%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP086^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:17 AM UTC 2026
% Result : Theorem 0.28s 0.43s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 34 unt; 0 typ; 6 def)
% Number of atoms : 296 ( 82 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 437 ( 74 ~; 62 |; 0 &; 275 @)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 166 ( 163 usr; 16 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Secrecy_specID: $tType ).
thf(type_def_6,type,
set_Secrecy_chanID: $tType ).
thf(type_def_7,type,
secrecy_Expression: $tType ).
thf(type_def_8,type,
secrecy_specID: $tType ).
thf(type_def_9,type,
secrecy_chanID: $tType ).
thf(type_def_10,type,
nat: $tType ).
thf(type_def_11,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
uminus1044094777chanID: set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_1,type,
uminus238526242specID: set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_2,type,
inf_in1474033538chanID: set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_3,type,
inf_in668465003specID: set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_4,type,
sup_su370684444chanID: set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_5,type,
sup_su1712599557specID: set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_6,type,
bot_bo1012329985anID_o: secrecy_chanID > $o ).
thf(func_def_7,type,
bot_bo1767780696ecID_o: secrecy_specID > $o ).
thf(func_def_8,type,
bot_bot_o: $o ).
thf(func_def_9,type,
bot_bo443197316chanID: set_Secrecy_chanID ).
thf(func_def_10,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(func_def_11,type,
ord_le1802272080chanID: set_Secrecy_chanID > set_Secrecy_chanID > $o ).
thf(func_def_12,type,
ord_le996703545specID: set_Secrecy_specID > set_Secrecy_specID > $o ).
thf(func_def_13,type,
eout: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_14,type,
eoutM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_15,type,
exprChannel: secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_16,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_17,type,
ineM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_18,type,
ine_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_19,type,
ine_ex1303305700Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_20,type,
out_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_21,type,
out_ex985543062Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_22,type,
collec625564175chanID: ( secrecy_chanID > $o ) > set_Secrecy_chanID ).
thf(func_def_23,type,
collec1545797240specID: ( secrecy_specID > $o ) > set_Secrecy_specID ).
thf(func_def_24,type,
insert751661162chanID: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_25,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_26,type,
is_emp928984296chanID: set_Secrecy_chanID > $o ).
thf(func_def_27,type,
is_emp1849217361specID: set_Secrecy_specID > $o ).
thf(func_def_28,type,
is_sin581274182chanID: set_Secrecy_chanID > $o ).
thf(func_def_29,type,
is_sin1501507247specID: set_Secrecy_specID > $o ).
thf(func_def_30,type,
pairwi1741995279chanID: ( secrecy_chanID > secrecy_chanID > $o ) > set_Secrecy_chanID > $o ).
thf(func_def_31,type,
pairwi514744696specID: ( secrecy_specID > secrecy_specID > $o ) > set_Secrecy_specID > $o ).
thf(func_def_32,type,
the_el2054381829chanID: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_33,type,
the_el827131246specID: set_Secrecy_specID > secrecy_specID ).
thf(func_def_34,type,
correctCompositionIn: secrecy_specID > $o ).
thf(func_def_35,type,
correc965049635ionLoc: secrecy_specID > $o ).
thf(func_def_36,type,
correc990227761ionOut: secrecy_specID > $o ).
thf(func_def_37,type,
correctInOutLoc: secrecy_specID > $o ).
thf(func_def_38,type,
inStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_39,type,
ins: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_40,type,
loc: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_41,type,
locStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_42,type,
out: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_43,type,
outStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_44,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(func_def_45,type,
member1967978193chanID: secrecy_chanID > set_Secrecy_chanID > $o ).
thf(func_def_46,type,
member740727610specID: secrecy_specID > set_Secrecy_specID > $o ).
thf(func_def_47,type,
p: secrecy_specID ).
thf(func_def_48,type,
pq: secrecy_specID ).
thf(func_def_49,type,
q: secrecy_specID ).
thf(func_def_50,type,
ch: secrecy_chanID ).
thf(func_def_51,type,
m: secrecy_Expression ).
thf(func_def_55,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vAND: $o > $o > $o ).
thf(func_def_57,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_62,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_63,type,
vIMP: $o > $o > $o ).
thf(func_def_64,type,
vNOT: $o > $o ).
