%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP162^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:08:37 AM UTC 2026
% Result : Theorem 0.51s 0.44s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 122 ( 56 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 251 ( 14 ~; 5 |; 15 &; 217 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 152 ( 149 usr; 7 con; 0-4 aty)
% Number of variables : 57 ( 25 ^; 32 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
refine424419629nres_a: $tType ).
thf(type_def_6,type,
set_a: $tType ).
thf(type_def_7,type,
a: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_a_o: $o > ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_1,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_2,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(func_def_3,type,
inf_inf_a_o: ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_4,type,
inf_inf_o: $o > $o > $o ).
thf(func_def_5,type,
inf_in262696383nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_6,type,
inf_inf_set_a: set_a > set_a > set_a ).
thf(func_def_7,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(func_def_8,type,
bot_bot_set_a: set_a ).
thf(func_def_9,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_10,type,
ord_less_eq_o: $o > $o > $o ).
thf(func_def_11,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_12,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_13,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_14,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_15,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_16,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_17,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_18,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(func_def_19,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_20,type,
refine464223677AILi_a: refine424419629nres_a ).
thf(func_def_21,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_22,type,
refine1822134885_RES_a: refine424419629nres_a > set_a ).
thf(func_def_23,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_24,type,
member_a: a > set_a > $o ).
thf(func_def_25,type,
a2: refine424419629nres_a ).
thf(func_def_26,type,
p: a > $o ).
thf(func_def_27,type,
q: a > $o ).
thf(func_def_31,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_34,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_35,type,
vAND: $o > $o > $o ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_37,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
vIMP: $o > $o > $o ).
thf(func_def_39,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
vOR: $o > $o > $o ).
thf(func_def_41,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_42,type,
sK0: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_43,type,
sK1: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_44,type,
sK2: ( set_a > set_a ) > set_a ).
thf(func_def_45,type,
sK3: ( set_a > set_a ) > set_a ).
thf(func_def_46,type,
sK4: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_47,type,
sK5: set_a > ( a > $o ) > ( a > $o ) > a ).
thf(func_def_48,type,
sK6: ( set_a > set_a ) > set_a ).
thf(func_def_49,type,
sK7: ( set_a > set_a ) > set_a ).
thf(func_def_50,type,
sK8: ( a > $o ) > refine424419629nres_a > a ).
thf(func_def_51,type,
sK9: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_52,type,
sK10: ( set_a > a > $o ) > set_a ).
thf(func_def_53,type,
sK11: ( set_a > a > $o ) > set_a ).
thf(func_def_54,type,
sK12: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_55,type,
sK13: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_56,type,
sK14: ( set_a > a > $o ) > set_a ).
thf(func_def_57,type,
sK15: ( set_a > a > $o ) > set_a ).
thf(func_def_58,type,
sK16: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_59,type,
sK17: set_a > set_a > set_a > set_a ).
thf(func_def_60,type,
sK18: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_61,type,
sK19: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_62,type,
sK20: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_63,type,
sK21: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_64,type,
sK22: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_65,type,
sK23: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_66,type,
sK24: ( refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_67,type,
sK25: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_68,type,
sK26: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_69,type,
sK27: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_70,type,
sK28: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_71,type,
sK29: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_72,type,
sK30: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_73,type,
sK31: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_74,type,
sK32: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_75,type,
sK33: ( set_a > a > $o ) > set_a ).
thf(func_def_76,type,
sK34: ( set_a > a > $o ) > set_a ).
thf(func_def_77,type,
sK35: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_78,type,
sK36: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_79,type,
sK37: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_80,type,
sK38: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_81,type,
sK39: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_82,type,
sK40: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_83,type,
sK41: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_84,type,
sK42: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_85,type,
sK43: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_86,type,
sK44: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_87,type,
sK45: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_88,type,
sK46: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_89,type,
sK47: ( set_a > set_a ) > set_a ).
thf(func_def_90,type,
sK48: ( set_a > set_a ) > set_a ).
thf(func_def_91,type,
sK49: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_92,type,
sK50: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_93,type,
sK51: ( a > $o ) > ( a > $o ) > set_a > a ).
thf(func_def_94,type,
sK52: refine424419629nres_a > set_a > a ).
thf(func_def_95,type,
sK53: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_96,type,
sK54: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_97,type,
sK55: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_98,type,
sK56: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_99,type,
sK57: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_100,type,
sK58: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_101,type,
sK59: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_102,type,
sK60: set_a > set_a > a ).
