%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP075^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:10:36 AM UTC 2026
% Result : Theorem 0.78s 0.38s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 21 unt; 0 typ; 5 def)
% Number of atoms : 342 ( 77 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 434 ( 38 ~; 58 |; 31 &; 280 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 166 ( 162 usr; 20 con; 0-4 aty)
% ( 0 !!; 22 ??; 0 @@+; 0 @@-)
% Number of variables : 122 ( 14 sgn 12 !; 5 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_HF_Mirabelle_hf: $tType ).
thf(type_def_6,type,
hF_Mirabelle_hf: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
int: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
minus_1668263787e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(func_def_1,type,
minus_minus_o: $o > $o > $o ).
thf(func_def_2,type,
minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_3,type,
minus_minus_int: int > int > int ).
thf(func_def_4,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_5,type,
minus_1450406810lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_6,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(func_def_7,type,
zero_zero_int: int ).
thf(func_def_8,type,
zero_zero_nat: nat ).
thf(func_def_9,type,
hF_Mirabelle_HBall: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > $o ).
thf(func_def_10,type,
hF_Mirabelle_HBex: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > $o ).
thf(func_def_11,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_12,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_13,type,
hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_14,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_15,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_16,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_17,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_18,type,
hF_Mirabelle_hcard: hF_Mirabelle_hf > nat ).
thf(func_def_19,type,
hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).
thf(func_def_20,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_21,type,
hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_22,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_23,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_24,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_25,type,
hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_26,type,
the_HF_Mirabelle_hf: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_27,type,
if_HF_Mirabelle_hf: $o > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_28,type,
inf_in307783154e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(func_def_29,type,
inf_inf_o: $o > $o > $o ).
thf(func_def_30,type,
inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_31,type,
inf_inf_int: int > int > int ).
thf(func_def_32,type,
inf_inf_nat: nat > nat > nat ).
thf(func_def_33,type,
inf_in923488851lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_34,type,
semiri2019852685at_int: nat > int ).
thf(func_def_35,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_36,type,
bot_bo1263054448e_hf_o: hF_Mirabelle_hf > $o ).
thf(func_def_37,type,
bot_bot_o: $o ).
thf(func_def_38,type,
bot_bo1001194783lle_hf: hF_Mirabelle_hf ).
thf(func_def_39,type,
bot_bot_nat: nat ).
thf(func_def_40,type,
bot_bo53200981lle_hf: set_HF_Mirabelle_hf ).
thf(func_def_41,type,
least_917110455lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_42,type,
ord_le616625840e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > $o ).
thf(func_def_43,type,
ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_44,type,
ord_less_int: int > int > $o ).
thf(func_def_45,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_46,type,
ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_47,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_48,type,
is_emp566801209lle_hf: set_HF_Mirabelle_hf > $o ).
thf(func_def_49,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_50,type,
a: hF_Mirabelle_hf ).
thf(func_def_51,type,
p: $o ).
thf(func_def_55,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_56,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_58,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_59,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_60,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_62,type,
vAND: $o > $o > $o ).
thf(func_def_63,type,
vOR: $o > $o > $o ).
thf(func_def_64,type,
vNOT: $o > $o ).
thf(func_def_65,type,
vIMP: $o > $o > $o ).
thf(func_def_66,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_67,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_68,type,
sK0: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_69,type,
sK1: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_70,type,
sK2: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_71,type,
sK3: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_72,type,
sK4: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_73,type,
sK5: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_74,type,
sK6: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_75,type,
sK7: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_76,type,
sK8: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_77,type,
sK9: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_78,type,
sK10: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_79,type,
sK11: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_80,type,
sK12: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_81,type,
sK13: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_82,type,
sK14: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_83,type,
sK15: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_84,type,
sK16: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_85,type,
sK17: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_86,type,
sK18: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_87,type,
sK19: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_88,type,
sK20: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_89,type,
sK21: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_90,type,
sK22: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_91,type,
sK23: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_92,type,
sK24: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_93,type,
sK25: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_94,type,
sK26: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_95,type,
sK27: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_96,type,
sK28: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_97,type,
sK29: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_98,type,
sK30: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_99,type,
sK31: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_100,type,
sK32: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_101,type,
sK33: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_102,type,
sK34: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_103,type,
sK35: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_104,type,
sK36: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_105,type,
sK37: ( nat > $o ) > nat ).
