TSTP Solution File: SWW470_1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW470_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:07:20 EDT 2023
% Result : Theorem 39.89s 23.79s
% Output : CNFRefutation 39.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 197
% Syntax : Number of formulae : 243 ( 34 unt; 183 typ; 0 def)
% Number of atoms : 95 ( 38 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 54 ( 19 ~; 24 |; 2 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 46 ( 45 usr)
% Number of type conns : 244 ( 108 >; 136 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 137 ( 137 usr; 30 con; 0-6 aty)
% Number of variables : 72 (; 68 !; 4 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
%$ hBOOL > hoare_1652181356iple_a > finite148164294iple_a > semi > hAPP_state_bool > hAPP_s58564346l_bool > hAPP_s1806633685e_bool > hAPP_f993216280a_bool > hAPP_f963367678e_bool > hAPP_f909473944a_bool > hAPP_f817621513e_bool > hAPP_f762886889e_bool > hAPP_f749678531l_bool > hAPP_f684479953a_bool > hAPP_f644196280e_bool > hAPP_f625100287l_bool > hAPP_f490779847iple_a > hAPP_f340725611e_bool > hAPP_f2112551770a_bool > hAPP_f1824947087e_bool > hAPP_f1759915619e_bool > hAPP_f167292325e_bool > hAPP_f16502863a_bool > hAPP_f1509969235l_bool > hAPP_f1454306822l_bool > hAPP_f1261923407e_bool > hAPP_f1259673775l_bool > hAPP_f1216137953a_bool > hAPP_f1022403729a_bool > hAPP_bool_bool > hAPP_b589554111l_bool > hAPP_b540892988e_bool > hAPP_b2019457360e_bool > hAPP_a849909144l_bool > hAPP_a723219176e_bool > hAPP_a2036067514e_bool > hAPP_a1200519163e_bool > hAPP_H963118037iple_a > hAPP_H694056973l_bool > hAPP_H1975128022a_bool > hAPP_H1700437986iple_a > hAPP_H1487873860l_bool > hAPP_H1448631928a_bool > hAPP_H1027145665a_bool > finite83514413iple_a > finite2098837632iple_a > finite1511031594iple_a > #nlpp > hoare_1617968510rivs_a > finite1943414032iple_a > collec829051333iple_a > cOMBK_bool_state > cOMBK_712844119iple_a > cOMBK_1458035955bool_a > cOMBB_213049548iple_a > cOMBB_196465322iple_a > cOMBB_188601460_state > cOMBB_160679318_state > cOMBB_145932198bool_a > cOMBB_1355796797bool_a > cOMBB_1348041619bool_a > cOMBB_1083611331iple_a > the_el1997360207iple_a > the_Ho1307659873iple_a > skip > p > member127332739iple_a > insert1434104874iple_a > g > finite68738179iple_a > fimplies > fequal_state > fequal1440857775iple_a > fequal1285825639a_bool > fdisj > fconj > fTrue > fNot > fFalse > cOMBS_2061548107l_bool > cOMBS_1378840469l_bool > cOMBC_892787026e_bool > cOMBC_862840740l_bool > cOMBC_825881325a_bool > cOMBC_671859290a_bool > cOMBC_41962815e_bool > cOMBC_231445413l_bool > cOMBC_2027030106e_bool > c > bot_bot_bool > bot_bo1208640912a_bool > b > #skF_2 > #skF_11 > #skF_19 > #skF_40 > #skF_10 > #skF_35 > #skF_21 > #skF_42 > #skF_36 > #skF_5 > #skF_31 > #skF_27 > #skF_32 > #skF_39 > #skF_8 > #skF_4 > #skF_33 > #skF_38 > #skF_46 > #skF_44 > #skF_23 > #skF_29 > #skF_30 > #skF_47 > #skF_45 > #skF_28 > #skF_25 > #skF_14 > #skF_34 > #skF_18 > #skF_12 > #skF_43 > #skF_9 > #skF_15 > #skF_24 > #skF_3 > #skF_20 > #skF_41 > #skF_26 > #skF_1 > #skF_17 > #skF_6 > #skF_37 > #skF_13 > #skF_16 > #skF_7 > #skF_22
%Foreground sorts:
tff(fun_bo675861616e_bool,type,
fun_bo675861616e_bool: $tType ).
tff(fun_fu1249172034a_bool,type,
fun_fu1249172034a_bool: $tType ).
tff(fun_a_fun_state_bool,type,
fun_a_fun_state_bool: $tType ).
tff(fun_Ho957066028l_bool,type,
fun_Ho957066028l_bool: $tType ).
tff(fun_a_998512028e_bool,type,
fun_a_998512028e_bool: $tType ).
tff(fun_fu373216837e_bool,type,
fun_fu373216837e_bool: $tType ).
tff(fun_Ho525994229l_bool,type,
fun_Ho525994229l_bool: $tType ).
tff(fun_bool_bool,type,
fun_bool_bool: $tType ).
tff(fun_fu1658206819l_bool,type,
fun_fu1658206819l_bool: $tType ).
