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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : ALG185+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 : Thu Sep 24 12:01:26 PM UTC 2026

% Result   : Theorem 0.62s 0.52s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   65
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  197 (  77 unt;   0 def)
%            Number of atoms       : 1145 (1125 equ)
%            Maximal formula atoms :  110 (   5 avg)
%            Number of connectives : 1034 (  86   ~; 559   |; 384   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (   5 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   2 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(co1,conjecture,
    ( ( ( j(e24) = e14
        | j(e24) = e13
        | j(e24) = e12
        | j(e24) = e11
        | j(e24) = e10 )
      & ( j(e23) = e14
        | j(e23) = e13
        | j(e23) = e12
        | j(e23) = e11
        | j(e23) = e10 )
      & ( j(e22) = e14
        | j(e22) = e13
        | j(e22) = e12
        | j(e22) = e11
        | j(e22) = e10 )
      & ( j(e21) = e14
        | j(e21) = e13
        | j(e21) = e12
        | j(e21) = e11
        | j(e21) = e10 )
      & ( j(e20) = e14
        | j(e20) = e13
        | j(e20) = e12
        | j(e20) = e11
        | j(e20) = e10 )
      & ( h(e14) = e24
        | h(e14) = e23
        | h(e14) = e22
        | h(e14) = e21
        | h(e14) = e20 )
      & ( h(e13) = e24
        | h(e13) = e23
        | h(e13) = e22
        | h(e13) = e21
        | h(e13) = e20 )
      & ( h(e12) = e24
        | h(e12) = e23
        | h(e12) = e22
        | h(e12) = e21
        | h(e12) = e20 )
      & ( h(e11) = e24
        | h(e11) = e23
        | h(e11) = e22
        | h(e11) = e21
        | h(e11) = e20 )
      & ( h(e10) = e24
        | h(e10) = e23
        | h(e10) = e22
        | h(e10) = e21
        | h(e10) = e20 ) )
   => ~ ( j(h(e14)) = e14
        & j(h(e13)) = e13
        & j(h(e12)) = e12
        & j(h(e11)) = e11
        & j(h(e10)) = e10
        & h(j(e24)) = e24
        & h(j(e23)) = e23
        & h(j(e22)) = e22
        & h(j(e21)) = e21
        & h(j(e20)) = e20
        & j(op2(e24,e24)) = op1(j(e24),j(e24))
        & j(op2(e24,e23)) = op1(j(e24),j(e23))
        & j(op2(e24,e22)) = op1(j(e24),j(e22))
        & j(op2(e24,e21)) = op1(j(e24),j(e21))
        & j(op2(e24,e20)) = op1(j(e24),j(e20))
        & j(op2(e23,e24)) = op1(j(e23),j(e24))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e22,e24)) = op1(j(e22),j(e24))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e21,e24)) = op1(j(e21),j(e24))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e20,e24)) = op1(j(e20),j(e24))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & h(op1(e14,e14)) = op2(h(e14),h(e14))
        & h(op1(e14,e13)) = op2(h(e14),h(e13))
        & h(op1(e14,e12)) = op2(h(e14),h(e12))
        & h(op1(e14,e11)) = op2(h(e14),h(e11))
        & h(op1(e14,e10)) = op2(h(e14),h(e10))
        & h(op1(e13,e14)) = op2(h(e13),h(e14))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e12,e14)) = op2(h(e12),h(e14))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e11,e14)) = op2(h(e11),h(e14))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e10,e14)) = op2(h(e10),h(e14))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

fof(ax1,axiom,
    ( e13 != e14
    & e12 != e14
    & e12 != e13
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(c_0_5,plain,
    ( epred1_0
  <=> ( ( j(e24) = e14
        | j(e24) = e13
        | j(e24) = e12
        | j(e24) = e11
        | j(e24) = e10 )
      & ( j(e23) = e14
        | j(e23) = e13
        | j(e23) = e12
        | j(e23) = e11
        | j(e23) = e10 )
      & ( j(e22) = e14
        | j(e22) = e13
        | j(e22) = e12
        | j(e22) = e11
        | j(e22) = e10 )
      & ( j(e21) = e14
        | j(e21) = e13
        | j(e21) = e12
        | j(e21) = e11
        | j(e21) = e10 )
      & ( j(e20) = e14
        | j(e20) = e13
        | j(e20) = e12
        | j(e20) = e11
        | j(e20) = e10 )
      & ( h(e14) = e24
        | h(e14) = e23
        | h(e14) = e22
        | h(e14) = e21
        | h(e14) = e20 )
      & ( h(e13) = e24
        | h(e13) = e23
        | h(e13) = e22
        | h(e13) = e21
        | h(e13) = e20 )
      & ( h(e12) = e24
        | h(e12) = e23
        | h(e12) = e22
        | h(e12) = e21
        | h(e12) = e20 )
      & ( h(e11) = e24
        | h(e11) = e23
        | h(e11) = e22
        | h(e11) = e21
        | h(e11) = e20 )
      & ( h(e10) = e24
        | h(e10) = e23
        | h(e10) = e22
        | h(e10) = e21
        | h(e10) = e20 ) ) ),
    introduced(definition) ).

