↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM542+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:49:30 PM UTC 2026

% Result   : Theorem 0.17s 5.59s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   60 (   6 unt;   0 def)
%            Number of atoms       :  229 (  22 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  298 ( 129   ~; 128   |;  23   &)
%                                         (   5 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   84 (   0 sgn  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mSuccNum,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( szszuzczcdt0(X1) != sz00
        & aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).

fof(mNatNSucc,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => X1 != szszuzczcdt0(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).

fof(m__,conjecture,
    ( sdtlseqdt0(xm,xn)
  <=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(mLessASymm,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X2,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( ( sdtlseqdt0(X2,X1)
          & sdtlseqdt0(X1,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).

fof(mLessSucc,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).

fof(mDefSeg,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ! [X2] :
          ( X2 = slbdtrb0(X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sdtlseqdt0(szszuzczcdt0(X3),X1)
                  & aElementOf0(X3,szNzAzT0) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(m__1964,hypothesis,
    ( aElementOf0(xn,szNzAzT0)
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1964) ).

fof(mLessTotal,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X2,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( sdtlseqdt0(szszuzczcdt0(X2),X1)
        | sdtlseqdt0(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).

fof(mLessTrans,axiom,
    ! [X1,X2,X3] :
      ( ( aElementOf0(X3,szNzAzT0)
        & aElementOf0(X2,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(X1,X2) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).

fof(c_0_10,plain,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( szszuzczcdt0(X1) != sz00
        & aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
    inference(fof_simplification,[status(thm)],[mSuccNum]) ).

fof(c_0_11,plain,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => X1 != szszuzczcdt0(X1) ),
    inference(fof_simplification,[status(thm)],[mNatNSucc]) ).

fof(c_0_12,negated_conjecture,
    ~ ( sdtlseqdt0(xm,xn)
    <=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_13,plain,
    ! [X33,X34] :
      ( X33 = X34
      | ~ sdtlseqdt0(X34,X33)
      | ~ sdtlseqdt0(X33,X34)
      | ~ aElementOf0(X34,szNzAzT0)
      | ~ aElementOf0(X33,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])])]) ).

fof(c_0_14,plain,
    ! [X31] :
      ( sdtlseqdt0(X31,szszuzczcdt0(X31))
      | ~ aElementOf0(X31,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])])]) ).

fof(c_0_15,plain,
    ! [X51] :
      ( ( ~ aElementOf0(X51,szNzAzT0)
        | szszuzczcdt0(X51) != sz00 )
      & ( ~ aElementOf0(X51,szNzAzT0)
        | aElementOf0(szszuzczcdt0(X51),szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_16,plain,
    ! [X44] :
      ( X44 != szszuzczcdt0(X44)
      | ~ aElementOf0(X44,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_17,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ( ~ aElementOf0(X18,szNzAzT0)
        | X22 = slbdtrb0(X18)
        | ~ aSet0(X22)
        | aElementOf0(esk2_2(X18,X22),X22)
        | sdtlseqdt0(szszuzczcdt0(esk2_2(X18,X22)),X18) )
      & ( ~ aElementOf0(X18,szNzAzT0)
        | X22 = slbdtrb0(X18)
        | ~ aSet0(X22)
        | aElementOf0(esk2_2(X18,X22),X22)
        | aElementOf0(esk2_2(X18,X22),szNzAzT0) )
      & ( ~ aElementOf0(X18,szNzAzT0)
        | X22 = slbdtrb0(X18)
        | ~ aSet0(X22)
        | ~ sdtlseqdt0(szszuzczcdt0(esk2_2(X18,X22)),X18)
        | ~ aElementOf0(esk2_2(X18,X22),szNzAzT0)
        | ~ aElementOf0(esk2_2(X18,X22),X22) )
      & ( ~ aElementOf0(X18,szNzAzT0)
        | X19 != slbdtrb0(X18)
        | aElementOf0(X21,X19)
        | ~ sdtlseqdt0(szszuzczcdt0(X21),X18)
        | ~ aElementOf0(X21,szNzAzT0) )
      & ( ~ aElementOf0(X18,szNzAzT0)
        | X19 != slbdtrb0(X18)
        | ~ aElementOf0(X20,X19)
        | sdtlseqdt0(szszuzczcdt0(X20),X18) )
      & ( ~ aElementOf0(X18,szNzAzT0)
        | X19 != slbdtrb0(X18)
        | ~ aElementOf0(X20,X19)
        | aElementOf0(X20,szNzAzT0) )
      & ( ~ aElementOf0(X18,szNzAzT0)
        | X19 != slbdtrb0(X18)
        | aSet0(X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefSeg])])])])])])]) ).

