TSTP Solution File: SWV197+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV197+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 12:23:18 EST 2010

% Result   : Theorem 0.29s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   48 (  17 unt;   0 def)
%            Number of atoms       :  451 ( 255 equ)
%            Maximal formula atoms :   72 (   9 avg)
%            Number of connectives :  524 ( 121   ~;  98   |; 286   &)
%                                         (   1 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn  52   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/tmp/tmpQb3HHk/sel_SWV197+1.p_1',leq_gt1) ).

fof(16,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/tmp/tmpQb3HHk/sel_SWV197+1.p_1',irreflexivity_gt) ).

fof(23,axiom,
    ! [X1,X2] :
      ( leq(X1,pred(X2))
    <=> gt(X2,X1) ),
    file('/tmp/tmpQb3HHk/sel_SWV197+1.p_1',leq_gt_pred) ).

fof(32,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,n2)
            & leq(X5,pred(pv5)) )
         => a_select3(u_defuse,X4,X5) = use )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,n2)
            & leq(X7,pred(pv5)) )
         => a_select3(z_defuse,X6,X7) = use ) )
   => ! [X8,X9] :
        ( ( leq(n0,X8)
          & leq(n0,X9)
          & leq(X8,n2)
          & leq(X9,pred(pv5)) )
       => ( ( ~ ( n0 = X8
                & pv5 = X9 )
            & ~ ( n1 = X8
                & pv5 = X9 )
            & ~ ( n2 = X8
                & pv5 = X9 ) )
         => a_select3(z_defuse,X8,X9) = use ) ) ),
    file('/tmp/tmpQb3HHk/sel_SWV197+1.p_1',quaternion_ds1_inuse_0008) ).

fof(52,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n0) )
     => X1 = n0 ),
    file('/tmp/tmpQb3HHk/sel_SWV197+1.p_1',finite_domain_0) ).

fof(68,negated_conjecture,
    ~ ( ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use
        & leq(n0,pv5)
        & leq(pv5,n0)
        & leq(pv5,n998)
        & ! [X4,X5] :
            ( ( leq(n0,X4)
              & leq(n0,X5)
              & leq(X4,n2)
              & leq(X5,pred(pv5)) )
           => a_select3(u_defuse,X4,X5) = use )
        & ! [X6,X7] :
            ( ( leq(n0,X6)
              & leq(n0,X7)
              & leq(X6,n2)
              & leq(X7,pred(pv5)) )
           => a_select3(z_defuse,X6,X7) = use ) )
     => ! [X8,X9] :
          ( ( leq(n0,X8)
            & leq(n0,X9)
            & leq(X8,n2)
            & leq(X9,pred(pv5)) )
         => ( ( ~ ( n0 = X8
                  & pv5 = X9 )
              & ~ ( n1 = X8
                  & pv5 = X9 )
              & ~ ( n2 = X8
                  & pv5 = X9 ) )
           => a_select3(z_defuse,X8,X9) = use ) ) ),
    inference(assume_negation,[status(cth)],[32]) ).

fof(69,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).

fof(70,plain,
    ( epred1_0
   => ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,n2)
            & leq(X5,pred(pv5)) )
         => a_select3(u_defuse,X4,X5) = use )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,n2)
            & leq(X7,pred(pv5)) )
         => a_select3(z_defuse,X6,X7) = use ) ) ),
    introduced(definition) ).

fof(71,negated_conjecture,
    ~ ( epred1_0
     => ! [X8,X9] :
          ( ( leq(n0,X8)
            & leq(n0,X9)
            & leq(X8,n2)
            & leq(X9,pred(pv5)) )
         => ( ( ~ ( n0 = X8
                  & pv5 = X9 )
              & ~ ( n1 = X8
                  & pv5 = X9 )
              & ~ ( n2 = X8
                  & pv5 = X9 ) )
           => a_select3(z_defuse,X8,X9) = use ) ) ),
    inference(apply_def,[status(esa)],[68,70,theory(equality)]) ).

fof(83,plain,
    ! [X1,X2] :
      ( ~ gt(X2,X1)
      | leq(X1,X2) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(84,plain,
    ! [X3,X4] :
      ( ~ gt(X4,X3)
      | leq(X3,X4) ),
    inference(variable_rename,[status(thm)],[83]) ).