thf(func_def_106,type,
sK38: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_107,type,
sK39: int > nat ).
thf(func_def_108,type,
sK40: int > nat ).
thf(func_def_109,type,
sK41: int > nat ).
thf(func_def_110,type,
sK42: int > nat ).
thf(func_def_111,type,
sK43: hF_Mirabelle_hf ).
thf(func_def_112,type,
sK44: hF_Mirabelle_hf ).
thf(func_def_113,type,
sK45: hF_Mirabelle_hf ).
thf(func_def_114,type,
sK46: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_115,type,
sK47: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_116,type,
sK48: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_117,type,
sK49: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_118,type,
sK50: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_119,type,
sK51: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_120,type,
sK52: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_121,type,
sK53: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_122,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_123,type,
sK54: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_124,type,
sK55: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_125,type,
sK56: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_126,type,
sK57: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_127,type,
sK58: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_128,type,
sK59: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_129,type,
sK60: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_130,type,
sK61: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_131,type,
sK62: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_132,type,
sK63: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_133,type,
sK64: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_134,type,
sK65: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_135,type,
sK66: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_136,type,
sK67: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_137,type,
sK68: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_138,type,
sK69: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_139,type,
sK70: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_140,type,
sK71: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_141,type,
sK72: $o > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_142,type,
sK73: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_143,type,
sK74: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_144,type,
sK75: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_145,type,
sK76: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_146,type,
sK77: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_147,type,
sK78: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_148,type,
sK79: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_149,type,
sK80: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_150,type,
sK81: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_151,type,
sK82: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_152,type,
sK83: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_153,type,
sK84: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_154,type,
sK85: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_155,type,
sK86: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_156,type,
sK87: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_157,type,
sK88: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_158,type,
sK89: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(f6,axiom,
( hF_Mirabelle_HBex
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf > $o] :
? [X2: hF_Mirabelle_hf] :
( ( X1 @ X2 )
& ( hF_Mirabelle_hmem @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_HBex__def) ).
thf(f39,axiom,
( hF_Mirabelle_hmem
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_hmem__def) ).
thf(f355,conjecture,
( ( ( hF_Mirabelle_HBex @ a
@ ^ [X0: hF_Mirabelle_hf] : p )
= p )
& ? [X0: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X0 @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f356,negated_conjecture,
~ ( ( ( hF_Mirabelle_HBex @ a
@ ^ [X0: hF_Mirabelle_hf] : p )
= p )
& ? [X0: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X0 @ a ) ),
inference(negated_conjecture,[status(cth)],[f355]) ).
thf(f364,plain,
( hF_Mirabelle_HBex
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf > $o] :
? [X2: hF_Mirabelle_hf] :
( ( X1 @ X2 )
& ( hF_Mirabelle_hmem @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f365,plain,
( hF_Mirabelle_HBex
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f364]) ).
thf(f426,plain,
( hF_Mirabelle_hmem
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
inference(fool_elimination,[],[f39]) ).
thf(f708,plain,
~ ( ( ( hF_Mirabelle_HBex @ a
@ ^ [X0: hF_Mirabelle_hf] : p )
= p )
& ? [X1: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X1 @ a ) ),
inference(rectify,[],[f356]) ).
thf(f709,plain,
( ( hF_Mirabelle_HBex @ a
@ ^ [Y0: hF_Mirabelle_hf] : p )
!= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ Y0 @ a ) )
& p ) ),
inference(fool_elimination,[],[f708]) ).
