%----Output an unreadable proof
% SZS output start Proof for theBenchmark
thf(type_def_5, type, set_Pr1702239303tate_o: $tType).
thf(type_def_6, type, produc1307154919tate_o: $tType).
thf(type_def_7, type, set_Pr1590995257tate_o: $tType).
thf(type_def_8, type, set_Pr778812871_state: $tType).
thf(type_def_9, type, produc696469763tate_o: $tType).
thf(type_def_10, type, set_Pr1490359111at_nat: $tType).
thf(type_def_11, type, produc1390548711_state: $tType).
thf(type_def_12, type, produc842455143at_nat: $tType).
thf(type_def_13, type, set_Pr1740974983tate_o: $tType).
thf(type_def_14, type, produc204914599tate_o: $tType).
thf(type_def_15, type, set_Pr795498619_state: $tType).
thf(type_def_16, type, set_Pr1986765409at_nat: $tType).
thf(type_def_17, type, produc1115495963_state: $tType).
thf(type_def_18, type, product_prod_nat_nat: $tType).
thf(type_def_19, type, set_state: $tType).
thf(type_def_20, type, set_nat: $tType).
thf(type_def_21, type, state: $tType).
thf(type_def_22, type, com: $tType).
thf(type_def_23, type, nat: $tType).
thf(type_def_24, type, a: $tType).
thf(type_def_25, type, sTfun: ($tType * $tType) > $tType).
thf(func_def_0, type, suc: (nat > nat)).
thf(func_def_1, type, order_aboveS_nat: (set_Pr1986765409at_nat > nat > set_nat)).
thf(func_def_2, type, order_aboveS_state: (set_Pr795498619_state > state > set_state)).
thf(func_def_3, type, order_1121016664tate_o: (set_Pr1702239303tate_o > produc696469763tate_o > set_Pr1590995257tate_o)).
thf(func_def_4, type, order_665764460at_nat: (set_Pr1490359111at_nat > product_prod_nat_nat > set_Pr1986765409at_nat)).
thf(func_def_5, type, order_2027321734_state: (set_Pr778812871_state > produc1115495963_state > set_Pr795498619_state)).
thf(func_def_6, type, order_130026331on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
thf(func_def_7, type, order_286167592_state: (set_state > set_Pr795498619_state > $o)).
thf(func_def_8, type, order_50454158tate_o: (set_Pr1590995257tate_o > set_Pr1702239303tate_o > $o)).
thf(func_def_9, type, order_721919926at_nat: (set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o)).
thf(func_def_10, type, order_178668240_state: (set_Pr795498619_state > set_Pr778812871_state > $o)).
thf(func_def_11, type, bot_bo2130564770te_o_o: ((a > state > $o) > produc204914599tate_o > $o)).
thf(func_def_12, type, bot_bot_nat_nat_o: (nat > nat > $o)).
thf(func_def_13, type, bot_bo935656620te_o_o: (com > (a > state > $o) > $o)).
thf(func_def_14, type, bot_bo51534648tate_o: (state > state > $o)).
thf(func_def_15, type, bot_bo250281208te_o_o: (produc696469763tate_o > $o)).
thf(func_def_16, type, bot_bo513358416_nat_o: (product_prod_nat_nat > $o)).
thf(func_def_17, type, bot_bo446391478tate_o: (produc1115495963_state > $o)).
thf(func_def_18, type, bot_bot_set_nat: set_nat).
thf(func_def_19, type, bot_bot_set_state: set_state).
thf(func_def_20, type, bot_bo170732493tate_o: set_Pr1590995257tate_o).
thf(func_def_21, type, bot_bo2130386637at_nat: set_Pr1986765409at_nat).
thf(func_def_22, type, bot_bo1692783091tate_o: set_Pr1740974983tate_o).
thf(func_def_23, type, bot_bo1625160935_state: set_Pr795498619_state).
thf(func_def_24, type, bot_bo1714653363tate_o: set_Pr1702239303tate_o).
thf(func_def_25, type, bot_bo34127283at_nat: set_Pr1490359111at_nat).
thf(func_def_26, type, bot_bo1331673139_state: set_Pr778812871_state).
thf(func_def_27, type, ord_less_nat: (nat > nat > $o)).
thf(func_def_28, type, pHoare382919414oare_a: (set_Pr1590995257tate_o > (a > state > $o) > com > (a > state > $o) > $o)).
thf(func_def_29, type, hoare_a: (set_Pr1590995257tate_o > (a > state > $o) > com > (a > state > $o) > $o)).
thf(func_def_30, type, body: com).
thf(func_def_31, type, call: com).
thf(func_def_32, type, semi: (com > com > com)).
thf(func_def_33, type, while: ((state > $o) > com > com)).
thf(func_def_34, type, exec: (state > com > state > $o)).
thf(func_def_35, type, execn: (state > com > nat > state > $o)).
thf(func_def_36, type, termi: (com > state > $o)).
thf(func_def_37, type, produc33908149tate_o: ((a > state > $o) > produc204914599tate_o > produc696469763tate_o)).
thf(func_def_38, type, product_Pair_nat_nat: (nat > nat > product_prod_nat_nat)).
thf(func_def_39, type, produc1948644831tate_o: (com > (a > state > $o) > produc204914599tate_o)).
thf(func_def_40, type, produc64584659_state: (state > state > produc1115495963_state)).
thf(func_def_41, type, produc1684562079tate_o: (produc696469763tate_o > produc696469763tate_o > produc1307154919tate_o)).
thf(func_def_42, type, produc1168807639at_nat: (product_prod_nat_nat > product_prod_nat_nat > produc842455143at_nat)).
thf(func_def_43, type, produc1964772951_state: (produc1115495963_state > produc1115495963_state > produc1390548711_state)).
thf(func_def_44, type, produc385877620_nat_o: ((nat > nat > $o) > product_prod_nat_nat > $o)).
thf(func_def_45, type, produc938968666tate_o: ((state > state > $o) > produc1115495963_state > $o)).
thf(func_def_46, type, produc1271576886te_o_o: (((a > state > $o) > produc204914599tate_o > $o) > produc696469763tate_o > $o)).
thf(func_def_47, type, produc949581770_nat_o: ((nat > nat > $o) > product_prod_nat_nat > $o)).
thf(func_def_48, type, produc1610543495tate_o: ((nat > nat > set_Pr1590995257tate_o) > product_prod_nat_nat > set_Pr1590995257tate_o)).
thf(func_def_49, type, produc1915186323at_nat: ((nat > nat > set_Pr1986765409at_nat) > product_prod_nat_nat > set_Pr1986765409at_nat)).
thf(func_def_50, type, produc1654445_state: ((nat > nat > set_Pr795498619_state) > product_prod_nat_nat > set_Pr795498619_state)).
thf(func_def_51, type, produc281270436te_o_o: ((com > (a > state > $o) > $o) > produc204914599tate_o > $o)).
thf(func_def_52, type, produc789892016tate_o: ((state > state > $o) > produc1115495963_state > $o)).
thf(func_def_53, type, irrefl_nat: (set_Pr1986765409at_nat > $o)).
thf(func_def_54, type, refl_on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
thf(func_def_55, type, refl_on_state: (set_state > set_Pr795498619_state > $o)).
thf(func_def_56, type, refl_o489021252tate_o: (set_Pr1590995257tate_o > set_Pr1702239303tate_o > $o)).
thf(func_def_57, type, refl_o1619599232at_nat: (set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o)).
thf(func_def_58, type, refl_o1438232218_state: (set_Pr795498619_state > set_Pr778812871_state > $o)).
thf(func_def_59, type, total_on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
thf(func_def_60, type, total_on_state: (set_state > set_Pr795498619_state > $o)).
thf(func_def_61, type, total_795385983tate_o: (set_Pr1590995257tate_o > set_Pr1702239303tate_o > $o)).
thf(func_def_62, type, total_1775715973at_nat: (set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o)).
thf(func_def_63, type, total_1316653983_state: (set_Pr795498619_state > set_Pr778812871_state > $o)).
thf(func_def_64, type, trans_nat: (set_Pr1986765409at_nat > $o)).
thf(func_def_65, type, collect_nat: ((nat > $o) > set_nat)).
thf(func_def_66, type, collect_state: ((state > $o) > set_state)).
thf(func_def_67, type, collec1499596504tate_o: ((produc696469763tate_o > $o) > set_Pr1590995257tate_o)).
thf(func_def_68, type, collec7649004at_nat: ((product_prod_nat_nat > $o) > set_Pr1986765409at_nat)).
thf(func_def_69, type, collec496201222_state: ((produc1115495963_state > $o) > set_Pr795498619_state)).
thf(func_def_70, type, insert_nat: (nat > set_nat > set_nat)).
thf(func_def_71, type, insert_state: (state > set_state > set_state)).
thf(func_def_72, type, insert2053719859tate_o: (produc696469763tate_o > set_Pr1590995257tate_o > set_Pr1590995257tate_o)).
thf(func_def_73, type, insert271595217at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
thf(func_def_74, type, insert311944171_state: (produc1115495963_state > set_Pr795498619_state > set_Pr795498619_state)).
thf(func_def_75, type, insert1597128631tate_o: (produc1307154919tate_o > set_Pr1702239303tate_o > set_Pr1702239303tate_o)).
thf(func_def_76, type, insert584009271at_nat: (produc842455143at_nat > set_Pr1490359111at_nat > set_Pr1490359111at_nat)).
thf(func_def_77, type, insert1616594103_state: (produc1390548711_state > set_Pr778812871_state > set_Pr778812871_state)).
thf(func_def_78, type, is_emp807847857tate_o: (set_Pr1590995257tate_o > $o)).
thf(func_def_79, type, is_emp825011411at_nat: (set_Pr1986765409at_nat > $o)).
thf(func_def_80, type, is_emp1062983149_state: (set_Pr795498619_state > $o)).
thf(func_def_81, type, is_sin1547905295tate_o: (set_Pr1590995257tate_o > $o)).
thf(func_def_82, type, is_sin1352690165at_nat: (set_Pr1986765409at_nat > $o)).
thf(func_def_83, type, is_sin1132515087_state: (set_Pr795498619_state > $o)).
thf(func_def_84, type, the_el1569055182tate_o: (set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_85, type, the_el1949240438at_nat: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_86, type, the_el1967402896_state: (set_Pr795498619_state > produc1115495963_state)).
thf(func_def_87, type, less_than: set_Pr1986765409at_nat).
thf(func_def_88, type, measure_nat: ((nat > nat) > set_Pr1986765409at_nat)).
thf(func_def_89, type, measure_state: ((state > nat) > set_Pr795498619_state)).
thf(func_def_90, type, pred_nat: set_Pr1986765409at_nat).
thf(func_def_91, type, wf_nat: (set_Pr1986765409at_nat > $o)).
thf(func_def_92, type, wf_state: (set_Pr795498619_state > $o)).
thf(func_def_93, type, wf_Pro309705690tate_o: (set_Pr1702239303tate_o > $o)).
thf(func_def_94, type, wf_Pro745352042at_nat: (set_Pr1490359111at_nat > $o)).
thf(func_def_95, type, wf_Pro1783588484_state: (set_Pr778812871_state > $o)).
thf(func_def_96, type, member_nat: (nat > set_nat > $o)).
thf(func_def_97, type, member_state: (state > set_state > $o)).
thf(func_def_98, type, member1838112666tate_o: (produc696469763tate_o > set_Pr1590995257tate_o > $o)).
thf(func_def_99, type, member701585322at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > $o)).
thf(func_def_100, type, member221067728tate_o: (produc204914599tate_o > set_Pr1740974983tate_o > $o)).
thf(func_def_101, type, member1389040324_state: (produc1115495963_state > set_Pr795498619_state > $o)).
thf(func_def_102, type, member1629320336tate_o: (produc1307154919tate_o > set_Pr1702239303tate_o > $o)).
thf(func_def_103, type, member2027625872at_nat: (produc842455143at_nat > set_Pr1490359111at_nat > $o)).
thf(func_def_104, type, member768948240_state: (produc1390548711_state > set_Pr778812871_state > $o)).
thf(func_def_105, type, pa: (a > state > $o)).
thf(func_def_106, type, qa: (a > state > $o)).
thf(func_def_107, type, r: set_Pr795498619_state).
thf(func_def_108, type, x: state).
thf(func_def_112, type, vIMP: ($o > $o > $o)).
thf(func_def_113, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_114, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
thf(func_def_115, type, vNOT: ($o > $o)).
thf(func_def_116, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(func_def_117, type, vAND: ($o > $o > $o)).
thf(func_def_118, type, db1: !>[X0: $tType]:(X0)).
thf(func_def_119, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
thf(func_def_120, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
thf(func_def_121, type, db3: !>[X0: $tType]:(X0)).
thf(func_def_122, type, db2: !>[X0: $tType]:(X0)).
thf(func_def_123, type, vOR: ($o > $o > $o)).
thf(func_def_124, type, sK0: (set_Pr795498619_state > com > (a > state > $o) > set_Pr1590995257tate_o > (state > $o) > state)).
thf(func_def_125, type, sK1: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_126, type, sK2: (set_Pr795498619_state > set_Pr778812871_state > produc1115495963_state)).
thf(func_def_127, type, sK3: ((nat > state) > com > nat)).
thf(func_def_128, type, sK4: ((nat > state) > (state > $o) > nat)).
thf(func_def_129, type, sK5: (set_Pr1490359111at_nat > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_130, type, sK6: (set_Pr1490359111at_nat > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_131, type, sK7: ((a > state > $o) > (a > state > $o) > a)).
thf(func_def_132, type, sK8: ((a > state > $o) > (a > state > $o) > state)).