thf(func_def_103,type,
sK61: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_104,type,
sK62: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_105,type,
sK63: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_106,type,
sK64: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_107,type,
sK65: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_108,type,
sK66: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_109,type,
sK67: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_110,type,
sK68: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_111,type,
sK69: set_a > ( a > $o ) > a ).
thf(func_def_112,type,
sK70: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_113,type,
sK71: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_114,type,
sK72: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_115,type,
sK73: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_116,type,
sK74: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_117,type,
sK75: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_118,type,
sK76: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_119,type,
sK77: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_120,type,
sK78: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_121,type,
sK79: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_122,type,
sK80: ( set_a > set_a > set_a ) > set_a ).
thf(func_def_123,type,
sK81: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_124,type,
sK82: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_125,type,
sK83: ( set_a > a > $o ) > set_a ).
thf(func_def_126,type,
sK84: ( set_a > a > $o ) > set_a ).
thf(func_def_127,type,
sK85: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_128,type,
sK86: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_129,type,
sK87: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_130,type,
sK88: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_131,type,
sK89: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_132,type,
sK90: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_133,type,
sK91: ( ( a > $o ) > ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_134,type,
sK92: refine424419629nres_a > ( a > $o ) > ( a > refine424419629nres_a ) > a ).
thf(func_def_135,type,
sK93: refine424419629nres_a > refine424419629nres_a > ( a > refine424419629nres_a ) > a ).
thf(func_def_136,type,
sK94: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_137,type,
sK95: ( a > $o ) > ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_138,type,
sK96: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_139,type,
sK97: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_140,type,
sK98: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_141,type,
sK99: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_142,type,
sK100: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_143,type,
sK101: ( ( a > $o ) > refine424419629nres_a ) > a > $o ).
thf(func_def_144,type,
sK102: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_145,type,
sK103: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_146,type,
sK104: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_147,type,
sK105: ( set_a > set_a ) > set_a ).
thf(func_def_148,type,
sK106: ( set_a > set_a ) > set_a ).
thf(func_def_149,type,
sK107: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(func_def_150,type,
sK108: ( refine424419629nres_a > a > $o ) > refine424419629nres_a ).
thf(f2,axiom,
! [X0: set_a,X1: set_a] :
( ( X0 = X1 )
= ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_nres_Oinject) ).
thf(f5,axiom,
ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__092_060open_062A_A_092_060le_062_Ainf_A_ISPEC_AP_J_A_ISPEC_AQ_J_092_060close_062) ).
thf(f149,axiom,
! [X1: set_a,X0: set_a] :
( ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X0 ) @ ( refine1198353288_RES_a @ X1 ) )
= ( refine1198353288_RES_a @ ( inf_inf_set_a @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_inf__nres_Osimps_I3_J) ).
thf(f256,axiom,
( ord_le519537037nres_a
= ( ^ [X0: refine424419629nres_a,X1: refine424419629nres_a] :
( ( inf_in262696383nres_a @ X1 @ X0 )
= X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_inf_Oabsorb__iff2) ).
thf(f273,axiom,
! [X1: a > $o,X0: a > $o] :
( ( collect_a
@ ^ [X2: a] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X0 ) @ ( collect_a @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_Collect__conj__eq) ).
thf(f357,conjecture,
( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X0: a] :
( ( q @ X0 )
& ( p @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f358,negated_conjecture,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X0: a] :
( ( q @ X0 )
& ( p @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f357]) ).
thf(f384,plain,
ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ),
inference(rectify,[],[f5]) ).
thf(f385,plain,
( ( ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ) )
= $true ),
inference(fool_elimination,[],[f384]) ).
thf(f589,plain,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X0: a] :
( ( q @ X0 )
& ( p @ X0 ) ) ) ) ),
inference(rectify,[],[f358]) ).
thf(f590,plain,
( ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f589]) ).
thf(f628,plain,
( ord_le519537037nres_a
= ( ^ [Y0: refine424419629nres_a,Y1: refine424419629nres_a] :
( ( inf_in262696383nres_a @ Y1 @ Y0 )
= Y0 ) ) ),
inference(fool_elimination,[],[f256]) ).
thf(f734,plain,
! [X1: set_a,X0: set_a] :
( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
= ( X0 = X1 ) ),
inference(fool_elimination,[],[f2]) ).
thf(f904,plain,
! [X0: a > $o,X1: a > $o] :
( ( collect_a
@ ^ [X2: a] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X1 ) @ ( collect_a @ X0 ) ) ),
inference(rectify,[],[f273]) ).
