TSTP Solution File: ALG080+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ALG080+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:10:44 EDT 2024

% Result   : Theorem 0.22s 0.54s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  117 (  69 unt;   0 def)
%            Number of atoms       :  705 ( 684 equ)
%            Maximal formula atoms :  110 (   6 avg)
%            Number of connectives :  681 (  93   ~; 268   |; 316   &)
%                                         (   1 <=>;   3  =>;   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,
    ( ( ( 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/sandbox2/tmp/tmp.yTQC8nDUZz/E---3.1_306.p',co1) ).

fof(ax2,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e20 != e24
    & e21 != e22
    & e21 != e23
    & e21 != e24
    & e22 != e23
    & e22 != e24
    & e23 != e24 ),
    file('/export/starexec/sandbox2/tmp/tmp.yTQC8nDUZz/E---3.1_306.p',ax2) ).

fof(ax4,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) = e14
    & op1(e11,e13) = e12
    & op1(e11,e14) = e13
    & op1(e12,e10) = e12
    & op1(e12,e11) = e14
    & op1(e12,e12) = e13
    & op1(e12,e13) = e10
    & op1(e12,e14) = e11
    & op1(e13,e10) = e13
    & op1(e13,e11) = e12
    & op1(e13,e12) = e11
    & op1(e13,e13) = e14
    & op1(e13,e14) = e10
    & op1(e14,e10) = e14
    & op1(e14,e11) = e13
    & op1(e14,e12) = e10
    & op1(e14,e13) = e11
    & op1(e14,e14) = e12 ),
    file('/export/starexec/sandbox2/tmp/tmp.yTQC8nDUZz/E---3.1_306.p',ax4) ).

fof(ax5,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/sandbox2/tmp/tmp.yTQC8nDUZz/E---3.1_306.p',ax5) ).

fof(ax1,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e10 != e14
    & e11 != e12
    & e11 != e13
    & e11 != e14
    & e12 != e13
    & e12 != e14
    & e13 != e14 ),
    file('/export/starexec/sandbox2/tmp/tmp.yTQC8nDUZz/E---3.1_306.p',ax1) ).

fof(c_0_5,plain,
    ( epred1_0
  <=> ( ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_6,negated_conjecture,
    ~ ( epred1_0
     => ~ ( 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(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_5]) ).

fof(c_0_7,plain,
    ( epred1_0
   => ( ( 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(split_equiv,[status(thm)],[c_0_5]) ).

fof(c_0_8,negated_conjecture,
    ( epred1_0
    & 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(fof_nnf,[status(thm)],[c_0_6]) ).

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

fof(c_0_10,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e20 != e24
    & e21 != e22
    & e21 != e23
    & e21 != e24
    & e22 != e23
    & e22 != e24
    & e23 != e24 ),
    inference(fof_simplification,[status(thm)],[ax2]) ).

cnf(c_0_11,negated_conjecture,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    op1(e10,e10) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_13,plain,
    ( h(e10) = e20
    | h(e10) = e21
    | h(e10) = e22
    | h(e10) = e23
    | h(e10) = e24
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_15,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e20 != e24
    & e21 != e22
    & e21 != e23
    & e21 != e24
    & e22 != e23
    & e22 != e24
    & e23 != e24 ),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    op2(h(e10),h(e10)) = h(e10),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,plain,
    ( h(e10) = e24
    | h(e10) = e23
    | h(e10) = e22
    | h(e10) = e21
    | h(e10) = e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_18,plain,
    op2(e24,e24) = e20,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_19,plain,
    e20 != e24,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( h(e10) = e23
    | h(e10) = e22
    | h(e10) = e21
    | h(e10) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).

