TSTP Solution File: SYN518-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYN518-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n010.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  : 600s
% DateTime : Thu Jul 21 09:48:25 EDT 2022

% Result   : Satisfiable 0.42s 0.58s
% Output   : FiniteModel 0.42s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    3

% Comments : 
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3" ) ).

fof(a1000,fi_functors,
    a1000 = "1" ).

fof(a1001,fi_functors,
    a1001 = "3" ).

fof(a1002,fi_functors,
    a1002 = "1" ).

fof(a1003,fi_functors,
    a1003 = "1" ).

fof(a1004,fi_functors,
    a1004 = "1" ).

fof(a1005,fi_functors,
    a1005 = "1" ).

fof(a1006,fi_functors,
    a1006 = "1" ).

fof(a1009,fi_functors,
    a1009 = "3" ).

fof(a1010,fi_functors,
    a1010 = "1" ).

fof(a1011,fi_functors,
    a1011 = "1" ).

fof(a1012,fi_functors,
    a1012 = "3" ).

fof(a1013,fi_functors,
    a1013 = "1" ).

fof(a1014,fi_functors,
    a1014 = "1" ).

fof(a1015,fi_functors,
    a1015 = "1" ).

fof(a1016,fi_functors,
    a1016 = "1" ).

fof(a1017,fi_functors,
    a1017 = "1" ).

fof(a1018,fi_functors,
    a1018 = "1" ).

fof(a1019,fi_functors,
    a1019 = "1" ).

fof(a1020,fi_functors,
    a1020 = "1" ).

fof(a1022,fi_functors,
    a1022 = "1" ).

fof(a1023,fi_functors,
    a1023 = "1" ).

fof(a1024,fi_functors,
    a1024 = "1" ).

fof(a1025,fi_functors,
    a1025 = "3" ).

fof(a1026,fi_functors,
    a1026 = "1" ).

fof(a1027,fi_functors,
    a1027 = "1" ).

fof(a1028,fi_functors,
    a1028 = "1" ).

fof(a1029,fi_functors,
    a1029 = "2" ).

fof(a1030,fi_functors,
    a1030 = "1" ).

fof(a1031,fi_functors,
    a1031 = "2" ).

fof(a1032,fi_functors,
    a1032 = "2" ).

fof(a1033,fi_functors,
    a1033 = "1" ).

fof(a1034,fi_functors,
    a1034 = "1" ).

fof(a1035,fi_functors,
    a1035 = "1" ).

fof(a1036,fi_functors,
    a1036 = "1" ).

fof(a1037,fi_functors,
    a1037 = "1" ).

fof(a1038,fi_functors,
    a1038 = "2" ).

fof(a1039,fi_functors,
    a1039 = "1" ).

fof(a1040,fi_functors,
    a1040 = "1" ).

fof(a1041,fi_functors,
    a1041 = "1" ).

fof(a1042,fi_functors,
    a1042 = "2" ).

fof(a1043,fi_functors,
    a1043 = "2" ).

fof(a1044,fi_functors,
    a1044 = "1" ).

fof(a1045,fi_functors,
    a1045 = "2" ).

fof(a1046,fi_functors,
    a1046 = "2" ).

fof(a1047,fi_functors,
    a1047 = "1" ).

fof(a1048,fi_functors,
    a1048 = "1" ).

fof(a1049,fi_functors,
    a1049 = "2" ).

fof(a1050,fi_functors,
    a1050 = "1" ).

fof(a1051,fi_functors,
    a1051 = "1" ).

fof(a1052,fi_functors,
    a1052 = "2" ).

fof(a1053,fi_functors,
    a1053 = "2" ).

fof(a1054,fi_functors,
    a1054 = "3" ).

fof(a1055,fi_functors,
    a1055 = "1" ).

fof(a1056,fi_functors,
    a1056 = "3" ).

fof(a1057,fi_functors,
    a1057 = "1" ).

