%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n023.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  : 600s
% DateTime : Thu Jul 14 17:07:01 EDT 2022

% Result   : Theorem 0.22s 0.48s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(ax11,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    input ).

fof(ax11_0,plain,
    ( e0 != e1
    | $false ),
    inference(orientation,[status(thm)],[ax11]) ).

fof(ax11_1,plain,
    ( e0 != e2
    | $false ),
    inference(orientation,[status(thm)],[ax11]) ).

fof(ax11_2,plain,
    ( e0 != e3
    | $false ),
    inference(orientation,[status(thm)],[ax11]) ).

fof(ax11_3,plain,
    ( e1 != e2
    | $false ),
    inference(orientation,[status(thm)],[ax11]) ).

fof(ax11_4,plain,
    ( e1 != e3
    | $false ),
    inference(orientation,[status(thm)],[ax11]) ).

fof(ax11_5,plain,
    ( e2 != e3
    | $false ),
    inference(orientation,[status(thm)],[ax11]) ).

fof(ax10,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    input ).

fof(ax10_0,plain,
    ( op(e0,e0) != op(e1,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_1,plain,
    ( op(e0,e0) != op(e2,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_2,plain,
    ( op(e0,e0) != op(e3,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_3,plain,
    ( op(e1,e0) != op(e2,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_4,plain,
    ( op(e1,e0) != op(e3,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_5,plain,
    ( op(e2,e0) != op(e3,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_6,plain,
    ( op(e0,e1) != op(e1,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_7,plain,
    ( op(e0,e1) != op(e2,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_8,plain,
    ( op(e0,e1) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_9,plain,
    ( op(e1,e1) != op(e2,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_10,plain,
    ( op(e1,e1) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_11,plain,
    ( op(e2,e1) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_12,plain,
    ( op(e0,e2) != op(e1,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_13,plain,
    ( op(e0,e2) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_14,plain,
    ( op(e0,e2) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_15,plain,
    ( op(e1,e2) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_16,plain,
    ( op(e1,e2) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_17,plain,
    ( op(e2,e2) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_18,plain,
    ( op(e0,e3) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_19,plain,
    ( op(e0,e3) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_20,plain,
    ( op(e0,e3) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_21,plain,
    ( op(e1,e3) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_22,plain,
    ( op(e1,e3) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_23,plain,
    ( op(e2,e3) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_24,plain,
    ( op(e0,e0) != op(e0,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_25,plain,
    ( op(e0,e0) != op(e0,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_26,plain,
    ( op(e0,e0) != op(e0,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_27,plain,
    ( op(e0,e1) != op(e0,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_28,plain,
    ( op(e0,e1) != op(e0,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_29,plain,
    ( op(e0,e2) != op(e0,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_30,plain,
    ( op(e1,e0) != op(e1,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_31,plain,
    ( op(e1,e0) != op(e1,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_32,plain,
    ( op(e1,e0) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_33,plain,
    ( op(e1,e1) != op(e1,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_34,plain,
    ( op(e1,e1) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_35,plain,
    ( op(e1,e2) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_36,plain,
    ( op(e2,e0) != op(e2,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_37,plain,
    ( op(e2,e0) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_38,plain,
    ( op(e2,e0) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_39,plain,
    ( op(e2,e1) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_40,plain,
    ( op(e2,e1) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_41,plain,
    ( op(e2,e2) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_42,plain,
    ( op(e3,e0) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_43,plain,
    ( op(e3,e0) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_44,plain,
    ( op(e3,e0) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_45,plain,
    ( op(e3,e1) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_46,plain,
    ( op(e3,e1) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax10_47,plain,
    ( op(e3,e2) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax10]) ).

fof(ax9,axiom,
    ( inv(e0) != inv(e1)
    & inv(e0) != inv(e2)
    & inv(e0) != inv(e3)
    & inv(e1) != inv(e2)
    & inv(e1) != inv(e3)
    & inv(e2) != inv(e3) ),
    input ).

fof(ax9_0,plain,
    ( inv(e0) != inv(e1)
    | $false ),
    inference(orientation,[status(thm)],[ax9]) ).

fof(ax9_1,plain,
    ( inv(e0) != inv(e2)
    | $false ),
    inference(orientation,[status(thm)],[ax9]) ).

fof(ax9_2,plain,
    ( inv(e0) != inv(e3)
    | $false ),
    inference(orientation,[status(thm)],[ax9]) ).

fof(ax9_3,plain,
    ( inv(e1) != inv(e2)
    | $false ),
    inference(orientation,[status(thm)],[ax9]) ).

fof(ax9_4,plain,
    ( inv(e1) != inv(e3)
    | $false ),
    inference(orientation,[status(thm)],[ax9]) ).

fof(ax9_5,plain,
    ( inv(e2) != inv(e3)
    | $false ),
    inference(orientation,[status(thm)],[ax9]) ).

fof(ax8,axiom,
    ( ( inv(e0) = e0
     => inv(e0) = e0 )
    & ( inv(e0) = e1
     => inv(e1) = e0 )
    & ( inv(e0) = e2
     => inv(e2) = e0 )
    & ( inv(e0) = e3
     => inv(e3) = e0 )
    & ( inv(e1) = e0
     => inv(e0) = e1 )
    & ( inv(e1) = e1
     => inv(e1) = e1 )
    & ( inv(e1) = e2
     => inv(e2) = e1 )
    & ( inv(e1) = e3
     => inv(e3) = e1 )
    & ( inv(e2) = e0
     => inv(e0) = e2 )
    & ( inv(e2) = e1
     => inv(e1) = e2 )
    & ( inv(e2) = e2
     => inv(e2) = e2 )
    & ( inv(e2) = e3
     => inv(e3) = e2 )
    & ( inv(e3) = e0
     => inv(e0) = e3 )
    & ( inv(e3) = e1
     => inv(e1) = e3 )
    & ( inv(e3) = e2
     => inv(e2) = e3 )
    & ( inv(e3) = e3
     => inv(e3) = e3 ) ),
    input ).

fof(ax8_0,plain,
    ( inv(e0) != e0
    | inv(e0) = e0 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_1,plain,
    ( inv(e0) != e1
    | inv(e1) = e0 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_2,plain,
    ( inv(e0) != e2
    | inv(e2) = e0 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_3,plain,
    ( inv(e0) != e3
    | inv(e3) = e0 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_4,plain,
    ( inv(e1) != e0
    | inv(e0) = e1 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_5,plain,
    ( inv(e1) != e1
    | inv(e1) = e1 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_6,plain,
    ( inv(e1) != e2
    | inv(e2) = e1 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_7,plain,
    ( inv(e1) != e3
    | inv(e3) = e1 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_8,plain,
    ( inv(e2) != e0
    | inv(e0) = e2 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_9,plain,
    ( inv(e2) != e1
    | inv(e1) = e2 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_10,plain,
    ( inv(e2) != e2
    | inv(e2) = e2 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_11,plain,
    ( inv(e2) != e3
    | inv(e3) = e2 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_12,plain,
    ( inv(e3) != e0
    | inv(e0) = e3 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_13,plain,
    ( inv(e3) != e1
    | inv(e1) = e3 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_14,plain,
    ( inv(e3) != e2
    | inv(e2) = e3 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax8_15,plain,
    ( inv(e3) != e3
    | inv(e3) = e3 ),
    inference(orientation,[status(thm)],[ax8]) ).

fof(ax7,axiom,
    ( inv(inv(e0)) = e0
    & inv(inv(e1)) = e1
    & inv(inv(e2)) = e2
    & inv(inv(e3)) = e3 ),
    input ).

fof(ax7_0,plain,
    ( inv(inv(e0)) = e0
    | $false ),
    inference(orientation,[status(thm)],[ax7]) ).

fof(ax7_1,plain,
    ( inv(inv(e1)) = e1
    | $false ),
    inference(orientation,[status(thm)],[ax7]) ).

fof(ax7_2,plain,
    ( inv(inv(e2)) = e2
    | $false ),
    inference(orientation,[status(thm)],[ax7]) ).

fof(ax7_3,plain,
    ( inv(inv(e3)) = e3
    | $false ),
    inference(orientation,[status(thm)],[ax7]) ).

fof(ax6,axiom,
    inv(unit) = unit,
    input ).

fof(ax6_0,plain,
    ( inv(unit) = unit
    | $false ),
    inference(orientation,[status(thm)],[ax6]) ).

fof(ax5,axiom,
    unit = e0,
    input ).

fof(ax5_0,plain,
    ( unit = e0
    | $false ),
    inference(orientation,[status(thm)],[ax5]) ).

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,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,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,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(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,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,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,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(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,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,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,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(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,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,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,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)) ),
    input ).

fof(ax2_0,plain,
    ( op(op(e0,e0),e0) = op(e0,op(e0,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_1,plain,
    ( op(op(e0,e0),e1) = op(e0,op(e0,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_2,plain,
    ( op(op(e0,e0),e2) = op(e0,op(e0,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_3,plain,
    ( op(op(e0,e0),e3) = op(e0,op(e0,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_4,plain,
    ( op(op(e0,e1),e0) = op(e0,op(e1,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_5,plain,
    ( op(op(e0,e1),e1) = op(e0,op(e1,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_6,plain,
    ( op(op(e0,e1),e2) = op(e0,op(e1,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_7,plain,
    ( op(op(e0,e1),e3) = op(e0,op(e1,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_8,plain,
    ( op(op(e0,e2),e0) = op(e0,op(e2,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_9,plain,
    ( op(op(e0,e2),e1) = op(e0,op(e2,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_10,plain,
    ( op(op(e0,e2),e2) = op(e0,op(e2,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_11,plain,
    ( op(op(e0,e2),e3) = op(e0,op(e2,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_12,plain,
    ( op(op(e0,e3),e0) = op(e0,op(e3,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_13,plain,
    ( op(op(e0,e3),e1) = op(e0,op(e3,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_14,plain,
    ( op(op(e0,e3),e2) = op(e0,op(e3,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_15,plain,
    ( op(op(e0,e3),e3) = op(e0,op(e3,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_16,plain,
    ( op(op(e1,e0),e0) = op(e1,op(e0,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_17,plain,
    ( op(op(e1,e0),e1) = op(e1,op(e0,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_18,plain,
    ( op(op(e1,e0),e2) = op(e1,op(e0,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_19,plain,
    ( op(op(e1,e0),e3) = op(e1,op(e0,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_20,plain,
    ( op(op(e1,e1),e0) = op(e1,op(e1,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_21,plain,
    ( op(op(e1,e1),e1) = op(e1,op(e1,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_22,plain,
    ( op(op(e1,e1),e2) = op(e1,op(e1,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_23,plain,
    ( op(op(e1,e1),e3) = op(e1,op(e1,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_24,plain,
    ( op(op(e1,e2),e0) = op(e1,op(e2,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_25,plain,
    ( op(op(e1,e2),e1) = op(e1,op(e2,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_26,plain,
    ( op(op(e1,e2),e2) = op(e1,op(e2,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_27,plain,
    ( op(op(e1,e2),e3) = op(e1,op(e2,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_28,plain,
    ( op(op(e1,e3),e0) = op(e1,op(e3,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_29,plain,
    ( op(op(e1,e3),e1) = op(e1,op(e3,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_30,plain,
    ( op(op(e1,e3),e2) = op(e1,op(e3,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_31,plain,
    ( op(op(e1,e3),e3) = op(e1,op(e3,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_32,plain,
    ( op(op(e2,e0),e0) = op(e2,op(e0,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_33,plain,
    ( op(op(e2,e0),e1) = op(e2,op(e0,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_34,plain,
    ( op(op(e2,e0),e2) = op(e2,op(e0,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_35,plain,
    ( op(op(e2,e0),e3) = op(e2,op(e0,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_36,plain,
    ( op(op(e2,e1),e0) = op(e2,op(e1,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_37,plain,
    ( op(op(e2,e1),e1) = op(e2,op(e1,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_38,plain,
    ( op(op(e2,e1),e2) = op(e2,op(e1,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_39,plain,
    ( op(op(e2,e1),e3) = op(e2,op(e1,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_40,plain,
    ( op(op(e2,e2),e0) = op(e2,op(e2,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_41,plain,
    ( op(op(e2,e2),e1) = op(e2,op(e2,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_42,plain,
    ( op(op(e2,e2),e2) = op(e2,op(e2,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_43,plain,
    ( op(op(e2,e2),e3) = op(e2,op(e2,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_44,plain,
    ( op(op(e2,e3),e0) = op(e2,op(e3,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_45,plain,
    ( op(op(e2,e3),e1) = op(e2,op(e3,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_46,plain,
    ( op(op(e2,e3),e2) = op(e2,op(e3,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_47,plain,
    ( op(op(e2,e3),e3) = op(e2,op(e3,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_48,plain,
    ( op(op(e3,e0),e0) = op(e3,op(e0,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_49,plain,
    ( op(op(e3,e0),e1) = op(e3,op(e0,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_50,plain,
    ( op(op(e3,e0),e2) = op(e3,op(e0,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_51,plain,
    ( op(op(e3,e0),e3) = op(e3,op(e0,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_52,plain,
    ( op(op(e3,e1),e0) = op(e3,op(e1,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_53,plain,
    ( op(op(e3,e1),e1) = op(e3,op(e1,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_54,plain,
    ( op(op(e3,e1),e2) = op(e3,op(e1,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_55,plain,
    ( op(op(e3,e1),e3) = op(e3,op(e1,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_56,plain,
    ( op(op(e3,e2),e0) = op(e3,op(e2,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_57,plain,
    ( op(op(e3,e2),e1) = op(e3,op(e2,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_58,plain,
    ( op(op(e3,e2),e2) = op(e3,op(e2,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_59,plain,
    ( op(op(e3,e2),e3) = op(e3,op(e2,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_60,plain,
    ( op(op(e3,e3),e0) = op(e3,op(e3,e0))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_61,plain,
    ( op(op(e3,e3),e1) = op(e3,op(e3,e1))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_62,plain,
    ( op(op(e3,e3),e2) = op(e3,op(e3,e2))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(ax2_63,plain,
    ( op(op(e3,e3),e3) = op(e3,op(e3,e3))
    | $false ),
    inference(orientation,[status(thm)],[ax2]) ).

fof(def_lhs_atom1,axiom,
    ( lhs_atom1
  <=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ( lhs_atom1
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_63,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ( lhs_atom2
  <=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ( lhs_atom2
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_62,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ( lhs_atom3
  <=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ( lhs_atom3
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_61,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> op(op(e3,e3),e0) = op(e3,op(e3,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_60,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_59,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ( lhs_atom6
  <=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom6
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_58,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ( lhs_atom7
  <=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ( lhs_atom7
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_57,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ( lhs_atom8
  <=> op(op(e3,e2),e0) = op(e3,op(e2,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ( lhs_atom8
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_56,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ( lhs_atom9
  <=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ( lhs_atom9
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_55,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ( lhs_atom10
  <=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ( lhs_atom10
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_54,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ( lhs_atom11
  <=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ( lhs_atom11
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_53,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ( lhs_atom12
  <=> op(op(e3,e1),e0) = op(e3,op(e1,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ( lhs_atom12
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_52,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ( lhs_atom13
  <=> op(op(e3,e0),e3) = op(e3,op(e0,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ( lhs_atom13
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_51,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ( lhs_atom14
  <=> op(op(e3,e0),e2) = op(e3,op(e0,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ( lhs_atom14
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_50,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ( lhs_atom15
  <=> op(op(e3,e0),e1) = op(e3,op(e0,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_49,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ( lhs_atom16
  <=> op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_48,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ( lhs_atom17
  <=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ( lhs_atom17
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_47,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ( lhs_atom18
  <=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_46,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ( lhs_atom19
  <=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ( lhs_atom19
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_45,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ( lhs_atom20
  <=> op(op(e2,e3),e0) = op(e2,op(e3,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_44,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ( lhs_atom21
  <=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ( lhs_atom21
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_43,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ( lhs_atom22
  <=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom22
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_42,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ( lhs_atom23
  <=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ( lhs_atom23
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_41,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ( lhs_atom24
  <=> op(op(e2,e2),e0) = op(e2,op(e2,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ( lhs_atom24
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_40,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_39,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_38,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ( lhs_atom27
  <=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ( lhs_atom27
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_37,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ( lhs_atom28
  <=> op(op(e2,e1),e0) = op(e2,op(e1,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ( lhs_atom28
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_36,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ( lhs_atom29
  <=> op(op(e2,e0),e3) = op(e2,op(e0,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ( lhs_atom29
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_35,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ( lhs_atom30
  <=> op(op(e2,e0),e2) = op(e2,op(e0,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ( lhs_atom30
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_34,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ( lhs_atom31
  <=> op(op(e2,e0),e1) = op(e2,op(e0,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ( lhs_atom31
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_33,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ( lhs_atom32
  <=> op(op(e2,e0),e0) = op(e2,op(e0,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ( lhs_atom32
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_32,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ( lhs_atom33
  <=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_31,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ( lhs_atom34
  <=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ( lhs_atom34
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_30,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ( lhs_atom35
  <=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ( lhs_atom35
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_29,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ( lhs_atom36
  <=> op(op(e1,e3),e0) = op(e1,op(e3,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ( lhs_atom36
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_28,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ( lhs_atom37
  <=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ( lhs_atom37
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_27,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ( lhs_atom38
  <=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ( lhs_atom38
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_26,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ( lhs_atom39
  <=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ( lhs_atom39
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_25,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ( lhs_atom40
  <=> op(op(e1,e2),e0) = op(e1,op(e2,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ( lhs_atom40
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_24,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ( lhs_atom41
  <=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ( lhs_atom41
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_23,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ( lhs_atom42
  <=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ( lhs_atom42
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_22,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ( lhs_atom43
  <=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ( lhs_atom43
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_21,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ( lhs_atom44
  <=> op(op(e1,e1),e0) = op(e1,op(e1,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ( lhs_atom44
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_20,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ( lhs_atom45
  <=> op(op(e1,e0),e3) = op(e1,op(e0,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ( lhs_atom45
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_19,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ( lhs_atom46
  <=> op(op(e1,e0),e2) = op(e1,op(e0,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ( lhs_atom46
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_18,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ( lhs_atom47
  <=> op(op(e1,e0),e1) = op(e1,op(e0,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_17,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> op(op(e1,e0),e0) = op(e1,op(e0,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_16,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> op(op(e0,e3),e3) = op(e0,op(e3,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_15,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> op(op(e0,e3),e2) = op(e0,op(e3,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_14,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> op(op(e0,e3),e1) = op(e0,op(e3,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_13,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> op(op(e0,e3),e0) = op(e0,op(e3,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_12,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> op(op(e0,e2),e3) = op(e0,op(e2,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_11,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> op(op(e0,e2),e2) = op(e0,op(e2,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_10,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> op(op(e0,e2),e1) = op(e0,op(e2,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_9,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> op(op(e0,e2),e0) = op(e0,op(e2,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_8,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ( lhs_atom57
  <=> op(op(e0,e1),e3) = op(e0,op(e1,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_7,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ( lhs_atom58
  <=> op(op(e0,e1),e2) = op(e0,op(e1,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom58
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_6,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ( lhs_atom59
  <=> op(op(e0,e1),e1) = op(e0,op(e1,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ( lhs_atom59
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_5,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ( lhs_atom60
  <=> op(op(e0,e1),e0) = op(e0,op(e1,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ( lhs_atom60
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_4,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ( lhs_atom61
  <=> op(op(e0,e0),e3) = op(e0,op(e0,e3)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_3,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ( lhs_atom62
  <=> op(op(e0,e0),e2) = op(e0,op(e0,e2)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ( lhs_atom62
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_2,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ( lhs_atom63
  <=> op(op(e0,e0),e1) = op(e0,op(e0,e1)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ( lhs_atom63
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_1,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ( lhs_atom64
  <=> op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ( lhs_atom64
    | $false ),
    inference(fold_definition,[status(thm)],[ax2_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> unit = e0 ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[ax5_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ( lhs_atom66
  <=> inv(unit) = unit ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ( lhs_atom66
    | $false ),
    inference(fold_definition,[status(thm)],[ax6_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ( lhs_atom67
  <=> inv(inv(e3)) = e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ( lhs_atom67
    | $false ),
    inference(fold_definition,[status(thm)],[ax7_3,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ( lhs_atom68
  <=> inv(inv(e2)) = e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ( lhs_atom68
    | $false ),
    inference(fold_definition,[status(thm)],[ax7_2,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ( lhs_atom69
  <=> inv(inv(e1)) = e1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ( lhs_atom69
    | $false ),
    inference(fold_definition,[status(thm)],[ax7_1,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ( lhs_atom70
  <=> inv(inv(e0)) = e0 ),
    inference(definition,[],]) ).

