%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN518+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 : Tue Sep 29 02:17:26 PM UTC 2026
% Result : CounterSatisfiable 0.20s 0.34s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff(declare_a999,type,
a999: $i ).
tff(a999_definition,axiom,
a999 = 'fmb_$i_1' ).
tff(declare_a1000,type,
a1000: $i ).
tff(a1000_definition,axiom,
a1000 = 'fmb_$i_1' ).
tff(declare_a1001,type,
a1001: $i ).
tff(a1001_definition,axiom,
a1001 = 'fmb_$i_2' ).
tff(declare_a1002,type,
a1002: $i ).
tff(a1002_definition,axiom,
a1002 = 'fmb_$i_3' ).
tff(declare_a1003,type,
a1003: $i ).
tff(a1003_definition,axiom,
a1003 = 'fmb_$i_3' ).
tff(declare_a1004,type,
a1004: $i ).
tff(a1004_definition,axiom,
a1004 = 'fmb_$i_3' ).
tff(declare_a1005,type,
a1005: $i ).
tff(a1005_definition,axiom,
a1005 = 'fmb_$i_2' ).
tff(declare_a1006,type,
a1006: $i ).
tff(a1006_definition,axiom,
a1006 = 'fmb_$i_3' ).
tff(declare_a1007,type,
a1007: $i ).
tff(a1007_definition,axiom,
a1007 = 'fmb_$i_3' ).
tff(declare_a1008,type,
a1008: $i ).
tff(a1008_definition,axiom,
a1008 = 'fmb_$i_3' ).
tff(declare_a1009,type,
a1009: $i ).
tff(a1009_definition,axiom,
a1009 = 'fmb_$i_3' ).
tff(declare_a1010,type,
a1010: $i ).
tff(a1010_definition,axiom,
a1010 = 'fmb_$i_3' ).
tff(declare_a1011,type,
a1011: $i ).
tff(a1011_definition,axiom,
a1011 = 'fmb_$i_3' ).
tff(declare_a1012,type,
a1012: $i ).
tff(a1012_definition,axiom,
a1012 = 'fmb_$i_3' ).
tff(declare_a1013,type,
a1013: $i ).
tff(a1013_definition,axiom,
a1013 = 'fmb_$i_3' ).
tff(declare_a1014,type,
a1014: $i ).
tff(a1014_definition,axiom,
a1014 = 'fmb_$i_3' ).
tff(declare_a1015,type,
a1015: $i ).
tff(a1015_definition,axiom,
a1015 = 'fmb_$i_3' ).
tff(declare_a1016,type,
a1016: $i ).
tff(a1016_definition,axiom,
a1016 = 'fmb_$i_3' ).
tff(declare_a1017,type,
a1017: $i ).
tff(a1017_definition,axiom,
a1017 = 'fmb_$i_3' ).
tff(declare_a1018,type,
a1018: $i ).
tff(a1018_definition,axiom,
a1018 = 'fmb_$i_3' ).
tff(declare_a1019,type,
a1019: $i ).
tff(a1019_definition,axiom,
a1019 = 'fmb_$i_3' ).
tff(declare_a1020,type,
a1020: $i ).
tff(a1020_definition,axiom,
a1020 = 'fmb_$i_3' ).
tff(declare_a1021,type,
a1021: $i ).
tff(a1021_definition,axiom,
a1021 = 'fmb_$i_3' ).
tff(declare_a1022,type,
a1022: $i ).
tff(a1022_definition,axiom,
a1022 = 'fmb_$i_3' ).
tff(declare_a1023,type,
a1023: $i ).
tff(a1023_definition,axiom,
a1023 = 'fmb_$i_3' ).
tff(declare_a1024,type,
a1024: $i ).
tff(a1024_definition,axiom,
a1024 = 'fmb_$i_3' ).
tff(declare_a1025,type,
a1025: $i ).
