%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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 : Wed Aug 30 16:00:10 EDT 2023

% Result   : Unsatisfiable 17.12s 17.27s
% Output   : CNFRefutation 17.28s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    e0: $i ).

tff(decl_23,type,
    op: ( $i * $i ) > $i ).

tff(decl_24,type,
    e1: $i ).

tff(decl_25,type,
    e2: $i ).

tff(decl_26,type,
    e3: $i ).

tff(decl_27,type,
    unit: $i ).

tff(decl_28,type,
    inv: $i > $i ).

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/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(ax6,axiom,
    ( inv(inv(e0)) = e0
    & inv(inv(e1)) = e1
    & inv(inv(e2)) = e2
    & inv(inv(e3)) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(ax10,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

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/sandbox/benchmark/theBenchmark.p',ax9) ).

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/sandbox/benchmark/theBenchmark.p',ax2) ).

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/sandbox/benchmark/theBenchmark.p',ax3) ).

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/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(ax5,axiom,
    inv(unit) = unit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

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/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(ax30,axiom,
    ~ ( e3 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(ax34,axiom,
    ~ ( e3 = op(op(e0,op(e0,e0)),e0)
      & e2 = op(e0,op(e0,e0))
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(ax35,axiom,
    ~ ( e3 = op(op(e1,op(e1,e1)),e1)
      & e2 = op(e1,op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

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/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(ax24,axiom,
    ~ ( e2 = op(op(e1,op(e1,e1)),e1)
      & e0 = op(e1,op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(ax27,axiom,
    ~ ( e2 = op(op(e3,op(e3,e3)),e3)
      & e1 = op(e3,op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(ax19,axiom,
    ~ ( e1 = op(op(e3,op(e3,e3)),e3)
      & e0 = op(e3,op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(ax20,axiom,
    ~ ( e1 = op(op(e0,op(e0,e0)),e0)
      & e2 = op(e0,op(e0,e0))
      & e3 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(ax21,axiom,
    ~ ( e1 = op(op(e3,op(e3,e3)),e3)
      & e2 = op(e3,op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(ax12,axiom,
    ~ ( e0 = op(op(e2,op(e2,e2)),e2)
      & e1 = op(e2,op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(ax17,axiom,
    ~ ( e0 = op(op(e2,op(e2,e2)),e2)
      & e3 = op(e2,op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(ax13,axiom,
    ~ ( e0 = op(op(e3,op(e3,e3)),e3)
      & e1 = op(e3,op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

cnf(c_0_23,plain,
    op(e3,inv(e3)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_24,plain,
    ( inv(e3) = e0
    | inv(e3) = e1
    | inv(e3) = e2
    | inv(e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_25,plain,
    inv(inv(e3)) = e3,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_26,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e2
    | inv(e3) = e1
    | inv(e3) = e0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e3) = e1
    | inv(e2) = e3 ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_28,plain,
    op(e2,inv(e2)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_29,plain,
    ( inv(e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2
    | inv(e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_30,plain,
    ( op(e3,e3) = unit
    | inv(e2) = e3
    | inv(e3) = e0
    | inv(e1) = e3 ),
    inference(spm,[status(thm)],[c_0_25,c_0_27]) ).

cnf(c_0_31,plain,
    op(inv(e2),e2) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_32,plain,
    op(e1,inv(e1)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_33,plain,
    ( inv(e1) = e0
    | inv(e1) = e1
    | inv(e1) = e2
    | inv(e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_34,plain,
    ( op(e2,e3) = unit
    | inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( op(e3,e3) = unit
    | inv(e1) = e3
    | inv(e2) = e3
    | inv(e0) = e3 ),
    inference(spm,[status(thm)],[c_0_25,c_0_30]) ).

cnf(c_0_36,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[ax10]) ).

cnf(c_0_37,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[ax10]) ).

cnf(c_0_38,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[ax10]) ).

cnf(c_0_39,plain,
    op(inv(e1),e1) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_40,plain,
    ( op(e3,e2) = unit
    | inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_29]) ).

cnf(c_0_41,plain,
    ( op(e1,e3) = unit
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_42,plain,
    ( op(e3,e3) = unit
    | op(e2,e3) = unit
    | inv(e0) = e3
    | inv(e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).

cnf(c_0_43,plain,
    ( op(e3,e1) = unit
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_39,c_0_33]) ).

cnf(c_0_44,plain,
    ( op(e3,e2) = unit
    | op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_28,c_0_40]) ).

cnf(c_0_45,plain,
    ( op(e1,e3) = unit
    | op(e1,e2) = unit
    | inv(e1) = e0
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_32,c_0_41]) ).

cnf(c_0_46,plain,
    op(inv(e0),e0) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_47,plain,
    ( op(e2,e3) = unit
    | op(e3,e3) = unit
    | op(e1,e3) = unit
    | inv(e0) = e3 ),
    inference(spm,[status(thm)],[c_0_32,c_0_42]) ).

cnf(c_0_48,plain,
    ( op(e3,e1) = unit
    | op(e2,e1) = unit
    | inv(e1) = e0
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_43]) ).

cnf(c_0_49,plain,
    ( op(e2,e2) = unit
    | op(e3,e2) = unit
    | op(e2,e1) = unit
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_44]) ).

cnf(c_0_50,plain,
    ( op(e1,e2) = unit
    | op(e1,e3) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_45]) ).

cnf(c_0_51,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_52,plain,
    ( op(e1,e3) = unit
    | op(e3,e3) = unit
    | op(e2,e3) = unit
    | op(e3,e0) = unit ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_53,plain,
    ( op(e2,e1) = unit
    | op(e3,e1) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_48]) ).

cnf(c_0_54,plain,
    ( op(e2,e3) = unit
    | op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_28,c_0_34]) ).

cnf(c_0_55,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_56,plain,
    ( op(e2,e1) = unit
    | op(e3,e2) = unit
    | op(e2,e2) = unit
    | op(e2,e0) = unit ),
    inference(spm,[status(thm)],[c_0_28,c_0_49]) ).

cnf(c_0_57,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_58,plain,
    ( op(e1,e1) = unit
    | op(e1,e3) = unit
    | op(e1,e2) = unit
    | op(e0,e1) = unit ),
    inference(spm,[status(thm)],[c_0_39,c_0_50]) ).

cnf(c_0_59,plain,
    op(e1,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_60,plain,
    ( op(e3,e0) = unit
    | op(e2,e3) = unit
    | op(e1,e3) = unit
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_61,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_62,plain,
    ( op(e1,e1) = unit
    | op(e3,e1) = unit
    | op(e2,e1) = unit
    | op(e1,e0) = unit ),
    inference(spm,[status(thm)],[c_0_32,c_0_53]) ).

cnf(c_0_63,plain,
    ( op(e2,e2) = unit
    | op(e2,e3) = unit
    | op(e2,e1) = unit
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_54]) ).

cnf(c_0_64,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_65,plain,
    ( op(e2,e0) = unit
    | op(e2,e2) = unit
    | op(e2,e1) = unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_67,plain,
    ( op(e0,e1) = unit
    | op(e1,e2) = unit
    | op(e1,e1) = unit
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_68,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_69,plain,
    ( op(e1,e3) = unit
    | op(e2,e3) = unit
    | op(e1,e0) != unit
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_70,plain,
    op(e0,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

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

cnf(c_0_72,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_73,plain,
    ( op(e2,e1) = unit
    | op(e2,e3) = unit
    | op(e2,e2) = unit
    | op(e0,e2) = unit ),
    inference(spm,[status(thm)],[c_0_31,c_0_63]) ).

cnf(c_0_74,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_75,plain,
    ( op(e2,e1) = unit
    | op(e2,e0) = unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_76,plain,
    op(e1,e0) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_77,plain,
    ( op(e1,e1) = unit
    | op(e0,e1) = unit
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_78,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_79,plain,
    ( op(e1,e3) = unit
    | op(e0,e3) != unit
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_80,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_81,plain,
    ( op(e1,e1) = unit
    | op(e1,e0) = unit
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_82,plain,
    op(e2,e0) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_83,plain,
    ( op(e0,e2) = unit
    | op(e2,e2) = unit
    | op(e2,e1) = unit
    | op(e2,e0) != unit ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_84,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_85,plain,
    ( op(e2,e0) = unit
    | op(e2,e2) = unit
    | op(e2,e1) = unit
    | op(e1,e2) != unit ),
    inference(spm,[status(thm)],[c_0_74,c_0_56]) ).

cnf(c_0_86,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_87,plain,
    ( op(e2,e0) = unit
    | op(e0,e1) != unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_70,c_0_75]) ).

cnf(c_0_88,plain,
    ( op(e0,e1) = unit
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_89,plain,
    ( op(e0,e3) != unit
    | op(e1,e0) != unit ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_90,plain,
    ( op(e1,e0) = unit
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_91,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_92,plain,
    ( op(e2,e1) = unit
    | op(e0,e2) = unit
    | op(e2,e0) != unit ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_93,plain,
    ( op(e2,e1) = unit
    | op(e2,e0) = unit
    | op(e1,e2) != unit ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_94,plain,
    ( op(e1,e0) != unit
    | op(e0,e2) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_95,plain,
    op(op(e1,e0),e3) = op(e1,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_96,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_97,plain,
    ( op(e0,e3) != unit
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_98,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_99,plain,
    ( op(e0,e2) = unit
    | op(e2,e0) != unit ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_100,plain,
    ( op(e2,e0) = unit
    | op(e0,e1) != unit
    | op(e1,e2) != unit ),
    inference(spm,[status(thm)],[c_0_70,c_0_93]) ).

cnf(c_0_101,plain,
    ( op(e0,e2) != unit
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_94,c_0_90]) ).

cnf(c_0_102,plain,
    ( op(e1,op(e0,e3)) = e3
    | op(e0,e1) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_90]),c_0_96]) ).

cnf(c_0_103,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_104,plain,
    ( op(e0,e1) != unit
    | op(e1,e2) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).

cnf(c_0_105,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e1,e2) = e3
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_106,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_107,plain,
    ( op(e0,e3) = e0
    | op(e1,e1) = e3
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_102,c_0_106]) ).

cnf(c_0_108,plain,
    ( op(e0,e3) = e0
    | op(e1,e0) != e3
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_107]) ).

cnf(c_0_109,plain,
    ( op(e0,e3) = e0
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_108,c_0_90]) ).

cnf(c_0_110,plain,
    op(op(e1,e0),e2) = op(e1,op(e0,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_111,plain,
    ( op(e1,e0) = e3
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_102,c_0_109]) ).

cnf(c_0_112,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_113,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

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

cnf(c_0_115,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_116,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_117,plain,
    ( op(e1,op(e0,e2)) = op(e3,e2)
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_118,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_101,c_0_112]) ).

cnf(c_0_119,plain,
    ( op(e0,e2) != e0
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_113,c_0_109]) ).

cnf(c_0_120,plain,
    op(unit,e0) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_121,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_122,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_123,plain,
    ( op(e1,op(e0,e1)) = e1
    | op(e0,e1) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_90]),c_0_115]) ).

cnf(c_0_124,plain,
    ( op(e1,op(e0,e1)) = op(e3,e1)
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_114,c_0_111]) ).

cnf(c_0_125,plain,
    ( op(e1,op(e0,e2)) = e2
    | op(e0,e1) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_90]),c_0_116]) ).

cnf(c_0_126,plain,
    ( op(e0,e2) = e1
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_74]),c_0_119]) ).

cnf(c_0_127,plain,
    inv(unit) = unit,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_128,plain,
    op(op(e2,e0),e3) = op(e2,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_129,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_130,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_131,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_132,plain,
    ( op(e3,e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_133,plain,
    ( op(e2,e3) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_121]) ).

cnf(c_0_134,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_135,plain,
    ( op(e3,e1) = e1
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_136,plain,
    op(op(e1,e1),e1) = op(e1,op(e1,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_137,plain,
    ( op(e1,e1) = e2
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_138,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_139,plain,
    ( inv(e3) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_127,c_0_121]) ).

cnf(c_0_140,plain,
    ( op(e2,op(e0,e3)) = op(e3,e3)
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_141,plain,
    ( op(e0,e3) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_130,c_0_121]) ).

cnf(c_0_142,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_143,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_72,c_0_133]) ).

cnf(c_0_144,plain,
    inv(e2) != inv(e3),
    inference(split_conjunct,[status(thm)],[ax8]) ).

cnf(c_0_145,plain,
    ( op(e3,e2) = e2
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_125,c_0_117]) ).

cnf(c_0_146,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_147,plain,
    ( op(e2,e1) != e1
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_148,plain,
    ( op(e2,e1) = op(e1,e2)
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_149,plain,
    op(op(e1,e2),e3) = op(e1,op(e2,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_150,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_151,plain,
    ( op(e1,e3) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_138,c_0_121]) ).

cnf(c_0_152,plain,
    ( op(e3,e2) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_121]) ).

cnf(c_0_153,plain,
    ( op(e3,e3) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_23,c_0_139]) ).

cnf(c_0_154,plain,
    ( op(e3,e3) = op(e2,e0)
    | op(e2,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143]) ).

cnf(c_0_155,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_144,c_0_139]) ).

cnf(c_0_156,plain,
    op(op(e0,e2),e3) = op(e0,op(e2,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_157,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[ax30]) ).

cnf(c_0_158,plain,
    ( op(e1,e2) != e2
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_74,c_0_145]) ).

