%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG248^3 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 07:45:11 AM UTC 2026
% Result : Theorem 1.09s 0.46s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 104 ( 32 unt; 0 typ; 9 def)
% Number of atoms : 470 ( 123 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 588 ( 58 ~; 85 |; 0 &; 350 @)
% ( 11 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 269 ( 265 usr; 179 con; 0-4 aty)
% ( 50 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 115 ( 0 sgn 30 !; 0 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
term: $tType ).
thf(type_def_6,type,
subst: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
one: term ).
thf(func_def_1,type,
ap: term > term > term ).
thf(func_def_2,type,
lam: term > term ).
thf(func_def_3,type,
sub: term > subst > term ).
thf(func_def_4,type,
id: subst ).
thf(func_def_5,type,
sh: subst ).
thf(func_def_6,type,
push: term > subst > subst ).
thf(func_def_7,type,
comp: subst > subst > subst ).
thf(func_def_8,type,
var: term > $o ).
thf(func_def_9,type,
pushprop_lem1v2: $o ).
thf(func_def_10,type,
pushprop_lem1_gthm: $o ).
thf(func_def_11,type,
axmap: $o ).
thf(func_def_12,type,
pushprop_lem0_gthm: $o ).
thf(func_def_13,type,
shinj: $o ).
thf(func_def_14,type,
hoasinduction_lem1v2: $o ).
thf(func_def_15,type,
hoasinduction_lem1v2_gthm: $o ).
thf(func_def_16,type,
hoasap: subst > term > subst > term > term ).
thf(func_def_17,type,
induction2lem: $o ).
thf(func_def_18,type,
hoasinduction_lem3v2_f: $o ).
thf(func_def_19,type,
axvarshift: $o ).
thf(func_def_20,type,
hoasapinj2: $o ).
thf(func_def_21,type,
hoasapnotvar_gthm: $o ).
thf(func_def_22,type,
hoasapinj1: $o ).
thf(func_def_23,type,
ulamvar1: $o ).
thf(func_def_24,type,
induction2lem_lthm: $o ).
thf(func_def_25,type,
hoasinduction_lem3v2_gthm: $o ).
thf(func_def_26,type,
apnotvar: $o ).
thf(func_def_27,type,
pushprop_lthm_orig: $o ).
thf(func_def_28,type,
hoasinduction_lem3v2_f_lthm: $o ).
thf(func_def_29,type,
hoasinduction_lthm: $o ).
thf(func_def_30,type,
hoasinduction_no_psi_cond_lthm: $o ).
thf(func_def_31,type,
hoaslaminj: $o ).
thf(func_def_32,type,
hoasinduction_lem3aaa: $o ).
thf(func_def_33,type,
induction2lem_gthm: $o ).
thf(func_def_34,type,
hoasinduction_lem3aa_lthm: $o ).
thf(func_def_35,type,
hoasinduction_lem3: $o ).
thf(func_def_36,type,
hoasinduction_lem2: $o ).
thf(func_def_37,type,
termmset_lthm: $o ).
thf(func_def_38,type,
hoasinduction_lem1: $o ).
thf(func_def_39,type,
hoaslamnotap_lthm: $o ).
thf(func_def_40,type,
pushprop_lem1v2_lthm: $o ).
thf(func_def_41,type,
hoasapnotvar: $o ).
thf(func_def_42,type,
hoasinduction_lem0: $o ).
thf(func_def_43,type,
hoasinduction: $o ).
thf(func_def_44,type,
hoasinduction_gthm: $o ).
thf(func_def_45,type,
axapp: $o ).
thf(func_def_46,type,
hoaslamnotvar_lthm: $o ).
thf(func_def_47,type,
pushprop_lem3v2_lthm: $o ).
thf(func_def_48,type,
hoasinduction_lem3b_lthm: $o ).
thf(func_def_49,type,
ulamvarind: $o ).
thf(func_def_50,type,
induction: $o ).
thf(func_def_51,type,
hoasinduction_lem3a_lthm: $o ).
thf(func_def_52,type,
termmset_gthm: $o ).
thf(func_def_53,type,
hoasinduction_lem3aa: $o ).
thf(func_def_54,type,
pushprop_lem1v2_gthm: $o ).
thf(func_def_55,type,
hoaslamnotap_gthm: $o ).
thf(func_def_56,type,
hoaslamnotvar_gthm: $o ).
thf(func_def_57,type,
hoasinduction_lem3b_gthm: $o ).
thf(func_def_58,type,
pushprop_lem2v2: $o ).
thf(func_def_59,type,
hoasinduction_lem3a_gthm: $o ).
thf(func_def_60,type,
axclos: $o ).
thf(func_def_61,type,
axassoc: $o ).
thf(func_def_62,type,
hoasinduction_lem2v2: $o ).
thf(func_def_63,type,
pushprop_lthm: $o ).
thf(func_def_64,type,
apinj2: $o ).
thf(func_def_65,type,
apinj1: $o ).
thf(func_def_66,type,
hoasapinj2_lthm: $o ).
thf(func_def_67,type,
hoasinduction_lem3v2a: $o ).
thf(func_def_68,type,
hoasapinj1_lthm: $o ).
thf(func_def_69,type,
hoaslaminj_lthm: $o ).
thf(func_def_70,type,
axvarcons: $o ).
thf(func_def_71,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(func_def_72,type,
axscons: $o ).
thf(func_def_73,type,
hoasinduction_lem2v2_gthm: $o ).
thf(func_def_74,type,
axidr: $o ).
thf(func_def_75,type,
pushprop_lem1: $o ).
thf(func_def_76,type,
laminj: $o ).
thf(func_def_77,type,
hoasinduction_lem3_lthm: $o ).
thf(func_def_78,type,
pushprop_lem0: $o ).
thf(func_def_79,type,
pushprop_gthm: $o ).
thf(func_def_80,type,
axabs: $o ).
thf(func_def_81,type,
hoasinduction_lem3v2a_lthm: $o ).
thf(func_def_82,type,
hoasinduction_lem2_lthm: $o ).
thf(func_def_83,type,
hoasapinj2_gthm: $o ).
thf(func_def_84,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf(func_def_85,type,
hoasinduction_lem1_lthm: $o ).
thf(func_def_86,type,
lamnotap: $o ).
thf(func_def_87,type,
hoasapinj1_gthm: $o ).
thf(func_def_88,type,
hoaslamnotvar: $o ).
thf(func_def_89,type,
axidl: $o ).
thf(func_def_90,type,
hoaslaminj_gthm: $o ).
thf(func_def_91,type,
induction2_lthm: $o ).
thf(func_def_92,type,
hoasinduction_lem0_lthm: $o ).
thf(func_def_93,type,
substmonoid_lthm: $o ).
thf(func_def_94,type,
pushprop: $o ).
thf(func_def_95,type,
hoasinduction_lem3_gthm: $o ).
thf(func_def_96,type,
hoasinduction_lem2_gthm: $o ).
thf(func_def_97,type,
hoasinduction_lem3b: $o ).
