TSTP Solution File: ALG028+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG028+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : Mon May 20 18:06:47 EDT 2024

% Result   : Theorem 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   34 (  27 unt;   0 def)
%            Number of atoms       :  515 ( 508 equ)
%            Maximal formula atoms :  216 (  15 avg)
%            Number of connectives :  567 (  86   ~;  84   |; 397   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  216 (  15 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( op(e0,e0) = op(e0,e0)
      & op(e0,e1) = op(e1,e0)
      & op(e0,e2) = op(e2,e0)
      & op(e0,e3) = op(e3,e0)
      & op(e0,e4) = op(e4,e0)
      & op(e0,e5) = op(e5,e0)
      & op(e1,e0) = op(e0,e1)
      & op(e1,e1) = op(e1,e1)
      & op(e1,e2) = op(e2,e1)
      & op(e1,e3) = op(e3,e1)
      & op(e1,e4) = op(e4,e1)
      & op(e1,e5) = op(e5,e1)
      & op(e2,e0) = op(e0,e2)
      & op(e2,e1) = op(e1,e2)
      & op(e2,e2) = op(e2,e2)
      & op(e2,e3) = op(e3,e2)
      & op(e2,e4) = op(e4,e2)
      & op(e2,e5) = op(e5,e2)
      & op(e3,e0) = op(e0,e3)
      & op(e3,e1) = op(e1,e3)
      & op(e3,e2) = op(e2,e3)
      & op(e3,e3) = op(e3,e3)
      & op(e3,e4) = op(e4,e3)
      & op(e3,e5) = op(e5,e3)
      & op(e4,e0) = op(e0,e4)
      & op(e4,e1) = op(e1,e4)
      & op(e4,e2) = op(e2,e4)
      & op(e4,e3) = op(e3,e4)
      & op(e4,e4) = op(e4,e4)
      & op(e4,e5) = op(e5,e4)
      & op(e5,e0) = op(e0,e5)
      & op(e5,e1) = op(e1,e5)
      & op(e5,e2) = op(e2,e5)
      & op(e5,e3) = op(e3,e5)
      & op(e5,e4) = op(e4,e5)
      & op(e5,e5) = op(e5,e5)
      & ~ ( op(e0,e0) = op(e0,e0)
          & op(e0,e1) = op(e1,e0)
          & op(e0,e2) = op(e2,e0)
          & op(e0,e3) = op(e3,e0)
          & op(e0,e4) = op(e4,e0)
          & op(e0,e5) = op(e5,e0)
          & op(e1,e0) = op(e0,e1)
          & op(e1,e1) = op(e1,e1)
          & op(e1,e2) = op(e2,e1)
          & op(e1,e3) = op(e3,e1)
          & op(e1,e4) = op(e4,e1)
          & op(e1,e5) = op(e5,e1)
          & op(e2,e0) = op(e0,e2)
          & op(e2,e1) = op(e1,e2)
          & op(e2,e2) = op(e2,e2)
          & op(e2,e3) = op(e3,e2)
          & op(e2,e4) = op(e4,e2)
          & op(e2,e5) = op(e5,e2)
          & op(e3,e0) = op(e0,e3)
          & op(e3,e1) = op(e1,e3)
          & op(e3,e2) = op(e2,e3)
          & op(e3,e3) = op(e3,e3)
          & op(e3,e4) = op(e4,e3)
          & op(e3,e5) = op(e5,e3)
          & op(e4,e0) = op(e0,e4)
          & op(e4,e1) = op(e1,e4)
          & op(e4,e2) = op(e2,e4)
          & op(e4,e3) = op(e3,e4)
          & op(e4,e4) = op(e4,e4)
          & op(e4,e5) = op(e5,e4)
          & op(e5,e0) = op(e0,e5)
          & op(e5,e1) = op(e1,e5)
          & op(e5,e2) = op(e2,e5)
          & op(e5,e3) = op(e3,e5)
          & op(e5,e4) = op(e4,e5)
          & op(e5,e5) = op(e5,e5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax11,axiom,
    ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    & e1 = op(op(e4,e4),e4)
    & e2 = op(op(op(e4,e4),e4),e4)
    & e3 = op(e4,e4)
    & e5 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(ax2,axiom,
    ( op(op(e0,e0),e0) = op(e0,op(e0,e0))
    & op(op(e0,e0),e1) = op(e0,op(e0,e1))
    & op(op(e0,e0),e2) = op(e0,op(e0,e2))
    & op(op(e0,e0),e3) = op(e0,op(e0,e3))
    & op(op(e0,e0),e4) = op(e0,op(e0,e4))
    & op(op(e0,e0),e5) = op(e0,op(e0,e5))
    & op(op(e0,e1),e0) = op(e0,op(e1,e0))
    & op(op(e0,e1),e1) = op(e0,op(e1,e1))
    & op(op(e0,e1),e2) = op(e0,op(e1,e2))
    & op(op(e0,e1),e3) = op(e0,op(e1,e3))
    & op(op(e0,e1),e4) = op(e0,op(e1,e4))
    & op(op(e0,e1),e5) = op(e0,op(e1,e5))
    & op(op(e0,e2),e0) = op(e0,op(e2,e0))
    & op(op(e0,e2),e1) = op(e0,op(e2,e1))
    & op(op(e0,e2),e2) = op(e0,op(e2,e2))
    & op(op(e0,e2),e3) = op(e0,op(e2,e3))
    & op(op(e0,e2),e4) = op(e0,op(e2,e4))
    & op(op(e0,e2),e5) = op(e0,op(e2,e5))
    & op(op(e0,e3),e0) = op(e0,op(e3,e0))
    & op(op(e0,e3),e1) = op(e0,op(e3,e1))
    & op(op(e0,e3),e2) = op(e0,op(e3,e2))
    & op(op(e0,e3),e3) = op(e0,op(e3,e3))
    & op(op(e0,e3),e4) = op(e0,op(e3,e4))
    & op(op(e0,e3),e5) = op(e0,op(e3,e5))
    & op(op(e0,e4),e0) = op(e0,op(e4,e0))
    & op(op(e0,e4),e1) = op(e0,op(e4,e1))
    & op(op(e0,e4),e2) = op(e0,op(e4,e2))
    & op(op(e0,e4),e3) = op(e0,op(e4,e3))
    & op(op(e0,e4),e4) = op(e0,op(e4,e4))
    & op(op(e0,e4),e5) = op(e0,op(e4,e5))
    & op(op(e0,e5),e0) = op(e0,op(e5,e0))
    & op(op(e0,e5),e1) = op(e0,op(e5,e1))
    & op(op(e0,e5),e2) = op(e0,op(e5,e2))
    & op(op(e0,e5),e3) = op(e0,op(e5,e3))
    & op(op(e0,e5),e4) = op(e0,op(e5,e4))
    & op(op(e0,e5),e5) = op(e0,op(e5,e5))
    & op(op(e1,e0),e0) = op(e1,op(e0,e0))
    & op(op(e1,e0),e1) = op(e1,op(e0,e1))
    & op(op(e1,e0),e2) = op(e1,op(e0,e2))
    & op(op(e1,e0),e3) = op(e1,op(e0,e3))
    & op(op(e1,e0),e4) = op(e1,op(e0,e4))
    & op(op(e1,e0),e5) = op(e1,op(e0,e5))
    & op(op(e1,e1),e0) = op(e1,op(e1,e0))
    & op(op(e1,e1),e1) = op(e1,op(e1,e1))
    & op(op(e1,e1),e2) = op(e1,op(e1,e2))
    & op(op(e1,e1),e3) = op(e1,op(e1,e3))
    & op(op(e1,e1),e4) = op(e1,op(e1,e4))
    & op(op(e1,e1),e5) = op(e1,op(e1,e5))
    & op(op(e1,e2),e0) = op(e1,op(e2,e0))
    & op(op(e1,e2),e1) = op(e1,op(e2,e1))
    & op(op(e1,e2),e2) = op(e1,op(e2,e2))
    & op(op(e1,e2),e3) = op(e1,op(e2,e3))
    & op(op(e1,e2),e4) = op(e1,op(e2,e4))
    & op(op(e1,e2),e5) = op(e1,op(e2,e5))
    & op(op(e1,e3),e0) = op(e1,op(e3,e0))
    & op(op(e1,e3),e1) = op(e1,op(e3,e1))
    & op(op(e1,e3),e2) = op(e1,op(e3,e2))
    & op(op(e1,e3),e3) = op(e1,op(e3,e3))
    & op(op(e1,e3),e4) = op(e1,op(e3,e4))
    & op(op(e1,e3),e5) = op(e1,op(e3,e5))
    & op(op(e1,e4),e0) = op(e1,op(e4,e0))
    & op(op(e1,e4),e1) = op(e1,op(e4,e1))
    & op(op(e1,e4),e2) = op(e1,op(e4,e2))
