TSTP Solution File: ITP119^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP119^2 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:04:04 EDT 2024
% Result : ContradictoryAxioms 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 264
% Syntax : Number of formulae : 284 ( 26 unt; 258 typ; 0 def)
% Number of atoms : 102 ( 21 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 851 ( 850 >; 1 *; 0 +; 0 <<)
% Number of symbols : 259 ( 256 usr; 13 con; 0-7 aty)
% Number of variables : 228 ( 0 ^ 8 !; 0 ?; 228 :)
% ( 220 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
list: $tType > $tType ).
thf(type_def_7,type,
a: $tType ).
thf(func_def_0,type,
list: $tType > $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
type:
!>[X0: $tType] : $o ).
thf(func_def_3,type,
ord:
!>[X0: $tType] : $o ).
thf(func_def_4,type,
linorder:
!>[X0: $tType] : $o ).
thf(func_def_5,type,
finite_comp_fun_idem:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 > X1 ) > $o ) ).
thf(func_def_6,type,
abel_semigroup:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_7,type,
abel_s1917375468axioms:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_8,type,
semigroup:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_9,type,
semilattice:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_10,type,
semilattice_axioms:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_11,type,
lattices_is_arg_max:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( X1 > X0 ) > ( X1 > $o ) > X1 > $o ) ).
thf(func_def_12,type,
lattices_is_arg_min:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( X1 > X0 ) > ( X1 > $o ) > X1 > $o ) ).
thf(func_def_13,type,
lattic35693393ce_set:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_14,type,
append:
!>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).
thf(func_def_15,type,
bind:
!>[X0: $tType,X1: $tType] : ( list(X0) > ( X0 > list(X1) ) > list(X1) ) ).
thf(func_def_16,type,
butlast:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_17,type,
concat:
!>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).
thf(func_def_18,type,
insert:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_19,type,
last:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_20,type,
cons:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).
thf(func_def_21,type,
nil:
!>[X0: $tType] : list(X0) ).
thf(func_def_22,type,
list_ex1:
!>[X0: $tType] : ( ( X0 > $o ) > list(X0) > $o ) ).
thf(func_def_23,type,
maps:
!>[X0: $tType,X1: $tType] : ( ( X0 > list(X1) ) > list(X0) > list(X1) ) ).
thf(func_def_24,type,
lexordp:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > list(X0) > list(X0) > $o ) ).
thf(func_def_25,type,
lexordp_eq:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > list(X0) > list(X0) > $o ) ).
thf(func_def_26,type,
product_lists:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
thf(func_def_27,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_28,type,
subseqs:
!>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).
thf(func_def_29,type,
modula1618706180attice:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > $o ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > $o ) ).
thf(func_def_30,type,
modula1192512645attice:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > $o ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > $o ) ).
thf(func_def_31,type,
modula105138637_a_aux:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > X0 ) ).
thf(func_def_32,type,
modula477145868_b_aux:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > X0 ) ).
thf(func_def_33,type,
modula849153099_c_aux:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > X0 ) ).
thf(func_def_34,type,
modula1221160330_d_aux:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > X0 ) ).
thf(func_def_35,type,
modula1593167561_e_aux:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > X0 ) ).
thf(func_def_36,type,
modula141148890istrib:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > $o ) > ( X0 > X0 > X0 ) > X0 > X0 > X0 > $o ) ).
thf(func_def_37,type,
transp:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).
thf(func_def_38,type,
a2: a ).
thf(func_def_39,type,
b: a ).
thf(func_def_40,type,
c: a ).
thf(func_def_41,type,
inf: a > a > a ).
thf(func_def_42,type,
less: a > a > $o ).
thf(func_def_43,type,
sup: a > a > a ).
thf(func_def_47,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_48,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_49,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_50,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_51,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_52,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_53,type,
vAND: $o > $o > $o ).
thf(func_def_54,type,
vOR: $o > $o > $o ).
thf(func_def_55,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vNOT: $o > $o ).
thf(func_def_57,type,
vIMP: $o > $o > $o ).
thf(func_def_58,type,
sP0: list(a) > a > a > list(a) > $o ).
