TSTP Solution File: ITP029^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP029^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Mon May 20 22:48:26 EDT 2024
% Result : ContradictoryAxioms 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 188
% Syntax : Number of formulae : 206 ( 13 unt; 183 typ; 0 def)
% Number of atoms : 118 ( 25 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 24 ( 13 ~; 7 |; 0 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 438 ( 437 >; 1 *; 0 +; 0 <<)
% Number of symbols : 182 ( 179 usr; 7 con; 0-6 aty)
% Number of variables : 211 ( 0 ^ 17 !; 0 ?; 211 :)
% ( 194 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
binary1291135688e_Tree: $tType > $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
set: $tType > $tType ).
thf(type_def_8,type,
int: $tType ).
thf(type_def_9,type,
a: $tType ).
thf(func_def_0,type,
binary1291135688e_Tree: $tType > $tType ).
thf(func_def_1,type,
set: $tType > $tType ).
thf(func_def_2,type,
int: $tType ).
thf(func_def_3,type,
a: $tType ).
thf(func_def_4,type,
bounded_lattice:
!>[X0: $tType] : $o ).
thf(func_def_5,type,
type:
!>[X0: $tType] : $o ).
thf(func_def_6,type,
bot:
!>[X0: $tType] : $o ).
thf(func_def_7,type,
ord:
!>[X0: $tType] : $o ).
thf(func_def_8,type,
order:
!>[X0: $tType] : $o ).
thf(func_def_9,type,
no_bot:
!>[X0: $tType] : $o ).
thf(func_def_10,type,
no_top:
!>[X0: $tType] : $o ).
thf(func_def_11,type,
linorder:
!>[X0: $tType] : $o ).
thf(func_def_12,type,
preorder:
!>[X0: $tType] : $o ).
thf(func_def_13,type,
order_bot:
!>[X0: $tType] : $o ).
thf(func_def_14,type,
wellorder:
!>[X0: $tType] : $o ).
thf(func_def_15,type,
dense_order:
!>[X0: $tType] : $o ).
thf(func_def_16,type,
linordered_idom:
!>[X0: $tType] : $o ).
thf(func_def_17,type,
linordered_field:
!>[X0: $tType] : $o ).
thf(func_def_18,type,
semilattice_sup:
!>[X0: $tType] : $o ).
thf(func_def_19,type,
bounde1808546759up_bot:
!>[X0: $tType] : $o ).
thf(func_def_20,type,
condit1656338222tinuum:
!>[X0: $tType] : $o ).
thf(func_def_21,type,
binary210054475elle_T:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > binary1291135688e_Tree(X0) > binary1291135688e_Tree(X0) ) ).
thf(func_def_22,type,
binary1746293266le_Tip:
!>[X0: $tType] : binary1291135688e_Tree(X0) ).
thf(func_def_23,type,
binary536355927e_Tree:
!>[X0: $tType,X1: $tType] : ( X0 > ( binary1291135688e_Tree(X1) > X1 > binary1291135688e_Tree(X1) > X0 ) > binary1291135688e_Tree(X1) > X0 ) ).
thf(func_def_24,type,
binary1929596613c_Tree:
!>[X0: $tType,X1: $tType] : ( X0 > ( binary1291135688e_Tree(X1) > X1 > binary1291135688e_Tree(X1) > X0 > X0 > X0 ) > binary1291135688e_Tree(X1) > X0 ) ).
thf(func_def_25,type,
binary2130109271t_Tree:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > set(X0) ) ).
thf(func_def_26,type,
binary64540844le_eqs:
!>[X0: $tType] : ( ( X0 > int ) > X0 > set(X0) ) ).
thf(func_def_27,type,
binary1653327646_setOf:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > set(X0) ) ).
thf(func_def_28,type,
binary1610619414edTree:
!>[X0: $tType] : ( ( X0 > int ) > binary1291135688e_Tree(X0) > $o ) ).
