TSTP Solution File: SYN544-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYN544-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n007.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 09:48:47 EDT 2022

% Result   : Satisfiable 0.20s 0.53s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

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

fof(a1,fi_functors,
    a1 = "1" ).

fof(a10,fi_functors,
    a10 = "1" ).

fof(a100,fi_functors,
    a100 = "1" ).

fof(a101,fi_functors,
    a101 = "2" ).

fof(a102,fi_functors,
    a102 = "1" ).

fof(a103,fi_functors,
    a103 = "1" ).

fof(a104,fi_functors,
    a104 = "1" ).

fof(a108,fi_functors,
    a108 = "1" ).

fof(a11,fi_functors,
    a11 = "1" ).

fof(a113,fi_functors,
    a113 = "1" ).

fof(a114,fi_functors,
    a114 = "1" ).

fof(a115,fi_functors,
    a115 = "1" ).

fof(a116,fi_functors,
    a116 = "2" ).

fof(a117,fi_functors,
    a117 = "1" ).

fof(a12,fi_functors,
    a12 = "1" ).

fof(a120,fi_functors,
    a120 = "1" ).

fof(a121,fi_functors,
    a121 = "1" ).

fof(a122,fi_functors,
    a122 = "1" ).

fof(a123,fi_functors,
    a123 = "1" ).

fof(a127,fi_functors,
    a127 = "1" ).

fof(a128,fi_functors,
    a128 = "1" ).

fof(a129,fi_functors,
    a129 = "1" ).

fof(a130,fi_functors,
    a130 = "1" ).

fof(a131,fi_functors,
    a131 = "1" ).

fof(a132,fi_functors,
    a132 = "1" ).

fof(a134,fi_functors,
    a134 = "1" ).

fof(a135,fi_functors,
    a135 = "1" ).

fof(a136,fi_functors,
    a136 = "2" ).

fof(a137,fi_functors,
    a137 = "1" ).

fof(a145,fi_functors,
    a145 = "1" ).

fof(a16,fi_functors,
    a16 = "2" ).

fof(a17,fi_functors,
    a17 = "1" ).

fof(a18,fi_functors,
    a18 = "1" ).

fof(a2,fi_functors,
    a2 = "2" ).

fof(a22,fi_functors,
    a22 = "2" ).

fof(a23,fi_functors,
    a23 = "1" ).

fof(a24,fi_functors,
    a24 = "1" ).

fof(a25,fi_functors,
    a25 = "1" ).

fof(a26,fi_functors,
    a26 = "1" ).

fof(a27,fi_functors,
    a27 = "1" ).

fof(a28,fi_functors,
    a28 = "1" ).

fof(a29,fi_functors,
    a29 = "1" ).

fof(a3,fi_functors,
    a3 = "1" ).

fof(a30,fi_functors,
    a30 = "1" ).

fof(a31,fi_functors,
    a31 = "1" ).

fof(a32,fi_functors,
    a32 = "2" ).

fof(a33,fi_functors,
    a33 = "1" ).

fof(a34,fi_functors,
    a34 = "1" ).

fof(a35,fi_functors,
    a35 = "1" ).

fof(a36,fi_functors,
    a36 = "1" ).

fof(a37,fi_functors,
    a37 = "1" ).

fof(a38,fi_functors,
    a38 = "2" ).

fof(a39,fi_functors,
    a39 = "2" ).

fof(a4,fi_functors,
    a4 = "1" ).

fof(a40,fi_functors,
    a40 = "1" ).

fof(a41,fi_functors,
    a41 = "2" ).

fof(a42,fi_functors,
    a42 = "1" ).

fof(a43,fi_functors,
    a43 = "1" ).

fof(a44,fi_functors,
    a44 = "1" ).

fof(a45,fi_functors,
    a45 = "1" ).

fof(a46,fi_functors,
    a46 = "1" ).

fof(a47,fi_functors,
    a47 = "2" ).

fof(a48,fi_functors,
    a48 = "2" ).

fof(a49,fi_functors,
    a49 = "2" ).

fof(a5,fi_functors,
    a5 = "1" ).

fof(a51,fi_functors,
    a51 = "2" ).

fof(a52,fi_functors,
    a52 = "1" ).

fof(a53,fi_functors,
    a53 = "1" ).

fof(a54,fi_functors,
    a54 = "1" ).

fof(a55,fi_functors,
    a55 = "1" ).

fof(a56,fi_functors,
    a56 = "1" ).

fof(a57,fi_functors,
    a57 = "1" ).

