TSTP Solution File: ALG024+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:16:50 EDT 2024

% Result   : Unsatisfiable 9.39s 2.35s
% Output   : CNFRefutation 9.39s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(ax8,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) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax8) ).

fof(ax5,axiom,
    inv(unit) = unit,
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax5) ).

fof(ax3,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('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax3) ).

fof(ax9,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) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax9) ).

fof(ax4,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('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax4) ).

fof(ax7,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 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax7) ).

fof(ax6,axiom,
    ( inv(inv(e0)) = e0
    & inv(inv(e1)) = e1
    & inv(inv(e2)) = e2
    & inv(inv(e3)) = e3 ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax6) ).

fof(ax10,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax10) ).

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)) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax2) ).

fof(ax1,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('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax1) ).

fof(ax31,axiom,
    ~ ( e3 = op(op(e2,op(e2,e2)),e2)
      & e0 = op(e2,op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax31) ).

fof(ax30,axiom,
    ~ ( e3 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax30) ).

fof(ax11,axiom,
    ~ ( ( 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('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax11) ).

fof(ax35,axiom,
    ~ ( e3 = op(op(e1,op(e1,e1)),e1)
      & e2 = op(e1,op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax35) ).

fof(ax24,axiom,
    ~ ( e2 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax24) ).

fof(ax25,axiom,
    ~ ( e2 = op(op(e3,op(e3,e3)),e3)
      & e0 = op(e3,op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax25) ).

fof(ax29,axiom,
    ~ ( e2 = op(op(e1,op(e1,e1)),e1)
      & e3 = op(e1,op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax29) ).

fof(ax18,axiom,
    ~ ( e1 = op(op(e2,op(e2,e2)),e2)
      & e0 = op(e2,op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax18) ).

fof(ax22,axiom,
    ~ ( e1 = op(op(e0,op(e0,e0)),e0)
      & e3 = op(e0,op(e0,e0))
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax22) ).

fof(ax21,axiom,
    ~ ( e1 = op(op(e3,op(e3,e3)),e3)
      & e2 = op(e3,op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax21) ).

fof(ax13,axiom,
    ~ ( e0 = op(op(e3,op(e3,e3)),e3)
      & e1 = op(e3,op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax13) ).

fof(ax14,axiom,
    ~ ( e0 = op(op(e1,op(e1,e1)),e1)
      & e2 = op(e1,op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax14) ).

fof(ax15,axiom,
    ~ ( e0 = op(op(e3,op(e3,e3)),e3)
      & e2 = op(e3,op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p',ax15) ).

fof(c_0_23,plain,
    ( inv(e0) != inv(e1)
    & inv(e0) != inv(e2)
    & inv(e0) != inv(e3)
    & inv(e1) != inv(e2)
    & inv(e1) != inv(e3)
    & inv(e2) != inv(e3) ),
    inference(fof_simplification,[status(thm)],[ax8]) ).

fof(c_0_24,plain,
    ( inv(e0) != inv(e1)
    & inv(e0) != inv(e2)
    & inv(e0) != inv(e3)
    & inv(e1) != inv(e2)
    & inv(e1) != inv(e3)
    & inv(e2) != inv(e3) ),
    inference(fof_nnf,[status(thm)],[c_0_23]) ).

cnf(c_0_25,plain,
    inv(unit) = unit,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_26,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_27,plain,
    inv(e2) != inv(e3),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,plain,
    ( inv(e3) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,plain,
    inv(e1) != inv(e3),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_30,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[ax9]) ).

cnf(c_0_31,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    ( inv(e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2
    | inv(e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_33,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_29,c_0_28]) ).

cnf(c_0_34,plain,
    ( inv(e1) = e0
    | inv(e1) = e1
    | inv(e1) = e2
    | inv(e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_35,plain,
    ( ( 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) = e2
     => inv(e2) = e1 )
    & ( inv(e1) = e3
     => inv(e3) = e1 )
    & ( inv(e2) = e0
     => inv(e0) = e2 )
    & ( inv(e2) = e1
     => inv(e1) = 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 ) ),
    inference(fof_simplification,[status(thm)],[ax7]) ).

fof(c_0_36,plain,
    ( 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) ),
    inference(fof_nnf,[status(thm)],[c_0_30]) ).

cnf(c_0_37,plain,
    op(e3,inv(e3)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_38,plain,
    op(e2,inv(e2)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_39,plain,
    ( inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_40,plain,
    inv(e0) != inv(e1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_41,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_42,plain,
    op(e0,inv(e0)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_43,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2
    | inv(e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_44,plain,
    ( ( 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) != e2
      | inv(e2) = e1 )
    & ( inv(e1) != e3
      | inv(e3) = e1 )
    & ( inv(e2) != e0
      | inv(e0) = e2 )
    & ( inv(e2) != e1
      | inv(e1) = 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 ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).

cnf(c_0_45,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,plain,
    ( op(e3,e3) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_37,c_0_28]) ).

cnf(c_0_47,plain,
    inv(inv(e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_48,plain,
    ( op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_49,plain,
    ( inv(e1) = e0
    | inv(e1) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_50,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_51,plain,
    ( inv(e1) = e0
    | inv(e0) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_53,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_simplification,[status(thm)],[ax10]) ).

cnf(c_0_54,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_55,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_56,plain,
    inv(e1) != inv(e2),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_57,plain,
    ( op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e1) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_58,plain,
    op(e1,inv(e1)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_59,plain,
    ( inv(e0) = e0
    | inv(e1) = e1
    | inv(e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]) ).

fof(c_0_60,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_nnf,[status(thm)],[c_0_53]) ).

cnf(c_0_61,plain,
    op(op(e0,e2),e3) = op(e0,op(e2,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_62,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_63,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_64,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_65,plain,
    ( op(e0,e3) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_26]) ).

cnf(c_0_66,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_67,plain,
    ( op(e3,e2) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_26]) ).

cnf(c_0_68,plain,
    ( op(e2,e2) = unit
    | inv(e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | inv(e1) != e0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_69,plain,
    ( op(e1,e1) = unit
    | inv(e1) = e0
    | inv(e0) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_70,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_71,plain,
    ( op(e0,op(e2,e3)) = op(e3,e3)
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_72,plain,
    ( op(e2,e3) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_26]) ).

cnf(c_0_73,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_74,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,plain,
    ( op(e1,e1) = unit
    | op(e2,e2) = unit
    | inv(e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_76,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_77,plain,
    ( op(e3,e3) = op(e0,e2)
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74]) ).

cnf(c_0_78,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_79,plain,
    ( op(e2,e2) = unit
    | op(e1,e1) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_42,c_0_75]) ).

cnf(c_0_80,plain,
    ( op(e3,e3) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_76,c_0_26]) ).

cnf(c_0_81,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_82,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_77]) ).

cnf(c_0_83,plain,
    inv(e0) != inv(e3),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_84,plain,
    ( op(e0,e0) = unit
    | op(e1,e1) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_85,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_80,c_0_77]) ).

cnf(c_0_86,plain,
    ( op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != unit ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_87,plain,
    op(unit,e0) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_88,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_89,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_83,c_0_28]) ).

cnf(c_0_90,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_91,plain,
    ( op(e0,e2) = e1
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_26]),c_0_86]) ).

cnf(c_0_92,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_93,plain,
    op(op(e1,e0),e3) = op(e1,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_94,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_95,plain,
    op(e1,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_96,plain,
    ( op(e3,e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_87,c_0_26]) ).

cnf(c_0_97,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_98,plain,
    ( op(e1,e3) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_26]) ).

cnf(c_0_99,plain,
    op(inv(e0),e0) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_100,plain,
    ( inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_89,c_0_43]) ).

cnf(c_0_101,plain,
    ( op(e1,op(e1,e3)) = e3
    | op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).

cnf(c_0_102,plain,
    ( op(e1,op(e0,e3)) = op(e3,e3)
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_103,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_104,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,plain,
    inv(inv(e0)) = e0,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_106,plain,
    ( op(e2,e0) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_107,plain,
    op(e1,e0) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_108,plain,
    ( op(e0,e2) = e1
    | op(e1,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_101,c_0_98]) ).

cnf(c_0_109,plain,
    ( op(e3,e3) = op(e1,e0)
    | op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_65]),c_0_103]),c_0_104]) ).

cnf(c_0_110,plain,
    ( op(e2,e0) = unit
    | inv(e0) = e0
    | inv(e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_111,plain,
    ( op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_112,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_80,c_0_109]) ).

cnf(c_0_113,plain,
    ( op(e2,e0) = unit
    | op(e2,e2) = unit
    | inv(e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_110]),c_0_70]) ).

cnf(c_0_114,plain,
    op(op(e1,e0),e2) = op(e1,op(e0,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_115,plain,
    ( op(e1,e0) = e2
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_116,plain,
    ( op(e2,e2) = unit
    | op(e2,e0) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_42,c_0_113]) ).

fof(c_0_117,plain,
    ( e3 != op(op(e2,op(e2,e2)),e2)
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).

cnf(c_0_118,plain,
    ( op(e1,op(e0,e2)) = op(e2,e2)
    | op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_119,plain,
    op(op(e1,e1),e0) = op(e1,op(e1,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_120,plain,
    ( op(e0,e0) = unit
    | op(e2,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_78,c_0_116]) ).

cnf(c_0_121,plain,
    ( op(e0,e3) = unit
    | op(e0,e2) = unit
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_42,c_0_50]) ).

cnf(c_0_122,plain,
    ( e3 != op(op(e2,op(e2,e2)),e2)
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_123,plain,
    ( op(e0,e2) = e1
    | op(e2,e2) = e1
    | unit = e0
    | unit = e2
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_82]),c_0_88]) ).

cnf(c_0_124,plain,
    op(op(e2,e1),e2) = op(e2,op(e1,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_125,plain,
    op(op(e2,e2),e2) = op(e2,op(e2,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_126,plain,
    ( op(e1,op(e1,e0)) = e0
    | op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_91]),c_0_87]) ).

cnf(c_0_127,plain,
    op(op(e2,e0),e3) = op(e2,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_128,plain,
    ( op(e0,e2) = e1
    | op(e2,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_85]),c_0_26]),c_0_86]) ).

cnf(c_0_129,plain,
    ( op(e0,e2) = unit
    | op(e0,e3) = unit
    | op(e0,e1) = unit
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_121]) ).