tff(fun_a_1632297036l_bool,type,
fun_a_1632297036l_bool: $tType ).
tff(fun_fu2008829792e_bool,type,
fun_fu2008829792e_bool: $tType ).
tff(fun_fu269925879l_bool,type,
fun_fu269925879l_bool: $tType ).
tff(fun_fu1192765369a_bool,type,
fun_fu1192765369a_bool: $tType ).
tff(fun_fu2118559873l_bool,type,
fun_fu2118559873l_bool: $tType ).
tff(fun_bo1936561970e_bool,type,
fun_bo1936561970e_bool: $tType ).
tff(fun_fu1591723597e_bool,type,
fun_fu1591723597e_bool: $tType ).
tff(fun_fu276214394a_bool,type,
fun_fu276214394a_bool: $tType ).
tff(hoare_1927711152iple_a,type,
hoare_1927711152iple_a: $tType ).
tff(state,type,
state: $tType ).
tff(fun_bo1549164019l_bool,type,
fun_bo1549164019l_bool: $tType ).
tff(fun_fu1585556401a_bool,type,
fun_fu1585556401a_bool: $tType ).
tff(com,type,
com: $tType ).
tff(fun_Ho843200573iple_a,type,
fun_Ho843200573iple_a: $tType ).
tff(fun_fu1219323149e_bool,type,
fun_fu1219323149e_bool: $tType ).
tff(fun_fu281355805e_bool,type,
fun_fu281355805e_bool: $tType ).
tff(fun_Ho333840202iple_a,type,
fun_Ho333840202iple_a: $tType ).
tff(fun_Ho440810351a_bool,type,
fun_Ho440810351a_bool: $tType ).
tff(x_a,type,
x_a: $tType ).
tff(fun_fu402792811e_bool,type,
fun_fu402792811e_bool: $tType ).
tff(bool,type,
bool: $tType ).
tff(fun_fu1033095803iple_a,type,
fun_fu1033095803iple_a: $tType ).
tff(fun_st1506752259e_bool,type,
fun_st1506752259e_bool: $tType ).
tff(fun_fu1905604217a_bool,type,
fun_fu1905604217a_bool: $tType ).
tff(fun_st2063251938l_bool,type,
fun_st2063251938l_bool: $tType ).
tff(fun_Ho1877127206a_bool,type,
fun_Ho1877127206a_bool: $tType ).
tff(fun_Ho1630563774a_bool,type,
fun_Ho1630563774a_bool: $tType ).
tff(fun_state_bool,type,
fun_state_bool: $tType ).
tff(fun_fu734682033e_bool,type,
fun_fu734682033e_bool: $tType ).
tff(fun_fu1563903738a_bool,type,
fun_fu1563903738a_bool: $tType ).
tff(fun_fu832487784l_bool,type,
fun_fu832487784l_bool: $tType ).
tff(fun_fu1047394976e_bool,type,
fun_fu1047394976e_bool: $tType ).
tff(fun_fu893561155a_bool,type,
fun_fu893561155a_bool: $tType ).
tff(fun_fu1644852787l_bool,type,
fun_fu1644852787l_bool: $tType ).
tff(fun_fu222103665e_bool,type,
fun_fu222103665e_bool: $tType ).
tff(fun_a_2117018159e_bool,type,
fun_a_2117018159e_bool: $tType ).
%Background operators:
%Foreground operators:
tff(hAPP_f1261923407e_bool,type,
hAPP_f1261923407e_bool: ( fun_fu734682033e_bool * fun_a_2117018159e_bool ) > fun_fu281355805e_bool ).
tff('#skF_2',type,
'#skF_2': ( fun_Ho1877127206a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff(cOMBB_188601460_state,type,
cOMBB_188601460_state: fun_bo1549164019l_bool > fun_fu1658206819l_bool ).
tff(hAPP_b2019457360e_bool,type,
hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).
tff(cOMBB_1083611331iple_a,type,
cOMBB_1083611331iple_a: fun_fu832487784l_bool > fun_fu1563903738a_bool ).
tff('#skF_11',type,
'#skF_11': fun_Ho1877127206a_bool > hoare_1927711152iple_a ).
tff(cOMBB_196465322iple_a,type,
cOMBB_196465322iple_a: fun_bo1549164019l_bool > fun_fu269925879l_bool ).
tff('#skF_19',type,
'#skF_19': fun_Ho1877127206a_bool > hoare_1927711152iple_a ).
tff(hAPP_f1759915619e_bool,type,
hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).
tff(hAPP_f1022403729a_bool,type,
hAPP_f1022403729a_bool: ( fun_fu1905604217a_bool * fun_Ho1630563774a_bool ) > fun_fu276214394a_bool ).
tff(hoare_1652181356iple_a,type,
hoare_1652181356iple_a: ( fun_a_fun_state_bool * com * fun_a_fun_state_bool ) > hoare_1927711152iple_a ).
tff(hAPP_f16502863a_bool,type,
hAPP_f16502863a_bool: ( fun_fu1585556401a_bool * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(cOMBC_862840740l_bool,type,
cOMBC_862840740l_bool: fun_fu1192765369a_bool ).
