (~spl108_2 | ~spl108_44 | ~spl108_72 | spl108_147 | spl108_174)),
65.67/9.76	  inference(backward_demodulation,[],[f5803,f34824])).
65.67/9.76	tff(f34824,plain,(
65.67/9.76	  tuple22(sK7,sK8) = sK18 | (~spl108_2 | ~spl108_44 | ~spl108_72 | spl108_147)),
65.67/9.76	  inference(backward_demodulation,[],[f1469,f34818])).
65.67/9.76	tff(f1469,plain,(
65.67/9.76	  tuple22(sK7,sK8) = sF101 | ~spl108_44),
65.67/9.76	  inference(avatar_component_clause,[],[f1467])).
65.67/9.76	tff(f1467,plain,(
65.67/9.76	  spl108_44 <=> tuple22(sK7,sK8) = sF101),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_44])])).
65.67/9.76	tff(f5803,plain,(
65.67/9.76	  tuple22(sK7,sK8) != sF96 | spl108_174),
65.67/9.76	  inference(avatar_component_clause,[],[f5802])).
65.67/9.76	tff(f5802,plain,(
65.67/9.76	  spl108_174 <=> tuple22(sK7,sK8) = sF96),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_174])])).
65.67/9.76	tff(f34791,plain,(
65.67/9.76	  ~spl108_358 | ~spl108_356),
65.67/9.76	  inference(avatar_split_clause,[],[f34747,f34716,f34788])).
65.67/9.76	tff(f34788,plain,(
65.67/9.76	  spl108_358 <=> infinite = add3(sF99,sF99)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_358])])).
65.67/9.76	tff(f34716,plain,(
65.67/9.76	  spl108_356 <=> finite($sum(sK11,sK11)) = add3(sF99,sF99)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_356])])).
65.67/9.76	tff(f34747,plain,(
65.67/9.76	  infinite != add3(sF99,sF99) | ~spl108_356),
65.67/9.76	  inference(superposition,[],[f765,f34718])).
65.67/9.76	tff(f34718,plain,(
65.67/9.76	  finite($sum(sK11,sK11)) = add3(sF99,sF99) | ~spl108_356),
65.67/9.76	  inference(avatar_component_clause,[],[f34716])).
65.67/9.76	tff(f765,plain,(
65.67/9.76	  ( ! [X0 : $int] : (infinite != finite(X0)) )),
65.67/9.76	  inference(cnf_transformation,[],[f218])).
65.67/9.76	tff(f218,plain,(
65.67/9.76	  ! [X0 : $int] : infinite != finite(X0)),
65.67/9.76	  inference(rectify,[],[f170])).
65.67/9.76	tff(f170,axiom,(
65.67/9.76	  ! [X15 : $int] : infinite != finite(X15)),
65.67/9.76	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_Infinite)).
65.67/9.76	tff(f34724,plain,(
65.67/9.76	  ~spl108_357 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f34664,f1342,f34721])).
65.67/9.76	tff(f34721,plain,(
65.67/9.76	  spl108_357 <=> $less($sum(163,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_357])])).
65.67/9.76	tff(f1342,plain,(
65.67/9.76	  spl108_23 <=> length1(sK13) = sF98),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_23])])).
65.67/9.76	tff(f34664,plain,(
65.67/9.76	  ~$less($sum(163,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f34088,f1344])).
65.67/9.76	tff(f1344,plain,(
65.67/9.76	  length1(sK13) = sF98 | ~spl108_23),
65.67/9.76	  inference(avatar_component_clause,[],[f1342])).
65.67/9.76	tff(f34088,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(163,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f34080])).
65.67/9.76	tff(f34080,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(162,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f33770,f755])).
65.67/9.76	tff(f755,plain,(
65.67/9.76	  ( ! [X0 : vertex,X1 : list_vertex] : (length1(tb2t3(cons(vertex1,t2tb(X0),t2tb3(X1)))) = $sum(1,length1(X1))) )),
65.67/9.76	  inference(cnf_transformation,[],[f213])).
65.67/9.76	tff(f213,plain,(
65.67/9.76	  ! [X0 : vertex,X1 : list_vertex] : length1(tb2t3(cons(vertex1,t2tb(X0),t2tb3(X1)))) = $sum(1,length1(X1)) & 0 = length1(tb2t3(nil(vertex1)))),
65.67/9.76	  inference(rectify,[],[f189])).
65.67/9.76	tff(f189,axiom,(
65.67/9.76	  ! [X1 : vertex,X21 : list_vertex] : length1(tb2t3(cons(vertex1,t2tb(X1),t2tb3(X21)))) = $sum(1,length1(X21)) & 0 = length1(tb2t3(nil(vertex1)))),
65.67/9.76	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)).
65.67/9.76	tff(f33770,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(162,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f33762])).
65.67/9.76	tff(f33762,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(161,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f33268,f755])).
65.67/9.76	tff(f33268,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(161,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f33260])).
65.67/9.76	tff(f33260,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(160,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f32718,f755])).
65.67/9.76	tff(f32718,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(160,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f32710])).
65.67/9.76	tff(f32710,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(159,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f32421,f755])).
65.67/9.76	tff(f32421,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(159,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f32413])).
65.67/9.76	tff(f32413,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(158,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f32232,f755])).
65.67/9.76	tff(f32232,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(158,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f32224])).
65.67/9.76	tff(f32224,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(157,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f31934,f755])).
65.67/9.76	tff(f31934,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(157,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f31926])).
65.67/9.76	tff(f31926,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(156,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f31624,f755])).
65.67/9.76	tff(f31624,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(156,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f31616])).
65.67/9.76	tff(f31616,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(155,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f31339,f755])).
65.67/9.76	tff(f31339,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(155,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f31331])).
65.67/9.76	tff(f31331,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(154,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f31203,f755])).
65.67/9.76	tff(f31203,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(154,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f31195])).
65.67/9.76	tff(f31195,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(153,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f31032,f755])).
65.67/9.76	tff(f31032,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(153,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f31024])).
65.67/9.76	tff(f31024,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(152,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f30885,f755])).
65.67/9.76	tff(f30885,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(152,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f30877])).
65.67/9.76	tff(f30877,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(151,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f30752,f755])).
65.67/9.76	tff(f30752,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(151,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f30744])).
65.67/9.76	tff(f30744,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(150,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f30563,f755])).
65.67/9.76	tff(f30563,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(150,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f30555])).
65.67/9.76	tff(f30555,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(149,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f30422,f755])).
65.67/9.76	tff(f30422,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(149,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f30414])).
65.67/9.76	tff(f30414,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(148,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f30233,f755])).
65.67/9.76	tff(f30233,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(148,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f30225])).
65.67/9.76	tff(f30225,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(147,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f30056,f755])).
65.67/9.76	tff(f30056,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(147,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f30048])).
65.67/9.76	tff(f30048,plain,(
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65.67/9.76	  inference(evaluation,[],[f2361])).
65.67/9.76	tff(f2361,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(6,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f2337,f755])).
65.67/9.76	tff(f2337,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(6,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f2335])).
65.67/9.76	tff(f2335,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(5,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f2294,f755])).
65.67/9.76	tff(f2294,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(5,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f2290])).
65.67/9.76	tff(f2290,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(4,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f2260,f755])).
65.67/9.76	tff(f2260,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(4,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f2256])).
65.67/9.76	tff(f2256,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(3,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f2237,f755])).
65.67/9.76	tff(f2237,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(3,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f2233])).
65.67/9.76	tff(f2233,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(2,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f2209,f755])).
65.67/9.76	tff(f2209,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(2,length1(X1)),0)) )),
65.67/9.76	  inference(evaluation,[],[f2205])).
65.67/9.76	tff(f2205,plain,(
65.67/9.76	  ( ! [X1 : list_vertex] : (~$less($sum(1,$sum(1,length1(X1))),0)) )),
65.67/9.76	  inference(superposition,[],[f2202,f755])).
65.67/9.76	tff(f2202,plain,(
65.67/9.76	  ( ! [X3 : list_vertex] : (~$less($sum(1,length1(X3)),0)) )),
65.67/9.76	  inference(superposition,[],[f768,f755])).
65.67/9.76	tff(f768,plain,(
65.67/9.76	  ( ! [X0 : list_vertex] : (~$less(length1(X0),0)) )),
65.67/9.76	  inference(cnf_transformation,[],[f221])).
65.67/9.76	tff(f221,plain,(
65.67/9.76	  ! [X0 : list_vertex] : ~$less(length1(X0),0)),
65.67/9.76	  inference(rectify,[],[f202])).
65.67/9.76	tff(f202,plain,(
65.67/9.76	  ! [X5 : list_vertex] : ~$less(length1(X5),0)),
65.67/9.76	  inference(theory_normalization,[],[f159])).
65.67/9.76	tff(f159,axiom,(
65.67/9.76	  ! [X5 : list_vertex] : $lesseq(0,length1(X5))),
65.67/9.76	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative)).
65.67/9.76	tff(f34719,plain,(
65.67/9.76	  spl108_356 | ~spl108_18),
65.67/9.76	  inference(avatar_split_clause,[],[f4704,f1304,f34716])).
65.67/9.76	tff(f1304,plain,(
65.67/9.76	  spl108_18 <=> finite(sK11) = sF99),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_18])])).
65.67/9.76	tff(f4704,plain,(
65.67/9.76	  finite($sum(sK11,sK11)) = add3(sF99,sF99) | ~spl108_18),
65.67/9.76	  inference(superposition,[],[f1744,f1306])).
65.67/9.76	tff(f1306,plain,(
65.67/9.76	  finite(sK11) = sF99 | ~spl108_18),
65.67/9.76	  inference(avatar_component_clause,[],[f1304])).
65.67/9.76	tff(f1744,plain,(
65.67/9.76	  ( ! [X0 : $int] : (finite($sum(sK11,X0)) = add3(sF99,finite(X0))) ) | ~spl108_18),
65.67/9.76	  inference(superposition,[],[f794,f1306])).
65.67/9.76	tff(f794,plain,(
65.67/9.76	  ( ! [X2 : $int,X1 : $int] : (add3(finite(X1),finite(X2)) = finite($sum(X1,X2))) )),
65.67/9.76	  inference(cnf_transformation,[],[f239])).
65.67/9.76	tff(f239,plain,(
65.67/9.76	  ! [X0 : t] : (! [X1 : $int] : (infinite = add3(finite(X1),infinite) & ! [X2 : $int] : add3(finite(X1),finite(X2)) = finite($sum(X1,X2))) & infinite = add3(infinite,X0))),
65.67/9.76	  inference(rectify,[],[f192])).
65.67/9.76	tff(f192,axiom,(
65.67/9.76	  ! [X11 : t] : (! [X1 : $int] : (infinite = add3(finite(X1),infinite) & ! [X38 : $int] : add3(finite(X1),finite(X38)) = finite($sum(X1,X38))) & infinite = add3(infinite,X11))),
65.67/9.76	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_def)).
65.67/9.76	tff(f34393,plain,(
65.67/9.76	  ~spl108_355 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f34078,f1342,f34390])).
65.67/9.76	tff(f34390,plain,(
65.67/9.76	  spl108_355 <=> $less($sum(162,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_355])])).
65.67/9.76	tff(f34078,plain,(
65.67/9.76	  ~$less($sum(162,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f33770,f1344])).
65.67/9.76	tff(f33861,plain,(
65.67/9.76	  ~spl108_354 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f33760,f1342,f33858])).
65.67/9.76	tff(f33858,plain,(
65.67/9.76	  spl108_354 <=> $less($sum(161,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_354])])).
65.67/9.76	tff(f33760,plain,(
65.67/9.76	  ~$less($sum(161,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f33268,f1344])).
65.67/9.76	tff(f33469,plain,(
65.67/9.76	  ~spl108_353 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f33258,f1342,f33466])).
65.67/9.76	tff(f33466,plain,(
65.67/9.76	  spl108_353 <=> $less($sum(160,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_353])])).
65.67/9.76	tff(f33258,plain,(
65.67/9.76	  ~$less($sum(160,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f32718,f1344])).
65.67/9.76	tff(f33023,plain,(
65.67/9.76	  ~spl108_352 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f32708,f1342,f33020])).
65.67/9.76	tff(f33020,plain,(
65.67/9.76	  spl108_352 <=> $less($sum(159,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_352])])).
65.67/9.76	tff(f32708,plain,(
65.67/9.76	  ~$less($sum(159,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f32421,f1344])).
65.67/9.76	tff(f32616,plain,(
65.67/9.76	  ~spl108_351 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f32411,f1342,f32613])).
65.67/9.76	tff(f32613,plain,(
65.67/9.76	  spl108_351 <=> $less($sum(158,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_351])])).
65.67/9.76	tff(f32411,plain,(
65.67/9.76	  ~$less($sum(158,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f32232,f1344])).
65.67/9.76	tff(f32295,plain,(
65.67/9.76	  ~spl108_350 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f32222,f1342,f32292])).
65.67/9.76	tff(f32292,plain,(
65.67/9.76	  spl108_350 <=> $less($sum(157,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_350])])).
65.67/9.76	tff(f32222,plain,(
65.67/9.76	  ~$less($sum(157,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f31934,f1344])).
65.67/9.76	tff(f31997,plain,(
65.67/9.76	  ~spl108_349 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f31924,f1342,f31994])).
65.67/9.76	tff(f31994,plain,(
65.67/9.76	  spl108_349 <=> $less($sum(156,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_349])])).
65.67/9.76	tff(f31924,plain,(
65.67/9.76	  ~$less($sum(156,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f31624,f1344])).
65.67/9.76	tff(f31687,plain,(
65.67/9.76	  ~spl108_348 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f31614,f1342,f31684])).
65.67/9.76	tff(f31684,plain,(
65.67/9.76	  spl108_348 <=> $less($sum(155,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_348])])).
65.67/9.76	tff(f31614,plain,(
65.67/9.76	  ~$less($sum(155,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f31339,f1344])).
65.67/9.76	tff(f31523,plain,(
65.67/9.76	  ~spl108_347 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f31329,f1342,f31520])).
65.67/9.76	tff(f31520,plain,(
65.67/9.76	  spl108_347 <=> $less($sum(154,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_347])])).
65.67/9.76	tff(f31329,plain,(
65.67/9.76	  ~$less($sum(154,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f31203,f1344])).
65.67/9.76	tff(f31241,plain,(
65.67/9.76	  ~spl108_346 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f31193,f1342,f31238])).
65.67/9.76	tff(f31238,plain,(
65.67/9.76	  spl108_346 <=> $less($sum(153,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_346])])).
65.67/9.76	tff(f31193,plain,(
65.67/9.76	  ~$less($sum(153,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f31032,f1344])).
65.67/9.76	tff(f31062,plain,(
65.67/9.76	  ~spl108_345 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f31022,f1342,f31059])).
65.67/9.76	tff(f31059,plain,(
65.67/9.76	  spl108_345 <=> $less($sum(152,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_345])])).
65.67/9.76	tff(f31022,plain,(
65.67/9.76	  ~$less($sum(152,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f30885,f1344])).
65.67/9.76	tff(f30934,plain,(
65.67/9.76	  ~spl108_344 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f30875,f1342,f30931])).
65.67/9.76	tff(f30931,plain,(
65.67/9.76	  spl108_344 <=> $less($sum(151,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_344])])).
65.67/9.76	tff(f30875,plain,(
65.67/9.76	  ~$less($sum(151,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f30752,f1344])).
65.67/9.76	tff(f30765,plain,(
65.67/9.76	  ~spl108_343 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f30742,f1342,f30762])).
65.67/9.76	tff(f30762,plain,(
65.67/9.76	  spl108_343 <=> $less($sum(150,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_343])])).
65.67/9.76	tff(f30742,plain,(
65.67/9.76	  ~$less($sum(150,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f30563,f1344])).
65.67/9.76	tff(f30626,plain,(
65.67/9.76	  ~spl108_342 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f30553,f1342,f30623])).
65.67/9.76	tff(f30623,plain,(
65.67/9.76	  spl108_342 <=> $less($sum(149,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_342])])).
65.67/9.76	tff(f30553,plain,(
65.67/9.76	  ~$less($sum(149,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f30422,f1344])).
65.67/9.76	tff(f30485,plain,(
65.67/9.76	  ~spl108_341 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f30412,f1342,f30482])).
65.67/9.76	tff(f30482,plain,(
65.67/9.76	  spl108_341 <=> $less($sum(148,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_341])])).
65.67/9.76	tff(f30412,plain,(
65.67/9.76	  ~$less($sum(148,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f30233,f1344])).
65.67/9.76	tff(f30295,plain,(
65.67/9.76	  ~spl108_340 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f30223,f1342,f30292])).
65.67/9.76	tff(f30292,plain,(
65.67/9.76	  spl108_340 <=> $less($sum(147,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_340])])).
65.67/9.76	tff(f30223,plain,(
65.67/9.76	  ~$less($sum(147,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f30056,f1344])).
65.67/9.76	tff(f30106,plain,(
65.67/9.76	  ~spl108_339 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f30046,f1342,f30103])).
65.67/9.76	tff(f30103,plain,(
65.67/9.76	  spl108_339 <=> $less($sum(146,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_339])])).
65.67/9.76	tff(f30046,plain,(
65.67/9.76	  ~$less($sum(146,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f29905,f1344])).
65.67/9.76	tff(f29943,plain,(
65.67/9.76	  ~spl108_338 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f29895,f1342,f29940])).
65.67/9.76	tff(f29940,plain,(
65.67/9.76	  spl108_338 <=> $less($sum(145,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_338])])).
65.67/9.76	tff(f29895,plain,(
65.67/9.76	  ~$less($sum(145,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f29702,f1344])).
65.67/9.76	tff(f29765,plain,(
65.67/9.76	  ~spl108_337 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f29692,f1342,f29762])).
65.67/9.76	tff(f29762,plain,(
65.67/9.76	  spl108_337 <=> $less($sum(144,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_337])])).
65.67/9.76	tff(f29692,plain,(
65.67/9.76	  ~$less($sum(144,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f29514,f1344])).
65.67/9.76	tff(f29576,plain,(
65.67/9.76	  ~spl108_336 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f29504,f1342,f29573])).
65.67/9.76	tff(f29573,plain,(
65.67/9.76	  spl108_336 <=> $less($sum(143,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_336])])).
65.67/9.76	tff(f29504,plain,(
65.67/9.76	  ~$less($sum(143,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f29334,f1344])).
65.67/9.76	tff(f29387,plain,(
65.67/9.76	  ~spl108_335 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f29324,f1342,f29384])).
65.67/9.76	tff(f29384,plain,(
65.67/9.76	  spl108_335 <=> $less($sum(142,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_335])])).
65.67/9.76	tff(f29324,plain,(
65.67/9.76	  ~$less($sum(142,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f29174,f1344])).
65.67/9.76	tff(f29236,plain,(
65.67/9.76	  ~spl108_334 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f29164,f1342,f29233])).
65.67/9.76	tff(f29233,plain,(
65.67/9.76	  spl108_334 <=> $less($sum(141,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_334])])).
65.67/9.76	tff(f29164,plain,(
65.67/9.76	  ~$less($sum(141,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f28998,f1344])).
65.67/9.76	tff(f29061,plain,(
65.67/9.76	  ~spl108_333 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f28988,f1342,f29058])).
65.67/9.76	tff(f29058,plain,(
65.67/9.76	  spl108_333 <=> $less($sum(140,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_333])])).
65.67/9.76	tff(f28988,plain,(
65.67/9.76	  ~$less($sum(140,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f28819,f1344])).
65.67/9.76	tff(f28872,plain,(
65.67/9.76	  ~spl108_332 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f28809,f1342,f28869])).
65.67/9.76	tff(f28869,plain,(
65.67/9.76	  spl108_332 <=> $less($sum(139,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_332])])).
65.67/9.76	tff(f28809,plain,(
65.67/9.76	  ~$less($sum(139,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f28654,f1344])).
65.67/9.76	tff(f28709,plain,(
65.67/9.76	  ~spl108_331 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f28644,f1342,f28706])).
65.67/9.76	tff(f28706,plain,(
65.67/9.76	  spl108_331 <=> $less($sum(138,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_331])])).
65.67/9.76	tff(f28644,plain,(
65.67/9.76	  ~$less($sum(138,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f28479,f1344])).
65.67/9.76	tff(f28527,plain,(
65.67/9.76	  ~spl108_330 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f28469,f1342,f28524])).
65.67/9.76	tff(f28524,plain,(
65.67/9.76	  spl108_330 <=> $less($sum(137,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_330])])).
65.67/9.76	tff(f28469,plain,(
65.67/9.76	  ~$less($sum(137,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f28310,f1344])).
65.67/9.76	tff(f28373,plain,(
65.67/9.76	  ~spl108_329 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f28300,f1342,f28370])).
65.67/9.76	tff(f28370,plain,(
65.67/9.76	  spl108_329 <=> $less($sum(136,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_329])])).
65.67/9.76	tff(f28300,plain,(
65.67/9.76	  ~$less($sum(136,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f28163,f1344])).
65.67/9.76	tff(f28212,plain,(
65.67/9.76	  ~spl108_328 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f28153,f1342,f28209])).
65.67/9.76	tff(f28209,plain,(
65.67/9.76	  spl108_328 <=> $less($sum(135,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_328])])).
65.67/9.76	tff(f28153,plain,(
65.67/9.76	  ~$less($sum(135,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f28037,f1344])).
65.67/9.76	tff(f28065,plain,(
65.67/9.76	  ~spl108_327 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f28027,f1342,f28062])).
65.67/9.76	tff(f28062,plain,(
65.67/9.76	  spl108_327 <=> $less($sum(134,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_327])])).
65.67/9.76	tff(f28027,plain,(
65.67/9.76	  ~$less($sum(134,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f27875,f1344])).
65.67/9.76	tff(f27939,plain,(
65.67/9.76	  ~spl108_326 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f27865,f1342,f27936])).
65.67/9.76	tff(f27936,plain,(
65.67/9.76	  spl108_326 <=> $less($sum(133,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_326])])).
65.67/9.76	tff(f27865,plain,(
65.67/9.76	  ~$less($sum(133,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f27728,f1344])).
65.67/9.76	tff(f27777,plain,(
65.67/9.76	  ~spl108_325 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f27718,f1342,f27774])).
65.67/9.76	tff(f27774,plain,(
65.67/9.76	  spl108_325 <=> $less($sum(132,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_325])])).
65.67/9.76	tff(f27718,plain,(
65.67/9.76	  ~$less($sum(132,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f27584,f1344])).
65.67/9.76	tff(f27632,plain,(
65.67/9.76	  ~spl108_324 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f27574,f1342,f27629])).
65.67/9.76	tff(f27629,plain,(
65.67/9.76	  spl108_324 <=> $less($sum(131,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_324])])).
65.67/9.76	tff(f27574,plain,(
65.67/9.76	  ~$less($sum(131,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f27170,f1344])).
65.67/9.76	tff(f27491,plain,(
65.67/9.76	  ~spl108_323 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f27160,f1342,f27488])).
65.67/9.76	tff(f27488,plain,(
65.67/9.76	  spl108_323 <=> $less($sum(130,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_323])])).
65.67/9.76	tff(f27160,plain,(
65.67/9.76	  ~$less($sum(130,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f26537,f1344])).
65.67/9.76	tff(f26558,plain,(
65.67/9.76	  ~spl108_322 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f26527,f1342,f26555])).
65.67/9.76	tff(f26555,plain,(
65.67/9.76	  spl108_322 <=> $less($sum(129,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_322])])).
65.67/9.76	tff(f26527,plain,(
65.67/9.76	  ~$less($sum(129,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f26509,f1344])).
65.67/9.76	tff(f26520,plain,(
65.67/9.76	  ~spl108_321 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f26499,f1342,f26517])).
65.67/9.76	tff(f26517,plain,(
65.67/9.76	  spl108_321 <=> $less($sum(128,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_321])])).
65.67/9.76	tff(f26499,plain,(
65.67/9.76	  ~$less($sum(128,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f26443,f1344])).
65.67/9.76	tff(f26482,plain,(
65.67/9.76	  ~spl108_320 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f26433,f1342,f26479])).
65.67/9.76	tff(f26479,plain,(
65.67/9.76	  spl108_320 <=> $less($sum(127,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_320])])).
65.67/9.76	tff(f26433,plain,(
65.67/9.76	  ~$less($sum(127,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f25266,f1344])).
65.67/9.76	tff(f25815,plain,(
65.67/9.76	  ~spl108_319 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f25256,f1342,f25812])).
65.67/9.76	tff(f25812,plain,(
65.67/9.76	  spl108_319 <=> $less($sum(126,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_319])])).
65.67/9.76	tff(f25256,plain,(
65.67/9.76	  ~$less($sum(126,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f23881,f1344])).
65.67/9.76	tff(f24184,plain,(
65.67/9.76	  ~spl108_318 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f23871,f1342,f24181])).
65.67/9.76	tff(f24181,plain,(
65.67/9.76	  spl108_318 <=> $less($sum(125,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_318])])).
65.67/9.76	tff(f23871,plain,(
65.67/9.76	  ~$less($sum(125,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f23683,f1344])).
65.67/9.76	tff(f23742,plain,(
65.67/9.76	  ~spl108_317 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f23673,f1342,f23739])).
65.67/9.76	tff(f23739,plain,(
65.67/9.76	  spl108_317 <=> $less($sum(124,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_317])])).
65.67/9.76	tff(f23673,plain,(
65.67/9.76	  ~$less($sum(124,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f22627,f1344])).
65.67/9.76	tff(f22895,plain,(
65.67/9.76	  ~spl108_316 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f22617,f1342,f22892])).
65.67/9.76	tff(f22892,plain,(
65.67/9.76	  spl108_316 <=> $less($sum(123,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_316])])).
65.67/9.76	tff(f22617,plain,(
65.67/9.76	  ~$less($sum(123,sF98),0) | ~spl108_23),
65.67/9.76	  inference(superposition,[],[f22555,f1344])).
65.67/9.76	tff(f22566,plain,(
65.67/9.76	  ~spl108_315 | ~spl108_23),
65.67/9.76	  inference(avatar_split_clause,[],[f22545,f1342,f22563])).
65.67/9.76	tff(f22563,plain,(
65.67/9.76	  spl108_315 <=> $less($sum(122,sF98),0)),
65.67/9.76	  introduced(avatar_definition,[new_symbols(naming,[spl108_315])])).
65.67/9.76	tff(f22545,plain,(
65.67/9.76	  ~$less($sum(122,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f22519,f1344])).
65.67/9.77	tff(f22534,plain,(
65.67/9.77	  ~spl108_314 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f22509,f1342,f22531])).
65.67/9.77	tff(f22531,plain,(
65.67/9.77	  spl108_314 <=> $less($sum(121,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_314])])).
65.67/9.77	tff(f22509,plain,(
65.67/9.77	  ~$less($sum(121,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f22481,f1344])).
65.67/9.77	tff(f22492,plain,(
65.67/9.77	  ~spl108_313 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f22471,f1342,f22489])).
65.67/9.77	tff(f22489,plain,(
65.67/9.77	  spl108_313 <=> $less($sum(120,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_313])])).
65.67/9.77	tff(f22471,plain,(
65.67/9.77	  ~$less($sum(120,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f22404,f1344])).
65.67/9.77	tff(f22454,plain,(
65.67/9.77	  ~spl108_312 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f22394,f1342,f22451])).
65.67/9.77	tff(f22451,plain,(
65.67/9.77	  spl108_312 <=> $less($sum(119,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_312])])).
65.67/9.77	tff(f22394,plain,(
65.67/9.77	  ~$less($sum(119,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f21385,f1344])).
65.67/9.77	tff(f21850,plain,(
65.67/9.77	  ~spl108_311 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f21375,f1342,f21847])).
65.67/9.77	tff(f21847,plain,(
65.67/9.77	  spl108_311 <=> $less($sum(118,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_311])])).
65.67/9.77	tff(f21375,plain,(
65.67/9.77	  ~$less($sum(118,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f20253,f1344])).
65.67/9.77	tff(f20492,plain,(
65.67/9.77	  ~spl108_310 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f20243,f1342,f20489])).
65.67/9.77	tff(f20489,plain,(
65.67/9.77	  spl108_310 <=> $less($sum(117,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_310])])).
65.67/9.77	tff(f20243,plain,(
65.67/9.77	  ~$less($sum(117,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f20108,f1344])).
65.67/9.77	tff(f20135,plain,(
65.67/9.77	  ~spl108_309 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f20098,f1342,f20132])).
65.67/9.77	tff(f20132,plain,(
65.67/9.77	  spl108_309 <=> $less($sum(116,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_309])])).
65.67/9.77	tff(f20098,plain,(
65.67/9.77	  ~$less($sum(116,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f20051,f1344])).
65.67/9.77	tff(f20060,plain,(
65.67/9.77	  ~spl108_308 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f20041,f1342,f20057])).
65.67/9.77	tff(f20057,plain,(
65.67/9.77	  spl108_308 <=> $less($sum(115,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_308])])).
65.67/9.77	tff(f20041,plain,(
65.67/9.77	  ~$less($sum(115,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f19958,f1344])).
65.67/9.77	tff(f20007,plain,(
65.67/9.77	  ~spl108_307 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f19948,f1342,f20004])).
65.67/9.77	tff(f20004,plain,(
65.67/9.77	  spl108_307 <=> $less($sum(114,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_307])])).
65.67/9.77	tff(f19948,plain,(
65.67/9.77	  ~$less($sum(114,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f18978,f1344])).
65.67/9.77	tff(f19441,plain,(
65.67/9.77	  ~spl108_306 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f18968,f1342,f19438])).
65.67/9.77	tff(f19438,plain,(
65.67/9.77	  spl108_306 <=> $less($sum(113,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_306])])).
65.67/9.77	tff(f18968,plain,(
65.67/9.77	  ~$less($sum(113,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f18242,f1344])).
65.67/9.77	tff(f18286,plain,(
65.67/9.77	  ~spl108_305 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f18232,f1342,f18283])).
65.67/9.77	tff(f18283,plain,(
65.67/9.77	  spl108_305 <=> $less($sum(112,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_305])])).
65.67/9.77	tff(f18232,plain,(
65.67/9.77	  ~$less($sum(112,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f18048,f1344])).
65.67/9.77	tff(f18057,plain,(
65.67/9.77	  ~spl108_304 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f18038,f1342,f18054])).
65.67/9.77	tff(f18054,plain,(
65.67/9.77	  spl108_304 <=> $less($sum(111,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_304])])).
65.67/9.77	tff(f18038,plain,(
65.67/9.77	  ~$less($sum(111,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f18013,f1344])).
65.67/9.77	tff(f18027,plain,(
65.67/9.77	  ~spl108_303 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f18003,f1342,f18024])).
65.67/9.77	tff(f18024,plain,(
65.67/9.77	  spl108_303 <=> $less($sum(110,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_303])])).
65.67/9.77	tff(f18003,plain,(
65.67/9.77	  ~$less($sum(110,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17926,f1344])).
65.67/9.77	tff(f17967,plain,(
65.67/9.77	  ~spl108_302 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17916,f1342,f17964])).
65.67/9.77	tff(f17964,plain,(
65.67/9.77	  spl108_302 <=> $less($sum(109,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_302])])).
65.67/9.77	tff(f17916,plain,(
65.67/9.77	  ~$less($sum(109,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17758,f1344])).
65.67/9.77	tff(f17805,plain,(
65.67/9.77	  ~spl108_301 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17748,f1342,f17802])).
65.67/9.77	tff(f17802,plain,(
65.67/9.77	  spl108_301 <=> $less($sum(108,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_301])])).
65.67/9.77	tff(f17748,plain,(
65.67/9.77	  ~$less($sum(108,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17715,f1344])).
65.67/9.77	tff(f17722,plain,(
65.67/9.77	  ~spl108_300 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17705,f1342,f17719])).
65.67/9.77	tff(f17719,plain,(
65.67/9.77	  spl108_300 <=> $less($sum(107,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_300])])).
65.67/9.77	tff(f17705,plain,(
65.67/9.77	  ~$less($sum(107,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17681,f1344])).
65.67/9.77	tff(f17696,plain,(
65.67/9.77	  ~spl108_299 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17671,f1342,f17693])).
65.67/9.77	tff(f17693,plain,(
65.67/9.77	  spl108_299 <=> $less($sum(106,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_299])])).
65.67/9.77	tff(f17671,plain,(
65.67/9.77	  ~$less($sum(106,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17638,f1344])).
65.67/9.77	tff(f17653,plain,(
65.67/9.77	  ~spl108_298 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17628,f1342,f17650])).
65.67/9.77	tff(f17650,plain,(
65.67/9.77	  spl108_298 <=> $less($sum(105,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_298])])).
65.67/9.77	tff(f17628,plain,(
65.67/9.77	  ~$less($sum(105,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17599,f1344])).
65.67/9.77	tff(f17610,plain,(
65.67/9.77	  ~spl108_297 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17589,f1342,f17607])).
65.67/9.77	tff(f17607,plain,(
65.67/9.77	  spl108_297 <=> $less($sum(104,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_297])])).
65.67/9.77	tff(f17589,plain,(
65.67/9.77	  ~$less($sum(104,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17548,f1344])).
65.67/9.77	tff(f17571,plain,(
65.67/9.77	  ~spl108_296 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17538,f1342,f17568])).
65.67/9.77	tff(f17568,plain,(
65.67/9.77	  spl108_296 <=> $less($sum(103,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_296])])).
65.67/9.77	tff(f17538,plain,(
65.67/9.77	  ~$less($sum(103,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17441,f1344])).
65.67/9.77	tff(f17465,plain,(
65.67/9.77	  ~spl108_295 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17431,f1342,f17462])).
65.67/9.77	tff(f17462,plain,(
65.67/9.77	  spl108_295 <=> $less($sum(102,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_295])])).
65.67/9.77	tff(f17431,plain,(
65.67/9.77	  ~$less($sum(102,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17358,f1344])).
65.67/9.77	tff(f17389,plain,(
65.67/9.77	  ~spl108_294 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17348,f1342,f17386])).
65.67/9.77	tff(f17386,plain,(
65.67/9.77	  spl108_294 <=> $less($sum(101,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_294])])).
65.67/9.77	tff(f17348,plain,(
65.67/9.77	  ~$less($sum(101,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17199,f1344])).
65.67/9.77	tff(f17258,plain,(
65.67/9.77	  ~spl108_293 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17189,f1342,f17255])).
65.67/9.77	tff(f17255,plain,(
65.67/9.77	  spl108_293 <=> $less($sum(100,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_293])])).
65.67/9.77	tff(f17189,plain,(
65.67/9.77	  ~$less($sum(100,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17095,f1344])).
65.67/9.77	tff(f17120,plain,(
65.67/9.77	  ~spl108_292 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17085,f1342,f17117])).
65.67/9.77	tff(f17117,plain,(
65.67/9.77	  spl108_292 <=> $less($sum(99,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_292])])).
65.67/9.77	tff(f17085,plain,(
65.67/9.77	  ~$less($sum(99,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f17023,f1344])).
65.67/9.77	tff(f17030,plain,(
65.67/9.77	  ~spl108_291 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f17013,f1342,f17027])).
65.67/9.77	tff(f17027,plain,(
65.67/9.77	  spl108_291 <=> $less($sum(98,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_291])])).
65.67/9.77	tff(f17013,plain,(
65.67/9.77	  ~$less($sum(98,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f16917,f1344])).
65.67/9.77	tff(f16952,plain,(
65.67/9.77	  ~spl108_290 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f16907,f1342,f16949])).
65.67/9.77	tff(f16949,plain,(
65.67/9.77	  spl108_290 <=> $less($sum(97,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_290])])).
65.67/9.77	tff(f16907,plain,(
65.67/9.77	  ~$less($sum(97,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f16883,f1344])).
65.67/9.77	tff(f16892,plain,(
65.67/9.77	  ~spl108_289 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f16873,f1342,f16889])).
65.67/9.77	tff(f16889,plain,(
65.67/9.77	  spl108_289 <=> $less($sum(96,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_289])])).
65.67/9.77	tff(f16873,plain,(
65.67/9.77	  ~$less($sum(96,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f16824,f1344])).
65.67/9.77	tff(f16849,plain,(
65.67/9.77	  ~spl108_288 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f16814,f1342,f16846])).
65.67/9.77	tff(f16846,plain,(
65.67/9.77	  spl108_288 <=> $less($sum(95,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_288])])).
65.67/9.77	tff(f16814,plain,(
65.67/9.77	  ~$less($sum(95,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f16695,f1344])).
65.67/9.77	tff(f16736,plain,(
65.67/9.77	  ~spl108_287 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f16685,f1342,f16733])).
65.67/9.77	tff(f16733,plain,(
65.67/9.77	  spl108_287 <=> $less($sum(94,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_287])])).
65.67/9.77	tff(f16685,plain,(
65.67/9.77	  ~$less($sum(94,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f16577,f1344])).
65.67/9.77	tff(f16630,plain,(
65.67/9.77	  ~spl108_286 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f16567,f1342,f16627])).
65.67/9.77	tff(f16627,plain,(
65.67/9.77	  spl108_286 <=> $less($sum(93,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_286])])).
65.67/9.77	tff(f16567,plain,(
65.67/9.77	  ~$less($sum(93,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f16108,f1344])).
65.67/9.77	tff(f16154,plain,(
65.67/9.77	  ~spl108_285 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f16098,f1342,f16151])).
65.67/9.77	tff(f16151,plain,(
65.67/9.77	  spl108_285 <=> $less($sum(92,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_285])])).
65.67/9.77	tff(f16098,plain,(
65.67/9.77	  ~$less($sum(92,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f15589,f1344])).
65.67/9.77	tff(f15910,plain,(
65.67/9.77	  ~spl108_284 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f15579,f1342,f15907])).
65.67/9.77	tff(f15907,plain,(
65.67/9.77	  spl108_284 <=> $less($sum(91,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_284])])).
65.67/9.77	tff(f15579,plain,(
65.67/9.77	  ~$less($sum(91,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f15462,f1344])).
65.67/9.77	tff(f15477,plain,(
65.67/9.77	  ~spl108_283 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f15452,f1342,f15474])).
65.67/9.77	tff(f15474,plain,(
65.67/9.77	  spl108_283 <=> $less($sum(90,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_283])])).
65.67/9.77	tff(f15452,plain,(
65.67/9.77	  ~$less($sum(90,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f15369,f1344])).
65.67/9.77	tff(f15386,plain,(
65.67/9.77	  ~spl108_282 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f15359,f1342,f15383])).
65.67/9.77	tff(f15383,plain,(
65.67/9.77	  spl108_282 <=> $less($sum(89,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_282])])).
65.67/9.77	tff(f15359,plain,(
65.67/9.77	  ~$less($sum(89,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f15227,f1344])).
65.67/9.77	tff(f15290,plain,(
65.67/9.77	  ~spl108_281 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f15217,f1342,f15287])).
65.67/9.77	tff(f15287,plain,(
65.67/9.77	  spl108_281 <=> $less($sum(88,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_281])])).
65.67/9.77	tff(f15217,plain,(
65.67/9.77	  ~$less($sum(88,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f15045,f1344])).
65.67/9.77	tff(f15054,plain,(
65.67/9.77	  ~spl108_280 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f15035,f1342,f15051])).
65.67/9.77	tff(f15051,plain,(
65.67/9.77	  spl108_280 <=> $less($sum(87,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_280])])).
65.67/9.77	tff(f15035,plain,(
65.67/9.77	  ~$less($sum(87,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f15005,f1344])).
65.67/9.77	tff(f15020,plain,(
65.67/9.77	  ~spl108_279 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f14995,f1342,f15017])).
65.67/9.77	tff(f15017,plain,(
65.67/9.77	  spl108_279 <=> $less($sum(86,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_279])])).
65.67/9.77	tff(f14995,plain,(
65.67/9.77	  ~$less($sum(86,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f14903,f1344])).
65.67/9.77	tff(f14952,plain,(
65.67/9.77	  ~spl108_278 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f14893,f1342,f14949])).
65.67/9.77	tff(f14949,plain,(
65.67/9.77	  spl108_278 <=> $less($sum(85,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_278])])).
65.67/9.77	tff(f14893,plain,(
65.67/9.77	  ~$less($sum(85,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f14828,f1344])).
65.67/9.77	tff(f14851,plain,(
65.67/9.77	  ~spl108_277 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f14818,f1342,f14848])).
65.67/9.77	tff(f14848,plain,(
65.67/9.77	  spl108_277 <=> $less($sum(84,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_277])])).
65.67/9.77	tff(f14818,plain,(
65.67/9.77	  ~$less($sum(84,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f14804,f1344])).
65.67/9.77	tff(f14811,plain,(
65.67/9.77	  ~spl108_276 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f14794,f1342,f14808])).
65.67/9.77	tff(f14808,plain,(
65.67/9.77	  spl108_276 <=> $less($sum(83,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_276])])).
65.67/9.77	tff(f14794,plain,(
65.67/9.77	  ~$less($sum(83,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f14738,f1344])).
65.67/9.77	tff(f14747,plain,(
65.67/9.77	  ~spl108_275 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f14728,f1342,f14744])).
65.67/9.77	tff(f14744,plain,(
65.67/9.77	  spl108_275 <=> $less($sum(82,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_275])])).
65.67/9.77	tff(f14728,plain,(
65.67/9.77	  ~$less($sum(82,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f14284,f1344])).
65.67/9.77	tff(f14700,plain,(
65.67/9.77	  ~spl108_274 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f14274,f1342,f14697])).
65.67/9.77	tff(f14697,plain,(
65.67/9.77	  spl108_274 <=> $less($sum(81,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_274])])).
65.67/9.77	tff(f14274,plain,(
65.67/9.77	  ~$less($sum(81,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f13915,f1344])).
65.67/9.77	tff(f14162,plain,(
65.67/9.77	  ~spl108_273 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f13905,f1342,f14159])).
65.67/9.77	tff(f14159,plain,(
65.67/9.77	  spl108_273 <=> $less($sum(80,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_273])])).
65.67/9.77	tff(f13905,plain,(
65.67/9.77	  ~$less($sum(80,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f13700,f1344])).
65.67/9.77	tff(f13853,plain,(
65.67/9.77	  ~spl108_272 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f13690,f1342,f13850])).
65.67/9.77	tff(f13850,plain,(
65.67/9.77	  spl108_272 <=> $less($sum(79,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_272])])).
65.67/9.77	tff(f13690,plain,(
65.67/9.77	  ~$less($sum(79,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f13172,f1344])).
65.67/9.77	tff(f13242,plain,(
65.67/9.77	  ~spl108_271 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f13162,f1342,f13239])).
65.67/9.77	tff(f13239,plain,(
65.67/9.77	  spl108_271 <=> $less($sum(78,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_271])])).
65.67/9.77	tff(f13162,plain,(
65.67/9.77	  ~$less($sum(78,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f12989,f1344])).
65.67/9.77	tff(f13036,plain,(
65.67/9.77	  ~spl108_270 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f12979,f1342,f13033])).
65.67/9.77	tff(f13033,plain,(
65.67/9.77	  spl108_270 <=> $less($sum(77,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_270])])).
65.67/9.77	tff(f12979,plain,(
65.67/9.77	  ~$less($sum(77,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f12863,f1344])).
65.67/9.77	tff(f12874,plain,(
65.67/9.77	  ~spl108_269 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f12853,f1342,f12871])).
65.67/9.77	tff(f12871,plain,(
65.67/9.77	  spl108_269 <=> $less($sum(76,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_269])])).
65.67/9.77	tff(f12853,plain,(
65.67/9.77	  ~$less($sum(76,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f12825,f1344])).
65.67/9.77	tff(f12840,plain,(
65.67/9.77	  ~spl108_268 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f12815,f1342,f12837])).
65.67/9.77	tff(f12837,plain,(
65.67/9.77	  spl108_268 <=> $less($sum(75,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_268])])).
65.67/9.77	tff(f12815,plain,(
65.67/9.77	  ~$less($sum(75,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f12756,f1344])).
65.67/9.77	tff(f12767,plain,(
65.67/9.77	  ~spl108_267 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f12746,f1342,f12764])).
65.67/9.77	tff(f12764,plain,(
65.67/9.77	  spl108_267 <=> $less($sum(74,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_267])])).
65.67/9.77	tff(f12746,plain,(
65.67/9.77	  ~$less($sum(74,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f12675,f1344])).
65.67/9.77	tff(f12735,plain,(
65.67/9.77	  ~spl108_266 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f12665,f1342,f12732])).
65.67/9.77	tff(f12732,plain,(
65.67/9.77	  spl108_266 <=> $less($sum(73,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_266])])).
65.67/9.77	tff(f12665,plain,(
65.67/9.77	  ~$less($sum(73,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f12565,f1344])).
65.67/9.77	tff(f12620,plain,(
65.67/9.77	  ~spl108_265 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f12555,f1342,f12617])).
65.67/9.77	tff(f12617,plain,(
65.67/9.77	  spl108_265 <=> $less($sum(72,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_265])])).
65.67/9.77	tff(f12555,plain,(
65.67/9.77	  ~$less($sum(72,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f12526,f1344])).