cnf(c_0_130,plain,
    ( op(e0,e2) = e1
    | unit = e1
    | unit = e2
    | unit = e0
    | op(e2,op(e1,e2)) != e3
    | op(e2,e1) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).

cnf(c_0_131,plain,
    ( op(e2,e1) = op(e1,e2)
    | op(e0,e2) = e1
    | unit = e1
    | unit = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_125,c_0_123]) ).

cnf(c_0_132,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_126,c_0_115]) ).

cnf(c_0_133,plain,
    ( op(e2,op(e0,e3)) = e3
    | op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_92]) ).

cnf(c_0_134,plain,
    ( op(e1,e1) = unit
    | op(e1,e0) = unit
    | inv(e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_69]) ).

cnf(c_0_135,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_45,c_0_80]) ).

cnf(c_0_136,plain,
    ( op(e0,e1) = unit
    | op(e0,e3) = unit
    | op(e0,e2) = unit
    | op(e0,e0) = unit ),
    inference(spm,[status(thm)],[c_0_42,c_0_129]) ).

cnf(c_0_137,plain,
    ( op(e0,e2) = e1
    | unit = e0
    | unit = e2
    | unit = e1
    | op(e2,op(e1,e2)) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).

cnf(c_0_138,plain,
    ( op(e0,e2) = e1
    | op(e2,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_133,c_0_65]) ).

cnf(c_0_139,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_140,plain,
    ( op(e1,e0) = unit
    | op(e1,e1) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_42,c_0_134]) ).

cnf(c_0_141,plain,
    ( op(e0,e0) = unit
    | op(e0,e2) = unit
    | op(e0,e1) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_26]) ).

cnf(c_0_142,plain,
    ( op(e0,e2) = e1
    | unit = e1
    | unit = e2
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_132]),c_0_138]) ).

cnf(c_0_143,plain,
    ( op(e0,e0) = unit
    | op(e1,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_144,plain,
    ( op(e0,e1) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e2
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_145,plain,
    ( op(e1,e0) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_146,plain,
    op(op(e0,e2),e2) = op(e0,op(e2,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_147,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).

cnf(c_0_148,plain,
    ( op(e1,op(e0,e2)) = e2
    | op(e0,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_145]),c_0_55]) ).

cnf(c_0_149,plain,
    ( op(e0,op(e2,e2)) = op(e1,e2)
    | unit = e0
    | unit = e2
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_146,c_0_142]) ).

cnf(c_0_150,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_151,plain,
    ( op(e0,e0) = unit
    | op(e1,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_148,c_0_142]) ).

cnf(c_0_152,plain,
    op(op(e1,e2),e1) = op(e1,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_153,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_154,plain,
    ( op(e0,e0) = unit
    | op(e2,e0) = unit
    | op(e1,e2) = e0
    | unit = e1
    | unit = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_116]),c_0_54]) ).

cnf(c_0_155,plain,
    ( op(e0,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,op(e2,e1)) != e3
    | op(e1,e2) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).

cnf(c_0_156,plain,
    ( op(e1,e2) = e0
    | op(e0,e0) = unit
    | unit = e0
    | unit = e2
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_145]) ).

cnf(c_0_157,plain,
    op(op(e1,e1),e1) = op(e1,op(e1,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_158,plain,
    ( op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e1,op(e2,e1)) != e3 ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_159,plain,
    ( op(e2,e1) = op(e1,e2)
    | op(e0,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_157,c_0_151]) ).

cnf(c_0_160,plain,
    ( op(e1,op(e0,e3)) = e3
    | op(e0,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_145]),c_0_92]) ).

cnf(c_0_161,plain,
    op(e0,e0) != op(e1,e0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_162,plain,
    ( op(e0,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,op(e1,e2)) != e3 ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_163,plain,
    ( op(e0,e0) = unit
    | op(e1,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_160,c_0_65]) ).

cnf(c_0_164,plain,
    op(inv(e1),e1) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_165,plain,
    ( op(e1,e0) = e2
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_161,c_0_112]) ).

cnf(c_0_166,plain,
    ( op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_156]),c_0_163]) ).

cnf(c_0_167,plain,
    ( op(e2,e1) = unit
    | inv(e1) = e0
    | inv(e1) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_164,c_0_41]) ).

cnf(c_0_168,plain,
    ( op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_26]) ).

cnf(c_0_169,plain,
    ( op(e2,e1) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_167]) ).

cnf(c_0_170,plain,
    ( op(e1,op(e0,e2)) = op(e2,e2)
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_114,c_0_168]) ).

fof(c_0_171,plain,
    ( ( 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 ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])]) ).

cnf(c_0_172,plain,
    op(op(e0,e2),e1) = op(e0,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_173,plain,
    ( op(e1,e1) = unit
    | op(e2,e1) = unit
    | op(e2,e2) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_169]),c_0_70]) ).

cnf(c_0_174,plain,
    ( op(e2,e2) = op(e1,e1)
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_170,c_0_142]) ).

cnf(c_0_175,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_176,plain,
    ( op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_177,plain,
    ( op(e0,op(e2,e1)) = op(e1,e1)
    | unit = e0
    | unit = e2
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_172,c_0_142]) ).

cnf(c_0_178,plain,
    ( op(e2,e1) = unit
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_179,plain,
    op(op(e0,e1),e3) = op(e0,op(e1,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_180,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_181,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_182,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_183,plain,
    ( op(e3,e1) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_26]) ).

cnf(c_0_184,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e1) != e3
    | op(e2,e2) != e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_166]),c_0_26]),c_0_80]) ).

cnf(c_0_185,plain,
    ( op(e1,e1) = unit
    | op(e1,e1) = e0
    | unit = e1
    | unit = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_54]) ).

cnf(c_0_186,plain,
    ( op(e0,op(e1,e3)) = op(e3,e3)
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_187,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_65]) ).

cnf(c_0_188,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_189,plain,
    ( op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e2) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_26]) ).

cnf(c_0_190,plain,
    ( op(e3,e3) = op(e0,e1)
    | op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_98]),c_0_187]),c_0_188]) ).

fof(c_0_191,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])]) ).

cnf(c_0_192,plain,
    ( op(e1,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_189,c_0_174]) ).

cnf(c_0_193,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_194,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_190]) ).

cnf(c_0_195,plain,
    ( op(e1,e2) = unit
    | inv(e1) = e0
    | inv(e1) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_58,c_0_41]) ).

cnf(c_0_196,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_191]) ).

cnf(c_0_197,plain,
    ( op(e1,e1) = e0
    | unit = e1
    | unit = e2
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_185]),c_0_26]) ).

cnf(c_0_198,plain,
    op(op(e1,e0),e1) = op(e1,op(e0,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_199,plain,
    ( op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != unit ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_200,plain,
    ( op(e1,e2) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_195]) ).

cnf(c_0_201,plain,
    ( unit = e0
    | unit = e2
    | unit = e1
    | op(e1,op(e0,e1)) != e3 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_168]) ).

cnf(c_0_202,plain,
    ( op(e0,e1) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_199,c_0_166]) ).

cnf(c_0_203,plain,
    ( op(e1,e1) = unit
    | op(e1,e2) = unit
    | op(e2,e2) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_200]),c_0_70]) ).

cnf(c_0_204,plain,
    ( unit = e1
    | unit = e2
    | unit = e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_205,plain,
    ( op(e1,e2) = unit
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_203,c_0_174]) ).

cnf(c_0_206,plain,
    ( inv(e3) = e0
    | inv(e3) = e1
    | inv(e3) = e2
    | inv(e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_207,plain,
    ( op(e1,e1) = unit
    | unit = e0
    | unit = e2
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_26]) ).

cnf(c_0_208,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e2
    | inv(e3) = e1
    | inv(e3) = e0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_206]) ).

cnf(c_0_209,plain,
    ( unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_197,c_0_207]) ).

cnf(c_0_210,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e3) = e1
    | inv(e2) != e2 ),
    inference(spm,[status(thm)],[c_0_27,c_0_208]) ).

cnf(c_0_211,plain,
    ( inv(e2) = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_25,c_0_209]) ).

cnf(c_0_212,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_43]) ).

cnf(c_0_213,plain,
    inv(inv(e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_214,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e1
    | inv(e3) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_215,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_212]) ).

cnf(c_0_216,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_217,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e1) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_218,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e1
    | inv(e0) = e0
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_211]),c_0_70]) ).

cnf(c_0_219,plain,
    inv(inv(e1)) = e1,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_220,plain,
    ( inv(e0) = e2
    | inv(e0) = e0
    | inv(e1) = e0
    | inv(e1) = e1
    | inv(e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_43]),c_0_51]) ).

cnf(c_0_221,plain,
    inv(e0) != inv(e2),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_222,plain,
    ( op(e3,e3) = unit
    | inv(e1) = e3
    | unit = e1
    | unit = e0
    | inv(e1) != e0 ),
    inference(spm,[status(thm)],[c_0_29,c_0_217]) ).

cnf(c_0_223,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e0
    | inv(e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_105,c_0_218]) ).

cnf(c_0_224,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_225,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_226,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_227,plain,
    ( inv(e1) = e1
    | inv(e1) = e0
    | inv(e0) = e0
    | inv(e0) = e2
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_228,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_229,plain,
    ( unit = e1
    | unit = e0
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_221,c_0_211]) ).

cnf(c_0_230,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | inv(e0) = e0
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_231,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_232,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_233,plain,
    ( inv(e0) = e0
    | inv(e1) = e0
    | inv(e1) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_211]),c_0_228]),c_0_229]) ).

cnf(c_0_234,plain,
    op(op(e3,e1),e2) = op(e3,op(e1,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_235,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_236,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_237,plain,
    ( op(e3,e3) = unit
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_230]) ).

cnf(c_0_238,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_239,plain,
    ( op(e2,e3) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_92,c_0_209]) ).

cnf(c_0_240,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_241,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_242,plain,
    ( op(e1,e1) = unit
    | inv(e1) = e0
    | inv(e0) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_233]) ).

cnf(c_0_243,plain,
    ( op(e0,e3) = unit
    | op(e2,e0) = unit
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_99,c_0_50]) ).

cnf(c_0_244,plain,
    ( op(e3,op(e1,e2)) = op(e3,e2)
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_245,plain,
    ( op(e1,e2) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_88,c_0_209]) ).

cnf(c_0_246,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_247,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_248,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_224]),c_0_240]),c_0_241]) ).

cnf(c_0_249,plain,
    ( op(e1,e1) = unit
    | op(e1,e0) = unit
    | inv(e0) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_242]) ).