cnf(c_0_159,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_104,c_0_146]) ).

cnf(c_0_160,plain,
    ( op(e1,e2) != e1
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_161,plain,
    op(op(e0,e1),e3) = op(e0,op(e1,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_162,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_163,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_164,plain,
    ( op(e3,e1) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_121]) ).

cnf(c_0_165,plain,
    ( op(e1,op(e2,e3)) = op(e3,e3)
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_146]) ).

cnf(c_0_166,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_167,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_74,c_0_152]) ).

cnf(c_0_168,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_169,plain,
    ( inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_29]) ).

cnf(c_0_170,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_171,plain,
    inv(e0) != inv(e3),
    inference(split_conjunct,[status(thm)],[ax8]) ).

cnf(c_0_172,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_156,c_0_112]) ).

cnf(c_0_173,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_113,c_0_141]) ).

cnf(c_0_174,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_55,c_0_152]) ).

cnf(c_0_175,plain,
    op(op(e2,e1),e3) = op(e2,op(e1,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_176,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_177,plain,
    op(e2,e1) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_178,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_157]) ).

cnf(c_0_179,plain,
    op(op(e1,e2),e1) = op(e1,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_180,plain,
    ( op(e1,e2) = e0
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).

cnf(c_0_181,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_161,c_0_162]) ).

cnf(c_0_182,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_163,c_0_141]) ).

cnf(c_0_183,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_61,c_0_164]) ).

cnf(c_0_184,plain,
    ( op(e3,e3) = op(e1,e2)
    | op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_133]),c_0_166]),c_0_167]) ).

cnf(c_0_185,plain,
    op(e0,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_186,plain,
    ( op(e2,e0) = e1
    | op(e0,e2) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_99,c_0_168]) ).

cnf(c_0_187,plain,
    ( op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_28,c_0_169]) ).

cnf(c_0_188,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_95,c_0_170]) ).

cnf(c_0_189,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_132]) ).

cnf(c_0_190,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_57,c_0_151]) ).

cnf(c_0_191,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_171,c_0_139]) ).

cnf(c_0_192,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2
    | inv(e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_193,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_172,c_0_133]),c_0_173]),c_0_174]) ).

cnf(c_0_194,plain,
    ( op(e2,op(e1,e3)) = op(e3,e3)
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_195,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_134,c_0_164]) ).

cnf(c_0_196,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_177,c_0_133]) ).

cnf(c_0_197,plain,
    ( op(e1,op(e2,e1)) != e3
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_137]),c_0_179]),c_0_180]) ).

cnf(c_0_198,plain,
    ( op(e1,op(e2,e1)) = op(e0,e1)
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_199,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_181,c_0_151]),c_0_182]),c_0_183]) ).

cnf(c_0_200,plain,
    op(op(e1,e2),e0) = op(e1,op(e2,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_201,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_184]) ).

cnf(c_0_202,plain,
    op(op(e0,e2),e2) = op(e0,op(e2,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_203,plain,
    ( op(e0,e2) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_204,plain,
    ( op(e2,e2) = unit
    | op(e2,e1) = unit
    | inv(e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_187]) ).

fof(c_0_205,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)],[ax11]) ).

cnf(c_0_206,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_207,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_188,c_0_141]),c_0_189]),c_0_190]) ).

cnf(c_0_208,plain,
    op(e0,inv(e0)) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_209,plain,
    ( inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_210,plain,
    op(op(e0,e2),e1) = op(e0,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_211,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_193]) ).

cnf(c_0_212,plain,
    ( op(e3,e3) = op(e2,e1)
    | op(e2,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_151]),c_0_195]),c_0_196]) ).

cnf(c_0_213,plain,
    ( op(e0,e1) != e3
    | op(e0,e1) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_214,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_199]) ).

cnf(c_0_215,plain,
    ( op(e1,op(e2,e0)) = e0
    | op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_120]) ).

cnf(c_0_216,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[ax10]) ).

cnf(c_0_217,plain,
    ( op(e0,op(e2,e2)) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_116]) ).

cnf(c_0_218,plain,
    ( op(e2,e1) = unit
    | op(e2,e2) = unit
    | op(e2,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_28,c_0_204]) ).

cnf(c_0_219,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[ax10]) ).

cnf(c_0_220,plain,
    ( op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_205]) ).

cnf(c_0_221,plain,
    ( op(e3,e3) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_121]) ).

cnf(c_0_222,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_223,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_224,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_207]) ).

cnf(c_0_225,plain,
    ( op(e0,e2) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_226,plain,
    ( op(e0,op(e2,e1)) = e1
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_115]) ).

cnf(c_0_227,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_212]) ).

cnf(c_0_228,plain,
    op(op(e0,e1),e2) = op(e0,op(e1,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_229,plain,
    ( op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_121]) ).

cnf(c_0_230,plain,
    ( op(e2,e0) = e1
    | op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_168]),c_0_138]),c_0_216]) ).

cnf(c_0_231,plain,
    ( op(e0,op(e2,e1)) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_203]),c_0_115]) ).

cnf(c_0_232,plain,
    ( op(e2,e0) = unit
    | op(e2,e1) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_130]),c_0_219]) ).

cnf(c_0_233,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_234,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_235,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_222,c_0_133]) ).

cnf(c_0_236,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_223,c_0_112]) ).

cnf(c_0_237,plain,
    op(e1,e1) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_238,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_239,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_240,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_241,plain,
    op(op(e0,e1),e0) = op(e0,op(e1,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_242,plain,
    ( op(e1,op(e0,e1)) = e1
    | op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_224]),c_0_115]) ).

cnf(c_0_243,plain,
    ( op(e0,e2) = unit
    | op(e0,e1) = unit
    | inv(e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_225]) ).

cnf(c_0_244,plain,
    ( op(e2,e1) = e0
    | op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_130]),c_0_216]) ).

cnf(c_0_245,plain,
    ( op(e0,op(e1,e2)) = op(e2,e2)
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_246,plain,
    ( op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_185,c_0_230]) ).

cnf(c_0_247,plain,
    ( op(e2,e0) = unit
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_130]),c_0_216]) ).

cnf(c_0_248,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e3
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).

cnf(c_0_249,plain,
    ( op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_236]),c_0_173]) ).

cnf(c_0_250,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_237,c_0_146]) ).

cnf(c_0_251,plain,
    ( op(e1,op(e1,e3)) = op(e3,e3)
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_252,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_240,c_0_151]) ).

cnf(c_0_253,plain,
    ( op(e0,op(e1,e0)) = op(e2,e0)
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_241,c_0_229]) ).

cnf(c_0_254,plain,
    ( op(e1,e0) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_229]),c_0_166]) ).

cnf(c_0_255,plain,
    ( op(e0,e1) = unit
    | op(e0,e2) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_243]) ).

cnf(c_0_256,plain,
    ( op(e0,e2) = e1
    | op(e0,e0) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_226,c_0_244]) ).

fof(c_0_257,plain,
    ( e3 != op(op(e0,op(e0,e0)),e0)
    | e2 != op(e0,op(e0,e0))
    | e1 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[ax34]) ).

cnf(c_0_258,plain,
    ( op(e2,e2) = op(e0,e0)
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_259,plain,
    ( op(e2,op(e0,e3)) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_247]),c_0_96]) ).

cnf(c_0_260,plain,
    ( op(e0,e2) = unit
    | op(e1,e0) = unit
    | inv(e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_225]) ).

cnf(c_0_261,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_262,plain,
    ( op(e2,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e3
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_248]),c_0_249]) ).

cnf(c_0_263,plain,
    ( op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_250,c_0_201]) ).

cnf(c_0_264,plain,
    ( op(e3,e3) = op(e1,e1)
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_151]),c_0_252]) ).

cnf(c_0_265,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_266,plain,
    op(op(e2,e0),e0) = op(e2,op(e0,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_267,plain,
    ( op(e2,e0) = op(e0,e2)
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_268,plain,
    op(op(e0,e2),e0) = op(e0,op(e2,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_269,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = unit
    | op(e0,e1) = unit
    | unit = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_270,plain,
    ( e3 != op(op(e0,op(e0,e0)),e0)
    | e2 != op(e0,op(e0,e0))
    | e1 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_257]) ).

cnf(c_0_271,plain,
    ( op(e0,op(e0,e0)) = e2
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_217,c_0_258]) ).

cnf(c_0_272,plain,
    ( op(e2,e0) = e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_259,c_0_141]) ).

cnf(c_0_273,plain,
    ( op(e1,e0) = unit
    | op(e0,e2) = unit
    | op(e0,e0) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_208,c_0_260]) ).

cnf(c_0_274,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_261,c_0_234]) ).

cnf(c_0_275,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e3
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_262]),c_0_263]) ).

cnf(c_0_276,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_221,c_0_264]) ).

cnf(c_0_277,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_265,c_0_162]) ).

cnf(c_0_278,plain,
    ( op(e2,op(e0,e0)) = op(e0,op(e2,e0))
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]) ).

cnf(c_0_279,plain,
    ( op(e0,e0) = unit
    | op(e0,e0) = e1
    | unit = e1
    | unit = e0
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_269,c_0_229]) ).

cnf(c_0_280,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).

cnf(c_0_281,plain,
    ( op(e0,e0) = unit
    | op(e0,e2) = unit
    | unit = e1
    | unit = e0
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_273,c_0_254]) ).

cnf(c_0_282,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_235,c_0_274]) ).

cnf(c_0_283,plain,
    op(op(e0,e1),e1) = op(e0,op(e1,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_284,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_285,plain,
    ( op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_277,c_0_214]) ).

cnf(c_0_286,plain,
    ( op(e0,op(e2,e0)) = e0
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_211]),c_0_120]) ).

cnf(c_0_287,plain,
    ( op(e0,op(e2,e0)) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_122]),c_0_280]) ).

cnf(c_0_288,plain,
    ( op(e0,op(e2,e0)) = e0
    | op(e0,e0) = unit
    | unit = e2
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_281]),c_0_120]) ).

cnf(c_0_289,plain,
    ( op(e2,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e2) != e1
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_64,c_0_282]) ).

cnf(c_0_290,plain,
    ( op(e0,op(e1,e1)) = op(e2,e1)
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_229]) ).

cnf(c_0_291,plain,
    ( op(e1,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_284]),c_0_285]) ).

cnf(c_0_292,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_221,c_0_184]) ).

cnf(c_0_293,plain,
    ( op(e1,op(e0,e2)) = op(e2,e2)
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_110,c_0_254]) ).

cnf(c_0_294,plain,
    ( op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_219]) ).

cnf(c_0_295,plain,
    op(op(e0,e0),e3) = op(e0,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_296,plain,
    ( op(e0,e0) = unit
    | unit = e1
    | unit = e0
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_287]),c_0_219]) ).

cnf(c_0_297,plain,
    ( op(e2,e2) = unit
    | op(e2,e3) = unit
    | op(e1,e2) = unit
    | inv(e2) = e0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_54]) ).

cnf(c_0_298,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e2) != e0
    | op(e0,e2) != e1
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_84,c_0_289]) ).

cnf(c_0_299,plain,
    ( op(e2,e1) = op(e0,e0)
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_300,plain,
    ( op(e2,e2) = op(e0,e3)
    | op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_245,c_0_292]) ).

cnf(c_0_301,plain,
    ( op(e2,e2) = op(e1,e1)
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_294]) ).

cnf(c_0_302,plain,
    ( op(e0,op(e0,e3)) = e3
    | unit = e2
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_96]) ).

cnf(c_0_303,plain,
    ( op(e1,e2) = unit
    | op(e2,e3) = unit
    | op(e2,e2) = unit
    | op(e2,e0) = unit ),
    inference(spm,[status(thm)],[c_0_28,c_0_297]) ).

cnf(c_0_304,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e2) != e0
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_249]) ).

cnf(c_0_305,plain,
    ( op(e1,e1) = op(e0,e3)
    | op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_306,plain,
    ( op(e0,e0) = e3
    | unit = e1
    | unit = e0
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_302,c_0_141]) ).

cnf(c_0_307,plain,
    ( op(e2,e0) = unit
    | op(e2,e2) = unit
    | op(e1,e2) = unit
    | op(e2,e1) != unit ),
    inference(spm,[status(thm)],[c_0_177,c_0_303]) ).

cnf(c_0_308,plain,
    ( op(e1,e1) = op(e0,e3)
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]) ).

cnf(c_0_309,plain,
    ( op(e1,e2) = unit
    | op(e2,e0) = unit
    | op(e2,e1) != unit ),
    inference(spm,[status(thm)],[c_0_261,c_0_307]) ).

cnf(c_0_310,plain,
    ( op(e2,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) != unit ),
    inference(spm,[status(thm)],[c_0_91,c_0_227]) ).

cnf(c_0_311,plain,
    ( op(e0,op(e0,e3)) = op(e2,e1)
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_290,c_0_308]) ).

cnf(c_0_312,plain,
    ( op(e2,e1) = e0
    | op(e1,e2) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_227]),c_0_310]) ).

cnf(c_0_313,plain,
    ( op(e2,e1) = e3
    | unit = e1
    | unit = e0
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_302,c_0_311]) ).

cnf(c_0_314,plain,
    op(op(e2,e1),e2) = op(e2,op(e1,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_315,plain,
    op(op(e1,e2),e2) = op(e1,op(e2,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_316,plain,
    ( op(e1,e2) = unit
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_38]) ).

