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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : ALG046+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 11:56:26 AM UTC 2026

% Result   : Unsatisfiable 1.13s 0.63s
% Output   : CNFRefutation 1.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(ax4,axiom,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(ax5,axiom,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(ax2,axiom,
    ( ( unit = e3
      | unit = e2
      | unit = e1
      | unit = e0 )
    & op(e3,unit) = e3
    & op(unit,e3) = e3
    & op(e2,unit) = e2
    & op(unit,e2) = e2
    & op(e1,unit) = e1
    & op(unit,e1) = e1
    & op(e0,unit) = e0
    & op(unit,e0) = e0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(ax3,axiom,
    ( ( op(e3,e3) = e3
      | op(e2,e3) = e3
      | op(e1,e3) = e3
      | op(e0,e3) = e3 )
    & ( op(e3,e3) = e3
      | op(e3,e2) = e3
      | op(e3,e1) = e3
      | op(e3,e0) = e3 )
    & ( op(e3,e3) = e2
      | op(e2,e3) = e2
      | op(e1,e3) = e2
      | op(e0,e3) = e2 )
    & ( op(e3,e3) = e2
      | op(e3,e2) = e2
      | op(e3,e1) = e2
      | op(e3,e0) = e2 )
    & ( op(e3,e3) = e1
      | op(e2,e3) = e1
      | op(e1,e3) = e1
      | op(e0,e3) = e1 )
    & ( op(e3,e3) = e1
      | op(e3,e2) = e1
      | op(e3,e1) = e1
      | op(e3,e0) = e1 )
    & ( op(e3,e3) = e0
      | op(e2,e3) = e0
      | op(e1,e3) = e0
      | op(e0,e3) = e0 )
    & ( op(e3,e3) = e0
      | op(e3,e2) = e0
      | op(e3,e1) = e0
      | op(e3,e0) = e0 )
    & ( op(e3,e2) = e3
      | op(e2,e2) = e3
      | op(e1,e2) = e3
      | op(e0,e2) = e3 )
    & ( op(e2,e3) = e3
      | op(e2,e2) = e3
      | op(e2,e1) = e3
      | op(e2,e0) = e3 )
    & ( op(e3,e2) = e2
      | op(e2,e2) = e2
      | op(e1,e2) = e2
      | op(e0,e2) = e2 )
    & ( op(e2,e3) = e2
      | op(e2,e2) = e2
      | op(e2,e1) = e2
      | op(e2,e0) = e2 )
    & ( op(e3,e2) = e1
      | op(e2,e2) = e1
      | op(e1,e2) = e1
      | op(e0,e2) = e1 )
    & ( op(e2,e3) = e1
      | op(e2,e2) = e1
      | op(e2,e1) = e1
      | op(e2,e0) = e1 )
    & ( op(e3,e2) = e0
      | op(e2,e2) = e0
      | op(e1,e2) = e0
      | op(e0,e2) = e0 )
    & ( op(e2,e3) = e0
      | op(e2,e2) = e0
      | op(e2,e1) = e0
      | op(e2,e0) = e0 )
    & ( op(e3,e1) = e3
      | op(e2,e1) = e3
      | op(e1,e1) = e3
      | op(e0,e1) = e3 )
    & ( op(e1,e3) = e3
      | op(e1,e2) = e3
      | op(e1,e1) = e3
      | op(e1,e0) = e3 )
    & ( op(e3,e1) = e2
      | op(e2,e1) = e2
      | op(e1,e1) = e2
      | op(e0,e1) = e2 )
    & ( op(e1,e3) = e2
      | op(e1,e2) = e2
      | op(e1,e1) = e2
      | op(e1,e0) = e2 )
    & ( op(e3,e1) = e1
      | op(e2,e1) = e1
      | op(e1,e1) = e1
      | op(e0,e1) = e1 )
    & ( op(e1,e3) = e1
      | op(e1,e2) = e1
      | op(e1,e1) = e1
      | op(e1,e0) = e1 )
    & ( op(e3,e1) = e0
      | op(e2,e1) = e0
      | op(e1,e1) = e0
      | op(e0,e1) = e0 )
    & ( op(e1,e3) = e0
      | op(e1,e2) = e0
      | op(e1,e1) = e0
      | op(e1,e0) = e0 )
    & ( op(e3,e0) = e3
      | op(e2,e0) = e3
      | op(e1,e0) = e3
      | op(e0,e0) = e3 )
    & ( op(e0,e3) = e3
      | op(e0,e2) = e3
      | op(e0,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e0) = e2
      | op(e2,e0) = e2
      | op(e1,e0) = e2
      | op(e0,e0) = e2 )
    & ( op(e0,e3) = e2
      | op(e0,e2) = e2
      | op(e0,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e0) = e1
      | op(e2,e0) = e1
      | op(e1,e0) = e1
      | op(e0,e0) = e1 )
    & ( op(e0,e3) = e1
      | op(e0,e2) = e1
      | op(e0,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e0) = e0
      | op(e2,e0) = e0
      | op(e1,e0) = e0
      | op(e0,e0) = e0 )
    & ( op(e0,e3) = e0
      | op(e0,e2) = e0
      | op(e0,e1) = e0
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(ax29,axiom,
    ~ ( e1 = op(e2,e2)
      & e0 = op(e2,op(e2,e2))
      & e3 = op(e2,op(e2,op(e2,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