65.67/9.77	tff(f12535,plain,(
65.67/9.77	  ~spl108_264 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f12516,f1342,f12532])).
65.67/9.77	tff(f12532,plain,(
65.67/9.77	  spl108_264 <=> $less($sum(71,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_264])])).
65.67/9.77	tff(f12516,plain,(
65.67/9.77	  ~$less($sum(71,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11966,f1344])).
65.67/9.77	tff(f11975,plain,(
65.67/9.77	  ~spl108_263 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11956,f1342,f11972])).
65.67/9.77	tff(f11972,plain,(
65.67/9.77	  spl108_263 <=> $less($sum(70,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_263])])).
65.67/9.77	tff(f11956,plain,(
65.67/9.77	  ~$less($sum(70,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11946,f1344])).
65.67/9.77	tff(f11951,plain,(
65.67/9.77	  ~spl108_262 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11936,f1342,f11948])).
65.67/9.77	tff(f11948,plain,(
65.67/9.77	  spl108_262 <=> $less($sum(69,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_262])])).
65.67/9.77	tff(f11936,plain,(
65.67/9.77	  ~$less($sum(69,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11894,f1344])).
65.67/9.77	tff(f11931,plain,(
65.67/9.77	  ~spl108_261 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11884,f1342,f11928])).
65.67/9.77	tff(f11928,plain,(
65.67/9.77	  spl108_261 <=> $less($sum(68,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_261])])).
65.67/9.77	tff(f11884,plain,(
65.67/9.77	  ~$less($sum(68,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11796,f1344])).
65.67/9.77	tff(f11817,plain,(
65.67/9.77	  ~spl108_260 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11786,f1342,f11814])).
65.67/9.77	tff(f11814,plain,(
65.67/9.77	  spl108_260 <=> $less($sum(67,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_260])])).
65.67/9.77	tff(f11786,plain,(
65.67/9.77	  ~$less($sum(67,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11706,f1344])).
65.67/9.77	tff(f11715,plain,(
65.67/9.77	  ~spl108_259 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11696,f1342,f11712])).
65.67/9.77	tff(f11712,plain,(
65.67/9.77	  spl108_259 <=> $less($sum(66,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_259])])).
65.67/9.77	tff(f11696,plain,(
65.67/9.77	  ~$less($sum(66,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11548,f1344])).
65.67/9.77	tff(f11587,plain,(
65.67/9.77	  ~spl108_258 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11538,f1342,f11584])).
65.67/9.77	tff(f11584,plain,(
65.67/9.77	  spl108_258 <=> $less($sum(65,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_258])])).
65.67/9.77	tff(f11538,plain,(
65.67/9.77	  ~$less($sum(65,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11184,f1344])).
65.67/9.77	tff(f11213,plain,(
65.67/9.77	  ~spl108_257 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11174,f1342,f11210])).
65.67/9.77	tff(f11210,plain,(
65.67/9.77	  spl108_257 <=> $less($sum(64,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_257])])).
65.67/9.77	tff(f11174,plain,(
65.67/9.77	  ~$less($sum(64,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f11049,f1344])).
65.67/9.77	tff(f11076,plain,(
65.67/9.77	  ~spl108_256 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f11039,f1342,f11073])).
65.67/9.77	tff(f11073,plain,(
65.67/9.77	  spl108_256 <=> $less($sum(63,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_256])])).
65.67/9.77	tff(f11039,plain,(
65.67/9.77	  ~$less($sum(63,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10993,f1344])).
65.67/9.77	tff(f11006,plain,(
65.67/9.77	  ~spl108_255 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10983,f1342,f11003])).
65.67/9.77	tff(f11003,plain,(
65.67/9.77	  spl108_255 <=> $less($sum(62,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_255])])).
65.67/9.77	tff(f10983,plain,(
65.67/9.77	  ~$less($sum(62,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10934,f1344])).
65.67/9.77	tff(f10957,plain,(
65.67/9.77	  ~spl108_254 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10924,f1342,f10954])).
65.67/9.77	tff(f10954,plain,(
65.67/9.77	  spl108_254 <=> $less($sum(61,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_254])])).
65.67/9.77	tff(f10924,plain,(
65.67/9.77	  ~$less($sum(61,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10827,f1344])).
65.67/9.77	tff(f10859,plain,(
65.67/9.77	  ~spl108_253 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10817,f1342,f10856])).
65.67/9.77	tff(f10856,plain,(
65.67/9.77	  spl108_253 <=> $less($sum(60,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_253])])).
65.67/9.77	tff(f10817,plain,(
65.67/9.77	  ~$less($sum(60,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10781,f1344])).
65.67/9.77	tff(f10790,plain,(
65.67/9.77	  ~spl108_252 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10771,f1342,f10787])).
65.67/9.77	tff(f10787,plain,(
65.67/9.77	  spl108_252 <=> $less($sum(59,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_252])])).
65.67/9.77	tff(f10771,plain,(
65.67/9.77	  ~$less($sum(59,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10753,f1344])).
65.67/9.77	tff(f10758,plain,(
65.67/9.77	  ~spl108_251 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10743,f1342,f10755])).
65.67/9.77	tff(f10755,plain,(
65.67/9.77	  spl108_251 <=> $less($sum(58,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_251])])).
65.67/9.77	tff(f10743,plain,(
65.67/9.77	  ~$less($sum(58,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10705,f1344])).
65.67/9.77	tff(f10721,plain,(
65.67/9.77	  ~spl108_250 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10695,f1342,f10718])).
65.67/9.77	tff(f10718,plain,(
65.67/9.77	  spl108_250 <=> $less($sum(57,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_250])])).
65.67/9.77	tff(f10695,plain,(
65.67/9.77	  ~$less($sum(57,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10673,f1344])).
65.67/9.77	tff(f10680,plain,(
65.67/9.77	  ~spl108_249 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10663,f1342,f10677])).
65.67/9.77	tff(f10677,plain,(
65.67/9.77	  spl108_249 <=> $less($sum(56,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_249])])).
65.67/9.77	tff(f10663,plain,(
65.67/9.77	  ~$less($sum(56,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10617,f1344])).
65.67/9.77	tff(f10626,plain,(
65.67/9.77	  ~spl108_248 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10607,f1342,f10623])).
65.67/9.77	tff(f10623,plain,(
65.67/9.77	  spl108_248 <=> $less($sum(55,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_248])])).
65.67/9.77	tff(f10607,plain,(
65.67/9.77	  ~$less($sum(55,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10545,f1344])).
65.67/9.77	tff(f10590,plain,(
65.67/9.77	  ~spl108_247 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10535,f1342,f10587])).
65.67/9.77	tff(f10587,plain,(
65.67/9.77	  spl108_247 <=> $less($sum(54,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_247])])).
65.67/9.77	tff(f10535,plain,(
65.67/9.77	  ~$less($sum(54,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10351,f1344])).
65.67/9.77	tff(f10421,plain,(
65.67/9.77	  ~spl108_246 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10341,f1342,f10418])).
65.67/9.77	tff(f10418,plain,(
65.67/9.77	  spl108_246 <=> $less($sum(53,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_246])])).
65.67/9.77	tff(f10341,plain,(
65.67/9.77	  ~$less($sum(53,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f10144,f1344])).
65.67/9.77	tff(f10217,plain,(
65.67/9.77	  ~spl108_245 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f10134,f1342,f10214])).
65.67/9.77	tff(f10214,plain,(
65.67/9.77	  spl108_245 <=> $less($sum(52,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_245])])).
65.67/9.77	tff(f10134,plain,(
65.67/9.77	  ~$less($sum(52,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9974,f1344])).
65.67/9.77	tff(f9999,plain,(
65.67/9.77	  ~spl108_244 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9964,f1342,f9996])).
65.67/9.77	tff(f9996,plain,(
65.67/9.77	  spl108_244 <=> $less($sum(51,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_244])])).
65.67/9.77	tff(f9964,plain,(
65.67/9.77	  ~$less($sum(51,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9944,f1344])).
65.67/9.77	tff(f9951,plain,(
65.67/9.77	  ~spl108_243 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9934,f1342,f9948])).
65.67/9.77	tff(f9948,plain,(
65.67/9.77	  spl108_243 <=> $less($sum(50,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_243])])).
65.67/9.77	tff(f9934,plain,(
65.67/9.77	  ~$less($sum(50,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9892,f1344])).
65.67/9.77	tff(f9933,plain,(
65.67/9.77	  spl108_241 | spl108_242),
65.67/9.77	  inference(avatar_split_clause,[],[f2925,f9931,f9928])).
65.67/9.77	tff(f9928,plain,(
65.67/9.77	  spl108_241 <=> ! [X13 : set_lpvertexcm_vertexrp,X12 : $int] : ~inv1(sK0,X12,X13)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_241])])).
65.67/9.77	tff(f9931,plain,(
65.67/9.77	  spl108_242 <=> ! [X11 : $int,X10 : vertex] : (finite(X11) != finite(sK22(X10)) | infinite = get1(sK0,X10) | ~mem1(X10,vertices) | path(s,sK81(X10,X11),X10))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_242])])).
65.67/9.77	tff(f2925,plain,(
65.67/9.77	  ( ! [X10 : vertex,X11 : $int,X12 : $int,X13 : set_lpvertexcm_vertexrp] : (finite(X11) != finite(sK22(X10)) | path(s,sK81(X10,X11),X10) | ~mem1(X10,vertices) | ~inv1(sK0,X12,X13) | infinite = get1(sK0,X10)) )),
65.67/9.77	  inference(duplicate_literal_removal,[],[f2904])).
65.67/9.77	tff(f2904,plain,(
65.67/9.77	  ( ! [X10 : vertex,X11 : $int,X12 : $int,X13 : set_lpvertexcm_vertexrp] : (finite(X11) != finite(sK22(X10)) | path(s,sK81(X10,X11),X10) | ~mem1(X10,vertices) | ~inv1(sK0,X12,X13) | infinite = get1(sK0,X10) | ~mem1(X10,vertices)) )),
65.67/9.77	  inference(superposition,[],[f946,f681])).
65.67/9.77	tff(f681,plain,(
65.67/9.77	  ( ! [X45 : vertex] : (get1(sK0,X45) = finite(sK22(X45)) | infinite = get1(sK0,X45) | ~mem1(X45,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f533,plain,(
65.67/9.77	  ((((((((($less($sum(path_weight(sK13,sK12),weight(sK12,sK10)),sK11) & mem2(tuple22(sK12,sK10),diff2(edges,sK6)) & $less(length1(sK13),sK1) & path(s,sK13,sK12)) & get1(sK9,sK10) = finite(sK11)) & mem1(sK10,vertices)) & ! [X14 : vertex] : ((get1(sK9,X14) = finite(sK14(X14)) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),sK14(X14)) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X17 : vertex,X18 : list_vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),sK14(X14)) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & (sK14(X14) = path_weight(sK15(X14),X14) & path(s,sK15(X14),X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3)))) & infinite = get1(sK9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,sK3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(sK4,X23)) | ((path(s,sK17(X23),X23) & sK16(X23) = path_weight(sK17(X23),X23)) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),sK16(X23)) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X30 : vertex,X31 : list_vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),sK16(X23)) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & get1(sK4,X23) = finite(sK16(X23))) | ~mem1(X23,vertices)) & ~mem2(tuple22(sK7,sK8),diff2(edges,sK3)) & mem2(tuple22(sK7,sK8),edges) & sK6 = remove2(tuple22(sK7,sK8),sK3) & mem2(tuple22(sK7,sK8),sK3)) & mem2(sK18,sK3) & true != sK5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,sK3) | true != sK5) & (true = sK5 | mem2(sK19,sK3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,sK3)) & ! [X36 : vertex] : ((infinite = get1(sK4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,sK3))) & ! [X39 : list_vertex] : (~$less(length1(X39),sK1) | ~path(s,X39,X36))) | (! [X41 : vertex,X42 : list_vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),sK20(X36)) | ~mem2(tuple22(X41,X36),diff2(edges,sK3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),sK20(X36)) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & (sK20(X36) = path_weight(sK21(X36),X36) & path(s,sK21(X36),X36)) & get1(sK4,X36) = finite(sK20(X36))) | ~mem1(X36,vertices))) & edges = sK2) & ! [X45 : vertex] : ((infinite = get1(sK0,X45) & ! [X46 : vertex] : (! [X47 : list_vertex] : (~$less(length1(X47),sK1) | ~path(s,X47,X46)) | ~mem2(tuple22(X46,X45),empty2)) & ! [X48 : list_vertex] : (~$less(length1(X48),sK1) | ~path(s,X48,X45))) | (! [X50 : vertex,X51 : list_vertex] : (~$less($sum(path_weight(X51,X50),weight(X50,X45)),sK22(X45)) | ~mem2(tuple22(X50,X45),empty2) | ~$less(length1(X51),sK1) | ~path(s,X51,X50)) & ! [X52 : list_vertex] : (~$less(path_weight(X52,X45),sK22(X45)) | ~$less(length1(X52),sK1) | ~path(s,X52,X45)) & (path(s,sK23(X45),X45) & sK22(X45) = path_weight(sK23(X45),X45)) & get1(sK0,X45) = finite(sK22(X45))) | ~mem1(X45,vertices)) & ($less(1,sK1) | 1 = sK1) & ($less(sK1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = sK1)) & ($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1)))),
65.67/9.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23])],[f513,f532,f531,f530,f529,f528,f527,f526,f525,f524,f523,f522,f521,f520,f519,f518,f517,f516,f515,f514])).
65.67/9.77	tff(f514,plain,(
65.67/9.77	  ? [X0 : map_vertex_t19,X1 : $int] : (? [X2 : set_lpvertexcm_vertexrp] : (? [X3 : set_lpvertexcm_vertexrp,X4 : map_vertex_t19] : (? [X5 : bool] : (? [X6 : set_lpvertexcm_vertexrp,X7 : vertex,X8 : vertex] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X12 : vertex,X13 : list_vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),X1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),X1) | ~path(s,X16,X14)) & ! [X17 : vertex,X18 : list_vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,X3))) | ~$less(length1(X18),X1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),X1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),X1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,X3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,X1) | 1 = X1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),X1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,X3))) & ! [X26 : list_vertex] : (~$less(length1(X26),X1) | ~path(s,X26,X23)) & infinite = get1(X4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),X1) | ~path(s,X29,X23)) & ! [X30 : vertex,X31 : list_vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,X3)) | ~$less(length1(X31),X1) | ~path(s,X31,X30)) & get1(X4,X23) = finite(X27)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,X3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),X3) = X6 & mem2(tuple22(X7,X8),X3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,X3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,X3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,X3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,X3)) & ! [X36 : vertex] : ((infinite = get1(X4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),X1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,X3))) & ! [X39 : list_vertex] : (~$less(length1(X39),X1) | ~path(s,X39,X36))) | ? [X40 : $int] : (! [X41 : vertex,X42 : list_vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,X3)) | ~$less(length1(X42),X1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),X1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & get1(X4,X36) = finite(X40)) | ~mem1(X36,vertices))) & edges = X2) & ! [X45 : vertex] : ((infinite = get1(X0,X45) & ! [X46 : vertex] : (! [X47 : list_vertex] : (~$less(length1(X47),X1) | ~path(s,X47,X46)) | ~mem2(tuple22(X46,X45),empty2)) & ! [X48 : list_vertex] : (~$less(length1(X48),X1) | ~path(s,X48,X45))) | ? [X49 : $int] : (! [X50 : vertex,X51 : list_vertex] : (~$less($sum(path_weight(X51,X50),weight(X50,X45)),X49) | ~mem2(tuple22(X50,X45),empty2) | ~$less(length1(X51),X1) | ~path(s,X51,X50)) & ! [X52 : list_vertex] : (~$less(path_weight(X52,X45),X49) | ~$less(length1(X52),X1) | ~path(s,X52,X45)) & ? [X53 : list_vertex] : (path(s,X53,X45) & path_weight(X53,X45) = X49) & get1(X0,X45) = finite(X49)) | ~mem1(X45,vertices)) & ($less(1,X1) | 1 = X1) & ($less(X1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X1)) => (? [X2 : set_lpvertexcm_vertexrp] : (? [X4 : map_vertex_t19,X3 : set_lpvertexcm_vertexrp] : (? [X5 : bool] : (? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,X3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,X3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,X3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(X4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,X3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & get1(X4,X23) = finite(X27)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,X3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),X3) = X6 & mem2(tuple22(X7,X8),X3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,X3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,X3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,X3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,X3)) & ! [X36 : vertex] : ((infinite = get1(X4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,X3))) & ! [X39 : list_vertex] : (~$less(length1(X39),sK1) | ~path(s,X39,X36))) | ? [X40 : $int] : (! [X42 : list_vertex,X41 : vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,X3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & get1(X4,X36) = finite(X40)) | ~mem1(X36,vertices))) & edges = X2) & ! [X45 : vertex] : ((infinite = get1(sK0,X45) & ! [X46 : vertex] : (! [X47 : list_vertex] : (~$less(length1(X47),sK1) | ~path(s,X47,X46)) | ~mem2(tuple22(X46,X45),empty2)) & ! [X48 : list_vertex] : (~$less(length1(X48),sK1) | ~path(s,X48,X45))) | ? [X49 : $int] : (! [X51 : list_vertex,X50 : vertex] : (~$less($sum(path_weight(X51,X50),weight(X50,X45)),X49) | ~mem2(tuple22(X50,X45),empty2) | ~$less(length1(X51),sK1) | ~path(s,X51,X50)) & ! [X52 : list_vertex] : (~$less(path_weight(X52,X45),X49) | ~$less(length1(X52),sK1) | ~path(s,X52,X45)) & ? [X53 : list_vertex] : (path(s,X53,X45) & path_weight(X53,X45) = X49) & finite(X49) = get1(sK0,X45)) | ~mem1(X45,vertices)) & ($less(1,sK1) | 1 = sK1) & ($less(sK1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = sK1))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f515,plain,(
65.67/9.77	  ? [X2 : set_lpvertexcm_vertexrp] : (? [X4 : map_vertex_t19,X3 : set_lpvertexcm_vertexrp] : (? [X5 : bool] : (? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,X3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,X3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,X3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(X4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,X3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & get1(X4,X23) = finite(X27)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,X3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),X3) = X6 & mem2(tuple22(X7,X8),X3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,X3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,X3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,X3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,X3)) & ! [X36 : vertex] : ((infinite = get1(X4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,X3))) & ! [X39 : list_vertex] : (~$less(length1(X39),sK1) | ~path(s,X39,X36))) | ? [X40 : $int] : (! [X42 : list_vertex,X41 : vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,X3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & get1(X4,X36) = finite(X40)) | ~mem1(X36,vertices))) & edges = X2) => (? [X4 : map_vertex_t19,X3 : set_lpvertexcm_vertexrp] : (? [X5 : bool] : (? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,X3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,X3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,X3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(X4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,X3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & get1(X4,X23) = finite(X27)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,X3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),X3) = X6 & mem2(tuple22(X7,X8),X3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,X3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,X3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,X3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,X3)) & ! [X36 : vertex] : ((infinite = get1(X4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,X3))) & ! [X39 : list_vertex] : (~$less(length1(X39),sK1) | ~path(s,X39,X36))) | ? [X40 : $int] : (! [X42 : list_vertex,X41 : vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,X3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & get1(X4,X36) = finite(X40)) | ~mem1(X36,vertices))) & edges = sK2)),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f516,plain,(
65.67/9.77	  ? [X4 : map_vertex_t19,X3 : set_lpvertexcm_vertexrp] : (? [X5 : bool] : (? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,X3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,X3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,X3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(X4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,X3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & get1(X4,X23) = finite(X27)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,X3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),X3) = X6 & mem2(tuple22(X7,X8),X3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,X3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,X3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,X3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,X3)) & ! [X36 : vertex] : ((infinite = get1(X4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,X3))) & ! [X39 : list_vertex] : (~$less(length1(X39),sK1) | ~path(s,X39,X36))) | ? [X40 : $int] : (! [X42 : list_vertex,X41 : vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,X3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & get1(X4,X36) = finite(X40)) | ~mem1(X36,vertices))) => (? [X5 : bool] : (? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,sK3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,sK3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(sK4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & finite(X27) = get1(sK4,X23)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,sK3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),sK3) = X6 & mem2(tuple22(X7,X8),sK3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,sK3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,sK3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,sK3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,sK3)) & ! [X36 : vertex] : ((infinite = get1(sK4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,sK3))) & ! [X39 : list_vertex] : (~$less(length1(X39),sK1) | ~path(s,X39,X36))) | ? [X40 : $int] : (! [X42 : list_vertex,X41 : vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,sK3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & finite(X40) = get1(sK4,X36)) | ~mem1(X36,vertices)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f517,plain,(
65.67/9.77	  ? [X5 : bool] : (? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,sK3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,sK3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(sK4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & finite(X27) = get1(sK4,X23)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,sK3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),sK3) = X6 & mem2(tuple22(X7,X8),sK3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,sK3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,sK3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,sK3))) => (? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,sK3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,sK3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(sK4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & finite(X27) = get1(sK4,X23)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,sK3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),sK3) = X6 & mem2(tuple22(X7,X8),sK3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,sK3) & true != sK5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,sK3) | true != sK5) & (true = sK5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,sK3)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f518,plain,(
65.67/9.77	  ? [X8 : vertex,X7 : vertex,X6 : set_lpvertexcm_vertexrp] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,sK3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,sK3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(sK4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & finite(X27) = get1(sK4,X23)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,sK3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),sK3) = X6 & mem2(tuple22(X7,X8),sK3)) => (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,sK1) | 1 = sK1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,sK3))) & ! [X26 : list_vertex] : (~$less(length1(X26),sK1) | ~path(s,X26,X23)) & infinite = get1(sK4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & finite(X27) = get1(sK4,X23)) | ~mem1(X23,vertices)) & ~mem2(tuple22(sK7,sK8),diff2(edges,sK3)) & mem2(tuple22(sK7,sK8),edges) & sK6 = remove2(tuple22(sK7,sK8),sK3) & mem2(tuple22(sK7,sK8),sK3))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f519,plain,(
65.67/9.77	  ? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) => (? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(sK9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(sK9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),sK1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),sK1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3)))) & infinite = get1(sK9,X14)) | ~mem1(X14,vertices)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f520,plain,(
65.67/9.77	  ? [X10 : vertex] : (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(sK9,X10)) & mem1(X10,vertices)) => (? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,sK10)),X11) & mem2(tuple22(X12,sK10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(sK9,sK10)) & mem1(sK10,vertices))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f521,plain,(
65.67/9.77	  ? [X11 : $int] : (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,sK10)),X11) & mem2(tuple22(X12,sK10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & finite(X11) = get1(sK9,sK10)) => (? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,sK10)),sK11) & mem2(tuple22(X12,sK10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) & get1(sK9,sK10) = finite(sK11))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f522,plain,(
65.67/9.77	  ? [X13 : list_vertex,X12 : vertex] : ($less($sum(path_weight(X13,X12),weight(X12,sK10)),sK11) & mem2(tuple22(X12,sK10),diff2(edges,sK6)) & $less(length1(X13),sK1) & path(s,X13,X12)) => ($less($sum(path_weight(sK13,sK12),weight(sK12,sK10)),sK11) & mem2(tuple22(sK12,sK10),diff2(edges,sK6)) & $less(length1(sK13),sK1) & path(s,sK13,sK12))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f523,plain,(
65.67/9.77	  ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(sK9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) => (get1(sK9,X14) = finite(sK14(X14)) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),sK14(X14)) | ~$less(length1(X16),sK1) | ~path(s,X16,X14)) & ! [X18 : list_vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),sK14(X14)) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = sK14(X14) & path(s,X19,X14))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f524,plain,(
65.67/9.77	  ! [X14 : vertex] : (? [X19 : list_vertex] : (path_weight(X19,X14) = sK14(X14) & path(s,X19,X14)) => (sK14(X14) = path_weight(sK15(X14),X14) & path(s,sK15(X14),X14)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f525,plain,(
65.67/9.77	  ! [X23 : vertex] : (? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & finite(X27) = get1(sK4,X23)) => (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = sK16(X23)) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),sK16(X23)) | ~$less(length1(X29),sK1) | ~path(s,X29,X23)) & ! [X31 : list_vertex,X30 : vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),sK16(X23)) | ~mem2(tuple22(X30,X23),diff2(edges,sK3)) | ~$less(length1(X31),sK1) | ~path(s,X31,X30)) & get1(sK4,X23) = finite(sK16(X23))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f526,plain,(
65.67/9.77	  ! [X23 : vertex] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = sK16(X23)) => (path(s,sK17(X23),X23) & sK16(X23) = path_weight(sK17(X23),X23)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f527,plain,(
65.67/9.77	  ? [X32 : lpvertexcm_vertexrp] : mem2(X32,sK3) => mem2(sK18,sK3)),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f528,plain,(
65.67/9.77	  ? [X34 : lpvertexcm_vertexrp] : mem2(X34,sK3) => mem2(sK19,sK3)),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f529,plain,(
65.67/9.77	  ! [X36 : vertex] : (? [X40 : $int] : (! [X42 : list_vertex,X41 : vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,sK3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & finite(X40) = get1(sK4,X36)) => (! [X42 : list_vertex,X41 : vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),sK20(X36)) | ~mem2(tuple22(X41,X36),diff2(edges,sK3)) | ~$less(length1(X42),sK1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),sK20(X36)) | ~$less(length1(X43),sK1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = sK20(X36) & path(s,X44,X36)) & get1(sK4,X36) = finite(sK20(X36))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f530,plain,(
65.67/9.77	  ! [X36 : vertex] : (? [X44 : list_vertex] : (path_weight(X44,X36) = sK20(X36) & path(s,X44,X36)) => (sK20(X36) = path_weight(sK21(X36),X36) & path(s,sK21(X36),X36)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f531,plain,(
65.67/9.77	  ! [X45 : vertex] : (? [X49 : $int] : (! [X51 : list_vertex,X50 : vertex] : (~$less($sum(path_weight(X51,X50),weight(X50,X45)),X49) | ~mem2(tuple22(X50,X45),empty2) | ~$less(length1(X51),sK1) | ~path(s,X51,X50)) & ! [X52 : list_vertex] : (~$less(path_weight(X52,X45),X49) | ~$less(length1(X52),sK1) | ~path(s,X52,X45)) & ? [X53 : list_vertex] : (path(s,X53,X45) & path_weight(X53,X45) = X49) & finite(X49) = get1(sK0,X45)) => (! [X51 : list_vertex,X50 : vertex] : (~$less($sum(path_weight(X51,X50),weight(X50,X45)),sK22(X45)) | ~mem2(tuple22(X50,X45),empty2) | ~$less(length1(X51),sK1) | ~path(s,X51,X50)) & ! [X52 : list_vertex] : (~$less(path_weight(X52,X45),sK22(X45)) | ~$less(length1(X52),sK1) | ~path(s,X52,X45)) & ? [X53 : list_vertex] : (path(s,X53,X45) & path_weight(X53,X45) = sK22(X45)) & get1(sK0,X45) = finite(sK22(X45))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f532,plain,(
65.67/9.77	  ! [X45 : vertex] : (? [X53 : list_vertex] : (path(s,X53,X45) & path_weight(X53,X45) = sK22(X45)) => (path(s,sK23(X45),X45) & sK22(X45) = path_weight(sK23(X45),X45)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f513,plain,(
65.67/9.77	  ? [X0 : map_vertex_t19,X1 : $int] : (? [X2 : set_lpvertexcm_vertexrp] : (? [X3 : set_lpvertexcm_vertexrp,X4 : map_vertex_t19] : (? [X5 : bool] : (? [X6 : set_lpvertexcm_vertexrp,X7 : vertex,X8 : vertex] : (? [X9 : map_vertex_t19] : (? [X10 : vertex] : (? [X11 : $int] : (? [X12 : vertex,X13 : list_vertex] : ($less($sum(path_weight(X13,X12),weight(X12,X10)),X11) & mem2(tuple22(X12,X10),diff2(edges,X6)) & $less(length1(X13),X1) & path(s,X13,X12)) & finite(X11) = get1(X9,X10)) & mem1(X10,vertices)) & ! [X14 : vertex] : (? [X15 : $int] : (finite(X15) = get1(X9,X14) & ! [X16 : list_vertex] : (~$less(path_weight(X16,X14),X15) | ~$less(length1(X16),X1) | ~path(s,X16,X14)) & ! [X17 : vertex,X18 : list_vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),X15) | ~mem2(tuple22(X17,X14),add2(tuple22(X7,X8),diff2(edges,X3))) | ~$less(length1(X18),X1) | ~path(s,X18,X17)) & ? [X19 : list_vertex] : (path_weight(X19,X14) = X15 & path(s,X19,X14))) | (! [X20 : list_vertex] : (~$less(length1(X20),X1) | ~path(s,X20,X14)) & ! [X21 : vertex] : (! [X22 : list_vertex] : (~$less(length1(X22),X1) | ~path(s,X22,X21)) | ~mem2(tuple22(X21,X14),add2(tuple22(X7,X8),diff2(edges,X3)))) & infinite = get1(X9,X14)) | ~mem1(X14,vertices))) & ($less(1,X1) | 1 = X1) & ! [X23 : vertex] : ((! [X24 : vertex] : (! [X25 : list_vertex] : (~$less(length1(X25),X1) | ~path(s,X25,X24)) | ~mem2(tuple22(X24,X23),diff2(edges,X3))) & ! [X26 : list_vertex] : (~$less(length1(X26),X1) | ~path(s,X26,X23)) & infinite = get1(X4,X23)) | ? [X27 : $int] : (? [X28 : list_vertex] : (path(s,X28,X23) & path_weight(X28,X23) = X27) & ! [X29 : list_vertex] : (~$less(path_weight(X29,X23),X27) | ~$less(length1(X29),X1) | ~path(s,X29,X23)) & ! [X30 : vertex,X31 : list_vertex] : (~$less($sum(path_weight(X31,X30),weight(X30,X23)),X27) | ~mem2(tuple22(X30,X23),diff2(edges,X3)) | ~$less(length1(X31),X1) | ~path(s,X31,X30)) & get1(X4,X23) = finite(X27)) | ~mem1(X23,vertices)) & ~mem2(tuple22(X7,X8),diff2(edges,X3)) & mem2(tuple22(X7,X8),edges) & remove2(tuple22(X7,X8),X3) = X6 & mem2(tuple22(X7,X8),X3)) & ? [X32 : lpvertexcm_vertexrp] : mem2(X32,X3) & true != X5 & (! [X33 : lpvertexcm_vertexrp] : ~mem2(X33,X3) | true != X5) & (true = X5 | ? [X34 : lpvertexcm_vertexrp] : mem2(X34,X3))) & ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,X3)) & ! [X36 : vertex] : ((infinite = get1(X4,X36) & ! [X37 : vertex] : (! [X38 : list_vertex] : (~$less(length1(X38),X1) | ~path(s,X38,X37)) | ~mem2(tuple22(X37,X36),diff2(edges,X3))) & ! [X39 : list_vertex] : (~$less(length1(X39),X1) | ~path(s,X39,X36))) | ? [X40 : $int] : (! [X41 : vertex,X42 : list_vertex] : (~$less($sum(path_weight(X42,X41),weight(X41,X36)),X40) | ~mem2(tuple22(X41,X36),diff2(edges,X3)) | ~$less(length1(X42),X1) | ~path(s,X42,X41)) & ! [X43 : list_vertex] : (~$less(path_weight(X43,X36),X40) | ~$less(length1(X43),X1) | ~path(s,X43,X36)) & ? [X44 : list_vertex] : (path_weight(X44,X36) = X40 & path(s,X44,X36)) & get1(X4,X36) = finite(X40)) | ~mem1(X36,vertices))) & edges = X2) & ! [X45 : vertex] : ((infinite = get1(X0,X45) & ! [X46 : vertex] : (! [X47 : list_vertex] : (~$less(length1(X47),X1) | ~path(s,X47,X46)) | ~mem2(tuple22(X46,X45),empty2)) & ! [X48 : list_vertex] : (~$less(length1(X48),X1) | ~path(s,X48,X45))) | ? [X49 : $int] : (! [X50 : vertex,X51 : list_vertex] : (~$less($sum(path_weight(X51,X50),weight(X50,X45)),X49) | ~mem2(tuple22(X50,X45),empty2) | ~$less(length1(X51),X1) | ~path(s,X51,X50)) & ! [X52 : list_vertex] : (~$less(path_weight(X52,X45),X49) | ~$less(length1(X52),X1) | ~path(s,X52,X45)) & ? [X53 : list_vertex] : (path(s,X53,X45) & path_weight(X53,X45) = X49) & get1(X0,X45) = finite(X49)) | ~mem1(X45,vertices)) & ($less(1,X1) | 1 = X1) & ($less(X1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X1)) & ($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1)))),
65.67/9.77	  inference(rectify,[],[f512])).
65.67/9.77	tff(f512,plain,(
65.67/9.77	  ? [X0 : map_vertex_t19,X1 : $int] : (? [X11 : set_lpvertexcm_vertexrp] : (? [X12 : set_lpvertexcm_vertexrp,X13 : map_vertex_t19] : (? [X24 : bool] : (? [X27 : set_lpvertexcm_vertexrp,X28 : vertex,X29 : vertex] : (? [X39 : map_vertex_t19] : (? [X49 : vertex] : (? [X50 : $int] : (? [X51 : vertex,X52 : list_vertex] : ($less($sum(path_weight(X52,X51),weight(X51,X49)),X50) & mem2(tuple22(X51,X49),diff2(edges,X27)) & $less(length1(X52),X1) & path(s,X52,X51)) & finite(X50) = get1(X39,X49)) & mem1(X49,vertices)) & ! [X40 : vertex] : (? [X41 : $int] : (finite(X41) = get1(X39,X40) & ! [X42 : list_vertex] : (~$less(path_weight(X42,X40),X41) | ~$less(length1(X42),X1) | ~path(s,X42,X40)) & ! [X43 : vertex,X44 : list_vertex] : (~$less($sum(path_weight(X44,X43),weight(X43,X40)),X41) | ~mem2(tuple22(X43,X40),add2(tuple22(X28,X29),diff2(edges,X12))) | ~$less(length1(X44),X1) | ~path(s,X44,X43)) & ? [X45 : list_vertex] : (path_weight(X45,X40) = X41 & path(s,X45,X40))) | (! [X46 : list_vertex] : (~$less(length1(X46),X1) | ~path(s,X46,X40)) & ! [X47 : vertex] : (! [X48 : list_vertex] : (~$less(length1(X48),X1) | ~path(s,X48,X47)) | ~mem2(tuple22(X47,X40),add2(tuple22(X28,X29),diff2(edges,X12)))) & infinite = get1(X39,X40)) | ~mem1(X40,vertices))) & ($less(1,X1) | 1 = X1) & ! [X30 : vertex] : ((! [X31 : vertex] : (! [X32 : list_vertex] : (~$less(length1(X32),X1) | ~path(s,X32,X31)) | ~mem2(tuple22(X31,X30),diff2(edges,X12))) & ! [X33 : list_vertex] : (~$less(length1(X33),X1) | ~path(s,X33,X30)) & infinite = get1(X13,X30)) | ? [X34 : $int] : (? [X35 : list_vertex] : (path(s,X35,X30) & path_weight(X35,X30) = X34) & ! [X36 : list_vertex] : (~$less(path_weight(X36,X30),X34) | ~$less(length1(X36),X1) | ~path(s,X36,X30)) & ! [X37 : vertex,X38 : list_vertex] : (~$less($sum(path_weight(X38,X37),weight(X37,X30)),X34) | ~mem2(tuple22(X37,X30),diff2(edges,X12)) | ~$less(length1(X38),X1) | ~path(s,X38,X37)) & get1(X13,X30) = finite(X34)) | ~mem1(X30,vertices)) & ~mem2(tuple22(X28,X29),diff2(edges,X12)) & mem2(tuple22(X28,X29),edges) & remove2(tuple22(X28,X29),X12) = X27 & mem2(tuple22(X28,X29),X12)) & ? [X26 : lpvertexcm_vertexrp] : mem2(X26,X12) & true != X24 & (! [X25 : lpvertexcm_vertexrp] : ~mem2(X25,X12) | true != X24) & (true = X24 | ? [X25 : lpvertexcm_vertexrp] : mem2(X25,X12))) & ! [X14 : lpvertexcm_vertexrp] : (mem2(X14,edges) | ~mem2(X14,X12)) & ! [X15 : vertex] : ((infinite = get1(X13,X15) & ! [X16 : vertex] : (! [X17 : list_vertex] : (~$less(length1(X17),X1) | ~path(s,X17,X16)) | ~mem2(tuple22(X16,X15),diff2(edges,X12))) & ! [X18 : list_vertex] : (~$less(length1(X18),X1) | ~path(s,X18,X15))) | ? [X19 : $int] : (! [X20 : vertex,X21 : list_vertex] : (~$less($sum(path_weight(X21,X20),weight(X20,X15)),X19) | ~mem2(tuple22(X20,X15),diff2(edges,X12)) | ~$less(length1(X21),X1) | ~path(s,X21,X20)) & ! [X22 : list_vertex] : (~$less(path_weight(X22,X15),X19) | ~$less(length1(X22),X1) | ~path(s,X22,X15)) & ? [X23 : list_vertex] : (path_weight(X23,X15) = X19 & path(s,X23,X15)) & get1(X13,X15) = finite(X19)) | ~mem1(X15,vertices))) & edges = X11) & ! [X2 : vertex] : ((infinite = get1(X0,X2) & ! [X3 : vertex] : (! [X4 : list_vertex] : (~$less(length1(X4),X1) | ~path(s,X4,X3)) | ~mem2(tuple22(X3,X2),empty2)) & ! [X5 : list_vertex] : (~$less(length1(X5),X1) | ~path(s,X5,X2))) | ? [X6 : $int] : (! [X7 : vertex,X8 : list_vertex] : (~$less($sum(path_weight(X8,X7),weight(X7,X2)),X6) | ~mem2(tuple22(X7,X2),empty2) | ~$less(length1(X8),X1) | ~path(s,X8,X7)) & ! [X9 : list_vertex] : (~$less(path_weight(X9,X2),X6) | ~$less(length1(X9),X1) | ~path(s,X9,X2)) & ? [X10 : list_vertex] : (path(s,X10,X2) & path_weight(X10,X2) = X6) & get1(X0,X2) = finite(X6)) | ~mem1(X2,vertices)) & ($less(1,X1) | 1 = X1) & ($less(X1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X1)) & ($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1)))),
65.67/9.77	  inference(flattening,[],[f511])).
65.67/9.77	tff(f511,plain,(
65.67/9.77	  ? [X0 : map_vertex_t19,X1 : $int] : (? [X11 : set_lpvertexcm_vertexrp] : (? [X12 : set_lpvertexcm_vertexrp,X13 : map_vertex_t19] : (? [X24 : bool] : (? [X27 : set_lpvertexcm_vertexrp,X28 : vertex,X29 : vertex] : (? [X39 : map_vertex_t19] : (? [X49 : vertex] : (? [X50 : $int] : (? [X51 : vertex,X52 : list_vertex] : ($less($sum(path_weight(X52,X51),weight(X51,X49)),X50) & mem2(tuple22(X51,X49),diff2(edges,X27)) & $less(length1(X52),X1) & path(s,X52,X51)) & finite(X50) = get1(X39,X49)) & mem1(X49,vertices)) & ! [X40 : vertex] : (? [X41 : $int] : (finite(X41) = get1(X39,X40) & ! [X42 : list_vertex] : (~$less(path_weight(X42,X40),X41) | ~$less(length1(X42),X1) | ~path(s,X42,X40)) & ! [X43 : vertex,X44 : list_vertex] : (~$less($sum(path_weight(X44,X43),weight(X43,X40)),X41) | ~mem2(tuple22(X43,X40),add2(tuple22(X28,X29),diff2(edges,X12))) | ~$less(length1(X44),X1) | ~path(s,X44,X43)) & ? [X45 : list_vertex] : (path_weight(X45,X40) = X41 & path(s,X45,X40))) | (! [X46 : list_vertex] : (~$less(length1(X46),X1) | ~path(s,X46,X40)) & ! [X47 : vertex] : (! [X48 : list_vertex] : (~$less(length1(X48),X1) | ~path(s,X48,X47)) | ~mem2(tuple22(X47,X40),add2(tuple22(X28,X29),diff2(edges,X12)))) & infinite = get1(X39,X40)) | ~mem1(X40,vertices))) & ($less(1,X1) | 1 = X1) & ! [X30 : vertex] : ((! [X31 : vertex] : (! [X32 : list_vertex] : (~$less(length1(X32),X1) | ~path(s,X32,X31)) | ~mem2(tuple22(X31,X30),diff2(edges,X12))) & ! [X33 : list_vertex] : (~$less(length1(X33),X1) | ~path(s,X33,X30)) & infinite = get1(X13,X30)) | ? [X34 : $int] : (? [X35 : list_vertex] : (path(s,X35,X30) & path_weight(X35,X30) = X34) & ! [X36 : list_vertex] : (~$less(path_weight(X36,X30),X34) | ~$less(length1(X36),X1) | ~path(s,X36,X30)) & ! [X37 : vertex,X38 : list_vertex] : (~$less($sum(path_weight(X38,X37),weight(X37,X30)),X34) | ~mem2(tuple22(X37,X30),diff2(edges,X12)) | ~$less(length1(X38),X1) | ~path(s,X38,X37)) & get1(X13,X30) = finite(X34)) | ~mem1(X30,vertices)) & ~mem2(tuple22(X28,X29),diff2(edges,X12)) & mem2(tuple22(X28,X29),edges) & remove2(tuple22(X28,X29),X12) = X27 & mem2(tuple22(X28,X29),X12)) & ? [X26 : lpvertexcm_vertexrp] : mem2(X26,X12) & true != X24 & ((! [X25 : lpvertexcm_vertexrp] : ~mem2(X25,X12) | true != X24) & (true = X24 | ? [X25 : lpvertexcm_vertexrp] : mem2(X25,X12)))) & ! [X14 : lpvertexcm_vertexrp] : (mem2(X14,edges) | ~mem2(X14,X12)) & ! [X15 : vertex] : ((infinite = get1(X13,X15) & ! [X16 : vertex] : (! [X17 : list_vertex] : (~$less(length1(X17),X1) | ~path(s,X17,X16)) | ~mem2(tuple22(X16,X15),diff2(edges,X12))) & ! [X18 : list_vertex] : (~$less(length1(X18),X1) | ~path(s,X18,X15))) | ? [X19 : $int] : (! [X20 : vertex,X21 : list_vertex] : (~$less($sum(path_weight(X21,X20),weight(X20,X15)),X19) | ~mem2(tuple22(X20,X15),diff2(edges,X12)) | ~$less(length1(X21),X1) | ~path(s,X21,X20)) & ! [X22 : list_vertex] : (~$less(path_weight(X22,X15),X19) | ~$less(length1(X22),X1) | ~path(s,X22,X15)) & ? [X23 : list_vertex] : (path_weight(X23,X15) = X19 & path(s,X23,X15)) & get1(X13,X15) = finite(X19)) | ~mem1(X15,vertices))) & edges = X11) & ! [X2 : vertex] : ((infinite = get1(X0,X2) & ! [X3 : vertex] : (! [X4 : list_vertex] : (~$less(length1(X4),X1) | ~path(s,X4,X3)) | ~mem2(tuple22(X3,X2),empty2)) & ! [X5 : list_vertex] : (~$less(length1(X5),X1) | ~path(s,X5,X2))) | ? [X6 : $int] : (! [X7 : vertex,X8 : list_vertex] : (~$less($sum(path_weight(X8,X7),weight(X7,X2)),X6) | ~mem2(tuple22(X7,X2),empty2) | ~$less(length1(X8),X1) | ~path(s,X8,X7)) & ! [X9 : list_vertex] : (~$less(path_weight(X9,X2),X6) | ~$less(length1(X9),X1) | ~path(s,X9,X2)) & ? [X10 : list_vertex] : (path(s,X10,X2) & path_weight(X10,X2) = X6) & get1(X0,X2) = finite(X6)) | ~mem1(X2,vertices)) & ($less(1,X1) | 1 = X1) & ($less(X1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X1)) & ($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1)))),
65.67/9.77	  inference(nnf_transformation,[],[f404])).