fof(to_be_clausified_69,plain,
    ( lhs_atom70
    | $false ),
    inference(fold_definition,[status(thm)],[ax7_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ( lhs_atom71
  <=> inv(e3) != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ( lhs_atom71
    | inv(e3) = e3 ),
    inference(fold_definition,[status(thm)],[ax8_15,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ( lhs_atom72
  <=> inv(e3) != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ( lhs_atom72
    | inv(e2) = e3 ),
    inference(fold_definition,[status(thm)],[ax8_14,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ( lhs_atom73
  <=> inv(e3) != e1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ( lhs_atom73
    | inv(e1) = e3 ),
    inference(fold_definition,[status(thm)],[ax8_13,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ( lhs_atom74
  <=> inv(e3) != e0 ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ( lhs_atom74
    | inv(e0) = e3 ),
    inference(fold_definition,[status(thm)],[ax8_12,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ( lhs_atom75
  <=> inv(e2) != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ( lhs_atom75
    | inv(e3) = e2 ),
    inference(fold_definition,[status(thm)],[ax8_11,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ( lhs_atom76
  <=> inv(e2) != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_75,plain,
    ( lhs_atom76
    | inv(e2) = e2 ),
    inference(fold_definition,[status(thm)],[ax8_10,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ( lhs_atom77
  <=> inv(e2) != e1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ( lhs_atom77
    | inv(e1) = e2 ),
    inference(fold_definition,[status(thm)],[ax8_9,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ( lhs_atom78
  <=> inv(e2) != e0 ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ( lhs_atom78
    | inv(e0) = e2 ),
    inference(fold_definition,[status(thm)],[ax8_8,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ( lhs_atom79
  <=> inv(e1) != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ( lhs_atom79
    | inv(e3) = e1 ),
    inference(fold_definition,[status(thm)],[ax8_7,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ( lhs_atom80
  <=> inv(e1) != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_79,plain,
    ( lhs_atom80
    | inv(e2) = e1 ),
    inference(fold_definition,[status(thm)],[ax8_6,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ( lhs_atom81
  <=> inv(e1) != e1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ( lhs_atom81
    | inv(e1) = e1 ),
    inference(fold_definition,[status(thm)],[ax8_5,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ( lhs_atom82
  <=> inv(e1) != e0 ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ( lhs_atom82
    | inv(e0) = e1 ),
    inference(fold_definition,[status(thm)],[ax8_4,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ( lhs_atom83
  <=> inv(e0) != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ( lhs_atom83
    | inv(e3) = e0 ),
    inference(fold_definition,[status(thm)],[ax8_3,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ( lhs_atom84
  <=> inv(e0) != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_83,plain,
    ( lhs_atom84
    | inv(e2) = e0 ),
    inference(fold_definition,[status(thm)],[ax8_2,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ( lhs_atom85
  <=> inv(e0) != e1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_84,plain,
    ( lhs_atom85
    | inv(e1) = e0 ),
    inference(fold_definition,[status(thm)],[ax8_1,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ( lhs_atom86
  <=> inv(e0) != e0 ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ( lhs_atom86
    | inv(e0) = e0 ),
    inference(fold_definition,[status(thm)],[ax8_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ( lhs_atom87
  <=> inv(e2) != inv(e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_86,plain,
    ( lhs_atom87
    | $false ),
    inference(fold_definition,[status(thm)],[ax9_5,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ( lhs_atom88
  <=> inv(e1) != inv(e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_87,plain,
    ( lhs_atom88
    | $false ),
    inference(fold_definition,[status(thm)],[ax9_4,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ( lhs_atom89
  <=> inv(e1) != inv(e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ( lhs_atom89
    | $false ),
    inference(fold_definition,[status(thm)],[ax9_3,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ( lhs_atom90
  <=> inv(e0) != inv(e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ( lhs_atom90
    | $false ),
    inference(fold_definition,[status(thm)],[ax9_2,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ( lhs_atom91
  <=> inv(e0) != inv(e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ( lhs_atom91
    | $false ),
    inference(fold_definition,[status(thm)],[ax9_1,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ( lhs_atom92
  <=> inv(e0) != inv(e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ( lhs_atom92
    | $false ),
    inference(fold_definition,[status(thm)],[ax9_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ( lhs_atom93
  <=> op(e3,e2) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ( lhs_atom93
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_47,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ( lhs_atom94
  <=> op(e3,e1) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_93,plain,
    ( lhs_atom94
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_46,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ( lhs_atom95
  <=> op(e3,e1) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_94,plain,
    ( lhs_atom95
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_45,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ( lhs_atom96
  <=> op(e3,e0) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ( lhs_atom96
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_44,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ( lhs_atom97
  <=> op(e3,e0) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_96,plain,
    ( lhs_atom97
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_43,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ( lhs_atom98
  <=> op(e3,e0) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ( lhs_atom98
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_42,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ( lhs_atom99
  <=> op(e2,e2) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ( lhs_atom99
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_41,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ( lhs_atom100
  <=> op(e2,e1) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ( lhs_atom100
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_40,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ( lhs_atom101
  <=> op(e2,e1) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ( lhs_atom101
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_39,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ( lhs_atom102
  <=> op(e2,e0) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_101,plain,
    ( lhs_atom102
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_38,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ( lhs_atom103
  <=> op(e2,e0) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_102,plain,
    ( lhs_atom103
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_37,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ( lhs_atom104
  <=> op(e2,e0) != op(e2,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ( lhs_atom104
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_36,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ( lhs_atom105
  <=> op(e1,e2) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ( lhs_atom105
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_35,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ( lhs_atom106
  <=> op(e1,e1) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ( lhs_atom106
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_34,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ( lhs_atom107
  <=> op(e1,e1) != op(e1,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ( lhs_atom107
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_33,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ( lhs_atom108
  <=> op(e1,e0) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ( lhs_atom108
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_32,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ( lhs_atom109
  <=> op(e1,e0) != op(e1,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_108,plain,
    ( lhs_atom109
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_31,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ( lhs_atom110
  <=> op(e1,e0) != op(e1,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ( lhs_atom110
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_30,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ( lhs_atom111
  <=> op(e0,e2) != op(e0,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ( lhs_atom111
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_29,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ( lhs_atom112
  <=> op(e0,e1) != op(e0,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ( lhs_atom112
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_28,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ( lhs_atom113
  <=> op(e0,e1) != op(e0,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ( lhs_atom113
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_27,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ( lhs_atom114
  <=> op(e0,e0) != op(e0,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ( lhs_atom114
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_26,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ( lhs_atom115
  <=> op(e0,e0) != op(e0,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ( lhs_atom115
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_25,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ( lhs_atom116
  <=> op(e0,e0) != op(e0,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_115,plain,
    ( lhs_atom116
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_24,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ( lhs_atom117
  <=> op(e2,e3) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_116,plain,
    ( lhs_atom117
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_23,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ( lhs_atom118
  <=> op(e1,e3) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ( lhs_atom118
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_22,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ( lhs_atom119
  <=> op(e1,e3) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_118,plain,
    ( lhs_atom119
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_21,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ( lhs_atom120
  <=> op(e0,e3) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ( lhs_atom120
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_20,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ( lhs_atom121
  <=> op(e0,e3) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ( lhs_atom121
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_19,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ( lhs_atom122
  <=> op(e0,e3) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ( lhs_atom122
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_18,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ( lhs_atom123
  <=> op(e2,e2) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_122,plain,
    ( lhs_atom123
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_17,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ( lhs_atom124
  <=> op(e1,e2) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_123,plain,
    ( lhs_atom124
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_16,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ( lhs_atom125
  <=> op(e1,e2) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ( lhs_atom125
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_15,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ( lhs_atom126
  <=> op(e0,e2) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_125,plain,
    ( lhs_atom126
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_14,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ( lhs_atom127
  <=> op(e0,e2) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_126,plain,
    ( lhs_atom127
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_13,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ( lhs_atom128
  <=> op(e0,e2) != op(e1,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ( lhs_atom128
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_12,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ( lhs_atom129
  <=> op(e2,e1) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_128,plain,
    ( lhs_atom129
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_11,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ( lhs_atom130
  <=> op(e1,e1) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_129,plain,
    ( lhs_atom130
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_10,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ( lhs_atom131
  <=> op(e1,e1) != op(e2,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_130,plain,
    ( lhs_atom131
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_9,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ( lhs_atom132
  <=> op(e0,e1) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_131,plain,
    ( lhs_atom132
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_8,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ( lhs_atom133
  <=> op(e0,e1) != op(e2,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_132,plain,
    ( lhs_atom133
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_7,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ( lhs_atom134
  <=> op(e0,e1) != op(e1,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_133,plain,
    ( lhs_atom134
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_6,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ( lhs_atom135
  <=> op(e2,e0) != op(e3,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_134,plain,
    ( lhs_atom135
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_5,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ( lhs_atom136
  <=> op(e1,e0) != op(e3,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_135,plain,
    ( lhs_atom136
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_4,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ( lhs_atom137
  <=> op(e1,e0) != op(e2,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_136,plain,
    ( lhs_atom137
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_3,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ( lhs_atom138
  <=> op(e0,e0) != op(e3,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_137,plain,
    ( lhs_atom138
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_2,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ( lhs_atom139
  <=> op(e0,e0) != op(e2,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_138,plain,
    ( lhs_atom139
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_1,def_lhs_atom139]) ).

fof(def_lhs_atom140,axiom,
    ( lhs_atom140
  <=> op(e0,e0) != op(e1,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_139,plain,
    ( lhs_atom140
    | $false ),
    inference(fold_definition,[status(thm)],[ax10_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ( lhs_atom141
  <=> e2 != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_140,plain,
    ( lhs_atom141
    | $false ),
    inference(fold_definition,[status(thm)],[ax11_5,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ( lhs_atom142
  <=> e1 != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_141,plain,
    ( lhs_atom142
    | $false ),
    inference(fold_definition,[status(thm)],[ax11_4,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ( lhs_atom143
  <=> e1 != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_142,plain,
    ( lhs_atom143
    | $false ),
    inference(fold_definition,[status(thm)],[ax11_3,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ( lhs_atom144
  <=> e0 != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_143,plain,
    ( lhs_atom144
    | $false ),
    inference(fold_definition,[status(thm)],[ax11_2,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ( lhs_atom145
  <=> e0 != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_144,plain,
    ( lhs_atom145
    | $false ),
    inference(fold_definition,[status(thm)],[ax11_1,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ( lhs_atom146
  <=> e0 != e1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_145,plain,
    ( lhs_atom146
    | $false ),
    inference(fold_definition,[status(thm)],[ax11_0,def_lhs_atom146]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ( lhs_atom86
    | inv(e0) = e0 ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_1,axiom,
    ( lhs_atom85
    | inv(e1) = e0 ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_2,axiom,
    ( lhs_atom84
    | inv(e2) = e0 ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_3,axiom,
    ( lhs_atom83
    | inv(e3) = e0 ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_4,axiom,
    ( lhs_atom82
    | inv(e0) = e1 ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_5,axiom,
    ( lhs_atom81
    | inv(e1) = e1 ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_6,axiom,
    ( lhs_atom80
    | inv(e2) = e1 ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_7,axiom,
    ( lhs_atom79
    | inv(e3) = e1 ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_8,axiom,
    ( lhs_atom78
    | inv(e0) = e2 ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_9,axiom,
    ( lhs_atom77
    | inv(e1) = e2 ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_10,axiom,
    ( lhs_atom76
    | inv(e2) = e2 ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_11,axiom,
    ( lhs_atom75
    | inv(e3) = e2 ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_12,axiom,
    ( lhs_atom74
    | inv(e0) = e3 ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_13,axiom,
    ( lhs_atom73
    | inv(e1) = e3 ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_14,axiom,
    ( lhs_atom72
    | inv(e2) = e3 ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_15,axiom,
    ( lhs_atom71
    | inv(e3) = e3 ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_16,axiom,
    ( lhs_atom146
    | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_17,axiom,
    ( lhs_atom145
    | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_18,axiom,
    ( lhs_atom144
    | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_19,axiom,
    ( lhs_atom143
    | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_20,axiom,
    ( lhs_atom142
    | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_21,axiom,
    ( lhs_atom141
    | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_22,axiom,
    ( lhs_atom140
    | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_23,axiom,
    ( lhs_atom139
    | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_24,axiom,
    ( lhs_atom138
    | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_25,axiom,
    ( lhs_atom137
    | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_26,axiom,
    ( lhs_atom136
    | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_27,axiom,
    ( lhs_atom135
    | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_28,axiom,
    ( lhs_atom134
    | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_29,axiom,
    ( lhs_atom133
    | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_30,axiom,
    ( lhs_atom132
    | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_31,axiom,
    ( lhs_atom131
    | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_32,axiom,
    ( lhs_atom130
    | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_33,axiom,
    ( lhs_atom129
    | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_34,axiom,
    ( lhs_atom128
    | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_35,axiom,
    ( lhs_atom127
    | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_36,axiom,
    ( lhs_atom126
    | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_37,axiom,
    ( lhs_atom125
    | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_38,axiom,
    ( lhs_atom124
    | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_39,axiom,
    ( lhs_atom123
    | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_40,axiom,
    ( lhs_atom122
    | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_41,axiom,
    ( lhs_atom121
    | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_42,axiom,
    ( lhs_atom120
    | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_43,axiom,
    ( lhs_atom119
    | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_44,axiom,
    ( lhs_atom118
    | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_45,axiom,
    ( lhs_atom117
    | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_46,axiom,
    ( lhs_atom116
    | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_47,axiom,
    ( lhs_atom115
    | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_48,axiom,
    ( lhs_atom114
    | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_49,axiom,
    ( lhs_atom113
    | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_50,axiom,
    ( lhs_atom112
    | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_51,axiom,
    ( lhs_atom111
    | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_52,axiom,
    ( lhs_atom110
    | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_53,axiom,
    ( lhs_atom109
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_54,axiom,
    ( lhs_atom108
    | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_55,axiom,
    ( lhs_atom107
    | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_56,axiom,
    ( lhs_atom106
    | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_57,axiom,
    ( lhs_atom105
    | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_58,axiom,
    ( lhs_atom104
    | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_59,axiom,
    ( lhs_atom103
    | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_60,axiom,
    ( lhs_atom102
    | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_61,axiom,
    ( lhs_atom101
    | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_62,axiom,
    ( lhs_atom100
    | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_63,axiom,
    ( lhs_atom99
    | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_64,axiom,
    ( lhs_atom98
    | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_65,axiom,
    ( lhs_atom97
    | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_66,axiom,
    ( lhs_atom96
    | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_67,axiom,
    ( lhs_atom95
    | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_68,axiom,
    ( lhs_atom94
    | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_69,axiom,
    ( lhs_atom93
    | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_70,axiom,
    ( lhs_atom92
    | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_71,axiom,
    ( lhs_atom91
    | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_72,axiom,
    ( lhs_atom90
    | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_73,axiom,
    ( lhs_atom89
    | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_74,axiom,
    ( lhs_atom88
    | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_75,axiom,
    ( lhs_atom87
    | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_76,axiom,
    ( lhs_atom70
    | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_77,axiom,
    ( lhs_atom69
    | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_78,axiom,
    ( lhs_atom68
    | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_79,axiom,
    ( lhs_atom67
    | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_80,axiom,
    ( lhs_atom66
    | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_81,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_82,axiom,
    ( lhs_atom64
    | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_83,axiom,
    ( lhs_atom63
    | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_84,axiom,
    ( lhs_atom62
    | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_85,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_86,axiom,
    ( lhs_atom60
    | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_87,axiom,
    ( lhs_atom59
    | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_88,axiom,
    ( lhs_atom58
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_89,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_90,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_91,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_92,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_93,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_94,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_95,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_96,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_97,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_98,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_99,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_100,axiom,
    ( lhs_atom46
    | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_101,axiom,
    ( lhs_atom45
    | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_102,axiom,
    ( lhs_atom44
    | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_103,axiom,
    ( lhs_atom43
    | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_104,axiom,
    ( lhs_atom42
    | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_105,axiom,
    ( lhs_atom41
    | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_106,axiom,
    ( lhs_atom40
    | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_107,axiom,
    ( lhs_atom39
    | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_108,axiom,
    ( lhs_atom38
    | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_109,axiom,
    ( lhs_atom37
    | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_110,axiom,
    ( lhs_atom36
    | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_111,axiom,
    ( lhs_atom35
    | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_112,axiom,
    ( lhs_atom34
    | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_113,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_114,axiom,
    ( lhs_atom32
    | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_115,axiom,
    ( lhs_atom31
    | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_116,axiom,
    ( lhs_atom30
    | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_117,axiom,
    ( lhs_atom29
    | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_118,axiom,
    ( lhs_atom28
    | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_119,axiom,
    ( lhs_atom27
    | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_120,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_121,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_122,axiom,
    ( lhs_atom24
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_123,axiom,
    ( lhs_atom23
    | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_124,axiom,
    ( lhs_atom22
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_125,axiom,
    ( lhs_atom21
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_126,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_127,axiom,
    ( lhs_atom19
    | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_128,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_129,axiom,
    ( lhs_atom17
    | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_130,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_131,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_132,axiom,
    ( lhs_atom14
    | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_133,axiom,
    ( lhs_atom13
    | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_134,axiom,
    ( lhs_atom12
    | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_135,axiom,
    ( lhs_atom11
    | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_136,axiom,
    ( lhs_atom10
    | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_137,axiom,
    ( lhs_atom9
    | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_138,axiom,
    ( lhs_atom8
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_139,axiom,
    ( lhs_atom7
    | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_140,axiom,
    ( lhs_atom6
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_141,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_142,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_143,axiom,
    ( lhs_atom3
    | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_144,axiom,
    ( lhs_atom2
    | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_145,axiom,
    ( lhs_atom1
    | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_146,axiom,
    ( lhs_atom86
    | inv(e0) = e0 ),
    c_0_0 ).

fof(c_0_147,axiom,
    ( lhs_atom85
    | inv(e1) = e0 ),
    c_0_1 ).

fof(c_0_148,axiom,
    ( lhs_atom84
    | inv(e2) = e0 ),
    c_0_2 ).

fof(c_0_149,axiom,
    ( lhs_atom83
    | inv(e3) = e0 ),
    c_0_3 ).