thf(f748,plain,
( ( hF_Mirabelle_HBex @ a
@ ^ [Y0: hF_Mirabelle_hf] : p )
!= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ Y0 @ a ) )
& p ) ),
inference(flattening,[],[f709]) ).
thf(f914,plain,
( hF_Mirabelle_HBex
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
& ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f365]) ).
thf(f959,plain,
( hF_Mirabelle_hmem
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f426]) ).
thf(f1308,plain,
( ( hF_Mirabelle_HBex @ a
@ ^ [Y0: hF_Mirabelle_hf] : p )
!= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ Y0 @ a ) )
& p ) ),
inference(cnf_transformation,[],[f748]) ).
thf(f1314,plain,
( hF_Mirabelle_HBex
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) ) ) ),
inference(definition_unfolding,[],[f914,f959]) ).
thf(f1617,plain,
( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p )
!= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ^ [Y1: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y1 @ ( hF_Mirabelle_hfset @ Y2 ) )
@ Y0
@ a ) )
& p ) ),
inference(definition_unfolding,[],[f1308,f1314,f959]) ).
thf(f1641,plain,
( ( $true
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p ) )
| ( $true
= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ^ [Y1: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y1 @ ( hF_Mirabelle_hfset @ Y2 ) )
@ Y0
@ a ) )
& p ) ) ),
inference(xor_proxy_clausification,[],[f1617]) ).
thf(f1642,plain,
( ( $false
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p ) )
| ( $false
= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ^ [Y1: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y1 @ ( hF_Mirabelle_hfset @ Y2 ) )
@ Y0
@ a ) )
& p ) ) ),
inference(xor_proxy_clausification,[],[f1617]) ).
thf(f1643,plain,
( ( $false
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p ) )
| ( p = $false )
| ( $false
= ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ^ [Y1: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y1 @ ( hF_Mirabelle_hfset @ Y2 ) )
@ Y0
@ a ) ) ) ),
inference(and_proxy_clausification,[],[f1642]) ).
thf(f1644,plain,
! [X1: hF_Mirabelle_hf] :
( ( $false
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p ) )
| ( p = $false )
| ( $false
= ( ^ [Y0: hF_Mirabelle_hf] :
( ^ [Y1: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y1 @ ( hF_Mirabelle_hfset @ Y2 ) )
@ Y0
@ a )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f1643]) ).
thf(f1645,plain,
! [X1: hF_Mirabelle_hf] :
( ( $false
= ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
& p ) ) )
| ( p = $false )
| ( $false
= ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(beta-eta_normalization,[],[f1644]) ).
thf(f1646,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( $false
= ( ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
& p )
@ X2 ) )
| ( p = $false )
| ( $false
= ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(pi_proxy_clausification,[],[f1645]) ).
thf(f1647,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( $false
= ( ( member1367349282lle_hf @ X2 @ ( hF_Mirabelle_hfset @ a ) )
& p ) )
| ( p = $false )
| ( $false
= ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(beta-eta_normalization,[],[f1646]) ).
thf(f1648,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( p = $false )
| ( p = $false )
| ( $false
= ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ a ) ) )
| ( $false
= ( member1367349282lle_hf @ X2 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(and_proxy_clausification,[],[f1647]) ).
thf(f1649,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( p = $false )
| ( $false
= ( member1367349282lle_hf @ X1 @ ( hF_Mirabelle_hfset @ a ) ) )
| ( $false
= ( member1367349282lle_hf @ X2 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(duplicate_literal_removal,[],[f1648]) ).
thf(f1650,plain,
( ( $true
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p ) )
| ( p = $true ) ),
inference(and_proxy_clausification,[],[f1641]) ).
thf(f1651,plain,
( ( $true
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p ) )
| ( $true
= ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ^ [Y1: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y1 @ ( hF_Mirabelle_hfset @ Y2 ) )
@ Y0
@ a ) ) ) ),
inference(and_proxy_clausification,[],[f1641]) ).
