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 : n010.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 54.43s 33.24s
% Output : CNFRefutation 54.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 161
% Syntax : Number of formulae : 259 ( 55 unt; 139 typ; 0 def)
% Number of atoms : 214 ( 105 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 161 ( 67 ~; 77 |; 5 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 245 ( 109 >; 136 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 137 ( 137 usr; 30 con; 0-6 aty)
% Number of variables : 158 (; 153 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_bool > hBOOL > hoare_1050552211iple_a > finite1734202118iple_a > semi > hAPP_state_bool > hAPP_s58564346l_bool > hAPP_s1806633685e_bool > hAPP_f963367678e_bool > hAPP_f945663555a_bool > hAPP_f817621513e_bool > hAPP_f762886889e_bool > hAPP_f644196280e_bool > hAPP_f340725611e_bool > hAPP_f1945881407l_bool > hAPP_f1915402821a_bool > hAPP_f1874567875a_bool > hAPP_f1826273671iple_a > hAPP_f1824947087e_bool > hAPP_f1759915619e_bool > hAPP_f1753944735l_bool > hAPP_f167292325e_bool > hAPP_f1509969235l_bool > hAPP_f1447988451a_bool > hAPP_f1400872321a_bool > hAPP_f13210641l_bool > hAPP_f1261923407e_bool > hAPP_f1259673775l_bool > hAPP_f1170963427a_bool > hAPP_f1104866853a_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_H568064713iple_a > hAPP_H562195827a_bool > hAPP_H401672213iple_a > hAPP_H1927961489a_bool > hAPP_H1926610125l_bool > hAPP_H1877746411l_bool > hAPP_H1816261935a_bool > finite520909254iple_a > finite388748825iple_a > finite1948426435iple_a > #nlpp > hoare_472868247rivs_a > finite233325225iple_a > collec1266446174iple_a > cOMBK_bool_state > cOMBK_1458035955bool_a > cOMBK_1150238960iple_a > cOMBB_650444389iple_a > cOMBB_633860163iple_a > cOMBB_545742339iple_a > cOMBB_188601460_state > cOMBB_160679318_state > cOMBB_145932198bool_a > cOMBB_1355796797bool_a > cOMBB_1348041619bool_a > the_el287271400iple_a > the_Ho1745054714iple_a > skip > p > member564727580iple_a > insert1871499715iple_a > g > finite506133020iple_a > fimplies > fequal_state > fequal1878252616iple_a > fequal1765155200a_bool > fdisj > fconj > fTrue > fNot > fFalse > cOMBS_213702372l_bool > cOMBS_1378840469l_bool > cOMBC_892787026e_bool > cOMBC_41962815e_bool > cOMBC_231445413l_bool > cOMBC_2067518550l_bool > cOMBC_2049287834a_bool > cOMBC_2027030106e_bool > cOMBC_1089176504a_bool > c > bot_bot_bool > bot_bo1687970473a_bool > b > #skF_36 > #skF_47 > #skF_35 > #skF_38 > #skF_16 > #skF_9 > #skF_24 > #skF_19 > #skF_17 > #skF_20 > #skF_45 > #skF_4 > #skF_37 > #skF_22 > #skF_44 > #skF_6 > #skF_5 > #skF_39 > #skF_29 > #skF_34 > #skF_26 > #skF_15 > #skF_30 > #skF_42 > #skF_18 > #skF_25 > #skF_32 > #skF_28 > #skF_10 > #skF_2 > #skF_33 > #skF_8 > #skF_7 > #skF_3 > #skF_43 > #skF_31 > #skF_40 > #skF_23 > #skF_13 > #skF_46 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_41 > #skF_1 > #skF_21
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fconj,type,
fconj: $i ).
tff(hAPP_a2036067514e_bool,type,
hAPP_a2036067514e_bool: ( $i * $i ) > $i ).
tff(hAPP_b540892988e_bool,type,
hAPP_b540892988e_bool: ( $i * $i ) > $i ).
tff(fequal1765155200a_bool,type,
fequal1765155200a_bool: $i ).
tff(hAPP_f963367678e_bool,type,
hAPP_f963367678e_bool: ( $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': $i > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff(the_Ho1745054714iple_a,type,
the_Ho1745054714iple_a: $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i ) > $i ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(hAPP_f1261923407e_bool,type,
hAPP_f1261923407e_bool: ( $i * $i ) > $i ).
tff(cOMBC_2067518550l_bool,type,
cOMBC_2067518550l_bool: $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(hAPP_f1447988451a_bool,type,
hAPP_f1447988451a_bool: ( $i * $i ) > $i ).
tff(hAPP_f1170963427a_bool,type,
hAPP_f1170963427a_bool: ( $i * $i ) > $i ).
tff(hAPP_s58564346l_bool,type,
hAPP_s58564346l_bool: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_a1200519163e_bool,type,
hAPP_a1200519163e_bool: ( $i * $i ) > $i ).