cnf(c_0_250,plain,
    op(e2,e0) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_251,plain,
    ( op(e2,e2) = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_63,c_0_209]) ).

cnf(c_0_252,plain,
    ( op(e2,e0) = unit
    | op(e0,e3) = unit
    | op(e0,e1) = unit
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_243]) ).

cnf(c_0_253,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_254,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).

cnf(c_0_255,plain,
    ( op(e3,e0) = unit
    | op(e0,e1) = unit
    | inv(e0) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_42,c_0_218]) ).

cnf(c_0_256,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_257,plain,
    ( op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_209]) ).

cnf(c_0_258,plain,
    op(op(e1,e1),e2) = op(e1,op(e1,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_259,plain,
    ( op(e1,e0) = unit
    | op(e1,e1) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_42,c_0_249]) ).

cnf(c_0_260,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_261,plain,
    ( op(e0,e1) = unit
    | op(e0,e3) = unit
    | op(e2,e0) = unit
    | op(e0,e0) = unit ),
    inference(spm,[status(thm)],[c_0_42,c_0_252]) ).

cnf(c_0_262,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | unit = e0
    | unit = e1
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_263,plain,
    ( op(e0,e1) = unit
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_255]) ).

cnf(c_0_264,plain,
    ( op(e1,e3) = e1
    | op(e1,e3) = e0
    | unit = e0
    | unit = e1
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_256,c_0_248]) ).

cnf(c_0_265,plain,
    ( op(e0,e0) = unit
    | op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e0
    | unit = e1
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_95,c_0_257]) ).

cnf(c_0_266,plain,
    ( op(e1,op(e1,e2)) = e2
    | op(e0,e0) = unit
    | op(e1,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_55]) ).

cnf(c_0_267,plain,
    op(op(e0,e3),e1) = op(e0,op(e3,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_268,plain,
    ( op(e0,e0) = unit
    | op(e0,e3) = unit
    | op(e0,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_209]) ).

cnf(c_0_269,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_270,plain,
    ( op(e0,e0) = unit
    | op(e0,e1) = unit
    | op(e3,e1) = e0
    | op(e3,e1) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_209]) ).

cnf(c_0_271,plain,
    ( op(e2,e1) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_175,c_0_209]) ).

cnf(c_0_272,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e3) = e1
    | inv(e2) = e3 ),
    inference(spm,[status(thm)],[c_0_213,c_0_208]) ).

cnf(c_0_273,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_274,plain,
    ( op(e0,e0) = unit
    | op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_259]),c_0_209]),c_0_265]) ).

cnf(c_0_275,plain,
    ( op(e1,e0) = unit
    | op(e0,e0) = unit
    | op(e1,e1) = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_266,c_0_245]) ).

cnf(c_0_276,plain,
    ( op(e0,op(e3,e1)) = e1
    | op(e0,e1) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_175]) ).

cnf(c_0_277,plain,
    ( op(e3,e1) = e0
    | op(e0,e1) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).

cnf(c_0_278,plain,
    ( op(e3,e3) = unit
    | op(e3,e1) = unit
    | inv(e2) = e3
    | inv(e3) = e0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_272]) ).

cnf(c_0_279,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_280,plain,
    op(op(e1,e3),e3) = op(e1,op(e3,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_281,plain,
    ( op(e1,e3) = e0
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_245]) ).

cnf(c_0_282,plain,
    ( op(e0,e0) = unit
    | op(e1,e0) = unit
    | unit = e1
    | unit = e0
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_139,c_0_275]) ).

cnf(c_0_283,plain,
    ( op(e0,e0) = unit
    | op(e0,e1) = unit
    | op(e0,e0) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_284,plain,
    ( op(e3,e1) = unit
    | op(e3,e3) = unit
    | op(e3,e0) = unit
    | inv(e2) = e3 ),
    inference(spm,[status(thm)],[c_0_37,c_0_278]) ).

cnf(c_0_285,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e3,e1) != unit ),
    inference(spm,[status(thm)],[c_0_279,c_0_237]) ).

cnf(c_0_286,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_50]) ).

cnf(c_0_287,plain,
    ( op(e2,e0) = unit
    | op(e0,e3) = unit
    | op(e1,e0) = unit
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_243]) ).

cnf(c_0_288,plain,
    ( op(e1,op(e3,e3)) = op(e0,e3)
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_289,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_209]) ).

cnf(c_0_290,plain,
    op(op(e3,e3),e1) = op(e3,op(e3,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_291,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | op(e3,e1) = unit
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_211]),c_0_241]) ).

cnf(c_0_292,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_254]),c_0_209]) ).

cnf(c_0_293,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e1
    | inv(e0) = e0
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_211]),c_0_70]) ).

cnf(c_0_294,plain,
    ( op(e1,e0) = unit
    | op(e0,e3) = unit
    | op(e2,e0) = unit
    | op(e0,e0) = unit ),
    inference(spm,[status(thm)],[c_0_42,c_0_287]) ).

cnf(c_0_295,plain,
    ( op(e3,e0) = unit
    | op(e0,e0) = unit
    | op(e0,e3) = e1
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_237]),c_0_88]) ).

cnf(c_0_296,plain,
    ( op(e1,op(e0,e2)) = e2
    | op(e0,e0) = unit
    | op(e0,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_289]),c_0_55]) ).

cnf(c_0_297,plain,
    ( op(e0,e2) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_209]) ).

cnf(c_0_298,plain,
    ( op(e3,op(e3,e1)) = e1
    | op(e3,e1) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_175]) ).

cnf(c_0_299,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = unit
    | op(e3,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_292]),c_0_271]) ).

cnf(c_0_300,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e0
    | inv(e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_105,c_0_293]) ).

cnf(c_0_301,plain,
    ( op(e0,e0) = unit
    | op(e0,e3) = unit
    | op(e1,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_294]),c_0_209]) ).

cnf(c_0_302,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_95,c_0_295]) ).

cnf(c_0_303,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = unit
    | op(e1,e0) = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_304,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = unit
    | op(e3,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_298,c_0_299]) ).

cnf(c_0_305,plain,
    ( op(e0,e3) = unit
    | op(e3,e3) = unit
    | inv(e0) = e0
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_300]),c_0_224]) ).

cnf(c_0_306,plain,
    op(op(e3,e0),e2) = op(e3,op(e0,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_307,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

cnf(c_0_308,plain,
    ( op(e1,op(e0,e3)) = e3
    | op(e0,e3) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_301]),c_0_92]) ).

cnf(c_0_309,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = unit
    | op(e0,e3) = e1
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_209]) ).

cnf(c_0_310,plain,
    op(op(e3,e3),e0) = op(e3,op(e3,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_311,plain,
    ( op(e3,e0) = e1
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_95,c_0_304]) ).

cnf(c_0_312,plain,
    op(op(e3,e3),e2) = op(e3,op(e3,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_313,plain,
    ( op(e3,e3) = unit
    | op(e0,e3) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_305]) ).

cnf(c_0_314,plain,
    op(op(e1,e3),e0) = op(e1,op(e3,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_315,plain,
    ( op(e3,op(e0,e2)) = e2
    | op(e3,e0) = e1
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_304]),c_0_55]) ).

cnf(c_0_316,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

cnf(c_0_317,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = unit
    | op(e1,e1) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_318,plain,
    op(op(e1,e3),e1) = op(e1,op(e3,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_319,plain,
    ( op(e3,op(e3,e0)) = e0
    | op(e0,e0) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_237]),c_0_87]) ).

cnf(c_0_320,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = unit
    | op(e3,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_303]),c_0_209]) ).

cnf(c_0_321,plain,
    ( op(e3,op(e3,e2)) = e2
    | op(e0,e0) = unit
    | op(e0,e3) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_55]) ).

cnf(c_0_322,plain,
    ( op(e3,e2) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_76,c_0_209]) ).

cnf(c_0_323,plain,
    ( op(e3,op(e3,e2)) = e2
    | op(e0,e0) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_237]),c_0_55]) ).

cnf(c_0_324,plain,
    ( op(e1,op(e3,e0)) = op(e0,e0)
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_314,c_0_281]) ).

cnf(c_0_325,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_315,c_0_297]) ).

cnf(c_0_326,plain,
    ( op(e0,e0) = unit
    | op(e0,e0) = e1
    | unit = e1
    | unit = e0
    | op(e1,op(e3,e1)) != e2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]),c_0_281]) ).

cnf(c_0_327,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = unit
    | op(e3,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_328,plain,
    op(e3,e0) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_329,plain,
    ( op(e0,e3) = unit
    | op(e0,e0) = unit
    | op(e3,e3) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_330,plain,
    ( op(e3,e0) = unit
    | op(e0,e0) = unit
    | op(e3,e3) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_323,c_0_322]) ).

cnf(c_0_331,plain,
    op(e0,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_332,plain,
    ( op(e1,e2) = op(e0,e0)
    | op(e3,e0) = e1
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_333,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_303]) ).

cnf(c_0_334,plain,
    ( op(e0,e0) = unit
    | op(e0,e3) = unit
    | unit = e0
    | unit = e1
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_335,plain,
    ( op(e1,e2) = op(e0,e3)
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_288,c_0_330]) ).

cnf(c_0_336,plain,
    ( op(e1,e2) = op(e0,e0)
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).

cnf(c_0_337,plain,
    ( op(e1,e2) = op(e0,e3)
    | op(e0,e3) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_209]) ).

cnf(c_0_338,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_339,plain,
    ( op(e3,e1) = unit
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_164,c_0_34]) ).

cnf(c_0_340,plain,
    ( op(e1,e3) = unit
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_34]) ).

cnf(c_0_341,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_45,c_0_330]) ).

cnf(c_0_342,plain,
    ( op(e0,e3) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]) ).

cnf(c_0_343,plain,
    ( op(e3,e1) = unit
    | inv(e1) = e0
    | inv(e1) = e1
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_219,c_0_339]) ).

cnf(c_0_344,plain,
    ( op(e1,e3) = unit
    | op(e2,e1) = unit
    | inv(e1) = e0
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_164,c_0_340]) ).

cnf(c_0_345,plain,
    ( op(e1,op(e1,e3)) = e3
    | op(e0,e0) = unit
    | op(e1,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_259]),c_0_92]) ).

cnf(c_0_346,plain,
    ( op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_209]) ).

cnf(c_0_347,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_348,plain,
    ( op(e3,e1) = unit
    | inv(e1) = e1
    | inv(e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_211]),c_0_228]) ).

