TSTP Solution File: ALG046+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG046+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:06:53 EDT 2024

% Result   : Unsatisfiable 1.05s 0.69s
% Output   : CNFRefutation 1.05s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(ax4,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

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

fof(ax3,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(ax29,axiom,
    ~ ( e3 = op(e2,op(e2,op(e2,e2)))
      & e0 = op(e2,op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).

fof(ax27,axiom,
    ~ ( e3 = op(e1,op(e1,op(e1,e1)))
      & e0 = op(e1,op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(ax30,axiom,
    ~ ( e3 = op(e2,op(e2,op(e2,e2)))
      & e1 = op(e2,op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).

fof(ax6,axiom,
    ~ ( ( op(e0,e0) = e0
        & op(e1,e1) = e0
        & op(e2,e2) = e0
        & op(e3,e3) = e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(ax1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(ax23,axiom,
    ~ ( e2 = op(e3,op(e3,op(e3,e3)))
      & e0 = op(e3,op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(ax21,axiom,
    ~ ( e2 = op(e1,op(e1,op(e1,e1)))
      & e0 = op(e1,op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(ax22,axiom,
    ~ ( e2 = op(e1,op(e1,op(e1,e1)))
      & e3 = op(e1,op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(ax15,axiom,
    ~ ( e1 = op(e2,op(e2,op(e2,e2)))
      & e0 = op(e2,op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(ax14,axiom,
    ~ ( e1 = op(e0,op(e0,op(e0,e0)))
      & e3 = op(e0,op(e0,e0))
      & e2 = op(e0,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(ax16,axiom,
    ~ ( e1 = op(e2,op(e2,op(e2,e2)))
      & e3 = op(e2,op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(ax12,axiom,
    ~ ( e0 = op(e3,op(e3,op(e3,e3)))
      & e2 = op(e3,op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

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

fof(ax9,axiom,
    ~ ( e0 = op(e2,op(e2,op(e2,e2)))
      & e1 = op(e2,op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

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

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

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

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

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

cnf(c_0_25,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_26,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_nnf,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    op(e2,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    ( op(e3,e0) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,plain,
    op(e2,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,plain,
    ( op(e3,e1) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_22]) ).

cnf(c_0_31,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_32,plain,
    op(e0,e2) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_33,plain,
    ( op(e0,e3) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_24,c_0_22]) ).

cnf(c_0_34,plain,
    ( op(e2,e3) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_22]) ).

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

cnf(c_0_36,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_38,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_39,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_41,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_42,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_43,plain,
    ( op(e3,e2) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_22]) ).

cnf(c_0_44,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_45,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_46,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_47,plain,
    ( e3 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).

cnf(c_0_48,plain,
    ( op(e2,e2) = e0
    | op(e2,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]) ).

cnf(c_0_49,plain,
    ( op(e2,e2) = e1
    | op(e2,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_39]),c_0_40]) ).

cnf(c_0_50,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_51,plain,
    ( e3 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])]) ).

cnf(c_0_52,plain,
    ( op(e1,e3) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_22]) ).

cnf(c_0_53,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_54,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_55,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_56,plain,
    ( op(e2,e2) = e0
    | op(e1,e2) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]),c_0_45]) ).

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

cnf(c_0_58,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_33]) ).

cnf(c_0_59,plain,
    ( e3 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_60,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_61,plain,
    ( e3 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_62,plain,
    ( op(e1,e1) = e2
    | op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_39]),c_0_54]) ).

cnf(c_0_63,plain,
    ( op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_64,plain,
    ( op(e2,e1) = e0
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_57]),c_0_50]),c_0_58]) ).

cnf(c_0_65,plain,
    ( op(e2,e0) = e1
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,op(e2,e1)) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_49]),c_0_60]) ).

cnf(c_0_66,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_67,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_68,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_69,plain,
    op(e2,e1) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_70,plain,
    ( op(e1,e0) = e2
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e1,op(e1,e2)) != e3
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

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

cnf(c_0_72,plain,
    ( op(e2,e0) = e1
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_65,c_0_60]) ).

cnf(c_0_73,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_66]),c_0_67]) ).

cnf(c_0_74,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_75,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_76,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_77,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_68,c_0_52]) ).