cnf(85,plain,
    ( leq(X1,X2)
    | ~ gt(X2,X1) ),
    inference(split_conjunct,[status(thm)],[84]) ).

fof(106,plain,
    ! [X2] : ~ gt(X2,X2),
    inference(variable_rename,[status(thm)],[69]) ).

cnf(107,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[106]) ).

fof(122,plain,
    ! [X1,X2] :
      ( ( ~ leq(X1,pred(X2))
        | gt(X2,X1) )
      & ( ~ gt(X2,X1)
        | leq(X1,pred(X2)) ) ),
    inference(fof_nnf,[status(thm)],[23]) ).

fof(123,plain,
    ! [X3,X4] :
      ( ( ~ leq(X3,pred(X4))
        | gt(X4,X3) )
      & ( ~ gt(X4,X3)
        | leq(X3,pred(X4)) ) ),
    inference(variable_rename,[status(thm)],[122]) ).

cnf(125,plain,
    ( gt(X1,X2)
    | ~ leq(X2,pred(X1)) ),
    inference(split_conjunct,[status(thm)],[123]) ).

fof(140,negated_conjecture,
    ( epred1_0
    & ? [X8,X9] :
        ( leq(n0,X8)
        & leq(n0,X9)
        & leq(X8,n2)
        & leq(X9,pred(pv5))
        & ( n0 != X8
          | pv5 != X9 )
        & ( n1 != X8
          | pv5 != X9 )
        & ( n2 != X8
          | pv5 != X9 )
        & a_select3(z_defuse,X8,X9) != use ) ),
    inference(fof_nnf,[status(thm)],[71]) ).

fof(141,negated_conjecture,
    ( epred1_0
    & ? [X10,X11] :
        ( leq(n0,X10)
        & leq(n0,X11)
        & leq(X10,n2)
        & leq(X11,pred(pv5))
        & ( n0 != X10
          | pv5 != X11 )
        & ( n1 != X10
          | pv5 != X11 )
        & ( n2 != X10
          | pv5 != X11 )
        & a_select3(z_defuse,X10,X11) != use ) ),
    inference(variable_rename,[status(thm)],[140]) ).

fof(142,negated_conjecture,
    ( epred1_0
    & leq(n0,esk1_0)
    & leq(n0,esk2_0)
    & leq(esk1_0,n2)
    & leq(esk2_0,pred(pv5))
    & ( n0 != esk1_0
      | pv5 != esk2_0 )
    & ( n1 != esk1_0
      | pv5 != esk2_0 )
    & ( n2 != esk1_0
      | pv5 != esk2_0 )
    & a_select3(z_defuse,esk1_0,esk2_0) != use ),
    inference(skolemize,[status(esa)],[141]) ).

cnf(147,negated_conjecture,
    leq(esk2_0,pred(pv5)),
    inference(split_conjunct,[status(thm)],[142]) ).

cnf(149,negated_conjecture,
    leq(n0,esk2_0),
    inference(split_conjunct,[status(thm)],[142]) ).

cnf(151,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[142]) ).

fof(179,plain,
    ! [X1] :
      ( ~ leq(n0,X1)
      | ~ leq(X1,n0)
      | X1 = n0 ),
    inference(fof_nnf,[status(thm)],[52]) ).

fof(180,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n0)
      | X2 = n0 ),
    inference(variable_rename,[status(thm)],[179]) ).

cnf(181,plain,
    ( X1 = n0
    | ~ leq(X1,n0)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[180]) ).

fof(199,plain,
    ( ~ epred1_0
    | ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X4,X5] :
          ( ~ leq(n0,X4)
          | ~ leq(n0,X5)
          | ~ leq(X4,n2)
          | ~ leq(X5,pred(pv5))
          | a_select3(u_defuse,X4,X5) = use )
      & ! [X6,X7] :
          ( ~ leq(n0,X6)
          | ~ leq(n0,X7)
          | ~ leq(X6,n2)
          | ~ leq(X7,pred(pv5))
          | a_select3(z_defuse,X6,X7) = use ) ) ),
    inference(fof_nnf,[status(thm)],[70]) ).

