TSTP Solution File: SWV997_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV997_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n010.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  : 300s
% DateTime : Wed Aug 31 18:55:10 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :  491 ( 345 equ)
%            Maximal formula atoms :   54 (  17 avg)
%            Number of connectives :  738 ( 275   ~; 136   |; 322   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :  549 ( 141 atm;   0 fun; 260 num; 148 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   0 usr;   2 prp; 0-2 aty)
%            Number of functors    :   15 (   6 usr;  13 con; 0-1 aty)
%            Number of variables   :  148 ( 148   !;   0   ?; 148   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    z1: $int ).

tff(func_def_1,type,
    z2: $int ).

tff(func_def_2,type,
    z3: $int ).

tff(func_def_3,type,
    z4: $int ).

tff(func_def_4,type,
    a: $int > $int ).

tff(func_def_5,type,
    b: $int > $int ).

tff(f182,plain,
    $false,
    inference(subsumption_resolution,[],[f181,f42]) ).

tff(f42,plain,
    z1 != z3,
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ( ( z1 != z3 )
    & ! [X0: $int,X1: $int,X2: $int] :
        ( ( X0 = X2 )
        | ( a(X0) != 8 )
        | ( 10 != a(X1) )
        | ~ $less(b(X1),3)
        | ( 7 != a(X2) )
        | ( X1 = X2 )
        | ( X0 = X1 )
        | ~ $less(X1,X2) )
    & ! [X3: $int] :
        ( ~ $less(b(X3),1)
        & ~ $less(5,b(X3)) )
    & ! [X4: $int] :
        ( ~ $less(12,a(X4))
        & ~ $less(a(X4),1) )
    & ( 1 = a(z3) )
    & ( z2 != z3 )
    & $less(z2,z1)
    & ( z1 != z2 )
    & ! [X5: $int,X6: $int] :
        ( ( 8 != a(X6) )
        | ( X5 = X6 )
        | ( 10 != a(X5) )
        | ~ $less(X5,X6)
        | ~ $less(b(X5),3) )
    & ! [X7: $int,X8: $int] :
        ( ~ $less(X7,X8)
        | ( 10 != a(X7) )
        | ~ $less(b(X7),3)
        | ( 9 != a(X8) )
        | ( X7 = X8 ) )
    & ! [X9: $int,X10: $int,X11: $int] :
        ( ( 6 != a(X10) )
        | ( X9 = X11 )
        | ( X10 = X11 )
        | ( X9 = X10 )
        | ~ $less(X11,X10)
        | ( 10 != a(X11) )
        | ( 5 != b(X9) )
        | ~ $less(b(X11),3) )
    & ( z2 != z4 )
    & ( 5 = b(z3) )
    & ( 10 = a(z2) )
    & ! [X12: $int,X13: $int] :
        ( ( 10 != a(X12) )
        | ( X12 = X13 )
        | ( 10 != a(X13) ) )
    & ( z1 != z4 )
    & ( z3 != z4 )
    & $less(b(z2),3)
    & ! [X14: $int,X15: $int,X16: $int] :
        ( ( 7 != a(X15) )
        | ( 5 != b(X16) )
        | ( 10 != a(X14) )
        | ( X14 = X16 )
        | ( X14 = X15 )
        | ~ $less(b(X14),3)
        | ~ $less(X14,X15)
        | ( X15 = X16 ) )
    & ( 6 = a(z1) ) ),
    inference(rectify,[],[f19]) ).