cnf(c_0_78,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_79,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_80,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_81,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_69,c_0_34]) ).

cnf(c_0_82,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_83,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_84,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_85,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_75,c_0_34]) ).

cnf(c_0_86,plain,
    ( op(e2,e2) = e1
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_76]),c_0_39]),c_0_77]) ).

cnf(c_0_87,plain,
    ( op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_78]),c_0_79]) ).

cnf(c_0_88,plain,
    ( op(e1,e1) = e2
    | op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_80]),c_0_39]),c_0_81]) ).

cnf(c_0_89,plain,
    ( op(e0,e0) = e3
    | op(e1,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_79]) ).

cnf(c_0_90,plain,
    ( op(e1,e0) = e2
    | op(e0,e0) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_84]),c_0_36]),c_0_85]) ).

cnf(c_0_91,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_86]),c_0_50]) ).

cnf(c_0_92,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_74]) ).

cnf(c_0_93,plain,
    op(e0,e0) != op(e0,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_94,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_36]) ).

cnf(c_0_95,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_83]),c_0_79]) ).

fof(c_0_96,plain,
    ( e3 != op(e2,op(e2,op(e2,e2)))
    | e1 != op(e2,op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).

cnf(c_0_97,plain,
    op(e0,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_98,plain,
    op(e0,e0) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_99,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_67]) ).

cnf(c_0_100,plain,
    ( op(e0,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).

cnf(c_0_101,plain,
    ( e3 != op(e2,op(e2,op(e2,e2)))
    | e1 != op(e2,op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_102,plain,
    ( op(e2,e0) = e1
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_97,c_0_49]) ).

cnf(c_0_103,plain,
    ( op(e0,e2) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

fof(c_0_104,plain,
    ( ( op(e0,e0) != e0
      | op(e1,e1) != e0
      | op(e2,e2) != e0
      | op(e3,e3) != e0 )
    & ( op(e0,e0) != e1
      | op(e1,e1) != e1
      | op(e2,e2) != e1
      | op(e3,e3) != e1 )
    & ( op(e0,e0) != e2
      | op(e1,e1) != e2
      | op(e2,e2) != e2
      | op(e3,e3) != e2 )
    & ( op(e0,e0) != e3
      | op(e1,e1) != e3
      | op(e2,e2) != e3
      | op(e3,e3) != e3 ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).

cnf(c_0_105,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_106,plain,
    ( op(e2,e1) = e0
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,op(e2,e0)) != e3
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_101,c_0_48]) ).

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

cnf(c_0_108,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_109,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_110,plain,
    ( op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0
    | op(e2,op(e2,e0)) != e3
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_101,c_0_56]) ).

cnf(c_0_111,plain,
    ( op(e2,e0) = e1
    | op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_49]),c_0_50]) ).

cnf(c_0_112,plain,
    ( op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_113,plain,
    ( op(e3,e3) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_22]) ).

cnf(c_0_114,plain,
    ( op(e2,e1) = e0
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_115,plain,
    ( op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_108]),c_0_74]) ).

cnf(c_0_116,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_109]),c_0_79]) ).

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

cnf(c_0_118,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e1,e1) != e3
    | op(e2,e2) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_100]),c_0_113]) ).

cnf(c_0_119,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_67]) ).

cnf(c_0_120,plain,
    ( op(e2,e0) = e3
    | op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_116]),c_0_67]),c_0_117]) ).

cnf(c_0_121,plain,
    ( op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_122,plain,
    ( op(e1,e2) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_120]),c_0_74]) ).

cnf(c_0_123,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e1) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_87]) ).

cnf(c_0_124,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_119]),c_0_79]) ).

cnf(c_0_125,plain,
    ( op(e0,e1) = e3
    | op(e0,e2) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_67]) ).

cnf(c_0_126,plain,
    ( op(e0,e1) = e2
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_124]),c_0_100]) ).

cnf(c_0_127,plain,
    ( op(e0,e1) = e3
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_125]),c_0_74]) ).

cnf(c_0_128,plain,
    ( unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_79]) ).

cnf(c_0_129,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_130,plain,
    op(e3,e1) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_131,plain,
    ( op(e3,e2) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_105,c_0_128]) ).

cnf(c_0_132,plain,
    ( op(e2,e3) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_129,c_0_128]) ).