cnf(c_0_317,plain,
    ( op(e2,op(e1,e2)) = e2
    | op(e2,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_227]),c_0_116]) ).

cnf(c_0_318,plain,
    ( op(e1,e2) = e0
    | op(e1,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_215,c_0_230]) ).

fof(c_0_319,plain,
    ( e3 != op(op(e1,op(e1,e1)),e1)
    | e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[ax35]) ).

cnf(c_0_320,plain,
    ( op(e1,op(e2,e2)) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_116]) ).

cnf(c_0_321,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_143]) ).

cnf(c_0_322,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_319]) ).

cnf(c_0_323,plain,
    ( op(e1,op(e1,e1)) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_301]) ).

cnf(c_0_324,plain,
    ( op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_313]),c_0_38]) ).

cnf(c_0_325,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_326,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_327,plain,
    op(op(e3,e1),e2) = op(e3,op(e1,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_328,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_329,plain,
    ( unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]),c_0_313]) ).

cnf(c_0_330,plain,
    op(e3,e0) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_331,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_332,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_327,c_0_328]) ).

cnf(c_0_333,plain,
    ( op(e1,e2) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_138,c_0_329]) ).

cnf(c_0_334,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

fof(c_0_335,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]) ).

cnf(c_0_336,plain,
    op(op(e3,e3),e3) = op(e3,op(e3,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_337,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e0) != e2
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_338,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_339,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]) ).

cnf(c_0_340,plain,
    op(op(e3,e0),e2) = op(e3,op(e0,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_341,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

fof(c_0_342,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)],[c_0_335]) ).

cnf(c_0_343,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_344,plain,
    ( op(e3,e3) = unit
    | op(e3,e2) = unit
    | inv(e0) = e3
    | inv(e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).

cnf(c_0_345,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_346,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e3) = e0
    | op(e3,e0) != e2
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_347,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | unit = e1
    | unit = e0
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_338,c_0_339]) ).

cnf(c_0_348,plain,
    ( op(e2,e1) = e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_329]) ).

cnf(c_0_349,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_340,c_0_341]) ).

cnf(c_0_350,plain,
    ( op(e0,e2) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_130,c_0_329]) ).

cnf(c_0_351,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_352,plain,
    inv(e1) != inv(e3),
    inference(split_conjunct,[status(thm)],[ax8]) ).

cnf(c_0_353,plain,
    ( inv(e3) = e0
    | inv(e0) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_354,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_355,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_343,c_0_326]) ).

cnf(c_0_356,plain,
    ( op(e3,e2) = unit
    | op(e3,e3) = unit
    | op(e3,e1) = unit
    | inv(e0) = e3 ),
    inference(spm,[status(thm)],[c_0_39,c_0_344]) ).

cnf(c_0_357,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e1) != e0
    | op(e3,e0) != e2
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_358,plain,
    ( op(e3,e1) = e0
    | unit = e0
    | unit = e1
    | op(e3,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_347]),c_0_348]) ).

cnf(c_0_359,plain,
    ( op(e2,e3) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_329]) ).

cnf(c_0_360,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).

cnf(c_0_361,plain,
    inv(e0) != inv(e1),
    inference(split_conjunct,[status(thm)],[ax8]) ).

cnf(c_0_362,plain,
    ( inv(e1) != e0
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_363,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_57,c_0_354]) ).

cnf(c_0_364,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_66,c_0_146]) ).

cnf(c_0_365,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e0) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_330,c_0_355]) ).

cnf(c_0_366,plain,
    ( op(e3,e1) = unit
    | op(e3,e3) = unit
    | op(e3,e2) = unit
    | op(e0,e3) = unit ),
    inference(spm,[status(thm)],[c_0_208,c_0_356]) ).

cnf(c_0_367,plain,
    ( op(e1,e3) = unit
    | op(e2,e1) = unit
    | inv(e1) = e0
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_41]) ).

cnf(c_0_368,plain,
    ( op(e1,e3) = e0
    | unit = e1
    | unit = e0
    | op(e3,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]) ).

cnf(c_0_369,plain,
    op(e0,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_370,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e1
    | unit = e0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_59,c_0_360]) ).

cnf(c_0_371,plain,
    inv(inv(e1)) = e1,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_372,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_33]),c_0_362]) ).

cnf(c_0_373,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_57,c_0_363]) ).

cnf(c_0_374,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_66,c_0_364]) ).

cnf(c_0_375,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_376,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e3) = e0
    | op(e3,e0) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_336,c_0_365]) ).

cnf(c_0_377,plain,
    ( op(e0,e3) = unit
    | op(e3,e2) = unit
    | op(e3,e1) = unit
    | op(e3,e0) != unit ),
    inference(spm,[status(thm)],[c_0_330,c_0_366]) ).

cnf(c_0_378,plain,
    ( op(e2,e1) = unit
    | op(e1,e3) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_367]) ).

cnf(c_0_379,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e1,e3) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_368,c_0_360]) ).

cnf(c_0_380,plain,
    ( op(e3,e0) = e0
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_369,c_0_370]) ).

cnf(c_0_381,plain,
    ( op(e2,e0) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_120,c_0_329]) ).

cnf(c_0_382,plain,
    ( inv(e1) = e1
    | inv(e2) = e1
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_383,plain,
    ( inv(e2) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_127,c_0_329]) ).

cnf(c_0_384,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[ax10]) ).

cnf(c_0_385,plain,
    ( op(e3,e3) = unit
    | op(e3,e1) = unit
    | inv(e2) = e3
    | inv(e3) = e0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_27]) ).

cnf(c_0_386,plain,
    ( op(e1,e3) = e0
    | op(e1,e1) != e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_240,c_0_373]) ).

cnf(c_0_387,plain,
    ( op(e1,e2) = e0
    | op(e1,e1) != e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_237,c_0_374]) ).

cnf(c_0_388,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_239]) ).

cnf(c_0_389,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_61,c_0_328]) ).

cnf(c_0_390,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_176]) ).

cnf(c_0_391,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e1,e3) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_375,c_0_355]) ).

cnf(c_0_392,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e1) != e0
    | op(e3,e0) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_345,c_0_376]) ).

cnf(c_0_393,plain,
    ( op(e3,e2) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_329]) ).

cnf(c_0_394,plain,
    ( op(e3,e1) = unit
    | op(e0,e3) = unit
    | op(e3,e0) != unit ),
    inference(spm,[status(thm)],[c_0_351,c_0_377]) ).

cnf(c_0_395,plain,
    ( op(e1,e1) = unit
    | op(e1,e3) = unit
    | op(e2,e1) = unit
    | op(e0,e1) = unit ),
    inference(spm,[status(thm)],[c_0_39,c_0_378]) ).

cnf(c_0_396,plain,
    ( op(e1,e3) = e0
    | op(e3,e0) = e0
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_369,c_0_379]) ).

cnf(c_0_397,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e0) != e1
    | op(e1,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_380]),c_0_381]) ).

cnf(c_0_398,plain,
    ( op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_125,c_0_350]) ).

cnf(c_0_399,plain,
    ( inv(e1) = e1
    | unit = e0
    | unit = e1
    | inv(e0) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]) ).

cnf(c_0_400,plain,
    ( op(e3,e1) = unit
    | op(e3,e3) = unit
    | inv(e2) = e3
    | inv(e0) = e3 ),
    inference(spm,[status(thm)],[c_0_25,c_0_385]) ).

cnf(c_0_401,plain,
    ( op(e1,e1) != e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_386]),c_0_387]) ).

cnf(c_0_402,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_388]) ).

cnf(c_0_403,plain,
    op(e1,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_404,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_61,c_0_389]) ).

cnf(c_0_405,plain,
    op(e1,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_406,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_390]) ).

cnf(c_0_407,plain,
    ( op(e3,e3) = e0
    | op(e3,e0) != e1
    | op(e1,e3) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_330,c_0_391]) ).

cnf(c_0_408,plain,
    ( op(e3,e1) = op(e1,e3)
    | unit = e0
    | unit = e1
    | op(e3,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_358]) ).

cnf(c_0_409,plain,
    ( op(e0,e3) = unit
    | op(e3,e0) != unit ),
    inference(spm,[status(thm)],[c_0_338,c_0_394]) ).

cnf(c_0_410,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_59,c_0_341]) ).

cnf(c_0_411,plain,
    ( op(e0,e1) = unit
    | op(e1,e3) = unit
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_395,c_0_348]) ).

cnf(c_0_412,plain,
    ( op(e1,e3) = e0
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_396]),c_0_381]) ).

cnf(c_0_413,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e0) != e1
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_414,plain,
    ( op(e1,e1) = unit
    | unit = e1
    | unit = e0
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_32,c_0_399]) ).

cnf(c_0_415,plain,
    ( op(e3,e3) = unit
    | op(e3,e1) = unit
    | inv(e0) = e3
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_383]),c_0_36]) ).

cnf(c_0_416,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) != e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_150,c_0_373]) ).

cnf(c_0_417,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_418,plain,
    ( op(e3,e1) = e0
    | op(e1,e1) != e1
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_419,plain,
    ( op(e2,e1) = e0
    | op(e1,e1) != e1
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_420,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_80,c_0_239]) ).

cnf(c_0_421,plain,
    ( op(e0,e3) != e0
    | op(e3,e0) != e1
    | op(e1,e3) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_407]) ).

cnf(c_0_422,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e0) != op(e1,e3)
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_338,c_0_408]) ).

cnf(c_0_423,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e0,e3) = unit
    | op(e1,e0) != e3
    | unit != e2 ),
    inference(spm,[status(thm)],[c_0_409,c_0_410]) ).

cnf(c_0_424,plain,
    ( op(e1,e1) = unit
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_413]) ).

cnf(c_0_425,plain,
    ( op(e3,e1) = unit
    | op(e3,e3) = unit
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_414,c_0_415]) ).

cnf(c_0_426,plain,
    ( op(e1,e2) != e1
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_416]),c_0_417]) ).

cnf(c_0_427,plain,
    ( op(e1,e1) != e1
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_418]),c_0_419]) ).

cnf(c_0_428,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_80,c_0_420]) ).

cnf(c_0_429,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) != e0
    | op(e3,e0) != e1
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_421,c_0_393]) ).

cnf(c_0_430,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e0
    | unit = e1
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_422,c_0_360]) ).

cnf(c_0_431,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_432,plain,
    ( op(e0,e3) = unit
    | op(e3,e0) = e0
    | op(e0,e0) != e1
    | op(e1,e0) != e3
    | unit != e2 ),
    inference(spm,[status(thm)],[c_0_369,c_0_423]) ).

cnf(c_0_433,plain,
    ( op(e1,op(e1,e3)) = e3
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_424]),c_0_96]) ).

cnf(c_0_434,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e3) = e1
    | inv(e2) != e2 ),
    inference(spm,[status(thm)],[c_0_144,c_0_26]) ).

cnf(c_0_435,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | unit = e1
    | unit = e0
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_61,c_0_339]) ).

cnf(c_0_436,plain,
    ( op(e1,e1) = unit
    | op(e3,e1) = unit
    | unit = e1
    | unit = e0
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_375,c_0_425]) ).

cnf(c_0_437,plain,
    ( op(e1,e1) = unit
    | op(e1,e3) = unit
    | op(e2,e1) = unit
    | op(e1,e0) = unit ),
    inference(spm,[status(thm)],[c_0_32,c_0_378]) ).

cnf(c_0_438,plain,
    ( op(e1,e2) = e0
    | op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_426,c_0_374]) ).

cnf(c_0_439,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_427,c_0_428]) ).

cnf(c_0_440,plain,
    ( op(e3,e0) = e0
    | unit = e1
    | unit = e0
    | op(e0,e3) != e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_441,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_431,c_0_359]) ).

cnf(c_0_442,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e3) = e0
    | op(e1,e3) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_336,c_0_391]) ).

cnf(c_0_443,plain,
    ( op(e0,e3) = unit
    | op(e2,e0) != e0
    | op(e0,e0) != e1
    | op(e1,e0) != e3
    | unit != e2 ),
    inference(spm,[status(thm)],[c_0_131,c_0_432]) ).

cnf(c_0_444,plain,
    ( op(e1,e0) = e3
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_433,c_0_412]) ).

cnf(c_0_445,plain,
    ( op(e3,e3) = unit
    | op(e3,e1) = unit
    | inv(e3) = e0
    | inv(e2) != e2 ),
    inference(spm,[status(thm)],[c_0_23,c_0_434]) ).

cnf(c_0_446,plain,
    op(op(e3,e1),e1) = op(e3,op(e1,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_447,plain,
    ( op(e3,e1) = e0
    | unit = e0
    | unit = e1
    | op(e0,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_435]),c_0_348]) ).

cnf(c_0_448,plain,
    ( op(e1,e1) = unit
    | unit = e0
    | unit = e1
    | op(e0,e1) != e2
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_435,c_0_436]) ).

cnf(c_0_449,plain,
    ( op(e1,e0) = unit
    | op(e1,e3) = unit
    | op(e1,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_437,c_0_348]) ).

cnf(c_0_450,plain,
    ( op(e1,e0) != e2
    | op(e1,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_438]),c_0_417]) ).

cnf(c_0_451,plain,
    ( op(e1,e0) = op(e0,e1)
    | op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_136,c_0_439]) ).

cnf(c_0_452,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) != e0
    | op(e1,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_440]),c_0_381]) ).

cnf(c_0_453,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_441,c_0_354]) ).