fof(c_0_6,negated_conjecture,
    ~ ( ( ( j(e24) = e14
          | j(e24) = e13
          | j(e24) = e12
          | j(e24) = e11
          | j(e24) = e10 )
        & ( j(e23) = e14
          | j(e23) = e13
          | j(e23) = e12
          | j(e23) = e11
          | j(e23) = e10 )
        & ( j(e22) = e14
          | j(e22) = e13
          | j(e22) = e12
          | j(e22) = e11
          | j(e22) = e10 )
        & ( j(e21) = e14
          | j(e21) = e13
          | j(e21) = e12
          | j(e21) = e11
          | j(e21) = e10 )
        & ( j(e20) = e14
          | j(e20) = e13
          | j(e20) = e12
          | j(e20) = e11
          | j(e20) = e10 )
        & ( h(e14) = e24
          | h(e14) = e23
          | h(e14) = e22
          | h(e14) = e21
          | h(e14) = e20 )
        & ( h(e13) = e24
          | h(e13) = e23
          | h(e13) = e22
          | h(e13) = e21
          | h(e13) = e20 )
        & ( h(e12) = e24
          | h(e12) = e23
          | h(e12) = e22
          | h(e12) = e21
          | h(e12) = e20 )
        & ( h(e11) = e24
          | h(e11) = e23
          | h(e11) = e22
          | h(e11) = e21
          | h(e11) = e20 )
        & ( h(e10) = e24
          | h(e10) = e23
          | h(e10) = e22
          | h(e10) = e21
          | h(e10) = e20 ) )
     => ~ ( j(h(e14)) = e14
          & j(h(e13)) = e13
          & j(h(e12)) = e12
          & j(h(e11)) = e11
          & j(h(e10)) = e10
          & h(j(e24)) = e24
          & h(j(e23)) = e23
          & h(j(e22)) = e22
          & h(j(e21)) = e21
          & h(j(e20)) = e20
          & j(op2(e24,e24)) = op1(j(e24),j(e24))
          & j(op2(e24,e23)) = op1(j(e24),j(e23))
          & j(op2(e24,e22)) = op1(j(e24),j(e22))
          & j(op2(e24,e21)) = op1(j(e24),j(e21))
          & j(op2(e24,e20)) = op1(j(e24),j(e20))
          & j(op2(e23,e24)) = op1(j(e23),j(e24))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e22,e24)) = op1(j(e22),j(e24))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e21,e24)) = op1(j(e21),j(e24))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e20,e24)) = op1(j(e20),j(e24))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & h(op1(e14,e14)) = op2(h(e14),h(e14))
          & h(op1(e14,e13)) = op2(h(e14),h(e13))
          & h(op1(e14,e12)) = op2(h(e14),h(e12))
          & h(op1(e14,e11)) = op2(h(e14),h(e11))
          & h(op1(e14,e10)) = op2(h(e14),h(e10))
          & h(op1(e13,e14)) = op2(h(e13),h(e14))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e12,e14)) = op2(h(e12),h(e14))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e11,e14)) = op2(h(e11),h(e14))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e10,e14)) = op2(h(e10),h(e14))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_7,plain,
    ( epred1_0
   => ( ( j(e24) = e14
        | j(e24) = e13
        | j(e24) = e12
        | j(e24) = e11
        | j(e24) = e10 )
      & ( j(e23) = e14
        | j(e23) = e13
        | j(e23) = e12
        | j(e23) = e11
        | j(e23) = e10 )
      & ( j(e22) = e14
        | j(e22) = e13
        | j(e22) = e12
        | j(e22) = e11
        | j(e22) = e10 )
      & ( j(e21) = e14
        | j(e21) = e13
        | j(e21) = e12
        | j(e21) = e11
        | j(e21) = e10 )
      & ( j(e20) = e14
        | j(e20) = e13
        | j(e20) = e12
        | j(e20) = e11
        | j(e20) = e10 )
      & ( h(e14) = e24
        | h(e14) = e23
        | h(e14) = e22
        | h(e14) = e21
        | h(e14) = e20 )
      & ( h(e13) = e24
        | h(e13) = e23
        | h(e13) = e22
        | h(e13) = e21
        | h(e13) = e20 )
      & ( h(e12) = e24
        | h(e12) = e23
        | h(e12) = e22
        | h(e12) = e21
        | h(e12) = e20 )
      & ( h(e11) = e24
        | h(e11) = e23
        | h(e11) = e22
        | h(e11) = e21
        | h(e11) = e20 )
      & ( h(e10) = e24
        | h(e10) = e23
        | h(e10) = e22
        | h(e10) = e21
        | h(e10) = e20 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_5]) ).