    & op(op(e1,e4),e3) = op(e1,op(e4,e3))
    & op(op(e1,e4),e4) = op(e1,op(e4,e4))
    & op(op(e1,e4),e5) = op(e1,op(e4,e5))
    & op(op(e1,e5),e0) = op(e1,op(e5,e0))
    & op(op(e1,e5),e1) = op(e1,op(e5,e1))
    & op(op(e1,e5),e2) = op(e1,op(e5,e2))
    & op(op(e1,e5),e3) = op(e1,op(e5,e3))
    & op(op(e1,e5),e4) = op(e1,op(e5,e4))
    & op(op(e1,e5),e5) = op(e1,op(e5,e5))
    & op(op(e2,e0),e0) = op(e2,op(e0,e0))
    & op(op(e2,e0),e1) = op(e2,op(e0,e1))
    & op(op(e2,e0),e2) = op(e2,op(e0,e2))
    & op(op(e2,e0),e3) = op(e2,op(e0,e3))
    & op(op(e2,e0),e4) = op(e2,op(e0,e4))
    & op(op(e2,e0),e5) = op(e2,op(e0,e5))
    & op(op(e2,e1),e0) = op(e2,op(e1,e0))
    & op(op(e2,e1),e1) = op(e2,op(e1,e1))
    & op(op(e2,e1),e2) = op(e2,op(e1,e2))
    & op(op(e2,e1),e3) = op(e2,op(e1,e3))
    & op(op(e2,e1),e4) = op(e2,op(e1,e4))
    & op(op(e2,e1),e5) = op(e2,op(e1,e5))
    & op(op(e2,e2),e0) = op(e2,op(e2,e0))
    & op(op(e2,e2),e1) = op(e2,op(e2,e1))
    & op(op(e2,e2),e2) = op(e2,op(e2,e2))
    & op(op(e2,e2),e3) = op(e2,op(e2,e3))
    & op(op(e2,e2),e4) = op(e2,op(e2,e4))
    & op(op(e2,e2),e5) = op(e2,op(e2,e5))
    & op(op(e2,e3),e0) = op(e2,op(e3,e0))
    & op(op(e2,e3),e1) = op(e2,op(e3,e1))
    & op(op(e2,e3),e2) = op(e2,op(e3,e2))
    & op(op(e2,e3),e3) = op(e2,op(e3,e3))
    & op(op(e2,e3),e4) = op(e2,op(e3,e4))
    & op(op(e2,e3),e5) = op(e2,op(e3,e5))
    & op(op(e2,e4),e0) = op(e2,op(e4,e0))
    & op(op(e2,e4),e1) = op(e2,op(e4,e1))
    & op(op(e2,e4),e2) = op(e2,op(e4,e2))
    & op(op(e2,e4),e3) = op(e2,op(e4,e3))
    & op(op(e2,e4),e4) = op(e2,op(e4,e4))
    & op(op(e2,e4),e5) = op(e2,op(e4,e5))
    & op(op(e2,e5),e0) = op(e2,op(e5,e0))
    & op(op(e2,e5),e1) = op(e2,op(e5,e1))
    & op(op(e2,e5),e2) = op(e2,op(e5,e2))
    & op(op(e2,e5),e3) = op(e2,op(e5,e3))
    & op(op(e2,e5),e4) = op(e2,op(e5,e4))
    & op(op(e2,e5),e5) = op(e2,op(e5,e5))
    & op(op(e3,e0),e0) = op(e3,op(e0,e0))
    & op(op(e3,e0),e1) = op(e3,op(e0,e1))
    & op(op(e3,e0),e2) = op(e3,op(e0,e2))
    & op(op(e3,e0),e3) = op(e3,op(e0,e3))
    & op(op(e3,e0),e4) = op(e3,op(e0,e4))
    & op(op(e3,e0),e5) = op(e3,op(e0,e5))
    & op(op(e3,e1),e0) = op(e3,op(e1,e0))
    & op(op(e3,e1),e1) = op(e3,op(e1,e1))
    & op(op(e3,e1),e2) = op(e3,op(e1,e2))
    & op(op(e3,e1),e3) = op(e3,op(e1,e3))
    & op(op(e3,e1),e4) = op(e3,op(e1,e4))
    & op(op(e3,e1),e5) = op(e3,op(e1,e5))
    & op(op(e3,e2),e0) = op(e3,op(e2,e0))
    & op(op(e3,e2),e1) = op(e3,op(e2,e1))
    & op(op(e3,e2),e2) = op(e3,op(e2,e2))
    & op(op(e3,e2),e3) = op(e3,op(e2,e3))
    & op(op(e3,e2),e4) = op(e3,op(e2,e4))
    & op(op(e3,e2),e5) = op(e3,op(e2,e5))
    & op(op(e3,e3),e0) = op(e3,op(e3,e0))
    & op(op(e3,e3),e1) = op(e3,op(e3,e1))
    & op(op(e3,e3),e2) = op(e3,op(e3,e2))
    & op(op(e3,e3),e3) = op(e3,op(e3,e3))
    & op(op(e3,e3),e4) = op(e3,op(e3,e4))
    & op(op(e3,e3),e5) = op(e3,op(e3,e5))