cnf(c_0_454,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e1) != e0
    | op(e1,e3) != e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_345,c_0_442]) ).

cnf(c_0_455,plain,
    op(op(e0,e3),e3) = op(e0,op(e3,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_456,plain,
    ( op(e0,e3) = unit
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_381]),c_0_329]),c_0_444]) ).

cnf(c_0_457,plain,
    ( op(e3,e1) = unit
    | op(e3,e3) = unit
    | op(e3,e0) = unit
    | inv(e2) != e2 ),
    inference(spm,[status(thm)],[c_0_23,c_0_445]) ).

cnf(c_0_458,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | unit = e1
    | unit = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_403,c_0_339]) ).

cnf(c_0_459,plain,
    ( op(e1,e1) = unit
    | op(e1,e3) = unit
    | op(e1,e2) = unit
    | op(e1,e0) = unit ),
    inference(spm,[status(thm)],[c_0_32,c_0_50]) ).

cnf(c_0_460,plain,
    ( op(e3,op(e1,e1)) = op(e0,e1)
    | unit = e1
    | unit = e0
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_446,c_0_447]) ).

cnf(c_0_461,plain,
    ( op(e1,e0) = unit
    | op(e1,e1) = unit
    | unit = e1
    | unit = e0
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_448,c_0_449]) ).

cnf(c_0_462,plain,
    ( op(e0,e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_463,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_68,c_0_359]) ).

cnf(c_0_464,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e1
    | unit = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_465,plain,
    ( op(e3,e1) = op(e1,e3)
    | unit = e0
    | unit = e1
    | op(e3,e1) != e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_454,c_0_393]) ).

cnf(c_0_466,plain,
    op(op(e0,e3),e1) = op(e0,op(e3,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_467,plain,
    ( op(e0,op(e3,e3)) = e3
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_96]) ).

cnf(c_0_468,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | op(e3,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_457,c_0_383]) ).

cnf(c_0_469,plain,
    ( op(e3,e1) = e0
    | unit = e0
    | unit = e1
    | op(e1,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_458]),c_0_348]) ).

cnf(c_0_470,plain,
    ( op(e1,e0) = unit
    | op(e1,e2) = unit
    | op(e1,e1) = unit
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_78,c_0_459]) ).

cnf(c_0_471,plain,
    ( op(e1,e0) = unit
    | unit = e0
    | unit = e1
    | op(e0,e1) != e2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_206]),c_0_462]) ).

cnf(c_0_472,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_463,c_0_98]) ).

cnf(c_0_473,plain,
    ( op(e1,e3) = e0
    | unit = e0
    | unit = e1
    | op(e0,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_464]),c_0_333]) ).

cnf(c_0_474,plain,
    ( op(e1,e3) = e0
    | unit = e1
    | unit = e0
    | op(e1,e3) != e2
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_465,c_0_447]) ).

cnf(c_0_475,plain,
    ( op(e0,op(e3,e1)) = e1
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_456]),c_0_115]) ).

cnf(c_0_476,plain,
    ( op(e3,e1) = unit
    | op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_468]),c_0_130]),c_0_38]) ).

cnf(c_0_477,plain,
    ( op(e3,op(e1,e1)) = op(e0,e1)
    | unit = e1
    | unit = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_446,c_0_469]) ).

cnf(c_0_478,plain,
    ( op(e1,e1) = unit
    | unit = e0
    | unit = e1
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_333]),c_0_89]) ).

fof(c_0_479,plain,
    ( e2 != op(op(e1,op(e1,e1)),e1)
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[ax24]) ).

cnf(c_0_480,plain,
    ( op(e1,op(e0,e3)) = e3
    | unit = e1
    | unit = e0
    | op(e0,e1) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_471]),c_0_96]) ).

cnf(c_0_481,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | unit = e0
    | unit = e1
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_163,c_0_472]) ).

cnf(c_0_482,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_78,c_0_473]) ).

cnf(c_0_483,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e0
    | unit = e1
    | op(e0,e1) != e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_453]),c_0_219]) ).

cnf(c_0_484,plain,
    op(op(e3,e0),e1) = op(e3,op(e0,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_485,plain,
    ( op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_130]),c_0_216]) ).

cnf(c_0_486,plain,
    ( op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_206]),c_0_329]) ).

cnf(c_0_487,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_479]) ).

cnf(c_0_488,plain,
    ( op(e1,e1) = e3
    | unit = e0
    | unit = e1
    | op(e0,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_482]) ).

cnf(c_0_489,plain,
    op(op(e1,e3),e1) = op(e1,op(e3,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_490,plain,
    ( op(e1,e3) = e0
    | unit = e1
    | unit = e0
    | op(e0,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_483]),c_0_333]) ).

cnf(c_0_491,plain,
    ( op(e1,op(e0,e2)) = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_471]),c_0_116]) ).

fof(c_0_492,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[ax25]) ).

cnf(c_0_493,plain,
    ( op(e3,op(e0,e1)) = e1
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_115]) ).

cnf(c_0_494,plain,
    ( op(e0,e1) = e3
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_486,c_0_456]) ).

cnf(c_0_495,plain,
    ( unit = e1
    | unit = e0
    | op(e1,op(e3,e1)) != e2
    | op(e0,e1) != e2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_489]),c_0_490]) ).

cnf(c_0_496,plain,
    ( op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_491,c_0_350]) ).

cnf(c_0_497,plain,
    op(e0,e1) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_498,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_492]) ).

cnf(c_0_499,plain,
    ( op(e3,e3) = e1
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_493,c_0_494]) ).

cnf(c_0_500,plain,
    op(op(e3,e1),e3) = op(e3,op(e1,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_501,plain,
    ( op(e3,op(e0,e2)) = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_485]),c_0_116]) ).

cnf(c_0_502,plain,
    ( op(e3,e1) = unit
    | op(e3,e0) = unit
    | unit = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_51,c_0_468]) ).

cnf(c_0_503,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_447]),c_0_496]) ).

cnf(c_0_504,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_497,c_0_350]) ).

cnf(c_0_505,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_70,c_0_348]) ).

cnf(c_0_506,plain,
    ( unit = e1
    | unit = e0
    | op(e3,op(e1,e3)) != e2
    | op(e3,e1) != e0
    | op(e0,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_500]) ).

cnf(c_0_507,plain,
    ( op(e3,e0) = e2
    | unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_501,c_0_350]) ).

cnf(c_0_508,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_192]) ).

cnf(c_0_509,plain,
    op(op(e3,e0),e0) = op(e3,op(e0,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_510,plain,
    ( op(e3,e0) = unit
    | unit = e0
    | unit = e1
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_502]),c_0_478]) ).

cnf(c_0_511,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_277]),c_0_504]),c_0_505]) ).

cnf(c_0_512,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_513,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e0) != e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_412]),c_0_358]),c_0_507]) ).

cnf(c_0_514,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_223,c_0_350]) ).

cnf(c_0_515,plain,
    ( op(e0,e3) = unit
    | op(e2,e0) = unit
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_46,c_0_508]) ).

cnf(c_0_516,plain,
    op(op(e1,e0),e0) = op(e1,op(e0,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_517,plain,
    ( op(e3,op(e0,e0)) = e0
    | unit = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_120]) ).

cnf(c_0_518,plain,
    ( op(e0,e0) = e2
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_513]),c_0_514]) ).

cnf(c_0_519,plain,
    ( op(e2,e0) = unit
    | op(e0,e3) = unit
    | op(e0,e1) = unit
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_515]) ).

cnf(c_0_520,plain,
    ( op(e1,op(e0,e0)) = e0
    | op(e0,e1) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_90]),c_0_120]) ).

cnf(c_0_521,plain,
    ( op(e3,e2) = e0
    | unit = e0
    | unit = e1
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_522,plain,
    ( op(e0,e1) = unit
    | op(e0,e3) = unit
    | op(e2,e0) = unit
    | op(e0,e0) = unit ),
    inference(spm,[status(thm)],[c_0_208,c_0_519]) ).

cnf(c_0_523,plain,
    ( op(e1,e2) = e0
    | unit = e1
    | unit = e0
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_520,c_0_518]) ).

cnf(c_0_524,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) != unit ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_521]),c_0_38]) ).

cnf(c_0_525,plain,
    ( op(e0,e0) = unit
    | op(e0,e3) = unit
    | op(e0,e1) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_381]) ).

cnf(c_0_526,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) != unit ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_523]),c_0_216]) ).

cnf(c_0_527,plain,
    ( op(e0,e0) = unit
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_526]) ).

cnf(c_0_528,plain,
    ( op(e0,op(e0,e3)) = e3
    | unit = e0
    | unit = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_527]),c_0_96]) ).

cnf(c_0_529,plain,
    ( op(e0,e3) = e1
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_472]),c_0_329]),c_0_482]) ).

cnf(c_0_530,plain,
    ( op(e3,e1) = unit
    | inv(e1) = e0
    | inv(e1) = e1
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_371,c_0_43]) ).

cnf(c_0_531,plain,
    ( op(e0,e1) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_528,c_0_529]) ).

cnf(c_0_532,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e0
    | unit = e1
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_240,c_0_453]) ).

cnf(c_0_533,plain,
    ( op(e3,e1) = unit
    | inv(e1) = e1
    | inv(e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_383]),c_0_384]) ).

cnf(c_0_534,plain,
    ( op(e0,op(e1,e3)) = op(e3,e3)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_161,c_0_531]) ).

cnf(c_0_535,plain,
    ( op(e1,e3) = e0
    | unit = e1
    | unit = e0
    | op(e1,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_532]),c_0_333]) ).

cnf(c_0_536,plain,
    ( op(e3,e1) = unit
    | op(e1,e1) = unit
    | inv(e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_533]) ).

fof(c_0_537,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[ax27]) ).

cnf(c_0_538,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e1) != e2
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_345,c_0_331]) ).

cnf(c_0_539,plain,
    ( op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2
    | op(e3,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_205]) ).

cnf(c_0_540,plain,
    ( op(e3,e3) = op(e0,e0)
    | unit = e1
    | unit = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_541,plain,
    ( op(e2,e2) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_329]) ).

cnf(c_0_542,plain,
    ( op(e0,op(e3,e1)) = op(e1,e1)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_466,c_0_529]) ).

cnf(c_0_543,plain,
    ( op(e1,e1) = unit
    | op(e3,e1) = unit
    | op(e0,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_536]) ).

cnf(c_0_544,plain,
    ( e2 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_545,plain,
    ( op(e3,e3) = e0
    | op(e3,e0) != e1
    | op(e3,e1) != e2
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_330,c_0_538]) ).

cnf(c_0_546,plain,
    op(op(e3,e0),e3) = op(e3,op(e0,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_547,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541]),c_0_518]) ).

cnf(c_0_548,plain,
    ( op(e1,e1) = unit
    | op(e1,e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_130]),c_0_526]) ).

cnf(c_0_549,plain,
    ( op(e3,op(e0,e3)) != e2
    | op(e3,e0) != e1
    | op(e3,e1) != e2
    | op(e2,e3) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_545]),c_0_546]) ).

cnf(c_0_550,plain,
    ( op(e0,op(e1,e1)) = op(e3,e1)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_283,c_0_531]) ).

cnf(c_0_551,plain,
    ( op(e1,e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_329]) ).

cnf(c_0_552,plain,
    ( unit = e0
    | unit = e1
    | op(e3,e1) != e2
    | op(e3,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_529]),c_0_359]) ).

cnf(c_0_553,plain,
    ( op(e3,e1) = op(e0,e0)
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_554,plain,
    op(op(e0,e3),e0) = op(e0,op(e3,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_555,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_518]) ).

cnf(c_0_556,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e1
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_369,c_0_360]) ).

cnf(c_0_557,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_345,c_0_326]) ).

cnf(c_0_558,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_559,plain,
    ( op(e0,op(e3,e0)) = op(e1,e0)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_554,c_0_529]) ).

cnf(c_0_560,plain,
    ( op(e3,e0) = e0
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_518]) ).

cnf(c_0_561,plain,
    op(e0,e0) != op(e1,e0),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_562,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_336,c_0_557]) ).

cnf(c_0_563,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_334,c_0_558]) ).

cnf(c_0_564,plain,
    ( unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_561]) ).

cnf(c_0_565,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = e0
    | op(e3,e0) != e1
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_330,c_0_562]) ).

cnf(c_0_566,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e1,e2) != e2
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_74,c_0_563]) ).

cnf(c_0_567,plain,
    ( op(e3,op(e0,e1)) = op(e3,e1)
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_484,c_0_341]) ).

cnf(c_0_568,plain,
    ( op(e0,e1) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_130,c_0_564]) ).

cnf(c_0_569,plain,
    op(op(e2,e1),e1) = op(e2,op(e1,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_570,plain,
    ( inv(e1) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_127,c_0_564]) ).

cnf(c_0_571,plain,
    op(e0,e2) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_572,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e2) != e0
    | op(e3,e0) != e1
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_343,c_0_565]) ).

cnf(c_0_573,plain,
    ( op(e3,e2) = e0
    | op(e3,e0) != e1
    | op(e1,e2) != e2
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_351,c_0_566]) ).

cnf(c_0_574,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_568]),c_0_338]) ).

cnf(c_0_575,plain,
    ( op(e2,op(e1,e1)) = e1
    | op(e2,e0) = unit
    | op(e0,e2) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_75]),c_0_115]) ).