fof(c_0_8,negated_conjecture,
    ~ ( epred1_0
     => ~ ( j(h(e14)) = e14
          & j(h(e13)) = e13
          & j(h(e12)) = e12
          & j(h(e11)) = e11
          & j(h(e10)) = e10
          & h(j(e24)) = e24
          & h(j(e23)) = e23
          & h(j(e22)) = e22
          & h(j(e21)) = e21
          & h(j(e20)) = e20
          & j(op2(e24,e24)) = op1(j(e24),j(e24))
          & j(op2(e24,e23)) = op1(j(e24),j(e23))
          & j(op2(e24,e22)) = op1(j(e24),j(e22))
          & j(op2(e24,e21)) = op1(j(e24),j(e21))
          & j(op2(e24,e20)) = op1(j(e24),j(e20))
          & j(op2(e23,e24)) = op1(j(e23),j(e24))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e22,e24)) = op1(j(e22),j(e24))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e21,e24)) = op1(j(e21),j(e24))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e20,e24)) = op1(j(e20),j(e24))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & h(op1(e14,e14)) = op2(h(e14),h(e14))
          & h(op1(e14,e13)) = op2(h(e14),h(e13))
          & h(op1(e14,e12)) = op2(h(e14),h(e12))
          & h(op1(e14,e11)) = op2(h(e14),h(e11))
          & h(op1(e14,e10)) = op2(h(e14),h(e10))
          & h(op1(e13,e14)) = op2(h(e13),h(e14))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e12,e14)) = op2(h(e12),h(e14))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e11,e14)) = op2(h(e11),h(e14))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e10,e14)) = op2(h(e10),h(e14))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    inference(apply_def,[status(thm)],[c_0_6,c_0_5]) ).

fof(c_0_9,plain,
    ( ( ~ epred1_0
      | j(e24) = e14
      | j(e24) = e13
      | j(e24) = e12
      | j(e24) = e11
      | j(e24) = e10 )
    & ( ~ epred1_0
      | j(e23) = e14
      | j(e23) = e13
      | j(e23) = e12
      | j(e23) = e11
      | j(e23) = e10 )
    & ( ~ epred1_0
      | j(e22) = e14
      | j(e22) = e13
      | j(e22) = e12
      | j(e22) = e11
      | j(e22) = e10 )
    & ( ~ epred1_0
      | j(e21) = e14
      | j(e21) = e13
      | j(e21) = e12
      | j(e21) = e11
      | j(e21) = e10 )
    & ( ~ epred1_0
      | j(e20) = e14
      | j(e20) = e13
      | j(e20) = e12
      | j(e20) = e11
      | j(e20) = e10 )
    & ( ~ epred1_0
      | h(e14) = e24
      | h(e14) = e23
      | h(e14) = e22
      | h(e14) = e21
      | h(e14) = e20 )
    & ( ~ epred1_0
      | h(e13) = e24
      | h(e13) = e23
      | h(e13) = e22
      | h(e13) = e21
      | h(e13) = e20 )
    & ( ~ epred1_0
      | h(e12) = e24
      | h(e12) = e23
      | h(e12) = e22
      | h(e12) = e21
      | h(e12) = e20 )
    & ( ~ epred1_0
      | h(e11) = e24
      | h(e11) = e23
      | h(e11) = e22
      | h(e11) = e21
      | h(e11) = e20 )
    & ( ~ epred1_0
      | h(e10) = e24
      | h(e10) = e23
      | h(e10) = e22
      | h(e10) = e21
      | h(e10) = e20 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_10,negated_conjecture,
    ( j(h(e14)) = e14
    & j(h(e13)) = e13
    & j(h(e12)) = e12
    & j(h(e11)) = e11
    & j(h(e10)) = e10
    & h(j(e24)) = e24
    & h(j(e23)) = e23
    & h(j(e22)) = e22
    & h(j(e21)) = e21
    & h(j(e20)) = e20
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & epred1_0 ),
    inference(fof_nnf,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    ( ~ epred1_0
    | j(e20) = e14
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    ( ~ epred1_0
    | j(e21) = e14
    | j(e21) = e13
    | j(e21) = e12
    | j(e21) = e11
    | j(e21) = e10 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,plain,
    ( e23 != e24
    & e22 != e24
    & e22 != e23
    & e21 != e24
    & e21 != e23
    & e21 != e22
    & e20 != e24
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    inference(fof_simplification,[status(thm)],[ax2]) ).

cnf(c_0_15,negated_conjecture,
    j(op2(e21,e20)) = op1(j(e21),j(e20)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    op2(e21,e20) = e22,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_17,negated_conjecture,
    h(j(e20)) = e20,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | j(e20) = e14 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

cnf(c_0_19,negated_conjecture,
    h(j(e21)) = e21,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13
    | j(e21) = e14 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_12])]) ).

fof(c_0_21,plain,
    ( e23 != e24
    & e22 != e24
    & e22 != e23
    & e21 != e24
    & e21 != e23
    & e21 != e22
    & e20 != e24
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    inference(fof_nnf,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    j(op2(e22,e20)) = op1(j(e22),j(e20)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,plain,
    op2(e22,e20) = e21,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_24,negated_conjecture,
    op1(j(e21),j(e20)) = j(e22),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    ( h(e14) = e20
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13 ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ( h(e14) = e21
    | j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13 ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    e20 != e21,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    op1(j(e22),j(e20)) = j(e21),
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | op1(j(e21),e14) = j(e22) ),
    inference(spm,[status(thm)],[c_0_24,c_0_18]) ).

cnf(c_0_30,negated_conjecture,
    ( j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e13
    | j(e21) = e12
    | j(e21) = e11
    | j(e21) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_31,plain,
    op1(e13,e14) = e11,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_32,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | op1(j(e22),e14) = j(e21) ),
    inference(spm,[status(thm)],[c_0_28,c_0_18]) ).