thf(func_def_98,type,
substmonoid: $o ).
thf(func_def_99,type,
lamnotvar: $o ).
thf(func_def_100,type,
hoasinduction_lem3a: $o ).
thf(func_def_101,type,
hoasinduction_lem1_gthm: $o ).
thf(func_def_102,type,
hoasinduction_no_psi_cond: $o ).
thf(func_def_103,type,
induction2_gthm: $o ).
thf(func_def_104,type,
pushprop_lem2v2_lthm: $o ).
thf(func_def_105,type,
hoasvar: subst > term > subst > $o ).
thf(func_def_106,type,
hoaslamnotap: $o ).
thf(func_def_107,type,
substmonoid_gthm: $o ).
thf(func_def_108,type,
ulamvarsh: $o ).
thf(func_def_109,type,
induction2: $o ).
thf(func_def_110,type,
pushprop_lem3v2: $o ).
thf(func_def_111,type,
pushprop_lem2v2_gthm: $o ).
thf(func_def_112,type,
pushprop_lem1_lthm: $o ).
thf(func_def_113,type,
hoasinduction_lem3v2: $o ).
thf(func_def_114,type,
axshiftcons: $o ).
thf(func_def_115,type,
termmset: $o ).
thf(func_def_116,type,
pushprop_lem0_lthm: $o ).
thf(func_def_117,type,
hoasapnotvar_lthm: $o ).
thf(func_def_118,type,
hoasinduction_lem3v2_lthm: $o ).
thf(func_def_119,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(func_def_120,type,
axvarid: $o ).
thf(func_def_121,type,
hoasinduction_lthm_3: $o ).
thf(func_def_123,type,
vIMP: $o > $o > $o ).
thf(func_def_124,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_125,type,
vNOT: $o > $o ).
thf(func_def_126,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_130,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_135,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_136,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
vIFF: $o > $o > $o ).
thf(func_def_138,type,
vAND: $o > $o > $o ).
thf(func_def_139,type,
sK0: term ).
thf(func_def_140,type,
sK1: term ).
thf(func_def_141,type,
sK2: subst ).
thf(func_def_142,type,
sK3: term ).
thf(func_def_143,type,
sK4: ( term > $o ) > term ).
thf(func_def_144,type,
sK5: ( term > $o ) > term ).
thf(func_def_145,type,
sK6: ( term > $o ) > term ).
thf(func_def_146,type,
sK7: ( term > $o ) > subst > term ).
thf(func_def_147,type,
sK8: ( term > $o ) > subst > term ).
thf(func_def_148,type,
sK9: ( term > $o ) > subst > term ).
thf(func_def_149,type,
sK10: ( term > $o ) > term ).
thf(func_def_150,type,
sK11: subst > ( term > $o ) > term ).
thf(func_def_151,type,
sK12: subst > ( term > $o ) > term ).
thf(func_def_152,type,
sK13: subst > ( term > $o ) > term ).
thf(func_def_153,type,
sK14: term > $o ).
thf(func_def_154,type,
sK15: term > term ).
thf(func_def_155,type,
sK16: term ).
thf(func_def_156,type,
sK17: subst ).
thf(func_def_157,type,
sK18: ( subst > term > term ) > subst ).
thf(func_def_158,type,
sK19: ( subst > term > term ) > subst ).
thf(func_def_159,type,
sK20: ( subst > term > term ) > subst ).
thf(func_def_160,type,
sK21: ( subst > term > term ) > term ).
thf(func_def_161,type,
sK22: ( subst > term > term ) > term ).
thf(func_def_162,type,
sK23: ( subst > term > term ) > subst ).
thf(func_def_163,type,
sK24: subst > term > term ).
thf(func_def_164,type,
sK25: subst > term > term ).
thf(func_def_165,type,
sK26: subst ).
thf(func_def_166,type,
sK27: term ).
thf(func_def_167,type,
sK28: ( term > $o ) > term ).
thf(func_def_168,type,
sK29: ( term > $o ) > term ).
thf(func_def_169,type,
sK30: ( term > $o ) > term ).
thf(func_def_170,type,
sK31: ( term > $o ) > term ).
thf(func_def_171,type,
sK32: term > $o ).
thf(func_def_172,type,
sK33: term ).
thf(func_def_173,type,
sK34: term ).
thf(func_def_174,type,
sK35: subst ).
thf(func_def_175,type,
sK36: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_176,type,
sK37: ( subst > term > subst > $o ) > term > term ).
thf(func_def_177,type,
sK38: ( subst > term > subst > $o ) > term > term ).
thf(func_def_178,type,
sK39: ( subst > term > subst > $o ) > term > term ).
thf(func_def_179,type,
sK40: subst > term > subst > $o ).
thf(func_def_180,type,
sK41: ( subst > term > term ) > subst ).
thf(func_def_181,type,
sK42: ( subst > term > term ) > term ).
thf(func_def_182,type,
sK43: ( subst > term > term ) > term ).
thf(func_def_183,type,
sK44: ( subst > term > term ) > subst ).
thf(func_def_184,type,
sK45: ( subst > term > term ) > subst ).
thf(func_def_185,type,
sK46: term ).
thf(func_def_186,type,
sK47: ( term > $o ) > term ).
thf(func_def_187,type,
sK48: term > $o ).
thf(func_def_188,type,
sK49: term ).
thf(func_def_189,type,
sK50: term ).
thf(func_def_190,type,
sK51: ( term > $o ) > term ).
thf(func_def_191,type,
sK52: ( term > $o ) > term ).
thf(func_def_192,type,
sK53: ( term > $o ) > term ).
thf(func_def_193,type,
sK54: ( term > $o ) > term ).
thf(func_def_194,type,
sK55: ( term > $o ) > term ).
thf(func_def_195,type,
sK56: ( term > $o ) > term ).
thf(func_def_196,type,
sK57: ( term > $o ) > term ).
thf(func_def_197,type,
sK58: term > $o ).
thf(func_def_198,type,
sK59: term > term ).
thf(func_def_199,type,
sK60: term ).
thf(func_def_200,type,
sK61: subst > term > ( term > $o ) > term > $o ).
thf(func_def_201,type,
sK62: term ).
thf(func_def_202,type,
sK63: term > $o ).
thf(func_def_203,type,
sK64: subst ).
thf(func_def_204,type,
sK65: ( term > $o ) > term ).
thf(func_def_205,type,
sK66: term ).
thf(func_def_206,type,
sK67: term ).
thf(func_def_207,type,
sK68: subst ).
thf(func_def_208,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_209,type,
sK69: term > subst > ( term > $o ) > ( term > $o ) > term ).
thf(func_def_210,type,
sK70: subst > ( term > $o ) > term ).
thf(func_def_211,type,
sK71: term > $o ).
thf(func_def_212,type,
sK72: term ).
thf(func_def_213,type,
sK73: subst ).
thf(func_def_214,type,
sK74: term > $o ).
thf(func_def_215,type,
sK75: term ).
thf(func_def_216,type,
sK76: subst ).
