TSTP Solution File: LCL947_10 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL947_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Tue May 21 00:37:01 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 251
% Syntax : Number of formulae : 317 ( 11 unt; 231 typ; 0 def)
% Number of atoms : 442 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 444 ( 198 ~; 174 |; 25 &)
% ( 11 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 110 ( 110 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 628 ( 227 >; 401 *; 0 +; 0 <<)
% Number of predicates : 201 ( 200 usr; 9 prp; 0-4 aty)
% Number of functors : 39 ( 39 usr; 3 con; 0-4 aty)
% Number of variables : 170 ( 154 !; 16 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_2,type,
sK1: '$ki_world' ).
tff(func_def_4,type,
sK3: '$ki_world' ).
tff(func_def_5,type,
sK4: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_6,type,
sK5: ( $i * $i * '$ki_world' ) > $i ).
tff(func_def_7,type,
sK6: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_8,type,
sK7: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_9,type,
sK8: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_10,type,
sK9: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_11,type,
sK10: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_12,type,
sK11: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_13,type,
sK12: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_14,type,
sK13: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_15,type,
sK14: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_16,type,
sK15: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_17,type,
sK16: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_18,type,
sK17: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_19,type,
sK18: ( $i * $i * '$ki_world' ) > $i ).
tff(func_def_20,type,
sK19: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_21,type,
sK20: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_22,type,
sK21: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_23,type,
sK22: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_24,type,
sK23: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_25,type,
sK24: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_26,type,
sK25: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_27,type,
sK26: ( $i * $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_28,type,
sK27: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_29,type,
sK28: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_30,type,
sK29: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_31,type,
sK30: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_32,type,
sK31: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_33,type,
sK32: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_34,type,
sK33: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_35,type,
sK34: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_36,type,
sK35: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_37,type,
sK36: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_38,type,
sK37: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_39,type,
sK38: ( $i * $i * '$ki_world' ) > '$ki_world' ).
tff(func_def_40,type,
sK39: '$ki_world' > $i ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
qmltpeq: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
member: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_4,type,
subset: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_5,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(pred_def_6,type,
sP0: ( $i * $i * $i * '$ki_world' ) > $o ).
tff(pred_def_7,type,
sP40: ( '$ki_world' * $i ) > $o ).
tff(pred_def_8,type,
sP41: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_9,type,
sP42: ( '$ki_world' * $i ) > $o ).
tff(pred_def_10,type,
sP43: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_11,type,
sP44: ( '$ki_world' * $i ) > $o ).
tff(pred_def_12,type,
sP45: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_13,type,
sP46: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_14,type,
sP47: ( '$ki_world' * $i ) > $o ).
tff(pred_def_15,type,
sP48: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_16,type,
sP49: ( '$ki_world' * $i ) > $o ).
tff(pred_def_17,type,
sP50: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_18,type,
sP51: ( '$ki_world' * $i ) > $o ).
tff(pred_def_19,type,
sP52: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_20,type,
sP53: ( '$ki_world' * $i ) > $o ).
tff(pred_def_21,type,
sP54: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_22,type,
sP55: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_23,type,
sP56: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_24,type,
sP57: ( '$ki_world' * $i ) > $o ).
tff(pred_def_25,type,
sP58: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_26,type,
sP59: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_27,type,
sP60: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_28,type,
sP61: ( '$ki_world' * $i ) > $o ).
tff(pred_def_29,type,
sP62: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_30,type,
sP63: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_31,type,
sP64: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_32,type,
sP65: ( '$ki_world' * $i ) > $o ).
tff(pred_def_33,type,
sP66: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_34,type,
sP67: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_35,type,
sP68: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_36,type,
sP69: ( '$ki_world' * $i ) > $o ).
tff(pred_def_37,type,
sP70: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_38,type,
sP71: ( '$ki_world' * $i ) > $o ).
tff(pred_def_39,type,
sP72: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_40,type,
sP73: ( '$ki_world' * $i ) > $o ).
tff(pred_def_41,type,
sP74: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_42,type,
sP75: ( '$ki_world' * $i ) > $o ).
tff(pred_def_43,type,
sP76: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_44,type,
sP77: ( '$ki_world' * $i ) > $o ).
