TSTP Solution File: SWV491+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV491+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : Sat May  4 09:45:44 EDT 2024

% Result   : Theorem 69.33s 9.25s
% Output   : CNFRefutation 69.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   61 (  15 unt;   0 def)
%            Number of atoms       :  249 (  77 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  296 ( 108   ~; 110   |;  50   &)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  134 (   2 sgn  65   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
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.qF7yhdimFc/E---3.1_2906.p',plus_and_order1) ).

fof(plus_commutative,axiom,
    ! [X1,X2] : plus(X1,X2) = plus(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.qF7yhdimFc/E---3.1_2906.p',plus_commutative) ).

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.qF7yhdimFc/E---3.1_2906.p',plus_and_inverse) ).

fof(int_leq,axiom,
    ! [X1,X2] :
      ( int_leq(X1,X2)
    <=> ( int_less(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qF7yhdimFc/E---3.1_2906.p',int_leq) ).

fof(plus_zero,axiom,
    ! [X1] : plus(X1,int_zero) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.qF7yhdimFc/E---3.1_2906.p',plus_zero) ).

fof(qii,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) = real_zero ) )
        & ! [X3] :
            ( ( int_leq(int_one,X3)
              & int_leq(X3,X2) )
           => a(X3,X3) = real_one )
        & ! [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.qF7yhdimFc/E---3.1_2906.p',qii) ).

fof(id,conjecture,
    ! [X1,X2] :
      ( ( int_leq(int_one,X1)
        & int_leq(X1,n)
        & int_leq(int_one,X2)
        & int_leq(X2,n) )
     => ( ( X1 != X2
         => a(X1,X2) = real_zero )
        & ( X1 = X2
         => a(X1,X2) = real_one ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qF7yhdimFc/E---3.1_2906.p',id) ).

fof(int_less_total,axiom,
    ! [X1,X2] :
      ( int_less(X1,X2)
      | int_leq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.qF7yhdimFc/E---3.1_2906.p',int_less_total) ).

fof(c_0_8,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) = real_zero ) )
        & ! [X3] :
            ( ( int_leq(int_one,X3)
              & int_leq(X3,X2) )
           => a(X3,X3) = real_one )
        & ! [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) ).

fof(c_0_9,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) = real_zero ) )
        & ! [X3] :
            ( ( int_leq(int_one,X3)
              & int_leq(X3,X2) )
           => a(X3,X3) = real_one )
        & ! [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_8]) ).

fof(c_0_10,plain,
    ! [X36,X37,X38,X39,X40,X41,X42] :
      ( ( ~ int_less(int_zero,X38)
        | X37 != plus(X36,X38)
        | ~ int_leq(int_one,X39)
        | ~ int_leq(X39,X36)
        | a(plus(X39,X38),X39) = real_zero
        | ~ epred1_2(X37,X36) )
      & ( ~ int_leq(int_one,X40)
        | ~ int_leq(X40,X36)
        | a(X40,X40) = real_one
        | ~ epred1_2(X37,X36) )
      & ( ~ int_less(int_zero,X41)
        | X36 != plus(X37,X41)
        | ~ int_leq(int_one,X42)
        | ~ int_leq(X42,X37)
        | a(X42,plus(X42,X41)) = real_zero
        | ~ epred1_2(X37,X36) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

fof(c_0_11,plain,
    ! [X21,X22,X23,X24] :
      ( ~ int_less(X21,X22)
      | ~ int_leq(X23,X24)
      | int_leq(plus(X21,X23),plus(X22,X24)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[plus_and_order1])])]) ).

fof(c_0_12,plain,
    ! [X18,X19] : plus(X18,X19) = plus(X19,X18),
    inference(variable_rename,[status(thm)],[plus_commutative]) ).

cnf(c_0_13,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_10]) ).

fof(c_0_14,plain,
    ! [X25,X26,X28,X29,X30] :
      ( ( plus(X25,esk1_2(X25,X26)) = X26
        | ~ int_less(X25,X26) )
      & ( int_less(int_zero,esk1_2(X25,X26))
        | ~ int_less(X25,X26) )
      & ( plus(X28,X30) != X29
        | ~ int_less(int_zero,X30)
        | int_less(X28,X29) ) ),
    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)],[plus_and_inverse])])])])])])]) ).