thf(func_def_65,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_66,type,
sK0: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_67,type,
sK1: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_68,type,
sK2: set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_69,type,
sK3: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_70,type,
sK4: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_71,type,
sK5: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_72,type,
sK6: set_Secrecy_specID > secrecy_specID ).
thf(func_def_73,type,
sK7: set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_74,type,
sK8: ( secrecy_chanID > $o ) > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_75,type,
sK9: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_76,type,
sK10: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_77,type,
sK11: set_Secrecy_specID > secrecy_specID ).
thf(func_def_78,type,
sK12: set_Secrecy_specID > secrecy_specID ).
thf(func_def_79,type,
sK13: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_80,type,
sK14: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_81,type,
sK15: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_82,type,
sK16: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_83,type,
sK17: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_84,type,
sK18: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_85,type,
sK19: set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_86,type,
sK20: ( secrecy_specID > $o ) > ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_87,type,
sK21: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_88,type,
sK22: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(func_def_89,type,
sK23: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(func_def_90,type,
sK24: secrecy_specID > ( secrecy_specID > secrecy_specID > $o ) > set_Secrecy_specID > secrecy_specID ).
thf(func_def_91,type,
sK25: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_92,type,
sK26: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_93,type,
sK27: secrecy_chanID > set_Secrecy_chanID > ( secrecy_chanID > secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_94,type,
sK28: set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_95,type,
sK29: set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_96,type,
sK30: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_97,type,
sK31: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_98,type,
sK32: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_99,type,
sK33: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_100,type,
sK34: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(func_def_101,type,
sK35: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(func_def_102,type,
sK36: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_103,type,
sK37: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_104,type,
sK38: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_105,type,
sK39: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_106,type,
sK40: set_Secrecy_specID > secrecy_specID ).
thf(func_def_107,type,
sK41: set_Secrecy_specID > secrecy_specID ).
thf(func_def_108,type,
sK42: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_109,type,
sK43: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_110,type,
sK44: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_111,type,
sK45: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_112,type,
sK46: set_Secrecy_specID > secrecy_specID ).
thf(func_def_113,type,
sK47: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_114,type,
sK48: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_115,type,
sK49: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_116,type,
sK50: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_117,type,
sK51: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_118,type,
sK52: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_119,type,
sK53: set_Secrecy_specID > ( secrecy_specID > secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_120,type,
sK54: set_Secrecy_specID > ( secrecy_specID > secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_121,type,
sK55: set_Secrecy_specID > set_Secrecy_specID > secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_122,type,
sK56: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_123,type,
sK57: ( set_Secrecy_specID > set_Secrecy_specID ) > set_Secrecy_specID ).
thf(func_def_124,type,
sK58: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_125,type,
sK59: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_126,type,
sK60: set_Secrecy_specID > set_Secrecy_specID > secrecy_specID ).
thf(func_def_127,type,
sK61: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_128,type,
sK62: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_129,type,
sK63: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_130,type,
sK64: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(func_def_131,type,
sK65: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(func_def_132,type,
sK66: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_133,type,
sK67: ( set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_134,type,
sK68: ( set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_135,type,
sK69: ( set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_136,type,
sK70: ( set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_137,type,
sK71: ( set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_138,type,
sK72: ( set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_139,type,
sK73: ( set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_140,type,
sK74: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_141,type,
sK75: ( set_Secrecy_chanID > set_Secrecy_chanID ) > set_Secrecy_chanID ).
thf(func_def_142,type,
sK76: ( secrecy_chanID > secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_143,type,
sK77: ( secrecy_chanID > secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_144,type,
sK78: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_145,type,
sK79: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_146,type,
sK80: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_147,type,
sK81: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_148,type,
sK82: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_149,type,
sK83: ( secrecy_chanID > $o ) > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_150,type,
sK84: set_Secrecy_chanID > set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_151,type,
sK85: set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_152,type,
sK86: set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_153,type,
sK87: set_Secrecy_specID > secrecy_specID ).
thf(func_def_154,type,
sK88: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_155,type,
sK89: ( set_Secrecy_chanID > set_Secrecy_specID ) > set_Secrecy_chanID ).
thf(func_def_156,type,
sK90: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_157,type,
sK91: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(func_def_158,type,
sK92: ( set_Secrecy_specID > set_Secrecy_chanID ) > set_Secrecy_specID ).