thf(func_def_59,type,
sP1: list(a) > list(a) > $o ).
thf(func_def_60,type,
sP2: list(a) > a > a > list(a) > $o ).
thf(func_def_61,type,
sP3: list(a) > list(a) > $o ).
thf(func_def_62,type,
sP4: ( list(a) > list(a) > $o ) > $o ).
thf(func_def_63,type,
sP5: ( list(a) > list(a) > $o ) > $o ).
thf(func_def_64,type,
sP6:
!>[X0: $tType] : ( list(X0) > X0 > X0 > ( X0 > X0 > $o ) > list(X0) > $o ) ).
thf(func_def_65,type,
sP7:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > $o ) ).
thf(func_def_66,type,
sP8:
!>[X0: $tType] : ( list(X0) > X0 > X0 > ( X0 > X0 > $o ) > list(X0) > $o ) ).
thf(func_def_67,type,
sP9:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > $o ) ).
thf(func_def_68,type,
sP10:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > $o ) ).
thf(func_def_69,type,
sP11:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > $o ) ).
thf(func_def_70,type,
sK12: a ).
thf(func_def_71,type,
sK13:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_72,type,
sK14:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_73,type,
sK15:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_74,type,
sK16:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_75,type,
sK17:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_76,type,
sK18:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_77,type,
sK19:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_78,type,
sK20:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_79,type,
sK21:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_80,type,
sK22:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_81,type,
sK23:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_82,type,
sK24:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_83,type,
sK25:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_84,type,
sK26:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_85,type,
sK27:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_86,type,
sK28:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_87,type,
sK29:
!>[X0: $tType] : ( list(list(X0)) > X0 ) ).
thf(func_def_88,type,
sK30:
!>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).
thf(func_def_89,type,
sK31:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
thf(func_def_90,type,
sK32:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
thf(func_def_91,type,
sK33:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_92,type,
sK34:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_93,type,
sK35:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_94,type,
sK36:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_95,type,
sK37:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_96,type,
sK38:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > list(X1) > $o ) > X1 > X0 ) ).
thf(func_def_97,type,
sK39:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > list(X1) > $o ) > X1 > X0 ) ).
thf(func_def_98,type,
sK40:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > list(X1) > $o ) > X1 ) ).
thf(func_def_99,type,
sK41:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > list(X1) > $o ) > X1 ) ).
thf(func_def_100,type,
sK42:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > list(X1) > $o ) > list(X1) ) ).
thf(func_def_101,type,
sK43:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > list(X1) > $o ) > X1 > X0 ) ).
thf(func_def_102,type,
sK44:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > list(X1) > $o ) > X1 ) ).
thf(func_def_103,type,
sK45: list(a) > list(a) > a ).
thf(func_def_104,type,
sK46: list(a) > list(a) > a ).
thf(func_def_105,type,
sK47: list(a) > list(a) > list(a) ).
thf(func_def_106,type,
sK48: list(a) > list(a) > list(a) ).
thf(func_def_107,type,
sK49: list(a) > a > a > list(a) > list(a) ).
thf(func_def_108,type,
sK50: list(a) > list(a) > a ).
thf(func_def_109,type,
sK51: list(a) > list(a) > a ).
thf(func_def_110,type,
sK52: list(a) > list(a) > list(a) ).
thf(func_def_111,type,
sK53: list(a) > list(a) > a ).
thf(func_def_112,type,
sK54: list(a) > list(a) > a ).
thf(func_def_113,type,
sK55: list(a) > list(a) > list(a) ).
thf(func_def_114,type,
sK56: list(a) > list(a) > list(a) ).
thf(func_def_115,type,
sK57: list(a) > a > a > list(a) > list(a) ).
thf(func_def_116,type,
sK58: list(a) > list(a) > a ).
thf(func_def_117,type,
sK59: list(a) > list(a) > a ).
thf(func_def_118,type,
sK60: list(a) > list(a) > list(a) ).
thf(func_def_119,type,
sK61: list(a) > a ).
thf(func_def_120,type,
sK62: list(a) > list(a) ).
