TSTP Solution File: SWW470+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 : Fri Sep 1 00:17:53 EDT 2023
% Result : Theorem 77.06s 77.18s
% Output : CNFRefutation 77.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 148
% Syntax : Number of formulae : 171 ( 19 unt; 139 typ; 0 def)
% Number of atoms : 52 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 11 ~; 15 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 45 ( 7 sgn; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
finite520909254iple_a: ( $i * $i ) > $i ).
tff(decl_23,type,
is_bool: $i > $o ).
tff(decl_24,type,
finite1948426435iple_a: ( $i * $i ) > $i ).
tff(decl_25,type,
bot_bot_bool: $i ).
tff(decl_26,type,
fFalse: $i ).
tff(decl_27,type,
fTrue: $i ).
tff(decl_28,type,
hAPP_state_bool: ( $i * $i ) > $i ).
tff(decl_29,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(decl_30,type,
hAPP_H1927961489a_bool: ( $i * $i ) > $i ).
tff(decl_31,type,
hAPP_f1753944735l_bool: ( $i * $i ) > $i ).
tff(decl_32,type,
hoare_472868247rivs_a: $i > $i ).
tff(decl_33,type,
bot_bo1687970473a_bool: $i ).
tff(decl_34,type,
hBOOL: $i > $o ).
tff(decl_35,type,
hoare_1050552211iple_a: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
insert1871499715iple_a: $i ).
tff(decl_37,type,
hAPP_H1816261935a_bool: ( $i * $i ) > $i ).
tff(decl_38,type,
hAPP_f1400872321a_bool: ( $i * $i ) > $i ).
tff(decl_39,type,
cOMBC_41962815e_bool: $i ).
tff(decl_40,type,
cOMBC_231445413l_bool: $i ).
tff(decl_41,type,
cOMBB_1348041619bool_a: $i > $i ).
tff(decl_42,type,
fconj: $i ).
tff(decl_43,type,
cOMBB_188601460_state: $i > $i ).
tff(decl_44,type,
cOMBB_1355796797bool_a: $i > $i ).
tff(decl_45,type,
hAPP_f1509969235l_bool: ( $i * $i ) > $i ).
tff(decl_46,type,
hAPP_f340725611e_bool: ( $i * $i ) > $i ).
tff(decl_47,type,
hAPP_f1824947087e_bool: ( $i * $i ) > $i ).
tff(decl_48,type,
hAPP_b540892988e_bool: ( $i * $i ) > $i ).
tff(decl_49,type,
hAPP_a2036067514e_bool: ( $i * $i ) > $i ).
tff(decl_50,type,
cOMBC_2027030106e_bool: $i ).
tff(decl_51,type,
fequal_state: $i ).
tff(decl_52,type,
hAPP_f817621513e_bool: ( $i * $i ) > $i ).
tff(decl_53,type,
hAPP_s1806633685e_bool: ( $i * $i ) > $i ).
tff(decl_54,type,
cOMBK_1458035955bool_a: $i > $i ).
tff(decl_55,type,
member564727580iple_a: $i ).
tff(decl_56,type,
hAPP_H1926610125l_bool: ( $i * $i ) > $i ).
tff(decl_57,type,
fequal1878252616iple_a: $i ).
tff(decl_58,type,
hAPP_H562195827a_bool: ( $i * $i ) > $i ).
tff(decl_59,type,
collec1266446174iple_a: $i > $i ).
tff(decl_60,type,
cOMBC_2049287834a_bool: $i ).
tff(decl_61,type,
hAPP_f1915402821a_bool: ( $i * $i ) > $i ).
tff(decl_62,type,
cOMBS_213702372l_bool: $i ).
tff(decl_63,type,
cOMBB_633860163iple_a: $i > $i ).
tff(decl_64,type,
hAPP_f13210641l_bool: ( $i * $i ) > $i ).
tff(decl_65,type,
hAPP_f1104866853a_bool: ( $i * $i ) > $i ).
tff(decl_66,type,
cOMBK_1150238960iple_a: $i > $i ).
tff(decl_67,type,
fimplies: $i ).
tff(decl_68,type,
fNot: $i ).
tff(decl_69,type,
cOMBB_650444389iple_a: $i > $i ).
