%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP115^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 08:10:45 AM UTC 2026
% Result : Theorem 1.49s 0.51s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 71 ( 18 unt; 0 typ; 8 def)
% Number of atoms : 373 ( 111 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 414 ( 96 ~; 81 |; 40 &; 184 @)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 149 ( 146 usr; 18 con; 0-4 aty)
% Number of variables : 26 ( 0 sgn 14 !; 12 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_b: $tType ).
thf(type_def_6,type,
set_a: $tType ).
thf(type_def_7,type,
b: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
minus_minus_set_a: set_a > set_a > set_a ).
thf(func_def_1,type,
minus_minus_set_b: set_b > set_b > set_b ).
thf(func_def_2,type,
inf_inf_set_a: set_a > set_a > set_a ).
thf(func_def_3,type,
inf_inf_set_b: set_b > set_b > set_b ).
thf(func_def_4,type,
inf_inf_b: b > b > b ).
thf(func_def_5,type,
lower_464587817at_a_b: a > ( a > b ) > $o ).
thf(func_def_6,type,
bot_bot_a_o: a > $o ).
thf(func_def_7,type,
bot_bot_b_o: b > $o ).
thf(func_def_8,type,
bot_bot_set_a: set_a ).
thf(func_def_9,type,
bot_bot_set_b: set_b ).
thf(func_def_10,type,
bot_bot_b: b ).
thf(func_def_11,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_12,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(func_def_13,type,
ord_less_eq_b: b > b > $o ).
thf(func_def_14,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_15,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_16,type,
insert_a: a > set_a > set_a ).
thf(func_def_17,type,
insert_b: b > set_b > set_b ).
thf(func_def_18,type,
is_empty_a: set_a > $o ).
thf(func_def_19,type,
is_empty_b: set_b > $o ).
thf(func_def_20,type,
is_singleton_a: set_a > $o ).
thf(func_def_21,type,
is_singleton_b: set_b > $o ).
thf(func_def_22,type,
the_elem_a: set_a > a ).
thf(func_def_23,type,
the_elem_b: set_b > b ).
thf(func_def_24,type,
topolo1276428101open_a: set_a > $o ).
thf(func_def_25,type,
topolo1276428102open_b: set_b > $o ).
thf(func_def_26,type,
member_a: a > set_a > $o ).
thf(func_def_27,type,
member_b: b > set_b > $o ).
thf(func_def_28,type,
a2: b ).
thf(func_def_29,type,
f: a > b ).
thf(func_def_30,type,
thesis: $o ).
thf(func_def_31,type,
x0: a ).
thf(func_def_35,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_37,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
vAND: $o > $o > $o ).
thf(func_def_39,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_42,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_43,type,
vIMP: $o > $o > $o ).
thf(func_def_44,type,
vOR: $o > $o > $o ).
thf(func_def_45,type,
sP0: $o ).
thf(func_def_46,type,
sP1: b > b > $o ).
thf(func_def_47,type,
sP2: set_b > $o ).
thf(func_def_48,type,
sP3: b > b > $o ).
thf(func_def_49,type,
sP4: set_b > $o ).
thf(func_def_50,type,
sP5: set_b > $o ).
thf(func_def_51,type,
sP6: set_a > $o ).
thf(func_def_52,type,
sP7: ( b > b > $o ) > $o ).
thf(func_def_53,type,
sP8: b > b > b > $o ).
thf(func_def_54,type,
sP9: b > b > b > $o ).
thf(func_def_55,type,
sP10: b > b > b > $o ).
thf(func_def_56,type,
sP11: b > b > b > $o ).
thf(func_def_57,type,
sP12: b > b > b > $o ).
thf(func_def_58,type,
sP13: ( set_b > set_b > set_b ) > $o ).
thf(func_def_59,type,
sP14: ( set_a > set_a > set_a ) > $o ).
thf(func_def_60,type,
sP15: ( b > b > b ) > $o ).
thf(func_def_61,type,
sK16: set_b ).
thf(func_def_62,type,
sK17: set_b ).
thf(func_def_63,type,
sK18: b > b > set_b ).
thf(func_def_64,type,
sK19: b > b > set_b ).
thf(func_def_65,type,
sK20: set_b > set_a ).
thf(func_def_66,type,
sK21: set_b > b ).
thf(func_def_67,type,
sK22: set_a > a ).
thf(func_def_68,type,
sK23: b > b > set_b ).