tff(fTrue,type,
fTrue: bool ).
tff(cOMBK_bool_state,type,
cOMBK_bool_state: bool > fun_state_bool ).
tff(hoare_1617968510rivs_a,type,
hoare_1617968510rivs_a: fun_Ho1877127206a_bool > fun_fu832487784l_bool ).
tff('#skF_40',type,
'#skF_40': ( fun_Ho333840202iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > fun_Ho1877127206a_bool ).
tff(hAPP_f644196280e_bool,type,
hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).
tff(cOMBC_825881325a_bool,type,
cOMBC_825881325a_bool: fun_fu1905604217a_bool ).
tff('#skF_10',type,
'#skF_10': fun_Ho1877127206a_bool > hoare_1927711152iple_a ).
tff('#skF_35',type,
'#skF_35': ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(hAPP_f340725611e_bool,type,
hAPP_f340725611e_bool: ( fun_fu1591723597e_bool * fun_a_1632297036l_bool ) > fun_a_998512028e_bool ).
tff(skip,type,
skip: com ).
tff(hAPP_H1700437986iple_a,type,
hAPP_H1700437986iple_a: ( fun_Ho333840202iple_a * hoare_1927711152iple_a ) > fun_Ho843200573iple_a ).
tff(cOMBK_712844119iple_a,type,
cOMBK_712844119iple_a: bool > fun_Ho1877127206a_bool ).
tff('#skF_21',type,
'#skF_21': ( fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff('#skF_42',type,
'#skF_42': ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff('#skF_36',type,
'#skF_36': fun_Ho1877127206a_bool > fun_Ho1877127206a_bool ).
tff('#skF_5',type,
'#skF_5': ( com * fun_Ho1877127206a_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).
tff('#skF_31',type,
'#skF_31': ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff(fNot,type,
fNot: fun_bool_bool ).
tff(c,type,
c: com ).
tff('#skF_27',type,
'#skF_27': fun_Ho1877127206a_bool > hoare_1927711152iple_a ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff('#skF_32',type,
'#skF_32': ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > fun_Ho1877127206a_bool ).
tff(cOMBC_231445413l_bool,type,
cOMBC_231445413l_bool: fun_fu1219323149e_bool ).
tff(finite148164294iple_a,type,
finite148164294iple_a: ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(cOMBS_2061548107l_bool,type,
cOMBS_2061548107l_bool: fun_fu1249172034a_bool ).
tff('#skF_39',type,
'#skF_39': ( fun_Ho333840202iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff('#skF_8',type,
'#skF_8': ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho1877127206a_bool * fun_a_fun_state_bool * com ) > state ).
tff('#skF_4',type,
'#skF_4': ( fun_Ho1877127206a_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * com * fun_a_fun_state_bool ) > state ).
tff(hAPP_f1509969235l_bool,type,
hAPP_f1509969235l_bool: ( fun_fu2118559873l_bool * fun_a_fun_state_bool ) > fun_a_1632297036l_bool ).
tff('#skF_33',type,
'#skF_33': ( fun_Ho333840202iple_a * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).
tff(cOMBC_892787026e_bool,type,
cOMBC_892787026e_bool: fun_fu734682033e_bool ).
tff(hAPP_f909473944a_bool,type,
hAPP_f909473944a_bool: ( fun_fu1563903738a_bool * fun_Ho440810351a_bool ) > fun_Ho1877127206a_bool ).
tff(hAPP_f1824947087e_bool,type,
hAPP_f1824947087e_bool: ( fun_fu222103665e_bool * fun_a_998512028e_bool ) > fun_bo675861616e_bool ).
tff(hAPP_f762886889e_bool,type,
hAPP_f762886889e_bool: ( fun_fu281355805e_bool * fun_state_bool ) > fun_a_fun_state_bool ).
tff(hAPP_f684479953a_bool,type,
hAPP_f684479953a_bool: ( fun_fu1192765369a_bool * fun_Ho525994229l_bool ) > fun_fu1585556401a_bool ).
tff(finite1943414032iple_a,type,
finite1943414032iple_a: fun_Ho333840202iple_a > fun_fu1033095803iple_a ).
tff(fequal1440857775iple_a,type,
fequal1440857775iple_a: fun_Ho440810351a_bool ).
tff(hAPP_f167292325e_bool,type,
hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).
tff(hAPP_s58564346l_bool,type,
hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).
tff(b,type,
b: fun_state_bool ).
tff(hAPP_a849909144l_bool,type,
hAPP_a849909144l_bool: ( fun_a_1632297036l_bool * x_a ) > fun_st2063251938l_bool ).
tff(fequal_state,type,
fequal_state: fun_st1506752259e_bool ).
tff(fimplies,type,
fimplies: fun_bo1549164019l_bool ).
tff('#skF_38',type,
'#skF_38': ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).
tff(cOMBC_2027030106e_bool,type,
cOMBC_2027030106e_bool: fun_fu402792811e_bool ).
tff('#skF_46',type,
'#skF_46': ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).
