%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW470_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:24 PM UTC 2026
% Result : Theorem 4.79s 1.27s
% Output : Refutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of types : 46 ( 45 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 95 ( 95 usr; 30 con; 0-4 aty)
% Number of variables : 28 ( 26 !; 2 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
x_a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
state: $tType ).
tff(type_def_8,type,
bool: $tType ).
tff(type_def_9,type,
hoare_1927711152iple_a: $tType ).
tff(type_def_10,type,
fun_a_fun_state_bool: $tType ).
tff(type_def_11,type,
fun_a_1632297036l_bool: $tType ).
tff(type_def_12,type,
fun_a_998512028e_bool: $tType ).
tff(type_def_13,type,
fun_a_2117018159e_bool: $tType ).
tff(type_def_14,type,
fun_state_bool: $tType ).
tff(type_def_15,type,
fun_st1506752259e_bool: $tType ).
tff(type_def_16,type,
fun_st2063251938l_bool: $tType ).
tff(type_def_17,type,
fun_bool_bool: $tType ).
tff(type_def_18,type,
fun_bo675861616e_bool: $tType ).
tff(type_def_19,type,
fun_bo1936561970e_bool: $tType ).
tff(type_def_20,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_21,type,
fun_Ho1877127206a_bool: $tType ).
tff(type_def_22,type,
fun_Ho843200573iple_a: $tType ).
tff(type_def_23,type,
fun_Ho957066028l_bool: $tType ).
tff(type_def_24,type,
fun_Ho440810351a_bool: $tType ).
tff(type_def_25,type,
fun_Ho333840202iple_a: $tType ).
tff(type_def_26,type,
fun_Ho525994229l_bool: $tType ).
tff(type_def_27,type,
fun_Ho1630563774a_bool: $tType ).
tff(type_def_28,type,
fun_fu2118559873l_bool: $tType ).
tff(type_def_29,type,
fun_fu1591723597e_bool: $tType ).
tff(type_def_30,type,
fun_fu2008829792e_bool: $tType ).
tff(type_def_31,type,
fun_fu222103665e_bool: $tType ).
tff(type_def_32,type,
fun_fu734682033e_bool: $tType ).
tff(type_def_33,type,
fun_fu281355805e_bool: $tType ).
tff(type_def_34,type,
fun_fu373216837e_bool: $tType ).
tff(type_def_35,type,
fun_fu1658206819l_bool: $tType ).
tff(type_def_36,type,
fun_fu402792811e_bool: $tType ).
tff(type_def_37,type,
fun_fu1219323149e_bool: $tType ).
tff(type_def_38,type,
fun_fu1047394976e_bool: $tType ).
tff(type_def_39,type,
fun_fu832487784l_bool: $tType ).
tff(type_def_40,type,
fun_fu1033095803iple_a: $tType ).
tff(type_def_41,type,
fun_fu1585556401a_bool: $tType ).
tff(type_def_42,type,
fun_fu269925879l_bool: $tType ).
tff(type_def_43,type,
fun_fu276214394a_bool: $tType ).
tff(type_def_44,type,
fun_fu1644852787l_bool: $tType ).
tff(type_def_45,type,
fun_fu1249172034a_bool: $tType ).
tff(type_def_46,type,
fun_fu1563903738a_bool: $tType ).
tff(type_def_47,type,
fun_fu893561155a_bool: $tType ).
tff(type_def_48,type,
fun_fu1192765369a_bool: $tType ).
tff(type_def_49,type,
fun_fu1905604217a_bool: $tType ).
tff(func_def_0,type,
cOMBB_160679318_state: fun_bool_bool > fun_fu373216837e_bool ).
tff(func_def_1,type,
cOMBB_213049548iple_a: fun_bool_bool > fun_fu1585556401a_bool ).
tff(func_def_2,type,
cOMBB_188601460_state: fun_bo1549164019l_bool > fun_fu1658206819l_bool ).
tff(func_def_3,type,
cOMBB_196465322iple_a: fun_bo1549164019l_bool > fun_fu269925879l_bool ).
tff(func_def_4,type,
cOMBB_1355796797bool_a: fun_fu1658206819l_bool > fun_fu2118559873l_bool ).
tff(func_def_5,type,
cOMBB_1348041619bool_a: fun_fu1219323149e_bool > fun_fu1591723597e_bool ).
tff(func_def_6,type,
cOMBB_145932198bool_a: fun_fu1047394976e_bool > fun_fu2008829792e_bool ).