thf(func_def_217,type,
sK77: ( term > $o ) > subst > term > ( term > $o ) > term ).
thf(func_def_218,type,
sK78: subst ).
thf(func_def_219,type,
sK79: term > $o ).
thf(func_def_220,type,
sK80: term > $o ).
thf(func_def_221,type,
sK81: term ).
thf(func_def_222,type,
sK82: subst ).
thf(func_def_223,type,
sK83: term ).
thf(func_def_224,type,
sK84: subst ).
thf(func_def_225,type,
sK85: subst ).
thf(func_def_226,type,
sK86: subst ).
thf(func_def_227,type,
sK87: subst ).
thf(func_def_228,type,
sK88: subst > ( term > $o ) > term ).
thf(func_def_229,type,
sK89: subst ).
thf(func_def_230,type,
sK90: term > $o ).
thf(func_def_231,type,
sK91: term ).
thf(func_def_232,type,
sK92: term ).
thf(func_def_233,type,
sK93: term ).
thf(func_def_234,type,
sK94: term ).
thf(func_def_235,type,
sK95: term ).
thf(func_def_236,type,
sK96: term ).
thf(func_def_237,type,
sK97: ( term > $o ) > term > ( term > $o ) > subst > term ).
thf(func_def_238,type,
sK98: ( term > $o ) > term ).
thf(func_def_239,type,
sK99: term ).
thf(func_def_240,type,
sK100: subst ).
thf(func_def_241,type,
sK101: term > $o ).
thf(func_def_242,type,
sK102: term > $o ).
thf(func_def_243,type,
sK103: term ).
thf(func_def_244,type,
sK104: subst ).
thf(func_def_245,type,
sK105: subst ).
thf(func_def_246,type,
sK106: term ).
thf(func_def_247,type,
sK107: term ).
thf(func_def_248,type,
sK108: subst ).
thf(func_def_249,type,
sK109: term ).
thf(func_def_250,type,
sK110: subst ).
thf(func_def_251,type,
sK111: term ).
thf(func_def_252,type,
sK112: term ).
thf(func_def_253,type,
sK113: term ).
thf(func_def_254,type,
sK114: term ).
thf(func_def_255,type,
sK115: term ).
thf(func_def_256,type,
sK116: subst ).
thf(func_def_257,type,
sK117: term ).
thf(f2,axiom,
( axvarcons
= ( ! [X0: term,X1: subst] :
( ( sub @ one @ ( push @ X0 @ X1 ) )
= X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarcons) ).
thf(f24,axiom,
( pushprop_p_and_p_prime
= ( ^ [X0: term,X1: subst,X2: term > $o,X3: term > $o] :
! [X4: term] :
( ( X3 @ X4 )
<=> ( X2 @ ( sub @ X4 @ ( push @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',pushprop_p_and_p_prime) ).
thf(f31,axiom,
! [X2: term,X0: term > $o,X1: term > $o,X3: subst] :
( ( ( X0 @ X2 )
=> ( ( pushprop_p_and_p_prime @ X2 @ X3 @ X0 @ X1 )
=> ( X1 @ one ) ) )
= pushprop_lem1v2 ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',pushprop_lem1v2) ).
thf(f33,axiom,
( ( pushprop_lem1v2_lthm = axvarcons )
=> pushprop_lem1v2 ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',pushprop_lem1v2_lthm) ).
thf(f114,conjecture,
pushprop_lem1v2_lthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ pushprop_lem1v2_lthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f120,plain,
~ pushprop_lem1v2_lthm,
inference(rectify,[],[f115]) ).
thf(f121,plain,
pushprop_lem1v2_lthm != $true,
inference(fool_elimination,[],[f120]) ).
thf(f191,plain,
( pushprop_p_and_p_prime
= ( ^ [X0: term,X1: subst,X2: term > $o,X3: term > $o] :
! [X4: term] :
( ( X3 @ X4 )
<=> ( X2 @ ( sub @ X4 @ ( push @ X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f24]) ).
thf(f192,plain,
( pushprop_p_and_p_prime
= ( ^ [Y0: term,Y1: subst,Y2: term > $o,Y3: term > $o] :
( !! @ term
@ ^ [Y4: term] :
( ( Y3 @ Y4 )
= ( Y2 @ ( sub @ Y4 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f191]) ).
thf(f226,plain,
! [X0: term,X1: term > $o,X2: term > $o,X3: subst] :
( ( ( X1 @ X0 )
=> ( ( pushprop_p_and_p_prime @ X0 @ X3 @ X1 @ X2 )
=> ( X2 @ one ) ) )
= pushprop_lem1v2 ),
inference(rectify,[],[f31]) ).
thf(f227,plain,
( pushprop_lem1v2
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ ( term > $o )
@ ^ [Y2: term > $o] :
( !! @ term
@ ^ [Y3: term] :
( ( Y2 @ Y3 )
=> ( ( pushprop_p_and_p_prime @ Y3 @ Y0 @ Y2 @ Y1 )
=> ( Y1 @ one ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f226]) ).
thf(f273,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f300,plain,
( ( pushprop_lem1v2_lthm = axvarcons )
=> pushprop_lem1v2 ),
inference(rectify,[],[f33]) ).
thf(f301,plain,
( pushprop_lem1v2_lthm
= ( axvarcons
=> pushprop_lem1v2 ) ),
inference(fool_elimination,[],[f300]) ).
thf(f320,plain,
pushprop_lem1v2_lthm != $true,
inference(flattening,[],[f121]) ).
thf(f321,plain,
( pushprop_lem1v2
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ ( term > $o )
@ ^ [Y2: term > $o] :
( !! @ term
@ ^ [Y3: term] :
( ( Y2 @ Y3 )
=> ( ( pushprop_p_and_p_prime @ Y3 @ Y0 @ Y2 @ Y1 )
=> ( Y1 @ one ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f227]) ).
thf(f324,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(cnf_transformation,[],[f273]) ).
thf(f336,plain,
( pushprop_lem1v2_lthm
= ( axvarcons
=> pushprop_lem1v2 ) ),
inference(cnf_transformation,[],[f301]) ).
thf(f347,plain,
( pushprop_p_and_p_prime
= ( ^ [Y0: term,Y1: subst,Y2: term > $o,Y3: term > $o] :
( !! @ term
@ ^ [Y4: term] :
( ( Y3 @ Y4 )
= ( Y2 @ ( sub @ Y4 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f192]) ).
thf(f348,plain,
pushprop_lem1v2_lthm != $true,
inference(cnf_transformation,[],[f320]) ).
thf(f357,plain,
( pushprop_lem1v2
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ ( term > $o )
@ ^ [Y2: term > $o] :
( !! @ term
@ ^ [Y3: term] :
( ( Y2 @ Y3 )
=> ( ( ^ [Y4: term,Y5: subst,Y6: term > $o,Y7: term > $o] :
( !! @ term
@ ^ [Y8: term] :
( ( Y7 @ Y8 )
= ( Y6 @ ( sub @ Y8 @ ( push @ Y4 @ Y5 ) ) ) ) )
@ Y3
@ Y0
@ Y2
@ Y1 )
=> ( Y1 @ one ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f321,f347]) ).