cnf(c_0_33,negated_conjecture,
    ( j(e22) = e11
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_34,plain,
    op1(e11,e14) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_35,negated_conjecture,
    j(op2(e20,e21)) = op1(j(e20),j(e21)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_36,plain,
    op2(e20,e21) = e23,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_37,negated_conjecture,
    ( j(e21) = e10
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e12
    | j(e21) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_38,plain,
    op1(e12,e14) = e13,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_39,negated_conjecture,
    j(op2(e20,e23)) = op1(j(e20),j(e23)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_40,plain,
    op2(e20,e23) = e22,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_41,negated_conjecture,
    op1(j(e20),j(e21)) = j(e23),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ( j(e22) = e13
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e11
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    op1(j(e20),j(e23)) = j(e22),
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | op1(e14,j(e21)) = j(e23) ),
    inference(spm,[status(thm)],[c_0_41,c_0_18]) ).

cnf(c_0_45,negated_conjecture,
    ( j(e21) = e11
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_42]),c_0_31])]) ).

cnf(c_0_46,plain,
    op1(e14,e11) = e12,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_47,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | op1(e14,j(e23)) = j(e22) ),
    inference(spm,[status(thm)],[c_0_43,c_0_18]) ).

cnf(c_0_48,negated_conjecture,
    ( j(e23) = e12
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_49,plain,
    op1(e14,e12) = e11,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_50,plain,
    ( ~ epred1_0
    | h(e10) = e24
    | h(e10) = e23
    | h(e10) = e22
    | h(e10) = e21
    | h(e10) = e20 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_51,negated_conjecture,
    ( j(e22) = e11
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    j(h(e10)) = e10,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_53,plain,
    ( h(e10) = e20
    | h(e10) = e21
    | h(e10) = e22
    | h(e10) = e23
    | h(e10) = e24 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_12])]) ).

cnf(c_0_54,negated_conjecture,
    ( j(e21) = e10
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_51]),c_0_34])]) ).

cnf(c_0_55,plain,
    op1(e14,e10) = e13,
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_56,plain,
    ( e13 != e14
    & e12 != e14
    & e12 != e13
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    inference(fof_simplification,[status(thm)],[ax1]) ).

cnf(c_0_57,negated_conjecture,
    ( j(e24) = e10
    | h(e10) = e20
    | h(e10) = e21
    | h(e10) = e22
    | h(e10) = e23 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,plain,
    op1(e10,e14) = e12,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_59,negated_conjecture,
    ( j(e23) = e13
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_54]),c_0_55]) ).

cnf(c_0_60,plain,
    op1(e14,e13) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_61,plain,
    ( e13 != e14
    & e12 != e14
    & e12 != e13
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    inference(fof_nnf,[status(thm)],[c_0_56]) ).

cnf(c_0_62,negated_conjecture,
    ( j(e23) = e10
    | h(e10) = e22
    | h(e10) = e21
    | h(e10) = e20
    | j(e24) = e10 ),
    inference(spm,[status(thm)],[c_0_52,c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    j(op2(e24,e20)) = op1(j(e24),j(e20)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_64,plain,
    op2(e24,e20) = e23,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_65,negated_conjecture,
    ( j(e22) = e12
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_54]),c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    ( j(e22) = e10
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_59]),c_0_60]) ).

cnf(c_0_67,plain,
    e10 != e12,
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_68,negated_conjecture,
    ( j(e22) = e10
    | j(e24) = e10
    | h(e10) = e20
    | h(e10) = e21
    | j(e23) = e10 ),
    inference(spm,[status(thm)],[c_0_52,c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    j(op2(e23,e20)) = op1(j(e23),j(e20)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_70,plain,
    op2(e23,e20) = e24,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_71,negated_conjecture,
    op1(j(e24),j(e20)) = j(e23),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_73,negated_conjecture,
    ( j(e21) = e10
    | j(e23) = e10
    | h(e10) = e20
    | j(e24) = e10
    | j(e22) = e10 ),
    inference(spm,[status(thm)],[c_0_52,c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    op1(j(e23),j(e20)) = j(e24),
    inference(rw,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | op1(j(e24),e13) = j(e23) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_76,negated_conjecture,
    ( j(e20) = e10
    | j(e22) = e10
    | j(e24) = e10
    | j(e23) = e10
    | j(e21) = e10 ),
    inference(spm,[status(thm)],[c_0_52,c_0_73]) ).

cnf(c_0_77,plain,
    op1(e10,e13) = e11,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_78,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | op1(j(e23),e13) = j(e24) ),
    inference(spm,[status(thm)],[c_0_74,c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    ( j(e23) = e11
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e21) = e10
    | j(e23) = e10
    | j(e22) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_80,plain,
    op1(e11,e13) = e12,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_81,negated_conjecture,
    j(op2(e20,e22)) = op1(j(e20),j(e22)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_82,plain,
    op2(e20,e22) = e24,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_83,negated_conjecture,
    ( j(e24) = e12
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e22) = e10
    | j(e23) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    op1(j(e20),j(e22)) = j(e24),
    inference(rw,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | op1(e13,j(e23)) = j(e22) ),
    inference(spm,[status(thm)],[c_0_43,c_0_72]) ).

cnf(c_0_86,negated_conjecture,
    ( j(e21) = e10
    | j(e23) = e10
    | j(e22) = e10
    | j(e20) = e10
    | j(e20) = e12
    | j(e20) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_83]),c_0_67]) ).