thf(func_def_29,type,
binary231205461t_pred:
!>[X0: $tType] : ( ( X0 > int ) > X0 > X0 > binary1291135688e_Tree(X0) > $o ) ).
thf(func_def_30,type,
the:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_31,type,
if:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_32,type,
semilattice_neutr:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 > $o ) ).
thf(func_def_33,type,
sup_sup:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_34,type,
bot_bot:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
ord_less:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_36,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_37,type,
powp:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) > $o ) ).
thf(func_def_38,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( X0 > X0 > $o ) > ( X1 > X0 ) > X1 > X1 > $o ) ).
thf(func_def_39,type,
collect:
!>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).
thf(func_def_40,type,
pow:
!>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).
thf(func_def_41,type,
insert:
!>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).
thf(func_def_42,type,
is_empty:
!>[X0: $tType] : ( set(X0) > $o ) ).
thf(func_def_43,type,
is_singleton:
!>[X0: $tType] : ( set(X0) > $o ) ).
thf(func_def_44,type,
the_elem:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_45,type,
chains:
!>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).
thf(func_def_46,type,
pred_chain:
!>[X0: $tType] : ( set(X0) > ( X0 > X0 > $o ) > set(X0) > $o ) ).
thf(func_def_47,type,
member:
!>[X0: $tType] : ( X0 > set(X0) > $o ) ).
thf(func_def_48,type,
a2: a ).
thf(func_def_49,type,
b: a ).
thf(func_def_50,type,
h: a > int ).
thf(func_def_51,type,
t1: binary1291135688e_Tree(a) ).
thf(func_def_52,type,
t2: binary1291135688e_Tree(a) ).
thf(func_def_53,type,
x: a ).
thf(func_def_57,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_58,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_59,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_60,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_61,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_62,type,
vAND: $o > $o > $o ).
thf(func_def_63,type,
vIMP: $o > $o > $o ).
thf(func_def_64,type,
vNOT: $o > $o ).
thf(func_def_65,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_66,type,
vOR: $o > $o > $o ).
thf(func_def_67,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_68,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
sP0:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_70,type,
sP1:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_71,type,
sP2:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_72,type,
sP3:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_73,type,
sP4:
!>[X0: $tType] : ( set(set(X0)) > $o ) ).
thf(func_def_74,type,
sK5:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_75,type,
sK6:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_76,type,
sK7:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_77,type,
sK8:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_78,type,
sK9:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_79,type,
sK10:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_80,type,
sK11:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_81,type,
sK12:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_82,type,
sK13:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_83,type,
sK14:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_84,type,
sK15:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_85,type,
sK16:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_86,type,
sK17:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_87,type,
sK18:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_88,type,
sK19:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_89,type,
sK20:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_90,type,
sK21:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_91,type,
sK22:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_92,type,
sK23:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_93,type,
sK24:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_94,type,
sK25:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_95,type,
sK26:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_96,type,
sK27:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_97,type,
sK28:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_98,type,
sK29:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_99,type,
sK30:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_100,type,
sK31:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_101,type,
sK32:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_102,type,
sK33:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_103,type,
sK34:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_104,type,
sK35:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_105,type,
sK36:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_106,type,
sK37:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_107,type,
sK38:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_108,type,
sK39:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_109,type,
sK40:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_110,type,
sK41:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > binary1291135688e_Tree(X0) ) ).
thf(func_def_111,type,
sK42:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 ) ).
thf(func_def_112,type,
sK43:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > binary1291135688e_Tree(X0) ) ).
thf(func_def_113,type,
sK44:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_114,type,
sK45:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_115,type,
sK46:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_116,type,
sK47:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_117,type,
sK48:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_118,type,
sK49:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_119,type,
sK50:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_120,type,
sK51:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_121,type,
sK52:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_122,type,
sK53:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_123,type,
sK54:
!>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).
thf(func_def_124,type,
sK55:
!>[X0: $tType] : ( set(X0) > set(set(X0)) > set(X0) ) ).
thf(func_def_125,type,
sK56:
!>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).