fof(a1058,fi_functors,
    a1058 = "3" ).

fof(a1059,fi_functors,
    a1059 = "2" ).

fof(a1060,fi_functors,
    a1060 = "3" ).

fof(a1061,fi_functors,
    a1061 = "1" ).

fof(a1062,fi_functors,
    a1062 = "1" ).

fof(a1063,fi_functors,
    a1063 = "2" ).

fof(a1064,fi_functors,
    a1064 = "1" ).

fof(a1065,fi_functors,
    a1065 = "1" ).

fof(a1066,fi_functors,
    a1066 = "1" ).

fof(a1067,fi_functors,
    a1067 = "3" ).

fof(a1068,fi_functors,
    a1068 = "3" ).

fof(a1069,fi_functors,
    a1069 = "1" ).

fof(a1070,fi_functors,
    a1070 = "1" ).

fof(a1071,fi_functors,
    a1071 = "1" ).

fof(a1072,fi_functors,
    a1072 = "3" ).

fof(a1073,fi_functors,
    a1073 = "2" ).

fof(a1074,fi_functors,
    a1074 = "1" ).

fof(a1075,fi_functors,
    a1075 = "3" ).

fof(a1076,fi_functors,
    a1076 = "3" ).

fof(a1077,fi_functors,
    a1077 = "1" ).

fof(a1078,fi_functors,
    a1078 = "1" ).

fof(a1079,fi_functors,
    a1079 = "1" ).

fof(a1080,fi_functors,
    a1080 = "1" ).

fof(a1081,fi_functors,
    a1081 = "3" ).

fof(a1082,fi_functors,
    a1082 = "1" ).

fof(a1083,fi_functors,
    a1083 = "2" ).

fof(a1084,fi_functors,
    a1084 = "1" ).

fof(a1085,fi_functors,
    a1085 = "3" ).

fof(a1086,fi_functors,
    a1086 = "2" ).

fof(a1087,fi_functors,
    a1087 = "1" ).

fof(a1088,fi_functors,
    a1088 = "1" ).

fof(a1089,fi_functors,
    a1089 = "1" ).

fof(a1090,fi_functors,
    a1090 = "1" ).

fof(a1091,fi_functors,
    a1091 = "1" ).

fof(a1092,fi_functors,
    a1092 = "3" ).

fof(a1093,fi_functors,
    a1093 = "3" ).

fof(a1094,fi_functors,
    a1094 = "2" ).

fof(a1095,fi_functors,
    a1095 = "3" ).

fof(a1097,fi_functors,
    a1097 = "1" ).

fof(a1098,fi_functors,
    a1098 = "2" ).

fof(a1099,fi_functors,
    a1099 = "1" ).

fof(a1100,fi_functors,
    a1100 = "1" ).

fof(a1101,fi_functors,
    a1101 = "1" ).

fof(a1102,fi_functors,
    a1102 = "1" ).

fof(a1103,fi_functors,
    a1103 = "2" ).

fof(a1104,fi_functors,
    a1104 = "1" ).

fof(a1105,fi_functors,
    a1105 = "3" ).

fof(a1106,fi_functors,
    a1106 = "3" ).

fof(a1107,fi_functors,
    a1107 = "3" ).

fof(a1108,fi_functors,
    a1108 = "2" ).

fof(a1109,fi_functors,
    a1109 = "1" ).

fof(a1110,fi_functors,
    a1110 = "2" ).

fof(a1111,fi_functors,
    a1111 = "2" ).

fof(a1112,fi_functors,
    a1112 = "1" ).

fof(a1113,fi_functors,
    a1113 = "3" ).

fof(a1114,fi_functors,
    a1114 = "1" ).

fof(a1115,fi_functors,
    a1115 = "1" ).

fof(a1116,fi_functors,
    a1116 = "3" ).

fof(a1117,fi_functors,
    a1117 = "1" ).

