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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG089+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 09:21:27 AM UTC 2026

% Result   : Theorem 0.38s 0.28s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  162 (  32 unt;  19 def)
%            Number of atoms       :  808 ( 604 equ)
%            Maximal formula atoms :  110 (   4 avg)
%            Number of connectives :  793 ( 147   ~; 294   |; 331   &)
%                                         (  19 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   5 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   21 (  19 usr;  20 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e20 != e24
    & e21 != e22
    & e21 != e23
    & e21 != e24
    & e22 != e23
    & e22 != e24
    & e23 != e24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f4,axiom,
    ( op1(e10,e10) = e10
    & op1(e10,e11) = e11
    & op1(e10,e12) = e12
    & op1(e10,e13) = e13
    & op1(e10,e14) = e14
    & op1(e11,e10) = e11
    & op1(e11,e11) = e10
    & op1(e11,e12) = e13
    & op1(e11,e13) = e14
    & op1(e11,e14) = e12
    & op1(e12,e10) = e12
    & op1(e12,e11) = e14
    & op1(e12,e12) = e10
    & op1(e12,e13) = e11
    & op1(e12,e14) = e13
    & op1(e13,e10) = e13
    & op1(e13,e11) = e12
    & op1(e13,e12) = e14
    & op1(e13,e13) = e10
    & op1(e13,e14) = e11
    & op1(e14,e10) = e14
    & op1(e14,e11) = e13
    & op1(e14,e12) = e11
    & op1(e14,e13) = e12
    & op1(e14,e14) = e10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( op2(e20,e20) = e20
    & op2(e20,e21) = e21
    & op2(e20,e22) = e22
    & op2(e20,e23) = e23
    & op2(e20,e24) = e24
    & op2(e21,e20) = e21
    & op2(e21,e21) = e22
    & op2(e21,e22) = e24
    & op2(e21,e23) = e20
    & op2(e21,e24) = e23
    & op2(e22,e20) = e22
    & op2(e22,e21) = e20
    & op2(e22,e22) = e23
    & op2(e22,e23) = e24
    & op2(e22,e24) = e21
    & op2(e23,e20) = e23
    & op2(e23,e21) = e24
    & op2(e23,e22) = e20
    & op2(e23,e23) = e21
    & op2(e23,e24) = e22
    & op2(e24,e20) = e24
    & op2(e24,e21) = e23
    & op2(e24,e22) = e21
    & op2(e24,e23) = e22
    & op2(e24,e24) = e20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f6,conjecture,
    ( ( ( h(e10) = e20
        | h(e10) = e21
        | h(e10) = e22
        | h(e10) = e23
        | h(e10) = e24 )
      & ( h(e11) = e20
        | h(e11) = e21
        | h(e11) = e22
        | h(e11) = e23
        | h(e11) = e24 )
      & ( h(e12) = e20
        | h(e12) = e21
        | h(e12) = e22
        | h(e12) = e23
        | h(e12) = e24 )
      & ( h(e13) = e20
        | h(e13) = e21
        | h(e13) = e22
        | h(e13) = e23
        | h(e13) = e24 )
      & ( h(e14) = e20
        | h(e14) = e21
        | h(e14) = e22
        | h(e14) = e23
        | h(e14) = e24 )
      & ( j(e20) = e10
        | j(e20) = e11
        | j(e20) = e12
        | j(e20) = e13
        | j(e20) = e14 )
      & ( j(e21) = e10
        | j(e21) = e11
        | j(e21) = e12
        | j(e21) = e13
        | j(e21) = e14 )
      & ( j(e22) = e10
        | j(e22) = e11
        | j(e22) = e12
        | j(e22) = e13
        | j(e22) = e14 )
      & ( j(e23) = e10
        | j(e23) = e11
        | j(e23) = e12
        | j(e23) = e13
        | j(e23) = e14 )
      & ( j(e24) = e10
        | j(e24) = e11
        | j(e24) = e12
        | j(e24) = e13
        | j(e24) = e14 ) )
   => ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e14)) = op2(h(e10),h(e14))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e14)) = op2(h(e11),h(e14))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e14)) = op2(h(e12),h(e14))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e14)) = op2(h(e13),h(e14))
        & h(op1(e14,e10)) = op2(h(e14),h(e10))
