%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP202^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 : Wed Sep 30 08:08:48 AM UTC 2026
% Result : Theorem 1.62s 0.65s
% Output : Refutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 153 ( 152 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1305 ( 39 ~; 29 |; 9 &;1204 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 31 ( 30 usr)
% Number of type conns : 477 ( 477 >; 0 *; 0 +; 0 <<)
% Number of symbols : 154 ( 152 usr; 13 con; 0-8 aty)
% Number of variables : 549 ( 531 ^; 18 !; 0 ?; 549 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1699626005le_trm: $tType ).
thf(type_def_6,type,
set_Pr720454634n_game: $tType ).
thf(type_def_7,type,
produc1418842292n_game: $tType ).
thf(type_def_8,type,
set_Pr739694057n_game: $tType ).
thf(type_def_9,type,
produc62062515n_game: $tType ).
thf(type_def_10,type,
set_Pr79606376n_game: $tType ).
thf(type_def_11,type,
produc799602994n_game: $tType ).
thf(type_def_12,type,
produc1016592119n_game: $tType ).
thf(type_def_13,type,
produc1739631244on_fml: $tType ).
thf(type_def_14,type,
produc1072747943on_trm: $tType ).
thf(type_def_15,type,
produc46605351on_fml: $tType ).
thf(type_def_16,type,
set_Pr943832262on_trm: $tType ).
thf(type_def_17,type,
set_Pr1235432374le_trm: $tType ).
thf(type_def_18,type,
produc1024976764on_trm: $tType ).
thf(type_def_19,type,
produc1408538418on_fml: $tType ).
thf(type_def_20,type,
produc464795408on_trm: $tType ).
thf(type_def_21,type,
produc833882726rp_trm: $tType ).
thf(type_def_22,type,
produc1367888000le_trm: $tType ).
thf(type_def_23,type,
option_game: $tType ).
thf(type_def_24,type,
option_trm: $tType ).
thf(type_def_25,type,
option_fml: $tType ).
thf(type_def_26,type,
denotational_interp: $tType ).
thf(type_def_27,type,
set_variable: $tType ).
thf(type_def_28,type,
set_char: $tType ).
thf(type_def_29,type,
variable: $tType ).
thf(type_def_30,type,
game: $tType ).
thf(type_def_31,type,
char: $tType ).
thf(type_def_32,type,
trm: $tType ).
thf(type_def_33,type,
fml: $tType ).
thf(type_def_34,type,
real: $tType ).
thf(type_def_35,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_option_trm: $o > option_trm > option_trm > option_trm ).
thf(func_def_1,type,
inf_in243546115game_o: ( ( char > option_fml ) > ( char > option_game ) > $o ) > ( ( char > option_fml ) > ( char > option_game ) > $o ) > ( char > option_fml ) > ( char > option_game ) > $o ).
thf(func_def_2,type,
inf_in1072207554game_o: ( ( char > option_trm ) > produc799602994n_game > $o ) > ( ( char > option_trm ) > produc799602994n_game > $o ) > ( char > option_trm ) > produc799602994n_game > $o ).
thf(func_def_3,type,
inf_in1920662529game_o: ( ( char > option_trm ) > produc62062515n_game > $o ) > ( ( char > option_trm ) > produc62062515n_game > $o ) > ( char > option_trm ) > produc62062515n_game > $o ).
thf(func_def_4,type,
inf_in185389155_trm_o: ( set_variable > trm > $o ) > ( set_variable > trm > $o ) > set_variable > trm > $o ).
thf(func_def_5,type,
inf_in605351507_trm_o: ( char > option_trm > $o ) > ( char > option_trm > $o ) > char > option_trm > $o ).
thf(func_def_6,type,
inf_inf_char_o: ( char > $o ) > ( char > $o ) > char > $o ).
thf(func_def_7,type,
inf_inf_variable_o: ( variable > $o ) > ( variable > $o ) > variable > $o ).
thf(func_def_8,type,
inf_in1391117306n_game: set_Pr79606376n_game > set_Pr79606376n_game > set_Pr79606376n_game ).
thf(func_def_9,type,
inf_in69689467n_game: set_Pr739694057n_game > set_Pr739694057n_game > set_Pr739694057n_game ).
thf(func_def_10,type,
inf_in360367996n_game: set_Pr720454634n_game > set_Pr720454634n_game > set_Pr720454634n_game ).
thf(func_def_11,type,
inf_in906025800le_trm: set_Pr1235432374le_trm > set_Pr1235432374le_trm > set_Pr1235432374le_trm ).
thf(func_def_12,type,
inf_in1243659096on_trm: set_Pr943832262on_trm > set_Pr943832262on_trm > set_Pr943832262on_trm ).
thf(func_def_13,type,
inf_inf_set_char: set_char > set_char > set_char ).
thf(func_def_14,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(func_def_15,type,
combine_options_fml: ( fml > fml > fml ) > option_fml > option_fml > option_fml ).
thf(func_def_16,type,
combine_options_game: ( game > game > game ) > option_game > option_game > option_game ).
thf(func_def_17,type,
combine_options_trm: ( trm > trm > trm ) > option_trm > option_trm > option_trm ).
thf(func_def_18,type,
none_fml: option_fml ).
thf(func_def_19,type,
none_game: option_game ).
thf(func_def_20,type,
none_trm: option_trm ).
thf(func_def_21,type,
some_fml: fml > option_fml ).
thf(func_def_22,type,
some_game: game > option_game ).
thf(func_def_23,type,
some_trm: trm > option_trm ).
thf(func_def_24,type,
case_option_o_fml: $o > ( fml > $o ) > option_fml > $o ).
thf(func_def_25,type,
case_option_o_game: $o > ( game > $o ) > option_game > $o ).
thf(func_def_26,type,
case_option_o_trm: $o > ( trm > $o ) > option_trm > $o ).
thf(func_def_27,type,
case_o209804997ml_fml: option_fml > ( fml > option_fml ) > option_fml > option_fml ).
thf(func_def_28,type,
case_o696458451e_game: option_game > ( game > option_game ) > option_game > option_game ).
thf(func_def_29,type,
case_o487727941rm_trm: option_trm > ( trm > option_trm ) > option_trm > option_trm ).
thf(func_def_30,type,
the_fml: option_fml > fml ).
thf(func_def_31,type,
the_game: option_game > game ).
thf(func_def_32,type,
the_trm: option_trm > trm ).
thf(func_def_33,type,
bot_bo1895715589game_o: ( char > option_fml ) > ( char > option_game ) > $o ).