cnf(c_0_87,plain,
    op1(e13,e10) = e12,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_88,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | op1(e13,j(e22)) = j(e24) ),
    inference(spm,[status(thm)],[c_0_84,c_0_72]) ).

cnf(c_0_89,negated_conjecture,
    ( j(e22) = e12
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e22) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_90,plain,
    op1(e13,e12) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_91,negated_conjecture,
    j(op2(e20,e24)) = op1(j(e20),j(e24)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_92,plain,
    op2(e20,e24) = e21,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_93,negated_conjecture,
    ( j(e24) = e11
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e22) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_86]),c_0_77]) ).

cnf(c_0_94,negated_conjecture,
    ( j(e24) = e10
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e21) = e10
    | j(e22) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).

cnf(c_0_95,plain,
    e10 != e11,
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_96,negated_conjecture,
    op1(j(e20),j(e24)) = j(e21),
    inference(rw,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_97,negated_conjecture,
    ( j(e21) = e10
    | j(e22) = e10
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).

cnf(c_0_98,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | op1(e13,j(e24)) = j(e21) ),
    inference(spm,[status(thm)],[c_0_96,c_0_72]) ).

cnf(c_0_99,negated_conjecture,
    ( j(e24) = e12
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_97]),c_0_87]) ).

cnf(c_0_100,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | op1(e13,j(e21)) = j(e23) ),
    inference(spm,[status(thm)],[c_0_41,c_0_72]) ).

cnf(c_0_101,negated_conjecture,
    ( j(e21) = e10
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_90])]) ).

cnf(c_0_102,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10
    | op1(j(e21),e13) = j(e22) ),
    inference(spm,[status(thm)],[c_0_24,c_0_72]) ).

cnf(c_0_103,negated_conjecture,
    ( j(e23) = e12
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_87]) ).

cnf(c_0_104,negated_conjecture,
    ( j(e22) = e11
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_101]),c_0_77]) ).

cnf(c_0_105,negated_conjecture,
    ( j(e22) = e10
    | j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_103]),c_0_90]) ).

cnf(c_0_106,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_95]) ).

cnf(c_0_107,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | op1(j(e24),e12) = j(e23) ),
    inference(spm,[status(thm)],[c_0_71,c_0_106]) ).

cnf(c_0_108,plain,
    op1(e10,e12) = e14,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_109,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | op1(j(e23),e12) = j(e24) ),
    inference(spm,[status(thm)],[c_0_74,c_0_106]) ).

cnf(c_0_110,negated_conjecture,
    ( j(e23) = e14
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e10
    | j(e23) = e10
    | j(e22) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_76]),c_0_108]) ).

cnf(c_0_111,negated_conjecture,
    ( j(e24) = e11
    | j(e20) = e11
    | j(e20) = e10
    | j(e22) = e10
    | j(e23) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_49]) ).

cnf(c_0_112,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | op1(e12,j(e23)) = j(e22) ),
    inference(spm,[status(thm)],[c_0_43,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    ( j(e21) = e10
    | j(e23) = e10
    | j(e22) = e10
    | j(e20) = e10
    | j(e20) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_111]),c_0_95]) ).

cnf(c_0_114,plain,
    op1(e12,e10) = e11,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_115,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | op1(e12,j(e22)) = j(e24) ),
    inference(spm,[status(thm)],[c_0_84,c_0_106]) ).

cnf(c_0_116,negated_conjecture,
    ( j(e22) = e11
    | j(e20) = e11
    | j(e20) = e10
    | j(e22) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

cnf(c_0_117,plain,
    op1(e12,e11) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_118,negated_conjecture,
    ( j(e24) = e14
    | j(e20) = e11
    | j(e20) = e10
    | j(e22) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_113]),c_0_108]) ).

cnf(c_0_119,negated_conjecture,
    ( j(e24) = e10
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e10
    | j(e22) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).

cnf(c_0_120,plain,
    e10 != e14,
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_121,negated_conjecture,
    ( j(e21) = e10
    | j(e22) = e10
    | j(e20) = e10
    | j(e20) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).

cnf(c_0_122,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | op1(e12,j(e24)) = j(e21) ),
    inference(spm,[status(thm)],[c_0_96,c_0_106]) ).

cnf(c_0_123,negated_conjecture,
    ( j(e24) = e11
    | j(e20) = e11
    | j(e20) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_121]),c_0_114]) ).

cnf(c_0_124,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | op1(e12,j(e21)) = j(e23) ),
    inference(spm,[status(thm)],[c_0_41,c_0_106]) ).

cnf(c_0_125,negated_conjecture,
    ( j(e21) = e10
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_117])]) ).

cnf(c_0_126,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | op1(j(e21),e12) = j(e22) ),
    inference(spm,[status(thm)],[c_0_24,c_0_106]) ).

cnf(c_0_127,negated_conjecture,
    ( j(e23) = e11
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_114]) ).

cnf(c_0_128,negated_conjecture,
    ( j(e22) = e14
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125]),c_0_108]) ).

cnf(c_0_129,negated_conjecture,
    ( j(e22) = e10
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_127]),c_0_117]) ).

cnf(c_0_130,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_120]) ).