        & h(op1(e14,e11)) = op2(h(e14),h(e11))
        & h(op1(e14,e12)) = op2(h(e14),h(e12))
        & h(op1(e14,e13)) = op2(h(e14),h(e13))
        & h(op1(e14,e14)) = op2(h(e14),h(e14))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e24)) = op1(j(e20),j(e24))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e24)) = op1(j(e21),j(e24))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e24)) = op1(j(e22),j(e24))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e24)) = op1(j(e23),j(e24))
        & j(op2(e24,e20)) = op1(j(e24),j(e20))
        & j(op2(e24,e21)) = op1(j(e24),j(e21))
        & j(op2(e24,e22)) = op1(j(e24),j(e22))
        & j(op2(e24,e23)) = op1(j(e24),j(e23))
        & j(op2(e24,e24)) = op1(j(e24),j(e24))
        & h(j(e20)) = e20
        & h(j(e21)) = e21
        & h(j(e22)) = e22
        & h(j(e23)) = e23
        & h(j(e24)) = e24
        & j(h(e10)) = e10
        & j(h(e11)) = e11
        & j(h(e12)) = e12
        & j(h(e13)) = e13
        & j(h(e14)) = e14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f7,negated_conjecture,
    ~ ( ( ( h(e10) = e20
          | h(e10) = e21
          | h(e10) = e22
          | h(e10) = e23
          | h(e10) = e24 )
        & ( h(e11) = e20
          | h(e11) = e21
          | h(e11) = e22
          | h(e11) = e23
          | h(e11) = e24 )
        & ( h(e12) = e20
          | h(e12) = e21
          | h(e12) = e22
          | h(e12) = e23
          | h(e12) = e24 )
        & ( h(e13) = e20
          | h(e13) = e21
          | h(e13) = e22
          | h(e13) = e23
          | h(e13) = e24 )
        & ( h(e14) = e20
          | h(e14) = e21
          | h(e14) = e22
          | h(e14) = e23
          | h(e14) = e24 )
        & ( j(e20) = e10
          | j(e20) = e11
          | j(e20) = e12
          | j(e20) = e13
          | j(e20) = e14 )
        & ( j(e21) = e10
          | j(e21) = e11
          | j(e21) = e12
          | j(e21) = e13
          | j(e21) = e14 )
        & ( j(e22) = e10
          | j(e22) = e11
          | j(e22) = e12
          | j(e22) = e13
          | j(e22) = e14 )
        & ( j(e23) = e10
          | j(e23) = e11
          | j(e23) = e12
          | j(e23) = e13
          | j(e23) = e14 )
        & ( j(e24) = e10
          | j(e24) = e11
          | j(e24) = e12
          | j(e24) = e13
          | j(e24) = e14 ) )
     => ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e14)) = op2(h(e10),h(e14))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e14)) = op2(h(e11),h(e14))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e14)) = op2(h(e12),h(e14))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e14)) = op2(h(e13),h(e14))
          & h(op1(e14,e10)) = op2(h(e14),h(e10))
          & h(op1(e14,e11)) = op2(h(e14),h(e11))
          & h(op1(e14,e12)) = op2(h(e14),h(e12))
          & h(op1(e14,e13)) = op2(h(e14),h(e13))
          & h(op1(e14,e14)) = op2(h(e14),h(e14))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e24)) = op1(j(e20),j(e24))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e24)) = op1(j(e21),j(e24))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e24)) = op1(j(e22),j(e24))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e24)) = op1(j(e23),j(e24))
          & j(op2(e24,e20)) = op1(j(e24),j(e20))
          & j(op2(e24,e21)) = op1(j(e24),j(e21))
          & j(op2(e24,e22)) = op1(j(e24),j(e22))
          & j(op2(e24,e23)) = op1(j(e24),j(e23))
          & j(op2(e24,e24)) = op1(j(e24),j(e24))
          & h(j(e20)) = e20
          & h(j(e21)) = e21
          & h(j(e22)) = e22
          & h(j(e23)) = e23
          & h(j(e24)) = e24
          & j(h(e10)) = e10
          & j(h(e11)) = e11
          & j(h(e12)) = e12
          & j(h(e13)) = e13
          & j(h(e14)) = e14 ) ),
    inference(negated_conjecture,[status(cth)],[f6]) ).

