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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO180^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 : Wed Sep 30 08:49:06 AM UTC 2026

% Result   : Theorem 0.08s 0.16s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   41 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :  930 ( 387 equ)
%            Maximal formula atoms :   58 (  22 avg)
%            Number of connectives :  780 ( 259   ~; 185   |; 251   &)
%                                         (   0 <=>;  85  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  948 ( 542 fml; 406 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  11 usr;  13 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   77 (  55   !;  22   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_2,type,
    sK0: $o ).

tff(func_def_3,type,
    sK1: $o ).

tff(func_def_4,type,
    sK2: $o ).

tff(func_def_5,type,
    sK3: $o ).

tff(func_def_6,type,
    sK4: $o ).

tff(func_def_7,type,
    sK5: $o ).

tff(func_def_8,type,
    sK6: $o ).

tff(func_def_9,type,
    sK7: $o ).

tff(func_def_10,type,
    sK8: $o ).

tff(func_def_11,type,
    sK9: $o ).

tff(func_def_12,type,
    sK10: $o ).

tff(f1,conjecture,
    ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
      ( ( ( ( ~ (X2)
            & ~ (X8)
            & (X4) )
         => (X3) )
        & ( ( ~ (X4)
            & (X9)
            & (X3) )
         => ~ (X10) )
        & ( ( ~ (X7)
            & ~ (X1)
            & (X6) )
         => (X10) )
        & ( ( ~ (X2)
            & ~ (X8)
            & (X3) )
         => ~ (X9) )
        & ( ( (X5)
            & (X4) )
         => ~ (X10) )
        & ( ( (X5)
            & (X0)
            & (X8) )
         => ~ (X2) )
        & ( ( ~ (X4)
            & ~ (X3) )
         => (X8) )
        & ( ( ~ (X6)
            & (X3)
            & ~ (X8)
            & (X5) )
         => ~ (X2) )
        & ( ( (X2)
            & (X0) )
         => (X10) )
        & ( ( ~ (X7)
            & ~ (X6)
            & (X4) )
         => (X1) )
        & ( ( (X9)
            & (X8) )
         => (X10) )
        & ( ( ~ (X1)
            & ~ (X3) )
         => (X4) )
        & ( ( (X2)
            & (X6)
            & ~ (X8) )
         => (X7) )
        & ( ( ~ (X4)
            & (X3) )
         => (X2) )
        & ( ( (X1)
            & (X0) )
         => (X2) ) )
     => ( ( (X0)
          & (X5) )
       => ( ~ (X9)
          & (X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP2) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
        ( ( ( ( ~ (X2)
              & ~ (X8)
              & (X4) )
           => (X3) )
          & ( ( ~ (X4)
              & (X9)
              & (X3) )
           => ~ (X10) )
          & ( ( ~ (X7)
              & ~ (X1)
              & (X6) )
           => (X10) )
          & ( ( ~ (X2)
              & ~ (X8)
              & (X3) )
           => ~ (X9) )
          & ( ( (X5)
              & (X4) )
           => ~ (X10) )
          & ( ( (X5)
              & (X0)
              & (X8) )
           => ~ (X2) )
          & ( ( ~ (X4)
              & ~ (X3) )
           => (X8) )
          & ( ( ~ (X6)
              & (X3)
              & ~ (X8)
              & (X5) )
           => ~ (X2) )
          & ( ( (X2)
              & (X0) )
           => (X10) )
          & ( ( ~ (X7)
              & ~ (X6)
              & (X4) )
           => (X1) )
          & ( ( (X9)
              & (X8) )
           => (X10) )
          & ( ( ~ (X1)
              & ~ (X3) )
           => (X4) )
          & ( ( (X2)
              & (X6)
              & ~ (X8) )
           => (X7) )
          & ( ( ~ (X4)
              & (X3) )
           => (X2) )
          & ( ( (X1)
              & (X0) )
           => (X2) ) )
       => ( ( (X0)
            & (X5) )
         => ( ~ (X9)
            & (X7) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
        ( ( ( ( ~ (X2)
              & ~ (X8)
              & (X4) )
           => (X3) )
          & ( ( ~ (X4)
              & (X9)
              & (X3) )
           => ~ (X10) )
          & ( ( ~ (X7)
              & ~ (X1)
              & (X6) )
           => (X10) )
          & ( ( ~ (X2)
              & ~ (X8)
              & (X3) )
           => ~ (X9) )
          & ( ( (X5)
              & (X4) )
           => ~ (X10) )
          & ( ( (X5)
              & (X0)
              & (X8) )
           => ~ (X2) )
          & ( ( ~ (X4)
              & ~ (X3) )
           => (X8) )
          & ( ( ~ (X6)
              & (X3)
              & ~ (X8)
              & (X5) )
           => ~ (X2) )
          & ( ( (X2)
              & (X0) )
           => (X10) )
          & ( ( ~ (X7)
              & ~ (X6)
              & (X4) )
           => (X1) )
          & ( ( (X9)
              & (X8) )
           => (X10) )
          & ( ( ~ (X1)
              & ~ (X3) )
           => (X4) )
          & ( ( (X2)
              & (X6)
              & ~ (X8) )
           => (X7) )
          & ( ( ~ (X4)
              & (X3) )
           => (X2) )
          & ( ( (X1)
              & (X0) )
           => (X2) ) )
       => ( ( (X0)
            & (X5) )
         => ( ~ (X9)
            & (X7) ) ) ),
    inference(rectify,[],[f2]) ).