tff(func_def_7,type,
cOMBB_1083611331iple_a: fun_fu832487784l_bool > fun_fu1563903738a_bool ).
tff(func_def_8,type,
cOMBC_41962815e_bool: fun_fu222103665e_bool ).
tff(func_def_9,type,
cOMBC_892787026e_bool: fun_fu734682033e_bool ).
tff(func_def_10,type,
cOMBC_2027030106e_bool: fun_fu402792811e_bool ).
tff(func_def_11,type,
cOMBC_231445413l_bool: fun_fu1219323149e_bool ).
tff(func_def_12,type,
cOMBC_671859290a_bool: fun_fu893561155a_bool ).
tff(func_def_13,type,
cOMBC_862840740l_bool: fun_fu1192765369a_bool ).
tff(func_def_14,type,
cOMBC_825881325a_bool: fun_fu1905604217a_bool ).
tff(func_def_15,type,
cOMBK_bool_state: bool > fun_state_bool ).
tff(func_def_16,type,
cOMBK_712844119iple_a: bool > fun_Ho1877127206a_bool ).
tff(func_def_17,type,
cOMBK_1458035955bool_a: fun_state_bool > fun_a_fun_state_bool ).
tff(func_def_18,type,
cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).
tff(func_def_19,type,
cOMBS_2061548107l_bool: fun_fu1249172034a_bool ).
tff(func_def_20,type,
skip: com ).
tff(func_def_21,type,
semi: ( com * com ) > com ).
tff(func_def_22,type,
finite68738179iple_a: fun_fu832487784l_bool ).
tff(func_def_23,type,
finite2098837632iple_a: ( fun_Ho333840202iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(func_def_24,type,
finite1943414032iple_a: fun_Ho333840202iple_a > fun_fu1033095803iple_a ).
tff(func_def_25,type,
finite148164294iple_a: ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(func_def_26,type,
finite83514413iple_a: ( fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > bool ).
tff(func_def_27,type,
finite1511031594iple_a: ( fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > bool ).
tff(func_def_28,type,
the_Ho1307659873iple_a: fun_fu1033095803iple_a ).
tff(func_def_29,type,
hoare_1617968510rivs_a: fun_Ho1877127206a_bool > fun_fu832487784l_bool ).
tff(func_def_30,type,
hoare_1652181356iple_a: ( fun_a_fun_state_bool * com * fun_a_fun_state_bool ) > hoare_1927711152iple_a ).
tff(func_def_31,type,
bot_bot_bool: bool ).
tff(func_def_32,type,
bot_bo1208640912a_bool: fun_Ho1877127206a_bool ).
tff(func_def_33,type,
collec829051333iple_a: fun_Ho1877127206a_bool > fun_Ho1877127206a_bool ).
tff(func_def_34,type,
insert1434104874iple_a: fun_Ho1630563774a_bool ).
tff(func_def_35,type,
the_el1997360207iple_a: fun_fu1033095803iple_a ).
tff(func_def_36,type,
fFalse: bool ).
tff(func_def_37,type,
fNot: fun_bool_bool ).
tff(func_def_38,type,
fTrue: bool ).
tff(func_def_39,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_40,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_41,type,
fequal_state: fun_st1506752259e_bool ).
tff(func_def_42,type,
fequal1440857775iple_a: fun_Ho440810351a_bool ).
tff(func_def_43,type,
fequal1285825639a_bool: fun_fu1644852787l_bool ).
tff(func_def_44,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_45,type,
hAPP_a2036067514e_bool: ( fun_a_fun_state_bool * x_a ) > fun_state_bool ).
tff(func_def_46,type,
hAPP_a849909144l_bool: ( fun_a_1632297036l_bool * x_a ) > fun_st2063251938l_bool ).
tff(func_def_47,type,
hAPP_a723219176e_bool: ( fun_a_998512028e_bool * x_a ) > fun_bo1936561970e_bool ).
tff(func_def_48,type,
hAPP_a1200519163e_bool: ( fun_a_2117018159e_bool * x_a ) > fun_fu373216837e_bool ).
tff(func_def_49,type,
hAPP_state_bool: ( fun_state_bool * state ) > bool ).
tff(func_def_50,type,
hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).
tff(func_def_51,type,
hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).
tff(func_def_52,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_53,type,
hAPP_b540892988e_bool: ( fun_bo675861616e_bool * bool ) > fun_a_fun_state_bool ).
tff(func_def_54,type,
hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).