cnf(c_0_131,negated_conjecture,
    ( j(e20) = e10
    | op1(j(e24),e11) = j(e23) ),
    inference(spm,[status(thm)],[c_0_71,c_0_130]) ).

cnf(c_0_132,plain,
    op1(e10,e11) = e13,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_133,negated_conjecture,
    ( j(e20) = e10
    | op1(j(e23),e11) = j(e24) ),
    inference(spm,[status(thm)],[c_0_74,c_0_130]) ).

cnf(c_0_134,negated_conjecture,
    ( j(e23) = e13
    | j(e20) = e10
    | j(e21) = e10
    | j(e23) = e10
    | j(e22) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_76]),c_0_132]) ).

cnf(c_0_135,plain,
    op1(e13,e11) = e14,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_136,negated_conjecture,
    ( j(e24) = e14
    | j(e20) = e10
    | j(e22) = e10
    | j(e23) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).

cnf(c_0_137,negated_conjecture,
    ( j(e20) = e10
    | op1(e11,j(e23)) = j(e22) ),
    inference(spm,[status(thm)],[c_0_43,c_0_130]) ).

cnf(c_0_138,negated_conjecture,
    ( j(e21) = e10
    | j(e23) = e10
    | j(e22) = e10
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_136]),c_0_120]) ).

cnf(c_0_139,plain,
    op1(e11,e10) = e14,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_140,negated_conjecture,
    ( j(e20) = e10
    | op1(e11,j(e22)) = j(e24) ),
    inference(spm,[status(thm)],[c_0_84,c_0_130]) ).

cnf(c_0_141,negated_conjecture,
    ( j(e22) = e14
    | j(e20) = e10
    | j(e22) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).

cnf(c_0_142,negated_conjecture,
    ( j(e24) = e13
    | j(e20) = e10
    | j(e22) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_138]),c_0_132]) ).

cnf(c_0_143,negated_conjecture,
    ( j(e24) = e10
    | j(e20) = e10
    | j(e21) = e10
    | j(e22) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_34]) ).

cnf(c_0_144,plain,
    e10 != e13,
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_145,plain,
    ( ~ epred1_0
    | h(e14) = e24
    | h(e14) = e23
    | h(e14) = e22
    | h(e14) = e21
    | h(e14) = e20 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_146,negated_conjecture,
    ( j(e21) = e10
    | j(e22) = e10
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).

cnf(c_0_147,negated_conjecture,
    j(h(e14)) = e14,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_148,plain,
    ( h(e14) = e20
    | h(e14) = e21
    | h(e14) = e22
    | h(e14) = e23
    | h(e14) = e24 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_12])]) ).

cnf(c_0_149,negated_conjecture,
    ( j(e20) = e10
    | op1(e11,j(e24)) = j(e21) ),
    inference(spm,[status(thm)],[c_0_96,c_0_130]) ).

cnf(c_0_150,negated_conjecture,
    ( j(e24) = e14
    | j(e20) = e10
    | j(e21) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_146]),c_0_139]) ).

cnf(c_0_151,negated_conjecture,
    ( j(e24) = e14
    | h(e14) = e20
    | h(e14) = e21
    | h(e14) = e22
    | h(e14) = e23 ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_152,negated_conjecture,
    ( j(e20) = e10
    | op1(e11,j(e21)) = j(e23) ),
    inference(spm,[status(thm)],[c_0_41,c_0_130]) ).

cnf(c_0_153,negated_conjecture,
    ( j(e21) = e10
    | j(e20) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_34])]) ).

cnf(c_0_154,negated_conjecture,
    ( j(e23) = e14
    | h(e14) = e22
    | h(e14) = e21
    | h(e14) = e20
    | j(e24) = e14 ),
    inference(spm,[status(thm)],[c_0_147,c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    ( j(e20) = e10
    | op1(j(e21),e11) = j(e22) ),
    inference(spm,[status(thm)],[c_0_24,c_0_130]) ).

cnf(c_0_156,negated_conjecture,
    ( j(e23) = e14
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_139]) ).

cnf(c_0_157,negated_conjecture,
    ( j(e22) = e14
    | j(e24) = e14
    | h(e14) = e20
    | h(e14) = e21
    | j(e23) = e14 ),
    inference(spm,[status(thm)],[c_0_147,c_0_154]) ).

cnf(c_0_158,negated_conjecture,
    ( j(e22) = e13
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_153]),c_0_132]) ).

cnf(c_0_159,negated_conjecture,
    ( j(e22) = e10
    | j(e20) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_156]),c_0_34]) ).

cnf(c_0_160,negated_conjecture,
    ( j(e21) = e14
    | j(e23) = e14
    | h(e14) = e20
    | j(e24) = e14
    | j(e22) = e14 ),
    inference(spm,[status(thm)],[c_0_147,c_0_157]) ).

cnf(c_0_161,negated_conjecture,
    h(op1(e14,e10)) = op2(h(e14),h(e10)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_162,negated_conjecture,
    j(e20) = e10,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_144]) ).

cnf(c_0_163,negated_conjecture,
    h(j(e24)) = e24,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_164,negated_conjecture,
    ( j(e20) = e14
    | j(e22) = e14
    | j(e24) = e14
    | j(e23) = e14
    | j(e21) = e14 ),
    inference(spm,[status(thm)],[c_0_147,c_0_160]) ).

