%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL949^4 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:14:54 AM UTC 2026
% Result : Theorem 13.73s 2.36s
% Output : Refutation 13.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 20
% Syntax : Number of formulae : 193 ( 59 unt; 0 typ; 9 def)
% Number of atoms : 2037 ( 394 equ; 0 cnn)
% Maximal formula atoms : 24 ( 10 avg)
% Number of connectives : 3468 ( 84 ~; 309 |; 48 &;2486 @)
% ( 8 <=>; 287 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 88 ( 88 >; 0 *; 0 +; 0 <<)
% Number of symbols : 212 ( 208 usr; 16 con; 0-5 aty)
% ( 246 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 740 ( 0 sgn 309 !; 0 ?; 740 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mworld > mworld > $o ).
thf(func_def_1,type,
mactual: mworld ).
thf(func_def_2,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_4,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_5,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_18,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_19,type,
inductive: $i > mworld > $o ).
thf(func_def_20,type,
disjoint: $i > $i > mworld > $o ).
thf(func_def_21,type,
function: $i > mworld > $o ).
thf(func_def_22,type,
member: $i > $i > mworld > $o ).
thf(func_def_23,type,
subclass: $i > $i > mworld > $o ).
thf(func_def_24,type,
singleton: $i > $i ).
thf(func_def_25,type,
image: $i > $i > $i ).
thf(func_def_26,type,
inverse: $i > $i ).
thf(func_def_27,type,
rotate: $i > $i ).
thf(func_def_28,type,
unordered_pair: $i > $i > $i ).
thf(func_def_29,type,
successor: $i > $i ).
thf(func_def_30,type,
apply: $i > $i > $i ).
thf(func_def_31,type,
power_class: $i > $i ).
thf(func_def_32,type,
range_of: $i > $i ).
thf(func_def_33,type,
union: $i > $i > $i ).
thf(func_def_34,type,
restrict: $i > $i > $i > $i ).
thf(func_def_35,type,
second: $i > $i ).
thf(func_def_36,type,
ordered_pair: $i > $i > $i ).
thf(func_def_37,type,
domain_of: $i > $i ).
thf(func_def_38,type,
sum_class: $i > $i ).
thf(func_def_39,type,
compose: $i > $i > $i ).
thf(func_def_40,type,
intersection: $i > $i > $i ).
thf(func_def_41,type,
cross_product: $i > $i > $i ).
thf(func_def_42,type,
complement: $i > $i ).
thf(func_def_43,type,
flip: $i > $i ).
thf(func_def_44,type,
first: $i > $i ).
thf(func_def_45,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_51,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
vAND: $o > $o > $o ).
thf(func_def_54,type,
vOR: $o > $o > $o ).
thf(func_def_55,type,
vIMP: $o > $o > $o ).
thf(func_def_56,type,
vNOT: $o > $o ).
thf(func_def_57,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_58,type,
vIFF: $o > $o > $o ).
thf(func_def_59,type,
sF0: $o ).
thf(func_def_60,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_64,type,
sK1: $i > mworld > $i > mworld ).
thf(func_def_65,type,
sK2: $i > mworld > $i > mworld ).
thf(func_def_66,type,
sK3: $i > mworld > $i > $i > mworld ).
thf(func_def_67,type,
sK4: $i > mworld > $i > mworld ).
thf(func_def_68,type,
sK5: $i > mworld > $i > mworld ).
thf(func_def_69,type,
sK6: $i > mworld > $i > mworld ).
thf(func_def_70,type,
sK7: $i > mworld > $i > mworld ).
thf(func_def_71,type,
sK8: $i > mworld > $i > mworld ).
thf(func_def_72,type,
sK9: $i > mworld > $i > mworld ).
thf(func_def_73,type,
sK10: mworld > $i > $i > mworld ).
thf(func_def_74,type,
sK11: mworld > $i > $i > mworld ).
thf(func_def_75,type,
sK12: $i > mworld > $i > $i > mworld ).
thf(func_def_76,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
sK13: $i > $i > mworld > $i > mworld ).
thf(func_def_79,type,
sK14: $i > $i > $i > mworld > $i > mworld ).
thf(func_def_80,type,
sK15: $i > mworld > $i > $i > $i > mworld ).
thf(func_def_81,type,
sK16: $i > mworld > $i > mworld ).
thf(func_def_82,type,
sK17: mworld > $i > mworld ).
thf(func_def_83,type,
sK18: $i > mworld > $i > mworld ).
thf(func_def_84,type,
sK19: $i > mworld > $i > mworld ).
thf(func_def_85,type,
sK20: $i > mworld > $i > mworld ).
thf(func_def_86,type,
sK21: $i > mworld > $i > mworld ).
thf(func_def_87,type,
sK22: $i > mworld > $i > mworld ).
thf(func_def_88,type,
sK23: $i > mworld > $i > mworld ).
thf(func_def_89,type,
sK24: $i > $i > mworld > mworld ).
thf(func_def_90,type,
sK25: $i > $i > mworld > $i > mworld ).
thf(func_def_91,type,
sK26: $i > $i > mworld > $i > mworld ).
thf(func_def_92,type,
sK27: $i > mworld > $i > mworld ).
thf(func_def_93,type,
sK28: $i > mworld > $i > mworld ).
thf(func_def_94,type,
sK29: $i > $i > mworld > mworld ).
thf(func_def_95,type,
sK30: $i > mworld > $i > mworld ).
thf(func_def_96,type,
sK31: $i > mworld > $i > mworld ).
thf(func_def_97,type,
sK32: mworld > $i > $i > mworld ).
thf(func_def_98,type,
sK33: $i > mworld > $i > mworld ).
thf(func_def_99,type,
sK34: $i > mworld > $i > mworld ).
thf(func_def_100,type,
sK35: $i > mworld > $i > $i ).
thf(func_def_101,type,
sK36: $i > mworld > $i > mworld ).
thf(func_def_102,type,
sK37: $i > mworld > $i > mworld ).
thf(func_def_103,type,
sK38: $i > mworld > $i > mworld ).
thf(func_def_104,type,
sK39: mworld ).
thf(func_def_106,type,
sK41: mworld ).
thf(func_def_108,type,
sK43: $i > mworld > mworld ).
thf(func_def_109,type,
sK44: $i > mworld > mworld ).
thf(func_def_110,type,
sK45: $i > mworld > mworld ).
thf(func_def_111,type,
sK46: $i > mworld > mworld ).
thf(func_def_112,type,
sK47: $i > mworld > mworld ).
thf(func_def_113,type,
sK48: $i > mworld > $i > mworld ).
thf(func_def_114,type,
sK49: $i > mworld > $i > mworld ).
thf(func_def_115,type,
sK50: $i > $i > mworld > mworld ).
thf(func_def_116,type,
sK51: $i > mworld > $i > mworld ).
thf(func_def_117,type,
sK52: $i > mworld > $i > mworld ).
thf(func_def_118,type,
sK53: $i > mworld > mworld ).
thf(func_def_119,type,
sK54: $i > mworld > mworld ).
thf(func_def_120,type,
sK55: $i > mworld > mworld ).
thf(func_def_121,type,
sK56: mworld > $i > mworld ).
thf(func_def_122,type,
sK57: $i > mworld > $i > $i > mworld ).
thf(func_def_123,type,
sK58: $i > mworld > $i > $i > $i > mworld ).
thf(func_def_124,type,
sK59: $i > mworld > $i > $i > $i > mworld ).
thf(func_def_125,type,
sK60: $i > mworld > mworld ).
thf(func_def_126,type,
sK61: $i > mworld > $i > mworld ).
thf(func_def_127,type,
sK62: $i > mworld > $i > mworld ).
thf(func_def_128,type,
sK63: $i > mworld > $i > mworld ).
thf(func_def_129,type,
sK64: $i > mworld > $i > mworld ).
thf(func_def_130,type,
sK65: $i > mworld > $i > mworld ).
thf(func_def_131,type,
sK66: mworld > $i > mworld ).
thf(func_def_132,type,
sK67: $i > mworld > mworld ).
thf(func_def_133,type,
sK68: $i > mworld > $i > mworld ).
thf(func_def_134,type,
sK69: $i > mworld > $i > mworld ).
thf(func_def_135,type,
sK70: $i > mworld > $i > mworld ).
thf(func_def_136,type,
sK71: $i > mworld > $i > mworld ).
thf(func_def_137,type,
sK72: $i > mworld > $i > mworld ).
thf(func_def_138,type,
sK73: mworld > $i > mworld ).
thf(func_def_139,type,
sK74: $i > mworld > $i > mworld ).
thf(func_def_140,type,
sK75: $i > mworld > $i > mworld ).
thf(func_def_141,type,
sK76: $i > mworld > $i > mworld ).
thf(func_def_142,type,
sK77: $i > mworld > $i > mworld ).
thf(func_def_143,type,
sK78: $i > mworld > $i > mworld ).
thf(func_def_144,type,
sK79: $i > mworld > $i > mworld ).
thf(func_def_145,type,
sK80: $i > mworld > mworld ).
thf(func_def_146,type,
sK81: $i > mworld > $i > mworld ).
thf(func_def_147,type,
sK82: $i > mworld > $i > mworld ).
thf(func_def_148,type,
sK83: $i > mworld > $i > mworld ).
thf(func_def_149,type,
sK84: $i > mworld > $i > mworld ).
thf(func_def_150,type,
sK85: $i > mworld > $i > mworld ).
thf(func_def_151,type,
sK86: $i > mworld > $i > $i > $i > mworld ).
thf(func_def_152,type,
sK87: $i > mworld > $i > mworld ).
thf(func_def_153,type,
sK88: $i > mworld > mworld ).
thf(func_def_154,type,
sK89: $i > mworld > mworld ).
thf(func_def_155,type,
sK90: $i > $i > mworld > mworld ).
thf(func_def_156,type,
sK91: $i > $i > mworld > $i > mworld ).
thf(func_def_157,type,
sK92: $i > mworld > $i ).
thf(func_def_158,type,
sK93: $i > mworld > mworld ).
thf(func_def_159,type,
sK94: $i > mworld > $i > mworld ).
thf(func_def_160,type,
sK95: $i > mworld > $i > mworld ).
thf(func_def_161,type,
sK96: $i > $i > mworld > mworld ).
thf(func_def_162,type,
sK97: $i > mworld > $i > mworld ).
thf(func_def_163,type,
sK98: $i > mworld > $i > mworld ).
thf(func_def_164,type,
sK99: $i > $i > mworld > mworld ).
thf(func_def_165,type,
sK100: $i > mworld > $i > mworld ).
thf(func_def_166,type,
sK101: $i > mworld > $i > mworld ).
thf(func_def_167,type,
sK102: $i > mworld > $i > mworld ).
thf(func_def_168,type,
sK103: $i > mworld > $i > mworld ).
thf(func_def_169,type,
sK104: $i > mworld > $i > $i ).
thf(func_def_170,type,
sK105: $i > mworld > $i > mworld ).
thf(func_def_171,type,
sK106: $i > mworld > $i > mworld ).
thf(func_def_172,type,
sK107: $i > mworld > $i > mworld ).
thf(func_def_173,type,
sK108: mworld > $i > $i > mworld ).
thf(func_def_174,type,
sK109: mworld > $i > $i > mworld ).
thf(func_def_175,type,
sK110: mworld > $i > mworld ).
thf(func_def_176,type,
sK111: $i > mworld > mworld ).
thf(func_def_177,type,
sK112: $i > mworld > $i > $i > mworld ).
thf(func_def_178,type,
sK113: $i > mworld > $i > $i > $i > mworld ).
thf(func_def_179,type,
sK114: $i > mworld > $i > $i > $i > mworld ).
thf(func_def_180,type,
sK115: $i > mworld > $i > $i > $i > mworld ).
thf(func_def_181,type,
sK116: $i > mworld > $i > mworld ).
thf(func_def_182,type,
sK117: $i > mworld > $i > $i ).
thf(func_def_183,type,
sK118: $i > mworld > $i > mworld ).
thf(func_def_184,type,
sK119: $i > mworld > $i > mworld ).
thf(func_def_185,type,
sK120: mworld > $i > $i > mworld ).
thf(func_def_186,type,
sK121: mworld > $i > $i > mworld ).
thf(func_def_187,type,
sK122: mworld > $i > $i > mworld ).
thf(func_def_188,type,
sK123: mworld > $i > $i > mworld ).
thf(func_def_189,type,
sK124: $i > mworld > $i > mworld ).
thf(func_def_190,type,
sK125: $i > mworld > $i > mworld ).
thf(func_def_191,type,
sK126: $i > $i > mworld > mworld ).
thf(func_def_192,type,
sK127: $i > mworld > mworld ).
thf(func_def_193,type,
sK128: $i > mworld > mworld ).
thf(func_def_194,type,
sK129: $i > mworld > $i > mworld ).
thf(func_def_195,type,
sK130: $i > mworld > mworld ).
thf(func_def_196,type,
sK131: $i > mworld > $i > mworld ).
thf(func_def_197,type,
sK132: mworld > $i > mworld ).
thf(func_def_198,type,
sK133: $i > mworld > $i > mworld ).
thf(func_def_199,type,
sK134: $i > mworld > $i > mworld ).
thf(func_def_200,type,
sK135: $i > mworld > $i > mworld ).
thf(func_def_201,type,
sK136: $i > mworld > $i > mworld ).
thf(func_def_202,type,
sK137: $i > mworld > $i > mworld ).
thf(func_def_204,type,
sK139: $i > mworld > mworld ).
thf(func_def_205,type,
sK140: $i > mworld > $i > mworld ).
thf(func_def_206,type,
sK141: $i > $i > mworld > mworld ).
thf(func_def_207,type,
sK142: $i > mworld > $i > mworld ).
thf(func_def_208,type,
sK143: $i > mworld > mworld ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f9,axiom,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(f10,axiom,
! [X2: mworld,X1: mworld,X0: mworld] :
( ( ( mrel @ X0 @ X1 )
& ( mrel @ X1 @ X2 ) )
=> ( mrel @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
thf(f11,axiom,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).
thf(f13,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( qmltpeq @ X0 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(f14,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X0 @ X1 ) ) @ ( mbox @ ( qmltpeq @ X1 @ X0 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
thf(f57,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X0 @ X1 ) ) @ ( mand @ ( mbox @ ( subclass @ X0 @ X1 ) ) @ ( mbox @ ( subclass @ X1 @ X0 ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ X0 @ X1 ) ) @ ( mbox @ ( subclass @ X1 @ X0 ) ) ) @ ( mbox @ ( qmltpeq @ X0 @ X1 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
thf(f96,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( subclass @ X0 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).
thf(f97,negated_conjecture,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( subclass @ X0 @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
thf(f160,plain,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X0 @ X1 ) ) @ ( mand @ ( mbox @ ( subclass @ X0 @ X1 ) ) @ ( mbox @ ( subclass @ X1 @ X0 ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ X0 @ X1 ) ) @ ( mbox @ ( subclass @ X1 @ X0 ) ) ) @ ( mbox @ ( qmltpeq @ X0 @ X1 ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f57]) ).
