%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP148^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:53 AM UTC 2026
% Result : Theorem 1.61s 0.55s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 111 ( 7 ~; 0 |; 0 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 438 ( 436 usr; 17 con; 0-5 aty)
% Number of variables : 43 ( 27 ^; 16 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_real_real: $tType ).
thf(type_def_6,type,
set_a_complex: $tType ).
thf(type_def_7,type,
set_complex_a: $tType ).
thf(type_def_8,type,
set_real_a: $tType ).
thf(type_def_9,type,
set_complex: $tType ).
thf(type_def_10,type,
set_a_a: $tType ).
thf(type_def_11,type,
set_real: $tType ).
thf(type_def_12,type,
set_a: $tType ).
thf(type_def_13,type,
complex: $tType ).
thf(type_def_14,type,
real: $tType ).
thf(type_def_15,type,
a: $tType ).
thf(type_def_16,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bij_be209634132omplex: ( complex > complex ) > set_complex > set_complex > $o ).
thf(func_def_1,type,
bij_betw_complex_a: ( complex > a ) > set_complex > set_a > $o ).
thf(func_def_2,type,
bij_be122140626omplex: ( real > complex ) > set_real > set_complex > $o ).
thf(func_def_3,type,
bij_betw_real_real: ( real > real ) > set_real > set_real > $o ).
thf(func_def_4,type,
bij_betw_real_a: ( real > a ) > set_real > set_a > $o ).
thf(func_def_5,type,
bij_betw_a_complex: ( a > complex ) > set_a > set_complex > $o ).
thf(func_def_6,type,
bij_betw_a_a: ( a > a ) > set_a > set_a > $o ).
thf(func_def_7,type,
comp_c130555887omplex: ( complex > complex ) > ( complex > complex ) > complex > complex ).
thf(func_def_8,type,
comp_c595887981x_real: ( complex > complex ) > ( real > complex ) > real > complex ).
thf(func_def_9,type,
comp_c124850173plex_a: ( complex > complex ) > ( a > complex ) > a > complex ).
thf(func_def_10,type,
comp_c819638635l_real: ( complex > real ) > ( real > complex ) > real > real ).
thf(func_def_11,type,
comp_complex_real_a: ( complex > real ) > ( a > complex ) > a > real ).
thf(func_def_12,type,
comp_c274302683omplex: ( complex > a ) > ( complex > complex ) > complex > a ).
thf(func_def_13,type,
comp_complex_a_real: ( complex > a ) > ( real > complex ) > real > a ).
thf(func_def_14,type,
comp_complex_a_a: ( complex > a ) > ( a > complex ) > a > a ).
thf(func_def_15,type,
comp_r667767405omplex: ( real > complex ) > ( complex > real ) > complex > complex ).
thf(func_def_16,type,
comp_r701421291x_real: ( real > complex ) > ( real > real ) > real > complex ).
thf(func_def_17,type,
comp_real_complex_a: ( real > complex ) > ( a > real ) > a > complex ).
thf(func_def_18,type,
comp_r422820971omplex: ( real > real ) > ( complex > real ) > complex > real ).
thf(func_def_19,type,
comp_real_real_real: ( real > real ) > ( real > real ) > real > real ).
thf(func_def_20,type,
comp_real_real_a: ( real > real ) > ( a > real ) > a > real ).
thf(func_def_21,type,
comp_real_a_complex: ( real > a ) > ( complex > real ) > complex > a ).
thf(func_def_22,type,
comp_real_a_real: ( real > a ) > ( real > real ) > real > a ).
thf(func_def_23,type,
comp_real_a_a: ( real > a ) > ( a > real ) > a > a ).
thf(func_def_24,type,
comp_a1063143865omplex: ( a > complex ) > ( complex > a ) > complex > complex ).
thf(func_def_25,type,
comp_a_complex_real: ( a > complex ) > ( real > a ) > real > complex ).
thf(func_def_26,type,
comp_a_complex_a: ( a > complex ) > ( a > a ) > a > complex ).
thf(func_def_27,type,
comp_a_real_complex: ( a > real ) > ( complex > a ) > complex > real ).
thf(func_def_28,type,
comp_a_real_real: ( a > real ) > ( real > a ) > real > real ).
thf(func_def_29,type,
comp_a_real_a: ( a > real ) > ( a > a ) > a > real ).
thf(func_def_30,type,
comp_a_a_complex: ( a > a ) > ( complex > a ) > complex > a ).
thf(func_def_31,type,
comp_a_a_real: ( a > a ) > ( real > a ) > real > a ).
thf(func_def_32,type,
comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).
thf(func_def_33,type,
id_complex_a: ( complex > a ) > complex > a ).
thf(func_def_34,type,
id_real_a: ( real > a ) > real > a ).
thf(func_def_35,type,
id_a_a: ( a > a ) > a > a ).
thf(func_def_36,type,
id_complex: complex > complex ).
thf(func_def_37,type,
id_real: real > real ).
thf(func_def_38,type,
id_a: a > a ).
thf(func_def_39,type,
inj_on893405649omplex: ( ( complex > a ) > complex > complex ) > set_complex_a > $o ).
thf(func_def_40,type,
inj_on1576005937plex_a: ( ( complex > a ) > complex > a ) > set_complex_a > $o ).
thf(func_def_41,type,
inj_on958237983real_a: ( ( real > real ) > real > a ) > set_real_real > $o ).
thf(func_def_42,type,
inj_on319905617omplex: ( ( real > a ) > real > complex ) > set_real_a > $o ).
thf(func_def_43,type,
inj_on_real_a_real_a: ( ( real > a ) > real > a ) > set_real_a > $o ).
thf(func_def_44,type,
inj_on_a_complex_a_a: ( ( a > complex ) > a > a ) > set_a_complex > $o ).