tff(hAPP_H1926610125l_bool,type,
hAPP_H1926610125l_bool: ( $i * $i ) > $i ).
tff(is_bool,type,
is_bool: $i > $o ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i ) > $i ).
tff(hAPP_H562195827a_bool,type,
hAPP_H562195827a_bool: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff(finite506133020iple_a,type,
finite506133020iple_a: $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff(cOMBC_2049287834a_bool,type,
cOMBC_2049287834a_bool: $i ).
tff(cOMBC_41962815e_bool,type,
cOMBC_41962815e_bool: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i ) > $i ).
tff(finite520909254iple_a,type,
finite520909254iple_a: ( $i * $i ) > $i ).
tff(fimplies,type,
fimplies: $i ).
tff(cOMBB_1355796797bool_a,type,
cOMBB_1355796797bool_a: $i > $i ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i ) > $i ).
tff(hAPP_f1753944735l_bool,type,
hAPP_f1753944735l_bool: ( $i * $i ) > $i ).
tff(hAPP_b2019457360e_bool,type,
hAPP_b2019457360e_bool: ( $i * $i ) > $i ).
tff(fNot,type,
fNot: $i ).
tff(fequal1878252616iple_a,type,
fequal1878252616iple_a: $i ).
tff(hoare_1050552211iple_a,type,
hoare_1050552211iple_a: ( $i * $i * $i ) > $i ).
tff(hAPP_a849909144l_bool,type,
hAPP_a849909144l_bool: ( $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i * $i ) > $i ).
tff(cOMBS_1378840469l_bool,type,
cOMBS_1378840469l_bool: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_f644196280e_bool,type,
hAPP_f644196280e_bool: ( $i * $i ) > $i ).
tff(the_el287271400iple_a,type,
the_el287271400iple_a: $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_f1400872321a_bool,type,
hAPP_f1400872321a_bool: ( $i * $i ) > $i ).
tff(hAPP_f1945881407l_bool,type,
hAPP_f1945881407l_bool: ( $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff(cOMBB_188601460_state,type,
cOMBB_188601460_state: $i > $i ).
tff(cOMBK_1150238960iple_a,type,
cOMBK_1150238960iple_a: $i > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff(cOMBC_892787026e_bool,type,
cOMBC_892787026e_bool: $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i ) > $i ).
tff(hAPP_f13210641l_bool,type,
hAPP_f13210641l_bool: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(cOMBK_1458035955bool_a,type,
cOMBK_1458035955bool_a: $i > $i ).
tff(hAPP_H1816261935a_bool,type,
hAPP_H1816261935a_bool: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(semi,type,
semi: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(hAPP_H568064713iple_a,type,
hAPP_H568064713iple_a: ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff(hAPP_H1877746411l_bool,type,
hAPP_H1877746411l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1509969235l_bool,type,
hAPP_f1509969235l_bool: ( $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(hAPP_f1824947087e_bool,type,
hAPP_f1824947087e_bool: ( $i * $i ) > $i ).
tff(insert1871499715iple_a,type,
insert1871499715iple_a: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff(hAPP_s1806633685e_bool,type,
hAPP_s1806633685e_bool: ( $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i ) > $i ).
tff(hAPP_f340725611e_bool,type,
hAPP_f340725611e_bool: ( $i * $i ) > $i ).
tff(hAPP_f1874567875a_bool,type,
hAPP_f1874567875a_bool: ( $i * $i ) > $i ).
tff(finite1948426435iple_a,type,
finite1948426435iple_a: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_f1915402821a_bool,type,
hAPP_f1915402821a_bool: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(skip,type,
skip: $i ).
tff(hAPP_f762886889e_bool,type,
hAPP_f762886889e_bool: ( $i * $i ) > $i ).
tff(cOMBB_160679318_state,type,
cOMBB_160679318_state: $i > $i ).
tff(bot_bo1687970473a_bool,type,
bot_bo1687970473a_bool: $i ).
tff(fdisj,type,
fdisj: $i ).
tff(collec1266446174iple_a,type,
collec1266446174iple_a: $i > $i ).
tff(cOMBC_231445413l_bool,type,
cOMBC_231445413l_bool: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i ) > $i ).
tff(g,type,
g: $i ).
tff(hAPP_H1927961489a_bool,type,
hAPP_H1927961489a_bool: ( $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(cOMBB_1348041619bool_a,type,
cOMBB_1348041619bool_a: $i > $i ).
tff(hoare_472868247rivs_a,type,
hoare_472868247rivs_a: $i > $i ).
tff(fTrue,type,
fTrue: $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i ) > $i ).
tff(cOMBS_213702372l_bool,type,
cOMBS_213702372l_bool: $i ).
tff(hAPP_f1259673775l_bool,type,
hAPP_f1259673775l_bool: ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(cOMBC_1089176504a_bool,type,
cOMBC_1089176504a_bool: $i ).
tff(hAPP_a723219176e_bool,type,
hAPP_a723219176e_bool: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(hAPP_f167292325e_bool,type,
hAPP_f167292325e_bool: ( $i * $i ) > $i ).
