%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474_2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:31 PM UTC 2026
% Result : Theorem 3.30s 1.19s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 19 unt; 0 typ; 2 def)
% Number of atoms : 106 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 51 ~; 47 |; 0 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 177 ( 176 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 3 prp; 0-2 aty)
% Number of functors : 383 ( 383 usr; 113 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
com: $tType ).
tff(type_def_6,type,
pname: $tType ).
tff(type_def_7,type,
state: $tType ).
tff(type_def_8,type,
bool: $tType ).
tff(type_def_9,type,
hoare_1875481847_state: $tType ).
tff(type_def_10,type,
option_com: $tType ).
tff(type_def_11,type,
option_pname: $tType ).
tff(type_def_12,type,
option1681283416_state: $tType ).
tff(type_def_13,type,
fun_com_bool: $tType ).
tff(type_def_14,type,
fun_co2032091866_state: $tType ).
tff(type_def_15,type,
fun_co1633267573l_bool: $tType ).
tff(type_def_16,type,
fun_co2038576728m_bool: $tType ).
tff(type_def_17,type,
fun_co879055186_state: $tType ).
tff(type_def_18,type,
fun_pname_com: $tType ).
tff(type_def_19,type,
fun_pname_pname: $tType ).
tff(type_def_20,type,
fun_pname_bool: $tType ).
tff(type_def_21,type,
fun_pn664418900_state: $tType ).
tff(type_def_22,type,
fun_pname_option_com: $tType ).
tff(type_def_23,type,
fun_pn92346699_state: $tType ).
tff(type_def_24,type,
fun_pn1208287926_pname: $tType ).
tff(type_def_25,type,
fun_pn800050071e_bool: $tType ).
tff(type_def_26,type,
fun_pn12888928e_bool: $tType ).
tff(type_def_27,type,
fun_pn250273176l_bool: $tType ).
tff(type_def_28,type,
fun_pn760644914e_bool: $tType ).
tff(type_def_29,type,
fun_pn1776597836_state: $tType ).
tff(type_def_30,type,
fun_pn1243268074_state: $tType ).
tff(type_def_31,type,
fun_pn1580610524on_com: $tType ).
tff(type_def_32,type,
fun_pn1673019570on_com: $tType ).
tff(type_def_33,type,
fun_pn422929397l_bool: $tType ).
tff(type_def_34,type,
fun_pn479984722e_bool: $tType ).
tff(type_def_35,type,
fun_pn1610849624_state: $tType ).
tff(type_def_36,type,
fun_pn249986828l_bool: $tType ).
tff(type_def_37,type,
fun_state_bool: $tType ).
tff(type_def_38,type,
fun_st1506752259e_bool: $tType ).
tff(type_def_39,type,
fun_st858662806e_bool: $tType ).
tff(type_def_40,type,
fun_st2116860965l_bool: $tType ).
tff(type_def_41,type,
fun_st2063251938l_bool: $tType ).
tff(type_def_42,type,
fun_st1483075957e_bool: $tType ).
tff(type_def_43,type,
fun_st277393160e_bool: $tType ).
tff(type_def_44,type,
fun_bool_bool: $tType ).
tff(type_def_45,type,
fun_bo1936561970e_bool: $tType ).
tff(type_def_46,type,
fun_bo898473669e_bool: $tType ).
tff(type_def_47,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_48,type,
fun_bo840793679_state: $tType ).
tff(type_def_49,type,
fun_bo79750167on_com: $tType ).
tff(type_def_50,type,
fun_Ho1653816318_pname: $tType ).
tff(type_def_51,type,
fun_Ho1996104121e_bool: $tType ).
tff(type_def_52,type,
fun_Ho1455141843_state: $tType ).
tff(type_def_53,type,
fun_Ho14659478e_bool: $tType ).
tff(type_def_54,type,
fun_Ho1896286681l_bool: $tType ).
tff(type_def_55,type,
fun_Ho1695028467e_bool: $tType ).
tff(type_def_56,type,
fun_Ho784854669_state: $tType ).
tff(type_def_57,type,
fun_Ho760178998l_bool: $tType ).
tff(type_def_58,type,
fun_Ho1085560331l_bool: $tType ).
tff(type_def_59,type,
fun_Ho1110608055e_bool: $tType ).
tff(type_def_60,type,
fun_option_com_com: $tType ).
tff(type_def_61,type,
fun_op606842979on_com: $tType ).
tff(type_def_62,type,
fun_op564655445on_com: $tType ).
tff(type_def_63,type,
fun_fu1362071682l_bool: $tType ).
tff(type_def_64,type,
fun_fu241528037m_bool: $tType ).
tff(type_def_65,type,
fun_fu973320112_state: $tType ).
tff(type_def_66,type,
fun_fu642263570_state: $tType ).
tff(type_def_67,type,
fun_fu264874349e_bool: $tType ).
tff(type_def_68,type,
fun_fu1499449723_pname: $tType ).
tff(type_def_69,type,
fun_fu1430349052l_bool: $tType ).
tff(type_def_70,type,
fun_fu1604182422_state: $tType ).
tff(type_def_71,type,
fun_fu410713561e_bool: $tType ).
tff(type_def_72,type,
fun_fu1286003254e_bool: $tType ).
tff(type_def_73,type,
fun_fu152205775l_bool: $tType ).
tff(type_def_74,type,
fun_fu2016078089_state: $tType ).
tff(type_def_75,type,
fun_fu637830609on_com: $tType ).
tff(type_def_76,type,
fun_fu31783638l_bool: $tType ).
tff(type_def_77,type,
fun_fu1176632176e_bool: $tType ).
tff(type_def_78,type,
fun_fu802393907l_bool: $tType ).
tff(type_def_79,type,
fun_fu2101097872e_bool: $tType ).
tff(type_def_80,type,
fun_fu514526030l_bool: $tType ).
tff(type_def_81,type,
fun_fu931343505l_bool: $tType ).
tff(type_def_82,type,
fun_fu1232732404l_bool: $tType ).
tff(type_def_83,type,
fun_fu1904437005_state: $tType ).
tff(type_def_84,type,
fun_fu557884239e_bool: $tType ).
tff(type_def_85,type,
fun_fu1869380457_state: $tType ).
tff(type_def_86,type,
fun_fu1742234008me_com: $tType ).
tff(type_def_87,type,
fun_fu311741085on_com: $tType ).
tff(type_def_88,type,
fun_fu544728625on_com: $tType ).
tff(type_def_89,type,
fun_fu993978052_state: $tType ).
tff(type_def_90,type,
fun_fu25451830e_bool: $tType ).
tff(type_def_91,type,
fun_fu577621651e_bool: $tType ).
tff(type_def_92,type,
fun_fu1779604751l_bool: $tType ).
tff(type_def_93,type,
fun_fu2087509785_state: $tType ).
tff(type_def_94,type,
fun_fu2096203996_state: $tType ).
tff(type_def_95,type,
fun_fu1576495102e_bool: $tType ).
tff(type_def_96,type,
fun_fu2056752087l_bool: $tType ).
tff(type_def_97,type,
fun_fu1045989665e_bool: $tType ).
tff(type_def_98,type,
fun_fu1646366334_state: $tType ).
tff(type_def_99,type,
fun_fu1848601144_state: $tType ).
tff(type_def_100,type,
fun_fu1908735358on_com: $tType ).
tff(type_def_101,type,
fun_fu1867668424on_com: $tType ).
tff(type_def_102,type,
fun_fu696558561e_bool: $tType ).
tff(type_def_103,type,
fun_fu1018334113e_bool: $tType ).
tff(type_def_104,type,
fun_fu1956604286_state: $tType ).
tff(type_def_105,type,
fun_fu1543647229e_bool: $tType ).
tff(type_def_106,type,
fun_fu93307442l_bool: $tType ).
tff(type_def_107,type,
fun_fu373216837e_bool: $tType ).
tff(type_def_108,type,
fun_fu1998731480e_bool: $tType ).
tff(type_def_109,type,
fun_fu1658206819l_bool: $tType ).
tff(type_def_110,type,
fun_fu827928799_state: $tType ).
tff(type_def_111,type,
fun_fu404278912_state: $tType ).
tff(type_def_112,type,
fun_fu2104550360e_bool: $tType ).
tff(type_def_113,type,
fun_fu402792811e_bool: $tType ).
tff(type_def_114,type,
fun_fu475229566e_bool: $tType ).
tff(type_def_115,type,
fun_fu1982748883l_bool: $tType ).
tff(type_def_116,type,
fun_fu1867913342e_bool: $tType ).
tff(type_def_117,type,
fun_fu1454697805e_bool: $tType ).
