%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM658^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:18:26 AM UTC 2026
% Result : Theorem 3.31s 0.81s
% Output : Refutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 19
% Syntax : Number of formulae : 187 ( 87 unt; 0 typ; 3 def)
% Number of atoms : 2005 ( 484 equ; 0 cnn)
% Maximal formula atoms : 9 ( 10 avg)
% Number of connectives : 2265 ( 61 ~; 240 |; 0 &;1552 @)
% ( 3 <=>; 337 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 79 ( 79 >; 0 *; 0 +; 0 <<)
% Number of symbols : 219 ( 215 usr; 10 con; 0-7 aty)
% ( 72 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 586 ( 28 sgn 78 !; 0 ?; 586 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
is_of: $i > ( $i > $o ) > $o ).
thf(func_def_2,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_3,type,
eps: ( $i > $o ) > $i ).
thf(func_def_4,type,
in: $i > $i > $o ).
thf(func_def_5,type,
d_Subq: $i > $i > $o ).
thf(func_def_7,type,
union: $i > $i ).
thf(func_def_8,type,
power: $i > $i ).
thf(func_def_9,type,
repl: $i > ( $i > $i ) > $i ).
thf(func_def_10,type,
d_Union_closed: $i > $o ).
thf(func_def_11,type,
d_Power_closed: $i > $o ).
thf(func_def_12,type,
d_Repl_closed: $i > $o ).
thf(func_def_13,type,
d_ZF_closed: $i > $o ).
thf(func_def_14,type,
univof: $i > $i ).
thf(func_def_15,type,
if: $o > $i > $i > $i ).
thf(func_def_16,type,
nIn: $i > $i > $o ).
thf(func_def_17,type,
d_UPair: $i > $i > $i ).
thf(func_def_18,type,
d_Sing: $i > $i ).
thf(func_def_19,type,
binunion: $i > $i > $i ).
thf(func_def_20,type,
famunion: $i > ( $i > $i ) > $i ).
thf(func_def_21,type,
d_Sep: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
d_ReplSep: $i > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_23,type,
setminus: $i > $i > $i ).
thf(func_def_24,type,
d_In_rec_G: ( $i > ( $i > $i ) > $i ) > $i > $i > $o ).
thf(func_def_25,type,
d_In_rec: ( $i > ( $i > $i ) > $i ) > $i > $i ).
thf(func_def_26,type,
ordsucc: $i > $i ).
thf(func_def_27,type,
nat_p: $i > $o ).
thf(func_def_29,type,
d_Inj1: $i > $i ).
thf(func_def_30,type,
d_Inj0: $i > $i ).
thf(func_def_31,type,
d_Unj: $i > $i ).
thf(func_def_32,type,
pair: $i > $i > $i ).
thf(func_def_33,type,
proj0: $i > $i ).
thf(func_def_34,type,
proj1: $i > $i ).
thf(func_def_35,type,
d_Sigma: $i > ( $i > $i ) > $i ).
thf(func_def_36,type,
setprod: $i > $i > $i ).
thf(func_def_37,type,
ap: $i > $i > $i ).
thf(func_def_38,type,
pair_p: $i > $o ).
thf(func_def_39,type,
d_Pi: $i > ( $i > $i ) > $i ).
thf(func_def_40,type,
imp: $o > $o > $o ).
thf(func_def_41,type,
d_not: $o > $o ).
thf(func_def_42,type,
wel: $o > $o ).
thf(func_def_43,type,
obvious: $o ).
thf(func_def_44,type,
l_ec: $o > $o > $o ).
thf(func_def_45,type,
d_and: $o > $o > $o ).
thf(func_def_46,type,
l_or: $o > $o > $o ).
thf(func_def_47,type,
orec: $o > $o > $o ).
thf(func_def_48,type,
l_iff: $o > $o > $o ).
thf(func_def_49,type,
all: $i > ( $i > $o ) > $o ).
thf(func_def_50,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(func_def_51,type,
l_some: $i > ( $i > $o ) > $o ).
thf(func_def_52,type,
or3: $o > $o > $o > $o ).
thf(func_def_53,type,
and3: $o > $o > $o > $o ).
thf(func_def_54,type,
ec3: $o > $o > $o > $o ).
thf(func_def_55,type,
orec3: $o > $o > $o > $o ).
thf(func_def_56,type,
e_is: $i > $i > $i > $o ).
thf(func_def_57,type,
amone: $i > ( $i > $o ) > $o ).
thf(func_def_58,type,
one: $i > ( $i > $o ) > $o ).
thf(func_def_59,type,
ind: $i > ( $i > $o ) > $i ).
thf(func_def_60,type,
injective: $i > $i > $i > $o ).
thf(func_def_61,type,
image: $i > $i > $i > $i > $o ).
thf(func_def_62,type,
tofs: $i > $i > $i > $i > $i ).
thf(func_def_63,type,
soft: $i > $i > $i > $i > $i ).
thf(func_def_64,type,
inverse: $i > $i > $i > $i ).
thf(func_def_65,type,
surjective: $i > $i > $i > $o ).
thf(func_def_66,type,
bijective: $i > $i > $i > $o ).
thf(func_def_67,type,
invf: $i > $i > $i > $i ).
thf(func_def_68,type,
inj_h: $i > $i > $i > $i > $i > $i ).
thf(func_def_69,type,
e_in: $i > ( $i > $o ) > $i > $i ).
thf(func_def_70,type,
out: $i > ( $i > $o ) > $i > $i ).
thf(func_def_71,type,
d_pair: $i > $i > $i > $i > $i ).
thf(func_def_72,type,
first: $i > $i > $i > $i ).
thf(func_def_73,type,
second: $i > $i > $i > $i ).
thf(func_def_74,type,
prop1: $o > $i > $i > $i > $i > $o ).
thf(func_def_75,type,
ite: $o > $i > $i > $i > $i ).
thf(func_def_76,type,
wissel_wa: $i > $i > $i > $i > $i ).
thf(func_def_77,type,
wissel_wb: $i > $i > $i > $i > $i ).
thf(func_def_78,type,
wissel: $i > $i > $i > $i ).
thf(func_def_79,type,
changef: $i > $i > $i > $i > $i > $i ).
thf(func_def_80,type,
r_ec: $o > $o > $o ).
thf(func_def_81,type,
esti: $i > $i > $i > $o ).
thf(func_def_82,type,
empty: $i > $i > $o ).
thf(func_def_83,type,
nonempty: $i > $i > $o ).
thf(func_def_84,type,
incl: $i > $i > $i > $o ).
thf(func_def_85,type,
st_disj: $i > $i > $i > $o ).
thf(func_def_86,type,
nissetprop: $i > $i > $i > $i > $o ).
thf(func_def_87,type,
unmore: $i > $i > $i > $i ).
thf(func_def_88,type,
ecelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_89,type,
ecp: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_90,type,
anec: $i > ( $i > $i > $o ) > $i > $o ).
thf(func_def_91,type,
ect: $i > ( $i > $i > $o ) > $i ).
thf(func_def_92,type,
ectset: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_93,type,
ectelt: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_94,type,
ecect: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_95,type,
fixfu: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_96,type,
d_10_prop1: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i > $o ).
thf(func_def_97,type,
prop2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $o ).
thf(func_def_98,type,
indeq: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_99,type,
fixfu2: $i > ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_100,type,
d_11_i: $i > ( $i > $i > $o ) > $i > $i > $i > $i ).
thf(func_def_101,type,
indeq2: $i > ( $i > $i > $o ) > $i > $i > $i > $i > $i ).
thf(func_def_103,type,
n_is: $i > $i > $o ).
thf(func_def_104,type,
nis: $i > $i > $o ).
thf(func_def_105,type,
n_in: $i > $i > $o ).
thf(func_def_106,type,
n_some: ( $i > $o ) > $o ).
thf(func_def_107,type,
n_all: ( $i > $o ) > $o ).
thf(func_def_108,type,
n_one: ( $i > $o ) > $o ).
thf(func_def_110,type,
cond1: $i > $o ).
thf(func_def_111,type,
cond2: $i > $o ).
thf(func_def_112,type,
i1_s: ( $i > $o ) > $i ).
thf(func_def_113,type,
d_22_prop1: $i > $o ).
thf(func_def_114,type,
d_23_prop1: $i > $o ).
thf(func_def_115,type,
d_24_prop1: $i > $o ).
thf(func_def_116,type,
d_24_prop2: $i > $i > $o ).
thf(func_def_117,type,
prop3: $i > $i > $i > $o ).
thf(func_def_118,type,
prop4: $i > $o ).
thf(func_def_119,type,
d_24_g: $i > $i ).
thf(func_def_120,type,
plus: $i > $i ).
thf(func_def_121,type,
n_pl: $i > $i > $i ).
thf(func_def_122,type,
d_25_prop1: $i > $i > $i > $o ).
thf(func_def_123,type,
d_26_prop1: $i > $i > $o ).
thf(func_def_124,type,
d_27_prop1: $i > $i > $o ).
thf(func_def_125,type,
d_28_prop1: $i > $i > $i > $o ).
thf(func_def_126,type,
diffprop: $i > $i > $i > $o ).
thf(func_def_127,type,
d_29_ii: $i > $i > $o ).
thf(func_def_128,type,
iii: $i > $i > $o ).
thf(func_def_129,type,
d_29_prop1: $i > $i > $o ).
thf(func_def_130,type,
moreis: $i > $i > $o ).
thf(func_def_131,type,
lessis: $i > $i > $o ).
thf(func_def_132,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_138,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_139,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_140,type,
vIMP: $o > $o > $o ).
thf(func_def_141,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_142,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_144,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_146,type,
vNOT: $o > $o ).
thf(func_def_147,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_148,type,
vAND: $o > $o > $o ).
thf(func_def_149,type,
vOR: $o > $o > $o ).
thf(func_def_150,type,
sP0: ( $i > $i ) > $i > $i > $o ).
thf(func_def_151,type,
sP1: ( $i > $o ) > $o ).
thf(func_def_152,type,
sK2: $i > $i > $i > $i ).
thf(func_def_153,type,
sK3: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_154,type,
sK4: ( $i > $o ) > $i ).
thf(func_def_155,type,
sK5: $i > ( $i > $i ) > ( $i > $i ) > $i ).
thf(func_def_156,type,
sK6: $i > $i ).
thf(func_def_157,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_158,type,
sK8: $i > $i ).
thf(func_def_159,type,
sK9: $i > $i ).
thf(func_def_160,type,
sK10: $i > $i > $i ).
thf(func_def_161,type,
sK11: $i > $i > $i ).
thf(func_def_162,type,
sK12: $i > $i > $i ).
thf(func_def_163,type,
sK13: $i > $i > $i ).
thf(func_def_164,type,
sK14: $i > $i > $i ).
thf(func_def_165,type,
sK15: $i > $i > $i ).
thf(func_def_166,type,
sK16: $i > $i > $i ).
thf(func_def_167,type,
sK17: $i > $i > $i ).
thf(func_def_168,type,
sK18: $i > $i > $i ).
thf(func_def_169,type,
sK19: $i > $i > $i ).
thf(func_def_170,type,
sK20: $i > $i > $i ).
thf(func_def_171,type,
sK21: $i > $i > $i ).
thf(func_def_172,type,
sK22: $i > $i > $i ).
thf(func_def_173,type,
sK23: $i > $i > $o ).
thf(func_def_174,type,
sK24: ( $i > $o ) > $i ).
thf(func_def_175,type,
sK25: ( $i > $o ) > $i ).
thf(func_def_176,type,
sK26: $i > $i > $i ).
thf(func_def_179,type,
sK29: ( $i > $o ) > $i ).
thf(func_def_180,type,
sK30: ( $i > $o ) > $i ).
