%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : QUA002^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 08:21:25 AM UTC 2026
% Result : Theorem 53.51s 7.94s
% Output : Refutation 53.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 43 unt; 0 typ; 2 def)
% Number of atoms : 451 ( 209 equ; 2 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 386 ( 46 ~; 84 |; 12 &; 234 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 228 ( 223 usr; 10 con; 0-4 aty)
% ( 0 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 237 ( 72 sgn 50 !; 6 ?; 237 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
emptyset: $i > $o ).
thf(func_def_1,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
singleton: $i > $i > $o ).
thf(func_def_5,type,
sup: ( $i > $o ) > $i ).
thf(func_def_6,type,
supset: ( ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_7,type,
unionset: ( ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_8,type,
addition: $i > $i > $i ).
thf(func_def_9,type,
leq: $i > $i > $o ).
thf(func_def_10,type,
multiplication: $i > $i > $i ).
thf(func_def_11,type,
crossmult: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_16,type,
vOR: $o > $o > $o ).
thf(func_def_17,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_21,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_22,type,
vAND: $o > $o > $o ).
thf(func_def_23,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
vNOT: $o > $o ).
thf(func_def_29,type,
sK3: ( $i > $o ) > $i ).
thf(func_def_30,type,
sK4: ( $i > $o ) > $i > $i ).
thf(func_def_31,type,
sK5: ( $i > $o ) > $i ).
thf(func_def_32,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_33,type,
sK7: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_34,type,
sK8: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_35,type,
sK9: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_36,type,
sK10: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_37,type,
sK11: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_38,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_39,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_40,type,
sK14: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_41,type,
sK15: ( $i > $o ) > $i ).
thf(func_def_42,type,
sK16: ( $i > $o ) > $i ).
thf(func_def_43,type,
sK17: ( $i > $o ) > $i > $i ).
thf(func_def_44,type,
sK18: $i > ( $i > $o ) > $i ).
thf(func_def_45,type,
sK19: $i > ( $i > $o ) > $i ).
thf(func_def_46,type,
sK20: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_47,type,
sK21: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_48,type,
sK22: ( $i > $o ) > $i > $i ).
thf(func_def_49,type,
sK23: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_50,type,
sK24: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_51,type,
sK25: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_52,type,
sK26: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_53,type,
sK27: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_54,type,
sK28: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_55,type,
sK29: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_56,type,
sK30: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_57,type,
sK31: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_58,type,
sK32: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_59,type,
sK33: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_60,type,
sK34: ( $i > $o ) > $i ).
thf(func_def_61,type,
sK35: ( $i > $o ) > $i ).
thf(func_def_62,type,
sK36: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_63,type,
sK37: ( $i > $o ) > $i ).
thf(func_def_64,type,
sK38: ( $i > $o ) > $i ).
thf(func_def_65,type,
sK39: ( $i > $o ) > $i > $i ).
thf(func_def_66,type,
sK40: $i > ( $i > $o ) > $i ).
thf(func_def_67,type,
sK41: $i > ( $i > $o ) > $i ).
thf(func_def_68,type,
sK42: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_69,type,
sK43: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_70,type,
sK44: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_71,type,
sK45: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_72,type,
sK46: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_73,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_74,type,
sK47: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_75,type,
sK48: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_76,type,
sK49: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_77,type,
sK50: ( $i > $o ) > $i ).
thf(func_def_78,type,
sK51: ( $i > $o ) > $i ).
thf(func_def_79,type,
sK52: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_80,type,
sK53: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_81,type,
sK54: ( $i > $i ) > $i ).
thf(func_def_82,type,
sK55: ( $i > $i ) > $i ).
thf(func_def_83,type,
sK56: ( $i > $o ) > $i ).
thf(func_def_84,type,
sK57: ( $i > $i ) > ( $i > $o ) > $i ).
thf(func_def_85,type,
sK58: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(func_def_86,type,
sK59: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_87,type,
sK60: ( $i > $i ) > $i ).
thf(func_def_88,type,
sK61: $i > ( $i > $o ) > $i ).
thf(func_def_89,type,
sK62: ( $i > $i ) > $i ).
thf(func_def_90,type,
sK63: $i > ( $i > $o ) > $i ).
thf(func_def_91,type,
sK64: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_92,type,
sK65: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_93,type,
sK66: ( $i > $i ) > ( $i > $o ) > $i ).
thf(func_def_94,type,
sK67: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_95,type,
sK68: ( $i > $i ) > ( $i > $i ) > $i ).
thf(func_def_96,type,
sK69: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_97,type,
sK70: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_98,type,
sK71: ( $i > $o ) > $i > $i ).
thf(func_def_99,type,
sK72: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_100,type,
sK73: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_101,type,
sK74: ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_102,type,
sK75: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_103,type,
sK76: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_104,type,
sK77: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_105,type,
sK78: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_106,type,
sK79: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_107,type,
sK80: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_108,type,
sK81: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_109,type,
sK82: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_110,type,
sK83: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_111,type,
sK84: ( $i > $i ) > ( $i > $o ) > $i ).
thf(func_def_112,type,
sK85: ( $i > ( $i > $o ) > $i ) > $i ).
thf(func_def_113,type,
sK86: ( $i > ( $i > $o ) > $i ) > $i ).
thf(func_def_114,type,
sK87: ( $i > $i ) > ( $i > $o ) > $i ).
thf(func_def_115,type,
sK88: ( $i > $i ) > ( $i > $o ) > $i > $i ).