thf(f1652,plain,
( ( $true
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf > $o] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
& ( Y1 @ Y2 ) ) )
@ a
@ ^ [Y0: hF_Mirabelle_hf] : p ) )
| ( $true
= ( ^ [Y0: hF_Mirabelle_hf] :
( ^ [Y1: hF_Mirabelle_hf,Y2: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y1 @ ( hF_Mirabelle_hfset @ Y2 ) )
@ Y0
@ a )
@ sK43 ) ) ),
inference(sigma_proxy_clausification,[],[f1651]) ).
thf(f1653,plain,
( ( $true
= ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
& p ) ) )
| ( $true
= ( member1367349282lle_hf @ sK43 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(beta-eta_normalization,[],[f1652]) ).
thf(f1654,plain,
( ( $true
= ( ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
& p )
@ sK44 ) )
| ( $true
= ( member1367349282lle_hf @ sK43 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(sigma_proxy_clausification,[],[f1653]) ).
thf(f1655,plain,
( ( $true
= ( ( member1367349282lle_hf @ sK44 @ ( hF_Mirabelle_hfset @ a ) )
& p ) )
| ( $true
= ( member1367349282lle_hf @ sK43 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(beta-eta_normalization,[],[f1654]) ).
thf(f1657,plain,
( ( $true
= ( member1367349282lle_hf @ sK44 @ ( hF_Mirabelle_hfset @ a ) ) )
| ( $true
= ( member1367349282lle_hf @ sK43 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
inference(and_proxy_clausification,[],[f1655]) ).
thf(f1658,plain,
( ( $true
= ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
& p ) ) )
| ( p = $true ) ),
inference(beta-eta_normalization,[],[f1650]) ).
thf(f1659,plain,
( ( $true
= ( ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
& p )
@ sK45 ) )
| ( p = $true ) ),
inference(sigma_proxy_clausification,[],[f1658]) ).
thf(f1660,plain,
( ( $true
= ( ( member1367349282lle_hf @ sK45 @ ( hF_Mirabelle_hfset @ a ) )
& p ) )
| ( p = $true ) ),
inference(beta-eta_normalization,[],[f1659]) ).
thf(f1661,plain,
( ( p = $true )
| ( p = $true ) ),
inference(and_proxy_clausification,[],[f1660]) ).
thf(f1663,plain,
p = $true,
inference(duplicate_literal_removal,[],[f1661]) ).
thf(f3206,definition,
( spl90_1
<=> ! [X2: hF_Mirabelle_hf] :
( $false
= ( member1367349282lle_hf @ X2 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
introduced(definition,[new_symbols(definition,[spl90_1])],[avatar_definition]) ).
thf(f3207,plain,
( ! [X2: hF_Mirabelle_hf] :
( $false
= ( member1367349282lle_hf @ X2 @ ( hF_Mirabelle_hfset @ a ) ) )
| ~ spl90_1 ),
inference(avatar_component_clause,[],[f3206]) ).
thf(f3209,definition,
( spl90_2
<=> ( p = $false ) ),
introduced(definition,[new_symbols(definition,[spl90_2])],[avatar_definition]) ).
thf(f3211,plain,
( ( p = $false )
| ~ spl90_2 ),
inference(avatar_component_clause,[],[f3209]) ).
thf(f3212,plain,
( spl90_1
| spl90_1
| spl90_2 ),
inference(avatar_split_clause,[],[f1649,f3209,f3206,f3206]) ).
thf(f3214,definition,
( spl90_3
<=> ( $true
= ( member1367349282lle_hf @ sK43 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
introduced(definition,[new_symbols(definition,[spl90_3])],[avatar_definition]) ).
thf(f3216,plain,
( ( $true
= ( member1367349282lle_hf @ sK43 @ ( hF_Mirabelle_hfset @ a ) ) )
| ~ spl90_3 ),
inference(avatar_component_clause,[],[f3214]) ).
thf(f3218,definition,
( spl90_4
<=> ( $true
= ( member1367349282lle_hf @ sK44 @ ( hF_Mirabelle_hfset @ a ) ) ) ),
introduced(definition,[new_symbols(definition,[spl90_4])],[avatar_definition]) ).