thf(func_def_181,type,
sK31: $i > ( $i > $o ) > $i > $i ).
thf(func_def_182,type,
sK32: $i > $i > $i > $i ).
thf(func_def_183,type,
sK33: $i > $i > $i ).
thf(func_def_184,type,
sK34: $i > $i > $i ).
thf(func_def_185,type,
sK35: $i > $i > $i ).
thf(func_def_186,type,
sK36: $i > $i > $i ).
thf(func_def_187,type,
sK37: $i > $i > $i ).
thf(func_def_188,type,
sK38: $i > $i > $o ).
thf(func_def_189,type,
sK39: ( $i > $o ) > $i ).
thf(func_def_190,type,
sK40: ( $i > $o ) > $i ).
thf(func_def_191,type,
sK41: ( $i > $o ) > $i ).
thf(func_def_192,type,
sK42: ( $i > $o ) > $i ).
thf(func_def_193,type,
sK43: $i > $i > $i ).
thf(func_def_194,type,
sK44: $i > $i > $i ).
thf(func_def_195,type,
sK45: $i > $i > $o ).
thf(func_def_196,type,
sK46: $i > $i ).
thf(func_def_197,type,
sK47: $i > $i > $i ).
thf(func_def_198,type,
sK48: $i > $i > $i ).
thf(func_def_199,type,
sK49: $i > $i > $i ).
thf(func_def_200,type,
sK50: $i > $i > $i ).
thf(func_def_201,type,
sK51: $i > $i > $i ).
thf(func_def_202,type,
sK52: $i > $i > $i ).
thf(func_def_203,type,
sK53: $i > $i > $i ).
thf(func_def_204,type,
sK54: $i > $i > $i ).
thf(func_def_205,type,
sK55: $i > $i > $i ).
thf(func_def_206,type,
sK56: $i > $i > $o ).
thf(func_def_207,type,
sK57: $i > $i > $i ).
thf(func_def_208,type,
sK58: $i > $i > $i ).
thf(func_def_209,type,
sK59: $i > $i > $i ).
thf(func_def_210,type,
sK60: $i > $i > $i ).
thf(func_def_211,type,
sK61: $i > $i > $i ).
thf(func_def_212,type,
sK62: $i > $i > $i ).
thf(func_def_213,type,
sK63: $i > $i > $o ).
thf(func_def_215,type,
sK65: ( $i > $i > $i ) > ( $i > $i > $i ) > $i ).
thf(func_def_216,type,
sK66: ( $i > $i > $i ) > $i ).
thf(func_def_217,type,
sK67: ( $i > $i > $i > $o ) > $i ).
thf(f1,axiom,
( ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) )
= is_of ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(f2,axiom,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(f74,axiom,
( ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) )
= imp ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_imp) ).
thf(f75,axiom,
( ( ^ [X0: $o] : ( imp @ X0 @ $false ) )
= d_not ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_not) ).
thf(f81,axiom,
( ( ^ [X0: $o] : ( imp @ ( d_not @ X0 ) ) )
= l_or ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_l_or) ).
thf(f85,axiom,
( ( ^ [X0: $i,X1: $i > $o,X2: $i] : ( d_not @ ( X1 @ X2 ) ) )
= non ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_non) ).
thf(f86,axiom,
( l_some
= ( ^ [X0: $i,X1: $i > $o] :
( d_not
@ ( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ( non @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_l_some) ).
thf(f91,axiom,
( e_is
= ( ^ [X0: $i,X1: $i,X2: $i] : ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(f157,axiom,
( n_is
= ( e_is @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(f160,axiom,
( n_some
= ( l_some @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_some) ).
thf(f203,axiom,
( ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) )
= diffprop ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_diffprop) ).
thf(f205,axiom,
( ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X0 @ X1 ) ) )
= d_29_ii ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii) ).
thf(f206,axiom,
( ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) )
= iii ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii) ).
thf(f216,axiom,
( moreis
= ( ^ [X0: $i,X1: $i] : ( l_or @ ( d_29_ii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moreis) ).
thf(f223,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( d_not @ ( iii @ X0 @ X1 ) )
=> ( moreis @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10f) ).
thf(f226,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( d_not @ ( moreis @ X0 @ X1 ) )
=> ( iii @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10j) ).
thf(f227,negated_conjecture,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( ( d_not @ ( moreis @ X0 @ X1 ) )
=> ( iii @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f226]) ).
thf(f248,plain,
( ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) )
= imp ),
inference(rectify,[],[f74]) ).
thf(f249,plain,
( imp
= ( ^ [Y0: $o,Y1: $o] :
( Y0
=> Y1 ) ) ),
inference(fool_elimination,[],[f248]) ).
thf(f255,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f206]) ).
thf(f312,plain,
~ ( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( d_not @ ( moreis @ X1 @ X3 ) )
=> ( iii @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f227]) ).
thf(f313,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( moreis @ Y0 @ Y1 ) )
=> ( iii @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(fool_elimination,[],[f312]) ).
thf(f325,plain,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X3: $i] :
( ( d_not @ ( iii @ X1 @ X3 ) )
=> ( moreis @ X1 @ X3 ) ) ) ),
inference(rectify,[],[f223]) ).
thf(f326,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( iii @ Y0 @ Y1 ) )
=> ( moreis @ Y0 @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f325]) ).
thf(f357,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f205]) ).
thf(f358,plain,
( l_or
= ( ^ [Y0: $o] : ( imp @ ( d_not @ Y0 ) ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f371,plain,
( ( ^ [X0: $o] : ( imp @ X0 @ $false ) )
= d_not ),
inference(rectify,[],[f75]) ).
thf(f372,plain,
( d_not
= ( ^ [Y0: $o] : ( imp @ Y0 @ $false ) ) ),
inference(fool_elimination,[],[f371]) ).
thf(f465,plain,
( diffprop
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f203]) ).
thf(f487,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f495,plain,
( l_some
= ( ^ [X0: $i,X1: $i > $o] :
( d_not
@ ( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ( non @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f86]) ).
thf(f496,plain,
( l_some
= ( ^ [Y0: $i,Y1: $i > $o] :
( d_not
@ ( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ Y0 )
@ ( non @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f495]) ).
thf(f499,plain,
( moreis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( d_29_ii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f216]) ).
thf(f500,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f569,plain,
( non
= ( ^ [Y0: $i,Y1: $i > $o,Y2: $i] : ( d_not @ ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f583,plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f584,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f583]) ).
thf(f587,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( moreis @ Y0 @ Y1 ) )
=> ( iii @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(flattening,[],[f313]) ).
thf(f659,plain,
( n_some
= ( l_some @ nat ) ),
inference(cnf_transformation,[],[f160]) ).
thf(f660,plain,
( moreis
= ( ^ [Y0: $i,Y1: $i] : ( l_or @ ( d_29_ii @ Y0 @ Y1 ) @ ( n_is @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f499]) ).
thf(f672,plain,
( l_or
= ( ^ [Y0: $o] : ( imp @ ( d_not @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f358]) ).
thf(f675,plain,
( d_not
= ( ^ [Y0: $o] : ( imp @ Y0 @ $false ) ) ),
inference(cnf_transformation,[],[f372]) ).
thf(f700,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( moreis @ Y0 @ Y1 ) )
=> ( iii @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f587]) ).
thf(f709,plain,
( is_of
= ( ^ [Y0: $i,Y1: $i > $o] : ( Y1 @ Y0 ) ) ),
inference(cnf_transformation,[],[f500]) ).
thf(f710,plain,
( imp
= ( ^ [Y0: $o,Y1: $o] :
( Y0
=> Y1 ) ) ),
inference(cnf_transformation,[],[f249]) ).
thf(f711,plain,
( ( all_of
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( all_of
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( d_not @ ( iii @ Y0 @ Y1 ) )
=> ( moreis @ Y0 @ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f326]) ).
thf(f722,plain,
( l_some
= ( ^ [Y0: $i,Y1: $i > $o] :
( d_not
@ ( all_of
@ ^ [Y2: $i] : ( in @ Y2 @ Y0 )
@ ( non @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f496]) ).
thf(f723,plain,
( diffprop
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( n_is @ Y0 @ ( n_pl @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f465]) ).
thf(f729,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( is_of @ Y2 @ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f584]) ).
thf(f743,plain,
( non
= ( ^ [Y0: $i,Y1: $i > $o,Y2: $i] : ( d_not @ ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f569]) ).
thf(f745,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f357]) ).
thf(f756,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] : ( n_some @ ( diffprop @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f255]) ).
thf(f782,plain,
( n_is
= ( e_is @ nat ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f790,plain,
( e_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 ) ) ),
inference(cnf_transformation,[],[f487]) ).
thf(f803,plain,
( d_not
= ( ^ [Y0: $o] :
( ^ [Y1: $o,Y2: $o] :
( Y1
=> Y2 )
@ Y0
@ $false ) ) ),
inference(definition_unfolding,[],[f675,f710]) ).
thf(f804,plain,
( all_of
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(definition_unfolding,[],[f729,f709]) ).
thf(f805,plain,
( non
= ( ^ [Y0: $i,Y1: $i > $o,Y2: $i] :
( ^ [Y3: $o] :
( ^ [Y4: $o,Y5: $o] :
( Y4
=> Y5 )
@ Y3
@ $false )
@ ( Y1 @ Y2 ) ) ) ),
inference(definition_unfolding,[],[f743,f803]) ).
thf(f806,plain,
( l_some
= ( ^ [Y0: $i,Y1: $i > $o] :
( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ Y2
@ $false )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i,Y6: $i > $o] : ( Y6 @ Y5 )
@ Y4
@ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ Y0 )
@ ( ^ [Y2: $i,Y3: $i > $o,Y4: $i] :
( ^ [Y5: $o] :
( ^ [Y6: $o,Y7: $o] :
( Y6
=> Y7 )
@ Y5
@ $false )
@ ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f722,f803,f804,f805]) ).
thf(f807,plain,
( n_some
= ( ^ [Y0: $i,Y1: $i > $o] :
( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ Y2
@ $false )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ^ [Y5: $i,Y6: $i > $o] : ( Y6 @ Y5 )
@ Y4
@ Y2 )
=> ( Y3 @ Y4 ) ) )
@ ^ [Y2: $i] : ( in @ Y2 @ Y0 )
@ ( ^ [Y2: $i,Y3: $i > $o,Y4: $i] :
( ^ [Y5: $o] :
( ^ [Y6: $o,Y7: $o] :
( Y6
=> Y7 )
@ Y5
@ $false )
@ ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) )
@ nat ) ),
inference(definition_unfolding,[],[f659,f806]) ).
thf(f808,plain,
( n_is
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( Y1 = Y2 )
@ nat ) ),
inference(definition_unfolding,[],[f782,f790]) ).
thf(f809,plain,
( diffprop
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( ^ [Y3: $i,Y4: $i,Y5: $i] : ( Y4 = Y5 )
@ nat
@ Y0
@ ( n_pl @ Y1 @ Y2 ) ) ) ),
inference(definition_unfolding,[],[f723,f808]) ).
thf(f810,plain,
( iii
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $i,Y3: $i > $o] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ Y4
@ $false )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ^ [Y7: $i,Y8: $i > $o] : ( Y8 @ Y7 )
@ Y6
@ Y4 )
=> ( Y5 @ Y6 ) ) )
@ ^ [Y4: $i] : ( in @ Y4 @ Y2 )
@ ( ^ [Y4: $i,Y5: $i > $o,Y6: $i] :
( ^ [Y7: $o] :
( ^ [Y8: $o,Y9: $o] :
( Y8
=> Y9 )
@ Y7
@ $false )
@ ( Y5 @ Y6 ) )
@ Y2
@ Y3 ) ) )
@ nat
@ ( ^ [Y2: $i,Y3: $i,Y4: $i] :
( ^ [Y5: $i,Y6: $i,Y7: $i] : ( Y6 = Y7 )
@ nat
@ Y2
@ ( n_pl @ Y3 @ Y4 ) )
@ Y1
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f756,f807,f809]) ).