fof(c_0_150,axiom,
    ( lhs_atom82
    | inv(e0) = e1 ),
    c_0_4 ).

fof(c_0_151,axiom,
    ( lhs_atom81
    | inv(e1) = e1 ),
    c_0_5 ).

fof(c_0_152,axiom,
    ( lhs_atom80
    | inv(e2) = e1 ),
    c_0_6 ).

fof(c_0_153,axiom,
    ( lhs_atom79
    | inv(e3) = e1 ),
    c_0_7 ).

fof(c_0_154,axiom,
    ( lhs_atom78
    | inv(e0) = e2 ),
    c_0_8 ).

fof(c_0_155,axiom,
    ( lhs_atom77
    | inv(e1) = e2 ),
    c_0_9 ).

fof(c_0_156,axiom,
    ( lhs_atom76
    | inv(e2) = e2 ),
    c_0_10 ).

fof(c_0_157,axiom,
    ( lhs_atom75
    | inv(e3) = e2 ),
    c_0_11 ).

fof(c_0_158,axiom,
    ( lhs_atom74
    | inv(e0) = e3 ),
    c_0_12 ).

fof(c_0_159,axiom,
    ( lhs_atom73
    | inv(e1) = e3 ),
    c_0_13 ).

fof(c_0_160,axiom,
    ( lhs_atom72
    | inv(e2) = e3 ),
    c_0_14 ).

fof(c_0_161,axiom,
    ( lhs_atom71
    | inv(e3) = e3 ),
    c_0_15 ).

fof(c_0_162,plain,
    lhs_atom146,
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_163,plain,
    lhs_atom145,
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_164,plain,
    lhs_atom144,
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_165,plain,
    lhs_atom143,
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_166,plain,
    lhs_atom142,
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_167,plain,
    lhs_atom141,
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_168,plain,
    lhs_atom140,
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_169,plain,
    lhs_atom139,
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_170,plain,
    lhs_atom138,
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_171,plain,
    lhs_atom137,
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_172,plain,
    lhs_atom136,
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_173,plain,
    lhs_atom135,
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_174,plain,
    lhs_atom134,
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_175,plain,
    lhs_atom133,
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_176,plain,
    lhs_atom132,
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_177,plain,
    lhs_atom131,
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_178,plain,
    lhs_atom130,
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_179,plain,
    lhs_atom129,
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_180,plain,
    lhs_atom128,
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_181,plain,
    lhs_atom127,
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_182,plain,
    lhs_atom126,
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_183,plain,
    lhs_atom125,
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_184,plain,
    lhs_atom124,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_185,plain,
    lhs_atom123,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_186,plain,
    lhs_atom122,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_187,plain,
    lhs_atom121,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_188,plain,
    lhs_atom120,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_189,plain,
    lhs_atom119,
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_190,plain,
    lhs_atom118,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_191,plain,
    lhs_atom117,
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_192,plain,
    lhs_atom116,
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_193,plain,
    lhs_atom115,
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_194,plain,
    lhs_atom114,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_195,plain,
    lhs_atom113,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_196,plain,
    lhs_atom112,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_197,plain,
    lhs_atom111,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_198,plain,
    lhs_atom110,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_199,plain,
    lhs_atom109,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_200,plain,
    lhs_atom108,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_201,plain,
    lhs_atom107,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_202,plain,
    lhs_atom106,
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_203,plain,
    lhs_atom105,
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_204,plain,
    lhs_atom104,
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_205,plain,
    lhs_atom103,
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_206,plain,
    lhs_atom102,
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_207,plain,
    lhs_atom101,
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_208,plain,
    lhs_atom100,
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_209,plain,
    lhs_atom99,
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_210,plain,
    lhs_atom98,
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_211,plain,
    lhs_atom97,
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_212,plain,
    lhs_atom96,
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_213,plain,
    lhs_atom95,
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_214,plain,
    lhs_atom94,
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_215,plain,
    lhs_atom93,
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_216,plain,
    lhs_atom92,
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_217,plain,
    lhs_atom91,
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_218,plain,
    lhs_atom90,
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_219,plain,
    lhs_atom89,
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_220,plain,
    lhs_atom88,
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_221,plain,
    lhs_atom87,
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_222,plain,
    lhs_atom70,
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_223,plain,
    lhs_atom69,
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_224,plain,
    lhs_atom68,
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_225,plain,
    lhs_atom67,
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_226,plain,
    lhs_atom66,
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_227,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_228,plain,
    lhs_atom64,
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_229,plain,
    lhs_atom63,
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_230,plain,
    lhs_atom62,
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_231,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_232,plain,
    lhs_atom60,
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_233,plain,
    lhs_atom59,
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_234,plain,
    lhs_atom58,
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_235,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_236,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_237,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_238,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_239,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_240,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_241,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_242,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_243,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_244,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_245,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_246,plain,
    lhs_atom46,
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_247,plain,
    lhs_atom45,
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_248,plain,
    lhs_atom44,
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_249,plain,
    lhs_atom43,
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_250,plain,
    lhs_atom42,
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_251,plain,
    lhs_atom41,
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_252,plain,
    lhs_atom40,
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_253,plain,
    lhs_atom39,
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_254,plain,
    lhs_atom38,
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_255,plain,
    lhs_atom37,
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_256,plain,
    lhs_atom36,
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_257,plain,
    lhs_atom35,
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_258,plain,
    lhs_atom34,
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_259,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_260,plain,
    lhs_atom32,
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_261,plain,
    lhs_atom31,
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_262,plain,
    lhs_atom30,
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_263,plain,
    lhs_atom29,
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_264,plain,
    lhs_atom28,
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_265,plain,
    lhs_atom27,
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_266,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_267,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_268,plain,
    lhs_atom24,
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_269,plain,
    lhs_atom23,
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_270,plain,
    lhs_atom22,
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_271,plain,
    lhs_atom21,
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_272,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_273,plain,
    lhs_atom19,
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_274,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_275,plain,
    lhs_atom17,
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_276,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_277,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_278,plain,
    lhs_atom14,
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_279,plain,
    lhs_atom13,
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_280,plain,
    lhs_atom12,
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_281,plain,
    lhs_atom11,
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_282,plain,
    lhs_atom10,
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_283,plain,
    lhs_atom9,
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_284,plain,
    lhs_atom8,
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_285,plain,
    lhs_atom7,
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_286,plain,
    lhs_atom6,
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_287,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_288,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_289,plain,
    lhs_atom3,
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_290,plain,
    lhs_atom2,
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_291,plain,
    lhs_atom1,
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_292,axiom,
    ( lhs_atom86
    | inv(e0) = e0 ),
    c_0_146 ).

fof(c_0_293,axiom,
    ( lhs_atom85
    | inv(e1) = e0 ),
    c_0_147 ).

fof(c_0_294,axiom,
    ( lhs_atom84
    | inv(e2) = e0 ),
    c_0_148 ).

fof(c_0_295,axiom,
    ( lhs_atom83
    | inv(e3) = e0 ),
    c_0_149 ).

fof(c_0_296,axiom,
    ( lhs_atom82
    | inv(e0) = e1 ),
    c_0_150 ).

fof(c_0_297,axiom,
    ( lhs_atom81
    | inv(e1) = e1 ),
    c_0_151 ).

fof(c_0_298,axiom,
    ( lhs_atom80
    | inv(e2) = e1 ),
    c_0_152 ).

fof(c_0_299,axiom,
    ( lhs_atom79
    | inv(e3) = e1 ),
    c_0_153 ).

fof(c_0_300,axiom,
    ( lhs_atom78
    | inv(e0) = e2 ),
    c_0_154 ).

fof(c_0_301,axiom,
    ( lhs_atom77
    | inv(e1) = e2 ),
    c_0_155 ).

fof(c_0_302,axiom,
    ( lhs_atom76
    | inv(e2) = e2 ),
    c_0_156 ).

fof(c_0_303,axiom,
    ( lhs_atom75
    | inv(e3) = e2 ),
    c_0_157 ).

fof(c_0_304,axiom,
    ( lhs_atom74
    | inv(e0) = e3 ),
    c_0_158 ).

fof(c_0_305,axiom,
    ( lhs_atom73
    | inv(e1) = e3 ),
    c_0_159 ).

fof(c_0_306,axiom,
    ( lhs_atom72
    | inv(e2) = e3 ),
    c_0_160 ).

fof(c_0_307,axiom,
    ( lhs_atom71
    | inv(e3) = e3 ),
    c_0_161 ).

fof(c_0_308,plain,
    lhs_atom146,
    c_0_162 ).

fof(c_0_309,plain,
    lhs_atom145,
    c_0_163 ).

fof(c_0_310,plain,
    lhs_atom144,
    c_0_164 ).

fof(c_0_311,plain,
    lhs_atom143,
    c_0_165 ).

fof(c_0_312,plain,
    lhs_atom142,
    c_0_166 ).

fof(c_0_313,plain,
    lhs_atom141,
    c_0_167 ).

fof(c_0_314,plain,
    lhs_atom140,
    c_0_168 ).

fof(c_0_315,plain,
    lhs_atom139,
    c_0_169 ).

fof(c_0_316,plain,
    lhs_atom138,
    c_0_170 ).

fof(c_0_317,plain,
    lhs_atom137,
    c_0_171 ).

fof(c_0_318,plain,
    lhs_atom136,
    c_0_172 ).

fof(c_0_319,plain,
    lhs_atom135,
    c_0_173 ).

fof(c_0_320,plain,
    lhs_atom134,
    c_0_174 ).

fof(c_0_321,plain,
    lhs_atom133,
    c_0_175 ).

fof(c_0_322,plain,
    lhs_atom132,
    c_0_176 ).

fof(c_0_323,plain,
    lhs_atom131,
    c_0_177 ).

fof(c_0_324,plain,
    lhs_atom130,
    c_0_178 ).

fof(c_0_325,plain,
    lhs_atom129,
    c_0_179 ).

fof(c_0_326,plain,
    lhs_atom128,
    c_0_180 ).

fof(c_0_327,plain,
    lhs_atom127,
    c_0_181 ).

fof(c_0_328,plain,
    lhs_atom126,
    c_0_182 ).

fof(c_0_329,plain,
    lhs_atom125,
    c_0_183 ).

fof(c_0_330,plain,
    lhs_atom124,
    c_0_184 ).

fof(c_0_331,plain,
    lhs_atom123,
    c_0_185 ).

fof(c_0_332,plain,
    lhs_atom122,
    c_0_186 ).

fof(c_0_333,plain,
    lhs_atom121,
    c_0_187 ).

fof(c_0_334,plain,
    lhs_atom120,
    c_0_188 ).

fof(c_0_335,plain,
    lhs_atom119,
    c_0_189 ).

fof(c_0_336,plain,
    lhs_atom118,
    c_0_190 ).

fof(c_0_337,plain,
    lhs_atom117,
    c_0_191 ).

fof(c_0_338,plain,
    lhs_atom116,
    c_0_192 ).

fof(c_0_339,plain,
    lhs_atom115,
    c_0_193 ).

fof(c_0_340,plain,
    lhs_atom114,
    c_0_194 ).

fof(c_0_341,plain,
    lhs_atom113,
    c_0_195 ).

fof(c_0_342,plain,
    lhs_atom112,
    c_0_196 ).

fof(c_0_343,plain,
    lhs_atom111,
    c_0_197 ).

fof(c_0_344,plain,
    lhs_atom110,
    c_0_198 ).

fof(c_0_345,plain,
    lhs_atom109,
    c_0_199 ).

fof(c_0_346,plain,
    lhs_atom108,
    c_0_200 ).

fof(c_0_347,plain,
    lhs_atom107,
    c_0_201 ).

fof(c_0_348,plain,
    lhs_atom106,
    c_0_202 ).

fof(c_0_349,plain,
    lhs_atom105,
    c_0_203 ).

fof(c_0_350,plain,
    lhs_atom104,
    c_0_204 ).

fof(c_0_351,plain,
    lhs_atom103,
    c_0_205 ).

fof(c_0_352,plain,
    lhs_atom102,
    c_0_206 ).

fof(c_0_353,plain,
    lhs_atom101,
    c_0_207 ).

fof(c_0_354,plain,
    lhs_atom100,
    c_0_208 ).

fof(c_0_355,plain,
    lhs_atom99,
    c_0_209 ).

fof(c_0_356,plain,
    lhs_atom98,
    c_0_210 ).

fof(c_0_357,plain,
    lhs_atom97,
    c_0_211 ).

fof(c_0_358,plain,
    lhs_atom96,
    c_0_212 ).

fof(c_0_359,plain,
    lhs_atom95,
    c_0_213 ).

fof(c_0_360,plain,
    lhs_atom94,
    c_0_214 ).

fof(c_0_361,plain,
    lhs_atom93,
    c_0_215 ).

fof(c_0_362,plain,
    lhs_atom92,
    c_0_216 ).

fof(c_0_363,plain,
    lhs_atom91,
    c_0_217 ).

fof(c_0_364,plain,
    lhs_atom90,
    c_0_218 ).

fof(c_0_365,plain,
    lhs_atom89,
    c_0_219 ).

fof(c_0_366,plain,
    lhs_atom88,
    c_0_220 ).

fof(c_0_367,plain,
    lhs_atom87,
    c_0_221 ).

fof(c_0_368,plain,
    lhs_atom70,
    c_0_222 ).

fof(c_0_369,plain,
    lhs_atom69,
    c_0_223 ).

fof(c_0_370,plain,
    lhs_atom68,
    c_0_224 ).

fof(c_0_371,plain,
    lhs_atom67,
    c_0_225 ).

fof(c_0_372,plain,
    lhs_atom66,
    c_0_226 ).

fof(c_0_373,plain,
    lhs_atom65,
    c_0_227 ).

fof(c_0_374,plain,
    lhs_atom64,
    c_0_228 ).

fof(c_0_375,plain,
    lhs_atom63,
    c_0_229 ).

fof(c_0_376,plain,
    lhs_atom62,
    c_0_230 ).

fof(c_0_377,plain,
    lhs_atom61,
    c_0_231 ).

fof(c_0_378,plain,
    lhs_atom60,
    c_0_232 ).

fof(c_0_379,plain,
    lhs_atom59,
    c_0_233 ).

fof(c_0_380,plain,
    lhs_atom58,
    c_0_234 ).

fof(c_0_381,plain,
    lhs_atom57,
    c_0_235 ).

fof(c_0_382,plain,
    lhs_atom56,
    c_0_236 ).

fof(c_0_383,plain,
    lhs_atom55,
    c_0_237 ).

fof(c_0_384,plain,
    lhs_atom54,
    c_0_238 ).

fof(c_0_385,plain,
    lhs_atom53,
    c_0_239 ).

fof(c_0_386,plain,
    lhs_atom52,
    c_0_240 ).

fof(c_0_387,plain,
    lhs_atom51,
    c_0_241 ).

fof(c_0_388,plain,
    lhs_atom50,
    c_0_242 ).

fof(c_0_389,plain,
    lhs_atom49,
    c_0_243 ).

fof(c_0_390,plain,
    lhs_atom48,
    c_0_244 ).

fof(c_0_391,plain,
    lhs_atom47,
    c_0_245 ).

fof(c_0_392,plain,
    lhs_atom46,
    c_0_246 ).

fof(c_0_393,plain,
    lhs_atom45,
    c_0_247 ).

fof(c_0_394,plain,
    lhs_atom44,
    c_0_248 ).

fof(c_0_395,plain,
    lhs_atom43,
    c_0_249 ).

fof(c_0_396,plain,
    lhs_atom42,
    c_0_250 ).

fof(c_0_397,plain,
    lhs_atom41,
    c_0_251 ).

fof(c_0_398,plain,
    lhs_atom40,
    c_0_252 ).

fof(c_0_399,plain,
    lhs_atom39,
    c_0_253 ).

fof(c_0_400,plain,
    lhs_atom38,
    c_0_254 ).

fof(c_0_401,plain,
    lhs_atom37,
    c_0_255 ).

fof(c_0_402,plain,
    lhs_atom36,
    c_0_256 ).

fof(c_0_403,plain,
    lhs_atom35,
    c_0_257 ).

fof(c_0_404,plain,
    lhs_atom34,
    c_0_258 ).

fof(c_0_405,plain,
    lhs_atom33,
    c_0_259 ).

fof(c_0_406,plain,
    lhs_atom32,
    c_0_260 ).

fof(c_0_407,plain,
    lhs_atom31,
    c_0_261 ).

fof(c_0_408,plain,
    lhs_atom30,
    c_0_262 ).

fof(c_0_409,plain,
    lhs_atom29,
    c_0_263 ).

fof(c_0_410,plain,
    lhs_atom28,
    c_0_264 ).

fof(c_0_411,plain,
    lhs_atom27,
    c_0_265 ).

fof(c_0_412,plain,
    lhs_atom26,
    c_0_266 ).

fof(c_0_413,plain,
    lhs_atom25,
    c_0_267 ).

fof(c_0_414,plain,
    lhs_atom24,
    c_0_268 ).

fof(c_0_415,plain,
    lhs_atom23,
    c_0_269 ).

fof(c_0_416,plain,
    lhs_atom22,
    c_0_270 ).

fof(c_0_417,plain,
    lhs_atom21,
    c_0_271 ).

fof(c_0_418,plain,
    lhs_atom20,
    c_0_272 ).

fof(c_0_419,plain,
    lhs_atom19,
    c_0_273 ).

fof(c_0_420,plain,
    lhs_atom18,
    c_0_274 ).

fof(c_0_421,plain,
    lhs_atom17,
    c_0_275 ).

fof(c_0_422,plain,
    lhs_atom16,
    c_0_276 ).

fof(c_0_423,plain,
    lhs_atom15,
    c_0_277 ).

fof(c_0_424,plain,
    lhs_atom14,
    c_0_278 ).

fof(c_0_425,plain,
    lhs_atom13,
    c_0_279 ).

fof(c_0_426,plain,
    lhs_atom12,
    c_0_280 ).

fof(c_0_427,plain,
    lhs_atom11,
    c_0_281 ).

fof(c_0_428,plain,
    lhs_atom10,
    c_0_282 ).

fof(c_0_429,plain,
    lhs_atom9,
    c_0_283 ).

fof(c_0_430,plain,
    lhs_atom8,
    c_0_284 ).

fof(c_0_431,plain,
    lhs_atom7,
    c_0_285 ).

fof(c_0_432,plain,
    lhs_atom6,
    c_0_286 ).

fof(c_0_433,plain,
    lhs_atom5,
    c_0_287 ).

fof(c_0_434,plain,
    lhs_atom4,
    c_0_288 ).

fof(c_0_435,plain,
    lhs_atom3,
    c_0_289 ).

fof(c_0_436,plain,
    lhs_atom2,
    c_0_290 ).

fof(c_0_437,plain,
    lhs_atom1,
    c_0_291 ).

cnf(c_0_438,plain,
    ( inv(e0) = e0
    | lhs_atom86 ),
    inference(split_conjunct,[status(thm)],[c_0_292]) ).

cnf(c_0_439,plain,
    ( inv(e1) = e0
    | lhs_atom85 ),
    inference(split_conjunct,[status(thm)],[c_0_293]) ).

cnf(c_0_440,plain,
    ( inv(e2) = e0
    | lhs_atom84 ),
    inference(split_conjunct,[status(thm)],[c_0_294]) ).