65.67/9.77	tff(f404,plain,(
65.67/9.77	  ? [X0 : map_vertex_t19,X1 : $int] : (? [X11 : set_lpvertexcm_vertexrp] : (? [X12 : set_lpvertexcm_vertexrp,X13 : map_vertex_t19] : (? [X24 : bool] : (? [X27 : set_lpvertexcm_vertexrp,X28 : vertex,X29 : vertex] : (? [X39 : map_vertex_t19] : (? [X49 : vertex] : (? [X50 : $int] : (? [X51 : vertex,X52 : list_vertex] : ($less($sum(path_weight(X52,X51),weight(X51,X49)),X50) & mem2(tuple22(X51,X49),diff2(edges,X27)) & $less(length1(X52),X1) & path(s,X52,X51)) & finite(X50) = get1(X39,X49)) & mem1(X49,vertices)) & ! [X40 : vertex] : (? [X41 : $int] : (finite(X41) = get1(X39,X40) & ! [X42 : list_vertex] : (~$less(path_weight(X42,X40),X41) | ~$less(length1(X42),X1) | ~path(s,X42,X40)) & ! [X43 : vertex,X44 : list_vertex] : (~$less($sum(path_weight(X44,X43),weight(X43,X40)),X41) | ~mem2(tuple22(X43,X40),add2(tuple22(X28,X29),diff2(edges,X12))) | ~$less(length1(X44),X1) | ~path(s,X44,X43)) & ? [X45 : list_vertex] : (path_weight(X45,X40) = X41 & path(s,X45,X40))) | (! [X46 : list_vertex] : (~$less(length1(X46),X1) | ~path(s,X46,X40)) & ! [X47 : vertex] : (! [X48 : list_vertex] : (~$less(length1(X48),X1) | ~path(s,X48,X47)) | ~mem2(tuple22(X47,X40),add2(tuple22(X28,X29),diff2(edges,X12)))) & infinite = get1(X39,X40)) | ~mem1(X40,vertices))) & ($less(1,X1) | 1 = X1) & ! [X30 : vertex] : ((! [X31 : vertex] : (! [X32 : list_vertex] : (~$less(length1(X32),X1) | ~path(s,X32,X31)) | ~mem2(tuple22(X31,X30),diff2(edges,X12))) & ! [X33 : list_vertex] : (~$less(length1(X33),X1) | ~path(s,X33,X30)) & infinite = get1(X13,X30)) | ? [X34 : $int] : (? [X35 : list_vertex] : (path(s,X35,X30) & path_weight(X35,X30) = X34) & ! [X36 : list_vertex] : (~$less(path_weight(X36,X30),X34) | ~$less(length1(X36),X1) | ~path(s,X36,X30)) & ! [X37 : vertex,X38 : list_vertex] : (~$less($sum(path_weight(X38,X37),weight(X37,X30)),X34) | ~mem2(tuple22(X37,X30),diff2(edges,X12)) | ~$less(length1(X38),X1) | ~path(s,X38,X37)) & get1(X13,X30) = finite(X34)) | ~mem1(X30,vertices)) & ~mem2(tuple22(X28,X29),diff2(edges,X12)) & mem2(tuple22(X28,X29),edges) & remove2(tuple22(X28,X29),X12) = X27 & mem2(tuple22(X28,X29),X12)) & ? [X26 : lpvertexcm_vertexrp] : mem2(X26,X12) & true != X24 & (! [X25 : lpvertexcm_vertexrp] : ~mem2(X25,X12) <=> true = X24)) & ! [X14 : lpvertexcm_vertexrp] : (mem2(X14,edges) | ~mem2(X14,X12)) & ! [X15 : vertex] : ((infinite = get1(X13,X15) & ! [X16 : vertex] : (! [X17 : list_vertex] : (~$less(length1(X17),X1) | ~path(s,X17,X16)) | ~mem2(tuple22(X16,X15),diff2(edges,X12))) & ! [X18 : list_vertex] : (~$less(length1(X18),X1) | ~path(s,X18,X15))) | ? [X19 : $int] : (! [X20 : vertex,X21 : list_vertex] : (~$less($sum(path_weight(X21,X20),weight(X20,X15)),X19) | ~mem2(tuple22(X20,X15),diff2(edges,X12)) | ~$less(length1(X21),X1) | ~path(s,X21,X20)) & ! [X22 : list_vertex] : (~$less(path_weight(X22,X15),X19) | ~$less(length1(X22),X1) | ~path(s,X22,X15)) & ? [X23 : list_vertex] : (path_weight(X23,X15) = X19 & path(s,X23,X15)) & get1(X13,X15) = finite(X19)) | ~mem1(X15,vertices))) & edges = X11) & ! [X2 : vertex] : ((infinite = get1(X0,X2) & ! [X3 : vertex] : (! [X4 : list_vertex] : (~$less(length1(X4),X1) | ~path(s,X4,X3)) | ~mem2(tuple22(X3,X2),empty2)) & ! [X5 : list_vertex] : (~$less(length1(X5),X1) | ~path(s,X5,X2))) | ? [X6 : $int] : (! [X7 : vertex,X8 : list_vertex] : (~$less($sum(path_weight(X8,X7),weight(X7,X2)),X6) | ~mem2(tuple22(X7,X2),empty2) | ~$less(length1(X8),X1) | ~path(s,X8,X7)) & ! [X9 : list_vertex] : (~$less(path_weight(X9,X2),X6) | ~$less(length1(X9),X1) | ~path(s,X9,X2)) & ? [X10 : list_vertex] : (path(s,X10,X2) & path_weight(X10,X2) = X6) & get1(X0,X2) = finite(X6)) | ~mem1(X2,vertices)) & ($less(1,X1) | 1 = X1) & ($less(X1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X1)) & ($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1)))),
65.67/9.77	  inference(flattening,[],[f403])).
65.67/9.77	tff(f403,plain,(
65.67/9.77	  ? [X0 : map_vertex_t19,X1 : $int] : ((? [X11 : set_lpvertexcm_vertexrp] : (? [X12 : set_lpvertexcm_vertexrp,X13 : map_vertex_t19] : (? [X24 : bool] : (((? [X27 : set_lpvertexcm_vertexrp,X28 : vertex,X29 : vertex] : ((? [X39 : map_vertex_t19] : (? [X49 : vertex] : (? [X50 : $int] : (? [X51 : vertex,X52 : list_vertex] : ((($less($sum(path_weight(X52,X51),weight(X51,X49)),X50) & mem2(tuple22(X51,X49),diff2(edges,X27))) & $less(length1(X52),X1)) & path(s,X52,X51)) & finite(X50) = get1(X39,X49)) & mem1(X49,vertices)) & ! [X40 : vertex] : ((? [X41 : $int] : (finite(X41) = get1(X39,X40) & ! [X42 : list_vertex] : ((~$less(path_weight(X42,X40),X41) | ~$less(length1(X42),X1)) | ~path(s,X42,X40)) & ! [X43 : vertex,X44 : list_vertex] : (((~$less($sum(path_weight(X44,X43),weight(X43,X40)),X41) | ~mem2(tuple22(X43,X40),add2(tuple22(X28,X29),diff2(edges,X12)))) | ~$less(length1(X44),X1)) | ~path(s,X44,X43)) & ? [X45 : list_vertex] : (path_weight(X45,X40) = X41 & path(s,X45,X40))) | (! [X46 : list_vertex] : (~$less(length1(X46),X1) | ~path(s,X46,X40)) & ! [X47 : vertex] : (! [X48 : list_vertex] : (~$less(length1(X48),X1) | ~path(s,X48,X47)) | ~mem2(tuple22(X47,X40),add2(tuple22(X28,X29),diff2(edges,X12)))) & infinite = get1(X39,X40))) | ~mem1(X40,vertices))) & (($less(1,X1) | 1 = X1) & ! [X30 : vertex] : (((! [X31 : vertex] : (! [X32 : list_vertex] : (~$less(length1(X32),X1) | ~path(s,X32,X31)) | ~mem2(tuple22(X31,X30),diff2(edges,X12))) & ! [X33 : list_vertex] : (~$less(length1(X33),X1) | ~path(s,X33,X30)) & infinite = get1(X13,X30)) | ? [X34 : $int] : (? [X35 : list_vertex] : (path(s,X35,X30) & path_weight(X35,X30) = X34) & ! [X36 : list_vertex] : ((~$less(path_weight(X36,X30),X34) | ~$less(length1(X36),X1)) | ~path(s,X36,X30)) & ! [X37 : vertex,X38 : list_vertex] : (((~$less($sum(path_weight(X38,X37),weight(X37,X30)),X34) | ~mem2(tuple22(X37,X30),diff2(edges,X12))) | ~$less(length1(X38),X1)) | ~path(s,X38,X37)) & get1(X13,X30) = finite(X34))) | ~mem1(X30,vertices)) & ~mem2(tuple22(X28,X29),diff2(edges,X12)) & mem2(tuple22(X28,X29),edges))) & (remove2(tuple22(X28,X29),X12) = X27 & mem2(tuple22(X28,X29),X12))) & ? [X26 : lpvertexcm_vertexrp] : mem2(X26,X12)) & true != X24) & (! [X25 : lpvertexcm_vertexrp] : ~mem2(X25,X12) <=> true = X24)) & (! [X14 : lpvertexcm_vertexrp] : (mem2(X14,edges) | ~mem2(X14,X12)) & ! [X15 : vertex] : (((infinite = get1(X13,X15) & ! [X16 : vertex] : (! [X17 : list_vertex] : (~$less(length1(X17),X1) | ~path(s,X17,X16)) | ~mem2(tuple22(X16,X15),diff2(edges,X12))) & ! [X18 : list_vertex] : (~$less(length1(X18),X1) | ~path(s,X18,X15))) | ? [X19 : $int] : (! [X20 : vertex,X21 : list_vertex] : (((~$less($sum(path_weight(X21,X20),weight(X20,X15)),X19) | ~mem2(tuple22(X20,X15),diff2(edges,X12))) | ~$less(length1(X21),X1)) | ~path(s,X21,X20)) & ! [X22 : list_vertex] : ((~$less(path_weight(X22,X15),X19) | ~$less(length1(X22),X1)) | ~path(s,X22,X15)) & ? [X23 : list_vertex] : (path_weight(X23,X15) = X19 & path(s,X23,X15)) & get1(X13,X15) = finite(X19))) | ~mem1(X15,vertices)))) & edges = X11) & ! [X2 : vertex] : (((infinite = get1(X0,X2) & ! [X3 : vertex] : (! [X4 : list_vertex] : (~$less(length1(X4),X1) | ~path(s,X4,X3)) | ~mem2(tuple22(X3,X2),empty2)) & ! [X5 : list_vertex] : (~$less(length1(X5),X1) | ~path(s,X5,X2))) | ? [X6 : $int] : (! [X7 : vertex,X8 : list_vertex] : (((~$less($sum(path_weight(X8,X7),weight(X7,X2)),X6) | ~mem2(tuple22(X7,X2),empty2)) | ~$less(length1(X8),X1)) | ~path(s,X8,X7)) & ! [X9 : list_vertex] : ((~$less(path_weight(X9,X2),X6) | ~$less(length1(X9),X1)) | ~path(s,X9,X2)) & ? [X10 : list_vertex] : (path(s,X10,X2) & path_weight(X10,X2) = X6) & get1(X0,X2) = finite(X6))) | ~mem1(X2,vertices))) & (($less(1,X1) | 1 = X1) & ($less(X1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X1))) & ($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1)))),
65.67/9.77	  inference(ennf_transformation,[],[f212])).
65.67/9.77	tff(f212,plain,(
65.67/9.77	  ~(($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1))) => ! [X0 : map_vertex_t19,X1 : $int] : ((($less(1,X1) | 1 = X1) & ($less(X1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X1)) => (! [X2 : vertex] : (mem1(X2,vertices) => ((infinite = get1(X0,X2) & ! [X3 : vertex] : (mem2(tuple22(X3,X2),empty2) => ! [X4 : list_vertex] : (path(s,X4,X3) => ~$less(length1(X4),X1))) & ! [X5 : list_vertex] : (path(s,X5,X2) => ~$less(length1(X5),X1))) | ? [X6 : $int] : (! [X7 : vertex,X8 : list_vertex] : (path(s,X8,X7) => ($less(length1(X8),X1) => (mem2(tuple22(X7,X2),empty2) => ~$less($sum(path_weight(X8,X7),weight(X7,X2)),X6)))) & ! [X9 : list_vertex] : (path(s,X9,X2) => ($less(length1(X9),X1) => ~$less(path_weight(X9,X2),X6))) & ? [X10 : list_vertex] : (path(s,X10,X2) & path_weight(X10,X2) = X6) & get1(X0,X2) = finite(X6)))) => ! [X11 : set_lpvertexcm_vertexrp] : (edges = X11 => ! [X12 : set_lpvertexcm_vertexrp,X13 : map_vertex_t19] : ((! [X14 : lpvertexcm_vertexrp] : (mem2(X14,X12) => mem2(X14,edges)) & ! [X15 : vertex] : (mem1(X15,vertices) => ((infinite = get1(X13,X15) & ! [X16 : vertex] : (mem2(tuple22(X16,X15),diff2(edges,X12)) => ! [X17 : list_vertex] : (path(s,X17,X16) => ~$less(length1(X17),X1))) & ! [X18 : list_vertex] : (path(s,X18,X15) => ~$less(length1(X18),X1))) | ? [X19 : $int] : (! [X20 : vertex,X21 : list_vertex] : (path(s,X21,X20) => ($less(length1(X21),X1) => (mem2(tuple22(X20,X15),diff2(edges,X12)) => ~$less($sum(path_weight(X21,X20),weight(X20,X15)),X19)))) & ! [X22 : list_vertex] : (path(s,X22,X15) => ($less(length1(X22),X1) => ~$less(path_weight(X22,X15),X19))) & ? [X23 : list_vertex] : (path_weight(X23,X15) = X19 & path(s,X23,X15)) & get1(X13,X15) = finite(X19))))) => ! [X24 : bool] : ((! [X25 : lpvertexcm_vertexrp] : ~mem2(X25,X12) <=> true = X24) => (true != X24 => (~! [X26 : lpvertexcm_vertexrp] : ~mem2(X26,X12) => ! [X27 : set_lpvertexcm_vertexrp,X28 : vertex,X29 : vertex] : ((remove2(tuple22(X28,X29),X12) = X27 & mem2(tuple22(X28,X29),X12)) => ((($less(1,X1) | 1 = X1) & ! [X30 : vertex] : (mem1(X30,vertices) => ((! [X31 : vertex] : (mem2(tuple22(X31,X30),diff2(edges,X12)) => ! [X32 : list_vertex] : (path(s,X32,X31) => ~$less(length1(X32),X1))) & ! [X33 : list_vertex] : (path(s,X33,X30) => ~$less(length1(X33),X1)) & infinite = get1(X13,X30)) | ? [X34 : $int] : (? [X35 : list_vertex] : (path(s,X35,X30) & path_weight(X35,X30) = X34) & ! [X36 : list_vertex] : (path(s,X36,X30) => ($less(length1(X36),X1) => ~$less(path_weight(X36,X30),X34))) & ! [X37 : vertex,X38 : list_vertex] : (path(s,X38,X37) => ($less(length1(X38),X1) => (mem2(tuple22(X37,X30),diff2(edges,X12)) => ~$less($sum(path_weight(X38,X37),weight(X37,X30)),X34)))) & get1(X13,X30) = finite(X34)))) & ~mem2(tuple22(X28,X29),diff2(edges,X12)) & mem2(tuple22(X28,X29),edges)) => ! [X39 : map_vertex_t19] : (! [X40 : vertex] : (mem1(X40,vertices) => (? [X41 : $int] : (finite(X41) = get1(X39,X40) & ! [X42 : list_vertex] : (path(s,X42,X40) => ($less(length1(X42),X1) => ~$less(path_weight(X42,X40),X41))) & ! [X43 : vertex,X44 : list_vertex] : (path(s,X44,X43) => ($less(length1(X44),X1) => (mem2(tuple22(X43,X40),add2(tuple22(X28,X29),diff2(edges,X12))) => ~$less($sum(path_weight(X44,X43),weight(X43,X40)),X41)))) & ? [X45 : list_vertex] : (path_weight(X45,X40) = X41 & path(s,X45,X40))) | (! [X46 : list_vertex] : (path(s,X46,X40) => ~$less(length1(X46),X1)) & ! [X47 : vertex] : (mem2(tuple22(X47,X40),add2(tuple22(X28,X29),diff2(edges,X12))) => ! [X48 : list_vertex] : (path(s,X48,X47) => ~$less(length1(X48),X1))) & infinite = get1(X39,X40)))) => ! [X49 : vertex] : (mem1(X49,vertices) => ! [X50 : $int] : (finite(X50) = get1(X39,X49) => ! [X51 : vertex,X52 : list_vertex] : (path(s,X52,X51) => ($less(length1(X52),X1) => (mem2(tuple22(X51,X49),diff2(edges,X27)) => ~$less($sum(path_weight(X52,X51),weight(X51,X49)),X50)))))))))))))))))),
65.67/9.77	  inference(rectify,[],[f199])).
65.67/9.77	tff(f199,plain,(
65.67/9.77	  ~(($less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1))) => ! [X27 : map_vertex_t19,X0 : $int] : ((($less(1,X0) | 1 = X0) & ($less(X0,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = X0)) => (! [X31 : vertex] : (mem1(X31,vertices) => ((infinite = get1(X27,X31) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),empty2) => ! [X32 : list_vertex] : (path(s,X32,X15) => ~$less(length1(X32),X0))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ~$less(length1(X5),X0))) | ? [X1 : $int] : (! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),empty2) => ~$less($sum(path_weight(X5,X15),weight(X15,X31)),X1)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => ~$less(path_weight(X5,X31),X1))) & ? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & finite(X1) = get1(X27,X31)))) => ! [X28 : set_lpvertexcm_vertexrp] : (edges = X28 => ! [X29 : set_lpvertexcm_vertexrp,X30 : map_vertex_t19] : ((! [X1 : lpvertexcm_vertexrp] : (mem2(X1,X29) => mem2(X1,edges)) & ! [X31 : vertex] : (mem1(X31,vertices) => ((get1(X30,X31) = infinite & ! [X15 : vertex] : (mem2(tuple22(X15,X31),diff2(edges,X29)) => ! [X32 : list_vertex] : (path(s,X32,X15) => ~$less(length1(X32),X0))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ~$less(length1(X5),X0))) | ? [X1 : $int] : (! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X29)) => ~$less($sum(path_weight(X5,X15),weight(X15,X31)),X1)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => ~$less(path_weight(X5,X31),X1))) & ? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31)) & get1(X30,X31) = finite(X1))))) => ! [X33 : bool] : ((! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X29) <=> true = X33) => (true != X33 => (~! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X29) => ! [X34 : set_lpvertexcm_vertexrp,X35 : vertex,X36 : vertex] : ((remove2(tuple22(X35,X36),X29) = X34 & mem2(tuple22(X35,X36),X29)) => ((($less(1,X0) | 1 = X0) & ! [X31 : vertex] : (mem1(X31,vertices) => ((! [X15 : vertex] : (mem2(tuple22(X15,X31),diff2(edges,X29)) => ! [X32 : list_vertex] : (path(s,X32,X15) => ~$less(length1(X32),X0))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ~$less(length1(X5),X0)) & get1(X30,X31) = infinite) | ? [X1 : $int] : (? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => ~$less(path_weight(X5,X31),X1))) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X29)) => ~$less($sum(path_weight(X5,X15),weight(X15,X31)),X1)))) & get1(X30,X31) = finite(X1)))) & ~mem2(tuple22(X35,X36),diff2(edges,X29)) & mem2(tuple22(X35,X36),edges)) => ! [X37 : map_vertex_t19] : (! [X31 : vertex] : (mem1(X31,vertices) => (? [X1 : $int] : (finite(X1) = get1(X37,X31) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => ~$less(path_weight(X5,X31),X1))) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),add2(tuple22(X35,X36),diff2(edges,X29))) => ~$less($sum(path_weight(X5,X15),weight(X15,X31)),X1)))) & ? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31))) | (! [X5 : list_vertex] : (path(s,X5,X31) => ~$less(length1(X5),X0)) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),add2(tuple22(X35,X36),diff2(edges,X29))) => ! [X32 : list_vertex] : (path(s,X32,X15) => ~$less(length1(X32),X0))) & infinite = get1(X37,X31)))) => ! [X31 : vertex] : (mem1(X31,vertices) => ! [X1 : $int] : (finite(X1) = get1(X37,X31) => ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X34)) => ~$less($sum(path_weight(X5,X15),weight(X15,X31)),X1)))))))))))))))))),
65.67/9.77	  inference(theory_normalization,[],[f43])).
65.67/9.77	tff(f43,negated_conjecture,(
65.67/9.77	  ~(($less(1,$difference(cardinal1(vertices),1)) | 1 = $difference(cardinal1(vertices),1)) => ! [X27 : map_vertex_t19,X0 : $int] : ((($less(1,X0) | 1 = X0) & ($less(X0,$difference(cardinal1(vertices),1)) | $difference(cardinal1(vertices),1) = X0)) => (! [X31 : vertex] : (mem1(X31,vertices) => ((infinite = get1(X27,X31) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),empty2) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5)))) | ? [X1 : $int] : (! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),empty2) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & finite(X1) = get1(X27,X31)))) => ! [X28 : set_lpvertexcm_vertexrp] : (edges = X28 => ! [X29 : set_lpvertexcm_vertexrp,X30 : map_vertex_t19] : ((! [X1 : lpvertexcm_vertexrp] : (mem2(X1,X29) => mem2(X1,edges)) & ! [X31 : vertex] : (mem1(X31,vertices) => ((get1(X30,X31) = infinite & ! [X15 : vertex] : (mem2(tuple22(X15,X31),diff2(edges,X29)) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5)))) | ? [X1 : $int] : (! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X29)) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31)) & get1(X30,X31) = finite(X1))))) => ! [X33 : bool] : ((! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X29) <=> true = X33) => (true != X33 => (~! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X29) => ! [X34 : set_lpvertexcm_vertexrp,X35 : vertex,X36 : vertex] : ((remove2(tuple22(X35,X36),X29) = X34 & mem2(tuple22(X35,X36),X29)) => ((($less(1,X0) | 1 = X0) & ! [X31 : vertex] : (mem1(X31,vertices) => ((! [X15 : vertex] : (mem2(tuple22(X15,X31),diff2(edges,X29)) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5))) & get1(X30,X31) = infinite) | ? [X1 : $int] : (? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X29)) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & get1(X30,X31) = finite(X1)))) & ~mem2(tuple22(X35,X36),diff2(edges,X29)) & mem2(tuple22(X35,X36),edges)) => ! [X37 : map_vertex_t19] : (! [X31 : vertex] : (mem1(X31,vertices) => (? [X1 : $int] : (finite(X1) = get1(X37,X31) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),add2(tuple22(X35,X36),diff2(edges,X29))) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31))) | (! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5))) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),add2(tuple22(X35,X36),diff2(edges,X29))) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & infinite = get1(X37,X31)))) => ! [X31 : vertex] : (mem1(X31,vertices) => ! [X1 : $int] : (finite(X1) = get1(X37,X31) => ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X34)) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))))))))))))))))),
65.67/9.77	  inference(negated_conjecture,[],[f42])).
65.67/9.77	tff(f42,conjecture,(
65.67/9.77	  ($less(1,$difference(cardinal1(vertices),1)) | 1 = $difference(cardinal1(vertices),1)) => ! [X27 : map_vertex_t19,X0 : $int] : ((($less(1,X0) | 1 = X0) & ($less(X0,$difference(cardinal1(vertices),1)) | $difference(cardinal1(vertices),1) = X0)) => (! [X31 : vertex] : (mem1(X31,vertices) => ((infinite = get1(X27,X31) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),empty2) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5)))) | ? [X1 : $int] : (! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),empty2) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & finite(X1) = get1(X27,X31)))) => ! [X28 : set_lpvertexcm_vertexrp] : (edges = X28 => ! [X29 : set_lpvertexcm_vertexrp,X30 : map_vertex_t19] : ((! [X1 : lpvertexcm_vertexrp] : (mem2(X1,X29) => mem2(X1,edges)) & ! [X31 : vertex] : (mem1(X31,vertices) => ((get1(X30,X31) = infinite & ! [X15 : vertex] : (mem2(tuple22(X15,X31),diff2(edges,X29)) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5)))) | ? [X1 : $int] : (! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X29)) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31)) & get1(X30,X31) = finite(X1))))) => ! [X33 : bool] : ((! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X29) <=> true = X33) => (true != X33 => (~! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X29) => ! [X34 : set_lpvertexcm_vertexrp,X35 : vertex,X36 : vertex] : ((remove2(tuple22(X35,X36),X29) = X34 & mem2(tuple22(X35,X36),X29)) => ((($less(1,X0) | 1 = X0) & ! [X31 : vertex] : (mem1(X31,vertices) => ((! [X15 : vertex] : (mem2(tuple22(X15,X31),diff2(edges,X29)) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5))) & get1(X30,X31) = infinite) | ? [X1 : $int] : (? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X29)) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & get1(X30,X31) = finite(X1)))) & ~mem2(tuple22(X35,X36),diff2(edges,X29)) & mem2(tuple22(X35,X36),edges)) => ! [X37 : map_vertex_t19] : (! [X31 : vertex] : (mem1(X31,vertices) => (? [X1 : $int] : (finite(X1) = get1(X37,X31) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X0) => $lesseq(X1,path_weight(X5,X31)))) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),add2(tuple22(X35,X36),diff2(edges,X29))) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31))) | (! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X0,length1(X5))) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),add2(tuple22(X35,X36),diff2(edges,X29))) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X0,length1(X32)))) & infinite = get1(X37,X31)))) => ! [X31 : vertex] : (mem1(X31,vertices) => ! [X1 : $int] : (finite(X1) = get1(X37,X31) => ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X0) => (mem2(tuple22(X15,X31),diff2(edges,X34)) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31))))))))))))))))))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_bellman_ford)).
65.67/9.77	tff(f946,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X0 : map_vertex_t19,X1 : $int,X12 : vertex,X13 : $int] : (finite(X13) != get1(X0,X12) | path(s,sK81(X12,X13),X12) | ~mem1(X12,vertices) | ~inv1(X0,X1,X2)) )),
65.67/9.77	  inference(cnf_transformation,[],[f622])).
65.67/9.77	tff(f622,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : ((inv1(X0,X1,X2) | ((infinite != get1(X0,sK74(X0,X1,X2)) | ($less(length1(sK75(X0,X1,X2)),X1) & path(s,sK75(X0,X1,X2),sK74(X0,X1,X2))) | (($less(length1(sK77(X0,X1,X2)),X1) & path(s,sK77(X0,X1,X2),sK76(X0,X1,X2))) & mem2(tuple22(sK76(X0,X1,X2),sK74(X0,X1,X2)),X2))) & ! [X7 : $int] : (! [X8 : list_vertex] : (~path(s,X8,sK74(X0,X1,X2)) | path_weight(X8,sK74(X0,X1,X2)) != X7) | ($less($sum(path_weight(sK79(X0,X1,X2,X7),sK78(X0,X1,X2,X7)),weight(sK78(X0,X1,X2,X7),sK74(X0,X1,X2))),X7) & mem2(tuple22(sK78(X0,X1,X2,X7),sK74(X0,X1,X2)),X2) & $less(length1(sK79(X0,X1,X2,X7)),X1) & path(s,sK79(X0,X1,X2,X7),sK78(X0,X1,X2,X7))) | ($less(path_weight(sK80(X0,X1,X2,X7),sK74(X0,X1,X2)),X7) & $less(length1(sK80(X0,X1,X2,X7)),X1) & path(s,sK80(X0,X1,X2,X7),sK74(X0,X1,X2))) | finite(X7) != get1(X0,sK74(X0,X1,X2))) & mem1(sK74(X0,X1,X2),vertices))) & (! [X12 : vertex] : ((! [X13 : $int] : (((path_weight(sK81(X12,X13),X12) = X13 & path(s,sK81(X12,X13),X12)) & ! [X15 : vertex,X16 : list_vertex] : (~$less($sum(path_weight(X16,X15),weight(X15,X12)),X13) | ~mem2(tuple22(X15,X12),X2) | ~$less(length1(X16),X1) | ~path(s,X16,X15)) & ! [X17 : list_vertex] : (~$less(path_weight(X17,X12),X13) | ~$less(length1(X17),X1) | ~path(s,X17,X12))) | finite(X13) != get1(X0,X12)) & ((! [X18 : list_vertex] : (~$less(length1(X18),X1) | ~path(s,X18,X12)) & ! [X19 : vertex] : (! [X20 : list_vertex] : (~$less(length1(X20),X1) | ~path(s,X20,X19)) | ~mem2(tuple22(X19,X12),X2))) | infinite != get1(X0,X12))) | ~mem1(X12,vertices)) | ~inv1(X0,X1,X2)))),
65.67/9.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81])],[f459,f621,f620,f619,f618,f617,f616,f615])).
65.67/9.77	tff(f615,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : (? [X3 : vertex] : ((infinite != get1(X0,X3) | ? [X4 : list_vertex] : ($less(length1(X4),X1) & path(s,X4,X3)) | ? [X5 : vertex] : (? [X6 : list_vertex] : ($less(length1(X6),X1) & path(s,X6,X5)) & mem2(tuple22(X5,X3),X2))) & ! [X7 : $int] : (! [X8 : list_vertex] : (~path(s,X8,X3) | path_weight(X8,X3) != X7) | ? [X9 : vertex,X10 : list_vertex] : ($less($sum(path_weight(X10,X9),weight(X9,X3)),X7) & mem2(tuple22(X9,X3),X2) & $less(length1(X10),X1) & path(s,X10,X9)) | ? [X11 : list_vertex] : ($less(path_weight(X11,X3),X7) & $less(length1(X11),X1) & path(s,X11,X3)) | get1(X0,X3) != finite(X7)) & mem1(X3,vertices)) => ((infinite != get1(X0,sK74(X0,X1,X2)) | ? [X4 : list_vertex] : ($less(length1(X4),X1) & path(s,X4,sK74(X0,X1,X2))) | ? [X5 : vertex] : (? [X6 : list_vertex] : ($less(length1(X6),X1) & path(s,X6,X5)) & mem2(tuple22(X5,sK74(X0,X1,X2)),X2))) & ! [X7 : $int] : (! [X8 : list_vertex] : (~path(s,X8,sK74(X0,X1,X2)) | path_weight(X8,sK74(X0,X1,X2)) != X7) | ? [X10 : list_vertex,X9 : vertex] : ($less($sum(path_weight(X10,X9),weight(X9,sK74(X0,X1,X2))),X7) & mem2(tuple22(X9,sK74(X0,X1,X2)),X2) & $less(length1(X10),X1) & path(s,X10,X9)) | ? [X11 : list_vertex] : ($less(path_weight(X11,sK74(X0,X1,X2)),X7) & $less(length1(X11),X1) & path(s,X11,sK74(X0,X1,X2))) | finite(X7) != get1(X0,sK74(X0,X1,X2))) & mem1(sK74(X0,X1,X2),vertices)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f616,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : (? [X4 : list_vertex] : ($less(length1(X4),X1) & path(s,X4,sK74(X0,X1,X2))) => ($less(length1(sK75(X0,X1,X2)),X1) & path(s,sK75(X0,X1,X2),sK74(X0,X1,X2))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f617,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : (? [X5 : vertex] : (? [X6 : list_vertex] : ($less(length1(X6),X1) & path(s,X6,X5)) & mem2(tuple22(X5,sK74(X0,X1,X2)),X2)) => (? [X6 : list_vertex] : ($less(length1(X6),X1) & path(s,X6,sK76(X0,X1,X2))) & mem2(tuple22(sK76(X0,X1,X2),sK74(X0,X1,X2)),X2)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f618,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : (? [X6 : list_vertex] : ($less(length1(X6),X1) & path(s,X6,sK76(X0,X1,X2))) => ($less(length1(sK77(X0,X1,X2)),X1) & path(s,sK77(X0,X1,X2),sK76(X0,X1,X2))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f619,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp,X7 : $int] : (? [X10 : list_vertex,X9 : vertex] : ($less($sum(path_weight(X10,X9),weight(X9,sK74(X0,X1,X2))),X7) & mem2(tuple22(X9,sK74(X0,X1,X2)),X2) & $less(length1(X10),X1) & path(s,X10,X9)) => ($less($sum(path_weight(sK79(X0,X1,X2,X7),sK78(X0,X1,X2,X7)),weight(sK78(X0,X1,X2,X7),sK74(X0,X1,X2))),X7) & mem2(tuple22(sK78(X0,X1,X2,X7),sK74(X0,X1,X2)),X2) & $less(length1(sK79(X0,X1,X2,X7)),X1) & path(s,sK79(X0,X1,X2,X7),sK78(X0,X1,X2,X7))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f620,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp,X7 : $int] : (? [X11 : list_vertex] : ($less(path_weight(X11,sK74(X0,X1,X2)),X7) & $less(length1(X11),X1) & path(s,X11,sK74(X0,X1,X2))) => ($less(path_weight(sK80(X0,X1,X2,X7),sK74(X0,X1,X2)),X7) & $less(length1(sK80(X0,X1,X2,X7)),X1) & path(s,sK80(X0,X1,X2,X7),sK74(X0,X1,X2))))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f621,plain,(
65.67/9.77	  ! [X12 : vertex,X13 : $int] : (? [X14 : list_vertex] : (path_weight(X14,X12) = X13 & path(s,X14,X12)) => (path_weight(sK81(X12,X13),X12) = X13 & path(s,sK81(X12,X13),X12)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f459,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : ((inv1(X0,X1,X2) | ? [X3 : vertex] : ((infinite != get1(X0,X3) | ? [X4 : list_vertex] : ($less(length1(X4),X1) & path(s,X4,X3)) | ? [X5 : vertex] : (? [X6 : list_vertex] : ($less(length1(X6),X1) & path(s,X6,X5)) & mem2(tuple22(X5,X3),X2))) & ! [X7 : $int] : (! [X8 : list_vertex] : (~path(s,X8,X3) | path_weight(X8,X3) != X7) | ? [X9 : vertex,X10 : list_vertex] : ($less($sum(path_weight(X10,X9),weight(X9,X3)),X7) & mem2(tuple22(X9,X3),X2) & $less(length1(X10),X1) & path(s,X10,X9)) | ? [X11 : list_vertex] : ($less(path_weight(X11,X3),X7) & $less(length1(X11),X1) & path(s,X11,X3)) | get1(X0,X3) != finite(X7)) & mem1(X3,vertices))) & (! [X12 : vertex] : ((! [X13 : $int] : ((? [X14 : list_vertex] : (path_weight(X14,X12) = X13 & path(s,X14,X12)) & ! [X15 : vertex,X16 : list_vertex] : (~$less($sum(path_weight(X16,X15),weight(X15,X12)),X13) | ~mem2(tuple22(X15,X12),X2) | ~$less(length1(X16),X1) | ~path(s,X16,X15)) & ! [X17 : list_vertex] : (~$less(path_weight(X17,X12),X13) | ~$less(length1(X17),X1) | ~path(s,X17,X12))) | finite(X13) != get1(X0,X12)) & ((! [X18 : list_vertex] : (~$less(length1(X18),X1) | ~path(s,X18,X12)) & ! [X19 : vertex] : (! [X20 : list_vertex] : (~$less(length1(X20),X1) | ~path(s,X20,X19)) | ~mem2(tuple22(X19,X12),X2))) | infinite != get1(X0,X12))) | ~mem1(X12,vertices)) | ~inv1(X0,X1,X2)))),
65.67/9.77	  inference(flattening,[],[f458])).
65.67/9.77	tff(f458,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : ((inv1(X0,X1,X2) | ? [X3 : vertex] : (((infinite != get1(X0,X3) | ? [X4 : list_vertex] : ($less(length1(X4),X1) & path(s,X4,X3)) | ? [X5 : vertex] : (? [X6 : list_vertex] : ($less(length1(X6),X1) & path(s,X6,X5)) & mem2(tuple22(X5,X3),X2))) & ! [X7 : $int] : (! [X8 : list_vertex] : (~path(s,X8,X3) | path_weight(X8,X3) != X7) | ? [X9 : vertex,X10 : list_vertex] : ((($less($sum(path_weight(X10,X9),weight(X9,X3)),X7) & mem2(tuple22(X9,X3),X2)) & $less(length1(X10),X1)) & path(s,X10,X9)) | ? [X11 : list_vertex] : (($less(path_weight(X11,X3),X7) & $less(length1(X11),X1)) & path(s,X11,X3)) | get1(X0,X3) != finite(X7))) & mem1(X3,vertices))) & (! [X12 : vertex] : ((! [X13 : $int] : ((? [X14 : list_vertex] : (path_weight(X14,X12) = X13 & path(s,X14,X12)) & ! [X15 : vertex,X16 : list_vertex] : (((~$less($sum(path_weight(X16,X15),weight(X15,X12)),X13) | ~mem2(tuple22(X15,X12),X2)) | ~$less(length1(X16),X1)) | ~path(s,X16,X15)) & ! [X17 : list_vertex] : ((~$less(path_weight(X17,X12),X13) | ~$less(length1(X17),X1)) | ~path(s,X17,X12))) | finite(X13) != get1(X0,X12)) & ((! [X18 : list_vertex] : (~$less(length1(X18),X1) | ~path(s,X18,X12)) & ! [X19 : vertex] : (! [X20 : list_vertex] : (~$less(length1(X20),X1) | ~path(s,X20,X19)) | ~mem2(tuple22(X19,X12),X2))) | infinite != get1(X0,X12))) | ~mem1(X12,vertices)) | ~inv1(X0,X1,X2)))),
65.67/9.77	  inference(ennf_transformation,[],[f344])).
65.67/9.77	tff(f344,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : $int,X2 : set_lpvertexcm_vertexrp] : ((! [X3 : vertex] : (mem1(X3,vertices) => ((infinite = get1(X0,X3) & ! [X4 : list_vertex] : (path(s,X4,X3) => ~$less(length1(X4),X1)) & ! [X5 : vertex] : (mem2(tuple22(X5,X3),X2) => ! [X6 : list_vertex] : (path(s,X6,X5) => ~$less(length1(X6),X1)))) | ? [X7 : $int] : (? [X8 : list_vertex] : (path(s,X8,X3) & path_weight(X8,X3) = X7) & ! [X9 : vertex,X10 : list_vertex] : (path(s,X10,X9) => ($less(length1(X10),X1) => (mem2(tuple22(X9,X3),X2) => ~$less($sum(path_weight(X10,X9),weight(X9,X3)),X7)))) & ! [X11 : list_vertex] : (path(s,X11,X3) => ($less(length1(X11),X1) => ~$less(path_weight(X11,X3),X7))) & get1(X0,X3) = finite(X7)))) => inv1(X0,X1,X2)) & (inv1(X0,X1,X2) => ! [X12 : vertex] : (mem1(X12,vertices) => (! [X13 : $int] : (finite(X13) = get1(X0,X12) => (? [X14 : list_vertex] : (path_weight(X14,X12) = X13 & path(s,X14,X12)) & ! [X15 : vertex,X16 : list_vertex] : (path(s,X16,X15) => ($less(length1(X16),X1) => (mem2(tuple22(X15,X12),X2) => ~$less($sum(path_weight(X16,X15),weight(X15,X12)),X13)))) & ! [X17 : list_vertex] : (path(s,X17,X12) => ($less(length1(X17),X1) => ~$less(path_weight(X17,X12),X13))))) & (infinite = get1(X0,X12) => (! [X18 : list_vertex] : (path(s,X18,X12) => ~$less(length1(X18),X1)) & ! [X19 : vertex] : (mem2(tuple22(X19,X12),X2) => ! [X20 : list_vertex] : (path(s,X20,X19) => ~$less(length1(X20),X1)))))))))),
65.67/9.77	  inference(rectify,[],[f209])).
65.67/9.77	tff(f209,plain,(
65.67/9.77	  ! [X27 : map_vertex_t19,X46 : $int,X45 : set_lpvertexcm_vertexrp] : ((! [X31 : vertex] : (mem1(X31,vertices) => ((infinite = get1(X27,X31) & ! [X5 : list_vertex] : (path(s,X5,X31) => ~$less(length1(X5),X46)) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),X45) => ! [X32 : list_vertex] : (path(s,X32,X15) => ~$less(length1(X32),X46)))) | ? [X1 : $int] : (? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X46) => (mem2(tuple22(X15,X31),X45) => ~$less($sum(path_weight(X5,X15),weight(X15,X31)),X1)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X46) => ~$less(path_weight(X5,X31),X1))) & finite(X1) = get1(X27,X31)))) => inv1(X27,X46,X45)) & (inv1(X27,X46,X45) => ! [X31 : vertex] : (mem1(X31,vertices) => (! [X1 : $int] : (finite(X1) = get1(X27,X31) => (? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31)) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X46) => (mem2(tuple22(X15,X31),X45) => ~$less($sum(path_weight(X5,X15),weight(X15,X31)),X1)))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X46) => ~$less(path_weight(X5,X31),X1))))) & (infinite = get1(X27,X31) => (! [X5 : list_vertex] : (path(s,X5,X31) => ~$less(length1(X5),X46)) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),X45) => ! [X32 : list_vertex] : (path(s,X32,X15) => ~$less(length1(X32),X46)))))))))),
65.67/9.77	  inference(theory_normalization,[],[f161])).
65.67/9.77	tff(f161,axiom,(
65.67/9.77	  ! [X27 : map_vertex_t19,X46 : $int,X45 : set_lpvertexcm_vertexrp] : ((! [X31 : vertex] : (mem1(X31,vertices) => ((infinite = get1(X27,X31) & ! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X46,length1(X5))) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),X45) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X46,length1(X32))))) | ? [X1 : $int] : (? [X5 : list_vertex] : (path(s,X5,X31) & path_weight(X5,X31) = X1) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X46) => (mem2(tuple22(X15,X31),X45) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X46) => $lesseq(X1,path_weight(X5,X31)))) & finite(X1) = get1(X27,X31)))) => inv1(X27,X46,X45)) & (inv1(X27,X46,X45) => ! [X31 : vertex] : (mem1(X31,vertices) => (! [X1 : $int] : (finite(X1) = get1(X27,X31) => (? [X5 : list_vertex] : (path_weight(X5,X31) = X1 & path(s,X5,X31)) & ! [X15 : vertex,X5 : list_vertex] : (path(s,X5,X15) => ($less(length1(X5),X46) => (mem2(tuple22(X15,X31),X45) => $lesseq(X1,$sum(path_weight(X5,X15),weight(X15,X31)))))) & ! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),X46) => $lesseq(X1,path_weight(X5,X31)))))) & (infinite = get1(X27,X31) => (! [X5 : list_vertex] : (path(s,X5,X31) => $lesseq(X46,length1(X5))) & ! [X15 : vertex] : (mem2(tuple22(X15,X31),X45) => ! [X32 : list_vertex] : (path(s,X32,X15) => $lesseq(X46,length1(X32))))))))))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inv1_def)).
65.67/9.77	tff(f9926,plain,(
65.67/9.77	  spl108_239 | spl108_240),
65.67/9.77	  inference(avatar_split_clause,[],[f2919,f9924,f9921])).
65.67/9.77	tff(f9921,plain,(
65.67/9.77	  spl108_239 <=> ! [X43 : set_lpvertexcm_vertexrp,X42 : $int] : ~inv1(sK4,X42,X43)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_239])])).
65.67/9.77	tff(f9924,plain,(
65.67/9.77	  spl108_240 <=> ! [X41 : $int,X40 : vertex] : (finite(X41) != finite(sK20(X40)) | infinite = get1(sK4,X40) | ~mem1(X40,vertices) | path(s,sK81(X40,X41),X40))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_240])])).
65.67/9.77	tff(f2919,plain,(
65.67/9.77	  ( ! [X40 : vertex,X41 : $int,X42 : $int,X43 : set_lpvertexcm_vertexrp] : (finite(X41) != finite(sK20(X40)) | path(s,sK81(X40,X41),X40) | ~mem1(X40,vertices) | ~inv1(sK4,X42,X43) | infinite = get1(sK4,X40)) )),
65.67/9.77	  inference(duplicate_literal_removal,[],[f2910])).
65.67/9.77	tff(f2910,plain,(
65.67/9.77	  ( ! [X40 : vertex,X41 : $int,X42 : $int,X43 : set_lpvertexcm_vertexrp] : (finite(X41) != finite(sK20(X40)) | path(s,sK81(X40,X41),X40) | ~mem1(X40,vertices) | ~inv1(sK4,X42,X43) | infinite = get1(sK4,X40) | ~mem1(X40,vertices)) )),
65.67/9.77	  inference(superposition,[],[f946,f697])).
65.67/9.77	tff(f697,plain,(
65.67/9.77	  ( ! [X36 : vertex] : (get1(sK4,X36) = finite(sK20(X36)) | infinite = get1(sK4,X36) | ~mem1(X36,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f9919,plain,(
65.67/9.77	  ~spl108_238 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9882,f1342,f9916])).
65.67/9.77	tff(f9916,plain,(
65.67/9.77	  spl108_238 <=> $less($sum(49,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_238])])).
65.67/9.77	tff(f9882,plain,(
65.67/9.77	  ~$less($sum(49,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9595,f1344])).
65.67/9.77	tff(f9825,plain,(
65.67/9.77	  ~spl108_236 | spl108_237 | ~spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f9704,f1457,f9823,f9819])).
65.67/9.77	tff(f9819,plain,(
65.67/9.77	  spl108_236 <=> empty2 = sK2),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_236])])).
65.67/9.77	tff(f9823,plain,(
65.67/9.77	  spl108_237 <=> ! [X0 : map_vertex_t19] : inv2(X0,sF97)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_237])])).