thf(f161,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ Y0 @ Y1 ) ) @ ( mand @ ( mbox @ ( subclass @ Y0 @ Y1 ) ) @ ( mbox @ ( subclass @ Y1 @ Y0 ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ Y0 @ Y1 ) ) @ ( mbox @ ( subclass @ Y1 @ Y0 ) ) ) @ ( mbox @ ( qmltpeq @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f160]) ).
thf(f172,plain,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( subclass @ X0 @ X0 ) ) ) ) ),
inference(rectify,[],[f97]) ).
thf(f173,plain,
( $true
!= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( subclass @ Y0 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f172]) ).
thf(f196,plain,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] : ( mbox @ ( qmltpeq @ X0 @ X0 ) ) ) ) ),
inference(rectify,[],[f13]) ).
thf(f197,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( qmltpeq @ Y0 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f196]) ).
thf(f204,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f205,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f204]) ).
thf(f212,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) )
= mand ),
inference(rectify,[],[f3]) ).
thf(f213,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f212]) ).
thf(f228,plain,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mbox
@ ( mforall_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X0 @ X1 ) ) @ ( mbox @ ( qmltpeq @ X1 @ X0 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f229,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ Y0 @ Y1 ) ) @ ( mbox @ ( qmltpeq @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f228]) ).
thf(f244,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( ( mrel @ X2 @ X1 )
& ( mrel @ X1 @ X0 ) )
=> ( mrel @ X2 @ X0 ) ),
inference(rectify,[],[f10]) ).
thf(f245,plain,
! [X2: mworld,X0: mworld,X1: mworld] :
( ( ( $true
= ( mrel @ X1 @ X0 ) )
& ( $true
= ( mrel @ X2 @ X1 ) ) )
=> ( ( mrel @ X2 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f244]) ).
thf(f248,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f249,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f250,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f249]) ).
thf(f259,plain,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f11]) ).
thf(f260,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f259]) ).
thf(f263,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f264,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f263]) ).
thf(f289,plain,
( $true
!= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( subclass @ Y0 @ Y0 ) ) ) ) ) ),
inference(flattening,[],[f173]) ).
thf(f290,plain,
! [X2: mworld,X0: mworld,X1: mworld] :
( ( ( mrel @ X2 @ X0 )
= $true )
| ( $true
!= ( mrel @ X1 @ X0 ) )
| ( $true
!= ( mrel @ X2 @ X1 ) ) ),
inference(ennf_transformation,[],[f245]) ).
thf(f291,plain,
! [X1: mworld,X0: mworld,X2: mworld] :
( ( $true
!= ( mrel @ X2 @ X1 ) )
| ( $true
!= ( mrel @ X1 @ X0 ) )
| ( ( mrel @ X2 @ X0 )
= $true ) ),
inference(flattening,[],[f290]) ).
thf(f292,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( ( mrel @ X2 @ X0 )
!= $true )
| ( ( mrel @ X0 @ X1 )
!= $true )
| ( $true
= ( mrel @ X2 @ X1 ) ) ),
inference(rectify,[],[f291]) ).
thf(f298,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ Y0 @ Y1 ) ) @ ( mbox @ ( qmltpeq @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f229]) ).
thf(f307,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f205]) ).
thf(f333,plain,
( $true
!= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( subclass @ Y0 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f289]) ).
thf(f338,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mbox
@ ( mforall_di
@ ^ [Y1: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ Y0 @ Y1 ) ) @ ( mand @ ( mbox @ ( subclass @ Y0 @ Y1 ) ) @ ( mbox @ ( subclass @ Y1 @ Y0 ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ Y0 @ Y1 ) ) @ ( mbox @ ( subclass @ Y1 @ Y0 ) ) ) @ ( mbox @ ( qmltpeq @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f161]) ).
thf(f340,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f264]) ).
thf(f359,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f260]) ).
thf(f370,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f213]) ).
thf(f373,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f250]) ).
thf(f376,plain,
! [X2: mworld,X0: mworld,X1: mworld] :
( ( $true
= ( mrel @ X2 @ X1 ) )
| ( ( mrel @ X0 @ X1 )
!= $true )
| ( ( mrel @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f292]) ).
thf(f377,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f248]) ).
thf(f385,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] : ( mbox @ ( qmltpeq @ Y0 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f197]) ).
thf(f396,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( qmltpeq @ Y0 @ Y1 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( qmltpeq @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f298,f377,f373,f359,f373,f359,f373,f307,f373,f373]) ).
thf(f425,plain,
( $true
!= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( subclass @ Y0 @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f333,f377,f373,f359,f373]) ).
thf(f430,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( !! @ $i
@ ^ [Y3: $i] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( qmltpeq @ Y0 @ Y1 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( subclass @ Y0 @ Y1 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( subclass @ Y1 @ Y0 ) ) ) ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( subclass @ Y0 @ Y1 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( subclass @ Y1 @ Y0 ) ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( qmltpeq @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f338,f377,f373,f359,f373,f359,f370,f373,f307,f373,f370,f373,f373,f373,f307,f370,f373,f373,f373]) ).
thf(f471,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( qmltpeq @ Y0 @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f385,f377,f373,f359,f373]) ).
thf(f475,definition,
( sF0
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( subclass @ Y0 @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f476,plain,
$true != sF0,
inference(definition_folding,[],[f425,f475]) ).
thf(f559,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y3 @ Y1 @ Y5 ) ) )
& ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y1 @ Y3 @ Y5 ) ) ) )
=> ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y3 @ Y1 @ Y5 ) ) )
& ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f430]) ).
thf(f560,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y3 @ Y1 @ Y5 ) ) )
& ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y1 @ Y3 @ Y5 ) ) ) )
=> ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y3 @ Y1 @ Y5 ) ) )
& ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f559]) ).
thf(f561,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ mactual @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y2 @ Y0 @ Y4 ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y0 @ Y2 @ Y4 ) ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y2 @ Y0 @ Y4 ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y0 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f560]) ).
thf(f562,plain,
! [X1: mworld] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y2 @ Y0 @ Y4 ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y0 @ Y2 @ Y4 ) ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y2 @ Y0 @ Y4 ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y0 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f561]) ).
thf(f563,plain,
! [X2: $i,X1: mworld] :
( ( ( ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y2 @ Y0 @ Y4 ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y0 @ Y2 @ Y4 ) ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y2 @ Y0 @ Y4 ) ) )
& ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( subclass @ Y0 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) )
@ X2 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f562]) ).
thf(f564,plain,
! [X2: $i,X1: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ Y1 @ X2 @ Y3 ) ) )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ X2 @ Y1 @ Y3 ) ) ) )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ X2 @ Y1 @ Y3 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ X2 @ Y1 @ Y3 ) ) )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ Y1 @ X2 @ Y3 ) ) )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ X2 @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta-eta_normalization,[],[f563]) ).
thf(f565,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ Y1 @ X2 @ Y3 ) ) )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ X2 @ Y1 @ Y3 ) ) ) )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ X2 @ Y1 @ Y3 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ X2 @ Y1 @ Y3 ) ) )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ Y1 @ X2 @ Y3 ) ) )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( subclass @ X2 @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
@ X3 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f564]) ).
thf(f566,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $true
= ( ( mrel @ X1 @ X3 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ Y0 @ X2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ X2 @ Y0 @ Y2 ) ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ Y0 @ X2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ X2 @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta-eta_normalization,[],[f565]) ).
thf(f567,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ X1 @ X3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ Y0 @ X2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ X2 @ Y0 @ Y2 ) ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ Y0 @ X2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ X2 @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f566]) ).
thf(f568,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ Y0 @ X2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ X2 @ Y0 @ Y2 ) ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ Y0 @ X2 @ Y2 ) ) )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( subclass @ X2 @ Y0 @ Y2 ) ) ) ) ) ) ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f567]) ).
thf(f569,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( $true
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X4 @ X2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X2 @ X4 @ Y1 ) ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X2 @ X4 @ Y1 ) ) ) ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X2 @ X4 @ Y1 ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X4 @ X2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X2 @ X4 @ Y1 ) ) ) ) ) ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f568]) ).
thf(f570,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X2 @ X4 @ Y1 ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X4 @ X2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X2 @ X4 @ Y1 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f569]) ).
thf(f588,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X2 @ X4 @ Y1 ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X4 @ X2 @ Y1 ) ) )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( subclass @ X2 @ X4 @ Y1 ) ) ) ) ) )
@ X5 )
= $true ) ),
inference(pi_proxy_clausification,[],[f570]) ).
thf(f589,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ( mrel @ X3 @ X5 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X4 @ X2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X2 @ X4 @ Y0 ) ) ) ) ) ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta-eta_normalization,[],[f588]) ).
thf(f590,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $false
= ( mrel @ X1 @ X3 ) )
| ( $true
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X4 @ X2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X2 @ X4 @ Y0 ) ) ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X3 @ X5 ) ) ),
inference(imp_proxy_clausification,[],[f589]) ).
thf(f591,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X4 @ X2 @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X2 @ X4 @ Y0 ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
= $false )
| ( $false
= ( mrel @ X3 @ X5 ) ) ),
inference(imp_proxy_clausification,[],[f590]) ).
thf(f593,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X4 @ X2 @ Y0 ) ) ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
= $false )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(and_proxy_clausification,[],[f591]) ).
thf(f594,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X4 @ X2 @ Y0 ) )
@ X6 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
= $false )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f593]) ).
thf(f595,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( subclass @ X4 @ X2 @ Y0 ) )
@ X6 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) )
@ ( sK6 @ X4 @ X5 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f594]) ).
thf(f596,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( ( mrel @ X5 @ ( sK6 @ X4 @ X5 @ X2 ) )
=> ( qmltpeq @ X2 @ X4 @ ( sK6 @ X4 @ X5 @ X2 ) ) )
= $false )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $true
= ( ( mrel @ X5 @ X6 )
=> ( subclass @ X4 @ X2 @ X6 ) ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta-eta_normalization,[],[f595]) ).
thf(f597,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( qmltpeq @ X2 @ X4 @ ( sK6 @ X4 @ X5 @ X2 ) ) )
| ( $true
= ( ( mrel @ X5 @ X6 )
=> ( subclass @ X4 @ X2 @ X6 ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f596]) ).
thf(f598,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ( mrel @ X5 @ X6 )
=> ( subclass @ X4 @ X2 @ X6 ) ) )
| ( ( mrel @ X5 @ ( sK6 @ X4 @ X5 @ X2 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f596]) ).
thf(f599,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( mrel @ X5 @ ( sK6 @ X4 @ X5 @ X2 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X5 @ X6 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $true
= ( subclass @ X4 @ X2 @ X6 ) )
| ( $false
= ( mrel @ X3 @ X5 ) ) ),
inference(imp_proxy_clausification,[],[f598]) ).
thf(f600,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $false
= ( qmltpeq @ X2 @ X4 @ ( sK6 @ X4 @ X5 @ X2 ) ) )
| ( $false
= ( mrel @ X5 @ X6 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $true
= ( subclass @ X4 @ X2 @ X6 ) ) ),
inference(imp_proxy_clausification,[],[f597]) ).
thf(f835,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) )
=> ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y3 @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f396]) ).
thf(f836,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) )
=> ( !! @ mworld
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y3 @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f835]) ).
thf(f837,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y2 @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f836]) ).
thf(f838,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y2 @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f837]) ).
thf(f839,plain,
! [X2: $i,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y1 @ Y3 )
=> ( ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y0 @ Y2 @ Y4 ) ) )
=> ( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( qmltpeq @ Y2 @ Y0 @ Y4 ) ) ) ) ) ) ) ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f838]) ).
thf(f840,plain,
! [X2: $i,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ X2 @ Y1 @ Y3 ) ) )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ Y1 @ X2 @ Y3 ) ) ) ) ) ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta-eta_normalization,[],[f839]) ).
thf(f841,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ X2 @ Y1 @ Y3 ) ) )
=> ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( qmltpeq @ Y1 @ X2 @ Y3 ) ) ) ) ) ) ) )
@ X3 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f840]) ).
thf(f842,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( ( mrel @ X1 @ X3 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ Y0 @ X2 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f841]) ).
thf(f843,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ Y0 @ X2 @ Y2 ) ) ) ) ) ) ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f842]) ).
thf(f844,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( $false
= ( mrel @ X1 @ X3 ) )
| ( ( ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X3 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ X2 @ Y0 @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( qmltpeq @ Y0 @ X2 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f843]) ).
thf(f845,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X2 @ X4 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X4 @ X2 @ Y1 ) ) ) ) ) ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f844]) ).
thf(f846,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X2 @ X4 @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( qmltpeq @ X4 @ X2 @ Y1 ) ) ) ) )
@ X5 )
= $true )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f845]) ).
thf(f847,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ( mrel @ X3 @ X5 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X4 @ X2 @ Y0 ) ) ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f846]) ).
thf(f848,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X4 @ X2 @ Y0 ) ) ) ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f847]) ).
thf(f849,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) ) )
= $false )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X4 @ X2 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f848]) ).
thf(f850,plain,
! [X2: $i,X3: mworld,X1: mworld,X4: $i,X5: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) )
@ ( sK21 @ X2 @ X5 @ X4 ) )
= $false )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X4 @ X2 @ Y0 ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(sigma_proxy_clausification,[],[f849]) ).
thf(f851,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X4 @ X2 @ Y0 ) )
@ X6 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X5 @ Y0 )
=> ( qmltpeq @ X2 @ X4 @ Y0 ) )
@ ( sK21 @ X2 @ X5 @ X4 ) )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f850]) ).
thf(f852,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $true
= ( ( mrel @ X5 @ X6 )
=> ( qmltpeq @ X4 @ X2 @ X6 ) ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( ( mrel @ X5 @ ( sK21 @ X2 @ X5 @ X4 ) )
=> ( qmltpeq @ X2 @ X4 @ ( sK21 @ X2 @ X5 @ X4 ) ) ) ) ),
inference(beta-eta_normalization,[],[f851]) ).
thf(f853,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ X5 @ X6 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( qmltpeq @ X4 @ X2 @ X6 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( ( mrel @ X5 @ ( sK21 @ X2 @ X5 @ X4 ) )
=> ( qmltpeq @ X2 @ X4 @ ( sK21 @ X2 @ X5 @ X4 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f852]) ).
thf(f854,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( ( qmltpeq @ X2 @ X4 @ ( sK21 @ X2 @ X5 @ X4 ) )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( qmltpeq @ X4 @ X2 @ X6 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $false
= ( mrel @ X5 @ X6 ) ) ),
inference(imp_proxy_clausification,[],[f853]) ).