thf(func_def_133, type, sK9: (set_Pr1490359111at_nat > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_134, type, sK10: ((com > (a > state > $o) > $o) > produc204914599tate_o > com)).
thf(func_def_135, type, sK11: ((com > (a > state > $o) > $o) > produc204914599tate_o > a > state > $o)).
thf(func_def_136, type, sK12: ((produc1115495963_state > $o) > state)).
thf(func_def_137, type, sK13: ((produc1115495963_state > $o) > state)).
thf(func_def_138, type, sK14: (produc696469763tate_o > produc204914599tate_o)).
thf(func_def_139, type, sK15: (produc696469763tate_o > a > state > $o)).
thf(func_def_140, type, sK16: (state > state)).
thf(func_def_141, type, sK17: (state > state)).
thf(func_def_142, type, sK18: (state > a)).
thf(func_def_143, type, sK19: (state > state)).
thf(func_def_144, type, sK20: (state > a)).
thf(func_def_145, type, sK21: (set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_146, type, sK22: (produc1115495963_state > (state > state > $o) > state)).
thf(func_def_147, type, sK23: (produc1115495963_state > (state > state > $o) > state)).
thf(func_def_148, type, sK24: (set_nat > set_Pr1986765409at_nat > nat)).
thf(func_def_149, type, sK25: ((state > state > $o) > (state > state > $o) > produc1115495963_state > state)).
thf(func_def_150, type, sK26: ((state > state > $o) > (state > state > $o) > produc1115495963_state > state)).
thf(func_def_151, type, sK27: (set_state > set_Pr795498619_state > state)).
thf(func_def_152, type, sK28: (set_state > set_Pr795498619_state > state)).
thf(func_def_153, type, sK29: (set_Pr1590995257tate_o > produc696469763tate_o > produc696469763tate_o > set_Pr1590995257tate_o > set_Pr1590995257tate_o)).
thf(func_def_154, type, sK30: (set_Pr1986765409at_nat > nat > $o)).
thf(func_def_155, type, sK31: (set_Pr1986765409at_nat > nat)).
thf(func_def_156, type, sK32: (nat > set_Pr1986765409at_nat > nat)).
thf(func_def_157, type, sK33: (com > state > com > state)).
thf(func_def_158, type, sK34: (set_Pr795498619_state > produc1115495963_state)).
thf(func_def_159, type, sK35: (set_Pr795498619_state > produc1115495963_state)).
thf(func_def_160, type, sK36: (product_prod_nat_nat > nat)).
thf(func_def_161, type, sK37: (product_prod_nat_nat > nat)).
thf(func_def_162, type, sK38: (set_Pr1702239303tate_o > produc696469763tate_o)).
thf(func_def_163, type, sK39: (set_Pr1702239303tate_o > set_Pr1590995257tate_o)).
thf(func_def_164, type, sK40: (produc696469763tate_o > set_Pr1702239303tate_o > produc696469763tate_o)).
thf(func_def_165, type, sK41: ((com > (a > state > $o) > $o) > produc204914599tate_o > com)).
thf(func_def_166, type, sK42: ((com > (a > state > $o) > $o) > produc204914599tate_o > a > state > $o)).
thf(func_def_167, type, sK43: (set_Pr1986765409at_nat > nat)).
thf(func_def_168, type, sK44: (set_Pr1986765409at_nat > set_nat)).
thf(func_def_169, type, sK45: (nat > set_Pr1986765409at_nat > nat)).
thf(func_def_170, type, sK46: (set_state > set_Pr795498619_state > state)).
thf(func_def_171, type, sK47: ((produc1115495963_state > $o) > state)).
thf(func_def_172, type, sK48: ((produc1115495963_state > $o) > state)).
thf(func_def_173, type, sK49: ((produc204914599tate_o > $o) > com)).
thf(func_def_174, type, sK50: ((produc204914599tate_o > $o) > a > state > $o)).
thf(func_def_175, type, sK51: (set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_176, type, sK52: (set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_177, type, sK53: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_178, type, sK54: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_179, type, sK55: (produc204914599tate_o > com)).
thf(func_def_180, type, sK56: (produc204914599tate_o > a > state > $o)).
thf(func_def_181, type, sK57: (product_prod_nat_nat > (nat > nat > $o) > nat)).
thf(func_def_182, type, sK58: (product_prod_nat_nat > (nat > nat > $o) > nat)).
thf(func_def_183, type, sK59: (product_prod_nat_nat > nat)).
thf(func_def_184, type, sK60: (product_prod_nat_nat > nat)).
thf(func_def_185, type, sK61: (set_Pr795498619_state > produc1115495963_state)).
thf(func_def_186, type, sK62: ((produc1115495963_state > $o) > produc1115495963_state)).
thf(func_def_187, type, sK63: (produc1115495963_state > state)).
thf(func_def_188, type, sK64: (produc1115495963_state > state)).
thf(func_def_189, type, sK65: (set_Pr1986765409at_nat > set_nat > nat)).
thf(func_def_190, type, sK66: (set_Pr1986765409at_nat > set_nat > nat)).
thf(func_def_191, type, sK67: (set_Pr1702239303tate_o > set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_192, type, sK68: (set_Pr778812871_state > set_Pr795498619_state > produc1115495963_state)).
thf(func_def_193, type, sK69: (set_Pr1702239303tate_o > set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_194, type, sK70: (produc696469763tate_o > set_Pr1590995257tate_o > set_Pr1590995257tate_o)).
thf(func_def_195, type, sK71: ((nat > $o) > set_Pr1986765409at_nat > nat)).
thf(func_def_196, type, sK72: (produc696469763tate_o > ((a > state > $o) > produc204914599tate_o > $o) > a > state > $o)).
thf(func_def_197, type, sK73: (produc696469763tate_o > ((a > state > $o) > produc204914599tate_o > $o) > produc204914599tate_o)).
thf(func_def_198, type, sK74: (produc696469763tate_o > a > state > $o)).
thf(func_def_199, type, sK75: (produc696469763tate_o > produc204914599tate_o)).
thf(func_def_200, type, sK76: (product_prod_nat_nat > product_prod_nat_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
thf(func_def_201, type, sK77: ((product_prod_nat_nat > $o) > nat)).
thf(func_def_202, type, sK78: ((product_prod_nat_nat > $o) > nat)).
thf(func_def_203, type, sK79: (set_Pr1986765409at_nat > product_prod_nat_nat > set_Pr1986765409at_nat)).
thf(func_def_204, type, sK80: ((produc204914599tate_o > $o) > a > state > $o)).
thf(func_def_205, type, sK81: ((produc204914599tate_o > $o) > com)).
thf(func_def_206, type, sK82: ((produc696469763tate_o > $o) > produc696469763tate_o)).
thf(func_def_207, type, sK83: ((product_prod_nat_nat > $o) > nat)).
thf(func_def_208, type, sK84: ((product_prod_nat_nat > $o) > nat)).
thf(func_def_209, type, sK85: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_210, type, sK86: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_211, type, sK87: ((produc696469763tate_o > $o) > a > state > $o)).
thf(func_def_212, type, sK88: ((produc696469763tate_o > $o) > produc204914599tate_o)).
thf(func_def_213, type, sK89: ((produc696469763tate_o > $o) > a > state > $o)).
thf(func_def_214, type, sK90: ((produc696469763tate_o > $o) > produc204914599tate_o)).
thf(func_def_215, type, sK91: ((a > state > $o) > (a > state > $o) > state)).
thf(func_def_216, type, sK92: ((a > state > $o) > (a > state > $o) > a)).
thf(func_def_217, type, sK93: ((a > state > $o) > (a > state > $o) > (a > state > $o) > (a > state > $o) > state)).
thf(func_def_218, type, sK94: ((a > state > $o) > (a > state > $o) > (a > state > $o) > (a > state > $o) > state)).
thf(func_def_219, type, sK95: ((a > state > $o) > (a > state > $o) > (a > state > $o) > (a > state > $o) > a)).
thf(func_def_220, type, sK96: ((nat > $o) > set_Pr1986765409at_nat > nat)).
thf(func_def_221, type, sK97: (produc1115495963_state > (state > state > $o) > state)).
thf(func_def_222, type, sK98: (produc1115495963_state > (state > state > $o) > state)).
thf(func_def_223, type, sK99: (set_state > set_Pr795498619_state > state)).
thf(func_def_224, type, sK100: (set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_225, type, sK101: ((state > $o) > set_Pr795498619_state > state)).
thf(func_def_226, type, sK102: ((nat > nat > $o) > (product_prod_nat_nat > $o) > nat)).
thf(func_def_227, type, sK103: ((nat > nat > $o) > (product_prod_nat_nat > $o) > nat)).
thf(func_def_228, type, sK104: (set_Pr795498619_state > set_Pr795498619_state > produc1115495963_state > produc1115495963_state > set_Pr795498619_state)).
thf(func_def_229, type, sK105: ((state > $o) > (state > $o) > com > nat > state)).
thf(func_def_230, type, sK106: ((state > $o) > (state > $o) > com > nat > state)).
thf(func_def_231, type, sK107: (product_prod_nat_nat > ($o > $o) > (nat > nat > $o) > nat)).
thf(func_def_232, type, sK108: (product_prod_nat_nat > ($o > $o) > (nat > nat > $o) > nat)).
thf(func_def_233, type, sK109: (set_Pr1986765409at_nat > product_prod_nat_nat > set_Pr1986765409at_nat)).
thf(func_def_234, type, sK110: (produc1115495963_state > (state > state > $o) > ($o > $o) > state)).
thf(func_def_235, type, sK111: (produc1115495963_state > (state > state > $o) > ($o > $o) > state)).
thf(func_def_236, type, sK112: (set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_237, type, sK113: (produc1115495963_state > state)).
thf(func_def_238, type, sK114: (produc1115495963_state > state)).
thf(func_def_239, type, sK115: (set_Pr795498619_state > produc1115495963_state)).
thf(func_def_240, type, sK116: (set_Pr795498619_state > produc1115495963_state > set_Pr795498619_state)).
thf(func_def_241, type, sK117: (set_Pr1702239303tate_o > set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_242, type, sK118: (set_Pr1702239303tate_o > set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_243, type, sK119: (set_Pr1590995257tate_o > produc696469763tate_o > set_Pr1590995257tate_o)).
thf(func_def_244, type, sK120: a).
thf(func_def_245, type, sK121: state).
thf(func_def_246, type, sK122: state).
thf(func_def_247, type, sK123: state).
thf(func_def_248, type, sK124: a).
thf(func_def_249, type, sK125: (produc696469763tate_o > a > state > $o)).
thf(func_def_250, type, sK126: (produc696469763tate_o > a > state > $o)).
thf(func_def_251, type, sK127: (produc696469763tate_o > com)).
thf(func_def_252, type, sK128: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_253, type, sK129: ((produc696469763tate_o > $o) > produc696469763tate_o)).
thf(func_def_254, type, sK130: (product_prod_nat_nat > product_prod_nat_nat > (nat > nat > set_Pr1986765409at_nat) > nat)).
thf(func_def_255, type, sK131: (product_prod_nat_nat > product_prod_nat_nat > (nat > nat > set_Pr1986765409at_nat) > nat)).
thf(func_def_256, type, sK132: (set_Pr1490359111at_nat > set_Pr1986765409at_nat)).
thf(func_def_257, type, sK133: (set_Pr1490359111at_nat > product_prod_nat_nat)).
thf(func_def_258, type, sK134: (product_prod_nat_nat > set_Pr1490359111at_nat > product_prod_nat_nat)).
thf(func_def_259, type, sK135: ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat)).
thf(func_def_260, type, sK136: (set_Pr795498619_state > state > $o)).
thf(func_def_261, type, sK137: (set_Pr795498619_state > state)).
thf(func_def_262, type, sK138: (state > set_Pr795498619_state > state)).
thf(func_def_263, type, sK139: (product_prod_nat_nat > (nat > nat > $o) > nat)).
thf(func_def_264, type, sK140: (product_prod_nat_nat > (nat > nat > $o) > nat)).
thf(func_def_265, type, sK141: (produc204914599tate_o > com)).
thf(func_def_266, type, sK142: (produc204914599tate_o > a > state > $o)).
thf(func_def_267, type, sK143: (set_Pr795498619_state > (state > $o) > state)).
thf(func_def_268, type, sK144: (product_prod_nat_nat > produc696469763tate_o > (nat > nat > set_Pr1590995257tate_o) > nat)).
thf(func_def_269, type, sK145: (product_prod_nat_nat > produc696469763tate_o > (nat > nat > set_Pr1590995257tate_o) > nat)).
thf(func_def_270, type, sK146: (set_Pr1986765409at_nat > set_nat > nat)).
thf(func_def_271, type, sK147: ((product_prod_nat_nat > $o) > product_prod_nat_nat)).
thf(func_def_272, type, sK148: ((state > $o) > com > nat > (state > $o) > state)).
thf(func_def_273, type, sK149: ((state > $o) > com > nat > (state > $o) > state)).
thf(func_def_274, type, sK150: ((nat > nat > set_Pr795498619_state) > produc1115495963_state > product_prod_nat_nat > nat)).
thf(func_def_275, type, sK151: ((nat > nat > set_Pr795498619_state) > produc1115495963_state > product_prod_nat_nat > nat)).
thf(func_def_276, type, sK152: (set_Pr795498619_state > state)).
thf(func_def_277, type, sK153: (set_Pr795498619_state > set_state)).
thf(func_def_278, type, sK154: (state > set_Pr795498619_state > state)).
thf(func_def_279, type, sK155: ((state > state > $o) > (produc1115495963_state > $o) > state)).
thf(func_def_280, type, sK156: ((state > state > $o) > (produc1115495963_state > $o) > state)).