tff(a1025_definition,axiom,
a1025 = 'fmb_$i_3' ).
tff(declare_a1026,type,
a1026: $i ).
tff(a1026_definition,axiom,
a1026 = 'fmb_$i_3' ).
tff(declare_a1027,type,
a1027: $i ).
tff(a1027_definition,axiom,
a1027 = 'fmb_$i_3' ).
tff(declare_a1028,type,
a1028: $i ).
tff(a1028_definition,axiom,
a1028 = 'fmb_$i_3' ).
tff(declare_a1029,type,
a1029: $i ).
tff(a1029_definition,axiom,
a1029 = 'fmb_$i_3' ).
tff(declare_a1030,type,
a1030: $i ).
tff(a1030_definition,axiom,
a1030 = 'fmb_$i_3' ).
tff(declare_a1031,type,
a1031: $i ).
tff(a1031_definition,axiom,
a1031 = 'fmb_$i_3' ).
tff(declare_a1032,type,
a1032: $i ).
tff(a1032_definition,axiom,
a1032 = 'fmb_$i_3' ).
tff(declare_a1033,type,
a1033: $i ).
tff(a1033_definition,axiom,
a1033 = 'fmb_$i_2' ).
tff(declare_a1034,type,
a1034: $i ).
tff(a1034_definition,axiom,
a1034 = 'fmb_$i_3' ).
tff(declare_a1035,type,
a1035: $i ).
tff(a1035_definition,axiom,
a1035 = 'fmb_$i_3' ).
tff(declare_a1036,type,
a1036: $i ).
tff(a1036_definition,axiom,
a1036 = 'fmb_$i_3' ).
tff(declare_a1037,type,
a1037: $i ).
tff(a1037_definition,axiom,
a1037 = 'fmb_$i_3' ).
tff(declare_a1038,type,
a1038: $i ).
tff(a1038_definition,axiom,
a1038 = 'fmb_$i_3' ).
tff(declare_a1039,type,
a1039: $i ).
tff(a1039_definition,axiom,
a1039 = 'fmb_$i_3' ).
tff(declare_a1040,type,
a1040: $i ).
tff(a1040_definition,axiom,
a1040 = 'fmb_$i_3' ).
tff(declare_a1041,type,
a1041: $i ).
tff(a1041_definition,axiom,
a1041 = 'fmb_$i_3' ).
tff(declare_a1042,type,
a1042: $i ).
tff(a1042_definition,axiom,
a1042 = 'fmb_$i_1' ).
tff(declare_a1043,type,
a1043: $i ).
tff(a1043_definition,axiom,
a1043 = 'fmb_$i_1' ).
tff(declare_a1044,type,
a1044: $i ).
tff(a1044_definition,axiom,
a1044 = 'fmb_$i_3' ).
tff(declare_a1045,type,
a1045: $i ).
tff(a1045_definition,axiom,
a1045 = 'fmb_$i_1' ).
tff(declare_a1046,type,
a1046: $i ).
tff(a1046_definition,axiom,
a1046 = 'fmb_$i_3' ).
tff(declare_a1047,type,
a1047: $i ).
tff(a1047_definition,axiom,
a1047 = 'fmb_$i_3' ).
tff(declare_a1048,type,
a1048: $i ).
tff(a1048_definition,axiom,
a1048 = 'fmb_$i_3' ).
tff(declare_a1049,type,
a1049: $i ).
tff(a1049_definition,axiom,
a1049 = 'fmb_$i_3' ).
tff(declare_a1050,type,
a1050: $i ).
tff(a1050_definition,axiom,
a1050 = 'fmb_$i_1' ).
tff(declare_a1051,type,
a1051: $i ).
tff(a1051_definition,axiom,
a1051 = 'fmb_$i_1' ).
tff(declare_a1052,type,
a1052: $i ).
tff(a1052_definition,axiom,
a1052 = 'fmb_$i_1' ).