tff(hAPP_H694056973l_bool,type,
hAPP_H694056973l_bool: ( fun_Ho525994229l_bool * hoare_1927711152iple_a ) > fun_fu832487784l_bool ).
tff('#skF_44',type,
'#skF_44': ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff(fequal1285825639a_bool,type,
fequal1285825639a_bool: fun_fu1644852787l_bool ).
tff(fdisj,type,
fdisj: fun_bo1549164019l_bool ).
tff(finite1511031594iple_a,type,
finite1511031594iple_a: ( fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > bool ).
tff(finite68738179iple_a,type,
finite68738179iple_a: fun_fu832487784l_bool ).
tff(cOMBK_1458035955bool_a,type,
cOMBK_1458035955bool_a: fun_state_bool > fun_a_fun_state_bool ).
tff('#skF_23',type,
'#skF_23': ( fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff('#skF_29',type,
'#skF_29': ( fun_Ho1877127206a_bool * fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > hoare_1927711152iple_a ).
tff(hAPP_f1454306822l_bool,type,
hAPP_f1454306822l_bool: ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > bool ).
tff(fconj,type,
fconj: fun_bo1549164019l_bool ).
tff(hAPP_f749678531l_bool,type,
hAPP_f749678531l_bool: ( fun_fu269925879l_bool * fun_Ho1877127206a_bool ) > fun_Ho957066028l_bool ).
tff(member127332739iple_a,type,
member127332739iple_a: fun_Ho525994229l_bool ).
tff('#skF_30',type,
'#skF_30': ( fun_Ho1877127206a_bool * fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > hoare_1927711152iple_a ).
tff('#skF_47',type,
'#skF_47': ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff('#skF_45',type,
'#skF_45': ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).
tff('#skF_28',type,
'#skF_28': fun_Ho1877127206a_bool > fun_Ho1877127206a_bool ).
tff('#skF_25',type,
'#skF_25': ( fun_a_fun_state_bool * fun_Ho1877127206a_bool * com * fun_a_fun_state_bool ) > state ).
tff(hAPP_a723219176e_bool,type,
hAPP_a723219176e_bool: ( fun_a_998512028e_bool * x_a ) > fun_bo1936561970e_bool ).
tff('#skF_14',type,
'#skF_14': hoare_1927711152iple_a > fun_a_fun_state_bool ).
tff('#skF_34',type,
'#skF_34': ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).
tff(hAPP_f993216280a_bool,type,
hAPP_f993216280a_bool: ( fun_fu276214394a_bool * fun_Ho1877127206a_bool ) > fun_Ho440810351a_bool ).
tff('#skF_18',type,
'#skF_18': ( hoare_1927711152iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff('#skF_12',type,
'#skF_12': fun_Ho1877127206a_bool > hoare_1927711152iple_a ).
tff('#skF_43',type,
'#skF_43': ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > fun_Ho1877127206a_bool ).
tff(cOMBS_1378840469l_bool,type,
cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).
tff(hAPP_f490779847iple_a,type,
hAPP_f490779847iple_a: ( fun_fu1033095803iple_a * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).
tff(hAPP_H1487873860l_bool,type,
hAPP_H1487873860l_bool: ( fun_Ho957066028l_bool * hoare_1927711152iple_a ) > fun_bool_bool ).
tff(hAPP_H1975128022a_bool,type,
hAPP_H1975128022a_bool: ( fun_Ho1630563774a_bool * hoare_1927711152iple_a ) > fun_fu1585556401a_bool ).
tff(hAPP_f1216137953a_bool,type,
hAPP_f1216137953a_bool: ( fun_fu893561155a_bool * fun_Ho440810351a_bool ) > fun_Ho440810351a_bool ).
tff(the_el1997360207iple_a,type,
the_el1997360207iple_a: fun_fu1033095803iple_a ).
tff('#skF_9',type,
'#skF_9': ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho1877127206a_bool * fun_a_fun_state_bool * com ) > state ).
tff('#skF_15',type,
'#skF_15': hoare_1927711152iple_a > com ).
tff('#skF_24',type,
'#skF_24': ( fun_a_fun_state_bool * fun_Ho1877127206a_bool * com * fun_a_fun_state_bool ) > x_a ).
tff('#skF_3',type,
'#skF_3': ( fun_Ho1877127206a_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * com * fun_a_fun_state_bool ) > x_a ).
tff('#skF_20',type,
'#skF_20': ( fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff(hAPP_a1200519163e_bool,type,
hAPP_a1200519163e_bool: ( fun_a_2117018159e_bool * x_a ) > fun_fu373216837e_bool ).
tff(hAPP_s1806633685e_bool,type,
hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).
tff(finite83514413iple_a,type,
finite83514413iple_a: ( fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > bool ).
tff('#skF_41',type,
'#skF_41': ( fun_Ho333840202iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff(cOMBB_1348041619bool_a,type,
cOMBB_1348041619bool_a: fun_fu1219323149e_bool > fun_fu1591723597e_bool ).
tff('#skF_26',type,
'#skF_26': ( fun_Ho1877127206a_bool * fun_a_fun_state_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff('#skF_1',type,
'#skF_1': ( fun_Ho1877127206a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).
