TSTP Solution File: SWV486+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV486+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:59:52 EDT 2023

% Result   : Theorem 0.14s 0.56s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   84 (  21 unt;   0 def)
%            Number of atoms       :  251 (  56 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  268 ( 101   ~; 106   |;  37   &)
%                                         (   4 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  157 (   0 sgn;  73   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(plus_and_inverse,axiom,
    ! [X1,X2] :
      ( int_less(X1,X2)
    <=> ? [X3] :
          ( plus(X1,X3) = X2
          & int_less(int_zero,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',plus_and_inverse) ).

fof(int_less_irreflexive,axiom,
    ! [X1,X2] :
      ( int_less(X1,X2)
     => X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',int_less_irreflexive) ).

fof(int_less_transitive,axiom,
    ! [X1,X2,X3] :
      ( ( int_less(X1,X2)
        & int_less(X2,X3) )
     => int_less(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',int_less_transitive) ).

fof(plus_commutative,axiom,
    ! [X1,X2] : plus(X1,X2) = plus(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',plus_commutative) ).

fof(int_leq,axiom,
    ! [X1,X2] :
      ( int_leq(X1,X2)
    <=> ( int_less(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',int_leq) ).

fof(one_successor_of_zero,axiom,
    ! [X1] :
      ( int_less(int_zero,X1)
    <=> int_leq(int_one,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',one_successor_of_zero) ).

fof(plus_and_order1,axiom,
    ! [X4,X5,X6,X7] :
      ( ( int_less(X4,X5)
        & int_leq(X6,X7) )
     => int_leq(plus(X4,X6),plus(X5,X7)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',plus_and_order1) ).

fof(int_less_total,axiom,
    ! [X1,X2] :
      ( int_less(X1,X2)
      | int_leq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',int_less_total) ).

fof(plus_zero,axiom,
    ! [X1] : plus(X1,int_zero) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',plus_zero) ).

fof(lt,conjecture,
    ! [X1,X2] :
      ( ( int_leq(int_one,X1)
        & int_less(X1,X2)
        & int_leq(X2,n) )
     => a(X1,X2) = real_zero ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',lt) ).

fof(qih,hypothesis,
    ! [X1,X2] :
      ( ( int_leq(int_one,X1)
        & int_leq(X1,n)
        & int_leq(int_one,X2)
        & int_leq(X2,n) )
     => ( ! [X8] :
            ( ( int_less(int_zero,X8)
              & X1 = plus(X2,X8) )
           => ! [X3] :
                ( ( int_leq(int_one,X3)
                  & int_leq(X3,X2) )
               => a(plus(X3,X8),X3) = qr(plus(X3,X8),X3) ) )
        & ! [X8] :
            ( ( int_less(int_zero,X8)
              & X2 = plus(X1,X8) )
           => ! [X3] :
                ( ( int_leq(int_one,X3)
                  & int_leq(X3,X1) )
               => a(X3,plus(X3,X8)) = real_zero ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p',qih) ).

fof(c_0_11,plain,
    ! [X27,X28,X30,X31,X32] :
      ( ( plus(X27,esk3_2(X27,X28)) = X28
        | ~ int_less(X27,X28) )
      & ( int_less(int_zero,esk3_2(X27,X28))
        | ~ int_less(X27,X28) )
      & ( plus(X30,X32) != X31
        | ~ int_less(int_zero,X32)
        | int_less(X30,X31) ) ),
    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)],[plus_and_inverse])])])])])]) ).

fof(c_0_12,plain,
    ! [X25,X26] :
      ( ~ int_less(X25,X26)
      | X25 != X26 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int_less_irreflexive])]) ).

fof(c_0_13,plain,
    ! [X22,X23,X24] :
      ( ~ int_less(X22,X23)
      | ~ int_less(X23,X24)
      | int_less(X22,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int_less_transitive])]) ).

cnf(c_0_14,plain,
    ( int_less(X1,X3)
    | plus(X1,X2) != X3
    | ~ int_less(int_zero,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( ~ int_less(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( int_less(X1,X3)
    | ~ int_less(X1,X2)
    | ~ int_less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( int_less(X1,plus(X1,X2))
    | ~ int_less(int_zero,X2) ),
    inference(er,[status(thm)],[c_0_14]) ).