cnf(c_0_133,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_134,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_135,plain,
    op(e3,e0) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_136,plain,
    op(e1,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_137,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_69,c_0_132]) ).

cnf(c_0_138,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_139,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_140,plain,
    ( unit = e1
    | unit = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_135,c_0_131]) ).

cnf(c_0_141,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_142,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_136,c_0_132]) ).

cnf(c_0_143,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_144,plain,
    op(e1,e0) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_145,plain,
    ( op(e1,e1) = e3
    | op(e0,e1) = e3
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_108]),c_0_137]) ).

cnf(c_0_146,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_147,plain,
    ( op(e1,e2) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_41,c_0_128]) ).

cnf(c_0_148,plain,
    op(e1,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_149,plain,
    ( op(e2,e0) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_21,c_0_128]) ).

fof(c_0_150,plain,
    ( e2 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])]) ).

cnf(c_0_151,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | unit = e1
    | unit = e0
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_152,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_153,plain,
    op(e1,e0) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

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

cnf(c_0_155,plain,
    ( op(e0,e1) = e3
    | unit = e1
    | unit = e0
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_156,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_157,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_158,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_159,plain,
    ( e2 != op(e3,op(e3,op(e3,e3)))
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_160,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_161,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_162,plain,
    ( op(e2,e1) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_23,c_0_128]) ).

fof(c_0_163,plain,
    ( e2 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).

cnf(c_0_164,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e1
    | unit = e0
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_165,plain,
    ( op(e1,e0) = e2
    | op(e0,e1) = e3
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158]) ).

cnf(c_0_166,plain,
    ( op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e3,op(e3,e1)) != e2
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_167,plain,
    ( op(e3,e1) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_161]),c_0_162]) ).

cnf(c_0_168,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_169,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_42,c_0_131]) ).

cnf(c_0_170,plain,
    ( e2 != op(e1,op(e1,op(e1,e1)))
    | e0 != op(e1,op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_171,plain,
    ( op(e0,e1) = e3
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_172,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e2) = e1
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_50]),c_0_152]) ).

cnf(c_0_173,plain,
    op(e2,e0) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_174,plain,
    ( op(e2,e2) = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_25,c_0_128]) ).

cnf(c_0_175,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_176,plain,
    ( op(e1,e1) = e3
    | op(e1,e0) = e3
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_168]),c_0_169]) ).

cnf(c_0_177,plain,
    ( op(e0,e1) = e3
    | unit = e1
    | unit = e0
    | op(e1,op(e1,e3)) != e2
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_145]) ).

cnf(c_0_178,plain,
    ( op(e1,e3) = e0
    | op(e0,e1) = e3
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_171]),c_0_147]) ).

cnf(c_0_179,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_172]),c_0_74]) ).

cnf(c_0_180,plain,
    ( unit = e1
    | unit = e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_181,plain,
    ( op(e1,e0) = e3
    | unit = e1
    | unit = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_182,plain,
    ( op(e0,e1) = e3
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_165]) ).

cnf(c_0_183,plain,
    ( op(e3,e0) = e0
    | op(e1,e0) = e2
    | op(e0,e0) = e2
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_179]),c_0_39]),c_0_180]) ).

cnf(c_0_184,plain,
    ( op(e1,e0) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_185,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_183]),c_0_149]) ).

cnf(c_0_186,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_187,plain,
    op(e1,e1) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_188,plain,
    ( op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2
    | op(e3,e3) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_189,plain,
    ( op(e0,e0) = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_79]) ).

cnf(c_0_190,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_175,c_0_186]) ).

cnf(c_0_191,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_187,c_0_147]) ).

cnf(c_0_192,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_193,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_194,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_195,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_196,plain,
    ( unit = e0
    | unit = e1
    | op(e1,e1) != e2
    | op(e3,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_174]) ).

cnf(c_0_197,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_182]),c_0_191]) ).

cnf(c_0_198,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_199,plain,
    ( unit = e1
    | unit = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_194,c_0_132]) ).

cnf(c_0_200,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_201,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e1
    | unit = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_195,c_0_154]) ).

cnf(c_0_202,plain,
    ( op(e1,e1) = e0
    | unit = e1
    | unit = e0
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_203,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_131]) ).

cnf(c_0_204,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_205,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_206,plain,
    ( op(e1,e1) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_201,c_0_197]) ).

cnf(c_0_207,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_208,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_209,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | unit = e1
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_210,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_211,plain,
    ( op(e1,e3) = e0
    | op(e1,e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_206]),c_0_147]) ).

cnf(c_0_212,plain,
    ( op(e1,e1) = e0
    | op(e3,e3) = e0
    | unit = e1
    | unit = e0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_213,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_209,c_0_189]) ).