tff(f19,plain,
    ( ( z1 != z3 )
    & ! [X4: $int,X5: $int,X3: $int] :
        ( ( X3 = X4 )
        | ( 8 != a(X4) )
        | ( 10 != a(X5) )
        | ~ $less(b(X5),3)
        | ( 7 != a(X3) )
        | ( X3 = X5 )
        | ( X4 = X5 )
        | ~ $less(X5,X3) )
    & ! [X11: $int] :
        ( ~ $less(b(X11),1)
        & ~ $less(5,b(X11)) )
    & ! [X12: $int] :
        ( ~ $less(12,a(X12))
        & ~ $less(a(X12),1) )
    & ( 1 = a(z3) )
    & ( z2 != z3 )
    & $less(z2,z1)
    & ( z1 != z2 )
    & ! [X15: $int,X16: $int] :
        ( ( 8 != a(X16) )
        | ( X15 = X16 )
        | ( 10 != a(X15) )
        | ~ $less(X15,X16)
        | ~ $less(b(X15),3) )
    & ! [X9: $int,X10: $int] :
        ( ~ $less(X9,X10)
        | ( 10 != a(X9) )
        | ~ $less(b(X9),3)
        | ( 9 != a(X10) )
        | ( X9 = X10 ) )
    & ! [X0: $int,X2: $int,X1: $int] :
        ( ( 6 != a(X2) )
        | ( X0 = X1 )
        | ( X1 = X2 )
        | ( X0 = X2 )
        | ~ $less(X1,X2)
        | ( 10 != a(X1) )
        | ( b(X0) != 5 )
        | ~ $less(b(X1),3) )
    & ( z2 != z4 )
    & ( 5 = b(z3) )
    & ( 10 = a(z2) )
    & ! [X14: $int,X13: $int] :
        ( ( 10 != a(X14) )
        | ( X13 = X14 )
        | ( 10 != a(X13) ) )
    & ( z1 != z4 )
    & ( z3 != z4 )
    & $less(b(z2),3)
    & ! [X8: $int,X6: $int,X7: $int] :
        ( ( 7 != a(X6) )
        | ( 5 != b(X7) )
        | ( 10 != a(X8) )
        | ( X7 = X8 )
        | ( X6 = X8 )
        | ~ $less(b(X8),3)
        | ~ $less(X8,X6)
        | ( X6 = X7 ) )
    & ( 6 = a(z1) ) ),
    inference(flattening,[],[f18]) ).

tff(f18,plain,
    ( ( 6 = a(z1) )
    & ( 5 = b(z3) )
    & $less(b(z2),3)
    & ( 1 = a(z3) )
    & $less(z2,z1)
    & ( 10 = a(z2) )
    & ( z2 != z4 )
    & ! [X11: $int] :
        ( ~ $less(b(X11),1)
        & ~ $less(5,b(X11)) )
    & ( z1 != z2 )
    & ! [X8: $int,X6: $int,X7: $int] :
        ( ( 7 != a(X6) )
        | ( 5 != b(X7) )
        | ( 10 != a(X8) )
        | ( X7 = X8 )
        | ( X6 = X8 )
        | ~ $less(b(X8),3)
        | ~ $less(X8,X6)
        | ( X6 = X7 ) )
    & ! [X14: $int,X13: $int] :
        ( ( 10 != a(X14) )
        | ( X13 = X14 )
        | ( 10 != a(X13) ) )
    & ! [X0: $int,X2: $int,X1: $int] :
        ( ( 6 != a(X2) )
        | ( X0 = X1 )
        | ( X1 = X2 )
        | ( X0 = X2 )
        | ~ $less(X1,X2)
        | ( 10 != a(X1) )
        | ( b(X0) != 5 )
        | ~ $less(b(X1),3) )
    & ( z1 != z3 )
    & ! [X12: $int] :
        ( ~ $less(12,a(X12))
        & ~ $less(a(X12),1) )
    & ! [X4: $int,X5: $int,X3: $int] :
        ( ( X3 = X4 )
        | ( 8 != a(X4) )
        | ( 10 != a(X5) )
        | ~ $less(b(X5),3)
        | ( 7 != a(X3) )
        | ( X3 = X5 )
        | ( X4 = X5 )
        | ~ $less(X5,X3) )
    & ( z1 != z4 )
    & ( z3 != z4 )
    & ( z2 != z3 )
    & ! [X9: $int,X10: $int] :
        ( ~ $less(X9,X10)
        | ( 10 != a(X9) )
        | ~ $less(b(X9),3)
        | ( 9 != a(X10) )
        | ( X9 = X10 ) )
    & ! [X15: $int,X16: $int] :
        ( ( 8 != a(X16) )
        | ( X15 = X16 )
        | ( 10 != a(X15) )
        | ~ $less(X15,X16)
        | ~ $less(b(X15),3) ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f17,plain,
    ~ ( ( ( z2 != z4 )
        & ! [X11: $int] :
            ( ~ $less(b(X11),1)
            & ~ $less(5,b(X11)) )
        & ( z1 != z2 )
        & ! [X6: $int,X7: $int,X8: $int] :
            ~ ( ( X6 != X7 )
              & $less(b(X8),3)
              & ( 10 = a(X8) )
              & ( 7 = a(X6) )
              & $less(X8,X6)
              & ( X6 != X8 )
              & ( 5 = b(X7) )
              & ( X7 != X8 ) )
        & ! [X14: $int,X13: $int] :
            ~ ( ( 10 = a(X14) )
              & ( 10 = a(X13) )
              & ( X13 != X14 ) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( $less(X1,X2)
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( 6 = a(X2) )
              & $less(b(X1),3)
              & ( b(X0) = 5 )
              & ( X0 != X1 ) )
        & ( z1 != z3 )
        & ! [X12: $int] :
            ( ~ $less(12,a(X12))
            & ~ $less(a(X12),1) )
        & ! [X4: $int,X3: $int,X5: $int] :
            ~ ( ( 8 = a(X4) )
              & ( X3 != X5 )
              & ( X4 != X5 )
              & ( X3 != X4 )
              & $less(X5,X3)
              & ( 7 = a(X3) )
              & $less(b(X5),3)
              & ( 10 = a(X5) ) )
        & ( z1 != z4 )
        & ( z3 != z4 )
        & ( z2 != z3 )
        & ! [X9: $int,X10: $int] :
            ~ ( ( 9 = a(X10) )
              & ( 10 = a(X9) )
              & ( X9 != X10 )
              & $less(b(X9),3)
              & $less(X9,X10) )
        & ! [X16: $int,X15: $int] :
            ~ ( $less(X15,X16)
              & ( X15 != X16 )
              & ( 10 = a(X15) )
              & $less(b(X15),3)
              & ( 8 = a(X16) ) ) )
     => ~ ( ( 6 = a(z1) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z3) )
          & $less(z2,z1)
          & ( 10 = a(z2) ) ) ),
    inference(true_and_false_elimination,[],[f16]) ).