thf(func_def_69,type,
sK24: b > b > set_b ).
thf(func_def_70,type,
sK25: set_b > set_b > b ).
thf(func_def_71,type,
sK26: set_a > set_a > a ).
thf(func_def_72,type,
sK27: set_b > set_a ).
thf(func_def_73,type,
sK28: set_b > b ).
thf(func_def_74,type,
sK29: set_b > b ).
thf(func_def_75,type,
sK30: set_a > a ).
thf(func_def_76,type,
sK31: set_a > a ).
thf(func_def_77,type,
sK32: set_b > b > set_b ).
thf(func_def_78,type,
sK33: set_a > a > set_a ).
thf(func_def_79,type,
sK34: set_b > b > set_b ).
thf(func_def_80,type,
sK35: set_a > a > set_a ).
thf(func_def_81,type,
sK36: ( b > b > $o ) > b ).
thf(func_def_82,type,
sK37: ( b > b > $o ) > b ).
thf(func_def_83,type,
sK38: ( b > b > $o ) > b ).
thf(func_def_84,type,
sK39: ( b > b > $o ) > b ).
thf(func_def_85,type,
sK40: ( b > b ) > b ).
thf(func_def_86,type,
sK41: ( b > b ) > b ).
thf(func_def_87,type,
sK42: ( b > b ) > b ).
thf(func_def_88,type,
sK43: ( b > b ) > b ).
thf(func_def_89,type,
sK44: ( b > b ) > b ).
thf(func_def_90,type,
sK45: ( b > b ) > b ).
thf(func_def_91,type,
sK46: ( b > b ) > b ).
thf(func_def_92,type,
sK47: ( b > b ) > b ).
thf(func_def_93,type,
sK48: set_b > b ).
thf(func_def_94,type,
sK49: set_a > a ).
thf(func_def_95,type,
sK50: ( set_b > set_b > set_b ) > set_b ).
thf(func_def_96,type,
sK51: ( set_b > set_b > set_b ) > set_b ).
thf(func_def_97,type,
sK52: ( set_b > set_b > set_b ) > set_b ).
thf(func_def_98,type,
sK53: ( set_b > set_b > set_b ) > set_b ).
thf(func_def_99,type,
sK54: ( set_b > set_b > set_b ) > set_b ).
thf(func_def_100,type,
sK55: ( set_b > set_b > set_b ) > set_b ).
thf(func_def_101,type,
sK56: ( set_b > set_b > set_b ) > set_b ).
thf(func_def_102,type,
sK57: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_103,type,
sK58: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_104,type,
sK59: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_105,type,
sK60: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_106,type,
sK61: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_107,type,
sK62: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_108,type,
sK63: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_109,type,
sK64: ( b > b > b ) > b ).
thf(func_def_110,type,
sK65: ( b > b > b ) > b ).
thf(func_def_111,type,
sK66: ( b > b > b ) > b ).
thf(func_def_112,type,
sK67: ( b > b > b ) > b ).
thf(func_def_113,type,
sK68: ( b > b > b ) > b ).
thf(func_def_114,type,
sK69: ( b > b > b ) > b ).
thf(func_def_115,type,
sK70: ( b > b > b ) > b ).
thf(func_def_116,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_117,type,
sK71: set_a > a > set_a > a > set_a ).
thf(func_def_118,type,
sK72: set_b > b > set_b > b > set_b ).
thf(func_def_119,type,
sK73: a > a ).
thf(func_def_120,type,
sK74: b > b ).
thf(func_def_121,type,
sK75: set_a > a ).
thf(func_def_122,type,
sK76: set_b > b ).
thf(func_def_123,type,
sK77: set_a > set_a > a ).
thf(func_def_124,type,
sK78: set_b > set_b > b ).
thf(func_def_125,type,
sK79: set_a > set_a > a ).
thf(func_def_126,type,
sK80: set_a > set_a > a ).
thf(func_def_127,type,
sK81: set_b > set_b > b ).
thf(func_def_128,type,
sK82: set_b > set_b > b ).
thf(func_def_129,type,
sK83: b > b > set_b ).
thf(func_def_130,type,
sK84: b > b > set_b ).
thf(func_def_131,type,
sK85: set_a > a ).
thf(func_def_132,type,
sK86: set_b > b ).
thf(func_def_133,type,
sK87: set_a > a ).
thf(func_def_134,type,
sK88: set_b > b ).