thf(func_def_281, type, sK157: (product_prod_nat_nat > (nat > nat > $o) > (nat > nat > $o) > nat)).
thf(func_def_282, type, sK158: (product_prod_nat_nat > (nat > nat > $o) > (nat > nat > $o) > nat)).
thf(func_def_283, type, sK159: ((state > $o) > state > com > state)).
thf(func_def_284, type, sK160: (set_Pr778812871_state > produc1115495963_state)).
thf(func_def_285, type, sK161: (set_Pr778812871_state > set_Pr795498619_state)).
thf(func_def_286, type, sK162: (produc1115495963_state > set_Pr778812871_state > produc1115495963_state)).
thf(func_def_287, type, sK163: ((produc696469763tate_o > $o) > (produc696469763tate_o > $o) > produc696469763tate_o)).
thf(func_def_288, type, sK164: ((a > state > $o) > (a > state > $o) > set_Pr795498619_state > state)).
thf(func_def_289, type, sK165: (set_Pr795498619_state > produc1115495963_state)).
thf(func_def_290, type, sK166: (set_Pr795498619_state > produc1115495963_state)).
thf(func_def_291, type, sK167: (set_Pr1590995257tate_o > produc696469763tate_o)).
thf(func_def_292, type, sK168: (produc1115495963_state > set_Pr795498619_state > set_Pr795498619_state)).
thf(func_def_293, type, sK169: ((a > state > $o) > (a > state > $o) > state)).
thf(func_def_294, type, sK170: ((a > state > $o) > (a > state > $o) > a)).
thf(func_def_295, type, sK171: ((nat > state) > (state > $o) > nat)).
thf(func_def_296, type, sK172: ((nat > state) > com > nat)).
thf(func_def_297, type, sK173: ((produc1115495963_state > $o) > produc1115495963_state)).
thf(func_def_298, type, sK174: ((product_prod_nat_nat > $o) > product_prod_nat_nat)).
thf(func_def_299, type, sK175: (produc696469763tate_o > ((a > state > $o) > produc204914599tate_o > $o) > produc204914599tate_o)).
thf(func_def_300, type, sK176: (produc696469763tate_o > ((a > state > $o) > produc204914599tate_o > $o) > a > state > $o)).
thf(func_def_301, type, sK177: ((produc1115495963_state > $o) > (produc1115495963_state > $o) > produc1115495963_state)).
thf(func_def_302, type, sK178: (set_Pr778812871_state > set_Pr795498619_state > produc1115495963_state)).
thf(func_def_303, type, sK179: (set_Pr778812871_state > set_Pr795498619_state > produc1115495963_state)).
thf(func_def_304, type, sK180: (set_Pr1986765409at_nat > set_Pr1490359111at_nat > product_prod_nat_nat)).
thf(func_def_305, type, sK181: ((produc696469763tate_o > $o) > a > state > $o)).
thf(func_def_306, type, sK182: ((produc696469763tate_o > $o) > com)).
thf(func_def_307, type, sK183: ((produc696469763tate_o > $o) > a > state > $o)).
thf(f103,axiom,(
  ! [X0 : state] : ((member1389040324_state @ (produc64584659_state @ X0 @ x) @ r) => (! [X2 : state,X1 : state] : ((exec @ X1 @ body @ X2) => ! [X3 : a] : (((pa @ X3 @ X1) & (X1 = X0)) => (qa @ X3 @ X2))) & ! [X3 : a,X1 : state] : (((pa @ X3 @ X1) & (X1 = X0)) => (termi @ body @ X1))))),
  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
thf(f115,axiom,(
  ! [X0 : state] : ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[X1 : a, X2 : state] : ((member1389040324_state @ (produc64584659_state @ X2 @ X0) @ r) & (pa @ X1 @ X2))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[X1 : a, X2 : state] : ((X2 = X0) & (pa @ X1 @ X2))) @ body @ qa) & ((! [X8 : state,X7 : state] : ((exec @ X7 @ body @ X8) => ! [X6 : a] : (((pa @ X6 @ X7) & (member1389040324_state @ (produc64584659_state @ X7 @ X0) @ r)) => (qa @ X6 @ X8))) & ! [X7 : state,X6 : a] : (((member1389040324_state @ (produc64584659_state @ X7 @ X0) @ r) & (pa @ X6 @ X7)) => (termi @ body @ X7))) => (! [X5 : state,X4 : state] : ((exec @ X4 @ body @ X5) => ! [X3 : a] : (((pa @ X3 @ X4) & (X4 = X0)) => (qa @ X3 @ X5))) & ! [X3 : a,X4 : state] : (((pa @ X3 @ X4) & (X4 = X0)) => (termi @ body @ X4)))))),
  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
thf(f356,conjecture,(
  ! [X0 : state,X1 : state] : (! [X2 : a] : (~(pa @ X2 @ X0) | (qa @ X2 @ X1) | (X0 != x)) | ~(exec @ X0 @ body @ X1)) & ! [X0 : state,X2 : a] : ((termi @ body @ X0) | ~(pa @ X2 @ X0) | (X0 != x))),
  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)).
thf(f357,negated_conjecture,(
  ~(! [X0 : state,X1 : state] : (! [X2 : a] : (~(pa @ X2 @ X0) | (qa @ X2 @ X1) | (X0 != x)) | ~(exec @ X0 @ body @ X1)) & ! [X0 : state,X2 : a] : ((termi @ body @ X0) | ~(pa @ X2 @ X0) | (X0 != x)))),
  inference(negated_conjecture,[status(cth)],[f356])).
thf(f497,plain,(
  ~(! [X0 : state,X1 : state] : (! [X2 : a] : (~(pa @ X2 @ X0) | (qa @ X2 @ X1) | (X0 != x)) | ~(exec @ X0 @ body @ X1)) & ! [X3 : state,X4 : a] : ((termi @ body @ X3) | ~(pa @ X4 @ X3) | (x != X3)))),
  inference(rectify,[],[f357])).
thf(f498,plain,(
  ~(! [X0 : state,X1 : state] : (! [X2 : a] : (~ (((pa @ X2 @ X0)) = $true) | (((qa @ X2 @ X1)) = $true) | (x != X0)) | ~ (((exec @ X0 @ body @ X1)) = $true)) & ! [X3 : state,X4 : a] : ((((termi @ body @ X3)) = $true) | ~ (((pa @ X4 @ X3)) = $true) | (x != X3)))),
  inference(fool_elimination,[],[f497])).
thf(f684,plain,(
  ! [X0 : state] : ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[X1 : a, X2 : state] : ((member1389040324_state @ (produc64584659_state @ X2 @ X0) @ r) & (pa @ X1 @ X2))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[X3 : a, X4 : state] : ((X0 = X4) & (pa @ X3 @ X4))) @ body @ qa) & ((! [X5 : state,X6 : state] : ((exec @ X6 @ body @ X5) => ! [X7 : a] : (((pa @ X7 @ X6) & (member1389040324_state @ (produc64584659_state @ X6 @ X0) @ r)) => (qa @ X7 @ X5))) & ! [X8 : state,X9 : a] : (((member1389040324_state @ (produc64584659_state @ X8 @ X0) @ r) & (pa @ X9 @ X8)) => (termi @ body @ X8))) => (! [X10 : state,X11 : state] : ((exec @ X11 @ body @ X10) => ! [X12 : a] : (((pa @ X12 @ X11) & (X0 = X11)) => (qa @ X12 @ X10))) & ! [X13 : a,X14 : state] : (((pa @ X13 @ X14) & (X0 = X14)) => (termi @ body @ X14)))))),
  inference(rectify,[],[f115])).
thf(f685,plain,(
  ! [X0 : state] : (($true = ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (member1389040324_state @ (produc64584659_state @ Y1 @ X0) @ r))))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (X0 = Y1))))) @ body @ qa))) & ((! [X5 : state,X6 : state] : ((((exec @ X6 @ body @ X5)) = $true) => ! [X7 : a] : ((($true = ((pa @ X7 @ X6))) & ($true = ((member1389040324_state @ (produc64584659_state @ X6 @ X0) @ r)))) => (((qa @ X7 @ X5)) = $true))) & ! [X8 : state,X9 : a] : (((((member1389040324_state @ (produc64584659_state @ X8 @ X0) @ r)) = $true) & (((pa @ X9 @ X8)) = $true)) => ($true = ((termi @ body @ X8))))) => (! [X10 : state,X11 : state] : (($true = ((exec @ X11 @ body @ X10))) => ! [X12 : a] : (((((pa @ X12 @ X11)) = $true) & (X0 = X11)) => ($true = ((qa @ X12 @ X10))))) & ! [X13 : a,X14 : state] : ((($true = ((pa @ X13 @ X14))) & (X0 = X14)) => ($true = ((termi @ body @ X14)))))))),
  inference(fool_elimination,[],[f684])).
thf(f853,plain,(
  ! [X0 : state] : ((member1389040324_state @ (produc64584659_state @ X0 @ x) @ r) => (! [X1 : state,X2 : state] : ((exec @ X2 @ body @ X1) => ! [X3 : a] : (((pa @ X3 @ X2) & (X0 = X2)) => (qa @ X3 @ X1))) & ! [X4 : a,X5 : state] : (((pa @ X4 @ X5) & (X0 = X5)) => (termi @ body @ X5))))),
  inference(rectify,[],[f103])).
thf(f854,plain,(
  ! [X0 : state] : ((((member1389040324_state @ (produc64584659_state @ X0 @ x) @ r)) = $true) => (! [X2 : state,X1 : state] : (($true = ((exec @ X2 @ body @ X1))) => ! [X3 : a] : (((X0 = X2) & (((pa @ X3 @ X2)) = $true)) => ($true = ((qa @ X3 @ X1))))) & ! [X5 : state,X4 : a] : (((X0 = X5) & ($true = ((pa @ X4 @ X5)))) => ($true = ((termi @ body @ X5))))))),
  inference(fool_elimination,[],[f853])).
thf(f973,plain,(
  ~(! [X0 : state,X1 : state] : (! [X2 : a] : ((x != X0) | (((pa @ X2 @ X0)) != $true) | (((qa @ X2 @ X1)) = $true)) | (((exec @ X0 @ body @ X1)) != $true)) & ! [X4 : a,X3 : state] : ((x != X3) | (((pa @ X4 @ X3)) != $true) | (((termi @ body @ X3)) = $true)))),
  inference(flattening,[],[f498])).
thf(f1008,plain,(
  ! [X0 : state] : (($true = ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (member1389040324_state @ (produc64584659_state @ Y1 @ X0) @ r))))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (X0 = Y1))))) @ body @ qa))) & ((! [X5 : a,X4 : state] : ((($true = ((pa @ X5 @ X4))) & ($true = ((member1389040324_state @ (produc64584659_state @ X4 @ X0) @ r)))) => (((termi @ body @ X4)) = $true)) & ! [X2 : state,X1 : state] : (($true = ((exec @ X2 @ body @ X1))) => ! [X3 : a] : (((((member1389040324_state @ (produc64584659_state @ X2 @ X0) @ r)) = $true) & (((pa @ X3 @ X2)) = $true)) => ($true = ((qa @ X3 @ X1)))))) => (! [X6 : state,X7 : state] : ((((exec @ X7 @ body @ X6)) = $true) => ! [X8 : a] : (((((pa @ X8 @ X7)) = $true) & (X0 = X7)) => ($true = ((qa @ X8 @ X6))))) & ! [X10 : state,X9 : a] : ((($true = ((pa @ X9 @ X10))) & (X0 = X10)) => (((termi @ body @ X10)) = $true)))))),
  inference(rectify,[],[f685])).
thf(f1128,plain,(
  ? [X4 : a,X3 : state] : ((x = X3) & (((termi @ body @ X3)) != $true) & (((pa @ X4 @ X3)) = $true)) | ? [X1 : state,X0 : state] : (? [X2 : a] : ((((qa @ X2 @ X1)) != $true) & (x = X0) & (((pa @ X2 @ X0)) = $true)) & (((exec @ X0 @ body @ X1)) = $true))),
  inference(ennf_transformation,[],[f973])).
thf(f1173,plain,(
  ! [X0 : state] : (($true = ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (member1389040324_state @ (produc64584659_state @ Y1 @ X0) @ r))))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (X0 = Y1))))) @ body @ qa))) & ((! [X6 : state,X7 : state] : (! [X8 : a] : (($true = ((qa @ X8 @ X6))) | ((((pa @ X8 @ X7)) != $true) | (X0 != X7))) | (((exec @ X7 @ body @ X6)) != $true)) & ! [X10 : state,X9 : a] : ((((termi @ body @ X10)) = $true) | (($true != ((pa @ X9 @ X10))) | (X0 != X10)))) | (? [X5 : a,X4 : state] : ((((termi @ body @ X4)) != $true) & (($true = ((pa @ X5 @ X4))) & ($true = ((member1389040324_state @ (produc64584659_state @ X4 @ X0) @ r))))) | ? [X2 : state,X1 : state] : (? [X3 : a] : (($true != ((qa @ X3 @ X1))) & ((((member1389040324_state @ (produc64584659_state @ X2 @ X0) @ r)) = $true) & (((pa @ X3 @ X2)) = $true))) & ($true = ((exec @ X2 @ body @ X1)))))))),
  inference(ennf_transformation,[],[f1008])).