fof(a1118,fi_functors,
    a1118 = "1" ).

fof(a1119,fi_functors,
    a1119 = "1" ).

fof(a1120,fi_functors,
    a1120 = "3" ).

fof(a1121,fi_functors,
    a1121 = "1" ).

fof(a1122,fi_functors,
    a1122 = "3" ).

fof(a1123,fi_functors,
    a1123 = "3" ).

fof(a1124,fi_functors,
    a1124 = "1" ).

fof(a1125,fi_functors,
    a1125 = "1" ).

fof(a1126,fi_functors,
    a1126 = "1" ).

fof(a1127,fi_functors,
    a1127 = "1" ).

fof(a1128,fi_functors,
    a1128 = "2" ).

fof(a1129,fi_functors,
    a1129 = "2" ).

fof(a1130,fi_functors,
    a1130 = "1" ).

fof(a1134,fi_functors,
    a1134 = "3" ).

fof(a1135,fi_functors,
    a1135 = "1" ).

fof(a1136,fi_functors,
    a1136 = "1" ).

fof(a1137,fi_functors,
    a1137 = "3" ).

fof(a1138,fi_functors,
    a1138 = "1" ).

fof(a1140,fi_functors,
    a1140 = "1" ).

fof(a1141,fi_functors,
    a1141 = "1" ).

fof(a1142,fi_functors,
    a1142 = "1" ).

fof(a1143,fi_functors,
    a1143 = "1" ).

fof(a1144,fi_functors,
    a1144 = "1" ).

fof(a1145,fi_functors,
    a1145 = "1" ).

fof(a1146,fi_functors,
    a1146 = "1" ).

fof(a1147,fi_functors,
    a1147 = "1" ).

fof(a1148,fi_functors,
    a1148 = "3" ).

fof(a1149,fi_functors,
    a1149 = "3" ).

fof(a1150,fi_functors,
    a1150 = "3" ).

fof(a1151,fi_functors,
    a1151 = "2" ).

fof(a1152,fi_functors,
    a1152 = "3" ).

fof(a1153,fi_functors,
    a1153 = "2" ).

fof(a1154,fi_functors,
    a1154 = "3" ).

fof(a1155,fi_functors,
    a1155 = "1" ).

fof(a1156,fi_functors,
    a1156 = "1" ).

fof(a1157,fi_functors,
    a1157 = "1" ).

fof(a999,fi_functors,
    a999 = "1" ).

fof(c1_0,fi_predicates,
    ( c1_0
  <=> $true ) ).

fof(c1_1,fi_predicates,
    ( ( c1_1("1")
    <=> $false )
    & ( c1_1("2")
    <=> $false )
    & ( c1_1("3")
    <=> $true ) ) ).

fof(c1_2,fi_predicates,
    ( ( c1_2("1","1")
    <=> $true )
    & ( c1_2("1","2")
    <=> $true )
    & ( c1_2("1","3")
    <=> $true )
    & ( c1_2("2","1")
    <=> $true )
    & ( c1_2("2","2")
    <=> $true )
    & ( c1_2("2","3")
    <=> $false )
    & ( c1_2("3","1")
    <=> $true )
    & ( c1_2("3","2")
    <=> $true )
    & ( c1_2("3","3")
    <=> $false ) ) ).

fof(c2_0,fi_predicates,
    ( c2_0
  <=> $false ) ).

fof(c2_1,fi_predicates,
    ( ( c2_1("1")
    <=> $false )
    & ( c2_1("2")
    <=> $true )
    & ( c2_1("3")
    <=> $true ) ) ).

fof(c2_2,fi_predicates,
    ( ( c2_2("1","1")
    <=> $false )
    & ( c2_2("1","2")
    <=> $false )
    & ( c2_2("1","3")
    <=> $true )
    & ( c2_2("2","1")
    <=> $false )
    & ( c2_2("2","2")
    <=> $false )
    & ( c2_2("2","3")
    <=> $true )
    & ( c2_2("3","1")
    <=> $false )
    & ( c2_2("3","2")
    <=> $true )
    & ( c2_2("3","3")
    <=> $true ) ) ).