cnf(c_0_441,plain,
    ( inv(e3) = e0
    | lhs_atom83 ),
    inference(split_conjunct,[status(thm)],[c_0_295]) ).

cnf(c_0_442,plain,
    ( inv(e0) = e1
    | lhs_atom82 ),
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_443,plain,
    ( inv(e1) = e1
    | lhs_atom81 ),
    inference(split_conjunct,[status(thm)],[c_0_297]) ).

cnf(c_0_444,plain,
    ( inv(e2) = e1
    | lhs_atom80 ),
    inference(split_conjunct,[status(thm)],[c_0_298]) ).

cnf(c_0_445,plain,
    ( inv(e3) = e1
    | lhs_atom79 ),
    inference(split_conjunct,[status(thm)],[c_0_299]) ).

cnf(c_0_446,plain,
    ( inv(e0) = e2
    | lhs_atom78 ),
    inference(split_conjunct,[status(thm)],[c_0_300]) ).

cnf(c_0_447,plain,
    ( inv(e1) = e2
    | lhs_atom77 ),
    inference(split_conjunct,[status(thm)],[c_0_301]) ).

cnf(c_0_448,plain,
    ( inv(e2) = e2
    | lhs_atom76 ),
    inference(split_conjunct,[status(thm)],[c_0_302]) ).

cnf(c_0_449,plain,
    ( inv(e3) = e2
    | lhs_atom75 ),
    inference(split_conjunct,[status(thm)],[c_0_303]) ).

cnf(c_0_450,plain,
    ( inv(e0) = e3
    | lhs_atom74 ),
    inference(split_conjunct,[status(thm)],[c_0_304]) ).

cnf(c_0_451,plain,
    ( inv(e1) = e3
    | lhs_atom73 ),
    inference(split_conjunct,[status(thm)],[c_0_305]) ).

cnf(c_0_452,plain,
    ( inv(e2) = e3
    | lhs_atom72 ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_453,plain,
    ( inv(e3) = e3
    | lhs_atom71 ),
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

cnf(c_0_454,plain,
    lhs_atom146,
    inference(split_conjunct,[status(thm)],[c_0_308]) ).

cnf(c_0_455,plain,
    lhs_atom145,
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_456,plain,
    lhs_atom144,
    inference(split_conjunct,[status(thm)],[c_0_310]) ).

cnf(c_0_457,plain,
    lhs_atom143,
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_458,plain,
    lhs_atom142,
    inference(split_conjunct,[status(thm)],[c_0_312]) ).

cnf(c_0_459,plain,
    lhs_atom141,
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_460,plain,
    lhs_atom140,
    inference(split_conjunct,[status(thm)],[c_0_314]) ).

cnf(c_0_461,plain,
    lhs_atom139,
    inference(split_conjunct,[status(thm)],[c_0_315]) ).

cnf(c_0_462,plain,
    lhs_atom138,
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_463,plain,
    lhs_atom137,
    inference(split_conjunct,[status(thm)],[c_0_317]) ).

cnf(c_0_464,plain,
    lhs_atom136,
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_465,plain,
    lhs_atom135,
    inference(split_conjunct,[status(thm)],[c_0_319]) ).

cnf(c_0_466,plain,
    lhs_atom134,
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_467,plain,
    lhs_atom133,
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_468,plain,
    lhs_atom132,
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_469,plain,
    lhs_atom131,
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_470,plain,
    lhs_atom130,
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_471,plain,
    lhs_atom129,
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

cnf(c_0_472,plain,
    lhs_atom128,
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_473,plain,
    lhs_atom127,
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_474,plain,
    lhs_atom126,
    inference(split_conjunct,[status(thm)],[c_0_328]) ).

cnf(c_0_475,plain,
    lhs_atom125,
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_476,plain,
    lhs_atom124,
    inference(split_conjunct,[status(thm)],[c_0_330]) ).

cnf(c_0_477,plain,
    lhs_atom123,
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_478,plain,
    lhs_atom122,
    inference(split_conjunct,[status(thm)],[c_0_332]) ).

cnf(c_0_479,plain,
    lhs_atom121,
    inference(split_conjunct,[status(thm)],[c_0_333]) ).

cnf(c_0_480,plain,
    lhs_atom120,
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_481,plain,
    lhs_atom119,
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_482,plain,
    lhs_atom118,
    inference(split_conjunct,[status(thm)],[c_0_336]) ).

cnf(c_0_483,plain,
    lhs_atom117,
    inference(split_conjunct,[status(thm)],[c_0_337]) ).

cnf(c_0_484,plain,
    lhs_atom116,
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_485,plain,
    lhs_atom115,
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_486,plain,
    lhs_atom114,
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_487,plain,
    lhs_atom113,
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_488,plain,
    lhs_atom112,
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_489,plain,
    lhs_atom111,
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_490,plain,
    lhs_atom110,
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_491,plain,
    lhs_atom109,
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_492,plain,
    lhs_atom108,
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_493,plain,
    lhs_atom107,
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_494,plain,
    lhs_atom106,
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_495,plain,
    lhs_atom105,
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_496,plain,
    lhs_atom104,
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_497,plain,
    lhs_atom103,
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_498,plain,
    lhs_atom102,
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_499,plain,
    lhs_atom101,
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_500,plain,
    lhs_atom100,
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_501,plain,
    lhs_atom99,
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_502,plain,
    lhs_atom98,
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

cnf(c_0_503,plain,
    lhs_atom97,
    inference(split_conjunct,[status(thm)],[c_0_357]) ).

cnf(c_0_504,plain,
    lhs_atom96,
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_505,plain,
    lhs_atom95,
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_506,plain,
    lhs_atom94,
    inference(split_conjunct,[status(thm)],[c_0_360]) ).

cnf(c_0_507,plain,
    lhs_atom93,
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_508,plain,
    lhs_atom92,
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_509,plain,
    lhs_atom91,
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_510,plain,
    lhs_atom90,
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_511,plain,
    lhs_atom89,
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_512,plain,
    lhs_atom88,
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_513,plain,
    lhs_atom87,
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_514,plain,
    lhs_atom70,
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_515,plain,
    lhs_atom69,
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_516,plain,
    lhs_atom68,
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_517,plain,
    lhs_atom67,
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_518,plain,
    lhs_atom66,
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_519,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_520,plain,
    lhs_atom64,
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_521,plain,
    lhs_atom63,
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_522,plain,
    lhs_atom62,
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_523,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_524,plain,
    lhs_atom60,
    inference(split_conjunct,[status(thm)],[c_0_378]) ).

cnf(c_0_525,plain,
    lhs_atom59,
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_526,plain,
    lhs_atom58,
    inference(split_conjunct,[status(thm)],[c_0_380]) ).

cnf(c_0_527,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_381]) ).

cnf(c_0_528,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_382]) ).

cnf(c_0_529,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_530,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_531,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_532,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_533,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_387]) ).

cnf(c_0_534,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_535,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_389]) ).

cnf(c_0_536,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_537,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_391]) ).

cnf(c_0_538,plain,
    lhs_atom46,
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_539,plain,
    lhs_atom45,
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_540,plain,
    lhs_atom44,
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_541,plain,
    lhs_atom43,
    inference(split_conjunct,[status(thm)],[c_0_395]) ).

cnf(c_0_542,plain,
    lhs_atom42,
    inference(split_conjunct,[status(thm)],[c_0_396]) ).

cnf(c_0_543,plain,
    lhs_atom41,
    inference(split_conjunct,[status(thm)],[c_0_397]) ).

cnf(c_0_544,plain,
    lhs_atom40,
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_545,plain,
    lhs_atom39,
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_546,plain,
    lhs_atom38,
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_547,plain,
    lhs_atom37,
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_548,plain,
    lhs_atom36,
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_549,plain,
    lhs_atom35,
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

cnf(c_0_550,plain,
    lhs_atom34,
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_551,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_405]) ).

cnf(c_0_552,plain,
    lhs_atom32,
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_553,plain,
    lhs_atom31,
    inference(split_conjunct,[status(thm)],[c_0_407]) ).

cnf(c_0_554,plain,
    lhs_atom30,
    inference(split_conjunct,[status(thm)],[c_0_408]) ).

cnf(c_0_555,plain,
    lhs_atom29,
    inference(split_conjunct,[status(thm)],[c_0_409]) ).

cnf(c_0_556,plain,
    lhs_atom28,
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_557,plain,
    lhs_atom27,
    inference(split_conjunct,[status(thm)],[c_0_411]) ).

cnf(c_0_558,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_559,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_560,plain,
    lhs_atom24,
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_561,plain,
    lhs_atom23,
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_562,plain,
    lhs_atom22,
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_563,plain,
    lhs_atom21,
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_564,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_565,plain,
    lhs_atom19,
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_566,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_567,plain,
    lhs_atom17,
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

cnf(c_0_568,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_569,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_423]) ).

cnf(c_0_570,plain,
    lhs_atom14,
    inference(split_conjunct,[status(thm)],[c_0_424]) ).

cnf(c_0_571,plain,
    lhs_atom13,
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_572,plain,
    lhs_atom12,
    inference(split_conjunct,[status(thm)],[c_0_426]) ).

cnf(c_0_573,plain,
    lhs_atom11,
    inference(split_conjunct,[status(thm)],[c_0_427]) ).

cnf(c_0_574,plain,
    lhs_atom10,
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_575,plain,
    lhs_atom9,
    inference(split_conjunct,[status(thm)],[c_0_429]) ).

cnf(c_0_576,plain,
    lhs_atom8,
    inference(split_conjunct,[status(thm)],[c_0_430]) ).

cnf(c_0_577,plain,
    lhs_atom7,
    inference(split_conjunct,[status(thm)],[c_0_431]) ).

cnf(c_0_578,plain,
    lhs_atom6,
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_579,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_580,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_434]) ).

cnf(c_0_581,plain,
    lhs_atom3,
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_582,plain,
    lhs_atom2,
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_583,plain,
    lhs_atom1,
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_584,plain,
    ( inv(e0) = e0
    | lhs_atom86 ),
    c_0_438,
    [final] ).

cnf(c_0_585,plain,
    ( inv(e1) = e0
    | lhs_atom85 ),
    c_0_439,
    [final] ).

cnf(c_0_586,plain,
    ( inv(e2) = e0
    | lhs_atom84 ),
    c_0_440,
    [final] ).

cnf(c_0_587,plain,
    ( inv(e3) = e0
    | lhs_atom83 ),
    c_0_441,
    [final] ).

cnf(c_0_588,plain,
    ( inv(e0) = e1
    | lhs_atom82 ),
    c_0_442,
    [final] ).

cnf(c_0_589,plain,
    ( inv(e1) = e1
    | lhs_atom81 ),
    c_0_443,
    [final] ).

cnf(c_0_590,plain,
    ( inv(e2) = e1
    | lhs_atom80 ),
    c_0_444,
    [final] ).

cnf(c_0_591,plain,
    ( inv(e3) = e1
    | lhs_atom79 ),
    c_0_445,
    [final] ).

cnf(c_0_592,plain,
    ( inv(e0) = e2
    | lhs_atom78 ),
    c_0_446,
    [final] ).

cnf(c_0_593,plain,
    ( inv(e1) = e2
    | lhs_atom77 ),
    c_0_447,
    [final] ).

cnf(c_0_594,plain,
    ( inv(e2) = e2
    | lhs_atom76 ),
    c_0_448,
    [final] ).

cnf(c_0_595,plain,
    ( inv(e3) = e2
    | lhs_atom75 ),
    c_0_449,
    [final] ).

cnf(c_0_596,plain,
    ( inv(e0) = e3
    | lhs_atom74 ),
    c_0_450,
    [final] ).

cnf(c_0_597,plain,
    ( inv(e1) = e3
    | lhs_atom73 ),
    c_0_451,
    [final] ).

cnf(c_0_598,plain,
    ( inv(e2) = e3
    | lhs_atom72 ),
    c_0_452,
    [final] ).

cnf(c_0_599,plain,
    ( inv(e3) = e3
    | lhs_atom71 ),
    c_0_453,
    [final] ).

cnf(c_0_600,plain,
    lhs_atom146,
    c_0_454,
    [final] ).

cnf(c_0_601,plain,
    lhs_atom145,
    c_0_455,
    [final] ).

cnf(c_0_602,plain,
    lhs_atom144,
    c_0_456,
    [final] ).

cnf(c_0_603,plain,
    lhs_atom143,
    c_0_457,
    [final] ).

cnf(c_0_604,plain,
    lhs_atom142,
    c_0_458,
    [final] ).

cnf(c_0_605,plain,
    lhs_atom141,
    c_0_459,
    [final] ).

cnf(c_0_606,plain,
    lhs_atom140,
    c_0_460,
    [final] ).

cnf(c_0_607,plain,
    lhs_atom139,
    c_0_461,
    [final] ).

cnf(c_0_608,plain,
    lhs_atom138,
    c_0_462,
    [final] ).

cnf(c_0_609,plain,
    lhs_atom137,
    c_0_463,
    [final] ).

cnf(c_0_610,plain,
    lhs_atom136,
    c_0_464,
    [final] ).

cnf(c_0_611,plain,
    lhs_atom135,
    c_0_465,
    [final] ).

cnf(c_0_612,plain,
    lhs_atom134,
    c_0_466,
    [final] ).

cnf(c_0_613,plain,
    lhs_atom133,
    c_0_467,
    [final] ).

cnf(c_0_614,plain,
    lhs_atom132,
    c_0_468,
    [final] ).

cnf(c_0_615,plain,
    lhs_atom131,
    c_0_469,
    [final] ).

cnf(c_0_616,plain,
    lhs_atom130,
    c_0_470,
    [final] ).

cnf(c_0_617,plain,
    lhs_atom129,
    c_0_471,
    [final] ).

cnf(c_0_618,plain,
    lhs_atom128,
    c_0_472,
    [final] ).

cnf(c_0_619,plain,
    lhs_atom127,
    c_0_473,
    [final] ).

cnf(c_0_620,plain,
    lhs_atom126,
    c_0_474,
    [final] ).

cnf(c_0_621,plain,
    lhs_atom125,
    c_0_475,
    [final] ).

cnf(c_0_622,plain,
    lhs_atom124,
    c_0_476,
    [final] ).

cnf(c_0_623,plain,
    lhs_atom123,
    c_0_477,
    [final] ).

cnf(c_0_624,plain,
    lhs_atom122,
    c_0_478,
    [final] ).

cnf(c_0_625,plain,
    lhs_atom121,
    c_0_479,
    [final] ).

cnf(c_0_626,plain,
    lhs_atom120,
    c_0_480,
    [final] ).

cnf(c_0_627,plain,
    lhs_atom119,
    c_0_481,
    [final] ).

cnf(c_0_628,plain,
    lhs_atom118,
    c_0_482,
    [final] ).

cnf(c_0_629,plain,
    lhs_atom117,
    c_0_483,
    [final] ).

cnf(c_0_630,plain,
    lhs_atom116,
    c_0_484,
    [final] ).

cnf(c_0_631,plain,
    lhs_atom115,
    c_0_485,
    [final] ).

cnf(c_0_632,plain,
    lhs_atom114,
    c_0_486,
    [final] ).

cnf(c_0_633,plain,
    lhs_atom113,
    c_0_487,
    [final] ).

cnf(c_0_634,plain,
    lhs_atom112,
    c_0_488,
    [final] ).

cnf(c_0_635,plain,
    lhs_atom111,
    c_0_489,
    [final] ).

cnf(c_0_636,plain,
    lhs_atom110,
    c_0_490,
    [final] ).

cnf(c_0_637,plain,
    lhs_atom109,
    c_0_491,
    [final] ).

cnf(c_0_638,plain,
    lhs_atom108,
    c_0_492,
    [final] ).

cnf(c_0_639,plain,
    lhs_atom107,
    c_0_493,
    [final] ).

cnf(c_0_640,plain,
    lhs_atom106,
    c_0_494,
    [final] ).

cnf(c_0_641,plain,
    lhs_atom105,
    c_0_495,
    [final] ).

cnf(c_0_642,plain,
    lhs_atom104,
    c_0_496,
    [final] ).

cnf(c_0_643,plain,
    lhs_atom103,
    c_0_497,
    [final] ).

cnf(c_0_644,plain,
    lhs_atom102,
    c_0_498,
    [final] ).

cnf(c_0_645,plain,
    lhs_atom101,
    c_0_499,
    [final] ).

cnf(c_0_646,plain,
    lhs_atom100,
    c_0_500,
    [final] ).

cnf(c_0_647,plain,
    lhs_atom99,
    c_0_501,
    [final] ).

cnf(c_0_648,plain,
    lhs_atom98,
    c_0_502,
    [final] ).

cnf(c_0_649,plain,
    lhs_atom97,
    c_0_503,
    [final] ).

cnf(c_0_650,plain,
    lhs_atom96,
    c_0_504,
    [final] ).

cnf(c_0_651,plain,
    lhs_atom95,
    c_0_505,
    [final] ).

cnf(c_0_652,plain,
    lhs_atom94,
    c_0_506,
    [final] ).

cnf(c_0_653,plain,
    lhs_atom93,
    c_0_507,
    [final] ).

cnf(c_0_654,plain,
    lhs_atom92,
    c_0_508,
    [final] ).

cnf(c_0_655,plain,
    lhs_atom91,
    c_0_509,
    [final] ).

cnf(c_0_656,plain,
    lhs_atom90,
    c_0_510,
    [final] ).

cnf(c_0_657,plain,
    lhs_atom89,
    c_0_511,
    [final] ).

cnf(c_0_658,plain,
    lhs_atom88,
    c_0_512,
    [final] ).

cnf(c_0_659,plain,
    lhs_atom87,
    c_0_513,
    [final] ).

cnf(c_0_660,plain,
    lhs_atom70,
    c_0_514,
    [final] ).

cnf(c_0_661,plain,
    lhs_atom69,
    c_0_515,
    [final] ).

cnf(c_0_662,plain,
    lhs_atom68,
    c_0_516,
    [final] ).

cnf(c_0_663,plain,
    lhs_atom67,
    c_0_517,
    [final] ).

cnf(c_0_664,plain,
    lhs_atom66,
    c_0_518,
    [final] ).

cnf(c_0_665,plain,
    lhs_atom65,
    c_0_519,
    [final] ).

cnf(c_0_666,plain,
    lhs_atom64,
    c_0_520,
    [final] ).

cnf(c_0_667,plain,
    lhs_atom63,
    c_0_521,
    [final] ).

cnf(c_0_668,plain,
    lhs_atom62,
    c_0_522,
    [final] ).

cnf(c_0_669,plain,
    lhs_atom61,
    c_0_523,
    [final] ).

cnf(c_0_670,plain,
    lhs_atom60,
    c_0_524,
    [final] ).

cnf(c_0_671,plain,
    lhs_atom59,
    c_0_525,
    [final] ).

cnf(c_0_672,plain,
    lhs_atom58,
    c_0_526,
    [final] ).

cnf(c_0_673,plain,
    lhs_atom57,
    c_0_527,
    [final] ).

cnf(c_0_674,plain,
    lhs_atom56,
    c_0_528,
    [final] ).

cnf(c_0_675,plain,
    lhs_atom55,
    c_0_529,
    [final] ).

