TMTP Model File: SYN720-1.001-FMo

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : DarwinFM---1.4.5
% Problem    : SYN720-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s

% Computer   : n181.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 04:09:42 EDT 2015

% Result     : Satisfiable 0.03s
% Output     : FiniteModel 0.03s
% Verified   : 
% Statistics : Number of formulae       :    3 (   3 expanded)
%              Number of leaves         :    3 (   3 expanded)
%              Depth                    :    0
%              Number of atoms          :  173 ( 173 expanded)
%              Number of equality atoms :  125 ( 125 expanded)
%              Maximal formula depth    :   49 (  19 average)
%              Maximal term depth       :    1 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
fof(interpretation_domain,fi_domain,(
    ! [X] : X = e1 )).

fof(interpretation_terms,fi_functors,
    ( a = e1
    & b = e1
    & c = e1
    & d = e1
    & e = e1 )).

fof(interpretation_atoms,fi_predicates,
    ( ! [X0] :
        ( k0(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( k1(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( k2(X0,X1)
      <=> ( X1 = e1
          | X1 = X0 ) )
    & ! [X0,X1,X2] :
        ( k3(X0,X1,X2)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X1 = X0
            & X2 = e1 )
          | X2 = X0 ) )
    & ! [X0] :
        ( k4(X0)
      <=> X0 = e1 )
    & ! [X0] : k5(X0)
    & ! [X0] :
        ( l0(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( l1(X0,X1)
      <=> ( X0 = e1
          | X1 = e1 ) )
    & ! [X0,X1] :
        ( l2(X0,X1)
      <=> ( X1 = e1
          | X1 = X0 ) )
    & ! [X0,X1] :
        ( l3(X0,X1)
      <=> ( X0 = e1
          | X1 = X0 ) )
    & ! [X0] : l4(X0)
    & ! [X0] :
        ( l5(X0)
      <=> X0 = e1 )
    & ! [X0,X1,X2] :
        ( m0(X0,X1,X2)
      <=> ( ( X0 = e1
            & X2 = e1 )
          | X1 = e1 ) )
    & ! [X0,X1,X2] :
        ( m1(X0,X1,X2)
      <=> ( ( X0 = e1
            & X2 = e1 )
          | ( X0 = e1
            & X2 = X1 )
          | ( X1 = e1
            & X2 = e1 )
          | ( X1 = e1
            & X2 = X0 )
          | ( X1 = X0
            & X2 = e1 )
          | ( X1 = X0
            & X2 = X0 ) ) )
    & ! [X0] :
        ( m2(X0)
      <=> X0 = e1 )
    & ! [X0,X1,X2] :
        ( m3(X0,X1,X2)
      <=> ( ( X0 = e1
            & X2 = e1 )
          | ( X1 = e1
            & X2 = e1 )
          | ( X1 = e1
            & X2 = X0 )
          | ( X1 = X0
            & X2 = e1 )
          | ( X1 = X0
            & X2 = X0 ) ) )
    & ! [X0,X1] : m4(X0,X1)
    & ! [X0,X1] : m5(X0,X1)
    & ! [X0,X1] :
        ( n0(X0,X1)
      <=> ( X0 = e1
          & X1 = e1 ) )
    & ! [X0,X1,X2] :
        ( n1(X0,X1,X2)
      <=> ( ( X0 = e1
            & X2 = e1 )
          | ( X0 = e1
            & X2 = X1 )
          | ( X1 = e1
            & X2 = e1 )
          | ( X1 = e1
            & X2 = X0 )
          | X1 = X0 ) )
    & ! [X0] : n2(X0)
    & ! [X0] : n3(X0)
    & ! [X0,X1] : n4(X0,X1)
    & ! [X0,X1] : n5(X0,X1)
    & ! [X0,X1] :
        ( p0(X0,X1)
      <=> X0 = e1 )
    & ! [X0,X1,X2] :
        ( p1(X0,X1,X2)
      <=> ( X0 = e1
          | ( X1 = e1
            & X2 = X0 )
          | X2 = e1
          | ( X1 = X0
            & X2 = X0 ) ) )
    & ! [X0,X1,X2] :
        ( p2(X0,X1,X2)
      <=> ( X0 = e1
          | ( X1 = e1
            & X2 = X0 )
          | X2 = X1
          | X1 = X0 ) )
    & ! [X0,X1,X2] :
        ( p3(X0,X1,X2)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | X2 = e1
          | X2 = X1 ) )
    & ! [X0,X1,X2] :
        ( p4(X0,X1,X2)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X2 = e1 )
          | ( X0 = e1
            & X2 = X1 )
          | ( X1 = e1
            & X2 = X0 )
          | ( X1 = X0
            & X2 = X0 ) ) )
    & ! [X0,X1,X2] : p5(X0,X1,X2)
    & ! [X0,X1] :
        ( q0(X0,X1)
      <=> X1 = e1 )
    & ! [X0,X1,X2] :
        ( q1(X0,X1,X2)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X2 = X1 )
          | ( X1 = e1
            & X2 = e1 )
          | ( X1 = e1
            & X2 = X0 )
          | ( X1 = X0
            & X2 = e1 )
          | ( X1 = X0
            & X2 = X0 ) ) )
    & ! [X0,X1,X2] :
        ( q2(X0,X1,X2)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X2 = e1 )
          | ( X1 = e1
            & X2 = e1 )
          | ( X1 = e1
            & X2 = X0 )
          | ( X1 = X0
            & X2 = e1 )
          | ( X1 = X0
            & X2 = X0 ) ) )
    & ! [X0,X1] :
        ( q3(X0,X1)
      <=> ( X0 = e1
          | X1 = e1
          | X1 = X0 ) )
    & ! [X0,X1] :
        ( q4(X0,X1)
      <=> ( X0 = e1
          | X1 = e1
          | X1 = X0 ) )
    & ! [X0,X1] : q5(X0,X1)
    & ! [X0] :
        ( r0(X0)
      <=> X0 = e1 )
    & ! [X0] : r1(X0)
    & ! [X0] :
        ( r2(X0)
      <=> X0 = e1 )
    & ! [X0,X1,X2] :
        ( r3(X0,X1,X2)
      <=> ( ( X0 = e1
            & X2 = X1 )
          | X2 = e1
          | X2 = X0 ) )
    & ! [X0] : r4(X0)
    & ! [X0,X1] : r5(X0,X1)
    & ! [X0] :
        ( s0(X0)
      <=> X0 = e1 )
    & ! [X0] : s1(X0)
    & ! [X0] : s2(X0)
    & ! [X0,X1] : s3(X0,X1)
    & ! [X0] : s4(X0)