tff(pred_def_45,type,
sP78: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_46,type,
sP79: ( '$ki_world' * $i ) > $o ).
tff(pred_def_47,type,
sP80: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_48,type,
sP81: ( '$ki_world' * $i ) > $o ).
tff(pred_def_49,type,
sP82: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_50,type,
sP83: ( '$ki_world' * $i ) > $o ).
tff(pred_def_51,type,
sP84: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_52,type,
sP85: ( '$ki_world' * $i * $i * $i ) > $o ).
tff(pred_def_53,type,
sP86: ( '$ki_world' * $i ) > $o ).
tff(pred_def_54,type,
sP87: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_55,type,
sP88: ( '$ki_world' * $i ) > $o ).
tff(pred_def_56,type,
sP89: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_57,type,
sP90: ( '$ki_world' * $i ) > $o ).
tff(pred_def_58,type,
sP91: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_59,type,
sP92: ( '$ki_world' * $i ) > $o ).
tff(pred_def_60,type,
sP93: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_61,type,
sP94: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_62,type,
sP95: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_63,type,
sP96: ( '$ki_world' * $i ) > $o ).
tff(pred_def_64,type,
sP97: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_65,type,
sP98: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_66,type,
sP99: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_67,type,
sP100: ( '$ki_world' * $i ) > $o ).
tff(pred_def_68,type,
sP101: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_69,type,
sP102: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_70,type,
sP103: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_71,type,
sP104: ( '$ki_world' * $i ) > $o ).
tff(pred_def_72,type,
sP105: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_73,type,
sP106: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_74,type,
sP107: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_75,type,
sP108: ( '$ki_world' * $i ) > $o ).
tff(pred_def_76,type,
sP109: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_77,type,
sP110: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_78,type,
sP111: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_79,type,
sP112: ( '$ki_world' * $i ) > $o ).
tff(pred_def_80,type,
sP113: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_81,type,
sP114: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_82,type,
sP115: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_83,type,
sP116: ( '$ki_world' * $i ) > $o ).
tff(pred_def_84,type,
sP117: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_85,type,
sP118: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_86,type,
sP119: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_87,type,
sP120: ( '$ki_world' * $i ) > $o ).
tff(pred_def_88,type,
sP121: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_89,type,
sP122: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_90,type,
sP123: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_91,type,
sP124: ( '$ki_world' * $i ) > $o ).
tff(pred_def_92,type,
sP125: ( '$ki_world' * $i ) > $o ).
tff(pred_def_93,type,
sP126: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_94,type,
sP127: ( '$ki_world' * $i ) > $o ).
tff(pred_def_95,type,
sP128: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_96,type,
sP129: ( '$ki_world' * $i ) > $o ).
tff(pred_def_97,type,
sP130: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_98,type,
sP131: ( '$ki_world' * $i ) > $o ).
tff(pred_def_99,type,
sP132: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_100,type,
sP133: ( '$ki_world' * $i ) > $o ).
tff(pred_def_101,type,
sP134: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_102,type,
sP135: ( $i * '$ki_world' * '$ki_world' * $i ) > $o ).
tff(pred_def_103,type,
sP136: ( '$ki_world' * $i ) > $o ).
tff(pred_def_104,type,
sP137: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_105,type,
sP138: ( $i * '$ki_world' * '$ki_world' * $i ) > $o ).
tff(pred_def_106,type,
sP139: ( '$ki_world' * $i ) > $o ).
tff(pred_def_107,type,
sP140: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_108,type,
sP141: ( '$ki_world' * '$ki_world' * $i * $i ) > $o ).
tff(pred_def_109,type,
sP142: ( '$ki_world' * $i ) > $o ).
tff(pred_def_110,type,
sP143: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_111,type,
sP144: ( '$ki_world' * '$ki_world' * $i * $i ) > $o ).
tff(pred_def_112,type,
sP145: ( '$ki_world' * $i ) > $o ).
tff(pred_def_113,type,
sP146: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_114,type,
sP147: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_115,type,
sP148: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_116,type,
sP149: ( '$ki_world' * $i ) > $o ).
tff(pred_def_117,type,
sP150: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_118,type,
sP151: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_119,type,
sP152: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_120,type,
sP153: ( '$ki_world' * $i ) > $o ).
