TSTP Solution File: RNG078+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG078+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 20:26:50 EDT 2022

% Result   : Theorem 1.36s 189.54s
% Output   : CNFRefutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   73 (  37 unt;   0 def)
%            Number of atoms       :  154 (  41 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  149 (  68   ~;  56   |;  22   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  16 con; 0-2 aty)
%            Number of variables   :   37 (   1 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(mArith,axiom,
    ! [X1,X2,X3] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
        & sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
        & sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
        & sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mArith) ).

fof(m__1892,hypothesis,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1892) ).

fof(m__1911,hypothesis,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1911) ).

fof(m__1930,hypothesis,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1930) ).

fof(m__2835,hypothesis,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2835) ).

fof(m__1949,hypothesis,
    ( aScalar0(xN)
    & xN = sdtasdt0(xR,xS) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1949) ).

fof(mMulSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mMulSc) ).

fof(m__1820,hypothesis,
    ( aScalar0(xE)
    & xE = sdtasasdt0(xp,xq) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1820) ).

fof(m__1873,hypothesis,
    ( aScalar0(xH)
    & xH = sdtasdt0(xA,xB) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1873) ).

fof(m__1746,hypothesis,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1746) ).

fof(m__1766,hypothesis,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1766) ).

fof(m__1837,hypothesis,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1837) ).

fof(m__1854,hypothesis,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1854) ).

fof(m__2796,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__2796) ).

fof(mSumSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSumSc) ).

fof(m__1800,hypothesis,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1800) ).

fof(m__1783,hypothesis,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1783) ).

fof(c_0_18,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_19,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6] :
      ( ( sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6))
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) )
      & ( sdtpldt0(X4,X5) = sdtpldt0(X5,X4)
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) )
      & ( sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6))
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) )
      & ( sdtasdt0(X4,X5) = sdtasdt0(X5,X4)
        | ~ aScalar0(X4)
        | ~ aScalar0(X5)
        | ~ aScalar0(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).

cnf(c_0_21,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_23,hypothesis,
    xP = sdtasdt0(xE,xH),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_24,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_25,hypothesis,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    inference(split_conjunct,[status(thm)],[m__2835]) ).

cnf(c_0_26,plain,
    ( sdtasdt0(X3,X2) = sdtasdt0(X2,X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

fof(c_0_28,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | aScalar0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).

cnf(c_0_29,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).

cnf(c_0_30,plain,
    ( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,hypothesis,
    sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
    inference(rw,[status(thm)],[c_0_25,c_0_23]) ).

cnf(c_0_32,hypothesis,
    aScalar0(xP),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_33,hypothesis,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(pm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_34,hypothesis,
    aScalar0(xE),
    inference(split_conjunct,[status(thm)],[m__1820]) ).

cnf(c_0_35,hypothesis,
    aScalar0(xH),
    inference(split_conjunct,[status(thm)],[m__1873]) ).

cnf(c_0_36,plain,
    ( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_37,hypothesis,
    xH = sdtasdt0(xA,xB),
    inference(split_conjunct,[status(thm)],[m__1873]) ).

cnf(c_0_38,hypothesis,
    aScalar0(xA),
    inference(split_conjunct,[status(thm)],[m__1746]) ).

cnf(c_0_39,hypothesis,
    aScalar0(xB),
    inference(split_conjunct,[status(thm)],[m__1766]) ).

cnf(c_0_40,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG))))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_42,hypothesis,
    sdtasdt0(xH,xE) = xP,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_23,c_0_33]),c_0_34]),c_0_35])]) ).

cnf(c_0_43,hypothesis,
    xF = sdtasdt0(xA,xA),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_44,hypothesis,
    ( sdtasdt0(xA,sdtasdt0(xB,X1)) = sdtasdt0(xH,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).

cnf(c_0_45,hypothesis,
    xG = sdtasdt0(xB,xB),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_46,plain,
    ( aScalar0(sdtasdt0(X1,sdtasdt0(X2,X3)))
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_40,c_0_36]),c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG))))
    | ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,hypothesis,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
    inference(rw,[status(thm)],[c_0_31,c_0_42]) ).

cnf(c_0_49,hypothesis,
    ( sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_43]),c_0_38])]) ).

cnf(c_0_50,hypothesis,
    sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_45]),c_0_39])]) ).

cnf(c_0_51,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_52,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(split_conjunct,[status(thm)],[m__2796]) ).

cnf(c_0_53,hypothesis,
    ( aScalar0(sdtasdt0(X1,sdtasdt0(xH,X2)))
    | ~ aScalar0(sdtasdt0(xB,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_44]),c_0_38])]) ).