thf(f1174,plain,(
  ! [X0 : state] : (($true = ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (member1389040324_state @ (produc64584659_state @ Y1 @ X0) @ r))))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (X0 = Y1))))) @ body @ qa))) & ((! [X10 : state,X9 : a] : ((((termi @ body @ X10)) = $true) | (X0 != X10) | ($true != ((pa @ X9 @ X10)))) & ! [X6 : state,X7 : state] : ((((exec @ X7 @ body @ X6)) != $true) | ! [X8 : a] : (($true = ((qa @ X8 @ X6))) | (((pa @ X8 @ X7)) != $true) | (X0 != X7)))) | ? [X1 : state,X2 : state] : (($true = ((exec @ X2 @ body @ X1))) & ? [X3 : a] : ((((pa @ X3 @ X2)) = $true) & ($true != ((qa @ X3 @ X1))) & (((member1389040324_state @ (produc64584659_state @ X2 @ X0) @ r)) = $true))) | ? [X4 : state,X5 : a] : (($true = ((member1389040324_state @ (produc64584659_state @ X4 @ X0) @ r))) & ($true = ((pa @ X5 @ X4))) & (((termi @ body @ X4)) != $true))))),
  inference(flattening,[],[f1173])).
thf(f1270,plain,(
  ! [X0 : state] : ((! [X2 : state,X1 : state] : (! [X3 : a] : (($true = ((qa @ X3 @ X1))) | ((X0 != X2) | (((pa @ X3 @ X2)) != $true))) | ($true != ((exec @ X2 @ body @ X1)))) & ! [X5 : state,X4 : a] : (($true = ((termi @ body @ X5))) | ((X0 != X5) | ($true != ((pa @ X4 @ X5)))))) | (((member1389040324_state @ (produc64584659_state @ X0 @ x) @ r)) != $true))),
  inference(ennf_transformation,[],[f854])).
thf(f1271,plain,(
  ! [X0 : state] : ((((member1389040324_state @ (produc64584659_state @ X0 @ x) @ r)) != $true) | (! [X1 : state,X2 : state] : (! [X3 : a] : ((((pa @ X3 @ X2)) != $true) | (X0 != X2) | ($true = ((qa @ X3 @ X1)))) | ($true != ((exec @ X2 @ body @ X1)))) & ! [X4 : a,X5 : state] : (($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5))) | (X0 != X5))))),
  inference(flattening,[],[f1270])).
thf(f1337,plain,(
  ! [X0 : state] : (($true = ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (member1389040324_state @ (produc64584659_state @ Y1 @ X0) @ r))))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (X0 = Y1))))) @ body @ qa))) & ((! [X1 : state,X2 : a] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true)) & ! [X3 : state,X4 : state] : ((((exec @ X4 @ body @ X3)) != $true) | ! [X5 : a] : ((((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4)))) | ? [X6 : state,X7 : state] : ((((exec @ X7 @ body @ X6)) = $true) & ? [X8 : a] : ((((pa @ X8 @ X7)) = $true) & ($true != ((qa @ X8 @ X6))) & (((member1389040324_state @ (produc64584659_state @ X7 @ X0) @ r)) = $true))) | ? [X9 : state,X10 : a] : ((((member1389040324_state @ (produc64584659_state @ X9 @ X0) @ r)) = $true) & (((pa @ X10 @ X9)) = $true) & (((termi @ body @ X9)) != $true))))),
  inference(rectify,[],[f1174])).
thf(f1338,plain,(
  ! [X0 : state] : (($true = ((pHoare382919414oare_a @ (insert2053719859tate_o @ (produc33908149tate_o @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (member1389040324_state @ (produc64584659_state @ Y1 @ X0) @ r))))) @ (produc1948644831tate_o @ call @ qa)) @ bot_bo170732493tate_o) @ (^[Y0 : a]: ((^[Y1 : state]: ((pa @ Y0 @ Y1) & (X0 = Y1))))) @ body @ qa))) & ((! [X1 : state,X2 : a] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true)) & ! [X3 : state,X4 : state] : ((((exec @ X4 @ body @ X3)) != $true) | ! [X5 : a] : ((((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4)))) | ((((exec @ (sK17 @ X0) @ body @ (sK16 @ X0))) = $true) & ((((pa @ (sK18 @ X0) @ (sK17 @ X0))) = $true) & (((qa @ (sK18 @ X0) @ (sK16 @ X0))) != $true) & ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X0) @ X0) @ r))))) | (($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r))) & (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true) & (((termi @ body @ (sK19 @ X0))) != $true))))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X5,$thf(sK0 @ X4 @ X3 @ X2 @ X1 @ X0)),skolemize(X5,$thf(sK0 @ X4 @ X3 @ X2 @ X1 @ X0)),skolemize(X5,$thf(sK0 @ X4 @ X3 @ X2 @ X1 @ X0)),skolemize(X5,$thf(sK0 @ X4 @ X3 @ X2 @ X1 @ X0)),skolemize(X5,$thf(sK0 @ X4 @ X3 @ X2 @ X1 @ X0))],[f1337])).
thf(f1550,plain,(
  ? [X0 : a,X1 : state] : ((x = X1) & (((termi @ body @ X1)) != $true) & (((pa @ X0 @ X1)) = $true)) | ? [X2 : state,X3 : state] : (? [X4 : a] : ((((qa @ X4 @ X2)) != $true) & (x = X3) & (((pa @ X4 @ X3)) = $true)) & (((exec @ X3 @ body @ X2)) = $true))),
  inference(rectify,[],[f1128])).
thf(f1551,plain,(
  ((x = sK121) & (((termi @ body @ sK121)) != $true) & (((pa @ sK120 @ sK121)) = $true)) | (((((qa @ sK124 @ sK122)) != $true) & (x = sK123) & (((pa @ sK124 @ sK123)) = $true)) & (((exec @ sK123 @ body @ sK122)) = $true))),
  inference(skolemize,[status(esa),new_symbols(skolem,[sK120,sK121,sK122,sK123,sK124]),skolemize(X0,$thf(sK120)),skolemize(X1,$thf(sK121)),skolemize(X2,$thf(sK122)),skolemize(X3,$thf(sK123)),skolemize(X4,$thf(sK124))],[f1550])).
thf(f1718,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X0) @ X0) @ r))) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1719,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X0) @ X0) @ r))) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1720,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X0) @ X0) @ r))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1721,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((qa @ (sK18 @ X0) @ (sK16 @ X0))) != $true) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1722,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((qa @ (sK18 @ X0) @ (sK16 @ X0))) != $true) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1723,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((qa @ (sK18 @ X0) @ (sK16 @ X0))) != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1724,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((pa @ (sK18 @ X0) @ (sK17 @ X0))) = $true) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1725,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((pa @ (sK18 @ X0) @ (sK17 @ X0))) = $true) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1726,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((pa @ (sK18 @ X0) @ (sK17 @ X0))) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1727,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((exec @ (sK17 @ X0) @ body @ (sK16 @ X0))) = $true) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1728,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((exec @ (sK17 @ X0) @ body @ (sK16 @ X0))) = $true) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1729,plain,(
  ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (X0 != X4) | (((exec @ (sK17 @ X0) @ body @ (sK16 @ X0))) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1730,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X0) @ X0) @ r))) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1731,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X0) @ X0) @ r))) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1732,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X0) @ X0) @ r))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1733,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((qa @ (sK18 @ X0) @ (sK16 @ X0))) != $true) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1734,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((qa @ (sK18 @ X0) @ (sK16 @ X0))) != $true) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1735,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((qa @ (sK18 @ X0) @ (sK16 @ X0))) != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1736,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((pa @ (sK18 @ X0) @ (sK17 @ X0))) = $true) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1737,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((pa @ (sK18 @ X0) @ (sK17 @ X0))) = $true) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1738,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((pa @ (sK18 @ X0) @ (sK17 @ X0))) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1739,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((exec @ (sK17 @ X0) @ body @ (sK16 @ X0))) = $true) | (((termi @ body @ (sK19 @ X0))) != $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1740,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((exec @ (sK17 @ X0) @ body @ (sK16 @ X0))) = $true) | (((pa @ (sK20 @ X0) @ (sK19 @ X0))) = $true)) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1741,plain,(
  ( ! [X2 : a,X0 : state,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | (((pa @ X2 @ X1)) != $true) | (((exec @ (sK17 @ X0) @ body @ (sK16 @ X0))) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X0) @ X0) @ r)))) )),
  inference(cnf_transformation,[],[f1338])).
thf(f1967,plain,(
  ( ! [X0 : state,X4 : a,X5 : state] : ((((member1389040324_state @ (produc64584659_state @ X0 @ x) @ r)) != $true) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5))) | (X0 != X5)) )),
  inference(cnf_transformation,[],[f1271])).
thf(f1968,plain,(
  ( ! [X2 : state,X3 : a,X0 : state,X1 : state] : ((((member1389040324_state @ (produc64584659_state @ X0 @ x) @ r)) != $true) | (((pa @ X3 @ X2)) != $true) | (X0 != X2) | ($true = ((qa @ X3 @ X1))) | ($true != ((exec @ X2 @ body @ X1)))) )),
  inference(cnf_transformation,[],[f1271])).
thf(f2079,plain,(
  (((exec @ sK123 @ body @ sK122)) = $true) | (((pa @ sK120 @ sK121)) = $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2080,plain,(
  (((pa @ sK120 @ sK121)) = $true) | (((pa @ sK124 @ sK123)) = $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2081,plain,(
  (x = sK123) | (((pa @ sK120 @ sK121)) = $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2082,plain,(
  (((pa @ sK120 @ sK121)) = $true) | (((qa @ sK124 @ sK122)) != $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2083,plain,(
  (((exec @ sK123 @ body @ sK122)) = $true) | (((termi @ body @ sK121)) != $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2084,plain,(
  (((termi @ body @ sK121)) != $true) | (((pa @ sK124 @ sK123)) = $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2085,plain,(
  (((termi @ body @ sK121)) != $true) | (x = sK123)),
  inference(cnf_transformation,[],[f1551])).
thf(f2086,plain,(
  (((termi @ body @ sK121)) != $true) | (((qa @ sK124 @ sK122)) != $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2087,plain,(
  (x = sK121) | (((exec @ sK123 @ body @ sK122)) = $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2088,plain,(
  (((pa @ sK124 @ sK123)) = $true) | (x = sK121)),
  inference(cnf_transformation,[],[f1551])).
thf(f2089,plain,(
  (x = sK121) | (x = sK123)),
  inference(cnf_transformation,[],[f1551])).
thf(f2090,plain,(
  (x = sK121) | (((qa @ sK124 @ sK122)) != $true)),
  inference(cnf_transformation,[],[f1551])).
thf(f2262,plain,(
  ( ! [X2 : a,X1 : state] : ((((pa @ X2 @ X1)) != $true) | ($true = ((exec @ (sK17 @ X1) @ body @ (sK16 @ X1)))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X1) @ X1) @ r))) | (((termi @ body @ X1)) = $true)) )),
  inference(equality_resolution,[],[f1741])).
thf(f2263,plain,(
  ( ! [X2 : a,X1 : state] : ((((pa @ X2 @ X1)) != $true) | ($true = ((exec @ (sK17 @ X1) @ body @ (sK16 @ X1)))) | (((termi @ body @ X1)) = $true) | (((pa @ (sK20 @ X1) @ (sK19 @ X1))) = $true)) )),
  inference(equality_resolution,[],[f1740])).
thf(f2264,plain,(
  ( ! [X2 : a,X1 : state] : ((((termi @ body @ (sK19 @ X1))) != $true) | ($true = ((exec @ (sK17 @ X1) @ body @ (sK16 @ X1)))) | (((pa @ X2 @ X1)) != $true) | (((termi @ body @ X1)) = $true)) )),
  inference(equality_resolution,[],[f1739])).
thf(f2265,plain,(
  ( ! [X2 : a,X1 : state] : ((((pa @ X2 @ X1)) != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X1) @ X1) @ r))) | (((termi @ body @ X1)) = $true) | ($true = ((pa @ (sK18 @ X1) @ (sK17 @ X1))))) )),
  inference(equality_resolution,[],[f1738])).
thf(f2266,plain,(
  ( ! [X2 : a,X1 : state] : ((((pa @ X2 @ X1)) != $true) | ($true = ((pa @ (sK18 @ X1) @ (sK17 @ X1)))) | (((termi @ body @ X1)) = $true) | (((pa @ (sK20 @ X1) @ (sK19 @ X1))) = $true)) )),
  inference(equality_resolution,[],[f1737])).
thf(f2267,plain,(
  ( ! [X2 : a,X1 : state] : ((((termi @ body @ (sK19 @ X1))) != $true) | ($true = ((pa @ (sK18 @ X1) @ (sK17 @ X1)))) | (((pa @ X2 @ X1)) != $true) | (((termi @ body @ X1)) = $true)) )),
  inference(equality_resolution,[],[f1736])).
thf(f2268,plain,(
  ( ! [X2 : a,X1 : state] : ((((qa @ (sK18 @ X1) @ (sK16 @ X1))) != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X1) @ X1) @ r))) | (((termi @ body @ X1)) = $true) | (((pa @ X2 @ X1)) != $true)) )),
  inference(equality_resolution,[],[f1735])).
thf(f2269,plain,(
  ( ! [X2 : a,X1 : state] : ((((qa @ (sK18 @ X1) @ (sK16 @ X1))) != $true) | (((pa @ (sK20 @ X1) @ (sK19 @ X1))) = $true) | (((pa @ X2 @ X1)) != $true) | (((termi @ body @ X1)) = $true)) )),
  inference(equality_resolution,[],[f1734])).
thf(f2270,plain,(
  ( ! [X2 : a,X1 : state] : ((((termi @ body @ (sK19 @ X1))) != $true) | (((qa @ (sK18 @ X1) @ (sK16 @ X1))) != $true) | (((termi @ body @ X1)) = $true) | (((pa @ X2 @ X1)) != $true)) )),
  inference(equality_resolution,[],[f1733])).