thf(func_def_121,type,
sK63:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_122,type,
sK64:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_123,type,
sK65:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_124,type,
sK66:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_125,type,
sK67:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_126,type,
sK68:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_127,type,
sK69:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_128,type,
sK70: a ).
thf(func_def_129,type,
sK71: a ).
thf(func_def_130,type,
sK72: a ).
thf(func_def_131,type,
sK73: a ).
thf(func_def_132,type,
sK74: a ).
thf(func_def_133,type,
sK75: a ).
thf(func_def_134,type,
sK76:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_135,type,
sK77:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_136,type,
sK78:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_137,type,
sK79:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_138,type,
sK80:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_139,type,
sK81:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_140,type,
sK82:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_141,type,
sK83:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_142,type,
sK84:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_143,type,
sK85:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_144,type,
sK86:
!>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).
thf(func_def_145,type,
sK87:
!>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).
thf(func_def_146,type,
sK88: ( list(a) > list(a) > $o ) > a ).
thf(func_def_147,type,
sK89: ( list(a) > list(a) > $o ) > a ).
thf(func_def_148,type,
sK90: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_149,type,
sK91: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_150,type,
sK92: ( list(a) > list(a) > $o ) > a ).
thf(func_def_151,type,
sK93: ( list(a) > list(a) > $o ) > a ).
thf(func_def_152,type,
sK94: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_153,type,
sK95: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_154,type,
sK96: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_155,type,
sK97: ( list(a) > list(a) > $o ) > a ).
thf(func_def_156,type,
sK98: ( list(a) > list(a) > $o ) > a ).
thf(func_def_157,type,
sK99: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_158,type,
sK100: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_159,type,
sK101: ( list(a) > list(a) > $o ) > a ).
thf(func_def_160,type,
sK102: ( list(a) > list(a) > $o ) > a ).
thf(func_def_161,type,
sK103: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_162,type,
sK104: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_163,type,
sK105: ( list(a) > list(a) > $o ) > a ).
thf(func_def_164,type,
sK106: ( list(a) > list(a) > $o ) > list(a) ).
thf(func_def_165,type,
sK107: a ).
thf(func_def_166,type,
sK108:
!>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(list(X0)) ) ).
thf(func_def_167,type,
sK109:
!>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(X0) ) ).
thf(func_def_168,type,
sK110:
!>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(X0) ) ).
thf(func_def_169,type,
sK111:
!>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(list(X0)) ) ).
thf(func_def_170,type,
sK112:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_171,type,
sK113:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_172,type,
sK114:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_173,type,
sK115:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_174,type,
sK116:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_175,type,
sK117:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_176,type,
sK118:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_177,type,
sK119:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_178,type,
sK120:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_179,type,
sK121:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_180,type,
sK122:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_181,type,
sK123:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 > X0 > $o ) ).
thf(func_def_182,type,
sK124:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 ) ).
thf(func_def_183,type,
sK125:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 ) ).
thf(func_def_184,type,
sK126:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_185,type,
sK127:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 > X0 > $o ) ).
thf(func_def_186,type,
sK128:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 ) ).
thf(func_def_187,type,
sK129:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 > X0 > $o ) ).
thf(func_def_188,type,
sK130:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 > X0 > $o ) ).
thf(func_def_189,type,
sK131:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 ) ).
thf(func_def_190,type,
sK132:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_191,type,
sK133:
!>[X0: $tType] : ( ( ( X0 > X0 > $o ) > list(X0) > $o ) > X0 > X0 > $o ) ).
thf(func_def_192,type,
sK134:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_193,type,
sK135:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_194,type,
sK136:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_195,type,
sK137:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_196,type,
sK138:
!>[X0: $tType] : ( list(X0) > X0 > X0 > ( X0 > X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_197,type,
sK139:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_198,type,
sK140:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_199,type,
sK141:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_200,type,
sK142:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_201,type,
sK143:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_202,type,
sK144:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_203,type,
sK145:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_204,type,
sK146:
!>[X0: $tType] : ( list(X0) > X0 > X0 > ( X0 > X0 > $o ) > list(X0) > list(X0) ) ).
thf(func_def_205,type,
sK147:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_206,type,
sK148:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_207,type,
sK149:
!>[X0: $tType] : ( list(X0) > list(X0) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_208,type,
sK150:
!>[X0: $tType] : ( list(X0) > X0 ) ).