thf(f1,axiom,
correctCompositionIn @ pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(f2,axiom,
exprChannel @ ch @ m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms_I4_J) ).
thf(f3,axiom,
member1967978193chanID @ ch @ ( ins @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_assms_I3_J) ).
thf(f4,axiom,
! [X0: secrecy_chanID] :
( ( member1967978193chanID @ X0 @ ( ins @ pq ) )
=> ~ ( exprChannel @ X0 @ m ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_assms_I5_J) ).
thf(f5,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_assms_I1_J) ).
thf(f7,axiom,
! [X0: secrecy_specID,X3: secrecy_chanID,X2: secrecy_specID,X1: secrecy_specID] :
( ( ( subcomponents @ X0 )
= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X0 )
=> ( ~ ( member1967978193chanID @ X3 @ ( loc @ X0 ) )
=> ( ( member1967978193chanID @ X3 @ ( ins @ X1 ) )
=> ( member1967978193chanID @ X3 @ ( ins @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_correctCompositionIn__L1) ).
thf(f356,conjecture,
member1967978193chanID @ ch @ ( loc @ pq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f402,plain,
! [X0: secrecy_specID,X1: secrecy_chanID,X2: secrecy_specID,X3: secrecy_specID] :
( ( ( subcomponents @ X0 )
= ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X0 )
=> ( ~ ( member1967978193chanID @ X1 @ ( loc @ X0 ) )
=> ( ( member1967978193chanID @ X1 @ ( ins @ X3 ) )
=> ( member1967978193chanID @ X1 @ ( ins @ X0 ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f403,plain,
! [X0: secrecy_specID,X1: secrecy_chanID,X2: secrecy_specID,X3: secrecy_specID] :
( ( ( subcomponents @ X0 )
= ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
=> ( ( ( correctCompositionIn @ X0 )
= $true )
=> ( ( $true
!= ( member1967978193chanID @ X1 @ ( loc @ X0 ) ) )
=> ( ( $true
= ( member1967978193chanID @ X1 @ ( ins @ X3 ) ) )
=> ( ( member1967978193chanID @ X1 @ ( ins @ X0 ) )
= $true ) ) ) ) ),
inference(fool_elimination,[],[f402]) ).
thf(f515,plain,
member1967978193chanID @ ch @ ( ins @ p ),
inference(rectify,[],[f3]) ).
thf(f516,plain,
( ( member1967978193chanID @ ch @ ( ins @ p ) )
= $true ),
inference(fool_elimination,[],[f515]) ).
thf(f576,plain,
correctCompositionIn @ pq,
inference(rectify,[],[f1]) ).
thf(f577,plain,
( ( correctCompositionIn @ pq )
= $true ),
inference(fool_elimination,[],[f576]) ).
thf(f834,plain,
! [X0: secrecy_chanID] :
( ( member1967978193chanID @ X0 @ ( ins @ pq ) )
=> ~ ( exprChannel @ X0 @ m ) ),
inference(rectify,[],[f4]) ).
thf(f835,plain,
! [X0: secrecy_chanID] :
( ( ( member1967978193chanID @ X0 @ ( ins @ pq ) )
= $true )
=> ( ( exprChannel @ X0 @ m )
!= $true ) ),
inference(fool_elimination,[],[f834]) ).
thf(f854,plain,
exprChannel @ ch @ m,
inference(rectify,[],[f2]) ).
thf(f855,plain,
( ( exprChannel @ ch @ m )
= $true ),
inference(fool_elimination,[],[f854]) ).
thf(f887,plain,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(rectify,[],[f357]) ).
thf(f888,plain,
( ( member1967978193chanID @ ch @ ( loc @ pq ) )
!= $true ),
inference(fool_elimination,[],[f887]) ).
thf(f958,plain,
! [X0: secrecy_specID,X2: secrecy_specID,X1: secrecy_chanID,X3: secrecy_specID] :
( ( ( subcomponents @ X0 )
= ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
=> ( ( ( correctCompositionIn @ X0 )
= $true )
=> ( ( $true
!= ( member1967978193chanID @ X1 @ ( loc @ X0 ) ) )
=> ( ( $true
= ( member1967978193chanID @ X1 @ ( ins @ X3 ) ) )
=> ( ( member1967978193chanID @ X1 @ ( ins @ X0 ) )
= $true ) ) ) ) ),
inference(flattening,[],[f403]) ).