cnf(c_0_676,plain,
    lhs_atom54,
    c_0_530,
    [final] ).

cnf(c_0_677,plain,
    lhs_atom53,
    c_0_531,
    [final] ).

cnf(c_0_678,plain,
    lhs_atom52,
    c_0_532,
    [final] ).

cnf(c_0_679,plain,
    lhs_atom51,
    c_0_533,
    [final] ).

cnf(c_0_680,plain,
    lhs_atom50,
    c_0_534,
    [final] ).

cnf(c_0_681,plain,
    lhs_atom49,
    c_0_535,
    [final] ).

cnf(c_0_682,plain,
    lhs_atom48,
    c_0_536,
    [final] ).

cnf(c_0_683,plain,
    lhs_atom47,
    c_0_537,
    [final] ).

cnf(c_0_684,plain,
    lhs_atom46,
    c_0_538,
    [final] ).

cnf(c_0_685,plain,
    lhs_atom45,
    c_0_539,
    [final] ).

cnf(c_0_686,plain,
    lhs_atom44,
    c_0_540,
    [final] ).

cnf(c_0_687,plain,
    lhs_atom43,
    c_0_541,
    [final] ).

cnf(c_0_688,plain,
    lhs_atom42,
    c_0_542,
    [final] ).

cnf(c_0_689,plain,
    lhs_atom41,
    c_0_543,
    [final] ).

cnf(c_0_690,plain,
    lhs_atom40,
    c_0_544,
    [final] ).

cnf(c_0_691,plain,
    lhs_atom39,
    c_0_545,
    [final] ).

cnf(c_0_692,plain,
    lhs_atom38,
    c_0_546,
    [final] ).

cnf(c_0_693,plain,
    lhs_atom37,
    c_0_547,
    [final] ).

cnf(c_0_694,plain,
    lhs_atom36,
    c_0_548,
    [final] ).

cnf(c_0_695,plain,
    lhs_atom35,
    c_0_549,
    [final] ).

cnf(c_0_696,plain,
    lhs_atom34,
    c_0_550,
    [final] ).

cnf(c_0_697,plain,
    lhs_atom33,
    c_0_551,
    [final] ).

cnf(c_0_698,plain,
    lhs_atom32,
    c_0_552,
    [final] ).

cnf(c_0_699,plain,
    lhs_atom31,
    c_0_553,
    [final] ).

cnf(c_0_700,plain,
    lhs_atom30,
    c_0_554,
    [final] ).

cnf(c_0_701,plain,
    lhs_atom29,
    c_0_555,
    [final] ).

cnf(c_0_702,plain,
    lhs_atom28,
    c_0_556,
    [final] ).

cnf(c_0_703,plain,
    lhs_atom27,
    c_0_557,
    [final] ).

cnf(c_0_704,plain,
    lhs_atom26,
    c_0_558,
    [final] ).

cnf(c_0_705,plain,
    lhs_atom25,
    c_0_559,
    [final] ).

cnf(c_0_706,plain,
    lhs_atom24,
    c_0_560,
    [final] ).

cnf(c_0_707,plain,
    lhs_atom23,
    c_0_561,
    [final] ).

cnf(c_0_708,plain,
    lhs_atom22,
    c_0_562,
    [final] ).

cnf(c_0_709,plain,
    lhs_atom21,
    c_0_563,
    [final] ).

cnf(c_0_710,plain,
    lhs_atom20,
    c_0_564,
    [final] ).

cnf(c_0_711,plain,
    lhs_atom19,
    c_0_565,
    [final] ).

cnf(c_0_712,plain,
    lhs_atom18,
    c_0_566,
    [final] ).

cnf(c_0_713,plain,
    lhs_atom17,
    c_0_567,
    [final] ).

cnf(c_0_714,plain,
    lhs_atom16,
    c_0_568,
    [final] ).

cnf(c_0_715,plain,
    lhs_atom15,
    c_0_569,
    [final] ).

cnf(c_0_716,plain,
    lhs_atom14,
    c_0_570,
    [final] ).

cnf(c_0_717,plain,
    lhs_atom13,
    c_0_571,
    [final] ).

cnf(c_0_718,plain,
    lhs_atom12,
    c_0_572,
    [final] ).

cnf(c_0_719,plain,
    lhs_atom11,
    c_0_573,
    [final] ).

cnf(c_0_720,plain,
    lhs_atom10,
    c_0_574,
    [final] ).

cnf(c_0_721,plain,
    lhs_atom9,
    c_0_575,
    [final] ).

cnf(c_0_722,plain,
    lhs_atom8,
    c_0_576,
    [final] ).

cnf(c_0_723,plain,
    lhs_atom7,
    c_0_577,
    [final] ).

cnf(c_0_724,plain,
    lhs_atom6,
    c_0_578,
    [final] ).

cnf(c_0_725,plain,
    lhs_atom5,
    c_0_579,
    [final] ).

cnf(c_0_726,plain,
    lhs_atom4,
    c_0_580,
    [final] ).

cnf(c_0_727,plain,
    lhs_atom3,
    c_0_581,
    [final] ).

cnf(c_0_728,plain,
    lhs_atom2,
    c_0_582,
    [final] ).

cnf(c_0_729,plain,
    lhs_atom1,
    c_0_583,
    [final] ).

% End CNF derivation
cnf(c_0_584_0,axiom,
    ( inv(e0) != e0
    | inv(e0) = e0 ),
    inference(unfold_definition,[status(thm)],[c_0_584,def_lhs_atom86]) ).

cnf(c_0_585_0,axiom,
    ( inv(e0) != e1
    | inv(e1) = e0 ),
    inference(unfold_definition,[status(thm)],[c_0_585,def_lhs_atom85]) ).

cnf(c_0_586_0,axiom,
    ( inv(e0) != e2
    | inv(e2) = e0 ),
    inference(unfold_definition,[status(thm)],[c_0_586,def_lhs_atom84]) ).

cnf(c_0_587_0,axiom,
    ( inv(e0) != e3
    | inv(e3) = e0 ),
    inference(unfold_definition,[status(thm)],[c_0_587,def_lhs_atom83]) ).

cnf(c_0_588_0,axiom,
    ( inv(e1) != e0
    | inv(e0) = e1 ),
    inference(unfold_definition,[status(thm)],[c_0_588,def_lhs_atom82]) ).

cnf(c_0_589_0,axiom,
    ( inv(e1) != e1
    | inv(e1) = e1 ),
    inference(unfold_definition,[status(thm)],[c_0_589,def_lhs_atom81]) ).

cnf(c_0_590_0,axiom,
    ( inv(e1) != e2
    | inv(e2) = e1 ),
    inference(unfold_definition,[status(thm)],[c_0_590,def_lhs_atom80]) ).

cnf(c_0_591_0,axiom,
    ( inv(e1) != e3
    | inv(e3) = e1 ),
    inference(unfold_definition,[status(thm)],[c_0_591,def_lhs_atom79]) ).

cnf(c_0_592_0,axiom,
    ( inv(e2) != e0
    | inv(e0) = e2 ),
    inference(unfold_definition,[status(thm)],[c_0_592,def_lhs_atom78]) ).

cnf(c_0_593_0,axiom,
    ( inv(e2) != e1
    | inv(e1) = e2 ),
    inference(unfold_definition,[status(thm)],[c_0_593,def_lhs_atom77]) ).

cnf(c_0_594_0,axiom,
    ( inv(e2) != e2
    | inv(e2) = e2 ),
    inference(unfold_definition,[status(thm)],[c_0_594,def_lhs_atom76]) ).

cnf(c_0_595_0,axiom,
    ( inv(e2) != e3
    | inv(e3) = e2 ),
    inference(unfold_definition,[status(thm)],[c_0_595,def_lhs_atom75]) ).

cnf(c_0_596_0,axiom,
    ( inv(e3) != e0
    | inv(e0) = e3 ),
    inference(unfold_definition,[status(thm)],[c_0_596,def_lhs_atom74]) ).

cnf(c_0_597_0,axiom,
    ( inv(e3) != e1
    | inv(e1) = e3 ),
    inference(unfold_definition,[status(thm)],[c_0_597,def_lhs_atom73]) ).

cnf(c_0_598_0,axiom,
    ( inv(e3) != e2
    | inv(e2) = e3 ),
    inference(unfold_definition,[status(thm)],[c_0_598,def_lhs_atom72]) ).

cnf(c_0_599_0,axiom,
    ( inv(e3) != e3
    | inv(e3) = e3 ),
    inference(unfold_definition,[status(thm)],[c_0_599,def_lhs_atom71]) ).

cnf(c_0_600_0,axiom,
    e0 != e1,
    inference(unfold_definition,[status(thm)],[c_0_600,def_lhs_atom146]) ).

cnf(c_0_601_0,axiom,
    e0 != e2,
    inference(unfold_definition,[status(thm)],[c_0_601,def_lhs_atom145]) ).

cnf(c_0_602_0,axiom,
    e0 != e3,
    inference(unfold_definition,[status(thm)],[c_0_602,def_lhs_atom144]) ).

cnf(c_0_603_0,axiom,
    e1 != e2,
    inference(unfold_definition,[status(thm)],[c_0_603,def_lhs_atom143]) ).

cnf(c_0_604_0,axiom,
    e1 != e3,
    inference(unfold_definition,[status(thm)],[c_0_604,def_lhs_atom142]) ).

cnf(c_0_605_0,axiom,
    e2 != e3,
    inference(unfold_definition,[status(thm)],[c_0_605,def_lhs_atom141]) ).

cnf(c_0_606_0,axiom,
    op(e0,e0) != op(e1,e0),
    inference(unfold_definition,[status(thm)],[c_0_606,def_lhs_atom140]) ).

cnf(c_0_607_0,axiom,
    op(e0,e0) != op(e2,e0),
    inference(unfold_definition,[status(thm)],[c_0_607,def_lhs_atom139]) ).

cnf(c_0_608_0,axiom,
    op(e0,e0) != op(e3,e0),
    inference(unfold_definition,[status(thm)],[c_0_608,def_lhs_atom138]) ).

cnf(c_0_609_0,axiom,
    op(e1,e0) != op(e2,e0),
    inference(unfold_definition,[status(thm)],[c_0_609,def_lhs_atom137]) ).

cnf(c_0_610_0,axiom,
    op(e1,e0) != op(e3,e0),
    inference(unfold_definition,[status(thm)],[c_0_610,def_lhs_atom136]) ).

cnf(c_0_611_0,axiom,
    op(e2,e0) != op(e3,e0),
    inference(unfold_definition,[status(thm)],[c_0_611,def_lhs_atom135]) ).

cnf(c_0_612_0,axiom,
    op(e0,e1) != op(e1,e1),
    inference(unfold_definition,[status(thm)],[c_0_612,def_lhs_atom134]) ).

cnf(c_0_613_0,axiom,
    op(e0,e1) != op(e2,e1),
    inference(unfold_definition,[status(thm)],[c_0_613,def_lhs_atom133]) ).

cnf(c_0_614_0,axiom,
    op(e0,e1) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_614,def_lhs_atom132]) ).

cnf(c_0_615_0,axiom,
    op(e1,e1) != op(e2,e1),
    inference(unfold_definition,[status(thm)],[c_0_615,def_lhs_atom131]) ).

cnf(c_0_616_0,axiom,
    op(e1,e1) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_616,def_lhs_atom130]) ).

cnf(c_0_617_0,axiom,
    op(e2,e1) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_617,def_lhs_atom129]) ).

cnf(c_0_618_0,axiom,
    op(e0,e2) != op(e1,e2),
    inference(unfold_definition,[status(thm)],[c_0_618,def_lhs_atom128]) ).

cnf(c_0_619_0,axiom,
    op(e0,e2) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_619,def_lhs_atom127]) ).

cnf(c_0_620_0,axiom,
    op(e0,e2) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_620,def_lhs_atom126]) ).

cnf(c_0_621_0,axiom,
    op(e1,e2) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_621,def_lhs_atom125]) ).

cnf(c_0_622_0,axiom,
    op(e1,e2) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_622,def_lhs_atom124]) ).

cnf(c_0_623_0,axiom,
    op(e2,e2) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_623,def_lhs_atom123]) ).

cnf(c_0_624_0,axiom,
    op(e0,e3) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_624,def_lhs_atom122]) ).

cnf(c_0_625_0,axiom,
    op(e0,e3) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_625,def_lhs_atom121]) ).

cnf(c_0_626_0,axiom,
    op(e0,e3) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_626,def_lhs_atom120]) ).

cnf(c_0_627_0,axiom,
    op(e1,e3) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_627,def_lhs_atom119]) ).

cnf(c_0_628_0,axiom,
    op(e1,e3) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_628,def_lhs_atom118]) ).

cnf(c_0_629_0,axiom,
    op(e2,e3) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_629,def_lhs_atom117]) ).

cnf(c_0_630_0,axiom,
    op(e0,e0) != op(e0,e1),
    inference(unfold_definition,[status(thm)],[c_0_630,def_lhs_atom116]) ).

cnf(c_0_631_0,axiom,
    op(e0,e0) != op(e0,e2),
    inference(unfold_definition,[status(thm)],[c_0_631,def_lhs_atom115]) ).

cnf(c_0_632_0,axiom,
    op(e0,e0) != op(e0,e3),
    inference(unfold_definition,[status(thm)],[c_0_632,def_lhs_atom114]) ).

cnf(c_0_633_0,axiom,
    op(e0,e1) != op(e0,e2),
    inference(unfold_definition,[status(thm)],[c_0_633,def_lhs_atom113]) ).

cnf(c_0_634_0,axiom,
    op(e0,e1) != op(e0,e3),
    inference(unfold_definition,[status(thm)],[c_0_634,def_lhs_atom112]) ).

cnf(c_0_635_0,axiom,
    op(e0,e2) != op(e0,e3),
    inference(unfold_definition,[status(thm)],[c_0_635,def_lhs_atom111]) ).

cnf(c_0_636_0,axiom,
    op(e1,e0) != op(e1,e1),
    inference(unfold_definition,[status(thm)],[c_0_636,def_lhs_atom110]) ).

cnf(c_0_637_0,axiom,
    op(e1,e0) != op(e1,e2),
    inference(unfold_definition,[status(thm)],[c_0_637,def_lhs_atom109]) ).

cnf(c_0_638_0,axiom,
    op(e1,e0) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_638,def_lhs_atom108]) ).

cnf(c_0_639_0,axiom,
    op(e1,e1) != op(e1,e2),
    inference(unfold_definition,[status(thm)],[c_0_639,def_lhs_atom107]) ).

cnf(c_0_640_0,axiom,
    op(e1,e1) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_640,def_lhs_atom106]) ).

cnf(c_0_641_0,axiom,
    op(e1,e2) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_641,def_lhs_atom105]) ).

cnf(c_0_642_0,axiom,
    op(e2,e0) != op(e2,e1),
    inference(unfold_definition,[status(thm)],[c_0_642,def_lhs_atom104]) ).

cnf(c_0_643_0,axiom,
    op(e2,e0) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_643,def_lhs_atom103]) ).

cnf(c_0_644_0,axiom,
    op(e2,e0) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_644,def_lhs_atom102]) ).

cnf(c_0_645_0,axiom,
    op(e2,e1) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_645,def_lhs_atom101]) ).

cnf(c_0_646_0,axiom,
    op(e2,e1) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_646,def_lhs_atom100]) ).

cnf(c_0_647_0,axiom,
    op(e2,e2) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_647,def_lhs_atom99]) ).

cnf(c_0_648_0,axiom,
    op(e3,e0) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_648,def_lhs_atom98]) ).

cnf(c_0_649_0,axiom,
    op(e3,e0) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_649,def_lhs_atom97]) ).

cnf(c_0_650_0,axiom,
    op(e3,e0) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_650,def_lhs_atom96]) ).

cnf(c_0_651_0,axiom,
    op(e3,e1) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_651,def_lhs_atom95]) ).

cnf(c_0_652_0,axiom,
    op(e3,e1) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_652,def_lhs_atom94]) ).

cnf(c_0_653_0,axiom,
    op(e3,e2) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_653,def_lhs_atom93]) ).

cnf(c_0_654_0,axiom,
    inv(e0) != inv(e1),
    inference(unfold_definition,[status(thm)],[c_0_654,def_lhs_atom92]) ).

cnf(c_0_655_0,axiom,
    inv(e0) != inv(e2),
    inference(unfold_definition,[status(thm)],[c_0_655,def_lhs_atom91]) ).

cnf(c_0_656_0,axiom,
    inv(e0) != inv(e3),
    inference(unfold_definition,[status(thm)],[c_0_656,def_lhs_atom90]) ).

cnf(c_0_657_0,axiom,
    inv(e1) != inv(e2),
    inference(unfold_definition,[status(thm)],[c_0_657,def_lhs_atom89]) ).

cnf(c_0_658_0,axiom,
    inv(e1) != inv(e3),
    inference(unfold_definition,[status(thm)],[c_0_658,def_lhs_atom88]) ).

cnf(c_0_659_0,axiom,
    inv(e2) != inv(e3),
    inference(unfold_definition,[status(thm)],[c_0_659,def_lhs_atom87]) ).

cnf(c_0_660_0,axiom,
    inv(inv(e0)) = e0,
    inference(unfold_definition,[status(thm)],[c_0_660,def_lhs_atom70]) ).

cnf(c_0_661_0,axiom,
    inv(inv(e1)) = e1,
    inference(unfold_definition,[status(thm)],[c_0_661,def_lhs_atom69]) ).

cnf(c_0_662_0,axiom,
    inv(inv(e2)) = e2,
    inference(unfold_definition,[status(thm)],[c_0_662,def_lhs_atom68]) ).

cnf(c_0_663_0,axiom,
    inv(inv(e3)) = e3,
    inference(unfold_definition,[status(thm)],[c_0_663,def_lhs_atom67]) ).

cnf(c_0_664_0,axiom,
    inv(unit) = unit,
    inference(unfold_definition,[status(thm)],[c_0_664,def_lhs_atom66]) ).

cnf(c_0_665_0,axiom,
    unit = e0,
    inference(unfold_definition,[status(thm)],[c_0_665,def_lhs_atom65]) ).

cnf(c_0_666_0,axiom,
    op(op(e0,e0),e0) = op(e0,op(e0,e0)),
    inference(unfold_definition,[status(thm)],[c_0_666,def_lhs_atom64]) ).

cnf(c_0_667_0,axiom,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    inference(unfold_definition,[status(thm)],[c_0_667,def_lhs_atom63]) ).

cnf(c_0_668_0,axiom,
    op(op(e0,e0),e2) = op(e0,op(e0,e2)),
    inference(unfold_definition,[status(thm)],[c_0_668,def_lhs_atom62]) ).

cnf(c_0_669_0,axiom,
    op(op(e0,e0),e3) = op(e0,op(e0,e3)),
    inference(unfold_definition,[status(thm)],[c_0_669,def_lhs_atom61]) ).

cnf(c_0_670_0,axiom,
    op(op(e0,e1),e0) = op(e0,op(e1,e0)),
    inference(unfold_definition,[status(thm)],[c_0_670,def_lhs_atom60]) ).

cnf(c_0_671_0,axiom,
    op(op(e0,e1),e1) = op(e0,op(e1,e1)),
    inference(unfold_definition,[status(thm)],[c_0_671,def_lhs_atom59]) ).