tff(cOMBC_2027030106e_bool,type,
cOMBC_2027030106e_bool: $i ).
tff(hAPP_f1826273671iple_a,type,
hAPP_f1826273671iple_a: ( $i * $i ) > $i ).
tff(bot_bot_bool,type,
bot_bot_bool: $i ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(hAPP_f817621513e_bool,type,
hAPP_f817621513e_bool: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(fequal_state,type,
fequal_state: $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i ) > $i ).
tff(p,type,
p: $i ).
tff(finite233325225iple_a,type,
finite233325225iple_a: $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(finite1734202118iple_a,type,
finite1734202118iple_a: ( $i * $i * $i ) > $i ).
tff(hAPP_f1104866853a_bool,type,
hAPP_f1104866853a_bool: ( $i * $i ) > $i ).
tff(fFalse,type,
fFalse: $i ).
tff(cOMBB_545742339iple_a,type,
cOMBB_545742339iple_a: $i > $i ).
tff(member564727580iple_a,type,
member564727580iple_a: $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff(cOMBK_bool_state,type,
cOMBK_bool_state: $i > $i ).
tff(finite388748825iple_a,type,
finite388748825iple_a: ( $i * $i ) > $i ).
tff(hAPP_f1759915619e_bool,type,
hAPP_f1759915619e_bool: ( $i * $i ) > $i ).
tff(hAPP_f945663555a_bool,type,
hAPP_f945663555a_bool: ( $i * $i ) > $i ).
tff(cOMBB_633860163iple_a,type,
cOMBB_633860163iple_a: $i > $i ).
tff(cOMBB_145932198bool_a,type,
cOMBB_145932198bool_a: $i > $i ).
tff(cOMBB_650444389iple_a,type,
cOMBB_650444389iple_a: $i > $i ).
tff(hAPP_H401672213iple_a,type,
hAPP_H401672213iple_a: ( $i * $i ) > $i ).
tff(hAPP_state_bool,type,
hAPP_state_bool: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_451,axiom,
! [Pa] : ( collec1266446174iple_a(Pa) = Pa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_Collect__def) ).
tff(f_173,axiom,
! [Pa] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(Pa) )
<=> ! [X_2] : ~ hBOOL(hAPP_H1927961489a_bool(Pa,X_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_empty__Collect__eq) ).
tff(f_266,axiom,
! [X_2] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X_2))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_bot__fun__def) ).
tff(f_43,axiom,
! [B_1_1,B_2] : is_bool(hAPP_H1927961489a_bool(B_1_1,B_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_000tc__HOL__) ).
tff(f_33,axiom,
is_bool(bot_bot_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
tff(f_34,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).
tff(f_186,axiom,
bot_bo1687970473a_bool = collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_empty__def) ).
tff(f_729,axiom,
! [P,Q] :
( is_bool(P)
=> ( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(P),Q) = P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__) ).
tff(f_164,axiom,
! [Pa] :
( ( collec1266446174iple_a(Pa) = bot_bo1687970473a_bool )
<=> ! [X_2] : ~ hBOOL(hAPP_H1927961489a_bool(Pa,X_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_Collect__empty__eq) ).
tff(f_672,axiom,
! [P] :
( is_bool(P)
=> ( ( P = fTrue )
| ( P = fFalse ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
tff(f_574,axiom,
! [F_1,Z,A1,A2] :
( hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(F_1,Z,A1),A2))
<=> ( ( ( A1 = bot_bo1687970473a_bool )
& ( A2 = Z ) )
| ? [X_2,A_1,Y_1] :
( ( A1 = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X_2),A_1) )
& ( A2 = hAPP_H401672213iple_a(hAPP_H568064713iple_a(F_1,X_2),Y_1) )
& ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X_2),A_1))
& hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(F_1,Z,A_1),Y_1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_fold__graph_Osimps) ).
tff(f_35,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).
tff(f_45,hypothesis,
! [B_1_1,B_2] : is_bool(hAPP_f1753944735l_bool(B_1_1,B_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc) ).
tff(f_133,axiom,
! [A_3] : ( collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,A_3)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,A_3),bot_bo1687970473a_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_singleton__conv2) ).
tff(f_135,axiom,
! [A_3] : ( collec1266446174iple_a(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),A_3)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,A_3),bot_bo1687970473a_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_singleton__conv) ).
tff(f_766,negated_conjecture,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_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_bo1687970473a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_705,axiom,
! [P,Q] : ( 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_384,axiom,
! [Q_1,Ga,Ca,Pa] :
( ! [Z_1,S] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_1),S))
=> ? [P_1,Q_2] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(P_1,Ca,Q_2)),bot_bo1687970473a_bool)))
& ! [S_1] :
( ! [Z_2] :
( 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_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(Pa,Ca,Q_1)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_conseq) ).
tff(f_37,axiom,
! [B_1_1,B_2] : is_bool(hAPP_state_bool(B_1_1,B_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool) ).