thf(func_def_116,type,
sK89: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_117,type,
sK90: ( $i > ( $i > $o ) > $i ) > $i ).
thf(func_def_118,type,
sK91: ( $i > $i ) > ( $i > $i ) > $i ).
thf(func_def_119,type,
sK92: ( $i > $i ) > $i > ( $i > $o ) > $i ).
thf(func_def_120,type,
sK93: ( $i > $o ) > $i ).
thf(func_def_121,type,
sK94: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_122,type,
sK95: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_123,type,
sK96: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_124,type,
sK97: ( $i > $i > $i > $i ) > $i ).
thf(func_def_125,type,
sK98: ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_126,type,
sK99: ( $i > $i ) > ( $i > $i ) > $i ).
thf(func_def_127,type,
sK100: ( $i > ( $i > $o ) > $i ) > $i ).
thf(func_def_128,type,
sK101: ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_129,type,
sK102: ( $i > ( $i > $o ) > $i ) > $i ).
thf(func_def_130,type,
sK103: ( $i > ( $i > $o ) > $i ) > $i ).
thf(func_def_131,type,
sK104: ( $i > ( $i > $o ) > $i ) > $i > $o ).
thf(func_def_132,type,
sK105: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_133,type,
sK106: ( $i > $i > $i > $i ) > $i ).
thf(func_def_134,type,
sK107: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_135,type,
sK108: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_136,type,
sK109: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_137,type,
sK110: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_138,type,
sK111: ( $i > $o ) > $i ).
thf(func_def_139,type,
sK112: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_140,type,
sK113: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_141,type,
sK114: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_142,type,
sK115: ( $i > $i > $i > $i ) > $i ).
thf(func_def_143,type,
sK116: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(func_def_144,type,
sK117: ( ( $i > $o ) > $o ) > ( $i > $i ) > $i ).
thf(func_def_145,type,
sK118: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_146,type,
sK119: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_147,type,
sK120: ( $i > $o ) > $i ).
thf(func_def_148,type,
sK121: ( $i > $i > $i > $i ) > $i ).
thf(func_def_149,type,
sK122: ( ( $i > $o ) > $o ) > ( $i > $i ) > $i ).
thf(func_def_150,type,
sK123: ( $i > ( $i > $o ) > $o ) > ( $i > ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_151,type,
sK124: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_152,type,
sK125: $i > ( $i > $o ) > $i ).
thf(func_def_153,type,
sK126: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $i > $o ) > $i ).
thf(func_def_154,type,
sK127: ( $i > ( $i > $o ) > $o ) > ( $i > ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_155,type,
sK128: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_156,type,
sK129: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_157,type,
sK130: ( $i > ( $i > $o ) > $o ) > ( $i > $i ) > ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_158,type,
sK131: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_159,type,
sK132: ( $i > $o ) > ( $i > $i > $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_160,type,
sK133: ( $i > $o ) > ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_161,type,
sK134: ( $i > ( $i > $o ) > $o ) > ( $i > ( $i > $o ) > $o ) > ( $i > $i ) > $i ).
thf(func_def_162,type,
sK135: ( $i > $o ) > ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_163,type,
sK136: ( $i > $i ) > $i ).
thf(func_def_164,type,
sK137: ( $i > $i ) > $i ).
thf(func_def_165,type,
sK138: ( $i > $o ) > $i > $i ).
thf(func_def_166,type,
sK139: ( $i > $i ) > $i ).
thf(func_def_167,type,
sK140: ( $i > $i ) > $i ).
thf(func_def_168,type,
sK141: ( $i > $i ) > $i ).
thf(func_def_169,type,
sK142: ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_170,type,
sK143: ( $i > $i ) > $i ).
thf(func_def_171,type,
sK144: ( $i > $i ) > $i ).
thf(func_def_172,type,
sK145: ( $i > $i ) > ( $i > $o ) > $i ).
thf(func_def_173,type,
sK146: ( $i > $i ) > ( $i > $i ) > $i ).
thf(func_def_174,type,
sK147: ( $i > $i ) > ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_175,type,
sK148: ( $i > $o ) > ( $i > $i ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_176,type,
sK149: ( $i > $i ) > ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_177,type,
sK150: ( $i > $o ) > ( $i > $i ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_178,type,
sK151: ( $i > $o ) > $i ).
thf(func_def_179,type,
sK152: ( ( $i > $o ) > $o ) > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_180,type,
sK153: ( $i > $o ) > $i ).
thf(func_def_181,type,
sK154: ( ( $i > $o ) > $o ) > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_182,type,
sK155: ( $i > $o ) > $i ).
thf(func_def_183,type,
sK156: ( $i > $o ) > $i ).
thf(func_def_184,type,
sK157: ( $i > $i ) > $i ).
thf(func_def_185,type,
sK158: $i > ( $i > $o ) > $i ).
thf(func_def_186,type,
sK159: ( $i > $o ) > $i > $i ).
thf(func_def_187,type,
sK160: ( $i > $o ) > $i ).
thf(func_def_188,type,
sK161: ( $i > $o ) > $i ).
thf(func_def_189,type,
sK162: ( $i > $o ) > $i > $i ).
thf(func_def_190,type,
sK163: $i > ( $i > $o ) > $i ).
thf(func_def_191,type,
sK164: ( $i > $o ) > $i ).
thf(func_def_192,type,
sK165: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_193,type,
sK166: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_194,type,
sK167: ( $i > $o ) > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_195,type,
sK168: ( $i > $i ) > $i ).