fof(f8,plain,
    ( h(op1(e10,e10)) = op2(h(e10),h(e10))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & h(j(e20)) = e20
    & h(j(e21)) = e21
    & h(j(e22)) = e22
    & h(j(e23)) = e23
    & h(j(e24)) = e24
    & j(h(e10)) = e10
    & j(h(e11)) = e11
    & j(h(e12)) = e12
    & j(h(e13)) = e13
    & j(h(e14)) = e14
    & ( h(e10) = e20
      | h(e10) = e21
      | h(e10) = e22
      | h(e10) = e23
      | h(e10) = e24 )
    & ( h(e11) = e20
      | h(e11) = e21
      | h(e11) = e22
      | h(e11) = e23
      | h(e11) = e24 )
    & ( h(e12) = e20
      | h(e12) = e21
      | h(e12) = e22
      | h(e12) = e23
      | h(e12) = e24 )
    & ( h(e13) = e20
      | h(e13) = e21
      | h(e13) = e22
      | h(e13) = e23
      | h(e13) = e24 )
    & ( h(e14) = e20
      | h(e14) = e21
      | h(e14) = e22
      | h(e14) = e23
      | h(e14) = e24 )
    & ( j(e20) = e10
      | j(e20) = e11
      | j(e20) = e12
      | j(e20) = e13
      | j(e20) = e14 )
    & ( j(e21) = e10
      | j(e21) = e11
      | j(e21) = e12
      | j(e21) = e13
      | j(e21) = e14 )
    & ( j(e22) = e10
      | j(e22) = e11
      | j(e22) = e12
      | j(e22) = e13
      | j(e22) = e14 )
    & ( j(e23) = e10
      | j(e23) = e11
      | j(e23) = e12
      | j(e23) = e13
      | j(e23) = e14 )
    & ( j(e24) = e10
      | j(e24) = e11
      | j(e24) = e12
      | j(e24) = e13
      | j(e24) = e14 ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f9,plain,
    ( h(op1(e10,e10)) = op2(h(e10),h(e10))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & h(j(e20)) = e20
    & h(j(e21)) = e21
    & h(j(e22)) = e22
    & h(j(e23)) = e23
    & h(j(e24)) = e24
    & j(h(e10)) = e10
    & j(h(e11)) = e11
    & j(h(e12)) = e12
    & j(h(e13)) = e13
    & j(h(e14)) = e14
    & ( h(e10) = e20
      | h(e10) = e21
      | h(e10) = e22
      | h(e10) = e23
      | h(e10) = e24 )
    & ( h(e11) = e20
      | h(e11) = e21
      | h(e11) = e22
      | h(e11) = e23
      | h(e11) = e24 )
    & ( h(e12) = e20
      | h(e12) = e21
      | h(e12) = e22
      | h(e12) = e23
      | h(e12) = e24 )
    & ( h(e13) = e20
      | h(e13) = e21
      | h(e13) = e22
      | h(e13) = e23
      | h(e13) = e24 )
    & ( h(e14) = e20
      | h(e14) = e21
      | h(e14) = e22
      | h(e14) = e23
      | h(e14) = e24 )
    & ( j(e20) = e10
      | j(e20) = e11
      | j(e20) = e12
      | j(e20) = e13
      | j(e20) = e14 )
    & ( j(e21) = e10
      | j(e21) = e11
      | j(e21) = e12
      | j(e21) = e13
      | j(e21) = e14 )
    & ( j(e22) = e10
      | j(e22) = e11
      | j(e22) = e12
      | j(e22) = e13
      | j(e22) = e14 )
    & ( j(e23) = e10
      | j(e23) = e11
      | j(e23) = e12
      | j(e23) = e13
      | j(e23) = e14 )
    & ( j(e24) = e10
      | j(e24) = e11
      | j(e24) = e12
      | j(e24) = e13
      | j(e24) = e14 ) ),
    inference(flattening,[],[f8]) ).