tff(f16,plain,
    ~ ( ( ( z2 != z3 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( $less(X1,X2)
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( 6 = a(X2) )
              & $less(b(X1),3)
              & ( b(X0) = 5 )
              & ( X0 != X1 ) )
        & ! [X4: $int,X3: $int,X5: $int] :
            ~ ( ( 8 = a(X4) )
              & ( X3 != X5 )
              & ( X4 != X5 )
              & ( X3 != X4 )
              & $less(X5,X3)
              & ( 7 = a(X3) )
              & $less(b(X5),3)
              & ( 10 = a(X5) ) )
        & ! [X6: $int,X7: $int,X8: $int] :
            ~ ( ( X6 != X7 )
              & $less(b(X8),3)
              & ( 10 = a(X8) )
              & ( 7 = a(X6) )
              & $less(X8,X6)
              & ( X6 != X8 )
              & ( 5 = b(X7) )
              & ( X7 != X8 ) )
        & ( z2 != z4 )
        & ! [X9: $int,X10: $int] :
            ~ ( ( 9 = a(X10) )
              & ( 10 = a(X9) )
              & ( X9 != X10 )
              & $less(b(X9),3)
              & $less(X9,X10) )
        & $true
        & ! [X11: $int] :
            ( ~ $less(b(X11),1)
            & ~ $less(5,b(X11)) )
        & ( z1 != z4 )
        & ! [X12: $int] :
            ( ~ $less(12,a(X12))
            & ~ $less(a(X12),1) )
        & ! [X14: $int,X13: $int] :
            ~ ( ( 10 = a(X14) )
              & ( 10 = a(X13) )
              & ( X13 != X14 ) )
        & ( z3 != z4 )
        & ! [X16: $int,X15: $int] :
            ~ ( $less(X15,X16)
              & ( X15 != X16 )
              & ( 10 = a(X15) )
              & $less(b(X15),3)
              & ( 8 = a(X16) ) ) )
     => ~ ( ( 6 = a(z1) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z3) )
          & $less(z2,z1)
          & ( 10 = a(z2) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,plain,
    ~ ( ( ( z2 != z3 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( a(X0) = 6 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( 5 = b(X2) )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( 8 = a(X2) )
              & ( a(X0) = 7 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & $less(b(X1),3) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & $less(X1,X0)
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( 5 = b(X2) )
              & ( X1 != X2 )
              & ( a(X0) = 7 ) )
        & ( z2 != z4 )
        & ! [X1: $int,X0: $int] :
            ~ ( ( a(X0) = 9 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3) )
        & $true
        & ! [X0: $int] :
            ( ~ $less(5,b(X0))
            & ~ $less(b(X0),1) )
        & ( z1 != z4 )
        & ! [X0: $int] :
            ( ~ $less(a(X0),1)
            & ~ $less(12,a(X0)) )
        & ! [X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 10 )
              & ( 10 = a(X1) ) )
        & ( z3 != z4 )
        & ! [X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 8 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( 10 = a(X1) ) ) )
     => ~ ( ( 6 = a(z1) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z3) )
          & $less(z2,z1)
          & ( 10 = a(z2) ) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ( z2 != z3 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( a(X0) = 6 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( 5 = b(X2) )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( 8 = a(X2) )
              & ( a(X0) = 7 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & $less(b(X1),3) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & $less(X1,X0)
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( 5 = b(X2) )
              & ( X1 != X2 )
              & ( a(X0) = 7 ) )
        & ( z2 != z4 )
        & ! [X1: $int,X0: $int] :
            ~ ( ( a(X0) = 9 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3) )
        & $true
        & ! [X0: $int] :
            ( $lesseq(b(X0),5)
            & $lesseq(1,b(X0)) )
        & ( z1 != z4 )
        & ! [X0: $int] :
            ( $lesseq(1,a(X0))
            & $lesseq(a(X0),12) )
        & ! [X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 10 )
              & ( 10 = a(X1) ) )
        & ( z3 != z4 )
        & ! [X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 8 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( 10 = a(X1) ) ) )
     => ~ ( ( 6 = a(z1) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z3) )
          & $less(z2,z1)
          & ( 10 = a(z2) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ( z2 != z3 )
      & ( z1 != z3 )
      & ( z1 != z2 )
      & ! [X2: $int,X1: $int,X0: $int] :
          ~ ( ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( X0 != X1 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( X0 != X2 )
            & ( 8 = a(X2) )
            & ( a(X0) = 7 )
            & $less(X1,X0)
            & ( 10 = a(X1) )
            & ( X1 != X2 )
            & ( X0 != X1 )
            & $less(b(X1),3) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( X0 != X1 )
            & $less(X1,X0)
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & ( 5 = b(X2) )
            & ( X1 != X2 )
            & ( a(X0) = 7 ) )
      & ( z2 != z4 )
      & ! [X1: $int,X0: $int] :
          ~ ( ( a(X0) = 9 )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & $less(b(X1),3) )
      & $true
      & ! [X0: $int] :
          ( $lesseq(b(X0),5)
          & $lesseq(1,b(X0)) )
      & ( z1 != z4 )
      & ! [X0: $int] :
          ( $lesseq(1,a(X0))
          & $lesseq(a(X0),12) )
      & ! [X1: $int,X0: $int] :
          ~ ( ( X0 != X1 )
            & ( a(X0) = 10 )
            & ( 10 = a(X1) ) )
      & ( z3 != z4 )
      & ! [X1: $int,X0: $int] :
          ~ ( ( X0 != X1 )
            & ( a(X0) = 8 )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( 10 = a(X1) ) ) )
   => ~ ( ( 6 = a(z1) )
        & ( 5 = b(z3) )
        & $less(b(z2),3)
        & ( 1 = a(z3) )
        & $less(z2,z1)
        & ( 10 = a(z2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(f181,plain,
    z1 = z3,
    inference(subsumption_resolution,[],[f180,f35]) ).