cnf(c_0_54,hypothesis,
    ( sdtasdt0(xA,sdtasdt0(X1,xB)) = sdtasdt0(xH,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_33]),c_0_39])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG))))
    | ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(rw,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_56,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_57,hypothesis,
    sdtasdt0(xA,sdtasdt0(xH,xB)) = sdtasdt0(xF,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_58,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(rw,[status(thm)],[c_0_52,c_0_48]) ).

cnf(c_0_59,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_60,hypothesis,
    aScalar0(sdtasdt0(xH,xH)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_54]),c_0_45]),c_0_51]),c_0_38]),c_0_39]),c_0_35])]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xF,xG)))))
    | ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(xS,sdtasdt0(xF,xG)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_30]),c_0_56])]) ).

cnf(c_0_62,hypothesis,
    sdtasdt0(xF,xG) = sdtasdt0(xH,xH),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_57]),c_0_35])]) ).

cnf(c_0_63,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_30]),c_0_56]),c_0_59])]),c_0_60])]) ).

fof(c_0_64,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | aScalar0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(xS,sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_62])]) ).

cnf(c_0_66,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_65,c_0_66]),c_0_60]),c_0_59])]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_66]),c_0_60]),c_0_32])]) ).

cnf(c_0_69,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_70,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_71,negated_conjecture,
    ~ aScalar0(sdtasdt0(xE,xE)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_68,c_0_40]),c_0_69]),c_0_70])]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_40]),c_0_34])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG078+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon May 30 07:17:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.36/23.41  eprover: CPU time limit exceeded, terminating
% 0.36/23.41  eprover: CPU time limit exceeded, terminating
% 0.36/23.41  eprover: CPU time limit exceeded, terminating
% 0.36/23.42  eprover: CPU time limit exceeded, terminating
% 0.50/46.42  eprover: CPU time limit exceeded, terminating
% 0.50/46.43  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.50/46.43  
% 0.50/46.43  eprover: CPU time limit exceeded, terminating
% 0.63/69.44  eprover: CPU time limit exceeded, terminating
% 0.63/69.44  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.63/69.44  
% 0.63/69.45  eprover: CPU time limit exceeded, terminating
% 0.78/92.46  eprover: CPU time limit exceeded, terminating
% 0.78/92.46  eprover: CPU time limit exceeded, terminating
% 0.78/92.46  eprover: CPU time limit exceeded, terminating
% 0.78/92.46  eprover: CPU time limit exceeded, terminating
% 0.92/115.48  eprover: CPU time limit exceeded, terminating
% 0.92/115.48  eprover: CPU time limit exceeded, terminating
% 0.92/115.52  eprover: CPU time limit exceeded, terminating
% 0.99/127.24  eprover: CPU time limit exceeded, terminating
% 1.07/138.49  eprover: CPU time limit exceeded, terminating
% 1.07/138.50  eprover: CPU time limit exceeded, terminating
% 1.07/138.54  eprover: CPU time limit exceeded, terminating
% 1.13/150.26  eprover: CPU time limit exceeded, terminating
% 1.20/161.51  eprover: CPU time limit exceeded, terminating
% 1.20/161.51  eprover: CPU time limit exceeded, terminating
% 1.20/161.55  eprover: CPU time limit exceeded, terminating
% 1.27/173.27  eprover: CPU time limit exceeded, terminating
% 1.33/184.53  eprover: CPU time limit exceeded, terminating
% 1.33/184.54  eprover: CPU time limit exceeded, terminating
% 1.33/184.56  eprover: CPU time limit exceeded, terminating
% 1.36/189.54  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # Preprocessing time       : 0.030 s
% 1.36/189.54  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.36/189.54  # Preprocessing time       : 0.009 s
% 1.36/189.54  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # Preprocessing time       : 0.009 s
% 1.36/189.54  # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # Preprocessing time       : 0.009 s
% 1.36/189.54  # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.36/189.54  # Preprocessing time       : 0.018 s
% 1.36/189.54  # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # Preprocessing time       : 0.018 s
% 1.36/189.54  # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.36/189.54  # Preprocessing time       : 0.010 s
% 1.36/189.54  # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 1.36/189.54  
% 1.36/189.54  # Failure: Resource limit exceeded (time)
% 1.36/189.54  # OLD status Res
% 1.36/189.54  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 1.36/189.54  # Preprocessing time       : 0.016 s