tff(type_def_118,type,
fun_fu1088452192e_bool: $tType ).
tff(type_def_119,type,
fun_fu1219323149e_bool: $tType ).
tff(type_def_120,type,
fun_fu1047394976e_bool: $tType ).
tff(type_def_121,type,
fun_fu13754701e_bool: $tType ).
tff(type_def_122,type,
fun_fu1436120077e_bool: $tType ).
tff(type_def_123,type,
fun_fu2020320649e_bool: $tType ).
tff(type_def_124,type,
fun_fu235184776_pname: $tType ).
tff(type_def_125,type,
fun_fu689207471l_bool: $tType ).
tff(type_def_126,type,
fun_fu385705929_state: $tType ).
tff(type_def_127,type,
fun_fu1040518284e_bool: $tType ).
tff(type_def_128,type,
fun_fu854396771l_bool: $tType ).
tff(type_def_129,type,
fun_fu1296727421e_bool: $tType ).
tff(type_def_130,type,
fun_fu811519275l_bool: $tType ).
tff(type_def_131,type,
fun_fu775812037e_bool: $tType ).
tff(type_def_132,type,
fun_fu1962076352l_bool: $tType ).
tff(type_def_133,type,
fun_fu1173762305l_bool: $tType ).
tff(type_def_134,type,
fun_fu947547457e_bool: $tType ).
tff(type_def_135,type,
fun_fu2083718837l_bool: $tType ).
tff(type_def_136,type,
fun_fu2107095047l_bool: $tType ).
tff(type_def_137,type,
fun_fu1653236447e_bool: $tType ).
tff(type_def_138,type,
fun_fu2091051353e_bool: $tType ).
tff(type_def_139,type,
fun_fu1007240549l_bool: $tType ).
tff(type_def_140,type,
fun_fu1856979029e_bool: $tType ).
tff(type_def_141,type,
fun_fu572183031e_bool: $tType ).
tff(type_def_142,type,
fun_fu302189515e_bool: $tType ).
tff(type_def_143,type,
fun_fu601378633l_bool: $tType ).
tff(type_def_144,type,
fun_fu1403260939e_bool: $tType ).
tff(type_def_145,type,
fun_fu1067265135e_bool: $tType ).
tff(type_def_146,type,
fun_fu349737825e_bool: $tType ).
tff(type_def_147,type,
fun_fu265667599e_bool: $tType ).
tff(type_def_148,type,
fun_fu399576434l_bool: $tType ).
tff(type_def_149,type,
fun_fu608906319e_bool: $tType ).
tff(type_def_150,type,
fun_fu1333785210e_bool: $tType ).
tff(type_def_151,type,
fun_fu2087345469l_bool: $tType ).
tff(type_def_152,type,
fun_fu1747008875l_bool: $tType ).
tff(type_def_153,type,
fun_fu1911931399l_bool: $tType ).
tff(type_def_154,type,
fun_fu1759027710l_bool: $tType ).
tff(type_def_155,type,
fun_fu764251295e_bool: $tType ).
tff(type_def_156,type,
fun_fu154623769l_bool: $tType ).
tff(type_def_157,type,
fun_fu502368472l_bool: $tType ).
tff(type_def_158,type,
fun_fu542338571l_bool: $tType ).
tff(type_def_159,type,
fun_fu1901728075l_bool: $tType ).
tff(type_def_160,type,
fun_fu445680937l_bool: $tType ).
tff(type_def_161,type,
fun_fu372702637e_bool: $tType ).
tff(type_def_162,type,
fun_fu237807729l_bool: $tType ).
tff(type_def_163,type,
fun_fu2122198606e_bool: $tType ).
tff(type_def_164,type,
fun_fu1163781179e_bool: $tType ).
tff(type_def_165,type,
fun_fu663891139l_bool: $tType ).
tff(type_def_166,type,
fun_fu2072024677l_bool: $tType ).
tff(type_def_167,type,
fun_fu90736755l_bool: $tType ).
tff(type_def_168,type,
fun_fu1415736773l_bool: $tType ).
tff(type_def_169,type,
fun_fu1900462437e_bool: $tType ).
tff(type_def_170,type,
fun_fu262057981l_bool: $tType ).
tff(type_def_171,type,
fun_fu1370073565l_bool: $tType ).
tff(type_def_172,type,
fun_fu1703951883l_bool: $tType ).
tff(type_def_173,type,
fun_fu1923372391l_bool: $tType ).
tff(type_def_174,type,
fun_fu1805752587l_bool: $tType ).
tff(type_def_175,type,
fun_fu1438281908l_bool: $tType ).
tff(type_def_176,type,
fun_fu1610316873l_bool: $tType ).
tff(type_def_177,type,
fun_fu1787620979l_bool: $tType ).
tff(type_def_178,type,
fun_fu1086366823l_bool: $tType ).
tff(type_def_179,type,
fun_fu2056529149l_bool: $tType ).
tff(type_def_180,type,
fun_fu544723403l_bool: $tType ).
tff(func_def_0,type,
cOMBB_1364904209_pname: fun_co2032091866_state > fun_fu973320112_state ).
tff(func_def_1,type,
cOMBB_542850580_pname: fun_pn800050071e_bool > fun_fu264874349e_bool ).
tff(func_def_2,type,
cOMBB_315976743_state: fun_pn800050071e_bool > fun_fu2020320649e_bool ).
tff(func_def_3,type,
cOMBB_598082538e_bool: fun_pn800050071e_bool > fun_fu265667599e_bool ).
tff(func_def_4,type,
cOMBB_184405641e_bool: fun_pn800050071e_bool > fun_fu372702637e_bool ).
tff(func_def_5,type,
cOMBB_647938656_pname: fun_bool_bool > fun_fu410713561e_bool ).
tff(func_def_6,type,
cOMBB_160679318_state: fun_bool_bool > fun_fu373216837e_bool ).
tff(func_def_7,type,
cOMBB_1424001755_state: fun_bool_bool > fun_fu1296727421e_bool ).
tff(func_def_8,type,
cOMBB_307249310e_bool: fun_bool_bool > fun_fu2087345469l_bool ).
tff(func_def_9,type,
cOMBB_469839573e_bool: fun_bool_bool > fun_fu663891139l_bool ).
tff(func_def_10,type,
cOMBB_675860798_pname: fun_bo1549164019l_bool > fun_fu152205775l_bool ).
tff(func_def_11,type,
cOMBB_188601460_state: fun_bo1549164019l_bool > fun_fu1658206819l_bool ).
tff(func_def_12,type,
cOMBB_242064253_state: fun_bo1549164019l_bool > fun_fu811519275l_bool ).
tff(func_def_13,type,
cOMBB_2095475776e_bool: fun_bo1549164019l_bool > fun_fu1747008875l_bool ).
tff(func_def_14,type,
cOMBB_532710323e_bool: fun_bo1549164019l_bool > fun_fu2072024677l_bool ).
tff(func_def_15,type,
cOMBB_1989814576_pname: fun_bo840793679_state > fun_fu2016078089_state ).
tff(func_def_16,type,
cOMBB_1394247784_pname: fun_bo79750167on_com > fun_fu637830609on_com ).
tff(func_def_17,type,
cOMBB_2037342654_pname: fun_Ho1695028467e_bool > fun_fu557884239e_bool ).
tff(func_def_18,type,
cOMBB_1903241981_state: fun_Ho1695028467e_bool > fun_fu1653236447e_bool ).
tff(func_def_19,type,
cOMBB_93797312e_bool: fun_Ho1695028467e_bool > fun_fu764251295e_bool ).
tff(func_def_20,type,
cOMBB_1094554675e_bool: fun_Ho1695028467e_bool > fun_fu1900462437e_bool ).
tff(func_def_21,type,
cOMBB_923936821_pname: fun_option_com_com > fun_fu1742234008me_com ).
tff(func_def_22,type,
cOMBB_530759491_pname: fun_fu1430349052l_bool > fun_fu25451830e_bool ).
tff(func_def_23,type,
cOMBB_408569982_pname: fun_fu802393907l_bool > fun_fu1779604751l_bool ).
tff(func_def_24,type,
cOMBB_582022205_state: fun_fu802393907l_bool > fun_fu1007240549l_bool ).
tff(func_def_25,type,
cOMBB_1911358915_state: fun_fu93307442l_bool > fun_fu2104550360e_bool ).
tff(func_def_26,type,
cOMBB_1476898461_state: fun_fu1998731480e_bool > fun_fu475229566e_bool ).
tff(func_def_27,type,
cOMBB_1759179140_state: fun_fu1658206819l_bool > fun_fu1982748883l_bool ).