tff(decl_70,type,
fdisj: $i ).
tff(decl_71,type,
cOMBC_2067518550l_bool: $i ).
tff(decl_72,type,
hAPP_f945663555a_bool: ( $i * $i ) > $i ).
tff(decl_73,type,
the_el287271400iple_a: $i ).
tff(decl_74,type,
hAPP_f1826273671iple_a: ( $i * $i ) > $i ).
tff(decl_75,type,
skip: $i ).
tff(decl_76,type,
semi: ( $i * $i ) > $i ).
tff(decl_77,type,
the_Ho1745054714iple_a: $i ).
tff(decl_78,type,
fequal1765155200a_bool: $i ).
tff(decl_79,type,
hAPP_f1945881407l_bool: ( $i * $i ) > $i ).
tff(decl_80,type,
cOMBB_545742339iple_a: $i > $i ).
tff(decl_81,type,
cOMBC_1089176504a_bool: $i ).
tff(decl_82,type,
hAPP_f1874567875a_bool: ( $i * $i ) > $i ).
tff(decl_83,type,
hAPP_f1170963427a_bool: ( $i * $i ) > $i ).
tff(decl_84,type,
hAPP_f1447988451a_bool: ( $i * $i ) > $i ).
tff(decl_85,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(decl_86,type,
finite388748825iple_a: ( $i * $i ) > $i ).
tff(decl_87,type,
finite1734202118iple_a: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
finite506133020iple_a: $i ).
tff(decl_89,type,
hAPP_H568064713iple_a: ( $i * $i ) > $i ).
tff(decl_90,type,
hAPP_H401672213iple_a: ( $i * $i ) > $i ).
tff(decl_91,type,
finite233325225iple_a: $i > $i ).
tff(decl_92,type,
cOMBK_bool_state: $i > $i ).
tff(decl_93,type,
cOMBB_160679318_state: $i > $i ).
tff(decl_94,type,
hAPP_f1759915619e_bool: ( $i * $i ) > $i ).
tff(decl_95,type,
hAPP_f167292325e_bool: ( $i * $i ) > $i ).
tff(decl_96,type,
hAPP_b2019457360e_bool: ( $i * $i ) > $i ).
tff(decl_97,type,
hAPP_s58564346l_bool: ( $i * $i ) > $i ).
tff(decl_98,type,
cOMBS_1378840469l_bool: $i ).
tff(decl_99,type,
hAPP_f644196280e_bool: ( $i * $i ) > $i ).
tff(decl_100,type,
hAPP_a723219176e_bool: ( $i * $i ) > $i ).
tff(decl_101,type,
hAPP_f1259673775l_bool: ( $i * $i ) > $i ).
tff(decl_102,type,
hAPP_H1877746411l_bool: ( $i * $i ) > $i ).
tff(decl_103,type,
cOMBC_892787026e_bool: $i ).
tff(decl_104,type,
hAPP_f1261923407e_bool: ( $i * $i ) > $i ).
tff(decl_105,type,
hAPP_f762886889e_bool: ( $i * $i ) > $i ).
tff(decl_106,type,
hAPP_a1200519163e_bool: ( $i * $i ) > $i ).
tff(decl_107,type,
hAPP_a849909144l_bool: ( $i * $i ) > $i ).
tff(decl_108,type,
cOMBB_145932198bool_a: $i > $i ).
tff(decl_109,type,
hAPP_f963367678e_bool: ( $i * $i ) > $i ).
tff(decl_110,type,
g: $i ).
tff(decl_111,type,
c: $i ).
tff(decl_112,type,
p: $i ).
tff(decl_113,type,
b: $i ).
tff(decl_114,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
esk3_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_117,type,
esk4_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_118,type,
esk5_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_119,type,
esk6_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_120,type,
esk7_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_121,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
esk9_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_123,type,
esk10_1: $i > $i ).
tff(decl_124,type,
esk11_1: $i > $i ).
tff(decl_125,type,
esk12_1: $i > $i ).
tff(decl_126,type,
esk13_1: $i > $i ).
tff(decl_127,type,
esk14_1: $i > $i ).
tff(decl_128,type,
esk15_1: $i > $i ).