thf(func_def_45,type,
inj_on_a_a_a_complex: ( ( a > a ) > a > complex ) > set_a_a > $o ).
thf(func_def_46,type,
inj_on_a_a_a_a: ( ( a > a ) > a > a ) > set_a_a > $o ).
thf(func_def_47,type,
inj_on94911183omplex: ( complex > complex ) > set_complex > $o ).
thf(func_def_48,type,
inj_on_complex_a: ( complex > a ) > set_complex > $o ).
thf(func_def_49,type,
inj_on_real_complex: ( real > complex ) > set_real > $o ).
thf(func_def_50,type,
inj_on_real_real: ( real > real ) > set_real > $o ).
thf(func_def_51,type,
inj_on_real_a: ( real > a ) > set_real > $o ).
thf(func_def_52,type,
inj_on_a_complex: ( a > complex ) > set_a > $o ).
thf(func_def_53,type,
inj_on_a_a: ( a > a ) > set_a > $o ).
thf(func_def_54,type,
zero_zero_complex: complex ).
thf(func_def_55,type,
zero_zero_a: a ).
thf(func_def_56,type,
top_top_complex_o: complex > $o ).
thf(func_def_57,type,
top_top_a_o: a > $o ).
thf(func_def_58,type,
top_to525076535plex_a: set_complex_a ).
thf(func_def_59,type,
top_to1446257885l_real: set_real_real ).
thf(func_def_60,type,
top_top_set_real_a: set_real_a ).
thf(func_def_61,type,
top_to2109114701omplex: set_a_complex ).
thf(func_def_62,type,
top_top_set_a_a: set_a_a ).
thf(func_def_63,type,
top_top_set_complex: set_complex ).
thf(func_def_64,type,
top_top_set_real: set_real ).
thf(func_def_65,type,
top_top_set_a: set_a ).
thf(func_def_66,type,
path_arc_complex: ( real > complex ) > $o ).
thf(func_def_67,type,
path_arc_real: ( real > real ) > $o ).
thf(func_def_68,type,
path_arc_a: ( real > a ) > $o ).
thf(func_def_69,type,
path_path_complex: ( real > complex ) > $o ).
thf(func_def_70,type,
path_path_real: ( real > real ) > $o ).
thf(func_def_71,type,
path_path_a: ( real > a ) > $o ).
thf(func_def_72,type,
path_p769714271omplex: ( real > complex ) > complex ).
thf(func_def_73,type,
path_pathfinish_real: ( real > real ) > real ).
thf(func_def_74,type,
path_pathfinish_a: ( real > a ) > a ).
thf(func_def_75,type,
path_p797330068omplex: ( real > complex ) > complex ).
thf(func_def_76,type,
path_pathstart_real: ( real > real ) > real ).
thf(func_def_77,type,
path_pathstart_a: ( real > a ) > a ).
thf(func_def_78,type,
path_rectpath: complex > complex > real > complex ).
thf(func_def_79,type,
path_s36253918omplex: ( real > complex ) > $o ).
thf(func_def_80,type,
path_s1005760220h_real: ( real > real ) > $o ).
thf(func_def_81,type,
path_simple_path_a: ( real > a ) > $o ).
thf(func_def_82,type,
poinca1910941596x_of_a: a > complex ).
thf(func_def_83,type,
poinca837721858l_of_a: complex > a ).
thf(func_def_84,type,
real_V762982918plex_a: ( complex > a ) > $o ).
thf(func_def_85,type,
real_V912435428omplex: ( a > complex ) > $o ).
thf(func_def_86,type,
real_V301987619plex_a: ( complex > a ) > $o ).
thf(func_def_87,type,
real_V451440129omplex: ( a > complex ) > $o ).
thf(func_def_88,type,
real_V670066493omplex: ( complex > complex ) > $o ).
thf(func_def_89,type,
real_V1327653935plex_a: ( complex > a ) > $o ).
thf(func_def_90,type,
real_V1948715323omplex: ( real > complex ) > $o ).
thf(func_def_91,type,
real_V1354572473l_real: ( real > real ) > $o ).
thf(func_def_92,type,
real_V779700657real_a: ( real > a ) > $o ).
thf(func_def_93,type,
real_V1477106445omplex: ( a > complex ) > $o ).
thf(func_def_94,type,
real_V202220639ar_a_a: ( a > a ) > $o ).
thf(func_def_95,type,
collect_complex: ( complex > $o ) > set_complex ).
thf(func_def_96,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_97,type,
member_complex: complex > set_complex > $o ).
thf(func_def_98,type,
member_a: a > set_a > $o ).
thf(func_def_99,type,
c: real > a ).
thf(func_def_103,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_105,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_107,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_108,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_109,type,
vIMP: $o > $o > $o ).
thf(func_def_110,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_111,type,
vAND: $o > $o > $o ).
thf(func_def_112,type,
vNOT: $o > $o ).
thf(func_def_113,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_114,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_115,type,
sK0: ( a > complex ) > a ).
thf(func_def_116,type,
sK1: ( a > complex ) > a ).
thf(func_def_117,type,
sK2: ( complex > a ) > complex ).
thf(func_def_118,type,
sK3: ( complex > a ) > complex ).
thf(func_def_119,type,
sK4: ( a > complex ) > set_a > a ).
thf(func_def_120,type,
sK5: ( a > complex ) > set_a > a ).
thf(func_def_121,type,
sK6: ( complex > a ) > set_complex > complex ).
thf(func_def_122,type,
sK7: ( complex > a ) > set_complex > complex ).
thf(func_def_123,type,
sK8: ( a > complex ) > ( a > complex ) > set_a > a ).
thf(func_def_124,type,
sK9: ( complex > a ) > ( complex > a ) > set_complex > complex ).
thf(func_def_125,type,
sK10: ( a > complex ) > ( complex > a ) > set_a > a ).