thf(func_def_135,type,
sK89: ( a > $o ) > a ).
thf(func_def_136,type,
sK90: ( b > $o ) > b ).
thf(func_def_137,type,
sK91: ( a > $o ) > a ).
thf(func_def_138,type,
sK92: ( b > $o ) > b ).
thf(func_def_139,type,
sK93: b > b > set_b ).
thf(func_def_140,type,
sK94: b > b > set_b ).
thf(f1,axiom,
( a2
!= ( f @ x0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062) ).
thf(f2,axiom,
( ( ( f @ x0 )
!= a2 )
=> ? [X0: set_b,X1: set_b] :
( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( member_b @ a2 @ X1 )
& ( member_b @ ( f @ x0 ) @ X0 )
& ( topolo1276428102open_b @ X1 )
& ( topolo1276428102open_b @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062) ).
thf(f356,axiom,
! [X0: set_b,X1: set_b] :
( ( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( member_b @ a2 @ X1 )
& ( member_b @ ( f @ x0 ) @ X0 )
& ( topolo1276428102open_b @ X1 )
& ( topolo1276428102open_b @ X0 ) )
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f357,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f358,negated_conjecture,
~ thesis,
inference(negated_conjecture,[status(cth)],[f357]) ).
thf(f359,plain,
( ( ( f @ x0 )
!= a2 )
=> ? [X0: set_b,X1: set_b] :
( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( member_b @ a2 @ X1 )
& ( member_b @ ( f @ x0 ) @ X0 )
& ( topolo1276428102open_b @ X1 )
& ( topolo1276428102open_b @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f360,plain,
( ( a2
!= ( f @ x0 ) )
=> ? [X0: set_b,X1: set_b] :
( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( ( member_b @ a2 @ X1 )
= $true )
& ( ( member_b @ ( f @ x0 ) @ X0 )
= $true )
& ( ( topolo1276428102open_b @ X1 )
= $true )
& ( ( topolo1276428102open_b @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f359]) ).
thf(f856,plain,
! [X0: set_b,X1: set_b] :
( ( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( member_b @ a2 @ X1 )
& ( member_b @ ( f @ x0 ) @ X0 )
& ( topolo1276428102open_b @ X1 )
& ( topolo1276428102open_b @ X0 ) )
=> thesis ),
inference(rectify,[],[f356]) ).
thf(f857,plain,
! [X0: set_b,X1: set_b] :
( ( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( ( member_b @ a2 @ X1 )
= $true )
& ( ( member_b @ ( f @ x0 ) @ X0 )
= $true )
& ( ( topolo1276428102open_b @ X1 )
= $true )
& ( ( topolo1276428102open_b @ X0 )
= $true ) )
=> ( thesis = $true ) ),
inference(fool_elimination,[],[f856]) ).
thf(f858,plain,
~ thesis,
inference(rectify,[],[f358]) ).
thf(f859,plain,
thesis != $true,
inference(fool_elimination,[],[f858]) ).
thf(f908,plain,
thesis != $true,
inference(flattening,[],[f859]) ).
thf(f909,plain,
( ? [X0: set_b,X1: set_b] :
( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( ( member_b @ a2 @ X1 )
= $true )
& ( ( member_b @ ( f @ x0 ) @ X0 )
= $true )
& ( ( topolo1276428102open_b @ X1 )
= $true )
& ( ( topolo1276428102open_b @ X0 )
= $true ) )
| ( a2
= ( f @ x0 ) ) ),
inference(ennf_transformation,[],[f360]) ).
thf(f1108,plain,
! [X0: set_b,X1: set_b] :
( ( thesis = $true )
| ( ( inf_inf_set_b @ X0 @ X1 )
!= bot_bot_set_b )
| ( ( member_b @ a2 @ X1 )
!= $true )
| ( ( member_b @ ( f @ x0 ) @ X0 )
!= $true )
| ( ( topolo1276428102open_b @ X1 )
!= $true )
| ( ( topolo1276428102open_b @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f857]) ).
thf(f1109,plain,
! [X0: set_b,X1: set_b] :
( ( thesis = $true )
| ( ( inf_inf_set_b @ X0 @ X1 )
!= bot_bot_set_b )
| ( ( member_b @ a2 @ X1 )
!= $true )
| ( ( member_b @ ( f @ x0 ) @ X0 )
!= $true )
| ( ( topolo1276428102open_b @ X1 )
!= $true )
| ( ( topolo1276428102open_b @ X0 )
!= $true ) ),
inference(flattening,[],[f1108]) ).
