↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG061+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 20:26:45 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   74 (  35 unt;   0 def)
%            Number of atoms       :  190 (  73 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  201 (  85   ~;  74   |;  36   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :   47 (   1 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mMNeg,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
        & sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMNeg) ).

fof(m__1930,hypothesis,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1930) ).

fof(m__1837,hypothesis,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1837) ).

fof(m__1800,hypothesis,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1800) ).

fof(m__2180,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2180) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mArith) ).

fof(m__2144,hypothesis,
    ( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
    & sdtasdt0(smndt0(xS),xR) = smndt0(xN)
    & sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2144) ).

fof(mNegSc,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => aScalar0(smndt0(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNegSc) ).

fof(mMulSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulSc) ).

fof(mScZero,axiom,
    ! [X1] :
      ( aScalar0(X1)
     => ( sdtpldt0(X1,sz0z00) = X1
        & sdtpldt0(sz0z00,X1) = X1
        & sdtasdt0(X1,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,X1) = sz0z00
        & sdtpldt0(X1,smndt0(X1)) = sz0z00
        & sdtpldt0(smndt0(X1),X1) = sz0z00
        & smndt0(smndt0(X1)) = X1
        & smndt0(sz0z00) = sz0z00 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScZero) ).

fof(m__1892,hypothesis,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1892) ).

fof(m__1783,hypothesis,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1783) ).

fof(m__1854,hypothesis,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1854) ).

fof(m__1949,hypothesis,
    ( aScalar0(xN)
    & xN = sdtasdt0(xR,xS) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1949) ).

fof(mSumSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSumSc) ).

fof(c_0_16,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_17,plain,
    ! [X3,X4] :
      ( ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) )
      & ( sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4))
        | ~ aScalar0(X3)
        | ~ aScalar0(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).

fof(c_0_18,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    ( sdtasdt0(X2,smndt0(X1)) = smndt0(sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,hypothesis,
    xS = sdtasdt0(xF,xD),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_21,hypothesis,
    aScalar0(xF),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_22,hypothesis,
    aScalar0(xD),
    inference(split_conjunct,[status(thm)],[m__1800]) ).

cnf(c_0_23,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    inference(split_conjunct,[status(thm)],[m__2180]) ).

fof(c_0_25,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_26,plain,
    ( sdtasdt0(smndt0(X2),X1) = smndt0(sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,hypothesis,
    smndt0(xS) = sdtasdt0(xF,smndt0(xD)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).

cnf(c_0_28,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    ( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_31,hypothesis,
    sdtasdt0(xF,smndt0(xD)) = sdtasdt0(smndt0(xF),xD),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21]),c_0_22])]),c_0_27]) ).

fof(c_0_32,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | aScalar0(smndt0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).

fof(c_0_33,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | aScalar0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).

fof(c_0_34,plain,
    ! [X2] :
      ( ( sdtpldt0(X2,sz0z00) = X2
        | ~ aScalar0(X2) )
      & ( sdtpldt0(sz0z00,X2) = X2
        | ~ aScalar0(X2) )
      & ( sdtasdt0(X2,sz0z00) = sz0z00
        | ~ aScalar0(X2) )
      & ( sdtasdt0(sz0z00,X2) = sz0z00
        | ~ aScalar0(X2) )
      & ( sdtpldt0(X2,smndt0(X2)) = sz0z00
        | ~ aScalar0(X2) )
      & ( sdtpldt0(smndt0(X2),X2) = sz0z00
        | ~ aScalar0(X2) )
      & ( smndt0(smndt0(X2)) = X2
        | ~ aScalar0(X2) )
      & ( smndt0(sz0z00) = sz0z00
        | ~ aScalar0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).

cnf(c_0_35,hypothesis,
    xR = sdtasdt0(xC,xG),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_36,hypothesis,
    aScalar0(xC),
    inference(split_conjunct,[status(thm)],[m__1783]) ).

cnf(c_0_37,hypothesis,
    aScalar0(xG),
    inference(split_conjunct,[status(thm)],[m__1854]) ).

cnf(c_0_38,negated_conjecture,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) != sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))))
    | ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtasdt0(xR,xR))
    | ~ aScalar0(smndt0(xN)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_39,hypothesis,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_40,hypothesis,
    smndt0(xN) = sdtasdt0(sdtasdt0(smndt0(xF),xD),xR),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_27]),c_0_31]) ).

cnf(c_0_41,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,hypothesis,
    smndt0(xR) = sdtasdt0(xC,smndt0(xG)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_35]),c_0_36]),c_0_37])]) ).

cnf(c_0_45,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_46,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) != sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))))
    | ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))
    | ~ aScalar0(sdtasdt0(xR,xR))
    | ~ aScalar0(smndt0(xN)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_29]) ).

cnf(c_0_47,hypothesis,
    sdtasdt0(sdtasdt0(smndt0(xF),xD),xR) = sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_27]),c_0_40]),c_0_31]) ).

cnf(c_0_48,plain,
    ( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_49,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_42]) ).

cnf(c_0_50,hypothesis,
    smndt0(sdtasdt0(xC,smndt0(xG))) = xR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_51,hypothesis,
    aScalar0(sdtasdt0(xC,smndt0(xG))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_44]),c_0_45])]) ).