tff(f35,plain,
    z2 != z3,
    inference(cnf_transformation,[],[f20]) ).

tff(f180,plain,
    ( ( z2 = z3 )
    | ( z1 = z3 ) ),
    inference(trivial_inequality_removal,[],[f179]) ).

tff(f179,plain,
    ( ( z2 = z3 )
    | ( z1 = z3 )
    | ( 5 != 5 ) ),
    inference(superposition,[],[f167,f28]) ).

tff(f28,plain,
    5 = b(z3),
    inference(cnf_transformation,[],[f20]) ).

tff(f167,plain,
    ! [X0: $int] :
      ( ( b(X0) != 5 )
      | ( z1 = X0 )
      | ( z2 = X0 ) ),
    inference(subsumption_resolution,[],[f166,f33]) ).

tff(f33,plain,
    z1 != z2,
    inference(cnf_transformation,[],[f20]) ).

tff(f166,plain,
    ! [X0: $int] :
      ( ( z1 = z2 )
      | ( z2 = X0 )
      | ( b(X0) != 5 )
      | ( z1 = X0 ) ),
    inference(subsumption_resolution,[],[f165,f23]) ).

tff(f23,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f20]) ).

tff(f165,plain,
    ! [X0: $int] :
      ( ~ $less(b(z2),3)
      | ( z1 = z2 )
      | ( b(X0) != 5 )
      | ( z1 = X0 )
      | ( z2 = X0 ) ),
    inference(subsumption_resolution,[],[f164,f34]) ).

tff(f34,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f20]) ).

tff(f164,plain,
    ! [X0: $int] :
      ( ~ $less(z2,z1)
      | ( z1 = z2 )
      | ~ $less(b(z2),3)
      | ( b(X0) != 5 )
      | ( z2 = X0 )
      | ( z1 = X0 ) ),
    inference(trivial_inequality_removal,[],[f162]) ).