fof(f20,plain,
    e23 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f26,plain,
    e20 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f27,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f29,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f2]) ).

fof(f55,plain,
    e10 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f61,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f67,plain,
    e10 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f73,plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f79,plain,
    e10 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f80,plain,
    e20 = op2(e24,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    e21 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( e10 = j(e24)
    | e11 = j(e24)
    | e12 = j(e24)
    | e13 = j(e24)
    | e14 = j(e24) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f106,plain,
    ( e10 = j(e23)
    | e11 = j(e23)
    | e12 = j(e23)
    | e13 = j(e23)
    | e14 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f120,plain,
    e24 = h(j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f121,plain,
    e23 = h(j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f123,plain,
    e21 = h(j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f124,plain,
    e20 = h(j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f125,plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f131,plain,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f156,plain,
    h(op1(e13,e13)) = op2(h(e13),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f174,plain,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f176,definition,
    ( spl0_1
  <=> e14 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f178,plain,
    ( e14 = j(e24)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f180,definition,
    ( spl0_2
  <=> e13 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f182,plain,
    ( e13 = j(e24)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f184,definition,
    ( spl0_3
  <=> e12 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f186,plain,
    ( e12 = j(e24)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f188,definition,
    ( spl0_4
  <=> e11 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f190,plain,
    ( e11 = j(e24)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f192,definition,
    ( spl0_5
  <=> e10 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f194,plain,
    ( e10 = j(e24)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f195,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).

fof(f197,definition,
    ( spl0_6
  <=> e14 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f199,plain,
    ( e14 = j(e23)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f201,definition,
    ( spl0_7
  <=> e13 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f203,plain,
    ( e13 = j(e23)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f205,definition,
    ( spl0_8
  <=> e12 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f207,plain,
    ( e12 = j(e23)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f209,definition,
    ( spl0_9
  <=> e11 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f211,plain,
    ( e11 = j(e23)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f213,definition,
    ( spl0_10
  <=> e10 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f215,plain,
    ( e10 = j(e23)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).

fof(f255,definition,
    ( spl0_20
  <=> e10 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f257,plain,
    ( e10 = j(e21)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f276,definition,
    ( spl0_25
  <=> e10 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f278,plain,
    ( e10 = j(e20)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f302,definition,
    ( spl0_31
  <=> e24 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f304,plain,
    ( e24 = h(e13)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f344,definition,
    ( spl0_41
  <=> e24 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f346,plain,
    ( e24 = h(e11)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f348,definition,
    ( spl0_42
  <=> e23 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f350,plain,
    ( e23 = h(e11)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f365,definition,
    ( spl0_46
  <=> e24 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f367,plain,
    ( e24 = h(e10)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f369,definition,
    ( spl0_47
  <=> e23 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f371,plain,
    ( e23 = h(e10)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f377,definition,
    ( spl0_49
  <=> e21 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f379,plain,
    ( e21 = h(e10)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f381,definition,
    ( spl0_50
  <=> e20 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f383,plain,
    ( e20 = h(e10)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f386,plain,
    ( e24 = h(e13)
    | ~ spl0_2 ),
    inference(superposition,[],[f120,f182]) ).