cnf(c_0_576,plain,
    ( op(e1,e1) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_570]) ).

cnf(c_0_577,plain,
    inv(e1) != inv(e2),
    inference(split_conjunct,[status(thm)],[ax8]) ).

cnf(c_0_578,plain,
    ( op(e1,e3) = unit
    | op(e2,e3) = unit
    | op(e2,e0) != unit
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_131,c_0_60]) ).

cnf(c_0_579,plain,
    ( op(e1,e1) = unit
    | op(e0,e2) != unit
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_470]),c_0_94]) ).

cnf(c_0_580,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_581,plain,
    ( op(e2,e3) = e0
    | op(e3,e0) != e1
    | op(e3,e1) != e3
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_572,c_0_573]) ).

cnf(c_0_582,plain,
    ( op(e3,e1) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_564]) ).

cnf(c_0_583,plain,
    ( op(e1,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_564]) ).

cnf(c_0_584,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_369,c_0_574]) ).

cnf(c_0_585,plain,
    op(op(e2,e0),e1) = op(e2,op(e0,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_586,plain,
    ( op(e2,e0) = unit
    | unit = e0
    | op(e0,e2) != unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_576]),c_0_122]),c_0_384]) ).

cnf(c_0_587,plain,
    ( op(e2,e2) = unit
    | op(e2,e3) = unit
    | inv(e2) = e0
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_577,c_0_54]) ).

cnf(c_0_588,plain,
    ( op(e1,e3) = unit
    | op(e0,e3) != unit
    | op(e2,e0) != unit ),
    inference(spm,[status(thm)],[c_0_68,c_0_578]) ).

cnf(c_0_589,plain,
    ( op(e2,e0) = unit
    | op(e0,e2) != unit
    | op(e0,e3) != unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_579]),c_0_122]),c_0_384]) ).

cnf(c_0_590,plain,
    op(op(e2,e3),e1) = op(e2,op(e3,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_591,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_431,c_0_580]) ).

cnf(c_0_592,plain,
    op(op(e3,e2),e1) = op(e3,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_593,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e3,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_582]),c_0_583]) ).

cnf(c_0_594,plain,
    ( op(e3,e0) = e0
    | unit = e0
    | op(e2,e0) != e1
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_131,c_0_584]) ).

cnf(c_0_595,plain,
    ( op(e1,e0) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_120,c_0_564]) ).

cnf(c_0_596,plain,
    ( op(e2,op(e0,e1)) = e1
    | unit = e0
    | op(e0,e2) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_115]) ).

cnf(c_0_597,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e1) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_240,c_0_363]) ).

cnf(c_0_598,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e1) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_237,c_0_364]) ).

cnf(c_0_599,plain,
    ( op(e3,e3) = unit
    | inv(e2) = e3
    | inv(e3) = e0
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_352,c_0_27]) ).

cnf(c_0_600,plain,
    ( op(e2,e3) = unit
    | op(e2,e2) = unit
    | op(e0,e2) = unit
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_31,c_0_587]) ).

cnf(c_0_601,plain,
    ( op(e1,e3) = unit
    | op(e0,e3) != unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_588,c_0_589]) ).

cnf(c_0_602,plain,
    ( op(e2,op(e3,e1)) = op(e2,e1)
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_590,c_0_591]) ).

cnf(c_0_603,plain,
    ( op(e1,e3) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_564]) ).

cnf(c_0_604,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_592,c_0_558]) ).

cnf(c_0_605,plain,
    ( op(e2,e1) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_564]) ).

cnf(c_0_606,plain,
    ( op(e3,e0) = e0
    | op(e2,e3) = e0
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_593,c_0_584]) ).

cnf(c_0_607,plain,
    ( unit = e0
    | op(e2,e0) != e1
    | op(e0,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_594]),c_0_595]) ).

cnf(c_0_608,plain,
    ( op(e2,e0) = e1
    | unit = e0
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_596,c_0_568]) ).

cnf(c_0_609,plain,
    ( op(e1,e3) = e0
    | op(e1,e0) != e1
    | op(e1,e1) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_57,c_0_597]) ).

cnf(c_0_610,plain,
    ( op(e1,e2) = e0
    | op(e1,e0) != e1
    | op(e1,e1) != e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_66,c_0_598]) ).

cnf(c_0_611,plain,
    ( op(e3,e3) = unit
    | op(e3,e0) = unit
    | inv(e2) = e3
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_23,c_0_599]) ).

cnf(c_0_612,plain,
    ( op(e0,e2) = unit
    | op(e2,e2) = unit
    | op(e2,e3) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_600,c_0_570]) ).

cnf(c_0_613,plain,
    ( op(e0,e3) != unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_78,c_0_601]) ).

cnf(c_0_614,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_582]),c_0_177]),c_0_603]) ).

cnf(c_0_615,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_604,c_0_605]),c_0_334]) ).

cnf(c_0_616,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_606]),c_0_595]) ).

cnf(c_0_617,plain,
    ( unit = e0
    | op(e0,e0) != e2
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_607,c_0_608]) ).

cnf(c_0_618,plain,
    ( op(e1,e0) != e1
    | op(e1,e1) != e2
    | op(e1,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_609]),c_0_610]) ).

cnf(c_0_619,plain,
    ( op(e3,e0) = unit
    | op(e3,e3) = unit
    | op(e3,e2) = unit
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_31,c_0_611]) ).

cnf(c_0_620,plain,
    op(op(e2,e2),e1) = op(e2,op(e2,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_621,plain,
    ( op(e2,e2) = unit
    | unit = e0
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_612]),c_0_613]) ).

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

cnf(c_0_623,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_222,c_0_614]) ).

cnf(c_0_624,plain,
    op(e2,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_625,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_615]),c_0_583]) ).

cnf(c_0_626,plain,
    ( op(e2,e2) = unit
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_616]),c_0_617]) ).

cnf(c_0_627,plain,
    ( op(e1,e3) = unit
    | op(e2,e3) = unit
    | op(e0,e0) != unit
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_369,c_0_60]) ).

cnf(c_0_628,plain,
    ( op(e2,e0) = unit
    | op(e1,e2) = unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_309,c_0_75]) ).

cnf(c_0_629,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e0) != e1
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_618,c_0_388]) ).

cnf(c_0_630,plain,
    ( op(e3,e2) = unit
    | op(e3,e3) = unit
    | op(e3,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_619,c_0_570]) ).

cnf(c_0_631,plain,
    ( op(e2,op(e2,e1)) = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_115]) ).

cnf(c_0_632,plain,
    op(op(e2,e2),e3) = op(e2,op(e2,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_633,plain,
    ( op(e2,op(e3,e2)) = op(e0,e2)
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_622,c_0_623]) ).

cnf(c_0_634,plain,
    ( op(e3,e2) = e0
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_624,c_0_625]) ).

cnf(c_0_635,plain,
    ( op(e2,op(e2,e1)) = e1
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_626]),c_0_115]) ).

cnf(c_0_636,plain,
    ( op(e1,e3) = unit
    | op(e0,e3) != unit
    | op(e0,e0) != unit ),
    inference(spm,[status(thm)],[c_0_68,c_0_627]) ).

cnf(c_0_637,plain,
    ( op(e1,e2) = unit
    | op(e0,e0) != unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_185,c_0_628]) ).

cnf(c_0_638,plain,
    op(op(e1,e1),e2) = op(e1,op(e1,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_639,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) != e1
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_629]) ).

cnf(c_0_640,plain,
    ( op(e3,e0) = unit
    | op(e3,e2) = unit
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_51,c_0_630]) ).

cnf(c_0_641,plain,
    ( op(e2,e2) = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_631,c_0_605]) ).

cnf(c_0_642,plain,
    ( op(e2,op(e2,e3)) = e3
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_626]),c_0_96]) ).

cnf(c_0_643,plain,
    ( op(e2,e0) = op(e0,e2)
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_633,c_0_634]) ).

cnf(c_0_644,plain,
    ( op(e2,e2) = e1
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_635,c_0_605]) ).

cnf(c_0_645,plain,
    op(op(e2,e3),e0) = op(e2,op(e3,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_646,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e3) = e1
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_171,c_0_26]) ).

cnf(c_0_647,plain,
    inv(inv(e0)) = e0,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_648,plain,
    ( inv(e3) = e2
    | inv(e2) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_649,plain,
    ( op(e0,e3) != unit
    | op(e0,e0) != unit ),
    inference(spm,[status(thm)],[c_0_78,c_0_636]) ).

cnf(c_0_650,plain,
    ( op(e0,e2) != unit
    | op(e0,e0) != unit ),
    inference(spm,[status(thm)],[c_0_571,c_0_637]) ).

cnf(c_0_651,plain,
    ( op(e1,op(e1,e2)) = op(e0,e2)
    | op(e1,e0) != e1
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_638,c_0_639]) ).

cnf(c_0_652,plain,
    ( op(e3,e0) = unit
    | unit = e0
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_634]),c_0_641]) ).

cnf(c_0_653,plain,
    ( op(e2,e0) = e3
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_642,c_0_616]) ).

cnf(c_0_654,plain,
    ( op(e2,e0) = op(e0,e2)
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_643,c_0_644]) ).

cnf(c_0_655,plain,
    ( op(e2,op(e3,e0)) = op(e0,e0)
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_645,c_0_623]) ).

cnf(c_0_656,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e0
    | inv(e1) != e1
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_352,c_0_646]) ).

cnf(c_0_657,plain,
    ( inv(e0) = e2
    | inv(e2) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_658,plain,
    ( inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0
    | inv(e3) = e0 ),
    inference(spm,[status(thm)],[c_0_647,c_0_192]) ).

cnf(c_0_659,plain,
    ( inv(e0) != e2
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_171,c_0_648]) ).

cnf(c_0_660,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e0) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_649,c_0_98]) ).

cnf(c_0_661,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e0) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_650,c_0_112]) ).

cnf(c_0_662,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e0) != e1
    | op(e1,e0) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_364]),c_0_571]) ).

fof(c_0_663,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[ax19]) ).

cnf(c_0_664,plain,
    ( op(e3,op(e0,e2)) = e2
    | unit = e0
    | op(e0,e3) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_652]),c_0_116]) ).

cnf(c_0_665,plain,
    ( op(e0,e2) = e3
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_653,c_0_654]) ).

cnf(c_0_666,plain,
    ( op(e0,e0) = e2
    | unit = e0
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_652]),c_0_122]),c_0_641]) ).

cnf(c_0_667,plain,
    op(op(e2,e2),e0) = op(e2,op(e2,e0)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_668,plain,
    ( op(e2,op(e2,e3)) = e3
    | unit = e0
    | op(e0,e3) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_621]),c_0_96]) ).

cnf(c_0_669,plain,
    ( op(e0,e3) = unit
    | op(e0,e2) = unit
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_208,c_0_508]) ).

cnf(c_0_670,plain,
    ( op(e3,e3) = unit
    | inv(e2) != e0
    | inv(e1) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_656]),c_0_657]) ).

cnf(c_0_671,plain,
    ( op(e2,e2) = unit
    | op(e3,e2) = unit
    | inv(e2) = e0
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_577,c_0_44]) ).

cnf(c_0_672,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_192]) ).

cnf(c_0_673,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | inv(e2) != e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_658]),c_0_219]),c_0_659]) ).

cnf(c_0_674,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e1) != e2
    | op(e0,e0) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_163,c_0_660]) ).

cnf(c_0_675,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e1) != e2
    | op(e0,e0) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_497,c_0_661]) ).

cnf(c_0_676,plain,
    ( op(e1,e2) = e0
    | op(e1,e0) != e1
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_66,c_0_662]) ).

cnf(c_0_677,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | e0 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_663]) ).

cnf(c_0_678,plain,
    ( op(e3,e3) = e2
    | unit = e0
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_665]),c_0_666]) ).

cnf(c_0_679,plain,
    op(op(e3,e2),e3) = op(e3,op(e2,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_680,plain,
    ( op(e2,op(e2,e0)) = e0
    | unit = e0
    | op(e0,e3) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_621]),c_0_120]) ).

cnf(c_0_681,plain,
    ( op(e2,e0) = e3
    | unit = e0
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_623]),c_0_641]) ).

cnf(c_0_682,plain,
    ( op(e3,op(e0,e1)) = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_652]),c_0_115]) ).

cnf(c_0_683,plain,
    ( op(e0,e2) = unit
    | op(e0,e3) = unit
    | op(e1,e0) = unit
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_669]) ).

cnf(c_0_684,plain,
    ( op(e3,e2) = unit
    | op(e2,e2) = unit
    | op(e3,e3) = unit
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_670,c_0_671]) ).

cnf(c_0_685,plain,
    ( op(e3,e0) = unit
    | op(e2,e0) = unit
    | inv(e0) = e0
    | inv(e0) = e1 ),
    inference(spm,[status(thm)],[c_0_46,c_0_672]) ).

cnf(c_0_686,plain,
    ( inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_673,c_0_29]) ).

cnf(c_0_687,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) != unit
    | op(e0,e1) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_649,c_0_674]) ).

cnf(c_0_688,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) != unit
    | op(e0,e1) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_650,c_0_675]) ).

cnf(c_0_689,plain,
    ( op(e0,e0) != unit
    | op(e0,e1) != unit ),
    inference(spm,[status(thm)],[c_0_561,c_0_90]) ).

cnf(c_0_690,plain,
    ( op(e1,e0) != e1
    | op(e1,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_676]),c_0_639]) ).