65.67/9.77	tff(f1457,plain,(
65.67/9.77	  spl108_42 <=> diff2(sK2,sK6) = sF97),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_42])])).
65.67/9.77	tff(f9704,plain,(
65.67/9.77	  ( ! [X0 : map_vertex_t19] : (inv2(X0,sF97) | empty2 != sK2) ) | ~spl108_42),
65.67/9.77	  inference(constrained_superposition,[],[f9684,f1459])).
65.67/9.77	tff(f1459,plain,(
65.67/9.77	  diff2(sK2,sK6) = sF97 | ~spl108_42),
65.67/9.77	  inference(avatar_component_clause,[],[f1457])).
65.67/9.77	tff(f9684,plain,(
65.67/9.77	  ( ! [X29 : map_vertex_t19,X30 : set_lpvertexcm_vertexrp] : (inv2(X29,diff2(empty2,X30))) )),
65.67/9.77	  inference(resolution,[],[f2109,f823])).
65.67/9.77	tff(f823,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp] : (~mem2(X0,empty2)) )),
65.67/9.77	  inference(cnf_transformation,[],[f261])).
65.67/9.77	tff(f261,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp] : ~mem2(X0,empty2)),
65.67/9.77	  inference(flattening,[],[f260])).
65.67/9.77	tff(f260,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp] : ~mem2(X0,empty2)),
65.67/9.77	  inference(true_and_false_elimination,[],[f259])).
65.67/9.77	tff(f259,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp] : (mem2(X0,empty2) <=> $false)),
65.67/9.77	  inference(rectify,[],[f187])).
65.67/9.77	tff(f187,axiom,(
65.67/9.77	  ! [X1 : lpvertexcm_vertexrp] : (mem2(X1,empty2) <=> $false)),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_empty)).
65.67/9.77	tff(f2109,plain,(
65.67/9.77	  ( ! [X14 : set_lpvertexcm_vertexrp,X15 : set_lpvertexcm_vertexrp,X13 : map_vertex_t19] : (mem2(tuple22(sK68(X13,diff2(X14,X15)),sK69(X13,diff2(X14,X15))),X14) | inv2(X13,diff2(X14,X15))) )),
65.67/9.77	  inference(resolution,[],[f899,f1031])).
65.67/9.77	tff(f1031,plain,(
65.67/9.77	  ( ! [X2 : lpvertexcm_vertexrp,X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (~mem2(X2,diff2(X0,X1)) | mem2(X2,X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f649])).
65.67/9.77	tff(f649,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp,X2 : lpvertexcm_vertexrp] : ((mem2(X2,diff2(X0,X1)) | mem2(X2,X1) | ~mem2(X2,X0)) & ((~mem2(X2,X1) & mem2(X2,X0)) | ~mem2(X2,diff2(X0,X1))))),
65.67/9.77	  inference(flattening,[],[f648])).
65.67/9.77	tff(f648,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp,X2 : lpvertexcm_vertexrp] : ((mem2(X2,diff2(X0,X1)) | (mem2(X2,X1) | ~mem2(X2,X0))) & ((~mem2(X2,X1) & mem2(X2,X0)) | ~mem2(X2,diff2(X0,X1))))),
65.67/9.77	  inference(nnf_transformation,[],[f369])).
65.67/9.77	tff(f369,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp,X2 : lpvertexcm_vertexrp] : (mem2(X2,diff2(X0,X1)) <=> (~mem2(X2,X1) & mem2(X2,X0)))),
65.67/9.77	  inference(rectify,[],[f84])).
65.67/9.77	tff(f84,axiom,(
65.67/9.77	  ! [X3 : set_lpvertexcm_vertexrp,X4 : set_lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (mem2(X1,diff2(X3,X4)) <=> (~mem2(X1,X4) & mem2(X1,X3)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_def1)).
65.67/9.77	tff(f899,plain,(
65.67/9.77	  ( ! [X0 : map_vertex_t19,X1 : set_lpvertexcm_vertexrp] : (mem2(tuple22(sK68(X0,X1),sK69(X0,X1)),X1) | inv2(X0,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f593])).
65.67/9.77	tff(f593,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : set_lpvertexcm_vertexrp] : (inv2(X0,X1) | (~le(get1(X0,sK69(X0,X1)),add3(get1(X0,sK68(X0,X1)),finite(weight(sK68(X0,X1),sK69(X0,X1))))) & mem2(tuple22(sK68(X0,X1),sK69(X0,X1)),X1)))),
65.67/9.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK68,sK69])],[f455,f592])).
65.67/9.77	tff(f592,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : set_lpvertexcm_vertexrp] : (? [X2 : vertex,X3 : vertex] : (~le(get1(X0,X3),add3(get1(X0,X2),finite(weight(X2,X3)))) & mem2(tuple22(X2,X3),X1)) => (~le(get1(X0,sK69(X0,X1)),add3(get1(X0,sK68(X0,X1)),finite(weight(sK68(X0,X1),sK69(X0,X1))))) & mem2(tuple22(sK68(X0,X1),sK69(X0,X1)),X1)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f455,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : set_lpvertexcm_vertexrp] : (inv2(X0,X1) | ? [X2 : vertex,X3 : vertex] : (~le(get1(X0,X3),add3(get1(X0,X2),finite(weight(X2,X3)))) & mem2(tuple22(X2,X3),X1)))),
65.67/9.77	  inference(ennf_transformation,[],[f402])).
65.67/9.77	tff(f402,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : set_lpvertexcm_vertexrp] : (! [X2 : vertex,X3 : vertex] : (mem2(tuple22(X2,X3),X1) => le(get1(X0,X3),add3(get1(X0,X2),finite(weight(X2,X3))))) => inv2(X0,X1))),
65.67/9.77	  inference(unused_predicate_definition_removal,[],[f315])).
65.67/9.77	tff(f315,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19,X1 : set_lpvertexcm_vertexrp] : (inv2(X0,X1) <=> ! [X2 : vertex,X3 : vertex] : (mem2(tuple22(X2,X3),X1) => le(get1(X0,X3),add3(get1(X0,X2),finite(weight(X2,X3))))))),
65.67/9.77	  inference(rectify,[],[f156])).
65.67/9.77	tff(f156,axiom,(
65.67/9.77	  ! [X27 : map_vertex_t19,X45 : set_lpvertexcm_vertexrp] : (inv2(X27,X45) <=> ! [X15 : vertex,X31 : vertex] : (mem2(tuple22(X15,X31),X45) => le(get1(X27,X31),add3(get1(X27,X15),finite(weight(X15,X31))))))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inv2_def)).
65.67/9.77	tff(f9612,plain,(
65.67/9.77	  ~spl108_235 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9585,f1342,f9609])).
65.67/9.77	tff(f9609,plain,(
65.67/9.77	  spl108_235 <=> $less($sum(48,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_235])])).
65.67/9.77	tff(f9585,plain,(
65.67/9.77	  ~$less($sum(48,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9555,f1344])).
65.67/9.77	tff(f9566,plain,(
65.67/9.77	  ~spl108_234 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9545,f1342,f9563])).
65.67/9.77	tff(f9563,plain,(
65.67/9.77	  spl108_234 <=> $less($sum(47,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_234])])).
65.67/9.77	tff(f9545,plain,(
65.67/9.77	  ~$less($sum(47,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9459,f1344])).
65.67/9.77	tff(f9532,plain,(
65.67/9.77	  ~spl108_233 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9449,f1342,f9529])).
65.67/9.77	tff(f9529,plain,(
65.67/9.77	  spl108_233 <=> $less($sum(46,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_233])])).
65.67/9.77	tff(f9449,plain,(
65.67/9.77	  ~$less($sum(46,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9336,f1344])).
65.67/9.77	tff(f9364,plain,(
65.67/9.77	  ~spl108_232 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9326,f1342,f9361])).
65.67/9.77	tff(f9361,plain,(
65.67/9.77	  spl108_232 <=> $less($sum(45,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_232])])).
65.67/9.77	tff(f9326,plain,(
65.67/9.77	  ~$less($sum(45,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9242,f1344])).
65.67/9.77	tff(f9277,plain,(
65.67/9.77	  ~spl108_231 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9232,f1342,f9274])).
65.67/9.77	tff(f9274,plain,(
65.67/9.77	  spl108_231 <=> $less($sum(44,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_231])])).
65.67/9.77	tff(f9232,plain,(
65.67/9.77	  ~$less($sum(44,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9101,f1344])).
65.67/9.77	tff(f9154,plain,(
65.67/9.77	  ~spl108_230 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9091,f1342,f9151])).
65.67/9.77	tff(f9151,plain,(
65.67/9.77	  spl108_230 <=> $less($sum(43,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_230])])).
65.67/9.77	tff(f9091,plain,(
65.67/9.77	  ~$less($sum(43,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f9015,f1344])).
65.67/9.77	tff(f9059,plain,(
65.67/9.77	  ~spl108_229 | spl108_21 | ~spl108_23 | ~spl108_44 | ~spl108_49 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_190),
65.67/9.77	  inference(avatar_split_clause,[],[f9044,f5970,f5827,f5817,f5791,f1495,f1467,f1342,f1327,f9056])).
65.67/9.77	tff(f9056,plain,(
65.67/9.77	  spl108_229 <=> $less($sum(sF93,weight(sK7,sK8)),sK11)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_229])])).
65.67/9.77	tff(f1327,plain,(
65.67/9.77	  spl108_21 <=> infinite = sF99),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_21])])).
65.67/9.77	tff(f1495,plain,(
65.67/9.77	  spl108_49 <=> mem2(sF101,sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_49])])).
65.67/9.77	tff(f5791,plain,(
65.67/9.77	  spl108_172 <=> path(s,sK13,sK7)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_172])])).
65.67/9.77	tff(f5817,plain,(
65.67/9.77	  spl108_177 <=> sF99 = get1(sK9,sK8)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_177])])).
65.67/9.77	tff(f5827,plain,(
65.67/9.77	  spl108_179 <=> sF93 = path_weight(sK13,sK7)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_179])])).
65.67/9.77	tff(f5970,plain,(
65.67/9.77	  spl108_190 <=> sK11 = sK14(sK8)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_190])])).
65.67/9.77	tff(f9044,plain,(
65.67/9.77	  ~$less($sum(sF93,weight(sK7,sK8)),sK11) | (spl108_21 | ~spl108_23 | ~spl108_44 | ~spl108_49 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1329,f1538,f1497,f9043])).
65.67/9.77	tff(f9043,plain,(
65.67/9.77	  infinite = sF99 | ~mem2(sF101,sF103) | ~$less($sum(sF93,weight(sK7,sK8)),sK11) | ~mem1(sK8,vertices) | (~spl108_23 | ~spl108_44 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_190)),
65.67/9.77	  inference(forward_demodulation,[],[f9042,f5819])).
65.67/9.77	tff(f5819,plain,(
65.67/9.77	  sF99 = get1(sK9,sK8) | ~spl108_177),
65.67/9.77	  inference(avatar_component_clause,[],[f5817])).
65.67/9.77	tff(f9042,plain,(
65.67/9.77	  ~mem2(sF101,sF103) | ~$less($sum(sF93,weight(sK7,sK8)),sK11) | infinite = get1(sK9,sK8) | ~mem1(sK8,vertices) | (~spl108_23 | ~spl108_44 | ~spl108_172 | ~spl108_179 | ~spl108_190)),
65.67/9.77	  inference(forward_demodulation,[],[f9035,f1469])).
65.67/9.77	tff(f9035,plain,(
65.67/9.77	  ~$less($sum(sF93,weight(sK7,sK8)),sK11) | ~mem2(tuple22(sK7,sK8),sF103) | infinite = get1(sK9,sK8) | ~mem1(sK8,vertices) | (~spl108_23 | ~spl108_172 | ~spl108_179 | ~spl108_190)),
65.67/9.77	  inference(superposition,[],[f6177,f5972])).
65.67/9.77	tff(f5972,plain,(
65.67/9.77	  sK11 = sK14(sK8) | ~spl108_190),
65.67/9.77	  inference(avatar_component_clause,[],[f5970])).
65.67/9.77	tff(f6177,plain,(
65.67/9.77	  ( ! [X13 : vertex] : (~$less($sum(sF93,weight(sK7,X13)),sK14(X13)) | ~mem2(tuple22(sK7,X13),sF103) | infinite = get1(sK9,X13) | ~mem1(X13,vertices)) ) | (~spl108_23 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f5793,f6176])).
65.67/9.77	tff(f6176,plain,(
65.67/9.77	  ( ! [X13 : vertex] : (~$less(sF98,sK1) | ~$less($sum(sF93,weight(sK7,X13)),sK14(X13)) | ~mem2(tuple22(sK7,X13),sF103) | ~path(s,sK13,sK7) | infinite = get1(sK9,X13) | ~mem1(X13,vertices)) ) | (~spl108_23 | ~spl108_179)),
65.67/9.77	  inference(forward_demodulation,[],[f5894,f1344])).
65.67/9.77	tff(f5894,plain,(
65.67/9.77	  ( ! [X13 : vertex] : (~$less($sum(sF93,weight(sK7,X13)),sK14(X13)) | ~mem2(tuple22(sK7,X13),sF103) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK7) | infinite = get1(sK9,X13) | ~mem1(X13,vertices)) ) | ~spl108_179),
65.67/9.77	  inference(superposition,[],[f1160,f5829])).
65.67/9.77	tff(f5829,plain,(
65.67/9.77	  sF93 = path_weight(sK13,sK7) | ~spl108_179),
65.67/9.77	  inference(avatar_component_clause,[],[f5827])).
65.67/9.77	tff(f1160,plain,(
65.67/9.77	  ( ! [X18 : list_vertex,X14 : vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),sK14(X14)) | ~mem2(tuple22(X17,X14),sF103) | ~$less(length1(X18),sK1) | ~path(s,X18,X17) | infinite = get1(sK9,X14) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(definition_folding,[],[f1090,f1155,f1154,f1153])).
65.67/9.77	tff(f1153,plain,(
65.67/9.77	  tuple22(sK7,sK8) = sF101),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1154,plain,(
65.67/9.77	  diff2(sK2,sK3) = sF102),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1155,plain,(
65.67/9.77	  add2(sF101,sF102) = sF103),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1090,plain,(
65.67/9.77	  ( ! [X18 : list_vertex,X14 : vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),sK14(X14)) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(sK2,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17) | infinite = get1(sK9,X14) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(definition_unfolding,[],[f733,f686])).
65.67/9.77	tff(f686,plain,(
65.67/9.77	  edges = sK2),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f733,plain,(
65.67/9.77	  ( ! [X18 : list_vertex,X14 : vertex,X17 : vertex] : (~$less($sum(path_weight(X18,X17),weight(X17,X14)),sK14(X14)) | ~mem2(tuple22(X17,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~$less(length1(X18),sK1) | ~path(s,X18,X17) | infinite = get1(sK9,X14) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f5793,plain,(
65.67/9.77	  path(s,sK13,sK7) | ~spl108_172),
65.67/9.77	  inference(avatar_component_clause,[],[f5791])).
65.67/9.77	tff(f1149,plain,(
65.67/9.77	  $less(sF98,sK1)),
65.67/9.77	  inference(definition_folding,[],[f745,f1148])).
65.67/9.77	tff(f1148,plain,(
65.67/9.77	  length1(sK13) = sF98),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f745,plain,(
65.67/9.77	  $less(length1(sK13),sK1)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1497,plain,(
65.67/9.77	  mem2(sF101,sF103) | ~spl108_49),
65.67/9.77	  inference(avatar_component_clause,[],[f1495])).
65.67/9.77	tff(f1538,plain,(
65.67/9.77	  mem1(sK8,vertices) | ~spl108_44),
65.67/9.77	  inference(global_subsumption,[],[f1171,f1537])).
65.67/9.77	tff(f1537,plain,(
65.67/9.77	  ~mem2(sF101,sK2) | mem1(sK8,vertices) | ~spl108_44),
65.67/9.77	  inference(superposition,[],[f1111,f1469])).
65.67/9.77	tff(f1111,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (~mem2(tuple22(X0,X1),sK2) | mem1(X1,vertices)) )),
65.67/9.77	  inference(definition_unfolding,[],[f887,f686])).
65.67/9.77	tff(f887,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (mem1(X1,vertices) | ~mem2(tuple22(X0,X1),edges)) )),
65.67/9.77	  inference(cnf_transformation,[],[f443])).
65.67/9.77	tff(f443,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex] : ((mem1(X1,vertices) & mem1(X0,vertices)) | ~mem2(tuple22(X0,X1),edges))),
65.67/9.77	  inference(ennf_transformation,[],[f307])).
65.67/9.77	tff(f307,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex] : (mem2(tuple22(X0,X1),edges) => (mem1(X1,vertices) & mem1(X0,vertices)))),
65.67/9.77	  inference(rectify,[],[f32])).
65.67/9.77	tff(f32,axiom,(
65.67/9.77	  ! [X1 : vertex,X11 : vertex] : (mem2(tuple22(X1,X11),edges) => (mem1(X11,vertices) & mem1(X1,vertices)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',edges_def)).
65.67/9.77	tff(f1171,plain,(
65.67/9.77	  mem2(sF101,sK2)),
65.67/9.77	  inference(definition_folding,[],[f1101,f1153])).
65.67/9.77	tff(f1101,plain,(
65.67/9.77	  mem2(tuple22(sK7,sK8),sK2)),
65.67/9.77	  inference(definition_unfolding,[],[f709,f686])).
65.67/9.77	tff(f709,plain,(
65.67/9.77	  mem2(tuple22(sK7,sK8),edges)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1329,plain,(
65.67/9.77	  infinite != sF99 | spl108_21),
65.67/9.77	  inference(avatar_component_clause,[],[f1327])).
65.67/9.77	tff(f9027,plain,(
65.67/9.77	  ~spl108_228 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f9005,f1342,f9024])).
65.67/9.77	tff(f9024,plain,(
65.67/9.77	  spl108_228 <=> $less($sum(42,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_228])])).
65.67/9.77	tff(f9005,plain,(
65.67/9.77	  ~$less($sum(42,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8948,f1344])).
65.67/9.77	tff(f8992,plain,(
65.67/9.77	  ~spl108_227 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8938,f1342,f8989])).
65.67/9.77	tff(f8989,plain,(
65.67/9.77	  spl108_227 <=> $less($sum(41,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_227])])).
65.67/9.77	tff(f8938,plain,(
65.67/9.77	  ~$less($sum(41,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8898,f1344])).
65.67/9.77	tff(f8957,plain,(
65.67/9.77	  spl108_225 | ~spl108_226 | ~spl108_50),
65.67/9.77	  inference(avatar_split_clause,[],[f2559,f1500,f8954,f8951])).
65.67/9.77	tff(f8951,plain,(
65.67/9.77	  spl108_225 <=> ! [X0 : vertex] : (~$less(0,sK22(X0)) | ~mem1(X0,vertices) | ~path(s,tb2t3(nil(vertex1)),X0) | infinite = get1(sK0,X0))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_225])])).
65.67/9.77	tff(f8954,plain,(
65.67/9.77	  spl108_226 <=> $less(0,sK1)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_226])])).
65.67/9.77	tff(f1500,plain,(
65.67/9.77	  spl108_50 <=> 0 = length1(tb2t3(nil(vertex1)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_50])])).
65.67/9.77	tff(f2559,plain,(
65.67/9.77	  ( ! [X0 : vertex] : (~$less(0,sK1) | ~$less(0,sK22(X0)) | infinite = get1(sK0,X0) | ~path(s,tb2t3(nil(vertex1)),X0) | ~mem1(X0,vertices)) ) | ~spl108_50),
65.67/9.77	  inference(forward_demodulation,[],[f2537,f1502])).
65.67/9.77	tff(f1502,plain,(
65.67/9.77	  0 = length1(tb2t3(nil(vertex1))) | ~spl108_50),
65.67/9.77	  inference(avatar_component_clause,[],[f1500])).
65.67/9.77	tff(f2537,plain,(
65.67/9.77	  ( ! [X0 : vertex] : (~$less(0,sK22(X0)) | infinite = get1(sK0,X0) | ~$less(length1(tb2t3(nil(vertex1))),sK1) | ~path(s,tb2t3(nil(vertex1)),X0) | ~mem1(X0,vertices)) )),
65.67/9.77	  inference(superposition,[],[f684,f804])).
65.67/9.77	tff(f804,plain,(
65.67/9.77	  ( ! [X0 : vertex] : (0 = path_weight(tb2t3(nil(vertex1)),X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f407])).
65.67/9.77	tff(f407,plain,(
65.67/9.77	  ! [X0 : vertex] : (0 = path_weight(tb2t3(nil(vertex1)),X0) & ! [X1 : vertex,X2 : list_vertex] : ((path_weight(tb2t3(cons(vertex1,t2tb(X1),t2tb3(X2))),X0) = weight(X1,X0) | tb2t3(nil(vertex1)) != X2) & ! [X3 : vertex,X4 : list_vertex] : (path_weight(tb2t3(cons(vertex1,t2tb(X1),t2tb3(X2))),X0) = $sum(weight(X1,X3),path_weight(X2,X0)) | tb2t3(cons(vertex1,t2tb(X3),t2tb3(X4))) != X2)))),
65.67/9.77	  inference(ennf_transformation,[],[f242])).
65.67/9.77	tff(f242,plain,(
65.67/9.77	  ! [X0 : vertex] : (0 = path_weight(tb2t3(nil(vertex1)),X0) & ! [X1 : vertex,X2 : list_vertex] : ((tb2t3(nil(vertex1)) = X2 => path_weight(tb2t3(cons(vertex1,t2tb(X1),t2tb3(X2))),X0) = weight(X1,X0)) & ! [X3 : vertex,X4 : list_vertex] : (tb2t3(cons(vertex1,t2tb(X3),t2tb3(X4))) = X2 => path_weight(tb2t3(cons(vertex1,t2tb(X1),t2tb3(X2))),X0) = $sum(weight(X1,X3),path_weight(X2,X0)))))),
65.67/9.77	  inference(rectify,[],[f23])).
65.67/9.77	tff(f23,axiom,(
65.67/9.77	  ! [X20 : vertex] : (0 = path_weight(tb2t3(nil(vertex1)),X20) & ! [X1 : vertex,X21 : list_vertex] : ((tb2t3(nil(vertex1)) = X21 => path_weight(tb2t3(cons(vertex1,t2tb(X1),t2tb3(X21))),X20) = weight(X1,X20)) & ! [X22 : vertex,X23 : list_vertex] : (tb2t3(cons(vertex1,t2tb(X22),t2tb3(X23))) = X21 => path_weight(tb2t3(cons(vertex1,t2tb(X1),t2tb3(X21))),X20) = $sum(weight(X1,X22),path_weight(X21,X20)))))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_weight_def)).
65.67/9.77	tff(f684,plain,(
65.67/9.77	  ( ! [X45 : vertex,X52 : list_vertex] : (~$less(path_weight(X52,X45),sK22(X45)) | infinite = get1(sK0,X45) | ~$less(length1(X52),sK1) | ~path(s,X52,X45) | ~mem1(X45,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f8921,plain,(
65.67/9.77	  ~spl108_224 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8888,f1342,f8918])).
65.67/9.77	tff(f8918,plain,(
65.67/9.77	  spl108_224 <=> $less($sum(40,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_224])])).
65.67/9.77	tff(f8888,plain,(
65.67/9.77	  ~$less($sum(40,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8761,f1344])).
65.67/9.77	tff(f8811,plain,(
65.67/9.77	  ~spl108_223 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8751,f1342,f8808])).
65.67/9.77	tff(f8808,plain,(
65.67/9.77	  spl108_223 <=> $less($sum(39,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_223])])).
65.67/9.77	tff(f8751,plain,(
65.67/9.77	  ~$less($sum(39,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8620,f1344])).
65.67/9.77	tff(f8651,plain,(
65.67/9.77	  ~spl108_222 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8610,f1342,f8648])).
65.67/9.77	tff(f8648,plain,(
65.67/9.77	  spl108_222 <=> $less($sum(38,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_222])])).
65.67/9.77	tff(f8610,plain,(
65.67/9.77	  ~$less($sum(38,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8517,f1344])).
65.67/9.77	tff(f8536,plain,(
65.67/9.77	  ~spl108_221 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8507,f1342,f8533])).
65.67/9.77	tff(f8533,plain,(
65.67/9.77	  spl108_221 <=> $less($sum(37,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_221])])).
65.67/9.77	tff(f8507,plain,(
65.67/9.77	  ~$less($sum(37,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8395,f1344])).
65.67/9.77	tff(f8447,plain,(
65.67/9.77	  ~spl108_220 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8385,f1342,f8444])).
65.67/9.77	tff(f8444,plain,(
65.67/9.77	  spl108_220 <=> $less($sum(36,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_220])])).
65.67/9.77	tff(f8385,plain,(
65.67/9.77	  ~$less($sum(36,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8300,f1344])).
65.67/9.77	tff(f8340,plain,(
65.67/9.77	  ~spl108_219 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8290,f1342,f8337])).
65.67/9.77	tff(f8337,plain,(
65.67/9.77	  spl108_219 <=> $less($sum(35,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_219])])).
65.67/9.77	tff(f8290,plain,(
65.67/9.77	  ~$less($sum(35,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8160,f1344])).
65.67/9.77	tff(f8257,plain,(
65.67/9.77	  ~spl108_218 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8152,f1342,f8254])).
65.67/9.77	tff(f8254,plain,(
65.67/9.77	  spl108_218 <=> $less($sum(34,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_218])])).
65.67/9.77	tff(f8152,plain,(
65.67/9.77	  ~$less($sum(34,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f8076,f1344])).
65.67/9.77	tff(f8105,plain,(
65.67/9.77	  ~spl108_217 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f8068,f1342,f8102])).
65.67/9.77	tff(f8102,plain,(
65.67/9.77	  spl108_217 <=> $less($sum(33,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_217])])).
65.67/9.77	tff(f8068,plain,(
65.67/9.77	  ~$less($sum(33,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f7353,f1344])).
65.67/9.77	tff(f7375,plain,(
65.67/9.77	  ~spl108_216 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f7345,f1342,f7372])).
65.67/9.77	tff(f7372,plain,(
65.67/9.77	  spl108_216 <=> $less($sum(32,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_216])])).
65.67/9.77	tff(f7345,plain,(
65.67/9.77	  ~$less($sum(32,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f7139,f1344])).
65.67/9.77	tff(f7159,plain,(
65.67/9.77	  ~spl108_215 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f7133,f1342,f7156])).
65.67/9.77	tff(f7156,plain,(
65.67/9.77	  spl108_215 <=> $less($sum(31,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_215])])).
65.67/9.77	tff(f7133,plain,(
65.67/9.77	  ~$less($sum(31,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f6950,f1344])).
65.67/9.77	tff(f7083,plain,(
65.67/9.77	  ~spl108_214 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f6946,f1342,f7080])).
65.67/9.77	tff(f7080,plain,(
65.67/9.77	  spl108_214 <=> $less($sum(30,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_214])])).
65.67/9.77	tff(f6946,plain,(
65.67/9.77	  ~$less($sum(30,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f5535,f1344])).
65.67/9.77	tff(f7041,plain,(
65.67/9.77	  spl108_212 | ~spl108_213 | ~spl108_24),
65.67/9.77	  inference(avatar_split_clause,[],[f2281,f1347,f7038,f7035])).
65.67/9.77	tff(f7035,plain,(
65.67/9.77	  spl108_212 <=> ! [X0 : vertex] : (~mem1(X0,vertices) | tb2t(choose(vertex1,t2tb5(vertices))) = X0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_212])])).
65.67/9.77	tff(f7038,plain,(
65.67/9.77	  spl108_213 <=> 1 = sF105),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_213])])).
65.67/9.77	tff(f1347,plain,(
65.67/9.77	  spl108_24 <=> cardinal1(vertices) = sF105),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_24])])).
65.67/9.77	tff(f2281,plain,(
65.67/9.77	  ( ! [X0 : vertex] : (1 != sF105 | ~mem1(X0,vertices) | tb2t(choose(vertex1,t2tb5(vertices))) = X0) ) | ~spl108_24),
65.67/9.77	  inference(superposition,[],[f811,f1349])).
65.67/9.77	tff(f1349,plain,(
65.67/9.77	  cardinal1(vertices) = sF105 | ~spl108_24),
65.67/9.77	  inference(avatar_component_clause,[],[f1347])).
65.67/9.77	tff(f811,plain,(
65.67/9.77	  ( ! [X0 : set_vertex,X1 : vertex] : (1 != cardinal1(X0) | ~mem1(X1,X0) | tb2t(choose(vertex1,t2tb5(X0))) = X1) )),
65.67/9.77	  inference(cnf_transformation,[],[f412])).
65.67/9.77	tff(f412,plain,(
65.67/9.77	  ! [X0 : set_vertex] : (! [X1 : vertex] : (tb2t(choose(vertex1,t2tb5(X0))) = X1 | ~mem1(X1,X0)) | 1 != cardinal1(X0))),
65.67/9.77	  inference(ennf_transformation,[],[f249])).
65.67/9.77	tff(f249,plain,(
65.67/9.77	  ! [X0 : set_vertex] : (1 = cardinal1(X0) => ! [X1 : vertex] : (mem1(X1,X0) => tb2t(choose(vertex1,t2tb5(X0))) = X1))),
65.67/9.77	  inference(rectify,[],[f53])).
65.67/9.77	tff(f53,axiom,(
65.67/9.77	  ! [X2 : set_vertex] : (1 = cardinal1(X2) => ! [X1 : vertex] : (mem1(X1,X2) => tb2t(choose(vertex1,t2tb5(X2))) = X1))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal12)).
65.67/9.77	tff(f6902,plain,(
65.67/9.77	  spl108_211),
65.67/9.77	  inference(avatar_split_clause,[],[f1885,f6899])).
65.67/9.77	tff(f6899,plain,(
65.67/9.77	  spl108_211 <=> witness(set1(tuple2(vertex1,vertex1))) = t2tb4(tb2t4(witness(set1(tuple2(vertex1,vertex1)))))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_211])])).
65.67/9.77	tff(f1885,plain,(
65.67/9.77	  witness(set1(tuple2(vertex1,vertex1))) = t2tb4(tb2t4(witness(set1(tuple2(vertex1,vertex1)))))),
65.67/9.77	  inference(resolution,[],[f816,f772])).
65.67/9.77	tff(f772,plain,(
65.67/9.77	  ( ! [X0 : ty] : (sort(X0,witness(X0))) )),
65.67/9.77	  inference(cnf_transformation,[],[f225])).
65.67/9.77	tff(f225,plain,(
65.67/9.77	  ! [X0 : ty] : sort(X0,witness(X0))),
65.67/9.77	  inference(rectify,[],[f63])).
65.67/9.77	tff(f63,axiom,(
65.67/9.77	  ! [X10 : ty] : sort(X10,witness(X10))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',witness_sort)).
65.67/9.77	tff(f816,plain,(
65.67/9.77	  ( ! [X0 : uni] : (~sort(set1(tuple2(vertex1,vertex1)),X0) | t2tb4(tb2t4(X0)) = X0) )),
65.67/9.77	  inference(cnf_transformation,[],[f418])).
65.67/9.77	tff(f418,plain,(
65.67/9.77	  ! [X0 : uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(set1(tuple2(vertex1,vertex1)),X0))),
65.67/9.77	  inference(ennf_transformation,[],[f254])).
65.67/9.77	tff(f254,plain,(
65.67/9.77	  ! [X0 : uni] : (sort(set1(tuple2(vertex1,vertex1)),X0) => t2tb4(tb2t4(X0)) = X0)),
65.67/9.77	  inference(rectify,[],[f168])).
65.67/9.77	tff(f168,axiom,(
65.67/9.77	  ! [X17 : uni] : (sort(set1(tuple2(vertex1,vertex1)),X17) => t2tb4(tb2t4(X17)) = X17)),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR4)).
65.67/9.77	tff(f6871,plain,(
65.67/9.77	  spl108_210 | ~spl108_196),
65.67/9.77	  inference(avatar_split_clause,[],[f6044,f6031,f6868])).
65.67/9.77	tff(f6868,plain,(
65.67/9.77	  spl108_210 <=> add2(sF96,sF102) = add2(sF96,sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_210])])).
65.67/9.77	tff(f6031,plain,(
65.67/9.77	  spl108_196 <=> remove2(sF96,sF102) = remove2(sF96,sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_196])])).
65.67/9.77	tff(f6044,plain,(
65.67/9.77	  add2(sF96,sF102) = add2(sF96,sF103) | ~spl108_196),
65.67/9.77	  inference(forward_demodulation,[],[f6040,f1817])).
65.67/9.77	tff(f1817,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (add2(X0,X1) = add2(X0,remove2(X0,X1))) )),
65.67/9.77	  inference(global_subsumption,[],[f1136,f1812])).
65.67/9.77	tff(f1812,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (add2(X0,X1) = add2(X0,remove2(X0,X1)) | ~mem2(X0,add2(X0,X1))) )),
65.67/9.77	  inference(superposition,[],[f871,f851])).
65.67/9.77	tff(f851,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (remove2(X0,add2(X0,X1)) = remove2(X0,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f280])).
65.67/9.77	tff(f280,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : remove2(X0,add2(X0,X1)) = remove2(X0,X1)),
65.67/9.77	  inference(rectify,[],[f58])).
65.67/9.77	tff(f58,axiom,(
65.67/9.77	  ! [X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : remove2(X1,add2(X1,X2)) = remove2(X1,X2)),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_add)).
65.67/9.77	tff(f871,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (add2(X0,remove2(X0,X1)) = X1 | ~mem2(X0,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f429])).
65.67/9.77	tff(f429,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (add2(X0,remove2(X0,X1)) = X1 | ~mem2(X0,X1))),
65.67/9.77	  inference(ennf_transformation,[],[f297])).
65.67/9.77	tff(f297,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (mem2(X0,X1) => add2(X0,remove2(X0,X1)) = X1)),
65.67/9.77	  inference(rectify,[],[f133])).
65.67/9.77	tff(f133,axiom,(
65.67/9.77	  ! [X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : (mem2(X1,X2) => add2(X1,remove2(X1,X2)) = X2)),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_remove)).
65.67/9.77	tff(f1136,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (mem2(X1,add2(X1,X2))) )),
65.67/9.77	  inference(equality_resolution,[],[f1026])).
65.67/9.77	tff(f1026,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (mem2(X0,add2(X1,X2)) | X0 != X1) )),
65.67/9.77	  inference(cnf_transformation,[],[f645])).
65.67/9.77	tff(f6040,plain,(
65.67/9.77	  add2(sF96,sF103) = add2(sF96,remove2(sF96,sF102)) | ~spl108_196),
65.67/9.77	  inference(superposition,[],[f1817,f6033])).
65.67/9.77	tff(f6033,plain,(
65.67/9.77	  remove2(sF96,sF102) = remove2(sF96,sF103) | ~spl108_196),
65.67/9.77	  inference(avatar_component_clause,[],[f6031])).
65.67/9.77	tff(f6814,plain,(
65.67/9.77	  ~spl108_209 | ~spl108_196),
65.67/9.77	  inference(avatar_split_clause,[],[f6042,f6031,f6811])).
65.67/9.77	tff(f6811,plain,(
65.67/9.77	  spl108_209 <=> $less(cardinal2(sF103),cardinal2(remove2(sF96,sF102)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_209])])).
65.67/9.77	tff(f6042,plain,(
65.67/9.77	  ~$less(cardinal2(sF103),cardinal2(remove2(sF96,sF102))) | ~spl108_196),
65.67/9.77	  inference(superposition,[],[f2210,f6033])).
65.67/9.77	tff(f2210,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (~$less(cardinal2(X0),cardinal2(remove2(X1,X0)))) )),
65.67/9.77	  inference(resolution,[],[f890,f855])).
65.67/9.77	tff(f855,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (subset(tuple2(vertex1,vertex1),t2tb4(remove2(X0,X1)),t2tb4(X1))) )),
65.67/9.77	  inference(cnf_transformation,[],[f284])).
65.67/9.77	tff(f284,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : subset(tuple2(vertex1,vertex1),t2tb4(remove2(X0,X1)),t2tb4(X1))),
65.67/9.77	  inference(rectify,[],[f103])).
65.67/9.77	tff(f103,axiom,(
65.67/9.77	  ! [X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : subset(tuple2(vertex1,vertex1),t2tb4(remove2(X1,X2)),t2tb4(X2))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_remove)).
65.67/9.77	tff(f890,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (~subset(tuple2(vertex1,vertex1),t2tb4(X0),t2tb4(X1)) | ~$less(cardinal2(X1),cardinal2(X0))) )),
65.67/9.77	  inference(cnf_transformation,[],[f446])).
65.67/9.77	tff(f446,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (~$less(cardinal2(X1),cardinal2(X0)) | ~subset(tuple2(vertex1,vertex1),t2tb4(X0),t2tb4(X1)))),
65.67/9.77	  inference(ennf_transformation,[],[f310])).
65.67/9.77	tff(f310,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (subset(tuple2(vertex1,vertex1),t2tb4(X0),t2tb4(X1)) => ~$less(cardinal2(X1),cardinal2(X0)))),
65.67/9.77	  inference(rectify,[],[f207])).
65.67/9.77	tff(f207,plain,(
65.67/9.77	  ! [X3 : set_lpvertexcm_vertexrp,X4 : set_lpvertexcm_vertexrp] : (subset(tuple2(vertex1,vertex1),t2tb4(X3),t2tb4(X4)) => ~$less(cardinal2(X4),cardinal2(X3)))),
65.67/9.77	  inference(theory_normalization,[],[f190])).
65.67/9.77	tff(f190,axiom,(
65.67/9.77	  ! [X3 : set_lpvertexcm_vertexrp,X4 : set_lpvertexcm_vertexrp] : (subset(tuple2(vertex1,vertex1),t2tb4(X3),t2tb4(X4)) => $lesseq(cardinal2(X3),cardinal2(X4)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_subset)).
65.67/9.77	tff(f6774,plain,(
65.67/9.77	  spl108_208 | ~spl108_188),
65.67/9.77	  inference(avatar_split_clause,[],[f6001,f5960,f6771])).
65.67/9.77	tff(f6771,plain,(
65.67/9.77	  spl108_208 <=> remove2(sF96,sK3) = remove2(sF96,sK6)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_208])])).
65.67/9.77	tff(f5960,plain,(
65.67/9.77	  spl108_188 <=> sK3 = add2(sF96,sK6)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_188])])).
65.67/9.77	tff(f6001,plain,(
65.67/9.77	  remove2(sF96,sK3) = remove2(sF96,sK6) | ~spl108_188),
65.67/9.77	  inference(superposition,[],[f851,f5962])).
65.67/9.77	tff(f5962,plain,(
65.67/9.77	  sK3 = add2(sF96,sK6) | ~spl108_188),
65.67/9.77	  inference(avatar_component_clause,[],[f5960])).
65.67/9.77	tff(f6598,plain,(
65.67/9.77	  spl108_190 | ~spl108_36 | ~spl108_207),
65.67/9.77	  inference(avatar_split_clause,[],[f6547,f6516,f1426,f5970])).
65.67/9.77	tff(f1426,plain,(
65.67/9.77	  spl108_36 <=> sK11 = finite_proj_1(sF99)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_36])])).
65.67/9.77	tff(f6516,plain,(
65.67/9.77	  spl108_207 <=> sF99 = finite(sK14(sK8))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_207])])).
65.67/9.77	tff(f6547,plain,(
65.67/9.77	  sK11 = sK14(sK8) | (~spl108_36 | ~spl108_207)),
65.67/9.77	  inference(forward_demodulation,[],[f6523,f1428])).
65.67/9.77	tff(f1428,plain,(
65.67/9.77	  sK11 = finite_proj_1(sF99) | ~spl108_36),
65.67/9.77	  inference(avatar_component_clause,[],[f1426])).
65.67/9.77	tff(f6523,plain,(
65.67/9.77	  finite_proj_1(sF99) = sK14(sK8) | ~spl108_207),
65.67/9.77	  inference(superposition,[],[f774,f6518])).
65.67/9.77	tff(f6518,plain,(
65.67/9.77	  sF99 = finite(sK14(sK8)) | ~spl108_207),
65.67/9.77	  inference(avatar_component_clause,[],[f6516])).
65.67/9.77	tff(f774,plain,(
65.67/9.77	  ( ! [X0 : $int] : (finite_proj_1(finite(X0)) = X0) )),
65.67/9.77	  inference(cnf_transformation,[],[f226])).
65.67/9.77	tff(f226,plain,(
65.67/9.77	  ! [X0 : $int] : finite_proj_1(finite(X0)) = X0),
65.67/9.77	  inference(rectify,[],[f114])).
65.67/9.77	tff(f114,axiom,(
65.67/9.77	  ! [X15 : $int] : finite_proj_1(finite(X15)) = X15),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_proj_1_def)).
65.67/9.77	tff(f6579,plain,(
65.67/9.77	  ~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6578])).
65.67/9.77	tff(f6578,plain,(
65.67/9.77	  $false | (~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f5971,plain,(
65.67/9.77	  sK11 != sK14(sK8) | spl108_190),
65.67/9.77	  inference(avatar_component_clause,[],[f5970])).
65.67/9.77	tff(f6577,plain,(
65.67/9.77	  ~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6576])).
65.67/9.77	tff(f6576,plain,(
65.67/9.77	  $false | (~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6575,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6574])).
65.67/9.77	tff(f6574,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6573,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6572])).
65.67/9.77	tff(f6572,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6571,plain,(
65.67/9.77	  ~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6570])).
65.67/9.77	tff(f6570,plain,(
65.67/9.77	  $false | (~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6569,plain,(
65.67/9.77	  ~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6568])).
65.67/9.77	tff(f6568,plain,(
65.67/9.77	  $false | (~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6567,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6566])).
65.67/9.77	tff(f6566,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6565,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6564])).
65.67/9.77	tff(f6564,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6563,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6562])).
65.67/9.77	tff(f6562,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6561,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6560])).
65.67/9.77	tff(f6560,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6559,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6558])).
65.67/9.77	tff(f6558,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6557,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6556])).
65.67/9.77	tff(f6556,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6555,plain,(
65.67/9.77	  ~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6554])).
65.67/9.77	tff(f6554,plain,(
65.67/9.77	  $false | (~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6552,plain,(
65.67/9.77	  ~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6551])).
65.67/9.77	tff(f6551,plain,(
65.67/9.77	  $false | (~spl108_18 | ~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6549,plain,(
65.67/9.77	  ~spl108_36 | spl108_190 | ~spl108_207),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6548])).
65.67/9.77	tff(f6548,plain,(
65.67/9.77	  $false | (~spl108_36 | spl108_190 | ~spl108_207)),
65.67/9.77	  inference(global_subsumption,[],[f5971,f6547])).
65.67/9.77	tff(f6519,plain,(
65.67/9.77	  spl108_207 | spl108_21 | ~spl108_55 | ~spl108_177),
65.67/9.77	  inference(avatar_split_clause,[],[f6507,f5817,f1540,f1327,f6516])).
65.67/9.77	tff(f1540,plain,(
65.67/9.77	  spl108_55 <=> mem1(sK8,vertices)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_55])])).
65.67/9.77	tff(f6507,plain,(
65.67/9.77	  sF99 = finite(sK14(sK8)) | (spl108_21 | ~spl108_55 | ~spl108_177)),
65.67/9.77	  inference(global_subsumption,[],[f1329,f1542,f6506])).
65.67/9.77	tff(f6506,plain,(
65.67/9.77	  infinite = sF99 | sF99 = finite(sK14(sK8)) | ~mem1(sK8,vertices) | ~spl108_177),
65.67/9.77	  inference(forward_demodulation,[],[f5866,f5819])).
65.67/9.77	tff(f5866,plain,(
65.67/9.77	  sF99 = finite(sK14(sK8)) | infinite = get1(sK9,sK8) | ~mem1(sK8,vertices) | ~spl108_177),
65.67/9.77	  inference(superposition,[],[f5819,f739])).
65.67/9.77	tff(f739,plain,(
65.67/9.77	  ( ! [X14 : vertex] : (get1(sK9,X14) = finite(sK14(X14)) | infinite = get1(sK9,X14) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1542,plain,(
65.67/9.77	  mem1(sK8,vertices) | ~spl108_55),
65.67/9.77	  inference(avatar_component_clause,[],[f1540])).
65.67/9.77	tff(f6500,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6499])).
65.67/9.77	tff(f6499,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6476,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~$less(sF95,sK11) | ~path(s,sK13,sK7) | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(forward_demodulation,[],[f6475,f1344])).
65.67/9.77	tff(f6475,plain,(
65.67/9.77	  ~$less(sF95,sK11) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK7) | (spl108_21 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(forward_demodulation,[],[f6453,f1449])).
65.67/9.77	tff(f1449,plain,(
65.67/9.77	  $sum(sF93,sF94) = sF95 | ~spl108_40),
65.67/9.77	  inference(avatar_component_clause,[],[f1447])).
65.67/9.77	tff(f1447,plain,(
65.67/9.77	  spl108_40 <=> $sum(sF93,sF94) = sF95),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_40])])).