fof(c_0_18,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
    <=> ( ! [X8] :
            ( ( int_less(int_zero,X8)
              & X1 = plus(X2,X8) )
           => ! [X3] :
                ( ( int_leq(int_one,X3)
                  & int_leq(X3,X2) )
               => a(plus(X3,X8),X3) = qr(plus(X3,X8),X3) ) )
        & ! [X8] :
            ( ( int_less(int_zero,X8)
              & X2 = plus(X1,X8) )
           => ! [X3] :
                ( ( int_leq(int_one,X3)
                  & int_leq(X3,X1) )
               => a(X3,plus(X3,X8)) = real_zero ) ) ) ),
    introduced(definition) ).

cnf(c_0_19,plain,
    ~ int_less(X1,X1),
    inference(er,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( int_less(X1,plus(X2,X3))
    | ~ int_less(int_zero,X3)
    | ~ int_less(X1,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_21,plain,
    ! [X33,X34] : plus(X33,X34) = plus(X34,X33),
    inference(variable_rename,[status(thm)],[plus_commutative]) ).

fof(c_0_22,plain,
    ! [X13,X14] :
      ( ( ~ int_leq(X13,X14)
        | int_less(X13,X14)
        | X13 = X14 )
      & ( ~ int_less(X13,X14)
        | int_leq(X13,X14) )
      & ( X13 != X14
        | int_leq(X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int_leq])])]) ).

fof(c_0_23,plain,
    ! [X21] :
      ( ( ~ int_less(int_zero,X21)
        | int_leq(int_one,X21) )
      & ( ~ int_leq(int_one,X21)
        | int_less(int_zero,X21) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_successor_of_zero])]) ).

fof(c_0_24,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
     => ( ! [X8] :
            ( ( int_less(int_zero,X8)
              & X1 = plus(X2,X8) )
           => ! [X3] :
                ( ( int_leq(int_one,X3)
                  & int_leq(X3,X2) )
               => a(plus(X3,X8),X3) = qr(plus(X3,X8),X3) ) )
        & ! [X8] :
            ( ( int_less(int_zero,X8)
              & X2 = plus(X1,X8) )
           => ! [X3] :
                ( ( int_leq(int_one,X3)
                  & int_leq(X3,X1) )
               => a(X3,plus(X3,X8)) = real_zero ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_18]) ).

fof(c_0_25,plain,
    ! [X17,X18,X19,X20] :
      ( ~ int_less(X17,X18)
      | ~ int_leq(X19,X20)
      | int_leq(plus(X17,X19),plus(X18,X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[plus_and_order1])]) ).

cnf(c_0_26,plain,
    ( ~ int_less(plus(X1,X2),X1)
    | ~ int_less(int_zero,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( int_less(X1,X2)
    | X1 = X2
    | ~ int_leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ( int_leq(int_one,X1)
    | ~ int_less(int_zero,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,plain,
    ! [X36,X37,X38,X39,X40,X41] :
      ( ( ~ int_less(int_zero,X38)
        | X37 != plus(X36,X38)
        | ~ int_leq(int_one,X39)
        | ~ int_leq(X39,X36)
        | a(plus(X39,X38),X39) = qr(plus(X39,X38),X39)
        | ~ epred1_2(X37,X36) )
      & ( ~ int_less(int_zero,X40)
        | X36 != plus(X37,X40)
        | ~ int_leq(int_one,X41)
        | ~ int_leq(X41,X37)
        | a(X41,plus(X41,X40)) = real_zero
        | ~ epred1_2(X37,X36) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).

cnf(c_0_31,plain,
    ( int_leq(plus(X1,X3),plus(X2,X4))
    | ~ int_less(X1,X2)
    | ~ int_leq(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,plain,
    ( plus(X1,esk3_2(X1,X2)) = X2
    | ~ int_less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_33,plain,
    ! [X15,X16] :
      ( int_less(X15,X16)
      | int_leq(X16,X15) ),
    inference(variable_rename,[status(thm)],[int_less_total]) ).