thf(f785,plain,
( ( pushprop_lem1v2_lthm = $true )
| ( $false
= ( axvarcons
=> pushprop_lem1v2 ) ) ),
inference(iff_proxy_clausification,[],[f336]) ).
thf(f788,plain,
( ( pushprop_lem1v2_lthm = $true )
| ( pushprop_lem1v2 = $false ) ),
inference(imp_proxy_clausification,[],[f785]) ).
thf(f789,plain,
( ( axvarcons = $true )
| ( pushprop_lem1v2_lthm = $true ) ),
inference(imp_proxy_clausification,[],[f785]) ).
thf(f895,plain,
( ( pushprop_lem1v2 = $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ ( term > $o )
@ ^ [Y2: term > $o] :
( !! @ term
@ ^ [Y3: term] :
( ( Y2 @ Y3 )
=> ( ( ^ [Y4: term,Y5: subst,Y6: term > $o,Y7: term > $o] :
( !! @ term
@ ^ [Y8: term] :
( ( Y7 @ Y8 )
= ( Y6 @ ( sub @ Y8 @ ( push @ Y4 @ Y5 ) ) ) ) )
@ Y3
@ Y0
@ Y2
@ Y1 )
=> ( Y1 @ one ) ) ) ) ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f357]) ).
thf(f912,plain,
( ( ( ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ ( term > $o )
@ ^ [Y2: term > $o] :
( !! @ term
@ ^ [Y3: term] :
( ( Y2 @ Y3 )
=> ( ( ^ [Y4: term,Y5: subst,Y6: term > $o,Y7: term > $o] :
( !! @ term
@ ^ [Y8: term] :
( ( Y7 @ Y8 )
= ( Y6 @ ( sub @ Y8 @ ( push @ Y4 @ Y5 ) ) ) ) )
@ Y3
@ Y0
@ Y2
@ Y1 )
=> ( Y1 @ one ) ) ) ) ) )
@ sK78 )
= $false )
| ( pushprop_lem1v2 = $true ) ),
inference(sigma_proxy_clausification,[],[f895]) ).
thf(f913,plain,
( ( pushprop_lem1v2 = $true )
| ( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
= ( Y1 @ ( sub @ Y3 @ ( push @ Y2 @ sK78 ) ) ) ) )
=> ( Y0 @ one ) ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f912]) ).
thf(f914,plain,
( ( pushprop_lem1v2 = $true )
| ( ( ^ [Y0: term > $o] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
= ( Y1 @ ( sub @ Y3 @ ( push @ Y2 @ sK78 ) ) ) ) )
=> ( Y0 @ one ) ) ) ) )
@ sK79 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f913]) ).
thf(f915,plain,
( ( $false
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( ( Y0 @ Y1 )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( sK79 @ Y2 )
= ( Y0 @ ( sub @ Y2 @ ( push @ Y1 @ sK78 ) ) ) ) )
=> ( sK79 @ one ) ) ) ) ) )
| ( pushprop_lem1v2 = $true ) ),
inference(beta-eta_normalization,[],[f914]) ).
thf(f916,plain,
( ( pushprop_lem1v2 = $true )
| ( ( ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( ( Y0 @ Y1 )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( sK79 @ Y2 )
= ( Y0 @ ( sub @ Y2 @ ( push @ Y1 @ sK78 ) ) ) ) )
=> ( sK79 @ one ) ) ) )
@ sK80 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f915]) ).
thf(f917,plain,
( ( pushprop_lem1v2 = $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( sK80 @ Y0 )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK79 @ Y1 )
= ( sK80 @ ( sub @ Y1 @ ( push @ Y0 @ sK78 ) ) ) ) )
=> ( sK79 @ one ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f916]) ).
thf(f918,plain,
( ( ( ^ [Y0: term] :
( ( sK80 @ Y0 )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK79 @ Y1 )
= ( sK80 @ ( sub @ Y1 @ ( push @ Y0 @ sK78 ) ) ) ) )
=> ( sK79 @ one ) ) )
@ sK81 )
= $false )
| ( pushprop_lem1v2 = $true ) ),
inference(sigma_proxy_clausification,[],[f917]) ).
thf(f919,plain,
( ( pushprop_lem1v2 = $true )
| ( $false
= ( ( sK80 @ sK81 )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( sK79 @ Y0 )
= ( sK80 @ ( sub @ Y0 @ ( push @ sK81 @ sK78 ) ) ) ) )
=> ( sK79 @ one ) ) ) ) ),
inference(beta-eta_normalization,[],[f918]) ).
thf(f920,plain,
( ( $false
= ( ( !! @ term
@ ^ [Y0: term] :
( ( sK79 @ Y0 )
= ( sK80 @ ( sub @ Y0 @ ( push @ sK81 @ sK78 ) ) ) ) )
=> ( sK79 @ one ) ) )
| ( pushprop_lem1v2 = $true ) ),
inference(imp_proxy_clausification,[],[f919]) ).
thf(f921,plain,
( ( $true
= ( sK80 @ sK81 ) )
| ( pushprop_lem1v2 = $true ) ),
inference(imp_proxy_clausification,[],[f919]) ).
thf(f922,plain,
( ( $false
= ( sK79 @ one ) )
| ( pushprop_lem1v2 = $true ) ),
inference(imp_proxy_clausification,[],[f920]) ).
thf(f923,plain,
( ( pushprop_lem1v2 = $true )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( sK79 @ Y0 )
= ( sK80 @ ( sub @ Y0 @ ( push @ sK81 @ sK78 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f920]) ).
thf(f924,plain,
! [X1: term] :
( ( $true
= ( ^ [Y0: term] :
( ( sK79 @ Y0 )
= ( sK80 @ ( sub @ Y0 @ ( push @ sK81 @ sK78 ) ) ) )
@ X1 ) )
| ( pushprop_lem1v2 = $true ) ),
inference(pi_proxy_clausification,[],[f923]) ).
thf(f925,plain,
! [X1: term] :
( ( pushprop_lem1v2 = $true )
| ( ( ( sK79 @ X1 )
= ( sK80 @ ( sub @ X1 @ ( push @ sK81 @ sK78 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f924]) ).
thf(f926,plain,
! [X1: term] :
( ( ( sK79 @ X1 )
= ( sK80 @ ( sub @ X1 @ ( push @ sK81 @ sK78 ) ) ) )
| ( pushprop_lem1v2 = $true ) ),
inference(iff_proxy_clausification,[],[f925]) ).
thf(f927,plain,
! [X1: term] :
( ( $false
= ( sK80 @ ( sub @ X1 @ ( push @ sK81 @ sK78 ) ) ) )
| ( pushprop_lem1v2 = $true )
| ( $true
= ( sK79 @ X1 ) ) ),
inference(iff_proxy_clausification,[],[f926]) ).