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

fof(c_0_215,plain,
    ( e2 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_216,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_217,plain,
    ( op(e3,e3) = e0
    | op(e1,e1) = e0
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).

cnf(c_0_218,plain,
    ( e2 != op(e1,op(e1,op(e1,e1)))
    | e3 != op(e1,op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_215]) ).

cnf(c_0_219,plain,
    ( op(e1,e1) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_211]) ).

cnf(c_0_220,plain,
    ( unit = e0
    | unit = e1
    | op(e1,op(e1,e0)) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_184]) ).

cnf(c_0_221,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_220,c_0_184]) ).

cnf(c_0_222,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_221,c_0_154]) ).

cnf(c_0_223,plain,
    ( op(e1,e3) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_222]),c_0_147]) ).

cnf(c_0_224,plain,
    ( unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_223]),c_0_219]) ).

cnf(c_0_225,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_226,plain,
    ( op(e1,e3) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_129,c_0_224]) ).

cnf(c_0_227,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_136,c_0_225]) ).

cnf(c_0_228,plain,
    ( op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_130,c_0_78]) ).

cnf(c_0_229,plain,
    ( op(e3,e1) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_224]) ).

cnf(c_0_230,plain,
    ( unit = e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_68,c_0_226]) ).

cnf(c_0_231,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_227,c_0_226]) ).

cnf(c_0_232,plain,
    ( op(e2,e1) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_224]) ).

cnf(c_0_233,plain,
    ( op(e0,e2) = e3
    | op(e2,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).

cnf(c_0_234,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_235,plain,
    ( e1 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).

cnf(c_0_236,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_231]),c_0_232]) ).

cnf(c_0_237,plain,
    ( op(e0,e2) = e3
    | unit = e0
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_173,c_0_233]) ).

cnf(c_0_238,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_239,plain,
    ( unit = e0
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_234,c_0_232]) ).

cnf(c_0_240,plain,
    ( e1 != op(e2,op(e2,op(e2,e2)))
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_235]) ).

cnf(c_0_241,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_236]) ).

cnf(c_0_242,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e0,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).

cnf(c_0_243,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_244,plain,
    ( op(e0,e2) = e3
    | unit = e0
    | op(e2,op(e2,e3)) != e1
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_240,c_0_233]) ).

cnf(c_0_245,plain,
    ( op(e0,e2) = e3
    | op(e2,e0) = e0
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_246,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_98,c_0_243]) ).

cnf(c_0_247,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_248,plain,
    ( op(e2,e0) = e0
    | op(e0,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_242]) ).

cnf(c_0_249,plain,
    ( op(e1,e0) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_224]) ).

cnf(c_0_250,plain,
    ( op(e0,e1) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_24,c_0_224]) ).

fof(c_0_251,plain,
    ( e1 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])]) ).

cnf(c_0_252,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_253,plain,
    ( op(e0,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_248]),c_0_249]) ).

cnf(c_0_254,plain,
    ( unit = e0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_93,c_0_250]) ).

cnf(c_0_255,plain,
    ( unit = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_210,c_0_226]) ).

cnf(c_0_256,plain,
    ( e1 != op(e0,op(e0,op(e0,e0)))
    | e3 != op(e0,op(e0,e0))
    | e2 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_251]) ).

cnf(c_0_257,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_67]),c_0_74]),c_0_79]),c_0_254]) ).

cnf(c_0_258,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_255,c_0_200]) ).

cnf(c_0_259,plain,
    ( op(e0,e0) = e1
    | unit = e0
    | op(e0,op(e0,e2)) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_253]) ).

cnf(c_0_260,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_261,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | unit = e0
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_204,c_0_258]) ).