tff('#skF_17',type,
'#skF_17': ( hoare_1927711152iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(hAPP_b540892988e_bool,type,
hAPP_b540892988e_bool: ( fun_bo675861616e_bool * bool ) > fun_a_fun_state_bool ).
tff(finite2098837632iple_a,type,
finite2098837632iple_a: ( fun_Ho333840202iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(cOMBB_1355796797bool_a,type,
cOMBB_1355796797bool_a: fun_fu1658206819l_bool > fun_fu2118559873l_bool ).
tff(hAPP_state_bool,type,
hAPP_state_bool: ( fun_state_bool * state ) > bool ).
tff(hAPP_f817621513e_bool,type,
hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).
tff(cOMBC_671859290a_bool,type,
cOMBC_671859290a_bool: fun_fu893561155a_bool ).
tff(fFalse,type,
fFalse: bool ).
tff(bot_bo1208640912a_bool,type,
bot_bo1208640912a_bool: fun_Ho1877127206a_bool ).
tff(p,type,
p: fun_a_fun_state_bool ).
tff('#skF_6',type,
'#skF_6': ( com * fun_Ho1877127206a_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff(g,type,
g: fun_Ho1877127206a_bool ).
tff(hBOOL,type,
hBOOL: bool > $o ).
tff(bot_bot_bool,type,
bot_bot_bool: bool ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff('#skF_37',type,
'#skF_37': fun_Ho1877127206a_bool > hoare_1927711152iple_a ).
tff(the_Ho1307659873iple_a,type,
the_Ho1307659873iple_a: fun_fu1033095803iple_a ).
tff(collec829051333iple_a,type,
collec829051333iple_a: fun_Ho1877127206a_bool > fun_Ho1877127206a_bool ).
tff('#skF_13',type,
'#skF_13': fun_Ho1877127206a_bool > hoare_1927711152iple_a ).
tff(insert1434104874iple_a,type,
insert1434104874iple_a: fun_Ho1630563774a_bool ).
tff(hAPP_H1448631928a_bool,type,
hAPP_H1448631928a_bool: ( fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > bool ).
tff(cOMBB_213049548iple_a,type,
cOMBB_213049548iple_a: fun_bool_bool > fun_fu1585556401a_bool ).
tff('#skF_16',type,
'#skF_16': hoare_1927711152iple_a > fun_a_fun_state_bool ).
tff(hAPP_a2036067514e_bool,type,
hAPP_a2036067514e_bool: ( fun_a_fun_state_bool * x_a ) > fun_state_bool ).
tff(semi,type,
semi: ( com * com ) > com ).
tff(cOMBC_41962815e_bool,type,
cOMBC_41962815e_bool: fun_fu222103665e_bool ).
tff(cOMBB_145932198bool_a,type,
cOMBB_145932198bool_a: fun_fu1047394976e_bool > fun_fu2008829792e_bool ).
tff('#skF_7',type,
'#skF_7': ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_Ho1877127206a_bool * fun_a_fun_state_bool * com ) > x_a ).
tff(cOMBB_160679318_state,type,
cOMBB_160679318_state: fun_bool_bool > fun_fu373216837e_bool ).
tff(hAPP_f1259673775l_bool,type,
hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).
tff(hAPP_f963367678e_bool,type,
hAPP_f963367678e_bool: ( fun_fu2008829792e_bool * fun_a_1632297036l_bool ) > fun_a_2117018159e_bool ).
tff(hAPP_H1027145665a_bool,type,
hAPP_H1027145665a_bool: ( fun_Ho440810351a_bool * hoare_1927711152iple_a ) > fun_Ho1877127206a_bool ).
tff(hAPP_f2112551770a_bool,type,
hAPP_f2112551770a_bool: ( fun_fu1249172034a_bool * fun_Ho957066028l_bool ) > fun_fu1585556401a_bool ).
tff('#skF_22',type,
'#skF_22': ( hoare_1927711152iple_a * fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff(hAPP_H963118037iple_a,type,
hAPP_H963118037iple_a: ( fun_Ho843200573iple_a * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff(hAPP_f625100287l_bool,type,
hAPP_f625100287l_bool: ( fun_fu1644852787l_bool * fun_Ho1877127206a_bool ) > fun_fu832487784l_bool ).
tff(f_436,axiom,
! [Pa: fun_Ho1877127206a_bool] : ( collec829051333iple_a(Pa) = Pa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_Collect__def) ).
tff(f_158,axiom,
! [Pa: fun_Ho1877127206a_bool] :
( ( bot_bo1208640912a_bool = collec829051333iple_a(Pa) )
<=> ! [X_2: hoare_1927711152iple_a] : ~ hBOOL(hAPP_H1448631928a_bool(Pa,X_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_empty__Collect__eq) ).
tff(f_251,axiom,
! [X_2: hoare_1927711152iple_a] :
( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X_2))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_bot__fun__def) ).