thf(f1223,plain,
( ( axvarcons = $false )
| ( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ) ),
inference(iff_proxy_clausification,[],[f324]) ).
thf(f1224,plain,
! [X1: subst] :
( ( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) )
@ X1 ) )
| ( axvarcons = $false ) ),
inference(pi_proxy_clausification,[],[f1223]) ).
thf(f1225,plain,
! [X1: subst] :
( ( axvarcons = $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1224]) ).
thf(f1226,plain,
! [X2: term,X1: subst] :
( ( $true
= ( ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 )
@ X2 ) )
| ( axvarcons = $false ) ),
inference(pi_proxy_clausification,[],[f1225]) ).
thf(f1227,plain,
! [X2: term,X1: subst] :
( ( ( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 )
= $true )
| ( axvarcons = $false ) ),
inference(beta-eta_normalization,[],[f1226]) ).
thf(f1228,plain,
! [X2: term,X1: subst] :
( ( axvarcons = $false )
| ( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ) ),
inference(equality_proxy_clausification,[],[f1227]) ).
thf(f1690,definition,
( spl118_110
<=> ( axvarcons = $false ) ),
introduced(definition,[new_symbols(definition,[spl118_110])],[avatar_definition]) ).
thf(f1692,plain,
( ( axvarcons = $false )
| ~ spl118_110 ),
inference(avatar_component_clause,[],[f1690]) ).
thf(f1698,definition,
( spl118_112
<=> ( pushprop_lem1v2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl118_112])],[avatar_definition]) ).
thf(f1700,plain,
( ( pushprop_lem1v2 = $true )
| ~ spl118_112 ),
inference(avatar_component_clause,[],[f1698]) ).
thf(f1703,definition,
( spl118_113
<=> ( axvarcons = $true ) ),
introduced(definition,[new_symbols(definition,[spl118_113])],[avatar_definition]) ).
thf(f1705,plain,
( ( axvarcons = $true )
| ~ spl118_113 ),
inference(avatar_component_clause,[],[f1703]) ).
thf(f1707,definition,
( spl118_114
<=> ( pushprop_lem1v2_lthm = $true ) ),
introduced(definition,[new_symbols(definition,[spl118_114])],[avatar_definition]) ).
thf(f1710,plain,
( spl118_113
| spl118_114 ),
inference(avatar_split_clause,[],[f789,f1707,f1703]) ).
thf(f1712,definition,
( spl118_115
<=> ( pushprop_lem1v2 = $false ) ),
introduced(definition,[new_symbols(definition,[spl118_115])],[avatar_definition]) ).
thf(f1714,plain,
( ( pushprop_lem1v2 = $false )
| ~ spl118_115 ),
inference(avatar_component_clause,[],[f1712]) ).
thf(f1715,plain,
( spl118_114
| spl118_115 ),
inference(avatar_split_clause,[],[f788,f1712,f1707]) ).
thf(f1834,definition,
( spl118_144
<=> ( $true
= ( sK80 @ sK81 ) ) ),
introduced(definition,[new_symbols(definition,[spl118_144])],[avatar_definition]) ).
thf(f1836,plain,
( ( $true
= ( sK80 @ sK81 ) )
| ~ spl118_144 ),
inference(avatar_component_clause,[],[f1834]) ).
thf(f1837,plain,
( spl118_112
| spl118_144 ),
inference(avatar_split_clause,[],[f921,f1834,f1698]) ).
thf(f1843,definition,
( spl118_146
<=> ! [X1: term] :
( ( $false
= ( sK80 @ ( sub @ X1 @ ( push @ sK81 @ sK78 ) ) ) )
| ( $true
= ( sK79 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl118_146])],[avatar_definition]) ).
thf(f1844,plain,
( ! [X1: term] :
( ( $false
= ( sK80 @ ( sub @ X1 @ ( push @ sK81 @ sK78 ) ) ) )
| ( $true
= ( sK79 @ X1 ) ) )
| ~ spl118_146 ),
inference(avatar_component_clause,[],[f1843]) ).
thf(f1845,plain,
( spl118_146
| spl118_112 ),
inference(avatar_split_clause,[],[f927,f1698,f1843]) ).
thf(f1847,definition,
( spl118_147
<=> ( $false
= ( sK79 @ one ) ) ),
introduced(definition,[new_symbols(definition,[spl118_147])],[avatar_definition]) ).
thf(f1849,plain,
( ( $false
= ( sK79 @ one ) )
| ~ spl118_147 ),
inference(avatar_component_clause,[],[f1847]) ).
thf(f1850,plain,
( spl118_147
| spl118_112 ),
inference(avatar_split_clause,[],[f922,f1698,f1847]) ).
thf(f1885,plain,
~ spl118_114,
inference(avatar_split_clause,[],[f348,f1707]) ).
thf(f2159,definition,
( spl118_214
<=> ! [X2: term,X1: subst] :
( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ) ),
introduced(definition,[new_symbols(definition,[spl118_214])],[avatar_definition]) ).
thf(f2160,plain,
( ! [X2: term,X1: subst] :
( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 )
| ~ spl118_214 ),
inference(avatar_component_clause,[],[f2159]) ).
thf(f2161,plain,
( spl118_214
| spl118_110 ),
inference(avatar_split_clause,[],[f1228,f1690,f2159]) ).
thf(f2167,plain,
( ( $true = $false )
| ~ spl118_110
| ~ spl118_113 ),
inference(forward_demodulation,[],[f1705,f1692]) ).
thf(f2168,plain,
( $false
| ~ spl118_110
| ~ spl118_113 ),
inference(trivial_inequality_removal,[],[f2167]) ).
thf(f2169,plain,
( ~ spl118_110
| ~ spl118_113 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
thf(f2171,plain,
( ( $true = $false )
| ~ spl118_112
| ~ spl118_115 ),
inference(superposition,[],[f1714,f1700]) ).
thf(f2175,plain,
( $false
| ~ spl118_112
| ~ spl118_115 ),
inference(trivial_inequality_removal,[],[f2171]) ).
thf(f2176,plain,
( ~ spl118_112
| ~ spl118_115 ),
inference(avatar_contradiction_clause,[],[f2175]) ).
thf(f2333,plain,
( ( $true
= ( sK79 @ one ) )
| ( $false
= ( sK80 @ sK81 ) )
| ~ spl118_146
| ~ spl118_214 ),
inference(superposition,[],[f1844,f2160]) ).
thf(f2338,plain,
( ( $false
= ( sK80 @ sK81 ) )
| ( $true = $false )
| ~ spl118_146
| ~ spl118_147
| ~ spl118_214 ),
inference(forward_demodulation,[],[f2333,f1849]) ).
thf(f2339,plain,
( ( $false
= ( sK80 @ sK81 ) )
| ~ spl118_146
| ~ spl118_147
| ~ spl118_214 ),
inference(trivial_inequality_removal,[],[f2338]) ).
thf(f2507,plain,
( ( $true = $false )
| ~ spl118_144
| ~ spl118_146
| ~ spl118_147
| ~ spl118_214 ),
inference(superposition,[],[f1836,f2339]) ).