thf(f2271,plain,(
  ( ! [X2 : a,X1 : state] : ((((pa @ X2 @ X1)) != $true) | (((termi @ body @ X1)) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK17 @ X1) @ X1) @ r)) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ X1) @ X1) @ r)))) )),
  inference(equality_resolution,[],[f1732])).
thf(f2272,plain,(
  ( ! [X2 : a,X1 : state] : ((((pa @ X2 @ X1)) != $true) | (((pa @ (sK20 @ X1) @ (sK19 @ X1))) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK17 @ X1) @ X1) @ r)) = $true) | (((termi @ body @ X1)) = $true)) )),
  inference(equality_resolution,[],[f1731])).
thf(f2273,plain,(
  ( ! [X2 : a,X1 : state] : ((((termi @ body @ (sK19 @ X1))) != $true) | (((member1389040324_state @ (produc64584659_state @ (sK17 @ X1) @ X1) @ r)) = $true) | (((termi @ body @ X1)) = $true) | (((pa @ X2 @ X1)) != $true)) )),
  inference(equality_resolution,[],[f1730])).
thf(f2274,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | ($true != ((pa @ X5 @ X4))) | (((qa @ X5 @ X3)) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ X4) @ X4) @ r)) = $true) | (((exec @ (sK17 @ X4) @ body @ (sK16 @ X4))) = $true)) )),
  inference(equality_resolution,[],[f1729])).
thf(f2275,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | ($true = ((pa @ (sK20 @ X4) @ (sK19 @ X4)))) | (((exec @ (sK17 @ X4) @ body @ (sK16 @ X4))) = $true)) )),
  inference(equality_resolution,[],[f1728])).
thf(f2276,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : (($true != ((termi @ body @ (sK19 @ X4)))) | (((exec @ (sK17 @ X4) @ body @ (sK16 @ X4))) = $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (((exec @ X4 @ body @ X3)) != $true)) )),
  inference(equality_resolution,[],[f1727])).
thf(f2277,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | ($true != ((pa @ X5 @ X4))) | (((pa @ (sK18 @ X4) @ (sK17 @ X4))) = $true) | (((qa @ X5 @ X3)) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ X4) @ X4) @ r)) = $true)) )),
  inference(equality_resolution,[],[f1726])).
thf(f2278,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true = ((pa @ (sK20 @ X4) @ (sK19 @ X4)))) | ($true != ((pa @ X5 @ X4))) | (((pa @ (sK18 @ X4) @ (sK17 @ X4))) = $true)) )),
  inference(equality_resolution,[],[f1725])).
thf(f2279,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : (($true != ((termi @ body @ (sK19 @ X4)))) | ($true != ((pa @ X5 @ X4))) | (((pa @ (sK18 @ X4) @ (sK17 @ X4))) = $true) | (((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true)) )),
  inference(equality_resolution,[],[f1724])).
thf(f2280,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((qa @ (sK18 @ X4) @ (sK16 @ X4))) != $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ X4) @ X4) @ r)) = $true) | (((qa @ X5 @ X3)) = $true) | ($true != ((pa @ X5 @ X4))) | (((exec @ X4 @ body @ X3)) != $true)) )),
  inference(equality_resolution,[],[f1723])).
thf(f2281,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((qa @ (sK18 @ X4) @ (sK16 @ X4))) != $true) | ($true = ((pa @ (sK20 @ X4) @ (sK19 @ X4)))) | ($true != ((pa @ X5 @ X4))) | (((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true)) )),
  inference(equality_resolution,[],[f1722])).
thf(f2282,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : (($true != ((termi @ body @ (sK19 @ X4)))) | (((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | (((qa @ (sK18 @ X4) @ (sK16 @ X4))) != $true) | ($true != ((pa @ X5 @ X4)))) )),
  inference(equality_resolution,[],[f1721])).
thf(f2283,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | ($true != ((pa @ X5 @ X4))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X4) @ X4) @ r))) | (((qa @ X5 @ X3)) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ X4) @ X4) @ r)) = $true)) )),
  inference(equality_resolution,[],[f1720])).
thf(f2284,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : ((((exec @ X4 @ body @ X3)) != $true) | ($true != ((pa @ X5 @ X4))) | (((qa @ X5 @ X3)) = $true) | ($true = ((pa @ (sK20 @ X4) @ (sK19 @ X4)))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X4) @ X4) @ r)))) )),
  inference(equality_resolution,[],[f1719])).
thf(f2285,plain,(
  ( ! [X3 : state,X4 : state,X5 : a] : (($true != ((termi @ body @ (sK19 @ X4)))) | (((exec @ X4 @ body @ X3)) != $true) | (((qa @ X5 @ X3)) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ X4) @ X4) @ r))) | ($true != ((pa @ X5 @ X4)))) )),
  inference(equality_resolution,[],[f1718])).
thf(f2329,plain,(
  ( ! [X2 : state,X3 : a,X1 : state] : (($true != ((member1389040324_state @ (produc64584659_state @ X2 @ x) @ r))) | ($true != ((exec @ X2 @ body @ X1))) | ($true = ((qa @ X3 @ X1))) | (((pa @ X3 @ X2)) != $true)) )),
  inference(equality_resolution,[],[f1968])).
thf(f2330,plain,(
  ( ! [X4 : a,X5 : state] : ((((member1389040324_state @ (produc64584659_state @ X5 @ x) @ r)) != $true) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5)))) )),
  inference(equality_resolution,[],[f1967])).
thf(f2476,definition,(
  spl184_9 <=> (((pa @ sK120 @ sK121)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_9])],[avatar_definition])).
thf(f2478,plain,(
  (((pa @ sK120 @ sK121)) = $true) | ~spl184_9),
  inference(avatar_component_clause,[],[f2476])).
thf(f2480,definition,(
  spl184_10 <=> (((exec @ sK123 @ body @ sK122)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_10])],[avatar_definition])).
thf(f2482,plain,(
  (((exec @ sK123 @ body @ sK122)) = $true) | ~spl184_10),
  inference(avatar_component_clause,[],[f2480])).
thf(f2483,plain,(
  spl184_9 | spl184_10),
  inference(avatar_split_clause,[],[f2079,f2480,f2476])).
thf(f2500,definition,(
  spl184_14 <=> (((qa @ sK124 @ sK122)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_14])],[avatar_definition])).
thf(f2502,plain,(
  (((qa @ sK124 @ sK122)) != $true) | spl184_14),
  inference(avatar_component_clause,[],[f2500])).
thf(f2503,plain,(
  ~spl184_14 | spl184_9),
  inference(avatar_split_clause,[],[f2082,f2476,f2500])).
thf(f2505,definition,(
  spl184_15 <=> (x = sK123)),
  introduced(definition,[new_symbols(definition,[spl184_15])],[avatar_definition])).
thf(f2507,plain,(
  (x = sK123) | ~spl184_15),
  inference(avatar_component_clause,[],[f2505])).
thf(f2508,plain,(
  spl184_9 | spl184_15),
  inference(avatar_split_clause,[],[f2081,f2505,f2476])).
thf(f2525,definition,(
  spl184_19 <=> (((termi @ body @ sK121)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_19])],[avatar_definition])).
thf(f2527,plain,(
  (((termi @ body @ sK121)) != $true) | spl184_19),
  inference(avatar_component_clause,[],[f2525])).
thf(f2528,plain,(
  spl184_15 | ~spl184_19),
  inference(avatar_split_clause,[],[f2085,f2525,f2505])).
thf(f2600,definition,(
  spl184_34 <=> (x = sK121)),
  introduced(definition,[new_symbols(definition,[spl184_34])],[avatar_definition])).
thf(f2602,plain,(
  (x = sK121) | ~spl184_34),
  inference(avatar_component_clause,[],[f2600])).
thf(f2603,plain,(
  spl184_34 | ~spl184_14),
  inference(avatar_split_clause,[],[f2090,f2500,f2600])).
thf(f2625,definition,(
  spl184_39 <=> (((pa @ sK124 @ sK123)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_39])],[avatar_definition])).
thf(f2627,plain,(
  (((pa @ sK124 @ sK123)) = $true) | ~spl184_39),
  inference(avatar_component_clause,[],[f2625])).
thf(f2628,plain,(
  spl184_9 | spl184_39),
  inference(avatar_split_clause,[],[f2080,f2625,f2476])).
thf(f2644,plain,(
  spl184_39 | ~spl184_19),
  inference(avatar_split_clause,[],[f2084,f2525,f2625])).
thf(f2665,plain,(
  spl184_10 | ~spl184_19),
  inference(avatar_split_clause,[],[f2083,f2525,f2480])).
thf(f2671,plain,(
  spl184_34 | spl184_10),
  inference(avatar_split_clause,[],[f2087,f2480,f2600])).
thf(f2672,plain,(
  spl184_34 | spl184_15),
  inference(avatar_split_clause,[],[f2089,f2505,f2600])).
thf(f2688,plain,(
  spl184_34 | spl184_39),
  inference(avatar_split_clause,[],[f2088,f2625,f2600])).
thf(f2694,plain,(
  ~spl184_19 | ~spl184_14),
  inference(avatar_split_clause,[],[f2086,f2500,f2525])).
thf(f2710,plain,(
  (((pa @ sK124 @ x)) = $true) | (~spl184_15 | ~spl184_39)),
  inference(forward_demodulation,[],[f2627,f2507])).
thf(f2712,definition,(
  spl184_55 <=> (((pa @ sK124 @ x)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_55])],[avatar_definition])).
thf(f2713,plain,(
  (((pa @ sK124 @ x)) != $true) | spl184_55),
  inference(avatar_component_clause,[],[f2712])).
thf(f2714,plain,(
  (((pa @ sK124 @ x)) = $true) | ~spl184_55),
  inference(avatar_component_clause,[],[f2712])).
thf(f2715,plain,(
  spl184_55 | ~spl184_15 | ~spl184_39),
  inference(avatar_split_clause,[],[f2710,f2625,f2505,f2712])).
thf(f2730,plain,(
  ($true != ((pa @ sK124 @ sK121))) | (~spl184_34 | spl184_55)),
  inference(forward_demodulation,[],[f2713,f2602])).
thf(f2732,definition,(
  spl184_58 <=> ($true = ((pa @ sK124 @ sK121)))),
  introduced(definition,[new_symbols(definition,[spl184_58])],[avatar_definition])).
thf(f2735,plain,(
  ~spl184_58 | ~spl184_34 | spl184_55),
  inference(avatar_split_clause,[],[f2730,f2712,f2600,f2732])).
thf(f2744,plain,(
  ( ! [X4 : a,X5 : state] : ((((member1389040324_state @ (produc64584659_state @ X5 @ sK121) @ r)) != $true) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5)))) ) | ~spl184_34),
  inference(forward_demodulation,[],[f2330,f2602])).
thf(f2751,plain,(
  (((termi @ body @ sK121)) = $true) | ($true != $true) | (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | (((pa @ (sK20 @ sK121) @ (sK19 @ sK121))) = $true) | ~spl184_9),
  inference(superposition,[],[f2266,f2478])).
thf(f2752,plain,(
  (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | (((termi @ body @ sK121)) = $true) | (((pa @ (sK20 @ sK121) @ (sK19 @ sK121))) = $true) | ~spl184_9),
  inference(trivial_inequality_removal,[],[f2751])).
thf(f2753,plain,(
  (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | (((pa @ (sK20 @ sK121) @ (sK19 @ sK121))) = $true) | (~spl184_9 | spl184_19)),
  inference(forward_subsumption_resolution,[],[f2752,f2527])).
thf(f2755,definition,(
  spl184_61 <=> (((pa @ (sK20 @ sK121) @ (sK19 @ sK121))) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_61])],[avatar_definition])).
thf(f2756,plain,(
  (((pa @ (sK20 @ sK121) @ (sK19 @ sK121))) != $true) | spl184_61),
  inference(avatar_component_clause,[],[f2755])).
thf(f2757,plain,(
  (((pa @ (sK20 @ sK121) @ (sK19 @ sK121))) = $true) | ~spl184_61),
  inference(avatar_component_clause,[],[f2755])).
thf(f2759,definition,(
  spl184_62 <=> (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_62])],[avatar_definition])).
thf(f2761,plain,(
  (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | ~spl184_62),
  inference(avatar_component_clause,[],[f2759])).
thf(f2762,plain,(
  spl184_61 | spl184_62 | ~spl184_9 | spl184_19),
  inference(avatar_split_clause,[],[f2753,f2525,f2476,f2759,f2755])).
thf(f2778,plain,(
  ( ! [X2 : state,X3 : a,X1 : state] : (($true != ((member1389040324_state @ (produc64584659_state @ X2 @ sK121) @ r))) | ($true = ((qa @ X3 @ X1))) | ($true != ((exec @ X2 @ body @ X1))) | (((pa @ X3 @ X2)) != $true)) ) | ~spl184_34),
  inference(forward_demodulation,[],[f2329,f2602])).
thf(f2798,plain,(
  ($true != $true) | (((termi @ body @ sK121)) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | ~spl184_9),
  inference(superposition,[],[f2265,f2478])).
thf(f2801,plain,(
  (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | (((termi @ body @ sK121)) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | ~spl184_9),
  inference(trivial_inequality_removal,[],[f2798])).
thf(f2837,definition,(
  spl184_73 <=> ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ sK121) @ sK121) @ r)))),
  introduced(definition,[new_symbols(definition,[spl184_73])],[avatar_definition])).
thf(f2838,plain,(
  ($true != ((member1389040324_state @ (produc64584659_state @ (sK17 @ sK121) @ sK121) @ r))) | spl184_73),
  inference(avatar_component_clause,[],[f2837])).
thf(f2839,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ sK121) @ sK121) @ r))) | ~spl184_73),
  inference(avatar_component_clause,[],[f2837])).
thf(f2854,definition,(
  spl184_75 <=> (((exec @ (sK17 @ sK121) @ body @ (sK16 @ sK121))) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_75])],[avatar_definition])).