fof(f402,plain,
    ( e23 = h(e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f121,f211]) ).

fof(f403,plain,
    ( spl0_42
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f402,f209,f348]) ).

fof(f408,plain,
    ( e23 = h(e10)
    | ~ spl0_10 ),
    inference(superposition,[],[f121,f215]) ).

fof(f409,plain,
    ( spl0_47
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f408,f213,f369]) ).

fof(f1128,plain,
    ( e24 = h(e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f120,f194]) ).

fof(f1390,plain,
    ( e21 = h(e10)
    | ~ spl0_20 ),
    inference(superposition,[],[f123,f257]) ).

fof(f1544,plain,
    ( spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1128,f192,f365]) ).

fof(f1560,plain,
    ( e20 = h(e10)
    | ~ spl0_25 ),
    inference(superposition,[],[f124,f278]) ).

fof(f1566,plain,
    ( spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1560,f276,f381]) ).

fof(f1567,plain,
    ( spl0_31
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f386,f180,f302]) ).

fof(f1596,plain,
    ( op2(e24,e24) = h(op1(e10,e10))
    | ~ spl0_46 ),
    inference(superposition,[],[f174,f367]) ).

fof(f1769,plain,
    ( e20 = h(op1(e10,e10))
    | ~ spl0_46 ),
    inference(superposition,[],[f1596,f80]) ).

fof(f1770,plain,
    j(e20) = op1(j(e24),j(e24)),
    inference(superposition,[],[f125,f80]) ).

fof(f1771,plain,
    ( e20 = h(e10)
    | ~ spl0_46 ),
    inference(superposition,[],[f1769,f79]) ).

fof(f1773,plain,
    ( spl0_50
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1771,f365,f381]) ).

fof(f1774,plain,
    ( e24 = h(e11)
    | ~ spl0_4 ),
    inference(superposition,[],[f120,f190]) ).

fof(f1778,plain,
    ( spl0_41
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1774,f188,f344]) ).

fof(f1967,plain,
    ( spl0_49
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1390,f255,f377]) ).

fof(f2030,plain,
    ( op1(e11,e11) = j(e20)
    | ~ spl0_4 ),
    inference(superposition,[],[f1770,f190]) ).

fof(f2031,plain,
    ( e10 = j(e20)
    | ~ spl0_4 ),
    inference(superposition,[],[f2030,f73]) ).

fof(f2132,plain,
    ( op2(e24,e24) = h(op1(e13,e13))
    | ~ spl0_31 ),
    inference(superposition,[],[f156,f304]) ).

fof(f2277,plain,
    ( e20 = h(op1(e13,e13))
    | ~ spl0_31 ),
    inference(superposition,[],[f80,f2132]) ).

fof(f2280,plain,
    ( e20 = h(e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f2277,f61]) ).

fof(f2598,plain,
    ( e23 = e24
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(superposition,[],[f346,f350]) ).

fof(f2667,plain,
    ( e23 != e23
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(superposition,[],[f20,f2598]) ).

fof(f2705,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(trivial_inequality_removal,[],[f2667]) ).

fof(f2706,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f2705]) ).

fof(f2726,plain,
    j(e21) = op1(j(e23),j(e23)),
    inference(superposition,[],[f131,f86]) ).

fof(f2727,plain,
    ( op1(e13,e13) = j(e21)
    | ~ spl0_7 ),
    inference(superposition,[],[f2726,f203]) ).

fof(f2729,plain,
    ( e10 = j(e21)
    | ~ spl0_7 ),
    inference(superposition,[],[f61,f2727]) ).

fof(f2730,plain,
    ( spl0_20
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f2729,f201,f255]) ).

fof(f2740,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_6 ),
    inference(superposition,[],[f2726,f199]) ).

fof(f2805,plain,
    ( e10 = j(e21)
    | ~ spl0_6 ),
    inference(superposition,[],[f55,f2740]) ).