tff(f4,plain,
    ~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
        ( ( ( ( ( $true != (X2) )
              & ( $true != (X8) )
              & ( $true = (X4) ) )
           => ( $true = (X3) ) )
          & ( ( ( $true != (X4) )
              & ( $true = (X9) )
              & ( $true = (X3) ) )
           => ( $true != (X10) ) )
          & ( ( ( $true != (X7) )
              & ( $true != (X1) )
              & ( $true = (X6) ) )
           => ( $true = (X10) ) )
          & ( ( ( $true != (X2) )
              & ( $true != (X8) )
              & ( $true = (X3) ) )
           => ( $true != (X9) ) )
          & ( ( ( $true = (X5) )
              & ( $true = (X4) ) )
           => ( $true != (X10) ) )
          & ( ( ( $true = (X5) )
              & ( $true = (X0) )
              & ( $true = (X8) ) )
           => ( $true != (X2) ) )
          & ( ( ( $true != (X4) )
              & ( $true != (X3) ) )
           => ( $true = (X8) ) )
          & ( ( ( $true != (X6) )
              & ( $true = (X3) )
              & ( $true != (X8) )
              & ( $true = (X5) ) )
           => ( $true != (X2) ) )
          & ( ( ( $true = (X2) )
              & ( $true = (X0) ) )
           => ( $true = (X10) ) )
          & ( ( ( $true != (X7) )
              & ( $true != (X6) )
              & ( $true = (X4) ) )
           => ( $true = (X1) ) )
          & ( ( ( $true = (X9) )
              & ( $true = (X8) ) )
           => ( $true = (X10) ) )
          & ( ( ( $true != (X1) )
              & ( $true != (X3) ) )
           => ( $true = (X4) ) )
          & ( ( ( $true = (X2) )
              & ( $true = (X6) )
              & ( $true != (X8) ) )
           => ( $true = (X7) ) )
          & ( ( ( $true != (X4) )
              & ( $true = (X3) ) )
           => ( $true = (X2) ) )
          & ( ( ( $true = (X1) )
              & ( $true = (X0) ) )
           => ( $true = (X2) ) ) )
       => ( ( ( $true = (X0) )
            & ( $true = (X5) ) )
         => ( ( $true != (X9) )
            & ( $true = (X7) ) ) ) ),
    inference(fool_elimination,[],[f3]) ).