thf(func_def_126,type,
sK11: ( complex > a ) > ( a > complex ) > set_complex > complex ).
thf(func_def_127,type,
sK12: set_a > a ).
thf(func_def_128,type,
sK13: set_complex > complex ).
thf(func_def_129,type,
sK14: a ).
thf(func_def_130,type,
sK15: complex ).
thf(func_def_131,type,
sK16: ( a > a ) > a > a ).
thf(func_def_132,type,
sK17: ( a > complex ) > complex > a ).
thf(func_def_133,type,
sK18: ( complex > a ) > a > complex ).
thf(func_def_134,type,
sK19: set_a > set_complex > a > complex ).
thf(func_def_135,type,
sK20: set_complex > set_a > complex > a ).
thf(func_def_136,type,
sK21: ( complex > a ) > ( complex > a ) > set_complex > complex ).
thf(func_def_137,type,
sK22: ( a > complex ) > ( a > complex ) > set_a > a ).
thf(func_def_138,type,
sK23: a > ( a > a ) > a ).
thf(func_def_139,type,
sK24: complex > ( a > complex ) > a ).
thf(func_def_140,type,
sK25: a > ( complex > a ) > complex ).
thf(func_def_141,type,
sK26: complex > ( complex > complex ) > complex ).
thf(func_def_142,type,
sK27: set_a > set_complex > ( a > complex ) > ( complex > a ) > complex ).
thf(func_def_143,type,
sK28: set_a > ( a > complex ) > ( complex > a ) > set_complex > a ).
thf(func_def_144,type,
sK29: set_complex > set_a > ( complex > a ) > ( a > complex ) > a ).
thf(func_def_145,type,
sK30: set_complex > ( complex > a ) > ( a > complex ) > set_a > complex ).
thf(func_def_146,type,
sK31: set_complex > ( a > complex ) > set_a > ( complex > a ) > a ).
thf(func_def_147,type,
sK32: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_148,type,
sK33: set_complex > ( complex > a ) > set_a > ( a > complex ) > complex ).
thf(func_def_149,type,
sK34: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_150,type,
sK35: set_complex > ( complex > a ) > set_a > a > complex ).
thf(func_def_151,type,
sK36: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_152,type,
sK37: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_153,type,
sK38: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_154,type,
sK39: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_155,type,
sK40: set_a > ( complex > complex ) > ( a > complex ) > set_complex > complex > a ).
thf(func_def_156,type,
sK41: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_157,type,
sK42: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_158,type,
sK43: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_159,type,
sK44: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_160,type,
sK45: set_a > ( complex > a ) > ( a > complex ) > set_complex > ( complex > complex ) > complex ).
thf(func_def_161,type,
sK46: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_162,type,
sK47: set_a > ( complex > complex ) > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_163,type,
sK48: set_a > ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_164,type,
sK49: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_165,type,
sK50: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_166,type,
sK51: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_167,type,
sK52: set_a > ( a > complex ) > set_complex > complex > a ).
thf(func_def_168,type,
sK53: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_169,type,
sK54: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_170,type,
sK55: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_171,type,
sK56: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_172,type,
sK57: set_complex > ( a > a ) > ( complex > a ) > set_a > a > complex ).
thf(func_def_173,type,
sK58: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_174,type,
sK59: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_175,type,
sK60: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_176,type,
sK61: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_177,type,
sK62: set_complex > ( a > complex ) > ( complex > a ) > set_a > ( a > a ) > a ).
thf(func_def_178,type,
sK63: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_179,type,
sK64: set_complex > ( a > a ) > ( complex > a ) > set_a > ( a > complex ) > complex ).
thf(func_def_180,type,
sK65: set_a > ( a > complex ) > ( a > a ) > set_complex > complex > a ).
thf(func_def_181,type,
sK66: set_a > ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_182,type,
sK67: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_183,type,
sK68: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_184,type,
sK69: set_a > ( a > complex ) > set_complex > complex > a ).
thf(func_def_185,type,
sK70: set_a > ( complex > a ) > ( a > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_186,type,
sK71: set_a > ( a > complex ) > ( a > a ) > set_complex > ( complex > a ) > a ).
thf(func_def_187,type,
sK72: set_a > ( complex > a ) > ( a > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_188,type,
sK73: set_a > ( a > complex ) > ( a > a ) > set_complex > ( complex > a ) > a ).
thf(func_def_189,type,
sK74: set_a > ( a > complex ) > set_complex > complex > a ).
thf(func_def_190,type,
sK75: set_a > ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_191,type,
sK76: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_192,type,
sK77: set_complex > ( complex > a ) > set_a > a > complex ).
thf(func_def_193,type,
sK78: set_complex > ( a > complex ) > ( complex > complex ) > set_a > ( complex > a ) > a ).
thf(func_def_194,type,
sK79: set_complex > ( complex > a ) > ( complex > complex ) > set_a > ( a > complex ) > complex ).
thf(func_def_195,type,
sK80: set_complex > ( complex > a ) > ( complex > complex ) > set_a > ( a > complex ) > complex ).
thf(func_def_196,type,
sK81: set_complex > ( complex > a ) > ( complex > complex ) > set_a > a > complex ).
thf(func_def_197,type,
sK82: set_complex > ( a > complex ) > set_a > ( complex > a ) > a ).
thf(func_def_198,type,
sK83: set_complex > ( complex > a ) > set_a > ( a > complex ) > complex ).
thf(func_def_199,type,
sK84: set_complex > ( a > complex ) > set_a > ( complex > a ) > a ).
thf(func_def_200,type,
sK85: set_complex > ( complex > a ) > set_a > ( a > complex ) > complex ).
thf(func_def_201,type,
sK86: set_complex > ( a > complex ) > set_a > ( complex > a ) > a ).