    & op(op(e3,e4),e0) = op(e3,op(e4,e0))
    & op(op(e3,e4),e1) = op(e3,op(e4,e1))
    & op(op(e3,e4),e2) = op(e3,op(e4,e2))
    & op(op(e3,e4),e3) = op(e3,op(e4,e3))
    & op(op(e3,e4),e4) = op(e3,op(e4,e4))
    & op(op(e3,e4),e5) = op(e3,op(e4,e5))
    & op(op(e3,e5),e0) = op(e3,op(e5,e0))
    & op(op(e3,e5),e1) = op(e3,op(e5,e1))
    & op(op(e3,e5),e2) = op(e3,op(e5,e2))
    & op(op(e3,e5),e3) = op(e3,op(e5,e3))
    & op(op(e3,e5),e4) = op(e3,op(e5,e4))
    & op(op(e3,e5),e5) = op(e3,op(e5,e5))
    & op(op(e4,e0),e0) = op(e4,op(e0,e0))
    & op(op(e4,e0),e1) = op(e4,op(e0,e1))
    & op(op(e4,e0),e2) = op(e4,op(e0,e2))
    & op(op(e4,e0),e3) = op(e4,op(e0,e3))
    & op(op(e4,e0),e4) = op(e4,op(e0,e4))
    & op(op(e4,e0),e5) = op(e4,op(e0,e5))
    & op(op(e4,e1),e0) = op(e4,op(e1,e0))
    & op(op(e4,e1),e1) = op(e4,op(e1,e1))
    & op(op(e4,e1),e2) = op(e4,op(e1,e2))
    & op(op(e4,e1),e3) = op(e4,op(e1,e3))
    & op(op(e4,e1),e4) = op(e4,op(e1,e4))
    & op(op(e4,e1),e5) = op(e4,op(e1,e5))
    & op(op(e4,e2),e0) = op(e4,op(e2,e0))
    & op(op(e4,e2),e1) = op(e4,op(e2,e1))
    & op(op(e4,e2),e2) = op(e4,op(e2,e2))
    & op(op(e4,e2),e3) = op(e4,op(e2,e3))
    & op(op(e4,e2),e4) = op(e4,op(e2,e4))
    & op(op(e4,e2),e5) = op(e4,op(e2,e5))
    & op(op(e4,e3),e0) = op(e4,op(e3,e0))
    & op(op(e4,e3),e1) = op(e4,op(e3,e1))
    & op(op(e4,e3),e2) = op(e4,op(e3,e2))
    & op(op(e4,e3),e3) = op(e4,op(e3,e3))
    & op(op(e4,e3),e4) = op(e4,op(e3,e4))
    & op(op(e4,e3),e5) = op(e4,op(e3,e5))
    & op(op(e4,e4),e0) = op(e4,op(e4,e0))
    & op(op(e4,e4),e1) = op(e4,op(e4,e1))
    & op(op(e4,e4),e2) = op(e4,op(e4,e2))
    & op(op(e4,e4),e3) = op(e4,op(e4,e3))
    & op(op(e4,e4),e4) = op(e4,op(e4,e4))
    & op(op(e4,e4),e5) = op(e4,op(e4,e5))
    & op(op(e4,e5),e0) = op(e4,op(e5,e0))
    & op(op(e4,e5),e1) = op(e4,op(e5,e1))
    & op(op(e4,e5),e2) = op(e4,op(e5,e2))
    & op(op(e4,e5),e3) = op(e4,op(e5,e3))
    & op(op(e4,e5),e4) = op(e4,op(e5,e4))
    & op(op(e4,e5),e5) = op(e4,op(e5,e5))
    & op(op(e5,e0),e0) = op(e5,op(e0,e0))
    & op(op(e5,e0),e1) = op(e5,op(e0,e1))
    & op(op(e5,e0),e2) = op(e5,op(e0,e2))
    & op(op(e5,e0),e3) = op(e5,op(e0,e3))
    & op(op(e5,e0),e4) = op(e5,op(e0,e4))
    & op(op(e5,e0),e5) = op(e5,op(e0,e5))
    & op(op(e5,e1),e0) = op(e5,op(e1,e0))
    & op(op(e5,e1),e1) = op(e5,op(e1,e1))
    & op(op(e5,e1),e2) = op(e5,op(e1,e2))
    & op(op(e5,e1),e3) = op(e5,op(e1,e3))
    & op(op(e5,e1),e4) = op(e5,op(e1,e4))
    & op(op(e5,e1),e5) = op(e5,op(e1,e5))
    & op(op(e5,e2),e0) = op(e5,op(e2,e0))
    & op(op(e5,e2),e1) = op(e5,op(e2,e1))
    & op(op(e5,e2),e2) = op(e5,op(e2,e2))
    & op(op(e5,e2),e3) = op(e5,op(e2,e3))
    & op(op(e5,e2),e4) = op(e5,op(e2,e4))
    & op(op(e5,e2),e5) = op(e5,op(e2,e5))
    & op(op(e5,e3),e0) = op(e5,op(e3,e0))
    & op(op(e5,e3),e1) = op(e5,op(e3,e1))
    & op(op(e5,e3),e2) = op(e5,op(e3,e2))