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

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

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

fof(ax1,axiom,
    ( ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | op(e3,e3) = e0 )
    & ( op(e3,e2) = e3
      | op(e3,e2) = e2
      | op(e3,e2) = e1
      | op(e3,e2) = e0 )
    & ( op(e3,e1) = e3
      | op(e3,e1) = e2
      | op(e3,e1) = e1
      | op(e3,e1) = e0 )
    & ( op(e3,e0) = e3
      | op(e3,e0) = e2
      | op(e3,e0) = e1
      | op(e3,e0) = e0 )
    & ( op(e2,e3) = e3
      | op(e2,e3) = e2
      | op(e2,e3) = e1
      | op(e2,e3) = e0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | op(e2,e2) = e0 )
    & ( op(e2,e1) = e3
      | op(e2,e1) = e2
      | op(e2,e1) = e1
      | op(e2,e1) = e0 )
    & ( op(e2,e0) = e3
      | op(e2,e0) = e2
      | op(e2,e0) = e1
      | op(e2,e0) = e0 )
    & ( op(e1,e3) = e3
      | op(e1,e3) = e2
      | op(e1,e3) = e1
      | op(e1,e3) = e0 )
    & ( op(e1,e2) = e3
      | op(e1,e2) = e2
      | op(e1,e2) = e1
      | op(e1,e2) = e0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | op(e1,e1) = e0 )
    & ( op(e1,e0) = e3
      | op(e1,e0) = e2
      | op(e1,e0) = e1
      | op(e1,e0) = e0 )
    & ( op(e0,e3) = e3
      | op(e0,e3) = e2
      | op(e0,e3) = e1
      | op(e0,e3) = e0 )
    & ( op(e0,e2) = e3
      | op(e0,e2) = e2
      | op(e0,e2) = e1
      | op(e0,e2) = e0 )
    & ( op(e0,e1) = e3
      | op(e0,e1) = e2
      | op(e0,e1) = e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

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

fof(ax22,axiom,
    ~ ( e0 = op(e1,e1)
      & e3 = op(e1,op(e1,e1))
      & e2 = op(e1,op(e1,op(e1,e1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(ax23,axiom,
    ~ ( e1 = op(e3,e3)
      & e0 = op(e3,op(e3,e3))
      & e2 = op(e3,op(e3,op(e3,e3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(ax15,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(e2,op(e2,e2))
      & e1 = op(e2,op(e2,op(e2,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(ax14,axiom,
    ~ ( e2 = op(e0,e0)
      & e3 = op(e0,op(e0,e0))
      & e1 = op(e0,op(e0,op(e0,e0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(ax16,axiom,
    ~ ( e0 = op(e2,e2)
      & e3 = op(e2,op(e2,e2))
      & e1 = op(e2,op(e2,op(e2,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

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

fof(ax9,axiom,
    ~ ( e3 = op(e2,e2)
      & e1 = op(e2,op(e2,e2))
      & e0 = op(e2,op(e2,op(e2,e2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

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

fof(c_0_18,plain,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    inference(fof_simplification,[status(thm)],[ax4]) ).

fof(c_0_19,plain,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(fof_simplification,[status(thm)],[ax5]) ).

fof(c_0_20,plain,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    inference(fof_nnf,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    op(unit,e0) = e0,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_22,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_23,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_24,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_25,plain,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(fof_nnf,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e3,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_23,c_0_22]) ).

cnf(c_0_30,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_31,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_32,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_24,c_0_22]) ).

cnf(c_0_33,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    ( op(e2,e0) != e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e1) = e1
    | op(e2,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_36,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( op(e2,e1) != e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_38,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_39,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_40,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e3,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_30,c_0_22]) ).

fof(c_0_41,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).

cnf(c_0_42,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_43,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e0) = e1
    | op(e2,e2) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_36]),c_0_37]) ).

cnf(c_0_44,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_45,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_46,plain,
    ( e2 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,op(e1,op(e1,e1))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])]) ).

cnf(c_0_47,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_48,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_38,c_0_22]) ).

cnf(c_0_49,plain,
    ( op(e1,e2) != e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_50,plain,
    op(e1,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_51,plain,
    ( e1 != op(e2,e2)
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2))) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_52,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) = e0
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_53,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_54,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_22]) ).

cnf(c_0_55,plain,
    ( e2 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,op(e1,op(e1,e1))) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_56,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e0) = e2
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_36]),c_0_49]) ).

cnf(c_0_57,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_58,plain,
    ( op(e1,e0) != e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_27]) ).

cnf(c_0_59,plain,
    ( op(e2,op(e2,e1)) != e3
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_52]) ).

cnf(c_0_60,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_61,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_62,plain,
    ( e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).

cnf(c_0_63,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_64,plain,
    ( op(e0,e2) != e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_65,plain,
    ( op(e1,e2) != e0
    | op(e1,op(e1,e2)) != e3
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_44]),c_0_58]) ).

cnf(c_0_67,plain,
    ( op(e2,e0) != e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_52]) ).

cnf(c_0_68,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_27]),c_0_61]) ).

cnf(c_0_69,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_70,plain,
    ( e0 != op(e2,e2)
    | e1 != op(e2,op(e2,e2))
    | e3 != op(e2,op(e2,op(e2,e2))) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_71,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_40]),c_0_33]),c_0_64]) ).