tff(pred_def_121,type,
sP154: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_122,type,
sP155: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_123,type,
sP156: ( '$ki_world' * $i ) > $o ).
tff(pred_def_124,type,
sP157: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_125,type,
sP158: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_126,type,
sP159: ( '$ki_world' * $i ) > $o ).
tff(pred_def_127,type,
sP160: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_128,type,
sP161: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_129,type,
sP162: ( '$ki_world' * $i ) > $o ).
tff(pred_def_130,type,
sP163: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_131,type,
sP164: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_132,type,
sP165: ( '$ki_world' * $i ) > $o ).
tff(pred_def_133,type,
sP166: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_134,type,
sP167: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_135,type,
sP168: ( '$ki_world' * $i ) > $o ).
tff(pred_def_136,type,
sP169: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_137,type,
sP170: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_138,type,
sP171: ( '$ki_world' * $i ) > $o ).
tff(pred_def_139,type,
sP172: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_140,type,
sP173: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_141,type,
sP174: ( '$ki_world' * $i ) > $o ).
tff(pred_def_142,type,
sP175: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_143,type,
sP176: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_144,type,
sP177: ( '$ki_world' * $i ) > $o ).
tff(pred_def_145,type,
sP178: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_146,type,
sP179: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_147,type,
sP180: ( '$ki_world' * $i ) > $o ).
tff(pred_def_148,type,
sP181: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_149,type,
sP182: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_150,type,
sP183: ( '$ki_world' * $i ) > $o ).
tff(pred_def_151,type,
sP184: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_152,type,
sP185: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_153,type,
sP186: ( '$ki_world' * $i ) > $o ).
tff(pred_def_154,type,
sP187: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_155,type,
sP188: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_156,type,
sP189: ( '$ki_world' * $i ) > $o ).
tff(pred_def_157,type,
sP190: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_158,type,
sP191: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_159,type,
sP192: ( '$ki_world' * $i ) > $o ).
tff(pred_def_160,type,
sP193: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_161,type,
sP194: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_162,type,
sP195: ( '$ki_world' * $i ) > $o ).
tff(pred_def_163,type,
sP196: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_164,type,
sP197: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_165,type,
sP198: ( '$ki_world' * $i ) > $o ).
tff(pred_def_166,type,
sP199: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_167,type,
sP200: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_168,type,
sP201: ( '$ki_world' * $i ) > $o ).
tff(pred_def_169,type,
sP202: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_170,type,
sP203: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_171,type,
sP204: ( '$ki_world' * $i ) > $o ).
tff(pred_def_172,type,
sP205: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_173,type,
sP206: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_174,type,
sP207: ( '$ki_world' * $i ) > $o ).
tff(pred_def_175,type,
sP208: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_176,type,
sP209: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_177,type,
sP210: ( '$ki_world' * $i ) > $o ).
tff(pred_def_178,type,
sP211: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_179,type,
sP212: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_180,type,
sP213: ( '$ki_world' * $i ) > $o ).
tff(pred_def_181,type,
sP214: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_182,type,
sP215: ( $i * '$ki_world' * '$ki_world' * $i ) > $o ).
tff(pred_def_183,type,
sP216: ( '$ki_world' * $i ) > $o ).
tff(pred_def_184,type,
sP217: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_185,type,
sP218: ( $i * '$ki_world' * '$ki_world' * $i ) > $o ).
tff(pred_def_186,type,
sP219: ( '$ki_world' * $i ) > $o ).
tff(pred_def_187,type,
sP220: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_188,type,
sP221: ( $i * '$ki_world' * '$ki_world' * $i ) > $o ).
tff(pred_def_189,type,
sP222: ( '$ki_world' * $i ) > $o ).
tff(pred_def_190,type,
sP223: ( $i * '$ki_world' * $i ) > $o ).
tff(pred_def_191,type,
sP224: ( $i * '$ki_world' * '$ki_world' * $i ) > $o ).
tff(f1260,plain,
$false,
inference(avatar_sat_refutation,[],[f695,f708,f771,f932,f976,f978,f1256,f1259]) ).
tff(f1259,plain,
spl225_5,
inference(avatar_contradiction_clause,[],[f1257]) ).
tff(f1257,plain,
( $false
| spl225_5 ),
inference(resolution,[],[f770,f146]) ).