tff(f_449,axiom,
! [X_1,A] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X_1),A))
<=> hBOOL(hAPP_H1927961489a_bool(A,X_1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_mem__def) ).
tff(f_759,axiom,
! [P,Q,R] : ( hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,P),Q),R) = hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(P,R),Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_00_002) ).
tff(f_703,axiom,
! [P,Q] :
( is_bool(P)
=> ( 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(c_264,plain,
! [Pa_271] : ( collec1266446174iple_a(Pa_271) = Pa_271 ),
inference(cnfTransformation,[status(thm)],[f_451]) ).
tff(c_85,plain,
! [Pa_90,X_2_93] :
( ~ hBOOL(hAPP_H1927961489a_bool(Pa_90,X_2_93))
| ( collec1266446174iple_a(Pa_90) != bot_bo1687970473a_bool ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_457,plain,
! [X_2_93] : ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X_2_93)),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_85]) ).
tff(c_165,plain,
! [X_2_145] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X_2_145))
| ~ hBOOL(bot_bot_bool) ),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_458,plain,
~ hBOOL(bot_bot_bool),
inference(negUnitSimplification,[status(thm)],[c_457,c_165]) ).
tff(c_16,plain,
! [B_1_1_9,B_2_10] : is_bool(hAPP_H1927961489a_bool(B_1_1_9,B_2_10)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_6,plain,
is_bool(bot_bot_bool),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_8,plain,
is_bool(fFalse),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_97,plain,
collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)) = bot_bo1687970473a_bool,
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_550,plain,
cOMBK_1150238960iple_a(fFalse) = bot_bo1687970473a_bool,
inference(superposition,[status(thm),theory(equality)],[c_97,c_264]) ).
tff(c_717,plain,
! [P_492,Q_493] :
( ( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(P_492),Q_493) = P_492 )
| ~ is_bool(P_492) ),
inference(cnfTransformation,[status(thm)],[f_729]) ).
tff(c_735,plain,
! [Q_493] :
( ( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,Q_493) = fFalse )
| ~ is_bool(fFalse) ),
inference(superposition,[status(thm),theory(equality)],[c_550,c_717]) ).
tff(c_739,plain,
! [Q_493] : ( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,Q_493) = fFalse ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_735]) ).
tff(c_81,plain,
! [Pa_85] :
( ( collec1266446174iple_a(Pa_85) = bot_bo1687970473a_bool )
| hBOOL(hAPP_H1927961489a_bool(Pa_85,'#skF_10'(Pa_85))) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_460,plain,
! [Pa_85] :
( ( bot_bo1687970473a_bool = Pa_85 )
| hBOOL(hAPP_H1927961489a_bool(Pa_85,'#skF_10'(Pa_85))) ),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_81]) ).
tff(c_837,plain,
! [P_505] :
( ( cOMBK_1150238960iple_a(P_505) = bot_bo1687970473a_bool )
| hBOOL(P_505)
| ~ is_bool(P_505) ),
inference(superposition,[status(thm),theory(equality)],[c_717,c_460]) ).
tff(c_858,plain,
( ( cOMBK_1150238960iple_a(bot_bot_bool) = bot_bo1687970473a_bool )
| hBOOL(bot_bot_bool) ),
inference(resolution,[status(thm)],[c_6,c_837]) ).
tff(c_870,plain,
cOMBK_1150238960iple_a(bot_bot_bool) = bot_bo1687970473a_bool,
inference(negUnitSimplification,[status(thm)],[c_458,c_858]) ).
tff(c_410,plain,
! [P_412,Q_413] :
( ( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(P_412),Q_413) = P_412 )
| ~ is_bool(P_412) ),
inference(cnfTransformation,[status(thm)],[f_729]) ).
tff(c_877,plain,
! [Q_413] :
( ( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,Q_413) = bot_bot_bool )
| ~ is_bool(bot_bot_bool) ),
inference(superposition,[status(thm),theory(equality)],[c_870,c_410]) ).
tff(c_881,plain,
fFalse = bot_bot_bool,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_739,c_877]) ).
tff(c_596,plain,
! [P_479] :
( ( fFalse = P_479 )
| ( fTrue = P_479 )
| ~ is_bool(P_479) ),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_626,plain,
( ( fFalse = bot_bot_bool )
| ( fTrue = bot_bot_bool ) ),
inference(resolution,[status(thm)],[c_6,c_596]) ).
tff(c_631,plain,
fTrue = bot_bot_bool,
inference(splitLeft,[status(thm)],[c_626]) ).
tff(c_380,plain,
! [P_378] :
( ( fFalse = P_378 )
| ( fTrue = P_378 )
| ~ is_bool(P_378) ),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_632,plain,
! [P_378] :
( ( fFalse = P_378 )
| ( bot_bot_bool = P_378 )
| ~ is_bool(P_378) ),
inference(demodulation,[status(thm),theory(equality)],[c_631,c_380]) ).