thf(f2510,plain,
( $false
| ~ spl118_144
| ~ spl118_146
| ~ spl118_147
| ~ spl118_214 ),
inference(trivial_inequality_removal,[],[f2507]) ).
thf(f2511,plain,
( ~ spl118_144
| ~ spl118_146
| ~ spl118_147
| ~ spl118_214 ),
inference(avatar_contradiction_clause,[],[f2510]) ).
cnf(s88,plain,
( spl118_113
| spl118_114 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s89,plain,
( spl118_114
| spl118_115 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s110,plain,
( spl118_112
| spl118_144 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s112,plain,
( spl118_112
| spl118_146 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s113,plain,
( spl118_112
| spl118_147 ),
inference(sat_conversion,[],[f1850]) ).
cnf(s118,plain,
~ spl118_114,
inference(sat_conversion,[],[f1885]) ).
cnf(s176,plain,
( spl118_110
| spl118_214 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s178,plain,
( ~ spl118_110
| ~ spl118_113 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s180,plain,
( ~ spl118_112
| ~ spl118_115 ),
inference(sat_conversion,[],[f2176]) ).
cnf(s215,plain,
( ~ spl118_144
| ~ spl118_146
| ~ spl118_147
| ~ spl118_214 ),
inference(sat_conversion,[],[f2511]) ).
cnf(s216,plain,
spl118_115,
inference(rat,[],[s89,s118]) ).
cnf(s217,plain,
~ spl118_112,
inference(rat,[],[s180,s216]) ).
cnf(s218,plain,
spl118_147,
inference(rat,[],[s113,s217]) ).
cnf(s219,plain,
spl118_146,
inference(rat,[],[s112,s217]) ).
cnf(s221,plain,
spl118_144,
inference(rat,[],[s110,s217]) ).
cnf(s222,plain,
~ spl118_214,
inference(rat,[],[s215,s219,s218,s221]) ).
cnf(s223,plain,
spl118_110,
inference(rat,[],[s176,s222]) ).
cnf(s224,plain,
~ spl118_113,
inference(rat,[],[s178,s223]) ).
cnf(s227,plain,
$false,
inference(rat,[],[s88,s118,s224]) ).
thf(f2512,plain,
$false,
inference(avatar_sat_refutation,[],[s227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG248^3 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:33:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.26 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
% 0.61/0.39 % (2812301)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.39 % (2812306)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1562317342:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.39 % (2812312)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.39 % (2812312)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
% 0.61/0.39 % (2812307)lrs+10_16_si=on:nwc=1.5:random_seed=1376418950:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.39 % (2812308)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2367777702:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.39 % (2812309)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=2282188597: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)
% 0.61/0.39 % (2812310)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3585067949:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.39 % (2812311)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1539861259:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.39 % (2812312)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=1854258833:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.39 % (2812308)Instruction limit reached!
% 0.61/0.39 % (2812308)------------------------------
% 0.61/0.39 % (2812308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (2812308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (2812308)CaDiCaL version: 2.1.3
% 0.61/0.39 % (2812308)Termination reason: Instruction limit
% 0.61/0.39 % (2812308)Termination phase: shuffling
% 0.61/0.39 % (2812308)Time elapsed: 0.002 s
% 0.61/0.39 % (2812308)Peak memory usage: 10 MB
% 0.61/0.39 % (2812308)Instructions burned: 3 (million)
% 0.61/0.39 % (2812307)Instruction limit reached!
% 0.61/0.39 % (2812307)------------------------------
% 0.61/0.39 % (2812307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (2812307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (2812307)CaDiCaL version: 2.1.3
% 0.61/0.39 % (2812307)Termination reason: Instruction limit
% 0.61/0.39 % (2812307)Termination phase: shuffling
% 0.61/0.39 % (2812307)Time elapsed: 0.008 s
% 0.61/0.39 % (2812307)Peak memory usage: 10 MB
% 0.61/0.39 % (2812307)Instructions burned: 18 (million)
% 0.61/0.39 % (2812310)Instruction limit reached!
% 0.61/0.39 % (2812310)------------------------------
% 0.61/0.39 % (2812310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (2812310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (2812310)CaDiCaL version: 2.1.3
% 0.61/0.39 % (2812310)Termination reason: Instruction limit
% 0.61/0.39 % (2812310)Termination phase: Naming
% 0.61/0.39 % (2812310)Time elapsed: 0.012 s
% 0.61/0.39 % (2812310)Peak memory usage: 11 MB
% 0.61/0.39 % (2812310)Instructions burned: 24 (million)
% 0.61/0.39 % (2812306)Instruction limit reached!
% 0.61/0.39 % (2812306)------------------------------
% 0.61/0.39 % (2812306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (2812306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (2812306)CaDiCaL version: 2.1.3
% 0.61/0.39 % (2812306)Termination reason: Instruction limit
% 0.61/0.39 % (2812306)Termination phase: Function definition elimination
% 0.61/0.39 % (2812306)Time elapsed: 0.021 s
% 0.61/0.39 % (2812306)Peak memory usage: 12 MB
% 0.61/0.39 % (2812306)Instructions burned: 89 (million)
% 0.61/0.39 % (2812320)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1215647781:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.39 % (2812323)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3114622380:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.41 % (2812320)Instruction limit reached!
% 0.61/0.41 % (2812320)------------------------------
% 0.61/0.41 % (2812320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2812320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2812320)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2812320)Termination reason: Instruction limit
% 0.61/0.41 % (2812320)Termination phase: shuffling
% 0.61/0.41 % (2812320)Time elapsed: 0.003 s
% 0.61/0.41 % (2812320)Peak memory usage: 10 MB
% 0.61/0.41 % (2812320)Instructions burned: 5 (million)
% 0.61/0.41 % (2812323)Instruction limit reached!
% 0.61/0.41 % (2812323)------------------------------
% 0.61/0.41 % (2812323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2812323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2812323)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2812323)Termination reason: Instruction limit
% 0.61/0.41 % (2812323)Termination phase: shuffling
% 0.61/0.41 % (2812323)Time elapsed: 0.004 s
% 0.61/0.41 % (2812323)Peak memory usage: 10 MB
% 0.61/0.41 % (2812323)Instructions burned: 15 (million)
% 0.61/0.41 % (2812322)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.41 % (2812321)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1242194294:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.41 % (2812322)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4091967214:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.41 % (2812321)Instruction limit reached!
% 0.61/0.41 % (2812321)------------------------------
% 0.61/0.41 % (2812321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2812321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2812321)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2812321)Termination reason: Instruction limit
% 0.61/0.41 % (2812321)Termination phase: shuffling
% 0.61/0.41 % (2812321)Time elapsed: 0.003 s
% 0.61/0.41 % (2812321)Peak memory usage: 10 MB
% 0.61/0.41 % (2812321)Instructions burned: 6 (million)
% 0.61/0.41 % (2812311)Instruction limit reached!