cnf(c_0_349,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_350,plain,
    ( op(e2,e1) = unit
    | op(e1,e3) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_344]) ).

cnf(c_0_351,plain,
    ( op(e3,e0) = e1
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_95,c_0_325]) ).

cnf(c_0_352,plain,
    ( op(e1,e0) = unit
    | op(e0,e0) = unit
    | op(e1,e0) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_345,c_0_281]) ).

cnf(c_0_353,plain,
    ( op(e1,op(e3,e1)) = op(e0,e1)
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_318,c_0_281]) ).

cnf(c_0_354,plain,
    ( op(e0,e0) = unit
    | op(e3,e1) = e0
    | op(e3,e1) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_346]),c_0_209]) ).

cnf(c_0_355,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_347,c_0_226]) ).

cnf(c_0_356,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_357,plain,
    ( op(e3,e1) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_348]) ).

cnf(c_0_358,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_349,c_0_251]) ).

cnf(c_0_359,plain,
    ( op(e1,e1) = unit
    | op(e1,e3) = unit
    | op(e2,e1) = unit
    | op(e0,e1) = unit ),
    inference(spm,[status(thm)],[c_0_164,c_0_350]) ).

cnf(c_0_360,plain,
    ( op(e1,e0) = e3
    | op(e0,e0) = unit
    | op(e3,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_209]) ).

cnf(c_0_361,plain,
    ( op(e3,e1) = e0
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_139]) ).

cnf(c_0_362,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_363,plain,
    ( op(e1,e1) = unit
    | op(e3,e1) = unit
    | op(e3,e3) = unit
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_357]),c_0_224]) ).

cnf(c_0_364,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_365,plain,
    ( op(e0,e1) = unit
    | op(e1,e3) = unit
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_209]) ).

cnf(c_0_366,plain,
    op(op(e3,e0),e1) = op(e3,op(e0,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_367,plain,
    ( op(e0,e0) = unit
    | op(e1,e0) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_360,c_0_346]) ).

cnf(c_0_368,plain,
    ( op(e1,e0) = op(e0,e1)
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_353,c_0_361]) ).

cnf(c_0_369,plain,
    ( op(e3,e1) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_45,c_0_291]) ).

cnf(c_0_370,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_239]),c_0_224]),c_0_240]),c_0_241]) ).

cnf(c_0_371,plain,
    ( op(e3,e1) = unit
    | op(e1,e1) = unit
    | unit = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_45,c_0_363]) ).

cnf(c_0_372,plain,
    ( op(e1,e1) = unit
    | op(e0,e1) = unit
    | unit = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_364,c_0_365]) ).

fof(c_0_373,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])]) ).

cnf(c_0_374,plain,
    ( op(e3,op(e0,e1)) = e1
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_346]),c_0_175]) ).

cnf(c_0_375,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_367,c_0_368]) ).

cnf(c_0_376,plain,
    op(e1,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_377,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e3,e0) = unit
    | op(e3,e1) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_209]) ).

cnf(c_0_378,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e1,e1) = unit
    | op(e3,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_370]),c_0_209]) ).

cnf(c_0_379,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e1) = unit
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_370]),c_0_209]) ).

cnf(c_0_380,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_381,plain,
    ( op(e0,e0) = unit
    | op(e3,e3) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_382,plain,
    op(op(e3,e1),e3) = op(e3,op(e1,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_383,plain,
    ( op(e3,op(e0,e2)) = e2
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_346]),c_0_55]) ).

cnf(c_0_384,plain,
    ( op(e3,e0) = unit
    | op(e0,e3) = e0
    | op(e0,e3) = e1
    | unit = e0
    | unit = e1
    | op(e1,e1) != unit ),
    inference(spm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_385,plain,
    ( op(e1,e1) = unit
    | op(e0,e3) = e0
    | op(e0,e3) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_378]),c_0_379]) ).

cnf(c_0_386,plain,
    ( op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | op(e3,op(e1,e3)) != e2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_382]),c_0_361]) ).

cnf(c_0_387,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_383,c_0_297]) ).

cnf(c_0_388,plain,
    op(op(e3,e0),e0) = op(e3,op(e0,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_389,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e3,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_385]) ).

cnf(c_0_390,plain,
    op(op(e0,e0),e3) = op(e0,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_391,plain,
    ( op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_281]),c_0_387]) ).

cnf(c_0_392,plain,
    ( op(e3,op(e0,e0)) = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e1
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_87]) ).

cnf(c_0_393,plain,
    ( op(e0,op(e0,e3)) = e3
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_92]) ).

cnf(c_0_394,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_391]),c_0_76]),c_0_224]) ).

cnf(c_0_395,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_396,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_397,plain,
    ( op(e0,e3) = e0
    | op(e0,e1) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_393,c_0_394]) ).

cnf(c_0_398,plain,
    ( op(e3,op(e0,e2)) = op(e3,e2)
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_395]) ).

cnf(c_0_399,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_400,plain,
    ( op(e0,op(e0,e1)) = e1
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_391]),c_0_175]) ).

cnf(c_0_401,plain,
    ( op(e0,e1) = e3
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_397]),c_0_297]) ).

cnf(c_0_402,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_297]),c_0_399]) ).

cnf(c_0_403,plain,
    op(op(e0,e3),e0) = op(e0,op(e3,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_404,plain,
    ( op(e0,e3) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_405,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e0
    | unit = e1
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_331,c_0_402]) ).

cnf(c_0_406,plain,
    op(op(e0,e0),e2) = op(e0,op(e0,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_407,plain,
    ( op(e0,op(e3,e0)) = op(e1,e0)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_408,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_391]),c_0_209]) ).

cnf(c_0_409,plain,
    ( op(e0,op(e0,e2)) = e2
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_391]),c_0_55]) ).

cnf(c_0_410,plain,
    op(op(e0,e1),e0) = op(e0,op(e1,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_411,plain,
    ( op(e1,e0) = op(e0,e1)
    | op(e3,e0) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_407,c_0_408]) ).

cnf(c_0_412,plain,
    op(inv(e3),e3) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_413,plain,
    ( op(e0,e0) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_297]) ).

cnf(c_0_414,plain,
    ( op(e0,op(e1,e0)) = op(e3,e0)
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_410,c_0_401]) ).

cnf(c_0_415,plain,
    ( op(e1,e0) = op(e0,e1)
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_411]),c_0_161]) ).

cnf(c_0_416,plain,
    ( op(e3,e3) = unit
    | op(e1,e3) = unit
    | inv(e2) = e3
    | inv(e3) = e0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_272]) ).

cnf(c_0_417,plain,
    op(op(e3,e2),e3) = op(e3,op(e2,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_418,plain,
    ( op(e0,op(e0,e3)) = op(e2,e3)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_390,c_0_413]) ).

cnf(c_0_419,plain,
    ( op(e0,op(e0,e1)) = op(e3,e0)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_414,c_0_415]) ).

cnf(c_0_420,plain,
    ( op(e1,e3) = unit
    | op(e3,e3) = unit
    | op(e3,e0) = unit
    | inv(e2) = e3 ),
    inference(spm,[status(thm)],[c_0_37,c_0_416]) ).

cnf(c_0_421,plain,
    ( op(e3,op(e2,e3)) = op(e3,e3)
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_322]) ).

cnf(c_0_422,plain,
    ( op(e2,e3) = op(e0,e1)
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_404]) ).

cnf(c_0_423,plain,
    ( op(e3,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_400,c_0_419]) ).

cnf(c_0_424,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | op(e1,e3) = unit
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_211]),c_0_241]) ).

cnf(c_0_425,plain,
    ( op(e3,op(e0,e1)) = op(e3,e3)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_426,plain,
    ( op(e3,op(e0,e1)) = op(e1,e1)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_366,c_0_423]) ).

cnf(c_0_427,plain,
    ( op(e1,e3) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e3,e1) != unit ),
    inference(spm,[status(thm)],[c_0_279,c_0_424]) ).

cnf(c_0_428,plain,
    ( op(e3,e3) = op(e1,e1)
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_425,c_0_426]) ).

cnf(c_0_429,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e3,e0) = unit
    | op(e1,e3) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_254]),c_0_209]) ).

cnf(c_0_430,plain,
    ( op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2
    | op(e3,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_431,plain,
    ( op(e0,op(e3,e1)) = op(e1,e1)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_267,c_0_404]) ).

cnf(c_0_432,plain,
    ( op(e3,e1) = unit
    | op(e1,e1) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_363,c_0_428]) ).

cnf(c_0_433,plain,
    ( op(e1,e3) = unit
    | op(e3,e0) = unit
    | op(e3,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_429]),c_0_271]) ).

cnf(c_0_434,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) != e2
    | op(e3,e3) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_391]),c_0_209]),c_0_251]) ).

cnf(c_0_435,plain,
    ( op(e1,e1) = unit
    | op(e1,e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_54]) ).

cnf(c_0_436,plain,
    ( op(e1,e3) = unit
    | op(e3,e0) = unit
    | op(e3,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_298,c_0_433]) ).

cnf(c_0_437,plain,
    ( op(e1,e1) = e0
    | unit = e1
    | unit = e0
    | op(e3,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_209]) ).

cnf(c_0_438,plain,
    ( op(e3,op(e0,e0)) = e0
    | op(e3,e0) = e1
    | op(e1,e3) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_436]),c_0_87]) ).

fof(c_0_439,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e3 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).

cnf(c_0_440,plain,
    ( op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_437,c_0_428]) ).

cnf(c_0_441,plain,
    ( op(e3,op(e0,e0)) = op(e1,e0)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_388,c_0_423]) ).

cnf(c_0_442,plain,
    ( op(e3,op(e3,e0)) = e0
    | op(e1,e3) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_424]),c_0_87]) ).

cnf(c_0_443,plain,
    ( op(e1,e3) = unit
    | op(e3,e0) = e1
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_391]),c_0_76]),c_0_224]) ).

cnf(c_0_444,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e3 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

cnf(c_0_445,plain,
    ( op(e1,e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_435]),c_0_209]) ).

cnf(c_0_446,plain,
    ( op(e1,e0) = e3
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_391]),c_0_76]) ).

cnf(c_0_447,plain,
    ( op(e1,e3) = unit
    | op(e3,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_442,c_0_443]) ).

cnf(c_0_448,plain,
    ( unit = e0
    | unit = e1
    | op(e1,op(e0,e1)) != e2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_445]),c_0_198]),c_0_446]) ).