tff(f5,plain,
    ~ ! [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
        ( ( ( ( ( $true != (X2) )
              & ( $true != (X8) )
              & ( $true = (X4) ) )
           => ( $true = (X3) ) )
          & ( ( ( $true != (X4) )
              & ( $true = (X9) )
              & ( $true = (X3) ) )
           => ( $true != (X10) ) )
          & ( ( ( $true != (X7) )
              & ( $true != (X1) )
              & ( $true = (X6) ) )
           => ( $true = (X10) ) )
          & ( ( ( $true != (X2) )
              & ( $true != (X8) )
              & ( $true = (X3) ) )
           => ( $true != (X9) ) )
          & ( ( ( $true = (X5) )
              & ( $true = (X4) ) )
           => ( $true != (X10) ) )
          & ( ( ( $true = (X5) )
              & ( $true = (X0) )
              & ( $true = (X8) ) )
           => ( $true != (X2) ) )
          & ( ( ( $true != (X4) )
              & ( $true != (X3) ) )
           => ( $true = (X8) ) )
          & ( ( ( $true != (X6) )
              & ( $true = (X3) )
              & ( $true != (X8) )
              & ( $true = (X5) ) )
           => ( $true != (X2) ) )
          & ( ( ( $true = (X2) )
              & ( $true = (X0) ) )
           => ( $true = (X10) ) )
          & ( ( ( $true != (X7) )
              & ( $true != (X6) )
              & ( $true = (X4) ) )
           => ( $true = (X1) ) )
          & ( ( ( $true = (X9) )
              & ( $true = (X8) ) )
           => ( $true = (X10) ) )
          & ( ( ( $true != (X1) )
              & ( $true != (X3) ) )
           => ( $true = (X4) ) )
          & ( ( ( $true = (X2) )
              & ( $true = (X6) )
              & ( $true != (X8) ) )
           => ( $true = (X7) ) )
          & ( ( ( $true != (X4) )
              & ( $true = (X3) ) )
           => ( $true = (X2) ) )
          & ( ( ( $true = (X1) )
              & ( $true = (X0) ) )
           => ( $true = (X2) ) ) )
       => ( ( ( $true = (X0) )
            & ( $true = (X5) ) )
         => ( ( $true != (X9) )
            & ( $true = (X7) ) ) ) ),
    inference(flattening,[],[f4]) ).