thf(func_def_196,type,
sK169: ( $i > $i ) > $i ).
thf(func_def_197,type,
sK170: ( $i > $o ) > $i ).
thf(func_def_198,type,
sK171: ( $i > $o ) > $i ).
thf(func_def_199,type,
sK172: ( $i > $o ) > $i ).
thf(func_def_200,type,
sK173: ( $i > $o ) > $i ).
thf(func_def_201,type,
sK174: ( $i > $i ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i ) > $i ).
thf(func_def_202,type,
sK175: ( $i > $o ) > $i ).
thf(func_def_203,type,
sK176: ( $i > $i ) > $i ).
thf(func_def_204,type,
sK177: ( $i > $i ) > $i ).
thf(func_def_205,type,
sK178: ( $i > $o ) > $i ).
thf(func_def_206,type,
sK179: ( $i > $o ) > $i ).
thf(func_def_207,type,
sK180: ( $i > $o ) > $i ).
thf(func_def_208,type,
sK181: ( $i > $i ) > $i ).
thf(func_def_209,type,
sK182: ( $i > $o ) > $i ).
thf(func_def_210,type,
sK183: ( $i > $i ) > $i ).
thf(func_def_211,type,
sK184: $i > $i ).
thf(func_def_212,type,
sK185: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_213,type,
sK186: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_214,type,
sK187: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_215,type,
sK188: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_216,type,
sK189: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_217,type,
sK190: ( $i > $o ) > ( ( $i > $o ) > $o ) > $i ).
thf(func_def_218,type,
sK191: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_219,type,
sK192: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_220,type,
sK193: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_221,type,
sK194: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(func_def_222,type,
sK195: ( $i > ( $i > $o ) > $o ) > $i ).
thf(func_def_223,type,
sK196: ( ( $i > $o ) > $o ) > ( $i > $o ) > $i ).
thf(f2,axiom,
( union
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/QUA001^0.ax',union_def) ).
thf(f3,axiom,
( singleton
= ( ^ [X0: $i,X1: $i] : ( X1 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/QUA001^0.ax',singleton_def) ).
thf(f5,axiom,
! [X0: $i] :
( ( sup @ ( singleton @ X0 ) )
= X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/QUA001^0.ax',sup_singleset) ).
thf(f9,axiom,
( addition
= ( ^ [X0: $i,X1: $i] : ( sup @ ( union @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/QUA001^0.ax',addition_def) ).
thf(f11,axiom,
( crossmult
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
? [X3: $i,X4: $i] :
( ( X2
= ( multiplication @ X3 @ X4 ) )
& ( X1 @ X4 )
& ( X0 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/QUA001^0.ax',crossmult_def) ).
thf(f12,axiom,
! [X0: $i > $o,X1: $i > $o] :
( ( multiplication @ ( sup @ X0 ) @ ( sup @ X1 ) )
= ( sup @ ( crossmult @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/QUA001^0.ax',multiplication_def) ).
thf(f13,axiom,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/QUA001^0.ax',multiplication_neutral_right) ).
thf(f15,conjecture,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ X1 )
= ( addition @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_comm) ).
thf(f16,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( addition @ X0 @ X1 )
= ( addition @ X1 @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
thf(f18,plain,
( union
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f19,plain,
( union
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f18]) ).
thf(f20,plain,
( singleton
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f25,plain,
( addition
= ( ^ [Y0: $i,Y1: $i] : ( sup @ ( union @ ( singleton @ Y0 ) @ ( singleton @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f28,plain,
( crossmult
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
? [X3: $i,X4: $i] :
( ( X2
= ( multiplication @ X3 @ X4 ) )
& ( X1 @ X4 )
& ( X0 @ X3 ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f29,plain,
( crossmult
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y4 )
& ( Y1 @ Y3 )
& ( ( multiplication @ Y4 @ Y3 )
= Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f30,plain,
? [X0: $i,X1: $i] :
( ( addition @ X0 @ X1 )
!= ( addition @ X1 @ X0 ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f32,plain,
( ( addition @ sK0 @ sK1 )
!= ( addition @ sK1 @ sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f30]) ).
thf(f34,plain,
( union
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f35,plain,
( singleton
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f37,plain,
! [X0: $i] :
( ( sup @ ( singleton @ X0 ) )
= X0 ),
inference(cnf_transformation,[],[f5]) ).
thf(f41,plain,
( addition
= ( ^ [Y0: $i,Y1: $i] : ( sup @ ( union @ ( singleton @ Y0 ) @ ( singleton @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f44,plain,
( crossmult
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y4 )
& ( Y1 @ Y3 )
& ( ( multiplication @ Y4 @ Y3 )
= Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f45,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( multiplication @ ( sup @ X0 ) @ ( sup @ X1 ) )
= ( sup @ ( crossmult @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f46,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf_transformation,[],[f13]) ).
thf(f48,plain,
( ( addition @ sK0 @ sK1 )
!= ( addition @ sK1 @ sK0 ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f51,plain,
( addition
= ( ^ [Y0: $i,Y1: $i] :
( sup
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ Y0 )
@ ( ^ [Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f41,f34,f35,f35]) ).
thf(f53,plain,
! [X0: $i] :
( ( sup
@ ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X0 ) )
= X0 ),
inference(definition_unfolding,[],[f37,f35]) ).