thf(f855,plain,
! [X2: $i,X3: mworld,X1: mworld,X6: mworld,X4: $i,X5: mworld] :
( ( $true
= ( mrel @ X5 @ ( sK21 @ X2 @ X5 @ X4 ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( $true
= ( qmltpeq @ X4 @ X2 @ X6 ) )
| ( $false
= ( mrel @ X5 @ X6 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f853]) ).
thf(f966,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( qmltpeq @ Y1 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f471]) ).
thf(f967,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( qmltpeq @ Y1 @ Y1 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f966]) ).
thf(f968,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( qmltpeq @ Y0 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f967]) ).
thf(f969,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( qmltpeq @ Y0 @ Y0 @ Y1 ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f968]) ).
thf(f970,plain,
! [X2: $i,X1: mworld] :
( ( ( ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( qmltpeq @ Y0 @ Y0 @ Y1 ) ) )
@ X2 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f969]) ).
thf(f971,plain,
! [X2: $i,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ X2 @ X2 @ Y0 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f970]) ).
thf(f972,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( qmltpeq @ X2 @ X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f971]) ).
thf(f973,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $true
= ( ( mrel @ X1 @ X3 )
=> ( qmltpeq @ X2 @ X2 @ X3 ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta-eta_normalization,[],[f972]) ).
thf(f974,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( ( qmltpeq @ X2 @ X2 @ X3 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f973]) ).
thf(f1184,plain,
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( subclass @ Y0 @ Y0 ) ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f475]) ).
thf(f1195,plain,
( ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( subclass @ Y1 @ Y1 @ Y2 ) ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1184]) ).
thf(f1196,plain,
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( subclass @ Y1 @ Y1 @ Y2 ) ) ) ) )
@ sK39 ) ) ),
inference(sigma_proxy_clausification,[],[f1195]) ).
thf(f1197,plain,
( ( $false
= ( ( mrel @ mactual @ sK39 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ sK39 @ Y1 )
=> ( subclass @ Y0 @ Y0 @ Y1 ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1196]) ).
thf(f1198,plain,
( ( $true = sF0 )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ sK39 @ Y1 )
=> ( subclass @ Y0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1197]) ).
thf(f1199,plain,
( ( $true
= ( mrel @ mactual @ sK39 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f1197]) ).
thf(f1200,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ sK39 @ Y1 )
=> ( subclass @ Y0 @ Y0 @ Y1 ) ) )
@ sK40 ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f1198]) ).
thf(f1201,plain,
( ( $true = sF0 )
| ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK39 @ Y0 )
=> ( subclass @ sK40 @ sK40 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1200]) ).
thf(f1202,plain,
( ( ( ^ [Y0: mworld] :
( ( mrel @ sK39 @ Y0 )
=> ( subclass @ sK40 @ sK40 @ Y0 ) )
@ sK41 )
= $false )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f1201]) ).
thf(f1203,plain,
( ( $false
= ( ( mrel @ sK39 @ sK41 )
=> ( subclass @ sK40 @ sK40 @ sK41 ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f1202]) ).
thf(f1204,plain,
( ( $false
= ( subclass @ sK40 @ sK40 @ sK41 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f1203]) ).
thf(f1205,plain,
( ( $true
= ( mrel @ sK39 @ sK41 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f1203]) ).
thf(f3029,definition,
( spl144_3
<=> ( $true
= ( mrel @ mactual @ sK39 ) ) ),
introduced(definition,[new_symbols(definition,[spl144_3])],[avatar_definition]) ).
thf(f3031,plain,
( ( $true
= ( mrel @ mactual @ sK39 ) )
| ~ spl144_3 ),
inference(avatar_component_clause,[],[f3029]) ).
thf(f3033,definition,
( spl144_4
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl144_4])],[avatar_definition]) ).
thf(f3036,plain,
( spl144_3
| spl144_4 ),
inference(avatar_split_clause,[],[f1199,f3033,f3029]) ).
thf(f3038,definition,
( spl144_5
<=> ( $true
= ( mrel @ sK39 @ sK41 ) ) ),
introduced(definition,[new_symbols(definition,[spl144_5])],[avatar_definition]) ).
thf(f3040,plain,
( ( $true
= ( mrel @ sK39 @ sK41 ) )
| ~ spl144_5 ),
inference(avatar_component_clause,[],[f3038]) ).
thf(f3041,plain,
( spl144_5
| spl144_4 ),
inference(avatar_split_clause,[],[f1205,f3033,f3038]) ).
thf(f3043,definition,
( spl144_6
<=> ( $false
= ( subclass @ sK40 @ sK40 @ sK41 ) ) ),
introduced(definition,[new_symbols(definition,[spl144_6])],[avatar_definition]) ).
thf(f3045,plain,
( ( $false
= ( subclass @ sK40 @ sK40 @ sK41 ) )
| ~ spl144_6 ),
inference(avatar_component_clause,[],[f3043]) ).
thf(f3046,plain,
( spl144_4
| spl144_6 ),
inference(avatar_split_clause,[],[f1204,f3043,f3033]) ).
thf(f3047,plain,
~ spl144_4,
inference(avatar_split_clause,[],[f476,f3033]) ).
thf(f3608,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld,X5: mworld] :
( ( $false
= ( mrel @ X1 @ X4 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ X5 @ X1 ) )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X4 ) )
| ( $false
= ( mrel @ X3 @ X5 ) )
| ( ( mrel @ X2 @ ( sK21 @ X0 @ X1 @ X0 ) )
= $false )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f974,f854]) ).
thf(f3622,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld,X5: mworld] :
( ( ( mrel @ X2 @ ( sK21 @ X0 @ X1 @ X0 ) )
= $false )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X4 ) )
| ( $false
= ( mrel @ X5 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ X1 @ X4 ) )
| ( $false
= ( mrel @ X3 @ X5 ) ) ),
inference(trivial_inequality_removal,[],[f3608]) ).
thf(f6265,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld] :
( ( $true
= ( qmltpeq @ X0 @ X0 @ X2 ) )
| ( $false
= ( mrel @ mactual @ ( sK21 @ X0 @ X1 @ X0 ) ) )
| ( $false
= ( mrel @ X3 @ X1 ) )
| ( $true = $false )
| ( $false
= ( mrel @ X4 @ X3 ) )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false ) ),
inference(constrained_superposition,[],[f3622,f340]) ).
thf(f6281,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ ( sK21 @ X0 @ X1 @ X0 ) ) )
| ( $false
= ( mrel @ X4 @ X3 ) )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X2 ) )
| ( $false
= ( mrel @ X3 @ X1 ) )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( ( mrel @ X1 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f6265]) ).
thf(f6297,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X6: mworld,X4: mworld,X5: mworld] :
( ( $true
= ( qmltpeq @ X0 @ X0 @ X6 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( mrel @ X5 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( mrel @ X2 @ mactual ) )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( $false
= ( mrel @ mactual @ X6 ) )
| ( ( mrel @ X4 @ X5 )
= $false )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X3 ) ) ),
inference(constrained_superposition,[],[f855,f6281]) ).
thf(f6303,plain,
! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X6: mworld,X4: mworld,X5: mworld] :
( ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( $false
= ( mrel @ mactual @ X6 ) )
| ( $false
= ( mrel @ X2 @ mactual ) )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X6 ) )
| ( ( mrel @ X4 @ X5 )
= $false )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( mrel @ X5 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f6297]) ).
thf(f6311,definition,
( spl144_23
<=> ! [X6: mworld,X0: $i,X3: mworld] :
( ( $false
= ( mrel @ mactual @ X6 ) )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X3 ) )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X6 ) )
| ( $false
= ( mrel @ mactual @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl144_23])],[avatar_definition]) ).
thf(f6312,plain,
( ! [X3: mworld,X0: $i,X6: mworld] :
( ( $true
= ( qmltpeq @ X0 @ X0 @ X6 ) )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ mactual @ X6 ) ) )
| ~ spl144_23 ),
inference(avatar_component_clause,[],[f6311]) ).
thf(f6314,definition,
( spl144_24
<=> ! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X2 @ mactual ) )
| ( ( mrel @ X1 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl144_24])],[avatar_definition]) ).
thf(f6315,plain,
( ! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X2 @ mactual ) )
| ( ( mrel @ X1 @ X2 )
= $false ) )
| ~ spl144_24 ),
inference(avatar_component_clause,[],[f6314]) ).
thf(f6317,plain,
( spl144_24
| spl144_23
| spl144_24 ),
inference(avatar_split_clause,[],[f6303,f6314,f6311,f6314]) ).
thf(f6432,plain,
( ( ( mrel @ mactual @ mactual )
= $false )
| ( $false != $false )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl144_24 ),
inference(equality_factoring,[],[f6315]) ).
thf(f6481,plain,
( ( $false != $false )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl144_24 ),
inference(duplicate_literal_removal,[],[f6432]) ).
thf(f6482,plain,
( ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl144_24 ),
inference(trivial_inequality_removal,[],[f6481]) ).
thf(f6559,plain,
( ( $true = $false )
| ~ spl144_24 ),
inference(forward_demodulation,[],[f6482,f340]) ).
thf(f6560,plain,
( $false
| ~ spl144_24 ),
inference(trivial_inequality_removal,[],[f6559]) ).
thf(f6561,plain,
~ spl144_24,
inference(avatar_contradiction_clause,[],[f6560]) ).
thf(f6645,plain,
( ! [X0: $i,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X1 ) )
| ( $true != $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) )
| ~ spl144_23 ),
inference(equality_factoring,[],[f6312]) ).
thf(f6649,plain,
( ! [X0: $i,X1: mworld] :
( ( $true != $true )
| ( $true
= ( qmltpeq @ X0 @ X0 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) )
| ~ spl144_23 ),
inference(duplicate_literal_removal,[],[f6645]) ).
thf(f6650,plain,
( ! [X0: $i,X1: mworld] :
( ( $true
= ( qmltpeq @ X0 @ X0 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) )
| ~ spl144_23 ),
inference(trivial_inequality_removal,[],[f6649]) ).
thf(f6673,plain,
( ! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ ( sK6 @ X0 @ X1 @ X0 ) ) )
| ( ( mrel @ X3 @ X4 )
= $false )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( $false
= ( mrel @ X4 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $true = $false )
| ( ( subclass @ X0 @ X0 @ X2 )
= $true ) )
| ~ spl144_23 ),
inference(constrained_superposition,[],[f6650,f600]) ).
thf(f6705,plain,
( ! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ ( sK6 @ X0 @ X1 @ X0 ) ) )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( $false
= ( mrel @ X4 @ X1 ) )
| ( ( mrel @ X3 @ X4 )
= $false )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( subclass @ X0 @ X0 @ X2 )
= $true ) )
| ~ spl144_23 ),
inference(trivial_inequality_removal,[],[f6673]) ).
thf(f6749,plain,
( ! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X6: mworld,X4: mworld,X5: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( mrel @ mactual @ X4 )
= $false )
| ( $true
= ( subclass @ X0 @ X0 @ X4 ) )
| ( $false
= ( mrel @ mactual @ X6 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( mrel @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( subclass @ X0 @ X0 @ X2 )
= $true )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ X6 @ X5 ) )
| ( ( mrel @ X5 @ mactual )
= $false ) )
| ~ spl144_23 ),
inference(constrained_superposition,[],[f599,f6705]) ).
thf(f6760,plain,
( ! [X2: mworld,X3: mworld,X0: $i,X1: mworld,X6: mworld,X4: mworld,X5: mworld] :
( ( ( mrel @ mactual @ X4 )
= $false )
| ( ( mrel @ X5 @ mactual )
= $false )
| ( $true
= ( subclass @ X0 @ X0 @ X4 ) )
| ( $false
= ( mrel @ mactual @ X6 ) )
| ( ( subclass @ X0 @ X0 @ X2 )
= $true )
| ( ( mrel @ X3 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( mrel @ X6 @ X5 ) ) )
| ~ spl144_23 ),
inference(trivial_inequality_removal,[],[f6749]) ).
thf(f6763,definition,
( spl144_38
<=> ! [X5: mworld,X1: mworld,X0: $i] :
( ( $false
= ( mrel @ mactual @ X5 ) )
| ( ( subclass @ X0 @ X0 @ X1 )
= $true )
| ( $true
= ( subclass @ X0 @ X0 @ X5 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl144_38])],[avatar_definition]) ).
thf(f6764,plain,
( ! [X0: $i,X1: mworld,X5: mworld] :
( ( $true
= ( subclass @ X0 @ X0 @ X5 ) )
| ( $false
= ( mrel @ mactual @ X5 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( subclass @ X0 @ X0 @ X1 )
= $true ) )
| ~ spl144_38 ),
inference(avatar_component_clause,[],[f6763]) ).
thf(f6772,plain,
( spl144_38
| spl144_24
| spl144_24
| ~ spl144_23 ),
inference(avatar_split_clause,[],[f6760,f6311,f6314,f6314,f6763]) ).
thf(f6777,plain,
( ! [X0: $i,X1: mworld] :
( ( ( subclass @ X0 @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) )
| ~ spl144_38 ),
inference(equality_factoring,[],[f6764]) ).
thf(f6778,plain,
( ! [X0: $i,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true != $true )
| ( ( subclass @ X0 @ X0 @ X1 )
= $true ) )
| ~ spl144_38 ),
inference(duplicate_literal_removal,[],[f6777]) ).
thf(f6779,plain,
( ! [X0: $i,X1: mworld] :
( ( ( subclass @ X0 @ X0 @ X1 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) )
| ~ spl144_38 ),
inference(trivial_inequality_removal,[],[f6778]) ).
thf(f6792,definition,
( spl144_42
<=> ( $false
= ( mrel @ mactual @ sK41 ) ) ),
introduced(definition,[new_symbols(definition,[spl144_42])],[avatar_definition]) ).
thf(f6793,plain,
( ( $false
!= ( mrel @ mactual @ sK41 ) )
| spl144_42 ),
inference(avatar_component_clause,[],[f6792]) ).
thf(f6794,plain,
( ( $false
= ( mrel @ mactual @ sK41 ) )
| ~ spl144_42 ),
inference(avatar_component_clause,[],[f6792]) ).
thf(f6803,plain,
( ! [X0: mworld] :
( ( $true
!= ( mrel @ X0 @ sK41 ) )
| ( $true = $false )
| ( ( mrel @ mactual @ X0 )
!= $true ) )
| ~ spl144_42 ),
inference(constrained_superposition,[],[f376,f6794]) ).
thf(f6804,plain,
( ! [X0: mworld] :
( ( $true
!= ( mrel @ X0 @ sK41 ) )
| ( ( mrel @ mactual @ X0 )
!= $true ) )
| ~ spl144_42 ),
inference(trivial_inequality_removal,[],[f6803]) ).
thf(f6868,plain,
( ( $true != $true )
| ( $true
!= ( mrel @ mactual @ sK39 ) )
| ~ spl144_5
| ~ spl144_42 ),
inference(constrained_superposition,[],[f6804,f3040]) ).