cnf(c_0_672_0,axiom,
    op(op(e0,e1),e2) = op(e0,op(e1,e2)),
    inference(unfold_definition,[status(thm)],[c_0_672,def_lhs_atom58]) ).

cnf(c_0_673_0,axiom,
    op(op(e0,e1),e3) = op(e0,op(e1,e3)),
    inference(unfold_definition,[status(thm)],[c_0_673,def_lhs_atom57]) ).

cnf(c_0_674_0,axiom,
    op(op(e0,e2),e0) = op(e0,op(e2,e0)),
    inference(unfold_definition,[status(thm)],[c_0_674,def_lhs_atom56]) ).

cnf(c_0_675_0,axiom,
    op(op(e0,e2),e1) = op(e0,op(e2,e1)),
    inference(unfold_definition,[status(thm)],[c_0_675,def_lhs_atom55]) ).

cnf(c_0_676_0,axiom,
    op(op(e0,e2),e2) = op(e0,op(e2,e2)),
    inference(unfold_definition,[status(thm)],[c_0_676,def_lhs_atom54]) ).

cnf(c_0_677_0,axiom,
    op(op(e0,e2),e3) = op(e0,op(e2,e3)),
    inference(unfold_definition,[status(thm)],[c_0_677,def_lhs_atom53]) ).

cnf(c_0_678_0,axiom,
    op(op(e0,e3),e0) = op(e0,op(e3,e0)),
    inference(unfold_definition,[status(thm)],[c_0_678,def_lhs_atom52]) ).

cnf(c_0_679_0,axiom,
    op(op(e0,e3),e1) = op(e0,op(e3,e1)),
    inference(unfold_definition,[status(thm)],[c_0_679,def_lhs_atom51]) ).

cnf(c_0_680_0,axiom,
    op(op(e0,e3),e2) = op(e0,op(e3,e2)),
    inference(unfold_definition,[status(thm)],[c_0_680,def_lhs_atom50]) ).

cnf(c_0_681_0,axiom,
    op(op(e0,e3),e3) = op(e0,op(e3,e3)),
    inference(unfold_definition,[status(thm)],[c_0_681,def_lhs_atom49]) ).

cnf(c_0_682_0,axiom,
    op(op(e1,e0),e0) = op(e1,op(e0,e0)),
    inference(unfold_definition,[status(thm)],[c_0_682,def_lhs_atom48]) ).

cnf(c_0_683_0,axiom,
    op(op(e1,e0),e1) = op(e1,op(e0,e1)),
    inference(unfold_definition,[status(thm)],[c_0_683,def_lhs_atom47]) ).

cnf(c_0_684_0,axiom,
    op(op(e1,e0),e2) = op(e1,op(e0,e2)),
    inference(unfold_definition,[status(thm)],[c_0_684,def_lhs_atom46]) ).

cnf(c_0_685_0,axiom,
    op(op(e1,e0),e3) = op(e1,op(e0,e3)),
    inference(unfold_definition,[status(thm)],[c_0_685,def_lhs_atom45]) ).

cnf(c_0_686_0,axiom,
    op(op(e1,e1),e0) = op(e1,op(e1,e0)),
    inference(unfold_definition,[status(thm)],[c_0_686,def_lhs_atom44]) ).

cnf(c_0_687_0,axiom,
    op(op(e1,e1),e1) = op(e1,op(e1,e1)),
    inference(unfold_definition,[status(thm)],[c_0_687,def_lhs_atom43]) ).

cnf(c_0_688_0,axiom,
    op(op(e1,e1),e2) = op(e1,op(e1,e2)),
    inference(unfold_definition,[status(thm)],[c_0_688,def_lhs_atom42]) ).

cnf(c_0_689_0,axiom,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    inference(unfold_definition,[status(thm)],[c_0_689,def_lhs_atom41]) ).

cnf(c_0_690_0,axiom,
    op(op(e1,e2),e0) = op(e1,op(e2,e0)),
    inference(unfold_definition,[status(thm)],[c_0_690,def_lhs_atom40]) ).

cnf(c_0_691_0,axiom,
    op(op(e1,e2),e1) = op(e1,op(e2,e1)),
    inference(unfold_definition,[status(thm)],[c_0_691,def_lhs_atom39]) ).

cnf(c_0_692_0,axiom,
    op(op(e1,e2),e2) = op(e1,op(e2,e2)),
    inference(unfold_definition,[status(thm)],[c_0_692,def_lhs_atom38]) ).

cnf(c_0_693_0,axiom,
    op(op(e1,e2),e3) = op(e1,op(e2,e3)),
    inference(unfold_definition,[status(thm)],[c_0_693,def_lhs_atom37]) ).

cnf(c_0_694_0,axiom,
    op(op(e1,e3),e0) = op(e1,op(e3,e0)),
    inference(unfold_definition,[status(thm)],[c_0_694,def_lhs_atom36]) ).

cnf(c_0_695_0,axiom,
    op(op(e1,e3),e1) = op(e1,op(e3,e1)),
    inference(unfold_definition,[status(thm)],[c_0_695,def_lhs_atom35]) ).

cnf(c_0_696_0,axiom,
    op(op(e1,e3),e2) = op(e1,op(e3,e2)),
    inference(unfold_definition,[status(thm)],[c_0_696,def_lhs_atom34]) ).

cnf(c_0_697_0,axiom,
    op(op(e1,e3),e3) = op(e1,op(e3,e3)),
    inference(unfold_definition,[status(thm)],[c_0_697,def_lhs_atom33]) ).

cnf(c_0_698_0,axiom,
    op(op(e2,e0),e0) = op(e2,op(e0,e0)),
    inference(unfold_definition,[status(thm)],[c_0_698,def_lhs_atom32]) ).

cnf(c_0_699_0,axiom,
    op(op(e2,e0),e1) = op(e2,op(e0,e1)),
    inference(unfold_definition,[status(thm)],[c_0_699,def_lhs_atom31]) ).

cnf(c_0_700_0,axiom,
    op(op(e2,e0),e2) = op(e2,op(e0,e2)),
    inference(unfold_definition,[status(thm)],[c_0_700,def_lhs_atom30]) ).

cnf(c_0_701_0,axiom,
    op(op(e2,e0),e3) = op(e2,op(e0,e3)),
    inference(unfold_definition,[status(thm)],[c_0_701,def_lhs_atom29]) ).

cnf(c_0_702_0,axiom,
    op(op(e2,e1),e0) = op(e2,op(e1,e0)),
    inference(unfold_definition,[status(thm)],[c_0_702,def_lhs_atom28]) ).

cnf(c_0_703_0,axiom,
    op(op(e2,e1),e1) = op(e2,op(e1,e1)),
    inference(unfold_definition,[status(thm)],[c_0_703,def_lhs_atom27]) ).

cnf(c_0_704_0,axiom,
    op(op(e2,e1),e2) = op(e2,op(e1,e2)),
    inference(unfold_definition,[status(thm)],[c_0_704,def_lhs_atom26]) ).

cnf(c_0_705_0,axiom,
    op(op(e2,e1),e3) = op(e2,op(e1,e3)),
    inference(unfold_definition,[status(thm)],[c_0_705,def_lhs_atom25]) ).

cnf(c_0_706_0,axiom,
    op(op(e2,e2),e0) = op(e2,op(e2,e0)),
    inference(unfold_definition,[status(thm)],[c_0_706,def_lhs_atom24]) ).

cnf(c_0_707_0,axiom,
    op(op(e2,e2),e1) = op(e2,op(e2,e1)),
    inference(unfold_definition,[status(thm)],[c_0_707,def_lhs_atom23]) ).

cnf(c_0_708_0,axiom,
    op(op(e2,e2),e2) = op(e2,op(e2,e2)),
    inference(unfold_definition,[status(thm)],[c_0_708,def_lhs_atom22]) ).

cnf(c_0_709_0,axiom,
    op(op(e2,e2),e3) = op(e2,op(e2,e3)),
    inference(unfold_definition,[status(thm)],[c_0_709,def_lhs_atom21]) ).

cnf(c_0_710_0,axiom,
    op(op(e2,e3),e0) = op(e2,op(e3,e0)),
    inference(unfold_definition,[status(thm)],[c_0_710,def_lhs_atom20]) ).

cnf(c_0_711_0,axiom,
    op(op(e2,e3),e1) = op(e2,op(e3,e1)),
    inference(unfold_definition,[status(thm)],[c_0_711,def_lhs_atom19]) ).

cnf(c_0_712_0,axiom,
    op(op(e2,e3),e2) = op(e2,op(e3,e2)),
    inference(unfold_definition,[status(thm)],[c_0_712,def_lhs_atom18]) ).

cnf(c_0_713_0,axiom,
    op(op(e2,e3),e3) = op(e2,op(e3,e3)),
    inference(unfold_definition,[status(thm)],[c_0_713,def_lhs_atom17]) ).

cnf(c_0_714_0,axiom,
    op(op(e3,e0),e0) = op(e3,op(e0,e0)),
    inference(unfold_definition,[status(thm)],[c_0_714,def_lhs_atom16]) ).

cnf(c_0_715_0,axiom,
    op(op(e3,e0),e1) = op(e3,op(e0,e1)),
    inference(unfold_definition,[status(thm)],[c_0_715,def_lhs_atom15]) ).

cnf(c_0_716_0,axiom,
    op(op(e3,e0),e2) = op(e3,op(e0,e2)),
    inference(unfold_definition,[status(thm)],[c_0_716,def_lhs_atom14]) ).

cnf(c_0_717_0,axiom,
    op(op(e3,e0),e3) = op(e3,op(e0,e3)),
    inference(unfold_definition,[status(thm)],[c_0_717,def_lhs_atom13]) ).

cnf(c_0_718_0,axiom,
    op(op(e3,e1),e0) = op(e3,op(e1,e0)),
    inference(unfold_definition,[status(thm)],[c_0_718,def_lhs_atom12]) ).

cnf(c_0_719_0,axiom,
    op(op(e3,e1),e1) = op(e3,op(e1,e1)),
    inference(unfold_definition,[status(thm)],[c_0_719,def_lhs_atom11]) ).

cnf(c_0_720_0,axiom,
    op(op(e3,e1),e2) = op(e3,op(e1,e2)),
    inference(unfold_definition,[status(thm)],[c_0_720,def_lhs_atom10]) ).

cnf(c_0_721_0,axiom,
    op(op(e3,e1),e3) = op(e3,op(e1,e3)),
    inference(unfold_definition,[status(thm)],[c_0_721,def_lhs_atom9]) ).

cnf(c_0_722_0,axiom,
    op(op(e3,e2),e0) = op(e3,op(e2,e0)),
    inference(unfold_definition,[status(thm)],[c_0_722,def_lhs_atom8]) ).

cnf(c_0_723_0,axiom,
    op(op(e3,e2),e1) = op(e3,op(e2,e1)),
    inference(unfold_definition,[status(thm)],[c_0_723,def_lhs_atom7]) ).

cnf(c_0_724_0,axiom,
    op(op(e3,e2),e2) = op(e3,op(e2,e2)),
    inference(unfold_definition,[status(thm)],[c_0_724,def_lhs_atom6]) ).

cnf(c_0_725_0,axiom,
    op(op(e3,e2),e3) = op(e3,op(e2,e3)),
    inference(unfold_definition,[status(thm)],[c_0_725,def_lhs_atom5]) ).

cnf(c_0_726_0,axiom,
    op(op(e3,e3),e0) = op(e3,op(e3,e0)),
    inference(unfold_definition,[status(thm)],[c_0_726,def_lhs_atom4]) ).

cnf(c_0_727_0,axiom,
    op(op(e3,e3),e1) = op(e3,op(e3,e1)),
    inference(unfold_definition,[status(thm)],[c_0_727,def_lhs_atom3]) ).

cnf(c_0_728_0,axiom,
    op(op(e3,e3),e2) = op(e3,op(e3,e2)),
    inference(unfold_definition,[status(thm)],[c_0_728,def_lhs_atom2]) ).

cnf(c_0_729_0,axiom,
    op(op(e3,e3),e3) = op(e3,op(e3,e3)),
    inference(unfold_definition,[status(thm)],[c_0_729,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    file('<stdin>',ax1) ).

fof(c_0_1_002,axiom,
    ( op(e0,inv(e0)) = unit
    & op(inv(e0),e0) = unit
    & op(e1,inv(e1)) = unit
    & op(inv(e1),e1) = unit
    & op(e2,inv(e2)) = unit
    & op(inv(e2),e2) = unit
    & op(e3,inv(e3)) = unit
    & op(inv(e3),e3) = unit
    & ( inv(e0) = e0
      | inv(e0) = e1
      | inv(e0) = e2
      | inv(e0) = e3 )
    & ( inv(e1) = e0
      | inv(e1) = e1
      | inv(e1) = e2
      | inv(e1) = e3 )
    & ( inv(e2) = e0
      | inv(e2) = e1
      | inv(e2) = e2
      | inv(e2) = e3 )
    & ( inv(e3) = e0
      | inv(e3) = e1
      | inv(e3) = e2
      | inv(e3) = e3 ) ),
    file('<stdin>',ax4) ).

fof(c_0_2_003,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3 ) ),
    file('<stdin>',ax3) ).

fof(c_0_3_004,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    c_0_0 ).

fof(c_0_4_005,axiom,
    ( op(e0,inv(e0)) = unit
    & op(inv(e0),e0) = unit
    & op(e1,inv(e1)) = unit
    & op(inv(e1),e1) = unit
    & op(e2,inv(e2)) = unit
    & op(inv(e2),e2) = unit
    & op(e3,inv(e3)) = unit
    & op(inv(e3),e3) = unit
    & ( inv(e0) = e0
      | inv(e0) = e1
      | inv(e0) = e2
      | inv(e0) = e3 )
    & ( inv(e1) = e0
      | inv(e1) = e1
      | inv(e1) = e2
      | inv(e1) = e3 )
    & ( inv(e2) = e0
      | inv(e2) = e1
      | inv(e2) = e2
      | inv(e2) = e3 )
    & ( inv(e3) = e0
      | inv(e3) = e1
      | inv(e3) = e2
      | inv(e3) = e3 ) ),
    c_0_1 ).

fof(c_0_5_006,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3 ) ),
    c_0_2 ).

fof(c_0_6_007,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    c_0_3 ).

fof(c_0_7_008,axiom,
    ( op(e0,inv(e0)) = unit
    & op(inv(e0),e0) = unit
    & op(e1,inv(e1)) = unit
    & op(inv(e1),e1) = unit
    & op(e2,inv(e2)) = unit
    & op(inv(e2),e2) = unit
    & op(e3,inv(e3)) = unit
    & op(inv(e3),e3) = unit
    & ( inv(e0) = e0
      | inv(e0) = e1
      | inv(e0) = e2
      | inv(e0) = e3 )
    & ( inv(e1) = e0
      | inv(e1) = e1
      | inv(e1) = e2
      | inv(e1) = e3 )
    & ( inv(e2) = e0
      | inv(e2) = e1
      | inv(e2) = e2
      | inv(e2) = e3 )
    & ( inv(e3) = e0
      | inv(e3) = e1
      | inv(e3) = e2
      | inv(e3) = e3 ) ),
    c_0_4 ).

fof(c_0_8_009,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3 ) ),
    c_0_5 ).

cnf(c_0_9_010,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_011,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11_012,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12_013,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13_014,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14_015,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15_016,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16_017,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17_018,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18_019,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19_020,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20_021,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21_022,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22_023,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_23_024,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24_025,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25_026,plain,
    op(e0,inv(e0)) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26_027,plain,
    op(inv(e0),e0) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27_028,plain,
    op(e1,inv(e1)) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28_029,plain,
    op(inv(e1),e1) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_29_030,plain,
    op(e2,inv(e2)) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_30_031,plain,
    op(inv(e2),e2) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_31_032,plain,
    op(e3,inv(e3)) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32_033,plain,
    op(inv(e3),e3) = unit,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_33_034,plain,
    ( inv(e0) = e3
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_34_035,plain,
    ( inv(e1) = e3
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_35_036,plain,
    ( inv(e2) = e3
    | inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_36_037,plain,
    ( inv(e3) = e3
    | inv(e3) = e2
    | inv(e3) = e1
    | inv(e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37_038,plain,
    op(unit,e0) = e0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_38_039,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_39_040,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_40_041,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_41_042,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_42_043,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_43_044,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_44_045,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_45_046,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_46_047,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    c_0_9,
    [final] ).

cnf(c_0_47_048,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    c_0_10,
    [final] ).

cnf(c_0_48_049,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    c_0_11,
    [final] ).

cnf(c_0_49_050,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    c_0_12,
    [final] ).

cnf(c_0_50_051,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    c_0_13,
    [final] ).

cnf(c_0_51_052,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    c_0_14,
    [final] ).

cnf(c_0_52_053,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    c_0_15,
    [final] ).

cnf(c_0_53_054,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    c_0_16,
    [final] ).

cnf(c_0_54_055,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    c_0_17,
    [final] ).

cnf(c_0_55_056,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    c_0_18,
    [final] ).

cnf(c_0_56_057,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    c_0_19,
    [final] ).

cnf(c_0_57_058,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    c_0_20,
    [final] ).

cnf(c_0_58_059,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    c_0_21,
    [final] ).

cnf(c_0_59_060,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    c_0_22,
    [final] ).

cnf(c_0_60_061,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    c_0_23,
    [final] ).

cnf(c_0_61_062,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    c_0_24,
    [final] ).

cnf(c_0_62_063,plain,
    op(e0,inv(e0)) = unit,
    c_0_25,
    [final] ).

cnf(c_0_63_064,plain,
    op(inv(e0),e0) = unit,
    c_0_26,
    [final] ).

cnf(c_0_64_065,plain,
    op(e1,inv(e1)) = unit,
    c_0_27,
    [final] ).

cnf(c_0_65_066,plain,
    op(inv(e1),e1) = unit,
    c_0_28,
    [final] ).

cnf(c_0_66_067,plain,
    op(e2,inv(e2)) = unit,
    c_0_29,
    [final] ).

cnf(c_0_67_068,plain,
    op(inv(e2),e2) = unit,
    c_0_30,
    [final] ).

cnf(c_0_68_069,plain,
    op(e3,inv(e3)) = unit,
    c_0_31,
    [final] ).

cnf(c_0_69_070,plain,
    op(inv(e3),e3) = unit,
    c_0_32,
    [final] ).

cnf(c_0_70_071,plain,
    ( inv(e0) = e3
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    c_0_33,
    [final] ).

cnf(c_0_71_072,plain,
    ( inv(e1) = e3
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    c_0_34,
    [final] ).

cnf(c_0_72_073,plain,
    ( inv(e2) = e3
    | inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0 ),
    c_0_35,
    [final] ).

cnf(c_0_73_074,plain,
    ( inv(e3) = e3
    | inv(e3) = e2
    | inv(e3) = e1
    | inv(e3) = e0 ),
    c_0_36,
    [final] ).

cnf(c_0_74_075,plain,
    op(unit,e0) = e0,
    c_0_37,
    [final] ).

cnf(c_0_75_076,plain,
    op(e0,unit) = e0,
    c_0_38,
    [final] ).