fof(c_0_18,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ aSet0(X5)
        | aSubsetOf0(X8,X5)
        | ~ aSet0(X8)
        | ~ aElementOf0(esk1_2(X5,X8),X5) )
      & ( ~ aSet0(X5)
        | aSubsetOf0(X8,X5)
        | ~ aSet0(X8)
        | aElementOf0(esk1_2(X5,X8),X8) )
      & ( ~ aSet0(X5)
        | ~ aSubsetOf0(X6,X5)
        | aElementOf0(X7,X5)
        | ~ aElementOf0(X7,X6) )
      & ( ~ aSet0(X5)
        | ~ aSubsetOf0(X6,X5)
        | aSet0(X6) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefSub])])])])])])]) ).

fof(c_0_19,negated_conjecture,
    ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      | sdtlseqdt0(xm,xn) )
    & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      | ~ sdtlseqdt0(xm,xn) ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

cnf(c_0_20,plain,
    ( ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( X1 != szszuzczcdt0(X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ( ~ aElementOf0(X2,szNzAzT0)
    | X3 != slbdtrb0(X2)
    | ~ aElementOf0(X1,X3)
    | sdtlseqdt0(szszuzczcdt0(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( ~ aSet0(X3)
    | ~ aSubsetOf0(X2,X3)
    | ~ aElementOf0(X1,X2)
    | aElementOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
    | sdtlseqdt0(xm,xn) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( ~ aElementOf0(X2,szNzAzT0)
    | X1 != slbdtrb0(X2)
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_28,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).

cnf(c_0_29,plain,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(X2))
    | sdtlseqdt0(szszuzczcdt0(X1),X2) ),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ aSet0(slbdtrb0(xn))
    | ~ aElementOf0(X1,slbdtrb0(xm))
    | aElementOf0(X1,slbdtrb0(xn))
    | sdtlseqdt0(xm,xn) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aSet0(slbdtrb0(X1)) ),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_32,hypothesis,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__1964]) ).

cnf(c_0_33,plain,
    ( ~ aElementOf0(X2,szNzAzT0)
    | X3 != slbdtrb0(X2)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_34,plain,
    ! [X38,X39] :
      ( sdtlseqdt0(szszuzczcdt0(X39),X38)
      | sdtlseqdt0(X38,X39)
      | ~ aElementOf0(X39,szNzAzT0)
      | ~ aElementOf0(X38,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])])]) ).

cnf(c_0_35,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(X1)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ aElementOf0(X1,slbdtrb0(xm))
    | aElementOf0(X1,slbdtrb0(xn))
    | sdtlseqdt0(xm,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_37,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
    | aElementOf0(X1,slbdtrb0(X2)) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_38,plain,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | sdtlseqdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_39,plain,
    ! [X35,X36,X37] :
      ( sdtlseqdt0(X35,X37)
      | ~ sdtlseqdt0(X36,X37)
      | ~ sdtlseqdt0(X35,X36)
      | ~ aElementOf0(X37,szNzAzT0)
      | ~ aElementOf0(X36,szNzAzT0)
      | ~ aElementOf0(X35,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ aElementOf0(xn,slbdtrb0(xm))
    | sdtlseqdt0(xm,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_32])]) ).

cnf(c_0_41,plain,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(X2,slbdtrb0(X1))
    | sdtlseqdt0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,hypothesis,
    aElementOf0(xm,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__1964]) ).

cnf(c_0_43,plain,
    ( ~ sdtlseqdt0(X2,X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | sdtlseqdt0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    sdtlseqdt0(xm,xn),
    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_32])]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X1,xm)
    | sdtlseqdt0(X1,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_32]),c_0_42])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
    | aElementOf0(X1,slbdtrb0(xn)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_45]),c_0_32])]),c_0_22]) ).