cnf(c_0_72,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_73,plain,
    ( op(e1,e0) != e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e0) = e2
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_74,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_75,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_76,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_77,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_78,plain,
    ( op(e2,op(e2,e0)) != e3
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_42]),c_0_52]) ).

cnf(c_0_79,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) = e1
    | op(e1,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_71]),c_0_44]) ).

cnf(c_0_80,plain,
    ( op(e1,e2) != e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_42]) ).

cnf(c_0_81,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e1) = e0
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).

cnf(c_0_82,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_83,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_22]) ).

cnf(c_0_84,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_85,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_86,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_32]),c_0_75]) ).

cnf(c_0_87,plain,
    ( op(e2,e1) != e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

fof(c_0_88,plain,
    ( ( op(e3,e3) != e3
      | op(e2,e2) != e3
      | op(e1,e1) != e3
      | op(e0,e0) != e3 )
    & ( op(e3,e3) != e2
      | op(e2,e2) != e2
      | op(e1,e1) != e2
      | op(e0,e0) != e2 )
    & ( op(e3,e3) != e1
      | op(e2,e2) != e1
      | op(e1,e1) != e1
      | op(e0,e0) != e1 )
    & ( op(e3,e3) != e0
      | op(e2,e2) != e0
      | op(e1,e1) != e0
      | op(e0,e0) != e0 ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).

cnf(c_0_89,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_81]),c_0_33]) ).

cnf(c_0_90,plain,
    ( op(e3,e1) != e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_91,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_92,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_93,plain,
    ( op(e2,e0) != e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_84,c_0_32]) ).

cnf(c_0_94,plain,
    ( op(e2,e1) != e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_85,c_0_71]) ).

cnf(c_0_95,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) = e0
    | op(e2,e0) = e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_86]),c_0_61]),c_0_87]) ).

cnf(c_0_96,plain,
    ( op(e3,e3) != e3
    | op(e2,e2) != e3
    | op(e1,e1) != e3
    | op(e0,e0) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_97,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_89]),c_0_75]) ).

cnf(c_0_98,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_99,plain,
    op(e2,e1) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_100,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) = e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_92]),c_0_69]),c_0_93]),c_0_34]) ).

cnf(c_0_101,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e2) = e0
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_102,plain,
    ( op(e2,e2) != e3
    | op(e1,e1) != e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_83]) ).

cnf(c_0_103,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e1) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_98]),c_0_61]) ).

cnf(c_0_104,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_105,plain,
    ( op(e2,e1) != e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_32]) ).

cnf(c_0_106,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_69]) ).

cnf(c_0_107,plain,
    ( op(e2,e2) != e3
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_108,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) = e2
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_29]),c_0_36]),c_0_105]) ).

cnf(c_0_109,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_80,c_0_106]) ).

cnf(c_0_110,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_107,c_0_86]) ).

cnf(c_0_111,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_112,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_103]),c_0_75]) ).

cnf(c_0_113,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_61]) ).

cnf(c_0_114,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_97]) ).

cnf(c_0_115,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_113]),c_0_69]) ).

cnf(c_0_116,plain,
    ( unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_75]) ).

cnf(c_0_117,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_118,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_119,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_116]) ).

cnf(c_0_120,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_117,c_0_116]) ).

cnf(c_0_121,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_122,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_116]) ).

cnf(c_0_123,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_124,plain,
    ( op(e3,e1) != e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_125,plain,
    ( op(e2,e1) != e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_99,c_0_120]) ).

cnf(c_0_126,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_33]) ).

cnf(c_0_127,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_38,c_0_116]) ).

cnf(c_0_128,plain,
    ( op(e1,e0) != e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_129,plain,
    ( op(e1,e3) != e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_123,c_0_120]) ).

cnf(c_0_130,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_131,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e1) = e3
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_91]),c_0_125]) ).

cnf(c_0_132,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) = e2
    | op(e1,e0) = e2
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_36]),c_0_44]),c_0_128]) ).

cnf(c_0_133,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_134,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_135,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) = e3
    | op(e1,e1) = e0
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_75]) ).

fof(c_0_136,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).

cnf(c_0_137,plain,
    ( op(e1,e0) != e2
    | unit = e0
    | unit = e1
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_138,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) = e3
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_135]),c_0_61]) ).

cnf(c_0_139,plain,
    ( e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1))) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_140,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_141,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e0,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_142,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_143,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_144,plain,
    ( op(e1,e3) != e0
    | op(e1,op(e1,e3)) != e2
    | unit = e0
    | unit = e1
    | op(e0,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_139,c_0_131]) ).

cnf(c_0_145,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e1) = e3
    | op(e1,e3) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_127]) ).

cnf(c_0_146,plain,
    op(e1,e1) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_147,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_148,plain,
    ( op(e0,e1) != e3
    | op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_149,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_138]) ).

cnf(c_0_150,plain,
    ( op(e1,e1) != e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_146,c_0_127]) ).

cnf(c_0_151,plain,
    ( op(e1,e1) != e2
    | unit = e0
    | unit = e1
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_134]) ).

cnf(c_0_152,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).

cnf(c_0_153,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_154,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

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

cnf(c_0_156,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_36]) ).