cnf(c_0_262,plain,
    ( op(e0,e0) = e1
    | unit = e0
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_259,c_0_253]) ).

cnf(c_0_263,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_264,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_130,c_0_260]) ).

cnf(c_0_265,plain,
    ( op(e0,e0) = e1
    | op(e0,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_257]),c_0_262]) ).

cnf(c_0_266,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_97,c_0_263]) ).

cnf(c_0_267,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_268,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_229]) ).

cnf(c_0_269,plain,
    ( op(e1,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_224]) ).

cnf(c_0_270,plain,
    ( op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_271,plain,
    ( op(e0,e0) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_265]),c_0_250]) ).

cnf(c_0_272,plain,
    ( op(e1,e1) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_224]) ).

cnf(c_0_273,plain,
    op(e1,e2) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_274,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_266,c_0_253]) ).

cnf(c_0_275,plain,
    ( op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_192,c_0_267]) ).

cnf(c_0_276,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_268]),c_0_269]) ).

cnf(c_0_277,plain,
    op(e2,e2) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_278,plain,
    ( unit = e0
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).

cnf(c_0_279,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_269]) ).

cnf(c_0_280,plain,
    op(e2,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_281,plain,
    ( op(e3,e2) = e0
    | op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_282,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_136,c_0_109]) ).

cnf(c_0_283,plain,
    ( unit = e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_29,c_0_229]) ).

cnf(c_0_284,plain,
    ( op(e2,e3) = e0
    | unit = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_277,c_0_236]) ).

cnf(c_0_285,plain,
    ( op(e2,e2) = e0
    | unit = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_286,plain,
    ( op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1
    | unit = e0
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_287,plain,
    ( op(e2,e0) = e3
    | op(e2,e2) = e3
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_226]),c_0_283]) ).

fof(c_0_288,plain,
    ( e1 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])]) ).

cnf(c_0_289,plain,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_284,c_0_279]) ).

cnf(c_0_290,plain,
    ( op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_267]),c_0_286]) ).

cnf(c_0_291,plain,
    ( op(e2,e0) = e3
    | unit = e0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_97,c_0_287]) ).

cnf(c_0_292,plain,
    ( e1 != op(e2,op(e2,op(e2,e2)))
    | e3 != op(e2,op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_288]) ).

cnf(c_0_293,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e2) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_50]) ).

cnf(c_0_294,plain,
    ( op(e2,e0) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_253]) ).

cnf(c_0_295,plain,
    ( op(e1,e3) = e1
    | op(e0,e3) = e1
    | unit = e0
    | op(e2,op(e2,e0)) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]) ).

cnf(c_0_296,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_294]),c_0_290]) ).

cnf(c_0_297,plain,
    ( op(e0,e3) = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_296]),c_0_74]) ).

cnf(c_0_298,plain,
    unit = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_297]),c_0_271]) ).

cnf(c_0_299,plain,
    op(e1,e0) = e1,
    inference(rw,[status(thm)],[c_0_41,c_0_298]) ).

cnf(c_0_300,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_301,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_302,plain,
    op(e0,e2) = e2,
    inference(rw,[status(thm)],[c_0_31,c_0_298]) ).

cnf(c_0_303,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_25,c_0_298]) ).

fof(c_0_304,plain,
    ( e0 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).

cnf(c_0_305,plain,
    op(e0,e3) = e3,
    inference(rw,[status(thm)],[c_0_129,c_0_298]) ).

cnf(c_0_306,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_153,c_0_299]) ).

cnf(c_0_307,plain,
    ( op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_216,c_0_300]) ).

cnf(c_0_308,plain,
    op(e3,e0) = e3,
    inference(rw,[status(thm)],[c_0_105,c_0_298]) ).

cnf(c_0_309,plain,
    op(e3,e2) != e2,
    inference(rw,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_310,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_210,c_0_143]) ).

cnf(c_0_311,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_312,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_313,plain,
    op(e0,e1) = e1,
    inference(rw,[status(thm)],[c_0_23,c_0_298]) ).

cnf(c_0_314,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_315,plain,
    op(e2,e3) != e2,
    inference(rw,[status(thm)],[c_0_75,c_0_303]) ).

cnf(c_0_316,plain,
    ( e0 != op(e3,op(e3,op(e3,e3)))
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_304]) ).