fof(c_0_34,plain,
    ! [X35] : plus(X35,int_zero) = X35,
    inference(variable_rename,[status(thm)],[plus_zero]) ).

cnf(c_0_35,plain,
    ( ~ int_less(plus(X1,X2),X2)
    | ~ int_less(int_zero,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_36,plain,
    ( int_one = X1
    | int_less(int_one,X1)
    | ~ int_less(int_zero,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,plain,
    ( int_less(int_zero,esk3_2(X1,X2))
    | ~ int_less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_38,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( int_leq(int_one,X1)
          & int_less(X1,X2)
          & int_leq(X2,n) )
       => a(X1,X2) = real_zero ),
    inference(assume_negation,[status(cth)],[lt]) ).

cnf(c_0_39,plain,
    ( a(X4,plus(X4,X1)) = real_zero
    | ~ int_less(int_zero,X1)
    | X2 != plus(X3,X1)
    | ~ int_leq(int_one,X4)
    | ~ int_leq(X4,X3)
    | ~ epred1_2(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    ( int_leq(plus(X1,X2),X3)
    | ~ int_less(X1,X4)
    | ~ int_less(X4,X3)
    | ~ int_leq(X2,esk3_2(X4,X3)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_41,plain,
    ( int_less(int_zero,X1)
    | ~ int_leq(int_one,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_42,plain,
    ( int_less(X1,X2)
    | int_leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    plus(X1,int_zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,plain,
    ( int_less(X1,plus(X2,X1))
    | ~ int_less(int_zero,X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_27]) ).

cnf(c_0_45,plain,
    ( ~ int_less(X1,esk3_2(X2,X1))
    | ~ int_less(int_zero,X2)
    | ~ int_less(X2,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_32]) ).

cnf(c_0_46,plain,
    ( esk3_2(X1,X2) = int_one
    | int_less(int_one,esk3_2(X1,X2))
    | ~ int_less(X1,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_47,negated_conjecture,
    ( int_leq(int_one,esk1_0)
    & int_less(esk1_0,esk2_0)
    & int_leq(esk2_0,n)
    & a(esk1_0,esk2_0) != real_zero ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

cnf(c_0_48,plain,
    ( a(X1,plus(X1,X2)) = real_zero
    | ~ epred1_2(X3,plus(X3,X2))
    | ~ int_less(int_zero,X2)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X1,X3) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_49,plain,
    ( int_leq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_50,plain,
    ( int_leq(plus(X1,int_one),X2)
    | ~ int_less(X1,X3)
    | ~ int_less(X3,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_37]) ).

cnf(c_0_51,plain,
    ( int_less(X1,int_one)
    | int_less(int_zero,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_52,plain,
    plus(int_zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_43,c_0_27]) ).

cnf(c_0_53,plain,
    ( int_less(esk3_2(X1,X2),X2)
    | ~ int_less(int_zero,X1)
    | ~ int_less(X1,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_32]) ).

cnf(c_0_54,plain,
    ( esk3_2(X1,int_one) = int_one
    | ~ int_less(int_zero,X1)
    | ~ int_less(X1,int_one) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_55,negated_conjecture,
    int_leq(int_one,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,negated_conjecture,
    int_leq(esk2_0,n),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,plain,
    ( a(X1,plus(X1,esk3_2(X2,X3))) = real_zero
    | ~ epred1_2(X2,X3)
    | ~ int_less(X2,X3)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_32]),c_0_37]) ).

cnf(c_0_58,plain,
    int_leq(X1,X1),
    inference(er,[status(thm)],[c_0_49]) ).

fof(c_0_59,hypothesis,
    ! [X1,X2] :
      ( ( int_leq(int_one,X1)
        & int_leq(X1,n)
        & int_leq(int_one,X2)
        & int_leq(X2,n) )
     => epred1_2(X1,X2) ),
    inference(apply_def,[status(thm)],[qih,c_0_18]) ).