cnf(c_0_449,plain,
    ( op(e1,e3) = unit
    | unit = e1
    | unit = e0
    | op(e1,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_376,c_0_447]) ).

cnf(c_0_450,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_448,c_0_401]) ).

cnf(c_0_451,plain,
    ( op(e1,e3) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_449,c_0_445]) ).

cnf(c_0_452,plain,
    ( unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_451]),c_0_209]) ).

cnf(c_0_453,plain,
    op(inv(e2),e2) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_454,plain,
    ( op(e3,e3) = unit
    | inv(e2) = e3
    | inv(e3) = e0
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_272]) ).

cnf(c_0_455,plain,
    ( inv(e1) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_452]) ).

cnf(c_0_456,plain,
    ( op(e3,e2) = unit
    | inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_32]) ).

cnf(c_0_457,plain,
    ( inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_221,c_0_32]) ).

cnf(c_0_458,plain,
    ( inv(e2) = e0
    | inv(e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_459,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e2) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_455]) ).

cnf(c_0_460,plain,
    ( op(e3,e2) = unit
    | op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_38,c_0_456]) ).

cnf(c_0_461,plain,
    ( op(e3,e0) = unit
    | op(e2,e0) = unit
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_99,c_0_212]) ).

cnf(c_0_462,plain,
    ( inv(e0) = e1
    | inv(e0) = e0
    | inv(e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_43]),c_0_458]) ).

cnf(c_0_463,plain,
    ( op(e3,e3) = unit
    | inv(e2) = e3
    | inv(e0) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_213,c_0_459]) ).

cnf(c_0_464,plain,
    ( unit = e0
    | inv(e0) != e1 ),
    inference(spm,[status(thm)],[c_0_40,c_0_455]) ).

cnf(c_0_465,plain,
    ( op(e2,e2) = unit
    | op(e3,e2) = unit
    | inv(e2) = e0
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_47,c_0_460]) ).

cnf(c_0_466,plain,
    ( op(e2,e0) = unit
    | op(e3,e0) = unit
    | op(e0,e1) = unit
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_461]) ).

cnf(c_0_467,plain,
    ( op(e2,e2) = unit
    | inv(e2) = e1
    | inv(e2) = e0
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_38,c_0_462]) ).

cnf(c_0_468,plain,
    ( op(e3,e3) = unit
    | inv(e0) = e3
    | inv(e0) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_463]),c_0_224]),c_0_240]),c_0_241]),c_0_464]) ).

cnf(c_0_469,plain,
    ( op(e1,e3) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_92,c_0_452]) ).

cnf(c_0_470,plain,
    ( op(e3,e2) = unit
    | op(e2,e2) = unit
    | op(e2,e0) = unit
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_38,c_0_465]) ).

cnf(c_0_471,plain,
    ( op(e0,e1) = unit
    | op(e3,e0) = unit
    | op(e2,e0) = unit
    | op(e0,e0) = unit ),
    inference(spm,[status(thm)],[c_0_42,c_0_466]) ).

cnf(c_0_472,plain,
    ( op(e2,e2) = unit
    | inv(e0) = e1
    | inv(e0) = e0
    | inv(e2) = e0
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_47,c_0_467]) ).

cnf(c_0_473,plain,
    ( op(e3,e3) = unit
    | op(e3,e0) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_468]) ).

cnf(c_0_474,plain,
    op(e2,e1) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_475,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_231,c_0_469]) ).

cnf(c_0_476,plain,
    ( op(e2,e1) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_452]) ).

cnf(c_0_477,plain,
    ( op(e2,e0) = unit
    | op(e2,e2) = unit
    | op(e3,e2) = unit
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_455]),c_0_228]) ).

cnf(c_0_478,plain,
    ( op(e3,op(e0,e1)) = e1
    | op(e0,e0) = unit
    | op(e2,e0) = unit
    | op(e0,e1) = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_471]),c_0_175]) ).

cnf(c_0_479,plain,
    ( op(e0,e1) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_452]) ).

cnf(c_0_480,plain,
    ( op(e2,e2) = unit
    | inv(e1) = e2
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2 ),
    inference(spm,[status(thm)],[c_0_47,c_0_472]) ).

cnf(c_0_481,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_482,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_483,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_473]) ).

cnf(c_0_484,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_485,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_476]) ).

cnf(c_0_486,plain,
    ( op(e2,e2) = unit
    | op(e2,e0) = unit
    | unit = e0
    | op(e3,e0) != unit ),
    inference(spm,[status(thm)],[c_0_399,c_0_477]) ).

cnf(c_0_487,plain,
    ( op(e2,e0) = unit
    | op(e0,e0) = unit
    | op(e3,e0) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_488,plain,
    ( op(e2,e2) = unit
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_219,c_0_480]) ).

cnf(c_0_489,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_279,c_0_481]) ).

cnf(c_0_490,plain,
    ( op(e3,e1) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_76,c_0_452]) ).

cnf(c_0_491,plain,
    op(op(e3,e2),e1) = op(e3,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_492,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_493,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = unit
    | unit = e0
    | op(e2,e3) != unit ),
    inference(spm,[status(thm)],[c_0_482,c_0_483]) ).

cnf(c_0_494,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_484,c_0_485]) ).

cnf(c_0_495,plain,
    ( op(e0,e0) = unit
    | op(e2,e0) = unit
    | op(e2,e2) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_452]) ).

cnf(c_0_496,plain,
    ( op(e3,e3) = unit
    | inv(e0) = e3
    | inv(e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_463]) ).

cnf(c_0_497,plain,
    ( op(e2,e2) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_488]) ).

cnf(c_0_498,plain,
    op(op(e3,e3),e3) = op(e3,op(e3,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_499,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_489,c_0_490]) ).

cnf(c_0_500,plain,
    ( op(e3,op(e2,e1)) = op(e3,e1)
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_492]) ).

cnf(c_0_501,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_502,plain,
    ( op(e2,e3) = e0
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_485]),c_0_452]) ).

cnf(c_0_503,plain,
    ( op(e2,e0) = unit
    | op(e0,e0) = unit
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_452]) ).

cnf(c_0_504,plain,
    ( op(e3,e3) = unit
    | inv(e0) = e3
    | unit = e0
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_83,c_0_496]) ).

cnf(c_0_505,plain,
    ( op(e2,e2) = unit
    | inv(e0) = e2
    | inv(e0) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_455]),c_0_464]) ).

cnf(c_0_506,plain,
    ( op(e3,e0) = unit
    | op(e0,e2) = unit
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_42,c_0_212]) ).

cnf(c_0_507,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_508,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_509,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_510,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_476]),c_0_246]) ).

cnf(c_0_511,plain,
    ( op(e1,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_452]) ).

cnf(c_0_512,plain,
    op(op(e2,e3),e3) = op(e2,op(e3,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_513,plain,
    ( op(e0,e0) = unit
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_503]) ).

cnf(c_0_514,plain,
    ( op(e2,e2) = unit
    | op(e3,e3) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_241]) ).

cnf(c_0_515,plain,
    ( op(e0,e2) = unit
    | op(e3,e0) = unit
    | inv(e0) = e0
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_506]) ).

cnf(c_0_516,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_517,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = e0
    | unit = e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_507,c_0_508]) ).

cnf(c_0_518,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]) ).

cnf(c_0_519,plain,
    ( op(e2,e0) = unit
    | op(e0,e3) = unit
    | inv(e0) = e0
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_243]) ).

cnf(c_0_520,plain,
    ( op(e2,op(e3,e3)) = op(e0,e3)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_521,plain,
    ( op(e3,e3) = unit
    | op(e2,e2) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_514]) ).

cnf(c_0_522,plain,
    op(op(e2,e3),e0) = op(e2,op(e3,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_523,plain,
    ( op(e3,e0) = unit
    | op(e0,e2) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_455]),c_0_516]) ).

cnf(c_0_524,plain,
    ( op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e2,e3) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_525,plain,
    ( op(e0,e3) = unit
    | op(e2,e0) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_455]),c_0_516]) ).

cnf(c_0_526,plain,
    ( op(e2,e2) = unit
    | op(e0,e0) = unit
    | op(e0,e3) = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_63]) ).

cnf(c_0_527,plain,
    ( op(e2,op(e3,e0)) = op(e0,e0)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_513]) ).

cnf(c_0_528,plain,
    ( op(e0,e2) = unit
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_523]) ).

cnf(c_0_529,plain,
    op(e1,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_530,plain,
    ( op(e3,op(e2,e1)) = op(e1,e1)
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_518]) ).

cnf(c_0_531,plain,
    ( op(e2,e3) = e1
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_524]),c_0_485]) ).

cnf(c_0_532,plain,
    ( op(e3,e3) = unit
    | op(e0,e3) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_468]) ).

cnf(c_0_533,plain,
    ( op(e2,e0) = unit
    | op(e0,e3) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_525]) ).

cnf(c_0_534,plain,
    ( op(e0,e3) = e2
    | op(e0,e0) = unit
    | unit = e0
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_78,c_0_526]) ).

cnf(c_0_535,plain,
    ( op(e0,e2) = unit
    | op(e0,e0) = unit
    | op(e0,e0) = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_528]),c_0_63]) ).

cnf(c_0_536,plain,
    ( unit = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_529,c_0_476]) ).

cnf(c_0_537,plain,
    ( op(e1,e1) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_455]) ).

cnf(c_0_538,plain,
    ( op(e3,e2) = op(e1,e1)
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_530,c_0_476]) ).

cnf(c_0_539,plain,
    ( op(e3,op(e2,e3)) = op(e0,e3)
    | op(e2,e3) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_531]) ).

cnf(c_0_540,plain,
    ( op(e0,e3) = unit
    | op(e3,e3) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_532]) ).

cnf(c_0_541,plain,
    ( op(e3,e3) = unit
    | inv(e2) = e3
    | inv(e3) = e0
    | inv(e1) = e3 ),
    inference(spm,[status(thm)],[c_0_213,c_0_272]) ).

fof(c_0_542,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])]) ).

cnf(c_0_543,plain,
    ( op(e2,op(e0,e3)) = e3
    | op(e0,e0) = unit
    | op(e0,e3) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_533]),c_0_92]) ).

cnf(c_0_544,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = unit
    | op(e0,e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_545,plain,
    ( unit = e0
    | unit != e2 ),
    inference(spm,[status(thm)],[c_0_536,c_0_537]) ).

cnf(c_0_546,plain,
    ( op(e3,e2) = e0
    | unit = e0
    | op(e3,e0) != op(e1,e1) ),
    inference(spm,[status(thm)],[c_0_399,c_0_538]) ).