cnf(c_0_691,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_326]) ).

cnf(c_0_692,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_68,c_0_580]) ).

cnf(c_0_693,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax9]) ).

cnf(c_0_694,plain,
    ( unit = e0
    | op(e3,op(e2,e3)) != e1
    | op(e3,e2) != e0
    | op(e0,e3) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_678]),c_0_679]) ).

cnf(c_0_695,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_680,c_0_681]) ).

cnf(c_0_696,plain,
    ( op(e3,e2) = e0
    | unit = e0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_351,c_0_625]) ).

cnf(c_0_697,plain,
    ( op(e3,e0) = e1
    | unit = e0
    | op(e0,e3) != unit ),
    inference(spm,[status(thm)],[c_0_682,c_0_568]) ).

cnf(c_0_698,plain,
    ( op(e1,e0) = unit
    | op(e0,e3) = unit
    | op(e0,e2) = unit
    | op(e0,e0) = unit ),
    inference(spm,[status(thm)],[c_0_208,c_0_683]) ).

cnf(c_0_699,plain,
    ( op(e3,e3) = unit
    | op(e2,e2) = unit
    | op(e3,e2) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_684,c_0_570]) ).

cnf(c_0_700,plain,
    ( op(e2,e0) = unit
    | op(e3,e0) = unit
    | inv(e0) = e0
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_647,c_0_685]) ).

cnf(c_0_701,plain,
    inv(inv(e2)) = e2,
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_702,plain,
    ( op(e2,e2) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e2) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_28,c_0_686]) ).

cnf(c_0_703,plain,
    ( op(e0,e0) != unit
    | op(e0,e1) != e2
    | unit != e1
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_687]),c_0_688]) ).

cnf(c_0_704,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_689,c_0_162]) ).

cnf(c_0_705,plain,
    ( op(e0,e1) != unit
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_690,c_0_90]) ).

cnf(c_0_706,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e1,e3) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_375,c_0_691]) ).

cnf(c_0_707,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e1,e3) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_431,c_0_692]) ).

cnf(c_0_708,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_693,c_0_98]) ).

cnf(c_0_709,plain,
    ( unit = e0
    | op(e0,e3) != unit ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_695]),c_0_696]),c_0_697]) ).

cnf(c_0_710,plain,
    ( op(e0,e0) = unit
    | op(e0,e2) = unit
    | op(e0,e3) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_698,c_0_595]) ).

cnf(c_0_711,plain,
    ( op(e3,e2) = unit
    | op(e2,e2) = unit
    | unit = e0
    | op(e3,e0) != unit ),
    inference(spm,[status(thm)],[c_0_330,c_0_699]) ).

cnf(c_0_712,plain,
    ( op(e3,e0) = unit
    | op(e2,e0) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_570]),c_0_216]) ).

cnf(c_0_713,plain,
    ( inv(e2) = e0
    | inv(e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_714,plain,
    ( op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e0) = e1
    | inv(e0) = e0
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_701,c_0_702]) ).

cnf(c_0_715,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_55,c_0_558]) ).

cnf(c_0_716,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_64,c_0_234]) ).

cnf(c_0_717,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e2) != e2
    | op(e0,e0) != unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_113,c_0_660]) ).

cnf(c_0_718,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e0) != unit
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_719,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | unit != e3
    | unit != e1 ),
    inference(spm,[status(thm)],[c_0_705,c_0_162]) ).

cnf(c_0_720,plain,
    ( op(e3,e3) = e0
    | op(e0,e3) != e1
    | op(e1,e3) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_706]) ).

cnf(c_0_721,plain,
    ( op(e2,e3) = e0
    | op(e0,e3) != e1
    | op(e1,e3) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_68,c_0_707]) ).

cnf(c_0_722,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e0,e3) = unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_409,c_0_341]) ).

cnf(c_0_723,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e1) != e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_163,c_0_708]) ).

cnf(c_0_724,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e1) != e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_497,c_0_236]) ).

cnf(c_0_725,plain,
    ( op(e0,e2) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_709,c_0_710]) ).

cnf(c_0_726,plain,
    ( op(e2,e2) = unit
    | unit = e0
    | op(e3,e0) != unit ),
    inference(spm,[status(thm)],[c_0_351,c_0_711]) ).

cnf(c_0_727,plain,
    ( op(e2,e0) = unit
    | op(e3,e0) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_712]) ).

cnf(c_0_728,plain,
    ( op(e3,e3) = unit
    | inv(e1) != e1
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_670,c_0_713]) ).

cnf(c_0_729,plain,
    ( op(e2,e2) = unit
    | inv(e1) = e2
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2 ),
    inference(spm,[status(thm)],[c_0_701,c_0_714]) ).

cnf(c_0_730,plain,
    ( unit = e0
    | inv(e0) != e1 ),
    inference(spm,[status(thm)],[c_0_361,c_0_570]) ).

cnf(c_0_731,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e1,e2) != e2
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_74,c_0_715]) ).

cnf(c_0_732,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e1,e2) != e2
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_84,c_0_716]) ).

cnf(c_0_733,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) != unit
    | op(e0,e2) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_649,c_0_717]) ).

cnf(c_0_734,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) != unit
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_689,c_0_718]) ).

cnf(c_0_735,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e0) != e2
    | unit != e3
    | unit != e1 ),
    inference(spm,[status(thm)],[c_0_265,c_0_719]) ).

cnf(c_0_736,plain,
    ( op(e0,e3) != e1
    | op(e1,e3) != e2
    | op(e0,e3) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_720]),c_0_721]) ).

cnf(c_0_737,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_78,c_0_354]) ).

cnf(c_0_738,plain,
    ( op(e0,e3) = unit
    | op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e0,e0) != e2
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_369,c_0_722]) ).

cnf(c_0_739,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e0,e1) = unit
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_88,c_0_170]) ).

cnf(c_0_740,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) != e1
    | op(e0,e1) != e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_693,c_0_723]) ).

cnf(c_0_741,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) != e1
    | op(e0,e1) != e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_223,c_0_724]) ).

cnf(c_0_742,plain,
    ( op(e0,op(e2,e2)) = e2
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_725]),c_0_116]) ).

cnf(c_0_743,plain,
    ( op(e0,e0) = unit
    | op(e2,e0) = unit
    | op(e2,e2) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_726,c_0_727]) ).

cnf(c_0_744,plain,
    ( op(e0,op(e2,e3)) = e3
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_725]),c_0_96]) ).

cnf(c_0_745,plain,
    ( unit = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_61,c_0_582]) ).

cnf(c_0_746,plain,
    ( op(e3,e3) = unit
    | unit = e0
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_728,c_0_570]) ).

cnf(c_0_747,plain,
    ( op(e2,e2) = unit
    | inv(e0) = e2
    | inv(e0) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_570]),c_0_384]),c_0_730]) ).

cnf(c_0_748,plain,
    ( op(e3,e2) = e0
    | op(e0,e2) != e1
    | op(e1,e2) != e2
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_55,c_0_731]) ).

cnf(c_0_749,plain,
    ( op(e2,e2) = e0
    | op(e0,e2) != e1
    | op(e1,e2) != e2
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_64,c_0_732]) ).

cnf(c_0_750,plain,
    ( op(e0,e0) != unit
    | op(e0,e2) != e2
    | unit != e1
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_733]),c_0_734]) ).

cnf(c_0_751,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_705,c_0_735]) ).

cnf(c_0_752,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e0,e3) != e1
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_736,c_0_737]) ).

cnf(c_0_753,plain,
    ( op(e3,e0) = e0
    | op(e0,e3) = unit
    | op(e0,e0) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_409,c_0_738]) ).

cnf(c_0_754,plain,
    ( op(e0,e1) = unit
    | op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e0,e0) != e2
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_561,c_0_739]) ).

cnf(c_0_755,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e2) != e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_113,c_0_708]) ).

cnf(c_0_756,plain,
    ( op(e0,e0) != e1
    | op(e0,e1) != e2
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_740]),c_0_741]) ).

cnf(c_0_757,plain,
    ( op(e2,e0) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_743]),c_0_130]),c_0_219]) ).

cnf(c_0_758,plain,
    op(op(e2,e3),e3) = op(e2,op(e3,e3)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_759,plain,
    ( op(e2,e3) = e0
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_614]),c_0_745]) ).

cnf(c_0_760,plain,
    ( op(e2,e2) = unit
    | op(e3,e3) = unit
    | inv(e0) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_746,c_0_747]) ).

cnf(c_0_761,plain,
    ( op(e0,e2) != e1
    | op(e1,e2) != e2
    | op(e0,e2) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_748]),c_0_749]) ).

cnf(c_0_762,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_571,c_0_146]) ).

cnf(c_0_763,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e0) != unit
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_750,c_0_661]) ).

cnf(c_0_764,plain,
    ( op(e0,op(e1,e3)) = op(e0,e3)
    | op(e0,e0) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_161,c_0_751]) ).

cnf(c_0_765,plain,
    ( op(e1,e3) = e0
    | op(e0,e3) != e1
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_78,c_0_752]) ).

cnf(c_0_766,plain,
    ( op(e0,e3) = unit
    | op(e1,e0) != e0
    | op(e0,e0) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_59,c_0_753]) ).

cnf(c_0_767,plain,
    ( op(e1,e0) = e0
    | op(e0,e0) != e2
    | unit != e1
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_754]),c_0_705]) ).

cnf(c_0_768,plain,
    ( op(e0,e3) = e0
    | op(e0,e0) != e1
    | op(e0,e2) != e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_693,c_0_755]) ).

cnf(c_0_769,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e0) != e1
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_756,c_0_277]) ).

cnf(c_0_770,plain,
    ( op(e2,op(e0,e1)) = e1
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_757]),c_0_115]) ).

cnf(c_0_771,plain,
    ( op(e2,op(e3,e3)) = op(e0,e3)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_758,c_0_759]) ).

cnf(c_0_772,plain,
    ( op(e3,e3) = unit
    | op(e2,e2) = unit
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_760]) ).

cnf(c_0_773,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e0,e2) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_761,c_0_762]) ).

cnf(c_0_774,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) != unit
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_650,c_0_763]) ).

cnf(c_0_775,plain,
    ( op(e0,e0) != e2
    | op(e0,e3) != e1
    | op(e0,e3) != e3
    | unit != e1
    | unit != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_765]),c_0_693]) ).

cnf(c_0_776,plain,
    ( op(e0,e3) = unit
    | op(e0,e0) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_766,c_0_767]) ).

cnf(c_0_777,plain,
    ( op(e0,e1) != e0
    | op(e0,e0) != e1
    | op(e0,e2) != e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_163,c_0_768]) ).

cnf(c_0_778,plain,
    ( op(e0,e1) = e0
    | op(e0,e0) != e1
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_265,c_0_769]) ).

cnf(c_0_779,plain,
    ( op(e0,e0) = unit
    | op(e2,e0) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_770,c_0_568]) ).

cnf(c_0_780,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_771,c_0_772]),c_0_122]) ).

cnf(c_0_781,plain,
    ( op(e0,op(e2,e1)) = e1
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_725]),c_0_115]) ).

cnf(c_0_782,plain,
    ( op(e1,e2) = e0
    | op(e0,e2) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_571,c_0_773]) ).

cnf(c_0_783,plain,
    ( op(e0,e0) != unit
    | unit != e1
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_774]),c_0_734]) ).

cnf(c_0_784,plain,
    ( op(e0,e0) != e2
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_775,c_0_776]) ).

cnf(c_0_785,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e0) != e1
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_236]),c_0_778]) ).

cnf(c_0_786,plain,
    ( op(e0,e3) != e0
    | op(e0,e3) != e1
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_78,c_0_765]) ).

cnf(c_0_787,plain,
    ( op(e0,e0) = unit
    | op(e0,e2) = unit
    | op(e0,e3) = unit
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_690,c_0_698]) ).

cnf(c_0_788,plain,
    ( op(e2,op(e0,e3)) = op(e1,e3)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_779]) ).

cnf(c_0_789,plain,
    ( op(e0,e3) = e2
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_780]),c_0_130]),c_0_219]) ).

cnf(c_0_790,plain,
    ( op(e0,e0) = unit
    | op(e0,e2) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_781,c_0_605]) ).

cnf(c_0_791,plain,
    ( op(e1,op(e2,e2)) = op(e0,e2)
    | op(e0,e2) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_315,c_0_782]) ).

cnf(c_0_792,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | unit != e3
    | unit != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_512]),c_0_784]) ).

cnf(c_0_793,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) != e1
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_223,c_0_785]) ).

cnf(c_0_794,plain,
    ( op(e0,e2) != e0
    | op(e0,e2) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_571,c_0_782]) ).

cnf(c_0_795,plain,
    ( op(e0,e2) = unit
    | op(e0,e0) = unit
    | unit != e0
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_786,c_0_787]) ).

cnf(c_0_796,plain,
    ( op(e2,e2) = op(e1,e3)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_788,c_0_789]) ).

cnf(c_0_797,plain,
    ( op(e0,op(e2,e3)) = op(e1,e3)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_156,c_0_790]) ).

cnf(c_0_798,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e0,e2) != e1
    | op(e0,e2) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_716]),c_0_571]) ).

cnf(c_0_799,plain,
    ( op(e0,e0) = e0
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_783,c_0_792]) ).