thf(f2858,plain,(
  ($true != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ sK121) @ sK121) @ r))) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | (((termi @ body @ sK121)) = $true) | ~spl184_9),
  inference(superposition,[],[f2271,f2478])).
thf(f2863,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ sK121) @ sK121) @ r))) | (((termi @ body @ sK121)) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | ~spl184_9),
  inference(trivial_inequality_removal,[],[f2858])).
thf(f2865,plain,(
  (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ sK121) @ sK121) @ r))) | (~spl184_9 | spl184_19)),
  inference(forward_subsumption_resolution,[],[f2863,f2527])).
thf(f2867,definition,(
  spl184_76 <=> (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_76])],[avatar_definition])).
thf(f2868,plain,(
  (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) != $true) | spl184_76),
  inference(avatar_component_clause,[],[f2867])).
thf(f2869,plain,(
  (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | ~spl184_76),
  inference(avatar_component_clause,[],[f2867])).
thf(f2871,plain,(
  (((exec @ (sK17 @ sK121) @ body @ (sK16 @ sK121))) = $true) | (((termi @ body @ sK121)) = $true) | ($true != $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | ~spl184_9),
  inference(superposition,[],[f2262,f2478])).
thf(f2875,plain,(
  (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | (((termi @ body @ sK121)) = $true) | (((exec @ (sK17 @ sK121) @ body @ (sK16 @ sK121))) = $true) | ~spl184_9),
  inference(trivial_inequality_removal,[],[f2871])).
thf(f2878,plain,(
  (((exec @ (sK17 @ sK121) @ body @ (sK16 @ sK121))) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | (~spl184_9 | spl184_19)),
  inference(forward_subsumption_resolution,[],[f2875,f2527])).
thf(f2893,definition,(
  spl184_77 <=> (((termi @ body @ (sK19 @ sK121))) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_77])],[avatar_definition])).
thf(f2894,plain,(
  (((termi @ body @ (sK19 @ sK121))) != $true) | spl184_77),
  inference(avatar_component_clause,[],[f2893])).
thf(f2895,plain,(
  (((termi @ body @ (sK19 @ sK121))) = $true) | ~spl184_77),
  inference(avatar_component_clause,[],[f2893])).
thf(f2935,plain,(
  (((exec @ (sK17 @ sK121) @ body @ (sK16 @ sK121))) = $true) | (~spl184_9 | spl184_19 | spl184_61)),
  inference(unit_resulting_resolution,[],[f2263,f2478,f2527,f2756])).
thf(f2936,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ sK121) @ sK121) @ r))) | (~spl184_9 | spl184_19 | spl184_61)),
  inference(unit_resulting_resolution,[],[f2272,f2478,f2527,f2756])).
thf(f2937,plain,(
  (((qa @ (sK18 @ sK121) @ (sK16 @ sK121))) != $true) | (~spl184_9 | spl184_19 | spl184_61)),
  inference(unit_resulting_resolution,[],[f2269,f2478,f2527,f2756])).
thf(f2939,plain,(
  spl184_75 | ~spl184_9 | spl184_19 | spl184_61),
  inference(avatar_split_clause,[],[f2935,f2755,f2525,f2476,f2854])).
thf(f2940,plain,(
  spl184_73 | ~spl184_9 | spl184_19 | spl184_61),
  inference(avatar_split_clause,[],[f2936,f2755,f2525,f2476,f2837])).
thf(f2942,definition,(
  spl184_83 <=> (((qa @ (sK18 @ sK121) @ (sK16 @ sK121))) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_83])],[avatar_definition])).
thf(f2944,plain,(
  (((qa @ (sK18 @ sK121) @ (sK16 @ sK121))) != $true) | spl184_83),
  inference(avatar_component_clause,[],[f2942])).
thf(f2945,plain,(
  ~spl184_83 | ~spl184_9 | spl184_19 | spl184_61),
  inference(avatar_split_clause,[],[f2937,f2755,f2525,f2476,f2942])).
thf(f3016,plain,(
  (((exec @ (sK17 @ sK121) @ body @ (sK16 @ sK121))) != $true) | (~spl184_34 | ~spl184_62 | ~spl184_73 | spl184_83)),
  inference(unit_resulting_resolution,[],[f2778,f2944,f2761,f2839])).
thf(f3023,plain,(
  ~spl184_75 | ~spl184_34 | ~spl184_62 | ~spl184_73 | spl184_83),
  inference(avatar_split_clause,[],[f3016,f2942,f2837,f2759,f2600,f2854])).
thf(f3046,plain,(
  (((termi @ body @ (sK19 @ sK121))) != $true) | (~spl184_9 | spl184_19 | spl184_73)),
  inference(unit_resulting_resolution,[],[f2273,f2478,f2527,f2838])).
thf(f3047,plain,(
  ~spl184_77 | ~spl184_9 | spl184_19 | spl184_73),
  inference(avatar_split_clause,[],[f3046,f2837,f2525,f2476,f2893])).
thf(f3151,plain,(
  (((termi @ body @ (sK19 @ sK121))) = $true) | (~spl184_34 | ~spl184_61 | ~spl184_76)),
  inference(unit_resulting_resolution,[],[f2744,f2757,f2869])).
thf(f3156,plain,(
  spl184_77 | ~spl184_34 | ~spl184_61 | ~spl184_76),
  inference(avatar_split_clause,[],[f3151,f2867,f2755,f2600,f2893])).
thf(f3170,plain,(
  (((qa @ (sK18 @ sK121) @ (sK16 @ sK121))) != $true) | (~spl184_9 | spl184_19 | spl184_76)),
  inference(unit_resulting_resolution,[],[f2268,f2478,f2527,f2868])).
thf(f3172,plain,(
  ~spl184_83 | ~spl184_9 | spl184_19 | spl184_76),
  inference(avatar_split_clause,[],[f3170,f2867,f2525,f2476,f2942])).
thf(f3184,plain,(
  ($true = ((pa @ sK124 @ sK121))) | (~spl184_15 | ~spl184_34 | ~spl184_39)),
  inference(forward_demodulation,[],[f2710,f2602])).
thf(f3189,plain,(
  spl184_58 | ~spl184_15 | ~spl184_34 | ~spl184_39),
  inference(avatar_split_clause,[],[f3184,f2625,f2600,f2505,f2732])).
thf(f3231,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true != $true) | ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ($true = ((termi @ body @ x))) | ~spl184_55),
  inference(superposition,[],[f2262,f2714])).
thf(f3232,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ($true = ((termi @ body @ x))) | ~spl184_55),
  inference(superposition,[],[f2271,f2714])).
thf(f3233,plain,(
  ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ($true = ((termi @ body @ x))) | ($true != $true) | ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ~spl184_55),
  inference(superposition,[],[f2263,f2714])).
thf(f3234,plain,(
  ($true = ((termi @ body @ x))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ($true != $true) | ~spl184_55),
  inference(superposition,[],[f2272,f2714])).
thf(f3235,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true = ((termi @ body @ x))) | ($true != $true) | ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | ~spl184_55),
  inference(superposition,[],[f2265,f2714])).
thf(f3236,plain,(
  ($true != $true) | ($true = ((termi @ body @ x))) | ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ~spl184_55),
  inference(superposition,[],[f2266,f2714])).
thf(f3237,plain,(
  ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | ($true = ((termi @ body @ x))) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ~spl184_55),
  inference(trivial_inequality_removal,[],[f3236])).
thf(f3238,plain,(
  ($true = ((termi @ body @ x))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ~spl184_55),
  inference(trivial_inequality_removal,[],[f3231])).
thf(f3239,plain,(
  ($true = ((termi @ body @ x))) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ~spl184_55),
  inference(trivial_inequality_removal,[],[f3234])).
thf(f3240,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | ($true = ((termi @ body @ x))) | ~spl184_55),
  inference(trivial_inequality_removal,[],[f3235])).
thf(f3241,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true = ((termi @ body @ x))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ~spl184_55),
  inference(trivial_inequality_removal,[],[f3232])).
thf(f3242,plain,(
  ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ($true = ((termi @ body @ x))) | ~spl184_55),
  inference(trivial_inequality_removal,[],[f3233])).
thf(f3244,definition,(
  spl184_92 <=> ($true = ((termi @ body @ x)))),
  introduced(definition,[new_symbols(definition,[spl184_92])],[avatar_definition])).
thf(f3245,plain,(
  ($true != ((termi @ body @ x))) | spl184_92),
  inference(avatar_component_clause,[],[f3244])).
thf(f3248,definition,(
  spl184_93 <=> ($true = ((pa @ (sK18 @ x) @ (sK17 @ x))))),
  introduced(definition,[new_symbols(definition,[spl184_93])],[avatar_definition])).
thf(f3249,plain,(
  ($true != ((pa @ (sK18 @ x) @ (sK17 @ x)))) | spl184_93),
  inference(avatar_component_clause,[],[f3248])).
thf(f3250,plain,(
  ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | ~spl184_93),
  inference(avatar_component_clause,[],[f3248])).
thf(f3252,definition,(
  spl184_94 <=> ($true = ((pa @ (sK20 @ x) @ (sK19 @ x))))),
  introduced(definition,[new_symbols(definition,[spl184_94])],[avatar_definition])).
thf(f3253,plain,(
  ($true != ((pa @ (sK20 @ x) @ (sK19 @ x)))) | spl184_94),
  inference(avatar_component_clause,[],[f3252])).
thf(f3254,plain,(
  ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ~spl184_94),
  inference(avatar_component_clause,[],[f3252])).
thf(f3255,plain,(
  spl184_92 | spl184_93 | spl184_94 | ~spl184_55),
  inference(avatar_split_clause,[],[f3237,f2712,f3252,f3248,f3244])).
thf(f3257,definition,(
  spl184_95 <=> ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x))))),
  introduced(definition,[new_symbols(definition,[spl184_95])],[avatar_definition])).
thf(f3259,plain,(
  ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ~spl184_95),
  inference(avatar_component_clause,[],[f3257])).
thf(f3261,definition,(
  spl184_96 <=> ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r)))),
  introduced(definition,[new_symbols(definition,[spl184_96])],[avatar_definition])).
thf(f3262,plain,(
  ($true != ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | spl184_96),
  inference(avatar_component_clause,[],[f3261])).
thf(f3263,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ~spl184_96),
  inference(avatar_component_clause,[],[f3261])).
thf(f3264,plain,(
  spl184_92 | spl184_95 | spl184_96 | ~spl184_55),
  inference(avatar_split_clause,[],[f3238,f2712,f3261,f3257,f3244])).
thf(f3266,definition,(
  spl184_97 <=> ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r)))),
  introduced(definition,[new_symbols(definition,[spl184_97])],[avatar_definition])).
thf(f3268,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ~spl184_97),
  inference(avatar_component_clause,[],[f3266])).
thf(f3269,plain,(
  spl184_92 | spl184_97 | spl184_94 | ~spl184_55),
  inference(avatar_split_clause,[],[f3239,f2712,f3252,f3266,f3244])).
thf(f3270,plain,(
  spl184_93 | spl184_92 | spl184_96 | ~spl184_55),
  inference(avatar_split_clause,[],[f3240,f2712,f3261,f3244,f3248])).
thf(f3271,plain,(
  spl184_96 | spl184_92 | spl184_97 | ~spl184_55),
  inference(avatar_split_clause,[],[f3241,f2712,f3266,f3244,f3261])).
thf(f3272,plain,(
  spl184_92 | spl184_95 | spl184_94 | ~spl184_55),
  inference(avatar_split_clause,[],[f3242,f2712,f3252,f3257,f3244])).
thf(f3273,plain,(
  (((exec @ x @ body @ sK122)) = $true) | (~spl184_10 | ~spl184_15)),
  inference(forward_demodulation,[],[f2482,f2507])).
thf(f3275,definition,(
  spl184_98 <=> (((exec @ x @ body @ sK122)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_98])],[avatar_definition])).
thf(f3277,plain,(
  (((exec @ x @ body @ sK122)) = $true) | ~spl184_98),
  inference(avatar_component_clause,[],[f3275])).
thf(f3278,plain,(
  spl184_98 | ~spl184_10 | ~spl184_15),
  inference(avatar_split_clause,[],[f3273,f2505,f2480,f3275])).
thf(f3281,plain,(
  ( ! [X0 : a] : (($true != ((pa @ X0 @ x))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | (((qa @ X0 @ sK122)) = $true) | ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ($true != $true)) ) | ~spl184_98),
  inference(superposition,[],[f2274,f3277])).
thf(f3282,plain,(
  ( ! [X0 : a] : (($true != $true) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | (((qa @ X0 @ sK122)) = $true) | ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ($true != ((pa @ X0 @ x)))) ) | ~spl184_98),
  inference(superposition,[],[f2275,f3277])).
thf(f3283,plain,(
  ( ! [X0 : a] : (($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true != $true) | ($true != ((pa @ X0 @ x))) | (((qa @ X0 @ sK122)) = $true) | ($true = ((pa @ (sK18 @ x) @ (sK17 @ x))))) ) | ~spl184_98),
  inference(superposition,[],[f2277,f3277])).
thf(f3284,plain,(
  ( ! [X0 : a] : ((((qa @ X0 @ sK122)) = $true) | ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | ($true != ((pa @ X0 @ x))) | ($true != $true) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x))))) ) | ~spl184_98),
  inference(superposition,[],[f2278,f3277])).
thf(f3285,plain,(
  ( ! [X0 : a] : ((((qa @ X0 @ sK122)) = $true) | ($true != $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true != ((pa @ X0 @ x)))) ) | ~spl184_98),
  inference(superposition,[],[f2283,f3277])).