thf(f1110,definition,
( ? [X0: set_b,X1: set_b] :
( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( ( member_b @ a2 @ X1 )
= $true )
& ( ( member_b @ ( f @ x0 ) @ X0 )
= $true )
& ( ( topolo1276428102open_b @ X1 )
= $true )
& ( ( topolo1276428102open_b @ X0 )
= $true ) )
| ( $true != sP0 ) ),
introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction]) ).
thf(f1111,plain,
( ( $true = sP0 )
| ( a2
= ( f @ x0 ) ) ),
inference(definition_folding,[],[f909,f1110]) ).
thf(f1138,plain,
( ? [X0: set_b,X1: set_b] :
( ( ( inf_inf_set_b @ X0 @ X1 )
= bot_bot_set_b )
& ( ( member_b @ a2 @ X1 )
= $true )
& ( ( member_b @ ( f @ x0 ) @ X0 )
= $true )
& ( ( topolo1276428102open_b @ X1 )
= $true )
& ( ( topolo1276428102open_b @ X0 )
= $true ) )
| ( $true != sP0 ) ),
inference(nnf_transformation,[],[f1110]) ).
thf(f1139,plain,
( ( ( bot_bot_set_b
= ( inf_inf_set_b @ sK16 @ sK17 ) )
& ( $true
= ( member_b @ a2 @ sK17 ) )
& ( $true
= ( member_b @ ( f @ x0 ) @ sK16 ) )
& ( $true
= ( topolo1276428102open_b @ sK17 ) )
& ( $true
= ( topolo1276428102open_b @ sK16 ) ) )
| ( $true != sP0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f1138]) ).
thf(f1198,plain,
( a2
!= ( f @ x0 ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1199,plain,
( ( $true
= ( topolo1276428102open_b @ sK16 ) )
| ( $true != sP0 ) ),
inference(cnf_transformation,[],[f1139]) ).
thf(f1200,plain,
( ( $true
= ( topolo1276428102open_b @ sK17 ) )
| ( $true != sP0 ) ),
inference(cnf_transformation,[],[f1139]) ).
thf(f1201,plain,
( ( $true
= ( member_b @ ( f @ x0 ) @ sK16 ) )
| ( $true != sP0 ) ),
inference(cnf_transformation,[],[f1139]) ).
thf(f1202,plain,
( ( $true
= ( member_b @ a2 @ sK17 ) )
| ( $true != sP0 ) ),
inference(cnf_transformation,[],[f1139]) ).
thf(f1203,plain,
( ( bot_bot_set_b
= ( inf_inf_set_b @ sK16 @ sK17 ) )
| ( $true != sP0 ) ),
inference(cnf_transformation,[],[f1139]) ).
thf(f1204,plain,
( ( $true = sP0 )
| ( a2
= ( f @ x0 ) ) ),
inference(cnf_transformation,[],[f1111]) ).
thf(f1630,plain,
! [X0: set_b,X1: set_b] :
( ( thesis = $true )
| ( ( inf_inf_set_b @ X0 @ X1 )
!= bot_bot_set_b )
| ( ( member_b @ a2 @ X1 )
!= $true )
| ( ( member_b @ ( f @ x0 ) @ X0 )
!= $true )
| ( ( topolo1276428102open_b @ X1 )
!= $true )
| ( ( topolo1276428102open_b @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1109]) ).
thf(f1631,plain,
thesis != $true,
inference(cnf_transformation,[],[f908]) ).
thf(f2927,plain,
! [X0: set_b,X1: set_b] :
( ( ( inf_inf_set_b @ X0 @ X1 )
!= bot_bot_set_b )
| ( ( member_b @ a2 @ X1 )
!= $true )
| ( ( member_b @ ( f @ x0 ) @ X0 )
!= $true )
| ( ( topolo1276428102open_b @ X1 )
!= $true )
| ( ( topolo1276428102open_b @ X0 )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f1630,f1631]) ).
thf(f2938,definition,
( spl95_3
<=> ( a2
= ( f @ x0 ) ) ),
introduced(definition,[new_symbols(definition,[spl95_3])],[avatar_definition]) ).
thf(f2942,definition,
( spl95_4
<=> ( $true = sP0 ) ),
introduced(definition,[new_symbols(definition,[spl95_4])],[avatar_definition]) ).