tff(func_def_28,type,
cOMBB_718493681_pname: fun_fu404278912_state > fun_fu2096203996_state ).
tff(func_def_29,type,
cOMBB_1036740637_state: fun_fu2104550360e_bool > fun_fu1867913342e_bool ).
tff(func_def_30,type,
cOMBB_1757942702_state: fun_fu1219323149e_bool > fun_fu1454697805e_bool ).
tff(func_def_31,type,
cOMBB_20296667_state: fun_fu1047394976e_bool > fun_fu1088452192e_bool ).
tff(func_def_32,type,
cOMBB_1380679615_state: fun_fu689207471l_bool > fun_fu572183031e_bool ).
tff(func_def_33,type,
cOMBB_2094848682_pname: fun_fu1173762305l_bool > fun_fu2056752087l_bool ).
tff(func_def_34,type,
cOMBB_2063006993_state: fun_fu1173762305l_bool > fun_fu601378633l_bool ).
tff(func_def_35,type,
cOMBC_1149511130e_bool: fun_fu577621651e_bool ).
tff(func_def_36,type,
cOMBC_951029257e_bool: fun_fu1045989665e_bool ).
tff(func_def_37,type,
cOMBC_1058051404l_bool: fun_fu696558561e_bool ).
tff(func_def_38,type,
cOMBC_1123258281e_bool: fun_fu1018334113e_bool ).
tff(func_def_39,type,
cOMBC_1788166607l_bool: fun_fu1543647229e_bool ).
tff(func_def_40,type,
cOMBC_2027030106e_bool: fun_fu402792811e_bool ).
tff(func_def_41,type,
cOMBC_231445413l_bool: fun_fu1219323149e_bool ).
tff(func_def_42,type,
cOMBC_471052088e_bool: fun_fu13754701e_bool ).
tff(func_def_43,type,
cOMBC_952831051e_bool: fun_fu1436120077e_bool ).
tff(func_def_44,type,
cOMBC_1259060397e_bool: fun_fu2091051353e_bool ).
tff(func_def_45,type,
cOMBC_1972244470e_bool: fun_fu302189515e_bool ).
tff(func_def_46,type,
cOMBC_2049654457l_bool: fun_fu1403260939e_bool ).
tff(func_def_47,type,
cOMBC_1099403170l_bool: fun_fu1067265135e_bool ).
tff(func_def_48,type,
cOMBC_483615668e_bool: fun_fu349737825e_bool ).
tff(func_def_49,type,
cOMBC_1004116266e_bool: fun_fu154623769l_bool ).
tff(func_def_50,type,
cOMBC_620146361e_bool: fun_fu542338571l_bool ).
tff(func_def_51,type,
cOMBC_1284144636l_bool: fun_fu1901728075l_bool ).
tff(func_def_52,type,
cOMBC_1988546018l_bool: fun_fu445680937l_bool ).
tff(func_def_53,type,
cOMBC_217340069e_bool: fun_fu262057981l_bool ).
tff(func_def_54,type,
cOMBC_685773310e_bool: fun_fu1703951883l_bool ).
tff(func_def_55,type,
cOMBC_195806106l_bool: fun_fu1923372391l_bool ).
tff(func_def_56,type,
cOMBC_1909905718l_bool: fun_fu1805752587l_bool ).
tff(func_def_57,type,
cOMBC_7971162l_bool: fun_fu1787620979l_bool ).
tff(func_def_58,type,
cOMBC_686159718l_bool: fun_fu544723403l_bool ).
tff(func_def_59,type,
cOMBK_1595564845_state: pname > fun_Ho1653816318_pname ).
tff(func_def_60,type,
cOMBK_bool_pname: bool > fun_pname_bool ).
tff(func_def_61,type,
cOMBK_2086958736_state: bool > fun_Ho1996104121e_bool ).
tff(func_def_62,type,
cOMBK_1857069011e_bool: bool > fun_fu1430349052l_bool ).
tff(func_def_63,type,
cOMBK_1224513760e_bool: bool > fun_fu689207471l_bool ).
tff(func_def_64,type,
cOMBK_1032401873_pname: hoare_1875481847_state > fun_pn664418900_state ).
tff(func_def_65,type,
cOMBK_631994958_state: fun_state_bool > fun_st1506752259e_bool ).
tff(func_def_66,type,
cOMBS_1674056844_state: fun_fu993978052_state ).
tff(func_def_67,type,
cOMBS_568398431l_bool: fun_fu1576495102e_bool ).
tff(func_def_68,type,
cOMBS_629630867_state: fun_fu1646366334_state ).
tff(func_def_69,type,
cOMBS_602905655_state: fun_fu1848601144_state ).
tff(func_def_70,type,
cOMBS_904531235on_com: fun_fu1908735358on_com ).
tff(func_def_71,type,
cOMBS_1529518335on_com: fun_fu1867668424on_com ).
tff(func_def_72,type,
cOMBS_475568287_state: fun_fu1956604286_state ).
tff(func_def_73,type,
cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).
tff(func_def_74,type,
cOMBS_896408300l_bool: fun_fu1856979029e_bool ).
tff(func_def_75,type,
cOMBS_350070575l_bool: fun_fu502368472l_bool ).
tff(func_def_76,type,
cOMBS_1451994324l_bool: fun_fu1370073565l_bool ).
tff(func_def_77,type,
wt: fun_com_bool ).
tff(func_def_78,type,
wT_bodies: bool ).
tff(func_def_79,type,
body: fun_pname_option_com ).
tff(func_def_80,type,
body_1: fun_pname_com ).
tff(func_def_81,type,
skip: com ).
tff(func_def_82,type,
semi: ( com * com ) > com ).
tff(func_def_83,type,
while: ( fun_state_bool * com ) > com ).
tff(func_def_84,type,
finite_finite_pname: fun_fu1430349052l_bool ).
tff(func_def_85,type,
finite1792194148_state: fun_fu689207471l_bool ).
tff(func_def_86,type,
finite595471783e_bool: fun_fu399576434l_bool ).
tff(func_def_87,type,
finite1559130124e_bool: fun_fu237807729l_bool ).
tff(func_def_88,type,
finite786885583l_bool: fun_fu1438281908l_bool ).
tff(func_def_89,type,
finite1234242204l_bool: fun_fu1086366823l_bool ).
tff(func_def_90,type,
finite1282449217_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).
tff(func_def_91,type,
finite1782051386_state: ( fun_Ho784854669_state * fun_fu385705929_state ) > bool ).
tff(func_def_92,type,
finite1626890877e_bool: ( fun_fu2101097872e_bool * fun_fu608906319e_bool ) > bool ).
tff(func_def_93,type,
finite792754358e_bool: ( fun_fu947547457e_bool * fun_fu1163781179e_bool ) > bool ).
tff(func_def_94,type,
finite89670078_pname: ( fun_pn1208287926_pname * fun_fu1499449723_pname ) > bool ).
tff(func_def_95,type,
finite1514162941_state: ( fun_Ho784854669_state * fun_fu385705929_state ) > bool ).
tff(func_def_96,type,
finite1268145088e_bool: ( fun_fu2101097872e_bool * fun_fu608906319e_bool ) > bool ).
tff(func_def_97,type,
finite1619424307e_bool: ( fun_fu947547457e_bool * fun_fu1163781179e_bool ) > bool ).
tff(func_def_98,type,
minus_1015773161e_bool: fun_fu2101097872e_bool ).
tff(func_def_99,type,
minus_589155914e_bool: fun_fu947547457e_bool ).
tff(func_def_100,type,
minus_1290075917l_bool: fun_fu1759027710l_bool ).
tff(func_def_101,type,
minus_1959767774l_bool: fun_fu1415736773l_bool ).
tff(func_def_102,type,
the_pname: fun_fu1499449723_pname ).
tff(func_def_103,type,
the_Ho1017792262_state: fun_fu385705929_state ).
tff(func_def_104,type,
hoare_Mirabelle_MGT: fun_co2032091866_state ).
tff(func_def_105,type,
hoare_2131502867_state: fun_Ho1996104121e_bool > fun_fu689207471l_bool ).
tff(func_def_106,type,
hoare_390430481_state: fun_Ho1996104121e_bool > fun_fu689207471l_bool ).
tff(func_def_107,type,
hoare_1239590103gleton: bool ).
tff(func_def_108,type,
hoare_13225861_state: fun_fu404278912_state ).
tff(func_def_109,type,
if_Hoa1541320583_state: fun_bo840793679_state ).
tff(func_def_110,type,
if_option_com: fun_bo79750167on_com ).
tff(func_def_111,type,
semila1635148844e_bool: fun_fu2101097872e_bool ).
tff(func_def_112,type,
semila657954503e_bool: fun_fu947547457e_bool ).