thf(func_def_202,type,
sK87: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_203,type,
sK88: set_complex > ( complex > a ) > set_a > ( a > complex ) > complex ).
thf(func_def_204,type,
sK89: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_205,type,
sK90: set_a > ( complex > complex ) > ( a > complex ) > set_complex > complex > a ).
thf(func_def_206,type,
sK91: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_207,type,
sK92: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_208,type,
sK93: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_209,type,
sK94: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_210,type,
sK95: set_a > ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_211,type,
sK96: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_212,type,
sK97: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_213,type,
sK98: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_214,type,
sK99: set_complex > ( a > a ) > ( complex > a ) > set_a > a > complex ).
thf(func_def_215,type,
sK100: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_216,type,
sK101: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_217,type,
sK102: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_218,type,
sK103: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_219,type,
sK104: set_a > ( a > complex ) > ( a > a ) > set_complex > complex > a ).
thf(func_def_220,type,
sK105: set_a > ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_221,type,
sK106: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_222,type,
sK107: set_a > ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_223,type,
sK108: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_224,type,
sK109: set_a > ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_225,type,
sK110: set_a > ( a > complex ) > set_complex > ( complex > a ) > a ).
thf(func_def_226,type,
sK111: set_complex > ( complex > a ) > ( complex > complex ) > set_a > a > complex ).
thf(func_def_227,type,
sK112: set_complex > ( a > complex ) > set_a > ( complex > a ) > a ).
thf(func_def_228,type,
sK113: set_complex > ( complex > a ) > set_a > ( a > complex ) > complex ).
thf(func_def_229,type,
sK114: set_complex > ( a > complex ) > set_a > ( complex > a ) > a ).
thf(func_def_230,type,
sK115: set_complex > ( complex > a ) > set_a > ( a > complex ) > complex ).
thf(func_def_231,type,
sK116: ( a > complex ) > ( complex > a ) > a ).
thf(func_def_232,type,
sK117: ( a > complex ) > ( complex > a ) > complex ).
thf(func_def_233,type,
sK118: ( complex > a ) > ( a > complex ) > a ).
thf(func_def_234,type,
sK119: ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_235,type,
sK120: ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_236,type,
sK121: ( complex > a ) > ( a > complex ) > a ).
thf(func_def_237,type,
sK122: ( a > complex ) > ( complex > a ) > complex ).
thf(func_def_238,type,
sK123: ( a > complex ) > ( complex > a ) > a ).
thf(func_def_239,type,
sK124: ( complex > a ) > a > complex ).
thf(func_def_240,type,
sK125: ( a > complex ) > complex > a ).
thf(func_def_241,type,
sK126: set_a > set_complex > ( a > complex ) > ( complex > a ) > complex ).
thf(func_def_242,type,
sK127: set_a > ( a > complex ) > ( complex > a ) > set_complex > a ).
thf(func_def_243,type,
sK128: set_complex > set_a > ( complex > a ) > ( a > complex ) > a ).
thf(func_def_244,type,
sK129: set_complex > ( complex > a ) > ( a > complex ) > set_a > complex ).
thf(func_def_245,type,
sK130: ( a > complex ) > set_complex > set_a > complex > a ).
thf(func_def_246,type,
sK131: ( a > complex ) > set_complex > set_a > ( complex > a ) > complex ).
thf(func_def_247,type,
sK132: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_248,type,
sK133: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_249,type,
sK134: ( a > complex ) > set_complex > set_a > complex > a ).
thf(func_def_250,type,
sK135: ( a > complex ) > set_complex > set_a > ( complex > a ) > complex ).
thf(func_def_251,type,
sK136: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_252,type,
sK137: ( a > complex ) > set_complex > set_a > ( complex > a ) > complex ).
thf(func_def_253,type,
sK138: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_254,type,
sK139: ( a > complex ) > set_complex > set_a > complex > a ).
thf(func_def_255,type,
sK140: ( a > complex ) > set_complex > set_a > ( complex > a ) > complex ).
thf(func_def_256,type,
sK141: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_257,type,
sK142: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_258,type,
sK143: ( a > complex ) > set_complex > set_a > complex > a ).
thf(func_def_259,type,
sK144: ( a > complex ) > set_complex > set_a > ( complex > a ) > complex ).
thf(func_def_260,type,
sK145: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_261,type,
sK146: ( a > complex ) > set_complex > set_a > ( complex > a ) > complex ).
thf(func_def_262,type,
sK147: ( a > complex ) > set_complex > set_a > ( complex > a ) > a ).
thf(func_def_263,type,
sK148: ( complex > a ) > set_a > set_complex > a > complex ).
thf(func_def_264,type,
sK149: ( complex > a ) > set_a > set_complex > ( a > complex ) > a ).
thf(func_def_265,type,
sK150: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_266,type,
sK151: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_267,type,
sK152: ( complex > a ) > set_a > set_complex > a > complex ).
thf(func_def_268,type,
sK153: ( complex > a ) > set_a > set_complex > ( a > complex ) > a ).
thf(func_def_269,type,
sK154: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_270,type,
sK155: ( complex > a ) > set_a > set_complex > ( a > complex ) > a ).
thf(func_def_271,type,
sK156: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_272,type,
sK157: ( complex > a ) > set_a > set_complex > a > complex ).
thf(func_def_273,type,
sK158: ( complex > a ) > set_a > set_complex > ( a > complex ) > a ).
thf(func_def_274,type,
sK159: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_275,type,
sK160: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_276,type,
sK161: ( complex > a ) > set_a > set_complex > a > complex ).
thf(func_def_277,type,
sK162: ( complex > a ) > set_a > set_complex > ( a > complex ) > a ).
thf(func_def_278,type,
sK163: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_279,type,
sK164: ( complex > a ) > set_a > set_complex > ( a > complex ) > a ).