thf(f57,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( multiplication @ ( sup @ X0 ) @ ( sup @ X1 ) )
= ( sup
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y4 )
& ( Y1 @ Y3 )
& ( ( multiplication @ Y4 @ Y3 )
= Y2 ) ) ) )
@ X0
@ X1 ) ) ),
inference(definition_unfolding,[],[f45,f44]) ).
thf(f58,plain,
( ( ^ [Y0: $i,Y1: $i] :
( sup
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ Y0 )
@ ( ^ [Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ Y1 ) ) )
@ sK0
@ sK1 )
!= ( ^ [Y0: $i,Y1: $i] :
( sup
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ Y0 )
@ ( ^ [Y2: $i,Y3: $i] : ( Y2 = Y3 )
@ Y1 ) ) )
@ sK1
@ sK0 ) ),
inference(definition_unfolding,[],[f48,f51,f51]) ).
thf(f59,plain,
( ( sup
@ ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) ) )
!= ( sup
@ ^ [Y0: $i] :
( ( sK1 = Y0 )
| ( sK0 = Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f58]) ).
thf(f60,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( multiplication @ ( sup @ X0 ) @ ( sup @ X1 ) )
= ( sup
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( X0 @ Y2 )
& ( X1 @ Y1 )
& ( ( multiplication @ Y2 @ Y1 )
= Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f57]) ).
thf(f64,plain,
! [X0: $i] :
( ( sup @ ( (=) @ X0 ) )
= X0 ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f158,plain,
! [X2: $i > $o,X3: $i > $o,X0: $i > $o,X1: $i > $o] :
( ( ( multiplication @ ( sup @ X0 ) @ ( sup @ X1 ) )
= ( multiplication @ ( sup @ X2 ) @ ( sup @ X3 ) ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X2 ) )
| ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( X1 @ Y1 ) )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( X3 @ Y1 ) ) ) ),
inference(constrained_superposition,[],[f60,f60]) ).
thf(f570,plain,
! [X2: $i > $o,X3: $i > $o,X0: $i,X1: $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( X3 @ Y1 ) )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( X0 = Y1 ) ) )
| ( ( multiplication @ ( sup @ X2 ) @ ( sup @ X3 ) )
= ( multiplication @ ( sup @ X1 ) @ X0 ) )
| ( ( ^ [Y0: $i,Y1: $i] : X2 )
!= ( ^ [Y0: $i,Y1: $i] : X1 ) ) ),
inference(constrained_superposition,[],[f158,f64]) ).
thf(f1130,plain,
! [X2: $i > $o,X3: $i,X0: $i > $o,X1: $i > $i] :
( ( ( multiplication @ ( sup @ X2 ) @ X3 )
= ( multiplication @ ( sup @ X0 )
@ ( sup
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
= ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X2 ) )
| ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( X1 @ Y1 ) )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : X3 ) ) ),
inference(equality_resolution,[],[f570]) ).
thf(f1131,plain,
! [X2: $i > $o,X3: $i,X0: $i > $o,X1: $i > $i] :
( ( ( multiplication @ ( sup @ X2 ) @ X3 )
= ( multiplication @ ( sup @ X0 )
@ ( sup
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
= Y0 ) ) ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X2 ) )
| ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( X1 @ Y1 ) )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : X3 ) ) ),
inference(beta-eta_normalization,[],[f1130]) ).
thf(f2428,plain,
! [X2: $i > $i,X0: $i > $o,X1: $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( X2 @ Y1 ) )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : one ) )
| ( ( sup @ X0 )
= ( multiplication @ ( sup @ X1 )
@ ( sup
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
= Y0 ) ) ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X1 ) ) ),
inference(constrained_superposition,[],[f1131,f46]) ).
thf(f12662,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( ( sup @ X0 )
= ( multiplication @ ( sup @ X1 )
@ ( sup
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : one
@ Y0 )
= Y0 ) ) ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X1 ) ) ),
inference(equality_resolution,[],[f2428]) ).
thf(f12663,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( ( sup @ X0 )
= ( multiplication @ ( sup @ X1 ) @ ( sup @ ( (=) @ one ) ) ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X1 ) ) ),
inference(beta-eta_normalization,[],[f12662]) ).
thf(f12665,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( ( sup @ X0 )
= ( multiplication @ ( sup @ X1 ) @ one ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X1 ) ) ),
inference(forward_demodulation,[],[f12663,f64]) ).
thf(f12666,plain,
! [X0: $i > $o,X1: $i > $o] :
( ( ( sup @ X0 )
= ( sup @ X1 ) )
| ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] : X1 ) ) ),
inference(forward_demodulation,[],[f12665,f46]) ).
thf(f14432,plain,
! [X0: $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( ( sK1 = Y2 )
| ( sK0 = Y2 ) ) ) )
| ( ( sup @ X0 )
!= ( sup
@ ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) ) ) ) ),
inference(constrained_superposition,[],[f59,f12666]) ).
thf(f15621,plain,
! [X0: $i > $o] :
( ( ( ^ [Y0: $i,Y1: $i] : X0
@ ( sK164 @ X0 ) )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( ( sK1 = Y2 )
| ( sK0 = Y2 ) )
@ ( sK164 @ X0 ) ) )
| ( ( sup @ X0 )
!= ( sup
@ ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) ) ) ) ),
inference(negative_extensionality,[],[f14432]) ).
thf(f15624,plain,
! [X0: $i > $o] :
( ( ( ^ [Y0: $i] : X0 )
!= ( ^ [Y0: $i,Y1: $i] :
( ( sK1 = Y1 )
| ( sK0 = Y1 ) ) ) )
| ( ( sup @ X0 )
!= ( sup
@ ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f15621]) ).