thf(f3286,plain,(
  ( ! [X0 : a] : ((((qa @ X0 @ sK122)) = $true) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ($true != $true) | ($true != ((pa @ X0 @ x)))) ) | ~spl184_98),
  inference(superposition,[],[f2284,f3277])).
thf(f3288,plain,(
  ( ! [X0 : a] : (($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | (((qa @ X0 @ sK122)) = $true) | ($true != ((pa @ X0 @ x)))) ) | ~spl184_98),
  inference(trivial_inequality_removal,[],[f3283])).
thf(f3289,plain,(
  ( ! [X0 : a] : (($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ($true != ((pa @ X0 @ x))) | (((qa @ X0 @ sK122)) = $true)) ) | ~spl184_98),
  inference(trivial_inequality_removal,[],[f3282])).
thf(f3290,plain,(
  ( ! [X0 : a] : (($true != ((pa @ X0 @ x))) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x)))) | (((qa @ X0 @ sK122)) = $true) | ($true = ((pa @ (sK18 @ x) @ (sK17 @ x))))) ) | ~spl184_98),
  inference(trivial_inequality_removal,[],[f3284])).
thf(f3291,plain,(
  ( ! [X0 : a] : ((((qa @ X0 @ sK122)) = $true) | ($true != ((pa @ X0 @ x))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ($true = ((pa @ (sK20 @ x) @ (sK19 @ x))))) ) | ~spl184_98),
  inference(trivial_inequality_removal,[],[f3286])).
thf(f3292,plain,(
  ( ! [X0 : a] : (($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | ($true != ((pa @ X0 @ x))) | (((qa @ X0 @ sK122)) = $true)) ) | ~spl184_98),
  inference(trivial_inequality_removal,[],[f3281])).
thf(f3294,plain,(
  ( ! [X0 : a] : (($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | ($true = ((member1389040324_state @ (produc64584659_state @ (sK19 @ x) @ x) @ r))) | (((qa @ X0 @ sK122)) = $true) | ($true != ((pa @ X0 @ x)))) ) | ~spl184_98),
  inference(trivial_inequality_removal,[],[f3285])).
thf(f3297,definition,(
  spl184_99 <=> ! [X0 : a] : ((((qa @ X0 @ sK122)) = $true) | ($true != ((pa @ X0 @ x))))),
  introduced(definition,[new_symbols(definition,[spl184_99])],[avatar_definition])).
thf(f3298,plain,(
  ( ! [X0 : a] : (($true != ((pa @ X0 @ x))) | (((qa @ X0 @ sK122)) = $true)) ) | ~spl184_99),
  inference(avatar_component_clause,[],[f3297])).
thf(f3299,plain,(
  spl184_96 | spl184_99 | spl184_93 | ~spl184_98),
  inference(avatar_split_clause,[],[f3288,f3275,f3248,f3297,f3261])).
thf(f3305,plain,(
  spl184_94 | spl184_95 | spl184_99 | ~spl184_98),
  inference(avatar_split_clause,[],[f3289,f3275,f3297,f3257,f3252])).
thf(f3306,plain,(
  spl184_93 | spl184_99 | spl184_94 | ~spl184_98),
  inference(avatar_split_clause,[],[f3290,f3275,f3252,f3297,f3248])).
thf(f3307,plain,(
  spl184_97 | spl184_99 | spl184_94 | ~spl184_98),
  inference(avatar_split_clause,[],[f3291,f3275,f3252,f3297,f3266])).
thf(f3308,plain,(
  spl184_95 | spl184_96 | spl184_99 | ~spl184_98),
  inference(avatar_split_clause,[],[f3292,f3275,f3297,f3261,f3257])).
thf(f3309,plain,(
  spl184_99 | spl184_96 | spl184_97 | ~spl184_98),
  inference(avatar_split_clause,[],[f3294,f3275,f3266,f3261,f3297])).
thf(f3369,definition,(
  spl184_105 <=> (((termi @ body @ (sK19 @ x))) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_105])],[avatar_definition])).
thf(f3371,plain,(
  (((termi @ body @ (sK19 @ x))) = $true) | ~spl184_105),
  inference(avatar_component_clause,[],[f3369])).
thf(f3414,plain,(
  (((pa @ sK124 @ x)) != $true) | (spl184_14 | ~spl184_99)),
  inference(unit_resulting_resolution,[],[f3298,f2502])).
thf(f3426,plain,(
  $false | (spl184_14 | ~spl184_55 | ~spl184_99)),
  inference(forward_subsumption_resolution,[],[f3414,f2714])).
thf(f3427,plain,(
  spl184_14 | ~spl184_55 | ~spl184_99),
  inference(avatar_contradiction_clause,[],[f3426])).
thf(f3433,plain,(
  (((termi @ body @ (sK19 @ x))) = $true) | (~spl184_94 | ~spl184_96)),
  inference(unit_resulting_resolution,[],[f2330,f3254,f3263])).
thf(f3442,plain,(
  spl184_105 | ~spl184_94 | ~spl184_96),
  inference(avatar_split_clause,[],[f3433,f3261,f3252,f3369])).
thf(f3471,plain,(
  ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | (~spl184_55 | spl184_92 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2264,f2714,f3245,f3371])).
thf(f3472,plain,(
  ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | (~spl184_55 | spl184_92 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2267,f2714,f3245,f3371])).
thf(f3473,plain,(
  ($true != ((qa @ (sK18 @ x) @ (sK16 @ x)))) | (~spl184_55 | spl184_92 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2270,f2714,f3245,f3371])).
thf(f3474,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | (~spl184_55 | spl184_92 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2273,f2714,f3245,f3371])).
thf(f3475,plain,(
  ($true = ((exec @ (sK17 @ x) @ body @ (sK16 @ x)))) | (spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2276,f2502,f2714,f3277,f3371])).
thf(f3476,plain,(
  ($true = ((pa @ (sK18 @ x) @ (sK17 @ x)))) | (spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2279,f2502,f2714,f3277,f3371])).
thf(f3477,plain,(
  ($true != ((qa @ (sK18 @ x) @ (sK16 @ x)))) | (spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2282,f2714,f2502,f3277,f3371])).
thf(f3478,plain,(
  ($true = ((member1389040324_state @ (produc64584659_state @ (sK17 @ x) @ x) @ r))) | (spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105)),
  inference(unit_resulting_resolution,[],[f2285,f2714,f2502,f3277,f3371])).
thf(f3503,definition,(
  spl184_113 <=> ($true = ((qa @ (sK18 @ x) @ (sK16 @ x))))),
  introduced(definition,[new_symbols(definition,[spl184_113])],[avatar_definition])).
thf(f3506,plain,(
  ~spl184_113 | spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105),
  inference(avatar_split_clause,[],[f3477,f3369,f3275,f2712,f2500,f3503])).
thf(f3508,plain,(
  spl184_97 | ~spl184_55 | spl184_92 | ~spl184_105),
  inference(avatar_split_clause,[],[f3474,f3369,f3244,f2712,f3266])).
thf(f3509,plain,(
  spl184_95 | spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105),
  inference(avatar_split_clause,[],[f3475,f3369,f3275,f2712,f2500,f3257])).
thf(f3519,plain,(
  spl184_93 | spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105),
  inference(avatar_split_clause,[],[f3476,f3369,f3275,f2712,f2500,f3248])).
thf(f3521,plain,(
  ~spl184_113 | ~spl184_55 | spl184_92 | ~spl184_105),
  inference(avatar_split_clause,[],[f3473,f3369,f3244,f2712,f3503])).
thf(f3524,plain,(
  spl184_93 | ~spl184_55 | spl184_92 | ~spl184_105),
  inference(avatar_split_clause,[],[f3472,f3369,f3244,f2712,f3248])).
thf(f3527,plain,(
  spl184_97 | spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105),
  inference(avatar_split_clause,[],[f3478,f3369,f3275,f2712,f2500,f3266])).
thf(f3528,plain,(
  spl184_95 | ~spl184_55 | spl184_92 | ~spl184_105),
  inference(avatar_split_clause,[],[f3471,f3369,f3244,f2712,f3257])).
thf(f3579,plain,(
  (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ x) @ r)) != $true) | (~spl184_61 | spl184_77)),
  inference(unit_resulting_resolution,[],[f2330,f2757,f2894])).
thf(f3584,definition,(
  spl184_123 <=> (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ x) @ r)) = $true)),
  introduced(definition,[new_symbols(definition,[spl184_123])],[avatar_definition])).
thf(f3587,plain,(
  ~spl184_123 | ~spl184_61 | spl184_77),
  inference(avatar_split_clause,[],[f3579,f2893,f2755,f3584])).
thf(f3599,plain,(
  ($true = ((qa @ (sK18 @ x) @ (sK16 @ x)))) | (~spl184_93 | ~spl184_95 | ~spl184_97)),
  inference(unit_resulting_resolution,[],[f2329,f3250,f3268,f3259])).
thf(f3629,plain,(
  spl184_113 | ~spl184_93 | ~spl184_95 | ~spl184_97),
  inference(avatar_split_clause,[],[f3599,f3266,f3257,f3248,f3503])).
thf(f3759,plain,(
  ($true != ((qa @ (sK18 @ x) @ (sK16 @ x)))) | (~spl184_55 | spl184_92 | spl184_96)),
  inference(unit_resulting_resolution,[],[f2268,f2714,f3245,f3262])).
thf(f3763,plain,(
  ($true != ((qa @ (sK18 @ x) @ (sK16 @ x)))) | (spl184_14 | ~spl184_55 | spl184_96 | ~spl184_98)),
  inference(unit_resulting_resolution,[],[f2280,f2502,f2714,f3277,f3262])).
thf(f3765,plain,(
  ~spl184_113 | ~spl184_55 | spl184_92 | spl184_96),
  inference(avatar_split_clause,[],[f3759,f3261,f3244,f2712,f3503])).
thf(f3766,plain,(
  ~spl184_113 | spl184_14 | ~spl184_55 | spl184_96 | ~spl184_98),
  inference(avatar_split_clause,[],[f3763,f3275,f3261,f2712,f2500,f3503])).
thf(f3792,plain,(
  ($true != ((qa @ (sK18 @ x) @ (sK16 @ x)))) | (~spl184_55 | spl184_92 | spl184_94)),
  inference(unit_resulting_resolution,[],[f2269,f2714,f3245,f3253])).
thf(f3796,plain,(
  ($true != ((qa @ (sK18 @ x) @ (sK16 @ x)))) | (spl184_14 | ~spl184_55 | spl184_94 | ~spl184_98)),
  inference(unit_resulting_resolution,[],[f2281,f2502,f2714,f3277,f3253])).
thf(f3804,plain,(
  ~spl184_113 | ~spl184_55 | spl184_92 | spl184_94),
  inference(avatar_split_clause,[],[f3792,f3252,f3244,f2712,f3503])).
thf(f3805,plain,(
  ~spl184_113 | spl184_14 | ~spl184_55 | spl184_94 | ~spl184_98),
  inference(avatar_split_clause,[],[f3796,f3275,f3252,f2712,f2500,f3503])).
thf(f3806,definition,(
  (x != sK121) | ($true != ((termi @ body @ x))) | (((termi @ body @ sK121)) = $true)),
  introduced(theory,[theory_tautology_sat_conflict])).
thf(f3810,definition,(
  (x != sK121) | (((termi @ body @ (sK19 @ sK121))) != $true) | (((termi @ body @ (sK19 @ x))) = $true)),
  introduced(theory,[theory_tautology_sat_conflict])).
thf(f3811,definition,(
  (x != sK121) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) != $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ x) @ r)) = $true)),
  introduced(theory,[theory_tautology_sat_conflict])).
thf(f3843,plain,(
  spl184_73 | spl184_76 | ~spl184_9 | spl184_19),
  inference(avatar_split_clause,[],[f2865,f2525,f2476,f2867,f2837])).
thf(f3860,plain,(
  spl184_76 | spl184_75 | ~spl184_9 | spl184_19),
  inference(avatar_split_clause,[],[f2878,f2525,f2476,f2854,f2867])).
thf(f3922,plain,(
  (((exec @ (sK17 @ sK121) @ body @ (sK16 @ sK121))) = $true) | (~spl184_9 | spl184_19 | ~spl184_77)),
  inference(unit_resulting_resolution,[],[f2264,f2478,f2527,f2895])).
thf(f3923,plain,(
  (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | (~spl184_9 | spl184_19 | ~spl184_77)),
  inference(unit_resulting_resolution,[],[f2267,f2478,f2527,f2895])).
thf(f3924,plain,(
  (((qa @ (sK18 @ sK121) @ (sK16 @ sK121))) != $true) | (~spl184_9 | spl184_19 | ~spl184_77)),
  inference(unit_resulting_resolution,[],[f2270,f2478,f2527,f2895])).
thf(f3949,plain,(
  ~spl184_83 | ~spl184_9 | spl184_19 | ~spl184_77),
  inference(avatar_split_clause,[],[f3924,f2893,f2525,f2476,f2942])).
thf(f3957,plain,(
  spl184_75 | ~spl184_9 | spl184_19 | ~spl184_77),
  inference(avatar_split_clause,[],[f3922,f2893,f2525,f2476,f2854])).
thf(f3993,plain,(
  (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) != $true) | (~spl184_34 | spl184_93)),
  inference(forward_demodulation,[],[f3249,f2602])).
thf(f4000,plain,(
  (((pa @ (sK18 @ sK121) @ (sK17 @ sK121))) = $true) | (((member1389040324_state @ (produc64584659_state @ (sK19 @ sK121) @ sK121) @ r)) = $true) | (~spl184_9 | spl184_19)),
  inference(forward_subsumption_resolution,[],[f2801,f2527])).