cnf(c_0_21,plain,
    op2(e23,e23) = e21,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_22,plain,
    e21 != e23,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( h(e10) = e20
    | h(e10) = e21
    | h(e10) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_24,plain,
    op2(e22,e22) = e23,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_25,plain,
    e22 != e23,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,negated_conjecture,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,plain,
    op1(e11,e11) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_28,negated_conjecture,
    ( h(e10) = e21
    | h(e10) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_29,plain,
    op2(e21,e21) = e22,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_30,plain,
    e21 != e22,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_31,plain,
    ( h(e11) = e20
    | h(e11) = e21
    | h(e11) = e22
    | h(e11) = e23
    | h(e11) = e24
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_32,negated_conjecture,
    op2(h(e11),h(e11)) = h(e10),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    h(e10) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_28]),c_0_29]),c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    j(h(e11)) = e11,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_35,plain,
    ( h(e11) = e24
    | h(e11) = e23
    | h(e11) = e22
    | h(e11) = e21
    | h(e11) = e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_14])]) ).

cnf(c_0_36,negated_conjecture,
    op2(h(e11),h(e11)) = e20,
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ( h(e11) = e23
    | h(e11) = e22
    | h(e11) = e21
    | h(e11) = e20
    | j(e24) = e11 ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    e20 != e21,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_39,negated_conjecture,
    ( j(e24) = e11
    | h(e11) = e20
    | h(e11) = e21
    | h(e11) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21]),c_0_38]) ).

cnf(c_0_40,plain,
    e20 != e23,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_41,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e10 != e14
    & e11 != e12
    & e11 != e13
    & e11 != e14
    & e12 != e13
    & e12 != e14
    & e13 != e14 ),
    inference(fof_simplification,[status(thm)],[ax1]) ).

cnf(c_0_42,negated_conjecture,
    ( h(e11) = e21
    | h(e11) = e20
    | j(e24) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_39]),c_0_24]),c_0_40]) ).

cnf(c_0_43,plain,
    e20 != e22,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_44,negated_conjecture,
    j(h(e10)) = e10,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_45,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e10 != e14
    & e11 != e12
    & e11 != e13
    & e11 != e14
    & e12 != e13
    & e12 != e14
    & e13 != e14 ),
    inference(fof_nnf,[status(thm)],[c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_47,plain,
    ( h(e12) = e20
    | h(e12) = e21
    | h(e12) = e22
    | h(e12) = e23
    | h(e12) = e24
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_48,negated_conjecture,
    ( j(e24) = e11
    | h(e11) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_42]),c_0_29]),c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    j(e20) = e10,
    inference(rw,[status(thm)],[c_0_44,c_0_33]) ).

cnf(c_0_50,plain,
    e10 != e11,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    op1(j(e24),j(e24)) = j(e20),
    inference(rw,[status(thm)],[c_0_46,c_0_18]) ).

cnf(c_0_52,plain,
    ( j(e24) = e10
    | j(e24) = e11
    | j(e24) = e12
    | j(e24) = e13
    | j(e24) = e14
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_53,negated_conjecture,
    j(h(e12)) = e12,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_54,plain,
    ( h(e12) = e24
    | h(e12) = e23
    | h(e12) = e22
    | h(e12) = e21
    | h(e12) = e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_14])]) ).

cnf(c_0_55,negated_conjecture,
    j(e24) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_48]),c_0_49]),c_0_50]) ).

cnf(c_0_56,plain,
    e11 != e12,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_57,negated_conjecture,
    op1(j(e24),j(e24)) = e10,
    inference(rw,[status(thm)],[c_0_51,c_0_49]) ).

cnf(c_0_58,plain,
    ( j(e24) = e14
    | j(e24) = e13
    | j(e24) = e12
    | j(e24) = e11
    | j(e24) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_14])]) ).

cnf(c_0_59,plain,
    op1(e14,e14) = e12,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_60,plain,
    e10 != e12,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_61,negated_conjecture,
    ( h(e12) = e23
    | h(e12) = e22
    | h(e12) = e21
    | h(e12) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).

