TMTP Model File: SYN720-1.005-FMo

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : Paradox---4.0
% Problem    : SYN720-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:short
% Command    : paradox --no-progress --time %d --tstp --model %s

% Computer   : n067.star.cs.uiowa.edu
% Model      : x86_64 x86_64
% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory     : 32286.75MB
% OS         : Linux 2.6.32-573.1.1.el6.x86_64
% CPULimit   : 300s
% DateTime   : Wed Aug  5 05:51:05 EDT 2015

% Result     : Satisfiable 0.01s
% Output     : FiniteModel 0.01s
% Verified   : 
% Statistics : Number of formulae       :   49 (  49 expanded)
%              Number of leaves         :   49 (  49 expanded)
%              Depth                    :    0
%              Number of atoms          :   97 (  97 expanded)
%              Number of equality atoms :    1 (   1 expanded)
%              Maximal formula depth    :    5 (   4 average)
%              Maximal term depth       :    1 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
%----WARNING: Paradox---4.0 format not known, defaulting to TPTP
% domain size is 1
fof(domain,fi_domain,(
    ! [X] : X = "1" )).

fof(k0,fi_predicates,(
    ! [X1] :
      ( k0(X1)
    <=> $true ) )).

fof(k1,fi_predicates,(
    ! [X1] :
      ( k1(X1)
    <=> $true ) )).

fof(k2,fi_predicates,(
    ! [X1,X2] :
      ( k2(X1,X2)
    <=> $true ) )).

fof(k3,fi_predicates,(
    ! [X1,X2,X3] :
      ( k3(X1,X2,X3)
    <=> $true ) )).

fof(k4,fi_predicates,(
    ! [X1] :
      ( k4(X1)
    <=> $true ) )).

fof(k5,fi_predicates,(
    ! [X1] :
      ( k5(X1)
    <=> $true ) )).

fof(l0,fi_predicates,(
    ! [X1] :
      ( l0(X1)
    <=> $true ) )).

fof(l1,fi_predicates,(
    ! [X1,X2] :
      ( l1(X1,X2)
    <=> $true ) )).

fof(l2,fi_predicates,(
    ! [X1,X2] :
      ( l2(X1,X2)
    <=> $true ) )).

fof(l3,fi_predicates,(
    ! [X1,X2] :
      ( l3(X1,X2)
    <=> $true ) )).

fof(l4,fi_predicates,(
    ! [X1] :
      ( l4(X1)
    <=> $true ) )).

fof(l5,fi_predicates,(
    ! [X1] :
      ( l5(X1)
    <=> $true ) )).

fof(m0,fi_predicates,(
    ! [X1,X2,X3] :
      ( m0(X1,X2,X3)
    <=> $true ) )).

fof(m1,fi_predicates,(
    ! [X1,X2,X3] :
      ( m1(X1,X2,X3)
    <=> $true ) )).

fof(m2,fi_predicates,(
    ! [X1] :
      ( m2(X1)
    <=> $true ) )).

fof(m3,fi_predicates,(
    ! [X1,X2,X3] :
      ( m3(X1,X2,X3)
    <=> $true ) )).

fof(m4,fi_predicates,(
    ! [X1,X2] :
      ( m4(X1,X2)
    <=> $true ) )).

fof(m5,fi_predicates,(
    ! [X1,X2] :
      ( m5(X1,X2)
    <=> $true ) )).

fof(n0,fi_predicates,(
    ! [X1,X2] :
      ( n0(X1,X2)
    <=> $true ) )).

fof(n1,fi_predicates,(
    ! [X1,X2,X3] :
      ( n1(X1,X2,X3)
    <=> $true ) )).

fof(n2,fi_predicates,(
    ! [X1] :
      ( n2(X1)
    <=> $true ) )).

fof(n3,fi_predicates,(
    ! [X1] :
      ( n3(X1)
    <=> $true ) )).

fof(n4,fi_predicates,(
    ! [X1,X2] :
      ( n4(X1,X2)
    <=> $true ) )).