cnf(c_0_47,plain,
    ( ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk1_2(X1,X2),X1)
    | aSubsetOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(xm))
    | aElementOf0(X1,slbdtrb0(xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_42])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
    | ~ sdtlseqdt0(xm,xn) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_50,plain,
    ( ~ aElementOf0(X3,szNzAzT0)
    | X2 != slbdtrb0(X3)
    | ~ aElementOf0(X1,X2)
    | aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ aSet0(X1)
    | ~ aSet0(slbdtrb0(xn))
    | ~ aElementOf0(esk1_2(slbdtrb0(xn),X1),szNzAzT0)
    | ~ aElementOf0(esk1_2(slbdtrb0(xn),X1),slbdtrb0(xm))
    | aSubsetOf0(X1,slbdtrb0(xn)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_52,plain,
    ( ~ aSet0(X1)
    | ~ aSet0(X2)
    | aSubsetOf0(X2,X1)
    | aElementOf0(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_53,negated_conjecture,
    ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_44])]) ).

cnf(c_0_54,plain,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(X2))
    | aElementOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ aSet0(slbdtrb0(xm))
    | ~ aSet0(slbdtrb0(xn))
    | ~ aElementOf0(esk1_2(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_56,plain,
    ( ~ aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(esk1_2(X2,slbdtrb0(X1)),szNzAzT0)
    | aSubsetOf0(slbdtrb0(X1),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_31]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ aSet0(slbdtrb0(xm))
    | ~ aSet0(slbdtrb0(xn)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_42])]),c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ~ aSet0(slbdtrb0(xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_31]),c_0_32])]) ).