cnf(c_0_157,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_158,plain,
    ( op(e1,e2) != e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_119]) ).

cnf(c_0_159,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) = e0
    | op(e1,e3) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_155]),c_0_127]) ).

cnf(c_0_160,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_120]),c_0_75]),c_0_69]) ).

cnf(c_0_161,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e0) = e3
    | op(e1,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_157]),c_0_158]) ).

fof(c_0_162,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_163,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e1) = e0
    | op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_33]) ).

cnf(c_0_164,plain,
    ( op(e0,e1) != e3
    | unit = e0
    | unit = e1
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_142,c_0_161]) ).

cnf(c_0_165,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_166,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_116]) ).

cnf(c_0_167,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,op(e1,e1))
    | e2 != op(e1,op(e1,op(e1,e1))) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_168,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e1) = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_163]),c_0_44]) ).

cnf(c_0_169,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_164,c_0_149]) ).

cnf(c_0_170,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_171,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_172,plain,
    ( op(e0,e0) != e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_111,c_0_149]) ).

cnf(c_0_173,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_174,plain,
    ( op(e0,e0) != e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_175,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_176,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_177,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_178,plain,
    ( op(e1,op(e1,e0)) != e2
    | unit = e0
    | unit = e1
    | op(e0,e3) = e1
    | op(e0,e3) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).

cnf(c_0_179,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_180,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_124,c_0_170]) ).

cnf(c_0_181,plain,
    ( op(e3,e0) != e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_171,c_0_119]) ).

cnf(c_0_182,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_183,plain,
    ( op(e3,e3) != e2
    | op(e2,e2) != e2
    | op(e1,e1) != e2
    | op(e0,e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_184,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).

cnf(c_0_185,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_24,c_0_116]) ).

cnf(c_0_186,plain,
    ( op(e0,e3) != e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_175,c_0_120]) ).

cnf(c_0_187,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_188,plain,
    ( op(e3,e2) != e3
    | op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_189,plain,
    ( op(e1,e3) != e2
    | unit = e1
    | unit = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_178,c_0_169]) ).

fof(c_0_190,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,op(e3,e3))
    | e2 != op(e3,op(e3,op(e3,e3))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])]) ).

cnf(c_0_191,plain,
    ( op(e3,e0) != e2
    | unit = e0
    | unit = e1
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_192,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_193,plain,
    ( op(e3,e3) != e2
    | op(e1,e1) != e2
    | unit = e0
    | unit = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).

cnf(c_0_194,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_195,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_196,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_197,plain,
    ( unit = e0
    | unit = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_119]) ).

cnf(c_0_198,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_189,c_0_160]) ).

cnf(c_0_199,plain,
    ( e1 != op(e3,e3)
    | e0 != op(e3,op(e3,e3))
    | e2 != op(e3,op(e3,op(e3,e3))) ),
    inference(split_conjunct,[status(thm)],[c_0_190]) ).

cnf(c_0_200,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_201,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_202,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_23,c_0_116]) ).

cnf(c_0_203,plain,
    ( op(e3,e3) != e2
    | unit = e1
    | unit = e0
    | op(e0,e0) = e1
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_193,c_0_152]) ).

cnf(c_0_204,plain,
    ( op(e0,e0) != e2
    | unit = e0
    | unit = e1
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_205,plain,
    ( op(e0,e3) != e2
    | unit = e1
    | unit = e0
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_206,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_198]),c_0_127]) ).

cnf(c_0_207,plain,
    ( op(e3,e1) != e0
    | op(e3,op(e3,e1)) != e2
    | op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_208,plain,
    ( unit = e0
    | unit = e1
    | op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_201]),c_0_202]) ).

cnf(c_0_209,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_210,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) = e0
    | op(e0,e0) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_203,c_0_197]) ).

cnf(c_0_211,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_204,c_0_184]) ).

cnf(c_0_212,plain,
    op(e3,e0) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_213,plain,
    ( unit = e0
    | unit = e1
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_214,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_44]),c_0_192]) ).

cnf(c_0_215,plain,
    ( op(e0,e3) != e2
    | unit = e0
    | unit = e1
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_209,c_0_134]) ).

cnf(c_0_216,plain,
    ( op(e0,e3) != e1
    | unit = e1
    | unit = e0
    | op(e3,e3) = e0
    | op(e0,e0) = e1
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_210]) ).

cnf(c_0_217,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e0) = e1
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_206]),c_0_36]),c_0_33]) ).

cnf(c_0_218,plain,
    ( op(e3,e0) != e1
    | unit = e1
    | unit = e0
    | op(e0,e3) = e1
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_219,plain,
    ( unit = e0
    | unit = e1
    | op(e3,e0) = e0
    | op(e3,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_214]),c_0_69]) ).

cnf(c_0_220,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_215,c_0_206]) ).

cnf(c_0_221,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_222,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) = e0
    | op(e0,e0) = e1
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_223,plain,
    ( unit = e0
    | unit = e1
    | op(e3,e3) = e0
    | op(e0,e3) = e1
    | op(e3,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_224,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) = e1
    | op(e1,e3) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_220]),c_0_127]) ).

cnf(c_0_225,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e0) = e1
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_159]) ).

cnf(c_0_226,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e0) = e0
    | op(e0,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_223]),c_0_224]) ).

cnf(c_0_227,plain,
    ( op(e1,op(e1,e0)) != e2
    | unit = e0
    | unit = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_225]),c_0_169]) ).

cnf(c_0_228,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_226]),c_0_122]) ).

cnf(c_0_229,plain,
    ( op(e1,e3) != e2
    | unit = e1
    | unit = e0
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_227,c_0_169]) ).

cnf(c_0_230,plain,
    ( op(e0,e0) != e1
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_228]) ).

cnf(c_0_231,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_134]),c_0_230]) ).

cnf(c_0_232,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_231]),c_0_228]) ).

cnf(c_0_233,plain,
    ( op(e1,e1) != e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_147,c_0_232]) ).

cnf(c_0_234,plain,
    ( unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_225]),c_0_230]) ).