thf(f1019,plain,
! [X0: secrecy_chanID] :
( ( ( member1967978193chanID @ X0 @ ( ins @ pq ) )
= $true )
=> ( ( exprChannel @ X0 @ m )
!= $true ) ),
inference(flattening,[],[f835]) ).
thf(f1028,plain,
( ( member1967978193chanID @ ch @ ( loc @ pq ) )
!= $true ),
inference(flattening,[],[f888]) ).
thf(f1048,plain,
! [X0: secrecy_specID,X2: secrecy_specID,X1: secrecy_chanID,X3: secrecy_specID] :
( ( ( member1967978193chanID @ X1 @ ( ins @ X0 ) )
= $true )
| ( $true
!= ( member1967978193chanID @ X1 @ ( ins @ X3 ) ) )
| ( $true
= ( member1967978193chanID @ X1 @ ( loc @ X0 ) ) )
| ( ( correctCompositionIn @ X0 )
!= $true )
| ( ( subcomponents @ X0 )
!= ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) ) ),
inference(ennf_transformation,[],[f958]) ).
thf(f1049,plain,
! [X3: secrecy_specID,X0: secrecy_specID,X1: secrecy_chanID,X2: secrecy_specID] :
( ( $true
!= ( member1967978193chanID @ X1 @ ( ins @ X3 ) ) )
| ( ( correctCompositionIn @ X0 )
!= $true )
| ( ( member1967978193chanID @ X1 @ ( ins @ X0 ) )
= $true )
| ( ( subcomponents @ X0 )
!= ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
| ( $true
= ( member1967978193chanID @ X1 @ ( loc @ X0 ) ) ) ),
inference(flattening,[],[f1048]) ).
thf(f1157,plain,
! [X0: secrecy_chanID] :
( ( ( exprChannel @ X0 @ m )
!= $true )
| ( ( member1967978193chanID @ X0 @ ( ins @ pq ) )
!= $true ) ),
inference(ennf_transformation,[],[f1019]) ).
thf(f1587,plain,
! [X0: secrecy_specID,X1: secrecy_specID,X2: secrecy_chanID,X3: secrecy_specID] :
( ( ( member1967978193chanID @ X2 @ ( ins @ X0 ) )
!= $true )
| ( ( correctCompositionIn @ X1 )
!= $true )
| ( $true
= ( member1967978193chanID @ X2 @ ( ins @ X1 ) ) )
| ( ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X1 ) )
| ( $true
= ( member1967978193chanID @ X2 @ ( loc @ X1 ) ) ) ),
inference(rectify,[],[f1049]) ).
thf(f1720,plain,
! [X0: secrecy_chanID] :
( ( ( member1967978193chanID @ X0 @ ( ins @ pq ) )
!= $true )
| ( ( exprChannel @ X0 @ m )
!= $true ) ),
inference(cnf_transformation,[],[f1157]) ).
thf(f1874,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f1964,plain,
( ( correctCompositionIn @ pq )
= $true ),
inference(cnf_transformation,[],[f577]) ).
thf(f2120,plain,
! [X2: secrecy_chanID,X3: secrecy_specID,X0: secrecy_specID,X1: secrecy_specID] :
( ( ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X1 ) )
| ( $true
= ( member1967978193chanID @ X2 @ ( loc @ X1 ) ) )
| ( $true
= ( member1967978193chanID @ X2 @ ( ins @ X1 ) ) )
| ( ( correctCompositionIn @ X1 )
!= $true )
| ( ( member1967978193chanID @ X2 @ ( ins @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1587]) ).
thf(f2125,plain,
( ( exprChannel @ ch @ m )
= $true ),
inference(cnf_transformation,[],[f855]) ).
thf(f2208,plain,
( ( member1967978193chanID @ ch @ ( ins @ p ) )
= $true ),
inference(cnf_transformation,[],[f516]) ).
thf(f2243,plain,
( ( member1967978193chanID @ ch @ ( loc @ pq ) )
!= $true ),
inference(cnf_transformation,[],[f1028]) ).