tff(func_def_113,type,
semila1130628874l_bool: fun_fu1759027710l_bool ).
tff(func_def_114,type,
semila1058800161l_bool: fun_fu1415736773l_bool ).
tff(func_def_115,type,
semila1168014441p_bool: fun_bo1549164019l_bool ).
tff(func_def_116,type,
semila278973382e_bool: fun_fu2101097872e_bool ).
tff(func_def_117,type,
semila1107643821e_bool: fun_fu947547457e_bool ).
tff(func_def_118,type,
semila1782091504l_bool: fun_fu1759027710l_bool ).
tff(func_def_119,type,
semila1703230395l_bool: fun_fu1415736773l_bool ).
tff(func_def_120,type,
dom_pname_com: fun_pname_option_com > fun_pname_bool ).
tff(func_def_121,type,
evalc: com > fun_st1506752259e_bool ).
tff(func_def_122,type,
some_com: com > option_com ).
tff(func_def_123,type,
some_pname: pname > option_pname ).
tff(func_def_124,type,
some_H2141159592_state: hoare_1875481847_state > option1681283416_state ).
tff(func_def_125,type,
set_com: option_com > fun_com_bool ).
tff(func_def_126,type,
set_pname: option_pname > fun_pname_bool ).
tff(func_def_127,type,
set_Ho691846255_state: option1681283416_state > fun_Ho1996104121e_bool ).
tff(func_def_128,type,
the_com: fun_option_com_com ).
tff(func_def_129,type,
bot_bot_bool: bool ).
tff(func_def_130,type,
bot_bot_fun_com_bool: fun_com_bool ).
tff(func_def_131,type,
bot_bo844097828e_bool: fun_pname_bool ).
tff(func_def_132,type,
bot_bo1715400655e_bool: fun_Ho1996104121e_bool ).
tff(func_def_133,type,
bot_bo1649642514l_bool: fun_fu1430349052l_bool ).
tff(func_def_134,type,
bot_bo973479705l_bool: fun_fu689207471l_bool ).
tff(func_def_135,type,
ord_less_eq_bool: fun_bo1549164019l_bool ).
tff(func_def_136,type,
ord_le313189616e_bool: fun_fu802393907l_bool ).
tff(func_def_137,type,
ord_le233469699e_bool: fun_fu1173762305l_bool ).
tff(func_def_138,type,
ord_le675606854l_bool: fun_fu1911931399l_bool ).
tff(func_def_139,type,
ord_le724727525l_bool: fun_fu90736755l_bool ).
tff(func_def_140,type,
collect_pname: fun_fu410713561e_bool ).
tff(func_def_141,type,
collec1735317154_state: fun_fu1296727421e_bool ).
tff(func_def_142,type,
collec1974731493e_bool: fun_fu2087345469l_bool ).
tff(func_def_143,type,
collec771609166e_bool: fun_fu663891139l_bool ).
tff(func_def_144,type,
collec1613912337l_bool: fun_fu1610316873l_bool ).
tff(func_def_145,type,
collec925828570l_bool: fun_fu2056529149l_bool ).
tff(func_def_146,type,
image_pname_pname: fun_pname_pname > fun_fu410713561e_bool ).
tff(func_def_147,type,
image_1283223414_state: fun_pn664418900_state > fun_fu1176632176e_bool ).
tff(func_def_148,type,
image_47868345e_bool: fun_pn800050071e_bool > fun_fu802393907l_bool ).
tff(func_def_149,type,
image_1165561978e_bool: fun_pn760644914e_bool > fun_fu514526030l_bool ).
tff(func_def_150,type,
image_720060442_pname: fun_Ho1653816318_pname > fun_fu1040518284e_bool ).
tff(func_def_151,type,
image_436941729_state: fun_Ho1455141843_state > fun_fu1296727421e_bool ).
tff(func_def_152,type,
image_412748388e_bool: fun_Ho14659478e_bool > fun_fu1962076352l_bool ).
tff(func_def_153,type,
image_896278159e_bool: fun_Ho1695028467e_bool > fun_fu1173762305l_bool ).
tff(func_def_154,type,
image_1283814551_pname: fun_fu1499449723_pname > fun_fu608906319e_bool ).
tff(func_def_155,type,
image_1943894628_state: fun_fu1604182422_state > fun_fu1333785210e_bool ).
tff(func_def_156,type,
image_2063528359e_bool: fun_fu410713561e_bool > fun_fu2087345469l_bool ).
tff(func_def_157,type,
image_1169820240_pname: fun_fu235184776_pname > fun_fu2122198606e_bool ).
tff(func_def_158,type,
image_1669234411_state: fun_fu385705929_state > fun_fu1163781179e_bool ).
tff(func_def_159,type,
image_1852024517e_bool: fun_fu1296727421e_bool > fun_fu663891139l_bool ).
tff(func_def_160,type,
insert_com: fun_co2038576728m_bool ).
tff(func_def_161,type,
insert_pname: fun_pn479984722e_bool ).
tff(func_def_162,type,
insert694999549_state: fun_Ho1110608055e_bool ).
tff(func_def_163,type,
insert1325755072e_bool: fun_fu1232732404l_bool ).
tff(func_def_164,type,
insert504309043e_bool: fun_fu2107095047l_bool ).
tff(func_def_165,type,
the_elem_pname: fun_fu1499449723_pname ).
tff(func_def_166,type,
the_el1031305112_state: fun_fu385705929_state ).
tff(func_def_167,type,
fAll_state: fun_fu93307442l_bool ).
tff(func_def_168,type,
fFalse: bool ).
tff(func_def_169,type,
fNot: fun_bool_bool ).
tff(func_def_170,type,
fTrue: bool ).
tff(func_def_171,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_172,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_173,type,
fequal_pname: fun_pn800050071e_bool ).
tff(func_def_174,type,
fequal_state: fun_st1506752259e_bool ).
tff(func_def_175,type,
fequal391417144_state: fun_Ho1695028467e_bool ).
tff(func_def_176,type,
fequal533582459e_bool: fun_fu802393907l_bool ).
tff(func_def_177,type,
fequal259518520e_bool: fun_fu1173762305l_bool ).
tff(func_def_178,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_179,type,
hAPP_com_bool: ( fun_com_bool * com ) > bool ).
tff(func_def_180,type,
hAPP_c406083500_state: ( fun_co2032091866_state * com ) > hoare_1875481847_state ).
tff(func_def_181,type,
hAPP_c667411853l_bool: ( fun_co1633267573l_bool * com ) > fun_fu1362071682l_bool ).
tff(func_def_182,type,
hAPP_c566651504m_bool: ( fun_co2038576728m_bool * com ) > fun_fu241528037m_bool ).
tff(func_def_183,type,
hAPP_c681126378_state: ( fun_co879055186_state * com ) > fun_fu827928799_state ).
tff(func_def_184,type,
hAPP_pname_com: ( fun_pname_com * pname ) > com ).
tff(func_def_185,type,
hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).
tff(func_def_186,type,
hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).
tff(func_def_187,type,
hAPP_p702226982_state: ( fun_pn664418900_state * pname ) > hoare_1875481847_state ).
tff(func_def_188,type,
hAPP_p799580910on_com: ( fun_pname_option_com * pname ) > option_com ).
tff(func_def_189,type,
hAPP_p2012996835_state: ( fun_pn92346699_state * pname ) > fun_co879055186_state ).
tff(func_def_190,type,
hAPP_p1170154830_pname: ( fun_pn1208287926_pname * pname ) > fun_pname_pname ).
tff(func_def_191,type,
hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).
tff(func_def_192,type,
hAPP_p1637813682e_bool: ( fun_pn12888928e_bool * pname ) > fun_st1506752259e_bool ).
tff(func_def_193,type,
hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).
tff(func_def_194,type,
hAPP_p1537966538e_bool: ( fun_pn760644914e_bool * pname ) > fun_Ho1996104121e_bool ).
tff(func_def_195,type,
hAPP_p1279250276_state: ( fun_pn1776597836_state * pname ) > fun_Ho1455141843_state ).
tff(func_def_196,type,
hAPP_p1513527868_state: ( fun_pn1243268074_state * pname ) > fun_Ho784854669_state ).
tff(func_def_197,type,
hAPP_p1086945780on_com: ( fun_pn1580610524on_com * pname ) > fun_op606842979on_com ).
tff(func_def_198,type,
hAPP_p1164893188on_com: ( fun_pn1673019570on_com * pname ) > fun_op564655445on_com ).
tff(func_def_199,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(func_def_200,type,
hAPP_p905327722e_bool: ( fun_pn479984722e_bool * pname ) > fun_fu410713561e_bool ).