cnf(c_0_317,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_305]),c_0_74]),c_0_306]) ).

cnf(c_0_318,plain,
    ( op(e3,e1) = e2
    | op(e1,e3) != e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_308]),c_0_79]),c_0_309]) ).

cnf(c_0_319,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_305])]),c_0_306]) ).

cnf(c_0_320,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_135,c_0_260]) ).

fof(c_0_321,plain,
    ( e0 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])]) ).

cnf(c_0_322,plain,
    ( op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_311,c_0_160]) ).

cnf(c_0_323,plain,
    op(e3,e1) != e1,
    inference(rw,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_324,plain,
    ( op(e3,e3) = e2
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_305]),c_0_79]),c_0_315]) ).

cnf(c_0_325,plain,
    ( op(e2,e3) = e1
    | op(e3,op(e3,e1)) != e0
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_326,plain,
    ( op(e1,e3) = e0
    | op(e3,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_327,plain,
    ( op(e2,e3) = e1
    | op(e3,e2) != e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_305]),c_0_74]),c_0_306]) ).

cnf(c_0_328,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_308])]),c_0_309]) ).

cnf(c_0_329,plain,
    op(e3,e1) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_330,plain,
    ( e0 != op(e3,op(e3,op(e3,e3)))
    | e1 != op(e3,op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_331,plain,
    ( op(e3,e2) = e1
    | op(e2,e3) != e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_308]),c_0_74]),c_0_323]) ).

cnf(c_0_332,plain,
    ( op(e2,e3) = e1
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_317]),c_0_39]) ).

cnf(c_0_333,plain,
    ( op(e1,e3) = e0
    | op(e2,e3) = e1
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_334,plain,
    ( op(e3,e2) = e0
    | op(e2,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_335,plain,
    ( op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_329,c_0_314]) ).

cnf(c_0_336,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_138,c_0_134]) ).

cnf(c_0_337,plain,
    ( op(e1,e3) = e2
    | op(e3,op(e3,e2)) != e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_330,c_0_324]) ).

cnf(c_0_338,plain,
    ( op(e1,e3) = e2
    | op(e3,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

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

cnf(c_0_340,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_194,c_0_109]) ).

cnf(c_0_341,plain,
    ( op(e2,e3) = e1
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_342,plain,
    ( op(e1,e3) = e2
    | op(e3,e1) != e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_305]),c_0_79]),c_0_315]) ).

cnf(c_0_343,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_308])]),c_0_323]) ).

cnf(c_0_344,plain,
    ( op(e1,e3) = e2
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_345,plain,
    ( e0 != op(e2,op(e2,op(e2,e2)))
    | e1 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_346,plain,
    ( op(e2,e1) = e3
    | op(e2,e2) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_305])]),c_0_303]),c_0_79]) ).

cnf(c_0_347,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_194,c_0_225]) ).

cnf(c_0_348,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_207,c_0_193]) ).

cnf(c_0_349,plain,
    ( op(e1,e3) = e0
    | op(e3,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_331,c_0_341]) ).

cnf(c_0_350,plain,
    op(e1,e3) = e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]) ).

cnf(c_0_351,plain,
    ( op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_210,c_0_168]) ).

cnf(c_0_352,plain,
    ( op(e2,e1) = e3
    | op(e2,op(e2,e3)) != e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_353,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_305])]),c_0_315]) ).

cnf(c_0_354,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_305])]) ).

cnf(c_0_355,plain,
    op(e3,e2) = e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_350]),c_0_36]) ).

cnf(c_0_356,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_351,c_0_200]) ).

cnf(c_0_357,plain,
    ( op(e2,e3) = e0
    | op(e2,e1) = e3
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_358,plain,
    op(e2,e3) = e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_350]),c_0_36]) ).

cnf(c_0_359,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_313]),c_0_50]) ).

cnf(c_0_360,plain,
    op(e3,e1) = e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_350]),c_0_36]) ).

cnf(c_0_361,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_362,plain,
    op(e0,e0) = e0,
    inference(rw,[status(thm)],[c_0_21,c_0_298]) ).

cnf(c_0_363,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_216,c_0_354]) ).

