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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV997_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:19:56 PM UTC 2026

% Result   : Theorem 2.76s 1.09s
% Output   : Refutation 3.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   27 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :  484 ( 341 equ)
%            Maximal formula atoms :   54 (  17 avg)
%            Number of connectives :  728 ( 271   ~; 130   |; 322   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :  540 ( 138 atm;   0 fun; 255 num; 147 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   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   :  147 ( 147   !;   0   ?; 147   :)

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

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

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

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

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

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

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

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

tff(f21,plain,
    z2 != z3,
    inference(cnf_transformation,[],[f20]) ).

tff(f23,plain,
    6 = a(z1),
    inference(cnf_transformation,[],[f20]) ).

tff(f28,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f20]) ).

tff(f29,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f20]) ).

tff(f30,plain,
    z1 != z3,
    inference(cnf_transformation,[],[f20]) ).

tff(f32,plain,
    z1 != z2,
    inference(cnf_transformation,[],[f20]) ).

tff(f33,plain,
    5 = b(z3),
    inference(cnf_transformation,[],[f20]) ).

tff(f39,plain,
    ! [X8: $int,X6: $int,X7: $int] :
      ( ( 6 != a(X6) )
      | ( X6 = X8 )
      | ~ $less(X8,X6)
      | ( 10 != a(X8) )
      | ( 5 != b(X7) )
      | ~ $less(b(X8),3)
      | ( X7 = X8 )
      | ( X6 = X7 ) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f40,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f20]) ).

tff(f67,plain,
    ! [X0: $int,X1: $int] :
      ( ( z1 = X1 )
      | ( a(X0) != 10 )
      | ~ $less(X0,z1)
      | ( X0 = X1 )
      | ( 5 != b(X1) )
      | ( z1 = X0 )
      | ( 6 != 6 )
      | ~ $less(b(X0),3) ),
    inference(constrained_superposition,[],[f39,f23]) ).

tff(f69,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(b(X0),3)
      | ( z1 = X0 )
      | ( a(X0) != 10 )
      | ( X0 = X1 )
      | ( 5 != b(X1) )
      | ~ $less(X0,z1)
      | ( z1 = X1 ) ),
    inference(trivial_inequality_removal,[],[f67]) ).

tff(f70,plain,
    ! [X0: $int] :
      ( ( b(X0) != 5 )
      | ( 10 != a(z2) )
      | ( z1 = X0 )
      | ( z2 = X0 )
      | ( z1 = z2 )
      | ~ $less(z2,z1) ),
    inference(resolution,[],[f69,f29]) ).

tff(f72,plain,
    ! [X0: $int] :
      ( ( z1 = X0 )
      | ( b(X0) != 5 )
      | ~ $less(z2,z1)
      | ( z1 = z2 )
      | ( z2 = X0 ) ),
    inference(forward_subsumption_resolution,[],[f70,f40]) ).

tff(f73,plain,
    ! [X0: $int] :
      ( ( b(X0) != 5 )
      | ( z1 = X0 )
      | ( z1 = z2 )
      | ( z2 = X0 ) ),
    inference(forward_subsumption_resolution,[],[f72,f28]) ).

tff(f74,plain,
    ! [X0: $int] :
      ( ( b(X0) != 5 )
      | ( z2 = X0 )
      | ( z1 = X0 ) ),
    inference(forward_subsumption_resolution,[],[f73,f32]) ).

tff(f75,plain,
    ( ( 5 != 5 )
    | ( z1 = z3 )
    | ( z2 = z3 ) ),
    inference(constrained_superposition,[],[f74,f33]) ).

tff(f76,plain,
    ( ( z2 = z3 )
    | ( z1 = z3 ) ),
    inference(trivial_inequality_removal,[],[f75]) ).

tff(f77,plain,
    z1 = z3,
    inference(forward_subsumption_resolution,[],[f76,f21]) ).

tff(f78,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f77,f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV997_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.19  % Computer : n004.cluster.edu
% 0.06/0.19  % Model    : x86_64 x86_64
% 0.06/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19  % Memory   : 8046.5625MB
% 0.06/0.19  % OS       : Linux 6.8.0-71-generic
% 0.06/0.19  % CPULimit : 300
% 0.06/0.19  % WCLimit  : 300
% 0.06/0.19  % DateTime : Mon Sep 28 13:07:07 UTC 2026
% 0.06/0.19  % CPUTime  : 
% 0.06/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.23  Running first-order theorem proving
% 0.06/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.76/1.09  % (337737)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.76/1.09  % (337742)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=982181655:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.76/1.09  % (337742)Instruction limit reached! 
% 2.76/1.09  % (337742)------------------------------
% 2.76/1.09  % (337742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.09  % (337742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.09  % (337742)CaDiCaL version: 2.1.3
% 2.76/1.09  % (337742)Termination reason: Instruction limit
% 2.76/1.09  % (337742)Termination phase: Saturation
% 2.76/1.09  % (337742)Time elapsed: 0.019 s
% 2.76/1.09  % (337742)Peak memory usage: 115 MB
% 2.76/1.09  % (337742)Instructions burned: 12 (million)
% 2.76/1.09  % (337748)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3844114218:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.76/1.09  % (337743)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3155118798:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.76/1.09  % (337745)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=919276916:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.76/1.09  % (337746)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1745478179:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.76/1.09  % (337744)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1128582913:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.76/1.09  % (337747)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1251409061:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.76/1.09  % (337746)First to succeed.
% 2.76/1.09  % (337746)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-337737"
% 2.76/1.09  % (337745)Instruction limit reached! 
% 2.76/1.09  % (337745)------------------------------
% 2.76/1.09  % (337745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.09  % (337745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.09  % (337745)CaDiCaL version: 2.1.3
% 2.76/1.09  % (337745)Termination reason: Instruction limit
% 2.76/1.09  % (337745)Termination phase: Saturation
% 2.76/1.09  % (337745)Time elapsed: 0.005 s
% 2.76/1.09  % (337745)Peak memory usage: 88 MB
% 2.76/1.09  % (337745)Instructions burned: 8 (million)
% 2.76/1.09  % (337747)Also succeeded, but the first one will report.
% 2.76/1.09  % (337744)Also succeeded, but the first one will report.
% 2.76/1.09  % (337748)Also succeeded, but the first one will report.
% 2.76/1.09  % (337743)Also succeeded, but the first one will report.
% 2.76/1.09  % (337750)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1061414140:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.76/1.09  % (337750)Also succeeded, but the first one will report.
% 2.76/1.09  % (337757)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=218988844:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.76/1.09  % (337757)Also succeeded, but the first one will report.
% 2.76/1.09  % (337746)Refutation found. Thanks to Tanya!
% 2.76/1.09  % SZS status Theorem for theBenchmark
% 2.76/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.29  % (337746)------------------------------
% 3.53/1.29  % (337746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.29  % (337746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.29  % (337746)CaDiCaL version: 2.1.3
% 3.53/1.29  % (337746)Termination reason: Refutation
% 3.53/1.29  % (337746)Time elapsed: 0.005 s
% 3.53/1.29  % (337746)Peak memory usage: 89 MB
% 3.53/1.29  % (337746)Instructions burned: 6 (million)
% 3.53/1.29  % (337746)------------------------------
% 3.53/1.29  % (337746)------------------------------
% 3.53/1.29  % (337737)Success in time 0.428 s
% 3.53/1.29  % Vampire exiting
%------------------------------------------------------------------------------