    & op(op(e5,e3),e3) = op(e5,op(e3,e3))
    & op(op(e5,e3),e4) = op(e5,op(e3,e4))
    & op(op(e5,e3),e5) = op(e5,op(e3,e5))
    & op(op(e5,e4),e0) = op(e5,op(e4,e0))
    & op(op(e5,e4),e1) = op(e5,op(e4,e1))
    & op(op(e5,e4),e2) = op(e5,op(e4,e2))
    & op(op(e5,e4),e3) = op(e5,op(e4,e3))
    & op(op(e5,e4),e4) = op(e5,op(e4,e4))
    & op(op(e5,e4),e5) = op(e5,op(e4,e5))
    & op(op(e5,e5),e0) = op(e5,op(e5,e0))
    & op(op(e5,e5),e1) = op(e5,op(e5,e1))
    & op(op(e5,e5),e2) = op(e5,op(e5,e2))
    & op(op(e5,e5),e3) = op(e5,op(e5,e3))
    & op(op(e5,e5),e4) = op(e5,op(e5,e4))
    & op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ( op(e0,e0) = op(e0,e0)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e2) = op(e2,e0)
        & op(e0,e3) = op(e3,e0)
        & op(e0,e4) = op(e4,e0)
        & op(e0,e5) = op(e5,e0)
        & op(e1,e0) = op(e0,e1)
        & op(e1,e1) = op(e1,e1)
        & op(e1,e2) = op(e2,e1)
        & op(e1,e3) = op(e3,e1)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e5) = op(e5,e1)
        & op(e2,e0) = op(e0,e2)
        & op(e2,e1) = op(e1,e2)
        & op(e2,e2) = op(e2,e2)
        & op(e2,e3) = op(e3,e2)
        & op(e2,e4) = op(e4,e2)
        & op(e2,e5) = op(e5,e2)
        & op(e3,e0) = op(e0,e3)
        & op(e3,e1) = op(e1,e3)
        & op(e3,e2) = op(e2,e3)
        & op(e3,e3) = op(e3,e3)
        & op(e3,e4) = op(e4,e3)
        & op(e3,e5) = op(e5,e3)
        & op(e4,e0) = op(e0,e4)
        & op(e4,e1) = op(e1,e4)
        & op(e4,e2) = op(e2,e4)
        & op(e4,e3) = op(e3,e4)
        & op(e4,e4) = op(e4,e4)
        & op(e4,e5) = op(e5,e4)
        & op(e5,e0) = op(e0,e5)
        & op(e5,e1) = op(e1,e5)
        & op(e5,e2) = op(e2,e5)
        & op(e5,e3) = op(e3,e5)
        & op(e5,e4) = op(e4,e5)
        & op(e5,e5) = op(e5,e5)
        & ~ ( op(e0,e0) = op(e0,e0)
            & op(e0,e1) = op(e1,e0)
            & op(e0,e2) = op(e2,e0)
            & op(e0,e3) = op(e3,e0)
            & op(e0,e4) = op(e4,e0)
            & op(e0,e5) = op(e5,e0)
            & op(e1,e0) = op(e0,e1)
            & op(e1,e1) = op(e1,e1)
            & op(e1,e2) = op(e2,e1)
            & op(e1,e3) = op(e3,e1)
            & op(e1,e4) = op(e4,e1)
            & op(e1,e5) = op(e5,e1)
            & op(e2,e0) = op(e0,e2)
            & op(e2,e1) = op(e1,e2)
            & op(e2,e2) = op(e2,e2)
            & op(e2,e3) = op(e3,e2)
            & op(e2,e4) = op(e4,e2)
            & op(e2,e5) = op(e5,e2)
            & op(e3,e0) = op(e0,e3)
            & op(e3,e1) = op(e1,e3)
            & op(e3,e2) = op(e2,e3)
            & op(e3,e3) = op(e3,e3)
            & op(e3,e4) = op(e4,e3)
            & op(e3,e5) = op(e5,e3)
            & op(e4,e0) = op(e0,e4)
            & op(e4,e1) = op(e1,e4)
            & op(e4,e2) = op(e2,e4)
            & op(e4,e3) = op(e3,e4)
            & op(e4,e4) = op(e4,e4)
            & op(e4,e5) = op(e5,e4)