thf(func_def_34,type,
bot_bo1417568964game_o: ( char > option_trm ) > produc799602994n_game > $o ).
thf(func_def_35,type,
bot_bot_char_o: char > $o ).
thf(func_def_36,type,
bot_bot_variable_o: variable > $o ).
thf(func_def_37,type,
bot_bo456479484n_game: set_Pr79606376n_game ).
thf(func_def_38,type,
bot_bo1302831229n_game: set_Pr739694057n_game ).
thf(func_def_39,type,
bot_bot_set_char: set_char ).
thf(func_def_40,type,
bot_bot_set_variable: set_variable ).
thf(func_def_41,type,
produc123610156n_game: ( char > option_fml ) > ( char > option_game ) > produc799602994n_game ).
thf(func_def_42,type,
produc1048060077n_game: ( char > option_trm ) > produc799602994n_game > produc62062515n_game ).
thf(func_def_43,type,
produc1618635950n_game: ( char > option_trm ) > produc62062515n_game > produc1418842292n_game ).
thf(func_def_44,type,
produc1132922070rp_trm: denotational_interp > trm > produc833882726rp_trm ).
thf(func_def_45,type,
produc909629463on_fml: option_fml > option_fml > produc46605351on_fml ).
thf(func_def_46,type,
produc2124676926on_fml: option_game > option_fml > produc1739631244on_fml ).
thf(func_def_47,type,
produc1111617711n_game: option_game > option_game > produc1016592119n_game ).
thf(func_def_48,type,
produc709594775on_trm: option_trm > option_trm > produc1072747943on_trm ).
thf(func_def_49,type,
produc2015636557le_trm: produc1418842292n_game > produc1367888000le_trm > produc1699626005le_trm ).
thf(func_def_50,type,
produc1482344242le_trm: set_variable > trm > produc1367888000le_trm ).
thf(func_def_51,type,
produc1500300866on_trm: char > option_trm > produc464795408on_trm ).
thf(func_def_52,type,
produc1205977188on_fml: variable > option_fml > produc1408538418on_fml ).
thf(func_def_53,type,
produc1743721902on_trm: variable > option_trm > produc1024976764on_trm ).
thf(func_def_54,type,
produc1598111045on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
thf(func_def_55,type,
produc1214549391on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
thf(func_def_56,type,
produc377919108on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
thf(func_def_57,type,
produc2141841102on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
thf(func_def_58,type,
produc1278328899on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
thf(func_def_59,type,
produc1420172399on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
thf(func_def_60,type,
produc1036610745on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
thf(func_def_61,type,
produc159680767game_o: ( ( char > option_fml ) > ( char > option_game ) > $o ) > produc799602994n_game > $o ).
thf(func_def_62,type,
produc347802313on_fml: ( ( char > option_fml ) > ( char > option_game ) > option_fml ) > produc799602994n_game > option_fml ).
thf(func_def_63,type,
produc885547027on_trm: ( ( char > option_fml ) > ( char > option_game ) > option_trm ) > produc799602994n_game > option_trm ).
thf(func_def_64,type,
produc629249376t_char: ( ( char > option_fml ) > ( char > option_game ) > set_char ) > produc799602994n_game > set_char ).
thf(func_def_65,type,
produc1615133358on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
thf(func_def_66,type,
produc1231571704on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
thf(func_def_67,type,
produc1868740670game_o: ( ( char > option_trm ) > produc799602994n_game > $o ) > produc62062515n_game > $o ).
thf(func_def_68,type,
produc154833544on_fml: ( ( char > option_trm ) > produc799602994n_game > option_fml ) > produc62062515n_game > option_fml ).
thf(func_def_69,type,
produc692578258on_trm: ( ( char > option_trm ) > produc799602994n_game > option_trm ) > produc62062515n_game > option_trm ).
thf(func_def_70,type,
produc1554403041t_char: ( ( char > option_trm ) > produc799602994n_game > set_char ) > produc62062515n_game > set_char ).
thf(func_def_71,type,
produc1250175341on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
thf(func_def_72,type,
produc866613687on_trm: ( ( char > option_trm ) > produc62062515n_game > char > option_trm ) > produc1418842292n_game > char > option_trm ).
thf(func_def_73,type,
produc1707653117game_o: ( ( char > option_trm ) > produc62062515n_game > $o ) > produc1418842292n_game > $o ).
thf(func_def_74,type,
produc1499310791on_fml: ( ( char > option_trm ) > produc62062515n_game > option_fml ) > produc1418842292n_game > option_fml ).
thf(func_def_75,type,
produc1002100706t_char: ( ( char > option_trm ) > produc62062515n_game > set_char ) > produc1418842292n_game > set_char ).
thf(func_def_76,type,
produc82209913_trm_o: ( set_variable > trm > $o ) > produc1367888000le_trm > $o ).
thf(func_def_77,type,
produc836445798t_char: ( set_variable > trm > set_char ) > produc1367888000le_trm > set_char ).
thf(func_def_78,type,
produc584666985_trm_o: ( char > option_trm > $o ) > produc464795408on_trm > $o ).
thf(func_def_79,type,
produc33263478t_char: ( char > option_trm > set_char ) > produc464795408on_trm > set_char ).
thf(func_def_80,type,
collect_char: ( char > $o ) > set_char ).
thf(func_def_81,type,
collect_variable: ( variable > $o ) > set_variable ).
thf(func_def_82,type,
is_empty_variable: set_variable > $o ).
thf(func_def_83,type,
static_FVF: fml > set_variable ).
thf(func_def_84,type,
static_FVT: trm > set_variable ).
thf(func_def_85,type,
char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).
thf(func_def_86,type,
geq: trm > trm > fml ).
thf(func_def_87,type,
pred: char > trm > fml ).
thf(func_def_88,type,
const: char > trm ).
thf(func_def_89,type,
differential: trm > trm ).
thf(func_def_90,type,
func: char > trm > trm ).
thf(func_def_91,type,
number: real > trm ).
thf(func_def_92,type,
plus: trm > trm > trm ).
thf(func_def_93,type,
times: trm > trm > trm ).
thf(func_def_94,type,
var: variable > trm ).
thf(func_def_95,type,
uSubst716837505ntialo: option_trm > option_trm ).
thf(func_def_96,type,
uSubst152838031e_Geqo: option_trm > option_trm > option_fml ).
thf(func_def_97,type,
uSubst1304144938qo_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_98,type,
uSubst141955042_Pluso: option_trm > option_trm > option_trm ).
thf(func_def_99,type,
uSubst691094423so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_100,type,
uSubst918876924Timeso: option_trm > option_trm > option_trm ).