thf(func_def_126,type,
sK57:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_127,type,
sK58:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_128,type,
sK59:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_129,type,
sK60:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 ) ).
thf(func_def_130,type,
sK61:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_131,type,
sK62:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_132,type,
sK63:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_133,type,
sK64:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_134,type,
sK65:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 ) ).
thf(func_def_135,type,
sK66:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_136,type,
sK67:
!>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_137,type,
sK68:
!>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).
thf(func_def_138,type,
sK69:
!>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).
thf(func_def_139,type,
sK70:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_140,type,
sK71:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_141,type,
sK72:
!>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).
thf(func_def_142,type,
sK73:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_143,type,
sK74:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_144,type,
sK75:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_145,type,
sK76:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_146,type,
sK77:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_147,type,
sK78:
!>[X0: $tType] : ( ( binary1291135688e_Tree(X0) > $o ) > binary1291135688e_Tree(X0) ) ).
thf(func_def_148,type,
sK79:
!>[X0: $tType] : ( ( binary1291135688e_Tree(X0) > $o ) > X0 ) ).
thf(func_def_149,type,
sK80:
!>[X0: $tType] : ( ( binary1291135688e_Tree(X0) > $o ) > binary1291135688e_Tree(X0) ) ).
thf(func_def_150,type,
sK81:
!>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).
thf(func_def_151,type,
sK82:
!>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).
thf(func_def_152,type,
sK83:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > binary1291135688e_Tree(X0) ) ).
thf(func_def_153,type,
sK84:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > X0 ) ).
thf(func_def_154,type,
sK85:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > binary1291135688e_Tree(X0) ) ).
thf(func_def_155,type,
sK86:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > binary1291135688e_Tree(X0) ) ).
thf(func_def_156,type,
sK87:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > binary1291135688e_Tree(X0) ) ).
thf(func_def_157,type,
sK88:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > binary1291135688e_Tree(X0) ) ).
thf(func_def_158,type,
sK89:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > X0 ) ).
thf(func_def_159,type,
sK90:
!>[X0: $tType] : ( binary1291135688e_Tree(X0) > X0 > binary1291135688e_Tree(X0) ) ).
thf(func_def_160,type,
sK91:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_161,type,
sK92:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_162,type,
sK93:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_163,type,
sK94:
!>[X0: $tType] : ( set(X0) > set(set(X0)) > set(X0) ) ).
thf(func_def_164,type,
sK95:
!>[X0: $tType] : ( set(X0) > set(set(X0)) > set(X0) ) ).
thf(func_def_165,type,
sK96:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( X0 > X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_166,type,
sK97:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > ( X0 > X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_167,type,
sK98:
!>[X0: $tType] : ( X0 > set(X0) > ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_169,type,
sK100:
!>[X0: $tType] : ( X0 > set(X0) > X0 > set(X0) > set(X0) ) ).
thf(func_def_170,type,
sK101:
!>[X0: $tType] : ( ( X0 > int ) > X0 > binary1291135688e_Tree(X0) > X0 ) ).
thf(func_def_171,type,
sK102:
!>[X0: $tType] : ( ( X0 > int ) > binary1291135688e_Tree(X0) > X0 > X0 ) ).
thf(func_def_172,type,
sK103:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_173,type,
sK104:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_174,type,
sK105:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_175,type,
sK106:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > set(X0) > X0 ) ).
thf(func_def_176,type,
sK107:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_177,type,
sK108:
!>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).
thf(func_def_178,type,
sK109:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_179,type,
sK110:
!>[X0: $tType] : ( set(X0) > X0 ) ).
thf(func_def_180,type,
sK111:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_181,type,
sK112:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(f2698,plain,
$false,
inference(subsumption_resolution,[],[f2697,f1591]) ).
thf(f1591,plain,
order(int) = $true,
inference(cnf_transformation,[],[f786]) ).
thf(f786,plain,
order(int) = $true,
inference(fool_elimination,[],[f785]) ).
thf(f785,plain,
order(int),
inference(rectify,[],[f273]) ).