            & op(e5,e0) = op(e0,e5)
            & op(e5,e1) = op(e1,e5)
            & op(e5,e2) = op(e2,e5)
            & op(e5,e3) = op(e3,e5)
            & op(e5,e4) = op(e4,e5)
            & op(e5,e5) = op(e5,e5) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_4,negated_conjecture,
    ( op(e0,e0) = op(e0,e0)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e3) = op(e3,e0)
    & op(e0,e4) = op(e4,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e1,e0) = op(e0,e1)
    & op(e1,e1) = op(e1,e1)
    & op(e1,e2) = op(e2,e1)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e4) = op(e4,e1)
    & op(e1,e5) = op(e5,e1)
    & op(e2,e0) = op(e0,e2)
    & op(e2,e1) = op(e1,e2)
    & op(e2,e2) = op(e2,e2)
    & op(e2,e3) = op(e3,e2)
    & op(e2,e4) = op(e4,e2)
    & op(e2,e5) = op(e5,e2)
    & op(e3,e0) = op(e0,e3)
    & op(e3,e1) = op(e1,e3)
    & op(e3,e2) = op(e2,e3)
    & op(e3,e3) = op(e3,e3)
    & op(e3,e4) = op(e4,e3)
    & op(e3,e5) = op(e5,e3)
    & op(e4,e0) = op(e0,e4)
    & op(e4,e1) = op(e1,e4)
    & op(e4,e2) = op(e2,e4)
    & op(e4,e3) = op(e3,e4)
    & op(e4,e4) = op(e4,e4)
    & op(e4,e5) = op(e5,e4)
    & op(e5,e0) = op(e0,e5)
    & op(e5,e1) = op(e1,e5)
    & op(e5,e2) = op(e2,e5)
    & op(e5,e3) = op(e3,e5)
    & op(e5,e4) = op(e4,e5)
    & op(e5,e5) = op(e5,e5)
    & ( op(e0,e0) != op(e0,e0)
      | op(e0,e1) != op(e1,e0)
      | op(e0,e2) != op(e2,e0)
      | op(e0,e3) != op(e3,e0)
      | op(e0,e4) != op(e4,e0)
      | op(e0,e5) != op(e5,e0)
      | op(e1,e0) != op(e0,e1)
      | op(e1,e1) != op(e1,e1)
      | op(e1,e2) != op(e2,e1)
      | op(e1,e3) != op(e3,e1)
      | op(e1,e4) != op(e4,e1)
      | op(e1,e5) != op(e5,e1)
      | op(e2,e0) != op(e0,e2)
      | op(e2,e1) != op(e1,e2)
      | op(e2,e2) != op(e2,e2)
      | op(e2,e3) != op(e3,e2)
      | op(e2,e4) != op(e4,e2)
      | op(e2,e5) != op(e5,e2)
      | op(e3,e0) != op(e0,e3)
      | op(e3,e1) != op(e1,e3)
      | op(e3,e2) != op(e2,e3)
      | op(e3,e3) != op(e3,e3)
      | op(e3,e4) != op(e4,e3)
      | op(e3,e5) != op(e5,e3)
      | op(e4,e0) != op(e0,e4)
      | op(e4,e1) != op(e1,e4)
      | op(e4,e2) != op(e2,e4)
      | op(e4,e3) != op(e3,e4)
      | op(e4,e4) != op(e4,e4)
      | op(e4,e5) != op(e5,e4)
      | op(e5,e0) != op(e0,e5)
      | op(e5,e1) != op(e1,e5)
      | op(e5,e2) != op(e2,e5)
      | op(e5,e3) != op(e3,e5)
      | op(e5,e4) != op(e4,e5)
      | op(e5,e5) != op(e5,e5) ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_5,plain,
    e1 = op(op(e4,e4),e4),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_6,plain,
    e3 = op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_7,negated_conjecture,
    op(e4,e3) = op(e3,e4),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    e2 = op(op(op(e4,e4),e4),e4),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_9,plain,