thf(f2471,definition,
( spl93_6
<=> ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ),
introduced(definition,[new_symbols(definition,[spl93_6])],[avatar_definition]) ).
thf(f2473,plain,
( ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) )
| ~ spl93_6 ),
inference(avatar_component_clause,[],[f2471]) ).
thf(f2474,plain,
spl93_6,
inference(avatar_split_clause,[],[f1874,f2471]) ).
thf(f2496,definition,
( spl93_11
<=> ( ( exprChannel @ ch @ m )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_11])],[avatar_definition]) ).
thf(f2498,plain,
( ( ( exprChannel @ ch @ m )
= $true )
| ~ spl93_11 ),
inference(avatar_component_clause,[],[f2496]) ).
thf(f2499,plain,
spl93_11,
inference(avatar_split_clause,[],[f2125,f2496]) ).
thf(f2536,definition,
( spl93_19
<=> ( ( member1967978193chanID @ ch @ ( ins @ p ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_19])],[avatar_definition]) ).
thf(f2538,plain,
( ( ( member1967978193chanID @ ch @ ( ins @ p ) )
= $true )
| ~ spl93_19 ),
inference(avatar_component_clause,[],[f2536]) ).
thf(f2539,plain,
spl93_19,
inference(avatar_split_clause,[],[f2208,f2536]) ).
thf(f2556,definition,
( spl93_23
<=> ( ( member1967978193chanID @ ch @ ( loc @ pq ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_23])],[avatar_definition]) ).
thf(f2558,plain,
( ( ( member1967978193chanID @ ch @ ( loc @ pq ) )
!= $true )
| spl93_23 ),
inference(avatar_component_clause,[],[f2556]) ).
thf(f2559,plain,
~ spl93_23,
inference(avatar_split_clause,[],[f2243,f2556]) ).
thf(f2626,definition,
( spl93_37
<=> ( ( correctCompositionIn @ pq )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_37])],[avatar_definition]) ).
thf(f2628,plain,
( ( ( correctCompositionIn @ pq )
= $true )
| ~ spl93_37 ),
inference(avatar_component_clause,[],[f2626]) ).
thf(f2629,plain,
spl93_37,
inference(avatar_split_clause,[],[f1964,f2626]) ).
thf(f2665,plain,
( ! [X0: secrecy_specID,X1: secrecy_chanID] :
( ( $true
= ( member1967978193chanID @ X1 @ ( loc @ X0 ) ) )
| ( ( member1967978193chanID @ X1 @ ( ins @ X0 ) )
= $true )
| ( $true
!= ( member1967978193chanID @ X1 @ ( ins @ p ) ) )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( correctCompositionIn @ X0 )
!= $true ) )
| ~ spl93_6 ),
inference(superposition,[],[f2120,f2473]) ).
thf(f2781,plain,
( ( ( member1967978193chanID @ ch @ ( ins @ p ) )
!= $true )
| ( $true != $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ pq ) )
| ( ( correctCompositionIn @ pq )
!= $true )
| ( $true
= ( member1967978193chanID @ ch @ ( ins @ pq ) ) )
| ~ spl93_6
| spl93_23 ),
inference(superposition,[],[f2558,f2665]) ).
thf(f2805,plain,
( ( ( member1967978193chanID @ ch @ ( ins @ p ) )
!= $true )
| ( $true
= ( member1967978193chanID @ ch @ ( ins @ pq ) ) )
| ( ( correctCompositionIn @ pq )
!= $true )
| ~ spl93_6
| spl93_23 ),
inference(trivial_inequality_removal,[],[f2781]) ).
thf(f2814,plain,
( ( ( correctCompositionIn @ pq )
!= $true )
| ( $true
= ( member1967978193chanID @ ch @ ( ins @ pq ) ) )
| ~ spl93_6
| ~ spl93_19
| spl93_23 ),
inference(forward_subsumption_resolution,[],[f2805,f2538]) ).
thf(f2816,plain,
( ( $true
= ( member1967978193chanID @ ch @ ( ins @ pq ) ) )
| ~ spl93_6
| ~ spl93_19
| spl93_23
| ~ spl93_37 ),
inference(forward_subsumption_resolution,[],[f2814,f2628]) ).
thf(f2818,definition,
( spl93_50
<=> ( $true
= ( member1967978193chanID @ ch @ ( ins @ pq ) ) ) ),
introduced(definition,[new_symbols(definition,[spl93_50])],[avatar_definition]) ).