cnf(c_0_800,plain,
    ( op(e0,e0) != e1
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_793]),c_0_778]) ).

cnf(c_0_801,plain,
    ( op(e0,e0) = unit
    | unit != e0
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_794,c_0_795]) ).

fof(c_0_802,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | e2 != op(e0,op(e0,e0))
    | e3 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[ax20]) ).

cnf(c_0_803,plain,
    ( op(e0,op(e1,e3)) = e2
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_742,c_0_796]) ).

cnf(c_0_804,plain,
    ( op(e1,e3) = op(e0,e0)
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_797,c_0_759]) ).

cnf(c_0_805,plain,
    ( op(e2,e2) = e0
    | op(e0,e2) != e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_64,c_0_798]) ).

cnf(c_0_806,plain,
    ( op(e0,op(e0,e3)) = op(e0,e3)
    | unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_799]) ).

cnf(c_0_807,plain,
    ( unit != e1
    | unit != e3
    | unit != e0 ),
    inference(spm,[status(thm)],[c_0_800,c_0_801]) ).

cnf(c_0_808,plain,
    ( e1 != op(op(e0,op(e0,e0)),e0)
    | e2 != op(e0,op(e0,e0))
    | e3 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_802]) ).

cnf(c_0_809,plain,
    ( op(e0,op(e0,e0)) = e2
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_803,c_0_804]) ).

cnf(c_0_810,plain,
    ( op(e0,e0) = unit
    | op(e0,e0) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_744,c_0_759]) ).

cnf(c_0_811,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_812,plain,
    ( op(e0,e2) != e1
    | op(e0,e2) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_805]),c_0_782]) ).

cnf(c_0_813,plain,
    ( op(e0,e2) = unit
    | unit != e1
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_787]),c_0_130]),c_0_807]),c_0_783]) ).

cnf(c_0_814,plain,
    ( op(e0,e0) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_808,c_0_809]),c_0_810]),c_0_779]) ).

cnf(c_0_815,plain,
    ( unit = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_78,c_0_603]) ).

cnf(c_0_816,plain,
    ( op(e0,op(e0,e1)) = e1
    | op(e0,e0) = e3
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_810]),c_0_115]) ).

cnf(c_0_817,plain,
    ( unit = e0
    | unit = e1
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_624,c_0_393]) ).

cnf(c_0_818,plain,
    ( op(e2,e2) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_28,c_0_383]) ).

cnf(c_0_819,plain,
    ( unit != e1
    | unit != e3 ),
    inference(spm,[status(thm)],[c_0_812,c_0_813]) ).

cnf(c_0_820,plain,
    ( op(e0,op(e0,e3)) = e3
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_814]),c_0_96]) ).

cnf(c_0_821,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_815,c_0_98]) ).

cnf(c_0_822,plain,
    ( op(e2,op(e0,e0)) = e0
    | op(e0,e0) = unit
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_757]),c_0_120]) ).

cnf(c_0_823,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_816,c_0_568]) ).

cnf(c_0_824,plain,
    ( unit = e0
    | unit != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_817,c_0_818]),c_0_819]) ).

cnf(c_0_825,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e2) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_820,c_0_821]) ).

cnf(c_0_826,plain,
    ( op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_185,c_0_129]) ).

cnf(c_0_827,plain,
    ( op(e0,e0) = e1
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_823]),c_0_824]) ).

cnf(c_0_828,plain,
    ( op(e0,e2) = e3
    | op(e0,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_825]),c_0_564]) ).

cnf(c_0_829,plain,
    ( op(e2,op(e0,e0)) = op(e2,e0)
    | op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_266,c_0_826]) ).

cnf(c_0_830,plain,
    ( op(e0,e0) = e1
    | unit = e0
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_827]) ).

cnf(c_0_831,plain,
    ( op(e0,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_828]),c_0_568]) ).

cnf(c_0_832,plain,
    ( op(e2,op(e0,e0)) = e0
    | unit = e0
    | op(e0,e2) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_586]),c_0_120]) ).

cnf(c_0_833,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_829,c_0_823]),c_0_72]),c_0_830]) ).

cnf(c_0_834,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_375,c_0_326]) ).

cnf(c_0_835,plain,
    ( op(e0,op(e2,e3)) = op(e3,e3)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_156,c_0_831]) ).

cnf(c_0_836,plain,
    ( unit = e0
    | op(e0,e2) != unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_832,c_0_814]),c_0_122]),c_0_219]) ).

cnf(c_0_837,plain,
    ( op(e0,e0) = e1
    | op(e0,e2) = unit
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_833]),c_0_564]) ).

fof(c_0_838,plain,
    ( e1 != op(op(e3,op(e3,e3)),e3)
    | e2 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[ax21]) ).

cnf(c_0_839,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e0) != e2
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_330,c_0_834]) ).

cnf(c_0_840,plain,
    op(op(e0,e0),e2) = op(e0,op(e0,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_841,plain,
    ( op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_205]) ).

cnf(c_0_842,plain,
    ( op(e3,e3) = op(e0,e0)
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_835,c_0_623]) ).

cnf(c_0_843,plain,
    ( op(e1,e1) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_138,c_0_564]) ).

cnf(c_0_844,plain,
    ( op(e0,e0) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_836,c_0_837]) ).

cnf(c_0_845,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_838]) ).

cnf(c_0_846,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) != e1
    | op(e3,e0) != e2
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_343,c_0_839]) ).

cnf(c_0_847,plain,
    ( op(e0,op(e0,e2)) = e2
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_840,c_0_814]),c_0_116]) ).

cnf(c_0_848,plain,
    ( op(e0,op(e2,e2)) = op(e3,e2)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_202,c_0_831]) ).

cnf(c_0_849,plain,
    ( unit = e0
    | op(e2,e2) != e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_842]),c_0_843]),c_0_844]) ).

cnf(c_0_850,plain,
    ( op(e3,op(e0,e3)) != e1
    | op(e3,e0) != e2
    | op(e3,e2) != e1
    | op(e1,e3) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_845,c_0_846]),c_0_546]) ).

cnf(c_0_851,plain,
    ( op(e0,e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_847,c_0_831]) ).

cnf(c_0_852,plain,
    ( op(e2,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_716]),c_0_55]),c_0_831]),c_0_849]) ).

cnf(c_0_853,plain,
    ( op(e3,op(e2,e1)) = op(e0,e1)
    | unit = e0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_592,c_0_696]) ).

cnf(c_0_854,plain,
    ( op(e2,e3) = unit
    | op(e3,e3) = unit
    | op(e3,e1) = unit
    | inv(e0) = e3 ),
    inference(spm,[status(thm)],[c_0_39,c_0_42]) ).

cnf(c_0_855,plain,
    ( unit = e0
    | op(e3,e2) != e1
    | op(e3,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_851]),c_0_603]) ).

cnf(c_0_856,plain,
    ( op(e3,e2) = op(e0,e0)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_848,c_0_852]) ).

cnf(c_0_857,plain,
    ( op(e3,e2) = op(e0,e1)
    | unit = e0
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_853,c_0_605]) ).

cnf(c_0_858,plain,
    ( op(e3,e1) = unit
    | op(e3,e3) = unit
    | op(e2,e3) = unit
    | op(e0,e3) = unit ),
    inference(spm,[status(thm)],[c_0_208,c_0_854]) ).

cnf(c_0_859,plain,
    ( unit = e0
    | op(e3,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_855,c_0_856]),c_0_844]) ).

cnf(c_0_860,plain,
    ( unit = e0
    | op(e3,e0) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_856]),c_0_265]) ).

cnf(c_0_861,plain,
    ( op(e0,e3) = unit
    | op(e2,e3) = unit
    | op(e3,e1) = unit
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_375,c_0_858]) ).

cnf(c_0_862,plain,
    ( op(e2,e1) = unit
    | op(e3,e2) = unit
    | op(e2,e2) = unit
    | op(e0,e2) = unit ),
    inference(spm,[status(thm)],[c_0_31,c_0_49]) ).

cnf(c_0_863,plain,
    ( op(e0,op(e3,e0)) = op(e2,e0)
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_554,c_0_851]) ).

cnf(c_0_864,plain,
    ( op(e3,e0) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_859,c_0_574]),c_0_860]) ).

cnf(c_0_865,plain,
    ( op(e2,e3) = unit
    | op(e0,e3) = unit
    | op(e2,e1) != unit
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_134,c_0_861]) ).

cnf(c_0_866,plain,
    ( op(e0,e2) = unit
    | op(e2,e2) = unit
    | op(e2,e1) = unit
    | op(e1,e2) != unit ),
    inference(spm,[status(thm)],[c_0_74,c_0_862]) ).

cnf(c_0_867,plain,
    unit = e0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_863,c_0_864]),c_0_185]) ).

cnf(c_0_868,plain,
    ( op(e0,e3) = unit
    | op(e1,e3) != unit
    | op(e2,e1) != unit ),
    inference(spm,[status(thm)],[c_0_431,c_0_865]) ).

cnf(c_0_869,plain,
    ( op(e2,e1) = unit
    | op(e0,e2) = unit
    | op(e1,e2) != unit ),
    inference(spm,[status(thm)],[c_0_84,c_0_866]) ).

cnf(c_0_870,plain,
    op(e0,e2) = e2,
    inference(rw,[status(thm)],[c_0_116,c_0_867]) ).

cnf(c_0_871,plain,
    op(e1,e0) = e1,
    inference(rw,[status(thm)],[c_0_138,c_0_867]) ).

cnf(c_0_872,plain,
    ( op(e2,e0) = unit
    | op(e0,e3) = unit
    | op(e1,e3) != unit
    | op(e1,e2) != unit ),
    inference(spm,[status(thm)],[c_0_868,c_0_93]) ).

cnf(c_0_873,plain,
    ( op(e2,e1) = e0
    | op(e1,e2) != e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_869,c_0_867]),c_0_867]),c_0_867]),c_0_870]),c_0_219]) ).

cnf(c_0_874,plain,
    op(e0,e3) = e3,
    inference(rw,[status(thm)],[c_0_96,c_0_867]) ).

cnf(c_0_875,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_57,c_0_871]) ).

cnf(c_0_876,plain,
    ( op(e0,e0) != unit
    | op(e1,e3) != unit
    | op(e1,e2) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_872]),c_0_649]) ).

cnf(c_0_877,plain,
    op(e0,e0) = e0,
    inference(rw,[status(thm)],[c_0_120,c_0_867]) ).

fof(c_0_878,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | e1 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[ax12]) ).

cnf(c_0_879,plain,
    ( op(e2,op(e1,e3)) = e3
    | op(e1,e2) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_873]),c_0_874]) ).

cnf(c_0_880,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_737,c_0_874])]),c_0_875]) ).

cnf(c_0_881,plain,
    ( op(e1,e3) != e0
    | op(e1,e2) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_876,c_0_867]),c_0_867]),c_0_867]),c_0_877])]) ).

cnf(c_0_882,plain,
    ( op(e1,e2) = unit
    | op(e2,e3) = unit
    | op(e2,e2) = unit
    | op(e0,e2) = unit ),
    inference(spm,[status(thm)],[c_0_31,c_0_297]) ).

cnf(c_0_883,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_122,c_0_867]) ).

cnf(c_0_884,plain,
    op(e0,e1) = e1,
    inference(rw,[status(thm)],[c_0_115,c_0_867]) ).

cnf(c_0_885,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | e1 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_878]) ).

cnf(c_0_886,plain,
    ( op(e2,e2) = e3
    | op(e1,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_879,c_0_880]),c_0_881]) ).

cnf(c_0_887,plain,
    op(op(e2,e2),e2) = op(e2,op(e2,e2)),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_888,plain,
    ( op(e0,e2) = unit
    | op(e2,e2) = unit
    | op(e1,e2) = unit
    | op(e2,e1) != unit ),
    inference(spm,[status(thm)],[c_0_177,c_0_882]) ).

cnf(c_0_889,plain,
    inv(e0) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_867]),c_0_867]) ).

cnf(c_0_890,plain,
    op(e2,e1) != e2,
    inference(rw,[status(thm)],[c_0_91,c_0_883]) ).

cnf(c_0_891,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_405,c_0_176]) ).

cnf(c_0_892,plain,
    op(e2,e1) != e1,
    inference(rw,[status(thm)],[c_0_70,c_0_884]) ).

cnf(c_0_893,plain,
    ( op(e2,op(e3,e2)) != e0
    | op(e2,e3) != e1
    | op(e1,e2) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_886]),c_0_622]) ).

cnf(c_0_894,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_887,c_0_886]) ).

cnf(c_0_895,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e0) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_72,c_0_692]) ).

cnf(c_0_896,plain,
    ( op(e1,e2) = unit
    | op(e0,e2) = unit
    | op(e2,e1) != unit ),
    inference(spm,[status(thm)],[c_0_261,c_0_888]) ).

cnf(c_0_897,plain,
    ( op(e3,e2) = unit
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_23,c_0_648]) ).

cnf(c_0_898,plain,
    inv(e2) != e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_657,c_0_889]),c_0_219]) ).

cnf(c_0_899,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_403,c_0_328]) ).

cnf(c_0_900,plain,
    ( op(e1,op(e2,e1)) = op(e2,e1)
    | op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_179,c_0_250]) ).

cnf(c_0_901,plain,
    ( op(e2,e1) = e0
    | op(e1,e1) != e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_891]),c_0_892]) ).