cnf(c_0_547,plain,
    ( op(e3,e0) = op(e0,e3)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_513]),c_0_516]) ).

cnf(c_0_548,plain,
    ( op(e0,e0) = unit
    | op(e0,e3) = unit
    | unit = e0
    | op(e3,e2) != unit ),
    inference(spm,[status(thm)],[c_0_507,c_0_540]) ).

cnf(c_0_549,plain,
    ( op(e2,e0) = unit
    | op(e3,e0) = unit
    | inv(e0) = e0
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_461]) ).

cnf(c_0_550,plain,
    ( op(e3,e3) = unit
    | op(e3,e0) = unit
    | inv(e1) = e3
    | inv(e2) = e3 ),
    inference(spm,[status(thm)],[c_0_37,c_0_541]) ).

cnf(c_0_551,plain,
    ( e1 != op(op(e2,op(e2,e2)),e2)
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_552,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = unit
    | op(e2,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_545]) ).

cnf(c_0_553,plain,
    op(op(e2,e3),e2) = op(e2,op(e3,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_554,plain,
    ( op(e0,e0) = unit
    | op(e3,e2) = e0
    | unit = e0
    | op(e1,e1) != op(e0,e3) ),
    inference(spm,[status(thm)],[c_0_546,c_0_547]) ).

cnf(c_0_555,plain,
    ( op(e3,e2) = e0
    | op(e0,e3) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_518]),c_0_452]) ).

cnf(c_0_556,plain,
    ( op(e3,e0) = unit
    | op(e2,e0) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_455]),c_0_516]) ).

cnf(c_0_557,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | op(e3,e2) = unit
    | inv(e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_550]),c_0_241]),c_0_240]),c_0_224]) ).

cnf(c_0_558,plain,
    ( op(e0,e0) = unit
    | op(e0,e0) = e2
    | unit = e0
    | op(e2,op(e3,e2)) != e1 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_553]),c_0_513]) ).

cnf(c_0_559,plain,
    ( op(e3,e2) = e0
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_537]),c_0_555]) ).

cnf(c_0_560,plain,
    ( op(e2,e0) = unit
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_556]) ).

cnf(c_0_561,plain,
    ( op(e3,e2) = unit
    | op(e3,e3) = unit
    | op(e3,e0) = unit
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_455]),c_0_240]) ).

cnf(c_0_562,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = unit
    | unit = e0
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

cnf(c_0_563,plain,
    ( op(e2,e0) = unit
    | op(e0,e0) = unit
    | op(e0,e0) = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_560]),c_0_63]) ).

cnf(c_0_564,plain,
    op(op(e3,e2),e2) = op(e3,op(e2,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_565,plain,
    ( op(e3,op(e3,e2)) = e2
    | op(e3,e0) = unit
    | op(e3,e2) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_561]),c_0_55]) ).

cnf(c_0_566,plain,
    op(op(e2,e2),e3) = op(e2,op(e2,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_567,plain,
    ( op(e0,e0) = unit
    | op(e0,e0) = e2
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_452]) ).

cnf(c_0_568,plain,
    ( op(e3,op(e2,e2)) = op(e0,e2)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_564,c_0_559]) ).

cnf(c_0_569,plain,
    ( op(e0,e0) = unit
    | op(e3,e0) = unit
    | op(e3,e0) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_565,c_0_559]) ).

cnf(c_0_570,plain,
    ( op(e2,op(e2,e3)) = e3
    | op(e2,e0) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_495]),c_0_92]) ).

fof(c_0_571,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | e3 != op(e0,op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_572,plain,
    ( op(e0,op(e0,e1)) = e1
    | op(e0,e0) = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_567]),c_0_175]) ).

cnf(c_0_573,plain,
    ( op(e0,e3) = e2
    | op(e0,e0) = unit
    | op(e0,e2) = e3
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_526]),c_0_76]) ).

cnf(c_0_574,plain,
    ( op(e3,e0) = e2
    | op(e0,e0) = unit
    | unit = e0
    | op(e2,e0) != unit ),
    inference(spm,[status(thm)],[c_0_501,c_0_569]) ).

cnf(c_0_575,plain,
    ( op(e0,e0) = unit
    | op(e2,e0) = unit
    | op(e2,e0) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_570,c_0_513]) ).

cnf(c_0_576,plain,
    ( op(e0,e3) = e2
    | op(e0,e0) = unit
    | unit = e0
    | op(e2,e0) != unit ),
    inference(spm,[status(thm)],[c_0_250,c_0_526]) ).

cnf(c_0_577,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = unit
    | op(e2,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_547]) ).

cnf(c_0_578,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | e3 != op(e0,op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_579,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_572,c_0_479]) ).

cnf(c_0_580,plain,
    op(op(e0,e2),e0) = op(e0,op(e2,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_581,plain,
    ( op(e0,e2) = e3
    | op(e0,e0) = unit
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_338,c_0_573]) ).

cnf(c_0_582,plain,
    ( op(e2,e0) = e3
    | op(e0,e0) = unit
    | op(e3,e0) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_574,c_0_575]) ).

cnf(c_0_583,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = unit
    | op(e0,e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_576,c_0_577]) ).

cnf(c_0_584,plain,
    ( op(e0,e0) = e1
    | unit = e0
    | op(e0,op(e2,e0)) != e1
    | op(e0,e2) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_580]) ).

cnf(c_0_585,plain,
    ( op(e0,e0) = e1
    | op(e0,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_579]),c_0_545]) ).

cnf(c_0_586,plain,
    ( op(e0,e0) = unit
    | op(e2,e0) = e3
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_331,c_0_582]) ).

cnf(c_0_587,plain,
    ( op(e0,e0) = unit
    | op(e0,e3) = e1
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_338,c_0_583]) ).

cnf(c_0_588,plain,
    ( op(e0,e0) = e1
    | unit = e0
    | op(e0,op(e2,e0)) != e1 ),
    inference(spm,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_589,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_579]),c_0_545]) ).

cnf(c_0_590,plain,
    ( op(e0,e0) = e1
    | op(e0,e3) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_579]),c_0_545]) ).

cnf(c_0_591,plain,
    ( op(e0,e0) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_589]),c_0_590]) ).

cnf(c_0_592,plain,
    ( op(e0,op(e0,e1)) = op(e1,e1)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_396,c_0_591]) ).

cnf(c_0_593,plain,
    ( op(e1,e1) = op(e0,e0)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_592,c_0_479]) ).

cnf(c_0_594,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_364,c_0_232]) ).

cnf(c_0_595,plain,
    ( op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_537,c_0_593]) ).

cnf(c_0_596,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_594,c_0_356]) ).

cnf(c_0_597,plain,
    ( op(e0,op(e0,e3)) = e3
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_595]),c_0_92]) ).

cnf(c_0_598,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_469]),c_0_224]),c_0_240]),c_0_241]) ).

cnf(c_0_599,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e2) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_597,c_0_598]) ).

cnf(c_0_600,plain,
    ( op(e2,e3) = unit
    | inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_38,c_0_32]) ).

cnf(c_0_601,plain,
    ( op(e0,e2) = e3
    | op(e0,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_599]),c_0_591]) ).

cnf(c_0_602,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | op(e2,e3) = unit
    | inv(e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_550]),c_0_241]),c_0_240]),c_0_224]) ).

cnf(c_0_603,plain,
    ( op(e0,op(e0,e2)) = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_595]),c_0_55]) ).

cnf(c_0_604,plain,
    ( op(e0,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_601]),c_0_479]) ).

cnf(c_0_605,plain,
    ( op(e2,e3) = unit
    | op(e3,e3) = unit
    | op(e3,e0) = unit
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_455]),c_0_240]) ).

cnf(c_0_606,plain,
    ( op(e3,e0) = unit
    | op(e3,e2) = unit
    | unit = e0
    | op(e2,e3) != unit ),
    inference(spm,[status(thm)],[c_0_482,c_0_561]) ).

cnf(c_0_607,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | unit = e0
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_45,c_0_499]) ).

cnf(c_0_608,plain,
    ( op(e0,e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_603,c_0_604]) ).

cnf(c_0_609,plain,
    ( op(e3,e0) = unit
    | op(e2,e3) = unit
    | unit = e0
    | op(e3,e2) != unit ),
    inference(spm,[status(thm)],[c_0_507,c_0_605]) ).

cnf(c_0_610,plain,
    ( op(e2,e3) = e0
    | op(e3,e2) = unit
    | op(e3,e0) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_485]),c_0_452]) ).

cnf(c_0_611,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_612,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_607,c_0_608]) ).

cnf(c_0_613,plain,
    ( op(e2,op(e3,e0)) = op(e1,e0)
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_485]) ).

cnf(c_0_614,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = unit
    | op(e3,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_609,c_0_610]) ).

cnf(c_0_615,plain,
    ( unit = e0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_611,c_0_511]) ).

cnf(c_0_616,plain,
    ( op(e3,e3) = e0
    | unit = e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_507,c_0_612]) ).

cnf(c_0_617,plain,
    ( op(e2,e3) = unit
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_614]),c_0_63]),c_0_615]) ).

cnf(c_0_618,plain,
    ( op(e3,e3) = e0
    | unit = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_482,c_0_612]) ).

cnf(c_0_619,plain,
    ( op(e3,e2) = e0
    | op(e3,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_616,c_0_518]) ).

cnf(c_0_620,plain,
    ( op(e2,op(e3,e3)) = e3
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_617]),c_0_92]) ).

cnf(c_0_621,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_618,c_0_485]) ).

cnf(c_0_622,plain,
    op(op(e0,e3),e2) = op(e0,op(e3,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_623,plain,
    ( op(e3,e2) = e0
    | unit = e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_482,c_0_619]) ).

cnf(c_0_624,plain,
    ( op(e2,e3) = e0
    | op(e2,e0) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_620,c_0_621]) ).

cnf(c_0_625,plain,
    ( op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_626,plain,
    ( op(e1,e1) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_452]) ).

cnf(c_0_627,plain,
    ( op(e0,op(e3,e2)) = op(e2,e2)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_622,c_0_608]) ).

cnf(c_0_628,plain,
    ( op(e2,e0) = e3
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_623,c_0_624]) ).

cnf(c_0_629,plain,
    ( unit = e0
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_591]),c_0_626]) ).

cnf(c_0_630,plain,
    ( op(e2,e2) = op(e0,e0)
    | op(e2,e0) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_627,c_0_628]) ).