65.67/9.77	tff(f6453,plain,(
65.67/9.77	  ~$less($sum(sF93,sF94),sK11) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK7) | (spl108_21 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(superposition,[],[f6229,f5829])).
65.67/9.77	tff(f6229,plain,(
65.67/9.77	  ( ! [X6 : list_vertex] : (~$less($sum(path_weight(X6,sK7),sF94),sK11) | ~$less(length1(X6),sK1) | ~path(s,X6,sK7)) ) | (spl108_21 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_177 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1497,f6228])).
65.67/9.77	tff(f6228,plain,(
65.67/9.77	  ( ! [X6 : list_vertex] : (~mem2(sF101,sF103) | ~$less($sum(path_weight(X6,sK7),sF94),sK11) | ~$less(length1(X6),sK1) | ~path(s,X6,sK7)) ) | (spl108_21 | ~spl108_44 | ~spl108_55 | ~spl108_177 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(backward_demodulation,[],[f6161,f1469])).
65.67/9.77	tff(f6161,plain,(
65.67/9.77	  ( ! [X6 : list_vertex] : (~$less($sum(path_weight(X6,sK7),sF94),sK11) | ~mem2(tuple22(sK7,sK8),sF103) | ~$less(length1(X6),sK1) | ~path(s,X6,sK7)) ) | (spl108_21 | ~spl108_55 | ~spl108_177 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1329,f1542,f6160])).
65.67/9.77	tff(f6160,plain,(
65.67/9.77	  ( ! [X6 : list_vertex] : (infinite = sF99 | ~$less($sum(path_weight(X6,sK7),sF94),sK11) | ~mem2(tuple22(sK7,sK8),sF103) | ~$less(length1(X6),sK1) | ~path(s,X6,sK7) | ~mem1(sK8,vertices)) ) | (~spl108_177 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(forward_demodulation,[],[f6159,f5819])).
65.67/9.77	tff(f6159,plain,(
65.67/9.77	  ( ! [X6 : list_vertex] : (~$less($sum(path_weight(X6,sK7),sF94),sK11) | ~mem2(tuple22(sK7,sK8),sF103) | ~$less(length1(X6),sK1) | ~path(s,X6,sK7) | infinite = get1(sK9,sK8) | ~mem1(sK8,vertices)) ) | (~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(forward_demodulation,[],[f5905,f5972])).
65.67/9.77	tff(f5905,plain,(
65.67/9.77	  ( ! [X6 : list_vertex] : (~$less($sum(path_weight(X6,sK7),sF94),sK14(sK8)) | ~mem2(tuple22(sK7,sK8),sF103) | ~$less(length1(X6),sK1) | ~path(s,X6,sK7) | infinite = get1(sK9,sK8) | ~mem1(sK8,vertices)) ) | ~spl108_180),
65.67/9.77	  inference(superposition,[],[f1160,f5834])).
65.67/9.77	tff(f5834,plain,(
65.67/9.77	  sF94 = weight(sK7,sK8) | ~spl108_180),
65.67/9.77	  inference(avatar_component_clause,[],[f5832])).
65.67/9.77	tff(f5832,plain,(
65.67/9.77	  spl108_180 <=> sF94 = weight(sK7,sK8)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_180])])).
65.67/9.77	tff(f1144,plain,(
65.67/9.77	  $less(sF95,sK11)),
65.67/9.77	  inference(definition_folding,[],[f747,f1143,f1142,f1141])).
65.67/9.77	tff(f1141,plain,(
65.67/9.77	  path_weight(sK13,sK12) = sF93),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1142,plain,(
65.67/9.77	  weight(sK12,sK10) = sF94),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1143,plain,(
65.67/9.77	  $sum(sF93,sF94) = sF95),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f747,plain,(
65.67/9.77	  $less($sum(path_weight(sK13,sK12),weight(sK12,sK10)),sK11)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f6498,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6497])).
65.67/9.77	tff(f6497,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6496,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6495])).
65.67/9.77	tff(f6495,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6494,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6493])).
65.67/9.77	tff(f6493,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6492,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6491])).
65.67/9.77	tff(f6491,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6490,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6489])).
65.67/9.77	tff(f6489,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6488,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6487])).
65.67/9.77	tff(f6487,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6486,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6485])).
65.67/9.77	tff(f6485,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6484,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6483])).
65.67/9.77	tff(f6483,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6482,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6481])).
65.67/9.77	tff(f6481,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6480,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6479])).
65.67/9.77	tff(f6479,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6478,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6477])).
65.67/9.77	tff(f6477,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_40 | ~spl108_44 | ~spl108_49 | ~spl108_55 | ~spl108_172 | ~spl108_177 | ~spl108_179 | ~spl108_180 | ~spl108_190)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6476])).
65.67/9.77	tff(f6448,plain,(
65.67/9.77	  spl108_201 | spl108_202 | ~spl108_55 | ~spl108_177),
65.67/9.77	  inference(avatar_split_clause,[],[f6182,f5817,f1540,f6097,f6094])).
65.67/9.77	tff(f6094,plain,(
65.67/9.77	  spl108_201 <=> ! [X45 : $int,X46 : set_lpvertexcm_vertexrp] : ~inv1(sK9,X45,X46)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_201])])).
65.67/9.77	tff(f6097,plain,(
65.67/9.77	  spl108_202 <=> ! [X44 : $int] : (path(s,sK81(sK8,X44),sK8) | sF99 != finite(X44))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_202])])).
65.67/9.77	tff(f6182,plain,(
65.67/9.77	  ( ! [X24 : set_lpvertexcm_vertexrp,X22 : $int,X23 : $int] : (sF99 != finite(X22) | path(s,sK81(sK8,X22),sK8) | ~inv1(sK9,X23,X24)) ) | (~spl108_55 | ~spl108_177)),
65.67/9.77	  inference(global_subsumption,[],[f1542,f5875])).
65.67/9.77	tff(f5875,plain,(
65.67/9.77	  ( ! [X24 : set_lpvertexcm_vertexrp,X22 : $int,X23 : $int] : (sF99 != finite(X22) | path(s,sK81(sK8,X22),sK8) | ~mem1(sK8,vertices) | ~inv1(sK9,X23,X24)) ) | ~spl108_177),
65.67/9.77	  inference(superposition,[],[f946,f5819])).
65.67/9.77	tff(f6375,plain,(
65.67/9.77	  ~spl108_206 | spl108_123 | ~spl108_178),
65.67/9.77	  inference(avatar_split_clause,[],[f6224,f5822,f4784,f6372])).
65.67/9.77	tff(f6372,plain,(
65.67/9.77	  spl108_206 <=> sK7 = sK10),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_206])])).
65.67/9.77	tff(f4784,plain,(
65.67/9.77	  spl108_123 <=> sK10 = sK12),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_123])])).
65.67/9.77	tff(f5822,plain,(
65.67/9.77	  spl108_178 <=> sK7 = sK12),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_178])])).
65.67/9.77	tff(f6224,plain,(
65.67/9.77	  sK7 != sK10 | (spl108_123 | ~spl108_178)),
65.67/9.77	  inference(forward_demodulation,[],[f4786,f5824])).
65.67/9.77	tff(f5824,plain,(
65.67/9.77	  sK7 = sK12 | ~spl108_178),
65.67/9.77	  inference(avatar_component_clause,[],[f5822])).
65.67/9.77	tff(f4786,plain,(
65.67/9.77	  sK10 != sK12 | spl108_123),
65.67/9.77	  inference(avatar_component_clause,[],[f4784])).
65.67/9.77	tff(f6303,plain,(
65.67/9.77	  spl108_205 | ~spl108_38 | ~spl108_178),
65.67/9.77	  inference(avatar_split_clause,[],[f6227,f5822,f1437,f6300])).
65.67/9.77	tff(f6300,plain,(
65.67/9.77	  spl108_205 <=> sF94 = weight(sK7,sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_205])])).
65.67/9.77	tff(f1437,plain,(
65.67/9.77	  spl108_38 <=> weight(sK12,sK10) = sF94),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_38])])).
65.67/9.77	tff(f6227,plain,(
65.67/9.77	  sF94 = weight(sK7,sK10) | (~spl108_38 | ~spl108_178)),
65.67/9.77	  inference(forward_demodulation,[],[f1439,f5824])).
65.67/9.77	tff(f1439,plain,(
65.67/9.77	  weight(sK12,sK10) = sF94 | ~spl108_38),
65.67/9.77	  inference(avatar_component_clause,[],[f1437])).
65.67/9.77	tff(f6298,plain,(
65.67/9.77	  spl108_204 | ~spl108_41 | ~spl108_178),
65.67/9.77	  inference(avatar_split_clause,[],[f6226,f5822,f1452,f6295])).
65.67/9.77	tff(f6295,plain,(
65.67/9.77	  spl108_204 <=> sF96 = tuple22(sK7,sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_204])])).
65.67/9.77	tff(f1452,plain,(
65.67/9.77	  spl108_41 <=> tuple22(sK12,sK10) = sF96),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_41])])).
65.67/9.77	tff(f6226,plain,(
65.67/9.77	  sF96 = tuple22(sK7,sK10) | (~spl108_41 | ~spl108_178)),
65.67/9.77	  inference(forward_demodulation,[],[f1454,f5824])).
65.67/9.77	tff(f1454,plain,(
65.67/9.77	  tuple22(sK12,sK10) = sF96 | ~spl108_41),
65.67/9.77	  inference(avatar_component_clause,[],[f1452])).
65.67/9.77	tff(f6293,plain,(
65.67/9.77	  spl108_203 | ~spl108_63 | ~spl108_178),
65.67/9.77	  inference(avatar_split_clause,[],[f6225,f5822,f1616,f6290])).
65.67/9.77	tff(f6290,plain,(
65.67/9.77	  spl108_203 <=> edge(sK7,sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_203])])).
65.67/9.77	tff(f1616,plain,(
65.67/9.77	  spl108_63 <=> edge(sK12,sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_63])])).
65.67/9.77	tff(f6225,plain,(
65.67/9.77	  edge(sK7,sK10) | (~spl108_63 | ~spl108_178)),
65.67/9.77	  inference(forward_demodulation,[],[f1617,f5824])).
65.67/9.77	tff(f1617,plain,(
65.67/9.77	  edge(sK12,sK10) | ~spl108_63),
65.67/9.77	  inference(avatar_component_clause,[],[f1616])).
65.67/9.77	tff(f6268,plain,(
65.67/9.77	  spl108_173 | ~spl108_188 | ~spl108_195 | spl108_200),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6267])).
65.67/9.77	tff(f6267,plain,(
65.67/9.77	  $false | (spl108_173 | ~spl108_188 | ~spl108_195 | spl108_200)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f5798,plain,(
65.67/9.77	  sK6 != remove2(sF96,sK3) | spl108_173),
65.67/9.77	  inference(avatar_component_clause,[],[f5797])).
65.67/9.77	tff(f5797,plain,(
65.67/9.77	  spl108_173 <=> sK6 = remove2(sF96,sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_173])])).
65.67/9.77	tff(f6154,plain,(
65.67/9.77	  sK6 = remove2(sF96,sK3) | (~spl108_188 | ~spl108_195)),
65.67/9.77	  inference(forward_demodulation,[],[f6001,f6028])).
65.67/9.77	tff(f6028,plain,(
65.67/9.77	  sK6 = remove2(sF96,sK6) | ~spl108_195),
65.67/9.77	  inference(avatar_component_clause,[],[f6026])).
65.67/9.77	tff(f6026,plain,(
65.67/9.77	  spl108_195 <=> sK6 = remove2(sF96,sK6)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_195])])).
65.67/9.77	tff(f6266,plain,(
65.67/9.77	  spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6265])).
65.67/9.77	tff(f6265,plain,(
65.67/9.77	  $false | (spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6264,plain,(
65.67/9.77	  spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6263])).
65.67/9.77	tff(f6263,plain,(
65.67/9.77	  $false | (spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6262,plain,(
65.67/9.77	  spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6261])).
65.67/9.77	tff(f6261,plain,(
65.67/9.77	  $false | (spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6260,plain,(
65.67/9.77	  spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6259])).
65.67/9.77	tff(f6259,plain,(
65.67/9.77	  $false | (spl108_173 | ~spl108_188 | ~spl108_195 | ~spl108_196)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6258,plain,(
65.67/9.77	  spl108_173 | spl108_176 | ~spl108_188 | ~spl108_195),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6257])).
65.67/9.77	tff(f6257,plain,(
65.67/9.77	  $false | (spl108_173 | spl108_176 | ~spl108_188 | ~spl108_195)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6256,plain,(
65.67/9.77	  spl108_173 | spl108_175 | ~spl108_188 | ~spl108_195),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6255])).
65.67/9.77	tff(f6255,plain,(
65.67/9.77	  $false | (spl108_173 | spl108_175 | ~spl108_188 | ~spl108_195)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6254,plain,(
65.67/9.77	  spl108_173 | spl108_174 | ~spl108_188 | ~spl108_195),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6253])).
65.67/9.77	tff(f6253,plain,(
65.67/9.77	  $false | (spl108_173 | spl108_174 | ~spl108_188 | ~spl108_195)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6252,plain,(
65.67/9.77	  spl108_173 | ~spl108_188 | ~spl108_195),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6251])).
65.67/9.77	tff(f6251,plain,(
65.67/9.77	  $false | (spl108_173 | ~spl108_188 | ~spl108_195)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6250,plain,(
65.67/9.77	  spl108_157 | spl108_173 | ~spl108_188 | ~spl108_195),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6249])).
65.67/9.77	tff(f6249,plain,(
65.67/9.77	  $false | (spl108_157 | spl108_173 | ~spl108_188 | ~spl108_195)),
65.67/9.77	  inference(global_subsumption,[],[f6154,f5798])).
65.67/9.77	tff(f6248,plain,(
65.67/9.77	  spl108_157 | spl108_176 | ~spl108_196 | ~spl108_200),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6247])).
65.67/9.77	tff(f6247,plain,(
65.67/9.77	  $false | (spl108_157 | spl108_176 | ~spl108_196 | ~spl108_200)),
65.67/9.77	  inference(global_subsumption,[],[f6152,f5813])).
65.67/9.77	tff(f5813,plain,(
65.67/9.77	  sF103 != add2(sF96,sF102) | spl108_176),
65.67/9.77	  inference(avatar_component_clause,[],[f5812])).
65.67/9.77	tff(f5812,plain,(
65.67/9.77	  spl108_176 <=> sF103 = add2(sF96,sF102)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_176])])).
65.67/9.77	tff(f6152,plain,(
65.67/9.77	  sF103 = add2(sF96,sF102) | (~spl108_196 | ~spl108_200)),
65.67/9.77	  inference(forward_demodulation,[],[f6044,f6066])).
65.67/9.77	tff(f6066,plain,(
65.67/9.77	  sF103 = add2(sF96,sF103) | ~spl108_200),
65.67/9.77	  inference(avatar_component_clause,[],[f6064])).
65.67/9.77	tff(f6064,plain,(
65.67/9.77	  spl108_200 <=> sF103 = add2(sF96,sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_200])])).
65.67/9.77	tff(f6246,plain,(
65.67/9.77	  spl108_173 | spl108_176 | ~spl108_196 | ~spl108_200),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6245])).
65.67/9.77	tff(f6245,plain,(
65.67/9.77	  $false | (spl108_173 | spl108_176 | ~spl108_196 | ~spl108_200)),
65.67/9.77	  inference(global_subsumption,[],[f6152,f5813])).
65.67/9.77	tff(f6244,plain,(
65.67/9.77	  spl108_174 | spl108_176 | ~spl108_196 | ~spl108_200),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6243])).
65.67/9.77	tff(f6243,plain,(
65.67/9.77	  $false | (spl108_174 | spl108_176 | ~spl108_196 | ~spl108_200)),
65.67/9.77	  inference(global_subsumption,[],[f6152,f5813])).
65.67/9.77	tff(f6242,plain,(
65.67/9.77	  spl108_175 | spl108_176 | ~spl108_196 | ~spl108_200),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6241])).
65.67/9.77	tff(f6241,plain,(
65.67/9.77	  $false | (spl108_175 | spl108_176 | ~spl108_196 | ~spl108_200)),
65.67/9.77	  inference(global_subsumption,[],[f6152,f5813])).
65.67/9.77	tff(f6240,plain,(
65.67/9.77	  spl108_176 | ~spl108_196 | ~spl108_200),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6239])).
65.67/9.77	tff(f6239,plain,(
65.67/9.77	  $false | (spl108_176 | ~spl108_196 | ~spl108_200)),
65.67/9.77	  inference(global_subsumption,[],[f6152,f5813])).
65.67/9.77	tff(f6150,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6149])).
65.67/9.77	tff(f6149,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6126,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~$less(sF95,sK11) | ~path(s,sK13,sK7) | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_179)),
65.67/9.77	  inference(forward_demodulation,[],[f6125,f1344])).
65.67/9.77	tff(f6125,plain,(
65.67/9.77	  ~$less(sF95,sK11) | ~path(s,sK13,sK7) | ~$less(length1(sK13),sK1) | (spl108_21 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_179)),
65.67/9.77	  inference(forward_demodulation,[],[f6103,f1449])).
65.67/9.77	tff(f6103,plain,(
65.67/9.77	  ~$less($sum(sF93,sF94),sK11) | ~path(s,sK13,sK7) | ~$less(length1(sK13),sK1) | (spl108_21 | ~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_179)),
65.67/9.77	  inference(superposition,[],[f5782,f5829])).
65.67/9.77	tff(f5782,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less($sum(path_weight(X0,sK7),sF94),sK11) | ~path(s,X0,sK7) | ~$less(length1(X0),sK1)) ) | (spl108_21 | ~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(forward_demodulation,[],[f5768,f5745])).
65.67/9.77	tff(f5745,plain,(
65.67/9.77	  sK7 = sK12 | (~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4963,f5711])).
65.67/9.77	tff(f5711,plain,(
65.67/9.77	  sK7 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF96))) | (~spl108_46 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4968,f5692])).
65.67/9.77	tff(f5692,plain,(
65.67/9.77	  sF96 = sF101 | (~spl108_46 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(subsumption_resolution,[],[f5360,f5297])).
65.67/9.77	tff(f5297,plain,(
65.67/9.77	  ~mem2(sF96,sF102) | spl108_152),
65.67/9.77	  inference(avatar_component_clause,[],[f5296])).
65.67/9.77	tff(f5296,plain,(
65.67/9.77	  spl108_152 <=> mem2(sF96,sF102)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_152])])).
65.67/9.77	tff(f5360,plain,(
65.67/9.77	  sF96 = sF101 | mem2(sF96,sF102) | (~spl108_46 | ~spl108_157)),
65.67/9.77	  inference(resolution,[],[f5352,f1944])).
65.67/9.77	tff(f1944,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp] : (~mem2(X0,sF103) | sF101 = X0 | mem2(X0,sF102)) ) | ~spl108_46),
65.67/9.77	  inference(superposition,[],[f1025,f1479])).
65.67/9.77	tff(f1479,plain,(
65.67/9.77	  add2(sF101,sF102) = sF103 | ~spl108_46),
65.67/9.77	  inference(avatar_component_clause,[],[f1477])).
65.67/9.77	tff(f1477,plain,(
65.67/9.77	  spl108_46 <=> add2(sF101,sF102) = sF103),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_46])])).
65.67/9.77	tff(f5352,plain,(
65.67/9.77	  mem2(sF96,sF103) | ~spl108_157),
65.67/9.77	  inference(avatar_component_clause,[],[f5350])).
65.67/9.77	tff(f5350,plain,(
65.67/9.77	  spl108_157 <=> mem2(sF96,sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_157])])).
65.67/9.77	tff(f4968,plain,(
65.67/9.77	  sK7 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF101))) | ~spl108_138),
65.67/9.77	  inference(avatar_component_clause,[],[f4966])).
65.67/9.77	tff(f4966,plain,(
65.67/9.77	  spl108_138 <=> sK7 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF101)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_138])])).
65.67/9.77	tff(f4963,plain,(
65.67/9.77	  sK12 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF96))) | ~spl108_137),
65.67/9.77	  inference(avatar_component_clause,[],[f4961])).
65.67/9.77	tff(f4961,plain,(
65.67/9.77	  spl108_137 <=> sK12 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF96)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_137])])).
65.67/9.77	tff(f5768,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~path(s,X0,sK7) | ~$less($sum(path_weight(X0,sK12),sF94),sK11) | ~$less(length1(X0),sK1)) ) | (spl108_21 | ~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f5691,f5745])).
65.67/9.77	tff(f5691,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less($sum(path_weight(X0,sK12),sF94),sK11) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12)) ) | (spl108_21 | ~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_79 | ~spl108_157)),
65.67/9.77	  inference(global_subsumption,[],[f5352,f3566])).
65.67/9.77	tff(f3566,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF103) | ~$less($sum(path_weight(X0,sK12),sF94),sK11) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12)) ) | (spl108_21 | ~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_79)),
65.67/9.77	  inference(global_subsumption,[],[f742,f1329,f3565])).
65.67/9.77	tff(f3565,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (infinite = sF99 | ~mem2(sF96,sF103) | ~$less($sum(path_weight(X0,sK12),sF94),sK11) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12) | ~mem1(sK10,vertices)) ) | (~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_79)),
65.67/9.77	  inference(forward_demodulation,[],[f3564,f1464])).
65.67/9.77	tff(f1464,plain,(
65.67/9.77	  get1(sK9,sK10) = sF99 | ~spl108_43),
65.67/9.77	  inference(avatar_component_clause,[],[f1462])).
65.67/9.77	tff(f1462,plain,(
65.67/9.77	  spl108_43 <=> get1(sK9,sK10) = sF99),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_43])])).
65.67/9.77	tff(f3564,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF103) | ~$less($sum(path_weight(X0,sK12),sF94),sK11) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12) | infinite = get1(sK9,sK10) | ~mem1(sK10,vertices)) ) | (~spl108_38 | ~spl108_41 | ~spl108_79)),
65.67/9.77	  inference(forward_demodulation,[],[f3563,f1454])).
65.67/9.77	tff(f3563,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less($sum(path_weight(X0,sK12),sF94),sK11) | ~mem2(tuple22(sK12,sK10),sF103) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12) | infinite = get1(sK9,sK10) | ~mem1(sK10,vertices)) ) | (~spl108_38 | ~spl108_79)),
65.67/9.77	  inference(forward_demodulation,[],[f3544,f2077])).
65.67/9.77	tff(f2077,plain,(
65.67/9.77	  sK11 = sK14(sK10) | ~spl108_79),
65.67/9.77	  inference(avatar_component_clause,[],[f2075])).
65.67/9.77	tff(f2075,plain,(
65.67/9.77	  spl108_79 <=> sK11 = sK14(sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_79])])).
65.67/9.77	tff(f3544,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less($sum(path_weight(X0,sK12),sF94),sK14(sK10)) | ~mem2(tuple22(sK12,sK10),sF103) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12) | infinite = get1(sK9,sK10) | ~mem1(sK10,vertices)) ) | ~spl108_38),
65.67/9.77	  inference(superposition,[],[f1160,f1439])).
65.67/9.77	tff(f742,plain,(
65.67/9.77	  mem1(sK10,vertices)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f6148,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6147])).
65.67/9.77	tff(f6147,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6146,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6145])).
65.67/9.77	tff(f6145,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6144,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6143])).
65.67/9.77	tff(f6143,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6142,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6141])).
65.67/9.77	tff(f6141,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6140,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6139])).
65.67/9.77	tff(f6139,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6138,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6137])).
65.67/9.77	tff(f6137,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6136,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6135])).
65.67/9.77	tff(f6135,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6134,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6133])).
65.67/9.77	tff(f6133,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6132,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6131])).
65.67/9.77	tff(f6131,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6130,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6129])).
65.67/9.77	tff(f6129,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6128,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f6127])).
65.67/9.77	tff(f6127,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | ~spl108_172 | ~spl108_179)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f5793,f6126])).
65.67/9.77	tff(f6099,plain,(
65.67/9.77	  spl108_201 | spl108_202 | ~spl108_43 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5731,f5350,f5296,f4956,f4951,f1477,f1462,f6097,f6094])).
65.67/9.77	tff(f4951,plain,(
65.67/9.77	  spl108_135 <=> sK10 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF96)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_135])])).
65.67/9.77	tff(f4956,plain,(
65.67/9.77	  spl108_136 <=> sK8 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF101)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_136])])).
65.67/9.77	tff(f5731,plain,(
65.67/9.77	  ( ! [X46 : set_lpvertexcm_vertexrp,X44 : $int,X45 : $int] : (path(s,sK81(sK8,X44),sK8) | sF99 != finite(X44) | ~inv1(sK9,X45,X46)) ) | (~spl108_43 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f2927,f5723])).
65.67/9.77	tff(f5723,plain,(
65.67/9.77	  sK8 = sK10 | (~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4953,f5710])).
65.67/9.77	tff(f5710,plain,(
65.67/9.77	  sK8 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF96))) | (~spl108_46 | ~spl108_136 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4958,f5692])).
65.67/9.77	tff(f4958,plain,(
65.67/9.77	  sK8 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF101))) | ~spl108_136),
65.67/9.77	  inference(avatar_component_clause,[],[f4956])).
65.67/9.77	tff(f4953,plain,(
65.67/9.77	  sK10 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF96))) | ~spl108_135),
65.67/9.77	  inference(avatar_component_clause,[],[f4951])).
65.67/9.77	tff(f2927,plain,(
65.67/9.77	  ( ! [X46 : set_lpvertexcm_vertexrp,X44 : $int,X45 : $int] : (sF99 != finite(X44) | path(s,sK81(sK10,X44),sK10) | ~inv1(sK9,X45,X46)) ) | ~spl108_43),
65.67/9.77	  inference(global_subsumption,[],[f742,f2911])).
65.67/9.77	tff(f2911,plain,(
65.67/9.77	  ( ! [X46 : set_lpvertexcm_vertexrp,X44 : $int,X45 : $int] : (sF99 != finite(X44) | path(s,sK81(sK10,X44),sK10) | ~mem1(sK10,vertices) | ~inv1(sK9,X45,X46)) ) | ~spl108_43),
65.67/9.77	  inference(superposition,[],[f946,f1464])).
65.67/9.77	tff(f6067,plain,(
65.67/9.77	  spl108_200 | ~spl108_46 | spl108_152 | ~spl108_157 | ~spl108_159),
65.67/9.77	  inference(avatar_split_clause,[],[f5720,f5373,f5350,f5296,f1477,f6064])).
65.67/9.77	tff(f5373,plain,(
65.67/9.77	  spl108_159 <=> sF103 = add2(sF101,sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_159])])).
65.67/9.77	tff(f5720,plain,(
65.67/9.77	  sF103 = add2(sF96,sF103) | (~spl108_46 | spl108_152 | ~spl108_157 | ~spl108_159)),
65.67/9.77	  inference(backward_demodulation,[],[f5375,f5692])).
65.67/9.77	tff(f5375,plain,(
65.67/9.77	  sF103 = add2(sF101,sF103) | ~spl108_159),
65.67/9.77	  inference(avatar_component_clause,[],[f5373])).
65.67/9.77	tff(f6062,plain,(
65.67/9.77	  spl108_199 | ~spl108_46 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5711,f5350,f5296,f4966,f1477,f6059])).
65.67/9.77	tff(f6059,plain,(
65.67/9.77	  spl108_199 <=> sK7 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF96)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_199])])).
65.67/9.77	tff(f6057,plain,(
65.67/9.77	  spl108_198 | ~spl108_46 | ~spl108_136 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5710,f5350,f5296,f4956,f1477,f6054])).
65.67/9.77	tff(f6054,plain,(
65.67/9.77	  spl108_198 <=> sK8 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF96)))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_198])])).
65.67/9.77	tff(f6052,plain,(
65.67/9.77	  spl108_197 | ~spl108_46 | ~spl108_144 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5714,f5350,f5296,f5110,f1477,f6049])).
65.67/9.77	tff(f6049,plain,(
65.67/9.77	  spl108_197 <=> sK3 = add2(sF96,sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_197])])).
65.67/9.77	tff(f5110,plain,(
65.67/9.77	  spl108_144 <=> sK3 = add2(sF101,sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_144])])).
65.67/9.77	tff(f5714,plain,(
65.67/9.77	  sK3 = add2(sF96,sK3) | (~spl108_46 | ~spl108_144 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f5112,f5692])).
65.67/9.77	tff(f5112,plain,(
65.67/9.77	  sK3 = add2(sF101,sK3) | ~spl108_144),
65.67/9.77	  inference(avatar_component_clause,[],[f5110])).
65.67/9.77	tff(f6034,plain,(
65.67/9.77	  spl108_196 | ~spl108_46 | ~spl108_122 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5705,f5350,f5296,f4779,f1477,f6031])).
65.67/9.77	tff(f4779,plain,(
65.67/9.77	  spl108_122 <=> remove2(sF101,sF102) = remove2(sF101,sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_122])])).
65.67/9.77	tff(f5705,plain,(
65.67/9.77	  remove2(sF96,sF102) = remove2(sF96,sF103) | (~spl108_46 | ~spl108_122 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4781,f5692])).
65.67/9.77	tff(f4781,plain,(
65.67/9.77	  remove2(sF101,sF102) = remove2(sF101,sF103) | ~spl108_122),
65.67/9.77	  inference(avatar_component_clause,[],[f4779])).
65.67/9.77	tff(f6029,plain,(
65.67/9.77	  spl108_195 | ~spl108_46 | ~spl108_73 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5702,f5350,f5296,f1837,f1477,f6026])).
65.67/9.77	tff(f1837,plain,(
65.67/9.77	  spl108_73 <=> sK6 = remove2(sF101,sK6)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_73])])).
65.67/9.77	tff(f5702,plain,(
65.67/9.77	  sK6 = remove2(sF96,sK6) | (~spl108_46 | ~spl108_73 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1839,f5692])).
65.67/9.77	tff(f1839,plain,(
65.67/9.77	  sK6 = remove2(sF101,sK6) | ~spl108_73),
65.67/9.77	  inference(avatar_component_clause,[],[f1837])).
65.67/9.77	tff(f5999,plain,(
65.67/9.77	  ~spl108_194 | ~spl108_46 | spl108_118 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5764,f5350,f5296,f4966,f4961,f4748,f1477,f5996])).
65.67/9.77	tff(f5996,plain,(
65.67/9.77	  spl108_194 <=> infinite = get1(sK9,sK7)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_194])])).
65.67/9.77	tff(f4748,plain,(
65.67/9.77	  spl108_118 <=> infinite = get1(sK9,sK12)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_118])])).
65.67/9.77	tff(f5764,plain,(
65.67/9.77	  infinite != get1(sK9,sK7) | (~spl108_46 | spl108_118 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4749,f5745])).
65.67/9.77	tff(f4749,plain,(
65.67/9.77	  infinite != get1(sK9,sK12) | spl108_118),
65.67/9.77	  inference(avatar_component_clause,[],[f4748])).
65.67/9.77	tff(f5994,plain,(
65.67/9.77	  ~spl108_193 | ~spl108_46 | spl108_115 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5761,f5350,f5296,f4966,f4961,f4726,f1477,f5991])).
65.67/9.77	tff(f5991,plain,(
65.67/9.77	  spl108_193 <=> infinite = get1(sK4,sK7)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_193])])).
65.67/9.77	tff(f4726,plain,(
65.67/9.77	  spl108_115 <=> infinite = get1(sK4,sK12)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_115])])).
65.67/9.77	tff(f5761,plain,(
65.67/9.77	  infinite != get1(sK4,sK7) | (~spl108_46 | spl108_115 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4727,f5745])).
65.67/9.77	tff(f4727,plain,(
65.67/9.77	  infinite != get1(sK4,sK12) | spl108_115),
65.67/9.77	  inference(avatar_component_clause,[],[f4726])).
65.67/9.77	tff(f5983,plain,(
65.67/9.77	  ~spl108_192 | ~spl108_46 | spl108_113 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5759,f5350,f5296,f4966,f4961,f4714,f1477,f5980])).
65.67/9.77	tff(f5980,plain,(
65.67/9.77	  spl108_192 <=> infinite = get1(sK0,sK7)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_192])])).
65.67/9.77	tff(f4714,plain,(
65.67/9.77	  spl108_113 <=> infinite = get1(sK0,sK12)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_113])])).
65.67/9.77	tff(f5759,plain,(
65.67/9.77	  infinite != get1(sK0,sK7) | (~spl108_46 | spl108_113 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4715,f5745])).
65.67/9.77	tff(f4715,plain,(
65.67/9.77	  infinite != get1(sK0,sK12) | spl108_113),
65.67/9.77	  inference(avatar_component_clause,[],[f4714])).
65.67/9.77	tff(f5978,plain,(
65.67/9.77	  spl108_191 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_156 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5739,f5350,f5344,f5296,f4956,f4951,f1477,f5975])).
65.67/9.77	tff(f5975,plain,(
65.67/9.77	  spl108_191 <=> path(s,sK21(sK8),sK8)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_191])])).
65.67/9.77	tff(f5344,plain,(
65.67/9.77	  spl108_156 <=> path(s,sK21(sK10),sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_156])])).
65.67/9.77	tff(f5739,plain,(
65.67/9.77	  path(s,sK21(sK8),sK8) | (~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_156 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f5346,f5723])).
65.67/9.77	tff(f5346,plain,(
65.67/9.77	  path(s,sK21(sK10),sK10) | ~spl108_156),
65.67/9.77	  inference(avatar_component_clause,[],[f5344])).
65.67/9.77	tff(f5973,plain,(
65.67/9.77	  spl108_190 | ~spl108_46 | ~spl108_79 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5729,f5350,f5296,f4956,f4951,f2075,f1477,f5970])).
65.67/9.77	tff(f5729,plain,(
65.67/9.77	  sK11 = sK14(sK8) | (~spl108_46 | ~spl108_79 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f2077,f5723])).
65.67/9.77	tff(f5968,plain,(
65.67/9.77	  spl108_189 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_154 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5738,f5350,f5313,f5296,f4956,f4951,f1477,f5965])).
65.67/9.77	tff(f5965,plain,(
65.67/9.77	  spl108_189 <=> path(s,sK17(sK8),sK8)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_189])])).
65.67/9.77	tff(f5313,plain,(
65.67/9.77	  spl108_154 <=> path(s,sK17(sK10),sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_154])])).
65.67/9.77	tff(f5738,plain,(
65.67/9.77	  path(s,sK17(sK8),sK8) | (~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_154 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f5315,f5723])).
65.67/9.77	tff(f5315,plain,(
65.67/9.77	  path(s,sK17(sK10),sK10) | ~spl108_154),
65.67/9.77	  inference(avatar_component_clause,[],[f5313])).
65.67/9.77	tff(f5963,plain,(
65.67/9.77	  spl108_188 | ~spl108_46 | ~spl108_72 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5701,f5350,f5296,f1820,f1477,f5960])).
65.67/9.77	tff(f5701,plain,(
65.67/9.77	  sK3 = add2(sF96,sK6) | (~spl108_46 | ~spl108_72 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1822,f5692])).
65.67/9.77	tff(f5957,plain,(
65.67/9.77	  spl108_187 | ~spl108_46 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5692,f5350,f5296,f1477,f5954])).
65.67/9.77	tff(f5952,plain,(
65.67/9.77	  ~spl108_186 | ~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | spl108_164),
65.67/9.77	  inference(avatar_split_clause,[],[f5767,f5545,f5350,f5296,f4966,f4961,f1477,f5949])).
65.67/9.77	tff(f5949,plain,(
65.67/9.77	  spl108_186 <=> path(sK7,sK13,sK7)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_186])])).
65.67/9.77	tff(f5545,plain,(
65.67/9.77	  spl108_164 <=> path(sK12,sK13,sK12)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_164])])).
65.67/9.77	tff(f5767,plain,(
65.67/9.77	  ~path(sK7,sK13,sK7) | (~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157 | spl108_164)),
65.67/9.77	  inference(backward_demodulation,[],[f5547,f5745])).
65.67/9.77	tff(f5547,plain,(
65.67/9.77	  ~path(sK12,sK13,sK12) | spl108_164),
65.67/9.77	  inference(avatar_component_clause,[],[f5545])).
65.67/9.77	tff(f5946,plain,(
65.67/9.77	  ~spl108_185 | ~spl108_46 | spl108_119 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5765,f5350,f5296,f4966,f4961,f4752,f1477,f5943])).
65.67/9.77	tff(f5943,plain,(
65.67/9.77	  spl108_185 <=> $less(sF93,sK14(sK7))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_185])])).
65.67/9.77	tff(f4752,plain,(
65.67/9.77	  spl108_119 <=> $less(sF93,sK14(sK12))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_119])])).
65.67/9.77	tff(f5765,plain,(
65.67/9.77	  ~$less(sF93,sK14(sK7)) | (~spl108_46 | spl108_119 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4754,f5745])).
65.67/9.77	tff(f4754,plain,(
65.67/9.77	  ~$less(sF93,sK14(sK12)) | spl108_119),
65.67/9.77	  inference(avatar_component_clause,[],[f4752])).
65.67/9.77	tff(f5941,plain,(
65.67/9.77	  ~spl108_184 | ~spl108_46 | spl108_117 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5763,f5350,f5296,f4966,f4961,f4736,f1477,f5938])).
65.67/9.77	tff(f5938,plain,(
65.67/9.77	  spl108_184 <=> $less(sF93,sK16(sK7))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_184])])).
65.67/9.77	tff(f4736,plain,(
65.67/9.77	  spl108_117 <=> $less(sF93,sK16(sK12))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_117])])).
65.67/9.77	tff(f5763,plain,(
65.67/9.77	  ~$less(sF93,sK16(sK7)) | (~spl108_46 | spl108_117 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4738,f5745])).
65.67/9.77	tff(f4738,plain,(
65.67/9.77	  ~$less(sF93,sK16(sK12)) | spl108_117),
65.67/9.77	  inference(avatar_component_clause,[],[f4736])).
65.67/9.77	tff(f5936,plain,(
65.67/9.77	  ~spl108_183 | ~spl108_46 | spl108_123 | ~spl108_135 | ~spl108_136 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5772,f5350,f5296,f4966,f4961,f4956,f4951,f4784,f1477,f5933])).
65.67/9.77	tff(f5933,plain,(
65.67/9.77	  spl108_183 <=> sK7 = sK8),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_183])])).
65.67/9.77	tff(f5772,plain,(
65.67/9.77	  sK7 != sK8 | (~spl108_46 | spl108_123 | ~spl108_135 | ~spl108_136 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f5736,f5745])).
65.67/9.77	tff(f5736,plain,(
65.67/9.77	  sK8 != sK12 | (~spl108_46 | spl108_123 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4786,f5723])).
65.67/9.77	tff(f5931,plain,(
65.67/9.77	  ~spl108_182 | ~spl108_46 | spl108_116 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5762,f5350,f5296,f4966,f4961,f4730,f1477,f5928])).
65.67/9.77	tff(f5928,plain,(
65.67/9.77	  spl108_182 <=> $less(sF93,sK20(sK7))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_182])])).
65.67/9.77	tff(f4730,plain,(
65.67/9.77	  spl108_116 <=> $less(sF93,sK20(sK12))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_116])])).
65.67/9.77	tff(f5762,plain,(
65.67/9.77	  ~$less(sF93,sK20(sK7)) | (~spl108_46 | spl108_116 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4732,f5745])).
65.67/9.77	tff(f4732,plain,(
65.67/9.77	  ~$less(sF93,sK20(sK12)) | spl108_116),
65.67/9.77	  inference(avatar_component_clause,[],[f4730])).
65.67/9.77	tff(f5926,plain,(
65.67/9.77	  ~spl108_181 | ~spl108_46 | spl108_114 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5760,f5350,f5296,f4966,f4961,f4718,f1477,f5923])).
65.67/9.77	tff(f5923,plain,(
65.67/9.77	  spl108_181 <=> $less(sF93,sK22(sK7))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_181])])).
65.67/9.77	tff(f4718,plain,(
65.67/9.77	  spl108_114 <=> $less(sF93,sK22(sK12))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_114])])).
65.67/9.77	tff(f5760,plain,(
65.67/9.77	  ~$less(sF93,sK22(sK7)) | (~spl108_46 | spl108_114 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f4720,f5745])).
65.67/9.77	tff(f4720,plain,(
65.67/9.77	  ~$less(sF93,sK22(sK12)) | spl108_114),
65.67/9.77	  inference(avatar_component_clause,[],[f4718])).
65.67/9.77	tff(f5835,plain,(
65.67/9.77	  spl108_180 | ~spl108_38 | ~spl108_46 | ~spl108_135 | ~spl108_136 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5769,f5350,f5296,f4966,f4961,f4956,f4951,f1477,f1437,f5832])).
65.67/9.77	tff(f5769,plain,(
65.67/9.77	  sF94 = weight(sK7,sK8) | (~spl108_38 | ~spl108_46 | ~spl108_135 | ~spl108_136 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f5725,f5745])).
65.67/9.77	tff(f5725,plain,(
65.67/9.77	  sF94 = weight(sK12,sK8) | (~spl108_38 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1439,f5723])).
65.67/9.77	tff(f5830,plain,(
65.67/9.77	  spl108_179 | ~spl108_37 | ~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5747,f5350,f5296,f4966,f4961,f1477,f1432,f5827])).
65.67/9.77	tff(f1432,plain,(
65.67/9.77	  spl108_37 <=> path_weight(sK13,sK12) = sF93),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_37])])).
65.67/9.77	tff(f5747,plain,(
65.67/9.77	  sF93 = path_weight(sK13,sK7) | (~spl108_37 | ~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1434,f5745])).
65.67/9.77	tff(f1434,plain,(
65.67/9.77	  path_weight(sK13,sK12) = sF93 | ~spl108_37),
65.67/9.77	  inference(avatar_component_clause,[],[f1432])).
65.67/9.77	tff(f5825,plain,(
65.67/9.77	  spl108_178 | ~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5745,f5350,f5296,f4966,f4961,f1477,f5822])).
65.67/9.77	tff(f5820,plain,(
65.67/9.77	  spl108_177 | ~spl108_43 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5727,f5350,f5296,f4956,f4951,f1477,f1462,f5817])).
65.67/9.77	tff(f5727,plain,(
65.67/9.77	  sF99 = get1(sK9,sK8) | (~spl108_43 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1464,f5723])).
65.67/9.77	tff(f5815,plain,(
65.67/9.77	  spl108_176 | ~spl108_46 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5699,f5350,f5296,f1477,f5812])).
65.67/9.77	tff(f5699,plain,(
65.67/9.77	  sF103 = add2(sF96,sF102) | (~spl108_46 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1479,f5692])).
65.67/9.77	tff(f5810,plain,(
65.67/9.77	  spl108_175 | ~spl108_46 | ~spl108_135 | ~spl108_136 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5723,f5350,f5296,f4956,f4951,f1477,f5807])).
65.67/9.77	tff(f5807,plain,(
65.67/9.77	  spl108_175 <=> sK8 = sK10),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_175])])).
65.67/9.77	tff(f5805,plain,(
65.67/9.77	  spl108_174 | ~spl108_44 | ~spl108_46 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5698,f5350,f5296,f1477,f1467,f5802])).
65.67/9.77	tff(f5698,plain,(
65.67/9.77	  tuple22(sK7,sK8) = sF96 | (~spl108_44 | ~spl108_46 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1469,f5692])).
65.67/9.77	tff(f5800,plain,(
65.67/9.77	  spl108_173 | ~spl108_19 | ~spl108_46 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5696,f5350,f5296,f1477,f1309,f5797])).
65.67/9.77	tff(f1309,plain,(
65.67/9.77	  spl108_19 <=> sK6 = remove2(sF101,sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_19])])).
65.67/9.77	tff(f5696,plain,(
65.67/9.77	  sK6 = remove2(sF96,sK3) | (~spl108_19 | ~spl108_46 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1311,f5692])).
65.67/9.77	tff(f1311,plain,(
65.67/9.77	  sK6 = remove2(sF101,sK3) | ~spl108_19),
65.67/9.77	  inference(avatar_component_clause,[],[f1309])).
65.67/9.77	tff(f5794,plain,(
65.67/9.77	  spl108_172 | ~spl108_17 | ~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5746,f5350,f5296,f4966,f4961,f1477,f1299,f5791])).
65.67/9.77	tff(f1299,plain,(
65.67/9.77	  spl108_17 <=> path(s,sK13,sK12)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_17])])).
65.67/9.77	tff(f5746,plain,(
65.67/9.77	  path(s,sK13,sK7) | (~spl108_17 | ~spl108_46 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1301,f5745])).
65.67/9.77	tff(f1301,plain,(
65.67/9.77	  path(s,sK13,sK12) | ~spl108_17),
65.67/9.77	  inference(avatar_component_clause,[],[f1299])).
65.67/9.77	tff(f5789,plain,(
65.67/9.77	  ~spl108_171 | ~spl108_46 | spl108_62 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157),
65.67/9.77	  inference(avatar_split_clause,[],[f5749,f5350,f5296,f4966,f4961,f1590,f1477,f5786])).