tff(f146,plain,
'$ki_accessible'(sK1,sK3),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
( ~ qmltpeq(sK3,union(sK2,sK2),sK2)
& '$ki_accessible'(sK1,sK3)
& '$ki_exists_in_world_$i'(sK1,sK2)
& '$ki_accessible'('$ki_local_world',sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f40,f76,f75,f74]) ).
tff(f74,plain,
( ? [X0: '$ki_world'] :
( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(sK1,X2) )
& '$ki_exists_in_world_$i'(sK1,X1) )
& '$ki_accessible'('$ki_local_world',sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f75,plain,
( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(sK1,X2) )
& '$ki_exists_in_world_$i'(sK1,X1) )
=> ( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(sK2,sK2),sK2)
& '$ki_accessible'(sK1,X2) )
& '$ki_exists_in_world_$i'(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f76,plain,
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(sK2,sK2),sK2)
& '$ki_accessible'(sK1,X2) )
=> ( ~ qmltpeq(sK3,union(sK2,sK2),sK2)
& '$ki_accessible'(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f40,plain,
? [X0: '$ki_world'] :
( ? [X1] :
( ? [X2: '$ki_world'] :
( ~ qmltpeq(X2,union(X1,X1),X1)
& '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f22]) ).
tff(f22,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> qmltpeq(X2,union(X1,X1),X1) ) ) ),
inference(rectify,[],[f21]) ).
tff(f21,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> qmltpeq(X4,union(X11,X11),X11) ) ) ),
inference(negated_conjecture,[],[f20]) ).
tff(f20,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> qmltpeq(X4,union(X11,X11),X11) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f770,plain,
( ~ '$ki_accessible'(sK1,sK3)
| spl225_5 ),
inference(avatar_component_clause,[],[f768]) ).
tff(f768,plain,
( spl225_5
<=> '$ki_accessible'(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl225_5])]) ).
tff(f1256,plain,
( ~ spl225_1
| ~ spl225_6
| ~ spl225_7
| spl225_4 ),
inference(avatar_split_clause,[],[f1239,f764,f929,f925,f689]) ).
tff(f689,plain,
( spl225_1
<=> '$ki_accessible'('$ki_local_world',sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl225_1])]) ).
tff(f925,plain,
( spl225_6
<=> '$ki_accessible'(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl225_6])]) ).
tff(f929,plain,
( spl225_7
<=> '$ki_exists_in_world_$i'(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl225_7])]) ).
tff(f764,plain,
( spl225_4
<=> sP126(sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl225_4])]) ).
tff(f1239,plain,
( ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_accessible'(sK1,sK1)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| spl225_4 ),
inference(duplicate_literal_removal,[],[f1238]) ).
tff(f1238,plain,
( ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_accessible'(sK1,sK1)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| spl225_4 ),
inference(factoring,[],[f1066]) ).
tff(f1066,plain,
( ! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X1,sK2)
| ~ '$ki_exists_in_world_$i'(X0,sK2)
| ~ '$ki_accessible'(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X0,sK1) )
| spl225_4 ),
inference(resolution,[],[f1065,f403]) ).
tff(f403,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( sP125(X2,X1)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2) ),
inference(cnf_transformation,[],[f403_D]) ).
tff(f403_D,plain,
! [X1,X2] :
( ! [X0] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2) )
<=> ~ sP125(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP125])]) ).
tff(f1065,plain,
( ! [X0: '$ki_world'] :
( ~ sP125(X0,sK2)
| ~ '$ki_exists_in_world_$i'(X0,sK2)
| ~ '$ki_accessible'(X0,sK1) )
| spl225_4 ),
inference(resolution,[],[f766,f405]) ).
tff(f405,plain,
! [X2: '$ki_world',X3: $i,X1: $i,X4: '$ki_world'] :
( sP126(X3,X4,X1)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ sP125(X2,X1)
| ~ '$ki_accessible'(X2,X4) ),
inference(cnf_transformation,[],[f405_D]) ).
tff(f405_D,plain,
! [X1,X4,X3] :
( ! [X2] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ sP125(X2,X1)
| ~ '$ki_accessible'(X2,X4) )
<=> ~ sP126(X3,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP126])]) ).