tff(f_684,axiom,
! [P: bool,Q: state] : ( hAPP_state_bool(cOMBK_bool_state(P),Q) = P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
tff(f_655,axiom,
! [P: bool] :
( ( P = fTrue )
| ( P = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
tff(f_651,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(f_526,axiom,
! [A_3: fun_Ho1877127206a_bool] :
( hBOOL(hAPP_f1454306822l_bool(finite68738179iple_a,A_3))
<=> ( ( A_3 = bot_bo1208640912a_bool )
| ? [A_1: fun_Ho1877127206a_bool,A_2: hoare_1927711152iple_a] :
( ( A_3 = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,A_2),A_1) )
& hBOOL(hAPP_f1454306822l_bool(finite68738179iple_a,A_1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_finite_Osimps) ).
tff(f_118,axiom,
! [A_3: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,A_3)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,A_3),bot_bo1208640912a_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_singleton__conv2) ).
tff(f_120,axiom,
! [A_3: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(hAPP_f1216137953a_bool(cOMBC_671859290a_bool,fequal1440857775iple_a),A_3)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,A_3),bot_bo1208640912a_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_singleton__conv) ).
tff(f_745,negated_conjecture,
~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_33,axiom,
! [Ga: fun_Ho1877127206a_bool] : hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),bot_bo1208640912a_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
tff(f_47,axiom,
! [Ga: fun_Ho1877127206a_bool,G_1: fun_Ho1877127206a_bool,Ts: fun_Ho1877127206a_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(G_1),Ts))
=> ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),G_1))
=> hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),Ts)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_cut) ).
tff(f_686,axiom,
! [P: fun_state_bool,Q: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(P),Q) = P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
tff(f_369,axiom,
! [Q_1: fun_a_fun_state_bool,Ga: fun_Ho1877127206a_bool,Ca: com,Pa: fun_a_fun_state_bool] :
( ! [Z_1: x_a,S: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_1),S))
=> ? [P_1: fun_a_fun_state_bool,Q_2: fun_a_fun_state_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(P_1,Ca,Q_2)),bot_bo1208640912a_bool)))
& ! [S_1: state] :
( ! [Z_2: x_a] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(P_1,Z_2),S))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Q_2,Z_2),S_1)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Q_1,Z_1),S_1)) ) ) )
=> hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(Pa,Ca,Q_1)),bot_bo1208640912a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_conseq) ).
tff(c_246,plain,
! [Pa_259: fun_Ho1877127206a_bool] : ( collec829051333iple_a(Pa_259) = Pa_259 ),
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_67,plain,
! [Pa_78: fun_Ho1877127206a_bool,X_2_81: hoare_1927711152iple_a] :
( ~ hBOOL(hAPP_H1448631928a_bool(Pa_78,X_2_81))
| ( collec829051333iple_a(Pa_78) != bot_bo1208640912a_bool ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_439,plain,
! [X_2_81: hoare_1927711152iple_a] : ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X_2_81)),
inference(demodulation,[status(thm),theory(equality)],[c_246,c_67]) ).
tff(c_147,plain,
! [X_2_133: hoare_1927711152iple_a] :
( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X_2_133))
| ~ hBOOL(bot_bot_bool) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_440,plain,
~ hBOOL(bot_bot_bool),
inference(negUnitSimplification,[status(thm)],[c_439,c_147]) ).
tff(c_374,plain,
! [P_377: bool,Q_378: state] : ( hAPP_state_bool(cOMBK_bool_state(P_377),Q_378) = P_377 ),
inference(cnfTransformation,[status(thm)],[f_684]) ).
tff(c_656,plain,
( ( fFalse = bot_bot_bool )
| ( fTrue = bot_bot_bool ) ),
inference(cnfTransformation,[status(thm)],[f_655]) ).
tff(c_360,plain,
~ hBOOL(fFalse),
inference(cnfTransformation,[status(thm)],[f_651]) ).
tff(c_294,plain,
hBOOL(hAPP_f1454306822l_bool(finite68738179iple_a,bot_bo1208640912a_bool)),
inference(cnfTransformation,[status(thm)],[f_526]) ).
tff(c_362,plain,
! [P_366: bool] :
( ( fFalse = P_366 )
| ( fTrue = P_366 ) ),
inference(cnfTransformation,[status(thm)],[f_655]) ).
tff(c_551,plain,
! [P_446: bool] :
( ( fFalse = P_446 )
| ( fTrue = P_446 ) ),
inference(cnfTransformation,[status(thm)],[f_655]) ).
tff(c_47,plain,
! [A_3_65: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,A_3_65),bot_bo1208640912a_bool) = collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,A_3_65)) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_472,plain,
! [A_3_65: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,A_3_65),bot_bo1208640912a_bool) = hAPP_H1027145665a_bool(fequal1440857775iple_a,A_3_65) ),
inference(demodulation,[status(thm),theory(equality)],[c_246,c_47]) ).
tff(c_49,plain,
! [A_3_66: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(hAPP_f1216137953a_bool(cOMBC_671859290a_bool,fequal1440857775iple_a),A_3_66)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,A_3_66),bot_bo1208640912a_bool) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_448,plain,
! [A_3_66: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,A_3_66),bot_bo1208640912a_bool) = hAPP_H1027145665a_bool(hAPP_f1216137953a_bool(cOMBC_671859290a_bool,fequal1440857775iple_a),A_3_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_246,c_49]) ).
