TSTP Solution File: CAT019-10 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : CAT019-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n018.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 : Fri Jul 15 00:05:58 EDT 2022

% Result   : Satisfiable 0.13s 0.37s
% Output   : FiniteModel 0.13s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

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

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

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

fof(codomain,fi_functors,
    ( codomain("1") = "1"
    & codomain("2") = "1" ) ).

fof(compose,fi_functors,
    ( compose("1","1") = "1"
    & compose("1","2") = "2"
    & compose("2","1") = "2"
    & compose("2","2") = "1" ) ).

fof(domain_001,fi_functors,
    ( domain("1") = "1"
    & domain("2") = "1" ) ).

fof(equivalent,fi_functors,
    ( equivalent("1","1") = "2"
    & equivalent("1","2") = "2"
    & equivalent("2","1") = "2"
    & equivalent("2","2") = "2" ) ).

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

fof(ifeq2,fi_functors,
    ( ifeq2("1","1","1","1") = "1"
    & ifeq2("1","1","1","2") = "1"
    & ifeq2("1","1","2","1") = "2"
    & ifeq2("1","1","2","2") = "2"
    & ifeq2("1","2","1","1") = "1"
    & ifeq2("1","2","1","2") = "1"
    & ifeq2("1","2","2","1") = "1"
    & ifeq2("1","2","2","2") = "1"
    & ifeq2("2","1","1","1") = "1"
    & ifeq2("2","1","1","2") = "2"
    & ifeq2("2","1","2","1") = "1"
    & ifeq2("2","1","2","2") = "2"
    & ifeq2("2","2","1","1") = "1"
    & ifeq2("2","2","1","2") = "1"
    & ifeq2("2","2","2","1") = "2"
    & ifeq2("2","2","2","2") = "2" ) ).

fof(ifeq3,fi_functors,
    ( ifeq3("1","1","1","1") = "1"
    & ifeq3("1","1","1","2") = "1"
    & ifeq3("1","1","2","1") = "2"
    & ifeq3("1","1","2","2") = "2"
    & ifeq3("1","2","1","1") = "1"
    & ifeq3("1","2","1","2") = "1"
    & ifeq3("1","2","2","1") = "1"
    & ifeq3("1","2","2","2") = "1"
    & ifeq3("2","1","1","1") = "1"
    & ifeq3("2","1","1","2") = "1"
    & ifeq3("2","1","2","1") = "1"
    & ifeq3("2","1","2","2") = "1"
    & ifeq3("2","2","1","1") = "1"
    & ifeq3("2","2","1","2") = "1"
    & ifeq3("2","2","2","1") = "2"
    & ifeq3("2","2","2","2") = "2" ) ).

fof(ifeq4,fi_functors,
    ( ifeq4("1","1","1","1") = "1"
    & ifeq4("1","1","1","2") = "1"
    & ifeq4("1","1","2","1") = "2"
    & ifeq4("1","1","2","2") = "2"
    & ifeq4("1","2","1","1") = "1"
    & ifeq4("1","2","1","2") = "1"
    & ifeq4("1","2","2","1") = "1"
    & ifeq4("1","2","2","2") = "1"
    & ifeq4("2","1","1","1") = "2"
    & ifeq4("2","1","1","2") = "1"
    & ifeq4("2","1","2","1") = "1"
    & ifeq4("2","1","2","2") = "1"
    & ifeq4("2","2","1","1") = "1"
    & ifeq4("2","2","1","2") = "1"
    & ifeq4("2","2","2","1") = "2"
    & ifeq4("2","2","2","2") = "2" ) ).

fof(there_exists,fi_functors,
    ( there_exists("1") = "2"
    & there_exists("2") = "2" ) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT019-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun May 29 22:04:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  Paradox, version 4.0, 2010-06-29.
% 0.13/0.34  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.13/0.35  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  +++ BEGIN MODEL
% 0.13/0.37  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37  +++ END MODEL
% 0.13/0.37  +++ RESULT: Satisfiable
% 0.13/0.37  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------