thf(f905,plain,
! [X1: a > $o,X0: a > $o] :
( ( collect_a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X1 ) @ ( collect_a @ X0 ) ) ),
inference(fool_elimination,[],[f904]) ).
thf(f913,plain,
( ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) )
!= $true ),
inference(flattening,[],[f590]) ).
thf(f939,plain,
! [X0: set_a,X1: set_a] :
( ( refine1198353288_RES_a @ ( inf_inf_set_a @ X1 @ X0 ) )
= ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X1 ) @ ( refine1198353288_RES_a @ X0 ) ) ),
inference(rectify,[],[f149]) ).
thf(f1221,plain,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X1 )
= ( refine1198353288_RES_a @ X0 ) )
= ( X1 = X0 ) ),
inference(rectify,[],[f734]) ).
thf(f1425,plain,
! [X0: a > $o,X1: a > $o] :
( ( inf_inf_set_a @ ( collect_a @ X0 ) @ ( collect_a @ X1 ) )
= ( collect_a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X1 @ Y0 ) ) ) ),
inference(rectify,[],[f905]) ).
thf(f1444,plain,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X1 )
= ( refine1198353288_RES_a @ X0 ) )
= ( X1 = X0 ) ),
inference(cnf_transformation,[],[f1221]) ).
thf(f1447,plain,
( ord_le519537037nres_a
= ( ^ [Y0: refine424419629nres_a,Y1: refine424419629nres_a] :
( ( inf_in262696383nres_a @ Y1 @ Y0 )
= Y0 ) ) ),
inference(cnf_transformation,[],[f628]) ).
thf(f1497,plain,
( ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f913]) ).
thf(f1663,plain,
! [X0: set_a,X1: set_a] :
( ( refine1198353288_RES_a @ ( inf_inf_set_a @ X1 @ X0 ) )
= ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X1 ) @ ( refine1198353288_RES_a @ X0 ) ) ),
inference(cnf_transformation,[],[f939]) ).
thf(f1732,plain,
( ( ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ) )
= $true ),
inference(cnf_transformation,[],[f385]) ).
thf(f1783,plain,
! [X0: a > $o,X1: a > $o] :
( ( inf_inf_set_a @ ( collect_a @ X0 ) @ ( collect_a @ X1 ) )
= ( collect_a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f1425]) ).
thf(f1848,plain,
( ( ^ [Y0: refine424419629nres_a,Y1: refine424419629nres_a] :
( ( inf_in262696383nres_a @ Y1 @ Y0 )
= Y0 )
@ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f1497,f1447]) ).
thf(f2033,plain,
( ( ^ [Y0: refine424419629nres_a,Y1: refine424419629nres_a] :
( ( inf_in262696383nres_a @ Y1 @ Y0 )
= Y0 )
@ a2
@ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1732,f1447]) ).
thf(f2176,plain,
( ( ( inf_in262696383nres_a @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ) @ a2 )
= a2 )
= $true ),
inference(beta-eta_normalization,[],[f2033]) ).
thf(f2177,plain,
( a2
= ( inf_in262696383nres_a @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ) @ a2 ) ),
inference(equality_proxy_clausification,[],[f2176]) ).
thf(f2320,plain,
! [X0: set_a,X1: set_a] :
( ( ( ( refine1198353288_RES_a @ X1 )
= ( refine1198353288_RES_a @ X0 ) )
= $true )
| ( $false
= ( X1 = X0 ) ) ),
inference(iff_proxy_clausification,[],[f1444]) ).
thf(f2324,plain,
! [X0: set_a,X1: set_a] :
( ( $false
= ( X1 = X0 ) )
| ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f2320]) ).
thf(f2325,plain,
! [X0: set_a,X1: set_a] :
( ( ( refine1198353288_RES_a @ X0 )
= ( refine1198353288_RES_a @ X1 ) )
| ( X0 != X1 ) ),
inference(equality_proxy_clausification,[],[f2324]) ).
thf(f2371,plain,
( ( ( inf_in262696383nres_a
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) )
@ a2 )
= a2 )
!= $true ),
inference(beta-eta_normalization,[],[f1848]) ).
thf(f2372,plain,
( a2
!= ( inf_in262696383nres_a
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) ) )
@ a2 ) ),
inference(equality_proxy_clausification,[],[f2371]) ).
thf(f3212,plain,
( a2
= ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( inf_inf_set_a @ ( collect_a @ p ) @ ( collect_a @ q ) ) ) @ a2 ) ),
inference(forward_demodulation,[],[f2177,f1663]) ).