thf(func_def_101,type,
uSubst924844285so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
thf(func_def_102,type,
uSubst_Mirabelle_dot: trm ).
thf(func_def_103,type,
uSubst1408967625substt: trm > produc1418842292n_game ).
thf(func_def_104,type,
uSubst1559070963pconst: produc1418842292n_game > set_variable > char > option_trm ).
thf(func_def_105,type,
uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).
thf(func_def_106,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(func_def_107,type,
uSubst1917534215pt_rel: produc1699626005le_trm > produc1699626005le_trm > $o ).
thf(func_def_108,type,
accp_P758790320on_trm: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm > $o ).
thf(func_def_109,type,
accp_P1877119646le_trm: ( produc1699626005le_trm > produc1699626005le_trm > $o ) > produc1699626005le_trm > $o ).
thf(func_def_110,type,
member849814089n_game: produc799602994n_game > set_Pr79606376n_game > $o ).
thf(func_def_111,type,
member774167626n_game: produc62062515n_game > set_Pr739694057n_game > $o ).
thf(func_def_112,type,
member1940201675n_game: produc1418842292n_game > set_Pr720454634n_game > $o ).
thf(func_def_113,type,
member2122665623le_trm: produc1367888000le_trm > set_Pr1235432374le_trm > $o ).
thf(func_def_114,type,
member694524327on_trm: produc464795408on_trm > set_Pr943832262on_trm > $o ).
thf(func_def_115,type,
member_char: char > set_char > $o ).
thf(func_def_116,type,
member_variable: variable > set_variable > $o ).
thf(func_def_117,type,
u: set_variable ).
thf(func_def_118,type,
v: set_variable ).
thf(func_def_119,type,
sigma: produc1418842292n_game ).
thf(func_def_120,type,
f: char ).
thf(func_def_122,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_123,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_124,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_125,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
vAND: $o > $o > $o ).
thf(func_def_127,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
vNOT: $o > $o ).
thf(func_def_132,type,
vIMP: $o > $o > $o ).
thf(func_def_133,type,
vOR: $o > $o > $o ).
thf(func_def_134,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_135,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_136,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
sP0: ( option_trm > option_trm > $o ) > option_trm > option_trm > $o ).
thf(func_def_138,type,
sK1: ( option_trm > $o ) > trm ).
thf(func_def_139,type,
sK2: ( option_trm > $o ) > trm ).
thf(func_def_140,type,
sK3: ( char > option_trm > $o ) > trm ).
thf(func_def_141,type,
sK4: ( char > option_trm > $o ) > char ).
thf(func_def_142,type,
sK5: ( char > option_trm > $o ) > char ).
thf(func_def_143,type,
sK6: char > produc1418842292n_game > set_variable > trm ).
thf(func_def_144,type,
sK7: ( option_trm > option_trm > $o ) > option_trm > option_trm > trm ).
thf(func_def_145,type,
sK8: ( option_trm > option_trm > $o ) > option_trm > option_trm > trm ).
thf(func_def_146,type,
sK9: option_trm > trm ).
thf(func_def_147,type,
sK10: option_trm > trm ).
thf(func_def_148,type,
sK11: char > produc1418842292n_game > set_variable > trm ).
thf(func_def_149,type,
sK12: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_150,type,
sK13: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_151,type,
sK14: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_152,type,
sK15: ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_153,type,
sK16: produc1418842292n_game > set_variable > char > trm ).
thf(f4,axiom,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_f3) ).
thf(f5,axiom,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062) ).
thf(f6,axiom,
( uSubst1559070963pconst
= ( ^ [X0: produc1418842292n_game,X1: set_variable,X2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ X2 ) )
@ ^ [X3: trm] :
( if_option_trm
@ ( ( inf_inf_set_variable @ ( static_FVT @ X3 ) @ X1 )
= bot_bot_set_variable )
@ ( some_trm @ X3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ X0
@ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_usappconst__def) ).
thf(f8,axiom,
! [X2: char,X1: set_variable,X0: produc1418842292n_game] :
( ( uSubst516392818stappt @ X0 @ X1 @ ( const @ X2 ) )
= ( uSubst1559070963pconst @ X0 @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_usubstappt_Osimps_I3_J) ).
thf(f10,axiom,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) )
=> ( ( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ v ) )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062) ).
thf(f11,axiom,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ u )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable )
=> ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AU_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AU_Af_092_060close_062) ).
thf(f44,axiom,
( case_o487727941rm_trm
= ( ^ [X0: option_trm,X1: trm > option_trm,X2: option_trm] : ( if_option_trm @ ( X2 = none_trm ) @ X0 @ ( X1 @ ( the_trm @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_option_Ocase__eq__if) ).
thf(f356,conjecture,
( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f370,plain,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ),
inference(rectify,[],[f4]) ).
thf(f371,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) ) ),
inference(fool_elimination,[],[f370]) ).
thf(f391,plain,
~ ( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) ) ),
inference(rectify,[],[f357]) ).
thf(f392,plain,
~ ( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(fool_elimination,[],[f391]) ).
thf(f545,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f ) )
=> ( ( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ v ) )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X8: char > option_trm] :
( produc1231571704on_trm
@ ^ [X9: char > option_trm] :
( produc1036610745on_trm
@ ^ [X10: char > option_fml,X11: char > option_game] : X8 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable )
=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X12: char > option_trm] :
( produc1231571704on_trm
@ ^ [X13: char > option_trm] :
( produc1036610745on_trm
@ ^ [X14: char > option_fml,X15: char > option_game] : X12 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ),
inference(rectify,[],[f10]) ).
thf(f546,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( ( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
=> ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) ) ) ),
inference(fool_elimination,[],[f545]) ).
thf(f569,plain,
( uSubst1559070963pconst
= ( ^ [X0: produc1418842292n_game,X1: set_variable,X2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ X2 ) )
@ ^ [X3: trm] :
( if_option_trm
@ ( ( inf_inf_set_variable @ ( static_FVT @ X3 ) @ X1 )
= bot_bot_set_variable )
@ ( some_trm @ X3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ X0
@ X2 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f570,plain,
( uSubst1559070963pconst
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) ) ) ),
inference(fool_elimination,[],[f569]) ).
thf(f645,plain,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(rectify,[],[f5]) ).
thf(f646,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(fool_elimination,[],[f645]) ).
thf(f647,plain,
( case_o487727941rm_trm
= ( ^ [X0: option_trm,X1: trm > option_trm,X2: option_trm] : ( if_option_trm @ ( X2 = none_trm ) @ X0 @ ( X1 @ ( the_trm @ X2 ) ) ) ) ),
inference(rectify,[],[f44]) ).
