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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : RNG083+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n016.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 : Tue May  5 05:05:16 PM UTC 2026

% Result   : Theorem 28.24s 17.25s
% Output   : CNFRefutation 28.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   75 (  15 unt;   0 def)
%            Number of atoms       :  196 (  70 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  214 (  93   ~;  89   |;  21   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   97 (   0 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mMulAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aElement0(X1)
        & aElement0(X2)
        & aElement0(X3) )
     => sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).

fof(mMulUnit,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtasdt0(X1,sz10) = X1
        & X1 = sdtasdt0(sz10,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).

fof(mSortsC_01,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => aElement0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(mAMDistr,axiom,
    ! [X1,X2,X3] :
      ( ( aElement0(X1)
        & aElement0(X2)
        & aElement0(X3) )
     => ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
        & sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

fof(mMulMnOne,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
        & smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).

fof(mAddZero,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).

fof(mAddInvr,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtpldt0(X1,smndt0(X1)) = sz00
        & sz00 = sdtpldt0(smndt0(X1),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).

fof(mSortsU,axiom,
    ! [X1] :
      ( aElement0(X1)
     => aElement0(smndt0(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).

fof(mSortsC,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(mAddAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aElement0(X1)
        & aElement0(X2)
        & aElement0(X3) )
     => sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

fof(mAddComm,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

fof(m__,conjecture,
    ( sdtasdt0(xx,sz00) = sz00
    & sz00 = sdtasdt0(sz00,xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m__468,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__468) ).

fof(c_0_15,plain,
    ! [X41,X42,X43] :
      ( ~ aElement0(X41)
      | ~ aElement0(X42)
      | ~ aElement0(X43)
      | sdtasdt0(sdtasdt0(X41,X42),X43) = sdtasdt0(X41,sdtasdt0(X42,X43)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).

fof(c_0_16,plain,
    ! [X44] :
      ( ( sdtasdt0(X44,sz10) = X44
        | ~ aElement0(X44) )
      & ( X44 = sdtasdt0(sz10,X44)
        | ~ aElement0(X44) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).

cnf(c_0_17,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aElement0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    aElement0(sz10),
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

fof(c_0_20,plain,
    ! [X39,X40] :
      ( ~ aElement0(X39)
      | ~ aElement0(X40)
      | sdtasdt0(X39,X40) = sdtasdt0(X40,X39) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

fof(c_0_21,plain,
    ! [X30,X31] :
      ( ~ aElement0(X30)
      | ~ aElement0(X31)
      | aElement0(sdtasdt0(X30,X31)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).

cnf(c_0_22,plain,
    ( X1 = sdtasdt0(sz10,X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( sdtasdt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_24,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    ( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_22]),c_0_19])]) ).

cnf(c_0_27,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19])]) ).

cnf(c_0_28,plain,
    ( aElement0(sdtasdt0(X1,sdtasdt0(X2,X3)))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_25]) ).

cnf(c_0_29,plain,
    ( sdtasdt0(sz10,X1) = sdtasdt0(X1,sz10)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_19])]) ).

fof(c_0_30,plain,
    ! [X45,X46,X47] :
      ( ( sdtasdt0(X45,sdtpldt0(X46,X47)) = sdtpldt0(sdtasdt0(X45,X46),sdtasdt0(X45,X47))
        | ~ aElement0(X45)
        | ~ aElement0(X46)
        | ~ aElement0(X47) )
      & ( sdtasdt0(sdtpldt0(X46,X47),X45) = sdtpldt0(sdtasdt0(X46,X45),sdtasdt0(X47,X45))
        | ~ aElement0(X45)
        | ~ aElement0(X46)
        | ~ aElement0(X47) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).

cnf(c_0_31,plain,
    ( aElement0(sdtasdt0(X1,sdtasdt0(X2,sz10)))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_19])]) ).

cnf(c_0_32,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_17]),c_0_25]) ).

fof(c_0_33,plain,
    ! [X48] :
      ( ( sdtasdt0(smndt0(sz10),X48) = smndt0(X48)
        | ~ aElement0(X48) )
      & ( smndt0(X48) = sdtasdt0(X48,smndt0(sz10))
        | ~ aElement0(X48) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).

cnf(c_0_34,plain,
    ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aElement0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_35,plain,
    ! [X37] :
      ( ( sdtpldt0(X37,sz00) = X37
        | ~ aElement0(X37) )
      & ( X37 = sdtpldt0(sz00,X37)
        | ~ aElement0(X37) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).