cnf(c_0_76_077,plain,
    op(unit,e1) = e1,
    c_0_39,
    [final] ).

cnf(c_0_77_078,plain,
    op(e1,unit) = e1,
    c_0_40,
    [final] ).

cnf(c_0_78_079,plain,
    op(unit,e2) = e2,
    c_0_41,
    [final] ).

cnf(c_0_79_080,plain,
    op(e2,unit) = e2,
    c_0_42,
    [final] ).

cnf(c_0_80_081,plain,
    op(unit,e3) = e3,
    c_0_43,
    [final] ).

cnf(c_0_81_082,plain,
    op(e3,unit) = e3,
    c_0_44,
    [final] ).

cnf(c_0_82_083,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    c_0_45,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_46_0,axiom,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_1,axiom,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_2,axiom,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_3,axiom,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_47_0,axiom,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_1,axiom,
    ( op(e0,e1) = e2
    | op(e0,e1) = e3
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_2,axiom,
    ( op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_3,axiom,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_48_0,axiom,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_1,axiom,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_2,axiom,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_3,axiom,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_49_0,axiom,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_1,axiom,
    ( op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_2,axiom,
    ( op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_3,axiom,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_50_0,axiom,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_50_1,axiom,
    ( op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_50_2,axiom,
    ( op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_50_3,axiom,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_51_0,axiom,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_51_1,axiom,
    ( op(e1,e1) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_51_2,axiom,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_51_3,axiom,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_52_0,axiom,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_1,axiom,
    ( op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_2,axiom,
    ( op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_3,axiom,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_53_0,axiom,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_1,axiom,
    ( op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_2,axiom,
    ( op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_3,axiom,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_54_0,axiom,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_1,axiom,
    ( op(e2,e0) = e2
    | op(e2,e0) = e3
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_2,axiom,
    ( op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_3,axiom,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_55_0,axiom,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_1,axiom,
    ( op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_2,axiom,
    ( op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_3,axiom,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_56_0,axiom,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_56_1,axiom,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_56_2,axiom,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_56_3,axiom,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_57_0,axiom,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_57_1,axiom,
    ( op(e2,e3) = e2
    | op(e2,e3) = e3
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_57_2,axiom,
    ( op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | op(e2,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_57_3,axiom,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_58_0,axiom,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_58_1,axiom,
    ( op(e3,e0) = e2
    | op(e3,e0) = e3
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_58_2,axiom,
    ( op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_58_3,axiom,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_59_0,axiom,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_59]) ).

cnf(c_0_59_1,axiom,
    ( op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_59]) ).

cnf(c_0_59_2,axiom,
    ( op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e3,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_59]) ).

cnf(c_0_59_3,axiom,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_59]) ).

cnf(c_0_60_0,axiom,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_60]) ).

cnf(c_0_60_1,axiom,
    ( op(e3,e2) = e2
    | op(e3,e2) = e3
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_60]) ).

cnf(c_0_60_2,axiom,
    ( op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3
    | op(e3,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_60]) ).

cnf(c_0_60_3,axiom,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_60]) ).

cnf(c_0_61_0,axiom,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_1,axiom,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_2,axiom,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_3,axiom,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_70_0,axiom,
    ( inv(e0) = e3
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_1,axiom,
    ( inv(e0) = e2
    | inv(e0) = e3
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_2,axiom,
    ( inv(e0) = e1
    | inv(e0) = e2
    | inv(e0) = e3
    | inv(e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_3,axiom,
    ( inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2
    | inv(e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_71_0,axiom,
    ( inv(e1) = e3
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_1,axiom,
    ( inv(e1) = e2
    | inv(e1) = e3
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_2,axiom,
    ( inv(e1) = e1
    | inv(e1) = e2
    | inv(e1) = e3
    | inv(e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_3,axiom,
    ( inv(e1) = e0
    | inv(e1) = e1
    | inv(e1) = e2
    | inv(e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_72_0,axiom,
    ( inv(e2) = e3
    | inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_1,axiom,
    ( inv(e2) = e2
    | inv(e2) = e3
    | inv(e2) = e1
    | inv(e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_2,axiom,
    ( inv(e2) = e1
    | inv(e2) = e2
    | inv(e2) = e3
    | inv(e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_3,axiom,
    ( inv(e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2
    | inv(e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_73_0,axiom,
    ( inv(e3) = e3
    | inv(e3) = e2
    | inv(e3) = e1
    | inv(e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_1,axiom,
    ( inv(e3) = e2
    | inv(e3) = e3
    | inv(e3) = e1
    | inv(e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_2,axiom,
    ( inv(e3) = e1
    | inv(e3) = e2
    | inv(e3) = e3
    | inv(e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_3,axiom,
    ( inv(e3) = e0
    | inv(e3) = e1
    | inv(e3) = e2
    | inv(e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_82_0,axiom,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_1,axiom,
    ( unit = e2
    | unit = e3
    | unit = e1
    | unit = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_2,axiom,
    ( unit = e1
    | unit = e2
    | unit = e3
    | unit = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_3,axiom,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_62_0,axiom,
    op(e0,inv(e0)) = unit,
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_63_0,axiom,
    op(inv(e0),e0) = unit,
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_64_0,axiom,
    op(e1,inv(e1)) = unit,
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_65_0,axiom,
    op(inv(e1),e1) = unit,
    inference(literals_permutation,[status(thm)],[c_0_65]) ).

cnf(c_0_66_0,axiom,
    op(e2,inv(e2)) = unit,
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_67_0,axiom,
    op(inv(e2),e2) = unit,
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_68_0,axiom,
    op(e3,inv(e3)) = unit,
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_69_0,axiom,
    op(inv(e3),e3) = unit,
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_74_0,axiom,
    op(unit,e0) = e0,
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_75_0,axiom,
    op(e0,unit) = e0,
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_76_0,axiom,
    op(unit,e1) = e1,
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_77_0,axiom,
    op(e1,unit) = e1,
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_78_0,axiom,
    op(unit,e2) = e2,
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_79_0,axiom,
    op(e2,unit) = e2,
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_80_0,axiom,
    op(unit,e3) = e3,
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_81_0,axiom,
    op(e3,unit) = e3,
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_084,conjecture,
    ( ( op(e0,e0) = e0
      & op(e1,e1) = e0
      & op(e2,e2) = e0
      & op(e3,e3) = e0 )
    | ( op(e0,e0) = e1
      & op(e1,e1) = e1
      & op(e2,e2) = e1
      & op(e3,e3) = e1 )
    | ( op(e0,e0) = e2
      & op(e1,e1) = e2
      & op(e2,e2) = e2
      & op(e3,e3) = e2 )
    | ( op(e0,e0) = e3
      & op(e1,e1) = e3
      & op(e2,e2) = e3
      & op(e3,e3) = e3 )
    | ~ ( ( op(e0,e0) = e0
          & op(e1,e1) = e0
          & op(e2,e2) = e0
          & op(e3,e3) = e0 )
        | ( op(e0,e0) = e1
          & op(e1,e1) = e1
          & op(e2,e2) = e1
          & op(e3,e3) = e1 )
        | ( op(e0,e0) = e2
          & op(e1,e1) = e2
          & op(e2,e2) = e2
          & op(e3,e3) = e2 )
        | ( op(e0,e0) = e3
          & op(e1,e1) = e3
          & op(e2,e2) = e3
          & op(e3,e3) = e3 ) ) ),
    file('<stdin>',co1) ).

fof(c_0_1_085,plain,
    ( epred1_0
  <=> ( ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 ) ) ),
    introduced(definition) ).

fof(c_0_2_086,negated_conjecture,
    ~ ( ( op(e0,e0) = e0
        & op(e1,e1) = e0
        & op(e2,e2) = e0
        & op(e3,e3) = e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 )
      | ~ ( ( op(e0,e0) = e0
            & op(e1,e1) = e0
            & op(e2,e2) = e0
            & op(e3,e3) = e0 )
          | epred1_0 ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0]),c_0_1,theory(equality,[symmetry])]) ).

fof(c_0_3_087,plain,
    ( epred1_0
   => ( ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_4_088,negated_conjecture,
    ( ( op(e0,e0) != e0
      | op(e1,e1) != e0
      | op(e2,e2) != e0
      | op(e3,e3) != e0 )
    & ( op(e0,e0) != e1
      | op(e1,e1) != e1
      | op(e2,e2) != e1
      | op(e3,e3) != e1 )
    & ( op(e0,e0) != e2
      | op(e1,e1) != e2
      | op(e2,e2) != e2
      | op(e3,e3) != e2 )
    & ( op(e0,e0) != e3
      | op(e1,e1) != e3
      | op(e2,e2) != e3
      | op(e3,e3) != e3 )
    & ( op(e0,e0) = e0
      | epred1_0 )
    & ( op(e1,e1) = e0
      | epred1_0 )
    & ( op(e2,e2) = e0
      | epred1_0 )
    & ( op(e3,e3) = e0
      | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_5_089,plain,
    ( ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_6_090,negated_conjecture,
    ( op(e3,e3) != e0
    | op(e2,e2) != e0
    | op(e1,e1) != e0
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_091,negated_conjecture,
    ( op(e3,e3) != e1
    | op(e2,e2) != e1
    | op(e1,e1) != e1
    | op(e0,e0) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8_092,negated_conjecture,
    ( op(e3,e3) != e2
    | op(e2,e2) != e2
    | op(e1,e1) != e2
    | op(e0,e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9_093,negated_conjecture,
    ( op(e3,e3) != e3
    | op(e2,e2) != e3
    | op(e1,e1) != e3
    | op(e0,e0) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10_094,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11_095,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12_096,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13_097,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14_098,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15_099,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16_100,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17_101,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18_102,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19_103,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20_104,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_21_105,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_22_106,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_23_107,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_24_108,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_25_109,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_26_110,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_27_111,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_28_112,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_29_113,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_30_114,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_31_115,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_32_116,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_33_117,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_34_118,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_35_119,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_36_120,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_37_121,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_38_122,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_39_123,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_40_124,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_41_125,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_42_126,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_43_127,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_44_128,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_45_129,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_46_130,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_47_131,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_48_132,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_49_133,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_50_134,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_51_135,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_52_136,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_53_137,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_54_138,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_55_139,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_56_140,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_57_141,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_58_142,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_59_143,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_60_144,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_61_145,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_62_146,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_63_147,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_64_148,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_65_149,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_66_150,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_67_151,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_68_152,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_69_153,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_70_154,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_71_155,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_72_156,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_73_157,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_74_158,negated_conjecture,
    ( epred1_0
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_75_159,negated_conjecture,
    ( epred1_0
    | op(e1,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_76_160,negated_conjecture,
    ( epred1_0
    | op(e2,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_77_161,negated_conjecture,
    ( epred1_0
    | op(e3,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_78_162,negated_conjecture,
    ( op(e3,e3) != e0
    | op(e2,e2) != e0
    | op(e1,e1) != e0
    | op(e0,e0) != e0 ),
    c_0_6,
    [final] ).

cnf(c_0_79_163,negated_conjecture,
    ( op(e3,e3) != e1
    | op(e2,e2) != e1
    | op(e1,e1) != e1
    | op(e0,e0) != e1 ),
    c_0_7,
    [final] ).

cnf(c_0_80_164,negated_conjecture,
    ( op(e3,e3) != e2
    | op(e2,e2) != e2
    | op(e1,e1) != e2
    | op(e0,e0) != e2 ),
    c_0_8,
    [final] ).

cnf(c_0_81_165,negated_conjecture,
    ( op(e3,e3) != e3
    | op(e2,e2) != e3
    | op(e1,e1) != e3
    | op(e0,e0) != e3 ),
    c_0_9,
    [final] ).

cnf(c_0_82_166,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_10,
    [final] ).

cnf(c_0_83_167,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_11,
    [final] ).

cnf(c_0_84_168,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_12,
    [final] ).

cnf(c_0_85_169,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_13,
    [final] ).

cnf(c_0_86_170,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_14,
    [final] ).

cnf(c_0_87_171,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_15,
    [final] ).

cnf(c_0_88_172,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_16,
    [final] ).

cnf(c_0_89_173,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_17,
    [final] ).

cnf(c_0_90_174,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_18,
    [final] ).

cnf(c_0_91_175,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_19,
    [final] ).

cnf(c_0_92_176,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_20,
    [final] ).

cnf(c_0_93_177,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_21,
    [final] ).

cnf(c_0_94_178,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_22,
    [final] ).

cnf(c_0_95_179,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_23,
    [final] ).

cnf(c_0_96_180,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_24,
    [final] ).

cnf(c_0_97_181,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_25,
    [final] ).

cnf(c_0_98_182,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_26,
    [final] ).

cnf(c_0_99_183,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_27,
    [final] ).

cnf(c_0_100_184,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_28,
    [final] ).

cnf(c_0_101_185,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_29,
    [final] ).

cnf(c_0_102_186,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_30,
    [final] ).

cnf(c_0_103_187,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_31,
    [final] ).

cnf(c_0_104_188,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_32,
    [final] ).

cnf(c_0_105_189,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_33,
    [final] ).

cnf(c_0_106_190,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_34,
    [final] ).

cnf(c_0_107_191,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_35,
    [final] ).

cnf(c_0_108_192,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_36,
    [final] ).

cnf(c_0_109_193,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_37,
    [final] ).

cnf(c_0_110_194,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_38,
    [final] ).

cnf(c_0_111_195,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_39,
    [final] ).

cnf(c_0_112_196,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_40,
    [final] ).

cnf(c_0_113_197,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_41,
    [final] ).

cnf(c_0_114_198,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_42,
    [final] ).

cnf(c_0_115_199,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_43,
    [final] ).

cnf(c_0_116_200,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_44,
    [final] ).

cnf(c_0_117_201,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_45,
    [final] ).

cnf(c_0_118_202,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_46,
    [final] ).

cnf(c_0_119_203,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_47,
    [final] ).

cnf(c_0_120_204,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_48,
    [final] ).

cnf(c_0_121_205,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_49,
    [final] ).

cnf(c_0_122_206,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_50,
    [final] ).

cnf(c_0_123_207,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_51,
    [final] ).

cnf(c_0_124_208,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_52,
    [final] ).

cnf(c_0_125_209,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_53,
    [final] ).

cnf(c_0_126_210,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_54,
    [final] ).

cnf(c_0_127_211,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_55,
    [final] ).

cnf(c_0_128_212,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_56,
    [final] ).

cnf(c_0_129_213,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_57,
    [final] ).

cnf(c_0_130_214,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_58,
    [final] ).

cnf(c_0_131_215,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_59,
    [final] ).

cnf(c_0_132_216,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_60,
    [final] ).

cnf(c_0_133_217,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_61,
    [final] ).

cnf(c_0_134_218,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_62,
    [final] ).

cnf(c_0_135_219,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_63,
    [final] ).

cnf(c_0_136_220,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_64,
    [final] ).

cnf(c_0_137_221,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_65,
    [final] ).

cnf(c_0_138_222,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_66,
    [final] ).

cnf(c_0_139_223,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_67,
    [final] ).

cnf(c_0_140_224,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_68,
    [final] ).

cnf(c_0_141_225,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_69,
    [final] ).

cnf(c_0_142_226,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_70,
    [final] ).

cnf(c_0_143_227,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_71,
    [final] ).

cnf(c_0_144_228,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_72,
    [final] ).

cnf(c_0_145_229,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_73,
    [final] ).

cnf(c_0_146_230,negated_conjecture,
    ( epred1_0
    | op(e0,e0) = e0 ),
    c_0_74,
    [final] ).

cnf(c_0_147_231,negated_conjecture,
    ( epred1_0
    | op(e1,e1) = e0 ),
    c_0_75,
    [final] ).

cnf(c_0_148_232,negated_conjecture,
    ( epred1_0
    | op(e2,e2) = e0 ),
    c_0_76,
    [final] ).

cnf(c_0_149_233,negated_conjecture,
    ( epred1_0
    | op(e3,e3) = e0 ),
    c_0_77,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_303,plain,
    ( ~ epred1_0
    | op(e3,e3) = e1
    | op(e1,e1) = e3
    | op(e1,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_135) ).

cnf(c_249,negated_conjecture,
    ( op(e0,e0) != e3
    | op(e3,e3) != e3
    | op(e2,e2) != e3
    | op(e1,e1) != e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_81) ).

cnf(c_248,negated_conjecture,
    ( op(e0,e0) != e2
    | op(e3,e3) != e2
    | op(e2,e2) != e2
    | op(e1,e1) != e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_80) ).

cnf(c_247,negated_conjecture,
    ( op(e0,e0) != e1
    | op(e3,e3) != e1
    | op(e2,e2) != e1
    | op(e1,e1) != e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_79) ).

cnf(c_297,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_129) ).

cnf(c_296,plain,
    ( ~ epred1_0
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_128) ).

cnf(c_295,plain,
    ( ~ epred1_0
    | op(e3,e3) = e2
    | op(e2,e2) = e1
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_127) ).

cnf(c_294,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e3,e3) = e2
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_126) ).

cnf(c_293,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_125) ).

cnf(c_290,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_122) ).

cnf(c_289,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e2,e2) = e1
    | op(e1,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_121) ).

cnf(c_286,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e2,e2) = e1
    | op(e1,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_118) ).

cnf(c_285,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_117) ).

cnf(c_284,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_116) ).

cnf(c_283,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e2,e2) = e1
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_115) ).

cnf(c_282,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e2,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_114) ).

cnf(c_281,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_113) ).

cnf(c_280,plain,
    ( ~ epred1_0
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_112) ).

cnf(c_279,plain,
    ( ~ epred1_0
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_111) ).

cnf(c_278,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e3,e3) = e2
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_110) ).

cnf(c_277,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_109) ).

cnf(c_274,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e2,e2) = e2
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_106) ).

cnf(c_273,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_105) ).

cnf(c_270,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_102) ).

cnf(c_269,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_101) ).

cnf(c_268,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_100) ).

cnf(c_267,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_99) ).

cnf(c_266,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e1,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_98) ).

cnf(c_265,plain,
    ( ~ epred1_0
    | op(e0,e0) = e1
    | op(e3,e3) = e3
    | op(e3,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_97) ).

cnf(c_264,plain,
    ( ~ epred1_0
    | op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_96) ).

cnf(c_263,plain,
    ( ~ epred1_0
    | op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_95) ).

cnf(c_262,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e3,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_94) ).

cnf(c_261,plain,
    ( ~ epred1_0
    | op(e0,e0) = e1
    | op(e3,e3) = e3
    | op(e2,e2) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_93) ).

cnf(c_258,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e2,e2) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_90) ).

cnf(c_257,plain,
    ( ~ epred1_0
    | op(e0,e0) = e1
    | op(e3,e3) = e3
    | op(e1,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_89) ).

cnf(c_254,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e1,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_86) ).

cnf(c_253,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e3,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_85) ).

cnf(c_252,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e2,e2) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_84) ).

cnf(c_251,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_83) ).

cnf(c_250,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_82) ).

cnf(c_317,negated_conjecture,
    ( epred1_0
    | op(e3,e3) = e0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_149) ).

cnf(c_318,negated_conjecture,
    epred1_0,
    inference(global_propositional_subsumption,[status(thm)],[c_317,c_318]) ).