thf(f648,plain,
( case_o487727941rm_trm
= ( ^ [Y0: option_trm,Y1: trm > option_trm,Y2: option_trm] : ( if_option_trm @ ( none_trm = Y2 ) @ Y0 @ ( Y1 @ ( the_trm @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f647]) ).
thf(f667,plain,
( ( ( produc866613687on_trm
@ ^ [X0: char > option_trm] :
( produc1231571704on_trm
@ ^ [X1: char > option_trm] :
( produc1036610745on_trm
@ ^ [X2: char > option_fml,X3: char > option_game] : X0 ) )
@ sigma
@ f )
!= none_trm )
=> ( ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X4: char > option_trm] :
( produc1231571704on_trm
@ ^ [X5: char > option_trm] :
( produc1036610745on_trm
@ ^ [X6: char > option_fml,X7: char > option_game] : X4 ) )
@ sigma
@ f ) ) )
@ u )
!= bot_bot_set_variable )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X8: char > option_trm] :
( produc1231571704on_trm
@ ^ [X9: char > option_trm] :
( produc1036610745on_trm
@ ^ [X10: char > option_fml,X11: char > option_game] : X8 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable )
=> ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X12: char > option_trm] :
( produc1231571704on_trm
@ ^ [X13: char > option_trm] :
( produc1036610745on_trm
@ ^ [X14: char > option_fml,X15: char > option_game] : X12 ) )
@ sigma
@ f ) ) ) ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f668,plain,
( ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
=> ( ( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
=> ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) )
& ( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ),
inference(fool_elimination,[],[f667]) ).
thf(f768,plain,
! [X0: char,X2: produc1418842292n_game,X1: set_variable] :
( ( uSubst516392818stappt @ X2 @ X1 @ ( const @ X0 ) )
= ( uSubst1559070963pconst @ X2 @ X1 @ X0 ) ),
inference(rectify,[],[f8]) ).
thf(f784,plain,
( ( ( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
& ( ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(ennf_transformation,[],[f668]) ).
thf(f789,plain,
( ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(ennf_transformation,[],[f646]) ).
thf(f790,plain,
( ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) ) ),
inference(ennf_transformation,[],[f371]) ).
thf(f791,plain,
( ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( ( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
& ( ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ) ) ),
inference(ennf_transformation,[],[f546]) ).
thf(f800,plain,
( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst1559070963pconst @ sigma @ v @ f ) )
& ( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(ennf_transformation,[],[f392]) ).
thf(f832,plain,
! [X0: char,X1: produc1418842292n_game,X2: set_variable] :
( ( uSubst516392818stappt @ X1 @ X2 @ ( const @ X0 ) )
= ( uSubst1559070963pconst @ X1 @ X2 @ X0 ) ),
inference(rectify,[],[f768]) ).
thf(f863,plain,
( ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(cnf_transformation,[],[f784]) ).
thf(f867,plain,
( ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(cnf_transformation,[],[f791]) ).
thf(f884,plain,
( case_o487727941rm_trm
= ( ^ [Y0: option_trm,Y1: trm > option_trm,Y2: option_trm] : ( if_option_trm @ ( none_trm = Y2 ) @ Y0 @ ( Y1 @ ( the_trm @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f648]) ).
thf(f886,plain,
! [X2: set_variable,X0: char,X1: produc1418842292n_game] :
( ( uSubst516392818stappt @ X1 @ X2 @ ( const @ X0 ) )
= ( uSubst1559070963pconst @ X1 @ X2 @ X0 ) ),
inference(cnf_transformation,[],[f832]) ).
thf(f887,plain,
( none_trm
!= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ),
inference(cnf_transformation,[],[f800]) ).
thf(f888,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst1559070963pconst @ sigma @ v @ f ) ),
inference(cnf_transformation,[],[f800]) ).
thf(f913,plain,
( ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(cnf_transformation,[],[f789]) ).
thf(f935,plain,
( uSubst1559070963pconst
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( case_o487727941rm_trm @ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) ) ) ),
inference(cnf_transformation,[],[f570]) ).
thf(f936,plain,
( ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(cnf_transformation,[],[f790]) ).
thf(f947,plain,
( uSubst1559070963pconst
= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) ) ) ),
inference(definition_unfolding,[],[f935,f884]) ).
thf(f949,plain,
( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ sigma
@ u
@ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ),
inference(definition_unfolding,[],[f863,f947]) ).
thf(f951,plain,
( ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ sigma
@ v
@ f )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) ),
inference(definition_unfolding,[],[f867,f947]) ).
thf(f954,plain,
! [X2: set_variable,X0: char,X1: produc1418842292n_game] :
( ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ X1
@ X2
@ X0 )
= ( uSubst516392818stappt @ X1 @ X2 @ ( const @ X0 ) ) ),
inference(definition_unfolding,[],[f886,f947]) ).
thf(f955,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( ^ [Y0: produc1418842292n_game,Y1: set_variable,Y2: char] :
( ^ [Y3: option_trm,Y4: trm > option_trm,Y5: option_trm] : ( if_option_trm @ ( none_trm = Y5 ) @ Y3 @ ( Y4 @ ( the_trm @ Y5 ) ) )
@ ( some_trm @ ( const @ Y2 ) )
@ ^ [Y3: trm] :
( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable @ ( static_FVT @ Y3 ) @ Y1 ) )
@ ( some_trm @ Y3 )
@ none_trm )
@ ( produc866613687on_trm
@ ^ [Y3: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y4: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y5: char > option_fml,Y6: char > option_game] : Y3 ) )
@ Y0
@ Y2 ) )
@ sigma
@ v
@ f ) ),
inference(definition_unfolding,[],[f888,f947]) ).
thf(f978,plain,
( ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ none_trm ) ) )
| ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(beta-eta_normalization,[],[f951]) ).
thf(f994,plain,
! [X2: set_variable,X0: char,X1: produc1418842292n_game] :
( ( uSubst516392818stappt @ X1 @ X2 @ ( const @ X0 ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ X1
@ X0 ) )
@ ( some_trm @ ( const @ X0 ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ X1
@ X0 ) ) )
@ X2 ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ X1
@ X0 ) ) )
@ none_trm ) ) ),
inference(beta-eta_normalization,[],[f954]) ).
thf(f1013,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ none_trm ) ) ),
inference(beta-eta_normalization,[],[f955]) ).
thf(f1015,plain,
( ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ none_trm ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) ),
inference(beta-eta_normalization,[],[f949]) ).