thf(f15727,plain,
! [X0: $i > $o] :
( ( ( ^ [Y0: $i] : X0
@ ( sK175 @ X0 ) )
!= ( ^ [Y0: $i,Y1: $i] :
( ( sK1 = Y1 )
| ( sK0 = Y1 ) )
@ ( sK175 @ X0 ) ) )
| ( ( sup @ X0 )
!= ( sup
@ ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) ) ) ) ),
inference(negative_extensionality,[],[f15624]) ).
thf(f15730,plain,
! [X0: $i > $o] :
( ( ( sup @ X0 )
!= ( sup
@ ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) ) ) )
| ( ( ^ [Y0: $i] :
( ( sK1 = Y0 )
| ( sK0 = Y0 ) ) )
!= X0 ) ),
inference(beta-eta_normalization,[],[f15727]) ).
thf(f16800,plain,
( ( ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) ) )
!= ( ^ [Y0: $i] :
( ( sK1 = Y0 )
| ( sK0 = Y0 ) ) ) ),
inference(equality_resolution,[],[f15730]) ).
thf(f18343,plain,
( ( ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
@ sK197 )
!= ( ^ [Y0: $i] :
( ( sK1 = Y0 )
| ( sK0 = Y0 ) )
@ sK197 ) ),
inference(negative_extensionality,[],[f16800]) ).
thf(f18344,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
@ sK197 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( sK1 = Y0 )
| ( sK0 = Y0 ) )
@ sK197 ) ) ),
inference(xor_proxy_clausification,[],[f18343]) ).
thf(f18345,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
@ sK197 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK1 = Y0 )
| ( sK0 = Y0 ) )
@ sK197 ) ) ),
inference(xor_proxy_clausification,[],[f18343]) ).
thf(f18346,plain,
( ( $false
= ( ( sK0 = sK197 )
| ( sK1 = sK197 ) ) )
| ( $false
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) ) ),
inference(beta-eta_normalization,[],[f18345]) ).
thf(f18347,plain,
( ( $false
= ( sK1 = sK197 ) )
| ( $false
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) ) ),
inference(or_proxy_clausification,[],[f18346]) ).
thf(f18348,plain,
( ( $false
= ( sK0 = sK197 ) )
| ( $false
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) ) ),
inference(or_proxy_clausification,[],[f18346]) ).
thf(f18349,plain,
( ( sK0 != sK197 )
| ( $false
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) ) ),
inference(equality_proxy_clausification,[],[f18348]) ).
thf(f18350,plain,
( ( sK0 != sK197 )
| ( $false
= ( sK0 = sK197 ) ) ),
inference(or_proxy_clausification,[],[f18349]) ).
thf(f18353,plain,
( ( sK0 != sK197 )
| ( sK0 != sK197 ) ),
inference(equality_proxy_clausification,[],[f18350]) ).
thf(f18354,plain,
sK0 != sK197,
inference(duplicate_literal_removal,[],[f18353]) ).
thf(f18355,plain,
( ( sK1 != sK197 )
| ( $false
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) ) ),
inference(equality_proxy_clausification,[],[f18347]) ).
thf(f18357,plain,
( ( sK1 != sK197 )
| ( $false
= ( sK1 = sK197 ) ) ),
inference(or_proxy_clausification,[],[f18355]) ).
thf(f18358,plain,
( ( sK1 != sK197 )
| ( sK1 != sK197 ) ),
inference(equality_proxy_clausification,[],[f18357]) ).
thf(f18359,plain,
sK1 != sK197,
inference(duplicate_literal_removal,[],[f18358]) ).
thf(f18361,plain,
( ( $true
= ( ( sK0 = sK197 )
| ( sK1 = sK197 ) ) )
| ( $true
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) ) ),
inference(beta-eta_normalization,[],[f18344]) ).
thf(f18362,plain,
( ( $true
= ( sK1 = sK197 ) )
| ( $true
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) )
| ( $true
= ( sK0 = sK197 ) ) ),
inference(or_proxy_clausification,[],[f18361]) ).
thf(f18363,plain,
( ( sK1 = sK197 )
| ( $true
= ( ( sK1 = sK197 )
| ( sK0 = sK197 ) ) )
| ( $true
= ( sK0 = sK197 ) ) ),
inference(equality_proxy_clausification,[],[f18362]) ).
thf(f18364,plain,
( ( sK1 = sK197 )
| ( $true
= ( sK0 = sK197 ) )
| ( $true
= ( sK0 = sK197 ) )
| ( $true
= ( sK1 = sK197 ) ) ),
inference(or_proxy_clausification,[],[f18363]) ).
thf(f18365,plain,
( ( sK1 = sK197 )
| ( sK0 = sK197 )
| ( sK0 = sK197 )
| ( $true
= ( sK1 = sK197 ) ) ),
inference(equality_proxy_clausification,[],[f18364]) ).
thf(f18366,plain,
( ( sK1 = sK197 )
| ( sK0 = sK197 )
| ( sK0 = sK197 )
| ( sK1 = sK197 ) ),
inference(equality_proxy_clausification,[],[f18365]) ).
thf(f18367,plain,
( ( sK1 = sK197 )
| ( sK0 = sK197 ) ),
inference(duplicate_literal_removal,[],[f18366]) ).