fof(f2806,plain,
    ( spl0_20
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f2805,f197,f255]) ).

fof(f2938,plain,
    ( e20 = e21
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(superposition,[],[f379,f383]) ).

fof(f2988,plain,
    ( spl0_50
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2280,f302,f381]) ).

fof(f2993,plain,
    ( op1(e12,e12) = j(e20)
    | ~ spl0_3 ),
    inference(superposition,[],[f1770,f186]) ).

fof(f3107,plain,
    ( e10 = j(e20)
    | ~ spl0_3 ),
    inference(superposition,[],[f67,f2993]) ).

fof(f3108,plain,
    ( spl0_25
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f3107,f184,f276]) ).

fof(f3196,plain,
    ( e20 = e24
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(superposition,[],[f367,f383]) ).

fof(f3309,plain,
    ( op1(e14,e14) = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f1770,f178]) ).

fof(f3370,plain,
    ( e10 = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f55,f3309]) ).

fof(f3371,plain,
    ( spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f3370,f176,f276]) ).

fof(f3461,plain,
    ( e20 != e20
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(superposition,[],[f29,f2938]) ).

fof(f3485,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(trivial_inequality_removal,[],[f3461]) ).

fof(f3486,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f3485]) ).

fof(f3495,plain,
    ( op1(e11,e11) = j(e21)
    | ~ spl0_9 ),
    inference(superposition,[],[f2726,f211]) ).

fof(f3536,plain,
    ( e20 != e20
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(superposition,[],[f26,f3196]) ).

fof(f3570,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(trivial_inequality_removal,[],[f3536]) ).

fof(f3571,plain,
    ( ~ spl0_46
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f3570]) ).

fof(f3688,plain,
    ( e10 = j(e21)
    | ~ spl0_9 ),
    inference(superposition,[],[f73,f3495]) ).

fof(f3689,plain,
    ( spl0_20
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f3688,f209,f255]) ).

fof(f3753,plain,
    ( e20 = e23
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(superposition,[],[f383,f371]) ).

fof(f3813,plain,
    ( e20 != e20
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(superposition,[],[f27,f3753]) ).

fof(f3843,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(trivial_inequality_removal,[],[f3813]) ).

fof(f3844,plain,
    ( ~ spl0_47
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f3843]) ).

fof(f3854,plain,
    ( op1(e12,e12) = j(e21)
    | ~ spl0_8 ),
    inference(superposition,[],[f2726,f207]) ).

fof(f3948,plain,
    ( e10 = j(e21)
    | ~ spl0_8 ),
    inference(superposition,[],[f67,f3854]) ).

fof(f3949,plain,
    ( spl0_20
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f3948,f205,f255]) ).

fof(f3950,plain,
    ( spl0_25
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2031,f188,f276]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f195]) ).

cnf(s2,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s14,plain,
    ( ~ spl0_9
    | spl0_42 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s15,plain,
    ( ~ spl0_10
    | spl0_47 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s67,plain,
    ( ~ spl0_5
    | spl0_46 ),
    inference(sat_conversion,[],[f1544]) ).

cnf(s69,plain,
    ( ~ spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f1566]) ).

cnf(s70,plain,
    ( ~ spl0_2
    | spl0_31 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s71,plain,
    ( ~ spl0_46
    | spl0_50 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s73,plain,
    ( ~ spl0_4
    | spl0_41 ),
    inference(sat_conversion,[],[f1778]) ).

cnf(s80,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s117,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f2706]) ).

cnf(s119,plain,
    ( ~ spl0_7
    | spl0_20 ),
    inference(sat_conversion,[],[f2730]) ).

cnf(s128,plain,
    ( ~ spl0_6
    | spl0_20 ),
    inference(sat_conversion,[],[f2806]) ).

cnf(s156,plain,
    ( ~ spl0_31
    | spl0_50 ),
    inference(sat_conversion,[],[f2988]) ).