tff(f6,plain,
    ? [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
      ( ( ( $true = (X9) )
        | ( $true != (X7) ) )
      & ( $true = (X0) )
      & ( $true = (X5) )
      & ( ( $true = (X3) )
        | ( $true = (X2) )
        | ( $true = (X8) )
        | ( $true != (X4) ) )
      & ( ( $true != (X10) )
        | ( $true = (X4) )
        | ( $true != (X9) )
        | ( $true != (X3) ) )
      & ( ( $true = (X10) )
        | ( $true = (X7) )
        | ( $true = (X1) )
        | ( $true != (X6) ) )
      & ( ( $true != (X9) )
        | ( $true = (X2) )
        | ( $true = (X8) )
        | ( $true != (X3) ) )
      & ( ( $true != (X10) )
        | ( $true != (X5) )
        | ( $true != (X4) ) )
      & ( ( $true != (X2) )
        | ( $true != (X5) )
        | ( $true != (X0) )
        | ( $true != (X8) ) )
      & ( ( $true = (X8) )
        | ( $true = (X4) )
        | ( $true = (X3) ) )
      & ( ( $true != (X2) )
        | ( $true = (X6) )
        | ( $true != (X3) )
        | ( $true = (X8) )
        | ( $true != (X5) ) )
      & ( ( $true = (X10) )
        | ( $true != (X2) )
        | ( $true != (X0) ) )
      & ( ( $true = (X1) )
        | ( $true = (X7) )
        | ( $true = (X6) )
        | ( $true != (X4) ) )
      & ( ( $true = (X10) )
        | ( $true != (X9) )
        | ( $true != (X8) ) )
      & ( ( $true = (X4) )
        | ( $true = (X1) )
        | ( $true = (X3) ) )
      & ( ( $true = (X7) )
        | ( $true != (X2) )
        | ( $true != (X6) )
        | ( $true = (X8) ) )
      & ( ( $true = (X2) )
        | ( $true = (X4) )
        | ( $true != (X3) ) )
      & ( ( $true = (X2) )
        | ( $true != (X1) )
        | ( $true != (X0) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f7,plain,
    ? [X0: $o,X1: $o,X2: $o,X3: $o,X4: $o,X5: $o,X6: $o,X7: $o,X8: $o,X9: $o,X10: $o] :
      ( ( ( $true = (X9) )
        | ( $true != (X7) ) )
      & ( $true = (X0) )
      & ( $true = (X5) )
      & ( ( $true = (X3) )
        | ( $true = (X2) )
        | ( $true = (X8) )
        | ( $true != (X4) ) )
      & ( ( $true != (X10) )
        | ( $true = (X4) )
        | ( $true != (X9) )
        | ( $true != (X3) ) )
      & ( ( $true = (X10) )
        | ( $true = (X7) )
        | ( $true = (X1) )
        | ( $true != (X6) ) )
      & ( ( $true != (X9) )
        | ( $true = (X2) )
        | ( $true = (X8) )
        | ( $true != (X3) ) )
      & ( ( $true != (X10) )
        | ( $true != (X5) )
        | ( $true != (X4) ) )
      & ( ( $true != (X2) )
        | ( $true != (X5) )
        | ( $true != (X0) )
        | ( $true != (X8) ) )
      & ( ( $true = (X8) )
        | ( $true = (X4) )
        | ( $true = (X3) ) )
      & ( ( $true != (X2) )
        | ( $true = (X6) )
        | ( $true != (X3) )
        | ( $true = (X8) )
        | ( $true != (X5) ) )
      & ( ( $true = (X10) )
        | ( $true != (X2) )
        | ( $true != (X0) ) )
      & ( ( $true = (X1) )
        | ( $true = (X7) )
        | ( $true = (X6) )
        | ( $true != (X4) ) )
      & ( ( $true = (X10) )
        | ( $true != (X9) )
        | ( $true != (X8) ) )
      & ( ( $true = (X4) )
        | ( $true = (X1) )
        | ( $true = (X3) ) )
      & ( ( $true = (X7) )
        | ( $true != (X2) )
        | ( $true != (X6) )
        | ( $true = (X8) ) )
      & ( ( $true = (X2) )
        | ( $true = (X4) )
        | ( $true != (X3) ) )
      & ( ( $true = (X2) )
        | ( $true != (X1) )
        | ( $true != (X0) ) ) ),
    inference(flattening,[],[f6]) ).

tff(f8,plain,
    ( ( ( $true = sK9 )
      | ( $true != sK7 ) )
    & ( $true = sK0 )
    & ( $true = sK5 )
    & ( ( $true = sK3 )
      | ( $true = sK2 )
      | ( $true = sK8 )
      | ( $true != sK4 ) )
    & ( ( $true != sK10 )
      | ( $true = sK4 )
      | ( $true != sK9 )
      | ( $true != sK3 ) )
    & ( ( $true = sK10 )
      | ( $true = sK7 )
      | ( $true = sK1 )
      | ( $true != sK6 ) )
    & ( ( $true != sK9 )
      | ( $true = sK2 )
      | ( $true = sK8 )
      | ( $true != sK3 ) )
    & ( ( $true != sK10 )
      | ( $true != sK5 )
      | ( $true != sK4 ) )
    & ( ( $true != sK2 )
      | ( $true != sK5 )
      | ( $true != sK0 )
      | ( $true != sK8 ) )
    & ( ( $true = sK8 )
      | ( $true = sK4 )
      | ( $true = sK3 ) )
    & ( ( $true != sK2 )
      | ( $true = sK6 )
      | ( $true != sK3 )
      | ( $true = sK8 )
      | ( $true != sK5 ) )
    & ( ( $true = sK10 )
      | ( $true != sK2 )
      | ( $true != sK0 ) )
    & ( ( $true = sK1 )
      | ( $true = sK7 )
      | ( $true = sK6 )
      | ( $true != sK4 ) )
    & ( ( $true = sK10 )
      | ( $true != sK9 )
      | ( $true != sK8 ) )
    & ( ( $true = sK4 )
      | ( $true = sK1 )
      | ( $true = sK3 ) )
    & ( ( $true = sK7 )
      | ( $true != sK2 )
      | ( $true != sK6 )
      | ( $true = sK8 ) )
    & ( ( $true = sK2 )
      | ( $true = sK4 )
      | ( $true != sK3 ) )
    & ( ( $true = sK2 )
      | ( $true != sK1 )
      | ( $true != sK0 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10)],[f7]) ).