thf(f18378,definition,
( spl2_621
<=> ( sK1 = sK197 ) ),
introduced(definition,[new_symbols(definition,[spl2_621])],[avatar_definition]) ).
thf(f18382,definition,
( spl2_622
<=> ( sK0 = sK197 ) ),
introduced(definition,[new_symbols(definition,[spl2_622])],[avatar_definition]) ).
thf(f18386,plain,
~ spl2_621,
inference(avatar_split_clause,[],[f18359,f18378]) ).
thf(f18388,plain,
( spl2_622
| spl2_621 ),
inference(avatar_split_clause,[],[f18367,f18378,f18382]) ).
thf(f18389,plain,
~ spl2_622,
inference(avatar_split_clause,[],[f18354,f18382]) ).
cnf(s1148,plain,
~ spl2_621,
inference(sat_conversion,[],[f18386]) ).
cnf(s1150,plain,
( spl2_621
| spl2_622 ),
inference(sat_conversion,[],[f18388]) ).
cnf(s1151,plain,
~ spl2_622,
inference(sat_conversion,[],[f18389]) ).
cnf(s1152,plain,
spl2_621,
inference(rat,[],[s1150,s1151]) ).
cnf(s1153,plain,
$false,
inference(rat,[],[s1148,s1152]) ).
thf(f18390,plain,
$false,
inference(avatar_sat_refutation,[],[s1153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : QUA002^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n026.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Tue Sep 29 13:31:51 UTC 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.30/0.35 Running first-order model finding
% 0.30/0.35 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
% 7.29/1.53 % (584351)Will run a generic schedule for satisfiability detection.
% 7.29/1.53 % (584358)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1892828854:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.29/1.53 % (584357)% WARNING: option uhcvi not known.
% 7.29/1.53 % (584356)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2588875787_2999 on theBenchmark for (2999ds/0Mi)
% 7.29/1.53 % (584357)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3447143636:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.29/1.53 % (584359)dis+10_1_sil=32000:sp=arity:random_seed=1289306410:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.29/1.53 % (584360)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1351225223:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.29/1.53 % (584362)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1050424361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.29/1.53 % (584357)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.29/1.53 % (584361)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1665374348:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.29/1.53 % (584360)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.29/1.53 % Exception at run slice level
% 7.29/1.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.53 % (584357)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.29/1.53 % (584370)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2779011161:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.29/1.53 % Exception at run slice level
% 7.29/1.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.53 % (584359)Instruction limit reached!
% 7.29/1.53 % (584359)------------------------------
% 7.29/1.53 % (584359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.53 % (584359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.53 % (584359)CaDiCaL version: 2.1.3
% 7.29/1.53 % (584359)Termination reason: Instruction limit
% 7.29/1.53 % (584359)Termination phase: Saturation
% 7.29/1.53 % (584359)Time elapsed: 0.090 s
% 7.29/1.53 % (584359)Peak memory usage: 12 MB
% 7.29/1.53 % (584359)Instructions burned: 103 (million)
% 7.29/1.53 % (584360)Instruction limit reached!
% 7.29/1.53 % (584360)------------------------------
% 7.29/1.53 % (584360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.53 % (584360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.53 % (584360)CaDiCaL version: 2.1.3
% 7.29/1.53 % (584360)Termination reason: Instruction limit
% 7.29/1.53 % (584360)Termination phase: Saturation
% 7.29/1.53 % (584360)Time elapsed: 0.097 s
% 7.29/1.53 % (584360)Peak memory usage: 12 MB
% 7.29/1.53 % (584360)Instructions burned: 117 (million)
% 7.29/1.53 % (584372)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=329604203:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.29/1.53 % (584361)Instruction limit reached!
% 7.29/1.53 % (584361)------------------------------
% 7.29/1.53 % (584361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.53 % (584361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.53 % (584361)CaDiCaL version: 2.1.3
% 7.29/1.53 % (584361)Termination reason: Instruction limit
% 7.29/1.53 % (584361)Termination phase: Saturation
% 7.29/1.53 % (584361)Time elapsed: 0.115 s
% 7.29/1.53 % (584361)Peak memory usage: 12 MB
% 7.29/1.53 % (584361)Instructions burned: 132 (million)
% 7.29/1.53 % (584375)ott-21_1_sil=16000:fs=off:random_seed=3757558257:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.29/1.53 % (584362)Instruction limit reached!
% 7.29/1.53 % (584362)------------------------------
% 7.29/1.53 % (584362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.53 % (584362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.53 % (584362)CaDiCaL version: 2.1.3
% 7.29/1.53 % (584362)Termination reason: Instruction limit
% 7.29/1.53 % (584362)Termination phase: Saturation
% 7.29/1.53 % (584362)Time elapsed: 0.141 s
% 7.29/1.53 % (584362)Peak memory usage: 13 MB
% 7.29/1.53 % (584362)Instructions burned: 159 (million)
% 31.88/5.14 % (584373)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=1437448336:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 31.88/5.14 % (584373)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 31.88/5.14 % (584376)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1668491084:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 31.88/5.14 % (584373)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 31.88/5.14 % (584378)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3749352142:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 31.88/5.14 % Exception at run slice level
% 31.88/5.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.88/5.14 % (584382)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3966449415:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 31.88/5.14 % (584372)Instruction limit reached!