fof(c_0_36,plain,
    ! [X38] :
      ( ( sdtpldt0(X38,smndt0(X38)) = sz00
        | ~ aElement0(X38) )
      & ( sz00 = sdtpldt0(smndt0(X38),X38)
        | ~ aElement0(X38) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).

cnf(c_0_37,plain,
    ( aElement0(sdtasdt0(sz10,sdtasdt0(X1,X2)))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_19])]) ).

cnf(c_0_38,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_39,plain,
    ! [X27] :
      ( ~ aElement0(X27)
      | aElement0(smndt0(X27)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).

cnf(c_0_40,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_19])]) ).

cnf(c_0_41,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,plain,
    aElement0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_43,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,plain,
    ( sz00 = sdtpldt0(smndt0(X1),X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_45,plain,
    ( aElement0(sdtasdt0(sz10,smndt0(X1)))
    | ~ aElement0(smndt0(sz10))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_46,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_47,plain,
    ! [X34,X35,X36] :
      ( ~ aElement0(X34)
      | ~ aElement0(X35)
      | ~ aElement0(X36)
      | sdtpldt0(sdtpldt0(X34,X35),X36) = sdtpldt0(X34,sdtpldt0(X35,X36)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).

fof(c_0_48,plain,
    ! [X32,X33] :
      ( ~ aElement0(X32)
      | ~ aElement0(X33)
      | sdtpldt0(X32,X33) = sdtpldt0(X33,X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).

cnf(c_0_49,plain,
    ( sdtpldt0(sdtasdt0(X1,sz00),X1) = sdtasdt0(X1,sz10)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_19])]) ).

cnf(c_0_50,plain,
    sdtasdt0(sz10,sz10) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_29]),c_0_19])]) ).

cnf(c_0_51,plain,
    ( smndt0(sz00) = sz00
    | ~ aElement0(smndt0(sz00)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_42])]) ).

cnf(c_0_52,plain,
    ( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_53,plain,
    ( aElement0(sdtasdt0(sz10,smndt0(X1)))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_19])]) ).

cnf(c_0_54,plain,
    ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_55,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aElement0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,plain,
    sdtpldt0(sz00,sz10) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_22]),c_0_50]),c_0_19]),c_0_42])]) ).

cnf(c_0_58,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_42])]) ).

cnf(c_0_59,plain,
    ( sdtpldt0(smndt0(X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(smndt0(sz10),X2),X1)
    | ~ aElement0(smndt0(sz10))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_38]) ).

cnf(c_0_60,plain,
    aElement0(smndt0(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_19])]) ).

cnf(c_0_61,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_44]),c_0_46]) ).

cnf(c_0_62,plain,
    sdtpldt0(sz10,sz00) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_19]),c_0_42])]) ).

cnf(c_0_63,plain,
    sdtpldt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_58]),c_0_42])]) ).

fof(c_0_64,negated_conjecture,
    ~ ( sdtasdt0(xx,sz00) = sz00
      & sz00 = sdtasdt0(sz00,xx) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_65,plain,
    ( sdtpldt0(smndt0(X1),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(smndt0(sz10),X2),X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).

cnf(c_0_66,plain,
    sdtpldt0(smndt0(sz10),sz10) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_42]),c_0_19])]) ).

fof(c_0_67,negated_conjecture,
    ( sdtasdt0(xx,sz00) != sz00
    | sz00 != sdtasdt0(sz00,xx) ),
    inference(fof_nnf,[status(thm)],[c_0_64]) ).

cnf(c_0_68,plain,
    ( sdtpldt0(smndt0(X1),X1) = sdtasdt0(sz00,X1)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_22]),c_0_66]),c_0_19])]) ).

cnf(c_0_69,negated_conjecture,
    ( sdtasdt0(xx,sz00) != sz00
    | sz00 != sdtasdt0(sz00,xx) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_70,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_68]) ).

cnf(c_0_71,hypothesis,
    aElement0(xx),
    inference(split_conjunct,[status(thm)],[m__468]) ).

cnf(c_0_72,negated_conjecture,
    sdtasdt0(xx,sz00) != sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_73,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_70]),c_0_42])]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_71])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG083+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n016.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 01:50:51 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 28.24/17.25  % Version  : CSE_E---1.7
% 28.24/17.25  % Problem  : theBenchmark.p
% 28.24/17.25  % SZS status Theorem for theBenchmark.p
% 28.24/17.25  % SZS output start CNFRefutation
% See solution above
% 28.34/17.38  % Total time : 12.393s
%------------------------------------------------------------------------------