thf(f1021,plain,
( ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
= ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ none_trm ) ) )
| ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ) ),
inference(forward_subsumption_resolution,[],[f978,f887]) ).
thf(f1023,plain,
( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) ),
inference(forward_subsumption_resolution,[],[f936,f887]) ).
thf(f1025,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
!= ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) ) ),
inference(forward_demodulation,[],[f1013,f994]) ).
thf(f1026,plain,
( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) ),
inference(forward_subsumption_resolution,[],[f913,f887]) ).
thf(f1027,plain,
( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
| ( ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ none_trm ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) ),
inference(forward_subsumption_resolution,[],[f1015,f887]) ).
thf(f1029,plain,
( ( bot_bot_set_variable
!= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ v ) )
| ( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ) ),
inference(forward_demodulation,[],[f1021,f994]) ).
thf(f1033,plain,
( ( if_option_trm
@ ( none_trm
= ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) )
@ ( some_trm @ ( const @ f ) )
@ ( if_option_trm
@ ( bot_bot_set_variable
= ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ u ) )
@ ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) )
@ none_trm ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ),
inference(forward_subsumption_resolution,[],[f1027,f1023]) ).
thf(f1034,plain,
( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ),
inference(forward_subsumption_resolution,[],[f1029,f1026]) ).
thf(f1036,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [Y0: char > option_trm] :
( produc1231571704on_trm
@ ^ [Y1: char > option_trm] :
( produc1036610745on_trm
@ ^ [Y2: char > option_fml,Y3: char > option_game] : Y0 ) )
@ sigma
@ f ) ) ) ),
inference(forward_demodulation,[],[f1033,f994]) ).
thf(f1038,plain,
( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) ) ),
inference(forward_demodulation,[],[f1036,f1034]) ).
thf(f1039,plain,
$false,
inference(forward_subsumption_resolution,[],[f1038,f1025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP202^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:11:54 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/0.47 % (3671430)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.87/0.47 % (3671452)lrs+10_16_si=on:nwc=1.5:random_seed=2369743204:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.87/0.47 % (3671457)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.87/0.47 % (3671457)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.87/0.47 % (3671452)Instruction limit reached!
% 0.87/0.47 % (3671452)------------------------------
% 0.87/0.47 % (3671452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (3671452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (3671452)CaDiCaL version: 2.1.3
% 0.87/0.47 % (3671452)Termination reason: Instruction limit
% 0.87/0.47 % (3671452)Termination phase: shuffling
% 0.87/0.47 % (3671452)Time elapsed: 0.005 s
% 0.87/0.47 % (3671452)Peak memory usage: 10 MB
% 0.87/0.47 % (3671452)Instructions burned: 19 (million)
% 0.87/0.47 % (3671451)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=432896422:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.87/0.47 % (3671453)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2588300296:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.87/0.47 % (3671454)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2778829986:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.87/0.47 % (3671455)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3060992733:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.87/0.47 % (3671456)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2356646581:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.87/0.47 % (3671457)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3256479726:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.87/0.47 % (3671453)Instruction limit reached!
% 0.87/0.47 % (3671453)------------------------------
% 0.87/0.47 % (3671453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (3671453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (3671453)CaDiCaL version: 2.1.3
% 0.87/0.47 % (3671453)Termination reason: Instruction limit
% 0.87/0.47 % (3671453)Termination phase: shuffling
% 0.87/0.47 % (3671453)Time elapsed: 0.003 s
% 0.87/0.47 % (3671453)Peak memory usage: 10 MB
% 0.87/0.47 % (3671453)Instructions burned: 5 (million)
% 0.87/0.47 % (3671465)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1552181244:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.87/0.47 % (3671465)Instruction limit reached!
% 0.87/0.47 % (3671465)------------------------------
% 0.87/0.47 % (3671465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (3671465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (3671465)CaDiCaL version: 2.1.3
% 0.87/0.47 % (3671465)Termination reason: Instruction limit
% 0.87/0.47 % (3671465)Termination phase: shuffling
% 0.87/0.47 % (3671465)Time elapsed: 0.001 s
% 0.87/0.47 % (3671465)Peak memory usage: 10 MB
% 0.87/0.47 % (3671465)Instructions burned: 3 (million)
% 0.87/0.47 % (3671455)Instruction limit reached!
% 0.87/0.47 % (3671455)------------------------------
% 0.87/0.47 % (3671455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (3671455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (3671455)CaDiCaL version: 2.1.3
% 0.87/0.47 % (3671455)Termination reason: Instruction limit
% 0.87/0.47 % (3671455)Termination phase: shuffling
% 0.87/0.47 % (3671455)Time elapsed: 0.012 s
% 0.87/0.47 % (3671455)Peak memory usage: 10 MB
% 0.87/0.47 % (3671455)Instructions burned: 24 (million)
% 0.87/0.47 % (3671480)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.50 % (3671480)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2762283721:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.87/0.50 % (3671475)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=90786643:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.87/0.50 % (3671480)Instruction limit reached!
% 0.87/0.50 % (3671480)------------------------------
% 0.87/0.50 % (3671480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.50 % (3671480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.50 % (3671480)CaDiCaL version: 2.1.3
% 0.87/0.50 % (3671480)Termination reason: Instruction limit
% 0.87/0.50 % (3671480)Termination phase: shuffling
% 0.87/0.50 % (3671480)Time elapsed: 0.002 s
% 0.87/0.50 % (3671480)Peak memory usage: 10 MB
% 0.87/0.50 % (3671480)Instructions burned: 7 (million)
% 0.87/0.50 % (3671475)Instruction limit reached!
% 0.87/0.50 % (3671475)------------------------------
% 0.87/0.50 % (3671475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.50 % (3671475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.50 % (3671475)CaDiCaL version: 2.1.3
% 0.87/0.50 % (3671475)Termination reason: Instruction limit
% 0.87/0.50 % (3671475)Termination phase: shuffling
% 0.87/0.50 % (3671475)Time elapsed: 0.003 s
% 0.87/0.50 % (3671475)Peak memory usage: 10 MB
% 0.87/0.50 % (3671475)Instructions burned: 5 (million)
% 0.87/0.50 % (3671482)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=432038408:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.87/0.50 % (3671490)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.87/0.50 % (3671490)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.50 % (3671490)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2557431123:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.87/0.50 % (3671456)Instruction limit reached!