65.67/9.77	tff(f5786,plain,(
65.67/9.77	  spl108_171 <=> negative_cycle(sK7)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_171])])).
65.67/9.77	tff(f1590,plain,(
65.67/9.77	  spl108_62 <=> negative_cycle(sK12)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_62])])).
65.67/9.77	tff(f5749,plain,(
65.67/9.77	  ~negative_cycle(sK7) | (~spl108_46 | spl108_62 | ~spl108_137 | ~spl108_138 | spl108_152 | ~spl108_157)),
65.67/9.77	  inference(backward_demodulation,[],[f1592,f5745])).
65.67/9.77	tff(f1592,plain,(
65.67/9.77	  ~negative_cycle(sK12) | spl108_62),
65.67/9.77	  inference(avatar_component_clause,[],[f1590])).
65.67/9.77	tff(f5690,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5689])).
65.67/9.77	tff(f5689,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5666,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~$less(sF95,sK11) | ~path(s,sK13,sK12) | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(forward_demodulation,[],[f5665,f1344])).
65.67/9.77	tff(f5665,plain,(
65.67/9.77	  ~$less(sF95,sK11) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK12) | (spl108_21 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(forward_demodulation,[],[f5643,f1449])).
65.67/9.77	tff(f5643,plain,(
65.67/9.77	  ~$less($sum(sF93,sF94),sK11) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK12) | (spl108_21 | ~spl108_37 | ~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(superposition,[],[f5341,f1434])).
65.67/9.77	tff(f5341,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less($sum(path_weight(X0,sK12),sF94),sK11) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12)) ) | (spl108_21 | ~spl108_38 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f5326,f3566])).
65.67/9.77	tff(f5326,plain,(
65.67/9.77	  mem2(sF96,sF103) | (~spl108_46 | ~spl108_152)),
65.67/9.77	  inference(resolution,[],[f5298,f1655])).
65.67/9.77	tff(f1655,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp] : (~mem2(X0,sF102) | mem2(X0,sF103)) ) | ~spl108_46),
65.67/9.77	  inference(superposition,[],[f1027,f1479])).
65.67/9.77	tff(f1027,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (mem2(X0,add2(X1,X2)) | ~mem2(X0,X2)) )),
65.67/9.77	  inference(cnf_transformation,[],[f645])).
65.67/9.77	tff(f5298,plain,(
65.67/9.77	  mem2(sF96,sF102) | ~spl108_152),
65.67/9.77	  inference(avatar_component_clause,[],[f5296])).
65.67/9.77	tff(f744,plain,(
65.67/9.77	  path(s,sK13,sK12)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f5688,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5687])).
65.67/9.77	tff(f5687,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5686,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5685])).
65.67/9.77	tff(f5685,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5684,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5683])).
65.67/9.77	tff(f5683,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5682,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5681])).
65.67/9.77	tff(f5681,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5680,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5679])).
65.67/9.77	tff(f5679,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5678,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5677])).
65.67/9.77	tff(f5677,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5676,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5675])).
65.67/9.77	tff(f5675,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5674,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5673])).
65.67/9.77	tff(f5673,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5672,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5671])).
65.67/9.77	tff(f5671,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5670,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5669])).
65.67/9.77	tff(f5669,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5668,plain,(
65.67/9.77	  spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5667])).
65.67/9.77	tff(f5667,plain,(
65.67/9.77	  $false | (spl108_21 | ~spl108_23 | ~spl108_37 | ~spl108_38 | ~spl108_40 | ~spl108_41 | ~spl108_43 | ~spl108_46 | ~spl108_79 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f1144,f1149,f744,f5666])).
65.67/9.77	tff(f5636,plain,(
65.67/9.77	  spl108_170 | spl108_169),
65.67/9.77	  inference(avatar_split_clause,[],[f5631,f5627,f5633])).
65.67/9.77	tff(f5633,plain,(
65.67/9.77	  spl108_170 <=> mem2(sK29(sK3),sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_170])])).
65.67/9.77	tff(f5627,plain,(
65.67/9.77	  spl108_169 <=> is_empty(tuple2(vertex1,vertex1),t2tb4(sK3))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_169])])).
65.67/9.77	tff(f5631,plain,(
65.67/9.77	  mem2(sK29(sK3),sK3) | spl108_169),
65.67/9.77	  inference(resolution,[],[f5628,f831])).
65.67/9.77	tff(f831,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp] : (is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) | mem2(sK29(X0),X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f552])).
65.67/9.77	tff(f552,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : ((is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) | mem2(sK29(X0),X0)) & (! [X2 : lpvertexcm_vertexrp] : ~mem2(X2,X0) | ~is_empty(tuple2(vertex1,vertex1),t2tb4(X0))))),
65.67/9.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f550,f551])).
65.67/9.77	tff(f551,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : (? [X1 : lpvertexcm_vertexrp] : mem2(X1,X0) => mem2(sK29(X0),X0))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f550,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : ((is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) | ? [X1 : lpvertexcm_vertexrp] : mem2(X1,X0)) & (! [X2 : lpvertexcm_vertexrp] : ~mem2(X2,X0) | ~is_empty(tuple2(vertex1,vertex1),t2tb4(X0))))),
65.67/9.77	  inference(rectify,[],[f549])).
65.67/9.77	tff(f549,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : ((is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) | ? [X1 : lpvertexcm_vertexrp] : mem2(X1,X0)) & (! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X0) | ~is_empty(tuple2(vertex1,vertex1),t2tb4(X0))))),
65.67/9.77	  inference(nnf_transformation,[],[f265])).
65.67/9.77	tff(f265,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : (is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) <=> ! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X0))),
65.67/9.77	  inference(rectify,[],[f185])).
65.67/9.77	tff(f185,axiom,(
65.67/9.77	  ! [X2 : set_lpvertexcm_vertexrp] : (is_empty(tuple2(vertex1,vertex1),t2tb4(X2)) <=> ! [X1 : lpvertexcm_vertexrp] : ~mem2(X1,X2))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_empty_def)).
65.67/9.77	tff(f5628,plain,(
65.67/9.77	  ~is_empty(tuple2(vertex1,vertex1),t2tb4(sK3)) | spl108_169),
65.67/9.77	  inference(avatar_component_clause,[],[f5627])).
65.67/9.77	tff(f5630,plain,(
65.67/9.77	  spl108_168 | spl108_169),
65.67/9.77	  inference(avatar_split_clause,[],[f2379,f5627,f5623])).
65.67/9.77	tff(f5623,plain,(
65.67/9.77	  spl108_168 <=> mem2(tb2t6(choose(tuple2(vertex1,vertex1),t2tb4(sK3))),sK2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_168])])).
65.67/9.77	tff(f2379,plain,(
65.67/9.77	  is_empty(tuple2(vertex1,vertex1),t2tb4(sK3)) | mem2(tb2t6(choose(tuple2(vertex1,vertex1),t2tb4(sK3))),sK2)),
65.67/9.77	  inference(resolution,[],[f815,f1102])).
65.67/9.77	tff(f1102,plain,(
65.67/9.77	  ( ! [X35 : lpvertexcm_vertexrp] : (~mem2(X35,sK3) | mem2(X35,sK2)) )),
65.67/9.77	  inference(definition_unfolding,[],[f702,f686])).
65.67/9.77	tff(f702,plain,(
65.67/9.77	  ( ! [X35 : lpvertexcm_vertexrp] : (mem2(X35,edges) | ~mem2(X35,sK3)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f815,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp] : (mem2(tb2t6(choose(tuple2(vertex1,vertex1),t2tb4(X0))),X0) | is_empty(tuple2(vertex1,vertex1),t2tb4(X0))) )),
65.67/9.77	  inference(cnf_transformation,[],[f417])).
65.67/9.77	tff(f417,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : (mem2(tb2t6(choose(tuple2(vertex1,vertex1),t2tb4(X0))),X0) | is_empty(tuple2(vertex1,vertex1),t2tb4(X0)))),
65.67/9.77	  inference(ennf_transformation,[],[f253])).
65.67/9.77	tff(f253,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : (~is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) => mem2(tb2t6(choose(tuple2(vertex1,vertex1),t2tb4(X0))),X0))),
65.67/9.77	  inference(rectify,[],[f40])).
65.67/9.77	tff(f40,axiom,(
65.67/9.77	  ! [X2 : set_lpvertexcm_vertexrp] : (~is_empty(tuple2(vertex1,vertex1),t2tb4(X2)) => mem2(tb2t6(choose(tuple2(vertex1,vertex1),t2tb4(X2))),X2))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choose_def)).
65.67/9.77	tff(f5621,plain,(
65.67/9.77	  ~spl108_167 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f5531,f1342,f5618])).
65.67/9.77	tff(f5618,plain,(
65.67/9.77	  spl108_167 <=> $less($sum(29,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_167])])).
65.67/9.77	tff(f5531,plain,(
65.67/9.77	  ~$less($sum(29,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f5469,f1344])).
65.67/9.77	tff(f5555,plain,(
65.67/9.77	  ~spl108_164 | spl108_165 | ~spl108_166 | ~spl108_37 | ~spl108_60 | spl108_62),
65.67/9.77	  inference(avatar_split_clause,[],[f2837,f1590,f1579,f1432,f5552,f5549,f5545])).
65.67/9.77	tff(f5549,plain,(
65.67/9.77	  spl108_165 <=> ! [X5 : list_vertex] : ~path(s,X5,sK12)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_165])])).
65.67/9.77	tff(f5552,plain,(
65.67/9.77	  spl108_166 <=> $less(sF93,0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_166])])).
65.67/9.77	tff(f1579,plain,(
65.67/9.77	  spl108_60 <=> mem1(sK12,vertices)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_60])])).
65.67/9.77	tff(f2837,plain,(
65.67/9.77	  ( ! [X5 : list_vertex] : (~$less(sF93,0) | ~path(s,X5,sK12) | ~path(sK12,sK13,sK12)) ) | (~spl108_37 | ~spl108_60 | spl108_62)),
65.67/9.77	  inference(global_subsumption,[],[f1592,f1581,f2814])).
65.67/9.77	tff(f2814,plain,(
65.67/9.77	  ( ! [X5 : list_vertex] : (~$less(sF93,0) | ~mem1(sK12,vertices) | ~path(s,X5,sK12) | negative_cycle(sK12) | ~path(sK12,sK13,sK12)) ) | ~spl108_37),
65.67/9.77	  inference(superposition,[],[f821,f1434])).
65.67/9.77	tff(f821,plain,(
65.67/9.77	  ( ! [X2 : list_vertex,X0 : vertex,X1 : list_vertex] : (~$less(path_weight(X2,X0),0) | ~mem1(X0,vertices) | ~path(s,X1,X0) | negative_cycle(X0) | ~path(X0,X2,X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f545])).
65.67/9.77	tff(f545,plain,(
65.67/9.77	  ! [X0 : vertex] : ((negative_cycle(X0) | ~mem1(X0,vertices) | ! [X1 : list_vertex] : ~path(s,X1,X0) | ! [X2 : list_vertex] : (~$less(path_weight(X2,X0),0) | ~path(X0,X2,X0))) & ((mem1(X0,vertices) & path(s,sK27(X0),X0) & ($less(path_weight(sK28(X0),X0),0) & path(X0,sK28(X0),X0))) | ~negative_cycle(X0)))),
65.67/9.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f542,f544,f543])).
65.67/9.77	tff(f543,plain,(
65.67/9.77	  ! [X0 : vertex] : (? [X3 : list_vertex] : path(s,X3,X0) => path(s,sK27(X0),X0))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f544,plain,(
65.67/9.77	  ! [X0 : vertex] : (? [X4 : list_vertex] : ($less(path_weight(X4,X0),0) & path(X0,X4,X0)) => ($less(path_weight(sK28(X0),X0),0) & path(X0,sK28(X0),X0)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f542,plain,(
65.67/9.77	  ! [X0 : vertex] : ((negative_cycle(X0) | ~mem1(X0,vertices) | ! [X1 : list_vertex] : ~path(s,X1,X0) | ! [X2 : list_vertex] : (~$less(path_weight(X2,X0),0) | ~path(X0,X2,X0))) & ((mem1(X0,vertices) & ? [X3 : list_vertex] : path(s,X3,X0) & ? [X4 : list_vertex] : ($less(path_weight(X4,X0),0) & path(X0,X4,X0))) | ~negative_cycle(X0)))),
65.67/9.77	  inference(rectify,[],[f541])).
65.67/9.77	tff(f541,plain,(
65.67/9.77	  ! [X0 : vertex] : ((negative_cycle(X0) | ~mem1(X0,vertices) | ! [X1 : list_vertex] : ~path(s,X1,X0) | ! [X2 : list_vertex] : (~$less(path_weight(X2,X0),0) | ~path(X0,X2,X0))) & ((mem1(X0,vertices) & ? [X1 : list_vertex] : path(s,X1,X0) & ? [X2 : list_vertex] : ($less(path_weight(X2,X0),0) & path(X0,X2,X0))) | ~negative_cycle(X0)))),
65.67/9.77	  inference(flattening,[],[f540])).
65.67/9.77	tff(f540,plain,(
65.67/9.77	  ! [X0 : vertex] : ((negative_cycle(X0) | (~mem1(X0,vertices) | ! [X1 : list_vertex] : ~path(s,X1,X0) | ! [X2 : list_vertex] : (~$less(path_weight(X2,X0),0) | ~path(X0,X2,X0)))) & ((mem1(X0,vertices) & ? [X1 : list_vertex] : path(s,X1,X0) & ? [X2 : list_vertex] : ($less(path_weight(X2,X0),0) & path(X0,X2,X0))) | ~negative_cycle(X0)))),
65.67/9.77	  inference(nnf_transformation,[],[f255])).
65.67/9.77	tff(f255,plain,(
65.67/9.77	  ! [X0 : vertex] : (negative_cycle(X0) <=> (mem1(X0,vertices) & ? [X1 : list_vertex] : path(s,X1,X0) & ? [X2 : list_vertex] : ($less(path_weight(X2,X0),0) & path(X0,X2,X0))))),
65.67/9.77	  inference(rectify,[],[f73])).
65.67/9.77	tff(f73,axiom,(
65.67/9.77	  ! [X31 : vertex] : (negative_cycle(X31) <=> (mem1(X31,vertices) & ? [X7 : list_vertex] : path(s,X7,X31) & ? [X8 : list_vertex] : ($less(path_weight(X8,X31),0) & path(X31,X8,X31))))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative_cycle_def)).
65.67/9.77	tff(f1581,plain,(
65.67/9.77	  mem1(sK12,vertices) | ~spl108_60),
65.67/9.77	  inference(avatar_component_clause,[],[f1579])).
65.67/9.77	tff(f5492,plain,(
65.67/9.77	  ~spl108_163 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f5465,f1342,f5489])).
65.67/9.77	tff(f5489,plain,(
65.67/9.77	  spl108_163 <=> $less($sum(28,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_163])])).
65.67/9.77	tff(f5465,plain,(
65.67/9.77	  ~$less($sum(28,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f4667,f1344])).
65.67/9.77	tff(f5434,plain,(
65.67/9.77	  spl108_162),
65.67/9.77	  inference(avatar_split_clause,[],[f1879,f5431])).
65.67/9.77	tff(f5431,plain,(
65.67/9.77	  spl108_162 <=> empty(tuple2(vertex1,vertex1)) = t2tb4(tb2t4(empty(tuple2(vertex1,vertex1))))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_162])])).
65.67/9.77	tff(f1879,plain,(
65.67/9.77	  empty(tuple2(vertex1,vertex1)) = t2tb4(tb2t4(empty(tuple2(vertex1,vertex1))))),
65.67/9.77	  inference(resolution,[],[f816,f787])).
65.67/9.77	tff(f787,plain,(
65.67/9.77	  ( ! [X0 : ty] : (sort(set1(X0),empty(X0))) )),
65.67/9.77	  inference(cnf_transformation,[],[f233])).
65.67/9.77	tff(f233,plain,(
65.67/9.77	  ! [X0 : ty] : sort(set1(X0),empty(X0))),
65.67/9.77	  inference(rectify,[],[f106])).
65.67/9.77	tff(f106,axiom,(
65.67/9.77	  ! [X10 : ty] : sort(set1(X10),empty(X10))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_sort)).
65.67/9.77	tff(f5429,plain,(
65.67/9.77	  spl108_161),
65.67/9.77	  inference(avatar_split_clause,[],[f1754,f5426])).
65.67/9.77	tff(f5426,plain,(
65.67/9.77	  spl108_161 <=> witness(tuple2(vertex1,vertex1)) = t2tb6(tb2t6(witness(tuple2(vertex1,vertex1))))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_161])])).
65.67/9.77	tff(f1754,plain,(
65.67/9.77	  witness(tuple2(vertex1,vertex1)) = t2tb6(tb2t6(witness(tuple2(vertex1,vertex1))))),
65.67/9.77	  inference(resolution,[],[f813,f772])).
65.67/9.77	tff(f813,plain,(
65.67/9.77	  ( ! [X0 : uni] : (~sort(tuple2(vertex1,vertex1),X0) | t2tb6(tb2t6(X0)) = X0) )),
65.67/9.77	  inference(cnf_transformation,[],[f414])).
65.67/9.77	tff(f414,plain,(
65.67/9.77	  ! [X0 : uni] : (t2tb6(tb2t6(X0)) = X0 | ~sort(tuple2(vertex1,vertex1),X0))),
65.67/9.77	  inference(ennf_transformation,[],[f251])).
65.67/9.77	tff(f251,plain,(
65.67/9.77	  ! [X0 : uni] : (sort(tuple2(vertex1,vertex1),X0) => t2tb6(tb2t6(X0)) = X0)),
65.67/9.77	  inference(rectify,[],[f172])).
65.67/9.77	tff(f172,axiom,(
65.67/9.77	  ! [X17 : uni] : (sort(tuple2(vertex1,vertex1),X17) => t2tb6(tb2t6(X17)) = X17)),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR6)).
65.67/9.77	tff(f5417,plain,(
65.67/9.77	  ~spl108_160 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f5077,f1342,f5414])).
65.67/9.77	tff(f5414,plain,(
65.67/9.77	  spl108_160 <=> $less($sum(sF98,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_160])])).
65.67/9.77	tff(f5077,plain,(
65.67/9.77	  ~$less($sum(sF98,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f4869,f1344])).
65.67/9.77	tff(f4869,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less($sum(sF98,length1(X0)),0)) ) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2303,f1344])).
65.67/9.77	tff(f2303,plain,(
65.67/9.77	  ( ! [X10 : list_vertex,X11 : list_vertex] : (~$less($sum(length1(X10),length1(X11)),0)) )),
65.67/9.77	  inference(superposition,[],[f768,f857])).
65.67/9.77	tff(f857,plain,(
65.67/9.77	  ( ! [X0 : list_vertex,X1 : list_vertex] : (length1(tb2t3(infix_plpl(vertex1,t2tb3(X0),t2tb3(X1)))) = $sum(length1(X0),length1(X1))) )),
65.67/9.77	  inference(cnf_transformation,[],[f286])).
65.67/9.77	tff(f286,plain,(
65.67/9.77	  ! [X0 : list_vertex,X1 : list_vertex] : length1(tb2t3(infix_plpl(vertex1,t2tb3(X0),t2tb3(X1)))) = $sum(length1(X0),length1(X1))),
65.67/9.77	  inference(rectify,[],[f102])).
65.67/9.77	tff(f102,axiom,(
65.67/9.77	  ! [X7 : list_vertex,X8 : list_vertex] : length1(tb2t3(infix_plpl(vertex1,t2tb3(X7),t2tb3(X8)))) = $sum(length1(X7),length1(X8))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',append_length)).
65.67/9.77	tff(f5376,plain,(
65.67/9.77	  spl108_159 | ~spl108_46 | ~spl108_122),
65.67/9.77	  inference(avatar_split_clause,[],[f5106,f4779,f1477,f5373])).
65.67/9.77	tff(f5106,plain,(
65.67/9.77	  sF103 = add2(sF101,sF103) | (~spl108_46 | ~spl108_122)),
65.67/9.77	  inference(forward_demodulation,[],[f5105,f1479])).
65.67/9.77	tff(f5105,plain,(
65.67/9.77	  add2(sF101,sF102) = add2(sF101,sF103) | ~spl108_122),
65.67/9.77	  inference(forward_demodulation,[],[f5094,f1817])).
65.67/9.77	tff(f5094,plain,(
65.67/9.77	  add2(sF101,sF103) = add2(sF101,remove2(sF101,sF102)) | ~spl108_122),
65.67/9.77	  inference(superposition,[],[f1817,f4781])).
65.67/9.77	tff(f5358,plain,(
65.67/9.77	  spl108_158 | spl108_155 | ~spl108_41 | ~spl108_46 | ~spl108_152),
65.67/9.77	  inference(avatar_split_clause,[],[f5340,f5296,f1477,f1452,f5317,f5355])).
65.67/9.77	tff(f5355,plain,(
65.67/9.77	  spl108_158 <=> path(s,sK15(sK10),sK10)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_158])])).
65.67/9.77	tff(f5317,plain,(
65.67/9.77	  spl108_155 <=> ! [X0 : list_vertex] : (~path(s,X0,sK12) | ~$less(length1(X0),sK1))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_155])])).
65.67/9.77	tff(f5340,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less(length1(X0),sK1) | ~path(s,X0,sK12) | path(s,sK15(sK10),sK10)) ) | (~spl108_41 | ~spl108_46 | ~spl108_152)),
65.67/9.77	  inference(global_subsumption,[],[f5326,f2519])).
65.67/9.77	tff(f2519,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF103) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12) | path(s,sK15(sK10),sK10)) ) | ~spl108_41),
65.67/9.77	  inference(global_subsumption,[],[f742,f2516])).
65.67/9.77	tff(f2516,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF103) | ~$less(length1(X0),sK1) | ~path(s,X0,sK12) | path(s,sK15(sK10),sK10) | ~mem1(sK10,vertices)) ) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f1162,f1454])).
65.67/9.77	tff(f1162,plain,(
65.67/9.77	  ( ! [X21 : vertex,X14 : vertex,X22 : list_vertex] : (~mem2(tuple22(X21,X14),sF103) | ~$less(length1(X22),sK1) | ~path(s,X22,X21) | path(s,sK15(X14),X14) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(definition_folding,[],[f1092,f1155,f1154,f1153])).
65.67/9.77	tff(f1092,plain,(
65.67/9.77	  ( ! [X21 : vertex,X14 : vertex,X22 : list_vertex] : (path(s,sK15(X14),X14) | ~$less(length1(X22),sK1) | ~path(s,X22,X21) | ~mem2(tuple22(X21,X14),add2(tuple22(sK7,sK8),diff2(sK2,sK3))) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(definition_unfolding,[],[f728,f686])).
65.67/9.77	tff(f728,plain,(
65.67/9.77	  ( ! [X21 : vertex,X14 : vertex,X22 : list_vertex] : (path(s,sK15(X14),X14) | ~$less(length1(X22),sK1) | ~path(s,X22,X21) | ~mem2(tuple22(X21,X14),add2(tuple22(sK7,sK8),diff2(edges,sK3))) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f5353,plain,(
65.67/9.77	  spl108_157 | ~spl108_46 | ~spl108_152),
65.67/9.77	  inference(avatar_split_clause,[],[f5326,f5296,f1477,f5350])).
65.67/9.77	tff(f5347,plain,(
65.67/9.77	  spl108_156 | spl108_155 | ~spl108_41 | ~spl108_152),
65.67/9.77	  inference(avatar_split_clause,[],[f5305,f5296,f1452,f5317,f5344])).
65.67/9.77	tff(f5305,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~path(s,X0,sK12) | ~$less(length1(X0),sK1) | path(s,sK21(sK10),sK10)) ) | (~spl108_41 | ~spl108_152)),
65.67/9.77	  inference(subsumption_resolution,[],[f2535,f5298])).
65.67/9.77	tff(f2535,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF102) | ~path(s,X0,sK12) | ~$less(length1(X0),sK1) | path(s,sK21(sK10),sK10)) ) | ~spl108_41),
65.67/9.77	  inference(global_subsumption,[],[f742,f2532])).
65.67/9.77	tff(f2532,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF102) | ~path(s,X0,sK12) | ~$less(length1(X0),sK1) | path(s,sK21(sK10),sK10) | ~mem1(sK10,vertices)) ) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f1179,f1454])).
65.67/9.77	tff(f1179,plain,(
65.67/9.77	  ( ! [X38 : list_vertex,X36 : vertex,X37 : vertex] : (~mem2(tuple22(X37,X36),sF102) | ~path(s,X38,X37) | ~$less(length1(X38),sK1) | path(s,sK21(X36),X36) | ~mem1(X36,vertices)) )),
65.67/9.77	  inference(definition_folding,[],[f1107,f1154])).
65.67/9.77	tff(f1107,plain,(
65.67/9.77	  ( ! [X38 : list_vertex,X36 : vertex,X37 : vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37) | ~mem2(tuple22(X37,X36),diff2(sK2,sK3)) | path(s,sK21(X36),X36) | ~mem1(X36,vertices)) )),
65.67/9.77	  inference(definition_unfolding,[],[f693,f686])).
65.67/9.77	tff(f693,plain,(
65.67/9.77	  ( ! [X38 : list_vertex,X36 : vertex,X37 : vertex] : (~$less(length1(X38),sK1) | ~path(s,X38,X37) | ~mem2(tuple22(X37,X36),diff2(edges,sK3)) | path(s,sK21(X36),X36) | ~mem1(X36,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f5339,plain,(
65.67/9.77	  ~spl108_23 | ~spl108_155),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5338])).
65.67/9.77	tff(f5338,plain,(
65.67/9.77	  $false | (~spl108_23 | ~spl108_155)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f5328])).
65.67/9.77	tff(f5328,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~path(s,sK13,sK12) | (~spl108_23 | ~spl108_155)),
65.67/9.77	  inference(superposition,[],[f5318,f1344])).
65.67/9.77	tff(f5318,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~$less(length1(X0),sK1) | ~path(s,X0,sK12)) ) | ~spl108_155),
65.67/9.77	  inference(avatar_component_clause,[],[f5317])).
65.67/9.77	tff(f5337,plain,(
65.67/9.77	  ~spl108_23 | ~spl108_155),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5336])).
65.67/9.77	tff(f5336,plain,(
65.67/9.77	  $false | (~spl108_23 | ~spl108_155)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f5328])).
65.67/9.77	tff(f5335,plain,(
65.67/9.77	  ~spl108_23 | ~spl108_50 | ~spl108_155),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5334])).
65.67/9.77	tff(f5334,plain,(
65.67/9.77	  $false | (~spl108_23 | ~spl108_50 | ~spl108_155)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f5328])).
65.67/9.77	tff(f5333,plain,(
65.67/9.77	  ~spl108_23 | ~spl108_155),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f5332])).
65.67/9.77	tff(f5332,plain,(
65.67/9.77	  $false | (~spl108_23 | ~spl108_155)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f5328])).
65.67/9.77	tff(f5319,plain,(
65.67/9.77	  spl108_154 | spl108_155 | ~spl108_41 | ~spl108_152),
65.67/9.77	  inference(avatar_split_clause,[],[f5304,f5296,f1452,f5317,f5313])).
65.67/9.77	tff(f5304,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~path(s,X0,sK12) | ~$less(length1(X0),sK1) | path(s,sK17(sK10),sK10)) ) | (~spl108_41 | ~spl108_152)),
65.67/9.77	  inference(subsumption_resolution,[],[f2525,f5298])).
65.67/9.77	tff(f2525,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF102) | ~path(s,X0,sK12) | ~$less(length1(X0),sK1) | path(s,sK17(sK10),sK10)) ) | ~spl108_41),
65.67/9.77	  inference(global_subsumption,[],[f742,f2522])).
65.67/9.77	tff(f2522,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (~mem2(sF96,sF102) | ~path(s,X0,sK12) | ~$less(length1(X0),sK1) | path(s,sK17(sK10),sK10) | ~mem1(sK10,vertices)) ) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f1163,f1454])).
65.67/9.77	tff(f1163,plain,(
65.67/9.77	  ( ! [X24 : vertex,X25 : list_vertex,X23 : vertex] : (~mem2(tuple22(X24,X23),sF102) | ~path(s,X25,X24) | ~$less(length1(X25),sK1) | path(s,sK17(X23),X23) | ~mem1(X23,vertices)) )),
65.67/9.77	  inference(definition_folding,[],[f1093,f1154])).
65.67/9.77	tff(f1093,plain,(
65.67/9.77	  ( ! [X24 : vertex,X25 : list_vertex,X23 : vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24) | ~mem2(tuple22(X24,X23),diff2(sK2,sK3)) | path(s,sK17(X23),X23) | ~mem1(X23,vertices)) )),
65.67/9.77	  inference(definition_unfolding,[],[f725,f686])).
65.67/9.77	tff(f725,plain,(
65.67/9.77	  ( ! [X24 : vertex,X25 : list_vertex,X23 : vertex] : (~$less(length1(X25),sK1) | ~path(s,X25,X24) | ~mem2(tuple22(X24,X23),diff2(edges,sK3)) | path(s,sK17(X23),X23) | ~mem1(X23,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f5303,plain,(
65.67/9.77	  spl108_152 | spl108_153 | ~spl108_45 | ~spl108_61),
65.67/9.77	  inference(avatar_split_clause,[],[f5147,f1583,f1472,f5300,f5296])).
65.67/9.77	tff(f1472,plain,(
65.67/9.77	  spl108_45 <=> diff2(sK2,sK3) = sF102),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_45])])).
65.67/9.77	tff(f1583,plain,(
65.67/9.77	  spl108_61 <=> mem2(sF96,sK2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_61])])).
65.67/9.77	tff(f5147,plain,(
65.67/9.77	  mem2(sF96,sK3) | mem2(sF96,sF102) | (~spl108_45 | ~spl108_61)),
65.67/9.77	  inference(resolution,[],[f1961,f1584])).
65.67/9.77	tff(f1584,plain,(
65.67/9.77	  mem2(sF96,sK2) | ~spl108_61),
65.67/9.77	  inference(avatar_component_clause,[],[f1583])).
65.67/9.77	tff(f1961,plain,(
65.67/9.77	  ( ! [X1 : lpvertexcm_vertexrp] : (~mem2(X1,sK2) | mem2(X1,sK3) | mem2(X1,sF102)) ) | ~spl108_45),
65.67/9.77	  inference(superposition,[],[f1033,f1474])).
65.67/9.77	tff(f1474,plain,(
65.67/9.77	  diff2(sK2,sK3) = sF102 | ~spl108_45),
65.67/9.77	  inference(avatar_component_clause,[],[f1472])).
65.67/9.77	tff(f1033,plain,(
65.67/9.77	  ( ! [X2 : lpvertexcm_vertexrp,X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (mem2(X2,diff2(X0,X1)) | mem2(X2,X1) | ~mem2(X2,X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f649])).
65.67/9.77	tff(f5266,plain,(
65.67/9.77	  spl108_150 | spl108_151 | ~spl108_33 | ~spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f5130,f1457,f1407,f5263,f5259])).
65.67/9.77	tff(f5259,plain,(
65.67/9.77	  spl108_150 <=> mem2(sK19,sF97)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_150])])).
65.67/9.77	tff(f5263,plain,(
65.67/9.77	  spl108_151 <=> mem2(sK19,sK6)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_151])])).
65.67/9.77	tff(f1407,plain,(
65.67/9.77	  spl108_33 <=> mem2(sK19,sK2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_33])])).
65.67/9.77	tff(f5130,plain,(
65.67/9.77	  mem2(sK19,sK6) | mem2(sK19,sF97) | (~spl108_33 | ~spl108_42)),
65.67/9.77	  inference(resolution,[],[f1960,f1409])).
65.67/9.77	tff(f1409,plain,(
65.67/9.77	  mem2(sK19,sK2) | ~spl108_33),
65.67/9.77	  inference(avatar_component_clause,[],[f1407])).
65.67/9.77	tff(f1960,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp] : (~mem2(X0,sK2) | mem2(X0,sK6) | mem2(X0,sF97)) ) | ~spl108_42),
65.67/9.77	  inference(superposition,[],[f1033,f1459])).
65.67/9.77	tff(f5194,plain,(
65.67/9.77	  spl108_148 | spl108_149 | ~spl108_44 | ~spl108_49),
65.67/9.77	  inference(avatar_split_clause,[],[f2520,f1495,f1467,f5192,f5188])).
65.67/9.77	tff(f5188,plain,(
65.67/9.77	  spl108_148 <=> path(s,sK15(sK8),sK8)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_148])])).
65.67/9.77	tff(f5192,plain,(
65.67/9.77	  spl108_149 <=> ! [X1 : list_vertex] : (~$less(length1(X1),sK1) | ~path(s,X1,sK7))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_149])])).
65.67/9.77	tff(f2520,plain,(
65.67/9.77	  ( ! [X1 : list_vertex] : (~$less(length1(X1),sK1) | ~path(s,X1,sK7) | path(s,sK15(sK8),sK8)) ) | (~spl108_44 | ~spl108_49)),
65.67/9.77	  inference(global_subsumption,[],[f1497,f1538,f2517])).
65.67/9.77	tff(f2517,plain,(
65.67/9.77	  ( ! [X1 : list_vertex] : (~mem2(sF101,sF103) | ~$less(length1(X1),sK1) | ~path(s,X1,sK7) | path(s,sK15(sK8),sK8) | ~mem1(sK8,vertices)) ) | ~spl108_44),
65.67/9.77	  inference(superposition,[],[f1162,f1469])).
65.67/9.77	tff(f5186,plain,(
65.67/9.77	  spl108_146 | spl108_147 | ~spl108_28 | ~spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f5129,f1457,f1375,f5183,f5179])).
65.67/9.77	tff(f5179,plain,(
65.67/9.77	  spl108_146 <=> mem2(sK18,sF97)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_146])])).
65.67/9.77	tff(f1375,plain,(
65.67/9.77	  spl108_28 <=> mem2(sK18,sK2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_28])])).
65.67/9.77	tff(f5129,plain,(
65.67/9.77	  mem2(sK18,sK6) | mem2(sK18,sF97) | (~spl108_28 | ~spl108_42)),
65.67/9.77	  inference(resolution,[],[f1960,f1377])).
65.67/9.77	tff(f1377,plain,(
65.67/9.77	  mem2(sK18,sK2) | ~spl108_28),
65.67/9.77	  inference(avatar_component_clause,[],[f1375])).
65.67/9.77	tff(f5153,plain,(
65.67/9.77	  spl108_145 | ~spl108_9 | spl108_39 | ~spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f5137,f1457,f1442,f1256,f5150])).
65.67/9.77	tff(f5150,plain,(
65.67/9.77	  spl108_145 <=> mem2(sF101,sF97)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_145])])).
65.67/9.77	tff(f1256,plain,(
65.67/9.77	  spl108_9 <=> mem2(sF101,sK2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_9])])).
65.67/9.77	tff(f1442,plain,(
65.67/9.77	  spl108_39 <=> mem2(sF101,sK6)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_39])])).
65.67/9.77	tff(f5137,plain,(
65.67/9.77	  mem2(sF101,sF97) | (~spl108_9 | spl108_39 | ~spl108_42)),
65.67/9.77	  inference(global_subsumption,[],[f1444,f5136])).
65.67/9.77	tff(f5136,plain,(
65.67/9.77	  mem2(sF101,sK6) | mem2(sF101,sF97) | (~spl108_9 | ~spl108_42)),
65.67/9.77	  inference(resolution,[],[f1960,f1258])).
65.67/9.77	tff(f1258,plain,(
65.67/9.77	  mem2(sF101,sK2) | ~spl108_9),
65.67/9.77	  inference(avatar_component_clause,[],[f1256])).
65.67/9.77	tff(f1444,plain,(
65.67/9.77	  ~mem2(sF101,sK6) | spl108_39),
65.67/9.77	  inference(avatar_component_clause,[],[f1442])).
65.67/9.77	tff(f5113,plain,(
65.67/9.77	  spl108_144 | ~spl108_19 | ~spl108_72),
65.67/9.77	  inference(avatar_split_clause,[],[f5104,f1820,f1309,f5110])).
65.67/9.77	tff(f5104,plain,(
65.67/9.77	  sK3 = add2(sF101,sK3) | (~spl108_19 | ~spl108_72)),
65.67/9.77	  inference(forward_demodulation,[],[f5093,f1822])).
65.67/9.77	tff(f5093,plain,(
65.67/9.77	  add2(sF101,sK6) = add2(sF101,sK3) | ~spl108_19),
65.67/9.77	  inference(superposition,[],[f1817,f1311])).
65.67/9.77	tff(f5032,plain,(
65.67/9.77	  ~spl108_141 | ~spl108_142 | spl108_143 | ~spl108_40 | ~spl108_47),
65.67/9.77	  inference(avatar_split_clause,[],[f1487,f1482,f1447,f5029,f5025,f5021])).
65.67/9.77	tff(f5021,plain,(
65.67/9.77	  spl108_141 <=> sF94 = -1),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_141])])).
65.67/9.77	tff(f5025,plain,(
65.67/9.77	  spl108_142 <=> sF93 = sF105),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_142])])).
65.67/9.77	tff(f5029,plain,(
65.67/9.77	  spl108_143 <=> sF95 = sF107),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_143])])).
65.67/9.77	tff(f1482,plain,(
65.67/9.77	  spl108_47 <=> sF107 = $sum(sF105,-1)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_47])])).
65.67/9.77	tff(f1487,plain,(
65.67/9.77	  sF95 = sF107 | sF93 != sF105 | sF94 != -1 | (~spl108_40 | ~spl108_47)),
65.67/9.77	  inference(constrained_superposition,[],[f1484,f1449])).
65.67/9.77	tff(f1484,plain,(
65.67/9.77	  sF107 = $sum(sF105,-1) | ~spl108_47),
65.67/9.77	  inference(avatar_component_clause,[],[f1482])).
65.67/9.77	tff(f4979,plain,(
65.67/9.77	  spl108_140 | ~spl108_45),
65.67/9.77	  inference(avatar_split_clause,[],[f1797,f1472,f4976])).
65.67/9.77	tff(f4976,plain,(
65.67/9.77	  spl108_140 <=> subset(tuple2(vertex1,vertex1),t2tb4(sF102),t2tb4(sK2))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_140])])).
65.67/9.77	tff(f1797,plain,(
65.67/9.77	  subset(tuple2(vertex1,vertex1),t2tb4(sF102),t2tb4(sK2)) | ~spl108_45),
65.67/9.77	  inference(superposition,[],[f856,f1474])).
65.67/9.77	tff(f856,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (subset(tuple2(vertex1,vertex1),t2tb4(diff2(X0,X1)),t2tb4(X0))) )),
65.67/9.77	  inference(cnf_transformation,[],[f285])).
65.67/9.77	tff(f285,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : subset(tuple2(vertex1,vertex1),t2tb4(diff2(X0,X1)),t2tb4(X0))),
65.67/9.77	  inference(rectify,[],[f191])).
65.67/9.77	tff(f191,axiom,(
65.67/9.77	  ! [X3 : set_lpvertexcm_vertexrp,X4 : set_lpvertexcm_vertexrp] : subset(tuple2(vertex1,vertex1),t2tb4(diff2(X3,X4)),t2tb4(X3))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_diff)).
65.67/9.77	tff(f4974,plain,(
65.67/9.77	  spl108_139 | ~spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f1796,f1457,f4971])).
65.67/9.77	tff(f4971,plain,(
65.67/9.77	  spl108_139 <=> subset(tuple2(vertex1,vertex1),t2tb4(sF97),t2tb4(sK2))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_139])])).
65.67/9.77	tff(f1796,plain,(
65.67/9.77	  subset(tuple2(vertex1,vertex1),t2tb4(sF97),t2tb4(sK2)) | ~spl108_42),
65.67/9.77	  inference(superposition,[],[f856,f1459])).
65.67/9.77	tff(f4969,plain,(
65.67/9.77	  spl108_138 | ~spl108_44),
65.67/9.77	  inference(avatar_split_clause,[],[f1782,f1467,f4966])).
65.67/9.77	tff(f1782,plain,(
65.67/9.77	  sK7 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF101))) | ~spl108_44),
65.67/9.77	  inference(superposition,[],[f853,f1469])).
65.67/9.77	tff(f853,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(tuple22(X0,X1)))) = X0) )),
65.67/9.77	  inference(cnf_transformation,[],[f282])).
65.67/9.77	tff(f282,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex] : tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(tuple22(X0,X1)))) = X0),
65.67/9.77	  inference(rectify,[],[f17])).
65.67/9.77	tff(f17,axiom,(
65.67/9.77	  ! [X15 : vertex,X16 : vertex] : tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(tuple22(X15,X16)))) = X15),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuple2_proj_1_def)).
65.67/9.77	tff(f4964,plain,(
65.67/9.77	  spl108_137 | ~spl108_41),
65.67/9.77	  inference(avatar_split_clause,[],[f1781,f1452,f4961])).
65.67/9.77	tff(f1781,plain,(
65.67/9.77	  sK12 = tb2t(tuple2_proj_1(vertex1,vertex1,t2tb6(sF96))) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f853,f1454])).
65.67/9.77	tff(f4959,plain,(
65.67/9.77	  spl108_136 | ~spl108_44),
65.67/9.77	  inference(avatar_split_clause,[],[f1779,f1467,f4956])).
65.67/9.77	tff(f1779,plain,(
65.67/9.77	  sK8 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF101))) | ~spl108_44),
65.67/9.77	  inference(superposition,[],[f852,f1469])).
65.67/9.77	tff(f852,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(tuple22(X0,X1)))) = X1) )),
65.67/9.77	  inference(cnf_transformation,[],[f281])).
65.67/9.77	tff(f281,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex] : tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(tuple22(X0,X1)))) = X1),
65.67/9.77	  inference(rectify,[],[f55])).
65.67/9.77	tff(f55,axiom,(
65.67/9.77	  ! [X15 : vertex,X16 : vertex] : tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(tuple22(X15,X16)))) = X16),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuple2_proj_2_def)).
65.67/9.77	tff(f4954,plain,(
65.67/9.77	  spl108_135 | ~spl108_41),
65.67/9.77	  inference(avatar_split_clause,[],[f1778,f1452,f4951])).
65.67/9.77	tff(f1778,plain,(
65.67/9.77	  sK10 = tb2t(tuple2_proj_2(vertex1,vertex1,t2tb6(sF96))) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f852,f1454])).
65.67/9.77	tff(f4949,plain,(
65.67/9.77	  spl108_134 | ~spl108_130),
65.67/9.77	  inference(avatar_split_clause,[],[f4928,f4911,f4946])).
65.67/9.77	tff(f4946,plain,(
65.67/9.77	  spl108_134 <=> mem2(sK29(sK6),sK2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_134])])).
65.67/9.77	tff(f4911,plain,(
65.67/9.77	  spl108_130 <=> mem2(sK29(sK6),sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_130])])).
65.67/9.77	tff(f4928,plain,(
65.67/9.77	  mem2(sK29(sK6),sK2) | ~spl108_130),
65.67/9.77	  inference(resolution,[],[f4913,f1102])).
65.67/9.77	tff(f4913,plain,(
65.67/9.77	  mem2(sK29(sK6),sK3) | ~spl108_130),
65.67/9.77	  inference(avatar_component_clause,[],[f4911])).
65.67/9.77	tff(f4926,plain,(
65.67/9.77	  spl108_132 | ~spl108_133 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f1680,f1342,f4923,f4919])).
65.67/9.77	tff(f4919,plain,(
65.67/9.77	  spl108_132 <=> tb2t3(nil(vertex1)) = sK13),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_132])])).
65.67/9.77	tff(f4923,plain,(
65.67/9.77	  spl108_133 <=> 0 = sF98),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_133])])).
65.67/9.77	tff(f1680,plain,(
65.67/9.77	  0 != sF98 | tb2t3(nil(vertex1)) = sK13 | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f826,f1344])).
65.67/9.77	tff(f826,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (0 != length1(X0) | tb2t3(nil(vertex1)) = X0) )),
65.67/9.77	  inference(cnf_transformation,[],[f547])).
65.67/9.77	tff(f547,plain,(
65.67/9.77	  ! [X0 : list_vertex] : ((0 = length1(X0) | tb2t3(nil(vertex1)) != X0) & (tb2t3(nil(vertex1)) = X0 | 0 != length1(X0)))),
65.67/9.77	  inference(nnf_transformation,[],[f263])).
65.67/9.77	tff(f263,plain,(
65.67/9.77	  ! [X0 : list_vertex] : (0 = length1(X0) <=> tb2t3(nil(vertex1)) = X0)),
65.67/9.77	  inference(rectify,[],[f177])).
65.67/9.77	tff(f177,axiom,(
65.67/9.77	  ! [X5 : list_vertex] : (0 = length1(X5) <=> tb2t3(nil(vertex1)) = X5)),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)).
65.67/9.77	tff(f4917,plain,(
65.67/9.77	  spl108_130 | spl108_131 | ~spl108_19),
65.67/9.77	  inference(avatar_split_clause,[],[f4801,f1309,f4915,f4911])).