cnf(c_0_62,negated_conjecture,
    ( j(e24) = e13
    | j(e24) = e12
    | j(e24) = e11
    | j(e24) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]) ).

cnf(c_0_63,plain,
    op1(e13,e13) = e14,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_64,plain,
    e10 != e14,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_65,negated_conjecture,
    ( h(e12) = e20
    | h(e12) = e21
    | h(e12) = e22
    | j(e23) = e12 ),
    inference(spm,[status(thm)],[c_0_53,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    j(op2(e24,e23)) = op1(j(e24),j(e23)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_67,plain,
    op2(e24,e23) = e22,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_68,negated_conjecture,
    ( j(e24) = e10
    | j(e24) = e11
    | j(e24) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_62]),c_0_63]),c_0_64]) ).

cnf(c_0_69,plain,
    op1(e12,e12) = e13,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_70,plain,
    e10 != e13,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_71,negated_conjecture,
    j(op2(e23,e22)) = op1(j(e23),j(e22)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_72,plain,
    op2(e23,e22) = e20,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_73,negated_conjecture,
    ( j(e23) = e12
    | h(e12) = e21
    | h(e12) = e20
    | j(e22) = e12 ),
    inference(spm,[status(thm)],[c_0_53,c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    op1(j(e24),j(e23)) = j(e22),
    inference(rw,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    ( j(e24) = e11
    | j(e24) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_68]),c_0_69]),c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    j(op2(e22,e21)) = op1(j(e22),j(e21)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_77,plain,
    op2(e22,e21) = e20,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_78,negated_conjecture,
    j(op2(e24,e22)) = op1(j(e24),j(e22)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_79,plain,
    op2(e24,e22) = e21,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_80,negated_conjecture,
    op1(j(e23),j(e22)) = j(e20),
    inference(rw,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_81,negated_conjecture,
    ( j(e22) = e12
    | h(e12) = e20
    | j(e23) = e12
    | j(e21) = e12 ),
    inference(spm,[status(thm)],[c_0_53,c_0_73]) ).

cnf(c_0_82,negated_conjecture,
    ( op1(e11,j(e23)) = j(e22)
    | j(e24) = e10 ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_83,negated_conjecture,
    op1(j(e22),j(e21)) = j(e20),
    inference(rw,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_84,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13
    | j(e21) = e14
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_85,negated_conjecture,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_86,negated_conjecture,
    op1(j(e24),j(e22)) = j(e21),
    inference(rw,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_87,negated_conjecture,
    op1(j(e23),j(e22)) = e10,
    inference(rw,[status(thm)],[c_0_80,c_0_49]) ).

cnf(c_0_88,negated_conjecture,
    ( j(e21) = e12
    | j(e23) = e12
    | j(e22) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_81]),c_0_49]),c_0_60]) ).

cnf(c_0_89,negated_conjecture,
    op1(e11,j(e23)) = j(e22),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_55]),c_0_50]) ).

cnf(c_0_90,plain,
    op1(e11,e12) = e14,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_91,negated_conjecture,
    op1(j(e22),j(e21)) = e10,
    inference(rw,[status(thm)],[c_0_83,c_0_49]) ).

cnf(c_0_92,plain,
    ( j(e21) = e14
    | j(e21) = e13
    | j(e21) = e12
    | j(e21) = e11
    | j(e21) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_14])]) ).

cnf(c_0_93,negated_conjecture,
    op1(j(e23),j(e23)) = j(e21),
    inference(rw,[status(thm)],[c_0_85,c_0_21]) ).

cnf(c_0_94,negated_conjecture,
    ( op1(e11,j(e22)) = j(e21)
    | j(e24) = e10 ),
    inference(spm,[status(thm)],[c_0_86,c_0_75]) ).

cnf(c_0_95,negated_conjecture,
    ( op1(e12,j(e22)) = e10
    | j(e22) = e12
    | j(e21) = e12 ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_96,negated_conjecture,
    ( j(e22) = e12
    | j(e21) = e12
    | j(e22) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_88]),c_0_90]) ).