thf(f3240,plain,
! [X0: set_a] :
( ( a2
!= ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X0 ) @ a2 ) )
| ( ( collect_a
@ ^ [Y0: a] :
( ( p @ Y0 )
& ( q @ Y0 ) ) )
!= X0 ) ),
inference(superposition,[],[f2372,f2325]) ).
thf(f3261,plain,
! [X0: set_a] :
( ( ( inf_inf_set_a @ ( collect_a @ p ) @ ( collect_a @ q ) )
!= X0 )
| ( a2
!= ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X0 ) @ a2 ) ) ),
inference(forward_demodulation,[],[f3240,f1783]) ).
thf(f3279,plain,
( a2
!= ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( inf_inf_set_a @ ( collect_a @ p ) @ ( collect_a @ q ) ) ) @ a2 ) ),
inference(equality_resolution,[],[f3261]) ).
thf(f3288,plain,
$false,
inference(forward_subsumption_resolution,[],[f3279,f3212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP162^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n009.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 20:04:15 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.41 % (285943)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.51/0.41 % (285975)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.51/0.41 % (285975)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
% 0.51/0.41 % (285970)lrs+10_16_si=on:nwc=1.5:random_seed=1874726355:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.51/0.41 % (285969)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1326048799:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.51/0.41 % (285971)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1120321715:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.51/0.41 % (285972)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=3326990031: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)
% 0.51/0.41 % (285973)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2731893057:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.51/0.41 % (285974)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1484638151:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.51/0.41 % (285975)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=3318269583:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.51/0.41 % (285971)Instruction limit reached!
% 0.51/0.41 % (285971)------------------------------
% 0.51/0.41 % (285971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (285971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (285971)CaDiCaL version: 2.1.3
% 0.51/0.41 % (285971)Termination reason: Instruction limit
% 0.51/0.41 % (285971)Termination phase: shuffling
% 0.51/0.41 % (285971)Time elapsed: 0.002 s
% 0.51/0.41 % (285971)Peak memory usage: 10 MB
% 0.51/0.41 % (285971)Instructions burned: 3 (million)
% 0.51/0.41 % (285970)Instruction limit reached!
% 0.51/0.41 % (285970)------------------------------
% 0.51/0.41 % (285970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (285970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (285970)CaDiCaL version: 2.1.3
% 0.51/0.41 % (285970)Termination reason: Instruction limit
% 0.51/0.41 % (285970)Termination phase: Property scanning
% 0.51/0.41 % (285970)Time elapsed: 0.010 s
% 0.51/0.41 % (285970)Peak memory usage: 10 MB
% 0.51/0.41 % (285970)Instructions burned: 26 (million)
% 0.51/0.41 % (285973)Instruction limit reached!
% 0.51/0.41 % (285973)------------------------------
% 0.51/0.41 % (285973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (285973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (285973)CaDiCaL version: 2.1.3
% 0.51/0.41 % (285973)Termination reason: Instruction limit
% 0.51/0.41 % (285973)Termination phase: Property scanning
% 0.51/0.41 % (285973)Time elapsed: 0.011 s
% 0.51/0.41 % (285973)Peak memory usage: 10 MB
% 0.51/0.41 % (285973)Instructions burned: 26 (million)
% 0.51/0.41 % (285996)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4048764854:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.51/0.41 % (285995)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3518534965:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.41 % (285996)Instruction limit reached!
% 0.51/0.41 % (285996)------------------------------
% 0.51/0.41 % (285996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.41 % (285996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.41 % (285996)CaDiCaL version: 2.1.3
% 0.51/0.41 % (285996)Termination reason: Instruction limit
% 0.51/0.41 % (285996)Termination phase: shuffling
% 0.51/0.41 % (285996)Time elapsed: 0.002 s
% 0.51/0.41 % (285996)Peak memory usage: 10 MB
% 0.51/0.41 % (285996)Instructions burned: 8 (million)
% 0.51/0.41 % (285995)Instruction limit reached!
% 0.51/0.44 % (285995)------------------------------
% 0.51/0.44 % (285995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (285995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (285995)CaDiCaL version: 2.1.3
% 0.51/0.44 % (285995)Termination reason: Instruction limit
% 0.51/0.44 % (285995)Termination phase: shuffling
% 0.51/0.44 % (285995)Time elapsed: 0.002 s
% 0.51/0.44 % (285995)Peak memory usage: 10 MB
% 0.51/0.44 % (285995)Instructions burned: 3 (million)
% 0.51/0.44 % (285998)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.44 % (285998)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1863257881:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.51/0.44 % (286005)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
% 0.51/0.44 % (286005)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.44 % (285974)Instruction limit reached!