thf(f2820,plain,
( ( $true
= ( member1967978193chanID @ ch @ ( ins @ pq ) ) )
| ~ spl93_50 ),
inference(avatar_component_clause,[],[f2818]) ).
thf(f2821,plain,
( spl93_50
| ~ spl93_6
| ~ spl93_19
| spl93_23
| ~ spl93_37 ),
inference(avatar_split_clause,[],[f2816,f2626,f2556,f2536,f2471,f2818]) ).
thf(f2933,plain,
( ( $true != $true )
| ( ( exprChannel @ ch @ m )
!= $true )
| ~ spl93_50 ),
inference(superposition,[],[f1720,f2820]) ).
thf(f2934,plain,
( ( ( exprChannel @ ch @ m )
!= $true )
| ~ spl93_50 ),
inference(trivial_inequality_removal,[],[f2933]) ).
thf(f2935,plain,
( $false
| ~ spl93_11
| ~ spl93_50 ),
inference(forward_subsumption_resolution,[],[f2934,f2498]) ).
thf(f2936,plain,
( ~ spl93_11
| ~ spl93_50 ),
inference(avatar_contradiction_clause,[],[f2935]) ).
cnf(s6,plain,
spl93_6,
inference(sat_conversion,[],[f2474]) ).
cnf(s12,plain,
spl93_11,
inference(sat_conversion,[],[f2499]) ).
cnf(s25,plain,
spl93_19,
inference(sat_conversion,[],[f2539]) ).
cnf(s30,plain,
~ spl93_23,
inference(sat_conversion,[],[f2559]) ).
cnf(s51,plain,
spl93_37,
inference(sat_conversion,[],[f2629]) ).
cnf(s68,plain,
( ~ spl93_6
| ~ spl93_19
| spl93_23
| ~ spl93_37
| spl93_50 ),
inference(sat_conversion,[],[f2821]) ).
cnf(s71,plain,
( ~ spl93_11
| ~ spl93_50 ),
inference(sat_conversion,[],[f2936]) ).
cnf(s72,plain,
~ spl93_50,
inference(rat,[],[s71,s12]) ).
cnf(s73,plain,
~ spl93_6,
inference(rat,[],[s68,s25,s51,s30,s72]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s6,s73]) ).
thf(f2937,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP086^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n016.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 19:55:20 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 0.20/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.28/0.43 % (826898)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.28/0.43 % (826906)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=3929699268: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)
% 0.28/0.43 % (826904)lrs+10_16_si=on:nwc=1.5:random_seed=1151926912:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.28/0.43 % (826903)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3643602292:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.28/0.43 % (826905)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=231884659:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.28/0.43 % (826907)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1138886730:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.28/0.43 % (826905)Instruction limit reached!
% 0.28/0.43 % (826905)------------------------------
% 0.28/0.43 % (826905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826905)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826905)Termination reason: Instruction limit
% 0.28/0.43 % (826905)Termination phase: shuffling
% 0.28/0.43 % (826905)Time elapsed: 0.002 s
% 0.28/0.43 % (826905)Peak memory usage: 10 MB
% 0.28/0.43 % (826905)Instructions burned: 3 (million)
% 0.28/0.43 % (826904)Instruction limit reached!
% 0.28/0.43 % (826904)------------------------------
% 0.28/0.43 % (826904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826904)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826904)Termination reason: Instruction limit
% 0.28/0.43 % (826904)Termination phase: shuffling
% 0.28/0.43 % (826904)Time elapsed: 0.008 s
% 0.28/0.43 % (826904)Peak memory usage: 10 MB
% 0.28/0.43 % (826904)Instructions burned: 18 (million)
% 0.28/0.43 % (826909)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.28/0.43 % (826909)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
% 0.28/0.43 % (826907)Instruction limit reached!
% 0.28/0.43 % (826907)------------------------------
% 0.28/0.43 % (826907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826907)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826907)Termination reason: Instruction limit
% 0.28/0.43 % (826907)Termination phase: Property scanning
% 0.28/0.43 % (826907)Time elapsed: 0.012 s
% 0.28/0.43 % (826907)Peak memory usage: 10 MB
% 0.28/0.43 % (826907)Instructions burned: 26 (million)
% 0.28/0.43 % (826908)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=259146156:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.28/0.43 % (826909)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=691153929:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.28/0.43 % (826915)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3546225305:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.28/0.43 % (826915)Instruction limit reached!