fof(c_0_15,plain,
    ! [X9,X10] :
      ( ( ~ int_leq(X9,X10)
        | int_less(X9,X10)
        | X9 = X10 )
      & ( ~ int_less(X9,X10)
        | int_leq(X9,X10) )
      & ( X9 != X10
        | int_leq(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int_leq])])])]) ).

cnf(c_0_16,plain,
    ( int_leq(plus(X1,X3),plus(X2,X4))
    | ~ int_less(X1,X2)
    | ~ int_leq(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,plain,
    ! [X20] : plus(X20,int_zero) = X20,
    inference(variable_rename,[status(thm)],[plus_zero]) ).

cnf(c_0_19,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_13]) ).

cnf(c_0_20,plain,
    ( plus(X1,esk1_2(X1,X2)) = X2
    | ~ int_less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( int_less(int_zero,esk1_2(X1,X2))
    | ~ int_less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( int_leq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_23,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)],[qii,c_0_8]) ).

cnf(c_0_24,plain,
    ( int_leq(plus(X1,X2),plus(X3,X4))
    | ~ int_less(X1,X4)
    | ~ int_leq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_25,plain,
    plus(X1,int_zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_26,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( int_leq(int_one,X1)
          & int_leq(X1,n)
          & int_leq(int_one,X2)
          & int_leq(X2,n) )
       => ( ( X1 != X2
           => a(X1,X2) = real_zero )
          & ( X1 = X2
           => a(X1,X2) = real_one ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[id])]) ).

cnf(c_0_27,plain,
    ( a(X1,plus(X1,esk1_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_19,c_0_20]),c_0_21]) ).

cnf(c_0_28,plain,
    int_leq(X1,X1),
    inference(er,[status(thm)],[c_0_22]) ).

fof(c_0_29,hypothesis,
    ! [X32,X33] :
      ( ~ int_leq(int_one,X32)
      | ~ int_leq(X32,n)
      | ~ int_leq(int_one,X33)
      | ~ int_leq(X33,n)
      | epred1_2(X32,X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

cnf(c_0_30,plain,
    ( int_leq(plus(X1,X2),X3)
    | ~ int_less(X1,esk1_2(X4,X3))
    | ~ int_less(X4,X3)
    | ~ int_leq(X2,X4) ),
    inference(spm,[status(thm)],[c_0_24,c_0_20]) ).

cnf(c_0_31,plain,
    plus(int_zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_25,c_0_17]) ).

cnf(c_0_32,plain,
    ( a(plus(X4,X1),X4) = real_zero
    | ~ int_less(int_zero,X1)
    | X2 != plus(X3,X1)
    | ~ int_leq(int_one,X4)
    | ~ int_leq(X4,X3)
    | ~ epred1_2(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_33,negated_conjecture,
    ( int_leq(int_one,esk2_0)
    & int_leq(esk2_0,n)
    & int_leq(int_one,esk3_0)
    & int_leq(esk3_0,n)
    & ( esk2_0 = esk3_0
      | esk2_0 != esk3_0 )
    & ( a(esk2_0,esk3_0) != real_one
      | esk2_0 != esk3_0 )
    & ( esk2_0 = esk3_0
      | a(esk2_0,esk3_0) != real_zero )
    & ( a(esk2_0,esk3_0) != real_one
      | a(esk2_0,esk3_0) != real_zero ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).

cnf(c_0_34,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_27,c_0_20]),c_0_28])]) ).

cnf(c_0_35,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_29]) ).

cnf(c_0_36,plain,
    ( int_leq(X1,X2)
    | ~ int_less(X3,X2)
    | ~ int_leq(X1,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_21]),c_0_31]) ).

cnf(c_0_37,plain,
    ( a(plus(X1,X2),X1) = real_zero
    | ~ epred1_2(plus(X3,X2),X3)
    | ~ int_less(int_zero,X2)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X1,X3) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( esk2_0 = esk3_0
    | a(esk2_0,esk3_0) != real_zero ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_39,hypothesis,
    ( a(X1,X2) = real_zero
    | ~ int_less(X1,X2)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X2,n)
    | ~ int_leq(X1,n) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    int_leq(int_one,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    int_leq(esk3_0,n),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    int_leq(esk2_0,n),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_43,plain,
    ! [X16,X17] :
      ( int_less(X16,X17)
      | int_leq(X17,X16) ),
    inference(variable_rename,[status(thm)],[int_less_total]) ).