% 31.88/5.14 % (584372)------------------------------
% 31.88/5.14 % (584372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.88/5.14 % (584372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.88/5.14 % (584372)CaDiCaL version: 2.1.3
% 31.88/5.14 % (584372)Termination reason: Instruction limit
% 31.88/5.14 % (584372)Termination phase: Saturation
% 31.88/5.14 % (584372)Time elapsed: 0.120 s
% 31.88/5.14 % (584372)Peak memory usage: 12 MB
% 31.88/5.14 % (584372)Instructions burned: 132 (million)
% 31.88/5.14 % (584384)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=742614068:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 31.88/5.14 % Exception at run slice level
% 31.88/5.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.88/5.14 % (584375)Instruction limit reached!
% 31.88/5.14 % (584375)------------------------------
% 31.88/5.14 % (584375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.88/5.14 % (584375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.88/5.14 % (584375)CaDiCaL version: 2.1.3
% 31.88/5.14 % (584375)Termination reason: Instruction limit
% 31.88/5.14 % (584375)Termination phase: Saturation
% 31.88/5.14 % (584375)Time elapsed: 0.145 s
% 31.88/5.14 % (584375)Peak memory usage: 12 MB
% 31.88/5.14 % (584375)Instructions burned: 180 (million)
% 31.88/5.14 % (584386)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=3805495812:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 31.88/5.14 % (584386)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 31.88/5.14 % (584387)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=165621818:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 31.88/5.14 % (584387)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 31.88/5.14 % (584376)Instruction limit reached!
% 31.88/5.14 % (584376)------------------------------
% 31.88/5.14 % (584376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.88/5.14 % (584376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.88/5.14 % (584376)CaDiCaL version: 2.1.3
% 31.88/5.14 % (584376)Termination reason: Instruction limit
% 31.88/5.14 % (584376)Termination phase: Saturation
% 31.88/5.14 % (584376)Time elapsed: 0.432 s
% 31.88/5.14 % (584376)Peak memory usage: 13 MB
% 31.88/5.14 % (584376)Instructions burned: 477 (million)
% 31.88/5.14 % (584390)fmb+10_1_sil=64000:random_seed=1528783068:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 31.88/5.14 % (584390)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 31.88/5.14 % Exception at run slice level
% 31.88/5.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.88/5.14 % (584392)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=172308393:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 31.88/5.14 % Exception at run slice level
% 31.88/5.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.88/5.14 % (584394)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1079214250:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584373)Instruction limit reached!
% 53.51/7.94 % (584373)------------------------------
% 53.51/7.94 % (584373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584373)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584373)Termination reason: Instruction limit
% 53.51/7.94 % (584373)Termination phase: Saturation
% 53.51/7.94 % (584373)Time elapsed: 0.566 s
% 53.51/7.94 % (584373)Peak memory usage: 14 MB
% 53.51/7.94 % (584373)Instructions burned: 684 (million)
% 53.51/7.94 % (584396)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1302209617:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 53.51/7.94 % (584396)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 53.51/7.94 % (584397)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1434757788:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 53.51/7.94 % (584397)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 53.51/7.94 % (584397)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 53.51/7.94 % (584386)Instruction limit reached!
% 53.51/7.94 % (584386)------------------------------
% 53.51/7.94 % (584386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584386)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584386)Termination reason: Instruction limit
% 53.51/7.94 % (584386)Termination phase: Saturation
% 53.51/7.94 % (584386)Time elapsed: 0.600 s
% 53.51/7.94 % (584386)Peak memory usage: 15 MB
% 53.51/7.94 % (584386)Instructions burned: 693 (million)
% 53.51/7.94 % (584400)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1720297122:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584402)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3149088082:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584404)ott-2_1_sil=16000:newcnf=on:random_seed=2431041871:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 53.51/7.94 % (584404)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 53.51/7.94 % (584387)Instruction limit reached!
% 53.51/7.94 % (584387)------------------------------
% 53.51/7.94 % (584387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584387)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584387)Termination reason: Instruction limit
% 53.51/7.94 % (584387)Termination phase: Saturation
% 53.51/7.94 % (584387)Time elapsed: 0.737 s
% 53.51/7.94 % (584387)Peak memory usage: 13 MB
% 53.51/7.94 % (584387)Instructions burned: 880 (million)
% 53.51/7.94 % (584382)Instruction limit reached!
% 53.51/7.94 % (584382)------------------------------
% 53.51/7.94 % (584382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584382)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584382)Termination reason: Instruction limit
% 53.51/7.94 % (584382)Termination phase: Saturation
% 53.51/7.94 % (584382)Time elapsed: 0.844 s
% 53.51/7.94 % (584382)Peak memory usage: 15 MB
% 53.51/7.94 % (584382)Instructions burned: 1179 (million)
% 53.51/7.94 % (584406)ott+10_1_sil=32000:tgt=ground:random_seed=4056727430:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 53.51/7.94 % (584407)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3876445799:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584410)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2372187607:i=3512:aac=none_2988 on theBenchmark for (2988ds/3512Mi)
% 53.51/7.94 % (584410)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 53.51/7.94 % (584404)Instruction limit reached!
% 53.51/7.94 % (584404)------------------------------
% 53.51/7.94 % (584404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584404)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584404)Termination reason: Instruction limit
% 53.51/7.94 % (584404)Termination phase: Saturation
% 53.51/7.94 % (584404)Time elapsed: 0.695 s
% 53.51/7.94 % (584404)Peak memory usage: 15 MB
% 53.51/7.94 % (584404)Instructions burned: 870 (million)
% 53.51/7.94 % (584412)dis+21_1_sil=32000:sas=cadical:random_seed=426679296:i=3773:amm=off_2982 on theBenchmark for (2982ds/3773Mi)
% 53.51/7.94 % (584397)Instruction limit reached!