cnf(c_0_97,plain,
    op1(e12,e14) = e11,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_98,plain,
    e12 != e14,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_99,negated_conjecture,
    ( op1(j(e22),e14) = e10
    | j(e21) = e13
    | j(e21) = e12
    | j(e21) = e11
    | j(e21) = e10 ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_100,negated_conjecture,
    ( j(e22) = e12
    | j(e21) = e12
    | j(e21) = e13 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_88]),c_0_69]) ).

cnf(c_0_101,negated_conjecture,
    op1(e11,j(e22)) = j(e21),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_55]),c_0_50]) ).

cnf(c_0_102,negated_conjecture,
    ( j(e22) = e12
    | j(e21) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_50]),c_0_98]) ).

cnf(c_0_103,negated_conjecture,
    j(op2(e21,e22)) = op1(j(e21),j(e22)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_104,plain,
    op2(e21,e22) = e24,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_105,negated_conjecture,
    j(op2(e21,e21)) = op1(j(e21),j(e21)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_106,negated_conjecture,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_97]),c_0_50]) ).

cnf(c_0_107,negated_conjecture,
    ( j(e21) = e12
    | j(e21) = e14 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_90]) ).

cnf(c_0_108,plain,
    e11 != e14,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_109,plain,
    e13 != e14,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_110,negated_conjecture,
    op1(j(e21),j(e22)) = j(e24),
    inference(rw,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_111,negated_conjecture,
    op1(j(e21),j(e21)) = j(e22),
    inference(rw,[status(thm)],[c_0_105,c_0_29]) ).

cnf(c_0_112,negated_conjecture,
    j(e21) = e12,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_64]),c_0_108]),c_0_98]),c_0_109]) ).

cnf(c_0_113,negated_conjecture,
    op1(j(e21),j(e22)) = e11,
    inference(rw,[status(thm)],[c_0_110,c_0_55]) ).

cnf(c_0_114,negated_conjecture,
    j(e22) = e13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_112]),c_0_69]) ).