cnf(c_0_44,plain,
    ( a(X1,X1) = real_one
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X1,X2)
    | ~ epred1_2(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_45,plain,
    ( a(plus(X1,esk1_2(X2,X3)),X1) = real_zero
    | ~ epred1_2(X3,X2)
    | ~ int_less(X2,X3)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_20]),c_0_21]) ).

cnf(c_0_46,negated_conjecture,
    ( esk3_0 = esk2_0
    | ~ int_less(esk2_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),c_0_42])]) ).

cnf(c_0_47,plain,
    ( int_less(X1,X2)
    | int_leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( a(esk2_0,esk2_0) = real_one
    | ~ epred1_2(X1,X2)
    | ~ int_leq(esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_40]) ).

cnf(c_0_49,plain,
    ( a(X1,X2) = real_zero
    | ~ epred1_2(X1,X2)
    | ~ int_less(X2,X1)
    | ~ int_leq(int_one,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_20]),c_0_28])]) ).

cnf(c_0_50,plain,
    ( int_less(X1,X2)
    | X1 = X2
    | ~ int_leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_51,negated_conjecture,
    ( esk3_0 = esk2_0
    | int_leq(esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,hypothesis,
    ( a(esk2_0,esk2_0) = real_one
    | ~ int_leq(esk2_0,X1)
    | ~ int_leq(X1,n)
    | ~ int_leq(X2,n)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(int_one,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_35]) ).

cnf(c_0_53,hypothesis,
    ( a(X1,X2) = real_zero
    | ~ int_less(X2,X1)
    | ~ int_leq(int_one,X2)
    | ~ int_leq(X2,n)
    | ~ int_leq(X1,n) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_36]) ).

cnf(c_0_54,negated_conjecture,
    int_leq(int_one,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_55,negated_conjecture,
    ( esk3_0 = esk2_0
    | int_less(esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,hypothesis,
    ( a(esk2_0,esk2_0) = real_one
    | ~ int_leq(X1,n)
    | ~ int_leq(int_one,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_28]),c_0_42]),c_0_40])]) ).

cnf(c_0_57,negated_conjecture,
    ( a(esk2_0,esk3_0) != real_one
    | esk2_0 != esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_58,negated_conjecture,
    esk3_0 = esk2_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_53]),c_0_54]),c_0_41]),c_0_42])]),c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    a(esk2_0,esk2_0) = real_one,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_54])]) ).