tff(f766,plain,
( ~ sP126(sK2,sK1,sK2)
| spl225_4 ),
inference(avatar_component_clause,[],[f764]) ).
tff(f978,plain,
spl225_7,
inference(avatar_contradiction_clause,[],[f977]) ).
tff(f977,plain,
( $false
| spl225_7 ),
inference(resolution,[],[f931,f145]) ).
tff(f145,plain,
'$ki_exists_in_world_$i'(sK1,sK2),
inference(cnf_transformation,[],[f77]) ).
tff(f931,plain,
( ~ '$ki_exists_in_world_$i'(sK1,sK2)
| spl225_7 ),
inference(avatar_component_clause,[],[f929]) ).
tff(f976,plain,
spl225_6,
inference(avatar_contradiction_clause,[],[f974]) ).
tff(f974,plain,
( $false
| spl225_6 ),
inference(resolution,[],[f927,f148]) ).
tff(f148,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f927,plain,
( ~ '$ki_accessible'(sK1,sK1)
| spl225_6 ),
inference(avatar_component_clause,[],[f925]) ).
tff(f932,plain,
( ~ spl225_1
| ~ spl225_6
| ~ spl225_7
| spl225_3 ),
inference(avatar_split_clause,[],[f879,f760,f929,f925,f689]) ).
tff(f760,plain,
( spl225_3
<=> sP128(sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl225_3])]) ).
tff(f879,plain,
( ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_accessible'(sK1,sK1)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| spl225_3 ),
inference(duplicate_literal_removal,[],[f878]) ).
tff(f878,plain,
( ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_accessible'(sK1,sK1)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| spl225_3 ),
inference(factoring,[],[f814]) ).
tff(f814,plain,
( ! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'(X1,sK2)
| ~ '$ki_exists_in_world_$i'(X0,sK2)
| ~ '$ki_accessible'(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X0,sK1) )
| spl225_3 ),
inference(resolution,[],[f772,f407]) ).
tff(f407,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( sP127(X2,X1)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2) ),
inference(cnf_transformation,[],[f407_D]) ).
tff(f407_D,plain,
! [X1,X2] :
( ! [X0] :
( ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,X2) )
<=> ~ sP127(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP127])]) ).
tff(f772,plain,
( ! [X0: '$ki_world'] :
( ~ sP127(X0,sK2)
| ~ '$ki_exists_in_world_$i'(X0,sK2)
| ~ '$ki_accessible'(X0,sK1) )
| spl225_3 ),
inference(resolution,[],[f762,f409]) ).
tff(f409,plain,
! [X2: '$ki_world',X3: $i,X1: $i,X4: '$ki_world'] :
( sP128(X3,X4,X1)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ sP127(X2,X1)
| ~ '$ki_accessible'(X2,X4) ),
inference(cnf_transformation,[],[f409_D]) ).
tff(f409_D,plain,
! [X1,X4,X3] :
( ! [X2] :
( ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ sP127(X2,X1)
| ~ '$ki_accessible'(X2,X4) )
<=> ~ sP128(X3,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP128])]) ).
tff(f762,plain,
( ~ sP128(sK2,sK1,sK2)
| spl225_3 ),
inference(avatar_component_clause,[],[f760]) ).
tff(f771,plain,
( ~ spl225_3
| ~ spl225_4
| ~ spl225_5
| ~ spl225_2 ),
inference(avatar_split_clause,[],[f716,f693,f768,f764,f760]) ).
tff(f693,plain,
( spl225_2
<=> ! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK22(sK2,sK2,X1))
| ~ sP126(sK2,X1,sK2)
| ~ '$ki_accessible'(X1,sK3)
| ~ '$ki_accessible'(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl225_2])]) ).
tff(f716,plain,
( ~ '$ki_accessible'(sK1,sK3)
| ~ sP126(sK2,sK1,sK2)
| ~ sP128(sK2,sK1,sK2)
| ~ spl225_2 ),
inference(duplicate_literal_removal,[],[f714]) ).
tff(f714,plain,
( ~ '$ki_accessible'(sK1,sK3)
| ~ sP126(sK2,sK1,sK2)
| ~ '$ki_accessible'(sK1,sK3)
| ~ sP128(sK2,sK1,sK2)
| ~ spl225_2 ),
inference(resolution,[],[f710,f621]) ).