cnf(c_0_115,plain,
    op1(e12,e13) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_116,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_112]),c_0_114]),c_0_115]),c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ALG080+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 13:57:31 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.yTQC8nDUZz/E---3.1_306.p
% 0.22/0.54  # Version: 3.1.0
% 0.22/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54  # Starting sh5l with 300s (1) cores
% 0.22/0.54  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 415 completed with status 0
% 0.22/0.54  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.22/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.54  # No SInE strategy applied
% 0.22/0.54  # Search class: FGUSF-FFMM21-SFFFFFNN
% 0.22/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.22/0.54  # Starting new_bool_3 with 136s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 136s (1) cores
% 0.22/0.54  # Starting sh5l with 136s (1) cores
% 0.22/0.54  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 422 completed with status 0
% 0.22/0.54  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.22/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.54  # No SInE strategy applied
% 0.22/0.54  # Search class: FGUSF-FFMM21-SFFFFFNN
% 0.22/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.22/0.54  # Preprocessing time       : 0.002 s
% 0.22/0.54  # Presaturation interreduction done
% 0.22/0.54  
% 0.22/0.54  # Proof found!
% 0.22/0.54  # SZS status Theorem
% 0.22/0.54  # SZS output start CNFRefutation
% See solution above
% 0.22/0.55  # Parsed axioms                        : 6
% 0.22/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.55  # Initial clauses                      : 166
% 0.22/0.55  # Removed in clause preprocessing      : 0
% 0.22/0.55  # Initial clauses in saturation        : 166
% 0.22/0.55  # Processed clauses                    : 648
% 0.22/0.55  # ...of these trivial                  : 28
% 0.22/0.55  # ...subsumed                          : 144
% 0.22/0.55  # ...remaining for further processing  : 475
% 0.22/0.55  # Other redundant clauses eliminated   : 0
% 0.22/0.55  # Clauses deleted for lack of memory   : 0
% 0.22/0.55  # Backward-subsumed                    : 29
% 0.22/0.55  # Backward-rewritten                   : 174
% 0.22/0.55  # Generated clauses                    : 1143
% 0.22/0.55  # ...of the previous two non-redundant : 1098
% 0.22/0.55  # ...aggressively subsumed             : 0
% 0.22/0.55  # Contextual simplify-reflections      : 0
% 0.22/0.55  # Paramodulations                      : 1037
% 0.22/0.55  # Factorizations                       : 106
% 0.22/0.55  # NegExts                              : 0
% 0.22/0.55  # Equation resolutions                 : 0
% 0.22/0.55  # Disequality decompositions           : 0
% 0.22/0.55  # Total rewrite steps                  : 819
% 0.22/0.55  # ...of those cached                   : 740
% 0.22/0.55  # Propositional unsat checks           : 0
% 0.22/0.55  #    Propositional check models        : 0
% 0.22/0.55  #    Propositional check unsatisfiable : 0
% 0.22/0.55  #    Propositional clauses             : 0
% 0.22/0.55  #    Propositional clauses after purity: 0
% 0.22/0.55  #    Propositional unsat core size     : 0
% 0.22/0.55  #    Propositional preprocessing time  : 0.000
% 0.22/0.55  #    Propositional encoding time       : 0.000
% 0.22/0.55  #    Propositional solver time         : 0.000
% 0.22/0.55  #    Success case prop preproc time    : 0.000
% 0.22/0.55  #    Success case prop encoding time   : 0.000
% 0.22/0.55  #    Success case prop solver time     : 0.000
% 0.22/0.55  # Current number of processed clauses  : 106
% 0.22/0.55  #    Positive orientable unit clauses  : 61
% 0.22/0.55  #    Positive unorientable unit clauses: 0
% 0.22/0.55  #    Negative unit clauses             : 45
% 0.22/0.55  #    Non-unit-clauses                  : 0
% 0.22/0.55  # Current number of unprocessed clauses: 590
% 0.22/0.55  # ...number of literals in the above   : 2501
% 0.22/0.55  # Current number of archived formulas  : 0
% 0.22/0.55  # Current number of archived clauses   : 369
% 0.22/0.55  # Clause-clause subsumption calls (NU) : 145
% 0.22/0.55  # Rec. Clause-clause subsumption calls : 114
% 0.22/0.55  # Non-unit clause-clause subsumptions  : 102
% 0.22/0.55  # Unit Clause-clause subsumption calls : 1992
% 0.22/0.55  # Rewrite failures with RHS unbound    : 0
% 0.22/0.55  # BW rewrite match attempts            : 10
% 0.22/0.55  # BW rewrite match successes           : 10
% 0.22/0.55  # Condensation attempts                : 0
% 0.22/0.55  # Condensation successes               : 0
% 0.22/0.55  # Termbank termtop insertions          : 14838
% 0.22/0.55  # Search garbage collected termcells   : 633
% 0.22/0.55  
% 0.22/0.55  # -------------------------------------------------
% 0.22/0.55  # User time                : 0.026 s
% 0.22/0.55  # System time              : 0.006 s
% 0.22/0.55  # Total time               : 0.032 s
% 0.22/0.55  # Maximum resident set size: 1964 pages
% 0.22/0.55  
% 0.22/0.55  # -------------------------------------------------
% 0.22/0.55  # User time                : 0.130 s
% 0.22/0.55  # System time              : 0.018 s
% 0.22/0.55  # Total time               : 0.148 s
% 0.22/0.55  # Maximum resident set size: 1740 pages
% 0.22/0.55  % E---3.1 exiting
% 0.22/0.55  % E exiting
%------------------------------------------------------------------------------