tff(c_473,plain,
! [A_3_66: hoare_1927711152iple_a] : ( hAPP_H1027145665a_bool(hAPP_f1216137953a_bool(cOMBC_671859290a_bool,fequal1440857775iple_a),A_3_66) = hAPP_H1027145665a_bool(fequal1440857775iple_a,A_3_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_472,c_448]) ).
tff(c_422,plain,
~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
inference(cnfTransformation,[status(thm)],[f_745]) ).
tff(c_465,plain,
~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(hAPP_f1216137953a_bool(cOMBC_671859290a_bool,fequal1440857775iple_a),hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_422]) ).
tff(c_497,plain,
~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
inference(demodulation,[status(thm),theory(equality)],[c_473,c_465]) ).
tff(c_560,plain,
( ~ hBOOL(fTrue)
| ( hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))) = fFalse ) ),
inference(superposition,[status(thm),theory(equality)],[c_551,c_497]) ).
tff(c_636,plain,
~ hBOOL(fTrue),
inference(splitLeft,[status(thm)],[c_560]) ).
tff(c_638,plain,
! [P_925: bool] :
( ~ hBOOL(P_925)
| ( fFalse = P_925 ) ),
inference(superposition,[status(thm),theory(equality)],[c_362,c_636]) ).
tff(c_650,plain,
hAPP_f1454306822l_bool(finite68738179iple_a,bot_bo1208640912a_bool) = fFalse,
inference(resolution,[status(thm)],[c_294,c_638]) ).
tff(c_651,plain,
hBOOL(fFalse),
inference(demodulation,[status(thm),theory(equality)],[c_650,c_294]) ).
tff(c_653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_360,c_651]) ).
tff(c_655,plain,
hBOOL(fTrue),
inference(splitRight,[status(thm)],[c_560]) ).
tff(c_657,plain,
( hBOOL(bot_bot_bool)
| ( fFalse = bot_bot_bool ) ),
inference(superposition,[status(thm),theory(equality)],[c_656,c_655]) ).
tff(c_662,plain,
fFalse = bot_bot_bool,
inference(negUnitSimplification,[status(thm)],[c_440,c_657]) ).
tff(c_654,plain,
hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))) = fFalse,
inference(splitRight,[status(thm)],[c_560]) ).
tff(c_800,plain,
hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))) = bot_bot_bool,
inference(demodulation,[status(thm),theory(equality)],[c_662,c_662,c_654]) ).
tff(c_667,plain,
! [P_366: bool] :
( ( bot_bot_bool = P_366 )
| ( fTrue = P_366 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_662,c_362]) ).
tff(c_2,plain,
! [Ga_1: fun_Ho1877127206a_bool] : hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_1),bot_bo1208640912a_bool)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_11110,plain,
! [Ga_5052: fun_Ho1877127206a_bool,Ts_5053: fun_Ho1877127206a_bool,G_1_5054: fun_Ho1877127206a_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_5052),Ts_5053))
| ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_5052),G_1_5054))
| ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(G_1_5054),Ts_5053)) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_11132,plain,
! [Ga_5067: fun_Ho1877127206a_bool,Ts_5068: fun_Ho1877127206a_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_5067),Ts_5068))
| ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(bot_bo1208640912a_bool),Ts_5068)) ),
inference(resolution,[status(thm)],[c_2,c_11110]) ).
tff(c_11144,plain,
! [Ga_5067: fun_Ho1877127206a_bool,Ts_5068: fun_Ho1877127206a_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_5067),Ts_5068))
| ~ hBOOL(fTrue)
| ( hAPP_f1454306822l_bool(hoare_1617968510rivs_a(bot_bo1208640912a_bool),Ts_5068) = bot_bot_bool ) ),
inference(superposition,[status(thm),theory(equality)],[c_667,c_11132]) ).
tff(c_11156,plain,
! [Ga_5081: fun_Ho1877127206a_bool,Ts_5082: fun_Ho1877127206a_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_5081),Ts_5082))
| ( hAPP_f1454306822l_bool(hoare_1617968510rivs_a(bot_bo1208640912a_bool),Ts_5082) = bot_bot_bool ) ),
inference(demodulation,[status(thm),theory(equality)],[c_655,c_11144]) ).
tff(c_11174,plain,
( hBOOL(bot_bot_bool)
| ( hAPP_f1454306822l_bool(hoare_1617968510rivs_a(bot_bo1208640912a_bool),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))) = bot_bot_bool ) ),
inference(superposition,[status(thm),theory(equality)],[c_800,c_11156]) ).
tff(c_11183,plain,
hAPP_f1454306822l_bool(hoare_1617968510rivs_a(bot_bo1208640912a_bool),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))) = bot_bot_bool,
inference(negUnitSimplification,[status(thm)],[c_440,c_11174]) ).
tff(c_376,plain,
! [P_379: fun_state_bool,Q_380: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(P_379),Q_380) = P_379 ),
inference(cnfTransformation,[status(thm)],[f_686]) ).