thf(f3220,plain,
( ( $true
= ( member1367349282lle_hf @ sK44 @ ( hF_Mirabelle_hfset @ a ) ) )
| ~ spl90_4 ),
inference(avatar_component_clause,[],[f3218]) ).
thf(f3221,plain,
( spl90_3
| spl90_4 ),
inference(avatar_split_clause,[],[f1657,f3218,f3214]) ).
thf(f3223,definition,
( spl90_5
<=> ( p = $true ) ),
introduced(definition,[new_symbols(definition,[spl90_5])],[avatar_definition]) ).
thf(f3225,plain,
( ( p = $true )
| ~ spl90_5 ),
inference(avatar_component_clause,[],[f3223]) ).
thf(f3232,plain,
spl90_5,
inference(avatar_split_clause,[],[f1663,f3223]) ).
thf(f3249,plain,
( ( $true = $false )
| ~ spl90_2
| ~ spl90_5 ),
inference(forward_demodulation,[],[f3225,f3211]) ).
thf(f3250,plain,
( $false
| ~ spl90_2
| ~ spl90_5 ),
inference(trivial_inequality_removal,[],[f3249]) ).
thf(f3251,plain,
( ~ spl90_2
| ~ spl90_5 ),
inference(avatar_contradiction_clause,[],[f3250]) ).
thf(f3254,plain,
( ( $true = $false )
| ~ spl90_1
| ~ spl90_3 ),
inference(forward_demodulation,[],[f3216,f3207]) ).
thf(f3255,plain,
( $false
| ~ spl90_1
| ~ spl90_3 ),
inference(trivial_inequality_removal,[],[f3254]) ).
thf(f3256,plain,
( ~ spl90_1
| ~ spl90_3 ),
inference(avatar_contradiction_clause,[],[f3255]) ).
thf(f3258,plain,
( ( $true = $false )
| ~ spl90_1
| ~ spl90_4 ),
inference(forward_demodulation,[],[f3220,f3207]) ).
thf(f3259,plain,
( $false
| ~ spl90_1
| ~ spl90_4 ),
inference(trivial_inequality_removal,[],[f3258]) ).
thf(f3260,plain,
( ~ spl90_1
| ~ spl90_4 ),
inference(avatar_contradiction_clause,[],[f3259]) ).
cnf(s1,plain,
( spl90_1
| spl90_1
| spl90_2 ),
inference(sat_conversion,[],[f3212]) ).
cnf(s2,plain,
( spl90_1
| spl90_2 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl90_3
| spl90_4 ),
inference(sat_conversion,[],[f3221]) ).
cnf(s6,plain,
spl90_5,
inference(sat_conversion,[],[f3232]) ).
cnf(s12,plain,
( ~ spl90_2
| ~ spl90_5 ),
inference(sat_conversion,[],[f3251]) ).
cnf(s13,plain,
( ~ spl90_1
| ~ spl90_3 ),
inference(sat_conversion,[],[f3256]) ).
cnf(s14,plain,
( ~ spl90_1
| ~ spl90_4 ),
inference(sat_conversion,[],[f3260]) ).
cnf(s15,plain,
~ spl90_2,
inference(rat,[],[s12,s6]) ).
cnf(s16,plain,
spl90_1,
inference(rat,[],[s2,s15]) ).
cnf(s17,plain,
~ spl90_4,
inference(rat,[],[s14,s16]) ).
cnf(s18,plain,
~ spl90_3,
inference(rat,[],[s13,s16]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s3,s17,s18]) ).
thf(f3261,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP075^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n011.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 19:47:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.38 % (554346)Will run a generic schedule for satisfiability detection.
% 0.78/0.38 % (554354)dis+10_1_sil=32000:sp=arity:random_seed=2273130065:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.78/0.38 % (554352)% WARNING: option uhcvi not known.