thf(func_def_280,type,
sK165: ( complex > a ) > set_a > set_complex > ( a > complex ) > complex ).
thf(func_def_281,type,
sK166: set_a > set_complex > a > complex ).
thf(func_def_282,type,
sK167: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_283,type,
sK168: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_284,type,
sK169: set_a > set_complex > ( complex > a ) > ( a > complex ) > complex ).
thf(func_def_285,type,
sK170: set_a > ( complex > a ) > ( a > complex ) > set_complex > a ).
thf(func_def_286,type,
sK171: set_complex > set_a > complex > a ).
thf(func_def_287,type,
sK172: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_288,type,
sK173: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_289,type,
sK174: set_complex > set_a > ( a > complex ) > ( complex > a ) > a ).
thf(func_def_290,type,
sK175: set_complex > ( a > complex ) > ( complex > a ) > set_a > complex ).
thf(func_def_291,type,
sK176: ( a > a ) > a ).
thf(func_def_292,type,
sK177: ( complex > complex ) > complex ).
thf(func_def_293,type,
sK178: set_a > set_complex > ( a > complex ) > ( complex > a ) > complex ).
thf(func_def_294,type,
sK179: set_a > ( a > complex ) > ( complex > a ) > set_complex > a ).
thf(func_def_295,type,
sK180: set_complex > set_a > ( complex > a ) > ( a > complex ) > a ).
thf(func_def_296,type,
sK181: set_complex > ( complex > a ) > ( a > complex ) > set_a > complex ).
thf(func_def_297,type,
sK182: ( complex > a ) > complex ).
thf(func_def_298,type,
sK183: ( complex > a ) > complex ).
thf(func_def_299,type,
sK184: ( complex > a ) > complex ).
thf(func_def_300,type,
sK185: ( a > complex ) > a ).
thf(func_def_301,type,
sK186: ( a > complex ) > a ).
thf(func_def_302,type,
sK187: ( a > complex ) > a ).
thf(func_def_303,type,
sK188: ( complex > a ) > complex ).
thf(func_def_304,type,
sK189: ( complex > a ) > complex ).
thf(func_def_305,type,
sK190: ( complex > a ) > complex ).
thf(func_def_306,type,
sK191: ( complex > a ) > complex ).
thf(func_def_307,type,
sK192: ( a > complex ) > a ).
thf(func_def_308,type,
sK193: ( a > complex ) > a ).
thf(func_def_309,type,
sK194: ( a > complex ) > a ).
thf(func_def_310,type,
sK195: ( a > complex ) > a ).
thf(func_def_311,type,
sK196: ( complex > a ) > complex ).
thf(func_def_312,type,
sK197: ( complex > a ) > complex ).
thf(func_def_313,type,
sK198: ( complex > a ) > complex ).
thf(func_def_314,type,
sK199: ( complex > a ) > complex ).
thf(func_def_315,type,
sK200: ( a > complex ) > a ).
thf(func_def_316,type,
sK201: ( a > complex ) > a ).
thf(func_def_317,type,
sK202: ( a > complex ) > a ).
thf(func_def_318,type,
sK203: ( a > complex ) > a ).
thf(func_def_319,type,
sK204: complex > a ).
thf(func_def_320,type,
sK205: a > complex ).
thf(func_def_321,type,
sK206: ( complex > a ) > complex ).
thf(func_def_322,type,
sK207: ( complex > a ) > complex ).
thf(func_def_323,type,
sK208: ( complex > a ) > complex ).
thf(func_def_324,type,
sK209: ( complex > a ) > complex ).
thf(func_def_325,type,
sK210: ( complex > a ) > complex ).
thf(func_def_326,type,
sK211: ( complex > a ) > complex ).
thf(func_def_327,type,
sK212: ( complex > a ) > complex ).
thf(func_def_328,type,
sK213: ( a > complex ) > a ).
thf(func_def_329,type,
sK214: ( a > complex ) > a ).
thf(func_def_330,type,
sK215: ( a > complex ) > a ).
thf(func_def_331,type,
sK216: ( a > complex ) > a ).
thf(func_def_332,type,
sK217: ( a > complex ) > a ).
thf(func_def_333,type,
sK218: ( a > complex ) > a ).
thf(func_def_334,type,
sK219: ( a > complex ) > a ).
thf(func_def_335,type,
sK220: ( complex > a ) > complex ).
thf(func_def_336,type,
sK221: ( complex > a ) > complex ).
thf(func_def_337,type,
sK222: ( a > complex ) > a ).
thf(func_def_338,type,
sK223: ( a > complex ) > a ).
thf(func_def_339,type,
sK224: ( a > complex ) > a ).
thf(func_def_340,type,
sK225: ( a > complex ) > a ).
thf(func_def_341,type,
sK226: ( a > complex ) > a ).
thf(func_def_342,type,
sK227: ( a > complex ) > a ).
thf(func_def_343,type,
sK228: ( a > complex ) > a ).
thf(func_def_344,type,
sK229: ( a > complex ) > a ).
thf(func_def_345,type,
sK230: ( a > complex ) > a ).
thf(func_def_346,type,
sK231: ( a > complex ) > a ).
thf(func_def_347,type,
sK232: ( complex > a ) > complex ).
thf(func_def_348,type,
sK233: ( complex > a ) > complex ).
thf(func_def_349,type,
sK234: ( complex > a ) > complex ).
thf(func_def_350,type,
sK235: ( complex > a ) > complex ).
thf(func_def_351,type,
sK236: ( complex > a ) > set_complex > ( a > a ) > complex ).
thf(func_def_352,type,
sK237: ( complex > a ) > set_complex > ( a > a ) > complex ).
thf(func_def_353,type,
sK238: ( a > complex ) > set_a > ( complex > complex ) > a ).
thf(func_def_354,type,
sK239: ( a > complex ) > set_a > ( complex > complex ) > a ).