tff(func_def_201,type,
hAPP_p1985340144_state: ( fun_pn1610849624_state * pname ) > fun_fu827928799_state ).
tff(func_def_202,type,
hAPP_p1265998686l_bool: ( fun_pn249986828l_bool * pname ) > fun_fu689207471l_bool ).
tff(func_def_203,type,
hAPP_state_bool: ( fun_state_bool * state ) > bool ).
tff(func_def_204,type,
hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).
tff(func_def_205,type,
hAPP_s336103912e_bool: ( fun_st858662806e_bool * state ) > fun_st1506752259e_bool ).
tff(func_def_206,type,
hAPP_s2001034685l_bool: ( fun_st2116860965l_bool * state ) > fun_st2063251938l_bool ).
tff(func_def_207,type,
hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).
tff(func_def_208,type,
hAPP_s1874344717e_bool: ( fun_st1483075957e_bool * state ) > fun_bo1936561970e_bool ).
tff(func_def_209,type,
hAPP_s1226857760e_bool: ( fun_st277393160e_bool * state ) > fun_fu373216837e_bool ).
tff(func_def_210,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_211,type,
hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).
tff(func_def_212,type,
hAPP_b1095269219e_bool: ( fun_bo898473669e_bool * bool ) > fun_st1506752259e_bool ).
tff(func_def_213,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_214,type,
hAPP_b1347637997_state: ( fun_bo840793679_state * bool ) > fun_Ho784854669_state ).
tff(func_def_215,type,
hAPP_b1679505845on_com: ( fun_bo79750167on_com * bool ) > fun_op564655445on_com ).
tff(func_def_216,type,
hAPP_H139064010_pname: ( fun_Ho1653816318_pname * hoare_1875481847_state ) > pname ).
tff(func_def_217,type,
hAPP_H1173941847e_bool: ( fun_Ho1996104121e_bool * hoare_1875481847_state ) > bool ).
tff(func_def_218,type,
hAPP_H350317809_state: ( fun_Ho1455141843_state * hoare_1875481847_state ) > hoare_1875481847_state ).
tff(func_def_219,type,
hAPP_H785152948e_bool: ( fun_Ho14659478e_bool * hoare_1875481847_state ) > fun_pname_bool ).
tff(func_def_220,type,
hAPP_H377399461l_bool: ( fun_Ho1896286681l_bool * hoare_1875481847_state ) > fun_bool_bool ).
tff(func_def_221,type,
hAPP_H117293375e_bool: ( fun_Ho1695028467e_bool * hoare_1875481847_state ) > fun_Ho1996104121e_bool ).
tff(func_def_222,type,
hAPP_H743221337_state: ( fun_Ho784854669_state * hoare_1875481847_state ) > fun_Ho1455141843_state ).
tff(func_def_223,type,
hAPP_H434980226l_bool: ( fun_Ho760178998l_bool * hoare_1875481847_state ) > fun_fu1430349052l_bool ).
tff(func_def_224,type,
hAPP_H810811817l_bool: ( fun_Ho1085560331l_bool * hoare_1875481847_state ) > fun_fu689207471l_bool ).
tff(func_def_225,type,
hAPP_H1625489667e_bool: ( fun_Ho1110608055e_bool * hoare_1875481847_state ) > fun_fu1296727421e_bool ).
tff(func_def_226,type,
hAPP_option_com_com: ( fun_option_com_com * option_com ) > com ).
tff(func_def_227,type,
hAPP_o356497025on_com: ( fun_op606842979on_com * option_com ) > option_com ).
tff(func_def_228,type,
hAPP_o334540577on_com: ( fun_op564655445on_com * option_com ) > fun_op606842979on_com ).
tff(func_def_229,type,
hAPP_f990396704l_bool: ( fun_fu1362071682l_bool * fun_com_bool ) > bool ).
tff(func_def_230,type,
hAPP_f1682609283m_bool: ( fun_fu241528037m_bool * fun_com_bool ) > fun_com_bool ).
tff(func_def_231,type,
hAPP_f2031411714_state: ( fun_fu973320112_state * fun_pname_com ) > fun_pn664418900_state ).
tff(func_def_232,type,
hAPP_f2116202538_state: ( fun_fu642263570_state * fun_pname_com ) > fun_pn1610849624_state ).
tff(func_def_233,type,
hAPP_f1336811455e_bool: ( fun_fu264874349e_bool * fun_pname_pname ) > fun_pn800050071e_bool ).
tff(func_def_234,type,
hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).
tff(func_def_235,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(func_def_236,type,
hAPP_f168815540_state: ( fun_fu1604182422_state * fun_pname_bool ) > hoare_1875481847_state ).
tff(func_def_237,type,
hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_238,type,
hAPP_f180827860e_bool: ( fun_fu1286003254e_bool * fun_pname_bool ) > fun_pn800050071e_bool ).
tff(func_def_239,type,
hAPP_f1402196763l_bool: ( fun_fu152205775l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).
tff(func_def_240,type,
hAPP_f980169511_state: ( fun_fu2016078089_state * fun_pname_bool ) > fun_pn1243268074_state ).
tff(func_def_241,type,
hAPP_f755519727on_com: ( fun_fu637830609on_com * fun_pname_bool ) > fun_pn1673019570on_com ).
tff(func_def_242,type,
hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).
tff(func_def_243,type,
hAPP_f1291720380e_bool: ( fun_fu1176632176e_bool * fun_pname_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_244,type,
hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_245,type,
hAPP_f1388330588e_bool: ( fun_fu2101097872e_bool * fun_pname_bool ) > fun_fu410713561e_bool ).
tff(func_def_246,type,
hAPP_f1522632684l_bool: ( fun_fu514526030l_bool * fun_pname_bool ) > fun_fu689207471l_bool ).
tff(func_def_247,type,
hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(func_def_248,type,
hAPP_f1320879424l_bool: ( fun_fu1232732404l_bool * fun_pname_bool ) > fun_fu2087345469l_bool ).
tff(func_def_249,type,
hAPP_f1981552043_state: ( fun_fu1904437005_state * fun_pn664418900_state ) > fun_pn664418900_state ).
tff(func_def_250,type,
hAPP_f1601283355e_bool: ( fun_fu557884239e_bool * fun_pn664418900_state ) > fun_pn760644914e_bool ).
tff(func_def_251,type,
hAPP_f1087244981_state: ( fun_fu1869380457_state * fun_pn664418900_state ) > fun_pn1776597836_state ).
tff(func_def_252,type,
hAPP_f96342628me_com: ( fun_fu1742234008me_com * fun_pname_option_com ) > fun_pname_com ).
tff(func_def_253,type,
hAPP_f2123220539on_com: ( fun_fu311741085on_com * fun_pname_option_com ) > fun_pname_option_com ).
tff(func_def_254,type,
hAPP_f648377725on_com: ( fun_fu544728625on_com * fun_pname_option_com ) > fun_pn1580610524on_com ).
tff(func_def_255,type,
hAPP_f1339343196_state: ( fun_fu993978052_state * fun_pn92346699_state ) > fun_fu642263570_state ).
tff(func_def_256,type,
hAPP_f42430548e_bool: ( fun_fu25451830e_bool * fun_pn800050071e_bool ) > fun_pname_bool ).
tff(func_def_257,type,
hAPP_f22061361e_bool: ( fun_fu577621651e_bool * fun_pn800050071e_bool ) > fun_pn800050071e_bool ).
tff(func_def_258,type,
hAPP_f567934427l_bool: ( fun_fu1779604751l_bool * fun_pn800050071e_bool ) > fun_pn422929397l_bool ).
tff(func_def_259,type,
hAPP_f1568887991_state: ( fun_fu2087509785_state * fun_pn12888928e_bool ) > fun_pn664418900_state ).
tff(func_def_260,type,
hAPP_f275933352_state: ( fun_fu2096203996_state * fun_pn12888928e_bool ) > fun_pn92346699_state ).
tff(func_def_261,type,
hAPP_f649174806e_bool: ( fun_fu1576495102e_bool * fun_pn250273176l_bool ) > fun_fu410713561e_bool ).
tff(func_def_262,type,
hAPP_f98146217l_bool: ( fun_fu2056752087l_bool * fun_pn760644914e_bool ) > fun_pn249986828l_bool ).
tff(func_def_263,type,
hAPP_f1564627769e_bool: ( fun_fu1045989665e_bool * fun_pn760644914e_bool ) > fun_Ho14659478e_bool ).
tff(func_def_264,type,
hAPP_f1875279510_state: ( fun_fu1646366334_state * fun_pn1776597836_state ) > fun_fu1904437005_state ).