% 0.87/0.50 % (3671456)------------------------------
% 0.87/0.50 % (3671456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.50 % (3671456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.50 % (3671456)CaDiCaL version: 2.1.3
% 0.87/0.50 % (3671456)Termination reason: Instruction limit
% 0.87/0.50 % (3671456)Termination phase: Preprocessing 3
% 0.87/0.50 % (3671456)Time elapsed: 0.037 s
% 0.87/0.50 % (3671456)Peak memory usage: 12 MB
% 0.87/0.50 % (3671456)Instructions burned: 75 (million)
% 0.87/0.50 % (3671482)Instruction limit reached!
% 0.87/0.50 % (3671482)------------------------------
% 0.87/0.50 % (3671482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.50 % (3671482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.50 % (3671482)CaDiCaL version: 2.1.3
% 0.87/0.50 % (3671482)Termination reason: Instruction limit
% 0.87/0.50 % (3671482)Termination phase: shuffling
% 0.87/0.50 % (3671482)Time elapsed: 0.006 s
% 0.87/0.50 % (3671482)Peak memory usage: 10 MB
% 0.87/0.50 % (3671482)Instructions burned: 12 (million)
% 0.87/0.50 % (3671490)Instruction limit reached!
% 0.87/0.50 % (3671490)------------------------------
% 0.87/0.50 % (3671490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.50 % (3671490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.50 % (3671490)CaDiCaL version: 2.1.3
% 0.87/0.50 % (3671490)Termination reason: Instruction limit
% 0.87/0.50 % (3671490)Termination phase: shuffling
% 0.87/0.50 % (3671490)Time elapsed: 0.007 s
% 0.87/0.50 % (3671490)Peak memory usage: 10 MB
% 0.87/0.50 % (3671490)Instructions burned: 30 (million)
% 0.87/0.50 % (3671451)Instruction limit reached!
% 0.87/0.50 % (3671451)------------------------------
% 0.87/0.50 % (3671451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.50 % (3671451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.50 % (3671451)CaDiCaL version: 2.1.3
% 0.87/0.50 % (3671451)Termination reason: Instruction limit
% 0.87/0.50 % (3671451)Termination phase: Property scanning
% 0.87/0.55 % (3671451)Time elapsed: 0.043 s
% 0.87/0.55 % (3671451)Peak memory usage: 12 MB
% 0.87/0.55 % (3671451)Instructions burned: 89 (million)
% 0.87/0.55 % (3671492)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2483960147:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.87/0.55 % (3671501)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.87/0.55 % (3671500)lrs+10_1_si=on:cs=on:random_seed=1723450260:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.87/0.55 % (3671501)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2519004313:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.87/0.55 % (3671501)Instruction limit reached!
% 0.87/0.55 % (3671501)------------------------------
% 0.87/0.55 % (3671501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.55 % (3671501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.55 % (3671501)CaDiCaL version: 2.1.3
% 0.87/0.55 % (3671501)Termination reason: Instruction limit
% 0.87/0.55 % (3671501)Termination phase: shuffling
% 0.87/0.55 % (3671501)Time elapsed: 0.002 s
% 0.87/0.55 % (3671501)Peak memory usage: 10 MB
% 0.87/0.55 % (3671501)Instructions burned: 3 (million)
% 0.87/0.55 % (3671504)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3331007683:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.87/0.55 % (3671505)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4048460421:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.87/0.55 % (3671500)Instruction limit reached!
% 0.87/0.55 % (3671500)------------------------------
% 0.87/0.55 % (3671500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.55 % (3671500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.55 % (3671500)CaDiCaL version: 2.1.3
% 0.87/0.55 % (3671500)Termination reason: Instruction limit
% 0.87/0.55 % (3671500)Termination phase: shuffling
% 0.87/0.55 % (3671500)Time elapsed: 0.005 s
% 0.87/0.55 % (3671500)Peak memory usage: 10 MB
% 0.87/0.55 % (3671500)Instructions burned: 10 (million)
% 0.87/0.55 % (3671504)Instruction limit reached!
% 0.87/0.55 % (3671504)------------------------------
% 0.87/0.55 % (3671504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.55 % (3671504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.55 % (3671504)CaDiCaL version: 2.1.3
% 0.87/0.55 % (3671504)Termination reason: Instruction limit
% 0.87/0.55 % (3671504)Termination phase: Property scanning
% 0.87/0.55 % (3671504)Time elapsed: 0.010 s
% 0.87/0.55 % (3671504)Peak memory usage: 11 MB
% 0.87/0.55 % (3671504)Instructions burned: 40 (million)
% 0.87/0.55 % (3671457)Instruction limit reached!
% 0.87/0.55 % (3671457)------------------------------
% 0.87/0.55 % (3671457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.55 % (3671457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.55 % (3671457)CaDiCaL version: 2.1.3
% 0.87/0.55 % (3671457)Termination reason: Instruction limit
% 0.87/0.55 % (3671457)Termination phase: Property scanning
% 0.87/0.55 % (3671457)Time elapsed: 0.070 s
% 0.87/0.55 % (3671457)Peak memory usage: 13 MB
% 0.87/0.55 % (3671457)Instructions burned: 157 (million)
% 0.87/0.55 % (3671527)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1872498109:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.87/0.55 % (3671492)Instruction limit reached!
% 0.87/0.55 % (3671492)------------------------------
% 0.87/0.55 % (3671492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.55 % (3671492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.55 % (3671492)CaDiCaL version: 2.1.3
% 0.87/0.55 % (3671492)Termination reason: Instruction limit
% 0.87/0.55 % (3671492)Termination phase: Property scanning
% 0.87/0.55 % (3671492)Time elapsed: 0.039 s
% 0.87/0.55 % (3671492)Peak memory usage: 11 MB
% 0.87/0.55 % (3671492)Instructions burned: 86 (million)
% 0.87/0.55 % (3671528)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3086663028:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.87/0.57 % (3671522)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4223271911:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.87/0.57 % (3671528)Instruction limit reached!
% 0.87/0.57 % (3671528)------------------------------
% 0.87/0.57 % (3671528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57 % (3671528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57 % (3671528)CaDiCaL version: 2.1.3
% 0.87/0.57 % (3671528)Termination reason: Instruction limit
% 0.87/0.57 % (3671528)Termination phase: shuffling
% 0.87/0.57 % (3671528)Time elapsed: 0.007 s
% 0.87/0.57 % (3671528)Peak memory usage: 10 MB
% 0.87/0.57 % (3671528)Instructions burned: 14 (million)
% 0.87/0.57 % (3671525)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3641366646:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.87/0.57 % (3671535)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1839146549:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.87/0.57 % (3671522)Instruction limit reached!