thf(func_def_355,type,
sK240: ( a > a ) > set_a > ( a > complex ) > a ).
thf(func_def_356,type,
sK241: ( a > a ) > set_a > ( a > complex ) > a ).
thf(func_def_357,type,
sK242: ( complex > a ) > complex ).
thf(func_def_358,type,
sK243: ( complex > a ) > complex ).
thf(func_def_359,type,
sK244: ( a > complex ) > a ).
thf(func_def_360,type,
sK245: ( complex > a ) > complex ).
thf(func_def_361,type,
sK246: ( complex > a ) > complex ).
thf(func_def_362,type,
sK247: ( a > complex ) > a ).
thf(func_def_363,type,
sK248: ( complex > a ) > complex ).
thf(func_def_364,type,
sK249: ( a > complex ) > a ).
thf(func_def_365,type,
sK250: ( a > complex ) > a ).
thf(func_def_366,type,
sK251: ( complex > a ) > complex ).
thf(func_def_367,type,
sK252: ( a > complex ) > a ).
thf(func_def_368,type,
sK253: ( a > complex ) > a ).
thf(func_def_369,type,
sK254: ( complex > a ) > complex ).
thf(func_def_370,type,
sK255: ( a > complex ) > a ).
thf(func_def_371,type,
sK256: ( complex > a ) > complex ).
thf(func_def_372,type,
sK257: ( complex > a ) > complex ).
thf(func_def_373,type,
sK258: ( a > complex ) > a ).
thf(func_def_374,type,
sK259: ( a > complex ) > a ).
thf(func_def_375,type,
sK260: ( a > complex ) > a ).
thf(func_def_376,type,
sK261: ( a > complex ) > a ).
thf(func_def_377,type,
sK262: set_complex > ( complex > a ) > complex ).
thf(func_def_378,type,
sK263: set_complex > ( complex > a ) > complex ).
thf(func_def_379,type,
sK264: set_a > ( a > complex ) > a ).
thf(func_def_380,type,
sK265: set_a > ( a > complex ) > a ).
thf(func_def_381,type,
sK266: set_complex > ( complex > a ) > complex ).
thf(func_def_382,type,
sK267: set_complex > ( complex > a ) > complex ).
thf(func_def_383,type,
sK268: set_complex > ( complex > a ) > complex ).
thf(func_def_384,type,
sK269: set_complex > ( complex > a ) > complex ).
thf(func_def_385,type,
sK270: set_a > ( a > complex ) > a ).
thf(func_def_386,type,
sK271: set_a > ( a > complex ) > a ).
thf(func_def_387,type,
sK272: set_a > ( a > complex ) > a ).
thf(func_def_388,type,
sK273: set_a > ( a > complex ) > a ).
thf(func_def_389,type,
sK274: ( complex > a ) > set_complex > complex ).
thf(func_def_390,type,
sK275: ( complex > a ) > set_complex > complex ).
thf(func_def_391,type,
sK276: ( complex > a ) > set_complex > complex ).
thf(func_def_392,type,
sK277: ( complex > a ) > set_complex > complex ).
thf(func_def_393,type,
sK278: ( complex > a ) > set_complex > complex ).
thf(func_def_394,type,
sK279: ( complex > a ) > set_complex > complex ).
thf(func_def_395,type,
sK280: ( complex > a ) > set_complex > complex ).
thf(func_def_396,type,
sK281: ( complex > a ) > set_complex > complex ).
thf(func_def_397,type,
sK282: ( a > complex ) > set_a > a ).
thf(func_def_398,type,
sK283: ( a > complex ) > set_a > a ).
thf(func_def_399,type,
sK284: ( a > complex ) > set_a > a ).
thf(func_def_400,type,
sK285: ( a > complex ) > set_a > a ).
thf(func_def_401,type,
sK286: ( a > complex ) > set_a > a ).
thf(func_def_402,type,
sK287: ( a > complex ) > set_a > a ).
thf(func_def_403,type,
sK288: ( a > complex ) > set_a > a ).
thf(func_def_404,type,
sK289: ( a > complex ) > set_a > a ).
thf(func_def_405,type,
sK290: set_complex > ( complex > a ) > complex ).
thf(func_def_406,type,
sK291: set_complex > ( complex > a ) > complex ).
thf(func_def_407,type,
sK292: set_a > ( a > complex ) > a ).
thf(func_def_408,type,
sK293: set_a > ( a > complex ) > a ).
thf(func_def_409,type,
sK294: ( complex > a ) > complex ).
thf(func_def_410,type,
sK295: ( complex > a ) > complex ).
thf(func_def_411,type,
sK296: ( complex > a ) > complex ).
thf(func_def_412,type,
sK297: ( complex > a ) > complex ).
thf(func_def_413,type,
sK298: ( a > complex ) > a ).
thf(func_def_414,type,
sK299: ( a > complex ) > a ).
thf(func_def_415,type,
sK300: ( a > complex ) > a ).
thf(func_def_416,type,
sK301: ( a > complex ) > a ).
thf(func_def_417,type,
sK302: ( complex > a ) > complex ).
thf(func_def_418,type,
sK303: ( complex > a ) > complex ).
thf(func_def_419,type,
sK304: ( complex > a ) > complex ).
thf(func_def_420,type,
sK305: ( complex > a ) > complex ).
thf(func_def_421,type,
sK306: ( a > complex ) > a ).
thf(func_def_422,type,
sK307: ( a > complex ) > a ).
thf(func_def_423,type,
sK308: ( a > complex ) > a ).
thf(func_def_424,type,
sK309: ( a > complex ) > a ).
thf(func_def_425,type,
sK310: ( complex > a ) > complex ).
thf(func_def_426,type,
sK311: ( complex > a ) > complex ).
thf(func_def_427,type,
sK312: ( a > complex ) > a ).