fof(a58,fi_functors,
    a58 = "1" ).

fof(a59,fi_functors,
    a59 = "1" ).

fof(a6,fi_functors,
    a6 = "1" ).

fof(a60,fi_functors,
    a60 = "1" ).

fof(a61,fi_functors,
    a61 = "1" ).

fof(a62,fi_functors,
    a62 = "1" ).

fof(a63,fi_functors,
    a63 = "1" ).

fof(a64,fi_functors,
    a64 = "1" ).

fof(a65,fi_functors,
    a65 = "1" ).

fof(a66,fi_functors,
    a66 = "1" ).

fof(a67,fi_functors,
    a67 = "1" ).

fof(a68,fi_functors,
    a68 = "1" ).

fof(a69,fi_functors,
    a69 = "1" ).

fof(a7,fi_functors,
    a7 = "1" ).

fof(a70,fi_functors,
    a70 = "1" ).

fof(a71,fi_functors,
    a71 = "1" ).

fof(a72,fi_functors,
    a72 = "1" ).

fof(a75,fi_functors,
    a75 = "1" ).

fof(a81,fi_functors,
    a81 = "1" ).

fof(a82,fi_functors,
    a82 = "1" ).

fof(a83,fi_functors,
    a83 = "2" ).

fof(a84,fi_functors,
    a84 = "1" ).

fof(a85,fi_functors,
    a85 = "2" ).

fof(a86,fi_functors,
    a86 = "1" ).

fof(a87,fi_functors,
    a87 = "1" ).

fof(a88,fi_functors,
    a88 = "1" ).

fof(a89,fi_functors,
    a89 = "1" ).

fof(a90,fi_functors,
    a90 = "1" ).

fof(a91,fi_functors,
    a91 = "1" ).

fof(a92,fi_functors,
    a92 = "1" ).

fof(a93,fi_functors,
    a93 = "1" ).

fof(a94,fi_functors,
    a94 = "1" ).

fof(a95,fi_functors,
    a95 = "1" ).

fof(a96,fi_functors,
    a96 = "1" ).

fof(a97,fi_functors,
    a97 = "1" ).

fof(a99,fi_functors,
    a99 = "1" ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(c6_0,fi_predicates,
    ( c6_0
  <=> $true ) ).

fof(c6_1,fi_predicates,
    ( ( c6_1("1")
    <=> $true )
    & ( c6_1("2")
    <=> $false ) ) ).

fof(c6_2,fi_predicates,
    ( ( c6_2("1","1")
    <=> $false )
    & ( c6_2("1","2")
    <=> $false )
    & ( c6_2("2","1")
    <=> $true )
    & ( c6_2("2","2")
    <=> $true ) ) ).

fof(c7_0,fi_predicates,
    ( c7_0
  <=> $true ) ).

fof(c7_1,fi_predicates,
    ( ( c7_1("1")
    <=> $true )
    & ( c7_1("2")
    <=> $false ) ) ).

fof(c7_2,fi_predicates,
    ( ( c7_2("1","1")
    <=> $false )
    & ( c7_2("1","2")
    <=> $false )
    & ( c7_2("2","1")
    <=> $false )
    & ( c7_2("2","2")
    <=> $true ) ) ).

fof(c8_0,fi_predicates,
    ( c8_0
  <=> $false ) ).

fof(c8_1,fi_predicates,
    ( ( c8_1("1")
    <=> $true )
    & ( c8_1("2")
    <=> $false ) ) ).

fof(c8_2,fi_predicates,
    ( ( c8_2("1","1")
    <=> $false )
    & ( c8_2("1","2")
    <=> $true )
    & ( c8_2("2","1")
    <=> $false )
    & ( c8_2("2","2")
    <=> $true ) ) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(ssSkP7,fi_predicates,
    ( ( ssSkP7("1")
    <=> $true )
    & ( ssSkP7("2")
    <=> $true ) ) ).

fof(ssSkP8,fi_predicates,
    ( ( ssSkP8("1")
    <=> $true )
    & ( ssSkP8("2")
    <=> $true ) ) ).

fof(ssSkP9,fi_predicates,
    ( ( ssSkP9("1")
    <=> $true )
    & ( ssSkP9("2")
    <=> $false ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN544-1 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 02:45:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Paradox, version 4.0, 2010-06-29.
% 0.12/0.33  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.20/0.42  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  +++ BEGIN MODEL
% 0.20/0.52  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.53  +++ END MODEL
% 0.20/0.53  +++ RESULT: Satisfiable
% 0.20/0.53  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------