tff(declare_a1053,type,
a1053: $i ).
tff(a1053_definition,axiom,
a1053 = 'fmb_$i_3' ).
tff(declare_a1054,type,
a1054: $i ).
tff(a1054_definition,axiom,
a1054 = 'fmb_$i_2' ).
tff(declare_a1055,type,
a1055: $i ).
tff(a1055_definition,axiom,
a1055 = 'fmb_$i_3' ).
tff(declare_a1056,type,
a1056: $i ).
tff(a1056_definition,axiom,
a1056 = 'fmb_$i_1' ).
tff(declare_a1057,type,
a1057: $i ).
tff(a1057_definition,axiom,
a1057 = 'fmb_$i_2' ).
tff(declare_a1058,type,
a1058: $i ).
tff(a1058_definition,axiom,
a1058 = 'fmb_$i_3' ).
tff(declare_a1059,type,
a1059: $i ).
tff(a1059_definition,axiom,
a1059 = 'fmb_$i_3' ).
tff(declare_a1060,type,
a1060: $i ).
tff(a1060_definition,axiom,
a1060 = 'fmb_$i_3' ).
tff(declare_a1061,type,
a1061: $i ).
tff(a1061_definition,axiom,
a1061 = 'fmb_$i_3' ).
tff(declare_a1062,type,
a1062: $i ).
tff(a1062_definition,axiom,
a1062 = 'fmb_$i_3' ).
tff(declare_a1063,type,
a1063: $i ).
tff(a1063_definition,axiom,
a1063 = 'fmb_$i_1' ).
tff(declare_a1064,type,
a1064: $i ).
tff(a1064_definition,axiom,
a1064 = 'fmb_$i_3' ).
tff(declare_a1065,type,
a1065: $i ).
tff(a1065_definition,axiom,
a1065 = 'fmb_$i_3' ).
tff(declare_a1066,type,
a1066: $i ).
tff(a1066_definition,axiom,
a1066 = 'fmb_$i_3' ).
tff(declare_a1067,type,
a1067: $i ).
tff(a1067_definition,axiom,
a1067 = 'fmb_$i_1' ).
tff(declare_a1068,type,
a1068: $i ).
tff(a1068_definition,axiom,
a1068 = 'fmb_$i_2' ).
tff(declare_a1069,type,
a1069: $i ).
tff(a1069_definition,axiom,
a1069 = 'fmb_$i_3' ).
tff(declare_a1070,type,
a1070: $i ).
tff(a1070_definition,axiom,
a1070 = 'fmb_$i_2' ).
tff(declare_a1071,type,
a1071: $i ).
tff(a1071_definition,axiom,
a1071 = 'fmb_$i_3' ).
tff(declare_a1072,type,
a1072: $i ).
tff(a1072_definition,axiom,
a1072 = 'fmb_$i_3' ).
tff(declare_a1073,type,
a1073: $i ).
tff(a1073_definition,axiom,
a1073 = 'fmb_$i_3' ).
tff(declare_a1074,type,
a1074: $i ).
tff(a1074_definition,axiom,
a1074 = 'fmb_$i_3' ).
tff(declare_a1075,type,
a1075: $i ).
tff(a1075_definition,axiom,
a1075 = 'fmb_$i_2' ).
tff(declare_a1076,type,
a1076: $i ).
tff(a1076_definition,axiom,
a1076 = 'fmb_$i_3' ).
tff(declare_a1077,type,
a1077: $i ).
tff(a1077_definition,axiom,
a1077 = 'fmb_$i_3' ).
tff(declare_a1078,type,
a1078: $i ).
tff(a1078_definition,axiom,
a1078 = 'fmb_$i_3' ).
tff(declare_a1079,type,
a1079: $i ).
tff(a1079_definition,axiom,
a1079 = 'fmb_$i_2' ).
tff(declare_a1080,type,
a1080: $i ).