fof(n5,fi_predicates,(
    ! [X1,X2] :
      ( n5(X1,X2)
    <=> $true ) )).

fof(p0,fi_predicates,(
    ! [X1,X2] :
      ( p0(X1,X2)
    <=> $true ) )).

fof(p1,fi_predicates,(
    ! [X1,X2,X3] :
      ( p1(X1,X2,X3)
    <=> $true ) )).

fof(p2,fi_predicates,(
    ! [X1,X2,X3] :
      ( p2(X1,X2,X3)
    <=> $true ) )).

fof(p3,fi_predicates,(
    ! [X1,X2,X3] :
      ( p3(X1,X2,X3)
    <=> $true ) )).

fof(p4,fi_predicates,(
    ! [X1,X2,X3] :
      ( p4(X1,X2,X3)
    <=> $true ) )).

fof(p5,fi_predicates,(
    ! [X1,X2,X3] :
      ( p5(X1,X2,X3)
    <=> $true ) )).

fof(q0,fi_predicates,(
    ! [X1,X2] :
      ( q0(X1,X2)
    <=> $true ) )).

fof(q1,fi_predicates,(
    ! [X1,X2,X3] :
      ( q1(X1,X2,X3)
    <=> $true ) )).

fof(q2,fi_predicates,(
    ! [X1,X2,X3] :
      ( q2(X1,X2,X3)
    <=> $true ) )).

fof(q3,fi_predicates,(
    ! [X1,X2] :
      ( q3(X1,X2)
    <=> $true ) )).

fof(q4,fi_predicates,(
    ! [X1,X2] :
      ( q4(X1,X2)
    <=> $true ) )).

fof(q5,fi_predicates,(
    ! [X1,X2] :
      ( q5(X1,X2)
    <=> $true ) )).

fof(r0,fi_predicates,(
    ! [X1] :
      ( r0(X1)
    <=> $true ) )).

fof(r1,fi_predicates,(
    ! [X1] :
      ( r1(X1)
    <=> $true ) )).

fof(r2,fi_predicates,(
    ! [X1] :
      ( r2(X1)
    <=> $true ) )).

fof(r3,fi_predicates,(
    ! [X1,X2,X3] :
      ( r3(X1,X2,X3)
    <=> $true ) )).

fof(r4,fi_predicates,(
    ! [X1] :
      ( r4(X1)
    <=> $true ) )).

fof(r5,fi_predicates,(
    ! [X1,X2] :
      ( r5(X1,X2)
    <=> $true ) )).

fof(s0,fi_predicates,(
    ! [X1] :
      ( s0(X1)
    <=> $true ) )).

fof(s1,fi_predicates,(
    ! [X1] :
      ( s1(X1)
    <=> $true ) )).

fof(s2,fi_predicates,(
    ! [X1] :
      ( s2(X1)
    <=> $true ) )).

fof(s3,fi_predicates,(
    ! [X1,X2] :
      ( s3(X1,X2)
    <=> $true ) )).

fof(s4,fi_predicates,(
    ! [X1] :
      ( s4(X1)
    <=> $true ) )).