fof(c3_0,fi_predicates,
    ( c3_0
  <=> $false ) ).

fof(c3_1,fi_predicates,
    ( ( c3_1("1")
    <=> $true )
    & ( c3_1("2")
    <=> $false )
    & ( c3_1("3")
    <=> $false ) ) ).

fof(c3_2,fi_predicates,
    ( ( c3_2("1","1")
    <=> $false )
    & ( c3_2("1","2")
    <=> $true )
    & ( c3_2("1","3")
    <=> $true )
    & ( c3_2("2","1")
    <=> $false )
    & ( c3_2("2","2")
    <=> $false )
    & ( c3_2("2","3")
    <=> $false )
    & ( c3_2("3","1")
    <=> $false )
    & ( c3_2("3","2")
    <=> $false )
    & ( c3_2("3","3")
    <=> $true ) ) ).

fof(c4_0,fi_predicates,
    ( c4_0
  <=> $false ) ).

fof(c4_1,fi_predicates,
    ( ( c4_1("1")
    <=> $false )
    & ( c4_1("2")
    <=> $true )
    & ( c4_1("3")
    <=> $false ) ) ).

fof(c4_2,fi_predicates,
    ( ( c4_2("1","1")
    <=> $true )
    & ( c4_2("1","2")
    <=> $false )
    & ( c4_2("1","3")
    <=> $false )
    & ( c4_2("2","1")
    <=> $false )
    & ( c4_2("2","2")
    <=> $false )
    & ( c4_2("2","3")
    <=> $true )
    & ( c4_2("3","1")
    <=> $false )
    & ( c4_2("3","2")
    <=> $true )
    & ( c4_2("3","3")
    <=> $true ) ) ).

fof(c5_0,fi_predicates,
    ( c5_0
  <=> $false ) ).

fof(c5_1,fi_predicates,
    ( ( c5_1("1")
    <=> $false )
    & ( c5_1("2")
    <=> $true )
    & ( c5_1("3")
    <=> $true ) ) ).

fof(c5_2,fi_predicates,
    ( ( c5_2("1","1")
    <=> $true )
    & ( c5_2("1","2")
    <=> $true )
    & ( c5_2("1","3")
    <=> $false )
    & ( c5_2("2","1")
    <=> $false )
    & ( c5_2("2","2")
    <=> $true )
    & ( c5_2("2","3")
    <=> $true )
    & ( c5_2("3","1")
    <=> $false )
    & ( c5_2("3","2")
    <=> $true )
    & ( c5_2("3","3")
    <=> $true ) ) ).

fof(ndr1_0,fi_predicates,
    ( ndr1_0
  <=> $true ) ).

fof(ndr1_1,fi_predicates,
    ( ( ndr1_1("1")
    <=> $true )
    & ( ndr1_1("2")
    <=> $true )
    & ( ndr1_1("3")
    <=> $true ) ) ).

fof(ssSkC0,fi_predicates,
    ( ssSkC0
  <=> $true ) ).

fof(ssSkC1,fi_predicates,
    ( ssSkC1
  <=> $true ) ).

fof(ssSkC10,fi_predicates,
    ( ssSkC10
  <=> $false ) ).

fof(ssSkC11,fi_predicates,
    ( ssSkC11
  <=> $true ) ).

fof(ssSkC12,fi_predicates,
    ( ssSkC12
  <=> $false ) ).

fof(ssSkC13,fi_predicates,
    ( ssSkC13
  <=> $true ) ).

fof(ssSkC14,fi_predicates,
    ( ssSkC14
  <=> $true ) ).

fof(ssSkC15,fi_predicates,
    ( ssSkC15
  <=> $true ) ).