65.67/9.77	tff(f4915,plain,(
65.67/9.77	  spl108_131 <=> ! [X23 : lpvertexcm_vertexrp] : ~mem2(X23,sK6)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_131])])).
65.67/9.77	tff(f4801,plain,(
65.67/9.77	  ( ! [X23 : lpvertexcm_vertexrp] : (~mem2(X23,sK6) | mem2(sK29(sK6),sK3)) ) | ~spl108_19),
65.67/9.77	  inference(resolution,[],[f1772,f1660])).
65.67/9.77	tff(f1660,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp] : (~mem2(X0,sK6) | mem2(X0,sK3)) ) | ~spl108_19),
65.67/9.77	  inference(superposition,[],[f1028,f1311])).
65.67/9.77	tff(f1028,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (~mem2(X0,remove2(X1,X2)) | mem2(X0,X2)) )),
65.67/9.77	  inference(cnf_transformation,[],[f647])).
65.67/9.77	tff(f647,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : ((mem2(X0,remove2(X1,X2)) | X0 = X1 | ~mem2(X0,X2)) & ((X0 != X1 & mem2(X0,X2)) | ~mem2(X0,remove2(X1,X2))))),
65.67/9.77	  inference(flattening,[],[f646])).
65.67/9.77	tff(f646,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : ((mem2(X0,remove2(X1,X2)) | (X0 = X1 | ~mem2(X0,X2))) & ((X0 != X1 & mem2(X0,X2)) | ~mem2(X0,remove2(X1,X2))))),
65.67/9.77	  inference(nnf_transformation,[],[f368])).
65.67/9.77	tff(f368,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : (mem2(X0,remove2(X1,X2)) <=> (X0 != X1 & mem2(X0,X2)))),
65.67/9.77	  inference(rectify,[],[f27])).
65.67/9.77	tff(f27,axiom,(
65.67/9.77	  ! [X1 : lpvertexcm_vertexrp,X11 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : (mem2(X1,remove2(X11,X2)) <=> (X1 != X11 & mem2(X1,X2)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_def1)).
65.67/9.77	tff(f1772,plain,(
65.67/9.77	  ( ! [X2 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (mem2(sK29(X1),X1) | ~mem2(X2,X1)) )),
65.67/9.77	  inference(resolution,[],[f831,f830])).
65.67/9.77	tff(f830,plain,(
65.67/9.77	  ( ! [X2 : lpvertexcm_vertexrp,X0 : set_lpvertexcm_vertexrp] : (~is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) | ~mem2(X2,X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f552])).
65.67/9.77	tff(f4888,plain,(
65.67/9.77	  ~spl108_129 | ~spl108_45),
65.67/9.77	  inference(avatar_split_clause,[],[f4863,f1472,f4885])).
65.67/9.77	tff(f4885,plain,(
65.67/9.77	  spl108_129 <=> $less(cardinal2(sK2),cardinal2(sF102))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_129])])).
65.67/9.77	tff(f4863,plain,(
65.67/9.77	  ~$less(cardinal2(sK2),cardinal2(sF102)) | ~spl108_45),
65.67/9.77	  inference(superposition,[],[f2211,f1474])).
65.67/9.77	tff(f2211,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X3 : set_lpvertexcm_vertexrp] : (~$less(cardinal2(X2),cardinal2(diff2(X2,X3)))) )),
65.67/9.77	  inference(resolution,[],[f890,f856])).
65.67/9.77	tff(f4868,plain,(
65.67/9.77	  ~spl108_128 | ~spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f4862,f1457,f4865])).
65.67/9.77	tff(f4865,plain,(
65.67/9.77	  spl108_128 <=> $less(cardinal2(sK2),cardinal2(sF97))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_128])])).
65.67/9.77	tff(f4862,plain,(
65.67/9.77	  ~$less(cardinal2(sK2),cardinal2(sF97)) | ~spl108_42),
65.67/9.77	  inference(superposition,[],[f2211,f1459])).
65.67/9.77	tff(f4840,plain,(
65.67/9.77	  spl108_126 | spl108_127),
65.67/9.77	  inference(avatar_split_clause,[],[f4800,f4838,f4834])).
65.67/9.77	tff(f4834,plain,(
65.67/9.77	  spl108_126 <=> mem2(sK29(sK3),sK2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_126])])).
65.67/9.77	tff(f4838,plain,(
65.67/9.77	  spl108_127 <=> ! [X22 : lpvertexcm_vertexrp] : ~mem2(X22,sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_127])])).
65.67/9.77	tff(f4800,plain,(
65.67/9.77	  ( ! [X22 : lpvertexcm_vertexrp] : (~mem2(X22,sK3) | mem2(sK29(sK3),sK2)) )),
65.67/9.77	  inference(resolution,[],[f1772,f1102])).
65.67/9.77	tff(f4832,plain,(
65.67/9.77	  spl108_125 | ~spl108_46),
65.67/9.77	  inference(avatar_split_clause,[],[f2065,f1477,f4829])).
65.67/9.77	tff(f4829,plain,(
65.67/9.77	  spl108_125 <=> $sum(1,cardinal2(sF102)) = cardinal2(sF103)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_125])])).
65.67/9.77	tff(f2065,plain,(
65.67/9.77	  $sum(1,cardinal2(sF102)) = cardinal2(sF103) | ~spl108_46),
65.67/9.77	  inference(global_subsumption,[],[f1170,f2060])).
65.67/9.77	tff(f2060,plain,(
65.67/9.77	  $sum(1,cardinal2(sF102)) = cardinal2(sF103) | mem2(sF101,sF102) | ~spl108_46),
65.67/9.77	  inference(superposition,[],[f867,f1479])).
65.67/9.77	tff(f867,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (cardinal2(add2(X0,X1)) = $sum(1,cardinal2(X1)) | mem2(X0,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f424])).
65.67/9.77	tff(f424,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (cardinal2(add2(X0,X1)) = $sum(1,cardinal2(X1)) | mem2(X0,X1))),
65.67/9.77	  inference(ennf_transformation,[],[f293])).
65.67/9.77	tff(f293,plain,(
65.67/9.77	  ! [X0 : lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (~mem2(X0,X1) => cardinal2(add2(X0,X1)) = $sum(1,cardinal2(X1)))),
65.67/9.77	  inference(rectify,[],[f2])).
65.67/9.77	tff(f2,axiom,(
65.67/9.77	  ! [X1 : lpvertexcm_vertexrp,X2 : set_lpvertexcm_vertexrp] : (~mem2(X1,X2) => cardinal2(add2(X1,X2)) = $sum(1,cardinal2(X2)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_add)).
65.67/9.77	tff(f1170,plain,(
65.67/9.77	  ~mem2(sF101,sF102)),
65.67/9.77	  inference(definition_folding,[],[f1100,f1154,f1153])).
65.67/9.77	tff(f1100,plain,(
65.67/9.77	  ~mem2(tuple22(sK7,sK8),diff2(sK2,sK3))),
65.67/9.77	  inference(definition_unfolding,[],[f710,f686])).
65.67/9.77	tff(f710,plain,(
65.67/9.77	  ~mem2(tuple22(sK7,sK8),diff2(edges,sK3))),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f4791,plain,(
65.67/9.77	  ~spl108_123 | ~spl108_124 | ~spl108_79 | spl108_119),
65.67/9.77	  inference(avatar_split_clause,[],[f4756,f4752,f2075,f4788,f4784])).
65.67/9.77	tff(f4788,plain,(
65.67/9.77	  spl108_124 <=> $less(sF93,sK11)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_124])])).
65.67/9.77	tff(f4756,plain,(
65.67/9.77	  ~$less(sF93,sK11) | sK10 != sK12 | (~spl108_79 | spl108_119)),
65.67/9.77	  inference(constrained_superposition,[],[f4754,f2077])).
65.67/9.77	tff(f4782,plain,(
65.67/9.77	  spl108_122 | ~spl108_46),
65.67/9.77	  inference(avatar_split_clause,[],[f1688,f1477,f4779])).
65.67/9.77	tff(f1688,plain,(
65.67/9.77	  remove2(sF101,sF102) = remove2(sF101,sF103) | ~spl108_46),
65.67/9.77	  inference(superposition,[],[f851,f1479])).
65.67/9.77	tff(f4768,plain,(
65.67/9.77	  ~spl108_120 | spl108_121 | ~spl108_16),
65.67/9.77	  inference(avatar_split_clause,[],[f1320,f1293,f4766,f4762])).
65.67/9.77	tff(f4762,plain,(
65.67/9.77	  spl108_120 <=> 0 = sF105),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_120])])).
65.67/9.77	tff(f4766,plain,(
65.67/9.77	  spl108_121 <=> ! [X0 : set_lpvertexcm_vertexrp] : 0 != cardinal2(X0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_121])])).
65.67/9.77	tff(f1293,plain,(
65.67/9.77	  spl108_16 <=> $less(0,sF105)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_16])])).
65.67/9.77	tff(f1320,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp] : (0 != cardinal2(X0) | 0 != sF105) ) | ~spl108_16),
65.67/9.77	  inference(constrained_resolution,[],[f766,f1295])).
65.67/9.77	tff(f1295,plain,(
65.67/9.77	  $less(0,sF105) | ~spl108_16),
65.67/9.77	  inference(avatar_component_clause,[],[f1293])).
65.67/9.77	tff(f766,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp] : (~$less(cardinal2(X0),0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f219])).
65.67/9.77	tff(f219,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : ~$less(cardinal2(X0),0)),
65.67/9.77	  inference(rectify,[],[f200])).
65.67/9.77	tff(f200,plain,(
65.67/9.77	  ! [X2 : set_lpvertexcm_vertexrp] : ~$less(cardinal2(X2),0)),
65.67/9.77	  inference(theory_normalization,[],[f85])).
65.67/9.77	tff(f85,axiom,(
65.67/9.77	  ! [X2 : set_lpvertexcm_vertexrp] : $lesseq(0,cardinal2(X2))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_nonneg)).
65.67/9.77	tff(f4755,plain,(
65.67/9.77	  spl108_118 | ~spl108_119 | ~spl108_23 | ~spl108_37 | ~spl108_60),
65.67/9.77	  inference(avatar_split_clause,[],[f2679,f1579,f1432,f1342,f4752,f4748])).
65.67/9.77	tff(f2679,plain,(
65.67/9.77	  ~$less(sF93,sK14(sK12)) | infinite = get1(sK9,sK12) | (~spl108_23 | ~spl108_37 | ~spl108_60)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f1581,f2678])).
65.67/9.77	tff(f2678,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~$less(sF93,sK14(sK12)) | ~path(s,sK13,sK12) | infinite = get1(sK9,sK12) | ~mem1(sK12,vertices) | (~spl108_23 | ~spl108_37)),
65.67/9.77	  inference(forward_demodulation,[],[f2652,f1344])).
65.67/9.77	tff(f2652,plain,(
65.67/9.77	  ~$less(sF93,sK14(sK12)) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK12) | infinite = get1(sK9,sK12) | ~mem1(sK12,vertices) | ~spl108_37),
65.67/9.77	  inference(superposition,[],[f736,f1434])).
65.67/9.77	tff(f736,plain,(
65.67/9.77	  ( ! [X16 : list_vertex,X14 : vertex] : (~$less(path_weight(X16,X14),sK14(X14)) | ~$less(length1(X16),sK1) | ~path(s,X16,X14) | infinite = get1(sK9,X14) | ~mem1(X14,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f4739,plain,(
65.67/9.77	  ~spl108_117 | ~spl108_23 | ~spl108_37 | ~spl108_60 | spl108_115),
65.67/9.77	  inference(avatar_split_clause,[],[f4734,f4726,f1579,f1432,f1342,f4736])).
65.67/9.77	tff(f4734,plain,(
65.67/9.77	  ~$less(sF93,sK16(sK12)) | (~spl108_23 | ~spl108_37 | ~spl108_60 | spl108_115)),
65.67/9.77	  inference(subsumption_resolution,[],[f2637,f4727])).
65.67/9.77	tff(f2637,plain,(
65.67/9.77	  ~$less(sF93,sK16(sK12)) | infinite = get1(sK4,sK12) | (~spl108_23 | ~spl108_37 | ~spl108_60)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f1581,f2636])).
65.67/9.77	tff(f2636,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~$less(sF93,sK16(sK12)) | infinite = get1(sK4,sK12) | ~path(s,sK13,sK12) | ~mem1(sK12,vertices) | (~spl108_23 | ~spl108_37)),
65.67/9.77	  inference(forward_demodulation,[],[f2611,f1344])).
65.67/9.77	tff(f2611,plain,(
65.67/9.77	  ~$less(sF93,sK16(sK12)) | infinite = get1(sK4,sK12) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK12) | ~mem1(sK12,vertices) | ~spl108_37),
65.67/9.77	  inference(superposition,[],[f713,f1434])).
65.67/9.77	tff(f713,plain,(
65.67/9.77	  ( ! [X29 : list_vertex,X23 : vertex] : (~$less(path_weight(X29,X23),sK16(X23)) | infinite = get1(sK4,X23) | ~$less(length1(X29),sK1) | ~path(s,X29,X23) | ~mem1(X23,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f4733,plain,(
65.67/9.77	  spl108_115 | ~spl108_116 | ~spl108_23 | ~spl108_37 | ~spl108_60),
65.67/9.77	  inference(avatar_split_clause,[],[f2601,f1579,f1432,f1342,f4730,f4726])).
65.67/9.77	tff(f2601,plain,(
65.67/9.77	  ~$less(sF93,sK20(sK12)) | infinite = get1(sK4,sK12) | (~spl108_23 | ~spl108_37 | ~spl108_60)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f1581,f2600])).
65.67/9.77	tff(f2600,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~$less(sF93,sK20(sK12)) | infinite = get1(sK4,sK12) | ~path(s,sK13,sK12) | ~mem1(sK12,vertices) | (~spl108_23 | ~spl108_37)),
65.67/9.77	  inference(forward_demodulation,[],[f2575,f1344])).
65.67/9.77	tff(f2575,plain,(
65.67/9.77	  ~$less(sF93,sK20(sK12)) | infinite = get1(sK4,sK12) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK12) | ~mem1(sK12,vertices) | ~spl108_37),
65.67/9.77	  inference(superposition,[],[f700,f1434])).
65.67/9.77	tff(f700,plain,(
65.67/9.77	  ( ! [X36 : vertex,X43 : list_vertex] : (~$less(path_weight(X43,X36),sK20(X36)) | infinite = get1(sK4,X36) | ~$less(length1(X43),sK1) | ~path(s,X43,X36) | ~mem1(X36,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f4721,plain,(
65.67/9.77	  spl108_113 | ~spl108_114 | ~spl108_23 | ~spl108_37 | ~spl108_60),
65.67/9.77	  inference(avatar_split_clause,[],[f2565,f1579,f1432,f1342,f4718,f4714])).
65.67/9.77	tff(f2565,plain,(
65.67/9.77	  ~$less(sF93,sK22(sK12)) | infinite = get1(sK0,sK12) | (~spl108_23 | ~spl108_37 | ~spl108_60)),
65.67/9.77	  inference(global_subsumption,[],[f1149,f744,f1581,f2564])).
65.67/9.77	tff(f2564,plain,(
65.67/9.77	  ~$less(sF98,sK1) | ~$less(sF93,sK22(sK12)) | infinite = get1(sK0,sK12) | ~path(s,sK13,sK12) | ~mem1(sK12,vertices) | (~spl108_23 | ~spl108_37)),
65.67/9.77	  inference(forward_demodulation,[],[f2539,f1344])).
65.67/9.77	tff(f2539,plain,(
65.67/9.77	  ~$less(sF93,sK22(sK12)) | infinite = get1(sK0,sK12) | ~$less(length1(sK13),sK1) | ~path(s,sK13,sK12) | ~mem1(sK12,vertices) | ~spl108_37),
65.67/9.77	  inference(superposition,[],[f684,f1434])).
65.67/9.77	tff(f4710,plain,(
65.67/9.77	  ~spl108_112 | ~spl108_110),
65.67/9.77	  inference(avatar_split_clause,[],[f4701,f4691,f4707])).
65.67/9.77	tff(f4707,plain,(
65.67/9.77	  spl108_112 <=> $less(cardinal2(sK3),cardinal2(sK6))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_112])])).
65.67/9.77	tff(f4691,plain,(
65.67/9.77	  spl108_110 <=> subset(tuple2(vertex1,vertex1),t2tb4(sK6),t2tb4(sK3))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_110])])).
65.67/9.77	tff(f4701,plain,(
65.67/9.77	  ~$less(cardinal2(sK3),cardinal2(sK6)) | ~spl108_110),
65.67/9.77	  inference(resolution,[],[f4693,f890])).
65.67/9.77	tff(f4693,plain,(
65.67/9.77	  subset(tuple2(vertex1,vertex1),t2tb4(sK6),t2tb4(sK3)) | ~spl108_110),
65.67/9.77	  inference(avatar_component_clause,[],[f4691])).
65.67/9.77	tff(f4699,plain,(
65.67/9.77	  ~spl108_111 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f4663,f1342,f4696])).
65.67/9.77	tff(f4696,plain,(
65.67/9.77	  spl108_111 <=> $less($sum(27,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_111])])).
65.67/9.77	tff(f4663,plain,(
65.67/9.77	  ~$less($sum(27,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f4528,f1344])).
65.67/9.77	tff(f4694,plain,(
65.67/9.77	  spl108_110 | ~spl108_19),
65.67/9.77	  inference(avatar_split_clause,[],[f1789,f1309,f4691])).
65.67/9.77	tff(f1789,plain,(
65.67/9.77	  subset(tuple2(vertex1,vertex1),t2tb4(sK6),t2tb4(sK3)) | ~spl108_19),
65.67/9.77	  inference(superposition,[],[f855,f1311])).
65.67/9.77	tff(f4577,plain,(
65.67/9.77	  ~spl108_109 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f4524,f1342,f4574])).
65.67/9.77	tff(f4574,plain,(
65.67/9.77	  spl108_109 <=> $less($sum(26,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_109])])).
65.67/9.77	tff(f4524,plain,(
65.67/9.77	  ~$less($sum(26,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f4400,f1344])).
65.67/9.77	tff(f4449,plain,(
65.67/9.77	  ~spl108_108 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f4396,f1342,f4446])).
65.67/9.77	tff(f4446,plain,(
65.67/9.77	  spl108_108 <=> $less($sum(25,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_108])])).
65.67/9.77	tff(f4396,plain,(
65.67/9.77	  ~$less($sum(25,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f4324,f1344])).
65.67/9.77	tff(f4346,plain,(
65.67/9.77	  ~spl108_107 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f4320,f1342,f4343])).
65.67/9.77	tff(f4343,plain,(
65.67/9.77	  spl108_107 <=> $less($sum(24,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_107])])).
65.67/9.77	tff(f4320,plain,(
65.67/9.77	  ~$less($sum(24,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f4240,f1344])).
65.67/9.77	tff(f4271,plain,(
65.67/9.77	  ~spl108_106 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f4236,f1342,f4268])).
65.67/9.77	tff(f4268,plain,(
65.67/9.77	  spl108_106 <=> $less($sum(23,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_106])])).
65.67/9.77	tff(f4236,plain,(
65.67/9.77	  ~$less($sum(23,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f4085,f1344])).
65.67/9.77	tff(f4116,plain,(
65.67/9.77	  ~spl108_105 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f4081,f1342,f4113])).
65.67/9.77	tff(f4113,plain,(
65.67/9.77	  spl108_105 <=> $less($sum(22,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_105])])).
65.67/9.77	tff(f4081,plain,(
65.67/9.77	  ~$less($sum(22,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f3775,f1344])).
65.67/9.77	tff(f3851,plain,(
65.67/9.77	  ~spl108_104 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f3771,f1342,f3848])).
65.67/9.77	tff(f3848,plain,(
65.67/9.77	  spl108_104 <=> $less($sum(21,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_104])])).
65.67/9.77	tff(f3771,plain,(
65.67/9.77	  ~$less($sum(21,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f3692,f1344])).
65.67/9.77	tff(f3721,plain,(
65.67/9.77	  ~spl108_103 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f3688,f1342,f3718])).
65.67/9.77	tff(f3718,plain,(
65.67/9.77	  spl108_103 <=> $less($sum(20,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_103])])).
65.67/9.77	tff(f3688,plain,(
65.67/9.77	  ~$less($sum(20,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f3528,f1344])).
65.67/9.77	tff(f3608,plain,(
65.67/9.77	  ~spl108_102 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f3524,f1342,f3605])).
65.67/9.77	tff(f3605,plain,(
65.67/9.77	  spl108_102 <=> $less($sum(19,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_102])])).
65.67/9.77	tff(f3524,plain,(
65.67/9.77	  ~$less($sum(19,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f3332,f1344])).
65.67/9.77	tff(f3387,plain,(
65.67/9.77	  ~spl108_101 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f3328,f1342,f3384])).
65.67/9.77	tff(f3384,plain,(
65.67/9.77	  spl108_101 <=> $less($sum(18,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_101])])).
65.67/9.77	tff(f3328,plain,(
65.67/9.77	  ~$less($sum(18,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f3216,f1344])).
65.67/9.77	tff(f3238,plain,(
65.67/9.77	  ~spl108_100 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f3212,f1342,f3235])).
65.67/9.77	tff(f3235,plain,(
65.67/9.77	  spl108_100 <=> $less($sum(17,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_100])])).
65.67/9.77	tff(f3212,plain,(
65.67/9.77	  ~$less($sum(17,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f3015,f1344])).
65.67/9.77	tff(f3108,plain,(
65.67/9.77	  ~spl108_99 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f3011,f1342,f3105])).
65.67/9.77	tff(f3105,plain,(
65.67/9.77	  spl108_99 <=> $less($sum(16,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_99])])).
65.67/9.77	tff(f3011,plain,(
65.67/9.77	  ~$less($sum(16,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2932,f1344])).
65.67/9.77	tff(f2944,plain,(
65.67/9.77	  ~spl108_98 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2928,f1342,f2941])).
65.67/9.77	tff(f2941,plain,(
65.67/9.77	  spl108_98 <=> $less($sum(15,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_98])])).
65.67/9.77	tff(f2928,plain,(
65.67/9.77	  ~$less($sum(15,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2864,f1344])).
65.67/9.77	tff(f2884,plain,(
65.67/9.77	  ~spl108_97 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2860,f1342,f2881])).
65.67/9.77	tff(f2881,plain,(
65.67/9.77	  spl108_97 <=> $less($sum(14,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_97])])).
65.67/9.77	tff(f2860,plain,(
65.67/9.77	  ~$less($sum(14,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2782,f1344])).
65.67/9.77	tff(f2810,plain,(
65.67/9.77	  ~spl108_96 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2778,f1342,f2807])).
65.67/9.77	tff(f2807,plain,(
65.67/9.77	  spl108_96 <=> $less($sum(13,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_96])])).
65.67/9.77	tff(f2778,plain,(
65.67/9.77	  ~$less($sum(13,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2723,f1344])).
65.67/9.77	tff(f2742,plain,(
65.67/9.77	  ~spl108_95 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2719,f1342,f2739])).
65.67/9.77	tff(f2739,plain,(
65.67/9.77	  spl108_95 <=> $less($sum(12,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_95])])).
65.67/9.77	tff(f2719,plain,(
65.67/9.77	  ~$less($sum(12,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2648,f1344])).
65.67/9.77	tff(f2705,plain,(
65.67/9.77	  spl108_93 | spl108_94),
65.67/9.77	  inference(avatar_split_clause,[],[f891,f2702,f2699])).
65.67/9.77	tff(f2699,plain,(
65.67/9.77	  spl108_93 <=> ! [X0 : vertex,X1 : $int,X3 : list_vertex] : (~path(s,X3,X0) | path(s,sK51(X0,X1),X0) | ~$less(path_weight(X3,X0),X1))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_93])])).
65.67/9.77	tff(f2702,plain,(
65.67/9.77	  spl108_94 <=> negative_cycle(sK50)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_94])])).
65.67/9.77	tff(f891,plain,(
65.67/9.77	  ( ! [X3 : list_vertex,X0 : vertex,X1 : $int] : (negative_cycle(sK50) | ~path(s,X3,X0) | ~$less(path_weight(X3,X0),X1) | path(s,sK51(X0,X1),X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f579])).
65.67/9.77	tff(f579,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : $int] : (negative_cycle(sK50) | ! [X3 : list_vertex] : (~path(s,X3,X0) | ~$less(path_weight(X3,X0),X1)) | ($less(path_weight(sK51(X0,X1),X0),X1) & $less(length1(sK51(X0,X1)),cardinal1(vertices)) & path(s,sK51(X0,X1),X0)))),
65.67/9.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51])],[f576,f578,f577])).
65.67/9.77	tff(f577,plain,(
65.67/9.77	  ? [X2 : vertex] : negative_cycle(X2) => negative_cycle(sK50)),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f578,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : $int] : (? [X4 : list_vertex] : ($less(path_weight(X4,X0),X1) & $less(length1(X4),cardinal1(vertices)) & path(s,X4,X0)) => ($less(path_weight(sK51(X0,X1),X0),X1) & $less(length1(sK51(X0,X1)),cardinal1(vertices)) & path(s,sK51(X0,X1),X0)))),
65.67/9.77	  introduced(choice_axiom,[])).
65.67/9.77	tff(f576,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : $int] : (? [X2 : vertex] : negative_cycle(X2) | ! [X3 : list_vertex] : (~path(s,X3,X0) | ~$less(path_weight(X3,X0),X1)) | ? [X4 : list_vertex] : ($less(path_weight(X4,X0),X1) & $less(length1(X4),cardinal1(vertices)) & path(s,X4,X0)))),
65.67/9.77	  inference(rectify,[],[f448])).
65.67/9.77	tff(f448,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : $int] : (? [X4 : vertex] : negative_cycle(X4) | ! [X3 : list_vertex] : (~path(s,X3,X0) | ~$less(path_weight(X3,X0),X1)) | ? [X2 : list_vertex] : ($less(path_weight(X2,X0),X1) & $less(length1(X2),cardinal1(vertices)) & path(s,X2,X0)))),
65.67/9.77	  inference(flattening,[],[f447])).
65.67/9.77	tff(f447,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : $int] : ((? [X4 : vertex] : negative_cycle(X4) | ! [X3 : list_vertex] : (~path(s,X3,X0) | ~$less(path_weight(X3,X0),X1))) | ? [X2 : list_vertex] : (($less(path_weight(X2,X0),X1) & $less(length1(X2),cardinal1(vertices))) & path(s,X2,X0)))),
65.67/9.77	  inference(ennf_transformation,[],[f311])).
65.67/9.77	tff(f311,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : $int] : (! [X2 : list_vertex] : (path(s,X2,X0) => ($less(length1(X2),cardinal1(vertices)) => ~$less(path_weight(X2,X0),X1))) => (? [X3 : list_vertex] : (path(s,X3,X0) & $less(path_weight(X3,X0),X1)) => ? [X4 : vertex] : negative_cycle(X4)))),
65.67/9.77	  inference(rectify,[],[f208])).
65.67/9.77	tff(f208,plain,(
65.67/9.77	  ! [X31 : vertex,X42 : $int] : (! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),cardinal1(vertices)) => ~$less(path_weight(X5,X31),X42))) => (? [X5 : list_vertex] : (path(s,X5,X31) & $less(path_weight(X5,X31),X42)) => ? [X15 : vertex] : negative_cycle(X15)))),
65.67/9.77	  inference(theory_normalization,[],[f66])).
65.67/9.77	tff(f66,axiom,(
65.67/9.77	  ! [X31 : vertex,X42 : $int] : (! [X5 : list_vertex] : (path(s,X5,X31) => ($less(length1(X5),cardinal1(vertices)) => $lesseq(X42,path_weight(X5,X31)))) => (? [X5 : list_vertex] : (path(s,X5,X31) & $less(path_weight(X5,X31),X42)) => ? [X15 : vertex] : negative_cycle(X15)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',key_lemma_1)).
65.67/9.77	tff(f2693,plain,(
65.67/9.77	  ~spl108_92 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2644,f1342,f2690])).
65.67/9.77	tff(f2690,plain,(
65.67/9.77	  spl108_92 <=> $less($sum(11,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_92])])).
65.67/9.77	tff(f2644,plain,(
65.67/9.77	  ~$less($sum(11,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2514,f1344])).
65.67/9.77	tff(f2530,plain,(
65.67/9.77	  ~spl108_91 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2510,f1342,f2527])).
65.67/9.77	tff(f2527,plain,(
65.67/9.77	  spl108_91 <=> $less($sum(10,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_91])])).
65.67/9.77	tff(f2510,plain,(
65.67/9.77	  ~$less($sum(10,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2494,f1344])).
65.67/9.77	tff(f2509,plain,(
65.67/9.77	  ~spl108_90 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2490,f1342,f2506])).
65.67/9.77	tff(f2506,plain,(
65.67/9.77	  spl108_90 <=> $less($sum(9,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_90])])).
65.67/9.77	tff(f2490,plain,(
65.67/9.77	  ~$less($sum(9,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2448,f1344])).
65.67/9.77	tff(f2464,plain,(
65.67/9.77	  ~spl108_89 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2444,f1342,f2461])).
65.67/9.77	tff(f2461,plain,(
65.67/9.77	  spl108_89 <=> $less($sum(8,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_89])])).
65.67/9.77	tff(f2444,plain,(
65.67/9.77	  ~$less($sum(8,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2407,f1344])).
65.67/9.77	tff(f2417,plain,(
65.67/9.77	  ~spl108_88 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2403,f1342,f2414])).
65.67/9.77	tff(f2414,plain,(
65.67/9.77	  spl108_88 <=> $less($sum(7,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_88])])).
65.67/9.77	tff(f2403,plain,(
65.67/9.77	  ~$less($sum(7,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2363,f1344])).
65.67/9.77	tff(f2395,plain,(
65.67/9.77	  ~spl108_87 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2359,f1342,f2392])).
65.67/9.77	tff(f2392,plain,(
65.67/9.77	  spl108_87 <=> $less($sum(6,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_87])])).
65.67/9.77	tff(f2359,plain,(
65.67/9.77	  ~$less($sum(6,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2337,f1344])).
65.67/9.77	tff(f2346,plain,(
65.67/9.77	  ~spl108_86 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2333,f1342,f2343])).
65.67/9.77	tff(f2343,plain,(
65.67/9.77	  spl108_86 <=> $less($sum(5,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_86])])).
65.67/9.77	tff(f2333,plain,(
65.67/9.77	  ~$less($sum(5,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2294,f1344])).
65.67/9.77	tff(f2315,plain,(
65.67/9.77	  ~spl108_85 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2288,f1342,f2312])).
65.67/9.77	tff(f2312,plain,(
65.67/9.77	  spl108_85 <=> $less($sum(4,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_85])])).
65.67/9.77	tff(f2288,plain,(
65.67/9.77	  ~$less($sum(4,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2260,f1344])).
65.67/9.77	tff(f2273,plain,(
65.67/9.77	  ~spl108_84 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2254,f1342,f2270])).
65.67/9.77	tff(f2270,plain,(
65.67/9.77	  spl108_84 <=> $less($sum(3,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_84])])).
65.67/9.77	tff(f2254,plain,(
65.67/9.77	  ~$less($sum(3,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2237,f1344])).
65.67/9.77	tff(f2244,plain,(
65.67/9.77	  ~spl108_83 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2231,f1342,f2241])).
65.67/9.77	tff(f2241,plain,(
65.67/9.77	  spl108_83 <=> $less($sum(2,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_83])])).
65.67/9.77	tff(f2231,plain,(
65.67/9.77	  ~$less($sum(2,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2209,f1344])).
65.67/9.77	tff(f2221,plain,(
65.67/9.77	  ~spl108_82 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f2203,f1342,f2218])).
65.67/9.77	tff(f2218,plain,(
65.67/9.77	  spl108_82 <=> $less($sum(1,sF98),0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_82])])).
65.67/9.77	tff(f2203,plain,(
65.67/9.77	  ~$less($sum(1,sF98),0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f2202,f1344])).
65.67/9.77	tff(f2158,plain,(
65.67/9.77	  ~spl108_81 | ~spl108_5 | ~spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f2149,f1457,f1236,f2155])).
65.67/9.77	tff(f1236,plain,(
65.67/9.77	  spl108_5 <=> mem2(sF96,sF97)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_5])])).
65.67/9.77	tff(f2149,plain,(
65.67/9.77	  ~mem2(sF96,sK6) | (~spl108_5 | ~spl108_42)),
65.67/9.77	  inference(resolution,[],[f1663,f1238])).
65.67/9.77	tff(f1238,plain,(
65.67/9.77	  mem2(sF96,sF97) | ~spl108_5),
65.67/9.77	  inference(avatar_component_clause,[],[f1236])).
65.67/9.77	tff(f1663,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp] : (~mem2(X0,sF97) | ~mem2(X0,sK6)) ) | ~spl108_42),
65.67/9.77	  inference(superposition,[],[f1032,f1459])).
65.67/9.77	tff(f1032,plain,(
65.67/9.77	  ( ! [X2 : lpvertexcm_vertexrp,X0 : set_lpvertexcm_vertexrp,X1 : set_lpvertexcm_vertexrp] : (~mem2(X2,diff2(X0,X1)) | ~mem2(X2,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f649])).
65.67/9.77	tff(f2128,plain,(
65.67/9.77	  spl108_80 | spl108_39 | ~spl108_72),
65.67/9.77	  inference(avatar_split_clause,[],[f2066,f1820,f1442,f2125])).
65.67/9.77	tff(f2125,plain,(
65.67/9.77	  spl108_80 <=> $sum(1,cardinal2(sK6)) = cardinal2(sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_80])])).
65.67/9.77	tff(f2066,plain,(
65.67/9.77	  $sum(1,cardinal2(sK6)) = cardinal2(sK3) | (spl108_39 | ~spl108_72)),
65.67/9.77	  inference(global_subsumption,[],[f1444,f2061])).
65.67/9.77	tff(f2061,plain,(
65.67/9.77	  $sum(1,cardinal2(sK6)) = cardinal2(sK3) | mem2(sF101,sK6) | ~spl108_72),
65.67/9.77	  inference(superposition,[],[f867,f1822])).
65.67/9.77	tff(f2078,plain,(
65.67/9.77	  spl108_79 | ~spl108_36 | ~spl108_78),
65.67/9.77	  inference(avatar_split_clause,[],[f2048,f2019,f1426,f2075])).
65.67/9.77	tff(f2019,plain,(
65.67/9.77	  spl108_78 <=> sF99 = finite(sK14(sK10))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_78])])).
65.67/9.77	tff(f2048,plain,(
65.67/9.77	  sK11 = sK14(sK10) | (~spl108_36 | ~spl108_78)),
65.67/9.77	  inference(forward_demodulation,[],[f2030,f1428])).
65.67/9.77	tff(f2030,plain,(
65.67/9.77	  finite_proj_1(sF99) = sK14(sK10) | ~spl108_78),
65.67/9.77	  inference(superposition,[],[f774,f2021])).
65.67/9.77	tff(f2021,plain,(
65.67/9.77	  sF99 = finite(sK14(sK10)) | ~spl108_78),
65.67/9.77	  inference(avatar_component_clause,[],[f2019])).
65.67/9.77	tff(f2022,plain,(
65.67/9.77	  spl108_78 | spl108_21 | ~spl108_43),
65.67/9.77	  inference(avatar_split_clause,[],[f2017,f1462,f1327,f2019])).
65.67/9.77	tff(f2017,plain,(
65.67/9.77	  sF99 = finite(sK14(sK10)) | (spl108_21 | ~spl108_43)),
65.67/9.77	  inference(global_subsumption,[],[f742,f1329,f2014])).
65.67/9.77	tff(f2014,plain,(
65.67/9.77	  sF99 = finite(sK14(sK10)) | infinite = sF99 | ~mem1(sK10,vertices) | ~spl108_43),
65.67/9.77	  inference(superposition,[],[f739,f1464])).
65.67/9.77	tff(f2005,plain,(
65.67/9.77	  spl108_63 | ~spl108_41 | ~spl108_61),
65.67/9.77	  inference(avatar_split_clause,[],[f1999,f1583,f1452,f1616])).
65.67/9.77	tff(f1999,plain,(
65.67/9.77	  edge(sK12,sK10) | (~spl108_41 | ~spl108_61)),
65.67/9.77	  inference(global_subsumption,[],[f1584,f1547])).
65.67/9.77	tff(f1547,plain,(
65.67/9.77	  ~mem2(sF96,sK2) | edge(sK12,sK10) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f1113,f1454])).
65.67/9.77	tff(f1113,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (~mem2(tuple22(X0,X1),sK2) | edge(X0,X1)) )),
65.67/9.77	  inference(definition_unfolding,[],[f902,f686])).
65.67/9.77	tff(f902,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (edge(X0,X1) | ~mem2(tuple22(X0,X1),edges)) )),
65.67/9.77	  inference(cnf_transformation,[],[f594])).
65.67/9.77	tff(f594,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex] : ((edge(X0,X1) | ~mem2(tuple22(X0,X1),edges)) & (mem2(tuple22(X0,X1),edges) | ~edge(X0,X1)))),
65.67/9.77	  inference(nnf_transformation,[],[f316])).
65.67/9.77	tff(f316,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex] : (edge(X0,X1) <=> mem2(tuple22(X0,X1),edges))),
65.67/9.77	  inference(rectify,[],[f10])).
65.67/9.77	tff(f10,axiom,(
65.67/9.77	  ! [X1 : vertex,X11 : vertex] : (edge(X1,X11) <=> mem2(tuple22(X1,X11),edges))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',edge_def)).
65.67/9.77	tff(f1998,plain,(
65.67/9.77	  ~spl108_41 | ~spl108_61 | spl108_63),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f1997])).
65.67/9.77	tff(f1997,plain,(
65.67/9.77	  $false | (~spl108_41 | ~spl108_61 | spl108_63)),
65.67/9.77	  inference(global_subsumption,[],[f1618,f1547,f1584])).
65.67/9.77	tff(f1618,plain,(
65.67/9.77	  ~edge(sK12,sK10) | spl108_63),
65.67/9.77	  inference(avatar_component_clause,[],[f1616])).
65.67/9.77	tff(f1996,plain,(
65.67/9.77	  ~spl108_5 | ~spl108_41 | ~spl108_42 | spl108_63),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f1995])).
65.67/9.77	tff(f1995,plain,(
65.67/9.77	  $false | (~spl108_5 | ~spl108_41 | ~spl108_42 | spl108_63)),
65.67/9.77	  inference(global_subsumption,[],[f1618,f1990,f1547])).
65.67/9.77	tff(f1990,plain,(
65.67/9.77	  mem2(sF96,sK2) | (~spl108_5 | ~spl108_42)),
65.67/9.77	  inference(resolution,[],[f1661,f1238])).
65.67/9.77	tff(f1661,plain,(
65.67/9.77	  ( ! [X0 : lpvertexcm_vertexrp] : (~mem2(X0,sF97) | mem2(X0,sK2)) ) | ~spl108_42),
65.67/9.77	  inference(superposition,[],[f1031,f1459])).
65.67/9.77	tff(f1994,plain,(
65.67/9.77	  ~spl108_5 | ~spl108_41 | ~spl108_42 | spl108_63),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f1993])).
65.67/9.77	tff(f1993,plain,(
65.67/9.77	  $false | (~spl108_5 | ~spl108_41 | ~spl108_42 | spl108_63)),
65.67/9.77	  inference(global_subsumption,[],[f1547,f1618,f1990])).
65.67/9.77	tff(f1992,plain,(
65.67/9.77	  ~spl108_5 | ~spl108_42 | spl108_61),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f1991])).
65.67/9.77	tff(f1991,plain,(
65.67/9.77	  $false | (~spl108_5 | ~spl108_42 | spl108_61)),
65.67/9.77	  inference(global_subsumption,[],[f1585,f1990])).
65.67/9.77	tff(f1585,plain,(
65.67/9.77	  ~mem2(sF96,sK2) | spl108_61),
65.67/9.77	  inference(avatar_component_clause,[],[f1583])).
65.67/9.77	tff(f1929,plain,(
65.67/9.77	  ~spl108_77 | ~spl108_16 | spl108_76),
65.67/9.77	  inference(avatar_split_clause,[],[f1921,f1912,f1293,f1926])).
65.67/9.77	tff(f1926,plain,(
65.67/9.77	  spl108_77 <=> sK11 = sF105),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_77])])).
65.67/9.77	tff(f1912,plain,(
65.67/9.77	  spl108_76 <=> $less(0,sK11)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_76])])).
65.67/9.77	tff(f1921,plain,(
65.67/9.77	  sK11 != sF105 | (~spl108_16 | spl108_76)),
65.67/9.77	  inference(constrained_resolution,[],[f1914,f1295])).
65.67/9.77	tff(f1914,plain,(
65.67/9.77	  ~$less(0,sK11) | spl108_76),
65.67/9.77	  inference(avatar_component_clause,[],[f1912])).
65.67/9.77	tff(f1915,plain,(
65.67/9.77	  ~spl108_76 | ~spl108_18 | spl108_75),
65.67/9.77	  inference(avatar_split_clause,[],[f1899,f1868,f1304,f1912])).
65.67/9.77	tff(f1868,plain,(
65.67/9.77	  spl108_75 <=> lt(finite(0),sF99)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_75])])).
65.67/9.77	tff(f1899,plain,(
65.67/9.77	  ~$less(0,sK11) | (~spl108_18 | spl108_75)),
65.67/9.77	  inference(resolution,[],[f1869,f1598])).
65.67/9.77	tff(f1598,plain,(
65.67/9.77	  ( ! [X0 : $int] : (lt(finite(X0),sF99) | ~$less(X0,sK11)) ) | ~spl108_18),
65.67/9.77	  inference(superposition,[],[f799,f1306])).
65.67/9.77	tff(f799,plain,(
65.67/9.77	  ( ! [X2 : $int,X1 : $int] : (lt(finite(X1),finite(X2)) | ~$less(X1,X2)) )),
65.67/9.77	  inference(cnf_transformation,[],[f539])).
65.67/9.77	tff(f539,plain,(
65.67/9.77	  ! [X0 : t] : (~lt(infinite,X0) & ! [X1 : $int] : (! [X2 : $int] : (($less(X1,X2) | ~lt(finite(X1),finite(X2))) & (lt(finite(X1),finite(X2)) | ~$less(X1,X2))) & lt(finite(X1),infinite)))),
65.67/9.77	  inference(nnf_transformation,[],[f241])).
65.67/9.77	tff(f241,plain,(
65.67/9.77	  ! [X0 : t] : (~lt(infinite,X0) & ! [X1 : $int] : (! [X2 : $int] : ($less(X1,X2) <=> lt(finite(X1),finite(X2))) & lt(finite(X1),infinite)))),
65.67/9.77	  inference(rectify,[],[f49])).
65.67/9.77	tff(f49,axiom,(
65.67/9.77	  ! [X11 : t] : (~lt(infinite,X11) & ! [X1 : $int] : (! [X38 : $int] : ($less(X1,X38) <=> lt(finite(X1),finite(X38))) & lt(finite(X1),infinite)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_def)).
65.67/9.77	tff(f1869,plain,(
65.67/9.77	  ~lt(finite(0),sF99) | spl108_75),
65.67/9.77	  inference(avatar_component_clause,[],[f1868])).
65.67/9.77	tff(f1871,plain,(
65.67/9.77	  ~spl108_74 | spl108_75 | ~spl108_18 | ~spl108_65),
65.67/9.77	  inference(avatar_split_clause,[],[f1654,f1640,f1304,f1868,f1864])).
65.67/9.77	tff(f1864,plain,(
65.67/9.77	  spl108_74 <=> 1 = sK11),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_74])])).
65.67/9.77	tff(f1640,plain,(
65.67/9.77	  spl108_65 <=> lt(finite(0),finite(1))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_65])])).
65.67/9.77	tff(f1654,plain,(
65.67/9.77	  lt(finite(0),sF99) | 1 != sK11 | (~spl108_18 | ~spl108_65)),
65.67/9.77	  inference(constrained_superposition,[],[f1642,f1306])).
65.67/9.77	tff(f1642,plain,(
65.67/9.77	  lt(finite(0),finite(1)) | ~spl108_65),
65.67/9.77	  inference(avatar_component_clause,[],[f1640])).
65.67/9.77	tff(f1854,plain,(
65.67/9.77	  spl108_60 | ~spl108_17),
65.67/9.77	  inference(avatar_split_clause,[],[f1853,f1299,f1579])).
65.67/9.77	tff(f1853,plain,(
65.67/9.77	  mem1(sK12,vertices) | ~spl108_17),
65.67/9.77	  inference(global_subsumption,[],[f750,f1842])).
65.67/9.77	tff(f1842,plain,(
65.67/9.77	  mem1(sK12,vertices) | ~mem1(s,vertices) | ~spl108_17),
65.67/9.77	  inference(resolution,[],[f976,f1301])).