    op(e4,e3) = e1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    op(e4,e1) = op(e1,e4),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    ( $false
    | op(e0,e1) != op(e1,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e0,e5) != op(e5,e0)
    | op(e1,e0) != op(e0,e1)
    | $false
    | op(e1,e2) != op(e2,e1)
    | op(e1,e3) != op(e3,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e5) != op(e5,e1)
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != op(e1,e2)
    | $false
    | op(e2,e3) != op(e3,e2)
    | op(e2,e4) != op(e4,e2)
    | op(e2,e5) != op(e5,e2)
    | op(e3,e0) != op(e0,e3)
    | op(e3,e1) != op(e1,e3)
    | op(e3,e2) != op(e2,e3)
    | $false
    | op(e3,e4) != op(e4,e3)
    | op(e3,e5) != op(e5,e3)
    | op(e4,e0) != op(e0,e4)
    | op(e4,e1) != op(e1,e4)
    | op(e4,e2) != op(e2,e4)
    | op(e4,e3) != op(e3,e4)
    | $false
    | op(e4,e5) != op(e5,e4)
    | op(e5,e0) != op(e0,e5)
    | op(e5,e1) != op(e1,e5)
    | op(e5,e2) != op(e2,e5)
    | op(e5,e3) != op(e3,e5)
    | op(e5,e4) != op(e4,e5)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,plain,
    op(op(e1,e4),e4) = op(e1,op(e4,e4)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_13,plain,
    op(e4,e1) = e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_6]),c_0_7]),c_0_9]),c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    op(e4,e2) = op(e2,e4),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    op(e3,e1) = op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,plain,
    e5 = op(op(op(op(e4,e4),e4),e4),e4),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_17,plain,
    e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_18,negated_conjecture,
    op(e3,e2) = op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19,negated_conjecture,
    ( op(e1,e0) != op(e0,e1)
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != op(e1,e2)
    | op(e3,e0) != op(e0,e3)
    | op(e3,e1) != op(e1,e3)
    | op(e3,e2) != op(e2,e3)
    | op(e4,e0) != op(e0,e4)
    | op(e4,e1) != op(e1,e4)
    | op(e4,e2) != op(e2,e4)
    | op(e4,e3) != op(e3,e4)
    | op(e5,e0) != op(e0,e5)
    | op(e5,e1) != op(e1,e5)
    | op(e5,e2) != op(e2,e5)
    | op(e5,e3) != op(e3,e5)
    | op(e5,e4) != op(e4,e5) ),
    inference(cn,[status(thm)],[c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    op(e1,e0) = op(e0,e1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,negated_conjecture,
    op(e2,e0) = op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22,negated_conjecture,
    op(e2,e1) = op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_23,negated_conjecture,
    op(e3,e0) = op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24,plain,
    op(e3,e1) = op(e4,e2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_13]),c_0_14]),c_0_6]),c_0_15]) ).

cnf(c_0_25,plain,
    op(e4,e2) = e5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_6]),c_0_7]),c_0_9]),c_0_10]),c_0_13]),c_0_14]) ).