thf(func_def_428,type,
sK313: ( a > complex ) > a ).
thf(func_def_429,type,
sK314: a ).
thf(func_def_430,type,
sK315: a ).
thf(func_def_431,type,
sK316: a ).
thf(func_def_432,type,
sK317: a ).
thf(func_def_434,type,
sK319: real > ( real > real > a ) > real ).
thf(func_def_435,type,
sK320: real > ( real > real > a ) > real ).
thf(func_def_436,type,
sK321: real > ( real > real > a ) > real ).
thf(func_def_437,type,
sK322: ( real > real > a ) > real > real ).
thf(func_def_438,type,
sK323: ( real > a ) > ( a > real > a ) > real ).
thf(f1,axiom,
( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(f9,axiom,
( comp_a_complex_real
= ( ^ [X0: a > complex,X1: real > a,X2: real] : ( X0 @ ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_comp__apply) ).
thf(f14,axiom,
! [X0: a > complex,X1: real > a] :
( ( path_p769714271omplex @ ( comp_a_complex_real @ X0 @ X1 ) )
= ( X0 @ ( path_pathfinish_a @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_pathfinish__compose) ).
thf(f19,axiom,
! [X0: a > complex,X1: real > a] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X0 @ X1 ) )
= ( X0 @ ( path_pathstart_a @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_pathstart__compose) ).
thf(f355,conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f356,negated_conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(negated_conjecture,[status(cth)],[f355]) ).
thf(f366,plain,
( comp_a_complex_real
= ( ^ [Y0: a > complex,Y1: real > a,Y2: real] : ( Y0 @ ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f735,plain,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(flattening,[],[f356]) ).
thf(f1093,plain,
( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1101,plain,
( comp_a_complex_real
= ( ^ [Y0: a > complex,Y1: real > a,Y2: real] : ( Y0 @ ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f366]) ).
thf(f1106,plain,
! [X0: a > complex,X1: real > a] :
( ( path_p769714271omplex @ ( comp_a_complex_real @ X0 @ X1 ) )
= ( X0 @ ( path_pathfinish_a @ X1 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f1111,plain,
! [X0: a > complex,X1: real > a] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X0 @ X1 ) )
= ( X0 @ ( path_pathstart_a @ X1 ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f1468,plain,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(cnf_transformation,[],[f735]) ).
thf(f1480,plain,
! [X0: a > complex,X1: real > a] :
( ( X0 @ ( path_pathfinish_a @ X1 ) )
= ( path_p769714271omplex
@ ( ^ [Y0: a > complex,Y1: real > a,Y2: real] : ( Y0 @ ( Y1 @ Y2 ) )
@ X0
@ X1 ) ) ),
inference(definition_unfolding,[],[f1106,f1101]) ).
thf(f1483,plain,
! [X0: a > complex,X1: real > a] :
( ( X0 @ ( path_pathstart_a @ X1 ) )
= ( path_p797330068omplex
@ ( ^ [Y0: a > complex,Y1: real > a,Y2: real] : ( Y0 @ ( Y1 @ Y2 ) )
@ X0
@ X1 ) ) ),
inference(definition_unfolding,[],[f1111,f1101]) ).
thf(f1794,plain,
( ( path_p769714271omplex
@ ( ^ [Y0: a > complex,Y1: real > a,Y2: real] : ( Y0 @ ( Y1 @ Y2 ) )
@ poinca1910941596x_of_a
@ c ) )
!= ( path_p797330068omplex
@ ( ^ [Y0: a > complex,Y1: real > a,Y2: real] : ( Y0 @ ( Y1 @ Y2 ) )
@ poinca1910941596x_of_a
@ c ) ) ),
inference(definition_unfolding,[],[f1468,f1101,f1101]) ).
thf(f1847,plain,
( ( path_p769714271omplex
@ ^ [Y0: real] : ( poinca1910941596x_of_a @ ( c @ Y0 ) ) )
!= ( path_p797330068omplex
@ ^ [Y0: real] : ( poinca1910941596x_of_a @ ( c @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f1794]) ).
thf(f6015,plain,
! [X0: a > complex,X1: real > a] :
( ( X0 @ ( path_pathstart_a @ X1 ) )
= ( path_p797330068omplex
@ ^ [Y0: real] : ( X0 @ ( X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f1483]) ).
thf(f6018,plain,
! [X0: a > complex,X1: real > a] :
( ( X0 @ ( path_pathfinish_a @ X1 ) )
= ( path_p769714271omplex
@ ^ [Y0: real] : ( X0 @ ( X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f1480]) ).
thf(f6871,plain,
( ( path_p769714271omplex
@ ^ [Y0: real] : ( poinca1910941596x_of_a @ ( c @ Y0 ) ) )
!= ( poinca1910941596x_of_a @ ( path_pathstart_a @ c ) ) ),
inference(backward_demodulation,[],[f1847,f6015]) ).
thf(f6946,plain,
( ( path_p769714271omplex
@ ^ [Y0: real] : ( poinca1910941596x_of_a @ ( c @ Y0 ) ) )
!= ( poinca1910941596x_of_a @ ( path_pathfinish_a @ c ) ) ),
inference(forward_demodulation,[],[f6871,f1093]) ).
thf(f7055,plain,
$false,
inference(backward_subsumption_resolution,[],[f6946,f6018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP148^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:04:23 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.61/0.55 % (4045874)Will run a generic schedule for satisfiability detection.
% 1.61/0.55 % (4045883)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2091601559:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.61/0.55 % (4045880)% WARNING: option uhcvi not known.
