TSTP Solution File: LCL647+1.005 by DarwinFM---1.4.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : DarwinFM---1.4.5
% Problem  : LCL647+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s

% Computer : n025.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  : 0s
% DateTime : Sun Jul 17 08:56:49 EDT 2022

% Result   : CounterSatisfiable 2.73s 2.98s
% Output   : FiniteModel 2.73s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    6

% Comments : 
%------------------------------------------------------------------------------
fof(interpretation_domain,fi_domain,
    ! [X] :
      ( X = e1
      | X = e2
      | X = e3
      | X = e4
      | X = e5
      | X = e6 ) ).

fof(interpretation_domain_distinct,fi_domain,
    ( e1 != e2
    & e1 != e3
    & e1 != e4
    & e1 != e5
    & e1 != e6
    & e2 != e3
    & e2 != e4
    & e2 != e5
    & e2 != e6
    & e3 != e4
    & e3 != e5
    & e3 != e6
    & e4 != e5
    & e4 != e6
    & e5 != e6 ) ).

fof(interpretation_terms,fi_functors,
    ( ! [X0,X1,X2,X3] : esk10_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3,X4] : esk11_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2,X3,X4] : esk12_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2,X3,X4] : esk13_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2,X3] : esk14_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3] : esk15_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3] : esk16_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3,X4] : esk17_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2,X3,X4] : esk18_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2,X3] : esk19_4(X0,X1,X2,X3) = e1
    & esk1_0 = e1
    & ! [X0,X1,X2,X3] : esk20_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3] : esk21_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3,X4] : esk22_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2,X3,X4] : esk23_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2] : esk24_3(X0,X1,X2) = e1
    & ! [X0,X1,X2] : esk25_3(X0,X1,X2) = e1
    & ! [X0,X1,X2,X3,X4] :
        ( esk26_4(X0,X1,X2,X3) = X4
      <=> ( ( X4 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4
                & X3 = e5 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5
            & X4 = e6 ) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( esk27_4(X0,X1,X2,X3) = X4
      <=> ( ( X4 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4
                & X3 = e5 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5
            & X4 = e6 ) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( esk28_4(X0,X1,X2,X3) = X4
      <=> ( ( X4 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4
                & X3 = e5 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5
            & X4 = e6 ) ) )
    & ! [X0,X1,X2] : esk29_3(X0,X1,X2) = e1
    & ! [X0,X1,X2,X3,X4] : esk2_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2] : esk30_3(X0,X1,X2) = e1
    & ! [X0,X1,X2,X3] : esk31_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3] : esk32_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3] : esk33_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3] : esk34_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2] : esk35_3(X0,X1,X2) = e1
    & ! [X0,X1,X2] : esk36_3(X0,X1,X2) = e1
    & ! [X0,X1,X2,X3,X4] :
        ( esk37_4(X0,X1,X2,X3) = X4
      <=> ( ( X4 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4
                & X3 = e5 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5
            & X4 = e6 ) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( esk38_4(X0,X1,X2,X3) = X4
      <=> ( ( X4 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4
                & X3 = e5 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5
            & X4 = e6 ) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( esk39_4(X0,X1,X2,X3) = X4
      <=> ( ( X4 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4
                & X3 = e5 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5
            & X4 = e6 ) ) )
    & ! [X0,X1,X2,X3,X4] : esk3_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1] : esk40_2(X0,X1) = e1
    & ! [X0,X1] : esk41_2(X0,X1) = e1
    & ! [X0,X1] : esk42_2(X0,X1) = e1
    & ! [X0,X1,X2,X3] :
        ( esk43_3(X0,X1,X2) = X3
      <=> ( ( X3 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5 ) ) )
    & ! [X0,X1,X2,X3] :
        ( esk44_3(X0,X1,X2) = X3
      <=> ( ( X3 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5 ) ) )
    & ! [X0,X1] : esk45_2(X0,X1) = e1
    & ! [X0,X1] : esk46_2(X0,X1) = e1
    & ! [X0,X1] : esk47_2(X0,X1) = e1
    & ! [X0,X1,X2,X3] :
        ( esk48_3(X0,X1,X2) = X3
      <=> ( ( X3 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5 ) ) )
    & ! [X0,X1,X2,X3] :
        ( esk49_3(X0,X1,X2) = X3
      <=> ( ( X3 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5 ) ) )
    & ! [X0,X1,X2,X3,X4] : esk4_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1] : esk50_2(X0,X1) = e1
    & ! [X0,X1] : esk51_2(X0,X1) = e1
    & ! [X0,X1] : esk52_2(X0,X1) = e1
    & ! [X0,X1,X2,X3] :
        ( esk53_3(X0,X1,X2) = X3
      <=> ( ( X3 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5 ) ) )
    & ! [X0,X1,X2,X3] :
        ( esk54_3(X0,X1,X2) = X3
      <=> ( ( X3 = e1
            & ~ ( X0 = e2
                & X1 = e3
                & X2 = e4 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4
            & X3 = e5 ) ) )
    & ! [X0] : esk55_1(X0) = e1
    & ! [X0] : esk56_1(X0) = e1
    & ! [X0,X1,X2] :
        ( esk57_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2] :
        ( esk58_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2] :
        ( esk59_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2,X3,X4] : esk5_5(X0,X1,X2,X3,X4) = e1
    & ! [X0] : esk60_1(X0) = e1
    & ! [X0] : esk61_1(X0) = e1
    & ! [X0,X1,X2] :
        ( esk62_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2] :
        ( esk63_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2] :
        ( esk64_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0] : esk65_1(X0) = e1
    & ! [X0] : esk66_1(X0) = e1
    & ! [X0,X1,X2] :
        ( esk67_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2] :
        ( esk68_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2] :
        ( esk69_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1,X2,X3,X4] : esk6_5(X0,X1,X2,X3,X4) = e1
    & ! [X0,X1,X2] :
        ( esk70_2(X0,X1) = X2
      <=> ( ( X2 = e1
            & ~ ( X0 = e2
                & X1 = e3 ) )
          | ( X0 = e2
            & X1 = e3
            & X2 = e4 ) ) )
    & ! [X0,X1] :
        ( esk71_1(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e2 )
          | ( X0 = e2
            & X1 = e3 ) ) )
    & ! [X0,X1] :
        ( esk72_1(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e2 )
          | ( X0 = e2
            & X1 = e3 ) ) )
    & ! [X0,X1] :
        ( esk73_1(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e2 )
          | ( X0 = e2
            & X1 = e3 ) ) )
    & ! [X0,X1] :
        ( esk74_1(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e2 )
          | ( X0 = e2
            & X1 = e3 ) ) )
    & ! [X0,X1] :
        ( esk75_1(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e2 )
          | ( X0 = e2
            & X1 = e3 ) ) )
    & ! [X0,X1] :
        ( esk76_1(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e2 )
          | ( X0 = e2
            & X1 = e3 ) ) )
    & ! [X0,X1] :
        ( esk77_1(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e2 )
          | ( X0 = e2
            & X1 = e3 ) ) )
    & esk78_0 = e2
    & esk79_0 = e2
    & ! [X0,X1,X2,X3,X4] : esk7_5(X0,X1,X2,X3,X4) = e1
    & esk80_0 = e2
    & esk81_0 = e2
    & ! [X0,X1,X2,X3] : esk8_4(X0,X1,X2,X3) = e1
    & ! [X0,X1,X2,X3] : esk9_4(X0,X1,X2,X3) = e1 ) ).