cnf(s162,plain,
    ( ~ spl0_3
    | spl0_25 ),
    inference(sat_conversion,[],[f3108]) ).

cnf(s183,plain,
    ( ~ spl0_1
    | spl0_25 ),
    inference(sat_conversion,[],[f3371]) ).

cnf(s196,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f3486]) ).

cnf(s206,plain,
    ( ~ spl0_46
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f3571]) ).

cnf(s222,plain,
    ( ~ spl0_9
    | spl0_20 ),
    inference(sat_conversion,[],[f3689]) ).

cnf(s237,plain,
    ( ~ spl0_47
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f3844]) ).

cnf(s252,plain,
    ( ~ spl0_8
    | spl0_20 ),
    inference(sat_conversion,[],[f3949]) ).

cnf(s255,plain,
    ( ~ spl0_4
    | spl0_25 ),
    inference(sat_conversion,[],[f3950]) ).

cnf(s270,plain,
    ~ spl0_46,
    inference(rat,[],[s71,s206]) ).

cnf(s271,plain,
    ~ spl0_5,
    inference(rat,[],[s67,s270]) ).

cnf(s272,plain,
    ~ spl0_4,
    inference(rat,[],[s2,s119,s128,s252,s80,s15,s14,s196,s237,s117,s69,s73,s255]) ).

cnf(s274,plain,
    ~ spl0_50,
    inference(rat,[],[s2,s119,s128,s222,s252,s80,s15,s196,s237]) ).

cnf(s275,plain,
    ~ spl0_31,
    inference(rat,[],[s156,s274]) ).

cnf(s276,plain,
    ~ spl0_25,
    inference(rat,[],[s69,s274]) ).

cnf(s277,plain,
    ~ spl0_2,
    inference(rat,[],[s70,s275]) ).

cnf(s278,plain,
    ~ spl0_3,
    inference(rat,[],[s162,s276]) ).

cnf(s279,plain,
    spl0_1,
    inference(rat,[],[s1,s271,s272,s278,s277]) ).

cnf(s280,plain,
    $false,
    inference(rat,[],[s183,s276,s279]) ).

fof(f3951,plain,
    $false,
    inference(avatar_sat_refutation,[],[s280]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG089+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n011.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 19:26:01 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 0.38/0.28  % (3691404)Will run a generic schedule for satisfiability detection.
% 0.38/0.28  % (3691415)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1248459881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.28  % (3691410)% WARNING: option uhcvi not known.
% 0.38/0.28  % (3691409)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3895578652_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.28  % (3691413)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=846645665:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.28  % (3691410)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3995134322:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.28  % (3691412)dis+10_1_sil=32000:sp=arity:random_seed=1803096862:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.28  % (3691414)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3448568116:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.28  % (3691411)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3829049412:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.28  % Detected minimum model sizes of [10]
% 0.38/0.28  % Detected maximum model sizes of [max]
% 0.38/0.28  % TRYING [10]
% 0.38/0.28  % (3691415) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3691404-3691415"...
% 0.38/0.28  % (3691415)...printing done.
% 0.38/0.28  % (3691415)Refutation found. Thanks to Tanya!
% 0.38/0.28  % SZS status Theorem for theBenchmark
% 0.38/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.29  % (3691415)------------------------------
% 0.38/0.29  % (3691415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.29  % (3691415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.29  % (3691415)CaDiCaL version: 2.1.3
% 0.38/0.29  % (3691415)Termination reason: Refutation
% 0.38/0.29  % (3691415)Time elapsed: 0.046 s
% 0.38/0.29  % (3691415)Peak memory usage: 13 MB
% 0.38/0.29  % (3691415)Instructions burned: 158 (million)
% 0.38/0.29  % (3691404)Success in time 0.072 s
% 0.38/0.29  % Vampire exiting
%------------------------------------------------------------------------------