tff(func_def_265,type,
hAPP_f294490838_state: ( fun_fu1848601144_state * fun_pn1243268074_state ) > fun_fu1869380457_state ).
tff(func_def_266,type,
hAPP_f1673966486on_com: ( fun_fu1908735358on_com * fun_pn1580610524on_com ) > fun_fu311741085on_com ).
tff(func_def_267,type,
hAPP_f2093196134on_com: ( fun_fu1867668424on_com * fun_pn1673019570on_com ) > fun_fu544728625on_com ).
tff(func_def_268,type,
hAPP_f661147897e_bool: ( fun_fu696558561e_bool * fun_pn422929397l_bool ) > fun_fu410713561e_bool ).
tff(func_def_269,type,
hAPP_f698292281e_bool: ( fun_fu1018334113e_bool * fun_pn479984722e_bool ) > fun_fu1286003254e_bool ).
tff(func_def_270,type,
hAPP_f891245078_state: ( fun_fu1956604286_state * fun_pn1610849624_state ) > fun_fu2087509785_state ).
tff(func_def_271,type,
hAPP_f1967984667e_bool: ( fun_fu1543647229e_bool * fun_pn249986828l_bool ) > fun_fu1040518284e_bool ).
tff(func_def_272,type,
hAPP_f327114704l_bool: ( fun_fu93307442l_bool * fun_state_bool ) > bool ).
tff(func_def_273,type,
hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).
tff(func_def_274,type,
hAPP_f1863945078e_bool: ( fun_fu1998731480e_bool * fun_state_bool ) > fun_st1506752259e_bool ).
tff(func_def_275,type,
hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).
tff(func_def_276,type,
hAPP_f1595846909_state: ( fun_fu827928799_state * fun_st1506752259e_bool ) > hoare_1875481847_state ).
tff(func_def_277,type,
hAPP_f1930074316_state: ( fun_fu404278912_state * fun_st1506752259e_bool ) > fun_co879055186_state ).
tff(func_def_278,type,
hAPP_f1012183542e_bool: ( fun_fu2104550360e_bool * fun_st1506752259e_bool ) > fun_state_bool ).
tff(func_def_279,type,
hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).
tff(func_def_280,type,
hAPP_f249262236e_bool: ( fun_fu475229566e_bool * fun_st1506752259e_bool ) > fun_st858662806e_bool ).
tff(func_def_281,type,
hAPP_f1283379615l_bool: ( fun_fu1982748883l_bool * fun_st1506752259e_bool ) > fun_st2116860965l_bool ).
tff(func_def_282,type,
hAPP_f1935169308e_bool: ( fun_fu1867913342e_bool * fun_st858662806e_bool ) > fun_st1506752259e_bool ).
tff(func_def_283,type,
hAPP_f873506917e_bool: ( fun_fu1454697805e_bool * fun_st2116860965l_bool ) > fun_st1483075957e_bool ).
tff(func_def_284,type,
hAPP_f1138284024e_bool: ( fun_fu1088452192e_bool * fun_st2116860965l_bool ) > fun_st277393160e_bool ).
tff(func_def_285,type,
hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).
tff(func_def_286,type,
hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).
tff(func_def_287,type,
hAPP_f701449317e_bool: ( fun_fu13754701e_bool * fun_st1483075957e_bool ) > fun_bo898473669e_bool ).
tff(func_def_288,type,
hAPP_f915354021e_bool: ( fun_fu1436120077e_bool * fun_st277393160e_bool ) > fun_fu1998731480e_bool ).
tff(func_def_289,type,
hAPP_f190028117e_bool: ( fun_fu2020320649e_bool * fun_Ho1653816318_pname ) > fun_Ho14659478e_bool ).
tff(func_def_290,type,
hAPP_f1542224800_pname: ( fun_fu235184776_pname * fun_Ho1996104121e_bool ) > pname ).
tff(func_def_291,type,
hAPP_f1408815105l_bool: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > bool ).
tff(func_def_292,type,
hAPP_f890249627_state: ( fun_fu385705929_state * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).
tff(func_def_293,type,
hAPP_f1148778334e_bool: ( fun_fu1040518284e_bool * fun_Ho1996104121e_bool ) > fun_pname_bool ).
tff(func_def_294,type,
hAPP_f78029435l_bool: ( fun_fu854396771l_bool * fun_Ho1996104121e_bool ) > fun_bool_bool ).
tff(func_def_295,type,
hAPP_f121055253e_bool: ( fun_fu1296727421e_bool * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_296,type,
hAPP_f932622461l_bool: ( fun_fu811519275l_bool * fun_Ho1996104121e_bool ) > fun_Ho1896286681l_bool ).
tff(func_def_297,type,
hAPP_f56162711e_bool: ( fun_fu775812037e_bool * fun_Ho1996104121e_bool ) > fun_Ho1695028467e_bool ).
tff(func_def_298,type,
hAPP_f1628972376l_bool: ( fun_fu1962076352l_bool * fun_Ho1996104121e_bool ) > fun_fu1430349052l_bool ).
tff(func_def_299,type,
hAPP_f1873026899l_bool: ( fun_fu1173762305l_bool * fun_Ho1996104121e_bool ) > fun_fu689207471l_bool ).
tff(func_def_300,type,
hAPP_f1204759513e_bool: ( fun_fu947547457e_bool * fun_Ho1996104121e_bool ) > fun_fu1296727421e_bool ).
tff(func_def_301,type,
hAPP_f640685261l_bool: ( fun_fu2083718837l_bool * fun_Ho1996104121e_bool ) > fun_fu237807729l_bool ).
tff(func_def_302,type,
hAPP_f872497439l_bool: ( fun_fu2107095047l_bool * fun_Ho1996104121e_bool ) > fun_fu663891139l_bool ).
tff(func_def_303,type,
hAPP_f474907569e_bool: ( fun_fu1653236447e_bool * fun_Ho1455141843_state ) > fun_Ho1695028467e_bool ).
tff(func_def_304,type,
hAPP_f1188413809e_bool: ( fun_fu2091051353e_bool * fun_Ho14659478e_bool ) > fun_pn760644914e_bool ).
tff(func_def_305,type,
hAPP_f745653815l_bool: ( fun_fu1007240549l_bool * fun_Ho14659478e_bool ) > fun_Ho760178998l_bool ).
tff(func_def_306,type,
hAPP_f1300953505e_bool: ( fun_fu1856979029e_bool * fun_Ho1896286681l_bool ) > fun_fu1296727421e_bool ).
tff(func_def_307,type,
hAPP_f169892419e_bool: ( fun_fu572183031e_bool * fun_Ho1695028467e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_308,type,
hAPP_f2101312745e_bool: ( fun_fu302189515e_bool * fun_Ho1695028467e_bool ) > fun_Ho1695028467e_bool ).
tff(func_def_309,type,
hAPP_f2059405973l_bool: ( fun_fu601378633l_bool * fun_Ho1695028467e_bool ) > fun_Ho1085560331l_bool ).
tff(func_def_310,type,
hAPP_f406856233e_bool: ( fun_fu1403260939e_bool * fun_Ho760178998l_bool ) > fun_fu1176632176e_bool ).
tff(func_def_311,type,
hAPP_f1795624711e_bool: ( fun_fu1067265135e_bool * fun_Ho1085560331l_bool ) > fun_fu1296727421e_bool ).
tff(func_def_312,type,
hAPP_f392546175e_bool: ( fun_fu349737825e_bool * fun_Ho1110608055e_bool ) > fun_fu775812037e_bool ).
tff(func_def_313,type,
hAPP_f1385420507e_bool: ( fun_fu265667599e_bool * fun_fu1499449723_pname ) > fun_fu410713561e_bool ).
tff(func_def_314,type,
hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).
tff(func_def_315,type,
hAPP_f674760225e_bool: ( fun_fu608906319e_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_316,type,
hAPP_f1440968210e_bool: ( fun_fu1333785210e_bool * fun_fu1430349052l_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_317,type,
hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_318,type,
hAPP_f143162813l_bool: ( fun_fu1747008875l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).
tff(func_def_319,type,
hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).
tff(func_def_320,type,
hAPP_f230953622l_bool: ( fun_fu1759027710l_bool * fun_fu1430349052l_bool ) > fun_fu2087345469l_bool ).
tff(func_def_321,type,
hAPP_f1703905905e_bool: ( fun_fu764251295e_bool * fun_fu1604182422_state ) > fun_fu1176632176e_bool ).
tff(func_def_322,type,
hAPP_f2082757169l_bool: ( fun_fu154623769l_bool * fun_fu410713561e_bool ) > fun_pn422929397l_bool ).