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

cnf(c_0_236,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_237,plain,
    ( unit = e0
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_117,c_0_234]) ).

cnf(c_0_238,plain,
    ( op(e1,e3) != e3
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_123,c_0_235]) ).

cnf(c_0_239,plain,
    ( op(e3,e1) != e3
    | op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_118,c_0_236]) ).

cnf(c_0_240,plain,
    ( unit = e0
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_76,c_0_234]) ).

cnf(c_0_241,plain,
    ( op(e1,e2) != e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_140,c_0_237]) ).

cnf(c_0_242,plain,
    ( unit = e0
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_238,c_0_237]) ).

cnf(c_0_243,plain,
    ( unit = e0
    | op(e2,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_24,c_0_234]) ).

cnf(c_0_244,plain,
    op(e2,e0) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_245,plain,
    ( unit = e0
    | op(e2,e2) = e3
    | op(e0,e2) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]) ).

cnf(c_0_246,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_247,plain,
    ( e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).

cnf(c_0_248,plain,
    ( unit = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_242]),c_0_243]) ).

cnf(c_0_249,plain,
    ( op(e2,e0) != e3
    | unit = e0
    | op(e0,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_250,plain,
    ( op(e2,e0) != e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_243]) ).

cnf(c_0_251,plain,
    ( e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2))) ),
    inference(split_conjunct,[status(thm)],[c_0_247]) ).

cnf(c_0_252,plain,
    ( op(e2,e0) != e1
    | unit = e0
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_84,c_0_248]) ).

cnf(c_0_253,plain,
    ( unit = e0
    | op(e0,e2) = e3
    | op(e2,e0) = e0
    | op(e2,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_92]),c_0_250]) ).

cnf(c_0_254,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_255,plain,
    ( op(e2,e3) != e0
    | op(e2,op(e2,e3)) != e1
    | unit = e0
    | op(e0,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_251,c_0_245]) ).

cnf(c_0_256,plain,
    ( unit = e0
    | op(e2,e3) = e0
    | op(e2,e0) = e0
    | op(e0,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_257,plain,
    ( op(e0,e0) != e3
    | op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_165,c_0_254]) ).

cnf(c_0_258,plain,
    ( unit = e0
    | op(e0,e2) = e3
    | op(e2,e0) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_253]) ).

cnf(c_0_259,plain,
    ( unit = e0
    | op(e1,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_234]) ).

cnf(c_0_260,plain,
    ( unit = e0
    | op(e0,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_234]) ).

fof(c_0_261,plain,
    ( e2 != op(e0,e0)
    | e3 != op(e0,op(e0,e0))
    | e1 != op(e0,op(e0,op(e0,e0))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])]) ).

cnf(c_0_262,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_257,c_0_173]) ).

cnf(c_0_263,plain,
    ( unit = e0
    | op(e0,e2) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_258]),c_0_259]) ).

cnf(c_0_264,plain,
    ( op(e0,e0) != e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_111,c_0_260]) ).

cnf(c_0_265,plain,
    ( op(e0,e3) != e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_209,c_0_237]) ).

cnf(c_0_266,plain,
    ( e2 != op(e0,e0)
    | e3 != op(e0,op(e0,e0))
    | e1 != op(e0,op(e0,op(e0,e0))) ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_267,plain,
    ( unit = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_61]),c_0_69]),c_0_75]),c_0_264]) ).

cnf(c_0_268,plain,
    ( unit = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_265,c_0_187]) ).

cnf(c_0_269,plain,
    ( op(e0,op(e0,e2)) != e1
    | unit = e0
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_263]) ).

cnf(c_0_270,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_271,plain,
    ( op(e0,e0) != e2
    | unit = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_268]) ).

cnf(c_0_272,plain,
    ( op(e0,e3) != e1
    | unit = e0
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_269,c_0_263]) ).

cnf(c_0_273,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_274,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_275,plain,
    ( op(e3,e1) != e3
    | op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_118,c_0_270]) ).

cnf(c_0_276,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_277,plain,
    ( unit = e0
    | op(e0,e3) = e0
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_267]),c_0_272]) ).

cnf(c_0_278,plain,
    ( op(e0,e2) != e3
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_279,plain,
    ( unit = e0
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_240]) ).

cnf(c_0_280,plain,
    ( unit = e0
    | op(e1,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_30,c_0_234]) ).

cnf(c_0_281,plain,
    ( op(e3,e3) != e1
    | op(e2,e2) != e1
    | op(e1,e1) != e1
    | op(e0,e0) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_282,plain,
    ( unit = e0
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_260]) ).

