TSTP Solution File: RNG095+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 : Thu Aug 31 13:49:06 EDT 2023

% Result   : Theorem 2.21s 2.30s
% Output   : CNFRefutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   83 (  16 unt;  27 typ;   0 def)
%            Number of atoms       :  233 (  43 equ)
%            Maximal formula atoms :   52 (   4 avg)
%            Number of connectives :  306 ( 129   ~; 131   |;  32   &)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   44 (  21   >;  23   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;   6 con; 0-4 aty)
%            Number of variables   :  100 (   0 sgn;  47   !;   6   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    aElement0: $i > $o ).

tff(decl_23,type,
    sz00: $i ).

tff(decl_24,type,
    sz10: $i ).

tff(decl_25,type,
    smndt0: $i > $i ).

tff(decl_26,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(decl_27,type,
    sdtasdt0: ( $i * $i ) > $i ).

tff(decl_28,type,
    aSet0: $i > $o ).

tff(decl_29,type,
    aElementOf0: ( $i * $i ) > $o ).

tff(decl_30,type,
    sdtpldt1: ( $i * $i ) > $i ).

tff(decl_31,type,
    sdtasasdt0: ( $i * $i ) > $i ).

tff(decl_32,type,
    aIdeal0: $i > $o ).

tff(decl_33,type,
    sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).

tff(decl_34,type,
    xI: $i ).

tff(decl_35,type,
    xJ: $i ).

tff(decl_36,type,
    xx: $i ).

tff(decl_37,type,
    xy: $i ).

tff(decl_38,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_39,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_40,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_41,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_46,type,
    esk9_1: $i > $i ).

tff(decl_47,type,
    esk10_1: $i > $i ).

tff(decl_48,type,
    esk11_1: $i > $i ).

fof(m__,conjecture,
    ? [X1,X2] :
      ( aElementOf0(X1,xI)
      & aElementOf0(X2,xJ)
      & sdtpldt0(X1,X2) = sz10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(mDefSSum,axiom,
    ! [X1,X2] :
      ( ( aSet0(X1)
        & aSet0(X2) )
     => ! [X3] :
          ( X3 = sdtpldt1(X1,X2)
        <=> ( aSet0(X3)
            & ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ? [X5,X6] :
                    ( aElementOf0(X5,X1)
                    & aElementOf0(X6,X2)
                    & sdtpldt0(X5,X6) = X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).

fof(m__1205_03,hypothesis,
    ! [X1] :
      ( aElement0(X1)
     => aElementOf0(X1,sdtpldt1(xI,xJ)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).

fof(mDefIdeal,axiom,
    ! [X1] :
      ( aIdeal0(X1)
    <=> ( aSet0(X1)
        & ! [X2] :
            ( aElementOf0(X2,X1)
           => ( ! [X3] :
                  ( aElementOf0(X3,X1)
                 => aElementOf0(sdtpldt0(X2,X3),X1) )
              & ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

fof(mAddComm,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(mSortsB,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => aElement0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

fof(mSortsC_01,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

fof(m__1205,hypothesis,
    ( aIdeal0(xI)
    & aIdeal0(xJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(mAddZero,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