fof(200,plain,
    ( ~ epred1_0
    | ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X8,X9] :
          ( ~ leq(n0,X8)
          | ~ leq(n0,X9)
          | ~ leq(X8,n2)
          | ~ leq(X9,pred(pv5))
          | a_select3(u_defuse,X8,X9) = use )
      & ! [X10,X11] :
          ( ~ leq(n0,X10)
          | ~ leq(n0,X11)
          | ~ leq(X10,n2)
          | ~ leq(X11,pred(pv5))
          | a_select3(z_defuse,X10,X11) = use ) ) ),
    inference(variable_rename,[status(thm)],[199]) ).

fof(201,plain,
    ! [X8,X9,X10,X11] :
      ( ( ( ~ leq(n0,X10)
          | ~ leq(n0,X11)
          | ~ leq(X10,n2)
          | ~ leq(X11,pred(pv5))
          | a_select3(z_defuse,X10,X11) = use )
        & ( ~ leq(n0,X8)
          | ~ leq(n0,X9)
          | ~ leq(X8,n2)
          | ~ leq(X9,pred(pv5))
          | a_select3(u_defuse,X8,X9) = use )
        & a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use
        & leq(n0,pv5)
        & leq(pv5,n0)
        & leq(pv5,n998) )
      | ~ epred1_0 ),
    inference(shift_quantors,[status(thm)],[200]) ).

fof(202,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ leq(n0,X10)
        | ~ leq(n0,X11)
        | ~ leq(X10,n2)
        | ~ leq(X11,pred(pv5))
        | a_select3(z_defuse,X10,X11) = use
        | ~ epred1_0 )
      & ( ~ leq(n0,X8)
        | ~ leq(n0,X9)
        | ~ leq(X8,n2)
        | ~ leq(X9,pred(pv5))
        | a_select3(u_defuse,X8,X9) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n0,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n1,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n2,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n5) = use
        | ~ epred1_0 )
      & ( leq(n0,pv5)
        | ~ epred1_0 )
      & ( leq(pv5,n0)
        | ~ epred1_0 )
      & ( leq(pv5,n998)
        | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[201]) ).

cnf(204,plain,
    ( leq(pv5,n0)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[202]) ).

cnf(205,plain,
    ( leq(n0,pv5)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[202]) ).

cnf(259,plain,
    ( leq(n0,pv5)
    | $false ),
    inference(rw,[status(thm)],[205,151,theory(equality)]) ).

cnf(260,plain,
    leq(n0,pv5),
    inference(cn,[status(thm)],[259,theory(equality)]) ).

cnf(261,plain,
    ( leq(pv5,n0)
    | $false ),
    inference(rw,[status(thm)],[204,151,theory(equality)]) ).

cnf(262,plain,
    leq(pv5,n0),
    inference(cn,[status(thm)],[261,theory(equality)]) ).

cnf(335,plain,
    ( n0 = pv5
    | ~ leq(n0,pv5) ),
    inference(spm,[status(thm)],[181,262,theory(equality)]) ).

cnf(336,plain,
    ( n0 = pv5
    | $false ),
    inference(rw,[status(thm)],[335,260,theory(equality)]) ).

cnf(337,plain,
    n0 = pv5,
    inference(cn,[status(thm)],[336,theory(equality)]) ).

cnf(604,negated_conjecture,
    leq(esk2_0,pred(n0)),
    inference(rw,[status(thm)],[147,337,theory(equality)]) ).

cnf(620,negated_conjecture,
    gt(n0,esk2_0),
    inference(spm,[status(thm)],[125,604,theory(equality)]) ).

cnf(740,negated_conjecture,
    leq(esk2_0,n0),
    inference(spm,[status(thm)],[85,620,theory(equality)]) ).

cnf(759,negated_conjecture,
    ( n0 = esk2_0
    | ~ leq(n0,esk2_0) ),
    inference(spm,[status(thm)],[181,740,theory(equality)]) ).

cnf(761,negated_conjecture,
    ( n0 = esk2_0
    | $false ),
    inference(rw,[status(thm)],[759,149,theory(equality)]) ).

cnf(762,negated_conjecture,
    n0 = esk2_0,
    inference(cn,[status(thm)],[761,theory(equality)]) ).

cnf(764,negated_conjecture,
    gt(n0,n0),
    inference(rw,[status(thm)],[620,762,theory(equality)]) ).

cnf(765,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[764,107,theory(equality)]) ).

cnf(766,negated_conjecture,
    $false,
    765,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV197+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpQb3HHk/sel_SWV197+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV197+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV197+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV197+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------