thf(f6873,plain,
( ( $true
!= ( mrel @ mactual @ sK39 ) )
| ~ spl144_5
| ~ spl144_42 ),
inference(trivial_inequality_removal,[],[f6868]) ).
thf(f6880,plain,
( $false
| ~ spl144_3
| ~ spl144_5
| ~ spl144_42 ),
inference(forward_subsumption_resolution,[],[f6873,f3031]) ).
thf(f6881,plain,
( ~ spl144_3
| ~ spl144_5
| ~ spl144_42 ),
inference(avatar_contradiction_clause,[],[f6880]) ).
thf(f6888,plain,
( ( $true = $false )
| ( $false
= ( mrel @ mactual @ sK41 ) )
| ~ spl144_6
| ~ spl144_38 ),
inference(constrained_superposition,[],[f3045,f6779]) ).
thf(f6892,plain,
( ( $false
= ( mrel @ mactual @ sK41 ) )
| ~ spl144_6
| ~ spl144_38 ),
inference(trivial_inequality_removal,[],[f6888]) ).
thf(f6896,plain,
( $false
| ~ spl144_6
| ~ spl144_38
| spl144_42 ),
inference(forward_subsumption_resolution,[],[f6892,f6793]) ).
thf(f6897,plain,
( ~ spl144_6
| ~ spl144_38
| spl144_42 ),
inference(avatar_contradiction_clause,[],[f6896]) ).
cnf(s2,plain,
( spl144_3
| spl144_4 ),
inference(sat_conversion,[],[f3036]) ).
cnf(s3,plain,
( spl144_4
| spl144_5 ),
inference(sat_conversion,[],[f3041]) ).
cnf(s4,plain,
( spl144_4
| spl144_6 ),
inference(sat_conversion,[],[f3046]) ).
cnf(s5,plain,
~ spl144_4,
inference(sat_conversion,[],[f3047]) ).
cnf(s30,plain,
( spl144_24
| spl144_23
| spl144_24 ),
inference(sat_conversion,[],[f6317]) ).
cnf(s31,plain,
( spl144_23
| spl144_24 ),
inference(rat,[],[s30]) ).
cnf(s46,plain,
~ spl144_24,
inference(sat_conversion,[],[f6561]) ).
cnf(s60,plain,
( spl144_24
| ~ spl144_23
| spl144_24
| spl144_38 ),
inference(sat_conversion,[],[f6772]) ).
cnf(s61,plain,
( ~ spl144_23
| spl144_24
| spl144_38 ),
inference(rat,[],[s60]) ).
cnf(s66,plain,
( ~ spl144_3
| ~ spl144_5
| ~ spl144_42 ),
inference(sat_conversion,[],[f6881]) ).
cnf(s70,plain,
( ~ spl144_6
| ~ spl144_38
| spl144_42 ),
inference(sat_conversion,[],[f6897]) ).
cnf(s72,plain,
spl144_23,
inference(rat,[],[s31,s46]) ).
cnf(s73,plain,
spl144_38,
inference(rat,[],[s61,s46,s72]) ).
cnf(s83,plain,
spl144_6,
inference(rat,[],[s4,s5]) ).
cnf(s84,plain,
spl144_42,
inference(rat,[],[s70,s73,s83]) ).
cnf(s85,plain,
spl144_5,
inference(rat,[],[s3,s5]) ).
cnf(s86,plain,
~ spl144_3,
inference(rat,[],[s66,s84,s85]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s2,s5,s86]) ).
thf(f6898,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL949^4 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n015.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 10:52:33 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running higher-order theorem proving
% 0.11/0.25 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
% 1.00/0.42 % (3371760)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.00/0.42 % (3371768)lrs+10_16_si=on:nwc=1.5:random_seed=3595522540:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.00/0.42 % (3371771)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2010481270:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.00/0.42 % (3371773)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.00/0.42 % (3371768)Instruction limit reached!
% 1.00/0.42 % (3371768)------------------------------
% 1.00/0.42 % (3371768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.42 % (3371768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.42 % (3371768)CaDiCaL version: 2.1.3
% 1.00/0.42 % (3371768)Termination reason: Instruction limit
% 1.00/0.42 % (3371768)Termination phase: shuffling
% 1.00/0.42 % (3371768)Time elapsed: 0.007 s
% 1.00/0.42 % (3371768)Peak memory usage: 10 MB
% 1.00/0.42 % (3371773)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
% 1.00/0.42 % (3371768)Instructions burned: 18 (million)
% 1.00/0.42 % (3371771)Instruction limit reached!
% 1.00/0.42 % (3371771)------------------------------
% 1.00/0.42 % (3371771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.42 % (3371771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.42 % (3371771)CaDiCaL version: 2.1.3
% 1.00/0.42 % (3371771)Termination reason: Instruction limit
% 1.00/0.42 % (3371771)Termination phase: Property scanning
% 1.00/0.42 % (3371771)Time elapsed: 0.010 s
% 1.00/0.42 % (3371771)Peak memory usage: 10 MB
% 1.00/0.42 % (3371771)Instructions burned: 25 (million)
% 1.00/0.42 % (3371769)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4159686618:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.00/0.42 % (3371772)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2283289828:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.00/0.42 % (3371767)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2671028778:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.00/0.42 % (3371773)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=20296962:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.00/0.42 % (3371770)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=2485444463: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)
% 1.00/0.42 % (3371769)Instruction limit reached!
% 1.00/0.42 % (3371769)------------------------------
% 1.00/0.42 % (3371769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.42 % (3371769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.42 % (3371769)CaDiCaL version: 2.1.3
% 1.00/0.42 % (3371769)Termination reason: Instruction limit
% 1.00/0.42 % (3371769)Termination phase: shuffling
% 1.00/0.42 % (3371769)Time elapsed: 0.003 s
% 1.00/0.42 % (3371769)Peak memory usage: 10 MB
% 1.00/0.42 % (3371769)Instructions burned: 4 (million)
% 1.00/0.42 % (3371777)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=920321352:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.00/0.42 % (3371777)Instruction limit reached!
% 1.00/0.42 % (3371777)------------------------------
% 1.00/0.42 % (3371777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.42 % (3371777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.42 % (3371777)CaDiCaL version: 2.1.3
% 1.00/0.42 % (3371777)Termination reason: Instruction limit
% 1.00/0.42 % (3371777)Termination phase: shuffling
% 1.00/0.42 % (3371777)Time elapsed: 0.002 s
% 1.00/0.42 % (3371777)Peak memory usage: 10 MB
% 1.00/0.42 % (3371777)Instructions burned: 2 (million)
% 1.00/0.42 % (3371784)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.00/0.46 % (3371780)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3896495848:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.00/0.46 % (3371772)Instruction limit reached!
% 1.00/0.46 % (3371772)------------------------------
% 1.00/0.46 % (3371772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.46 % (3371772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.46 % (3371772)CaDiCaL version: 2.1.3
% 1.00/0.46 % (3371772)Termination reason: Instruction limit
% 1.00/0.46 % (3371772)Termination phase: Property scanning
% 1.00/0.46 % (3371772)Time elapsed: 0.033 s
% 1.00/0.46 % (3371772)Peak memory usage: 11 MB
% 1.00/0.46 % (3371772)Instructions burned: 77 (million)
% 1.00/0.46 % (3371784)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3990279984:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.00/0.46 % (3371780)Instruction limit reached!
% 1.00/0.46 % (3371780)------------------------------
% 1.00/0.46 % (3371780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.46 % (3371780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.46 % (3371780)CaDiCaL version: 2.1.3
% 1.00/0.46 % (3371780)Termination reason: Instruction limit
% 1.00/0.46 % (3371780)Termination phase: shuffling
% 1.00/0.46 % (3371780)Time elapsed: 0.004 s
% 1.00/0.46 % (3371780)Peak memory usage: 10 MB
% 1.00/0.46 % (3371780)Instructions burned: 5 (million)
% 1.00/0.46 % (3371784)Instruction limit reached!
% 1.00/0.46 % (3371784)------------------------------
% 1.00/0.46 % (3371784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.46 % (3371784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.46 % (3371784)CaDiCaL version: 2.1.3
% 1.00/0.46 % (3371784)Termination reason: Instruction limit
% 1.00/0.46 % (3371784)Termination phase: shuffling
% 1.00/0.46 % (3371784)Time elapsed: 0.005 s
% 1.00/0.46 % (3371784)Peak memory usage: 10 MB
% 1.00/0.46 % (3371784)Instructions burned: 7 (million)
% 1.00/0.46 % (3371789)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
% 1.00/0.46 % (3371789)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.00/0.46 % (3371791)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=2415412318:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.00/0.46 % (3371789)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=422252179:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.00/0.46 % (3371767)Instruction limit reached!
% 1.00/0.46 % (3371767)------------------------------
% 1.00/0.46 % (3371767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.46 % (3371767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.46 % (3371767)CaDiCaL version: 2.1.3
% 1.00/0.46 % (3371767)Termination reason: Instruction limit
% 1.00/0.46 % (3371767)Termination phase: Property scanning
% 1.00/0.46 % (3371767)Time elapsed: 0.065 s
% 1.00/0.46 % (3371767)Peak memory usage: 11 MB
% 1.00/0.46 % (3371767)Instructions burned: 87 (million)
% 1.00/0.46 % (3371787)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2529964246:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.00/0.46 % (3371789)Instruction limit reached!
% 1.00/0.46 % (3371789)------------------------------
% 1.00/0.46 % (3371789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.46 % (3371789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.46 % (3371789)CaDiCaL version: 2.1.3
% 1.00/0.46 % (3371789)Termination reason: Instruction limit
% 1.00/0.46 % (3371789)Termination phase: Property scanning
% 1.00/0.46 % (3371789)Time elapsed: 0.014 s
% 1.00/0.46 % (3371789)Peak memory usage: 10 MB
% 1.00/0.46 % (3371789)Instructions burned: 29 (million)
% 1.00/0.46 % (3371792)lrs+10_1_si=on:cs=on:random_seed=2506865514:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.00/0.46 % (3371787)Instruction limit reached!
% 1.00/0.50 % (3371787)------------------------------
% 1.00/0.50 % (3371787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.50 % (3371787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.50 % (3371787)CaDiCaL version: 2.1.3
% 1.00/0.50 % (3371787)Termination reason: Instruction limit
% 1.00/0.50 % (3371787)Termination phase: shuffling
% 1.00/0.50 % (3371787)Time elapsed: 0.010 s
% 1.00/0.50 % (3371787)Peak memory usage: 10 MB
% 1.00/0.50 % (3371787)Instructions burned: 12 (million)
% 1.00/0.50 % (3371792)Instruction limit reached!
% 1.00/0.50 % (3371792)------------------------------
% 1.00/0.50 % (3371792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.50 % (3371792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.50 % (3371792)CaDiCaL version: 2.1.3
% 1.00/0.50 % (3371792)Termination reason: Instruction limit
% 1.00/0.50 % (3371792)Termination phase: shuffling
% 1.00/0.50 % (3371792)Time elapsed: 0.008 s
% 1.00/0.50 % (3371792)Peak memory usage: 10 MB
% 1.00/0.50 % (3371792)Instructions burned: 10 (million)
% 1.00/0.50 % (3371797)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.00/0.50 % (3371791)Instruction limit reached!
% 1.00/0.50 % (3371791)------------------------------
% 1.00/0.50 % (3371791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.50 % (3371791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.50 % (3371791)CaDiCaL version: 2.1.3
% 1.00/0.50 % (3371791)Termination reason: Instruction limit
% 1.00/0.50 % (3371791)Termination phase: Property scanning
% 1.00/0.50 % (3371791)Time elapsed: 0.036 s
% 1.00/0.50 % (3371791)Peak memory usage: 11 MB
% 1.00/0.50 % (3371791)Instructions burned: 87 (million)
% 1.00/0.50 % (3371797)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=1364371520:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.00/0.50 % (3371797)Instruction limit reached!
% 1.00/0.50 % (3371797)------------------------------
% 1.00/0.50 % (3371797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.50 % (3371797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.50 % (3371797)CaDiCaL version: 2.1.3
% 1.00/0.50 % (3371797)Termination reason: Instruction limit
% 1.00/0.50 % (3371797)Termination phase: shuffling
% 1.00/0.50 % (3371797)Time elapsed: 0.002 s
% 1.00/0.50 % (3371797)Peak memory usage: 10 MB
% 1.00/0.50 % (3371797)Instructions burned: 2 (million)
% 1.00/0.50 % (3371798)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=884498109:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.00/0.50 % (3371800)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1030984228:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.00/0.50 % (3371802)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2509186172:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.00/0.50 % (3371802)Instruction limit reached!
% 1.00/0.50 % (3371802)------------------------------
% 1.00/0.50 % (3371802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.50 % (3371802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.50 % (3371802)CaDiCaL version: 2.1.3
% 1.00/0.50 % (3371802)Termination reason: Instruction limit
% 1.00/0.50 % (3371802)Termination phase: shuffling
% 1.00/0.50 % (3371802)Time elapsed: 0.006 s
% 1.00/0.50 % (3371802)Peak memory usage: 10 MB
% 1.00/0.50 % (3371802)Instructions burned: 17 (million)
% 1.00/0.50 % (3371801)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1274154827:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.00/0.50 % (3371773)Instruction limit reached!
% 1.00/0.50 % (3371773)------------------------------
% 1.00/0.50 % (3371773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.50 % (3371773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.50 % (3371773)CaDiCaL version: 2.1.3
% 1.00/0.50 % (3371773)Termination reason: Instruction limit
% 1.00/0.50 % (3371773)Termination phase: Saturation
% 1.70/0.56 % (3371773)Time elapsed: 0.120 s
% 1.70/0.56 % (3371773)Peak memory usage: 13 MB
% 1.70/0.56 % (3371773)Instructions burned: 158 (million)
% 1.70/0.56 % (3371805)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3377610958:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.70/0.56 % (3371811)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1020018375:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.70/0.56 % (3371801)Instruction limit reached!
% 1.70/0.56 % (3371801)------------------------------
% 1.70/0.56 % (3371801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.56 % (3371801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.56 % (3371801)CaDiCaL version: 2.1.3
% 1.70/0.56 % (3371801)Termination reason: Instruction limit
% 1.70/0.56 % (3371801)Termination phase: Property scanning
% 1.70/0.56 % (3371801)Time elapsed: 0.019 s
% 1.70/0.56 % (3371801)Peak memory usage: 10 MB
% 1.70/0.56 % (3371801)Instructions burned: 26 (million)
% 1.70/0.56 % (3371798)Instruction limit reached!
% 1.70/0.56 % (3371798)------------------------------
% 1.70/0.56 % (3371798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.56 % (3371798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.56 % (3371798)CaDiCaL version: 2.1.3
% 1.70/0.56 % (3371798)Termination reason: Instruction limit
% 1.70/0.56 % (3371798)Termination phase: SInE selection
% 1.70/0.56 % (3371798)Time elapsed: 0.029 s
% 1.70/0.56 % (3371798)Peak memory usage: 10 MB
% 1.70/0.56 % (3371798)Instructions burned: 39 (million)
% 1.70/0.56 % (3371811)Instruction limit reached!