tff(a1080_definition,axiom,
a1080 = 'fmb_$i_3' ).
tff(declare_a1081,type,
a1081: $i ).
tff(a1081_definition,axiom,
a1081 = 'fmb_$i_3' ).
tff(declare_a1082,type,
a1082: $i ).
tff(a1082_definition,axiom,
a1082 = 'fmb_$i_3' ).
tff(declare_a1083,type,
a1083: $i ).
tff(a1083_definition,axiom,
a1083 = 'fmb_$i_3' ).
tff(declare_a1084,type,
a1084: $i ).
tff(a1084_definition,axiom,
a1084 = 'fmb_$i_2' ).
tff(declare_a1085,type,
a1085: $i ).
tff(a1085_definition,axiom,
a1085 = 'fmb_$i_1' ).
tff(declare_a1086,type,
a1086: $i ).
tff(a1086_definition,axiom,
a1086 = 'fmb_$i_3' ).
tff(declare_a1087,type,
a1087: $i ).
tff(a1087_definition,axiom,
a1087 = 'fmb_$i_3' ).
tff(declare_a1088,type,
a1088: $i ).
tff(a1088_definition,axiom,
a1088 = 'fmb_$i_3' ).
tff(declare_a1089,type,
a1089: $i ).
tff(a1089_definition,axiom,
a1089 = 'fmb_$i_3' ).
tff(declare_a1090,type,
a1090: $i ).
tff(a1090_definition,axiom,
a1090 = 'fmb_$i_3' ).
tff(declare_a1091,type,
a1091: $i ).
tff(a1091_definition,axiom,
a1091 = 'fmb_$i_3' ).
tff(declare_a1092,type,
a1092: $i ).
tff(a1092_definition,axiom,
a1092 = 'fmb_$i_3' ).
tff(declare_a1093,type,
a1093: $i ).
tff(a1093_definition,axiom,
a1093 = 'fmb_$i_3' ).
tff(declare_a1094,type,
a1094: $i ).
tff(a1094_definition,axiom,
a1094 = 'fmb_$i_1' ).
tff(declare_a1095,type,
a1095: $i ).
tff(a1095_definition,axiom,
a1095 = 'fmb_$i_2' ).
tff(declare_a1096,type,
a1096: $i ).
tff(a1096_definition,axiom,
a1096 = 'fmb_$i_3' ).
tff(declare_a1097,type,
a1097: $i ).
tff(a1097_definition,axiom,
a1097 = 'fmb_$i_2' ).
tff(declare_a1098,type,
a1098: $i ).
tff(a1098_definition,axiom,
a1098 = 'fmb_$i_1' ).
tff(declare_a1099,type,
a1099: $i ).
tff(a1099_definition,axiom,
a1099 = 'fmb_$i_3' ).
tff(declare_a1100,type,
a1100: $i ).
tff(a1100_definition,axiom,
a1100 = 'fmb_$i_3' ).
tff(declare_a1101,type,
a1101: $i ).
tff(a1101_definition,axiom,
a1101 = 'fmb_$i_3' ).
tff(declare_a1102,type,
a1102: $i ).
tff(a1102_definition,axiom,
a1102 = 'fmb_$i_3' ).
tff(declare_a1103,type,
a1103: $i ).
tff(a1103_definition,axiom,
a1103 = 'fmb_$i_3' ).
tff(declare_a1104,type,
a1104: $i ).
tff(a1104_definition,axiom,
a1104 = 'fmb_$i_1' ).
tff(declare_a1105,type,
a1105: $i ).
tff(a1105_definition,axiom,
a1105 = 'fmb_$i_2' ).
tff(declare_a1106,type,
a1106: $i ).
tff(a1106_definition,axiom,
a1106 = 'fmb_$i_3' ).
tff(declare_a1107,type,
a1107: $i ).
tff(a1107_definition,axiom,
a1107 = 'fmb_$i_3' ).