thf(f811,plain,
( l_or
= ( ^ [Y0: $o] :
( ^ [Y1: $o,Y2: $o] :
( Y1
=> Y2 )
@ ( ^ [Y1: $o] :
( ^ [Y2: $o,Y3: $o] :
( Y2
=> Y3 )
@ Y1
@ $false )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f672,f710,f803]) ).
thf(f812,plain,
( d_29_ii
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $i,Y3: $i > $o] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ Y4
@ $false )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( !! @ $i
@ ^ [Y6: $i] :
( ( ^ [Y7: $i,Y8: $i > $o] : ( Y8 @ Y7 )
@ Y6
@ Y4 )
=> ( Y5 @ Y6 ) ) )
@ ^ [Y4: $i] : ( in @ Y4 @ Y2 )
@ ( ^ [Y4: $i,Y5: $i > $o,Y6: $i] :
( ^ [Y7: $o] :
( ^ [Y8: $o,Y9: $o] :
( Y8
=> Y9 )
@ Y7
@ $false )
@ ( Y5 @ Y6 ) )
@ Y2
@ Y3 ) ) )
@ nat
@ ( ^ [Y2: $i,Y3: $i,Y4: $i] :
( ^ [Y5: $i,Y6: $i,Y7: $i] : ( Y6 = Y7 )
@ nat
@ Y2
@ ( n_pl @ Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f745,f807,f809]) ).
thf(f813,plain,
( moreis
= ( ^ [Y0: $i,Y1: $i] :
( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ ( ^ [Y3: $o] :
( ^ [Y4: $o,Y5: $o] :
( Y4
=> Y5 )
@ Y3
@ $false )
@ Y2 ) )
@ ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $i,Y5: $i > $o] :
( ^ [Y6: $o] :
( ^ [Y7: $o,Y8: $o] :
( Y7
=> Y8 )
@ Y6
@ $false )
@ ( ^ [Y6: $i > $o,Y7: $i > $o] :
( !! @ $i
@ ^ [Y8: $i] :
( ( ^ [Y9: $i,Y10: $i > $o] : ( Y10 @ Y9 )
@ Y8
@ Y6 )
=> ( Y7 @ Y8 ) ) )
@ ^ [Y6: $i] : ( in @ Y6 @ Y4 )
@ ( ^ [Y6: $i,Y7: $i > $o,Y8: $i] :
( ^ [Y9: $o] :
( ^ [Y10: $o,Y11: $o] :
( Y10
=> Y11 )
@ Y9
@ $false )
@ ( Y7 @ Y8 ) )
@ Y4
@ Y5 ) ) )
@ nat
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] :
( ^ [Y7: $i,Y8: $i,Y9: $i] : ( Y8 = Y9 )
@ nat
@ Y4
@ ( n_pl @ Y5 @ Y6 ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( Y3 = Y4 )
@ nat
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f660,f811,f812,f808]) ).
thf(f868,plain,
( ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ Y2
@ $false )
@ ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ ( ^ [Y5: $o] :
( ^ [Y6: $o,Y7: $o] :
( Y6
=> Y7 )
@ Y5
@ $false )
@ Y4 ) )
@ ( ^ [Y4: $i,Y5: $i] :
( ^ [Y6: $i,Y7: $i > $o] :
( ^ [Y8: $o] :
( ^ [Y9: $o,Y10: $o] :
( Y9
=> Y10 )
@ Y8
@ $false )
@ ( ^ [Y8: $i > $o,Y9: $i > $o] :
( !! @ $i
@ ^ [Y10: $i] :
( ( ^ [Y11: $i,Y12: $i > $o] : ( Y12 @ Y11 )
@ Y10
@ Y8 )
=> ( Y9 @ Y10 ) ) )
@ ^ [Y8: $i] : ( in @ Y8 @ Y6 )
@ ( ^ [Y8: $i,Y9: $i > $o,Y10: $i] :
( ^ [Y11: $o] :
( ^ [Y12: $o,Y13: $o] :
( Y12
=> Y13 )
@ Y11
@ $false )
@ ( Y9 @ Y10 ) )
@ Y6
@ Y7 ) ) )
@ nat
@ ( ^ [Y6: $i,Y7: $i,Y8: $i] :
( ^ [Y9: $i,Y10: $i,Y11: $i] : ( Y10 = Y11 )
@ nat
@ Y6
@ ( n_pl @ Y7 @ Y8 ) )
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( Y5 = Y6 )
@ nat
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
=> ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $i,Y5: $i > $o] :
( ^ [Y6: $o] :
( ^ [Y7: $o,Y8: $o] :
( Y7
=> Y8 )
@ Y6
@ $false )
@ ( ^ [Y6: $i > $o,Y7: $i > $o] :
( !! @ $i
@ ^ [Y8: $i] :
( ( ^ [Y9: $i,Y10: $i > $o] : ( Y10 @ Y9 )
@ Y8
@ Y6 )
=> ( Y7 @ Y8 ) ) )
@ ^ [Y6: $i] : ( in @ Y6 @ Y4 )
@ ( ^ [Y6: $i,Y7: $i > $o,Y8: $i] :
( ^ [Y9: $o] :
( ^ [Y10: $o,Y11: $o] :
( Y10
=> Y11 )
@ Y9
@ $false )
@ ( Y7 @ Y8 ) )
@ Y4
@ Y5 ) ) )
@ nat
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] :
( ^ [Y7: $i,Y8: $i,Y9: $i] : ( Y8 = Y9 )
@ nat
@ Y4
@ ( n_pl @ Y5 @ Y6 ) )
@ Y3
@ Y2 ) )
@ Y0
@ Y1 ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f700,f804,f804,f803,f813,f810]) ).
thf(f874,plain,
( ( ^ [Y0: $i > $o,Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ^ [Y3: $i,Y4: $i > $o] : ( Y4 @ Y3 )
@ Y2
@ Y0 )
=> ( Y1 @ Y2 ) ) )
@ ^ [Y0: $i] : ( in @ Y0 @ nat )
@ ^ [Y0: $i] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ^ [Y4: $i,Y5: $i > $o] : ( Y5 @ Y4 )
@ Y3
@ Y1 )
=> ( Y2 @ Y3 ) ) )
@ ^ [Y1: $i] : ( in @ Y1 @ nat )
@ ^ [Y1: $i] :
( ( ^ [Y2: $o] :
( ^ [Y3: $o,Y4: $o] :
( Y3
=> Y4 )
@ Y2
@ $false )
@ ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $i,Y5: $i > $o] :
( ^ [Y6: $o] :
( ^ [Y7: $o,Y8: $o] :
( Y7
=> Y8 )
@ Y6
@ $false )
@ ( ^ [Y6: $i > $o,Y7: $i > $o] :
( !! @ $i
@ ^ [Y8: $i] :
( ( ^ [Y9: $i,Y10: $i > $o] : ( Y10 @ Y9 )
@ Y8
@ Y6 )
=> ( Y7 @ Y8 ) ) )
@ ^ [Y6: $i] : ( in @ Y6 @ Y4 )
@ ( ^ [Y6: $i,Y7: $i > $o,Y8: $i] :
( ^ [Y9: $o] :
( ^ [Y10: $o,Y11: $o] :
( Y10
=> Y11 )
@ Y9
@ $false )
@ ( Y7 @ Y8 ) )
@ Y4
@ Y5 ) ) )
@ nat
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] :
( ^ [Y7: $i,Y8: $i,Y9: $i] : ( Y8 = Y9 )
@ nat
@ Y4
@ ( n_pl @ Y5 @ Y6 ) )
@ Y3
@ Y2 ) )
@ Y0
@ Y1 ) )
=> ( ^ [Y2: $i,Y3: $i] :
( ^ [Y4: $o] :
( ^ [Y5: $o,Y6: $o] :
( Y5
=> Y6 )
@ ( ^ [Y5: $o] :
( ^ [Y6: $o,Y7: $o] :
( Y6
=> Y7 )
@ Y5
@ $false )
@ Y4 ) )
@ ( ^ [Y4: $i,Y5: $i] :
( ^ [Y6: $i,Y7: $i > $o] :
( ^ [Y8: $o] :
( ^ [Y9: $o,Y10: $o] :
( Y9
=> Y10 )
@ Y8
@ $false )
@ ( ^ [Y8: $i > $o,Y9: $i > $o] :
( !! @ $i
@ ^ [Y10: $i] :
( ( ^ [Y11: $i,Y12: $i > $o] : ( Y12 @ Y11 )
@ Y10
@ Y8 )
=> ( Y9 @ Y10 ) ) )
@ ^ [Y8: $i] : ( in @ Y8 @ Y6 )
@ ( ^ [Y8: $i,Y9: $i > $o,Y10: $i] :
( ^ [Y11: $o] :
( ^ [Y12: $o,Y13: $o] :
( Y12
=> Y13 )
@ Y11
@ $false )
@ ( Y9 @ Y10 ) )
@ Y6
@ Y7 ) ) )
@ nat
@ ( ^ [Y6: $i,Y7: $i,Y8: $i] :
( ^ [Y9: $i,Y10: $i,Y11: $i] : ( Y10 = Y11 )
@ nat
@ Y6
@ ( n_pl @ Y7 @ Y8 ) )
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i,Y6: $i] : ( Y5 = Y6 )
@ nat
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f711,f804,f804,f803,f810,f813]) ).
thf(f1289,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y0
= ( n_pl @ Y1 @ Y2 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( Y0 = Y1 ) )
=> $false )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y1
= ( n_pl @ Y0 @ Y2 ) )
=> $false ) ) )
=> $false ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f868]) ).
thf(f1290,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y0
= ( n_pl @ Y1 @ Y2 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( Y0 = Y1 ) )
=> $false )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y1
= ( n_pl @ Y0 @ Y2 ) )
=> $false ) ) )
=> $false ) ) ) ) )
@ sK27 )
= $false ),
inference(sigma_proxy_clausification,[],[f1289]) ).
thf(f1291,plain,
( ( ( in @ sK27 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( sK27
= ( n_pl @ Y0 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( sK27 = Y0 ) )
=> $false )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0
= ( n_pl @ sK27 @ Y1 ) )
=> $false ) ) )
=> $false ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f1290]) ).
thf(f1292,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( sK27
= ( n_pl @ Y0 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( sK27 = Y0 ) )
=> $false )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0
= ( n_pl @ sK27 @ Y1 ) )
=> $false ) ) )
=> $false ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f1291]) ).
thf(f1293,plain,
( ( in @ sK27 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f1291]) ).
thf(f1294,plain,
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( sK27
= ( n_pl @ Y0 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( sK27 = Y0 ) )
=> $false )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0
= ( n_pl @ sK27 @ Y1 ) )
=> $false ) ) )
=> $false ) ) )
@ sK28 )
= $false ),
inference(sigma_proxy_clausification,[],[f1292]) ).
thf(f1295,plain,
( ( ( in @ sK28 @ nat )
=> ( ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( sK27 = sK28 ) )
=> $false )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK28
= ( n_pl @ sK27 @ Y0 ) )
=> $false ) ) )
=> $false ) ) )
= $false ),
inference(beta-eta_normalization,[],[f1294]) ).
thf(f1296,plain,
( ( ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( sK27 = sK28 ) )
=> $false )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK28
= ( n_pl @ sK27 @ Y0 ) )
=> $false ) ) )
=> $false ) )
= $false ),
inference(imp_proxy_clausification,[],[f1295]) ).