% 1.70/0.56 % (3371811)------------------------------
% 1.70/0.56 % (3371811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.56 % (3371811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.56 % (3371811)CaDiCaL version: 2.1.3
% 1.70/0.56 % (3371811)Termination reason: Instruction limit
% 1.70/0.56 % (3371811)Termination phase: shuffling
% 1.70/0.56 % (3371811)Time elapsed: 0.006 s
% 1.70/0.56 % (3371811)Peak memory usage: 10 MB
% 1.70/0.56 % (3371811)Instructions burned: 15 (million)
% 1.70/0.56 % (3371800)Refutation not found, incomplete strategy
% 1.70/0.56 % (3371800)------------------------------
% 1.70/0.56 % (3371800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.56 % (3371800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.56 % (3371800)CaDiCaL version: 2.1.3
% 1.70/0.56 % (3371800)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.56 % (3371800)Time elapsed: 0.033 s
% 1.70/0.56 % (3371800)Peak memory usage: 12 MB
% 1.70/0.56 % (3371800)Instructions burned: 43 (million)
% 1.70/0.56 % (3371800)------------------------------
% 1.70/0.56 % (3371800)------------------------------
% 1.70/0.56 % (3371812)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=42914605: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)
% 1.70/0.56 % (3371818)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3371897901:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.70/0.56 % (3371812)Instruction limit reached!
% 1.70/0.56 % (3371812)------------------------------
% 1.70/0.56 % (3371812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.56 % (3371812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.56 % (3371812)CaDiCaL version: 2.1.3
% 1.70/0.56 % (3371812)Termination reason: Instruction limit
% 1.70/0.56 % (3371812)Termination phase: shuffling
% 1.70/0.56 % (3371812)Time elapsed: 0.002 s
% 1.70/0.56 % (3371812)Peak memory usage: 10 MB
% 1.70/0.56 % (3371812)Instructions burned: 3 (million)
% 1.70/0.56 % (3371805)Refutation not found, incomplete strategy
% 1.70/0.56 % (3371805)------------------------------
% 1.70/0.56 % (3371805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.56 % (3371805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.56 % (3371805)CaDiCaL version: 2.1.3
% 1.70/0.56 % (3371805)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.56 % (3371805)Time elapsed: 0.032 s
% 1.70/0.56 % (3371805)Peak memory usage: 13 MB
% 1.70/0.56 % (3371805)Instructions burned: 66 (million)
% 1.70/0.56 % (3371805)------------------------------
% 1.70/0.56 % (3371805)------------------------------
% 2.34/0.62 % (3371816)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4118347735:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.34/0.62 % (3371819)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
% 2.34/0.62 % (3371819)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.34/0.62 % (3371817)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2163478295:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.34/0.62 % (3371819)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=2646651771:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.34/0.62 % (3371818)Instruction limit reached!
% 2.34/0.62 % (3371818)------------------------------
% 2.34/0.62 % (3371818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.62 % (3371818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.62 % (3371818)CaDiCaL version: 2.1.3
% 2.34/0.62 % (3371818)Termination reason: Instruction limit
% 2.34/0.62 % (3371818)Termination phase: Property scanning
% 2.34/0.62 % (3371818)Time elapsed: 0.024 s
% 2.34/0.62 % (3371818)Peak memory usage: 11 MB
% 2.34/0.62 % (3371818)Instructions burned: 61 (million)
% 2.34/0.62 % (3371823)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.34/0.62 % (3371819)Instruction limit reached!
% 2.34/0.62 % (3371819)------------------------------
% 2.34/0.62 % (3371819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.62 % (3371819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.62 % (3371819)CaDiCaL version: 2.1.3
% 2.34/0.62 % (3371819)Termination reason: Instruction limit
% 2.34/0.62 % (3371819)Termination phase: shuffling
% 2.34/0.62 % (3371819)Time elapsed: 0.011 s
% 2.34/0.62 % (3371819)Peak memory usage: 10 MB
% 2.34/0.62 % (3371819)Instructions burned: 14 (million)
% 2.34/0.62 % (3371823)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=3108716944:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.34/0.62 % (3371817)Instruction limit reached!
% 2.34/0.62 % (3371817)------------------------------
% 2.34/0.62 % (3371817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.62 % (3371817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.62 % (3371817)CaDiCaL version: 2.1.3
% 2.34/0.62 % (3371817)Termination reason: Instruction limit
% 2.34/0.62 % (3371817)Termination phase: Property scanning
% 2.34/0.62 % (3371817)Time elapsed: 0.019 s
% 2.34/0.62 % (3371817)Peak memory usage: 10 MB
% 2.34/0.62 % (3371817)Instructions burned: 25 (million)
% 2.34/0.62 % (3371816)Instruction limit reached!
% 2.34/0.62 % (3371816)------------------------------
% 2.34/0.62 % (3371816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.62 % (3371816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.62 % (3371816)CaDiCaL version: 2.1.3
% 2.34/0.62 % (3371816)Termination reason: Instruction limit
% 2.34/0.62 % (3371816)Termination phase: Property scanning
% 2.34/0.62 % (3371816)Time elapsed: 0.021 s
% 2.34/0.62 % (3371816)Peak memory usage: 10 MB
% 2.34/0.62 % (3371816)Instructions burned: 27 (million)
% 2.34/0.62 % (3371824)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=603099516:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.34/0.62 % (3371828)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1008113137:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.34/0.62 % (3371823)Instruction limit reached!
% 2.34/0.62 % (3371823)------------------------------
% 2.34/0.62 % (3371823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.62 % (3371823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (3371823)CaDiCaL version: 2.1.3
% 2.88/0.71 % (3371823)Termination reason: Instruction limit
% 2.88/0.71 % (3371823)Termination phase: shuffling
% 2.88/0.71 % (3371823)Time elapsed: 0.009 s
% 2.88/0.71 % (3371823)Peak memory usage: 10 MB
% 2.88/0.71 % (3371823)Instructions burned: 11 (million)
% 2.88/0.71 % (3371828)Instruction limit reached!
% 2.88/0.71 % (3371828)------------------------------
% 2.88/0.71 % (3371828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (3371828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (3371828)CaDiCaL version: 2.1.3
% 2.88/0.71 % (3371828)Termination reason: Instruction limit
% 2.88/0.71 % (3371828)Termination phase: shuffling
% 2.88/0.71 % (3371828)Time elapsed: 0.005 s
% 2.88/0.71 % (3371828)Peak memory usage: 10 MB
% 2.88/0.71 % (3371828)Instructions burned: 12 (million)
% 2.88/0.71 % (3371829)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4214584585:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.88/0.71 % (3371824)Instruction limit reached!
% 2.88/0.71 % (3371824)------------------------------
% 2.88/0.71 % (3371824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (3371824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (3371824)CaDiCaL version: 2.1.3
% 2.88/0.71 % (3371824)Termination reason: Instruction limit
% 2.88/0.71 % (3371824)Termination phase: Property scanning
% 2.88/0.71 % (3371824)Time elapsed: 0.024 s
% 2.88/0.71 % (3371824)Peak memory usage: 10 MB
% 2.88/0.71 % (3371824)Instructions burned: 31 (million)
% 2.88/0.71 % (3371836)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3895146683:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.88/0.71 % (3371831)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2105143878:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.88/0.71 % (3371832)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3013222487:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.88/0.71 % (3371835)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4102673266:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.88/0.71 % (3371829)Instruction limit reached!
% 2.88/0.71 % (3371829)------------------------------
% 2.88/0.71 % (3371829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (3371829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (3371829)CaDiCaL version: 2.1.3
% 2.88/0.71 % (3371829)Termination reason: Instruction limit
% 2.88/0.71 % (3371829)Termination phase: Property scanning
% 2.88/0.71 % (3371829)Time elapsed: 0.018 s
% 2.88/0.71 % (3371829)Peak memory usage: 10 MB
% 2.88/0.71 % (3371829)Instructions burned: 23 (million)
% 2.88/0.71 % (3371831)Instruction limit reached!
% 2.88/0.71 % (3371831)------------------------------
% 2.88/0.71 % (3371831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (3371831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (3371831)CaDiCaL version: 2.1.3
% 2.88/0.71 % (3371831)Termination reason: Instruction limit
% 2.88/0.71 % (3371831)Termination phase: shuffling
% 2.88/0.71 % (3371831)Time elapsed: 0.015 s
% 2.88/0.71 % (3371831)Peak memory usage: 10 MB
% 2.88/0.71 % (3371831)Instructions burned: 20 (million)
% 2.88/0.71 % (3371836)Refutation not found, incomplete strategy
% 2.88/0.71 % (3371836)------------------------------
% 2.88/0.71 % (3371836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (3371836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (3371836)CaDiCaL version: 2.1.3
% 2.88/0.71 % (3371836)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.71 % (3371836)Time elapsed: 0.017 s
% 2.88/0.71 % (3371836)Peak memory usage: 13 MB
% 2.88/0.71 % (3371836)Instructions burned: 58 (million)
% 2.88/0.71 % (3371836)------------------------------
% 2.88/0.71 % (3371836)------------------------------
% 2.88/0.71 % (3371848)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=4264999851: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)
% 2.88/0.71 % (3371840)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=164103635:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.88/0.80 % (3371846)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.88/0.80 % (3371846)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2969376271:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.88/0.80 % (3371847)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3965567630:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.88/0.80 % (3371846)Instruction limit reached!
% 2.88/0.80 % (3371846)------------------------------
% 2.88/0.80 % (3371846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.80 % (3371846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.80 % (3371846)CaDiCaL version: 2.1.3
% 2.88/0.80 % (3371846)Termination reason: Instruction limit
% 2.88/0.80 % (3371846)Termination phase: shuffling
% 2.88/0.80 % (3371846)Time elapsed: 0.007 s
% 2.88/0.80 % (3371846)Peak memory usage: 10 MB
% 2.88/0.80 % (3371846)Instructions burned: 8 (million)
% 2.88/0.80 % (3371848)Refutation not found, incomplete strategy
% 2.88/0.80 % (3371848)------------------------------
% 2.88/0.80 % (3371848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.80 % (3371848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.80 % (3371848)CaDiCaL version: 2.1.3
% 2.88/0.80 % (3371848)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.80 % (3371848)Time elapsed: 0.020 s
% 2.88/0.80 % (3371848)Peak memory usage: 13 MB
% 2.88/0.80 % (3371848)Instructions burned: 49 (million)
% 2.88/0.80 % (3371848)------------------------------
% 2.88/0.80 % (3371848)------------------------------
% 2.88/0.80 % (3371840)Instruction limit reached!
% 2.88/0.80 % (3371840)------------------------------
% 2.88/0.80 % (3371840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.80 % (3371840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.80 % (3371840)CaDiCaL version: 2.1.3
% 2.88/0.80 % (3371840)Termination reason: Instruction limit
% 2.88/0.80 % (3371840)Termination phase: Property scanning
% 2.88/0.80 % (3371840)Time elapsed: 0.033 s
% 2.88/0.80 % (3371840)Peak memory usage: 10 MB
% 2.88/0.80 % (3371840)Instructions burned: 43 (million)
% 2.88/0.80 % (3371853)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.88/0.80 % (3371853)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1943886663:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.88/0.80 % (3371853)Instruction limit reached!
% 2.88/0.80 % (3371853)------------------------------
% 2.88/0.80 % (3371853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.80 % (3371853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.80 % (3371853)CaDiCaL version: 2.1.3
% 2.88/0.80 % (3371853)Termination reason: Instruction limit
% 2.88/0.80 % (3371853)Termination phase: shuffling
% 2.88/0.80 % (3371853)Time elapsed: 0.003 s
% 2.88/0.80 % (3371853)Peak memory usage: 10 MB
% 2.88/0.80 % (3371853)Instructions burned: 7 (million)
% 2.88/0.80 % (3371854)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=971677955:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.88/0.80 % (3371847)Refutation not found, incomplete strategy
% 2.88/0.80 % (3371847)------------------------------
% 2.88/0.80 % (3371847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.80 % (3371847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.80 % (3371847)CaDiCaL version: 2.1.3
% 2.88/0.80 % (3371847)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.80 % (3371847)Time elapsed: 0.044 s
% 2.88/0.80 % (3371847)Peak memory usage: 13 MB
% 2.88/0.80 % (3371847)Instructions burned: 52 (million)
% 2.88/0.80 % (3371859)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1869800745:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.88/0.80 % (3371847)------------------------------
% 3.56/0.90 % (3371847)------------------------------
% 3.56/0.90 % (3371856)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=994533749:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.56/0.90 % (3371854)Instruction limit reached!
% 3.56/0.90 % (3371854)------------------------------
% 3.56/0.90 % (3371854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (3371854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (3371854)CaDiCaL version: 2.1.3
% 3.56/0.90 % (3371854)Termination reason: Instruction limit
% 3.56/0.90 % (3371854)Termination phase: Property scanning
% 3.56/0.90 % (3371854)Time elapsed: 0.017 s
% 3.56/0.90 % (3371854)Peak memory usage: 10 MB
% 3.56/0.90 % (3371854)Instructions burned: 23 (million)
% 3.56/0.90 % (3371856)Instruction limit reached!
% 3.56/0.90 % (3371856)------------------------------
% 3.56/0.90 % (3371856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (3371856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (3371856)CaDiCaL version: 2.1.3
% 3.56/0.90 % (3371856)Termination reason: Instruction limit
% 3.56/0.90 % (3371856)Termination phase: Property scanning
% 3.56/0.90 % (3371856)Time elapsed: 0.015 s
% 3.56/0.90 % (3371856)Peak memory usage: 10 MB
% 3.56/0.90 % (3371856)Instructions burned: 19 (million)
% 3.56/0.90 % (3371835)Instruction limit reached!
% 3.56/0.90 % (3371835)------------------------------
% 3.56/0.90 % (3371835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (3371835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (3371835)CaDiCaL version: 2.1.3
% 3.56/0.90 % (3371835)Termination reason: Instruction limit
% 3.56/0.90 % (3371835)Termination phase: Saturation
% 3.56/0.90 % (3371835)Time elapsed: 0.108 s
% 3.56/0.90 % (3371835)Peak memory usage: 12 MB
% 3.56/0.90 % (3371835)Instructions burned: 143 (million)
% 3.56/0.90 % (3371862)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=3862442250: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)
% 3.56/0.90 % (3371865)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2389778612:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.56/0.90 % (3371866)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4210091494:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.56/0.90 % (3371867)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1923673479:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.56/0.90 % (3371867)Instruction limit reached!