tff(f162,plain,
    ! [X0: $int] :
      ( ( 10 != 10 )
      | ~ $less(b(z2),3)
      | ( z2 = X0 )
      | ~ $less(z2,z1)
      | ( b(X0) != 5 )
      | ( z1 = z2 )
      | ( z1 = X0 ) ),
    inference(superposition,[],[f122,f27]) ).

tff(f27,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f20]) ).

tff(f122,plain,
    ! [X0: $int,X1: $int] :
      ( ( 10 != a(X1) )
      | ~ $less(b(X1),3)
      | ( z1 = X1 )
      | ~ $less(X1,z1)
      | ( z1 = X0 )
      | ( X0 = X1 )
      | ( b(X0) != 5 ) ),
    inference(trivial_inequality_removal,[],[f119]) ).

tff(f119,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,z1)
      | ( 6 != 6 )
      | ( b(X0) != 5 )
      | ( X0 = X1 )
      | ( z1 = X0 )
      | ( z1 = X1 )
      | ( 10 != a(X1) )
      | ~ $less(b(X1),3) ),
    inference(superposition,[],[f30,f21]) ).

tff(f21,plain,
    6 = a(z1),
    inference(cnf_transformation,[],[f20]) ).

tff(f30,plain,
    ! [X10: $int,X11: $int,X9: $int] :
      ( ( 6 != a(X10) )
      | ( X9 = X11 )
      | ( 5 != b(X9) )
      | ( X10 = X11 )
      | ~ $less(X11,X10)
      | ( X9 = X10 )
      | ~ $less(b(X11),3)
      | ( 10 != a(X11) ) ),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV997=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 20:05:44 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.48  % (2349)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.48  % (2357)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.49  % (2367)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.49  % (2356)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49  % (2356)Instruction limit reached!
% 0.20/0.49  % (2356)------------------------------
% 0.20/0.49  % (2356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (2356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (2356)Termination reason: Unknown
% 0.20/0.49  % (2356)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (2356)Memory used [KB]: 1023
% 0.20/0.49  % (2356)Time elapsed: 0.004 s
% 0.20/0.49  % (2356)Instructions burned: 3 (million)
% 0.20/0.49  % (2356)------------------------------
% 0.20/0.49  % (2356)------------------------------
% 0.20/0.49  % (2372)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.49  % (2349)Instruction limit reached!
% 0.20/0.49  % (2349)------------------------------
% 0.20/0.49  % (2349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (2349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (2349)Termination reason: Unknown
% 0.20/0.49  % (2349)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (2349)Memory used [KB]: 5628
% 0.20/0.49  % (2349)Time elapsed: 0.098 s
% 0.20/0.49  % (2349)Instructions burned: 8 (million)
% 0.20/0.49  % (2349)------------------------------
% 0.20/0.49  % (2349)------------------------------
% 0.20/0.50  % (2364)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (2359)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50  % (2359)Instruction limit reached!
% 0.20/0.50  % (2359)------------------------------
% 0.20/0.50  % (2359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (2359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (2359)Termination reason: Unknown
% 0.20/0.50  % (2359)Termination phase: Property scanning
% 0.20/0.50  
% 0.20/0.50  % (2359)Memory used [KB]: 895
% 0.20/0.50  % (2359)Time elapsed: 0.002 s
% 0.20/0.50  % (2359)Instructions burned: 2 (million)
% 0.20/0.50  % (2359)------------------------------
% 0.20/0.50  % (2359)------------------------------
% 0.20/0.50  % (2354)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.50  % (2357)First to succeed.
% 0.20/0.51  % (2367)Instruction limit reached!
% 0.20/0.51  % (2367)------------------------------
% 0.20/0.51  % (2367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (2367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (2367)Termination reason: Unknown
% 0.20/0.51  % (2367)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (2367)Memory used [KB]: 1151
% 0.20/0.51  % (2367)Time elapsed: 0.112 s
% 0.20/0.51  % (2367)Instructions burned: 15 (million)
% 0.20/0.51  % (2367)------------------------------
% 0.20/0.51  % (2367)------------------------------
% 0.20/0.51  % (2350)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (2368)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.51  % (2360)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52  % (2357)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (2357)------------------------------
% 0.20/0.52  % (2357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (2357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (2357)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (2357)Memory used [KB]: 5628
% 0.20/0.52  % (2357)Time elapsed: 0.111 s
% 0.20/0.52  % (2357)Instructions burned: 12 (million)
% 0.20/0.52  % (2357)------------------------------
% 0.20/0.52  % (2357)------------------------------
% 0.20/0.52  % (2346)Success in time 0.173 s
%------------------------------------------------------------------------------