fof(mSortsC,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

fof(c_0_12,negated_conjecture,
    ~ ? [X1,X2] :
        ( aElementOf0(X1,xI)
        & aElementOf0(X2,xJ)
        & sdtpldt0(X1,X2) = sz10 ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_13,plain,
    ! [X38,X39,X40,X41,X44,X45,X46,X47,X49,X50] :
      ( ( aSet0(X40)
        | X40 != sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( aElementOf0(esk3_4(X38,X39,X40,X41),X38)
        | ~ aElementOf0(X41,X40)
        | X40 != sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( aElementOf0(esk4_4(X38,X39,X40,X41),X39)
        | ~ aElementOf0(X41,X40)
        | X40 != sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( sdtpldt0(esk3_4(X38,X39,X40,X41),esk4_4(X38,X39,X40,X41)) = X41
        | ~ aElementOf0(X41,X40)
        | X40 != sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( ~ aElementOf0(X45,X38)
        | ~ aElementOf0(X46,X39)
        | sdtpldt0(X45,X46) != X44
        | aElementOf0(X44,X40)
        | X40 != sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( ~ aElementOf0(esk5_3(X38,X39,X47),X47)
        | ~ aElementOf0(X49,X38)
        | ~ aElementOf0(X50,X39)
        | sdtpldt0(X49,X50) != esk5_3(X38,X39,X47)
        | ~ aSet0(X47)
        | X47 = sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( aElementOf0(esk6_3(X38,X39,X47),X38)
        | aElementOf0(esk5_3(X38,X39,X47),X47)
        | ~ aSet0(X47)
        | X47 = sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( aElementOf0(esk7_3(X38,X39,X47),X39)
        | aElementOf0(esk5_3(X38,X39,X47),X47)
        | ~ aSet0(X47)
        | X47 = sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) )
      & ( sdtpldt0(esk6_3(X38,X39,X47),esk7_3(X38,X39,X47)) = esk5_3(X38,X39,X47)
        | aElementOf0(esk5_3(X38,X39,X47),X47)
        | ~ aSet0(X47)
        | X47 = sdtpldt1(X38,X39)
        | ~ aSet0(X38)
        | ~ aSet0(X39) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSSum])])])])])]) ).

fof(c_0_14,hypothesis,
    ! [X75] :
      ( ~ aElement0(X75)
      | aElementOf0(X75,sdtpldt1(xI,xJ)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205_03])]) ).

fof(c_0_15,plain,
    ! [X60,X61,X62,X63,X64] :
      ( ( aSet0(X60)
        | ~ aIdeal0(X60) )
      & ( ~ aElementOf0(X62,X60)
        | aElementOf0(sdtpldt0(X61,X62),X60)
        | ~ aElementOf0(X61,X60)
        | ~ aIdeal0(X60) )
      & ( ~ aElement0(X63)
        | aElementOf0(sdtasdt0(X63,X61),X60)
        | ~ aElementOf0(X61,X60)
        | ~ aIdeal0(X60) )
      & ( aElementOf0(esk9_1(X64),X64)
        | ~ aSet0(X64)
        | aIdeal0(X64) )
      & ( aElement0(esk11_1(X64))
        | aElementOf0(esk10_1(X64),X64)
        | ~ aSet0(X64)
        | aIdeal0(X64) )
      & ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
        | aElementOf0(esk10_1(X64),X64)
        | ~ aSet0(X64)
        | aIdeal0(X64) )
      & ( aElement0(esk11_1(X64))
        | ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
        | ~ aSet0(X64)
        | aIdeal0(X64) )
      & ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
        | ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
        | ~ aSet0(X64)
        | aIdeal0(X64) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefIdeal])])])])])]) ).

fof(c_0_16,negated_conjecture,
    ! [X76,X77] :
      ( ~ aElementOf0(X76,xI)
      | ~ aElementOf0(X77,xJ)
      | sdtpldt0(X76,X77) != sz10 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

fof(c_0_17,plain,
    ! [X12,X13] :
      ( ~ aElement0(X12)
      | ~ aElement0(X13)
      | sdtpldt0(X12,X13) = sdtpldt0(X13,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).

fof(c_0_18,plain,
    ! [X14,X15,X16] :
      ( ~ aElement0(X14)
      | ~ aElement0(X15)
      | ~ aElement0(X16)
      | sdtpldt0(sdtpldt0(X14,X15),X16) = sdtpldt0(X14,sdtpldt0(X15,X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).

fof(c_0_19,plain,
    ! [X8,X9] :
      ( ~ aElement0(X8)
      | ~ aElement0(X9)
      | aElement0(sdtpldt0(X8,X9)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).

cnf(c_0_20,plain,
    ( aElementOf0(esk4_4(X1,X2,X3,X4),X2)
    | ~ aElementOf0(X4,X3)
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,hypothesis,
    ( aElementOf0(X1,sdtpldt1(xI,xJ))
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    aElement0(sz10),
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

cnf(c_0_23,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,hypothesis,
    aIdeal0(xJ),
    inference(split_conjunct,[status(thm)],[m__1205]) ).