cnf(c_0_52,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))) != sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD))))
    | ~ aScalar0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_40]),c_0_40]),c_0_40]),c_0_40]),c_0_40]),c_0_40]),c_0_40]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]) ).

cnf(c_0_53,hypothesis,
    ( sdtasdt0(xR,X1) = sdtasdt0(xC,sdtasdt0(xG,X1))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_35]),c_0_36]),c_0_37])]) ).

cnf(c_0_54,hypothesis,
    ( aScalar0(sdtasdt0(X1,xR))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_55,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xC,sdtasdt0(xG,xR)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))) != sdtpldt0(sdtasdt0(xC,sdtasdt0(xG,xR)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD))))
    | ~ aScalar0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))
    | ~ aScalar0(sdtasdt0(xC,sdtasdt0(xG,xR))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_45])]) ).

cnf(c_0_56,hypothesis,
    aScalar0(sdtasdt0(xC,sdtasdt0(xG,xR))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_45])]) ).

cnf(c_0_57,hypothesis,
    smndt0(xN) = sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),
    inference(rw,[status(thm)],[c_0_40,c_0_47]) ).

cnf(c_0_58,hypothesis,
    aScalar0(xN),
    inference(split_conjunct,[status(thm)],[m__1949]) ).

cnf(c_0_59,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    inference(split_conjunct,[status(thm)],[m__2144]) ).

cnf(c_0_60,hypothesis,
    smndt0(xS) = sdtasdt0(smndt0(xF),xD),
    inference(rw,[status(thm)],[c_0_27,c_0_31]) ).

cnf(c_0_61,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_62,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xC,sdtasdt0(xG,xR)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))) != sdtpldt0(sdtasdt0(xC,sdtasdt0(xG,xR)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD))))
    | ~ aScalar0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).

cnf(c_0_63,hypothesis,
    aScalar0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_57]),c_0_58])]) ).

cnf(c_0_64,plain,
    ( sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_65,hypothesis,
    sdtasdt0(sdtasdt0(smndt0(xF),xD),sdtasdt0(smndt0(xF),xD)) = sdtasdt0(xS,xS),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_27]),c_0_27]),c_0_31]),c_0_31]) ).

cnf(c_0_66,hypothesis,
    aScalar0(sdtasdt0(smndt0(xF),xD)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_60]),c_0_61])]) ).

cnf(c_0_67,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xC,sdtasdt0(xG,xR)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))) != sdtpldt0(sdtasdt0(xC,sdtasdt0(xG,xR)),sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).

cnf(c_0_68,hypothesis,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_58]) ).

cnf(c_0_69,hypothesis,
    aScalar0(sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_65]),c_0_66])]) ).

fof(c_0_70,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_71,negated_conjecture,
    ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xR,sdtasdt0(smndt0(xF),xD)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_63]),c_0_69])]) ).

cnf(c_0_72,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_63]),c_0_69])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG061+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 10:56:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42  # Preprocessing time       : 0.018 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.42  # Proof object total steps             : 74
% 0.25/1.42  # Proof object clause steps            : 50
% 0.25/1.42  # Proof object formula steps           : 24
% 0.25/1.42  # Proof object conjectures             : 13
% 0.25/1.42  # Proof object clause conjectures      : 10
% 0.25/1.42  # Proof object formula conjectures     : 3
% 0.25/1.42  # Proof object initial clauses used    : 23
% 0.25/1.42  # Proof object initial formulas used   : 16
% 0.25/1.42  # Proof object generating inferences   : 18
% 0.25/1.42  # Proof object simplifying inferences  : 66
% 0.25/1.42  # Training examples: 0 positive, 0 negative
% 0.25/1.42  # Parsed axioms                        : 60
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.42  # Initial clauses                      : 96
% 0.25/1.42  # Removed in clause preprocessing      : 5
% 0.25/1.42  # Initial clauses in saturation        : 91
% 0.25/1.42  # Processed clauses                    : 1481
% 0.25/1.42  # ...of these trivial                  : 283
% 0.25/1.42  # ...subsumed                          : 220
% 0.25/1.42  # ...remaining for further processing  : 978
% 0.25/1.42  # Other redundant clauses eliminated   : 1
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 22
% 0.25/1.42  # Backward-rewritten                   : 190
% 0.25/1.42  # Generated clauses                    : 20889
% 0.25/1.42  # ...of the previous two non-trivial   : 18640
% 0.25/1.42  # Contextual simplify-reflections      : 43
% 0.25/1.42  # Paramodulations                      : 20881
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 8
% 0.25/1.42  # Current number of processed clauses  : 766
% 0.25/1.42  #    Positive orientable unit clauses  : 544
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 14
% 0.25/1.42  #    Non-unit-clauses                  : 208
% 0.25/1.42  # Current number of unprocessed clauses: 13579
% 0.25/1.42  # ...number of literals in the above   : 46121
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 212
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 42087
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 15430
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 275
% 0.25/1.42  # Unit Clause-clause subsumption calls : 5000
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 823
% 0.25/1.42  # BW rewrite match successes           : 77
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 604282
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.409 s
% 0.25/1.42  # System time              : 0.006 s
% 0.25/1.42  # Total time               : 0.415 s
% 0.25/1.42  # Maximum resident set size: 18772 pages
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------