cnf(c_0_283,plain,
    ( unit = e0
    | op(e1,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_38,c_0_234]) ).

cnf(c_0_284,plain,
    ( unit = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_278,c_0_263]) ).

cnf(c_0_285,plain,
    ( op(e3,e2) != e1
    | op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_176,c_0_153]) ).

cnf(c_0_286,plain,
    ( unit = e0
    | op(e3,e2) = e0
    | op(e3,e2) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_279]),c_0_280]) ).

cnf(c_0_287,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_288,plain,
    ( op(e3,e3) != e1
    | op(e2,e2) != e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]) ).

cnf(c_0_289,plain,
    ( unit = e0
    | op(e2,e2) = e0
    | op(e2,e2) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_284]),c_0_280]) ).

cnf(c_0_290,plain,
    op(e2,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_291,plain,
    ( unit = e0
    | op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_292,plain,
    ( op(e1,e3) != e3
    | op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_123,c_0_77]) ).

cnf(c_0_293,plain,
    ( op(e2,e1) != e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_240]) ).

cnf(c_0_294,plain,
    ( op(e2,e2) != e1
    | unit = e0
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_248]) ).

cnf(c_0_295,plain,
    ( op(e3,e3) != e1
    | unit = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_296,plain,
    ( op(e2,e2) != e0
    | unit = e0
    | op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_297,plain,
    ( unit = e0
    | op(e2,e2) = e3
    | op(e2,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_237]),c_0_293]) ).

fof(c_0_298,plain,
    ( e0 != op(e2,e2)
    | e3 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])]) ).

cnf(c_0_299,plain,
    ( unit = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_294,c_0_289]) ).

cnf(c_0_300,plain,
    ( unit = e0
    | op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_153]),c_0_296]) ).

cnf(c_0_301,plain,
    ( op(e0,e2) != e3
    | unit = e0
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_273,c_0_297]) ).

cnf(c_0_302,plain,
    ( e0 != op(e2,e2)
    | e3 != op(e2,op(e2,e2))
    | e1 != op(e2,op(e2,op(e2,e2))) ),
    inference(split_conjunct,[status(thm)],[c_0_298]) ).

cnf(c_0_303,plain,
    ( unit = e0
    | op(e2,e2) = e0
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_44]) ).

cnf(c_0_304,plain,
    ( unit = e0
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_301,c_0_263]) ).

cnf(c_0_305,plain,
    ( op(e2,op(e2,e0)) != e1
    | unit = e0
    | op(e0,e3) = e1
    | op(e1,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]) ).

cnf(c_0_306,plain,
    ( unit = e0
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_304]),c_0_300]) ).

cnf(c_0_307,plain,
    ( unit = e0
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_306]),c_0_69]) ).

cnf(c_0_308,plain,
    unit = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_307]),c_0_282]) ).

cnf(c_0_309,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_24,c_0_308]) ).

cnf(c_0_310,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_311,plain,
    op(e0,e1) = e1,
    inference(rw,[status(thm)],[c_0_23,c_0_308]) ).

cnf(c_0_312,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

fof(c_0_313,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])]) ).

cnf(c_0_314,plain,
    op(e0,e3) = e3,
    inference(rw,[status(thm)],[c_0_117,c_0_308]) ).

cnf(c_0_315,plain,
    op(e2,e3) != e2,
    inference(rw,[status(thm)],[c_0_84,c_0_309]) ).

cnf(c_0_316,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_200]),c_0_36]) ).

cnf(c_0_317,plain,
    op(e3,e0) = e3,
    inference(rw,[status(thm)],[c_0_76,c_0_308]) ).

cnf(c_0_318,plain,
    op(e3,e1) != e1,
    inference(rw,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_319,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_312]),c_0_33]) ).

cnf(c_0_320,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_321,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_322,plain,
    op(e0,e2) = e2,
    inference(rw,[status(thm)],[c_0_30,c_0_308]) ).

cnf(c_0_323,plain,
    ( e2 != op(e3,e3)
    | e1 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3))) ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_324,plain,
    ( op(e1,e3) = e2
    | op(e3,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_314]),c_0_75]),c_0_315]) ).

cnf(c_0_325,plain,
    ( op(e3,e2) = e1
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_314]),c_0_75]),c_0_317]),c_0_318]),c_0_69]),c_0_315]) ).

cnf(c_0_326,plain,
    ( op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_314]),c_0_75]),c_0_317]),c_0_61]),c_0_315]) ).

cnf(c_0_327,plain,
    ( op(e0,e3) != e3
    | op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_196,c_0_177]) ).

cnf(c_0_328,plain,
    op(e1,e0) = e1,
    inference(rw,[status(thm)],[c_0_38,c_0_308]) ).

cnf(c_0_329,plain,
    ( op(e1,e3) != e2
    | op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_221,c_0_320]) ).

cnf(c_0_330,plain,
    op(e3,e2) != e2,
    inference(rw,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_331,plain,
    ( op(e3,op(e3,e2)) != e0
    | op(e1,e3) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325]) ).

cnf(c_0_332,plain,
    ( op(e1,e3) = e2
    | op(e3,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_44]) ).

cnf(c_0_333,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_314])]) ).

cnf(c_0_334,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_312]),c_0_44]) ).