cnf(c_0_25,hypothesis,
    aIdeal0(xI),
    inference(split_conjunct,[status(thm)],[m__1205]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ aElementOf0(X1,xI)
    | ~ aElementOf0(X2,xJ)
    | sdtpldt0(X1,X2) != sz10 ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_27,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_28,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aElement0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_30,plain,
    ! [X32,X33] :
      ( ~ aSet0(X32)
      | ~ aElementOf0(X33,X32)
      | aElement0(X33) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).

cnf(c_0_31,plain,
    ( aElementOf0(esk4_4(X1,X2,sdtpldt1(X1,X2),X3),X2)
    | ~ aElementOf0(X3,sdtpldt1(X1,X2))
    | ~ aSet0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_20]) ).

cnf(c_0_32,hypothesis,
    aElementOf0(sz10,sdtpldt1(xI,xJ)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_33,hypothesis,
    aSet0(xJ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_34,hypothesis,
    aSet0(xI),
    inference(spm,[status(thm)],[c_0_23,c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    ( sdtpldt0(X1,X2) != sz10
    | ~ aElementOf0(X1,xJ)
    | ~ aElementOf0(X2,xI)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_36,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_37,plain,
    ( aElement0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,hypothesis,
    aElementOf0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz10),xJ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).

cnf(c_0_39,plain,
    ( aElementOf0(esk3_4(X1,X2,X3,X4),X1)
    | ~ aElementOf0(X4,X3)
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_40,negated_conjecture,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) != sz10
    | ~ aElementOf0(sdtpldt0(X3,X1),xI)
    | ~ aElementOf0(X2,xJ)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aElement0(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29]) ).

cnf(c_0_41,hypothesis,
    aElement0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_33])]) ).

fof(c_0_42,plain,
    ! [X17] :
      ( ( sdtpldt0(X17,sz00) = X17
        | ~ aElement0(X17) )
      & ( X17 = sdtpldt0(sz00,X17)
        | ~ aElement0(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).

cnf(c_0_43,plain,
    ( aElementOf0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),X1)
    | ~ aElementOf0(X3,sdtpldt1(X1,X2))
    | ~ aSet0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_44,hypothesis,
    ( sdtpldt0(X1,sdtpldt0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz10),X2)) != sz10
    | ~ aElementOf0(sdtpldt0(X2,X1),xI)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_41])]) ).

cnf(c_0_45,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,plain,
    aElement0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_47,hypothesis,
    aElementOf0(esk3_4(xI,xJ,sdtpldt1(xI,xJ),sz10),xI),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_33]),c_0_34])]) ).

cnf(c_0_48,hypothesis,
    ( sdtpldt0(X1,sdtpldt0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz10),sz00)) != sz10
    | ~ aElementOf0(X1,xI)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).

cnf(c_0_49,hypothesis,
    aElement0(esk3_4(xI,xJ,sdtpldt1(xI,xJ),sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_47]),c_0_34])]) ).

cnf(c_0_50,plain,
    ( sdtpldt0(esk3_4(X1,X2,X3,X4),esk4_4(X1,X2,X3,X4)) = X4
    | ~ aElementOf0(X4,X3)
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_51,hypothesis,
    sdtpldt0(esk3_4(xI,xJ,sdtpldt1(xI,xJ),sz10),sdtpldt0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz10),sz00)) != sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_49])]) ).

cnf(c_0_52,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_53,plain,
    ( sdtpldt0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),esk4_4(X1,X2,sdtpldt1(X1,X2),X3)) = X3
    | ~ aElementOf0(X3,sdtpldt1(X1,X2))
    | ~ aSet0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_50]) ).

cnf(c_0_54,hypothesis,
    sdtpldt0(esk3_4(xI,xJ,sdtpldt1(xI,xJ),sz10),esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz10)) != sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_41])]) ).

cnf(c_0_55,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_32]),c_0_33]),c_0_34])]),c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.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    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 02:33:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.53  start to proof: theBenchmark
% 2.21/2.30  % Version  : CSE_E---1.5
% 2.21/2.30  % Problem  : theBenchmark.p
% 2.21/2.30  % Proof found
% 2.21/2.30  % SZS status Theorem for theBenchmark.p
% 2.21/2.30  % SZS output start Proof
% See solution above
% 2.21/2.30  % Total time : 1.754000 s
% 2.21/2.30  % SZS output end Proof
% 2.21/2.30  % Total time : 1.757000 s
%------------------------------------------------------------------------------