% 0.28/0.43 % (826915)------------------------------
% 0.28/0.43 % (826915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826915)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826915)Termination reason: Instruction limit
% 0.28/0.43 % (826915)Termination phase: shuffling
% 0.28/0.43 % (826915)Time elapsed: 0.002 s
% 0.28/0.43 % (826915)Peak memory usage: 10 MB
% 0.28/0.43 % (826915)Instructions burned: 4 (million)
% 0.28/0.43 % (826917)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.43 % (826916)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2010937714:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.28/0.43 % (826917)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2638520227:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.28/0.43 % (826916)Instruction limit reached!
% 0.28/0.43 % (826916)------------------------------
% 0.28/0.43 % (826916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826916)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826916)Termination reason: Instruction limit
% 0.28/0.43 % (826916)Termination phase: shuffling
% 0.28/0.43 % (826916)Time elapsed: 0.003 s
% 0.28/0.43 % (826916)Peak memory usage: 10 MB
% 0.28/0.43 % (826916)Instructions burned: 5 (million)
% 0.28/0.43 % (826917)Instruction limit reached!
% 0.28/0.43 % (826917)------------------------------
% 0.28/0.43 % (826917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826917)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826917)Termination reason: Instruction limit
% 0.28/0.43 % (826917)Termination phase: shuffling
% 0.28/0.43 % (826917)Time elapsed: 0.004 s
% 0.28/0.43 % (826917)Peak memory usage: 10 MB
% 0.28/0.43 % (826917)Instructions burned: 8 (million)
% 0.28/0.43 % (826903)Instruction limit reached!
% 0.28/0.43 % (826903)------------------------------
% 0.28/0.43 % (826903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826903)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826903)Termination reason: Instruction limit
% 0.28/0.43 % (826903)Termination phase: Property scanning
% 0.28/0.43 % (826903)Time elapsed: 0.040 s
% 0.28/0.43 % (826903)Peak memory usage: 12 MB
% 0.28/0.43 % (826903)Instructions burned: 88 (million)
% 0.28/0.43 % (826921)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3825092290:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.28/0.43 % (826921)Instruction limit reached!
% 0.28/0.43 % (826921)------------------------------
% 0.28/0.43 % (826921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826921)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826921)Termination reason: Instruction limit
% 0.28/0.43 % (826921)Termination phase: shuffling
% 0.28/0.43 % (826921)Time elapsed: 0.006 s
% 0.28/0.43 % (826921)Peak memory usage: 10 MB
% 0.28/0.43 % (826921)Instructions burned: 13 (million)
% 0.28/0.43 % (826924)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
% 0.28/0.43 % (826924)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.43 % (826908)Instruction limit reached!
% 0.28/0.43 % (826908)------------------------------
% 0.28/0.43 % (826908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826908)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826908)Termination reason: Instruction limit
% 0.28/0.43 % (826908)Termination phase: Property scanning
% 0.28/0.43 % (826908)Time elapsed: 0.035 s
% 0.28/0.43 % (826908)Peak memory usage: 12 MB
% 0.28/0.43 % (826908)Instructions burned: 76 (million)
% 0.28/0.43 % (826906) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-826898-826906"...
% 0.28/0.43 % (826906)...printing done.
% 0.28/0.43 % (826924)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3111972298:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.28/0.43 % (826906)Refutation found. Thanks to Tanya!
% 0.28/0.43 % SZS status Theorem for theBenchmark
% 0.28/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.43 % (826906)------------------------------
% 0.28/0.43 % (826906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.43 % (826906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.43 % (826906)CaDiCaL version: 2.1.3
% 0.28/0.43 % (826906)Termination reason: Refutation
% 0.28/0.43 % (826906)Time elapsed: 0.061 s
% 0.28/0.43 % (826906)Peak memory usage: 15 MB
% 0.28/0.43 % (826906)Instructions burned: 228 (million)
% 0.28/0.43 % (826898)Success in time 0.113 s
% 0.28/0.43 % Vampire exiting
%------------------------------------------------------------------------------