tff(declare_a1108,type,
a1108: $i ).
tff(a1108_definition,axiom,
a1108 = 'fmb_$i_3' ).
tff(declare_a1109,type,
a1109: $i ).
tff(a1109_definition,axiom,
a1109 = 'fmb_$i_3' ).
tff(declare_a1110,type,
a1110: $i ).
tff(a1110_definition,axiom,
a1110 = 'fmb_$i_3' ).
tff(declare_a1111,type,
a1111: $i ).
tff(a1111_definition,axiom,
a1111 = 'fmb_$i_3' ).
tff(declare_a1112,type,
a1112: $i ).
tff(a1112_definition,axiom,
a1112 = 'fmb_$i_3' ).
tff(declare_a1113,type,
a1113: $i ).
tff(a1113_definition,axiom,
a1113 = 'fmb_$i_3' ).
tff(declare_a1114,type,
a1114: $i ).
tff(a1114_definition,axiom,
a1114 = 'fmb_$i_3' ).
tff(declare_a1115,type,
a1115: $i ).
tff(a1115_definition,axiom,
a1115 = 'fmb_$i_3' ).
tff(declare_a1116,type,
a1116: $i ).
tff(a1116_definition,axiom,
a1116 = 'fmb_$i_3' ).
tff(declare_a1117,type,
a1117: $i ).
tff(a1117_definition,axiom,
a1117 = 'fmb_$i_3' ).
tff(declare_a1118,type,
a1118: $i ).
tff(a1118_definition,axiom,
a1118 = 'fmb_$i_3' ).
tff(declare_a1119,type,
a1119: $i ).
tff(a1119_definition,axiom,
a1119 = 'fmb_$i_3' ).
tff(declare_a1120,type,
a1120: $i ).
tff(a1120_definition,axiom,
a1120 = 'fmb_$i_2' ).
tff(declare_a1121,type,
a1121: $i ).
tff(a1121_definition,axiom,
a1121 = 'fmb_$i_2' ).
tff(declare_a1122,type,
a1122: $i ).
tff(a1122_definition,axiom,
a1122 = 'fmb_$i_3' ).
tff(declare_a1123,type,
a1123: $i ).
tff(a1123_definition,axiom,
a1123 = 'fmb_$i_3' ).
tff(declare_a1124,type,
a1124: $i ).
tff(a1124_definition,axiom,
a1124 = 'fmb_$i_3' ).
tff(declare_a1125,type,
a1125: $i ).
tff(a1125_definition,axiom,
a1125 = 'fmb_$i_3' ).
tff(declare_a1126,type,
a1126: $i ).
tff(a1126_definition,axiom,
a1126 = 'fmb_$i_3' ).
tff(declare_a1127,type,
a1127: $i ).
tff(a1127_definition,axiom,
a1127 = 'fmb_$i_3' ).
tff(declare_a1128,type,
a1128: $i ).
tff(a1128_definition,axiom,
a1128 = 'fmb_$i_2' ).
tff(declare_a1129,type,
a1129: $i ).
tff(a1129_definition,axiom,
a1129 = 'fmb_$i_3' ).
tff(declare_a1130,type,
a1130: $i ).
tff(a1130_definition,axiom,
a1130 = 'fmb_$i_3' ).
tff(declare_a1131,type,
a1131: $i ).
tff(a1131_definition,axiom,
a1131 = 'fmb_$i_3' ).
tff(declare_a1132,type,
a1132: $i ).
tff(a1132_definition,axiom,
a1132 = 'fmb_$i_3' ).
tff(declare_a1133,type,
a1133: $i ).
tff(a1133_definition,axiom,
a1133 = 'fmb_$i_3' ).
tff(declare_a1134,type,
a1134: $i ).
tff(a1134_definition,axiom,
a1134 = 'fmb_$i_3' ).
tff(declare_a1135,type,
a1135: $i ).