fof(ssSkC16,fi_predicates,
    ( ssSkC16
  <=> $true ) ).

fof(ssSkC17,fi_predicates,
    ( ssSkC17
  <=> $false ) ).

fof(ssSkC18,fi_predicates,
    ( ssSkC18
  <=> $false ) ).

fof(ssSkC19,fi_predicates,
    ( ssSkC19
  <=> $false ) ).

fof(ssSkC2,fi_predicates,
    ( ssSkC2
  <=> $false ) ).

fof(ssSkC20,fi_predicates,
    ( ssSkC20
  <=> $true ) ).

fof(ssSkC21,fi_predicates,
    ( ssSkC21
  <=> $true ) ).

fof(ssSkC22,fi_predicates,
    ( ssSkC22
  <=> $false ) ).

fof(ssSkC23,fi_predicates,
    ( ssSkC23
  <=> $false ) ).

fof(ssSkC24,fi_predicates,
    ( ssSkC24
  <=> $true ) ).

fof(ssSkC25,fi_predicates,
    ( ssSkC25
  <=> $true ) ).

fof(ssSkC26,fi_predicates,
    ( ssSkC26
  <=> $false ) ).

fof(ssSkC27,fi_predicates,
    ( ssSkC27
  <=> $true ) ).

fof(ssSkC3,fi_predicates,
    ( ssSkC3
  <=> $true ) ).

fof(ssSkC4,fi_predicates,
    ( ssSkC4
  <=> $true ) ).

fof(ssSkC5,fi_predicates,
    ( ssSkC5
  <=> $true ) ).

fof(ssSkC6,fi_predicates,
    ( ssSkC6
  <=> $false ) ).

fof(ssSkC7,fi_predicates,
    ( ssSkC7
  <=> $true ) ).

fof(ssSkC8,fi_predicates,
    ( ssSkC8
  <=> $false ) ).

fof(ssSkC9,fi_predicates,
    ( ssSkC9
  <=> $true ) ).

fof(ssSkP0,fi_predicates,
    ( ( ssSkP0("1")
    <=> $true )
    & ( ssSkP0("2")
    <=> $true )
    & ( ssSkP0("3")
    <=> $true ) ) ).

fof(ssSkP1,fi_predicates,
    ( ( ssSkP1("1")
    <=> $true )
    & ( ssSkP1("2")
    <=> $true )
    & ( ssSkP1("3")
    <=> $true ) ) ).

fof(ssSkP2,fi_predicates,
    ( ( ssSkP2("1")
    <=> $true )
    & ( ssSkP2("2")
    <=> $true )
    & ( ssSkP2("3")
    <=> $true ) ) ).

fof(ssSkP3,fi_predicates,
    ( ( ssSkP3("1")
    <=> $true )
    & ( ssSkP3("2")
    <=> $true )
    & ( ssSkP3("3")
    <=> $true ) ) ).

fof(ssSkP4,fi_predicates,
    ( ( ssSkP4("1")
    <=> $true )
    & ( ssSkP4("2")
    <=> $false )
    & ( ssSkP4("3")
    <=> $false ) ) ).

fof(ssSkP5,fi_predicates,
    ( ( ssSkP5("1")
    <=> $true )
    & ( ssSkP5("2")
    <=> $true )
    & ( ssSkP5("3")
    <=> $true ) ) ).

fof(ssSkP6,fi_predicates,
    ( ( ssSkP6("1")
    <=> $true )
    & ( ssSkP6("2")
    <=> $false )
    & ( ssSkP6("3")
    <=> $false ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN518-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 05:10:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Paradox, version 4.0, 2010-06-29.
% 0.12/0.34  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.21/0.45  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.57  +++ BEGIN MODEL
% 0.42/0.57  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.42/0.58  +++ END MODEL
% 0.42/0.58  +++ RESULT: Satisfiable
% 0.42/0.58  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------