thf(f1297,plain,
( ( in @ sK28 @ nat )
= $true ),
inference(imp_proxy_clausification,[],[f1295]) ).
thf(f1298,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK28
= ( n_pl @ sK27 @ Y0 ) )
=> $false ) ) )
=> $false )
= $false ),
inference(imp_proxy_clausification,[],[f1296]) ).
thf(f1299,plain,
( ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( sK27 = sK28 ) )
=> $false )
= $true ),
inference(imp_proxy_clausification,[],[f1296]) ).
thf(f1300,plain,
( ( $false = $true )
| ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( sK27 = sK28 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f1299]) ).
thf(f1301,plain,
( ( ( sK27 = sK28 )
= $false )
| ( $false = $true ) ),
inference(imp_proxy_clausification,[],[f1300]) ).
thf(f1302,plain,
( ( $false = $true )
| ( $true
= ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false ) ) ),
inference(imp_proxy_clausification,[],[f1300]) ).
thf(f1303,plain,
( ( $false = $true )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) ) )
=> $false )
= $false )
| ( $false = $true ) ),
inference(imp_proxy_clausification,[],[f1302]) ).
thf(f1305,plain,
( ( $false = $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) ) )
= $true )
| ( $false = $true ) ),
inference(imp_proxy_clausification,[],[f1303]) ).
thf(f1306,plain,
! [X1: $i] :
( ( $false = $true )
| ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) )
@ X1 )
= $true )
| ( $false = $true ) ),
inference(pi_proxy_clausification,[],[f1305]) ).
thf(f1307,plain,
! [X1: $i] :
( ( $false = $true )
| ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) )
@ X1 )
= $true ) ),
inference(duplicate_literal_removal,[],[f1306]) ).
thf(f1308,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ Y0 ) )
=> $false ) )
@ X1 )
= $true ),
inference(trivial_inequality_removal,[],[f1307]) ).
thf(f1309,plain,
! [X1: $i] :
( $true
= ( ( in @ X1 @ nat )
=> ( ( sK27
= ( n_pl @ sK28 @ X1 ) )
=> $false ) ) ),
inference(beta-eta_normalization,[],[f1308]) ).
thf(f1310,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( ( sK27
= ( n_pl @ sK28 @ X1 ) )
=> $false )
= $true ) ),
inference(imp_proxy_clausification,[],[f1309]) ).
thf(f1311,plain,
! [X1: $i] :
( ( ( sK27
= ( n_pl @ sK28 @ X1 ) )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( $false = $true ) ),
inference(imp_proxy_clausification,[],[f1310]) ).
thf(f1312,plain,
! [X1: $i] :
( ( $false = $true )
| ( ( in @ X1 @ nat )
= $false )
| ( sK27
!= ( n_pl @ sK28 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f1311]) ).
thf(f1313,plain,
! [X1: $i] :
( ( sK27
!= ( n_pl @ sK28 @ X1 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1312]) ).
thf(f1315,plain,
( ( $false = $true )
| ( sK28 != sK27 ) ),
inference(equality_proxy_clausification,[],[f1301]) ).
thf(f1316,plain,
sK28 != sK27,
inference(trivial_inequality_removal,[],[f1315]) ).
thf(f1318,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK28
= ( n_pl @ sK27 @ Y0 ) )
=> $false ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f1298]) ).
thf(f1319,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( sK28
= ( n_pl @ sK27 @ Y0 ) )
=> $false ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1318]) ).
thf(f1320,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( ( sK28
= ( n_pl @ sK27 @ X1 ) )
=> $false ) )
= $true ),
inference(beta-eta_normalization,[],[f1319]) ).
thf(f1321,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( ( sK28
= ( n_pl @ sK27 @ X1 ) )
=> $false )
= $true ) ),
inference(imp_proxy_clausification,[],[f1320]) ).
thf(f1322,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $false = $true )
| ( ( sK28
= ( n_pl @ sK27 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f1321]) ).
thf(f1323,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( sK28
!= ( n_pl @ sK27 @ X1 ) )
| ( $false = $true ) ),
inference(equality_proxy_clausification,[],[f1322]) ).
thf(f1324,plain,
! [X1: $i] :
( ( sK28
!= ( n_pl @ sK27 @ X1 ) )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(trivial_inequality_removal,[],[f1323]) ).
thf(f2129,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y1
= ( n_pl @ Y0 @ Y2 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y0
= ( n_pl @ Y1 @ Y2 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( Y0 = Y1 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f874]) ).
thf(f2130,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y1
= ( n_pl @ Y0 @ Y2 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y0
= ( n_pl @ Y1 @ Y2 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( Y0 = Y1 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f2129]) ).
thf(f2131,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0
= ( n_pl @ X1 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( X1
= ( n_pl @ Y0 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = Y0 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2130]) ).
thf(f2132,plain,
! [X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0
= ( n_pl @ X1 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( X1
= ( n_pl @ Y0 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = Y0 ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f2131]) ).
thf(f2133,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0
= ( n_pl @ X1 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( X1
= ( n_pl @ Y0 @ Y1 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = Y0 ) ) ) )
@ X2 )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(pi_proxy_clausification,[],[f2132]) ).
thf(f2134,plain,
! [X2: $i,X1: $i] :
( ( ( ( in @ X2 @ nat )
=> ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = X2 ) ) ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(beta-eta_normalization,[],[f2133]) ).
thf(f2135,plain,
! [X2: $i,X1: $i] :
( ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = X2 ) ) )
= $true )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2134]) ).
thf(f2136,plain,
! [X2: $i,X1: $i] :
( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = X2 ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2135]) ).
thf(f2138,plain,
! [X2: $i,X1: $i] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) ) )
=> $false )
= $true )
| ( ( in @ X2 @ nat )
= $false )
| ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = X2 ) )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2136]) ).
thf(f2139,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) ) )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = X2 ) )
= $true )
| ( ( in @ X1 @ nat )
= $false )
| ( $false = $true ) ),
inference(imp_proxy_clausification,[],[f2138]) ).
thf(f2140,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( $false = $true )
| ( ( in @ X1 @ nat )
= $false )
| ( ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
=> ( X1 = X2 ) )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f2139]) ).
thf(f2141,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) )
| ( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
=> $false )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $false = $true )
| ( ( X1 = X2 )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2140]) ).
thf(f2143,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) )
| ( $false = $true )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
=> $false )
= $true )
| ( ( X1 = X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f2141]) ).
thf(f2144,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( $false = $true )
| ( ( X1 = X2 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
= $false )
| ( $false = $true ) ),
inference(imp_proxy_clausification,[],[f2143]) ).
thf(f2145,plain,
! [X2: $i,X1: $i] :
( ( $false = $true )
| ( ( in @ X1 @ nat )
= $false )
| ( X1 = X2 )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) )
| ( $false = $true )
| ( ( in @ X2 @ nat )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f2144]) ).
thf(f2146,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) )
@ ( sK54 @ X1 @ X2 ) )
= $false )
| ( $false = $true )
| ( X1 = X2 )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) )
| ( $false = $true )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(sigma_proxy_clausification,[],[f2145]) ).
thf(f2147,plain,
! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( ( in @ X1 @ nat )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) )
| ( ( in @ X2 @ nat )
= $false )
| ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) )
@ ( sK54 @ X1 @ X2 ) )
= $false )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f2146]) ).
thf(f2148,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( X1 = X2 )
| ( ( in @ X2 @ nat )
= $false )
| ( ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X1
= ( n_pl @ X2 @ Y0 ) )
=> $false ) )
@ ( sK54 @ X1 @ X2 ) )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X2
= ( n_pl @ X1 @ Y0 ) )
=> $false ) )
@ ( sK53 @ X1 @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f2147]) ).
thf(f2149,plain,
! [X2: $i,X1: $i] :
( ( ( ( in @ ( sK53 @ X1 @ X2 ) @ nat )
=> ( ( X2
= ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) ) )
=> $false ) )
= $false )
| ( ( ( in @ ( sK54 @ X1 @ X2 ) @ nat )
=> ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
=> $false ) )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( X1 = X2 ) ),
inference(beta-eta_normalization,[],[f2148]) ).
thf(f2150,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( X2
= ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) ) )
=> $false ) )
| ( X1 = X2 )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( ( in @ ( sK54 @ X1 @ X2 ) @ nat )
=> ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
=> $false ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f2149]) ).
thf(f2151,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X2 @ nat )
= $false )
| ( ( ( in @ ( sK54 @ X1 @ X2 ) @ nat )
=> ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
=> $false ) )
= $false )
| ( ( in @ ( sK53 @ X1 @ X2 ) @ nat )
= $true )
| ( ( in @ X1 @ nat )
= $false )
| ( X1 = X2 ) ),
inference(imp_proxy_clausification,[],[f2149]) ).
thf(f2152,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK53 @ X1 @ X2 ) @ nat )
= $true )
| ( X1 = X2 )
| ( ( in @ X1 @ nat )
= $false )
| ( ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
=> $false )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2151]) ).
thf(f2153,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK54 @ X1 @ X2 ) @ nat )
= $true )
| ( X1 = X2 )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ ( sK53 @ X1 @ X2 ) @ nat )
= $true ) ),
inference(imp_proxy_clausification,[],[f2151]) ).
thf(f2155,plain,
! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( ( in @ ( sK53 @ X1 @ X2 ) @ nat )
= $true )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f2152]) ).
thf(f2156,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK53 @ X1 @ X2 ) @ nat )
= $true )
| ( ( in @ X2 @ nat )
= $false )
| ( X1 = X2 )
| ( ( in @ X1 @ nat )
= $false )
| ( ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) )
= X1 ) ),
inference(equality_proxy_clausification,[],[f2155]) ).
thf(f2158,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( ( in @ ( sK54 @ X1 @ X2 ) @ nat )
=> ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
=> $false ) )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $true
= ( X2
= ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) ) ) )
| ( X1 = X2 ) ),
inference(imp_proxy_clausification,[],[f2150]) ).
thf(f2159,plain,
! [X2: $i,X1: $i] :
( ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false )
| ( $true
= ( X2
= ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) ) ) )
| ( ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
=> $false )
= $false )
| ( X1 = X2 ) ),
inference(imp_proxy_clausification,[],[f2158]) ).
thf(f2160,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( X2
= ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) ) ) )
| ( X1 = X2 )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ ( sK54 @ X1 @ X2 ) @ nat )
= $true )
| ( ( in @ X1 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2158]) ).
thf(f2161,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK54 @ X1 @ X2 ) @ nat )
= $true )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) )
= X2 )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f2160]) ).
thf(f2162,plain,
! [X2: $i,X1: $i] :
( ( ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
=> $false )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( X1 = X2 )
| ( ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) )
= X2 )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(equality_proxy_clausification,[],[f2159]) ).
thf(f2164,plain,
! [X2: $i,X1: $i] :
( ( ( X1
= ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) ) )
= $true )
| ( ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) )
= X2 )
| ( X1 = X2 )
| ( ( in @ X1 @ nat )
= $false )
| ( ( in @ X2 @ nat )
= $false ) ),
inference(imp_proxy_clausification,[],[f2162]) ).
thf(f2165,plain,
! [X2: $i,X1: $i] :
( ( ( n_pl @ X2 @ ( sK54 @ X1 @ X2 ) )
= X1 )
| ( ( in @ X2 @ nat )
= $false )
| ( ( in @ X1 @ nat )
= $false )
| ( X1 = X2 )
| ( ( n_pl @ X1 @ ( sK53 @ X1 @ X2 ) )
= X2 ) ),
inference(equality_proxy_clausification,[],[f2164]) ).