% 0.61/0.41 % (2812311)------------------------------
% 0.61/0.41 % (2812311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2812311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2812311)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2812311)Termination reason: Instruction limit
% 0.61/0.41 % (2812311)Termination phase: Property scanning
% 0.61/0.41 % (2812311)Time elapsed: 0.035 s
% 0.61/0.41 % (2812311)Peak memory usage: 12 MB
% 0.61/0.41 % (2812311)Instructions burned: 77 (million)
% 0.61/0.41 % (2812322)Instruction limit reached!
% 0.61/0.41 % (2812322)------------------------------
% 0.61/0.41 % (2812322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.41 % (2812322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.41 % (2812322)CaDiCaL version: 2.1.3
% 0.61/0.41 % (2812322)Termination reason: Instruction limit
% 0.61/0.41 % (2812322)Termination phase: shuffling
% 0.61/0.41 % (2812322)Time elapsed: 0.005 s
% 0.61/0.41 % (2812322)Peak memory usage: 10 MB
% 0.61/0.41 % (2812322)Instructions burned: 9 (million)
% 0.61/0.41 % (2812327)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=1233727341:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.61/0.41 % (2812326)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
% 0.61/0.41 % (2812326)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.41 % (2812326)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3734580689:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.41 % (2812330)lrs+10_1_si=on:cs=on:random_seed=1857940451:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.41 % (2812331)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.61/0.44 % (2812326)Instruction limit reached!
% 0.61/0.44 % (2812326)------------------------------
% 0.61/0.44 % (2812326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.44 % (2812326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.44 % (2812326)CaDiCaL version: 2.1.3
% 0.61/0.44 % (2812326)Termination reason: Instruction limit
% 0.61/0.44 % (2812326)Termination phase: Property scanning
% 0.61/0.44 % (2812326)Time elapsed: 0.012 s
% 0.61/0.44 % (2812326)Peak memory usage: 10 MB
% 0.61/0.44 % (2812326)Instructions burned: 28 (million)
% 0.61/0.44 % (2812332)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3072302829:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.61/0.44 % (2812327)Instruction limit reached!
% 0.61/0.44 % (2812327)------------------------------
% 0.61/0.44 % (2812327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.44 % (2812327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.44 % (2812327)CaDiCaL version: 2.1.3
% 0.61/0.44 % (2812327)Termination reason: Instruction limit
% 0.61/0.44 % (2812327)Termination phase: Saturation
% 0.61/0.44 % (2812327)Time elapsed: 0.018 s
% 0.61/0.44 % (2812327)Peak memory usage: 12 MB
% 0.61/0.44 % (2812327)Instructions burned: 87 (million)
% 0.61/0.44 % (2812331)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=1639357854:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.44 % (2812330)Instruction limit reached!
% 0.61/0.44 % (2812330)------------------------------
% 0.61/0.44 % (2812330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.44 % (2812330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.44 % (2812330)CaDiCaL version: 2.1.3
% 0.61/0.44 % (2812330)Termination reason: Instruction limit
% 0.61/0.44 % (2812330)Termination phase: shuffling
% 0.61/0.44 % (2812330)Time elapsed: 0.004 s
% 0.61/0.44 % (2812330)Peak memory usage: 10 MB
% 0.61/0.44 % (2812330)Instructions burned: 9 (million)
% 0.61/0.44 % (2812331)Instruction limit reached!
% 0.61/0.44 % (2812331)------------------------------
% 0.61/0.44 % (2812331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.44 % (2812331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.44 % (2812331)CaDiCaL version: 2.1.3
% 0.61/0.44 % (2812331)Termination reason: Instruction limit
% 0.61/0.44 % (2812331)Termination phase: shuffling
% 0.61/0.44 % (2812331)Time elapsed: 0.002 s
% 0.61/0.44 % (2812331)Peak memory usage: 9 MB
% 0.61/0.44 % (2812331)Instructions burned: 4 (million)
% 0.61/0.44 % (2812312)Instruction limit reached!
% 0.61/0.44 % (2812312)------------------------------
% 0.61/0.44 % (2812312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.44 % (2812312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.44 % (2812312)CaDiCaL version: 2.1.3
% 0.61/0.44 % (2812312)Termination reason: Instruction limit
% 0.61/0.44 % (2812312)Termination phase: Saturation
% 0.61/0.44 % (2812312)Time elapsed: 0.068 s
% 0.61/0.44 % (2812312)Peak memory usage: 13 MB
% 0.61/0.44 % (2812312)Instructions burned: 159 (million)
% 0.61/0.44 % (2812340)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1230221828:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.61/0.44 % (2812340)Instruction limit reached!
% 0.61/0.44 % (2812340)------------------------------
% 0.61/0.44 % (2812340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.44 % (2812340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.44 % (2812340)CaDiCaL version: 2.1.3
% 0.61/0.44 % (2812340)Termination reason: Instruction limit
% 0.61/0.44 % (2812340)Termination phase: shuffling
% 0.61/0.44 % (2812340)Time elapsed: 0.004 s
% 0.61/0.44 % (2812340)Peak memory usage: 10 MB
% 0.61/0.44 % (2812340)Instructions burned: 17 (million)
% 0.61/0.44 % (2812337)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1698335700:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.61/0.44 % (2812332)Instruction limit reached!
% 0.61/0.44 % (2812332)------------------------------
% 1.09/0.46 % (2812332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812332)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812332)Termination reason: Instruction limit
% 1.09/0.46 % (2812332)Termination phase: Saturation
% 1.09/0.46 % (2812332)Time elapsed: 0.019 s
% 1.09/0.46 % (2812332)Peak memory usage: 12 MB
% 1.09/0.46 % (2812332)Instructions burned: 39 (million)
% 1.09/0.46 % (2812339)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3011697619:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.09/0.46 % (2812341)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3654966936:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.09/0.46 % (2812345)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=772976931: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)
% 1.09/0.46 % (2812342)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3290953771:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.46 % (2812345)Instruction limit reached!
% 1.09/0.46 % (2812345)------------------------------
% 1.09/0.46 % (2812345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812345)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812345)Termination reason: Instruction limit
% 1.09/0.46 % (2812345)Termination phase: shuffling
% 1.09/0.46 % (2812345)Time elapsed: 0.001 s
% 1.09/0.46 % (2812345)Peak memory usage: 10 MB
% 1.09/0.46 % (2812345)Instructions burned: 4 (million)
% 1.09/0.46 % (2812339)Instruction limit reached!
% 1.09/0.46 % (2812339)------------------------------
% 1.09/0.46 % (2812339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812339)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812339)Termination reason: Instruction limit
% 1.09/0.46 % (2812339)Termination phase: Preprocessing 1
% 1.09/0.46 % (2812339)Time elapsed: 0.011 s
% 1.09/0.46 % (2812339)Peak memory usage: 10 MB
% 1.09/0.46 % (2812339)Instructions burned: 25 (million)
% 1.09/0.46 % (2812342)Instruction limit reached!