cnf(c_308,plain,
    ( ~ epred1_0
    | op(e3,e3) = e1
    | op(e2,e2) = e3
    | op(e2,e2) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_140) ).

cnf(c_331,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2 ),
    inference(global_propositional_subsumption,[status(thm)],[c_308,c_331]) ).

cnf(c_307,plain,
    ( ~ epred1_0
    | op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_139) ).

cnf(c_332,plain,
    ( op(e2,e2) = e2
    | op(e1,e1) = e3 ),
    inference(global_propositional_subsumption,[status(thm)],[c_307,c_332]) ).

cnf(c_305,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e3,e3) = e1
    | op(e1,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_137) ).

cnf(c_301,plain,
    ( ~ epred1_0
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_133) ).

cnf(c_298,plain,
    ( ~ epred1_0
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e3,e3) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_130) ).

cnf(c_313,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_145) ).

cnf(c_326,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1 ),
    inference(global_propositional_subsumption,[status(thm)],[c_313,c_326]) ).

cnf(c_312,plain,
    ( ~ epred1_0
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e2,e2) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_144) ).

cnf(c_327,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e3 ),
    inference(global_propositional_subsumption,[status(thm)],[c_312,c_327]) ).

cnf(c_311,plain,
    ( ~ epred1_0
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_143) ).

cnf(c_328,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e3 ),
    inference(global_propositional_subsumption,[status(thm)],[c_311,c_328]) ).

cnf(c_309,plain,
    ( ~ epred1_0
    | op(e3,e3) = e3
    | op(e3,e3) = e1
    | op(e2,e2) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_141) ).

cnf(c_330,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2 ),
    inference(global_propositional_subsumption,[status(thm)],[c_309,c_330]) ).

cnf(c_334,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2 ),
    inference(global_propositional_subsumption,[status(thm)],[c_305,c_249,c_248,c_301,c_298,c_318,c_326,c_327,c_328,c_330,c_334]) ).

cnf(c_335,plain,
    op(e3,e3) = e1,
    inference(global_propositional_subsumption,[status(thm)],[c_334,c_249,c_248,c_301,c_298,c_318,c_326,c_327,c_328,c_330]) ).

cnf(c_304,plain,
    ( ~ epred1_0
    | op(e3,e3) = e1
    | op(e2,e2) = e3
    | op(e1,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_223654.p',c_0_136) ).

cnf(c_336,plain,
    ( op(e2,e2) = e3
    | op(e1,e1) = e2 ),
    inference(global_propositional_subsumption,[status(thm)],[c_304,c_336]) ).

cnf(c_337,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2 ),
    inference(global_propositional_subsumption,[status(thm)],[c_303,c_249,c_248,c_247,c_301,c_298,c_297,c_296,c_295,c_294,c_293,c_290,c_289,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_274,c_273,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_258,c_257,c_254,c_253,c_252,c_251,c_250,c_318,c_326,c_327,c_328,c_330,c_331,c_332,c_334,c_336,c_337]) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_337,c_336,c_335,c_332,c_331,c_318,c_250,c_251,c_252,c_253,c_254,c_257,c_258,c_261,c_262,c_263,c_264,c_265,c_266,c_267,c_268,c_269,c_270,c_273,c_274,c_277,c_278,c_279,c_280,c_281,c_282,c_283,c_284,c_285,c_286,c_289,c_290,c_293,c_294,c_295,c_296,c_297,c_247,c_248,c_249]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun  8 02:57:08 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.22/0.43  % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.43  % FOF problem with conjecture
% 0.22/0.43  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3ed18.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_223654.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_3683a4 | grep -v "SZS"
% 0.22/0.45  
% 0.22/0.45  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.45  
% 0.22/0.45  % 
% 0.22/0.45  % ------  iProver source info 
% 0.22/0.45  
% 0.22/0.45  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.45  % git: non_committed_changes: true
% 0.22/0.45  % git: last_make_outside_of_git: true
% 0.22/0.45  
% 0.22/0.45  % 
% 0.22/0.45  % ------ Input Options
% 0.22/0.45  
% 0.22/0.45  % --out_options                         all
% 0.22/0.45  % --tptp_safe_out                       true
% 0.22/0.45  % --problem_path                        ""
% 0.22/0.45  % --include_path                        ""
% 0.22/0.45  % --clausifier                          .//eprover
% 0.22/0.45  % --clausifier_options                  --tstp-format  
% 0.22/0.45  % --stdin                               false
% 0.22/0.45  % --dbg_backtrace                       false
% 0.22/0.45  % --dbg_dump_prop_clauses               false
% 0.22/0.45  % --dbg_dump_prop_clauses_file          -
% 0.22/0.45  % --dbg_out_stat                        false
% 0.22/0.45  
% 0.22/0.45  % ------ General Options
% 0.22/0.45  
% 0.22/0.45  % --fof                                 false
% 0.22/0.45  % --time_out_real                       150.
% 0.22/0.45  % --time_out_prep_mult                  0.2
% 0.22/0.45  % --time_out_virtual                    -1.
% 0.22/0.45  % --schedule                            none
% 0.22/0.45  % --ground_splitting                    input
% 0.22/0.45  % --splitting_nvd                       16
% 0.22/0.45  % --non_eq_to_eq                        false
% 0.22/0.45  % --prep_gs_sim                         true
% 0.22/0.45  % --prep_unflatten                      false
% 0.22/0.45  % --prep_res_sim                        true
% 0.22/0.45  % --prep_upred                          true
% 0.22/0.45  % --res_sim_input                       true
% 0.22/0.45  % --clause_weak_htbl                    true
% 0.22/0.45  % --gc_record_bc_elim                   false
% 0.22/0.45  % --symbol_type_check                   false
% 0.22/0.45  % --clausify_out                        false
% 0.22/0.45  % --large_theory_mode                   false
% 0.22/0.45  % --prep_sem_filter                     none
% 0.22/0.45  % --prep_sem_filter_out                 false
% 0.22/0.45  % --preprocessed_out                    false
% 0.22/0.45  % --sub_typing                          false
% 0.22/0.45  % --brand_transform                     false
% 0.22/0.45  % --pure_diseq_elim                     true
% 0.22/0.45  % --min_unsat_core                      false
% 0.22/0.45  % --pred_elim                           true
% 0.22/0.45  % --add_important_lit                   false
% 0.22/0.45  % --soft_assumptions                    false
% 0.22/0.45  % --reset_solvers                       false
% 0.22/0.45  % --bc_imp_inh                          []
% 0.22/0.45  % --conj_cone_tolerance                 1.5
% 0.22/0.45  % --prolific_symb_bound                 500
% 0.22/0.45  % --lt_threshold                        2000
% 0.22/0.45  
% 0.22/0.45  % ------ SAT Options
% 0.22/0.45  
% 0.22/0.45  % --sat_mode                            false
% 0.22/0.45  % --sat_fm_restart_options              ""
% 0.22/0.45  % --sat_gr_def                          false
% 0.22/0.45  % --sat_epr_types                       true
% 0.22/0.45  % --sat_non_cyclic_types                false
% 0.22/0.45  % --sat_finite_models                   false
% 0.22/0.45  % --sat_fm_lemmas                       false
% 0.22/0.45  % --sat_fm_prep                         false
% 0.22/0.45  % --sat_fm_uc_incr                      true
% 0.22/0.45  % --sat_out_model                       small
% 0.22/0.45  % --sat_out_clauses                     false
% 0.22/0.45  
% 0.22/0.45  % ------ QBF Options
% 0.22/0.45  
% 0.22/0.45  % --qbf_mode                            false
% 0.22/0.45  % --qbf_elim_univ                       true
% 0.22/0.45  % --qbf_sk_in                           true
% 0.22/0.45  % --qbf_pred_elim                       true
% 0.22/0.45  % --qbf_split                           32
% 0.22/0.45  
% 0.22/0.45  % ------ BMC1 Options
% 0.22/0.46  
% 0.22/0.46  % --bmc1_incremental                    false
% 0.22/0.46  % --bmc1_axioms                         reachable_all
% 0.22/0.46  % --bmc1_min_bound                      0
% 0.22/0.46  % --bmc1_max_bound                      -1
% 0.22/0.46  % --bmc1_max_bound_default              -1
% 0.22/0.46  % --bmc1_symbol_reachability            true
% 0.22/0.46  % --bmc1_property_lemmas                false
% 0.22/0.46  % --bmc1_k_induction                    false
% 0.22/0.46  % --bmc1_non_equiv_states               false
% 0.22/0.46  % --bmc1_deadlock                       false
% 0.22/0.46  % --bmc1_ucm                            false
% 0.22/0.46  % --bmc1_add_unsat_core                 none
% 0.22/0.46  % --bmc1_unsat_core_children            false
% 0.22/0.46  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.46  % --bmc1_out_stat                       full
% 0.22/0.46  % --bmc1_ground_init                    false
% 0.22/0.46  % --bmc1_pre_inst_next_state            false
% 0.22/0.46  % --bmc1_pre_inst_state                 false
% 0.22/0.46  % --bmc1_pre_inst_reach_state           false
% 0.22/0.46  % --bmc1_out_unsat_core                 false
% 0.22/0.46  % --bmc1_aig_witness_out                false
% 0.22/0.46  % --bmc1_verbose                        false
% 0.22/0.46  % --bmc1_dump_clauses_tptp              false
% 0.22/0.47  % --bmc1_dump_unsat_core_tptp           false
% 0.22/0.47  % --bmc1_dump_file                      -
% 0.22/0.47  % --bmc1_ucm_expand_uc_limit            128
% 0.22/0.47  % --bmc1_ucm_n_expand_iterations        6
% 0.22/0.47  % --bmc1_ucm_extend_mode                1
% 0.22/0.47  % --bmc1_ucm_init_mode                  2
% 0.22/0.47  % --bmc1_ucm_cone_mode                  none
% 0.22/0.47  % --bmc1_ucm_reduced_relation_type      0
% 0.22/0.47  % --bmc1_ucm_relax_model                4
% 0.22/0.47  % --bmc1_ucm_full_tr_after_sat          true
% 0.22/0.47  % --bmc1_ucm_expand_neg_assumptions     false
% 0.22/0.47  % --bmc1_ucm_layered_model              none
% 0.22/0.47  % --bmc1_ucm_max_lemma_size             10
% 0.22/0.47  
% 0.22/0.47  % ------ AIG Options
% 0.22/0.47  
% 0.22/0.47  % --aig_mode                            false
% 0.22/0.47  
% 0.22/0.47  % ------ Instantiation Options
% 0.22/0.47  
% 0.22/0.47  % --instantiation_flag                  true
% 0.22/0.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.47  % --inst_solver_per_active              750
% 0.22/0.47  % --inst_solver_calls_frac              0.5
% 0.22/0.47  % --inst_passive_queue_type             priority_queues
% 0.22/0.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.47  % --inst_passive_queues_freq            [25;2]
% 0.22/0.47  % --inst_dismatching                    true
% 0.22/0.47  % --inst_eager_unprocessed_to_passive   true
% 0.22/0.47  % --inst_prop_sim_given                 true
% 0.22/0.47  % --inst_prop_sim_new                   false
% 0.22/0.47  % --inst_orphan_elimination             true
% 0.22/0.47  % --inst_learning_loop_flag             true
% 0.22/0.47  % --inst_learning_start                 3000
% 0.22/0.47  % --inst_learning_factor                2
% 0.22/0.47  % --inst_start_prop_sim_after_learn     3
% 0.22/0.47  % --inst_sel_renew                      solver
% 0.22/0.47  % --inst_lit_activity_flag              true
% 0.22/0.47  % --inst_out_proof                      true
% 0.22/0.47  
% 0.22/0.47  % ------ Resolution Options
% 0.22/0.47  
% 0.22/0.47  % --resolution_flag                     true
% 0.22/0.47  % --res_lit_sel                         kbo_max
% 0.22/0.47  % --res_to_prop_solver                  none
% 0.22/0.47  % --res_prop_simpl_new                  false
% 0.22/0.47  % --res_prop_simpl_given                false
% 0.22/0.47  % --res_passive_queue_type              priority_queues
% 0.22/0.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.48  % --res_passive_queues_freq             [15;5]
% 0.22/0.48  % --res_forward_subs                    full
% 0.22/0.48  % --res_backward_subs                   full
% 0.22/0.48  % --res_forward_subs_resolution         true
% 0.22/0.48  % --res_backward_subs_resolution        true
% 0.22/0.48  % --res_orphan_elimination              false
% 0.22/0.48  % --res_time_limit                      1000.
% 0.22/0.48  % --res_out_proof                       true
% 0.22/0.48  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_d3ed18.s
% 0.22/0.48  % --modulo                              true
% 0.22/0.48  
% 0.22/0.48  % ------ Combination Options
% 0.22/0.48  
% 0.22/0.48  % --comb_res_mult                       1000
% 0.22/0.48  % --comb_inst_mult                      300
% 0.22/0.48  % ------ 
% 0.22/0.48  
% 0.22/0.48  % ------ Parsing...% successful
% 0.22/0.48  
% 0.22/0.48  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 0.22/0.48  
% 0.22/0.48  
% 0.22/0.48  % ------                             Statistics
% 0.22/0.48  
% 0.22/0.48  % ------ General
% 0.22/0.48  
% 0.22/0.48  % num_of_input_clauses:                 318
% 0.22/0.48  % num_of_input_neg_conjectures:         8
% 0.22/0.48  % num_of_splits:                        0
% 0.22/0.48  % num_of_split_atoms:                   0
% 0.22/0.48  % num_of_sem_filtered_clauses:          0
% 0.22/0.48  % num_of_subtypes:                      0
% 0.22/0.48  % monotx_restored_types:                0
% 0.22/0.48  % sat_num_of_epr_types:                 0
% 0.22/0.48  % sat_num_of_non_cyclic_types:          0
% 0.22/0.48  % sat_guarded_non_collapsed_types:      0
% 0.22/0.48  % is_epr:                               0
% 0.22/0.48  % is_horn:                              0
% 0.22/0.48  % has_eq:                               0
% 0.22/0.48  % num_pure_diseq_elim:                  0
% 0.22/0.48  % simp_replaced_by:                     0
% 0.22/0.48  % res_preprocessed:                     0
% 0.22/0.48  % prep_upred:                           0
% 0.22/0.48  % prep_unflattend:                      0
% 0.22/0.48  % pred_elim_cands:                      0
% 0.22/0.48  % pred_elim:                            0
% 0.22/0.48  % pred_elim_cl:                         0
% 0.22/0.48  % pred_elim_cycles:                     0
% 0.22/0.48  % forced_gc_time:                       0
% 0.22/0.48  % gc_basic_clause_elim:                 0
% 0.22/0.48  % parsing_time:                         0.011
% 0.22/0.48  % sem_filter_time:                      0.
% 0.22/0.48  % pred_elim_time:                       0.
% 0.22/0.48  % out_proof_time:                       0.003
% 0.22/0.48  % monotx_time:                          0.
% 0.22/0.48  % subtype_inf_time:                     0.
% 0.22/0.48  % unif_index_cands_time:                0.
% 0.22/0.48  % unif_index_add_time:                  0.
% 0.22/0.48  % total_time:                           0.037
% 0.22/0.48  % num_of_symbols:                       33
% 0.22/0.48  % num_of_terms:                         505
% 0.22/0.48  
% 0.22/0.48  % ------ Propositional Solver
% 0.22/0.48  
% 0.22/0.48  % prop_solver_calls:                    0
% 0.22/0.48  % prop_fast_solver_calls:               370
% 0.22/0.48  % prop_num_of_clauses:                  276
% 0.22/0.48  % prop_preprocess_simplified:           336
% 0.22/0.48  % prop_fo_subsumed:                     160
% 0.22/0.48  % prop_solver_time:                     0.
% 0.22/0.48  % prop_fast_solver_time:                0.
% 0.22/0.48  % prop_unsat_core_time:                 0.
% 0.22/0.48  
% 0.22/0.48  % ------ QBF 
% 0.22/0.48  
% 0.22/0.48  % qbf_q_res:                            0
% 0.22/0.48  % qbf_num_tautologies:                  0
% 0.22/0.48  % qbf_prep_cycles:                      0
% 0.22/0.48  
% 0.22/0.48  % ------ BMC1
% 0.22/0.48  
% 0.22/0.48  % bmc1_current_bound:                   -1
% 0.22/0.48  % bmc1_last_solved_bound:               -1
% 0.22/0.48  % bmc1_unsat_core_size:                 -1
% 0.22/0.48  % bmc1_unsat_core_parents_size:         -1
% 0.22/0.48  % bmc1_merge_next_fun:                  0
% 0.22/0.48  % bmc1_unsat_core_clauses_time:         0.
% 0.22/0.48  
% 0.22/0.48  % ------ Instantiation
% 0.22/0.48  
% 0.22/0.48  % inst_num_of_clauses:                  undef
% 0.22/0.48  % inst_num_in_passive:                  undef
% 0.22/0.48  % inst_num_in_active:                   0
% 0.22/0.48  % inst_num_in_unprocessed:              0
% 0.22/0.48  % inst_num_of_loops:                    0
% 0.22/0.48  % inst_num_of_learning_restarts:        0
% 0.22/0.48  % inst_num_moves_active_passive:        0
% 0.22/0.48  % inst_lit_activity:                    0
% 0.22/0.48  % inst_lit_activity_moves:              0
% 0.22/0.48  % inst_num_tautologies:                 0
% 0.22/0.48  % inst_num_prop_implied:                0
% 0.22/0.48  % inst_num_existing_simplified:         0
% 0.22/0.48  % inst_num_eq_res_simplified:           0
% 0.22/0.48  % inst_num_child_elim:                  0
% 0.22/0.48  % inst_num_of_dismatching_blockings:    0
% 0.22/0.48  % inst_num_of_non_proper_insts:         0
% 0.22/0.48  % inst_num_of_duplicates:               0
% 0.22/0.48  % inst_inst_num_from_inst_to_res:       0
% 0.22/0.48  % inst_dismatching_checking_time:       0.
% 0.22/0.48  
% 0.22/0.48  % ------ Resolution
% 0.22/0.48  
% 0.22/0.48  % res_num_of_clauses:                   undef
% 0.22/0.48  % res_num_in_passive:                   undef
% 0.22/0.48  % res_num_in_active:                    0
% 0.22/0.48  % res_num_of_loops:                     0
% 0.22/0.48  % res_forward_subset_subsumed:          0
% 0.22/0.48  % res_backward_subset_subsumed:         0
% 0.22/0.48  % res_forward_subsumed:                 0
% 0.22/0.48  % res_backward_subsumed:                0
% 0.22/0.48  % res_forward_subsumption_resolution:   0
% 0.22/0.48  % res_backward_subsumption_resolution:  0
% 0.22/0.48  % res_clause_to_clause_subsumption:     0
% 0.22/0.48  % res_orphan_elimination:               0
% 0.22/0.48  % res_tautology_del:                    0
% 0.22/0.48  % res_num_eq_res_simplified:            0
% 0.22/0.48  % res_num_sel_changes:                  0
% 0.22/0.48  % res_moves_from_active_to_pass:        0
% 0.22/0.48  
% 0.22/0.48  % Status Unsatisfiable
% 0.22/0.48  % SZS status Theorem
% 0.22/0.48  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------