tff(func_def_323,type,
hAPP_f624840228l_bool: ( fun_fu502368472l_bool * fun_fu31783638l_bool ) > fun_fu2087345469l_bool ).
tff(func_def_324,type,
hAPP_f492176169l_bool: ( fun_fu542338571l_bool * fun_fu1176632176e_bool ) > fun_Ho760178998l_bool ).
tff(func_def_325,type,
hAPP_f1297925993l_bool: ( fun_fu1901728075l_bool * fun_fu802393907l_bool ) > fun_fu802393907l_bool ).
tff(func_def_326,type,
hAPP_f1145991873l_bool: ( fun_fu445680937l_bool * fun_fu931343505l_bool ) > fun_fu2087345469l_bool ).
tff(func_def_327,type,
hAPP_f585615743e_bool: ( fun_fu372702637e_bool * fun_fu235184776_pname ) > fun_fu1040518284e_bool ).
tff(func_def_328,type,
hAPP_f1699935247l_bool: ( fun_fu237807729l_bool * fun_fu689207471l_bool ) > bool ).
tff(func_def_329,type,
hAPP_f75069804e_bool: ( fun_fu2122198606e_bool * fun_fu689207471l_bool ) > fun_pname_bool ).
tff(func_def_330,type,
hAPP_f962122119e_bool: ( fun_fu1163781179e_bool * fun_fu689207471l_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_331,type,
hAPP_f900945761l_bool: ( fun_fu663891139l_bool * fun_fu689207471l_bool ) > fun_fu689207471l_bool ).
tff(func_def_332,type,
hAPP_f440042033l_bool: ( fun_fu2072024677l_bool * fun_fu689207471l_bool ) > fun_fu854396771l_bool ).
tff(func_def_333,type,
hAPP_f1970936639l_bool: ( fun_fu90736755l_bool * fun_fu689207471l_bool ) > fun_fu237807729l_bool ).
tff(func_def_334,type,
hAPP_f19215249l_bool: ( fun_fu1415736773l_bool * fun_fu689207471l_bool ) > fun_fu663891139l_bool ).
tff(func_def_335,type,
hAPP_f1185879473e_bool: ( fun_fu1900462437e_bool * fun_fu385705929_state ) > fun_fu1296727421e_bool ).
tff(func_def_336,type,
hAPP_f662360091l_bool: ( fun_fu262057981l_bool * fun_fu1040518284e_bool ) > fun_pn249986828l_bool ).
tff(func_def_337,type,
hAPP_f2051813877l_bool: ( fun_fu1370073565l_bool * fun_fu854396771l_bool ) > fun_fu663891139l_bool ).
tff(func_def_338,type,
hAPP_f309954467l_bool: ( fun_fu1703951883l_bool * fun_fu1296727421e_bool ) > fun_Ho1085560331l_bool ).
tff(func_def_339,type,
hAPP_f2051277573l_bool: ( fun_fu1923372391l_bool * fun_fu1173762305l_bool ) > fun_fu1173762305l_bool ).
tff(func_def_340,type,
hAPP_f1846363427l_bool: ( fun_fu1805752587l_bool * fun_fu2083718837l_bool ) > fun_fu663891139l_bool ).
tff(func_def_341,type,
hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).
tff(func_def_342,type,
hAPP_f783502055l_bool: ( fun_fu1610316873l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).
tff(func_def_343,type,
hAPP_f1879335953l_bool: ( fun_fu1787620979l_bool * fun_fu1911931399l_bool ) > fun_fu1911931399l_bool ).
tff(func_def_344,type,
hAPP_f755416249l_bool: ( fun_fu1086366823l_bool * fun_fu237807729l_bool ) > bool ).
tff(func_def_345,type,
hAPP_f57684501l_bool: ( fun_fu2056529149l_bool * fun_fu237807729l_bool ) > fun_fu237807729l_bool ).
tff(func_def_346,type,
hAPP_f1475014121l_bool: ( fun_fu544723403l_bool * fun_fu90736755l_bool ) > fun_fu90736755l_bool ).
tff(func_def_347,type,
member_com: fun_co1633267573l_bool ).
tff(func_def_348,type,
member_pname: fun_pn422929397l_bool ).
tff(func_def_349,type,
member618553700_state: fun_Ho1085560331l_bool ).
tff(func_def_350,type,
member799430823e_bool: fun_fu931343505l_bool ).
tff(func_def_351,type,
member1062536460e_bool: fun_fu2083718837l_bool ).
tff(func_def_352,type,
fa: fun_Ho1996104121e_bool ).
tff(func_def_353,type,
pn: pname ).
tff(func_def_354,type,
y: com ).
tff(func_def_355,type,
sK0: state ).
tff(func_def_356,type,
sK1: state ).
tff(func_def_357,type,
sK2: state > state ).
tff(func_def_358,type,
sK3: fun_Ho1996104121e_bool > pname ).
tff(func_def_359,type,
sK4: fun_fu689207471l_bool > hoare_1875481847_state ).
tff(func_def_360,type,
sK5: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).
tff(func_def_361,type,
sK6: fun_fu689207471l_bool > hoare_1875481847_state ).
tff(func_def_362,type,
sK7: fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).
tff(func_def_363,type,
sK8: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_364,type,
sK9: fun_fu689207471l_bool > hoare_1875481847_state ).
tff(func_def_365,type,
sK10: fun_fu689207471l_bool > fun_Ho1996104121e_bool ).
tff(func_def_366,type,
sK11: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).
tff(func_def_367,type,
sK12: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_368,type,
sK13: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_369,type,
sK14: ( hoare_1875481847_state * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_370,type,
sK15: ( hoare_1875481847_state * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).
tff(func_def_371,type,
sK16: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_372,type,
sK17: fun_Ho1996104121e_bool > fun_Ho1996104121e_bool ).
tff(func_def_373,type,
sK18: ( fun_Ho1996104121e_bool * fun_Ho1996104121e_bool ) > hoare_1875481847_state ).
tff(func_def_374,type,
sK19: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_375,type,
sK20: fun_Ho1996104121e_bool > hoare_1875481847_state ).
tff(func_def_376,type,
sK21: ( pname * fun_pname_option_com ) > com ).
tff(func_def_377,type,
sK22: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).
tff(func_def_378,type,
sK23: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).
tff(func_def_379,type,
sK24: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).
tff(func_def_380,type,
sK25: fun_fu1296727421e_bool > fun_Ho1996104121e_bool ).
tff(func_def_381,type,
sK26: ( fun_pn664418900_state * fun_pname_bool * fun_Ho1996104121e_bool ) > fun_pname_bool ).
tff(func_def_382,type,
sK27: ( fun_Ho1996104121e_bool * fun_pn664418900_state * fun_pname_bool ) > fun_pname_bool ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP28: state > $o ).
tff(pred_def_3,type,
sP29: fun_Ho1996104121e_bool > $o ).
tff(pred_def_4,type,
sP30: fun_Ho1996104121e_bool > $o ).
tff(pred_def_5,type,
sP31: fun_Ho1996104121e_bool > $o ).
tff(pred_def_6,type,
sP32: fun_Ho1996104121e_bool > $o ).
tff(pred_def_7,type,
sP33: fun_Ho1996104121e_bool > $o ).
tff(pred_def_8,type,
sP34: fun_Ho1996104121e_bool > $o ).
tff(pred_def_9,type,
sP35: fun_pname_bool > $o ).
tff(pred_def_10,type,
sP36: fun_Ho1996104121e_bool > $o ).
tff(pred_def_11,type,
sP37: fun_pname_bool > $o ).
tff(pred_def_12,type,
sP38: fun_Ho1996104121e_bool > $o ).
tff(pred_def_13,type,
sP39: fun_Ho1996104121e_bool > $o ).
tff(pred_def_14,type,
sP40: fun_Ho1996104121e_bool > $o ).
tff(pred_def_15,type,
sP41: fun_Ho1996104121e_bool > $o ).
tff(pred_def_16,type,
sP42: fun_Ho1996104121e_bool > $o ).
tff(f1,axiom,
! [X0: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),bot_bo1715400655e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
tff(f5,axiom,
! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2))
=> ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
=> hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
tff(f54,axiom,
! [X0: com] :
( hBOOL(hoare_1239590103gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X0))
=> hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_MGF) ).
tff(f216,axiom,
! [X0: pname,X1: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,X0) = some_com(X1) )
=> hBOOL(hAPP_com_bool(wt,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).
tff(f807,axiom,
hBOOL(hoare_1239590103gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f808,axiom,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f812,axiom,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
tff(f814,conjecture,
hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
tff(f815,negated_conjecture,
~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
inference(negated_conjecture,[status(cth)],[f814]) ).