cnf(c_0_335,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_133,c_0_328]) ).

cnf(c_0_336,plain,
    ( op(e1,e3) != e2
    | op(e3,e1) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_317]),c_0_75]),c_0_330]) ).

cnf(c_0_337,plain,
    op(e1,e3) = e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_325]),c_0_332]) ).

cnf(c_0_338,plain,
    ( op(e1,e3) != e2
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_221,c_0_333]) ).

fof(c_0_339,plain,
    ( e3 != op(e2,e2)
    | e1 != op(e2,op(e2,e2))
    | e0 != op(e2,op(e2,op(e2,e2))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])]) ).

cnf(c_0_340,plain,
    ( op(e0,e3) != e3
    | op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_175,c_0_77]) ).

fof(c_0_341,plain,
    ( e1 != op(e3,e3)
    | e2 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3))) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).

cnf(c_0_342,plain,
    ( op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e2,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_314]),c_0_69]),c_0_317]),c_0_61]),c_0_335]) ).

cnf(c_0_343,plain,
    op(e3,e1) = e2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_337])]) ).

cnf(c_0_344,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_345,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_337])]) ).

cnf(c_0_346,plain,
    ( op(e0,e3) != e3
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_175,c_0_235]) ).

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

cnf(c_0_348,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_314])]),c_0_309]),c_0_75]) ).

cnf(c_0_349,plain,
    ( e1 != op(e3,e3)
    | e2 != op(e3,op(e3,e3))
    | e0 != op(e3,op(e3,op(e3,e3))) ),
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_350,plain,
    ( op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_314]),c_0_69]),c_0_335]) ).

cnf(c_0_351,plain,
    ( op(e2,e3) = e1
    | op(e3,e2) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_343]),c_0_33]) ).

cnf(c_0_352,plain,
    ( op(e2,e3) != e1
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_353,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_314])]),c_0_315]) ).

cnf(c_0_354,plain,
    ( op(e2,e3) != e1
    | op(e2,op(e2,e3)) != e0
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_355,plain,
    op(e2,e3) = e1,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_343]),c_0_343])]),c_0_351]) ).

cnf(c_0_356,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_357,plain,
    ( op(e3,e3) != e0
    | op(e2,e2) != e0
    | op(e1,e1) != e0
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_358,plain,
    op(e0,e0) = e0,
    inference(rw,[status(thm)],[c_0_21,c_0_308]) ).

cnf(c_0_359,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_360,plain,
    ( op(e3,e0) != e3
    | op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_179,c_0_91]) ).

cnf(c_0_361,plain,
    ( op(e2,e1) != e0
    | op(e2,e1) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_355]),c_0_355])]) ).

cnf(c_0_362,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_311]),c_0_44]),c_0_343]),c_0_33]) ).

cnf(c_0_363,plain,
    ( op(e3,e3) != e0
    | op(e2,e2) != e0
    | op(e1,e1) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_358])]) ).

cnf(c_0_364,plain,
    op(e3,e3) = e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_355]),c_0_44]) ).

cnf(c_0_365,plain,
    ( op(e2,e1) = e3
    | op(e1,e1) = e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_311]),c_0_69]),c_0_317])]) ).

cnf(c_0_366,plain,
    op(e1,e1) = e0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_61]) ).

cnf(c_0_367,plain,
    ( op(e2,e2) != e1
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_353]) ).

cnf(c_0_368,plain,
    ( op(e2,e2) != e0
    | op(e1,e1) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_364])]) ).

cnf(c_0_369,plain,
    ( op(e2,e1) != e3
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_85,c_0_274]) ).

cnf(c_0_370,plain,
    op(e2,e1) = e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_366]),c_0_61]) ).

cnf(c_0_371,plain,
    op(e2,e2) != e2,
    inference(rw,[status(thm)],[c_0_273,c_0_322]) ).

cnf(c_0_372,plain,
    op(e2,e2) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_367,c_0_355]),c_0_44]) ).

cnf(c_0_373,plain,
    op(e2,e2) != e0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_366])]) ).