cnf(c_0_631,plain,
    ( op(e0,op(e2,e3)) = op(e3,e3)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_61,c_0_604]) ).

cnf(c_0_632,plain,
    ( op(e2,e0) = e3
    | unit = e0
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_591]) ).

cnf(c_0_633,plain,
    ( op(e3,e3) = op(e0,e0)
    | op(e2,e0) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_631,c_0_624]) ).

fof(c_0_634,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).

cnf(c_0_635,plain,
    op(op(e2,e0),e0) = op(e2,op(e0,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_636,plain,
    ( op(e2,e0) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_633]),c_0_591]) ).

cnf(c_0_637,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_634]) ).

cnf(c_0_638,plain,
    op(op(e3,e0),e3) = op(e3,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_639,plain,
    ( op(e2,op(e0,e0)) = op(e3,e0)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_635,c_0_636]) ).

cnf(c_0_640,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = e0
    | unit = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_482,c_0_508]) ).

cnf(c_0_641,plain,
    ( op(e2,e2) = op(e0,e0)
    | op(e2,e3) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_627,c_0_531]) ).

cnf(c_0_642,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e3,op(e0,e3)) != e1
    | op(e3,e0) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_621]),c_0_638]) ).

cnf(c_0_643,plain,
    ( op(e3,e0) = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_595]),c_0_63]) ).

cnf(c_0_644,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e3,e2) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_640,c_0_485]) ).

cnf(c_0_645,plain,
    ( op(e2,e2) = op(e0,e0)
    | op(e3,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_618,c_0_641]) ).

cnf(c_0_646,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e3,op(e0,e3)) != e1 ),
    inference(spm,[status(thm)],[c_0_642,c_0_643]) ).

cnf(c_0_647,plain,
    ( op(e3,e2) = e1
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_644]),c_0_518]) ).

cnf(c_0_648,plain,
    ( op(e2,e2) = op(e0,e0)
    | unit = e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_482,c_0_645]) ).

cnf(c_0_649,plain,
    ( op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_608]),c_0_647]) ).

cnf(c_0_650,plain,
    ( op(e2,e2) = op(e0,e0)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_648,c_0_649]) ).

cnf(c_0_651,plain,
    ( unit = e0
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_650]),c_0_591]) ).

cnf(c_0_652,plain,
    ( op(e3,e3) = op(e0,e0)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_631,c_0_649]) ).

cnf(c_0_653,plain,
    unit = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_652]),c_0_591]) ).

cnf(c_0_654,plain,
    ( inv(e0) = e3
    | inv(e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_655,plain,
    inv(e0) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_653]),c_0_653]) ).

cnf(c_0_656,plain,
    inv(e3) != e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_654,c_0_655]),c_0_224]) ).

cnf(c_0_657,plain,
    ( inv(e0) = e2
    | inv(e2) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_658,plain,
    op(inv(e3),e3) = e0,
    inference(rw,[status(thm)],[c_0_412,c_0_653]) ).

cnf(c_0_659,plain,
    ( inv(e3) = e3
    | inv(e3) = e2
    | inv(e3) = e1 ),
    inference(sr,[status(thm)],[c_0_206,c_0_656]) ).

cnf(c_0_660,plain,
    inv(e2) != e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_657,c_0_655]),c_0_70]) ).

cnf(c_0_661,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_662,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_63,c_0_653]) ).

cnf(c_0_663,plain,
    ( op(e3,e3) = e0
    | inv(e3) = e1
    | inv(e3) = e2 ),
    inference(spm,[status(thm)],[c_0_658,c_0_659]) ).

cnf(c_0_664,plain,
    op(e2,inv(e2)) = e0,
    inference(rw,[status(thm)],[c_0_38,c_0_653]) ).

cnf(c_0_665,plain,
    ( inv(e2) = e3
    | inv(e2) = e2
    | inv(e2) = e1 ),
    inference(sr,[status(thm)],[c_0_32,c_0_660]) ).

cnf(c_0_666,plain,
    op(e0,e3) = e3,
    inference(rw,[status(thm)],[c_0_92,c_0_653]) ).

cnf(c_0_667,plain,
    op(e2,e3) != e2,
    inference(rw,[status(thm)],[c_0_661,c_0_662]) ).

cnf(c_0_668,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | inv(e3) = e1 ),
    inference(spm,[status(thm)],[c_0_658,c_0_663]) ).

cnf(c_0_669,plain,
    op(inv(e2),e2) = e0,
    inference(rw,[status(thm)],[c_0_453,c_0_653]) ).

cnf(c_0_670,plain,
    ( op(e2,e3) = e0
    | inv(e2) = e1
    | inv(e2) = e2 ),
    inference(spm,[status(thm)],[c_0_664,c_0_665]) ).

cnf(c_0_671,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_45,c_0_481]) ).

cnf(c_0_672,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_666])]),c_0_667]) ).

cnf(c_0_673,plain,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | inv(e2) != e1 ),
    inference(spm,[status(thm)],[c_0_27,c_0_668]) ).

cnf(c_0_674,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_669,c_0_670]) ).

cnf(c_0_675,plain,
    op(e1,e0) = e1,
    inference(rw,[status(thm)],[c_0_88,c_0_653]) ).

cnf(c_0_676,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_671,c_0_356]) ).

cnf(c_0_677,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_253,c_0_235]) ).

cnf(c_0_678,plain,
    op(e0,e1) = e1,
    inference(rw,[status(thm)],[c_0_175,c_0_653]) ).

cnf(c_0_679,plain,
    ( op(e2,op(e3,e3)) = op(e1,e3)
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_512,c_0_672]) ).

cnf(c_0_680,plain,
    ( op(e2,e2) = e0
    | op(e3,e3) = e0
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_673,c_0_674]) ).

cnf(c_0_681,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_97,c_0_675]) ).

cnf(c_0_682,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_676,c_0_666]),c_0_666]),c_0_666]),c_0_241]),c_0_240]),c_0_224]) ).

cnf(c_0_683,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_677,c_0_395]) ).

cnf(c_0_684,plain,
    op(e3,e0) = e3,
    inference(rw,[status(thm)],[c_0_76,c_0_653]) ).

cnf(c_0_685,plain,
    op(e3,e1) != e1,
    inference(rw,[status(thm)],[c_0_182,c_0_678]) ).

cnf(c_0_686,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e1,e3) = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_680]),c_0_662]) ).

cnf(c_0_687,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_594,c_0_666])]),c_0_681]) ).

cnf(c_0_688,plain,
    op(e0,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_689,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_690,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_279,c_0_682]) ).

cnf(c_0_691,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_683,c_0_684]),c_0_684]),c_0_684]),c_0_241]),c_0_240]),c_0_224]),c_0_685]) ).

cnf(c_0_692,plain,
    op(op(e2,e2),e1) = op(e2,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_693,plain,
    ( op(e1,e3) = e2
    | op(e2,e2) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_686]),c_0_687]) ).

cnf(c_0_694,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_695,plain,
    op(e2,e1) != e1,
    inference(rw,[status(thm)],[c_0_688,c_0_678]) ).

cnf(c_0_696,plain,
    op(e2,e1) != e2,
    inference(rw,[status(thm)],[c_0_689,c_0_662]) ).

cnf(c_0_697,plain,
    ( op(e3,e1) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_690,c_0_691]) ).

cnf(c_0_698,plain,
    ( op(e2,op(e2,e1)) = e1
    | op(e1,e3) = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_693]),c_0_678]) ).

cnf(c_0_699,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_694,c_0_695]),c_0_696]) ).

cnf(c_0_700,plain,
    ( op(e1,e3) = e2
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_693]) ).

cnf(c_0_701,plain,
    ( op(e3,e3) = e0
    | op(e3,e1) = e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_482,c_0_697]) ).

cnf(c_0_702,plain,
    ( op(e1,e3) = e2
    | op(e2,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_699]),c_0_700]) ).

cnf(c_0_703,plain,
    ( op(e1,e3) = e2
    | op(e3,e1) = e0
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_701,c_0_702]) ).

cnf(c_0_704,plain,
    op(e0,e2) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_705,plain,
    op(e0,e2) = e2,
    inference(rw,[status(thm)],[c_0_55,c_0_653]) ).

cnf(c_0_706,plain,
    ( op(e3,e1) = e0
    | op(e1,e3) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_703]),c_0_687]) ).

cnf(c_0_707,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_708,plain,
    op(e1,e2) != e2,
    inference(rw,[status(thm)],[c_0_704,c_0_705]) ).

cnf(c_0_709,plain,
    op(e1,e2) != e1,
    inference(rw,[status(thm)],[c_0_611,c_0_675]) ).

cnf(c_0_710,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_711,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])]) ).

cnf(c_0_712,plain,
    ( op(e3,op(e1,e2)) = e2
    | op(e1,e3) = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_706]),c_0_705]) ).

cnf(c_0_713,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_707,c_0_708]),c_0_709]) ).

cnf(c_0_714,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_710,c_0_693]) ).

cnf(c_0_715,plain,
    ( inv(e0) = e1
    | inv(e1) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_716,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_711]) ).

cnf(c_0_717,plain,
    ( op(e1,e3) = e2
    | op(e3,e3) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_713]),c_0_714]) ).

cnf(c_0_718,plain,
    inv(e1) != e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_715,c_0_655]),c_0_516]) ).

cnf(c_0_719,plain,
    ( op(e1,e3) = e2
    | op(e3,op(e2,e3)) != e0
    | op(e3,e2) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_717]),c_0_417]) ).

cnf(c_0_720,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e1,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_498,c_0_717]) ).

cnf(c_0_721,plain,
    op(e1,inv(e1)) = e0,
    inference(rw,[status(thm)],[c_0_58,c_0_653]) ).

cnf(c_0_722,plain,
    ( inv(e1) = e3
    | inv(e1) = e2
    | inv(e1) = e1 ),
    inference(sr,[status(thm)],[c_0_34,c_0_718]) ).

cnf(c_0_723,plain,
    ( op(e1,e3) = e2
    | op(e3,op(e2,e3)) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_720]),c_0_702]) ).

cnf(c_0_724,plain,
    op(inv(e1),e1) = e0,
    inference(rw,[status(thm)],[c_0_164,c_0_653]) ).

cnf(c_0_725,plain,
    ( op(e1,e3) = e0
    | inv(e1) = e1
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_721,c_0_722]) ).

cnf(c_0_726,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_727,plain,
    op(e1,e1) != e1,
    inference(rw,[status(thm)],[c_0_139,c_0_678]) ).