cnf(c_0_165,negated_conjecture,
    h(op1(e10,e14)) = op2(h(e10),h(e14)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_166,negated_conjecture,
    h(op1(e13,e10)) = op2(h(e13),h(e10)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_167,negated_conjecture,
    op2(h(e14),h(e10)) = h(e13),
    inference(rw,[status(thm)],[c_0_161,c_0_55]) ).

cnf(c_0_168,negated_conjecture,
    h(e10) = e20,
    inference(rw,[status(thm)],[c_0_17,c_0_162]) ).

cnf(c_0_169,negated_conjecture,
    ( h(e14) = e24
    | j(e21) = e14
    | j(e23) = e14
    | j(e22) = e14
    | j(e20) = e14 ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_170,negated_conjecture,
    op2(h(e10),h(e14)) = h(e12),
    inference(rw,[status(thm)],[c_0_165,c_0_58]) ).

cnf(c_0_171,negated_conjecture,
    op2(h(e13),h(e10)) = h(e12),
    inference(rw,[status(thm)],[c_0_166,c_0_87]) ).

cnf(c_0_172,negated_conjecture,
    op2(h(e14),e20) = h(e13),
    inference(rw,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_173,negated_conjecture,
    ( j(e22) = e14
    | j(e23) = e14
    | j(e21) = e14
    | h(e14) = e24 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_162]),c_0_120]) ).

cnf(c_0_174,negated_conjecture,
    op2(e20,h(e14)) = h(e12),
    inference(rw,[status(thm)],[c_0_170,c_0_168]) ).

cnf(c_0_175,negated_conjecture,
    op2(h(e13),e20) = h(e12),
    inference(rw,[status(thm)],[c_0_171,c_0_168]) ).

cnf(c_0_176,negated_conjecture,
    ( h(e13) = e23
    | j(e21) = e14
    | j(e23) = e14
    | j(e22) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_64]) ).

cnf(c_0_177,negated_conjecture,
    ( h(e12) = e21
    | j(e21) = e14
    | j(e23) = e14
    | j(e22) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_173]),c_0_92]) ).

cnf(c_0_178,negated_conjecture,
    ( h(e12) = e24
    | j(e22) = e14
    | j(e23) = e14
    | j(e21) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_70]) ).

cnf(c_0_179,plain,
    e21 != e24,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_180,negated_conjecture,
    op1(j(e23),e10) = j(e24),
    inference(rw,[status(thm)],[c_0_74,c_0_162]) ).

cnf(c_0_181,negated_conjecture,
    ( j(e22) = e14
    | j(e23) = e14
    | j(e21) = e14 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).

cnf(c_0_182,negated_conjecture,
    op1(j(e24),e10) = j(e23),
    inference(rw,[status(thm)],[c_0_71,c_0_162]) ).

cnf(c_0_183,negated_conjecture,
    ( j(e24) = e13
    | j(e21) = e14
    | j(e22) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_55]) ).

cnf(c_0_184,negated_conjecture,
    op1(e10,j(e23)) = j(e22),
    inference(rw,[status(thm)],[c_0_43,c_0_162]) ).

cnf(c_0_185,negated_conjecture,
    ( j(e23) = e12
    | j(e22) = e14
    | j(e21) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_87]) ).

cnf(c_0_186,negated_conjecture,
    op1(e10,j(e22)) = j(e24),
    inference(rw,[status(thm)],[c_0_84,c_0_162]) ).

cnf(c_0_187,negated_conjecture,
    ( j(e22) = e14
    | j(e21) = e14 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_108])]) ).

cnf(c_0_188,negated_conjecture,
    op1(e10,j(e24)) = j(e21),
    inference(rw,[status(thm)],[c_0_96,c_0_162]) ).

cnf(c_0_189,negated_conjecture,
    ( j(e24) = e12
    | j(e21) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_58]) ).

cnf(c_0_190,negated_conjecture,
    op1(e10,j(e21)) = j(e23),
    inference(rw,[status(thm)],[c_0_41,c_0_162]) ).

cnf(c_0_191,negated_conjecture,
    j(e21) = e14,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_108])]) ).

cnf(c_0_192,negated_conjecture,
    op1(j(e21),e10) = j(e22),
    inference(rw,[status(thm)],[c_0_24,c_0_162]) ).

cnf(c_0_193,negated_conjecture,
    j(e23) = e12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191]),c_0_58]) ).

cnf(c_0_194,negated_conjecture,
    j(e22) = e13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_191]),c_0_55]) ).