tff(c_969,plain,
! [P_511] :
( ( bot_bot_bool = P_511 )
| ( bot_bot_bool = P_511 )
| ~ is_bool(P_511) ),
inference(demodulation,[status(thm),theory(equality)],[c_881,c_632]) ).
tff(c_992,plain,
! [B_1_1_9,B_2_10] : ( hAPP_H1927961489a_bool(B_1_1_9,B_2_10) = bot_bot_bool ),
inference(resolution,[status(thm)],[c_16,c_969]) ).
tff(c_344,plain,
! [F_1_335,Z_336] : hBOOL(hAPP_H1927961489a_bool(finite1734202118iple_a(F_1_335,Z_336,bot_bo1687970473a_bool),Z_336)),
inference(cnfTransformation,[status(thm)],[f_574]) ).
tff(c_1011,plain,
hBOOL(bot_bot_bool),
inference(demodulation,[status(thm),theory(equality)],[c_992,c_344]) ).
tff(c_1019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_1011]) ).
tff(c_1021,plain,
fTrue != bot_bot_bool,
inference(splitRight,[status(thm)],[c_626]) ).
tff(c_10,plain,
is_bool(fTrue),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_1020,plain,
fFalse = bot_bot_bool,
inference(splitRight,[status(thm)],[c_626]) ).
tff(c_1023,plain,
cOMBK_1150238960iple_a(bot_bot_bool) = bot_bo1687970473a_bool,
inference(demodulation,[status(thm),theory(equality)],[c_1020,c_550]) ).
tff(c_1094,plain,
! [P_523,Q_524] :
( ( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(P_523),Q_524) = P_523 )
| ~ is_bool(P_523) ),
inference(cnfTransformation,[status(thm)],[f_729]) ).
tff(c_1108,plain,
! [Q_524] :
( ( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,Q_524) = bot_bot_bool )
| ~ is_bool(bot_bot_bool) ),
inference(superposition,[status(thm),theory(equality)],[c_1023,c_1094]) ).
tff(c_1112,plain,
! [Q_524] : ( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,Q_524) = bot_bot_bool ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1108]) ).
tff(c_87,plain,
! [Pa_90] :
( ( collec1266446174iple_a(Pa_90) = bot_bo1687970473a_bool )
| hBOOL(hAPP_H1927961489a_bool(Pa_90,'#skF_11'(Pa_90))) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_1128,plain,
! [Pa_526] :
( ( bot_bo1687970473a_bool = Pa_526 )
| hBOOL(hAPP_H1927961489a_bool(Pa_526,'#skF_11'(Pa_526))) ),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_87]) ).
tff(c_1198,plain,
! [P_537] :
( ( cOMBK_1150238960iple_a(P_537) = bot_bo1687970473a_bool )
| hBOOL(P_537)
| ~ is_bool(P_537) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_1128]) ).
tff(c_1232,plain,
( ( cOMBK_1150238960iple_a(fTrue) = bot_bo1687970473a_bool )
| hBOOL(fTrue) ),
inference(resolution,[status(thm)],[c_10,c_1198]) ).
tff(c_1234,plain,
hBOOL(fTrue),
inference(splitLeft,[status(thm)],[c_1232]) ).
tff(c_18,plain,
! [B_1_1_11,B_2_12] : is_bool(hAPP_f1753944735l_bool(B_1_1_11,B_2_12)),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_623,plain,
! [B_1_1_11,B_2_12] :
( ( hAPP_f1753944735l_bool(B_1_1_11,B_2_12) = fFalse )
| ( hAPP_f1753944735l_bool(B_1_1_11,B_2_12) = fTrue ) ),
inference(resolution,[status(thm)],[c_18,c_596]) ).
tff(c_1425,plain,
! [B_1_1_581,B_2_582] :
( ( hAPP_f1753944735l_bool(B_1_1_581,B_2_582) = bot_bot_bool )
| ( hAPP_f1753944735l_bool(B_1_1_581,B_2_582) = fTrue ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1020,c_623]) ).
tff(c_65,plain,
! [A_3_77] : ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,A_3_77),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,A_3_77)) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_490,plain,
! [A_3_77] : ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,A_3_77),bot_bo1687970473a_bool) = hAPP_H562195827a_bool(fequal1878252616iple_a,A_3_77) ),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_65]) ).
tff(c_67,plain,
! [A_3_78] : ( collec1266446174iple_a(hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),A_3_78)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,A_3_78),bot_bo1687970473a_bool) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_466,plain,
! [A_3_78] : ( hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,A_3_78),bot_bo1687970473a_bool) = hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),A_3_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_67]) ).
tff(c_491,plain,
! [A_3_78] : ( hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),A_3_78) = hAPP_H562195827a_bool(fequal1878252616iple_a,A_3_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_490,c_466]) ).
tff(c_440,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_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_bo1687970473a_bool))),
inference(cnfTransformation,[status(thm)],[f_766]) ).
tff(c_483,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),hoare_1050552211iple_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_466,c_440]) ).