cnf(c_0_728,plain,
    ( op(e1,e3) = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_256,c_0_687]) ).

cnf(c_0_729,plain,
    op(e1,e3) = e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_702]),c_0_706]) ).

cnf(c_0_730,plain,
    ( op(e1,e3) = e0
    | op(e2,e1) = e0
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_724,c_0_725]) ).

fof(c_0_731,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])]) ).

cnf(c_0_732,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[c_0_726,c_0_727]) ).

cnf(c_0_733,plain,
    op(e1,e1) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_728,c_0_729]),c_0_70]) ).

cnf(c_0_734,plain,
    ( op(e2,e1) = e0
    | op(e1,e3) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_724,c_0_730]) ).

fof(c_0_735,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).

cnf(c_0_736,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_236,c_0_682]) ).

cnf(c_0_737,plain,
    ( e0 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_731]) ).

cnf(c_0_738,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e3 ),
    inference(sr,[status(thm)],[c_0_732,c_0_733]) ).

cnf(c_0_739,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_734,c_0_729]),c_0_70]) ).

cnf(c_0_740,plain,
    op(e3,inv(e3)) = e0,
    inference(rw,[status(thm)],[c_0_37,c_0_653]) ).

cnf(c_0_741,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_742,plain,
    ( op(e1,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_736,c_0_687]) ).

cnf(c_0_743,plain,
    op(e1,e1) = e0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_738]),c_0_729]),c_0_729])]),c_0_739]) ).

cnf(c_0_744,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | inv(e3) = e1 ),
    inference(spm,[status(thm)],[c_0_740,c_0_663]) ).

cnf(c_0_745,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_746,plain,
    op(e0,e0) = e0,
    inference(rw,[status(thm)],[c_0_87,c_0_653]) ).

cnf(c_0_747,plain,
    ( op(e3,e3) = e0
    | op(e1,e3) = e0
    | op(e3,op(e1,e3)) != e0
    | op(e3,e1) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_742]),c_0_382]) ).

cnf(c_0_748,plain,
    op(e3,e1) != e0,
    inference(rw,[status(thm)],[c_0_376,c_0_743]) ).

cnf(c_0_749,plain,
    ( op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_658,c_0_744]) ).

cnf(c_0_750,plain,
    ( op(e3,e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2 ),
    inference(spm,[status(thm)],[c_0_669,c_0_665]) ).

cnf(c_0_751,plain,
    ( op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_745,c_0_746])]) ).

cnf(c_0_752,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) != e0
    | op(e3,e1) != e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_747,c_0_729]),c_0_729]),c_0_70]) ).

cnf(c_0_753,plain,
    op(e3,e1) = e2,
    inference(sr,[status(thm)],[c_0_691,c_0_748]) ).

cnf(c_0_754,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_749,c_0_729]),c_0_70]) ).

cnf(c_0_755,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_669,c_0_750]) ).

cnf(c_0_756,plain,
    ( op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_751,c_0_743])]) ).

cnf(c_0_757,plain,
    op(e3,e3) = e0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_752,c_0_753])]),c_0_754]) ).

cnf(c_0_758,plain,
    ( op(e2,e1) = e0
    | inv(e1) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_730,c_0_729]),c_0_70]) ).

cnf(c_0_759,plain,
    op(e2,e1) != e0,
    inference(rw,[status(thm)],[c_0_529,c_0_743]) ).

cnf(c_0_760,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e0
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_47,c_0_755]) ).

cnf(c_0_761,plain,
    op(e2,e2) != e0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_756,c_0_757])]) ).

cnf(c_0_762,plain,
    inv(e1) = e1,
    inference(sr,[status(thm)],[c_0_758,c_0_759]) ).

cnf(c_0_763,plain,
    op(e3,e2) != e0,
    inference(rw,[status(thm)],[c_0_507,c_0_757]) ).

cnf(c_0_764,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_760,c_0_761]),c_0_762]),c_0_228]),c_0_763]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 14:03:47 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.jJejHPNl6q/E---3.1_4119.p
% 9.39/2.35  # Version: 3.1.0
% 9.39/2.35  # Preprocessing class: FSLSSMSSSSSNFFN.
% 9.39/2.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.39/2.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.39/2.35  # Starting new_bool_3 with 300s (1) cores
% 9.39/2.35  # Starting new_bool_1 with 300s (1) cores
% 9.39/2.35  # Starting sh5l with 300s (1) cores
% 9.39/2.35  # new_bool_3 with pid 4197 completed with status 8
% 9.39/2.35  # sh5l with pid 4199 completed with status 8
% 9.39/2.35  # new_bool_1 with pid 4198 completed with status 8
% 9.39/2.35  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4196 completed with status 0
% 9.39/2.35  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.39/2.35  # Preprocessing class: FSLSSMSSSSSNFFN.
% 9.39/2.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.39/2.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.39/2.35  # No SInE strategy applied
% 9.39/2.35  # Search class: FGHPF-FFLM21-MFFFFFNN
% 9.39/2.35  # partial match(1): FGHPF-FSLM21-MFFFFFNN
% 9.39/2.35  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 9.39/2.35  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 9.39/2.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 9.39/2.35  # Starting new_bool_3 with 136s (1) cores
% 9.39/2.35  # Starting new_bool_1 with 136s (1) cores
% 9.39/2.35  # Starting sh5l with 136s (1) cores
% 9.39/2.35  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4214 completed with status 0
% 9.39/2.35  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.39/2.35  # Preprocessing class: FSLSSMSSSSSNFFN.
% 9.39/2.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.39/2.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.39/2.35  # No SInE strategy applied
% 9.39/2.35  # Search class: FGHPF-FFLM21-MFFFFFNN
% 9.39/2.35  # partial match(1): FGHPF-FSLM21-MFFFFFNN
% 9.39/2.35  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 9.39/2.35  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 9.39/2.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 9.39/2.35  # Preprocessing time       : 0.002 s
% 9.39/2.35  # Presaturation interreduction done
% 9.39/2.35  
% 9.39/2.35  # Proof found!
% 9.39/2.35  # SZS status Unsatisfiable
% 9.39/2.35  # SZS output start CNFRefutation
% See solution above
% 9.39/2.35  # Parsed axioms                        : 35
% 9.39/2.35  # Removed by relevancy pruning/SinE    : 0
% 9.39/2.35  # Initial clauses                      : 206
% 9.39/2.35  # Removed in clause preprocessing      : 0
% 9.39/2.35  # Initial clauses in saturation        : 206
% 9.39/2.35  # Processed clauses                    : 30606
% 9.39/2.35  # ...of these trivial                  : 217
% 9.39/2.35  # ...subsumed                          : 25429
% 9.39/2.35  # ...remaining for further processing  : 4959
% 9.39/2.35  # Other redundant clauses eliminated   : 0
% 9.39/2.35  # Clauses deleted for lack of memory   : 0
% 9.39/2.35  # Backward-subsumed                    : 2785
% 9.39/2.35  # Backward-rewritten                   : 1785
% 9.39/2.35  # Generated clauses                    : 157020
% 9.39/2.35  # ...of the previous two non-redundant : 151393
% 9.39/2.35  # ...aggressively subsumed             : 0
% 9.39/2.35  # Contextual simplify-reflections      : 253
% 9.39/2.35  # Paramodulations                      : 156439
% 9.39/2.35  # Factorizations                       : 462
% 9.39/2.35  # NegExts                              : 0
% 9.39/2.35  # Equation resolutions                 : 0
% 9.39/2.35  # Disequality decompositions           : 0
% 9.39/2.35  # Total rewrite steps                  : 14562
% 9.39/2.35  # ...of those cached                   : 14483
% 9.39/2.35  # Propositional unsat checks           : 0
% 9.39/2.35  #    Propositional check models        : 0
% 9.39/2.35  #    Propositional check unsatisfiable : 0
% 9.39/2.35  #    Propositional clauses             : 0
% 9.39/2.35  #    Propositional clauses after purity: 0
% 9.39/2.35  #    Propositional unsat core size     : 0
% 9.39/2.35  #    Propositional preprocessing time  : 0.000
% 9.39/2.35  #    Propositional encoding time       : 0.000
% 9.39/2.35  #    Propositional solver time         : 0.000
% 9.39/2.35  #    Success case prop preproc time    : 0.000
% 9.39/2.35  #    Success case prop encoding time   : 0.000
% 9.39/2.35  #    Success case prop solver time     : 0.000
% 9.39/2.35  # Current number of processed clauses  : 64
% 9.39/2.35  #    Positive orientable unit clauses  : 33
% 9.39/2.35  #    Positive unorientable unit clauses: 0
% 9.39/2.35  #    Negative unit clauses             : 22
% 9.39/2.35  #    Non-unit-clauses                  : 9
% 9.39/2.35  # Current number of unprocessed clauses: 117458
% 9.39/2.35  # ...number of literals in the above   : 850814
% 9.39/2.35  # Current number of archived formulas  : 0
% 9.39/2.35  # Current number of archived clauses   : 4895
% 9.39/2.35  # Clause-clause subsumption calls (NU) : 306234
% 9.39/2.35  # Rec. Clause-clause subsumption calls : 48732
% 9.39/2.35  # Non-unit clause-clause subsumptions  : 16347
% 9.39/2.35  # Unit Clause-clause subsumption calls : 1190
% 9.39/2.35  # Rewrite failures with RHS unbound    : 0
% 9.39/2.35  # BW rewrite match attempts            : 16
% 9.39/2.35  # BW rewrite match successes           : 16
% 9.39/2.35  # Condensation attempts                : 0
% 9.39/2.35  # Condensation successes               : 0
% 9.39/2.35  # Termbank termtop insertions          : 2567909
% 9.39/2.35  # Search garbage collected termcells   : 593
% 9.39/2.35  
% 9.39/2.35  # -------------------------------------------------
% 9.39/2.35  # User time                : 1.772 s
% 9.39/2.35  # System time              : 0.062 s
% 9.39/2.35  # Total time               : 1.834 s
% 9.39/2.35  # Maximum resident set size: 2080 pages
% 9.39/2.35  
% 9.39/2.35  # -------------------------------------------------
% 9.39/2.35  # User time                : 8.873 s
% 9.39/2.35  # System time              : 0.419 s
% 9.39/2.35  # Total time               : 9.291 s
% 9.39/2.35  # Maximum resident set size: 1884 pages
% 9.39/2.35  % E---3.1 exiting
%------------------------------------------------------------------------------