% 1.09/0.46 % (2812342)------------------------------
% 1.09/0.46 % (2812342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812342)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812342)Termination reason: Instruction limit
% 1.09/0.46 % (2812342)Termination phase: shuffling
% 1.09/0.46 % (2812342)Time elapsed: 0.007 s
% 1.09/0.46 % (2812342)Peak memory usage: 10 MB
% 1.09/0.46 % (2812342)Instructions burned: 15 (million)
% 1.09/0.46 % (2812346)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1687174772:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.09/0.46 % (2812337)Refutation not found, incomplete strategy
% 1.09/0.46 % (2812337)------------------------------
% 1.09/0.46 % (2812337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812337)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812337)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.46 % (2812337)Time elapsed: 0.021 s
% 1.09/0.46 % (2812337)Peak memory usage: 13 MB
% 1.09/0.46 % (2812337)Instructions burned: 50 (million)
% 1.09/0.46 % (2812351)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3545038204:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.09/0.46 % (2812337)------------------------------
% 1.09/0.46 % (2812337)------------------------------
% 1.09/0.46 % (2812351)Instruction limit reached!
% 1.09/0.46 % (2812351)------------------------------
% 1.09/0.46 % (2812351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812351)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812351)Termination reason: Instruction limit
% 1.09/0.46 % (2812351)Termination phase: Property scanning
% 1.09/0.46 % (2812351)Time elapsed: 0.006 s
% 1.09/0.46 % (2812351)Peak memory usage: 10 MB
% 1.09/0.46 % (2812351)Instructions burned: 28 (million)
% 1.09/0.46 % (2812346)Instruction limit reached!
% 1.09/0.46 % (2812346)------------------------------
% 1.09/0.46 % (2812346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812346)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812346)Termination reason: Instruction limit
% 1.09/0.46 % (2812346)Termination phase: Property scanning
% 1.09/0.46 % (2812346)Time elapsed: 0.011 s
% 1.09/0.46 % (2812346)Peak memory usage: 10 MB
% 1.09/0.46 % (2812346)Instructions burned: 27 (million)
% 1.09/0.46 % (2812352)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2616022431:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.09/0.46 % (2812354)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
% 1.09/0.46 % (2812354)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.09/0.46 % (2812354)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=1233376407:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.46 % (2812356)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.09/0.46 % (2812357)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=1899769487:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.09/0.46 % (2812356)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=1729703414:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.09/0.46 % (2812354)Instruction limit reached!
% 1.09/0.46 % (2812354)------------------------------
% 1.09/0.46 % (2812354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812354)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812354)Termination reason: Instruction limit
% 1.09/0.46 % (2812354)Termination phase: shuffling
% 1.09/0.46 % (2812354)Time elapsed: 0.006 s
% 1.09/0.46 % (2812354)Peak memory usage: 10 MB
% 1.09/0.46 % (2812354)Instructions burned: 14 (million)
% 1.09/0.46 % (2812356)Instruction limit reached!
% 1.09/0.46 % (2812356)------------------------------
% 1.09/0.46 % (2812356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812356)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812356)Termination reason: Instruction limit
% 1.09/0.46 % (2812356)Termination phase: shuffling
% 1.09/0.46 % (2812356)Time elapsed: 0.004 s
% 1.09/0.46 % (2812356)Peak memory usage: 10 MB
% 1.09/0.46 % (2812356)Instructions burned: 9 (million)
% 1.09/0.46 % (2812358)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4143083718:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.09/0.46 % (2812357)Instruction limit reached!
% 1.09/0.46 % (2812357)------------------------------
% 1.09/0.46 % (2812357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812357)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812357)Termination reason: Instruction limit
% 1.09/0.46 % (2812357)Termination phase: Property scanning
% 1.09/0.46 % (2812357)Time elapsed: 0.011 s
% 1.09/0.46 % (2812357)Peak memory usage: 11 MB
% 1.09/0.46 % (2812357)Instructions burned: 52 (million)
% 1.09/0.46 % (2812358)Instruction limit reached!
% 1.09/0.46 % (2812358)------------------------------
% 1.09/0.46 % (2812358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812358)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812358)Termination reason: Instruction limit
% 1.09/0.46 % (2812358)Termination phase: shuffling
% 1.09/0.46 % (2812358)Time elapsed: 0.003 s
% 1.09/0.46 % (2812358)Peak memory usage: 10 MB
% 1.09/0.46 % (2812358)Instructions burned: 7 (million)
% 1.09/0.46 % (2812366)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3988806882:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.09/0.46 % (2812363)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2483469770:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.09/0.46 % (2812352)Instruction limit reached!
% 1.09/0.46 % (2812352)------------------------------
% 1.09/0.46 % (2812352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812352)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812352)Termination reason: Instruction limit
% 1.09/0.46 % (2812352)Termination phase: Property scanning
% 1.09/0.46 % (2812352)Time elapsed: 0.029 s
% 1.09/0.46 % (2812352)Peak memory usage: 12 MB
% 1.09/0.46 % (2812352)Instructions burned: 62 (million)
% 1.09/0.46 % (2812364)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1595902573:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.09/0.46 % (2812341) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2812301-2812341"...
% 1.09/0.46 % (2812363)Instruction limit reached!
% 1.09/0.46 % (2812363)------------------------------
% 1.09/0.46 % (2812363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812363)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812363)Termination reason: Instruction limit
% 1.09/0.46 % (2812363)Termination phase: Property scanning
% 1.09/0.46 % (2812363)Time elapsed: 0.010 s
% 1.09/0.46 % (2812363)Peak memory usage: 10 MB
% 1.09/0.46 % (2812363)Instructions burned: 23 (million)
% 1.09/0.46 % (2812364)Instruction limit reached!
% 1.09/0.46 % (2812364)------------------------------
% 1.09/0.46 % (2812364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.46 % (2812364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.46 % (2812364)CaDiCaL version: 2.1.3
% 1.09/0.46 % (2812364)Termination reason: Instruction limit
% 1.09/0.46 % (2812364)Termination phase: shuffling
% 1.09/0.46 % (2812364)Time elapsed: 0.009 s
% 1.09/0.46 % (2812364)Peak memory usage: 10 MB
% 1.09/0.46 % (2812364)Instructions burned: 20 (million)
% 1.09/0.46 % (2812341)...printing done.
% 1.09/0.46 % (2812341)Refutation found. Thanks to Tanya!
% 1.09/0.46 % SZS status Theorem for theBenchmark
% 1.09/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 1.09/0.47 % (2812341)------------------------------
% 1.09/0.47 % (2812341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.47 % (2812341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.47 % (2812341)CaDiCaL version: 2.1.3
% 1.09/0.47 % (2812341)Termination reason: Refutation
% 1.09/0.47 % (2812341)Time elapsed: 0.070 s
% 1.09/0.47 % (2812341)Peak memory usage: 15 MB
% 1.09/0.47 % (2812341)Instructions burned: 144 (million)
% 1.09/0.47 % (2812301)Success in time 0.194 s
% 1.09/0.47 % Vampire exiting
%------------------------------------------------------------------------------