tff(f9,plain,
    ( ( $true = sK2 )
    | ( $true != sK1 )
    | ( $true != sK0 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f10,plain,
    ( ( $true = sK2 )
    | ( $true = sK4 )
    | ( $true != sK3 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f11,plain,
    ( ( $true = sK7 )
    | ( $true != sK2 )
    | ( $true != sK6 )
    | ( $true = sK8 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f12,plain,
    ( ( $true = sK4 )
    | ( $true = sK1 )
    | ( $true = sK3 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f13,plain,
    ( ( $true = sK10 )
    | ( $true != sK9 )
    | ( $true != sK8 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f14,plain,
    ( ( $true = sK1 )
    | ( $true = sK7 )
    | ( $true = sK6 )
    | ( $true != sK4 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f15,plain,
    ( ( $true = sK10 )
    | ( $true != sK2 )
    | ( $true != sK0 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f16,plain,
    ( ( $true != sK2 )
    | ( $true = sK6 )
    | ( $true != sK3 )
    | ( $true = sK8 )
    | ( $true != sK5 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f17,plain,
    ( ( $true = sK8 )
    | ( $true = sK4 )
    | ( $true = sK3 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f18,plain,
    ( ( $true != sK2 )
    | ( $true != sK5 )
    | ( $true != sK0 )
    | ( $true != sK8 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f19,plain,
    ( ( $true != sK10 )
    | ( $true != sK5 )
    | ( $true != sK4 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f20,plain,
    ( ( $true != sK9 )
    | ( $true = sK2 )
    | ( $true = sK8 )
    | ( $true != sK3 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f21,plain,
    ( ( $true = sK10 )
    | ( $true = sK7 )
    | ( $true = sK1 )
    | ( $true != sK6 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f22,plain,
    ( ( $true != sK10 )
    | ( $true = sK4 )
    | ( $true != sK9 )
    | ( $true != sK3 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f23,plain,
    ( ( $true = sK3 )
    | ( $true = sK2 )
    | ( $true = sK8 )
    | ( $true != sK4 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f24,plain,
    $true = sK5,
    inference(cnf_transformation,[],[f8]) ).

tff(f25,plain,
    $true = sK0,
    inference(cnf_transformation,[],[f8]) ).

tff(f26,plain,
    ( ( $true = sK9 )
    | ( $true != sK7 ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f29,plain,
    ( ( $true != sK10 )
    | ( $true != $true )
    | ( $true != sK4 ) ),
    inference(definition_unfolding,[],[f19,f24]) ).

tff(f30,plain,
    ( ( $true != sK2 )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != sK8 ) ),
    inference(definition_unfolding,[],[f18,f24,f25]) ).

tff(f31,plain,
    ( ( $true != sK2 )
    | ( $true = sK6 )
    | ( $true != sK3 )
    | ( $true = sK8 )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f16,f24]) ).

tff(f32,plain,
    ( ( $true = sK10 )
    | ( $true != sK2 )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f15,f25]) ).

tff(f33,plain,
    ( ( $true = sK2 )
    | ( $true != sK1 )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f9,f25]) ).

tff(f34,plain,
    ( ( $true = sK2 )
    | ( $true != sK1 ) ),
    inference(trivial_inequality_removal,[],[f33]) ).