thf(f2945,plain,
( spl95_3
| spl95_4 ),
inference(avatar_split_clause,[],[f1204,f2942,f2938]) ).
thf(f2947,definition,
( spl95_5
<=> ( $true
= ( topolo1276428102open_b @ sK16 ) ) ),
introduced(definition,[new_symbols(definition,[spl95_5])],[avatar_definition]) ).
thf(f2949,plain,
( ( $true
= ( topolo1276428102open_b @ sK16 ) )
| ~ spl95_5 ),
inference(avatar_component_clause,[],[f2947]) ).
thf(f2950,plain,
( ~ spl95_4
| spl95_5 ),
inference(avatar_split_clause,[],[f1199,f2947,f2942]) ).
thf(f2952,definition,
( spl95_6
<=> ( $true
= ( topolo1276428102open_b @ sK17 ) ) ),
introduced(definition,[new_symbols(definition,[spl95_6])],[avatar_definition]) ).
thf(f2954,plain,
( ( $true
= ( topolo1276428102open_b @ sK17 ) )
| ~ spl95_6 ),
inference(avatar_component_clause,[],[f2952]) ).
thf(f2955,plain,
( ~ spl95_4
| spl95_6 ),
inference(avatar_split_clause,[],[f1200,f2952,f2942]) ).
thf(f2957,definition,
( spl95_7
<=> ( $true
= ( member_b @ ( f @ x0 ) @ sK16 ) ) ),
introduced(definition,[new_symbols(definition,[spl95_7])],[avatar_definition]) ).
thf(f2959,plain,
( ( $true
= ( member_b @ ( f @ x0 ) @ sK16 ) )
| ~ spl95_7 ),
inference(avatar_component_clause,[],[f2957]) ).
thf(f2960,plain,
( ~ spl95_4
| spl95_7 ),
inference(avatar_split_clause,[],[f1201,f2957,f2942]) ).
thf(f2962,definition,
( spl95_8
<=> ( $true
= ( member_b @ a2 @ sK17 ) ) ),
introduced(definition,[new_symbols(definition,[spl95_8])],[avatar_definition]) ).
thf(f2964,plain,
( ( $true
= ( member_b @ a2 @ sK17 ) )
| ~ spl95_8 ),
inference(avatar_component_clause,[],[f2962]) ).
thf(f2965,plain,
( ~ spl95_4
| spl95_8 ),
inference(avatar_split_clause,[],[f1202,f2962,f2942]) ).
thf(f2967,definition,
( spl95_9
<=> ( bot_bot_set_b
= ( inf_inf_set_b @ sK16 @ sK17 ) ) ),
introduced(definition,[new_symbols(definition,[spl95_9])],[avatar_definition]) ).
thf(f2969,plain,
( ( bot_bot_set_b
= ( inf_inf_set_b @ sK16 @ sK17 ) )
| ~ spl95_9 ),
inference(avatar_component_clause,[],[f2967]) ).
thf(f2970,plain,
( ~ spl95_4
| spl95_9 ),
inference(avatar_split_clause,[],[f1203,f2967,f2942]) ).
thf(f2971,plain,
~ spl95_3,
inference(avatar_split_clause,[],[f1198,f2938]) ).
thf(f3018,plain,
( ( bot_bot_set_b != bot_bot_set_b )
| ( $true
!= ( member_b @ a2 @ sK17 ) )
| ( $true
!= ( member_b @ ( f @ x0 ) @ sK16 ) )
| ( $true
!= ( topolo1276428102open_b @ sK17 ) )
| ( $true
!= ( topolo1276428102open_b @ sK16 ) )
| ~ spl95_9 ),
inference(constrained_superposition,[],[f2927,f2969]) ).
thf(f3019,plain,
( ( $true
!= ( member_b @ a2 @ sK17 ) )
| ( $true
!= ( member_b @ ( f @ x0 ) @ sK16 ) )
| ( $true
!= ( topolo1276428102open_b @ sK17 ) )
| ( $true
!= ( topolo1276428102open_b @ sK16 ) )
| ~ spl95_9 ),
inference(trivial_inequality_removal,[],[f3018]) ).