tff(c_515,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_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_491,c_483]) ).
tff(c_1024,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_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)))))),
inference(demodulation,[status(thm),theory(equality)],[c_1020,c_515]) ).
tff(c_1443,plain,
( ~ hBOOL(fTrue)
| ( hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_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_1425,c_1024]) ).
tff(c_1464,plain,
hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_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_1234,c_1443]) ).
tff(c_394,plain,
! [P_391,Q_392] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(P_391),Q_392) = P_391 ),
inference(cnfTransformation,[status(thm)],[f_705]) ).
tff(c_220,plain,
! [Pa_202,Q_1_199,Ga_200,Ca_201] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa_202,'#skF_24'(Q_1_199,Ga_200,Ca_201,Pa_202)),'#skF_25'(Q_1_199,Ga_200,Ca_201,Pa_202)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga_200),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(Pa_202,Ca_201,Q_1_199)),bot_bo1687970473a_bool))) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_480,plain,
! [Pa_202,Q_1_199,Ga_200,Ca_201] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa_202,'#skF_24'(Q_1_199,Ga_200,Ca_201,Pa_202)),'#skF_25'(Q_1_199,Ga_200,Ca_201,Pa_202)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga_200),hAPP_H562195827a_bool(hAPP_f1915402821a_bool(cOMBC_2049287834a_bool,fequal1878252616iple_a),hoare_1050552211iple_a(Pa_202,Ca_201,Q_1_199)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_466,c_220]) ).
tff(c_658043,plain,
! [Pa_180954,Q_1_180955,Ga_180956,Ca_180957] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa_180954,'#skF_24'(Q_1_180955,Ga_180956,Ca_180957,Pa_180954)),'#skF_25'(Q_1_180955,Ga_180956,Ca_180957,Pa_180954)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga_180956),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(Pa_180954,Ca_180957,Q_1_180955)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_491,c_480]) ).
tff(c_775981,plain,
! [P_182100,Q_1_182101,Ga_182102,Ca_182103] :
( hBOOL(hAPP_state_bool(P_182100,'#skF_25'(Q_1_182101,Ga_182102,Ca_182103,cOMBK_1458035955bool_a(P_182100))))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga_182102),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(P_182100),Ca_182103,Q_1_182101)))) ),
inference(superposition,[status(thm),theory(equality)],[c_394,c_658043]) ).
tff(c_776106,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)),g,c,cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)))))
| hBOOL(bot_bot_bool) ),
inference(superposition,[status(thm),theory(equality)],[c_1464,c_775981]) ).
tff(c_776144,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)),g,c,cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool))))),
inference(negUnitSimplification,[status(thm)],[c_458,c_776106]) ).
tff(c_12,plain,
! [B_1_1_5,B_2_6] : is_bool(hAPP_state_bool(B_1_1_5,B_2_6)),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_1420,plain,
! [B_1_1_11,B_2_12] :
( ( hAPP_f1753944735l_bool(B_1_1_11,B_2_12) = bot_bot_bool )
| ( hAPP_f1753944735l_bool(B_1_1_11,B_2_12) = fTrue ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1020,c_623]) ).
tff(c_2987,plain,
! [A_682,X_1_683] :
( hBOOL(hAPP_H1927961489a_bool(A_682,X_1_683))
| ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X_1_683),A_682)) ),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_3013,plain,
! [B_2_12,X_1_683] :
( hBOOL(hAPP_H1927961489a_bool(B_2_12,X_1_683))
| ~ hBOOL(fTrue)
| ( hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X_1_683),B_2_12) = bot_bot_bool ) ),
inference(superposition,[status(thm),theory(equality)],[c_1420,c_2987]) ).
tff(c_178637,plain,
! [B_2_67884,X_1_67885] :
( hBOOL(hAPP_H1927961489a_bool(B_2_67884,X_1_67885))
| ( hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X_1_67885),B_2_67884) = bot_bot_bool ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1234,c_3013]) ).
tff(c_456,plain,
! [Pa_90,X_2_93] :
( ~ hBOOL(hAPP_H1927961489a_bool(Pa_90,X_2_93))
| ( bot_bo1687970473a_bool != Pa_90 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_85]) ).
tff(c_178766,plain,
! [B_2_67884,X_1_67885] :
( ( bot_bo1687970473a_bool != B_2_67884 )
| ( hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X_1_67885),B_2_67884) = bot_bot_bool ) ),
inference(resolution,[status(thm)],[c_178637,c_456]) ).
tff(c_68806,plain,
! [P_28784,Q_28785,R_28786] : ( hAPP_H1927961489a_bool(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,P_28784),Q_28785),R_28786) = hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(P_28784,R_28786),Q_28785) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_728352,plain,
! [P_181751,Q_181752] :
( ( hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,P_181751),Q_181752) = bot_bo1687970473a_bool )
| hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(P_181751,'#skF_10'(hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,P_181751),Q_181752))),Q_181752)) ),
inference(superposition,[status(thm),theory(equality)],[c_68806,c_460]) ).