% 0.51/0.44 % (285974)------------------------------
% 0.51/0.44 % (285974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (285974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (285974)CaDiCaL version: 2.1.3
% 0.51/0.44 % (285974)Termination reason: Instruction limit
% 0.51/0.44 % (285974)Termination phase: Property scanning
% 0.51/0.44 % (285974)Time elapsed: 0.035 s
% 0.51/0.44 % (285974)Peak memory usage: 12 MB
% 0.51/0.44 % (285974)Instructions burned: 76 (million)
% 0.51/0.44 % (286005)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1272488939:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.51/0.44 % (285998)Instruction limit reached!
% 0.51/0.44 % (285998)------------------------------
% 0.51/0.44 % (285998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (285998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (285998)CaDiCaL version: 2.1.3
% 0.51/0.44 % (285998)Termination reason: Instruction limit
% 0.51/0.44 % (285998)Termination phase: shuffling
% 0.51/0.44 % (285998)Time elapsed: 0.004 s
% 0.51/0.44 % (285998)Peak memory usage: 10 MB
% 0.51/0.44 % (285998)Instructions burned: 8 (million)
% 0.51/0.44 % (285969)Instruction limit reached!
% 0.51/0.44 % (285969)------------------------------
% 0.51/0.44 % (285969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (285969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (285969)CaDiCaL version: 2.1.3
% 0.51/0.44 % (285969)Termination reason: Instruction limit
% 0.51/0.44 % (285969)Termination phase: Function definition elimination
% 0.51/0.44 % (285969)Time elapsed: 0.039 s
% 0.51/0.44 % (285969)Peak memory usage: 12 MB
% 0.51/0.44 % (285969)Instructions burned: 89 (million)
% 0.51/0.44 % (286005)Instruction limit reached!
% 0.51/0.44 % (286005)------------------------------
% 0.51/0.44 % (286005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286005)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286005)Termination reason: Instruction limit
% 0.51/0.44 % (286005)Termination phase: shuffling
% 0.51/0.44 % (286005)Time elapsed: 0.007 s
% 0.51/0.44 % (286005)Peak memory usage: 11 MB
% 0.51/0.44 % (286005)Instructions burned: 30 (million)
% 0.51/0.44 % (286004)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=118122981:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.51/0.44 % (286004)Instruction limit reached!
% 0.51/0.44 % (286004)------------------------------
% 0.51/0.44 % (286004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286004)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286004)Termination reason: Instruction limit
% 0.51/0.44 % (286004)Termination phase: shuffling
% 0.51/0.44 % (286004)Time elapsed: 0.006 s
% 0.51/0.44 % (286004)Peak memory usage: 10 MB
% 0.51/0.44 % (286004)Instructions burned: 14 (million)
% 0.51/0.44 % (286012)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4096928408:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.51/0.44 % (286009)lrs+10_1_si=on:cs=on:random_seed=2008920660:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.51/0.44 % (286010)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.51/0.44 % (286008)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=1649404830:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.51/0.44 % (286010)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=2773309403:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.44 % (286009)Instruction limit reached!
% 0.51/0.44 % (286009)------------------------------
% 0.51/0.44 % (286009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286009)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286009)Termination reason: Instruction limit
% 0.51/0.44 % (286009)Termination phase: shuffling
% 0.51/0.44 % (286009)Time elapsed: 0.004 s
% 0.51/0.44 % (286009)Peak memory usage: 10 MB
% 0.51/0.44 % (286009)Instructions burned: 8 (million)
% 0.51/0.44 % (286010)Instruction limit reached!
% 0.51/0.44 % (286010)------------------------------
% 0.51/0.44 % (286010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286010)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286010)Termination reason: Instruction limit
% 0.51/0.44 % (286010)Termination phase: shuffling
% 0.51/0.44 % (286010)Time elapsed: 0.002 s
% 0.51/0.44 % (286010)Peak memory usage: 10 MB
% 0.51/0.44 % (286010)Instructions burned: 3 (million)
% 0.51/0.44 % (286012)Instruction limit reached!