thf(f3020,plain,
( ( $true
!= ( member_b @ ( f @ x0 ) @ sK16 ) )
| ( $true
!= ( topolo1276428102open_b @ sK17 ) )
| ( $true
!= ( topolo1276428102open_b @ sK16 ) )
| ~ spl95_8
| ~ spl95_9 ),
inference(forward_subsumption_resolution,[],[f3019,f2964]) ).
thf(f3021,plain,
( ( $true
!= ( topolo1276428102open_b @ sK17 ) )
| ( $true
!= ( topolo1276428102open_b @ sK16 ) )
| ~ spl95_7
| ~ spl95_8
| ~ spl95_9 ),
inference(forward_subsumption_resolution,[],[f3020,f2959]) ).
thf(f3022,plain,
( ( $true
!= ( topolo1276428102open_b @ sK16 ) )
| ~ spl95_6
| ~ spl95_7
| ~ spl95_8
| ~ spl95_9 ),
inference(forward_subsumption_resolution,[],[f3021,f2954]) ).
thf(f3023,plain,
( $false
| ~ spl95_5
| ~ spl95_6
| ~ spl95_7
| ~ spl95_8
| ~ spl95_9 ),
inference(forward_subsumption_resolution,[],[f3022,f2949]) ).
thf(f3024,plain,
( ~ spl95_5
| ~ spl95_6
| ~ spl95_7
| ~ spl95_8
| ~ spl95_9 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
cnf(s2,plain,
( spl95_3
| spl95_4 ),
inference(sat_conversion,[],[f2945]) ).
cnf(s3,plain,
( ~ spl95_4
| spl95_5 ),
inference(sat_conversion,[],[f2950]) ).
cnf(s4,plain,
( ~ spl95_4
| spl95_6 ),
inference(sat_conversion,[],[f2955]) ).
cnf(s5,plain,
( ~ spl95_4
| spl95_7 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s6,plain,
( ~ spl95_4
| spl95_8 ),
inference(sat_conversion,[],[f2965]) ).
cnf(s7,plain,
( ~ spl95_4
| spl95_9 ),
inference(sat_conversion,[],[f2970]) ).
cnf(s8,plain,
~ spl95_3,
inference(sat_conversion,[],[f2971]) ).
cnf(s9,plain,
( ~ spl95_5
| ~ spl95_6
| ~ spl95_7
| ~ spl95_8
| ~ spl95_9 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s10,plain,
spl95_4,
inference(rat,[],[s2,s8]) ).
cnf(s11,plain,
spl95_9,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
spl95_8,
inference(rat,[],[s6,s10]) ).
cnf(s13,plain,
spl95_7,
inference(rat,[],[s5,s10]) ).
cnf(s14,plain,
spl95_6,
inference(rat,[],[s4,s10]) ).
cnf(s15,plain,
spl95_5,
inference(rat,[],[s3,s10]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s9,s11,s12,s13,s14,s15]) ).
thf(f3025,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP115^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n017.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 19:51:07 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 Running first-order model finding
% 0.10/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.49/0.51 % (815114)Will run a generic schedule for satisfiability detection.
% 1.49/0.51 % (815120)% WARNING: option uhcvi not known.
% 1.49/0.51 % (815120)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1030958196:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.49/0.51 % (815123)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1075452418:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.49/0.51 % (815122)dis+10_1_sil=32000:sp=arity:random_seed=687796143:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.49/0.51 % (815121)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4263639518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.49/0.51 % (815119)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=374769271_2999 on theBenchmark for (2999ds/0Mi)
% 1.49/0.51 % (815125)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=364527401:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.49/0.51 % (815124)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3294736006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.51 % (815123)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51 % (815120)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51 % (815120)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.49/0.51 % (815122)Instruction limit reached!
% 1.49/0.51 % (815122)------------------------------
% 1.49/0.51 % (815122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51 % (815122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51 % (815122)CaDiCaL version: 2.1.3
% 1.49/0.51 % (815122)Termination reason: Instruction limit
% 1.49/0.51 % (815122)Termination phase: Saturation
% 1.49/0.51 % (815122)Time elapsed: 0.043 s
% 1.49/0.51 % (815122)Peak memory usage: 12 MB
% 1.49/0.51 % (815122)Instructions burned: 105 (million)
% 1.49/0.51 % (815125)Instruction limit reached!