fof(interpretation_atoms,fi_predicates,
    ( ! [X0] :
        ( p1(X0)
      <=> $false )
    & ! [X0] :
        ( p2(X0)
      <=> ( X0 = e3
          | X0 = e6
          | X0 = e5
          | X0 = e1
          | X0 = e4 ) )
    & ! [X0] :
        ( p3(X0)
      <=> ( X0 = e5
          | X0 = e1 ) )
    & ! [X0] :
        ( p4(X0)
      <=> ( X0 = e3
          | X0 = e6
          | X0 = e2
          | X0 = e5
          | X0 = e1
          | X0 = e4 ) )
    & ! [X0] :
        ( p5(X0)
      <=> $false )
    & ! [X0] :
        ( p6(X0)
      <=> ( X0 = e3
          | X0 = e6
          | X0 = e2
          | X0 = e5
          | X0 = e1 ) )
    & ! [X0,X1] :
        ( r1(X0,X1)
      <=> ( ( X0 = e3
            & X1 = e4 )
          | ( X0 = e6
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e3 )
          | ( X0 = e5
            & X1 = e6 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e4
            & X1 = e5 ) ) ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL647+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s
% 0.14/0.32  % Computer : n025.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit : 300
% 0.14/0.32  % DateTime : Sun Jul  3 06:55:10 EDT 2022
% 0.14/0.32  % CPUTime  : 
% 0.14/0.33  Defaulting to tptp format.
% 2.73/2.98  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/2.98  
% 2.73/2.98  MODEL (TPTP):
% 2.73/2.98  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------