tff(a1135_definition,axiom,
a1135 = 'fmb_$i_3' ).
tff(declare_a1136,type,
a1136: $i ).
tff(a1136_definition,axiom,
a1136 = 'fmb_$i_3' ).
tff(declare_a1137,type,
a1137: $i ).
tff(a1137_definition,axiom,
a1137 = 'fmb_$i_3' ).
tff(declare_a1138,type,
a1138: $i ).
tff(a1138_definition,axiom,
a1138 = 'fmb_$i_3' ).
tff(declare_a1139,type,
a1139: $i ).
tff(a1139_definition,axiom,
a1139 = 'fmb_$i_3' ).
tff(declare_a1140,type,
a1140: $i ).
tff(a1140_definition,axiom,
a1140 = 'fmb_$i_3' ).
tff(declare_a1141,type,
a1141: $i ).
tff(a1141_definition,axiom,
a1141 = 'fmb_$i_2' ).
tff(declare_a1142,type,
a1142: $i ).
tff(a1142_definition,axiom,
a1142 = 'fmb_$i_2' ).
tff(declare_a1143,type,
a1143: $i ).
tff(a1143_definition,axiom,
a1143 = 'fmb_$i_2' ).
tff(declare_a1144,type,
a1144: $i ).
tff(a1144_definition,axiom,
a1144 = 'fmb_$i_3' ).
tff(declare_a1145,type,
a1145: $i ).
tff(a1145_definition,axiom,
a1145 = 'fmb_$i_3' ).
tff(declare_a1146,type,
a1146: $i ).
tff(a1146_definition,axiom,
a1146 = 'fmb_$i_3' ).
tff(declare_a1147,type,
a1147: $i ).
tff(a1147_definition,axiom,
a1147 = 'fmb_$i_2' ).
tff(declare_a1148,type,
a1148: $i ).
tff(a1148_definition,axiom,
a1148 = 'fmb_$i_1' ).
tff(declare_a1149,type,
a1149: $i ).
tff(a1149_definition,axiom,
a1149 = 'fmb_$i_3' ).
tff(declare_a1150,type,
a1150: $i ).
tff(a1150_definition,axiom,
a1150 = 'fmb_$i_3' ).
tff(declare_a1151,type,
a1151: $i ).
tff(a1151_definition,axiom,
a1151 = 'fmb_$i_1' ).
tff(declare_a1152,type,
a1152: $i ).
tff(a1152_definition,axiom,
a1152 = 'fmb_$i_3' ).
tff(declare_a1153,type,
a1153: $i ).
tff(a1153_definition,axiom,
a1153 = 'fmb_$i_3' ).
tff(declare_a1154,type,
a1154: $i ).
tff(a1154_definition,axiom,
a1154 = 'fmb_$i_3' ).
tff(declare_a1155,type,
a1155: $i ).
tff(a1155_definition,axiom,
a1155 = 'fmb_$i_3' ).
tff(declare_a1156,type,
a1156: $i ).
tff(a1156_definition,axiom,
a1156 = 'fmb_$i_3' ).
tff(declare_a1157,type,
a1157: $i ).
tff(a1157_definition,axiom,
a1157 = 'fmb_$i_3' ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_c3_0,type,
c3_0: $o ).
tff(c3_0_definition,axiom,
~ c3_0 ).
tff(declare_c2_0,type,
c2_0: $o ).
tff(c2_0_definition,axiom,
~ c2_0 ).
tff(declare_c4_0,type,
c4_0: $o ).
tff(c4_0_definition,axiom,
~ c4_0 ).
tff(declare_c5_0,type,
c5_0: $o ).
tff(c5_0_definition,axiom,
~ c5_0 ).
tff(declare_c1_0,type,
c1_0: $o ).
tff(c1_0_definition,axiom,
c1_0 ).
tff(declare_ndr1_1,type,
ndr1_1: $i > $o ).