% 1.49/0.51 % (815125)------------------------------
% 1.49/0.51 % (815125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51 % (815125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51 % (815125)CaDiCaL version: 2.1.3
% 1.49/0.51 % (815125)Termination reason: Instruction limit
% 1.49/0.51 % (815125)Termination phase: Saturation
% 1.49/0.51 % (815125)Time elapsed: 0.037 s
% 1.49/0.51 % (815125)Peak memory usage: 13 MB
% 1.49/0.51 % (815125)Instructions burned: 160 (million)
% 1.49/0.51 % (815123)Instruction limit reached!
% 1.49/0.51 % (815123)------------------------------
% 1.49/0.51 % (815123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51 % (815123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51 % (815123)CaDiCaL version: 2.1.3
% 1.49/0.51 % (815123)Termination reason: Instruction limit
% 1.49/0.51 % (815123)Termination phase: Saturation
% 1.49/0.51 % (815123)Time elapsed: 0.049 s
% 1.49/0.51 % (815123)Peak memory usage: 13 MB
% 1.49/0.51 % (815123)Instructions burned: 117 (million)
% 1.49/0.51 % Exception at run slice level
% 1.49/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51 % (815134)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2652474138:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.51 % (815124)Instruction limit reached!
% 1.49/0.51 % (815124)------------------------------
% 1.49/0.51 % (815124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51 % (815124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51 % (815124)CaDiCaL version: 2.1.3
% 1.49/0.51 % (815124)Termination reason: Instruction limit
% 1.49/0.51 % (815124)Termination phase: Saturation
% 1.49/0.51 % (815124)Time elapsed: 0.056 s
% 1.49/0.51 % (815124)Peak memory usage: 13 MB
% 1.49/0.51 % (815124)Instructions burned: 132 (million)
% 1.49/0.51 % (815135)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3707883344:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.49/0.51 % (815133)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3760050909:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.49/0.51 % (815136)ott-21_1_sil=16000:fs=off:random_seed=3927483313:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.49/0.51 % (815135)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51 % (815138)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=95031821:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.49/0.51 % (815134)Instruction limit reached!
% 1.49/0.51 % (815134)------------------------------
% 1.49/0.51 % (815134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51 % (815134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51 % (815134)CaDiCaL version: 2.1.3
% 1.49/0.51 % (815134)Termination reason: Instruction limit
% 1.49/0.51 % (815134)Termination phase: Saturation
% 1.49/0.51 % (815134)Time elapsed: 0.030 s
% 1.49/0.51 % (815134)Peak memory usage: 13 MB
% 1.49/0.51 % (815134)Instructions burned: 133 (million)
% 1.49/0.51 % (815143)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2690535035:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.49/0.51 % Exception at run slice level
% 1.49/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51 % (815135)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.49/0.51 % Exception at run slice level
% 1.49/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51 % (815145)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2969730948:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.49/0.51 % (815146)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=301696539:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.49/0.51 % Exception at run slice level
% 1.49/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.49/0.51 % (815136)Instruction limit reached!
% 1.49/0.51 % (815136)------------------------------
% 1.49/0.51 % (815136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.51 % (815136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.51 % (815136)CaDiCaL version: 2.1.3
% 1.49/0.51 % (815136)Termination reason: Instruction limit
% 1.49/0.51 % (815136)Termination phase: Saturation
% 1.49/0.51 % (815136)Time elapsed: 0.080 s
% 1.49/0.51 % (815136)Peak memory usage: 13 MB
% 1.49/0.51 % (815136)Instructions burned: 182 (million)
% 1.49/0.51 % (815149)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4171705622:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.49/0.51 % (815149)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51 % (815151)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=504788916:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.49/0.51 % (815151)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.49/0.51 % (815149) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-815114-815149"...
% 1.49/0.51 % (815145) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-815114-815145"...
% 1.49/0.51 % (815149)...printing done.
% 1.49/0.51 % (815149)Refutation found. Thanks to Tanya!
% 1.49/0.51 % SZS status Theorem for theBenchmark
% 1.49/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.52 % (815149)------------------------------
% 1.49/0.52 % (815149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (815149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (815149)CaDiCaL version: 2.1.3
% 1.49/0.52 % (815149)Termination reason: Refutation
% 1.49/0.52 % (815149)Time elapsed: 0.039 s
% 1.49/0.52 % (815149)Peak memory usage: 15 MB
% 1.49/0.52 % (815149)Instructions burned: 162 (million)
% 1.49/0.52 % (815114)Success in time 0.254 s
% 1.49/0.52 % Vampire exiting
%------------------------------------------------------------------------------