cnf(c_0_60,plain,
    ( int_less(X1,int_one)
    | int_leq(int_one,X2)
    | ~ int_less(X1,X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    int_less(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_62,plain,
    ( ~ int_less(int_zero,X1)
    | ~ int_less(X1,int_one) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_19]) ).

cnf(c_0_63,negated_conjecture,
    int_less(int_zero,esk1_0),
    inference(spm,[status(thm)],[c_0_41,c_0_55]) ).

cnf(c_0_64,negated_conjecture,
    ( n = esk2_0
    | int_less(esk2_0,n) ),
    inference(spm,[status(thm)],[c_0_28,c_0_56]) ).

cnf(c_0_65,plain,
    ( X1 = X2
    | int_less(X2,X1)
    | int_less(X1,X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_42]) ).

cnf(c_0_66,negated_conjecture,
    a(esk1_0,esk2_0) != real_zero,
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_67,plain,
    ( a(X1,X2) = real_zero
    | ~ epred1_2(X1,X2)
    | ~ int_less(X1,X2)
    | ~ int_leq(int_one,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_32]),c_0_58])]) ).

fof(c_0_68,hypothesis,
    ! [X11,X12] :
      ( ~ int_leq(int_one,X11)
      | ~ int_leq(X11,n)
      | ~ int_leq(int_one,X12)
      | ~ int_leq(X12,n)
      | epred1_2(X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).

cnf(c_0_69,negated_conjecture,
    ( int_less(esk1_0,int_one)
    | int_leq(int_one,esk2_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    ~ int_less(esk1_0,int_one),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    ( n = esk2_0
    | int_less(X1,n)
    | ~ int_less(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_64]) ).

cnf(c_0_72,plain,
    ( X1 = X2
    | int_less(X2,X1)
    | int_less(X3,X2)
    | ~ int_less(X3,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    ~ epred1_2(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61]),c_0_55])]) ).

cnf(c_0_74,hypothesis,
    ( epred1_2(X1,X2)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X1,n)
    | ~ int_leq(int_one,X2)
    | ~ int_leq(X2,n) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_75,negated_conjecture,
    int_leq(int_one,esk2_0),
    inference(sr,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    ( n = esk2_0
    | ~ int_less(n,esk2_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    ( esk2_0 = X1
    | int_less(esk1_0,X1)
    | int_less(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_61]) ).

cnf(c_0_78,hypothesis,
    ~ int_leq(esk1_0,n),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_56]),c_0_75]),c_0_55])]) ).