thf(f2907,plain,
! [X0: $i] :
( ( sK28 != X0 )
| ( ( in @ sK27 @ nat )
= $false )
| ( sK27
= ( n_pl @ X0 @ ( sK53 @ X0 @ sK27 ) ) )
| ( ( in @ ( sK54 @ X0 @ sK27 ) @ nat )
= $false )
| ( ( in @ X0 @ nat )
= $false )
| ( sK27 = X0 ) ),
inference(constrained_superposition,[],[f1324,f2165]) ).
thf(f2935,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( in @ ( sK54 @ X0 @ sK27 ) @ nat )
= $false )
| ( sK27
= ( n_pl @ X0 @ ( sK53 @ X0 @ sK27 ) ) )
| ( ( in @ X0 @ nat )
= $false )
| ( sK28 != X0 )
| ( sK27 = X0 ) ),
inference(forward_demodulation,[],[f2907,f1293]) ).
thf(f2936,plain,
! [X0: $i] :
( ( sK28 != X0 )
| ( ( in @ ( sK54 @ X0 @ sK27 ) @ nat )
= $false )
| ( ( in @ X0 @ nat )
= $false )
| ( sK27
= ( n_pl @ X0 @ ( sK53 @ X0 @ sK27 ) ) )
| ( sK27 = X0 ) ),
inference(trivial_inequality_removal,[],[f2935]) ).
thf(f2941,plain,
( ( sK28 = sK27 )
| ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ( ( in @ sK28 @ nat )
= $false )
| ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false ) ),
inference(equality_resolution,[],[f2936]) ).
thf(f2942,plain,
( ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false )
| ( ( in @ sK28 @ nat )
= $false ) ),
inference(forward_subsumption_resolution,[],[f2941,f1316]) ).
thf(f2943,plain,
( ( $false = $true )
| ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false ) ),
inference(forward_demodulation,[],[f2942,f1297]) ).
thf(f2944,plain,
( ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false )
| ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 ) ),
inference(trivial_inequality_removal,[],[f2943]) ).
thf(f2946,definition,
( spl64_10
<=> ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 ) ),
introduced(definition,[new_symbols(definition,[spl64_10])],[avatar_definition]) ).
thf(f2948,plain,
( ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ~ spl64_10 ),
inference(avatar_component_clause,[],[f2946]) ).
thf(f2950,definition,
( spl64_11
<=> ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl64_11])],[avatar_definition]) ).
thf(f2952,plain,
( ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false )
| ~ spl64_11 ),
inference(avatar_component_clause,[],[f2950]) ).
thf(f2953,plain,
( spl64_10
| spl64_11 ),
inference(avatar_split_clause,[],[f2944,f2950,f2946]) ).
thf(f2954,plain,
( ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $false )
| ( sK27 != sK27 )
| ~ spl64_10 ),
inference(constrained_superposition,[],[f1313,f2948]) ).
thf(f2972,plain,
( ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $false )
| ~ spl64_10 ),
inference(trivial_inequality_removal,[],[f2954]) ).
thf(f2996,definition,
( spl64_15
<=> ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl64_15])],[avatar_definition]) ).
thf(f2998,plain,
( ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $false )
| ~ spl64_15 ),
inference(avatar_component_clause,[],[f2996]) ).
thf(f3007,plain,
( spl64_15
| ~ spl64_10 ),
inference(avatar_split_clause,[],[f2972,f2946,f2996]) ).
thf(f3011,plain,
( ( $false = $true )
| ( sK28
= ( n_pl @ sK27 @ ( sK54 @ sK28 @ sK27 ) ) )
| ( sK28 = sK27 )
| ( ( in @ sK27 @ nat )
= $false )
| ( ( in @ sK28 @ nat )
= $false )
| ~ spl64_15 ),
inference(constrained_superposition,[],[f2156,f2998]) ).
thf(f3021,plain,
( ( sK28
= ( n_pl @ sK27 @ ( sK54 @ sK28 @ sK27 ) ) )
| ( ( in @ sK27 @ nat )
= $false )
| ( sK28 = sK27 )
| ( ( in @ sK28 @ nat )
= $false )
| ~ spl64_15 ),
inference(trivial_inequality_removal,[],[f3011]) ).
thf(f3027,plain,
( ( ( in @ sK27 @ nat )
= $false )
| ( sK28
= ( n_pl @ sK27 @ ( sK54 @ sK28 @ sK27 ) ) )
| ( ( in @ sK28 @ nat )
= $false )
| ~ spl64_15 ),
inference(forward_subsumption_resolution,[],[f3021,f1316]) ).
thf(f3029,plain,
( ( $false = $true )
| ( ( in @ sK28 @ nat )
= $false )
| ( sK28
= ( n_pl @ sK27 @ ( sK54 @ sK28 @ sK27 ) ) )
| ~ spl64_15 ),
inference(forward_demodulation,[],[f3027,f1293]) ).
thf(f3030,plain,
( ( sK28
= ( n_pl @ sK27 @ ( sK54 @ sK28 @ sK27 ) ) )
| ( ( in @ sK28 @ nat )
= $false )
| ~ spl64_15 ),
inference(trivial_inequality_removal,[],[f3029]) ).
thf(f3033,plain,
( ( sK28
= ( n_pl @ sK27 @ ( sK54 @ sK28 @ sK27 ) ) )
| ( $false = $true )
| ~ spl64_15 ),
inference(forward_demodulation,[],[f3030,f1297]) ).
thf(f3034,plain,
( ( sK28
= ( n_pl @ sK27 @ ( sK54 @ sK28 @ sK27 ) ) )
| ~ spl64_15 ),
inference(trivial_inequality_removal,[],[f3033]) ).
thf(f3050,plain,
( ( sK28 != sK28 )
| ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false )
| ~ spl64_15 ),
inference(constrained_superposition,[],[f1324,f3034]) ).
thf(f3072,plain,
( ( ( in @ ( sK54 @ sK28 @ sK27 ) @ nat )
= $false )
| ~ spl64_15 ),
inference(trivial_inequality_removal,[],[f3050]) ).
thf(f3087,plain,
( spl64_11
| ~ spl64_15 ),
inference(avatar_split_clause,[],[f3072,f2996,f2950]) ).
thf(f3104,plain,
( ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ( ( in @ sK27 @ nat )
= $false )
| ( $false = $true )
| ( ( in @ sK28 @ nat )
= $false )
| ( sK28 = sK27 )
| ~ spl64_11 ),
inference(constrained_superposition,[],[f2952,f2161]) ).
thf(f3105,plain,
( ( sK28 = sK27 )
| ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $true )
| ( ( in @ sK27 @ nat )
= $false )
| ( $false = $true )
| ( ( in @ sK28 @ nat )
= $false )
| ~ spl64_11 ),
inference(constrained_superposition,[],[f2952,f2153]) ).
thf(f3113,plain,
( ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $true )
| ( ( in @ sK28 @ nat )
= $false )
| ( ( in @ sK27 @ nat )
= $false )
| ( sK28 = sK27 )
| ~ spl64_11 ),
inference(trivial_inequality_removal,[],[f3105]) ).
thf(f3119,plain,
( ( ( in @ sK27 @ nat )
= $false )
| ( sK28 = sK27 )
| ( ( in @ sK28 @ nat )
= $false )
| ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ~ spl64_11 ),
inference(trivial_inequality_removal,[],[f3104]) ).
thf(f3126,plain,
( ( ( in @ sK27 @ nat )
= $false )
| ( ( in @ sK28 @ nat )
= $false )
| ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $true )
| ~ spl64_11 ),
inference(forward_subsumption_resolution,[],[f3113,f1316]) ).
thf(f3128,plain,
( ( ( in @ sK28 @ nat )
= $false )
| ( $false = $true )
| ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $true )
| ~ spl64_11 ),
inference(forward_demodulation,[],[f3126,f1293]) ).
thf(f3129,plain,
( ( ( in @ sK28 @ nat )
= $false )
| ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $true )
| ~ spl64_11 ),
inference(trivial_inequality_removal,[],[f3128]) ).
thf(f3132,plain,
( ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $true )
| ( $false = $true )
| ~ spl64_11 ),
inference(forward_demodulation,[],[f3129,f1297]) ).
thf(f3133,plain,
( ( ( in @ ( sK53 @ sK28 @ sK27 ) @ nat )
= $true )
| ~ spl64_11 ),
inference(trivial_inequality_removal,[],[f3132]) ).
thf(f3136,plain,
( ( $false = $true )
| ~ spl64_11
| ~ spl64_15 ),
inference(forward_demodulation,[],[f3133,f2998]) ).
thf(f3137,plain,
( $false
| ~ spl64_11
| ~ spl64_15 ),
inference(trivial_inequality_removal,[],[f3136]) ).
thf(f3138,plain,
( ~ spl64_11
| ~ spl64_15 ),
inference(avatar_contradiction_clause,[],[f3137]) ).
thf(f3139,plain,
( ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ( ( in @ sK28 @ nat )
= $false )
| ( ( in @ sK27 @ nat )
= $false )
| ~ spl64_11 ),
inference(forward_subsumption_resolution,[],[f3119,f1316]) ).
thf(f3143,plain,
( ( $false = $true )
| ( ( in @ sK27 @ nat )
= $false )
| ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ~ spl64_11 ),
inference(forward_demodulation,[],[f3139,f1297]) ).
thf(f3144,plain,
( ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ( ( in @ sK27 @ nat )
= $false )
| ~ spl64_11 ),
inference(trivial_inequality_removal,[],[f3143]) ).
thf(f3149,plain,
( ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ( $false = $true )
| ~ spl64_11 ),
inference(forward_demodulation,[],[f3144,f1293]) ).
thf(f3150,plain,
( ( ( n_pl @ sK28 @ ( sK53 @ sK28 @ sK27 ) )
= sK27 )
| ~ spl64_11 ),
inference(trivial_inequality_removal,[],[f3149]) ).
thf(f3153,plain,
( spl64_10
| ~ spl64_11 ),
inference(avatar_split_clause,[],[f3150,f2950,f2946]) ).
cnf(s15,plain,
( spl64_10
| spl64_11 ),
inference(sat_conversion,[],[f2953]) ).
cnf(s21,plain,
( ~ spl64_10
| spl64_15 ),
inference(sat_conversion,[],[f3007]) ).
cnf(s26,plain,
( spl64_11
| ~ spl64_15 ),
inference(sat_conversion,[],[f3087]) ).
cnf(s31,plain,
( ~ spl64_11
| ~ spl64_15 ),
inference(sat_conversion,[],[f3138]) ).
cnf(s32,plain,
( spl64_10
| ~ spl64_11 ),
inference(sat_conversion,[],[f3153]) ).
cnf(s35,plain,
spl64_10,
inference(rat,[],[s15,s32]) ).
cnf(s36,plain,
spl64_15,
inference(rat,[],[s21,s35]) ).
cnf(s37,plain,
~ spl64_11,
inference(rat,[],[s31,s36]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s26,s36,s37]) ).
thf(f3154,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM658^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n013.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 12:32:06 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.25 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
% 0.62/0.38 % (2033771)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.38 % (2033782)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.38 % (2033782)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.62/0.38 % (2033782)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=1364626192:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.38 % (2033776)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3854963745:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.38 % (2033777)lrs+10_16_si=on:nwc=1.5:random_seed=122685395:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.38 % (2033778)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1082125045:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.38 % (2033780)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=81769606:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.38 % (2033779)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=3428143720:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.62/0.38 % (2033781)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1930279141:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.38 % (2033778)Instruction limit reached!
% 0.62/0.38 % (2033778)------------------------------
% 0.62/0.38 % (2033778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2033778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2033778)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2033778)Termination reason: Instruction limit
% 0.62/0.38 % (2033778)Termination phase: shuffling
% 0.62/0.38 % (2033778)Time elapsed: 0.002 s
% 0.62/0.38 % (2033778)Peak memory usage: 10 MB
% 0.62/0.38 % (2033778)Instructions burned: 3 (million)
% 0.62/0.38 % (2033777)Instruction limit reached!