thf(func_def_209,type,
sK151:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(func_def_210,type,
sK152:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X0 ) ).
thf(func_def_211,type,
sK153:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X0) ) ).
thf(func_def_212,type,
sK154:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X1 ) ).
thf(func_def_213,type,
sK155:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X1) ) ).
thf(func_def_214,type,
sK156:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X1 ) ).
thf(func_def_215,type,
sK157:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X1) ) ).
thf(func_def_216,type,
sK158:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X0 ) ).
thf(func_def_217,type,
sK159:
!>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X0) ) ).
thf(func_def_218,type,
sK160:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_219,type,
sK161:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_220,type,
sK162:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_221,type,
sK163:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_222,type,
sK164:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_223,type,
sK165:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_224,type,
sK166:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_225,type,
sK167:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_226,type,
sK168:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_227,type,
sK169:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_228,type,
sK170:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_229,type,
sK171:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_230,type,
sK172:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_231,type,
sK173:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_232,type,
sK174:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_233,type,
sK175:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_234,type,
sK176:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > ( X0 > X0 > $o ) > list(X0) ) ).
thf(func_def_235,type,
sK177:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > X0 ) ).
thf(func_def_236,type,
sK178:
!>[X0: $tType] : ( ( list(X0) > list(X0) > $o ) > list(X0) ) ).
thf(func_def_237,type,
sK179:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_238,type,
sK180:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > list(X0) > list(X1) > $o ) > X0 > X1 ) ).
thf(func_def_239,type,
sK181:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > list(X0) > list(X1) > $o ) > X0 ) ).
thf(func_def_240,type,
sK182:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > list(X0) > list(X1) > $o ) > list(X0) ) ).
thf(func_def_241,type,
sK183:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > list(X0) > list(X1) > $o ) > list(X1) ) ).
thf(func_def_242,type,
sK184:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > list(X0) > list(X1) > $o ) > X0 > X1 ) ).
thf(func_def_243,type,
sK185:
!>[X0: $tType,X1: $tType] : ( ( ( X0 > X1 ) > list(X0) > list(X1) > $o ) > list(X1) ) ).
thf(func_def_245,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_246,type,
sK187:
!>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > list(X0) > list(X0) ) ).
thf(func_def_247,type,
sK188:
!>[X0: $tType] : ( X0 > list(X0) > list(X0) > list(X0) > list(X0) ) ).
thf(func_def_248,type,
sK189:
!>[X0: $tType] : ( list(X0) > X0 > list(X0) > list(X0) > list(X0) ) ).
thf(func_def_249,type,
sK190:
!>[X0: $tType] : ( ( X0 > a ) > ( X0 > $o ) > X0 > X0 ) ).
thf(func_def_250,type,
sK191:
!>[X0: $tType] : ( ( X0 > a ) > ( X0 > $o ) > X0 > X0 ) ).
thf(func_def_251,type,
sK192:
!>[X0: $tType] : ( list(list(X0)) > list(X0) > list(X0) > list(list(X0)) ) ).
thf(func_def_252,type,
sK193: list(a) > list(a) > list(a) ).
thf(func_def_253,type,
sK194: list(a) > list(a) > list(a) ).
thf(func_def_254,type,
sK195: list(a) > list(a) > list(a) ).
thf(func_def_255,type,
sK196: list(a) > list(a) > list(a) ).
thf(func_def_256,type,
sK197: list(a) > list(a) > list(a) ).
thf(func_def_257,type,
sK198: list(a) > list(a) > list(a) ).
thf(func_def_258,type,
sK199:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
thf(f1837,plain,
$false,
inference(subsumption_resolution,[],[f1836,f1100]) ).
thf(f1100,plain,
! [X0: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),less,X0),X0) ),
inference(cnf_transformation,[],[f602]) ).
thf(f602,plain,
! [X0: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),less,X0),X0) ),
inference(flattening,[],[f297]) ).
thf(f297,plain,
! [X0: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),less,X0),X0) ),
inference(fool_elimination,[],[f296]) ).