cnf(c_0_364,plain,
    op(e3,e3) != e1,
    inference(rw,[status(thm)],[c_0_192,c_0_355]) ).

cnf(c_0_365,plain,
    ( op(e2,e1) = e3
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_273,c_0_346]) ).

cnf(c_0_366,plain,
    ( op(e1,e2) = e3
    | op(e1,e1) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_305]),c_0_305]),c_0_305]),c_0_79]),c_0_74]),c_0_67]),c_0_299]),c_0_74]) ).

cnf(c_0_367,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) != e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_358]),c_0_50]) ).

cnf(c_0_368,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_36]) ).

cnf(c_0_369,plain,
    ( op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_362])]) ).

cnf(c_0_370,plain,
    op(e3,e3) = e0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_350])]),c_0_364]) ).

cnf(c_0_371,plain,
    ( op(e1,e1) = e3
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_365,c_0_366]) ).

cnf(c_0_372,plain,
    op(e1,e1) = e0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_67]) ).

cnf(c_0_373,plain,
    ( op(e1,e3) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_277,c_0_341]) ).

cnf(c_0_374,plain,
    ( op(e1,e1) != e0
    | op(e2,e2) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_370])]) ).

cnf(c_0_375,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_55,c_0_263]) ).

cnf(c_0_376,plain,
    op(e2,e1) = e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_372]),c_0_67]) ).

cnf(c_0_377,plain,
    op(e2,e2) != e2,
    inference(rw,[status(thm)],[c_0_97,c_0_302]) ).

cnf(c_0_378,plain,
    op(e2,e2) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_350]),c_0_36]) ).

cnf(c_0_379,plain,
    op(e2,e2) != e0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_372])]) ).