tff(f35,plain,
    ( ( $true = sK10 )
    | ( $true != sK2 ) ),
    inference(trivial_inequality_removal,[],[f32]) ).

tff(f36,plain,
    ( ( $true != sK2 )
    | ( $true = sK6 )
    | ( $true != sK3 )
    | ( $true = sK8 ) ),
    inference(trivial_inequality_removal,[],[f31]) ).

tff(f37,plain,
    ( ( $true != sK2 )
    | ( $true != $true )
    | ( $true != sK8 ) ),
    inference(duplicate_literal_removal,[],[f30]) ).

tff(f38,plain,
    ( ( $true != sK2 )
    | ( $true != sK8 ) ),
    inference(trivial_inequality_removal,[],[f37]) ).

tff(f39,plain,
    ( ( $true != sK10 )
    | ( $true != sK4 ) ),
    inference(trivial_inequality_removal,[],[f29]) ).

tff(f40,plain,
    ( ( $true = sK7 )
    | ( $true != sK6 ) ),
    inference(global_subsumption,[],[f21,f39,f38,f35,f12,f11,f10,f34]) ).

tff(f41,plain,
    ( ( $true != sK9 )
    | ( $true != sK3 ) ),
    inference(global_subsumption,[],[f22,f20,f39,f35,f13]) ).

tff(f42,plain,
    ( ( $true = sK3 )
    | ( $true = sK8 ) ),
    inference(global_subsumption,[],[f23,f39,f17,f35]) ).

tff(f46,plain,
    $false,
    inference(global_subsumption,[],[f42,f41,f40,f26,f39,f38,f36,f14,f13,f12,f10,f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYO180^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Tue Sep 29 16:37:08 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13  Running first-order model finding
% 0.08/0.13  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16  % (339413)Will run a generic schedule for satisfiability detection.
% 0.08/0.16  % (339419)% WARNING: option uhcvi not known.
% 0.08/0.16  % (339423)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1065520408:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16  % (339424)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4013769160:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16  % (339418)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=430597058_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16  % (339419)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=8111592:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16  % (339422)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2177199492:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.16  % (339420)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1536565882:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16  % (339421)dis+10_1_sil=32000:sp=arity:random_seed=2227278842:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16  % (339420) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-339413-339420"...
% 0.08/0.16  % (339423) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-339413-339423"...
% 0.08/0.16  % (339424) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-339413-339424"...
% 0.08/0.16  % (339421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-339413-339421"...
% 0.08/0.16  % Detected minimum model sizes of [1]
% 0.08/0.16  % Detected maximum model sizes of [11]
% 0.08/0.16  % TRYING [1]
% 0.08/0.16  % TRYING [2]
% 0.08/0.16  % TRYING [3]
% 0.08/0.16  % TRYING [4]
% 0.08/0.16  % TRYING [5]
% 0.08/0.16  % (339420)...printing done.
% 0.08/0.16  % TRYING [6]
% 0.08/0.16  % (339424)...printing done.
% 0.08/0.16  % (339423)...printing done.
% 0.08/0.16  % (339421)...printing done.
% 0.08/0.16  % TRYING [7]
% 0.08/0.16  % TRYING [8]
% 0.08/0.16  % (339420)Refutation found. Thanks to Tanya!
% 0.08/0.16  % SZS status Theorem for theBenchmark
% 0.08/0.16  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16  % (339420)------------------------------
% 0.08/0.16  % (339420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16  % (339420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16  % (339420)CaDiCaL version: 2.1.3
% 0.08/0.16  % (339420)Termination reason: Refutation
% 0.08/0.16  % (339420)Time elapsed: 0.001 s
% 0.08/0.16  % (339420)Peak memory usage: 11 MB
% 0.08/0.16  % (339420)Instructions burned: 4 (million)
% 0.08/0.16  % (339413)Success in time 0.023 s
% 0.08/0.16  % Vampire exiting
%------------------------------------------------------------------------------