tff(func_def_55,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_56,type,
hAPP_H1448631928a_bool: ( fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > bool ).
tff(func_def_57,type,
hAPP_H963118037iple_a: ( fun_Ho843200573iple_a * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).
tff(func_def_58,type,
hAPP_H1487873860l_bool: ( fun_Ho957066028l_bool * hoare_1927711152iple_a ) > fun_bool_bool ).
tff(func_def_59,type,
hAPP_H1027145665a_bool: ( fun_Ho440810351a_bool * hoare_1927711152iple_a ) > fun_Ho1877127206a_bool ).
tff(func_def_60,type,
hAPP_H1700437986iple_a: ( fun_Ho333840202iple_a * hoare_1927711152iple_a ) > fun_Ho843200573iple_a ).
tff(func_def_61,type,
hAPP_H694056973l_bool: ( fun_Ho525994229l_bool * hoare_1927711152iple_a ) > fun_fu832487784l_bool ).
tff(func_def_62,type,
hAPP_H1975128022a_bool: ( fun_Ho1630563774a_bool * hoare_1927711152iple_a ) > fun_fu1585556401a_bool ).
tff(func_def_63,type,
hAPP_f1509969235l_bool: ( fun_fu2118559873l_bool * fun_a_fun_state_bool ) > fun_a_1632297036l_bool ).
tff(func_def_64,type,
hAPP_f340725611e_bool: ( fun_fu1591723597e_bool * fun_a_1632297036l_bool ) > fun_a_998512028e_bool ).
tff(func_def_65,type,
hAPP_f963367678e_bool: ( fun_fu2008829792e_bool * fun_a_1632297036l_bool ) > fun_a_2117018159e_bool ).
tff(func_def_66,type,
hAPP_f1824947087e_bool: ( fun_fu222103665e_bool * fun_a_998512028e_bool ) > fun_bo675861616e_bool ).
tff(func_def_67,type,
hAPP_f1261923407e_bool: ( fun_fu734682033e_bool * fun_a_2117018159e_bool ) > fun_fu281355805e_bool ).
tff(func_def_68,type,
hAPP_f762886889e_bool: ( fun_fu281355805e_bool * fun_state_bool ) > fun_a_fun_state_bool ).
tff(func_def_69,type,
hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).
tff(func_def_70,type,
hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).
tff(func_def_71,type,
hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).
tff(func_def_72,type,
hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).
tff(func_def_73,type,
hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).
tff(func_def_74,type,
hAPP_f1454306822l_bool: ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > bool ).
tff(func_def_75,type,
hAPP_f490779847iple_a: ( fun_fu1033095803iple_a * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).
tff(func_def_76,type,
hAPP_f16502863a_bool: ( fun_fu1585556401a_bool * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).
tff(func_def_77,type,
hAPP_f749678531l_bool: ( fun_fu269925879l_bool * fun_Ho1877127206a_bool ) > fun_Ho957066028l_bool ).
tff(func_def_78,type,
hAPP_f993216280a_bool: ( fun_fu276214394a_bool * fun_Ho1877127206a_bool ) > fun_Ho440810351a_bool ).
tff(func_def_79,type,
hAPP_f625100287l_bool: ( fun_fu1644852787l_bool * fun_Ho1877127206a_bool ) > fun_fu832487784l_bool ).
tff(func_def_80,type,
hAPP_f2112551770a_bool: ( fun_fu1249172034a_bool * fun_Ho957066028l_bool ) > fun_fu1585556401a_bool ).
tff(func_def_81,type,
hAPP_f909473944a_bool: ( fun_fu1563903738a_bool * fun_Ho440810351a_bool ) > fun_Ho1877127206a_bool ).
tff(func_def_82,type,
hAPP_f1216137953a_bool: ( fun_fu893561155a_bool * fun_Ho440810351a_bool ) > fun_Ho440810351a_bool ).
tff(func_def_83,type,
hAPP_f684479953a_bool: ( fun_fu1192765369a_bool * fun_Ho525994229l_bool ) > fun_fu1585556401a_bool ).
tff(func_def_84,type,
hAPP_f1022403729a_bool: ( fun_fu1905604217a_bool * fun_Ho1630563774a_bool ) > fun_fu276214394a_bool ).
tff(func_def_85,type,
member127332739iple_a: fun_Ho525994229l_bool ).
tff(func_def_86,type,
g: fun_Ho1877127206a_bool ).
tff(func_def_87,type,
p: fun_a_fun_state_bool ).