tff(decl_129,type,
esk16_1: $i > $i ).
tff(decl_130,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_131,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_132,type,
esk19_1: $i > $i ).
tff(decl_133,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_134,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_136,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_137,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_138,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_139,type,
esk26_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_140,type,
esk27_1: $i > $i ).
tff(decl_141,type,
esk28_1: $i > $i ).
tff(decl_142,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk31_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_145,type,
esk32_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_146,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk36_1: $i > $i ).
tff(decl_150,type,
esk37_1: $i > $i ).
tff(decl_151,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_155,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_157,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_158,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk47_2: ( $i * $i ) > $i ).
fof(help_fFalse_1_1_T,axiom,
! [X57] :
( is_bool(X57)
=> ( X57 = fTrue
| X57 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc,hypothesis,
! [X1,X2] : is_bool(hAPP_f1753944735l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc) ).
fof(fact_5_escape,axiom,
! [X3,X14,X15,X13] :
( ! [X17,X18] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X13,X17),X18))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X18)),X14,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X15,X17)))),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X13,X14,X15)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_escape) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [X57,X58] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X57),X58) = X57,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
fof(fact_71_finite_OemptyI,axiom,
hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_finite_OemptyI) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [X57,X58] :
( is_bool(X57)
=> hAPP_state_bool(cOMBK_bool_state(X57),X58) = X57 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(conj_0,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) ).
fof(gsy_c_fFalse,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(c_0_9,plain,
! [X396] :
( ~ is_bool(X396)
| X396 = fTrue
| X396 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
fof(c_0_10,hypothesis,
! [X72,X73] : is_bool(hAPP_f1753944735l_bool(X72,X73)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc]) ).
cnf(c_0_11,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,hypothesis,
is_bool(hAPP_f1753944735l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X92,X93,X94,X95] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X95,esk1_4(X92,X93,X94,X95)),esk2_4(X92,X93,X94,X95)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X92),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X95,X93,X94)),bot_bo1687970473a_bool))) )
& ( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X92),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),esk2_4(X92,X93,X94,X95))),X93,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X94,esk1_4(X92,X93,X94,X95))))),bot_bo1687970473a_bool)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X92),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X95,X93,X94)),bot_bo1687970473a_bool))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_5_escape])])])]) ).
fof(c_0_14,plain,
! [X409,X410] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X409),X410) = X409,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).
cnf(c_0_15,plain,
hBOOL(hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool)),
inference(split_conjunct,[status(thm)],[fact_71_finite_OemptyI]) ).
cnf(c_0_16,hypothesis,
( hAPP_f1753944735l_bool(X1,X2) = fTrue
| hAPP_f1753944735l_bool(X1,X2) = fFalse ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_18,plain,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk1_4(X2,X3,X4,X1)),esk2_4(X2,X3,X4,X1)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X1,X3,X4)),bot_bo1687970473a_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X407,X408] :
( ~ is_bool(X407)
| hAPP_state_bool(cOMBK_bool_state(X407),X408) = X407 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U])]) ).
fof(c_0_21,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))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_22,hypothesis,
( hAPP_f1753944735l_bool(finite506133020iple_a,bot_bo1687970473a_bool) = fFalse
| hBOOL(fTrue) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X2),X3,X4)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(X2,esk2_4(X1,X3,X4,cOMBK_1458035955bool_a(X2)))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( hAPP_state_bool(cOMBK_bool_state(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,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))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,hypothesis,
hBOOL(fTrue),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(X2)),X3,X4)),bot_bo1687970473a_bool)))
| hBOOL(X2)
| ~ is_bool(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
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)) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_27])]) ).
cnf(c_0_30,hypothesis,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[gsy_c_fFalse]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 19:57:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 77.06/77.18 % Version : CSE_E---1.5
% 77.06/77.18 % Problem : theBenchmark.p
% 77.06/77.18 % Proof found
% 77.06/77.18 % SZS status Theorem for theBenchmark.p
% 77.06/77.18 % SZS output start Proof
% See solution above
% 77.06/77.19 % Total time : 76.600000 s
% 77.06/77.19 % SZS output end Proof
% 77.06/77.19 % Total time : 76.608000 s
%------------------------------------------------------------------------------