thf(f4008,plain,(
  spl184_62 | ~spl184_9 | spl184_19 | ~spl184_77),
  inference(avatar_split_clause,[],[f3923,f2893,f2525,f2476,f2759])).
thf(f4028,plain,(
  ~spl184_62 | ~spl184_34 | spl184_93),
  inference(avatar_split_clause,[],[f3993,f3248,f2600,f2759])).
thf(f4032,plain,(
  spl184_76 | spl184_62 | ~spl184_9 | spl184_19),
  inference(avatar_split_clause,[],[f4000,f2525,f2476,f2759,f2867])).
cnf(s9, plain, spl184_9 | spl184_10, inference(sat_conversion,[],[f2483])).
cnf(s13, plain, spl184_9 | ~spl184_14, inference(sat_conversion,[],[f2503])).
cnf(s14, plain, spl184_9 | spl184_15, inference(sat_conversion,[],[f2508])).
cnf(s18, plain, spl184_15 | ~spl184_19, inference(sat_conversion,[],[f2528])).
cnf(s34, plain, ~spl184_14 | spl184_34, inference(sat_conversion,[],[f2603])).
cnf(s39, plain, spl184_9 | spl184_39, inference(sat_conversion,[],[f2628])).
cnf(s43, plain, ~spl184_19 | spl184_39, inference(sat_conversion,[],[f2644])).
cnf(s49, plain, spl184_10 | ~spl184_19, inference(sat_conversion,[],[f2665])).
cnf(s51, plain, spl184_10 | spl184_34, inference(sat_conversion,[],[f2671])).
cnf(s52, plain, spl184_15 | spl184_34, inference(sat_conversion,[],[f2672])).
cnf(s57, plain, spl184_34 | spl184_39, inference(sat_conversion,[],[f2688])).
cnf(s59, plain, ~spl184_14 | ~spl184_19, inference(sat_conversion,[],[f2694])).
cnf(s63, plain, ~spl184_15 | ~spl184_39 | spl184_55, inference(sat_conversion,[],[f2715])).
cnf(s67, plain, ~spl184_34 | spl184_55 | ~spl184_58, inference(sat_conversion,[],[f2735])).
cnf(s71, plain, ~spl184_9 | spl184_19 | spl184_61 | spl184_62, inference(sat_conversion,[],[f2762])).
cnf(s98, plain, ~spl184_9 | spl184_19 | spl184_61 | spl184_75, inference(sat_conversion,[],[f2939])).
cnf(s99, plain, ~spl184_9 | spl184_19 | spl184_61 | spl184_73, inference(sat_conversion,[],[f2940])).
cnf(s100, plain, ~spl184_9 | spl184_19 | spl184_61 | ~spl184_83, inference(sat_conversion,[],[f2945])).
cnf(s112, plain, ~spl184_34 | ~spl184_62 | ~spl184_73 | ~spl184_75 | spl184_83, inference(sat_conversion,[],[f3023])).
cnf(s127, plain, ~spl184_9 | spl184_19 | spl184_73 | ~spl184_77, inference(sat_conversion,[],[f3047])).
cnf(s136, plain, ~spl184_34 | ~spl184_61 | ~spl184_76 | spl184_77, inference(sat_conversion,[],[f3156])).
cnf(s141, plain, ~spl184_9 | spl184_19 | spl184_76 | ~spl184_83, inference(sat_conversion,[],[f3172])).
cnf(s150, plain, ~spl184_15 | ~spl184_34 | ~spl184_39 | spl184_58, inference(sat_conversion,[],[f3189])).
cnf(s160, plain, ~spl184_55 | spl184_92 | spl184_93 | spl184_94, inference(sat_conversion,[],[f3255])).
cnf(s161, plain, ~spl184_55 | spl184_92 | spl184_95 | spl184_96, inference(sat_conversion,[],[f3264])).
cnf(s162, plain, ~spl184_55 | spl184_92 | spl184_94 | spl184_97, inference(sat_conversion,[],[f3269])).
cnf(s163, plain, ~spl184_55 | spl184_92 | spl184_93 | spl184_96, inference(sat_conversion,[],[f3270])).
cnf(s164, plain, ~spl184_55 | spl184_92 | spl184_96 | spl184_97, inference(sat_conversion,[],[f3271])).
cnf(s165, plain, ~spl184_55 | spl184_92 | spl184_94 | spl184_95, inference(sat_conversion,[],[f3272])).
cnf(s166, plain, ~spl184_10 | ~spl184_15 | spl184_98, inference(sat_conversion,[],[f3278])).
cnf(s167, plain, spl184_93 | spl184_96 | ~spl184_98 | spl184_99, inference(sat_conversion,[],[f3299])).
cnf(s169, plain, spl184_94 | spl184_95 | ~spl184_98 | spl184_99, inference(sat_conversion,[],[f3305])).
cnf(s170, plain, spl184_93 | spl184_94 | ~spl184_98 | spl184_99, inference(sat_conversion,[],[f3306])).
cnf(s171, plain, spl184_94 | spl184_97 | ~spl184_98 | spl184_99, inference(sat_conversion,[],[f3307])).
cnf(s172, plain, spl184_95 | spl184_96 | ~spl184_98 | spl184_99, inference(sat_conversion,[],[f3308])).
cnf(s173, plain, spl184_96 | spl184_97 | ~spl184_98 | spl184_99, inference(sat_conversion,[],[f3309])).
cnf(s193, plain, spl184_14 | ~spl184_55 | ~spl184_99, inference(sat_conversion,[],[f3427])).
cnf(s196, plain, ~spl184_94 | ~spl184_96 | spl184_105, inference(sat_conversion,[],[f3442])).
cnf(s202, plain, spl184_14 | ~spl184_55 | ~spl184_98 | ~spl184_105 | ~spl184_113, inference(sat_conversion,[],[f3506])).
cnf(s203, plain, ~spl184_55 | spl184_92 | spl184_97 | ~spl184_105, inference(sat_conversion,[],[f3508])).
cnf(s204, plain, spl184_14 | ~spl184_55 | spl184_95 | ~spl184_98 | ~spl184_105, inference(sat_conversion,[],[f3509])).
cnf(s207, plain, spl184_14 | ~spl184_55 | spl184_93 | ~spl184_98 | ~spl184_105, inference(sat_conversion,[],[f3519])).
cnf(s210, plain, ~spl184_55 | spl184_92 | ~spl184_105 | ~spl184_113, inference(sat_conversion,[],[f3521])).
cnf(s212, plain, ~spl184_55 | spl184_92 | spl184_93 | ~spl184_105, inference(sat_conversion,[],[f3524])).
cnf(s214, plain, spl184_14 | ~spl184_55 | spl184_97 | ~spl184_98 | ~spl184_105, inference(sat_conversion,[],[f3527])).
cnf(s215, plain, ~spl184_55 | spl184_92 | spl184_95 | ~spl184_105, inference(sat_conversion,[],[f3528])).
cnf(s226, plain, ~spl184_61 | spl184_77 | ~spl184_123, inference(sat_conversion,[],[f3587])).
cnf(s236, plain, ~spl184_93 | ~spl184_95 | ~spl184_97 | spl184_113, inference(sat_conversion,[],[f3629])).
cnf(s240, plain, ~spl184_55 | spl184_92 | spl184_96 | ~spl184_113, inference(sat_conversion,[],[f3765])).
cnf(s241, plain, spl184_14 | ~spl184_55 | spl184_96 | ~spl184_98 | ~spl184_113, inference(sat_conversion,[],[f3766])).
cnf(s245, plain, ~spl184_55 | spl184_92 | spl184_94 | ~spl184_113, inference(sat_conversion,[],[f3804])).
cnf(s246, plain, spl184_14 | ~spl184_55 | spl184_94 | ~spl184_98 | ~spl184_113, inference(sat_conversion,[],[f3805])).
cnf(s247, plain, spl184_19 | ~spl184_34 | ~spl184_92, inference(sat_conversion,[],[f3806])).
cnf(s251, plain, ~spl184_34 | ~spl184_77 | spl184_105, inference(sat_conversion,[],[f3810])).
cnf(s252, plain, ~spl184_34 | ~spl184_76 | spl184_123, inference(sat_conversion,[],[f3811])).
cnf(s256, plain, ~spl184_9 | spl184_19 | spl184_73 | spl184_76, inference(sat_conversion,[],[f3843])).
cnf(s274, plain, ~spl184_9 | spl184_19 | spl184_75 | spl184_76, inference(sat_conversion,[],[f3860])).
cnf(s299, plain, ~spl184_9 | spl184_19 | ~spl184_77 | ~spl184_83, inference(sat_conversion,[],[f3949])).
cnf(s303, plain, ~spl184_9 | spl184_19 | spl184_75 | ~spl184_77, inference(sat_conversion,[],[f3957])).
cnf(s322, plain, ~spl184_9 | spl184_19 | spl184_62 | ~spl184_77, inference(sat_conversion,[],[f4008])).
cnf(s329, plain, ~spl184_34 | ~spl184_62 | spl184_93, inference(sat_conversion,[],[f4028])).
cnf(s330, plain, ~spl184_9 | spl184_19 | spl184_62 | spl184_76, inference(sat_conversion,[],[f4032])).
cnf(s345, plain, ~spl184_105 | ~spl184_93 | spl184_92 | ~spl184_55, inference(rat,[],[s236,s215,s210,s203])).
cnf(s348, plain, ~spl184_105 | ~spl184_93 | spl184_9, inference(rat,[],[s236,s204,s202,s214,s13,s166,s9,s63,s14,s39])).
cnf(s349, plain, spl184_96 | ~spl184_93 | spl184_9, inference(rat,[],[s236,s173,s172,s241,s166,s9,s193,s63,s14,s39,s13])).
cnf(s350, plain, ~spl184_93 | spl184_9, inference(rat,[],[s236,s171,s169,s246,s196,s349,s348,s166,s9,s193,s63,s14,s39,s13])).
cnf(s351, plain, spl184_9, inference(rat,[],[s196,s170,s167,s207,s350,s193,s63,s166,s9,s13,s14,s39])).
cnf(s352, plain, ~spl184_14 | ~spl184_92, inference(rat,[],[s247,s34,s59])).
cnf(s353, plain, spl184_34 | spl184_98, inference(rat,[],[s166,s51,s52])).
cnf(s354, plain, spl184_98 | ~spl184_92, inference(rat,[],[s166,s18,s49,s247,s353])).
cnf(s355, plain, ~spl184_105 | ~spl184_93 | ~spl184_55, inference(rat,[],[s204,s236,s214,s202,s354,s352,s345])).
cnf(s356, plain, ~spl184_113 | spl184_96 | ~spl184_55, inference(rat,[],[s241,s354,s352,s240])).
cnf(s357, plain, spl184_97 | spl184_96 | ~spl184_55, inference(rat,[],[s173,s193,s354,s352,s164])).
cnf(s358, plain, spl184_95 | spl184_96 | ~spl184_55, inference(rat,[],[s172,s193,s354,s352,s161])).
cnf(s359, plain, spl184_96 | ~spl184_93 | ~spl184_55, inference(rat,[],[s358,s236,s357,s356])).
cnf(s360, plain, ~spl184_113 | ~spl184_98 | spl184_94 | ~spl184_55, inference(rat,[],[s352,s246,s245])).
cnf(s361, plain, spl184_97 | ~spl184_98 | spl184_94 | ~spl184_55, inference(rat,[],[s352,s193,s162,s171])).
cnf(s362, plain, ~spl184_98 | ~spl184_93 | ~spl184_55, inference(rat,[],[s352,s193,s165,s169,s236,s361,s360,s196,s359,s355])).
cnf(s363, plain, ~spl184_93 | ~spl184_55, inference(rat,[],[s236,s165,s162,s245,s354,s362,s196,s359,s355])).
cnf(s364, plain, ~spl184_105 | ~spl184_98 | ~spl184_55, inference(rat,[],[s352,s207,s212,s363])).
cnf(s365, plain, spl184_99 | spl184_105 | ~spl184_98 | spl184_93, inference(rat,[],[s196,s170,s167])).
cnf(s366, plain, ~spl184_98 | ~spl184_55, inference(rat,[],[s136,s71,s330,s251,s329,s34,s59,s193,s365,s364,s363,s351])).
cnf(s367, plain, spl184_92 | ~spl184_55 | spl184_93, inference(rat,[],[s196,s160,s163,s212])).
cnf(s368, plain, ~spl184_55, inference(rat,[],[s367,s354,s366,s363])).
cnf(s369, plain, spl184_34, inference(rat,[],[s63,s52,s57,s368])).
cnf(s370, plain, ~spl184_58, inference(rat,[],[s67,s368,s369])).
cnf(s371, plain, ~spl184_19, inference(rat,[],[s150,s18,s43,s369,s370])).
cnf(s374, plain, ~spl184_83 | ~spl184_123, inference(rat,[],[s226,s299,s100,s351,s371])).
cnf(s375, plain, spl184_73 | ~spl184_76, inference(rat,[],[s136,s99,s127,s369,s351,s371])).
cnf(s376, plain, ~spl184_76 | ~spl184_62, inference(rat,[],[s136,s98,s303,s112,s375,s374,s252,s369,s351,s371])).
cnf(s377, plain, ~spl184_62, inference(rat,[],[s112,s256,s274,s141,s376,s369,s351,s371])).
cnf(s379, plain, spl184_76, inference(rat,[],[s330,s371,s351,s377])).
cnf(s380, plain, ~spl184_77, inference(rat,[],[s322,s371,s351,s377])).
cnf(s381, plain, spl184_61, inference(rat,[],[s71,s371,s351,s377])).
cnf(s385, plain, $false, inference(rat,[],[s136,s379,s369,s380,s381])).
thf(f4079,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s385])).
% SZS output end Proof for theBenchmark