65.67/9.77	tff(f976,plain,(
65.67/9.77	  ( ! [X2 : list_vertex,X0 : vertex,X1 : vertex] : (~path(X0,X2,X1) | mem1(X1,vertices) | ~mem1(X0,vertices)) )),
65.67/9.77	  inference(cnf_transformation,[],[f464])).
65.67/9.77	tff(f464,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex,X2 : list_vertex] : (mem1(X1,vertices) | ~path(X0,X2,X1) | ~mem1(X0,vertices))),
65.67/9.77	  inference(flattening,[],[f463])).
65.67/9.77	tff(f463,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex,X2 : list_vertex] : ((mem1(X1,vertices) | ~path(X0,X2,X1)) | ~mem1(X0,vertices))),
65.67/9.77	  inference(ennf_transformation,[],[f347])).
65.67/9.77	tff(f347,plain,(
65.67/9.77	  ! [X0 : vertex,X1 : vertex,X2 : list_vertex] : (mem1(X0,vertices) => (path(X0,X2,X1) => mem1(X1,vertices)))),
65.67/9.77	  inference(rectify,[],[f35])).
65.67/9.77	tff(f35,axiom,(
65.67/9.77	  ! [X25 : vertex,X26 : vertex,X5 : list_vertex] : (mem1(X25,vertices) => (path(X25,X5,X26) => mem1(X26,vertices)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_in_vertices)).
65.67/9.77	tff(f750,plain,(
65.67/9.77	  mem1(s,vertices)),
65.67/9.77	  inference(cnf_transformation,[],[f186])).
65.67/9.77	tff(f186,axiom,(
65.67/9.77	  mem1(s,vertices)),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_in_graph)).
65.67/9.77	tff(f1852,plain,(
65.67/9.77	  ~spl108_17 | spl108_60),
65.67/9.77	  inference(avatar_contradiction_clause,[],[f1851])).
65.67/9.77	tff(f1851,plain,(
65.67/9.77	  $false | (~spl108_17 | spl108_60)),
65.67/9.77	  inference(global_subsumption,[],[f750,f1580,f1842])).
65.67/9.77	tff(f1580,plain,(
65.67/9.77	  ~mem1(sK12,vertices) | spl108_60),
65.67/9.77	  inference(avatar_component_clause,[],[f1579])).
65.67/9.77	tff(f1840,plain,(
65.67/9.77	  spl108_73 | ~spl108_19 | ~spl108_72),
65.67/9.77	  inference(avatar_split_clause,[],[f1834,f1820,f1309,f1837])).
65.67/9.77	tff(f1834,plain,(
65.67/9.77	  sK6 = remove2(sF101,sK6) | (~spl108_19 | ~spl108_72)),
65.67/9.77	  inference(forward_demodulation,[],[f1831,f1311])).
65.67/9.77	tff(f1831,plain,(
65.67/9.77	  remove2(sF101,sK3) = remove2(sF101,sK6) | ~spl108_72),
65.67/9.77	  inference(superposition,[],[f851,f1822])).
65.67/9.77	tff(f1823,plain,(
65.67/9.77	  spl108_72 | ~spl108_19),
65.67/9.77	  inference(avatar_split_clause,[],[f1816,f1309,f1820])).
65.67/9.77	tff(f1816,plain,(
65.67/9.77	  sK3 = add2(sF101,sK6) | ~spl108_19),
65.67/9.77	  inference(global_subsumption,[],[f1174,f1811])).
65.67/9.77	tff(f1811,plain,(
65.67/9.77	  sK3 = add2(sF101,sK6) | ~mem2(sF101,sK3) | ~spl108_19),
65.67/9.77	  inference(superposition,[],[f871,f1311])).
65.67/9.77	tff(f1174,plain,(
65.67/9.77	  mem2(sF101,sK3)),
65.67/9.77	  inference(definition_folding,[],[f707,f1153])).
65.67/9.77	tff(f707,plain,(
65.67/9.77	  mem2(tuple22(sK7,sK8),sK3)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1777,plain,(
65.67/9.77	  spl108_71 | ~spl108_48),
65.67/9.77	  inference(avatar_split_clause,[],[f1770,f1490,f1774])).
65.67/9.77	tff(f1774,plain,(
65.67/9.77	  spl108_71 <=> 0 = cardinal2(empty2)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_71])])).
65.67/9.77	tff(f1490,plain,(
65.67/9.77	  spl108_48 <=> is_empty(tuple2(vertex1,vertex1),t2tb4(empty2))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_48])])).
65.67/9.77	tff(f1770,plain,(
65.67/9.77	  0 = cardinal2(empty2) | ~spl108_48),
65.67/9.77	  inference(resolution,[],[f829,f1492])).
65.67/9.77	tff(f1492,plain,(
65.67/9.77	  is_empty(tuple2(vertex1,vertex1),t2tb4(empty2)) | ~spl108_48),
65.67/9.77	  inference(avatar_component_clause,[],[f1490])).
65.67/9.77	tff(f829,plain,(
65.67/9.77	  ( ! [X0 : set_lpvertexcm_vertexrp] : (~is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) | 0 = cardinal2(X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f548])).
65.67/9.77	tff(f548,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : ((0 = cardinal2(X0) | ~is_empty(tuple2(vertex1,vertex1),t2tb4(X0))) & (is_empty(tuple2(vertex1,vertex1),t2tb4(X0)) | 0 != cardinal2(X0)))),
65.67/9.77	  inference(nnf_transformation,[],[f264])).
65.67/9.77	tff(f264,plain,(
65.67/9.77	  ! [X0 : set_lpvertexcm_vertexrp] : (0 = cardinal2(X0) <=> is_empty(tuple2(vertex1,vertex1),t2tb4(X0)))),
65.67/9.77	  inference(rectify,[],[f78])).
65.67/9.77	tff(f78,axiom,(
65.67/9.77	  ! [X2 : set_lpvertexcm_vertexrp] : (cardinal2(X2) = 0 <=> is_empty(tuple2(vertex1,vertex1),t2tb4(X2)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_empty)).
65.67/9.77	tff(f1710,plain,(
65.67/9.77	  ~spl108_70 | spl108_21 | ~spl108_54),
65.67/9.77	  inference(avatar_split_clause,[],[f1704,f1530,f1327,f1707])).
65.67/9.77	tff(f1707,plain,(
65.67/9.77	  spl108_70 <=> le(infinite,sF99)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_70])])).
65.67/9.77	tff(f1530,plain,(
65.67/9.77	  spl108_54 <=> le(sF99,infinite)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_54])])).
65.67/9.77	tff(f1704,plain,(
65.67/9.77	  ~le(infinite,sF99) | (spl108_21 | ~spl108_54)),
65.67/9.77	  inference(global_subsumption,[],[f1329,f1702])).
65.67/9.77	tff(f1702,plain,(
65.67/9.77	  infinite = sF99 | ~le(infinite,sF99) | ~spl108_54),
65.67/9.77	  inference(resolution,[],[f868,f1532])).
65.67/9.77	tff(f1532,plain,(
65.67/9.77	  le(sF99,infinite) | ~spl108_54),
65.67/9.77	  inference(avatar_component_clause,[],[f1530])).
65.67/9.77	tff(f868,plain,(
65.67/9.77	  ( ! [X0 : t,X1 : t] : (~le(X1,X0) | X0 = X1 | ~le(X0,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f426])).
65.67/9.77	tff(f426,plain,(
65.67/9.77	  ! [X0 : t,X1 : t] : (X0 = X1 | ~le(X1,X0) | ~le(X0,X1))),
65.67/9.77	  inference(flattening,[],[f425])).
65.67/9.77	tff(f425,plain,(
65.67/9.77	  ! [X0 : t,X1 : t] : ((X0 = X1 | ~le(X1,X0)) | ~le(X0,X1))),
65.67/9.77	  inference(ennf_transformation,[],[f294])).
65.67/9.77	tff(f294,plain,(
65.67/9.77	  ! [X0 : t,X1 : t] : (le(X0,X1) => (le(X1,X0) => X0 = X1))),
65.67/9.77	  inference(rectify,[],[f169])).
65.67/9.77	tff(f169,axiom,(
65.67/9.77	  ! [X1 : t,X11 : t] : (le(X1,X11) => (le(X11,X1) => X1 = X11))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymm)).
65.67/9.77	tff(f1697,plain,(
65.67/9.77	  spl108_69 | ~spl108_65),
65.67/9.77	  inference(avatar_split_clause,[],[f1650,f1640,f1694])).
65.67/9.77	tff(f1694,plain,(
65.67/9.77	  spl108_69 <=> le(finite(0),finite(1))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_69])])).
65.67/9.77	tff(f1650,plain,(
65.67/9.77	  le(finite(0),finite(1)) | ~spl108_65),
65.67/9.77	  inference(resolution,[],[f1642,f913])).
65.67/9.77	tff(f913,plain,(
65.67/9.77	  ( ! [X0 : t,X1 : t] : (~lt(X0,X1) | le(X0,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f602])).
65.67/9.77	tff(f602,plain,(
65.67/9.77	  ! [X0 : t,X1 : t] : ((lt(X0,X1) | X0 = X1 | ~le(X0,X1)) & (le(X0,X1) | (~lt(X0,X1) & X0 != X1)))),
65.67/9.77	  inference(flattening,[],[f601])).
65.67/9.77	tff(f601,plain,(
65.67/9.77	  ! [X0 : t,X1 : t] : (((lt(X0,X1) | X0 = X1) | ~le(X0,X1)) & (le(X0,X1) | (~lt(X0,X1) & X0 != X1)))),
65.67/9.77	  inference(nnf_transformation,[],[f323])).
65.67/9.77	tff(f323,plain,(
65.67/9.77	  ! [X0 : t,X1 : t] : ((lt(X0,X1) | X0 = X1) <=> le(X0,X1))),
65.67/9.77	  inference(rectify,[],[f89])).
65.67/9.77	tff(f89,axiom,(
65.67/9.77	  ! [X1 : t,X11 : t] : ((lt(X1,X11) | X1 = X11) <=> le(X1,X11))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',le_def)).
65.67/9.77	tff(f1673,plain,(
65.67/9.77	  ~spl108_67 | ~spl108_68 | ~spl108_18 | spl108_66),
65.67/9.77	  inference(avatar_split_clause,[],[f1659,f1645,f1304,f1670,f1666])).
65.67/9.77	tff(f1666,plain,(
65.67/9.77	  spl108_67 <=> 0 = sK11),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_67])])).
65.67/9.77	tff(f1670,plain,(
65.67/9.77	  spl108_68 <=> lt(sF99,sF99)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_68])])).
65.67/9.77	tff(f1645,plain,(
65.67/9.77	  spl108_66 <=> lt(finite(0),finite(0))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_66])])).
65.67/9.77	tff(f1659,plain,(
65.67/9.77	  ~lt(sF99,sF99) | 0 != sK11 | (~spl108_18 | spl108_66)),
65.67/9.77	  inference(constrained_superposition,[],[f1647,f1306])).
65.67/9.77	tff(f1647,plain,(
65.67/9.77	  ~lt(finite(0),finite(0)) | spl108_66),
65.67/9.77	  inference(avatar_component_clause,[],[f1645])).
65.67/9.77	tff(f1648,plain,(
65.67/9.77	  ~spl108_66),
65.67/9.77	  inference(avatar_split_clause,[],[f1600,f1645])).
65.67/9.77	tff(f1600,plain,(
65.67/9.77	  ~lt(finite(0),finite(0))),
65.67/9.77	  inference(interpreted_simplification,[],[f1599])).
65.67/9.77	tff(f1599,plain,(
65.67/9.77	  ~lt(finite(0),finite(0)) | $less(0,0)),
65.67/9.77	  inference(instantiation,[],[f800])).
65.67/9.77	tff(f800,plain,(
65.67/9.77	  ( ! [X2 : $int,X1 : $int] : (~lt(finite(X1),finite(X2)) | $less(X1,X2)) )),
65.67/9.77	  inference(cnf_transformation,[],[f539])).
65.67/9.77	tff(f1643,plain,(
65.67/9.77	  spl108_65),
65.67/9.77	  inference(avatar_split_clause,[],[f1595,f1640])).
65.67/9.77	tff(f1595,plain,(
65.67/9.77	  lt(finite(0),finite(1))),
65.67/9.77	  inference(interpreted_simplification,[],[f1594])).
65.67/9.77	tff(f1594,plain,(
65.67/9.77	  lt(finite(0),finite(1)) | ~$less(0,1)),
65.67/9.77	  inference(instantiation,[],[f799])).
65.67/9.77	tff(f1628,plain,(
65.67/9.77	  spl108_64 | ~spl108_20),
65.67/9.77	  inference(avatar_split_clause,[],[f1623,f1314,f1625])).
65.67/9.77	tff(f1625,plain,(
65.67/9.77	  spl108_64 <=> 0 = cardinal1(empty1)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_64])])).
65.67/9.77	tff(f1314,plain,(
65.67/9.77	  spl108_20 <=> is_empty(vertex1,t2tb5(empty1))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_20])])).
65.67/9.77	tff(f1623,plain,(
65.67/9.77	  0 = cardinal1(empty1) | ~spl108_20),
65.67/9.77	  inference(resolution,[],[f825,f1316])).
65.67/9.77	tff(f1316,plain,(
65.67/9.77	  is_empty(vertex1,t2tb5(empty1)) | ~spl108_20),
65.67/9.77	  inference(avatar_component_clause,[],[f1314])).
65.67/9.77	tff(f825,plain,(
65.67/9.77	  ( ! [X0 : set_vertex] : (~is_empty(vertex1,t2tb5(X0)) | 0 = cardinal1(X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f546])).
65.67/9.77	tff(f546,plain,(
65.67/9.77	  ! [X0 : set_vertex] : ((0 = cardinal1(X0) | ~is_empty(vertex1,t2tb5(X0))) & (is_empty(vertex1,t2tb5(X0)) | 0 != cardinal1(X0)))),
65.67/9.77	  inference(nnf_transformation,[],[f262])).
65.67/9.77	tff(f262,plain,(
65.67/9.77	  ! [X0 : set_vertex] : (0 = cardinal1(X0) <=> is_empty(vertex1,t2tb5(X0)))),
65.67/9.77	  inference(rectify,[],[f82])).
65.67/9.77	tff(f82,axiom,(
65.67/9.77	  ! [X2 : set_vertex] : (0 = cardinal1(X2) <=> is_empty(vertex1,t2tb5(X2)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_empty1)).
65.67/9.77	tff(f1619,plain,(
65.67/9.77	  ~spl108_63 | ~spl108_41 | spl108_61),
65.67/9.77	  inference(avatar_split_clause,[],[f1587,f1583,f1452,f1616])).
65.67/9.77	tff(f1587,plain,(
65.67/9.77	  ~edge(sK12,sK10) | (~spl108_41 | spl108_61)),
65.67/9.77	  inference(subsumption_resolution,[],[f1553,f1585])).
65.67/9.77	tff(f1553,plain,(
65.67/9.77	  mem2(sF96,sK2) | ~edge(sK12,sK10) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f1114,f1454])).
65.67/9.77	tff(f1114,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (mem2(tuple22(X0,X1),sK2) | ~edge(X0,X1)) )),
65.67/9.77	  inference(definition_unfolding,[],[f901,f686])).
65.67/9.77	tff(f901,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (mem2(tuple22(X0,X1),edges) | ~edge(X0,X1)) )),
65.67/9.77	  inference(cnf_transformation,[],[f594])).
65.67/9.77	tff(f1593,plain,(
65.67/9.77	  ~spl108_62 | spl108_60),
65.67/9.77	  inference(avatar_split_clause,[],[f1588,f1579,f1590])).
65.67/9.77	tff(f1588,plain,(
65.67/9.77	  ~negative_cycle(sK12) | spl108_60),
65.67/9.77	  inference(resolution,[],[f1580,f820])).
65.67/9.77	tff(f820,plain,(
65.67/9.77	  ( ! [X0 : vertex] : (mem1(X0,vertices) | ~negative_cycle(X0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f545])).
65.67/9.77	tff(f1586,plain,(
65.67/9.77	  spl108_60 | ~spl108_61 | ~spl108_41),
65.67/9.77	  inference(avatar_split_clause,[],[f1544,f1452,f1583,f1579])).
65.67/9.77	tff(f1544,plain,(
65.67/9.77	  ~mem2(sF96,sK2) | mem1(sK12,vertices) | ~spl108_41),
65.67/9.77	  inference(superposition,[],[f1112,f1454])).
65.67/9.77	tff(f1112,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (~mem2(tuple22(X0,X1),sK2) | mem1(X0,vertices)) )),
65.67/9.77	  inference(definition_unfolding,[],[f886,f686])).
65.67/9.77	tff(f886,plain,(
65.67/9.77	  ( ! [X0 : vertex,X1 : vertex] : (mem1(X0,vertices) | ~mem2(tuple22(X0,X1),edges)) )),
65.67/9.77	  inference(cnf_transformation,[],[f443])).
65.67/9.77	tff(f1571,plain,(
65.67/9.77	  spl108_59 | ~spl108_44),
65.67/9.77	  inference(avatar_split_clause,[],[f1549,f1467,f1568])).
65.67/9.77	tff(f1568,plain,(
65.67/9.77	  spl108_59 <=> edge(sK7,sK8)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_59])])).
65.67/9.77	tff(f1549,plain,(
65.67/9.77	  edge(sK7,sK8) | ~spl108_44),
65.67/9.77	  inference(global_subsumption,[],[f1171,f1548])).
65.67/9.77	tff(f1548,plain,(
65.67/9.77	  ~mem2(sF101,sK2) | edge(sK7,sK8) | ~spl108_44),
65.67/9.77	  inference(superposition,[],[f1113,f1469])).
65.67/9.77	tff(f1566,plain,(
65.67/9.77	  spl108_58 | ~spl108_44),
65.67/9.77	  inference(avatar_split_clause,[],[f1546,f1467,f1563])).
65.67/9.77	tff(f1563,plain,(
65.67/9.77	  spl108_58 <=> mem1(sK7,vertices)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_58])])).
65.67/9.77	tff(f1546,plain,(
65.67/9.77	  mem1(sK7,vertices) | ~spl108_44),
65.67/9.77	  inference(global_subsumption,[],[f1171,f1545])).
65.67/9.77	tff(f1545,plain,(
65.67/9.77	  ~mem2(sF101,sK2) | mem1(sK7,vertices) | ~spl108_44),
65.67/9.77	  inference(superposition,[],[f1112,f1469])).
65.67/9.77	tff(f1561,plain,(
65.67/9.77	  spl108_56 | spl108_57),
65.67/9.77	  inference(avatar_split_clause,[],[f1187,f1559,f1556])).
65.67/9.77	tff(f1556,plain,(
65.67/9.77	  spl108_56 <=> ! [X0 : map_vertex_t19] : (~inv2(X0,sK2) | ~inv1(X0,sF105,empty2))),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_56])])).
65.67/9.77	tff(f1559,plain,(
65.67/9.77	  spl108_57 <=> ! [X1 : vertex] : ~negative_cycle(X1)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_57])])).
65.67/9.77	tff(f1187,plain,(
65.67/9.77	  ( ! [X0 : map_vertex_t19,X1 : vertex] : (~negative_cycle(X1) | ~inv2(X0,sK2) | ~inv1(X0,sF105,empty2)) )),
65.67/9.77	  inference(definition_folding,[],[f1110,f1182])).
65.67/9.77	tff(f1182,plain,(
65.67/9.77	  cardinal1(vertices) = sF105),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1110,plain,(
65.67/9.77	  ( ! [X0 : map_vertex_t19,X1 : vertex] : (~negative_cycle(X1) | ~inv2(X0,sK2) | ~inv1(X0,cardinal1(vertices),empty2)) )),
65.67/9.77	  inference(definition_unfolding,[],[f814,f686])).
65.67/9.77	tff(f814,plain,(
65.67/9.77	  ( ! [X0 : map_vertex_t19,X1 : vertex] : (~negative_cycle(X1) | ~inv2(X0,edges) | ~inv1(X0,cardinal1(vertices),empty2)) )),
65.67/9.77	  inference(cnf_transformation,[],[f416])).
65.67/9.77	tff(f416,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19] : (! [X1 : vertex] : ~negative_cycle(X1) | ~inv2(X0,edges) | ~inv1(X0,cardinal1(vertices),empty2))),
65.67/9.77	  inference(flattening,[],[f415])).
65.67/9.77	tff(f415,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19] : ((! [X1 : vertex] : ~negative_cycle(X1) | ~inv2(X0,edges)) | ~inv1(X0,cardinal1(vertices),empty2))),
65.67/9.77	  inference(ennf_transformation,[],[f252])).
65.67/9.77	tff(f252,plain,(
65.67/9.77	  ! [X0 : map_vertex_t19] : (inv1(X0,cardinal1(vertices),empty2) => (inv2(X0,edges) => ! [X1 : vertex] : ~negative_cycle(X1)))),
65.67/9.77	  inference(rectify,[],[f174])).
65.67/9.77	tff(f174,axiom,(
65.67/9.77	  ! [X27 : map_vertex_t19] : (inv1(X27,cardinal1(vertices),empty2) => (inv2(X27,edges) => ! [X31 : vertex] : ~negative_cycle(X31)))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',key_lemma_2)).
65.67/9.77	tff(f1543,plain,(
65.67/9.77	  spl108_55 | ~spl108_44),
65.67/9.77	  inference(avatar_split_clause,[],[f1538,f1467,f1540])).
65.67/9.77	tff(f1533,plain,(
65.67/9.77	  spl108_54 | ~spl108_22),
65.67/9.77	  inference(avatar_split_clause,[],[f1527,f1337,f1530])).
65.67/9.77	tff(f1337,plain,(
65.67/9.77	  spl108_22 <=> lt(sF99,infinite)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_22])])).
65.67/9.77	tff(f1527,plain,(
65.67/9.77	  le(sF99,infinite) | ~spl108_22),
65.67/9.77	  inference(resolution,[],[f913,f1339])).
65.67/9.77	tff(f1339,plain,(
65.67/9.77	  lt(sF99,infinite) | ~spl108_22),
65.67/9.77	  inference(avatar_component_clause,[],[f1337])).
65.67/9.77	tff(f1525,plain,(
65.67/9.77	  spl108_52 | ~spl108_53 | ~spl108_32),
65.67/9.77	  inference(avatar_split_clause,[],[f1402,f1397,f1522,f1519])).
65.67/9.77	tff(f1519,plain,(
65.67/9.77	  spl108_52 <=> ! [X0 : list_vertex] : 1 != length1(X0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_52])])).
65.67/9.77	tff(f1522,plain,(
65.67/9.77	  spl108_53 <=> 0 = sF107),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_53])])).
65.67/9.77	tff(f1397,plain,(
65.67/9.77	  spl108_32 <=> $less(1,sF107)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_32])])).
65.67/9.77	tff(f1402,plain,(
65.67/9.77	  ( ! [X0 : list_vertex] : (0 != sF107 | 1 != length1(X0)) ) | ~spl108_32),
65.67/9.77	  inference(constrained_resolution,[],[f1399,f768])).
65.67/9.77	tff(f1399,plain,(
65.67/9.77	  $less(1,sF107) | ~spl108_32),
65.67/9.77	  inference(avatar_component_clause,[],[f1397])).
65.67/9.77	tff(f1512,plain,(
65.67/9.77	  spl108_51 | ~spl108_18),
65.67/9.77	  inference(avatar_split_clause,[],[f1506,f1304,f1509])).
65.67/9.77	tff(f1509,plain,(
65.67/9.77	  spl108_51 <=> infinite = add3(sF99,infinite)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_51])])).
65.67/9.77	tff(f1506,plain,(
65.67/9.77	  infinite = add3(sF99,infinite) | ~spl108_18),
65.67/9.77	  inference(superposition,[],[f795,f1306])).
65.67/9.77	tff(f795,plain,(
65.67/9.77	  ( ! [X1 : $int] : (infinite = add3(finite(X1),infinite)) )),
65.67/9.77	  inference(cnf_transformation,[],[f239])).
65.67/9.77	tff(f1503,plain,(
65.67/9.77	  spl108_50),
65.67/9.77	  inference(avatar_split_clause,[],[f754,f1500])).
65.67/9.77	tff(f754,plain,(
65.67/9.77	  0 = length1(tb2t3(nil(vertex1)))),
65.67/9.77	  inference(cnf_transformation,[],[f213])).
65.67/9.77	tff(f1498,plain,(
65.67/9.77	  spl108_49 | ~spl108_46),
65.67/9.77	  inference(avatar_split_clause,[],[f1486,f1477,f1495])).
65.67/9.77	tff(f1486,plain,(
65.67/9.77	  mem2(sF101,sF103) | ~spl108_46),
65.67/9.77	  inference(superposition,[],[f1136,f1479])).
65.67/9.77	tff(f1493,plain,(
65.67/9.77	  spl108_48),
65.67/9.77	  inference(avatar_split_clause,[],[f753,f1490])).
65.67/9.77	tff(f753,plain,(
65.67/9.77	  is_empty(tuple2(vertex1,vertex1),t2tb4(empty2))),
65.67/9.77	  inference(cnf_transformation,[],[f167])).
65.67/9.77	tff(f167,axiom,(
65.67/9.77	  is_empty(tuple2(vertex1,vertex1),t2tb4(empty2))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_def1)).
65.67/9.77	tff(f1485,plain,(
65.67/9.77	  spl108_47),
65.67/9.77	  inference(avatar_split_clause,[],[f1192,f1482])).
65.67/9.77	tff(f1192,plain,(
65.67/9.77	  sF107 = $sum(sF105,-1)),
65.67/9.77	  inference(backward_demodulation,[],[f1184,f1191])).
65.67/9.77	tff(f1191,plain,(
65.67/9.77	  sF106 = -1),
65.67/9.77	  inference(evaluation,[],[f1183])).
65.67/9.77	tff(f1183,plain,(
65.67/9.77	  $uminus(1) = sF106),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1184,plain,(
65.67/9.77	  $sum(sF105,sF106) = sF107),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1480,plain,(
65.67/9.77	  spl108_46),
65.67/9.77	  inference(avatar_split_clause,[],[f1155,f1477])).
65.67/9.77	tff(f1475,plain,(
65.67/9.77	  spl108_45),
65.67/9.77	  inference(avatar_split_clause,[],[f1154,f1472])).
65.67/9.77	tff(f1470,plain,(
65.67/9.77	  spl108_44),
65.67/9.77	  inference(avatar_split_clause,[],[f1153,f1467])).
65.67/9.77	tff(f1465,plain,(
65.67/9.77	  spl108_43),
65.67/9.77	  inference(avatar_split_clause,[],[f1150,f1462])).
65.67/9.77	tff(f1150,plain,(
65.67/9.77	  get1(sK9,sK10) = sF99),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1460,plain,(
65.67/9.77	  spl108_42),
65.67/9.77	  inference(avatar_split_clause,[],[f1146,f1457])).
65.67/9.77	tff(f1146,plain,(
65.67/9.77	  diff2(sK2,sK6) = sF97),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1455,plain,(
65.67/9.77	  spl108_41),
65.67/9.77	  inference(avatar_split_clause,[],[f1145,f1452])).
65.67/9.77	tff(f1145,plain,(
65.67/9.77	  tuple22(sK12,sK10) = sF96),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1450,plain,(
65.67/9.77	  spl108_40),
65.67/9.77	  inference(avatar_split_clause,[],[f1143,f1447])).
65.67/9.77	tff(f1445,plain,(
65.67/9.77	  ~spl108_39 | ~spl108_19),
65.67/9.77	  inference(avatar_split_clause,[],[f1430,f1309,f1442])).
65.67/9.77	tff(f1430,plain,(
65.67/9.77	  ~mem2(sF101,sK6) | ~spl108_19),
65.67/9.77	  inference(superposition,[],[f1137,f1311])).
65.67/9.77	tff(f1137,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (~mem2(X1,remove2(X1,X2))) )),
65.67/9.77	  inference(equality_resolution,[],[f1029])).
65.67/9.77	tff(f1029,plain,(
65.67/9.77	  ( ! [X2 : set_lpvertexcm_vertexrp,X0 : lpvertexcm_vertexrp,X1 : lpvertexcm_vertexrp] : (X0 != X1 | ~mem2(X0,remove2(X1,X2))) )),
65.67/9.77	  inference(cnf_transformation,[],[f647])).
65.67/9.77	tff(f1440,plain,(
65.67/9.77	  spl108_38),
65.67/9.77	  inference(avatar_split_clause,[],[f1142,f1437])).
65.67/9.77	tff(f1435,plain,(
65.67/9.77	  spl108_37),
65.67/9.77	  inference(avatar_split_clause,[],[f1141,f1432])).
65.67/9.77	tff(f1429,plain,(
65.67/9.77	  spl108_36 | ~spl108_18),
65.67/9.77	  inference(avatar_split_clause,[],[f1405,f1304,f1426])).
65.67/9.77	tff(f1405,plain,(
65.67/9.77	  sK11 = finite_proj_1(sF99) | ~spl108_18),
65.67/9.77	  inference(superposition,[],[f774,f1306])).
65.67/9.77	tff(f1424,plain,(
65.67/9.77	  ~spl108_35 | ~spl108_24),
65.67/9.77	  inference(avatar_split_clause,[],[f1357,f1347,f1421])).
65.67/9.77	tff(f1421,plain,(
65.67/9.77	  spl108_35 <=> $less(sF105,0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_35])])).
65.67/9.77	tff(f1357,plain,(
65.67/9.77	  ~$less(sF105,0) | ~spl108_24),
65.67/9.77	  inference(superposition,[],[f767,f1349])).
65.67/9.77	tff(f767,plain,(
65.67/9.77	  ( ! [X0 : set_vertex] : (~$less(cardinal1(X0),0)) )),
65.67/9.77	  inference(cnf_transformation,[],[f220])).
65.67/9.77	tff(f220,plain,(
65.67/9.77	  ! [X0 : set_vertex] : ~$less(cardinal1(X0),0)),
65.67/9.77	  inference(rectify,[],[f201])).
65.67/9.77	tff(f201,plain,(
65.67/9.77	  ! [X2 : set_vertex] : ~$less(cardinal1(X2),0)),
65.67/9.77	  inference(theory_normalization,[],[f48])).
65.67/9.77	tff(f48,axiom,(
65.67/9.77	  ! [X2 : set_vertex] : $lesseq(0,cardinal1(X2))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_nonneg1)).
65.67/9.77	tff(f1417,plain,(
65.67/9.77	  ~spl108_34 | ~spl108_6 | spl108_25),
65.67/9.77	  inference(avatar_split_clause,[],[f1412,f1353,f1241,f1414])).
65.67/9.77	tff(f1414,plain,(
65.67/9.77	  spl108_34 <=> 0 = sK1),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_34])])).
65.67/9.77	tff(f1241,plain,(
65.67/9.77	  spl108_6 <=> $less(sF98,sK1)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_6])])).
65.67/9.77	tff(f1353,plain,(
65.67/9.77	  spl108_25 <=> $less(sF98,0)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_25])])).
65.67/9.77	tff(f1412,plain,(
65.67/9.77	  0 != sK1 | (~spl108_6 | spl108_25)),
65.67/9.77	  inference(constrained_resolution,[],[f1355,f1243])).
65.67/9.77	tff(f1243,plain,(
65.67/9.77	  $less(sF98,sK1) | ~spl108_6),
65.67/9.77	  inference(avatar_component_clause,[],[f1241])).
65.67/9.77	tff(f1355,plain,(
65.67/9.77	  ~$less(sF98,0) | spl108_25),
65.67/9.77	  inference(avatar_component_clause,[],[f1353])).
65.67/9.77	tff(f1410,plain,(
65.67/9.77	  spl108_33 | ~spl108_12),
65.67/9.77	  inference(avatar_split_clause,[],[f1372,f1271,f1407])).
65.67/9.77	tff(f1271,plain,(
65.67/9.77	  spl108_12 <=> mem2(sK19,sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_12])])).
65.67/9.77	tff(f1372,plain,(
65.67/9.77	  mem2(sK19,sK2) | ~spl108_12),
65.67/9.77	  inference(resolution,[],[f1102,f1273])).
65.67/9.77	tff(f1273,plain,(
65.67/9.77	  mem2(sK19,sK3) | ~spl108_12),
65.67/9.77	  inference(avatar_component_clause,[],[f1271])).
65.67/9.77	tff(f1400,plain,(
65.67/9.77	  spl108_31 | spl108_32),
65.67/9.77	  inference(avatar_split_clause,[],[f1186,f1397,f1393])).
65.67/9.77	tff(f1393,plain,(
65.67/9.77	  spl108_31 <=> 1 = sF107),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_31])])).
65.67/9.77	tff(f1186,plain,(
65.67/9.77	  $less(1,sF107) | 1 = sF107),
65.67/9.77	  inference(definition_folding,[],[f668,f1184,f1183,f1182,f1184,f1183,f1182])).
65.67/9.77	tff(f668,plain,(
65.67/9.77	  $less(1,$sum(cardinal1(vertices),$uminus(1))) | 1 = $sum(cardinal1(vertices),$uminus(1))),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1387,plain,(
65.67/9.77	  spl108_29 | spl108_30),
65.67/9.77	  inference(avatar_split_clause,[],[f1185,f1384,f1380])).
65.67/9.77	tff(f1380,plain,(
65.67/9.77	  spl108_29 <=> sK1 = sF107),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_29])])).
65.67/9.77	tff(f1384,plain,(
65.67/9.77	  spl108_30 <=> $less(sK1,sF107)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_30])])).
65.67/9.77	tff(f1185,plain,(
65.67/9.77	  $less(sK1,sF107) | sK1 = sF107),
65.67/9.77	  inference(definition_folding,[],[f669,f1184,f1183,f1182,f1184,f1183,f1182])).
65.67/9.77	tff(f669,plain,(
65.67/9.77	  $less(sK1,$sum(cardinal1(vertices),$uminus(1))) | $sum(cardinal1(vertices),$uminus(1)) = sK1),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1378,plain,(
65.67/9.77	  spl108_28 | ~spl108_2),
65.67/9.77	  inference(avatar_split_clause,[],[f1371,f1221,f1375])).
65.67/9.77	tff(f1371,plain,(
65.67/9.77	  mem2(sK18,sK2) | ~spl108_2),
65.67/9.77	  inference(resolution,[],[f1102,f1223])).
65.67/9.77	tff(f1366,plain,(
65.67/9.77	  spl108_26 | spl108_27),
65.67/9.77	  inference(avatar_split_clause,[],[f726,f1363,f1359])).
65.67/9.77	tff(f1359,plain,(
65.67/9.77	  spl108_26 <=> 1 = sK1),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_26])])).
65.67/9.77	tff(f1363,plain,(
65.67/9.77	  spl108_27 <=> $less(1,sK1)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_27])])).
65.67/9.77	tff(f726,plain,(
65.67/9.77	  $less(1,sK1) | 1 = sK1),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1356,plain,(
65.67/9.77	  ~spl108_25 | ~spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f1351,f1342,f1353])).
65.67/9.77	tff(f1351,plain,(
65.67/9.77	  ~$less(sF98,0) | ~spl108_23),
65.67/9.77	  inference(superposition,[],[f768,f1344])).
65.67/9.77	tff(f1350,plain,(
65.67/9.77	  spl108_24),
65.67/9.77	  inference(avatar_split_clause,[],[f1182,f1347])).
65.67/9.77	tff(f1345,plain,(
65.67/9.77	  spl108_23),
65.67/9.77	  inference(avatar_split_clause,[],[f1148,f1342])).
65.67/9.77	tff(f1340,plain,(
65.67/9.77	  spl108_22 | ~spl108_18),
65.67/9.77	  inference(avatar_split_clause,[],[f1335,f1304,f1337])).
65.67/9.77	tff(f1335,plain,(
65.67/9.77	  lt(sF99,infinite) | ~spl108_18),
65.67/9.77	  inference(superposition,[],[f798,f1306])).
65.67/9.77	tff(f798,plain,(
65.67/9.77	  ( ! [X1 : $int] : (lt(finite(X1),infinite)) )),
65.67/9.77	  inference(cnf_transformation,[],[f539])).
65.67/9.77	tff(f1330,plain,(
65.67/9.77	  ~spl108_21 | ~spl108_18),
65.67/9.77	  inference(avatar_split_clause,[],[f1318,f1304,f1327])).
65.67/9.77	tff(f1318,plain,(
65.67/9.77	  infinite != sF99 | ~spl108_18),
65.67/9.77	  inference(superposition,[],[f765,f1306])).
65.67/9.77	tff(f1317,plain,(
65.67/9.77	  spl108_20),
65.67/9.77	  inference(avatar_split_clause,[],[f751,f1314])).
65.67/9.77	tff(f751,plain,(
65.67/9.77	  is_empty(vertex1,t2tb5(empty1))),
65.67/9.77	  inference(cnf_transformation,[],[f137])).
65.67/9.77	tff(f137,axiom,(
65.67/9.77	  is_empty(vertex1,t2tb5(empty1))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_def11)).
65.67/9.77	tff(f1312,plain,(
65.67/9.77	  spl108_19),
65.67/9.77	  inference(avatar_split_clause,[],[f1194,f1309])).
65.67/9.77	tff(f1194,plain,(
65.67/9.77	  sK6 = remove2(sF101,sK3)),
65.67/9.77	  inference(backward_demodulation,[],[f1172,f1173])).
65.67/9.77	tff(f1173,plain,(
65.67/9.77	  sK6 = sF104),
65.67/9.77	  inference(definition_folding,[],[f708,f1172,f1153])).
65.67/9.77	tff(f708,plain,(
65.67/9.77	  sK6 = remove2(tuple22(sK7,sK8),sK3)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1172,plain,(
65.67/9.77	  remove2(sF101,sK3) = sF104),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1307,plain,(
65.67/9.77	  spl108_18),
65.67/9.77	  inference(avatar_split_clause,[],[f1193,f1304])).
65.67/9.77	tff(f1193,plain,(
65.67/9.77	  finite(sK11) = sF99),
65.67/9.77	  inference(backward_demodulation,[],[f1151,f1152])).
65.67/9.77	tff(f1152,plain,(
65.67/9.77	  sF99 = sF100),
65.67/9.77	  inference(definition_folding,[],[f743,f1151,f1150])).
65.67/9.77	tff(f743,plain,(
65.67/9.77	  get1(sK9,sK10) = finite(sK11)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1151,plain,(
65.67/9.77	  finite(sK11) = sF100),
65.67/9.77	  introduced(function_definition,[])).
65.67/9.77	tff(f1302,plain,(
65.67/9.77	  spl108_17),
65.67/9.77	  inference(avatar_split_clause,[],[f744,f1299])).
65.67/9.77	tff(f1296,plain,(
65.67/9.77	  spl108_16),
65.67/9.77	  inference(avatar_split_clause,[],[f1196,f1293])).
65.67/9.77	tff(f1196,plain,(
65.67/9.77	  $less(0,sF105)),
65.67/9.77	  inference(forward_demodulation,[],[f752,f1182])).
65.67/9.77	tff(f752,plain,(
65.67/9.77	  $less(0,cardinal1(vertices))),
65.67/9.77	  inference(cnf_transformation,[],[f6])).
65.67/9.77	tff(f6,axiom,(
65.67/9.77	  $less(0,cardinal1(vertices))),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vertices_cardinal_pos)).
65.67/9.77	tff(f1291,plain,(
65.67/9.77	  spl108_15),
65.67/9.77	  inference(avatar_split_clause,[],[f1191,f1288])).
65.67/9.77	tff(f1288,plain,(
65.67/9.77	  spl108_15 <=> sF106 = -1),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_15])])).
65.67/9.77	tff(f1285,plain,(
65.67/9.77	  spl108_14),
65.67/9.77	  inference(avatar_split_clause,[],[f750,f1282])).
65.67/9.77	tff(f1282,plain,(
65.67/9.77	  spl108_14 <=> mem1(s,vertices)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_14])])).
65.67/9.77	tff(f1280,plain,(
65.67/9.77	  ~spl108_13),
65.67/9.77	  inference(avatar_split_clause,[],[f749,f1277])).
65.67/9.77	tff(f1277,plain,(
65.67/9.77	  spl108_13 <=> true = false),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_13])])).
65.67/9.77	tff(f749,plain,(
65.67/9.77	  true != false),
65.67/9.77	  inference(cnf_transformation,[],[f160])).
65.67/9.77	tff(f160,axiom,(
65.67/9.77	  true != false),
65.67/9.77	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)).
65.67/9.77	tff(f1274,plain,(
65.67/9.77	  spl108_12),
65.67/9.77	  inference(avatar_split_clause,[],[f1195,f1271])).
65.67/9.77	tff(f1195,plain,(
65.67/9.77	  mem2(sK19,sK3)),
65.67/9.77	  inference(global_subsumption,[],[f705,f703])).
65.67/9.77	tff(f703,plain,(
65.67/9.77	  true = sK5 | mem2(sK19,sK3)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f705,plain,(
65.67/9.77	  true != sK5),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1269,plain,(
65.67/9.77	  spl108_11),
65.67/9.77	  inference(avatar_split_clause,[],[f1174,f1266])).
65.67/9.77	tff(f1266,plain,(
65.67/9.77	  spl108_11 <=> mem2(sF101,sK3)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_11])])).
65.67/9.77	tff(f1264,plain,(
65.67/9.77	  spl108_10),
65.67/9.77	  inference(avatar_split_clause,[],[f1173,f1261])).
65.67/9.77	tff(f1261,plain,(
65.67/9.77	  spl108_10 <=> sK6 = sF104),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_10])])).
65.67/9.77	tff(f1259,plain,(
65.67/9.77	  spl108_9),
65.67/9.77	  inference(avatar_split_clause,[],[f1171,f1256])).
65.67/9.77	tff(f1254,plain,(
65.67/9.77	  ~spl108_8),
65.67/9.77	  inference(avatar_split_clause,[],[f1170,f1251])).
65.67/9.77	tff(f1251,plain,(
65.67/9.77	  spl108_8 <=> mem2(sF101,sF102)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_8])])).
65.67/9.77	tff(f1249,plain,(
65.67/9.77	  spl108_7),
65.67/9.77	  inference(avatar_split_clause,[],[f1152,f1246])).
65.67/9.77	tff(f1246,plain,(
65.67/9.77	  spl108_7 <=> sF99 = sF100),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_7])])).
65.67/9.77	tff(f1244,plain,(
65.67/9.77	  spl108_6),
65.67/9.77	  inference(avatar_split_clause,[],[f1149,f1241])).
65.67/9.77	tff(f1239,plain,(
65.67/9.77	  spl108_5),
65.67/9.77	  inference(avatar_split_clause,[],[f1147,f1236])).
65.67/9.77	tff(f1147,plain,(
65.67/9.77	  mem2(sF96,sF97)),
65.67/9.77	  inference(definition_folding,[],[f1085,f1146,f1145])).
65.67/9.77	tff(f1085,plain,(
65.67/9.77	  mem2(tuple22(sK12,sK10),diff2(sK2,sK6))),
65.67/9.77	  inference(definition_unfolding,[],[f746,f686])).
65.67/9.77	tff(f746,plain,(
65.67/9.77	  mem2(tuple22(sK12,sK10),diff2(edges,sK6))),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1234,plain,(
65.67/9.77	  spl108_4),
65.67/9.77	  inference(avatar_split_clause,[],[f1144,f1231])).
65.67/9.77	tff(f1231,plain,(
65.67/9.77	  spl108_4 <=> $less(sF95,sK11)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_4])])).
65.67/9.77	tff(f1229,plain,(
65.67/9.77	  spl108_3),
65.67/9.77	  inference(avatar_split_clause,[],[f742,f1226])).
65.67/9.77	tff(f1226,plain,(
65.67/9.77	  spl108_3 <=> mem1(sK10,vertices)),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_3])])).
65.67/9.77	tff(f1224,plain,(
65.67/9.77	  spl108_2),
65.67/9.77	  inference(avatar_split_clause,[],[f706,f1221])).
65.67/9.77	tff(f706,plain,(
65.67/9.77	  mem2(sK18,sK3)),
65.67/9.77	  inference(cnf_transformation,[],[f533])).
65.67/9.77	tff(f1219,plain,(
65.67/9.77	  ~spl108_1),
65.67/9.77	  inference(avatar_split_clause,[],[f705,f1216])).
65.67/9.77	tff(f1216,plain,(
65.67/9.77	  spl108_1 <=> true = sK5),
65.67/9.77	  introduced(avatar_definition,[new_symbols(naming,[spl108_1])])).
65.67/9.77	% SZS output end Proof for theBenchmark
65.67/9.77	% (18354)------------------------------
65.67/9.77	% (18354)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
65.67/9.77	% (18354)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
65.67/9.77	% (18354)Termination reason: Refutation
65.67/9.77	
65.67/9.77	% (18354)Memory used [KB]: 141490
65.67/9.77	% (18354)Time elapsed: 9.314 s
65.67/9.77	% (18354)------------------------------
65.67/9.77	% (18354)------------------------------
65.67/9.77	% (18349)Success in time 9.327 s
65.67/9.77	% Vampire---4.8 exiting
65.67/9.79	EOF