tff(f621,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'(X0,sK22(sK2,sK2,X0))
| ~ '$ki_accessible'(X0,sK3)
| ~ sP128(sK2,X0,sK2) ),
inference(resolution,[],[f410,f147]) ).
tff(f147,plain,
~ qmltpeq(sK3,union(sK2,sK2),sK2),
inference(cnf_transformation,[],[f77]) ).
tff(f410,plain,
! [X3: $i,X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5)
| '$ki_accessible'(X4,sK22(X1,X3,X4))
| ~ sP128(X3,X4,X1) ),
inference(general_splitting,[],[f408,f409_D]) ).
tff(f408,plain,
! [X2: '$ki_world',X3: $i,X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5)
| '$ki_accessible'(X4,sK22(X1,X3,X4))
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ sP127(X2,X1) ),
inference(general_splitting,[],[f197,f407_D]) ).
tff(f197,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5)
| '$ki_accessible'(X4,sK22(X1,X3,X4))
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f107]) ).
tff(f107,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ! [X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5) )
| ( ~ subset(sK22(X1,X3,X4),X1,X3)
& '$ki_accessible'(X4,sK22(X1,X3,X4)) )
| ~ '$ki_accessible'(X2,X4) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f105,f106]) ).
tff(f106,plain,
! [X1,X3,X4: '$ki_world'] :
( ? [X6: '$ki_world'] :
( ~ subset(X6,X1,X3)
& '$ki_accessible'(X4,X6) )
=> ( ~ subset(sK22(X1,X3,X4),X1,X3)
& '$ki_accessible'(X4,sK22(X1,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f105,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ! [X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5) )
| ? [X6: '$ki_world'] :
( ~ subset(X6,X1,X3)
& '$ki_accessible'(X4,X6) )
| ~ '$ki_accessible'(X2,X4) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(rectify,[],[f51]) ).
tff(f51,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ! [X6: '$ki_world'] :
( qmltpeq(X6,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X6) )
| ? [X5: '$ki_world'] :
( ~ subset(X5,X1,X3)
& '$ki_accessible'(X4,X5) )
| ~ '$ki_accessible'(X2,X4) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f50]) ).
tff(f50,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( ! [X3] :
( ! [X4: '$ki_world'] :
( ! [X6: '$ki_world'] :
( qmltpeq(X6,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X6) )
| ? [X5: '$ki_world'] :
( ~ subset(X5,X1,X3)
& '$ki_accessible'(X4,X5) )
| ~ '$ki_accessible'(X2,X4) )
| ~ '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X2,X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X2,X4)
=> ( ! [X5: '$ki_world'] :
( '$ki_accessible'(X4,X5)
=> subset(X5,X1,X3) )
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> qmltpeq(X6,union(X1,X3),X3) ) ) ) ) ) ) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X12] :
( '$ki_exists_in_world_$i'(X4,X12)
=> ! [X6: '$ki_world'] :
( '$ki_accessible'(X4,X6)
=> ( ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> subset(X7,X11,X12) )
=> ! [X7: '$ki_world'] :
( '$ki_accessible'(X6,X7)
=> qmltpeq(X7,union(X11,X12),X12) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_union) ).
tff(f710,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'(sK1,sK22(sK2,sK2,X0))
| ~ '$ki_accessible'(X0,sK3)
| ~ sP126(sK2,X0,sK2) )
| ~ spl225_2 ),
inference(resolution,[],[f694,f148]) ).
tff(f694,plain,
( ! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK22(sK2,sK2,X1))
| ~ sP126(sK2,X1,sK2)
| ~ '$ki_accessible'(X1,sK3)
| ~ '$ki_accessible'(sK1,X0) )
| ~ spl225_2 ),
inference(avatar_component_clause,[],[f693]) ).
tff(f708,plain,
spl225_1,
inference(avatar_contradiction_clause,[],[f706]) ).
tff(f706,plain,
( $false
| spl225_1 ),
inference(resolution,[],[f691,f144]) ).
tff(f144,plain,
'$ki_accessible'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f77]) ).
tff(f691,plain,
( ~ '$ki_accessible'('$ki_local_world',sK1)
| spl225_1 ),
inference(avatar_component_clause,[],[f689]) ).