cnf(c_0_374,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_370])]),c_0_371]),c_0_372]),c_0_373]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG046+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 12:56:30 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/0.63  % Version: 3.5.1
% 1.13/0.63  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.13/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.63  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.13/0.63  % Starting new_bool_3 with 300s (1) cores
% 1.13/0.63  % Starting new_bool_1 with 300s (1) cores
% 1.13/0.63  % Starting sh5l with 300s (1) cores
% 1.13/0.63  % new_bool_1 with pid 1931359 completed with status 9
% 1.13/0.63  % sh5l with pid 1931361 completed with status 9
% 1.13/0.63  % new_bool_3 with pid 1931358 completed with status 9
% 1.13/0.63  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1931357 completed with status 0
% 1.13/0.63  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.13/0.63  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.13/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.63  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.13/0.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.13/0.63  % No SInE strategy applied
% 1.13/0.63  % Search class: FGHPF-FFLM22-MFFFFFNN
% 1.13/0.63  % partial match(1): FGHPF-FSLM22-MFFFFFNN
% 1.13/0.63  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.13/0.63  % Starting SubtermCWHack with 136s (1) cores
% 1.13/0.63  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.13/0.63  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.13/0.63  % Starting new_bool_3 with 136s (1) cores
% 1.13/0.63  % Starting new_bool_1 with 136s (1) cores
% 1.13/0.63  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1931378 completed with status 0
% 1.13/0.63  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.13/0.63  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.13/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.63  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.13/0.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.13/0.63  % No SInE strategy applied
% 1.13/0.63  % Search class: FGHPF-FFLM22-MFFFFFNN
% 1.13/0.63  % partial match(1): FGHPF-FSLM22-MFFFFFNN
% 1.13/0.63  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.13/0.63  % Starting SubtermCWHack with 136s (1) cores
% 1.13/0.63  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.13/0.63  % Preprocessing time       : 0.001 s
% 1.13/0.63  % Presaturation interreduction done
% 1.13/0.63  
% 1.13/0.63  % Proof found!
% 1.13/0.63  % SZS status Unsatisfiable
% 1.13/0.63  % SZS output start CNFRefutation
% See solution above
% 1.13/0.64  % Parsed axioms                        : 30
% 1.13/0.64  % Removed by relevancy pruning/SinE    : 0
% 1.13/0.64  % Initial clauses                      : 139
% 1.13/0.64  % Removed in clause preprocessing      : 0
% 1.13/0.64  % Initial clauses in saturation        : 139
% 1.13/0.64  % Processed clauses                    : 2768
% 1.13/0.64  % ...of these trivial                  : 73
% 1.13/0.64  % ...subsumed                          : 1659
% 1.13/0.64  % ...remaining for further processing  : 1036
% 1.13/0.64  % Other redundant clauses eliminated   : 0
% 1.13/0.64  % Clauses deleted for lack of memory   : 0
% 1.13/0.64  % Backward-subsumed                    : 411
% 1.13/0.64  % Backward-rewritten                   : 424
% 1.13/0.64  % Generated clauses                    : 7870
% 1.13/0.64  % ...of the previous two non-redundant : 7555
% 1.13/0.64  % ...aggressively subsumed             : 0
% 1.13/0.64  % Contextual simplify-reflections      : 65
% 1.13/0.64  % Paramodulations                      : 7653
% 1.13/0.64  % Factorizations                       : 182
% 1.13/0.64  % NegExts                              : 0
% 1.13/0.64  % Equation resolutions                 : 0
% 1.13/0.64  % Disequality decompositions           : 0
% 1.13/0.64  % Total rewrite steps                  : 766
% 1.13/0.64  % ...of those cached                   : 750
% 1.13/0.64  % Propositional unsat checks           : 0
% 1.13/0.64  %    Propositional check models        : 0
% 1.13/0.64  %    Propositional check unsatisfiable : 0
% 1.13/0.64  %    Propositional clauses             : 0
% 1.13/0.64  %    Propositional clauses after purity: 0
% 1.13/0.64  %    Propositional unsat core size     : 0
% 1.13/0.64  %    Propositional preprocessing time  : 0.000
% 1.13/0.64  %    Propositional encoding time       : 0.000
% 1.13/0.64  %    Propositional solver time         : 0.000
% 1.13/0.64  %    Success case prop preproc time    : 0.000
% 1.13/0.64  %    Success case prop encoding time   : 0.000
% 1.13/0.64  %    Success case prop solver time     : 0.000
% 1.13/0.64  % Current number of processed clauses  : 27
% 1.13/0.64  %    Positive orientable unit clauses  : 16
% 1.13/0.64  %    Positive unorientable unit clauses: 0
% 1.13/0.64  %    Negative unit clauses             : 9
% 1.13/0.64  %    Non-unit-clauses                  : 2
% 1.13/0.64  % Current number of unprocessed clauses: 4534
% 1.13/0.64  % ...number of literals in the above   : 35963
% 1.13/0.64  % Current number of archived formulas  : 0
% 1.13/0.64  % Current number of archived clauses   : 1009
% 1.13/0.64  % Clause-clause subsumption calls (NU) : 16967
% 1.13/0.64  % Rec. Clause-clause subsumption calls : 2187
% 1.13/0.64  % Non-unit clause-clause subsumptions  : 809
% 1.13/0.64  % Unit Clause-clause subsumption calls : 794
% 1.13/0.64  % Rewrite failures with RHS unbound    : 0
% 1.13/0.64  % BW rewrite match attempts            : 16
% 1.13/0.64  % BW rewrite match successes           : 16
% 1.13/0.64  % Condensation attempts                : 0
% 1.13/0.64  % Condensation successes               : 0
% 1.13/0.64  % Termbank termtop insertions          : 119098
% 1.13/0.64  % Search garbage collected termcells   : 355
% 1.13/0.64  
% 1.13/0.64  % -------------------------------------------------
% 1.13/0.64  % User time                : 0.195 s
% 1.13/0.64  % System time              : 0.013 s
% 1.13/0.64  % Total time               : 0.208 s
% 1.13/0.64  % Maximum resident set size: 3696 pages
% 1.13/0.64  
% 1.13/0.64  % -------------------------------------------------
% 1.13/0.64  % User time                : 1.018 s
% 1.13/0.64  % System time              : 0.090 s
% 1.13/0.64  % Total time               : 1.108 s
% 1.13/0.64  % Maximum resident set size: 4608 pages
% 1.13/0.64  % E exiting
%------------------------------------------------------------------------------