% 0.62/0.38 % (2033777)------------------------------
% 0.62/0.38 % (2033777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2033777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2033777)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2033777)Termination reason: Instruction limit
% 0.62/0.38 % (2033777)Termination phase: shuffling
% 0.62/0.38 % (2033777)Time elapsed: 0.008 s
% 0.62/0.38 % (2033777)Peak memory usage: 10 MB
% 0.62/0.38 % (2033777)Instructions burned: 18 (million)
% 0.62/0.38 % (2033780)Instruction limit reached!
% 0.62/0.38 % (2033780)------------------------------
% 0.62/0.38 % (2033780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2033780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2033780)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2033780)Termination reason: Instruction limit
% 0.62/0.38 % (2033780)Termination phase: Property scanning
% 0.62/0.38 % (2033780)Time elapsed: 0.012 s
% 0.62/0.38 % (2033780)Peak memory usage: 10 MB
% 0.62/0.38 % (2033780)Instructions burned: 25 (million)
% 0.62/0.38 % (2033790)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3518466444:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.38 % (2033790)Instruction limit reached!
% 0.62/0.38 % (2033790)------------------------------
% 0.62/0.38 % (2033790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.38 % (2033790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.38 % (2033790)CaDiCaL version: 2.1.3
% 0.62/0.38 % (2033790)Termination reason: Instruction limit
% 0.62/0.38 % (2033790)Termination phase: shuffling
% 0.62/0.38 % (2033790)Time elapsed: 0.002 s
% 0.62/0.38 % (2033790)Peak memory usage: 10 MB
% 0.62/0.38 % (2033790)Instructions burned: 4 (million)
% 0.62/0.38 % (2033792)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.41 % (2033782)Instruction limit reached!
% 0.62/0.41 % (2033782)------------------------------
% 0.62/0.41 % (2033782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2033782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2033782)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2033782)Termination reason: Instruction limit
% 0.62/0.41 % (2033782)Termination phase: Function definition elimination
% 0.62/0.41 % (2033782)Time elapsed: 0.035 s
% 0.62/0.41 % (2033782)Peak memory usage: 11 MB
% 0.62/0.41 % (2033782)Instructions burned: 161 (million)
% 0.62/0.41 % (2033791)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=529159658:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.41 % (2033792)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3757845652:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.41 % (2033791)Instruction limit reached!
% 0.62/0.41 % (2033791)------------------------------
% 0.62/0.41 % (2033791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2033791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2033791)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2033791)Termination reason: Instruction limit
% 0.62/0.41 % (2033791)Termination phase: shuffling
% 0.62/0.41 % (2033791)Time elapsed: 0.003 s
% 0.62/0.41 % (2033791)Peak memory usage: 10 MB
% 0.62/0.41 % (2033791)Instructions burned: 5 (million)
% 0.62/0.41 % (2033781)Instruction limit reached!
% 0.62/0.41 % (2033781)------------------------------
% 0.62/0.41 % (2033781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2033781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2033781)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2033781)Termination reason: Instruction limit
% 0.62/0.41 % (2033781)Termination phase: Function definition elimination
% 0.62/0.41 % (2033781)Time elapsed: 0.033 s
% 0.62/0.41 % (2033781)Peak memory usage: 11 MB
% 0.62/0.41 % (2033781)Instructions burned: 76 (million)
% 0.62/0.41 % (2033792)Instruction limit reached!
% 0.62/0.41 % (2033792)------------------------------
% 0.62/0.41 % (2033792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2033792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2033792)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2033792)Termination reason: Instruction limit
% 0.62/0.41 % (2033792)Termination phase: shuffling
% 0.62/0.41 % (2033792)Time elapsed: 0.004 s
% 0.62/0.41 % (2033792)Peak memory usage: 10 MB
% 0.62/0.41 % (2033792)Instructions burned: 8 (million)
% 0.62/0.41 % (2033776)Instruction limit reached!
% 0.62/0.41 % (2033776)------------------------------
% 0.62/0.41 % (2033776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2033776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2033776)CaDiCaL version: 2.1.3
% 0.62/0.41 % (2033776)Termination reason: Instruction limit
% 0.62/0.41 % (2033776)Termination phase: Function definition elimination
% 0.62/0.41 % (2033776)Time elapsed: 0.037 s
% 0.62/0.41 % (2033776)Peak memory usage: 11 MB
% 0.62/0.41 % (2033776)Instructions burned: 87 (million)
% 0.62/0.41 % (2033795)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.62/0.41 % (2033795)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.41 % (2033795)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2542634520:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.41 % (2033794)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=234235834:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.41 % (2033795)Instruction limit reached!
% 0.62/0.41 % (2033795)------------------------------
% 0.62/0.41 % (2033795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (2033795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (2033795)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2033795)Termination reason: Instruction limit
% 0.62/0.44 % (2033795)Termination phase: Property scanning
% 0.62/0.44 % (2033795)Time elapsed: 0.007 s
% 0.62/0.44 % (2033795)Peak memory usage: 10 MB
% 0.62/0.44 % (2033795)Instructions burned: 31 (million)
% 0.62/0.44 % (2033794)Instruction limit reached!
% 0.62/0.44 % (2033794)------------------------------
% 0.62/0.44 % (2033794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2033794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2033794)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2033794)Termination reason: Instruction limit
% 0.62/0.44 % (2033794)Termination phase: shuffling
% 0.62/0.44 % (2033794)Time elapsed: 0.006 s
% 0.62/0.44 % (2033794)Peak memory usage: 10 MB
% 0.62/0.44 % (2033794)Instructions burned: 14 (million)
% 0.62/0.44 % (2033800)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.44 % (2033798)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=1815425638:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.44 % (2033799)lrs+10_1_si=on:cs=on:random_seed=3103498774:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.44 % (2033800)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=3176186006:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.44 % (2033801)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2895629929:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.62/0.44 % (2033800)Instruction limit reached!
% 0.62/0.44 % (2033800)------------------------------
% 0.62/0.44 % (2033800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2033800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2033800)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2033800)Termination reason: Instruction limit
% 0.62/0.44 % (2033800)Termination phase: shuffling
% 0.62/0.44 % (2033800)Time elapsed: 0.002 s
% 0.62/0.44 % (2033800)Peak memory usage: 10 MB
% 0.62/0.44 % (2033800)Instructions burned: 3 (million)
% 0.62/0.44 % (2033799)Instruction limit reached!
% 0.62/0.44 % (2033799)------------------------------
% 0.62/0.44 % (2033799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2033799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2033799)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2033799)Termination reason: Instruction limit
% 0.62/0.44 % (2033799)Termination phase: shuffling
% 0.62/0.44 % (2033799)Time elapsed: 0.004 s
% 0.62/0.44 % (2033799)Peak memory usage: 10 MB
% 0.62/0.44 % (2033799)Instructions burned: 9 (million)
% 0.62/0.44 % (2033804)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1257025051:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.62/0.44 % (2033805)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=902368491:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.62/0.44 % (2033804)Refutation not found, incomplete strategy
% 0.62/0.44 % (2033804)------------------------------
% 0.62/0.44 % (2033804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2033804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2033804)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2033804)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.44 % (2033804)Time elapsed: 0.011 s
% 0.62/0.44 % (2033804)Peak memory usage: 13 MB
% 0.62/0.44 % (2033804)Instructions burned: 45 (million)
% 0.62/0.44 % (2033804)------------------------------
% 0.62/0.44 % (2033804)------------------------------
% 0.62/0.44 % (2033801)Instruction limit reached!
% 0.62/0.44 % (2033801)------------------------------
% 0.62/0.44 % (2033801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2033801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2033801)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2033801)Termination reason: Instruction limit
% 0.62/0.44 % (2033801)Termination phase: Saturation
% 0.62/0.44 % (2033801)Time elapsed: 0.018 s
% 0.62/0.44 % (2033801)Peak memory usage: 13 MB
% 1.36/0.48 % (2033801)Instructions burned: 38 (million)
% 1.36/0.48 % (2033811)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=20807776:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.36/0.48 % (2033812)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1614621710:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.36/0.48 % (2033814)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=556185973:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.36/0.48 % (2033805)Instruction limit reached!
% 1.36/0.48 % (2033805)------------------------------
% 1.36/0.48 % (2033805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.48 % (2033805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.48 % (2033805)CaDiCaL version: 2.1.3
% 1.36/0.48 % (2033805)Termination reason: Instruction limit
% 1.36/0.48 % (2033805)Termination phase: Property scanning
% 1.36/0.48 % (2033805)Time elapsed: 0.012 s
% 1.36/0.48 % (2033805)Peak memory usage: 10 MB
% 1.36/0.48 % (2033805)Instructions burned: 26 (million)
% 1.36/0.48 % (2033811)Instruction limit reached!
% 1.36/0.48 % (2033811)------------------------------
% 1.36/0.48 % (2033811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.48 % (2033811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.48 % (2033811)CaDiCaL version: 2.1.3
% 1.36/0.48 % (2033811)Termination reason: Instruction limit
% 1.36/0.48 % (2033811)Termination phase: shuffling
% 1.36/0.48 % (2033811)Time elapsed: 0.006 s
% 1.36/0.48 % (2033811)Peak memory usage: 10 MB
% 1.36/0.48 % (2033811)Instructions burned: 14 (million)
% 1.36/0.48 % (2033814)Instruction limit reached!
% 1.36/0.48 % (2033814)------------------------------
% 1.36/0.48 % (2033814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.48 % (2033814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.48 % (2033814)CaDiCaL version: 2.1.3
% 1.36/0.48 % (2033814)Termination reason: Instruction limit
% 1.36/0.48 % (2033814)Termination phase: shuffling
% 1.36/0.48 % (2033814)Time elapsed: 0.004 s
% 1.36/0.48 % (2033814)Peak memory usage: 10 MB
% 1.36/0.48 % (2033814)Instructions burned: 18 (million)
% 1.36/0.48 % (2033798)Instruction limit reached!
% 1.36/0.48 % (2033798)------------------------------
% 1.36/0.48 % (2033798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.48 % (2033798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.48 % (2033798)CaDiCaL version: 2.1.3
% 1.36/0.48 % (2033798)Termination reason: Instruction limit
% 1.36/0.48 % (2033798)Termination phase: Function definition elimination
% 1.36/0.48 % (2033798)Time elapsed: 0.037 s
% 1.36/0.48 % (2033798)Peak memory usage: 11 MB
% 1.36/0.48 % (2033798)Instructions burned: 87 (million)
% 1.36/0.48 % (2033815)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4158218505: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)
% 1.36/0.48 % (2033815)Instruction limit reached!
% 1.36/0.48 % (2033815)------------------------------
% 1.36/0.48 % (2033815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.48 % (2033815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.48 % (2033815)CaDiCaL version: 2.1.3
% 1.36/0.48 % (2033815)Termination reason: Instruction limit
% 1.36/0.48 % (2033815)Termination phase: shuffling
% 1.36/0.48 % (2033815)Time elapsed: 0.002 s
% 1.36/0.48 % (2033815)Peak memory usage: 10 MB
% 1.36/0.48 % (2033815)Instructions burned: 3 (million)
% 1.36/0.48 % (2033821)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3967444078:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.36/0.48 % (2033819)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1206062575:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.36/0.48 % (2033820)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2691148883:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.36/0.48 % (2033822)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
% 1.36/0.54 % (2033822)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.36/0.54 % (2033822)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=913451240:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.36/0.54 % (2033825)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.36/0.54 % (2033821)Instruction limit reached!