% 0.78/0.38 % (554351)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=239726291_2999 on theBenchmark for (2999ds/0Mi)
% 0.78/0.38 % (554352)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=860943572:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.78/0.38 % (554353)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3419300606:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.78/0.38 % (554357)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3075044653:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.78/0.38 % (554355)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3137219493:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.78/0.38 % (554356)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3297883732:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.78/0.38 % (554352)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.78/0.38 % (554355)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.78/0.38 % (554354)Instruction limit reached!
% 0.78/0.38 % (554354)------------------------------
% 0.78/0.38 % (554354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (554354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (554354)CaDiCaL version: 2.1.3
% 0.78/0.38 % (554354)Termination reason: Instruction limit
% 0.78/0.38 % (554354)Termination phase: Property scanning
% 0.78/0.38 % (554354)Time elapsed: 0.023 s
% 0.78/0.38 % (554354)Peak memory usage: 11 MB
% 0.78/0.38 % (554354)Instructions burned: 108 (million)
% 0.78/0.38 % (554365)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=245185803:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.78/0.38 % Exception at run slice level
% 0.78/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.78/0.38 % (554352)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.78/0.38 % (554355)Instruction limit reached!
% 0.78/0.38 % (554355)------------------------------
% 0.78/0.38 % (554355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (554355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (554355)CaDiCaL version: 2.1.3
% 0.78/0.38 % (554355)Termination reason: Instruction limit
% 0.78/0.38 % (554355)Termination phase: Saturation
% 0.78/0.38 % (554355)Time elapsed: 0.049 s
% 0.78/0.38 % (554355)Peak memory usage: 12 MB
% 0.78/0.38 % (554355)Instructions burned: 119 (million)
% 0.78/0.38 % Exception at run slice level
% 0.78/0.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.78/0.38 % (554369)ott-21_1_sil=16000:fs=off:random_seed=1680453268:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.78/0.38 % (554356)Instruction limit reached!
% 0.78/0.38 % (554356)------------------------------
% 0.78/0.38 % (554356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (554356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (554367)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=499845184:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.78/0.38 % (554356)CaDiCaL version: 2.1.3
% 0.78/0.38 % (554356)Termination reason: Instruction limit
% 0.78/0.38 % (554356)Termination phase: Saturation
% 0.78/0.38 % (554356)Time elapsed: 0.065 s
% 0.78/0.38 % (554356)Peak memory usage: 12 MB
% 0.78/0.38 % (554356)Instructions burned: 132 (million)
% 0.78/0.38 % (554357)Instruction limit reached!
% 0.78/0.38 % (554357)------------------------------
% 0.78/0.38 % (554357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (554357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (554357)CaDiCaL version: 2.1.3
% 0.78/0.38 % (554357)Termination reason: Instruction limit
% 0.78/0.38 % (554357)Termination phase: Saturation
% 0.78/0.38 % (554357)Time elapsed: 0.067 s
% 0.78/0.38 % (554357)Peak memory usage: 13 MB
% 0.78/0.38 % (554357)Instructions burned: 161 (million)
% 0.78/0.38 % (554368)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2177352173:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.78/0.38 % (554373)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1533662978:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.78/0.38 % (554352) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-554346-554352"...
% 0.78/0.38 % (554352)...printing done.
% 0.78/0.38 % (554352)Refutation found. Thanks to Tanya!
% 0.78/0.38 % SZS status Theorem for theBenchmark
% 0.78/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.38 % (554352)------------------------------
% 0.78/0.38 % (554352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (554352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (554352)CaDiCaL version: 2.1.3
% 0.78/0.38 % (554352)Termination reason: Refutation
% 0.78/0.38 % (554352)Time elapsed: 0.091 s
% 0.78/0.38 % (554352)Peak memory usage: 14 MB
% 0.78/0.38 % (554352)Instructions burned: 211 (million)
% 0.78/0.38 % (554346)Success in time 0.146 s
% 0.78/0.38 % Vampire exiting
%------------------------------------------------------------------------------