cnf(c_0_902,plain,
    op(e1,e2) != e1,
    inference(rw,[status(thm)],[c_0_66,c_0_871]) ).

cnf(c_0_903,plain,
    ( op(e2,op(e2,e3)) != e0
    | op(e2,e3) != e1
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_893,c_0_894]) ).

cnf(c_0_904,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_895,c_0_874])]),c_0_883])]) ).

cnf(c_0_905,plain,
    ( op(e1,e2) = e0
    | op(e2,e1) != e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_896,c_0_867]),c_0_867]),c_0_867]),c_0_870]),c_0_219]) ).

cnf(c_0_906,plain,
    ( op(e3,e2) = e0
    | inv(e2) != e3 ),
    inference(rw,[status(thm)],[c_0_897,c_0_867]) ).

cnf(c_0_907,plain,
    ( inv(e2) = e3
    | inv(e2) = e2
    | inv(e2) = e1 ),
    inference(sr,[status(thm)],[c_0_29,c_0_898]) ).

cnf(c_0_908,plain,
    ( op(e3,op(e1,e2)) = op(e2,e2)
    | op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_327,c_0_899]) ).

cnf(c_0_909,plain,
    ( op(e1,e2) = e0
    | op(e1,e1) != e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_900,c_0_901]),c_0_871]),c_0_216]),c_0_902]) ).

cnf(c_0_910,plain,
    op(e3,e0) = e3,
    inference(rw,[status(thm)],[c_0_206,c_0_867]) ).

cnf(c_0_911,plain,
    op(e3,e1) != e1,
    inference(rw,[status(thm)],[c_0_61,c_0_884]) ).

cnf(c_0_912,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_338,c_0_328]) ).

cnf(c_0_913,plain,
    ( op(e2,e3) = e0
    | op(e2,e1) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_903,c_0_904]),c_0_905]) ).

cnf(c_0_914,plain,
    op(inv(e2),e2) = e0,
    inference(rw,[status(thm)],[c_0_31,c_0_867]) ).

cnf(c_0_915,plain,
    ( op(e3,e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2 ),
    inference(spm,[status(thm)],[c_0_906,c_0_907]) ).

cnf(c_0_916,plain,
    ( op(e3,e1) = e0
    | op(e2,e2) = e3
    | op(e1,e1) != e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_908,c_0_909]),c_0_910]),c_0_911]) ).

cnf(c_0_917,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e1,e1) != e2
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_403,c_0_912]) ).

cnf(c_0_918,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e1) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_240,c_0_737]) ).

cnf(c_0_919,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e0,e2) != e2
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_64,c_0_274]) ).

cnf(c_0_920,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_176,c_0_892]),c_0_890]) ).

cnf(c_0_921,plain,
    op(e2,e1) != e0,
    inference(spm,[status(thm)],[c_0_177,c_0_913]) ).

cnf(c_0_922,plain,
    op(e2,inv(e2)) = e0,
    inference(rw,[status(thm)],[c_0_28,c_0_867]) ).

cnf(c_0_923,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_914,c_0_915]) ).

cnf(c_0_924,plain,
    ( op(e2,e2) = e3
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_916]),c_0_901]) ).

cnf(c_0_925,plain,
    ( op(e3,e1) = e0
    | op(e0,e1) != e1
    | op(e1,e1) != e2
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_61,c_0_917]) ).

cnf(c_0_926,plain,
    ( op(e1,e3) = e0
    | op(e1,e0) != e1
    | op(e1,e1) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_57,c_0_918]) ).

fof(c_0_927,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[ax17]) ).

cnf(c_0_928,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e1) != e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_919,c_0_870])]) ).

cnf(c_0_929,plain,
    op(e2,e1) = e3,
    inference(sr,[status(thm)],[c_0_920,c_0_921]) ).

cnf(c_0_930,plain,
    ( op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_922,c_0_923]) ).

cnf(c_0_931,plain,
    ( inv(e0) = e3
    | inv(e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_932,plain,
    ( op(e3,e1) = unit
    | op(e3,e3) = unit
    | op(e2,e3) = unit
    | op(e3,e0) = unit ),
    inference(spm,[status(thm)],[c_0_46,c_0_854]) ).

cnf(c_0_933,plain,
    ( op(e2,op(e3,e2)) != e0
    | op(e2,e3) != e1
    | op(e1,e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_924]),c_0_622]) ).

cnf(c_0_934,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_887,c_0_924]) ).

cnf(c_0_935,plain,
    ( op(e3,e1) = e0
    | op(e1,e1) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_925,c_0_884])]),c_0_910])]) ).

cnf(c_0_936,plain,
    op(e1,e2) != e2,
    inference(rw,[status(thm)],[c_0_571,c_0_870]) ).

cnf(c_0_937,plain,
    ( op(e1,e2) != e0
    | op(e1,e0) != e1
    | op(e1,e1) != e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_150,c_0_926]) ).

cnf(c_0_938,plain,
    ( e0 != op(op(e2,op(e2,e2)),e2)
    | e3 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_927]) ).

cnf(c_0_939,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_928,c_0_929])]) ).

cnf(c_0_940,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0 ),
    inference(sr,[status(thm)],[c_0_930,c_0_921]) ).

cnf(c_0_941,plain,
    op(inv(e3),e3) = unit,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_942,plain,
    inv(e3) != e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_931,c_0_889]),c_0_38]) ).

cnf(c_0_943,plain,
    ( inv(e3) = e1
    | inv(e1) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_944,plain,
    ( inv(e0) = e1
    | inv(e1) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_945,plain,
    ( op(e3,e0) = unit
    | op(e2,e3) = unit
    | op(e3,e1) = unit
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_375,c_0_932]) ).

cnf(c_0_946,plain,
    ( op(e2,op(e2,e3)) != e0
    | op(e2,e3) != e1
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_933,c_0_934]) ).

fof(c_0_947,plain,
    ( e0 != op(op(e3,op(e3,e3)),e3)
    | e1 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[ax13]) ).

cnf(c_0_948,plain,
    ( op(e3,op(e1,e2)) = e2
    | op(e1,e1) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_935]),c_0_870]) ).

cnf(c_0_949,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_146,c_0_936]),c_0_902]) ).

cnf(c_0_950,plain,
    ( op(e1,e2) != e0
    | op(e1,e1) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_937,c_0_874])]),c_0_871])]) ).

cnf(c_0_951,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_351,c_0_558]) ).

cnf(c_0_952,plain,
    op(e3,e2) != e2,
    inference(rw,[status(thm)],[c_0_55,c_0_870]) ).

cnf(c_0_953,plain,
    op(e2,e2) = e0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_938,c_0_939]),c_0_929]),c_0_929])]),c_0_940]) ).

cnf(c_0_954,plain,
    op(inv(e3),e3) = e0,
    inference(rw,[status(thm)],[c_0_941,c_0_867]) ).

cnf(c_0_955,plain,
    ( inv(e3) = e3
    | inv(e3) = e2
    | inv(e3) = e1 ),
    inference(sr,[status(thm)],[c_0_24,c_0_942]) ).

cnf(c_0_956,plain,
    ( inv(e2) = e1
    | inv(e1) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_957,plain,
    ( op(e1,e3) = unit
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_941,c_0_943]) ).

cnf(c_0_958,plain,
    inv(e1) != e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_944,c_0_889]),c_0_216]) ).

cnf(c_0_959,plain,
    ( op(e2,e3) = unit
    | op(e3,e0) = unit
    | op(e1,e1) != unit
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_403,c_0_945]) ).

cnf(c_0_960,plain,
    op(e1,e1) != e1,
    inference(rw,[status(thm)],[c_0_80,c_0_884]) ).

cnf(c_0_961,plain,
    ( op(e1,op(e2,e3)) = e3
    | op(e1,e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_909]),c_0_874]) ).

cnf(c_0_962,plain,
    ( op(e2,e3) = e0
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_946,c_0_904]),c_0_901]) ).

cnf(c_0_963,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_947]) ).

cnf(c_0_964,plain,
    ( op(e3,e3) = e2
    | op(e1,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_949]),c_0_950]) ).

cnf(c_0_965,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_951,c_0_910])]),c_0_952]) ).

cnf(c_0_966,plain,
    op(e3,e2) != e0,
    inference(rw,[status(thm)],[c_0_624,c_0_953]) ).

cnf(c_0_967,plain,
    op(e2,e3) != e0,
    inference(rw,[status(thm)],[c_0_222,c_0_953]) ).

cnf(c_0_968,plain,
    ( op(e3,e3) = e0
    | inv(e3) = e1
    | inv(e3) = e2 ),
    inference(spm,[status(thm)],[c_0_954,c_0_955]) ).

cnf(c_0_969,plain,
    ( op(e2,e1) = unit
    | inv(e1) != e2 ),
    inference(spm,[status(thm)],[c_0_28,c_0_956]) ).

cnf(c_0_970,plain,
    ( op(e1,e3) = e0
    | inv(e1) != e3 ),
    inference(rw,[status(thm)],[c_0_957,c_0_867]) ).

cnf(c_0_971,plain,
    ( inv(e1) = e3
    | inv(e1) = e2
    | inv(e1) = e1 ),
    inference(sr,[status(thm)],[c_0_33,c_0_958]) ).

cnf(c_0_972,plain,
    ( op(e2,e3) = unit
    | op(e0,e0) != unit
    | op(e1,e1) != unit
    | op(e1,e3) != unit ),
    inference(spm,[status(thm)],[c_0_369,c_0_959]) ).

cnf(c_0_973,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[c_0_239,c_0_960]) ).

cnf(c_0_974,plain,
    op(e1,e1) != e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_961,c_0_962]),c_0_871]),c_0_37]) ).

cnf(c_0_975,plain,
    ( op(e3,op(e2,e3)) != e0
    | op(e3,e2) != e1
    | op(e1,e1) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_963,c_0_964]),c_0_679]) ).

cnf(c_0_976,plain,
    op(e3,e2) = e1,
    inference(sr,[status(thm)],[c_0_965,c_0_966]) ).

cnf(c_0_977,plain,
    op(e2,e3) = e1,
    inference(sr,[status(thm)],[c_0_904,c_0_967]) ).

cnf(c_0_978,plain,
    ( op(e3,e3) = e0
    | inv(e3) = e1
    | inv(e2) = e3 ),
    inference(spm,[status(thm)],[c_0_25,c_0_968]) ).

cnf(c_0_979,plain,
    ( op(e2,e1) = e0
    | inv(e1) != e2 ),
    inference(rw,[status(thm)],[c_0_969,c_0_867]) ).

cnf(c_0_980,plain,
    ( op(e1,e3) = e0
    | inv(e1) = e1
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_970,c_0_971]) ).

cnf(c_0_981,plain,
    ( op(e1,e3) != unit
    | op(e0,e0) != unit
    | op(e1,e1) != unit ),
    inference(spm,[status(thm)],[c_0_431,c_0_972]) ).

cnf(c_0_982,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(sr,[status(thm)],[c_0_973,c_0_974]) ).

cnf(c_0_983,plain,
    op(e1,e1) != e2,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_975,c_0_976])]),c_0_977]),c_0_935]) ).

cnf(c_0_984,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_205]) ).

cnf(c_0_985,plain,
    ( op(e3,e3) = e0
    | inv(e2) = e3
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_352,c_0_978]) ).

cnf(c_0_986,plain,
    ( op(e1,e3) = e0
    | op(e2,e1) = e0
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_979,c_0_980]) ).

cnf(c_0_987,plain,
    ( op(e1,e3) != e0
    | op(e1,e1) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_981,c_0_867]),c_0_867]),c_0_867]),c_0_877])]) ).

cnf(c_0_988,plain,
    op(e1,e1) = e0,
    inference(sr,[status(thm)],[c_0_982,c_0_983]) ).

cnf(c_0_989,plain,
    ( op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_984,c_0_877])]) ).

cnf(c_0_990,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | inv(e1) != e1 ),
    inference(spm,[status(thm)],[c_0_906,c_0_985]) ).

cnf(c_0_991,plain,
    ( op(e1,e3) = e0
    | inv(e1) = e1 ),
    inference(sr,[status(thm)],[c_0_986,c_0_921]) ).

cnf(c_0_992,plain,
    op(e1,e3) != e0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_987,c_0_988])]) ).

cnf(c_0_993,plain,
    ( op(e1,e1) != e0
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_989,c_0_953])]) ).

cnf(c_0_994,plain,
    ( op(e3,e3) = e0
    | inv(e1) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_990,c_0_976]),c_0_216]) ).

cnf(c_0_995,plain,
    inv(e1) = e1,
    inference(sr,[status(thm)],[c_0_991,c_0_992]) ).

cnf(c_0_996,plain,
    op(e3,e3) != e0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_993,c_0_988])]) ).

cnf(c_0_997,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_994,c_0_995])]),c_0_996]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.15  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.37  % Computer : n007.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon Aug 28 02:32:12 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.22/0.60  start to proof: theBenchmark
% 17.12/17.27  % Version  : CSE_E---1.5
% 17.12/17.27  % Problem  : theBenchmark.p
% 17.12/17.27  % Proof found
% 17.12/17.27  % SZS status Theorem for theBenchmark.p
% 17.12/17.27  % SZS output start Proof
% See solution above
% 17.28/17.30  % Total time : 16.646000 s
% 17.28/17.30  % SZS output end Proof
% 17.28/17.30  % Total time : 16.653000 s
%------------------------------------------------------------------------------