tff(f695,plain,
( ~ spl225_1
| spl225_2 ),
inference(avatar_split_clause,[],[f651,f693,f689]) ).
tff(f651,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X0,sK22(sK2,sK2,X1))
| ~ '$ki_accessible'(sK1,X0)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ '$ki_accessible'(X1,sK3)
| ~ sP126(sK2,X1,sK2) ),
inference(resolution,[],[f639,f145]) ).
tff(f639,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X2,sK22(sK2,sK2,X0))
| ~ '$ki_exists_in_world_$i'(X1,sK2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X0,sK3)
| ~ sP126(sK2,X0,sK2) ),
inference(resolution,[],[f633,f232]) ).
tff(f232,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'(X0,X1) ),
inference(flattening,[],[f70]) ).
tff(f70,plain,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( ( '$ki_accessible'(X1,X2)
& '$ki_accessible'(X0,X1) )
=> '$ki_accessible'(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_transitive) ).
tff(f633,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'(X1,sK22(sK2,sK2,X0))
| ~ sP126(sK2,X0,sK2)
| ~ '$ki_accessible'(X0,sK3)
| ~ '$ki_exists_in_world_$i'(X1,sK2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(resolution,[],[f631,f149]) ).
tff(f149,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: $i] :
( subset(X2,X1,X1)
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2: '$ki_world'] :
( subset(X2,X1,X1)
| ~ '$ki_accessible'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> subset(X2,X1,X1) ) ) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X11] :
( '$ki_exists_in_world_$i'(X0,X11)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> subset(X4,X11,X11) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
tff(f631,plain,
! [X0: '$ki_world'] :
( ~ subset(sK22(sK2,sK2,X0),sK2,sK2)
| ~ '$ki_accessible'(X0,sK3)
| ~ sP126(sK2,X0,sK2) ),
inference(resolution,[],[f406,f147]) ).
tff(f406,plain,
! [X3: $i,X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5)
| ~ subset(sK22(X1,X3,X4),X1,X3)
| ~ sP126(X3,X4,X1) ),
inference(general_splitting,[],[f404,f405_D]) ).
tff(f404,plain,
! [X2: '$ki_world',X3: $i,X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5)
| ~ subset(sK22(X1,X3,X4),X1,X3)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ sP125(X2,X1) ),
inference(general_splitting,[],[f198,f403_D]) ).
tff(f198,plain,
! [X2: '$ki_world',X3: $i,X0: '$ki_world',X1: $i,X4: '$ki_world',X5: '$ki_world'] :
( qmltpeq(X5,union(X1,X3),X3)
| ~ '$ki_accessible'(X4,X5)
| ~ subset(sK22(X1,X3,X4),X1,X3)
| ~ '$ki_accessible'(X2,X4)
| ~ '$ki_exists_in_world_$i'(X2,X3)
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL947_10 : TPTP v8.2.0. Released v8.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 01:50:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (15246)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (15248)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (15250)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (15247)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (15249)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (15252)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (15251)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (15253)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [2,1]
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [2,1]
% 0.14/0.39 TRYING [1,2]
% 0.14/0.40 TRYING [1,2]
% 0.14/0.40 TRYING [3,1]
% 0.14/0.40 TRYING [3,1]
% 0.14/0.40 TRYING [1,1]
% 0.14/0.40 TRYING [1,1]
% 0.14/0.41 TRYING [2,1]
% 0.14/0.41 TRYING [2,1]
% 0.14/0.42 TRYING [1,2]
% 0.14/0.42 TRYING [2,2]
% 0.14/0.42 TRYING [2,2]
% 0.14/0.42 TRYING [1,2]
% 0.14/0.43 % (15249)First to succeed.
% 0.14/0.43 TRYING [3,1]
% 0.14/0.43 % (15249)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15246"
% 0.21/0.43 % (15249)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (15249)------------------------------
% 0.21/0.44 % (15249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (15249)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (15249)Memory used [KB]: 2145
% 0.21/0.44 % (15249)Time elapsed: 0.058 s
% 0.21/0.44 % (15249)Instructions burned: 99 (million)
% 0.21/0.44 % (15246)Success in time 0.066 s
%------------------------------------------------------------------------------