cnf(c_0_380,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_376])]),c_0_377]),c_0_378]),c_0_379]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : ALG046+1 : TPTP v8.2.0. Released v2.7.0.
% 0.14/0.16  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n011.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat May 18 22:51:08 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.23/0.52  Running first-order model finding
% 0.23/0.52  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/0.69  # Version: 3.1.0
% 1.05/0.69  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.05/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.05/0.69  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.05/0.69  # Starting new_bool_3 with 300s (1) cores
% 1.05/0.69  # Starting new_bool_1 with 300s (1) cores
% 1.05/0.69  # Starting sh5l with 300s (1) cores
% 1.05/0.69  # new_bool_1 with pid 24304 completed with status 8
% 1.05/0.69  # sh5l with pid 24305 completed with status 8
% 1.05/0.69  # new_bool_3 with pid 24303 completed with status 8
% 1.05/0.69  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24302 completed with status 0
% 1.05/0.69  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.05/0.69  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.05/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.05/0.69  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.05/0.69  # No SInE strategy applied
% 1.05/0.69  # Search class: FGHPF-FFLM22-MFFFFFNN
% 1.05/0.69  # partial match(1): FGHPF-FSLM22-MFFFFFNN
% 1.05/0.69  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.05/0.69  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1.05/0.69  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.05/0.69  # Starting new_bool_3 with 136s (1) cores
% 1.05/0.69  # Starting new_bool_1 with 136s (1) cores
% 1.05/0.69  # Starting sh5l with 136s (1) cores
% 1.05/0.69  # new_bool_3 with pid 24313 completed with status 0
% 1.05/0.69  # Result found by new_bool_3
% 1.05/0.69  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.05/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.05/0.69  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.05/0.69  # No SInE strategy applied
% 1.05/0.69  # Search class: FGHPF-FFLM22-MFFFFFNN
% 1.05/0.69  # partial match(1): FGHPF-FSLM22-MFFFFFNN
% 1.05/0.69  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.05/0.69  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1.05/0.69  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.05/0.69  # Starting new_bool_3 with 136s (1) cores
% 1.05/0.69  # Preprocessing time       : 0.002 s
% 1.05/0.69  # Presaturation interreduction done
% 1.05/0.69  
% 1.05/0.69  # Proof found!
% 1.05/0.69  # SZS status Unsatisfiable
% 1.05/0.69  # SZS output start CNFRefutation
% See solution above
% 1.05/0.69  # Parsed axioms                        : 30
% 1.05/0.69  # Removed by relevancy pruning/SinE    : 0
% 1.05/0.69  # Initial clauses                      : 139
% 1.05/0.69  # Removed in clause preprocessing      : 0
% 1.05/0.69  # Initial clauses in saturation        : 139
% 1.05/0.69  # Processed clauses                    : 2845
% 1.05/0.69  # ...of these trivial                  : 70
% 1.05/0.69  # ...subsumed                          : 1736
% 1.05/0.69  # ...remaining for further processing  : 1039
% 1.05/0.69  # Other redundant clauses eliminated   : 0
% 1.05/0.69  # Clauses deleted for lack of memory   : 0
% 1.05/0.69  # Backward-subsumed                    : 430
% 1.05/0.69  # Backward-rewritten                   : 401
% 1.05/0.69  # Generated clauses                    : 7370
% 1.05/0.69  # ...of the previous two non-redundant : 7109
% 1.05/0.69  # ...aggressively subsumed             : 0
% 1.05/0.69  # Contextual simplify-reflections      : 64
% 1.05/0.69  # Paramodulations                      : 7152
% 1.05/0.69  # Factorizations                       : 176
% 1.05/0.69  # NegExts                              : 0
% 1.05/0.69  # Equation resolutions                 : 0
% 1.05/0.69  # Disequality decompositions           : 0
% 1.05/0.69  # Total rewrite steps                  : 717
% 1.05/0.69  # ...of those cached                   : 701
% 1.05/0.69  # Propositional unsat checks           : 0
% 1.05/0.69  #    Propositional check models        : 0
% 1.05/0.69  #    Propositional check unsatisfiable : 0
% 1.05/0.69  #    Propositional clauses             : 0
% 1.05/0.69  #    Propositional clauses after purity: 0
% 1.05/0.69  #    Propositional unsat core size     : 0
% 1.05/0.69  #    Propositional preprocessing time  : 0.000
% 1.05/0.69  #    Propositional encoding time       : 0.000
% 1.05/0.69  #    Propositional solver time         : 0.000
% 1.05/0.69  #    Success case prop preproc time    : 0.000
% 1.05/0.69  #    Success case prop encoding time   : 0.000
% 1.05/0.69  #    Success case prop solver time     : 0.000
% 1.05/0.69  # Current number of processed clauses  : 27
% 1.05/0.69  #    Positive orientable unit clauses  : 16
% 1.05/0.69  #    Positive unorientable unit clauses: 0
% 1.05/0.69  #    Negative unit clauses             : 9
% 1.05/0.69  #    Non-unit-clauses                  : 2
% 1.05/0.69  # Current number of unprocessed clauses: 4071
% 1.05/0.69  # ...number of literals in the above   : 31742
% 1.05/0.69  # Current number of archived formulas  : 0
% 1.05/0.69  # Current number of archived clauses   : 1012
% 1.05/0.69  # Clause-clause subsumption calls (NU) : 16377
% 1.05/0.69  # Rec. Clause-clause subsumption calls : 2390
% 1.05/0.69  # Non-unit clause-clause subsumptions  : 828
% 1.05/0.69  # Unit Clause-clause subsumption calls : 833
% 1.05/0.69  # Rewrite failures with RHS unbound    : 0
% 1.05/0.69  # BW rewrite match attempts            : 16
% 1.05/0.69  # BW rewrite match successes           : 16
% 1.05/0.69  # Condensation attempts                : 0
% 1.05/0.69  # Condensation successes               : 0
% 1.05/0.69  # Termbank termtop insertions          : 107273
% 1.05/0.69  # Search garbage collected termcells   : 355
% 1.05/0.69  
% 1.05/0.69  # -------------------------------------------------
% 1.05/0.69  # User time                : 0.154 s
% 1.05/0.69  # System time              : 0.003 s
% 1.05/0.69  # Total time               : 0.157 s
% 1.05/0.69  # Maximum resident set size: 1952 pages
% 1.05/0.69  
% 1.05/0.69  # -------------------------------------------------
% 1.05/0.69  # User time                : 0.792 s
% 1.05/0.69  # System time              : 0.046 s
% 1.05/0.69  # Total time               : 0.838 s
% 1.05/0.69  # Maximum resident set size: 1752 pages
% 1.05/0.69  % E---3.1 exiting
%------------------------------------------------------------------------------