thf(f296,plain,
! [X0: a] : ~ vAPP(a,$o,vAPP(a,sTfun(a,$o),less,X0),X0),
inference(rectify,[],[f17]) ).
thf(f17,axiom,
! [X3: a] : ~ vAPP(a,$o,vAPP(a,sTfun(a,$o),less,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_local_Oorder_Oirrefl) ).
thf(f1836,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),less,a2),a2),
inference(forward_demodulation,[],[f1835,f1825]) ).
thf(f1825,plain,
b = a2,
inference(superposition,[],[f1823,f1068]) ).
thf(f1068,plain,
! [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),sup,X0),X0) = X0 ),
inference(cnf_transformation,[],[f597]) ).
thf(f597,plain,
! [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),sup,X0),X0) = X0 ),
inference(rectify,[],[f56]) ).
thf(f56,axiom,
! [X5: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),sup,X5),X5) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_local_Osup__idem) ).
thf(f1823,plain,
a2 = vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),b),
inference(superposition,[],[f1061,f1821]) ).
thf(f1821,plain,
b = c,
inference(forward_demodulation,[],[f1820,f1819]) ).
thf(f1819,plain,
b = vAPP(a,a,vAPP(a,sTfun(a,a),inf,c),a2),
inference(forward_demodulation,[],[f1062,f1061]) ).
thf(f1062,plain,
b = vAPP(a,a,vAPP(a,sTfun(a,a),inf,c),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)),
inference(cnf_transformation,[],[f260]) ).
thf(f260,axiom,
b = vAPP(a,a,vAPP(a,sTfun(a,a),inf,c),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f1820,plain,
c = vAPP(a,a,vAPP(a,sTfun(a,a),inf,c),a2),
inference(forward_demodulation,[],[f1063,f1061]) ).
thf(f1063,plain,
c = vAPP(a,a,vAPP(a,sTfun(a,a),inf,c),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)),
inference(cnf_transformation,[],[f263]) ).
thf(f263,axiom,
c = vAPP(a,a,vAPP(a,sTfun(a,a),inf,c),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
thf(f1061,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c) = a2,
inference(cnf_transformation,[],[f261]) ).
thf(f261,axiom,
vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(f1835,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),less,b),a2),
inference(forward_demodulation,[],[f1064,f1061]) ).
thf(f1064,plain,
vAPP(a,$o,vAPP(a,sTfun(a,$o),less,b),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)) = $true,
inference(cnf_transformation,[],[f269]) ).
thf(f269,plain,
vAPP(a,$o,vAPP(a,sTfun(a,$o),less,b),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)) = $true,
inference(fool_elimination,[],[f268]) ).
thf(f268,plain,
vAPP(a,$o,vAPP(a,sTfun(a,$o),less,b),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)),
inference(rectify,[],[f262]) ).
thf(f262,axiom,
vAPP(a,$o,vAPP(a,sTfun(a,$o),less,b),vAPP(a,a,vAPP(a,sTfun(a,a),sup,b),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : ITP119^2 : TPTP v8.1.2. Released v7.5.0.
% 0.15/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 19:06:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (31045)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (31048)WARNING: value z3 for option sas not known
% 0.22/0.41 % (31049)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41 % (31046)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41 % (31051)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.41 % (31050)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.41 % (31052)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.41 % (31048)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.41 % (31047)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.47 % (31052)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.49 % Exception at run slice level
% 0.22/0.49 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.49 % Exception at run slice level
% 0.22/0.49 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.50 % (31055)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.50 % Exception at run slice level
% 0.22/0.50 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.51 % (31056)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.51 % (31061)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.22/0.52 % (31048)First to succeed.
% 0.22/0.52 % (31048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31045"
% 0.22/0.52 % (31048)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status ContradictoryAxioms for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (31048)------------------------------
% 0.22/0.52 % (31048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.52 % (31048)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (31048)Memory used [KB]: 2322
% 0.22/0.52 % (31048)Time elapsed: 0.111 s
% 0.22/0.52 % (31048)Instructions burned: 265 (million)
% 0.22/0.52 % (31045)Success in time 0.142 s
%------------------------------------------------------------------------------