% 3.56/0.90 % (3371867)------------------------------
% 3.56/0.90 % (3371867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (3371867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (3371867)CaDiCaL version: 2.1.3
% 3.56/0.90 % (3371867)Termination reason: Instruction limit
% 3.56/0.90 % (3371867)Termination phase: shuffling
% 3.56/0.90 % (3371867)Time elapsed: 0.016 s
% 3.56/0.90 % (3371867)Peak memory usage: 10 MB
% 3.56/0.90 % (3371867)Instructions burned: 22 (million)
% 3.56/0.90 % (3371865)Instruction limit reached!
% 3.56/0.90 % (3371865)------------------------------
% 3.56/0.90 % (3371865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (3371865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (3371865)CaDiCaL version: 2.1.3
% 3.56/0.90 % (3371865)Termination reason: Instruction limit
% 3.56/0.90 % (3371865)Termination phase: SInE selection
% 3.56/0.90 % (3371865)Time elapsed: 0.034 s
% 3.56/0.90 % (3371865)Peak memory usage: 10 MB
% 3.56/0.90 % (3371865)Instructions burned: 46 (million)
% 3.56/0.90 % (3371873)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.56/0.90 % (3371873)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=846992588:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 4.07/0.99 % (3371866)Refutation not found, incomplete strategy
% 4.07/0.99 % (3371866)------------------------------
% 4.07/0.99 % (3371866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3371866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3371866)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3371866)Termination reason: Refutation not found, incomplete strategy
% 4.07/0.99 % (3371866)Time elapsed: 0.064 s
% 4.07/0.99 % (3371866)Peak memory usage: 13 MB
% 4.07/0.99 % (3371866)Instructions burned: 81 (million)
% 4.07/0.99 % (3371866)------------------------------
% 4.07/0.99 % (3371866)------------------------------
% 4.07/0.99 % (3371874)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1001263608:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 4.07/0.99 % (3371874)Instruction limit reached!
% 4.07/0.99 % (3371874)------------------------------
% 4.07/0.99 % (3371874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3371874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3371874)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3371874)Termination reason: Instruction limit
% 4.07/0.99 % (3371874)Termination phase: shuffling
% 4.07/0.99 % (3371874)Time elapsed: 0.012 s
% 4.07/0.99 % (3371874)Peak memory usage: 10 MB
% 4.07/0.99 % (3371874)Instructions burned: 14 (million)
% 4.07/0.99 % (3371873)Instruction limit reached!
% 4.07/0.99 % (3371873)------------------------------
% 4.07/0.99 % (3371873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3371873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3371873)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3371873)Termination reason: Instruction limit
% 4.07/0.99 % (3371873)Termination phase: Saturation
% 4.07/0.99 % (3371873)Time elapsed: 0.046 s
% 4.07/0.99 % (3371873)Peak memory usage: 13 MB
% 4.07/0.99 % (3371873)Instructions burned: 204 (million)
% 4.07/0.99 % (3371880)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=53742505:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 4.07/0.99 % (3371859)Instruction limit reached!
% 4.07/0.99 % (3371859)------------------------------
% 4.07/0.99 % (3371859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3371859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3371859)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3371859)Termination reason: Instruction limit
% 4.07/0.99 % (3371859)Termination phase: Saturation
% 4.07/0.99 % (3371859)Time elapsed: 0.146 s
% 4.07/0.99 % (3371859)Peak memory usage: 15 MB
% 4.07/0.99 % (3371859)Instructions burned: 316 (million)
% 4.07/0.99 % (3371880)Instruction limit reached!
% 4.07/0.99 % (3371880)------------------------------
% 4.07/0.99 % (3371880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3371880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3371880)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3371880)Termination reason: Instruction limit
% 4.07/0.99 % (3371880)Termination phase: Property scanning
% 4.07/0.99 % (3371880)Time elapsed: 0.008 s
% 4.07/0.99 % (3371880)Peak memory usage: 10 MB
% 4.07/0.99 % (3371880)Instructions burned: 36 (million)
% 4.07/0.99 % (3371878)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2384138033:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.07/0.99 % (3371879)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=140642825:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 4.07/0.99 % (3371883)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1835458786:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.07/0.99 % (3371883)Instruction limit reached!
% 4.07/0.99 % (3371883)------------------------------
% 4.07/0.99 % (3371883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3371883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3371883)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3371883)Termination reason: Instruction limit
% 4.07/0.99 % (3371883)Termination phase: Property scanning
% 4.07/0.99 % (3371883)Time elapsed: 0.013 s
% 5.77/1.12 % (3371883)Peak memory usage: 10 MB
% 5.77/1.12 % (3371883)Instructions burned: 36 (million)
% 5.77/1.12 % (3371882)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2341813525:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.77/1.12 % (3371889)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1019747147:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 5.77/1.12 % (3371879)Instruction limit reached!
% 5.77/1.12 % (3371879)------------------------------
% 5.77/1.12 % (3371879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.12 % (3371879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.12 % (3371879)CaDiCaL version: 2.1.3
% 5.77/1.12 % (3371879)Termination reason: Instruction limit
% 5.77/1.12 % (3371879)Termination phase: Function definition elimination
% 5.77/1.12 % (3371879)Time elapsed: 0.038 s
% 5.77/1.12 % (3371879)Peak memory usage: 10 MB
% 5.77/1.12 % (3371879)Instructions burned: 51 (million)
% 5.77/1.12 % (3371878)Instruction limit reached!
% 5.77/1.12 % (3371878)------------------------------
% 5.77/1.12 % (3371878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.12 % (3371878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.12 % (3371878)CaDiCaL version: 2.1.3
% 5.77/1.12 % (3371878)Termination reason: Instruction limit
% 5.77/1.12 % (3371878)Termination phase: Property scanning
% 5.77/1.12 % (3371878)Time elapsed: 0.050 s
% 5.77/1.12 % (3371878)Peak memory usage: 11 MB
% 5.77/1.12 % (3371878)Instructions burned: 66 (million)
% 5.77/1.12 % (3371889)Instruction limit reached!
% 5.77/1.12 % (3371889)------------------------------
% 5.77/1.12 % (3371889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.12 % (3371889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.12 % (3371889)CaDiCaL version: 2.1.3
% 5.77/1.12 % (3371889)Termination reason: Instruction limit
% 5.77/1.12 % (3371889)Termination phase: Property scanning
% 5.77/1.12 % (3371889)Time elapsed: 0.026 s
% 5.77/1.12 % (3371889)Peak memory usage: 11 MB
% 5.77/1.12 % (3371889)Instructions burned: 68 (million)
% 5.77/1.12 % (3371892)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.77/1.12 % (3371892)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4163238734:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.77/1.12 % (3371893)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1575220748:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.77/1.12 % (3371770)Instruction limit reached!
% 5.77/1.12 % (3371770)------------------------------
% 5.77/1.12 % (3371770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.12 % (3371770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.12 % (3371770)CaDiCaL version: 2.1.3
% 5.77/1.12 % (3371770)Termination reason: Instruction limit
% 5.77/1.12 % (3371770)Termination phase: Saturation
% 5.77/1.12 % (3371770)Time elapsed: 0.554 s
% 5.77/1.12 % (3371770)Peak memory usage: 16 MB
% 5.77/1.12 % (3371770)Instructions burned: 635 (million)
% 5.77/1.12 % (3371894)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4123578838:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.77/1.12 % (3371899)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=58315214:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.77/1.12 % (3371893)Refutation not found, incomplete strategy
% 5.77/1.12 % (3371893)------------------------------
% 5.77/1.12 % (3371893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.12 % (3371893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.12 % (3371893)CaDiCaL version: 2.1.3
% 5.77/1.12 % (3371893)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.12 % (3371893)Time elapsed: 0.036 s
% 5.77/1.12 % (3371893)Peak memory usage: 12 MB
% 5.77/1.12 % (3371893)Instructions burned: 46 (million)
% 5.77/1.12 % (3371893)------------------------------
% 5.77/1.12 % (3371893)------------------------------
% 5.77/1.12 % (3371894)Instruction limit reached!
% 5.77/1.12 % (3371894)------------------------------
% 5.77/1.12 % (3371894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.44/1.22 % (3371894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.22 % (3371894)CaDiCaL version: 2.1.3
% 6.44/1.22 % (3371894)Termination reason: Instruction limit
% 6.44/1.22 % (3371894)Termination phase: Property scanning
% 6.44/1.22 % (3371894)Time elapsed: 0.038 s
% 6.44/1.22 % (3371894)Peak memory usage: 11 MB
% 6.44/1.22 % (3371894)Instructions burned: 98 (million)
% 6.44/1.22 % (3371899)Refutation not found, incomplete strategy
% 6.44/1.22 % (3371899)------------------------------
% 6.44/1.22 % (3371899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.44/1.22 % (3371899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.22 % (3371899)CaDiCaL version: 2.1.3
% 6.44/1.22 % (3371899)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.22 % (3371899)Time elapsed: 0.022 s
% 6.44/1.22 % (3371899)Peak memory usage: 12 MB
% 6.44/1.22 % (3371899)Instructions burned: 42 (million)
% 6.44/1.22 % (3371899)------------------------------
% 6.44/1.22 % (3371899)------------------------------
% 6.44/1.22 % (3371882)Instruction limit reached!
% 6.44/1.22 % (3371882)------------------------------
% 6.44/1.22 % (3371882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.44/1.22 % (3371882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.22 % (3371882)CaDiCaL version: 2.1.3
% 6.44/1.22 % (3371882)Termination reason: Instruction limit
% 6.44/1.22 % (3371882)Termination phase: Saturation
% 6.44/1.22 % (3371882)Time elapsed: 0.118 s
% 6.44/1.22 % (3371882)Peak memory usage: 13 MB
% 6.44/1.22 % (3371882)Instructions burned: 137 (million)
% 6.44/1.22 % (3371904)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2977173930:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 6.44/1.22 % (3371902)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2534581201:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 6.44/1.22 % (3371903)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1240553482:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 6.44/1.22 % (3371905)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1760649785:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 6.44/1.22 % (3371904)Refutation not found, incomplete strategy
% 6.44/1.22 % (3371904)------------------------------
% 6.44/1.22 % (3371904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.44/1.22 % (3371904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.22 % (3371904)CaDiCaL version: 2.1.3
% 6.44/1.22 % (3371904)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.22 % (3371904)Time elapsed: 0.045 s
% 6.44/1.22 % (3371904)Peak memory usage: 13 MB
% 6.44/1.22 % (3371904)Instructions burned: 91 (million)
% 6.44/1.22 % (3371904)------------------------------
% 6.44/1.22 % (3371904)------------------------------
% 6.44/1.22 % (3371902)Refutation not found, incomplete strategy
% 6.44/1.22 % (3371902)------------------------------
% 6.44/1.22 % (3371902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.44/1.22 % (3371902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.22 % (3371902)CaDiCaL version: 2.1.3
% 6.44/1.22 % (3371902)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.22 % (3371902)Time elapsed: 0.051 s
% 6.44/1.22 % (3371902)Peak memory usage: 13 MB
% 6.44/1.22 % (3371902)Instructions burned: 66 (million)
% 6.44/1.22 % (3371902)------------------------------
% 6.44/1.22 % (3371902)------------------------------
% 6.44/1.22 % (3371905)Instruction limit reached!
% 6.44/1.22 % (3371905)------------------------------
% 6.44/1.22 % (3371905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.44/1.22 % (3371905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.22 % (3371905)CaDiCaL version: 2.1.3
% 6.44/1.22 % (3371905)Termination reason: Instruction limit
% 6.44/1.22 % (3371905)Termination phase: Function definition elimination
% 6.44/1.22 % (3371905)Time elapsed: 0.034 s
% 6.44/1.22 % (3371905)Peak memory usage: 10 MB
% 6.44/1.22 % (3371905)Instructions burned: 44 (million)
% 6.44/1.22 % (3371892)Instruction limit reached!
% 6.44/1.22 % (3371892)------------------------------
% 6.44/1.22 % (3371892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.44/1.22 % (3371892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.35 % (3371892)CaDiCaL version: 2.1.3
% 6.96/1.35 % (3371892)Termination reason: Instruction limit
% 6.96/1.35 % (3371892)Termination phase: Saturation
% 6.96/1.35 % (3371892)Time elapsed: 0.137 s
% 6.96/1.35 % (3371892)Peak memory usage: 12 MB
% 6.96/1.35 % (3371892)Instructions burned: 180 (million)
% 6.96/1.35 % (3371910)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3256025243:s2a=on:i=571:nm=16:rtra=on_2992 on theBenchmark for (2992ds/571Mi)
% 6.96/1.35 % (3371912)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1549746950:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 6.96/1.35 % (3371913)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2711176318:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 6.96/1.35 % (3371914)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3647514105:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2992 on theBenchmark for (2992ds/65Mi)
% 6.96/1.35 % (3371914)Instruction limit reached!
% 6.96/1.35 % (3371914)------------------------------
% 6.96/1.35 % (3371914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.35 % (3371914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.35 % (3371914)CaDiCaL version: 2.1.3
% 6.96/1.35 % (3371914)Termination reason: Instruction limit
% 6.96/1.35 % (3371914)Termination phase: Property scanning
% 6.96/1.35 % (3371914)Time elapsed: 0.049 s
% 6.96/1.35 % (3371914)Peak memory usage: 11 MB
% 6.96/1.35 % (3371914)Instructions burned: 65 (million)
% 6.96/1.35 % (3371913)Instruction limit reached!
% 6.96/1.35 % (3371913)------------------------------
% 6.96/1.35 % (3371913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.35 % (3371913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.35 % (3371913)CaDiCaL version: 2.1.3
% 6.96/1.35 % (3371913)Termination reason: Instruction limit
% 6.96/1.35 % (3371913)Termination phase: Property scanning
% 6.96/1.35 % (3371913)Time elapsed: 0.071 s
% 6.96/1.35 % (3371913)Peak memory usage: 11 MB
% 6.96/1.35 % (3371913)Instructions burned: 96 (million)
% 6.96/1.35 % (3371910)Refutation not found, incomplete strategy
% 6.96/1.35 % (3371910)------------------------------
% 6.96/1.35 % (3371910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.35 % (3371910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.35 % (3371910)CaDiCaL version: 2.1.3
% 6.96/1.35 % (3371910)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.35 % (3371910)Time elapsed: 0.086 s
% 6.96/1.35 % (3371910)Peak memory usage: 13 MB
% 6.96/1.35 % (3371910)Instructions burned: 85 (million)
% 6.96/1.35 % (3371910)------------------------------
% 6.96/1.35 % (3371910)------------------------------
% 6.96/1.35 % (3371903)Refutation not found, incomplete strategy
% 6.96/1.35 % (3371903)------------------------------
% 6.96/1.35 % (3371903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.35 % (3371903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.35 % (3371903)CaDiCaL version: 2.1.3
% 6.96/1.35 % (3371903)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.35 % (3371903)Time elapsed: 0.173 s
% 6.96/1.35 % (3371903)Peak memory usage: 13 MB
% 6.96/1.35 % (3371903)Instructions burned: 219 (million)
% 6.96/1.35 % (3371921)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1408433613:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2991 on theBenchmark for (2991ds/105Mi)
% 6.96/1.35 % (3371903)------------------------------
% 6.96/1.35 % (3371903)------------------------------
% 6.96/1.35 % (3371923)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=469929525:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 6.96/1.35 % (3371922)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2965662393:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 7.67/1.51 % (3371926)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3914724163:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 7.67/1.51 % (3371923)Refutation not found, incomplete strategy
% 7.67/1.51 % (3371923)------------------------------
% 7.67/1.51 % (3371923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.51 % (3371923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.51 % (3371923)CaDiCaL version: 2.1.3
% 7.67/1.51 % (3371923)Termination reason: Refutation not found, incomplete strategy
% 7.67/1.51 % (3371923)Time elapsed: 0.025 s
% 7.67/1.51 % (3371923)Peak memory usage: 13 MB
% 7.67/1.51 % (3371923)Instructions burned: 51 (million)
% 7.67/1.51 % (3371923)------------------------------
% 7.67/1.51 % (3371923)------------------------------
% 7.67/1.51 % (3371921)Instruction limit reached!