thf(f273,axiom,
order(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oorder_5) ).
thf(f2697,plain,
order(int) != $true,
inference(trivial_inequality_removal,[],[f2682]) ).
thf(f2682,plain,
( ( $true = $false )
| ( order(int) != $true ) ),
inference(superposition,[],[f2677,f2414]) ).
thf(f2414,plain,
! [X0: $tType,X1: X0] :
( ( $false = vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X1),X1) )
| ( order(X0) != $true ) ),
inference(trivial_inequality_removal,[],[f2413]) ).
thf(f2413,plain,
! [X0: $tType,X1: X0] :
( ( $true != $true )
| ( order(X0) != $true )
| ( $false = vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X1),X1) ) ),
inference(superposition,[],[f1366,f296]) ).
thf(f296,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f1366,plain,
! [X0: $tType,X1: X0] :
( ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X1),X1) )
| ( order(X0) != $true ) ),
inference(cnf_transformation,[],[f961]) ).
thf(f961,plain,
! [X0: $tType] :
( ! [X1: X0] : ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X1),X1) )
| ( order(X0) != $true ) ),
inference(ennf_transformation,[],[f832]) ).
thf(f832,plain,
! [X0: $tType] :
( ( order(X0) = $true )
=> ! [X1: X0] : ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X1),X1) ) ),
inference(flattening,[],[f474]) ).
thf(f474,plain,
! [X0: $tType] :
( ( order(X0) = $true )
=> ! [X1: X0] : ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X1),X1) ) ),
inference(fool_elimination,[],[f473]) ).
thf(f473,plain,
! [X0: $tType] :
( order(X0)
=> ! [X1: X0] : ~ vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X1),X1) ),
inference(rectify,[],[f82]) ).
thf(f82,axiom,
! [X0: $tType] :
( order(X0)
=> ! [X38: X0] : ~ vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X38),X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_dual__order_Oirrefl) ).
thf(f2677,plain,
$true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less(int),vAPP(a,int,h,a2)),vAPP(a,int,h,a2)),
inference(forward_demodulation,[],[f1597,f1239]) ).
thf(f1239,plain,
vAPP(a,int,h,a2) = vAPP(a,int,h,b),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
vAPP(a,int,h,a2) = vAPP(a,int,h,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hahb) ).
thf(f1597,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less(int),vAPP(a,int,h,b)),vAPP(a,int,h,a2)) = $true,
inference(cnf_transformation,[],[f798]) ).
thf(f798,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less(int),vAPP(a,int,h,b)),vAPP(a,int,h,a2)) = $true,
inference(fool_elimination,[],[f797]) ).
thf(f797,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less(int),vAPP(a,int,h,b)),vAPP(a,int,h,a2)),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less(int),vAPP(a,int,h,b)),vAPP(a,int,h,a2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP029^2 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 17:42:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (27771)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (27784)WARNING: value z3 for option sas not known
% 0.15/0.39 % (27783)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (27785)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (27784)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)
% 0.15/0.39 % (27787)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)
% 0.15/0.39 % (27788)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)
% 0.15/0.39 % (27782)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (27786)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)
% 0.21/0.44 % (27788)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.46 % Exception at run slice level
% 0.21/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.46 % Exception at run slice level
% 0.21/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.47 % Exception at run slice level
% 0.21/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.49 % (27809)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.49 % (27810)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)
% 0.21/0.50 % (27811)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)
% 0.21/0.53 % (27784)First to succeed.
% 0.21/0.54 % (27784)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27771"
% 0.21/0.54 % (27784)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status ContradictoryAxioms for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (27784)------------------------------
% 0.21/0.54 % (27784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.54 % (27784)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (27784)Memory used [KB]: 2617
% 0.21/0.54 % (27784)Time elapsed: 0.146 s
% 0.21/0.54 % (27784)Instructions burned: 205 (million)
% 0.21/0.54 % (27771)Success in time 0.18 s
%------------------------------------------------------------------------------