tff(c_202,plain,
! [Pa_190: fun_a_fun_state_bool,Q_1_187: fun_a_fun_state_bool,Ga_188: fun_Ho1877127206a_bool,Ca_189: com] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa_190,'#skF_24'(Q_1_187,Ga_188,Ca_189,Pa_190)),'#skF_25'(Q_1_187,Ga_188,Ca_189,Pa_190)))
| hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_188),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(Pa_190,Ca_189,Q_1_187)),bot_bo1208640912a_bool))) ),
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_462,plain,
! [Pa_190: fun_a_fun_state_bool,Q_1_187: fun_a_fun_state_bool,Ga_188: fun_Ho1877127206a_bool,Ca_189: com] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa_190,'#skF_24'(Q_1_187,Ga_188,Ca_189,Pa_190)),'#skF_25'(Q_1_187,Ga_188,Ca_189,Pa_190)))
| hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_188),hAPP_H1027145665a_bool(hAPP_f1216137953a_bool(cOMBC_671859290a_bool,fequal1440857775iple_a),hoare_1652181356iple_a(Pa_190,Ca_189,Q_1_187)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_202]) ).
tff(c_22410,plain,
! [Pa_7040: fun_a_fun_state_bool,Q_1_7041: fun_a_fun_state_bool,Ga_7042: fun_Ho1877127206a_bool,Ca_7043: com] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa_7040,'#skF_24'(Q_1_7041,Ga_7042,Ca_7043,Pa_7040)),'#skF_25'(Q_1_7041,Ga_7042,Ca_7043,Pa_7040)))
| hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_7042),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(Pa_7040,Ca_7043,Q_1_7041)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_473,c_462]) ).
tff(c_116547,plain,
! [P_71333: fun_state_bool,Q_1_71334: fun_a_fun_state_bool,Ga_71335: fun_Ho1877127206a_bool,Ca_71336: com] :
( hBOOL(hAPP_state_bool(P_71333,'#skF_25'(Q_1_71334,Ga_71335,Ca_71336,cOMBK_1458035955bool_a(P_71333))))
| hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga_71335),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(P_71333),Ca_71336,Q_1_71334)))) ),
inference(superposition,[status(thm),theory(equality)],[c_376,c_22410]) ).
tff(c_116589,plain,
( hBOOL(hAPP_state_bool(cOMBK_bool_state(bot_bot_bool),'#skF_25'(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)),bot_bo1208640912a_bool,c,cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)))))
| hBOOL(bot_bot_bool) ),
inference(superposition,[status(thm),theory(equality)],[c_11183,c_116547]) ).
tff(c_116630,plain,
( hBOOL(bot_bot_bool)
| hBOOL(bot_bot_bool) ),
inference(demodulation,[status(thm),theory(equality)],[c_374,c_116589]) ).
tff(c_116632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_440,c_116630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW470_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.36 % Computer : n017.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 19:11:51 EDT 2023
% 0.13/0.36 % CPUTime :
% 39.89/23.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.89/23.80
% 39.89/23.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 39.89/23.84
% 39.89/23.84 Inference rules
% 39.89/23.84 ----------------------
% 39.89/23.84 #Ref : 12
% 39.89/23.84 #Sup : 28571
% 39.89/23.84 #Fact : 5
% 39.89/23.84 #Define : 0
% 39.89/23.84 #Split : 3
% 39.89/23.84 #Chain : 0
% 39.89/23.84 #Close : 0
% 39.89/23.84
% 39.89/23.84 Ordering : KBO
% 39.89/23.84
% 39.89/23.84 Simplification rules
% 39.89/23.84 ----------------------
% 39.89/23.84 #Subsume : 10375
% 39.89/23.84 #Demod : 9592
% 39.89/23.84 #Tautology : 8517
% 39.89/23.84 #SimpNegUnit : 4814
% 39.89/23.84 #BackRed : 43
% 39.89/23.84
% 39.89/23.84 #Partial instantiations: 27294
% 39.89/23.84 #Strategies tried : 1
% 39.89/23.84
% 39.89/23.84 Timing (in seconds)
% 39.89/23.84 ----------------------
% 39.89/23.84 Preprocessing : 1.12
% 39.89/23.84 Parsing : 0.64
% 39.89/23.85 CNF conversion : 0.09
% 39.89/23.85 Main loop : 21.67
% 39.89/23.85 Inferencing : 3.62
% 39.89/23.85 Reduction : 10.85
% 39.89/23.85 Demodulation : 8.79
% 39.89/23.85 BG Simplification : 0.32
% 39.89/23.85 Subsumption : 5.92
% 39.89/23.85 Abstraction : 0.49
% 39.89/23.85 MUC search : 0.00
% 39.89/23.85 Cooper : 0.00
% 39.89/23.85 Total : 22.85
% 39.89/23.85 Index Insertion : 0.00
% 39.89/23.85 Index Deletion : 0.00
% 39.89/23.85 Index Matching : 0.00
% 39.89/23.85 BG Taut test : 0.00
%------------------------------------------------------------------------------