% 1.36/189.54  # Running protocol protocol_eprover_6c6e328223588bd61ac14315e52cd57432d78a40 for 23 seconds:
% 1.36/189.54  # SinE strategy is GSinE(CountFormulas,hypos,1.2,,04,20000,1.0)
% 1.36/189.54  # Preprocessing time       : 0.018 s
% 1.36/189.54  
% 1.36/189.54  # Proof found!
% 1.36/189.54  # SZS status Theorem
% 1.36/189.54  # SZS output start CNFRefutation
% See solution above
% 1.36/189.54  # Proof object total steps             : 73
% 1.36/189.54  # Proof object clause steps            : 50
% 1.36/189.54  # Proof object formula steps           : 23
% 1.36/189.54  # Proof object conjectures             : 14
% 1.36/189.54  # Proof object clause conjectures      : 11
% 1.36/189.54  # Proof object formula conjectures     : 3
% 1.36/189.54  # Proof object initial clauses used    : 25
% 1.36/189.54  # Proof object initial formulas used   : 18
% 1.36/189.54  # Proof object generating inferences   : 18
% 1.36/189.54  # Proof object simplifying inferences  : 58
% 1.36/189.54  # Training examples: 0 positive, 0 negative
% 1.36/189.54  # Parsed axioms                        : 60
% 1.36/189.54  # Removed by relevancy pruning/SinE    : 4
% 1.36/189.54  # Initial clauses                      : 82
% 1.36/189.54  # Removed in clause preprocessing      : 5
% 1.36/189.54  # Initial clauses in saturation        : 77
% 1.36/189.54  # Processed clauses                    : 6699
% 1.36/189.54  # ...of these trivial                  : 58
% 1.36/189.54  # ...subsumed                          : 3809
% 1.36/189.54  # ...remaining for further processing  : 2832
% 1.36/189.54  # Other redundant clauses eliminated   : 1
% 1.36/189.54  # Clauses deleted for lack of memory   : 56727
% 1.36/189.54  # Backward-subsumed                    : 269
% 1.36/189.54  # Backward-rewritten                   : 302
% 1.36/189.54  # Generated clauses                    : 169586
% 1.36/189.54  # ...of the previous two non-trivial   : 168147
% 1.36/189.54  # Contextual simplify-reflections      : 6416
% 1.36/189.54  # Paramodulations                      : 169573
% 1.36/189.54  # Factorizations                       : 0
% 1.36/189.54  # Equation resolutions                 : 13
% 1.36/189.54  # Current number of processed clauses  : 2261
% 1.36/189.54  #    Positive orientable unit clauses  : 148
% 1.36/189.54  #    Positive unorientable unit clauses: 0
% 1.36/189.54  #    Negative unit clauses             : 176
% 1.36/189.54  #    Non-unit-clauses                  : 1937
% 1.36/189.54  # Current number of unprocessed clauses: 97084
% 1.36/189.54  # ...number of literals in the above   : 593301
% 1.36/189.54  # Current number of archived formulas  : 0
% 1.36/189.54  # Current number of archived clauses   : 571
% 1.36/189.54  # Clause-clause subsumption calls (NU) : 5075372
% 1.36/189.54  # Rec. Clause-clause subsumption calls : 214720
% 1.36/189.54  # Non-unit clause-clause subsumptions  : 9488
% 1.36/189.54  # Unit Clause-clause subsumption calls : 25961
% 1.36/189.54  # Rewrite failures with RHS unbound    : 0
% 1.36/189.54  # BW rewrite match attempts            : 36
% 1.36/189.54  # BW rewrite match successes           : 16
% 1.36/189.54  # Condensation attempts                : 0
% 1.36/189.54  # Condensation successes               : 0
% 1.36/189.54  # Termbank termtop insertions          : 3540800
% 1.36/189.54  
% 1.36/189.54  # -------------------------------------------------
% 1.36/189.54  # User time                : 4.584 s
% 1.36/189.54  # System time              : 0.095 s
% 1.36/189.54  # Total time               : 4.679 s
% 1.36/189.54  # Maximum resident set size: 136280 pages
% 1.36/196.29  eprover: CPU time limit exceeded, terminating
% 1.36/196.30  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.36/196.30  eprover: No such file or directory
% 1.36/196.31  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.36/196.31  eprover: No such file or directory
% 1.36/196.31  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.36/196.31  eprover: No such file or directory
% 1.36/207.54  eprover: CPU time limit exceeded, terminating
% 1.36/207.55  eprover: CPU time limit exceeded, terminating
% 1.36/207.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.36/207.56  eprover: No such file or directory
% 1.36/207.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.36/207.57  eprover: No such file or directory
% 1.36/207.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.36/207.57  eprover: No such file or directory
% 1.36/207.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.36/207.57  eprover: No such file or directory
% 1.36/207.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.36/207.57  eprover: No such file or directory
% 1.36/207.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.36/207.58  eprover: No such file or directory
%------------------------------------------------------------------------------