% 7.67/1.51 % (3371921)------------------------------
% 7.67/1.51 % (3371921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.51 % (3371921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.51 % (3371921)CaDiCaL version: 2.1.3
% 7.67/1.51 % (3371921)Termination reason: Instruction limit
% 7.67/1.51 % (3371921)Termination phase: Saturation
% 7.67/1.51 % (3371921)Time elapsed: 0.044 s
% 7.67/1.51 % (3371921)Peak memory usage: 12 MB
% 7.67/1.51 % (3371921)Instructions burned: 111 (million)
% 7.67/1.51 % (3371922)Refutation not found, incomplete strategy
% 7.67/1.51 % (3371922)------------------------------
% 7.67/1.51 % (3371922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.51 % (3371922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.51 % (3371922)CaDiCaL version: 2.1.3
% 7.67/1.51 % (3371922)Termination reason: Refutation not found, incomplete strategy
% 7.67/1.51 % (3371922)Time elapsed: 0.040 s
% 7.67/1.51 % (3371922)Peak memory usage: 13 MB
% 7.67/1.51 % (3371922)Instructions burned: 50 (million)
% 7.67/1.51 % (3371922)------------------------------
% 7.67/1.51 % (3371922)------------------------------
% 7.67/1.51 % (3371932)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3137813136:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 7.67/1.51 % (3371931)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=227847576:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 7.67/1.51 % (3371933)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3227836833:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 7.67/1.51 % (3371931)Instruction limit reached!
% 7.67/1.51 % (3371931)------------------------------
% 7.67/1.51 % (3371931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.51 % (3371931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.51 % (3371931)CaDiCaL version: 2.1.3
% 7.67/1.51 % (3371931)Termination reason: Instruction limit
% 7.67/1.51 % (3371931)Termination phase: Property scanning
% 7.67/1.51 % (3371931)Time elapsed: 0.027 s
% 7.67/1.51 % (3371931)Peak memory usage: 10 MB
% 7.67/1.51 % (3371931)Instructions burned: 35 (million)
% 7.67/1.51 % (3371933)Refutation not found, incomplete strategy
% 7.67/1.51 % (3371933)------------------------------
% 7.67/1.51 % (3371933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.51 % (3371933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.51 % (3371933)CaDiCaL version: 2.1.3
% 7.67/1.51 % (3371933)Termination reason: Refutation not found, incomplete strategy
% 7.67/1.51 % (3371933)Time elapsed: 0.018 s
% 7.67/1.51 % (3371933)Peak memory usage: 13 MB
% 7.67/1.51 % (3371933)Instructions burned: 46 (million)
% 7.67/1.51 % (3371933)------------------------------
% 7.67/1.51 % (3371933)------------------------------
% 7.67/1.51 % (3371932)Instruction limit reached!
% 7.67/1.51 % (3371932)------------------------------
% 7.67/1.51 % (3371932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.51 % (3371932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.51 % (3371932)CaDiCaL version: 2.1.3
% 7.67/1.51 % (3371932)Termination reason: Instruction limit
% 7.67/1.51 % (3371932)Termination phase: Property scanning
% 8.50/1.60 % (3371932)Time elapsed: 0.053 s
% 8.50/1.60 % (3371932)Peak memory usage: 11 MB
% 8.50/1.60 % (3371932)Instructions burned: 91 (million)
% 8.50/1.60 % (3371939)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2399773499:i=338:bd=all:ins=4:rtra=on_2990 on theBenchmark for (2990ds/338Mi)
% 8.50/1.60 % (3371938)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2494839171:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 8.50/1.60 % (3371938)Instruction limit reached!
% 8.50/1.60 % (3371938)------------------------------
% 8.50/1.60 % (3371938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.60 % (3371938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.60 % (3371938)CaDiCaL version: 2.1.3
% 8.50/1.60 % (3371938)Termination reason: Instruction limit
% 8.50/1.60 % (3371938)Termination phase: Property scanning
% 8.50/1.60 % (3371938)Time elapsed: 0.010 s
% 8.50/1.60 % (3371938)Peak memory usage: 10 MB
% 8.50/1.60 % (3371938)Instructions burned: 24 (million)
% 8.50/1.60 % (3371832)Instruction limit reached!
% 8.50/1.60 % (3371832)------------------------------
% 8.50/1.60 % (3371832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.60 % (3371832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.60 % (3371832)CaDiCaL version: 2.1.3
% 8.50/1.60 % (3371832)Termination reason: Instruction limit
% 8.50/1.60 % (3371832)Termination phase: Saturation
% 8.50/1.60 % (3371832)Time elapsed: 0.711 s
% 8.50/1.60 % (3371832)Peak memory usage: 16 MB
% 8.50/1.60 % (3371832)Instructions burned: 1241 (million)
% 8.50/1.60 % (3371944)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 8.50/1.60 % (3371941)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3649329857:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/28Mi)
% 8.50/1.60 % (3371944)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2146178750:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/137Mi)
% 8.50/1.60 % (3371945)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=717115993:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/340Mi)
% 8.50/1.60 % (3371941)Instruction limit reached!
% 8.50/1.60 % (3371941)------------------------------
% 8.50/1.60 % (3371941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.60 % (3371941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.60 % (3371941)CaDiCaL version: 2.1.3
% 8.50/1.60 % (3371941)Termination reason: Instruction limit
% 8.50/1.60 % (3371941)Termination phase: Property scanning
% 8.50/1.60 % (3371941)Time elapsed: 0.022 s
% 8.50/1.60 % (3371941)Peak memory usage: 10 MB
% 8.50/1.60 % (3371941)Instructions burned: 29 (million)
% 8.50/1.60 % (3371950)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=522647549:i=227:sd=1:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/227Mi)
% 8.50/1.60 % (3371944)Instruction limit reached!
% 8.50/1.60 % (3371944)------------------------------
% 8.50/1.60 % (3371944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.60 % (3371944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.60 % (3371944)CaDiCaL version: 2.1.3
% 8.50/1.60 % (3371944)Termination reason: Instruction limit
% 8.50/1.60 % (3371944)Termination phase: Saturation
% 8.50/1.60 % (3371944)Time elapsed: 0.074 s
% 8.50/1.60 % (3371944)Peak memory usage: 12 MB
% 8.50/1.60 % (3371944)Instructions burned: 138 (million)
% 8.50/1.60 % (3371950)Refutation not found, incomplete strategy
% 8.50/1.60 % (3371950)------------------------------
% 8.50/1.60 % (3371950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.60 % (3371950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.60 % (3371950)CaDiCaL version: 2.1.3
% 8.50/1.60 % (3371950)Termination reason: Refutation not found, incomplete strategy
% 8.50/1.60 % (3371950)Time elapsed: 0.032 s
% 8.50/1.60 % (3371950)Peak memory usage: 13 MB
% 8.50/1.60 % (3371950)Instructions burned: 41 (million)
% 8.50/1.60 % (3371862)Instruction limit reached!
% 8.50/1.70 % (3371862)------------------------------
% 8.50/1.70 % (3371862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.70 % (3371862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.70 % (3371862)CaDiCaL version: 2.1.3
% 8.50/1.70 % (3371862)Termination reason: Instruction limit
% 8.50/1.70 % (3371862)Termination phase: Saturation
% 8.50/1.70 % (3371862)Time elapsed: 0.690 s
% 8.50/1.70 % (3371862)Peak memory usage: 17 MB
% 8.50/1.70 % (3371862)Instructions burned: 853 (million)
% 8.50/1.70 % (3371950)------------------------------
% 8.50/1.70 % (3371950)------------------------------
% 8.50/1.70 % (3371953)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 8.50/1.70 % (3371953)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1631810411:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/373Mi)
% 8.50/1.70 % (3371939)Instruction limit reached!
% 8.50/1.70 % (3371939)------------------------------
% 8.50/1.70 % (3371939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.70 % (3371939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.70 % (3371939)CaDiCaL version: 2.1.3
% 8.50/1.70 % (3371939)Termination reason: Instruction limit
% 8.50/1.70 % (3371939)Termination phase: Saturation
% 8.50/1.70 % (3371939)Time elapsed: 0.142 s
% 8.50/1.70 % (3371939)Peak memory usage: 16 MB
% 8.50/1.70 % (3371939)Instructions burned: 340 (million)
% 8.50/1.70 % (3371912)Instruction limit reached!
% 8.50/1.70 % (3371912)------------------------------
% 8.50/1.70 % (3371912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.70 % (3371912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.70 % (3371912)CaDiCaL version: 2.1.3
% 8.50/1.70 % (3371912)Termination reason: Instruction limit
% 8.50/1.70 % (3371912)Termination phase: Saturation
% 8.50/1.70 % (3371912)Time elapsed: 0.357 s
% 8.50/1.70 % (3371912)Peak memory usage: 16 MB
% 8.50/1.70 % (3371912)Instructions burned: 451 (million)
% 8.50/1.70 % (3371954)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1562224814:i=116:ep=RSTC:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/116Mi)
% 8.50/1.70 % (3371955)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1546110754:i=575:rtra=on_2989 on theBenchmark for (2989ds/575Mi)
% 8.50/1.70 % (3371957)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2487753852:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 8.50/1.70 % (3371958)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=1496679885:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2988 on theBenchmark for (2988ds/9840Mi)
% 8.50/1.70 % (3371954)Instruction limit reached!
% 8.50/1.70 % (3371954)------------------------------
% 8.50/1.70 % (3371954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.50/1.70 % (3371954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/1.70 % (3371954)CaDiCaL version: 2.1.3
% 9.44/1.70 % (3371954)Termination reason: Instruction limit
% 9.44/1.70 % (3371954)Termination phase: Saturation
% 9.44/1.70 % (3371954)Time elapsed: 0.088 s
% 9.44/1.70 % (3371954)Peak memory usage: 12 MB
% 9.44/1.70 % (3371954)Instructions burned: 116 (million)
% 9.44/1.70 % (3371965)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3147666297:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 9.44/1.70 % (3371957)Instruction limit reached!
% 9.44/1.70 % (3371957)------------------------------
% 9.44/1.70 % (3371957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/1.70 % (3371957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/1.70 % (3371957)CaDiCaL version: 2.1.3
% 9.44/1.70 % (3371957)Termination reason: Instruction limit
% 9.44/1.70 % (3371957)Termination phase: Saturation
% 9.44/1.70 % (3371957)Time elapsed: 0.109 s
% 9.44/1.70 % (3371957)Peak memory usage: 14 MB
% 9.44/1.70 % (3371957)Instructions burned: 272 (million)
% 9.44/1.70 % (3371968)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 10.02/1.91 % (3371968)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1889009787:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 10.02/1.91 % (3371965)Refutation not found, incomplete strategy
% 10.02/1.91 % (3371965)------------------------------
% 10.02/1.91 % (3371965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.91 % (3371965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.91 % (3371965)CaDiCaL version: 2.1.3
% 10.02/1.91 % (3371965)Termination reason: Refutation not found, incomplete strategy
% 10.02/1.91 % (3371965)Time elapsed: 0.027 s
% 10.02/1.91 % (3371965)Peak memory usage: 12 MB
% 10.02/1.91 % (3371965)Instructions burned: 42 (million)
% 10.02/1.91 % (3371965)------------------------------
% 10.02/1.91 % (3371965)------------------------------
% 10.02/1.91 % (3371926)Instruction limit reached!
% 10.02/1.91 % (3371926)------------------------------
% 10.02/1.91 % (3371926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.91 % (3371926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.91 % (3371926)CaDiCaL version: 2.1.3
% 10.02/1.91 % (3371926)Termination reason: Instruction limit
% 10.02/1.91 % (3371926)Termination phase: Saturation
% 10.02/1.91 % (3371926)Time elapsed: 0.384 s
% 10.02/1.91 % (3371926)Peak memory usage: 17 MB
% 10.02/1.91 % (3371926)Instructions burned: 495 (million)
% 10.02/1.91 % (3371973)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 10.02/1.91 % (3371973)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
% 10.02/1.91 % (3371945)Instruction limit reached!
% 10.02/1.91 % (3371945)------------------------------
% 10.02/1.91 % (3371945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.91 % (3371945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.91 % (3371945)CaDiCaL version: 2.1.3
% 10.02/1.91 % (3371945)Termination reason: Instruction limit
% 10.02/1.91 % (3371945)Termination phase: Saturation
% 10.02/1.91 % (3371945)Time elapsed: 0.270 s
% 10.02/1.91 % (3371945)Peak memory usage: 15 MB
% 10.02/1.91 % (3371945)Instructions burned: 341 (million)
% 10.02/1.91 % (3371973)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=337006643:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2987 on theBenchmark for (2987ds/1440Mi)
% 10.02/1.91 % (3371970)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1552594439:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 10.02/1.91 % (3371970)Instruction limit reached!
% 10.02/1.91 % (3371970)------------------------------
% 10.02/1.91 % (3371970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.91 % (3371970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.91 % (3371970)CaDiCaL version: 2.1.3
% 10.02/1.91 % (3371970)Termination reason: Instruction limit
% 10.02/1.91 % (3371970)Termination phase: Property scanning
% 10.02/1.91 % (3371970)Time elapsed: 0.014 s
% 10.02/1.91 % (3371970)Peak memory usage: 10 MB
% 10.02/1.91 % (3371970)Instructions burned: 33 (million)
% 10.02/1.91 % (3371975)dis+10_2_sil=128000:si=on:random_seed=309215216:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2987 on theBenchmark for (2987ds/339Mi)
% 10.02/1.91 % (3371979)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1577634479:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 10.02/1.91 % (3371955)Refutation not found, incomplete strategy
% 10.02/1.91 % (3371955)------------------------------
% 10.02/1.91 % (3371955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.91 % (3371955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.91 % (3371955)CaDiCaL version: 2.1.3
% 10.02/1.91 % (3371955)Termination reason: Refutation not found, incomplete strategy
% 10.02/1.91 % (3371955)Time elapsed: 0.224 s
% 10.02/1.91 % (3371955)Peak memory usage: 15 MB
% 10.02/1.91 % (3371955)Instructions burned: 287 (million)
% 12.51/2.04 % (3371955)------------------------------
% 12.51/2.04 % (3371955)------------------------------
% 12.51/2.04 % (3371968)Instruction limit reached!