tff(c_728451,plain,
! [B_2_67884] :
( ( hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),B_2_67884) = bot_bo1687970473a_bool )
| hBOOL(bot_bot_bool)
| ( bot_bo1687970473a_bool != B_2_67884 ) ),
inference(superposition,[status(thm),theory(equality)],[c_178766,c_728352]) ).
tff(c_728488,plain,
hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),bot_bo1687970473a_bool) = bot_bo1687970473a_bool,
inference(negUnitSimplification,[status(thm)],[c_458,c_728451]) ).
tff(c_392,plain,
! [P_389,Q_390] :
( ( hAPP_state_bool(cOMBK_bool_state(P_389),Q_390) = P_389 )
| ~ is_bool(P_389) ),
inference(cnfTransformation,[status(thm)],[f_703]) ).
tff(c_622,plain,
! [B_1_1_5,B_2_6] :
( ( hAPP_state_bool(B_1_1_5,B_2_6) = fFalse )
| ( hAPP_state_bool(B_1_1_5,B_2_6) = fTrue ) ),
inference(resolution,[status(thm)],[c_12,c_596]) ).
tff(c_1712,plain,
! [B_1_1_5,B_2_6] :
( ( hAPP_state_bool(B_1_1_5,B_2_6) = bot_bot_bool )
| ( hAPP_state_bool(B_1_1_5,B_2_6) = fTrue ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1020,c_622]) ).
tff(c_1235,plain,
! [P_540] :
( ~ hBOOL(P_540)
| ( cOMBK_1150238960iple_a(P_540) != bot_bo1687970473a_bool )
| ~ is_bool(P_540) ),
inference(superposition,[status(thm),theory(equality)],[c_1094,c_456]) ).
tff(c_2711,plain,
! [B_1_1_668,B_2_669] :
( ~ hBOOL(hAPP_state_bool(B_1_1_668,B_2_669))
| ( cOMBK_1150238960iple_a(hAPP_state_bool(B_1_1_668,B_2_669)) != bot_bo1687970473a_bool ) ),
inference(resolution,[status(thm)],[c_12,c_1235]) ).
tff(c_2723,plain,
! [B_1_1_5,B_2_6] :
( ~ hBOOL(fTrue)
| ( cOMBK_1150238960iple_a(hAPP_state_bool(B_1_1_5,B_2_6)) != bot_bo1687970473a_bool )
| ( hAPP_state_bool(B_1_1_5,B_2_6) = bot_bot_bool ) ),
inference(superposition,[status(thm),theory(equality)],[c_1712,c_2711]) ).
tff(c_172299,plain,
! [B_1_1_67738,B_2_67739] :
( ( cOMBK_1150238960iple_a(hAPP_state_bool(B_1_1_67738,B_2_67739)) != bot_bo1687970473a_bool )
| ( hAPP_state_bool(B_1_1_67738,B_2_67739) = bot_bot_bool ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1234,c_2723]) ).
tff(c_421748,plain,
! [P_124075,Q_124076] :
( ( cOMBK_1150238960iple_a(P_124075) != bot_bo1687970473a_bool )
| ( hAPP_state_bool(cOMBK_bool_state(P_124075),Q_124076) = bot_bot_bool )
| ~ is_bool(P_124075) ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_172299]) ).
tff(c_1225,plain,
! [B_1_1_5,B_2_6] :
( ( cOMBK_1150238960iple_a(hAPP_state_bool(B_1_1_5,B_2_6)) = bot_bo1687970473a_bool )
| hBOOL(hAPP_state_bool(B_1_1_5,B_2_6)) ),
inference(resolution,[status(thm)],[c_12,c_1198]) ).
tff(c_421805,plain,
! [P_124075,Q_124076] :
( ( cOMBK_1150238960iple_a(hAPP_state_bool(cOMBK_bool_state(P_124075),Q_124076)) = bot_bo1687970473a_bool )
| hBOOL(bot_bot_bool)
| ( cOMBK_1150238960iple_a(P_124075) != bot_bo1687970473a_bool )
| ~ is_bool(P_124075) ),
inference(superposition,[status(thm),theory(equality)],[c_421748,c_1225]) ).
tff(c_772362,plain,
! [P_182069,Q_182070] :
( ( cOMBK_1150238960iple_a(hAPP_state_bool(cOMBK_bool_state(P_182069),Q_182070)) = bot_bo1687970473a_bool )
| ( cOMBK_1150238960iple_a(P_182069) != bot_bo1687970473a_bool )
| ~ is_bool(P_182069) ),
inference(negUnitSimplification,[status(thm)],[c_458,c_421805]) ).
tff(c_262,plain,
! [X_1_269,A_270] :
( hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(member564727580iple_a,X_1_269),A_270))
| ~ hBOOL(hAPP_H1927961489a_bool(A_270,X_1_269)) ),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_681900,plain,
! [P_181334,R_181335,Q_181336] :
( ~ hBOOL(hAPP_f1753944735l_bool(hAPP_H1926610125l_bool(P_181334,R_181335),Q_181336))
| ( hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,P_181334),Q_181336) != bot_bo1687970473a_bool ) ),
inference(superposition,[status(thm),theory(equality)],[c_68806,c_456]) ).