tff(predicate_ndr1_1,axiom,
( ndr1_1('fmb_$i_1')
& ndr1_1('fmb_$i_2')
& ndr1_1('fmb_$i_3') ) ).
tff(declare_c2_2,type,
c2_2: ( $i * $i ) > $o ).
tff(predicate_c2_2,axiom,
( ~ c2_2('fmb_$i_1','fmb_$i_1')
& c2_2('fmb_$i_1','fmb_$i_2')
& ~ c2_2('fmb_$i_1','fmb_$i_3')
& c2_2('fmb_$i_2','fmb_$i_1')
& ~ c2_2('fmb_$i_2','fmb_$i_2')
& ~ c2_2('fmb_$i_2','fmb_$i_3')
& ~ c2_2('fmb_$i_3','fmb_$i_1')
& c2_2('fmb_$i_3','fmb_$i_2')
& c2_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c3_2,type,
c3_2: ( $i * $i ) > $o ).
tff(predicate_c3_2,axiom,
( ~ c3_2('fmb_$i_1','fmb_$i_1')
& c3_2('fmb_$i_1','fmb_$i_2')
& ~ c3_2('fmb_$i_1','fmb_$i_3')
& c3_2('fmb_$i_2','fmb_$i_1')
& ~ c3_2('fmb_$i_2','fmb_$i_2')
& c3_2('fmb_$i_2','fmb_$i_3')
& c3_2('fmb_$i_3','fmb_$i_1')
& ~ c3_2('fmb_$i_3','fmb_$i_2')
& ~ c3_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c1_2,type,
c1_2: ( $i * $i ) > $o ).
tff(predicate_c1_2,axiom,
( c1_2('fmb_$i_1','fmb_$i_1')
& ~ c1_2('fmb_$i_1','fmb_$i_2')
& ~ c1_2('fmb_$i_1','fmb_$i_3')
& c1_2('fmb_$i_2','fmb_$i_1')
& c1_2('fmb_$i_2','fmb_$i_2')
& ~ c1_2('fmb_$i_2','fmb_$i_3')
& ~ c1_2('fmb_$i_3','fmb_$i_1')
& c1_2('fmb_$i_3','fmb_$i_2')
& c1_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c1_1,type,
c1_1: $i > $o ).
tff(predicate_c1_1,axiom,
( ~ c1_1('fmb_$i_1')
& ~ c1_1('fmb_$i_2')
& c1_1('fmb_$i_3') ) ).
tff(declare_c5_2,type,
c5_2: ( $i * $i ) > $o ).
tff(predicate_c5_2,axiom,
( c5_2('fmb_$i_1','fmb_$i_1')
& ~ c5_2('fmb_$i_1','fmb_$i_2')
& ~ c5_2('fmb_$i_1','fmb_$i_3')
& c5_2('fmb_$i_2','fmb_$i_1')
& ~ c5_2('fmb_$i_2','fmb_$i_2')
& c5_2('fmb_$i_2','fmb_$i_3')
& ~ c5_2('fmb_$i_3','fmb_$i_1')
& c5_2('fmb_$i_3','fmb_$i_2')
& ~ c5_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c4_2,type,
c4_2: ( $i * $i ) > $o ).
tff(predicate_c4_2,axiom,
( ~ c4_2('fmb_$i_1','fmb_$i_1')
& ~ c4_2('fmb_$i_1','fmb_$i_2')
& c4_2('fmb_$i_1','fmb_$i_3')
& c4_2('fmb_$i_2','fmb_$i_1')
& c4_2('fmb_$i_2','fmb_$i_2')
& ~ c4_2('fmb_$i_2','fmb_$i_3')
& ~ c4_2('fmb_$i_3','fmb_$i_1')
& c4_2('fmb_$i_3','fmb_$i_2')
& ~ c4_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c3_1,type,
c3_1: $i > $o ).