% 0.87/0.57 % (3671522)------------------------------
% 0.87/0.57 % (3671522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57 % (3671522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57 % (3671522)CaDiCaL version: 2.1.3
% 0.87/0.57 % (3671522)Termination reason: Instruction limit
% 0.87/0.57 % (3671522)Termination phase: shuffling
% 0.87/0.57 % (3671522)Time elapsed: 0.012 s
% 0.87/0.57 % (3671522)Peak memory usage: 11 MB
% 0.87/0.57 % (3671522)Instructions burned: 25 (million)
% 0.87/0.57 % (3671525)Instruction limit reached!
% 0.87/0.57 % (3671525)------------------------------
% 0.87/0.57 % (3671525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57 % (3671525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57 % (3671525)CaDiCaL version: 2.1.3
% 0.87/0.57 % (3671525)Termination reason: Instruction limit
% 0.87/0.57 % (3671525)Termination phase: shuffling
% 0.87/0.57 % (3671525)Time elapsed: 0.007 s
% 0.87/0.57 % (3671525)Peak memory usage: 10 MB
% 0.87/0.57 % (3671525)Instructions burned: 15 (million)
% 0.87/0.57 % (3671535)Instruction limit reached!
% 0.87/0.57 % (3671535)------------------------------
% 0.87/0.57 % (3671535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57 % (3671535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57 % (3671535)CaDiCaL version: 2.1.3
% 0.87/0.57 % (3671535)Termination reason: Instruction limit
% 0.87/0.57 % (3671535)Termination phase: shuffling
% 0.87/0.57 % (3671535)Time elapsed: 0.003 s
% 0.87/0.57 % (3671535)Peak memory usage: 10 MB
% 0.87/0.57 % (3671535)Instructions burned: 4 (million)
% 0.87/0.57 % (3671505)Refutation not found, incomplete strategy
% 0.87/0.57 % (3671505)------------------------------
% 0.87/0.57 % (3671505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57 % (3671505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57 % (3671505)CaDiCaL version: 2.1.3
% 0.87/0.57 % (3671505)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.57 % (3671505)Time elapsed: 0.054 s
% 0.87/0.57 % (3671505)Peak memory usage: 14 MB
% 0.87/0.57 % (3671505)Instructions burned: 115 (million)
% 0.87/0.57 % (3671505)------------------------------
% 0.87/0.57 % (3671505)------------------------------
% 0.87/0.57 % (3671541)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2086997936:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.87/0.57 % (3671548)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.87/0.57 % (3671548)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.87/0.57 % (3671546)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2718067778:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.87/0.57 % (3671547)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3301230097:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.62/0.65 % (3671548)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=415994709:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.62/0.65 % (3671541)Instruction limit reached!
% 1.62/0.65 % (3671541)------------------------------
% 1.62/0.65 % (3671541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671541)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671541)Termination reason: Instruction limit
% 1.62/0.65 % (3671541)Termination phase: shuffling
% 1.62/0.65 % (3671541)Time elapsed: 0.013 s
% 1.62/0.65 % (3671541)Peak memory usage: 10 MB
% 1.62/0.65 % (3671541)Instructions burned: 28 (million)
% 1.62/0.65 % (3671553)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.62/0.65 % (3671548)Instruction limit reached!
% 1.62/0.65 % (3671548)------------------------------
% 1.62/0.65 % (3671548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671548)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671548)Termination reason: Instruction limit
% 1.62/0.65 % (3671548)Termination phase: shuffling
% 1.62/0.65 % (3671548)Time elapsed: 0.007 s
% 1.62/0.65 % (3671548)Peak memory usage: 10 MB
% 1.62/0.65 % (3671548)Instructions burned: 16 (million)
% 1.62/0.65 % (3671546)Instruction limit reached!
% 1.62/0.65 % (3671546)------------------------------
% 1.62/0.65 % (3671546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671546)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671546)Termination reason: Instruction limit
% 1.62/0.65 % (3671546)Termination phase: shuffling
% 1.62/0.65 % (3671546)Time elapsed: 0.011 s
% 1.62/0.65 % (3671546)Peak memory usage: 10 MB
% 1.62/0.65 % (3671546)Instructions burned: 23 (million)
% 1.62/0.65 % (3671553)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=4145864516:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.62/0.65 % (3671553)Instruction limit reached!
% 1.62/0.65 % (3671553)------------------------------
% 1.62/0.65 % (3671553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671553)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671553)Termination reason: Instruction limit
% 1.62/0.65 % (3671553)Termination phase: shuffling
% 1.62/0.65 % (3671553)Time elapsed: 0.005 s
% 1.62/0.65 % (3671553)Peak memory usage: 10 MB
% 1.62/0.65 % (3671553)Instructions burned: 9 (million)
% 1.62/0.65 % (3671547)Instruction limit reached!
% 1.62/0.65 % (3671547)------------------------------
% 1.62/0.65 % (3671547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671547)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671547)Termination reason: Instruction limit
% 1.62/0.65 % (3671547)Termination phase: Preprocessing 3
% 1.62/0.65 % (3671547)Time elapsed: 0.029 s
% 1.62/0.65 % (3671547)Peak memory usage: 12 MB
% 1.62/0.65 % (3671547)Instructions burned: 60 (million)
% 1.62/0.65 % (3671565)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1099360049:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.62/0.65 % (3671561)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1602956636:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.62/0.65 % (3671563)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3852766878:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.62/0.65 % (3671569)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1397214305:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.62/0.65 % (3671565)Instruction limit reached!
% 1.62/0.65 % (3671565)------------------------------
% 1.62/0.65 % (3671565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671565)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671565)Termination reason: Instruction limit
% 1.62/0.65 % (3671565)Termination phase: shuffling
% 1.62/0.65 % (3671565)Time elapsed: 0.011 s
% 1.62/0.65 % (3671565)Peak memory usage: 10 MB
% 1.62/0.65 % (3671565)Instructions burned: 23 (million)
% 1.62/0.65 % (3671563)Instruction limit reached!
% 1.62/0.65 % (3671563)------------------------------
% 1.62/0.65 % (3671563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671563)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671563)Termination reason: Instruction limit
% 1.62/0.65 % (3671563)Termination phase: shuffling
% 1.62/0.65 % (3671563)Time elapsed: 0.008 s
% 1.62/0.65 % (3671563)Peak memory usage: 10 MB
% 1.62/0.65 % (3671563)Instructions burned: 9 (million)
% 1.62/0.65 % (3671569)Instruction limit reached!