tff(f816,plain,
~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
inference(flattening,[],[f815]) ).
tff(f821,plain,
! [X0: pname,X1: com] :
( hBOOL(hAPP_com_bool(wt,X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wT_bodies) ),
inference(ennf_transformation,[],[f216]) ).
tff(f822,plain,
! [X0: pname,X1: com] :
( hBOOL(hAPP_com_bool(wt,X1))
| ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| ~ hBOOL(wT_bodies) ),
inference(flattening,[],[f821]) ).
tff(f823,plain,
! [X0: com] :
( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1239590103gleton) ),
inference(ennf_transformation,[],[f54]) ).
tff(f824,plain,
! [X0: com] :
( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1239590103gleton) ),
inference(flattening,[],[f823]) ).
tff(f909,plain,
! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
| ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
| ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
inference(ennf_transformation,[],[f5]) ).
tff(f910,plain,
! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
| ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
| ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
inference(flattening,[],[f909]) ).
tff(f979,plain,
hBOOL(hoare_1239590103gleton),
inference(cnf_transformation,[],[f807]) ).
tff(f980,plain,
hBOOL(wT_bodies),
inference(cnf_transformation,[],[f808]) ).
tff(f984,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(cnf_transformation,[],[f812]) ).
tff(f986,plain,
~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
inference(cnf_transformation,[],[f816]) ).
tff(f992,plain,
! [X0: pname,X1: com] :
( ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
| hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies) ),
inference(cnf_transformation,[],[f822]) ).
tff(f993,plain,
! [X0: com] :
( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1239590103gleton) ),
inference(cnf_transformation,[],[f824]) ).
tff(f1129,plain,
! [X2: fun_Ho1996104121e_bool,X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2))
| ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
| hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2)) ),
inference(cnf_transformation,[],[f910]) ).
tff(f1133,plain,
! [X0: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),bot_bo1715400655e_bool)),
inference(cnf_transformation,[],[f1]) ).
tff(f1228,definition,
( spl43_2
<=> hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))) ),
introduced(definition,[new_symbols(definition,[spl43_2])],[avatar_definition]) ).
tff(f1229,plain,
( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool)))
| ~ spl43_2 ),
inference(avatar_component_clause,[],[f1228]) ).
tff(f1230,plain,
( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool)))
| spl43_2 ),
inference(avatar_component_clause,[],[f1228]) ).
tff(f1243,definition,
( spl43_5
<=> hBOOL(hAPP_com_bool(wt,y)) ),
introduced(definition,[new_symbols(definition,[spl43_5])],[avatar_definition]) ).
tff(f1244,plain,
( hBOOL(hAPP_com_bool(wt,y))
| ~ spl43_5 ),
inference(avatar_component_clause,[],[f1243]) ).
tff(f1245,plain,
( ~ hBOOL(hAPP_com_bool(wt,y))
| spl43_5 ),
inference(avatar_component_clause,[],[f1243]) ).
tff(f1248,plain,
( ~ hBOOL(hAPP_com_bool(wt,y))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1239590103gleton)
| spl43_2 ),
inference(resolution,[],[f1230,f993]) ).
tff(f1257,plain,
! [X0: pname] :
( ( hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn) )
| hBOOL(hAPP_com_bool(wt,y))
| ~ hBOOL(wT_bodies) ),
inference(superposition,[],[f992,f984]) ).
tff(f1258,plain,
( ! [X0: pname] :
( ( hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn) )
| ~ hBOOL(wT_bodies) )
| spl43_5 ),
inference(forward_subsumption_resolution,[],[f1257,f1245]) ).
tff(f1259,plain,
( ! [X0: pname] : ( hAPP_p799580910on_com(body,X0) != hAPP_p799580910on_com(body,pn) )
| spl43_5 ),
inference(forward_subsumption_resolution,[],[f1258,f980]) ).
tff(f1262,plain,
( $false
| spl43_5 ),
inference(equality_resolution,[],[f1259]) ).
tff(f1263,plain,
spl43_5,
inference(avatar_contradiction_clause,[],[f1262]) ).
tff(f1273,plain,
( ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1239590103gleton)
| spl43_2
| ~ spl43_5 ),
inference(forward_subsumption_resolution,[],[f1248,f1244]) ).
tff(f1275,plain,
( ~ hBOOL(hoare_1239590103gleton)
| spl43_2
| ~ spl43_5 ),
inference(forward_subsumption_resolution,[],[f1273,f980]) ).
tff(f1276,plain,
( $false
| spl43_2
| ~ spl43_5 ),
inference(forward_subsumption_resolution,[],[f1275,f979]) ).
tff(f1277,plain,
( spl43_2
| ~ spl43_5 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
tff(f1331,plain,
( ! [X0: fun_Ho1996104121e_bool] :
( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),bot_bo1715400655e_bool))
| hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))) )
| ~ spl43_2 ),
inference(resolution,[],[f1229,f1129]) ).
tff(f1333,plain,
( ! [X0: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool)))
| ~ spl43_2 ),
inference(forward_subsumption_resolution,[],[f1331,f1133]) ).
tff(f1337,plain,
( $false
| ~ spl43_2 ),
inference(resolution,[],[f1333,f986]) ).
tff(f1340,plain,
~ spl43_2,
inference(avatar_contradiction_clause,[],[f1337]) ).
cnf(s4,plain,
spl43_5,
inference(sat_conversion,[],[f1263]) ).
cnf(s6,plain,
( spl43_2
| ~ spl43_5 ),
inference(sat_conversion,[],[f1277]) ).
cnf(s13,plain,
~ spl43_2,
inference(sat_conversion,[],[f1340]) ).
cnf(s14,plain,
~ spl43_5,
inference(rat,[],[s6,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s4,s14]) ).
tff(f1341,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n014.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:08:15 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.30/1.19 % (1788969)Detected formulas, will run a generic FOF schedule.
% 3.30/1.19 % (1789085)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=944442046:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.30/1.19 % (1789088)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3985212221:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.30/1.19 % (1789084)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2934340551:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.30/1.19 % (1789086)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1533313002:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.30/1.19 % (1789090)dis-21_1_sil=8000:lcm=predicate:random_seed=1975755403:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.30/1.19 % (1789089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2033479113:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.30/1.19 % (1789087)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1450145510:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.30/1.19 % (1789087)First to succeed.
% 3.30/1.19 % (1789087)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1788969"
% 3.30/1.19 % (1789089)Also succeeded, but the first one will report.
% 3.30/1.19 % (1789090)Instruction limit reached!
% 3.30/1.19 % (1789090)------------------------------
% 3.30/1.19 % (1789090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.19 % (1789090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.19 % (1789090)CaDiCaL version: 2.1.3
% 3.30/1.19 % (1789090)Termination reason: Instruction limit
% 3.30/1.19 % (1789090)Termination phase: Saturation
% 3.30/1.19 % (1789090)Time elapsed: 0.066 s
% 3.30/1.19 % (1789090)Peak memory usage: 90 MB
% 3.30/1.19 % (1789090)Instructions burned: 129 (million)
% 3.30/1.19 % (1789088)Instruction limit reached!
% 3.30/1.19 % (1789088)------------------------------
% 3.30/1.19 % (1789088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.19 % (1789088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.19 % (1789088)CaDiCaL version: 2.1.3
% 3.30/1.19 % (1789088)Termination reason: Instruction limit
% 3.30/1.19 % (1789088)Termination phase: Saturation
% 3.30/1.19 % (1789088)Time elapsed: 0.070 s
% 3.30/1.19 % (1789088)Peak memory usage: 89 MB
% 3.30/1.19 % (1789088)Instructions burned: 120 (million)
% 3.30/1.19 % (1789098)lrs+10_1_sil=8000:sp=occurrence:random_seed=587219429:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.30/1.19 % (1789099)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1438905985:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.30/1.19 % (1789087)Refutation found. Thanks to Tanya!
% 3.30/1.19 % SZS status Theorem for theBenchmark
% 3.30/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.39 % (1789087)------------------------------
% 3.88/1.39 % (1789087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.39 % (1789087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.39 % (1789087)CaDiCaL version: 2.1.3
% 3.88/1.39 % (1789087)Termination reason: Refutation
% 3.88/1.39 % (1789087)Time elapsed: 0.021 s
% 3.88/1.39 % (1789087)Peak memory usage: 90 MB
% 3.88/1.39 % (1789087)Instructions burned: 32 (million)
% 3.88/1.39 % (1789087)------------------------------
% 3.88/1.39 % (1789087)------------------------------
% 3.88/1.39 % (1788969)Success in time 0.517 s
% 3.88/1.39 % Vampire exiting
%------------------------------------------------------------------------------