tff(func_def_88,type,
b: fun_state_bool ).
tff(func_def_89,type,
c: com ).
tff(func_def_90,type,
sK0: ( fun_Ho1877127206a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).
tff(func_def_91,type,
sK1: ( fun_Ho1877127206a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff(func_def_92,type,
sK2: hoare_1927711152iple_a > fun_a_fun_state_bool ).
tff(func_def_93,type,
sK3: hoare_1927711152iple_a > com ).
tff(func_def_94,type,
sK4: hoare_1927711152iple_a > fun_a_fun_state_bool ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(f6,axiom,
! [X0: fun_Ho1877127206a_bool,X1: com,X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool] :
( ! [X4: x_a,X5: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
=> hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1208640912a_bool))) )
=> hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X1,X2)),bot_bo1208640912a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_escape) ).
tff(f104,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(f111,axiom,
! [X0: bool,X1: state] : ( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
tff(f112,axiom,
! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0 ),
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(f135,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(f136,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))),
inference(negated_conjecture,[status(cth)],[f135]) ).
tff(f137,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(flattening,[],[f136]) ).
tff(f139,plain,
! [X0: fun_Ho1877127206a_bool,X1: com,X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X1,X2)),bot_bo1208640912a_bool)))
| ? [X4: x_a,X5: state] :
( ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1208640912a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f149,plain,
! [X0: fun_Ho1877127206a_bool,X1: com,X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool] :
( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X1,X2)),bot_bo1208640912a_bool)))
| ( ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK1(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK0(X0,X1,X2,X3))))),bot_bo1208640912a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK0(X0,X1,X2,X3)),sK1(X0,X1,X2,X3))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X4,sK0(X0,X1,X2,X3)),skolemize(X5,sK1(X0,X1,X2,X3))],[f139]) ).
tff(f155,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(cnf_transformation,[],[f137]) ).
tff(f163,plain,
! [X0: bool,X1: state] : ( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
inference(cnf_transformation,[],[f111]) ).
tff(f164,plain,
! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0 ),
inference(cnf_transformation,[],[f112]) ).
tff(f165,plain,
! [X2: fun_a_fun_state_bool,X3: fun_a_fun_state_bool,X0: fun_Ho1877127206a_bool,X1: com] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK0(X0,X1,X2,X3)),sK1(X0,X1,X2,X3)))
| hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X1,X2)),bot_bo1208640912a_bool))) ),
inference(cnf_transformation,[],[f149]) ).
tff(f188,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f104]) ).
tff(f1020,plain,
hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),sK0(g,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)),cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)))),sK1(g,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)),cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse))))),
inference(unit_resulting_resolution,[],[f165,f155]) ).
tff(f1024,plain,
hBOOL(hAPP_state_bool(cOMBK_bool_state(fFalse),sK1(g,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)),cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse))))),
inference(forward_demodulation,[],[f1020,f164]) ).
tff(f1025,plain,
hBOOL(fFalse),
inference(forward_demodulation,[],[f1024,f163]) ).
tff(f1026,plain,
$false,
inference(forward_subsumption_resolution,[],[f1025,f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW470_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.15 % Computer : n012.cluster.edu
% 0.04/0.15 % Model : x86_64 x86_64
% 0.04/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.15 % Memory : 8046.5625MB
% 0.04/0.15 % OS : Linux 6.8.0-71-generic
% 0.04/0.15 % CPULimit : 300
% 0.04/0.15 % WCLimit : 300
% 0.04/0.15 % DateTime : Mon Sep 28 14:00:49 UTC 2026
% 0.04/0.15 % CPUTime :
% 0.04/0.15 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.18 Running first-order theorem proving
% 0.04/0.18 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.79/1.27 % (3388955)Detected formulas, will run a generic FOF schedule.
% 4.79/1.27 % (3388966)dis-21_1_sil=8000:lcm=predicate:random_seed=1418208447:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.79/1.27 % (3388962)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3458815784:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.79/1.27 % (3388964)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3353313984:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.79/1.27 % (3388961)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=544000585:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.79/1.27 % (3388963)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=256457776:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.79/1.27 % (3388965)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4201987466:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.79/1.27 % (3388960)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1758447487:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.79/1.27 % (3388963)Refutation not found, incomplete strategy
% 4.79/1.27 % (3388963)------------------------------
% 4.79/1.27 % (3388963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.27 % (3388963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.27 % (3388963)CaDiCaL version: 2.1.3
% 4.79/1.27 % (3388963)Termination reason: Refutation not found, incomplete strategy
% 4.79/1.27 % (3388963)Time elapsed: 0.003 s
% 4.79/1.27 % (3388963)Peak memory usage: 88 MB
% 4.79/1.27 % (3388963)Instructions burned: 4 (million)
% 4.79/1.27 % (3388966)Instruction limit reached!
