TSTP Solution File: SYO641-10 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYO641-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n020.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 19:07:13 EDT 2022

% Result   : Satisfiable 0.12s 0.36s
% Output   : FiniteModel 0.12s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    3

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

fof(f,fi_functors,
    ( f("1","1","1") = "3"
    & f("1","1","2") = "3"
    & f("1","1","3") = "3"
    & f("1","2","1") = "3"
    & f("1","2","2") = "3"
    & f("1","2","3") = "3"
    & f("1","3","1") = "3"
    & f("1","3","2") = "1"
    & f("1","3","3") = "1"
    & f("2","1","1") = "1"
    & f("2","1","2") = "1"
    & f("2","1","3") = "1"
    & f("2","2","1") = "3"
    & f("2","2","2") = "3"
    & f("2","2","3") = "3"
    & f("2","3","1") = "1"
    & f("2","3","2") = "1"
    & f("2","3","3") = "3"
    & f("3","1","1") = "3"
    & f("3","1","2") = "3"
    & f("3","1","3") = "3"
    & f("3","2","1") = "3"
    & f("3","2","2") = "3"
    & f("3","2","3") = "3"
    & f("3","3","1") = "3"
    & f("3","3","2") = "3"
    & f("3","3","3") = "3" ) ).

fof(ifeq,fi_functors,
    ( ifeq("1","1","1","1") = "1"
    & ifeq("1","1","1","2") = "1"
    & ifeq("1","1","1","3") = "1"
    & ifeq("1","1","2","1") = "2"
    & ifeq("1","1","2","2") = "2"
    & ifeq("1","1","2","3") = "2"
    & ifeq("1","1","3","1") = "3"
    & ifeq("1","1","3","2") = "3"
    & ifeq("1","1","3","3") = "3"
    & ifeq("1","2","1","1") = "1"
    & ifeq("1","2","1","2") = "2"
    & ifeq("1","2","1","3") = "2"
    & ifeq("1","2","2","1") = "1"
    & ifeq("1","2","2","2") = "2"
    & ifeq("1","2","2","3") = "2"
    & ifeq("1","2","3","1") = "2"
    & ifeq("1","2","3","2") = "2"
    & ifeq("1","2","3","3") = "2"
    & ifeq("1","3","1","1") = "2"
    & ifeq("1","3","1","2") = "2"
    & ifeq("1","3","1","3") = "2"
    & ifeq("1","3","2","1") = "2"
    & ifeq("1","3","2","2") = "2"
    & ifeq("1","3","2","3") = "2"
    & ifeq("1","3","3","1") = "2"
    & ifeq("1","3","3","2") = "2"
    & ifeq("1","3","3","3") = "2"
    & ifeq("2","1","1","1") = "1"
    & ifeq("2","1","1","2") = "1"
    & ifeq("2","1","1","3") = "2"
    & ifeq("2","1","2","1") = "1"
    & ifeq("2","1","2","2") = "1"
    & ifeq("2","1","2","3") = "2"
    & ifeq("2","1","3","1") = "1"
    & ifeq("2","1","3","2") = "2"
    & ifeq("2","1","3","3") = "2"
    & ifeq("2","2","1","1") = "1"
    & ifeq("2","2","1","2") = "1"
    & ifeq("2","2","1","3") = "1"
    & ifeq("2","2","2","1") = "2"
    & ifeq("2","2","2","2") = "2"
    & ifeq("2","2","2","3") = "2"
    & ifeq("2","2","3","1") = "3"
    & ifeq("2","2","3","2") = "3"
    & ifeq("2","2","3","3") = "3"
    & ifeq("2","3","1","1") = "3"
    & ifeq("2","3","1","2") = "3"
    & ifeq("2","3","1","3") = "3"
    & ifeq("2","3","2","1") = "3"
    & ifeq("2","3","2","2") = "3"
    & ifeq("2","3","2","3") = "3"
    & ifeq("2","3","3","1") = "3"
    & ifeq("2","3","3","2") = "3"
    & ifeq("2","3","3","3") = "3"
    & ifeq("3","1","1","1") = "1"
    & ifeq("3","1","1","2") = "3"
    & ifeq("3","1","1","3") = "3"
    & ifeq("3","1","2","1") = "2"
    & ifeq("3","1","2","2") = "3"
    & ifeq("3","1","2","3") = "3"
    & ifeq("3","1","3","1") = "1"
    & ifeq("3","1","3","2") = "3"
    & ifeq("3","1","3","3") = "3"
    & ifeq("3","2","1","1") = "3"
    & ifeq("3","2","1","2") = "3"
    & ifeq("3","2","1","3") = "3"
    & ifeq("3","2","2","1") = "3"
    & ifeq("3","2","2","2") = "3"
    & ifeq("3","2","2","3") = "3"
    & ifeq("3","2","3","1") = "3"
    & ifeq("3","2","3","2") = "3"
    & ifeq("3","2","3","3") = "3"
    & ifeq("3","3","1","1") = "1"
    & ifeq("3","3","1","2") = "1"
    & ifeq("3","3","1","3") = "1"
    & ifeq("3","3","2","1") = "2"
    & ifeq("3","3","2","2") = "2"
    & ifeq("3","3","2","3") = "2"
    & ifeq("3","3","3","1") = "3"
    & ifeq("3","3","3","2") = "3"
    & ifeq("3","3","3","3") = "3" ) ).

fof(sK1_notref3_Y1,fi_functors,
    ( sK1_notref3_Y1("1") = "1"
    & sK1_notref3_Y1("2") = "3"
    & sK1_notref3_Y1("3") = "2" ) ).

fof(sK2_notref3_Y3,fi_functors,
    sK2_notref3_Y3 = "1" ).

fof(sK3_notref3_Y2,fi_functors,
    sK3_notref3_Y2 = "2" ).

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

fof(tuple,fi_functors,
    ( tuple("1","1","1") = "1"
    & tuple("1","1","2") = "2"
    & tuple("1","1","3") = "2"
    & tuple("1","2","1") = "1"
    & tuple("1","2","2") = "2"
    & tuple("1","2","3") = "2"
    & tuple("1","3","1") = "2"
    & tuple("1","3","2") = "2"
    & tuple("1","3","3") = "2"
    & tuple("2","1","1") = "1"
    & tuple("2","1","2") = "1"
    & tuple("2","1","3") = "2"
    & tuple("2","2","1") = "1"
    & tuple("2","2","2") = "2"
    & tuple("2","2","3") = "2"
    & tuple("2","3","1") = "2"
    & tuple("2","3","2") = "2"
    & tuple("2","3","3") = "2"
    & tuple("3","1","1") = "2"
    & tuple("3","1","2") = "2"
    & tuple("3","1","3") = "2"
    & tuple("3","2","1") = "2"
    & tuple("3","2","2") = "2"
    & tuple("3","2","3") = "2"
    & tuple("3","3","1") = "2"
    & tuple("3","3","2") = "2"
    & tuple("3","3","3") = "2" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYO641-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34  % Computer : n020.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 : Sat Jul  9 02:00:28 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.35  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  +++ BEGIN MODEL
% 0.12/0.36  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36  +++ END MODEL
% 0.12/0.36  +++ RESULT: Satisfiable
% 0.12/0.36  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------