tff(c_682146,plain,
! [A_181341,X_1_181342] :
( ( hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),A_181341) != bot_bo1687970473a_bool )
| ~ hBOOL(hAPP_H1927961489a_bool(A_181341,X_1_181342)) ),
inference(resolution,[status(thm)],[c_262,c_681900]) ).
tff(c_682353,plain,
! [P_412] :
( ( hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),cOMBK_1150238960iple_a(P_412)) != bot_bo1687970473a_bool )
| ~ hBOOL(P_412)
| ~ is_bool(P_412) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_682146]) ).
tff(c_772445,plain,
! [P_182069,Q_182070] :
( ( hAPP_f1400872321a_bool(hAPP_f945663555a_bool(cOMBC_2067518550l_bool,member564727580iple_a),bot_bo1687970473a_bool) != bot_bo1687970473a_bool )
| ~ hBOOL(hAPP_state_bool(cOMBK_bool_state(P_182069),Q_182070))
| ~ is_bool(hAPP_state_bool(cOMBK_bool_state(P_182069),Q_182070))
| ( cOMBK_1150238960iple_a(P_182069) != bot_bo1687970473a_bool )
| ~ is_bool(P_182069) ),
inference(superposition,[status(thm),theory(equality)],[c_772362,c_682353]) ).
tff(c_772603,plain,
! [P_182069,Q_182070] :
( ~ hBOOL(hAPP_state_bool(cOMBK_bool_state(P_182069),Q_182070))
| ( cOMBK_1150238960iple_a(P_182069) != bot_bo1687970473a_bool )
| ~ is_bool(P_182069) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_728488,c_772445]) ).
tff(c_776148,plain,
( ( cOMBK_1150238960iple_a(bot_bot_bool) != bot_bo1687970473a_bool )
| ~ is_bool(bot_bot_bool) ),
inference(resolution,[status(thm)],[c_776144,c_772603]) ).
tff(c_776194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1023,c_776148]) ).
tff(c_776195,plain,
cOMBK_1150238960iple_a(fTrue) = bot_bo1687970473a_bool,
inference(splitRight,[status(thm)],[c_1232]) ).
tff(c_776200,plain,
! [Q_413] :
( ( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,Q_413) = fTrue )
| ~ is_bool(fTrue) ),
inference(superposition,[status(thm),theory(equality)],[c_776195,c_410]) ).
tff(c_776204,plain,
fTrue = bot_bot_bool,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_1112,c_776200]) ).
tff(c_776206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1021,c_776204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.14 % 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 19:11:13 EDT 2023
% 0.13/0.36 % CPUTime :
% 54.43/33.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.43/33.25
% 54.43/33.25 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 54.57/33.30
% 54.57/33.30 Inference rules
% 54.57/33.30 ----------------------
% 54.57/33.30 #Ref : 12
% 54.57/33.30 #Sup : 177850
% 54.57/33.30 #Fact : 12
% 54.57/33.30 #Define : 0
% 54.57/33.30 #Split : 7
% 54.57/33.30 #Chain : 0
% 54.57/33.30 #Close : 0
% 54.57/33.30
% 54.57/33.30 Ordering : KBO
% 54.57/33.30
% 54.57/33.30 Simplification rules
% 54.57/33.30 ----------------------
% 54.57/33.30 #Subsume : 10837
% 54.57/33.30 #Demod : 23892
% 54.57/33.30 #Tautology : 13494
% 54.57/33.30 #SimpNegUnit : 7633
% 54.57/33.30 #BackRed : 110
% 54.57/33.30
% 54.57/33.30 #Partial instantiations: 101106
% 54.57/33.30 #Strategies tried : 1
% 54.57/33.30
% 54.57/33.30 Timing (in seconds)
% 54.57/33.30 ----------------------
% 54.57/33.30 Preprocessing : 0.94
% 54.57/33.30 Parsing : 0.48
% 54.57/33.30 CNF conversion : 0.08
% 54.57/33.30 Main loop : 31.26
% 54.57/33.30 Inferencing : 6.61
% 54.57/33.30 Reduction : 14.69
% 54.57/33.30 Demodulation : 11.91
% 54.57/33.30 BG Simplification : 0.38
% 54.57/33.30 Subsumption : 7.89
% 54.57/33.30 Abstraction : 0.69
% 54.57/33.30 MUC search : 0.00
% 54.57/33.30 Cooper : 0.00
% 54.57/33.30 Total : 32.27
% 54.57/33.30 Index Insertion : 0.00
% 54.57/33.30 Index Deletion : 0.00
% 54.57/33.30 Index Matching : 0.00
% 54.57/33.30 BG Taut test : 0.00
%------------------------------------------------------------------------------