cnf(c_0_59,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_31]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM542+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.40  % Computer : n008.cluster.edu
% 0.16/5.40  % Model    : x86_64 x86_64
% 0.16/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.40  % Memory   : 8046.5625MB
% 0.16/5.40  % OS       : Linux 6.8.0-71-generic
% 0.16/5.40  % CPULimit : 300
% 0.16/5.40  % WCLimit  : 300
% 0.16/5.40  % DateTime : Mon Sep 21 02:39:30 UTC 2026
% 0.16/5.40  % CPUTime  : 
% 0.16/5.40  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.44  Running first-order theorem proving
% 0.16/5.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.59  % Version: 3.5.1
% 0.17/5.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.59  % Starting new_bool_3 with 300s (1) cores
% 0.17/5.59  % Starting new_bool_1 with 300s (1) cores
% 0.17/5.59  % Starting sh5l with 300s (1) cores
% 0.17/5.59  % new_bool_1 with pid 4161670 completed with status 0
% 0.17/5.59  % Result found by new_bool_1
% 0.17/5.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.59  % Starting new_bool_3 with 300s (1) cores
% 0.17/5.59  % Starting new_bool_1 with 300s (1) cores
% 0.17/5.59  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/5.59  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/5.59  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.17/5.59  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/5.59  % Starting SubtermCWHack with 31s (1) cores
% 0.17/5.59  % SubtermCWHack with pid 4161673 completed with status 0
% 0.17/5.59  % Result found by SubtermCWHack
% 0.17/5.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.59  % Starting new_bool_3 with 300s (1) cores
% 0.17/5.59  % Starting new_bool_1 with 300s (1) cores
% 0.17/5.59  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/5.59  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/5.59  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.17/5.59  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/5.59  % Starting SubtermCWHack with 31s (1) cores
% 0.17/5.59  % Preprocessing time       : 0.002 s
% 0.17/5.59  
% 0.17/5.59  % Proof found!
% 0.17/5.59  % SZS status Theorem
% 0.17/5.59  % SZS output start CNFRefutation
% See solution above
% 0.17/5.59  % Parsed axioms                        : 55
% 0.17/5.59  % Removed by relevancy pruning/SinE    : 13
% 0.17/5.59  % Initial clauses                      : 64
% 0.17/5.59  % Removed in clause preprocessing      : 4
% 0.17/5.59  % Initial clauses in saturation        : 60
% 0.17/5.59  % Processed clauses                    : 1775
% 0.17/5.59  % ...of these trivial                  : 2
% 0.17/5.59  % ...subsumed                          : 1003
% 0.17/5.59  % ...remaining for further processing  : 770
% 0.17/5.59  % Other redundant clauses eliminated   : 16
% 0.17/5.59  % Clauses deleted for lack of memory   : 0
% 0.17/5.59  % Backward-subsumed                    : 51
% 0.17/5.59  % Backward-rewritten                   : 31
% 0.17/5.59  % Generated clauses                    : 7995
% 0.17/5.59  % ...of the previous two non-redundant : 6357
% 0.17/5.59  % ...aggressively subsumed             : 0
% 0.17/5.59  % Contextual simplify-reflections      : 126
% 0.17/5.59  % Paramodulations                      : 7975
% 0.17/5.59  % Factorizations                       : 0
% 0.17/5.59  % NegExts                              : 0
% 0.17/5.59  % Equation resolutions                 : 20
% 0.17/5.59  % Disequality decompositions           : 0
% 0.17/5.59  % Total rewrite steps                  : 5700
% 0.17/5.59  % ...of those cached                   : 5678
% 0.17/5.59  % Propositional unsat checks           : 0
% 0.17/5.59  %    Propositional check models        : 0
% 0.17/5.59  %    Propositional check unsatisfiable : 0
% 0.17/5.59  %    Propositional clauses             : 0
% 0.17/5.59  %    Propositional clauses after purity: 0
% 0.17/5.59  %    Propositional unsat core size     : 0
% 0.17/5.59  %    Propositional preprocessing time  : 0.000
% 0.17/5.59  %    Propositional encoding time       : 0.000
% 0.17/5.59  %    Propositional solver time         : 0.000
% 0.17/5.59  %    Success case prop preproc time    : 0.000
% 0.17/5.59  %    Success case prop encoding time   : 0.000
% 0.17/5.59  %    Success case prop solver time     : 0.000
% 0.17/5.59  % Current number of processed clauses  : 679
% 0.17/5.59  %    Positive orientable unit clauses  : 25
% 0.17/5.59  %    Positive unorientable unit clauses: 0
% 0.17/5.59  %    Negative unit clauses             : 6
% 0.17/5.59  %    Non-unit-clauses                  : 648
% 0.17/5.59  % Current number of unprocessed clauses: 4526
% 0.17/5.59  % ...number of literals in the above   : 24909
% 0.17/5.59  % Current number of archived formulas  : 0
% 0.17/5.59  % Current number of archived clauses   : 82
% 0.17/5.59  % Clause-clause subsumption calls (NU) : 47072
% 0.17/5.59  % Rec. Clause-clause subsumption calls : 21325
% 0.17/5.59  % Non-unit clause-clause subsumptions  : 1088
% 0.17/5.59  % Unit Clause-clause subsumption calls : 206
% 0.17/5.59  % Rewrite failures with RHS unbound    : 0
% 0.17/5.59  % BW rewrite match attempts            : 8
% 0.17/5.59  % BW rewrite match successes           : 8
% 0.17/5.59  % Condensation attempts                : 0
% 0.17/5.59  % Condensation successes               : 0
% 0.17/5.59  % Termbank termtop insertions          : 150842
% 0.17/5.59  % Search garbage collected termcells   : 1170
% 0.17/5.59  
% 0.17/5.59  % -------------------------------------------------
% 0.17/5.59  % User time                : 0.111 s
% 0.17/5.59  % System time              : 0.003 s
% 0.17/5.59  % Total time               : 0.114 s
% 0.17/5.59  % Maximum resident set size: 3696 pages
% 0.17/5.59  
% 0.17/5.59  % -------------------------------------------------
% 0.17/5.59  % User time                : 0.112 s
% 0.17/5.59  % System time              : 0.007 s
% 0.17/5.59  % Total time               : 0.119 s
% 0.17/5.59  % Maximum resident set size: 4864 pages
% 0.17/5.59  % E exiting
%------------------------------------------------------------------------------