% 4.79/1.27 % (3388966)------------------------------
% 4.79/1.27 % (3388966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.27 % (3388966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.27 % (3388966)CaDiCaL version: 2.1.3
% 4.79/1.27 % (3388966)Termination reason: Instruction limit
% 4.79/1.27 % (3388966)Termination phase: Saturation
% 4.79/1.27 % (3388966)Time elapsed: 0.053 s
% 4.79/1.27 % (3388966)Peak memory usage: 88 MB
% 4.79/1.27 % (3388966)Instructions burned: 129 (million)
% 4.79/1.27 % (3388964)Instruction limit reached!
% 4.79/1.27 % (3388964)------------------------------
% 4.79/1.27 % (3388964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.27 % (3388964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.27 % (3388964)CaDiCaL version: 2.1.3
% 4.79/1.27 % (3388964)Termination reason: Instruction limit
% 4.79/1.27 % (3388964)Termination phase: Saturation
% 4.79/1.27 % (3388964)Time elapsed: 0.047 s
% 4.79/1.27 % (3388964)Peak memory usage: 88 MB
% 4.79/1.27 % (3388964)Instructions burned: 122 (million)
% 4.79/1.27 % (3388965)Instruction limit reached!
% 4.79/1.27 % (3388965)------------------------------
% 4.79/1.27 % (3388965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.27 % (3388965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.27 % (3388965)CaDiCaL version: 2.1.3
% 4.79/1.27 % (3388965)Termination reason: Instruction limit
% 4.79/1.27 % (3388965)Termination phase: Saturation
% 4.79/1.27 % (3388965)Time elapsed: 0.078 s
% 4.79/1.27 % (3388965)Peak memory usage: 90 MB
% 4.79/1.27 % (3388965)Instructions burned: 139 (million)
% 4.79/1.27 % (3388974)lrs+10_1_sil=8000:sp=occurrence:random_seed=591843035:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.79/1.27 % (3388963)------------------------------
% 4.79/1.27 % (3388963)------------------------------
% 4.79/1.27 % (3388975)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3503513047:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.79/1.27 % (3388974)Instruction limit reached!
% 4.79/1.27 % (3388974)------------------------------
% 4.79/1.27 % (3388974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.27 % (3388974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.27 % (3388974)CaDiCaL version: 2.1.3
% 4.79/1.27 % (3388974)Termination reason: Instruction limit
% 4.79/1.27 % (3388974)Termination phase: Saturation
% 4.79/1.27 % (3388974)Time elapsed: 0.103 s
% 4.79/1.27 % (3388974)Peak memory usage: 90 MB
% 4.79/1.27 % (3388974)Instructions burned: 285 (million)
% 4.79/1.27 % (3388975)First to succeed.
% 4.79/1.27 % (3388975)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3388955"
% 4.79/1.27 % (3388976)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1815884196:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.79/1.27 % (3388976)Also succeeded, but the first one will report.
% 4.79/1.27 % (3388979)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=452073175:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.79/1.27 % (3388981)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1658330963:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.79/1.27 % (3388979)Also succeeded, but the first one will report.
% 4.79/1.27 % (3388981)Also succeeded, but the first one will report.
% 4.79/1.27 % (3388975)Refutation found. Thanks to Tanya!
% 4.79/1.27 % SZS status Theorem for theBenchmark
% 4.79/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 5.53/1.40 % (3388975)------------------------------
% 5.53/1.40 % (3388975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.40 % (3388975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.40 % (3388975)CaDiCaL version: 2.1.3
% 5.53/1.40 % (3388975)Termination reason: Refutation
% 5.53/1.40 % (3388975)Time elapsed: 0.019 s
% 5.53/1.40 % (3388975)Peak memory usage: 89 MB
% 5.53/1.40 % (3388975)Instructions burned: 32 (million)
% 5.53/1.40 % (3388975)------------------------------
% 5.53/1.40 % (3388975)------------------------------
% 5.53/1.40 % (3388955)Success in time 0.731 s
% 5.53/1.40 % Vampire exiting
%------------------------------------------------------------------------------