cnf(c_0_26,plain,
    op(e3,e2) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_6]),c_0_7]),c_0_9]),c_0_10]),c_0_13]),c_0_6]),c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    op(e4,e0) = op(e0,e4),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_28,negated_conjecture,
    op(e5,e0) = op(e0,e5),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_29,negated_conjecture,
    op(e5,e1) = op(e1,e5),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_30,negated_conjecture,
    op(e5,e2) = op(e2,e5),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31,negated_conjecture,
    op(e5,e3) = op(e3,e5),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_32,negated_conjecture,
    op(e5,e4) = op(e4,e5),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_15]),c_0_24]),c_0_25]),c_0_24]),c_0_25]),c_0_18]),c_0_26]),c_0_26]),c_0_27]),c_0_10]),c_0_13]),c_0_13]),c_0_14]),c_0_25]),c_0_25]),c_0_7]),c_0_9]),c_0_9]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem    : ALG028+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.09  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n017.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sat May 18 22:57:22 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.14/0.38  Running first-order model finding
% 0.14/0.38  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41  # Version: 3.1.0
% 0.14/0.41  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8092 completed with status 0
% 0.14/0.41  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.41  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FGHPF-FSLM21-MFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.41  # Starting new_bool_3 with 136s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 136s (1) cores
% 0.14/0.41  # Starting sh5l with 136s (1) cores
% 0.14/0.41  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8099 completed with status 0
% 0.14/0.41  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.41  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FGHPF-FSLM21-MFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.41  # Preprocessing time       : 0.004 s
% 0.14/0.41  # Presaturation interreduction done
% 0.14/0.41  
% 0.14/0.41  # Proof found!
% 0.14/0.41  # SZS status Theorem
% 0.14/0.41  # SZS output start CNFRefutation
% See solution above
% 0.14/0.41  # Parsed axioms                        : 12
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.41  # Initial clauses                      : 572
% 0.14/0.41  # Removed in clause preprocessing      : 6
% 0.14/0.41  # Initial clauses in saturation        : 566
% 0.14/0.41  # Processed clauses                    : 566
% 0.14/0.41  # ...of these trivial                  : 60
% 0.14/0.41  # ...subsumed                          : 49
% 0.14/0.41  # ...remaining for further processing  : 456
% 0.14/0.41  # Other redundant clauses eliminated   : 0
% 0.14/0.41  # Clauses deleted for lack of memory   : 0
% 0.14/0.41  # Backward-subsumed                    : 0
% 0.14/0.41  # Backward-rewritten                   : 188
% 0.14/0.41  # Generated clauses                    : 0
% 0.14/0.41  # ...of the previous two non-redundant : 183
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 0
% 0.14/0.41  # Paramodulations                      : 0
% 0.14/0.41  # Factorizations                       : 0
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 0
% 0.14/0.41  # Disequality decompositions           : 0
% 0.14/0.41  # Total rewrite steps                  : 966
% 0.14/0.41  # ...of those cached                   : 822
% 0.14/0.41  # Propositional unsat checks           : 0
% 0.14/0.41  #    Propositional check models        : 0
% 0.14/0.41  #    Propositional check unsatisfiable : 0
% 0.14/0.41  #    Propositional clauses             : 0
% 0.14/0.41  #    Propositional clauses after purity: 0
% 0.14/0.41  #    Propositional unsat core size     : 0
% 0.14/0.41  #    Propositional preprocessing time  : 0.000
% 0.14/0.41  #    Propositional encoding time       : 0.000
% 0.14/0.41  #    Propositional solver time         : 0.000
% 0.14/0.41  #    Success case prop preproc time    : 0.000
% 0.14/0.41  #    Success case prop encoding time   : 0.000
% 0.14/0.41  #    Success case prop solver time     : 0.000
% 0.14/0.41  # Current number of processed clauses  : 268
% 0.14/0.41  #    Positive orientable unit clauses  : 144
% 0.14/0.41  #    Positive unorientable unit clauses: 0
% 0.14/0.41  #    Negative unit clauses             : 74
% 0.14/0.41  #    Non-unit-clauses                  : 50
% 0.14/0.41  # Current number of unprocessed clauses: 183
% 0.14/0.41  # ...number of literals in the above   : 183
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 188
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 63
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 40
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 10
% 0.14/0.41  # Unit Clause-clause subsumption calls : 45
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 38
% 0.14/0.41  # BW rewrite match successes           : 38
% 0.14/0.41  # Condensation attempts                : 0
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 27658
% 0.14/0.41  # Search garbage collected termcells   : 1490
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.019 s
% 0.14/0.41  # System time              : 0.003 s
% 0.14/0.41  # Total time               : 0.023 s
% 0.14/0.41  # Maximum resident set size: 2448 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.076 s
% 0.14/0.41  # System time              : 0.010 s
% 0.14/0.41  # Total time               : 0.086 s
% 0.14/0.41  # Maximum resident set size: 1940 pages
% 0.14/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------