    & ! [X0] : s5(X0) )).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem    : SYN720-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.02  % Command    : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s
% 0.01/1.05  % Computer   : n181.star.cs.uiowa.edu
% 0.01/1.05  % Model      : x86_64 x86_64
% 0.01/1.05  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.01/1.05  % Memory     : 32286.75MB
% 0.01/1.05  % OS         : Linux 2.6.32-573.1.1.el6.x86_64
% 0.01/1.05  % CPULimit   : 300
% 0.01/1.05  % DateTime   : Mon Aug  3 23:53:46 CDT 2015
% 0.01/1.06  % CPUTime    : 
% 0.01/1.07  Defaulting to tptp format.
% 0.03/1.12  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/1.12  
% 0.03/1.12  MODEL (TPTP):
% 0.03/1.12  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/1.13  fof(interpretation_domain, fi_domain,
% 0.03/1.13      ! [X] : ( X = e1 )
% 0.03/1.13      ).
% 0.03/1.13  
% 0.03/1.13  fof(interpretation_terms, fi_functors, (
% 0.03/1.13      ( (a = e1) )
% 0.03/1.13      &
% 0.03/1.13      ( (b = e1) )
% 0.03/1.13      &
% 0.03/1.13      ( (c = e1) )
% 0.03/1.13      &
% 0.03/1.13      ( (d = e1) )
% 0.03/1.13      &
% 0.03/1.13      ( (e = e1) )
% 0.03/1.13      ) ).
% 0.03/1.13  
% 0.03/1.13  fof(interpretation_atoms, fi_predicates, (
% 0.03/1.13      ( ! [X0] :  ( k0(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( k1(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( k2(X0, X1) <=> (
% 0.03/1.13          ( (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( k3(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( k4(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : k5(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( l0(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( l1(X0, X1) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( l2(X0, X1) <=> (
% 0.03/1.13          ( (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( l3(X0, X1) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : l4(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( l5(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( m0(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( m1(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X0 = e1) & (X2 = X1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( m2(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( m3(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] : m4(X0, X1) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] : m5(X0, X1) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( n0(X0, X1) <=> (
% 0.03/1.13          ( (X0 = e1) & (X1 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( n1(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X0 = e1) & (X2 = X1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : n2(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : n3(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] : n4(X0, X1) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] : n5(X0, X1) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( p0(X0, X1) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( p1(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( p2(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X2 = X1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( p3(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X2 = X1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( p4(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X0 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X0 = e1) & (X2 = X1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] : p5(X0, X1, X2) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( q0(X0, X1) <=> (
% 0.03/1.13          ( (X1 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( q1(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X0 = e1) & (X2 = X1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( q2(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X0 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) & (X2 = X0) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) & (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( q3(X0, X1) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] :  ( q4(X0, X1) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X1 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] : q5(X0, X1) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( r0(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : r1(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( r2(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1, X2] :  ( r3(X0, X1, X2) <=> (
% 0.03/1.13          ( (X0 = e1) & (X2 = X1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X2 = e1) )
% 0.03/1.13          |
% 0.03/1.13          ( (X2 = X0) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : r4(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] : r5(X0, X1) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] :  ( s0(X0) <=> (
% 0.03/1.13          ( (X0 = e1) )
% 0.03/1.13      ) ) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : s1(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : s2(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0, X1] : s3(X0, X1) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : s4(X0) )
% 0.03/1.13      &
% 0.03/1.13      ( ! [X0] : s5(X0) )
% 0.03/1.13      ) ).
% 0.03/1.13  SZS output end FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------