% 12.51/2.04 % (3371968)------------------------------
% 12.51/2.04 % (3371968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.04 % (3371968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.04 % (3371968)CaDiCaL version: 2.1.3
% 12.51/2.04 % (3371968)Termination reason: Instruction limit
% 12.51/2.04 % (3371968)Termination phase: Saturation
% 12.51/2.04 % (3371968)Time elapsed: 0.105 s
% 12.51/2.04 % (3371968)Peak memory usage: 14 MB
% 12.51/2.04 % (3371968)Instructions burned: 270 (million)
% 12.51/2.04 % (3371984)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=120217794:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/136Mi)
% 12.51/2.04 % (3371983)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=128306352:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/122Mi)
% 12.51/2.04 % (3371953)Instruction limit reached!
% 12.51/2.04 % (3371953)------------------------------
% 12.51/2.04 % (3371953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.04 % (3371953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.04 % (3371953)CaDiCaL version: 2.1.3
% 12.51/2.04 % (3371953)Termination reason: Instruction limit
% 12.51/2.04 % (3371953)Termination phase: Saturation
% 12.51/2.04 % (3371953)Time elapsed: 0.289 s
% 12.51/2.04 % (3371953)Peak memory usage: 14 MB
% 12.51/2.04 % (3371953)Instructions burned: 373 (million)
% 12.51/2.04 % (3371979)Instruction limit reached!
% 12.51/2.04 % (3371979)------------------------------
% 12.51/2.04 % (3371979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.04 % (3371979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.04 % (3371979)CaDiCaL version: 2.1.3
% 12.51/2.04 % (3371979)Termination reason: Instruction limit
% 12.51/2.04 % (3371979)Termination phase: Saturation
% 12.51/2.04 % (3371979)Time elapsed: 0.076 s
% 12.51/2.04 % (3371979)Peak memory usage: 12 MB
% 12.51/2.04 % (3371979)Instructions burned: 112 (million)
% 12.51/2.04 % (3371988)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3195698209:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/232Mi)
% 12.51/2.04 % (3371983)Refutation not found, incomplete strategy
% 12.51/2.04 % (3371983)------------------------------
% 12.51/2.04 % (3371983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.04 % (3371983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.04 % (3371983)CaDiCaL version: 2.1.3
% 12.51/2.04 % (3371983)Termination reason: Refutation not found, incomplete strategy
% 12.51/2.04 % (3371983)Time elapsed: 0.039 s
% 12.51/2.04 % (3371983)Peak memory usage: 12 MB
% 12.51/2.04 % (3371983)Instructions burned: 49 (million)
% 12.51/2.04 % (3371983)------------------------------
% 12.51/2.04 % (3371983)------------------------------
% 12.51/2.04 % (3371988)Refutation not found, incomplete strategy
% 12.51/2.04 % (3371988)------------------------------
% 12.51/2.04 % (3371988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.04 % (3371988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.04 % (3371988)CaDiCaL version: 2.1.3
% 12.51/2.04 % (3371988)Termination reason: Refutation not found, incomplete strategy
% 12.51/2.04 % (3371988)Time elapsed: 0.018 s
% 12.51/2.04 % (3371988)Peak memory usage: 12 MB
% 12.51/2.04 % (3371988)Instructions burned: 46 (million)
% 12.51/2.04 % (3371988)------------------------------
% 12.51/2.04 % (3371988)------------------------------
% 12.51/2.04 % (3371991)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=4291557533:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/1254Mi)
% 12.51/2.04 % (3371984)Instruction limit reached!
% 12.51/2.04 % (3371984)------------------------------
% 12.51/2.04 % (3371984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.04 % (3371984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.04 % (3371984)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3371984)Termination reason: Instruction limit
% 13.73/2.36 % (3371984)Termination phase: Saturation
% 13.73/2.36 % (3371984)Time elapsed: 0.061 s
% 13.73/2.36 % (3371984)Peak memory usage: 12 MB
% 13.73/2.36 % (3371984)Instructions burned: 137 (million)
% 13.73/2.36 % (3371994)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2777857891:i=619:add=on:rtra=on_2985 on theBenchmark for (2985ds/619Mi)
% 13.73/2.36 % (3371993)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.73/2.36 % (3371993)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=1834838522:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2985 on theBenchmark for (2985ds/281Mi)
% 13.73/2.36 % (3371996)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3304701286:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/865Mi)
% 13.73/2.36 % (3371994)Refutation not found, incomplete strategy
% 13.73/2.36 % (3371994)------------------------------
% 13.73/2.36 % (3371994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3371994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3371994)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3371994)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.36 % (3371994)Time elapsed: 0.110 s
% 13.73/2.36 % (3371994)Peak memory usage: 15 MB
% 13.73/2.36 % (3371994)Instructions burned: 275 (million)
% 13.73/2.36 % (3371994)------------------------------
% 13.73/2.36 % (3371994)------------------------------
% 13.73/2.36 % (3372002)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3263780775:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2984 on theBenchmark for (2984ds/212Mi)
% 13.73/2.36 % (3372002)Refutation not found, incomplete strategy
% 13.73/2.36 % (3372002)------------------------------
% 13.73/2.36 % (3372002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372002)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372002)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.36 % (3372002)Time elapsed: 0.022 s
% 13.73/2.36 % (3372002)Peak memory usage: 12 MB
% 13.73/2.36 % (3372002)Instructions burned: 55 (million)
% 13.73/2.36 % (3372002)------------------------------
% 13.73/2.36 % (3372002)------------------------------
% 13.73/2.36 % (3371975)Instruction limit reached!
% 13.73/2.36 % (3371975)------------------------------
% 13.73/2.36 % (3371975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3371975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3371975)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3371975)Termination reason: Instruction limit
% 13.73/2.36 % (3371975)Termination phase: Saturation
% 13.73/2.36 % (3371975)Time elapsed: 0.284 s
% 13.73/2.36 % (3371975)Peak memory usage: 13 MB
% 13.73/2.36 % (3371975)Instructions burned: 339 (million)
% 13.73/2.36 % (3372004)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=199495077:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/130Mi)
% 13.73/2.36 % (3372005)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4093681373:st=1.5:i=346:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/346Mi)
% 13.73/2.36 % (3372004)Refutation not found, incomplete strategy
% 13.73/2.36 % (3372004)------------------------------
% 13.73/2.36 % (3372004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372004)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372004)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.36 % (3372004)Time elapsed: 0.019 s
% 13.73/2.36 % (3372004)Peak memory usage: 12 MB
% 13.73/2.36 % (3372004)Instructions burned: 46 (million)
% 13.73/2.36 % (3372004)------------------------------
% 13.73/2.36 % (3372004)------------------------------
% 13.73/2.36 % (3371991)Refutation not found, incomplete strategy
% 13.73/2.36 % (3371991)------------------------------
% 13.73/2.36 % (3371991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3371991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3371991)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3371991)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.36 % (3371991)Time elapsed: 0.214 s
% 13.73/2.36 % (3371991)Peak memory usage: 15 MB
% 13.73/2.36 % (3371991)Instructions burned: 282 (million)
% 13.73/2.36 % (3371991)------------------------------
% 13.73/2.36 % (3371991)------------------------------
% 13.73/2.36 % (3372009)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=908401985:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/152Mi)
% 13.73/2.36 % (3371993)Instruction limit reached!
% 13.73/2.36 % (3371993)------------------------------
% 13.73/2.36 % (3371993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3371993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3371993)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3371993)Termination reason: Instruction limit
% 13.73/2.36 % (3371993)Termination phase: Saturation
% 13.73/2.36 % (3371993)Time elapsed: 0.215 s
% 13.73/2.36 % (3371993)Peak memory usage: 13 MB
% 13.73/2.36 % (3371993)Instructions burned: 282 (million)
% 13.73/2.36 % (3372014)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=4138064004:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/387Mi)
% 13.73/2.36 % (3372011)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2258092320:i=75:ep=R:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/75Mi)
% 13.73/2.36 % (3372014)Refutation not found, incomplete strategy
% 13.73/2.36 % (3372014)------------------------------
% 13.73/2.36 % (3372014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372014)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372014)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.36 % (3372014)Time elapsed: 0.019 s
% 13.73/2.36 % (3372014)Peak memory usage: 13 MB
% 13.73/2.36 % (3372014)Instructions burned: 46 (million)
% 13.73/2.36 % (3372005)Refutation not found, incomplete strategy
% 13.73/2.36 % (3372005)------------------------------
% 13.73/2.36 % (3372005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372005)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372005)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.36 % (3372005)Time elapsed: 0.072 s
% 13.73/2.36 % (3372005)Peak memory usage: 13 MB
% 13.73/2.36 % (3372005)Instructions burned: 91 (million)
% 13.73/2.36 % (3372014)------------------------------
% 13.73/2.36 % (3372014)------------------------------
% 13.73/2.36 % (3372005)------------------------------
% 13.73/2.36 % (3372005)------------------------------
% 13.73/2.36 % (3372018)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3554954910:i=161:piset=and:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/161Mi)
% 13.73/2.36 % (3372017)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=2895105128:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2982 on theBenchmark for (2982ds/148Mi)
% 13.73/2.36 % (3372011)Instruction limit reached!
% 13.73/2.36 % (3372011)------------------------------
% 13.73/2.36 % (3372011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372011)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372011)Termination reason: Instruction limit
% 13.73/2.36 % (3372011)Termination phase: Property scanning
% 13.73/2.36 % (3372011)Time elapsed: 0.054 s
% 13.73/2.36 % (3372011)Peak memory usage: 11 MB
% 13.73/2.36 % (3372011)Instructions burned: 75 (million)
% 13.73/2.36 % (3372009)Instruction limit reached!
% 13.73/2.36 % (3372009)------------------------------
% 13.73/2.36 % (3372009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372009)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372009)Termination reason: Instruction limit
% 13.73/2.36 % (3372009)Termination phase: Saturation
% 13.73/2.36 % (3372009)Time elapsed: 0.083 s
% 13.73/2.36 % (3372009)Peak memory usage: 13 MB
% 13.73/2.36 % (3372009)Instructions burned: 152 (million)
% 13.73/2.36 % (3372023)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1989812218:i=136:add=on:ins=4:rtra=on:sup=off_2982 on theBenchmark for (2982ds/136Mi)
% 13.73/2.36 % (3372022)lrs+10_1_sil=128000:si=on:random_seed=4287791200:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/888Mi)
% 13.73/2.36 % (3372018)Instruction limit reached!
% 13.73/2.36 % (3372018)------------------------------
% 13.73/2.36 % (3372018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372018)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372018)Termination reason: Instruction limit
% 13.73/2.36 % (3372018)Termination phase: Saturation
% 13.73/2.36 % (3372018)Time elapsed: 0.069 s
% 13.73/2.36 % (3372018)Peak memory usage: 13 MB
% 13.73/2.36 % (3372018)Instructions burned: 162 (million)
% 13.73/2.36 % (3372027)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=672173879:i=88:s2at=3:nm=2:rtra=on:rawr=on_2981 on theBenchmark for (2981ds/88Mi)
% 13.73/2.36 % (3372017)Instruction limit reached!
% 13.73/2.36 % (3372017)------------------------------
% 13.73/2.36 % (3372017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372017)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372017)Termination reason: Instruction limit
% 13.73/2.36 % (3372017)Termination phase: Saturation
% 13.73/2.36 % (3372017)Time elapsed: 0.125 s
% 13.73/2.36 % (3372017)Peak memory usage: 13 MB
% 13.73/2.36 % (3372017)Instructions burned: 148 (million)
% 13.73/2.36 % (3372031)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1133553693:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2981 on theBenchmark for (2981ds/93Mi)
% 13.73/2.36 % (3372023)Instruction limit reached!
% 13.73/2.36 % (3372023)------------------------------
% 13.73/2.36 % (3372023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372023)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372023)Termination reason: Instruction limit
% 13.73/2.36 % (3372023)Termination phase: Saturation
% 13.73/2.36 % (3372023)Time elapsed: 0.105 s
% 13.73/2.36 % (3372023)Peak memory usage: 12 MB
% 13.73/2.36 % (3372023)Instructions burned: 136 (million)
% 13.73/2.36 % (3372027)Instruction limit reached!
% 13.73/2.36 % (3372027)------------------------------
% 13.73/2.36 % (3372027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372027)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372027)Termination reason: Instruction limit
% 13.73/2.36 % (3372027)Termination phase: Property scanning
% 13.73/2.36 % (3372027)Time elapsed: 0.060 s
% 13.73/2.36 % (3372027)Peak memory usage: 11 MB
% 13.73/2.36 % (3372027)Instructions burned: 88 (million)
% 13.73/2.36 % (3372034)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2783678538:s2a=on:i=240:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/240Mi)
% 13.73/2.36 % (3372031)Instruction limit reached!
% 13.73/2.36 % (3372031)------------------------------
% 13.73/2.36 % (3372031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.36 % (3372031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.36 % (3372031)CaDiCaL version: 2.1.3
% 13.73/2.36 % (3372031)Termination reason: Instruction limit
% 13.73/2.36 % (3372031)Termination phase: Property scanning
% 13.73/2.36 % (3372031)Time elapsed: 0.039 s
% 13.73/2.36 % (3372031)Peak memory usage: 11 MB
% 13.73/2.36 % (3372031)Instructions burned: 95 (million)
% 13.73/2.36 % (3372033)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1826416531:i=2186:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/2186Mi)
% 13.73/2.36 % (3372036)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2248518665:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/805Mi)
% 13.73/2.36 % (3371973) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3371760-3371973"...
% 13.73/2.36 % (3371973)...printing done.
% 13.73/2.36 % (3371973)Refutation found. Thanks to Tanya!
% 13.73/2.36 % SZS status Theorem for theBenchmark
% 13.73/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 13.73/2.37 % (3371973)------------------------------
% 13.73/2.37 % (3371973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.37 % (3371973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.37 % (3371973)CaDiCaL version: 2.1.3
% 13.73/2.37 % (3371973)Termination reason: Refutation
% 13.73/2.37 % (3371973)Time elapsed: 0.807 s
% 13.73/2.37 % (3371973)Peak memory usage: 19 MB
% 13.73/2.37 % (3371973)Instructions burned: 1149 (million)
% 13.73/2.37 % (3371760)Success in time 2.105 s
% 13.73/2.37 % Vampire exiting
%------------------------------------------------------------------------------