cnf(c_0_79,plain,
    ( int_leq(X1,X2)
    | ~ int_less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_80,negated_conjecture,
    ( n = esk2_0
    | int_less(esk1_0,n) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,hypothesis,
    ~ int_less(esk1_0,n),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_82,negated_conjecture,
    n = esk2_0,
    inference(sr,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_83,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_61])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV486+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n026.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.30  % CPULimit   : 2400
% 0.14/0.30  % WCLimit    : 300
% 0.14/0.30  % DateTime   : Tue Oct  3 03:35:59 EDT 2023
% 0.14/0.30  % CPUTime    : 
% 0.14/0.40  Running first-order model finding
% 0.14/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ZM6GcWtqV0/E---3.1_11150.p
% 0.14/0.56  # Version: 3.1pre001
% 0.14/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.56  # Starting sh5l with 300s (1) cores
% 0.14/0.56  # sh5l with pid 11230 completed with status 0
% 0.14/0.56  # Result found by sh5l
% 0.14/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.56  # Starting sh5l with 300s (1) cores
% 0.14/0.56  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.56  # Search class: FGHSS-FFSS22-SFFFFFNN
% 0.14/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.56  # SAT001_MinMin_p005000_rr_RG with pid 11238 completed with status 0
% 0.14/0.56  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.56  # Starting sh5l with 300s (1) cores
% 0.14/0.56  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.56  # Search class: FGHSS-FFSS22-SFFFFFNN
% 0.14/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.56  # Preprocessing time       : 0.001 s
% 0.14/0.56  # Presaturation interreduction done
% 0.14/0.56  
% 0.14/0.56  # Proof found!
% 0.14/0.56  # SZS status Theorem
% 0.14/0.56  # SZS output start CNFRefutation
% See solution above
% 0.14/0.56  # Parsed axioms                        : 13
% 0.14/0.56  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.56  # Initial clauses                      : 23
% 0.14/0.56  # Removed in clause preprocessing      : 0
% 0.14/0.56  # Initial clauses in saturation        : 23
% 0.14/0.56  # Processed clauses                    : 2640
% 0.14/0.56  # ...of these trivial                  : 9
% 0.14/0.56  # ...subsumed                          : 2145
% 0.14/0.56  # ...remaining for further processing  : 486
% 0.14/0.56  # Other redundant clauses eliminated   : 5
% 0.14/0.56  # Clauses deleted for lack of memory   : 0
% 0.14/0.56  # Backward-subsumed                    : 74
% 0.14/0.56  # Backward-rewritten                   : 69
% 0.14/0.56  # Generated clauses                    : 7556
% 0.14/0.56  # ...of the previous two non-redundant : 7021
% 0.14/0.56  # ...aggressively subsumed             : 0
% 0.14/0.56  # Contextual simplify-reflections      : 9
% 0.14/0.56  # Paramodulations                      : 7545
% 0.14/0.56  # Factorizations                       : 2
% 0.14/0.56  # NegExts                              : 0
% 0.14/0.56  # Equation resolutions                 : 5
% 0.14/0.56  # Total rewrite steps                  : 817
% 0.14/0.56  # Propositional unsat checks           : 0
% 0.14/0.56  #    Propositional check models        : 0
% 0.14/0.56  #    Propositional check unsatisfiable : 0
% 0.14/0.56  #    Propositional clauses             : 0
% 0.14/0.56  #    Propositional clauses after purity: 0
% 0.14/0.56  #    Propositional unsat core size     : 0
% 0.14/0.56  #    Propositional preprocessing time  : 0.000
% 0.14/0.56  #    Propositional encoding time       : 0.000
% 0.14/0.56  #    Propositional solver time         : 0.000
% 0.14/0.56  #    Success case prop preproc time    : 0.000
% 0.14/0.56  #    Success case prop encoding time   : 0.000
% 0.14/0.56  #    Success case prop solver time     : 0.000
% 0.14/0.56  # Current number of processed clauses  : 311
% 0.14/0.56  #    Positive orientable unit clauses  : 10
% 0.14/0.56  #    Positive unorientable unit clauses: 1
% 0.14/0.56  #    Negative unit clauses             : 10
% 0.14/0.56  #    Non-unit-clauses                  : 290
% 0.14/0.56  # Current number of unprocessed clauses: 4302
% 0.14/0.56  # ...number of literals in the above   : 20876
% 0.14/0.56  # Current number of archived formulas  : 0
% 0.14/0.56  # Current number of archived clauses   : 170
% 0.14/0.56  # Clause-clause subsumption calls (NU) : 36467
% 0.14/0.56  # Rec. Clause-clause subsumption calls : 16626
% 0.14/0.56  # Non-unit clause-clause subsumptions  : 1510
% 0.14/0.56  # Unit Clause-clause subsumption calls : 615
% 0.14/0.56  # Rewrite failures with RHS unbound    : 0
% 0.14/0.56  # BW rewrite match attempts            : 10
% 0.14/0.56  # BW rewrite match successes           : 7
% 0.14/0.56  # Condensation attempts                : 0
% 0.14/0.56  # Condensation successes               : 0
% 0.14/0.56  # Termbank termtop insertions          : 93428
% 0.14/0.56  
% 0.14/0.56  # -------------------------------------------------
% 0.14/0.56  # User time                : 0.144 s
% 0.14/0.56  # System time              : 0.008 s
% 0.14/0.56  # Total time               : 0.152 s
% 0.14/0.56  # Maximum resident set size: 1728 pages
% 0.14/0.56  
% 0.14/0.56  # -------------------------------------------------
% 0.14/0.56  # User time                : 0.145 s
% 0.14/0.56  # System time              : 0.009 s
% 0.14/0.56  # Total time               : 0.155 s
% 0.14/0.56  # Maximum resident set size: 1688 pages
% 0.14/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------