% 1.62/0.65 % (3671569)------------------------------
% 1.62/0.65 % (3671569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671569)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671569)Termination reason: Instruction limit
% 1.62/0.65 % (3671569)Termination phase: shuffling
% 1.62/0.65 % (3671569)Time elapsed: 0.010 s
% 1.62/0.65 % (3671569)Peak memory usage: 10 MB
% 1.62/0.65 % (3671569)Instructions burned: 22 (million)
% 1.62/0.65 % (3671571)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2071622929:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.62/0.65 % (3671527)Instruction limit reached!
% 1.62/0.65 % (3671527)------------------------------
% 1.62/0.65 % (3671527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671527)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671527)Termination reason: Instruction limit
% 1.62/0.65 % (3671527)Termination phase: Saturation
% 1.62/0.65 % (3671527)Time elapsed: 0.092 s
% 1.62/0.65 % (3671527)Peak memory usage: 15 MB
% 1.62/0.65 % (3671527)Instructions burned: 328 (million)
% 1.62/0.65 % (3671561)Instruction limit reached!
% 1.62/0.65 % (3671561)------------------------------
% 1.62/0.65 % (3671561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671561)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671561)Termination reason: Instruction limit
% 1.62/0.65 % (3671561)Termination phase: shuffling
% 1.62/0.65 % (3671561)Time elapsed: 0.026 s
% 1.62/0.65 % (3671561)Peak memory usage: 10 MB
% 1.62/0.65 % (3671561)Instructions burned: 31 (million)
% 1.62/0.65 % (3671580)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.62/0.65 % (3671580)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3356139232:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.62/0.65 % (3671576)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1415028617:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.62/0.65 % (3671580)Instruction limit reached!
% 1.62/0.65 % (3671580)------------------------------
% 1.62/0.65 % (3671580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671580)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671580)Termination reason: Instruction limit
% 1.62/0.65 % (3671580)Termination phase: shuffling
% 1.62/0.65 % (3671580)Time elapsed: 0.003 s
% 1.62/0.65 % (3671580)Peak memory usage: 10 MB
% 1.62/0.65 % (3671580)Instructions burned: 12 (million)
% 1.62/0.65 % (3671577)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1553570377:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.62/0.65 % (3671579)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2348027395:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.62/0.65 % (3671586)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1105170016:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.62/0.65 % (3671579)Instruction limit reached!
% 1.62/0.65 % (3671579)------------------------------
% 1.62/0.65 % (3671579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671579)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671579)Termination reason: Instruction limit
% 1.62/0.65 % (3671579)Termination phase: Property scanning
% 1.62/0.65 % (3671579)Time elapsed: 0.021 s
% 1.62/0.65 % (3671579)Peak memory usage: 11 MB
% 1.62/0.65 % (3671579)Instructions burned: 44 (million)
% 1.62/0.65 % (3671581)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2037807299:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.62/0.65 % (3671601)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.62/0.65 % (3671601)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3505853190:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.62/0.65 % (3671601)Instruction limit reached!
% 1.62/0.65 % (3671601)------------------------------
% 1.62/0.65 % (3671601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671601)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671601)Termination reason: Instruction limit
% 1.62/0.65 % (3671601)Termination phase: shuffling
% 1.62/0.65 % (3671601)Time elapsed: 0.003 s
% 1.62/0.65 % (3671601)Peak memory usage: 10 MB
% 1.62/0.65 % (3671601)Instructions burned: 6 (million)
% 1.62/0.65 % (3671586)Instruction limit reached!
% 1.62/0.65 % (3671586)------------------------------
% 1.62/0.65 % (3671586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671586)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671586)Termination reason: Instruction limit
% 1.62/0.65 % (3671586)Termination phase: Saturation
% 1.62/0.65 % (3671586)Time elapsed: 0.041 s
% 1.62/0.65 % (3671586)Peak memory usage: 14 MB
% 1.62/0.65 % (3671586)Instructions burned: 170 (million)
% 1.62/0.65 % (3671608)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1844670720:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 1.62/0.65 % (3671576)Instruction limit reached!
% 1.62/0.65 % (3671576)------------------------------
% 1.62/0.65 % (3671576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671576)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671576)Termination reason: Instruction limit
% 1.62/0.65 % (3671576)Termination phase: Property scanning
% 1.62/0.65 % (3671576)Time elapsed: 0.067 s
% 1.62/0.65 % (3671576)Peak memory usage: 13 MB
% 1.62/0.65 % (3671576)Instructions burned: 143 (million)
% 1.62/0.65 % (3671608)Instruction limit reached!
% 1.62/0.65 % (3671608)------------------------------
% 1.62/0.65 % (3671608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671608)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671608)Termination reason: Instruction limit
% 1.62/0.65 % (3671608)Termination phase: shuffling
% 1.62/0.65 % (3671608)Time elapsed: 0.005 s
% 1.62/0.65 % (3671608)Peak memory usage: 10 MB
% 1.62/0.65 % (3671608)Instructions burned: 20 (million)
% 1.62/0.65 % (3671607)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2087697036:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 1.62/0.65 % (3671581) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3671430-3671581"...
% 1.62/0.65 % (3671616)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=268812093:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 1.62/0.65 % (3671581)...printing done.
% 1.62/0.65 % (3671607)Instruction limit reached!
% 1.62/0.65 % (3671607)------------------------------
% 1.62/0.65 % (3671607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.65 % (3671607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.65 % (3671607)CaDiCaL version: 2.1.3
% 1.62/0.65 % (3671607)Termination reason: Instruction limit
% 1.62/0.65 % (3671607)Termination phase: shuffling
% 1.62/0.65 % (3671607)Time elapsed: 0.011 s
% 1.62/0.65 % (3671607)Peak memory usage: 10 MB
% 1.62/0.65 % (3671607)Instructions burned: 23 (million)
% 1.62/0.65 % (3671581)Refutation found. Thanks to Tanya!
% 1.62/0.65 % SZS status Theorem for theBenchmark
% 1.62/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.65 % (3671581)------------------------------
% 2.32/0.65 % (3671581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.65 % (3671581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.65 % (3671581)CaDiCaL version: 2.1.3
% 2.32/0.65 % (3671581)Termination reason: Refutation
% 2.32/0.65 % (3671581)Time elapsed: 0.048 s
% 2.32/0.65 % (3671581)Peak memory usage: 14 MB
% 2.32/0.65 % (3671581)Instructions burned: 97 (million)
% 2.32/0.65 % (3671430)Success in time 0.343 s
% 2.32/0.65 % Vampire exiting
%------------------------------------------------------------------------------