tff(predicate_c3_1,axiom,
( ~ c3_1('fmb_$i_1')
& c3_1('fmb_$i_2')
& ~ c3_1('fmb_$i_3') ) ).
tff(declare_c2_1,type,
c2_1: $i > $o ).
tff(predicate_c2_1,axiom,
( ~ c2_1('fmb_$i_1')
& ~ c2_1('fmb_$i_2')
& c2_1('fmb_$i_3') ) ).
tff(declare_c5_1,type,
c5_1: $i > $o ).
tff(predicate_c5_1,axiom,
( c5_1('fmb_$i_1')
& ~ c5_1('fmb_$i_2')
& c5_1('fmb_$i_3') ) ).
tff(declare_c4_1,type,
c4_1: $i > $o ).
tff(predicate_c4_1,axiom,
( ~ c4_1('fmb_$i_1')
& ~ c4_1('fmb_$i_2')
& c4_1('fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN518+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:22:43 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.34 % (1308196)Will run a generic schedule for satisfiability detection.
% 0.20/0.34 % (1308204)dis+10_1_sil=32000:sp=arity:random_seed=2044528728:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.34 % (1308202)% WARNING: option uhcvi not known.
% 0.20/0.34 % (1308203)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=27228355:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.34 % (1308201)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3525000224_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.34 % (1308202)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2087100091:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.34 % (1308205)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2935885133:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.34 % (1308206)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=37285987:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.34 % (1308207)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2157275028:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.34 % (1308204)Instruction limit reached!
% 0.20/0.34 % (1308204)------------------------------
% 0.20/0.34 % (1308204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1308204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1308204)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1308204)Termination reason: Instruction limit
% 0.20/0.34 % (1308204)Termination phase: Saturation
% 0.20/0.34 % (1308204)Time elapsed: 0.033 s
% 0.20/0.34 % (1308204)Peak memory usage: 14 MB
% 0.20/0.34 % (1308204)Instructions burned: 104 (million)
% 0.20/0.34 % Detected minimum model sizes of [1]
% 0.20/0.34 % Detected maximum model sizes of [159]
% 0.20/0.34 % TRYING [1]
% 0.20/0.34 % TRYING [2]
% 0.20/0.34 % (1308215)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3707711078:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.34 % TRYING [3]
% 0.20/0.34 % Detected minimum model sizes of [1]
% 0.20/0.34 % Detected maximum model sizes of [159]
% 0.20/0.34 % TRYING [1]
% 0.20/0.34 % TRYING [2]
% 0.20/0.34 % TRYING [3]
% 0.20/0.34 % (1308205)Instruction limit reached!
% 0.20/0.34 % (1308205)------------------------------
% 0.20/0.34 % (1308205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1308205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1308205)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1308205)Termination reason: Instruction limit
% 0.20/0.34 % (1308205)Termination phase: Blocked clause elimination
% 0.20/0.34 % (1308205)Time elapsed: 0.053 s
% 0.20/0.34 % (1308205)Peak memory usage: 12 MB
% 0.20/0.34 % (1308205)Instructions burned: 117 (million)
% 0.20/0.34 % Finite Model Found!
% 0.20/0.34 % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.34 % (1308215) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1308196-1308215"...
% 0.20/0.34 % (1308215)...printing done.
% 0.20/0.34 % Finite Model Found!
% 0.20/0.34 % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.34 % (1308206) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1308196-1308206"...
% 0.20/0.34 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.20/0.34 % (1308215)------------------------------
% 0.20/0.34 % (1308215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1308215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1308215)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1308215)Termination reason: Satisfiable
% 0.20/0.34 % (1308215)Time elapsed: 0.025 s
% 0.20/0.34 % (1308215)Peak memory usage: 13 MB
% 0.20/0.34 % (1308215)Instructions burned: 97 (million)
% 0.20/0.34 % (1308196)Success in time 0.107 s
% 0.20/0.34 % Vampire exiting
%------------------------------------------------------------------------------