% 53.51/7.94 % (584397)------------------------------
% 53.51/7.94 % (584397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584397)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584397)Termination reason: Instruction limit
% 53.51/7.94 % (584397)Termination phase: Saturation
% 53.51/7.94 % (584397)Time elapsed: 1.312 s
% 53.51/7.94 % (584397)Peak memory usage: 31 MB
% 53.51/7.94 % (584397)Instructions burned: 1472 (million)
% 53.51/7.94 % (584414)ott+11_1_sil=16000:gs=on:random_seed=4125953377:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2978 on theBenchmark for (2978ds/2251Mi)
% 53.51/7.94 % (584414)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 53.51/7.94 % (584414)Instruction limit reached!
% 53.51/7.94 % (584414)------------------------------
% 53.51/7.94 % (584414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584414)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584414)Termination reason: Instruction limit
% 53.51/7.94 % (584414)Termination phase: Saturation
% 53.51/7.94 % (584414)Time elapsed: 1.598 s
% 53.51/7.94 % (584414)Peak memory usage: 15 MB
% 53.51/7.94 % (584414)Instructions burned: 2251 (million)
% 53.51/7.94 % (584416)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=798867338:fmbsr=1.6:i=67534_2962 on theBenchmark for (2962ds/67534Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584418)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=407253652:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2961 on theBenchmark for (2961ds/4591Mi)
% 53.51/7.94 % (584410)Instruction limit reached!
% 53.51/7.94 % (584410)------------------------------
% 53.51/7.94 % (584410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584410)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584410)Termination reason: Instruction limit
% 53.51/7.94 % (584410)Termination phase: Saturation
% 53.51/7.94 % (584410)Time elapsed: 2.729 s
% 53.51/7.94 % (584410)Peak memory usage: 18 MB
% 53.51/7.94 % (584410)Instructions burned: 3513 (million)
% 53.51/7.94 % (584420)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2202306159:i=29340_2960 on theBenchmark for (2960ds/29340Mi)
% 53.51/7.94 % (584412)Instruction limit reached!
% 53.51/7.94 % (584412)------------------------------
% 53.51/7.94 % (584412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584412)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584412)Termination reason: Instruction limit
% 53.51/7.94 % (584412)Termination phase: Saturation
% 53.51/7.94 % (584412)Time elapsed: 2.829 s
% 53.51/7.94 % (584412)Peak memory usage: 17 MB
% 53.51/7.94 % (584412)Instructions burned: 3773 (million)
% 53.51/7.94 % (584422)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2185420191:i=5211_2953 on theBenchmark for (2953ds/5211Mi)
% 53.51/7.94 % (584396)Instruction limit reached!
% 53.51/7.94 % (584396)------------------------------
% 53.51/7.94 % (584396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584396)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584396)Termination reason: Instruction limit
% 53.51/7.94 % (584396)Termination phase: Saturation
% 53.51/7.94 % (584396)Time elapsed: 3.993 s
% 53.51/7.94 % (584396)Peak memory usage: 20 MB
% 53.51/7.94 % (584396)Instructions burned: 5131 (million)
% 53.51/7.94 % (584424)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=659908648:i=5497:nm=2_2952 on theBenchmark for (2952ds/5497Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584426)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=208823080:fmbsr=2:i=46332_2951 on theBenchmark for (2951ds/46332Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584428)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1601477300:i=14071_2951 on theBenchmark for (2951ds/14071Mi)
% 53.51/7.94 % Exception at run slice level
% 53.51/7.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.51/7.94 % (584406)Instruction limit reached!
% 53.51/7.94 % (584406)------------------------------
% 53.51/7.94 % (584406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.94 % (584406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.94 % (584406)CaDiCaL version: 2.1.3
% 53.51/7.94 % (584406)Termination reason: Instruction limit
% 53.51/7.94 % (584406)Termination phase: Saturation
% 53.51/7.94 % (584406)Time elapsed: 3.781 s
% 53.51/7.94 % (584406)Peak memory usage: 27 MB
% 53.51/7.94 % (584406)Instructions burned: 5114 (million)
% 53.51/7.94 % (584430)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=664724510:i=22565:add=on:rawr=on_2951 on theBenchmark for (2951ds/22565Mi)
% 53.51/7.94 % (584431)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2381751103:i=8173:av=off_2950 on theBenchmark for (2950ds/8173Mi)
% 53.51/7.94 % (584422) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-584351-584422"...
% 53.51/7.94 % (584422)...printing done.
% 53.51/7.94 % (584422)Refutation found. Thanks to Tanya!
% 53.51/7.94 % SZS status Theorem for theBenchmark
% 53.51/7.94 % SZS output start Proof for theBenchmark
% See solution above
% 53.51/7.95 % (584422)------------------------------
% 53.51/7.95 % (584422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.51/7.95 % (584422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.51/7.95 % (584422)CaDiCaL version: 2.1.3
% 53.51/7.95 % (584422)Termination reason: Refutation
% 53.51/7.95 % (584422)Time elapsed: 2.915 s
% 53.51/7.95 % (584422)Peak memory usage: 19 MB
% 53.51/7.95 % (584422)Instructions burned: 3591 (million)
% 53.51/7.95 % (584351)Success in time 7.58 s
% 53.51/7.95 % Vampire exiting
%------------------------------------------------------------------------------