% 1.61/0.55 % (4045879)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3363613632_2999 on theBenchmark for (2999ds/0Mi)
% 1.61/0.55 % (4045880)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2197909062:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.61/0.55 % (4045881)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2070600825:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.61/0.55 % (4045882)dis+10_1_sil=32000:sp=arity:random_seed=4196742816:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.61/0.55 % (4045883)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.61/0.55 % (4045884)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1787029129:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.61/0.55 % (4045885)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2967515140:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.61/0.55 % (4045880)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.61/0.55 % (4045883)Instruction limit reached!
% 1.61/0.55 % (4045883)------------------------------
% 1.61/0.55 % (4045883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.55 % (4045883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.55 % (4045883)CaDiCaL version: 2.1.3
% 1.61/0.55 % (4045883)Termination reason: Instruction limit
% 1.61/0.55 % (4045883)Termination phase: Saturation
% 1.61/0.55 % (4045883)Time elapsed: 0.027 s
% 1.61/0.55 % (4045883)Peak memory usage: 12 MB
% 1.61/0.55 % (4045883)Instructions burned: 119 (million)
% 1.61/0.55 % (4045893)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=357676264:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.61/0.55 % (4045882)Instruction limit reached!
% 1.61/0.55 % (4045882)------------------------------
% 1.61/0.55 % (4045882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.55 % (4045882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.55 % (4045882)CaDiCaL version: 2.1.3
% 1.61/0.55 % (4045882)Termination reason: Instruction limit
% 1.61/0.55 % (4045882)Termination phase: Property scanning
% 1.61/0.55 % (4045882)Time elapsed: 0.042 s
% 1.61/0.55 % (4045882)Peak memory usage: 11 MB
% 1.61/0.55 % (4045882)Instructions burned: 103 (million)
% 1.61/0.55 % Exception at run slice level
% 1.61/0.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.61/0.55 % (4045880)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.61/0.55 % Exception at run slice level
% 1.61/0.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.61/0.55 % (4045884)Instruction limit reached!
% 1.61/0.55 % (4045884)------------------------------
% 1.61/0.55 % (4045884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.55 % (4045884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.55 % (4045884)CaDiCaL version: 2.1.3
% 1.61/0.55 % (4045884)Termination reason: Instruction limit
% 1.61/0.55 % (4045884)Termination phase: Saturation
% 1.61/0.55 % (4045884)Time elapsed: 0.057 s
% 1.61/0.55 % (4045884)Peak memory usage: 13 MB
% 1.61/0.55 % (4045884)Instructions burned: 138 (million)
% 1.61/0.55 % (4045896)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=1108477602:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.61/0.55 % (4045895)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4029067736:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.61/0.55 % (4045897)ott-21_1_sil=16000:fs=off:random_seed=438453688:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.61/0.55 % (4045885)Instruction limit reached!
% 1.61/0.55 % (4045885)------------------------------
% 1.61/0.55 % (4045885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.55 % (4045885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.55 % (4045885)CaDiCaL version: 2.1.3
% 1.61/0.55 % (4045885)Termination reason: Instruction limit
% 1.61/0.55 % (4045885)Termination phase: Saturation
% 1.61/0.55 % (4045885)Time elapsed: 0.066 s
% 1.61/0.55 % (4045885)Peak memory usage: 13 MB
% 1.61/0.55 % (4045885)Instructions burned: 160 (million)
% 1.61/0.55 % (4045898)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1126404561:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.61/0.55 % (4045896)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.61/0.55 % (4045902)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3151130738:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.61/0.55 % (4045897)Instruction limit reached!
% 1.61/0.55 % (4045897)------------------------------
% 1.61/0.55 % (4045897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.55 % (4045897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.55 % (4045897)CaDiCaL version: 2.1.3
% 1.61/0.55 % (4045897)Termination reason: Instruction limit
% 1.61/0.55 % (4045897)Termination phase: Saturation
% 1.61/0.55 % (4045897)Time elapsed: 0.040 s
% 1.61/0.55 % (4045897)Peak memory usage: 13 MB
% 1.61/0.55 % (4045897)Instructions burned: 184 (million)
% 1.61/0.55 % (4045896)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.61/0.55 % (4045905)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2609200419:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.61/0.55 % (4045895)Instruction limit reached!
% 1.61/0.55 % (4045895)------------------------------
% 1.61/0.55 % (4045895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.55 % (4045895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.55 % (4045895)CaDiCaL version: 2.1.3
% 1.61/0.55 % (4045895)Termination reason: Instruction limit
% 1.61/0.55 % (4045895)Termination phase: Saturation
% 1.61/0.55 % (4045895)Time elapsed: 0.054 s
% 1.61/0.55 % (4045895)Peak memory usage: 13 MB
% 1.61/0.55 % (4045895)Instructions burned: 132 (million)
% 1.61/0.55 % Exception at run slice level
% 1.61/0.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.61/0.55 % (4045907)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2927768589:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.61/0.55 % (4045908)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3318692066:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.61/0.55 % (4045908)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.61/0.55 % Exception at run slice level
% 1.61/0.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.61/0.55 % (4045911)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3440779975:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.61/0.55 % (4045911)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.61/0.55 % (4045898) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4045874-4045898"...
% 1.61/0.55 % (4045898)...printing done.
% 1.61/0.55 % (4045898)Refutation found. Thanks to Tanya!
% 1.61/0.55 % SZS status Theorem for theBenchmark
% 1.61/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.56 % (4045898)------------------------------
% 1.61/0.56 % (4045898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.56 % (4045898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.56 % (4045898)CaDiCaL version: 2.1.3
% 1.61/0.56 % (4045898)Termination reason: Refutation
% 1.61/0.56 % (4045898)Time elapsed: 0.197 s
% 1.61/0.56 % (4045898)Peak memory usage: 16 MB
% 1.61/0.56 % (4045898)Instructions burned: 413 (million)
% 1.61/0.56 % (4045874)Success in time 0.332 s
% 1.61/0.56 % Vampire exiting
%------------------------------------------------------------------------------