cnf(c_0_60,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_58])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV491+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:01:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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/tmp/tmp.qF7yhdimFc/E---3.1_2906.p
% 69.33/9.25  # Version: 3.1.0
% 69.33/9.25  # Preprocessing class: FSMSSMSSSSSNFFN.
% 69.33/9.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 69.33/9.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 69.33/9.25  # Starting new_bool_3 with 300s (1) cores
% 69.33/9.25  # Starting new_bool_1 with 300s (1) cores
% 69.33/9.25  # Starting sh5l with 300s (1) cores
% 69.33/9.25  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3048 completed with status 0
% 69.33/9.25  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 69.33/9.25  # Preprocessing class: FSMSSMSSSSSNFFN.
% 69.33/9.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 69.33/9.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 69.33/9.25  # No SInE strategy applied
% 69.33/9.25  # Search class: FGHSS-FFMS22-SFFFFFNN
% 69.33/9.25  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 69.33/9.25  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 69.33/9.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 69.33/9.25  # Starting new_bool_3 with 136s (1) cores
% 69.33/9.25  # Starting new_bool_1 with 136s (1) cores
% 69.33/9.25  # Starting sh5l with 136s (1) cores
% 69.33/9.25  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3054 completed with status 0
% 69.33/9.25  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 69.33/9.25  # Preprocessing class: FSMSSMSSSSSNFFN.
% 69.33/9.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 69.33/9.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 69.33/9.25  # No SInE strategy applied
% 69.33/9.25  # Search class: FGHSS-FFMS22-SFFFFFNN
% 69.33/9.25  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 69.33/9.25  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 69.33/9.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 69.33/9.25  # Preprocessing time       : 0.002 s
% 69.33/9.25  # Presaturation interreduction done
% 69.33/9.25  
% 69.33/9.25  # Proof found!
% 69.33/9.25  # SZS status Theorem
% 69.33/9.25  # SZS output start CNFRefutation
% See solution above
% 69.33/9.25  # Parsed axioms                        : 13
% 69.33/9.25  # Removed by relevancy pruning/SinE    : 0
% 69.33/9.25  # Initial clauses                      : 28
% 69.33/9.25  # Removed in clause preprocessing      : 1
% 69.33/9.25  # Initial clauses in saturation        : 27
% 69.33/9.25  # Processed clauses                    : 25450
% 69.33/9.25  # ...of these trivial                  : 31
% 69.33/9.25  # ...subsumed                          : 20872
% 69.33/9.25  # ...remaining for further processing  : 4547
% 69.33/9.25  # Other redundant clauses eliminated   : 5
% 69.33/9.25  # Clauses deleted for lack of memory   : 0
% 69.33/9.25  # Backward-subsumed                    : 262
% 69.33/9.25  # Backward-rewritten                   : 1673
% 69.33/9.25  # Generated clauses                    : 591119
% 69.33/9.25  # ...of the previous two non-redundant : 508853
% 69.33/9.25  # ...aggressively subsumed             : 0
% 69.33/9.25  # Contextual simplify-reflections      : 76
% 69.33/9.25  # Paramodulations                      : 590874
% 69.33/9.25  # Factorizations                       : 240
% 69.33/9.25  # NegExts                              : 0
% 69.33/9.25  # Equation resolutions                 : 5
% 69.33/9.25  # Disequality decompositions           : 0
% 69.33/9.25  # Total rewrite steps                  : 131353
% 69.33/9.25  # ...of those cached                   : 131255
% 69.33/9.25  # Propositional unsat checks           : 0
% 69.33/9.25  #    Propositional check models        : 0
% 69.33/9.25  #    Propositional check unsatisfiable : 0
% 69.33/9.25  #    Propositional clauses             : 0
% 69.33/9.25  #    Propositional clauses after purity: 0
% 69.33/9.25  #    Propositional unsat core size     : 0
% 69.33/9.25  #    Propositional preprocessing time  : 0.000
% 69.33/9.25  #    Propositional encoding time       : 0.000
% 69.33/9.25  #    Propositional solver time         : 0.000
% 69.33/9.25  #    Success case prop preproc time    : 0.000
% 69.33/9.25  #    Success case prop encoding time   : 0.000
% 69.33/9.25  #    Success case prop solver time     : 0.000
% 69.33/9.25  # Current number of processed clauses  : 2580
% 69.33/9.25  #    Positive orientable unit clauses  : 11
% 69.33/9.25  #    Positive unorientable unit clauses: 1
% 69.33/9.25  #    Negative unit clauses             : 5
% 69.33/9.25  #    Non-unit-clauses                  : 2563
% 69.33/9.25  # Current number of unprocessed clauses: 480954
% 69.33/9.25  # ...number of literals in the above   : 2544742
% 69.33/9.25  # Current number of archived formulas  : 0
% 69.33/9.25  # Current number of archived clauses   : 1962
% 69.33/9.25  # Clause-clause subsumption calls (NU) : 1574842
% 69.33/9.25  # Rec. Clause-clause subsumption calls : 570809
% 69.33/9.25  # Non-unit clause-clause subsumptions  : 19486
% 69.33/9.25  # Unit Clause-clause subsumption calls : 2885
% 69.33/9.25  # Rewrite failures with RHS unbound    : 0
% 69.33/9.25  # BW rewrite match attempts            : 23
% 69.33/9.25  # BW rewrite match successes           : 14
% 69.33/9.25  # Condensation attempts                : 0
% 69.33/9.25  # Condensation successes               : 0
% 69.33/9.25  # Termbank termtop insertions          : 8336212
% 69.33/9.25  # Search garbage collected termcells   : 415
% 69.33/9.25  
% 69.33/9.25  # -------------------------------------------------
% 69.33/9.25  # User time                : 8.312 s
% 69.33/9.25  # System time              : 0.326 s
% 69.33/9.25  # Total time               : 8.638 s
% 69.33/9.25  # Maximum resident set size: 1776 pages
% 69.33/9.25  
% 69.33/9.25  # -------------------------------------------------
% 69.33/9.25  # User time                : 42.321 s
% 69.33/9.25  # System time              : 0.550 s
% 69.33/9.25  # Total time               : 42.871 s
% 69.33/9.25  # Maximum resident set size: 1704 pages
% 69.33/9.25  % E---3.1 exiting
% 69.33/9.26  % E exiting
%------------------------------------------------------------------------------