fof(s5,fi_predicates,(
    ! [X1] :
      ( s5(X1)
    <=> $true ) )).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem    : SYN720-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.02  % Command    : paradox --no-progress --time %d --tstp --model %s
% 0.00/1.05  % Computer   : n067.star.cs.uiowa.edu
% 0.00/1.05  % Model      : x86_64 x86_64
% 0.00/1.05  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.00/1.05  % Memory     : 32286.75MB
% 0.00/1.05  % OS         : Linux 2.6.32-573.1.1.el6.x86_64
% 0.00/1.05  % CPULimit   : 300
% 0.00/1.05  % DateTime   : Mon Aug  3 16:20:51 CDT 2015
% 0.00/1.05  % CPUTime    : 
% 0.00/1.05  Paradox, version 4.0, 2010-06-29.
% 0.00/1.05  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/1.05  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.00/1.06  Reading 'Axioms/SYN001-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax') OK
% 0.01/1.11  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.01/1.20  +++ BEGIN MODEL
% 0.01/1.20  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.01/1.20  % domain size is 1
% 0.01/1.20  fof(domain, fi_domain,
% 0.01/1.20    (![X] : (X = "1"))
% 0.01/1.20  ).
% 0.01/1.20  
% 0.01/1.20  fof(k0, fi_predicates,
% 0.01/1.20    ( ![X1] : (k0(X1) <=> $true)
% 0.01/1.20    )
% 0.01/1.20  ).
% 0.01/1.20  
% 0.01/1.20  fof(k1, fi_predicates,
% 0.01/1.20    ( ![X1] : (k1(X1) <=> $true)
% 0.01/1.20    )
% 0.01/1.20  ).
% 0.01/1.20  
% 0.01/1.20  fof(k2, fi_predicates,
% 0.01/1.20    ( ![X1,X2] : (k2(X1,X2) <=> $true)
% 0.01/1.20    )
% 0.01/1.20  ).
% 0.01/1.20  
% 0.01/1.20  fof(k3, fi_predicates,
% 0.01/1.20    ( ![X1,X2,X3] : (k3(X1,X2,X3) <=> $true)
% 0.01/1.20    )
% 0.01/1.20  ).
% 0.01/1.20  
% 0.01/1.20  fof(k4, fi_predicates,
% 0.01/1.20    ( ![X1] : (k4(X1) <=> $true)
% 0.01/1.20    )
% 0.01/1.20  ).
% 0.01/1.20  
% 0.01/1.20  fof(k5, fi_predicates,
% 0.01/1.21    ( ![X1] : (k5(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(l0, fi_predicates,
% 0.01/1.21    ( ![X1] : (l0(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(l1, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (l1(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(l2, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (l2(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(l3, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (l3(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(l4, fi_predicates,
% 0.01/1.21    ( ![X1] : (l4(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(l5, fi_predicates,
% 0.01/1.21    ( ![X1] : (l5(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(m0, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (m0(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(m1, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (m1(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(m2, fi_predicates,
% 0.01/1.21    ( ![X1] : (m2(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(m3, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (m3(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(m4, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (m4(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(m5, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (m5(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(n0, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (n0(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(n1, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (n1(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(n2, fi_predicates,
% 0.01/1.21    ( ![X1] : (n2(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(n3, fi_predicates,
% 0.01/1.21    ( ![X1] : (n3(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(n4, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (n4(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(n5, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (n5(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(p0, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (p0(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(p1, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (p1(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(p2, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (p2(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(p3, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (p3(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(p4, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (p4(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(p5, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (p5(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(q0, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (q0(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(q1, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (q1(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(q2, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (q2(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(q3, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (q3(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(q4, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (q4(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(q5, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (q5(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(r0, fi_predicates,
% 0.01/1.21    ( ![X1] : (r0(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(r1, fi_predicates,
% 0.01/1.21    ( ![X1] : (r1(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(r2, fi_predicates,
% 0.01/1.21    ( ![X1] : (r2(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(r3, fi_predicates,
% 0.01/1.21    ( ![X1,X2,X3] : (r3(X1,X2,X3) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(r4, fi_predicates,
% 0.01/1.21    ( ![X1] : (r4(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(r5, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (r5(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(s0, fi_predicates,
% 0.01/1.21    ( ![X1] : (s0(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(s1, fi_predicates,
% 0.01/1.21    ( ![X1] : (s1(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(s2, fi_predicates,
% 0.01/1.21    ( ![X1] : (s2(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(s3, fi_predicates,
% 0.01/1.21    ( ![X1,X2] : (s3(X1,X2) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(s4, fi_predicates,
% 0.01/1.21    ( ![X1] : (s4(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  
% 0.01/1.21  fof(s5, fi_predicates,
% 0.01/1.21    ( ![X1] : (s5(X1) <=> $true)
% 0.01/1.21    )
% 0.01/1.21  ).
% 0.01/1.21  SZS output end FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.01/1.21  +++ END MODEL
% 0.01/1.21  +++ RESULT: Satisfiable
% 0.01/1.21  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------