% 1.36/0.54 % (2033821)------------------------------
% 1.36/0.54 % (2033821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (2033821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (2033821)CaDiCaL version: 2.1.3
% 1.36/0.54 % (2033821)Termination reason: Instruction limit
% 1.36/0.54 % (2033821)Termination phase: Saturation
% 1.36/0.54 % (2033821)Time elapsed: 0.015 s
% 1.36/0.54 % (2033821)Peak memory usage: 12 MB
% 1.36/0.54 % (2033821)Instructions burned: 64 (million)
% 1.36/0.54 % (2033819)Instruction limit reached!
% 1.36/0.54 % (2033819)------------------------------
% 1.36/0.54 % (2033819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (2033819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (2033819)CaDiCaL version: 2.1.3
% 1.36/0.54 % (2033819)Termination reason: Instruction limit
% 1.36/0.54 % (2033819)Termination phase: Property scanning
% 1.36/0.54 % (2033819)Time elapsed: 0.012 s
% 1.36/0.54 % (2033819)Peak memory usage: 10 MB
% 1.36/0.54 % (2033819)Instructions burned: 26 (million)
% 1.36/0.54 % (2033820)Instruction limit reached!
% 1.36/0.54 % (2033820)------------------------------
% 1.36/0.54 % (2033820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (2033820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (2033820)CaDiCaL version: 2.1.3
% 1.36/0.54 % (2033820)Termination reason: Instruction limit
% 1.36/0.54 % (2033820)Termination phase: Property scanning
% 1.36/0.54 % (2033820)Time elapsed: 0.011 s
% 1.36/0.54 % (2033820)Peak memory usage: 10 MB
% 1.36/0.54 % (2033820)Instructions burned: 24 (million)
% 1.36/0.54 % (2033822)Instruction limit reached!
% 1.36/0.54 % (2033822)------------------------------
% 1.36/0.54 % (2033822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (2033822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (2033822)CaDiCaL version: 2.1.3
% 1.36/0.54 % (2033822)Termination reason: Instruction limit
% 1.36/0.54 % (2033822)Termination phase: shuffling
% 1.36/0.54 % (2033822)Time elapsed: 0.006 s
% 1.36/0.54 % (2033822)Peak memory usage: 10 MB
% 1.36/0.54 % (2033822)Instructions burned: 14 (million)
% 1.36/0.54 % (2033825)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=2783814615:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.36/0.54 % (2033825)Instruction limit reached!
% 1.36/0.54 % (2033825)------------------------------
% 1.36/0.54 % (2033825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (2033825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (2033825)CaDiCaL version: 2.1.3
% 1.36/0.54 % (2033825)Termination reason: Instruction limit
% 1.36/0.54 % (2033825)Termination phase: shuffling
% 1.36/0.54 % (2033825)Time elapsed: 0.004 s
% 1.36/0.54 % (2033825)Peak memory usage: 10 MB
% 1.36/0.54 % (2033825)Instructions burned: 9 (million)
% 1.36/0.54 % (2033829)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=4027739791:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.36/0.54 % (2033829)Instruction limit reached!
% 1.36/0.54 % (2033829)------------------------------
% 1.36/0.54 % (2033829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (2033829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (2033829)CaDiCaL version: 2.1.3
% 1.36/0.54 % (2033829)Termination reason: Instruction limit
% 1.36/0.54 % (2033829)Termination phase: Property scanning
% 1.36/0.54 % (2033829)Time elapsed: 0.008 s
% 1.36/0.54 % (2033829)Peak memory usage: 10 MB
% 2.06/0.62 % (2033829)Instructions burned: 35 (million)
% 2.06/0.62 % (2033830)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3153868560:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.06/0.62 % (2033831)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2131955052:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.06/0.62 % (2033833)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=86341094:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.06/0.62 % (2033830)Instruction limit reached!
% 2.06/0.62 % (2033830)------------------------------
% 2.06/0.62 % (2033830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.62 % (2033830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.62 % (2033830)CaDiCaL version: 2.1.3
% 2.06/0.62 % (2033830)Termination reason: Instruction limit
% 2.06/0.62 % (2033830)Termination phase: shuffling
% 2.06/0.62 % (2033830)Time elapsed: 0.006 s
% 2.06/0.62 % (2033830)Peak memory usage: 10 MB
% 2.06/0.62 % (2033830)Instructions burned: 14 (million)
% 2.06/0.62 % (2033834)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=301143990:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.06/0.62 % (2033833)Instruction limit reached!
% 2.06/0.62 % (2033833)------------------------------
% 2.06/0.62 % (2033833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.62 % (2033833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.62 % (2033833)CaDiCaL version: 2.1.3
% 2.06/0.62 % (2033833)Termination reason: Instruction limit
% 2.06/0.62 % (2033833)Termination phase: Property scanning
% 2.06/0.62 % (2033833)Time elapsed: 0.009 s
% 2.06/0.62 % (2033833)Peak memory usage: 10 MB
% 2.06/0.62 % (2033833)Instructions burned: 20 (million)
% 2.06/0.62 % (2033831)Instruction limit reached!
% 2.06/0.62 % (2033831)------------------------------
% 2.06/0.62 % (2033831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.62 % (2033831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.62 % (2033831)CaDiCaL version: 2.1.3
% 2.06/0.62 % (2033831)Termination reason: Instruction limit
% 2.06/0.62 % (2033831)Termination phase: Property scanning
% 2.06/0.62 % (2033831)Time elapsed: 0.011 s
% 2.06/0.62 % (2033831)Peak memory usage: 10 MB
% 2.06/0.62 % (2033831)Instructions burned: 24 (million)
% 2.06/0.62 % (2033839)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1725453041:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.06/0.62 % (2033840)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2098411070:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.06/0.62 % (2033843)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.06/0.62 % (2033842)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=417146885:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.06/0.62 % (2033843)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=530066830:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.06/0.62 % (2033843)Instruction limit reached!
% 2.06/0.62 % (2033843)------------------------------
% 2.06/0.62 % (2033843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.62 % (2033843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.62 % (2033843)CaDiCaL version: 2.1.3
% 2.06/0.62 % (2033843)Termination reason: Instruction limit
% 2.06/0.62 % (2033843)Termination phase: shuffling
% 2.06/0.62 % (2033843)Time elapsed: 0.004 s
% 2.06/0.62 % (2033843)Peak memory usage: 10 MB
% 2.06/0.62 % (2033843)Instructions burned: 9 (million)
% 2.06/0.62 % (2033839)Instruction limit reached!
% 2.06/0.62 % (2033839)------------------------------
% 2.06/0.62 % (2033839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.62 % (2033839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.62 % (2033839)CaDiCaL version: 2.1.3
% 2.06/0.62 % (2033839)Termination reason: Instruction limit
% 2.06/0.62 % (2033839)Termination phase: Function definition elimination
% 2.48/0.66 % (2033839)Time elapsed: 0.032 s
% 2.48/0.66 % (2033839)Peak memory usage: 11 MB
% 2.48/0.66 % (2033839)Instructions burned: 147 (million)
% 2.48/0.66 % (2033842)Instruction limit reached!
% 2.48/0.66 % (2033842)------------------------------
% 2.48/0.66 % (2033842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (2033842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (2033842)CaDiCaL version: 2.1.3
% 2.48/0.66 % (2033842)Termination reason: Instruction limit
% 2.48/0.66 % (2033842)Termination phase: Property scanning
% 2.48/0.66 % (2033842)Time elapsed: 0.019 s
% 2.48/0.66 % (2033842)Peak memory usage: 11 MB
% 2.48/0.66 % (2033842)Instructions burned: 44 (million)
% 2.48/0.66 % (2033848)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2274025205:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.48/0.66 % (2033849)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=2238094290: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)
% 2.48/0.66 % (2033850)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.48/0.66 % (2033850)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2021825631:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.48/0.66 % (2033850)Instruction limit reached!
% 2.48/0.66 % (2033850)------------------------------
% 2.48/0.66 % (2033850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (2033850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (2033850)CaDiCaL version: 2.1.3
% 2.48/0.66 % (2033850)Termination reason: Instruction limit
% 2.48/0.66 % (2033850)Termination phase: shuffling
% 2.48/0.66 % (2033850)Time elapsed: 0.003 s
% 2.48/0.66 % (2033850)Peak memory usage: 10 MB
% 2.48/0.66 % (2033850)Instructions burned: 6 (million)
% 2.48/0.66 % (2033849)Refutation not found, incomplete strategy
% 2.48/0.66 % (2033849)------------------------------
% 2.48/0.66 % (2033849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (2033849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (2033849)CaDiCaL version: 2.1.3
% 2.48/0.66 % (2033849)Termination reason: Refutation not found, incomplete strategy
% 2.48/0.66 % (2033849)Time elapsed: 0.018 s
% 2.48/0.66 % (2033849)Peak memory usage: 13 MB
% 2.48/0.66 % (2033849)Instructions burned: 75 (million)
% 2.48/0.66 % (2033849)------------------------------
% 2.48/0.66 % (2033849)------------------------------
% 2.48/0.66 % (2033855)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3920633817:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.48/0.66 % (2033854)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1297093298:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.48/0.66 % (2033855)Instruction limit reached!
% 2.48/0.66 % (2033855)------------------------------
% 2.48/0.66 % (2033855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (2033855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (2033855)CaDiCaL version: 2.1.3
% 2.48/0.66 % (2033855)Termination reason: Instruction limit
% 2.48/0.66 % (2033855)Termination phase: Property scanning
% 2.48/0.66 % (2033855)Time elapsed: 0.008 s
% 2.48/0.66 % (2033855)Peak memory usage: 10 MB
% 2.48/0.66 % (2033855)Instructions burned: 34 (million)
% 2.48/0.66 % (2033854)Instruction limit reached!
% 2.48/0.66 % (2033854)------------------------------
% 2.48/0.66 % (2033854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (2033854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (2033854)CaDiCaL version: 2.1.3
% 2.48/0.66 % (2033854)Termination reason: Instruction limit
% 2.48/0.66 % (2033854)Termination phase: Property scanning
% 2.48/0.66 % (2033854)Time elapsed: 0.010 s
% 2.48/0.66 % (2033854)Peak memory usage: 10 MB
% 2.48/0.66 % (2033854)Instructions burned: 23 (million)
% 2.48/0.66 % (2033858)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=1461406493:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.88/0.71 % (2033812)Instruction limit reached!
% 2.88/0.71 % (2033812)------------------------------
% 2.88/0.71 % (2033812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (2033812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (2033812)CaDiCaL version: 2.1.3
% 2.88/0.71 % (2033812)Termination reason: Instruction limit
% 2.88/0.71 % (2033812)Termination phase: Saturation
% 2.88/0.71 % (2033812)Time elapsed: 0.166 s
% 2.88/0.71 % (2033812)Peak memory usage: 14 MB
% 2.88/0.71 % (2033812)Instructions burned: 327 (million)
% 2.88/0.71 % (2033859)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=2452336876:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.88/0.71 % (2033840)Instruction limit reached!
% 2.88/0.71 % (2033840)------------------------------
% 2.88/0.71 % (2033840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (2033840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (2033840)CaDiCaL version: 2.1.3
% 2.88/0.71 % (2033840)Termination reason: Instruction limit
% 2.88/0.71 % (2033840)Termination phase: Saturation
% 2.88/0.71 % (2033840)Time elapsed: 0.098 s
% 2.88/0.71 % (2033840)Peak memory usage: 14 MB
% 2.88/0.71 % (2033840)Instructions burned: 194 (million)
% 2.88/0.71 % (2033861)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=1892969307:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.88/0.71 % (2033863)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2269508284:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.88/0.71 % (2033848)Instruction limit reached!