% 0.51/0.44 % (286012)------------------------------
% 0.51/0.44 % (286012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286012)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286012)Termination reason: Instruction limit
% 0.51/0.44 % (286012)Termination phase: SInE selection
% 0.51/0.44 % (286012)Time elapsed: 0.009 s
% 0.51/0.44 % (286012)Peak memory usage: 11 MB
% 0.51/0.44 % (286012)Instructions burned: 41 (million)
% 0.51/0.44 % (286013)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2699557217:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.51/0.44 % (285975)Instruction limit reached!
% 0.51/0.44 % (285975)------------------------------
% 0.51/0.44 % (285975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (285975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (285975)CaDiCaL version: 2.1.3
% 0.51/0.44 % (285975)Termination reason: Instruction limit
% 0.51/0.44 % (285975)Termination phase: Saturation
% 0.51/0.44 % (285975)Time elapsed: 0.068 s
% 0.51/0.44 % (285975)Peak memory usage: 13 MB
% 0.51/0.44 % (285975)Instructions burned: 159 (million)
% 0.51/0.44 % (286020)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1674574935:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.51/0.44 % (286018)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=21806167:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.51/0.44 % (286019)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1579538056:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.51/0.44 % (286019)Instruction limit reached!
% 0.51/0.44 % (286019)------------------------------
% 0.51/0.44 % (286019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286019)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286019)Termination reason: Instruction limit
% 0.51/0.44 % (286019)Termination phase: shuffling
% 0.51/0.44 % (286019)Time elapsed: 0.006 s
% 0.51/0.44 % (286019)Peak memory usage: 10 MB
% 0.51/0.44 % (286019)Instructions burned: 14 (million)
% 0.51/0.44 % (286022)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1005867495:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.51/0.44 % (286018)Instruction limit reached!
% 0.51/0.44 % (286018)------------------------------
% 0.51/0.44 % (286018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286018)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286018)Termination reason: Instruction limit
% 0.51/0.44 % (286018)Termination phase: Property scanning
% 0.51/0.44 % (286018)Time elapsed: 0.012 s
% 0.51/0.44 % (286018)Peak memory usage: 10 MB
% 0.51/0.44 % (286018)Instructions burned: 27 (million)
% 0.51/0.44 % (286008)Instruction limit reached!
% 0.51/0.44 % (286008)------------------------------
% 0.51/0.44 % (286008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286008)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286008)Termination reason: Instruction limit
% 0.51/0.44 % (286008)Termination phase: Property scanning
% 0.51/0.44 % (286008)Time elapsed: 0.036 s
% 0.51/0.44 % (286008)Peak memory usage: 11 MB
% 0.51/0.44 % (286008)Instructions burned: 87 (million)
% 0.51/0.44 % (286022)Instruction limit reached!
% 0.51/0.44 % (286022)------------------------------
% 0.51/0.44 % (286022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286022)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286022)Termination reason: Instruction limit
% 0.51/0.44 % (286022)Termination phase: shuffling
% 0.51/0.44 % (286022)Time elapsed: 0.006 s
% 0.51/0.44 % (286022)Peak memory usage: 10 MB
% 0.51/0.44 % (286022)Instructions burned: 14 (million)
% 0.51/0.44 % (286026)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3011982913: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)
% 0.51/0.44 % (286026)Instruction limit reached!
% 0.51/0.44 % (286026)------------------------------
% 0.51/0.44 % (286026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286026)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286026)Termination reason: Instruction limit
% 0.51/0.44 % (286026)Termination phase: shuffling
% 0.51/0.44 % (286026)Time elapsed: 0.002 s
% 0.51/0.44 % (286026)Peak memory usage: 10 MB
% 0.51/0.44 % (286026)Instructions burned: 3 (million)
% 0.51/0.44 % (286028)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1693392214:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.51/0.44 % (286029)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=143831151:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.51/0.44 % (286030)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2319171114:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.51/0.44 % (286020) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-285943-286020"...
% 0.51/0.44 % (286020)...printing done.
% 0.51/0.44 % (286020)Refutation found. Thanks to Tanya!
% 0.51/0.44 % SZS status Theorem for theBenchmark
% 0.51/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.44 % (286020)------------------------------
% 0.51/0.44 % (286020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.44 % (286020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.44 % (286020)CaDiCaL version: 2.1.3
% 0.51/0.44 % (286020)Termination reason: Refutation
% 0.51/0.44 % (286020)Time elapsed: 0.041 s
% 0.51/0.44 % (286020)Peak memory usage: 14 MB
% 0.51/0.44 % (286020)Instructions burned: 175 (million)
% 0.51/0.44 % (285943)Success in time 0.165 s
% 0.51/0.44 % Vampire exiting
%------------------------------------------------------------------------------