cnf(c_0_195,plain,
    e13 != e14,
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_196,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_193]),c_0_108]),c_0_194]),c_0_195]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG185+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n019.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 13:01:05 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.52  % Version: 3.5.1
% 0.62/0.52  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.62/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.52  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.62/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.62/0.52  % Starting new_bool_1 with 300s (1) cores
% 0.62/0.52  % Starting sh5l with 300s (1) cores
% 0.62/0.52  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2629678 completed with status 0
% 0.62/0.52  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.62/0.52  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.62/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.52  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.62/0.52  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.62/0.52  % No SInE strategy applied
% 0.62/0.52  % Search class: FGUSF-FFMM21-SFFFFFNN
% 0.62/0.52  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.62/0.52  % Starting SubtermCWHack with 136s (1) cores
% 0.62/0.52  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.62/0.52  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.62/0.52  % Starting new_bool_3 with 136s (1) cores
% 0.62/0.52  % Starting new_bool_1 with 136s (1) cores
% 0.62/0.52  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2629685 completed with status 0
% 0.62/0.52  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.62/0.52  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.62/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.52  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.62/0.52  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.62/0.52  % No SInE strategy applied
% 0.62/0.52  % Search class: FGUSF-FFMM21-SFFFFFNN
% 0.62/0.52  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.62/0.52  % Starting SubtermCWHack with 136s (1) cores
% 0.62/0.52  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.62/0.52  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.62/0.52  % Preprocessing time       : 0.001 s
% 0.62/0.52  % Presaturation interreduction done
% 0.62/0.52  
% 0.62/0.52  % Proof found!
% 0.62/0.52  % SZS status Theorem
% 0.62/0.52  % SZS output start CNFRefutation
% See solution above
% 0.62/0.52  % Parsed axioms                        : 6
% 0.62/0.52  % Removed by relevancy pruning/SinE    : 0
% 0.62/0.52  % Initial clauses                      : 166
% 0.62/0.52  % Removed in clause preprocessing      : 0
% 0.62/0.52  % Initial clauses in saturation        : 166
% 0.62/0.52  % Processed clauses                    : 1081
% 0.62/0.52  % ...of these trivial                  : 1
% 0.62/0.52  % ...subsumed                          : 266
% 0.62/0.52  % ...remaining for further processing  : 813
% 0.62/0.52  % Other redundant clauses eliminated   : 0
% 0.62/0.52  % Clauses deleted for lack of memory   : 0
% 0.62/0.52  % Backward-subsumed                    : 199
% 0.62/0.52  % Backward-rewritten                   : 310
% 0.62/0.52  % Generated clauses                    : 7847
% 0.62/0.52  % ...of the previous two non-redundant : 7804
% 0.62/0.52  % ...aggressively subsumed             : 0
% 0.62/0.52  % Contextual simplify-reflections      : 0
% 0.62/0.52  % Paramodulations                      : 7691
% 0.62/0.52  % Factorizations                       : 156
% 0.62/0.52  % NegExts                              : 0
% 0.62/0.52  % Equation resolutions                 : 0
% 0.62/0.52  % Disequality decompositions           : 0
% 0.62/0.52  % Total rewrite steps                  : 4923
% 0.62/0.52  % ...of those cached                   : 4858
% 0.62/0.52  % Propositional unsat checks           : 0
% 0.62/0.52  %    Propositional check models        : 0
% 0.62/0.52  %    Propositional check unsatisfiable : 0
% 0.62/0.52  %    Propositional clauses             : 0
% 0.62/0.52  %    Propositional clauses after purity: 0
% 0.62/0.52  %    Propositional unsat core size     : 0
% 0.62/0.52  %    Propositional preprocessing time  : 0.000
% 0.62/0.52  %    Propositional encoding time       : 0.000
% 0.62/0.52  %    Propositional solver time         : 0.000
% 0.62/0.52  %    Success case prop preproc time    : 0.000
% 0.62/0.52  %    Success case prop encoding time   : 0.000
% 0.62/0.52  %    Success case prop solver time     : 0.000
% 0.62/0.52  % Current number of processed clauses  : 138
% 0.62/0.52  %    Positive orientable unit clauses  : 73
% 0.62/0.52  %    Positive unorientable unit clauses: 0
% 0.62/0.52  %    Negative unit clauses             : 45
% 0.62/0.52  %    Non-unit-clauses                  : 20
% 0.62/0.52  % Current number of unprocessed clauses: 6654
% 0.62/0.52  % ...number of literals in the above   : 52832
% 0.62/0.52  % Current number of archived formulas  : 0
% 0.62/0.52  % Current number of archived clauses   : 675
% 0.62/0.52  % Clause-clause subsumption calls (NU) : 653
% 0.62/0.52  % Rec. Clause-clause subsumption calls : 330
% 0.62/0.52  % Non-unit clause-clause subsumptions  : 322
% 0.62/0.52  % Unit Clause-clause subsumption calls : 2351
% 0.62/0.52  % Rewrite failures with RHS unbound    : 0
% 0.62/0.52  % BW rewrite match attempts            : 6
% 0.62/0.52  % BW rewrite match successes           : 6
% 0.62/0.52  % Condensation attempts                : 0
% 0.62/0.52  % Condensation successes               : 0
% 0.62/0.52  % Termbank termtop insertions          : 120161
% 0.62/0.52  % Search garbage collected termcells   : 632
% 0.62/0.52  
% 0.62/0.52  % -------------------------------------------------
% 0.62/0.52  % User time                : 0.075 s
% 0.62/0.52  % System time              : 0.007 s
% 0.62/0.52  % Total time               : 0.083 s
% 0.62/0.52  % Maximum resident set size: 3696 pages
% 0.62/0.52  
% 0.62/0.52  % -------------------------------------------------
% 0.62/0.52  % User time                : 0.334 s
% 0.62/0.52  % System time              : 0.041 s
% 0.62/0.52  % Total time               : 0.375 s
% 0.62/0.52  % Maximum resident set size: 4608 pages
% 0.62/0.52  % E exiting
%------------------------------------------------------------------------------