% 2.88/0.71 % (2033848)------------------------------
% 2.88/0.71 % (2033848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (2033848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (2033848)CaDiCaL version: 2.1.3
% 2.88/0.71 % (2033848)Termination reason: Instruction limit
% 2.88/0.71 % (2033848)Termination phase: Saturation
% 2.88/0.71 % (2033848)Time elapsed: 0.091 s
% 2.88/0.71 % (2033848)Peak memory usage: 13 MB
% 2.88/0.71 % (2033848)Instructions burned: 182 (million)
% 2.88/0.71 % (2033861)Instruction limit reached!
% 2.88/0.71 % (2033861)------------------------------
% 2.88/0.71 % (2033861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (2033861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (2033861)CaDiCaL version: 2.1.3
% 2.88/0.71 % (2033861)Termination reason: Instruction limit
% 2.88/0.71 % (2033861)Termination phase: SInE selection
% 2.88/0.71 % (2033861)Time elapsed: 0.020 s
% 2.88/0.71 % (2033861)Peak memory usage: 11 MB
% 2.88/0.71 % (2033861)Instructions burned: 46 (million)
% 2.88/0.71 % (2033866)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1473305952: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)
% 2.88/0.71 % (2033867)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.88/0.71 % (2033858)Instruction limit reached!
% 2.88/0.71 % (2033858)------------------------------
% 2.88/0.71 % (2033858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.71 % (2033858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.71 % (2033858)CaDiCaL version: 2.1.3
% 2.88/0.71 % (2033858)Termination reason: Instruction limit
% 2.88/0.71 % (2033858)Termination phase: Property scanning
% 2.88/0.71 % (2033858)Time elapsed: 0.065 s
% 2.88/0.71 % (2033858)Peak memory usage: 11 MB
% 2.88/0.71 % (2033858)Instructions burned: 316 (million)
% 2.88/0.71 % (2033867)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3892728454:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.88/0.71 % (2033866)Instruction limit reached!
% 2.88/0.71 % (2033866)------------------------------
% 2.88/0.71 % (2033866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033866)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033866)Termination reason: Instruction limit
% 3.31/0.81 % (2033866)Termination phase: Property scanning
% 3.31/0.81 % (2033866)Time elapsed: 0.009 s
% 3.31/0.81 % (2033866)Peak memory usage: 10 MB
% 3.31/0.81 % (2033866)Instructions burned: 21 (million)
% 3.31/0.81 % (2033869)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=405686722:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.31/0.81 % (2033863)Refutation not found, incomplete strategy
% 3.31/0.81 % (2033863)------------------------------
% 3.31/0.81 % (2033863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033863)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033863)Termination reason: Refutation not found, incomplete strategy
% 3.31/0.81 % (2033863)Time elapsed: 0.037 s
% 3.31/0.81 % (2033863)Peak memory usage: 13 MB
% 3.31/0.81 % (2033863)Instructions burned: 79 (million)
% 3.31/0.81 % (2033863)------------------------------
% 3.31/0.81 % (2033863)------------------------------
% 3.31/0.81 % (2033869)Instruction limit reached!
% 3.31/0.81 % (2033869)------------------------------
% 3.31/0.81 % (2033869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033869)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033869)Termination reason: Instruction limit
% 3.31/0.81 % (2033869)Termination phase: shuffling
% 3.31/0.81 % (2033869)Time elapsed: 0.004 s
% 3.31/0.81 % (2033869)Peak memory usage: 10 MB
% 3.31/0.81 % (2033869)Instructions burned: 18 (million)
% 3.31/0.81 % (2033874)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=826786735:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.31/0.81 % (2033871)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=1326561998:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.31/0.81 % (2033873)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3818464688:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.31/0.81 % (2033874)Instruction limit reached!
% 3.31/0.81 % (2033874)------------------------------
% 3.31/0.81 % (2033874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033874)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033874)Termination reason: Instruction limit
% 3.31/0.81 % (2033874)Termination phase: Property scanning
% 3.31/0.81 % (2033874)Time elapsed: 0.007 s
% 3.31/0.81 % (2033874)Peak memory usage: 10 MB
% 3.31/0.81 % (2033874)Instructions burned: 32 (million)
% 3.31/0.81 % (2033878)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3179394951:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.31/0.81 % (2033779)Instruction limit reached!
% 3.31/0.81 % (2033779)------------------------------
% 3.31/0.81 % (2033779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033779)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033779)Termination reason: Instruction limit
% 3.31/0.81 % (2033779)Termination phase: Saturation
% 3.31/0.81 % (2033779)Time elapsed: 0.347 s
% 3.31/0.81 % (2033779)Peak memory usage: 17 MB
% 3.31/0.81 % (2033779)Instructions burned: 634 (million)
% 3.31/0.81 % (2033871)Instruction limit reached!
% 3.31/0.81 % (2033871)------------------------------
% 3.31/0.81 % (2033871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033871)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033871)Termination reason: Instruction limit
% 3.31/0.81 % (2033871)Termination phase: Function definition elimination
% 3.31/0.81 % (2033871)Time elapsed: 0.029 s
% 3.31/0.81 % (2033871)Peak memory usage: 11 MB
% 3.31/0.81 % (2033871)Instructions burned: 67 (million)
% 3.31/0.81 % (2033873)Instruction limit reached!
% 3.31/0.81 % (2033873)------------------------------
% 3.31/0.81 % (2033873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033873)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033873)Termination reason: Instruction limit
% 3.31/0.81 % (2033873)Termination phase: Function definition elimination
% 3.31/0.81 % (2033873)Time elapsed: 0.023 s
% 3.31/0.81 % (2033873)Peak memory usage: 11 MB
% 3.31/0.81 % (2033873)Instructions burned: 54 (million)
% 3.31/0.81 % (2033880)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=450988503:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.31/0.81 % (2033882)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.31/0.81 % (2033881)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4208292122:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.31/0.81 % (2033882)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3572769339:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.31/0.81 % (2033878)Instruction limit reached!
% 3.31/0.81 % (2033878)------------------------------
% 3.31/0.81 % (2033878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033878)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033878)Termination reason: Instruction limit
% 3.31/0.81 % (2033878)Termination phase: Saturation
% 3.31/0.81 % (2033878)Time elapsed: 0.038 s
% 3.31/0.81 % (2033878)Peak memory usage: 13 MB
% 3.31/0.81 % (2033878)Instructions burned: 138 (million)
% 3.31/0.81 % (2033867)Instruction limit reached!
% 3.31/0.81 % (2033867)------------------------------
% 3.31/0.81 % (2033867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033867)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033867)Termination reason: Instruction limit
% 3.31/0.81 % (2033867)Termination phase: Function definition elimination
% 3.31/0.81 % (2033867)Time elapsed: 0.080 s
% 3.31/0.81 % (2033867)Peak memory usage: 11 MB
% 3.31/0.81 % (2033867)Instructions burned: 200 (million)
% 3.31/0.81 % (2033880)Instruction limit reached!
% 3.31/0.81 % (2033880)------------------------------
% 3.31/0.81 % (2033880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033880)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033880)Termination reason: Instruction limit
% 3.31/0.81 % (2033880)Termination phase: Property scanning
% 3.31/0.81 % (2033880)Time elapsed: 0.016 s
% 3.31/0.81 % (2033880)Peak memory usage: 10 MB
% 3.31/0.81 % (2033880)Instructions burned: 37 (million)
% 3.31/0.81 % (2033888)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=664373142:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.31/0.81 % (2033887)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4199500543:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.31/0.81 % (2033886)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1377813643:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.31/0.81 % (2033888)Refutation not found, incomplete strategy
% 3.31/0.81 % (2033888)------------------------------
% 3.31/0.81 % (2033888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033888)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033888)Termination reason: Refutation not found, incomplete strategy
% 3.31/0.81 % (2033888)Time elapsed: 0.010 s
% 3.31/0.81 % (2033888)Peak memory usage: 13 MB
% 3.31/0.81 % (2033888)Instructions burned: 40 (million)
% 3.31/0.81 % (2033881)Instruction limit reached!
% 3.31/0.81 % (2033881)------------------------------
% 3.31/0.81 % (2033881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033888)------------------------------
% 3.31/0.81 % (2033888)------------------------------
% 3.31/0.81 % (2033881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033881)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033881)Termination reason: Instruction limit
% 3.31/0.81 % (2033881)Termination phase: Function definition elimination
% 3.31/0.81 % (2033881)Time elapsed: 0.029 s
% 3.31/0.81 % (2033881)Peak memory usage: 11 MB
% 3.31/0.81 % (2033881)Instructions burned: 68 (million)
% 3.31/0.81 % (2033893)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=245570009:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.31/0.81 % (2033892)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1517221788:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.31/0.81 % (2033886)Refutation not found, incomplete strategy
% 3.31/0.81 % (2033886)------------------------------
% 3.31/0.81 % (2033886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033886)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033886)Termination reason: Refutation not found, incomplete strategy
% 3.31/0.81 % (2033886)Time elapsed: 0.038 s
% 3.31/0.81 % (2033886)Peak memory usage: 13 MB
% 3.31/0.81 % (2033886)Instructions burned: 80 (million)
% 3.31/0.81 % (2033886)------------------------------
% 3.31/0.81 % (2033886)------------------------------
% 3.31/0.81 % (2033887)Instruction limit reached!
% 3.31/0.81 % (2033887)------------------------------
% 3.31/0.81 % (2033887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033887)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033887)Termination reason: Instruction limit
% 3.31/0.81 % (2033887)Termination phase: Function definition elimination
% 3.31/0.81 % (2033887)Time elapsed: 0.040 s
% 3.31/0.81 % (2033887)Peak memory usage: 11 MB
% 3.31/0.81 % (2033887)Instructions burned: 97 (million)
% 3.31/0.81 % (2033882)Instruction limit reached!
% 3.31/0.81 % (2033882)------------------------------
% 3.31/0.81 % (2033882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033882)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033882)Termination reason: Instruction limit
% 3.31/0.81 % (2033882)Termination phase: Function definition elimination
% 3.31/0.81 % (2033882)Time elapsed: 0.072 s
% 3.31/0.81 % (2033882)Peak memory usage: 11 MB
% 3.31/0.81 % (2033882)Instructions burned: 181 (million)
% 3.31/0.81 % (2033896)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=537343959:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.31/0.81 % (2033897)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=733701778:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.31/0.81 % (2033898)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2959694757:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.31/0.81 % (2033897)Instruction limit reached!
% 3.31/0.81 % (2033897)------------------------------
% 3.31/0.81 % (2033897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033897)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033897)Termination reason: Instruction limit
% 3.31/0.81 % (2033897)Termination phase: Property scanning
% 3.31/0.81 % (2033897)Time elapsed: 0.019 s
% 3.31/0.81 % (2033897)Peak memory usage: 10 MB
% 3.31/0.81 % (2033897)Instructions burned: 45 (million)
% 3.31/0.81 % (2033893) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2033771-2033893"...
% 3.31/0.81 % (2033893)...printing done.
% 3.31/0.81 % (2033893)Refutation found. Thanks to Tanya!
% 3.31/0.81 % SZS status Theorem for theBenchmark
% 3.31/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 3.31/0.81 % (2033893)------------------------------
% 3.31/0.81 % (2033893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.81 % (2033893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.81 % (2033893)CaDiCaL version: 2.1.3
% 3.31/0.81 % (2033893)Termination reason: Refutation
% 3.31/0.81 % (2033893)Time elapsed: 0.082 s
% 3.31/0.81 % (2033893)Peak memory usage: 15 MB
% 3.31/0.81 % (2033893)Instructions burned: 338 (million)
% 3.31/0.81 % (2033771)Success in time 0.549 s
% 3.31/0.81 % Vampire exiting
%------------------------------------------------------------------------------