TSTP Solution File: SEU208+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 19:30:54 EDT 2023

% Result   : Theorem 62.16s 8.53s
% Output   : CNFRefutation 62.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   59 (  16 unt;   0 def)
%            Number of atoms       :  185 (  22 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  211 (  85   ~; 101   |;  16   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-4 aty)
%            Number of variables   :   98 (   1 sgn;  36   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t166_relat_1,conjecture,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(X1,relation_inverse_image(X3,X2))
      <=> ? [X4] :
            ( in(X4,relation_rng(X3))
            & in(ordered_pair(X1,X4),X3)
            & in(X4,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.aBXifJe9Im/E---3.1_18686.p',t166_relat_1) ).

fof(d5_tarski,axiom,
    ! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.aBXifJe9Im/E---3.1_18686.p',d5_tarski) ).

fof(t69_enumset1,lemma,
    ! [X1] : unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox2/tmp/tmp.aBXifJe9Im/E---3.1_18686.p',t69_enumset1) ).

fof(d14_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2,X3] :
          ( X3 = relation_inverse_image(X1,X2)
        <=> ! [X4] :
              ( in(X4,X3)
            <=> ? [X5] :
                  ( in(ordered_pair(X4,X5),X1)
                  & in(X5,X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.aBXifJe9Im/E---3.1_18686.p',d14_relat_1) ).

fof(commutativity_k2_tarski,axiom,
    ! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.aBXifJe9Im/E---3.1_18686.p',commutativity_k2_tarski) ).

fof(t20_relat_1,lemma,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(ordered_pair(X1,X2),X3)
       => ( in(X1,relation_dom(X3))
          & in(X2,relation_rng(X3)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.aBXifJe9Im/E---3.1_18686.p',t20_relat_1) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( relation(X3)
       => ( in(X1,relation_inverse_image(X3,X2))
        <=> ? [X4] :
              ( in(X4,relation_rng(X3))
              & in(ordered_pair(X1,X4),X3)
              & in(X4,X2) ) ) ),
    inference(assume_negation,[status(cth)],[t166_relat_1]) ).

fof(c_0_7,plain,
    ! [X218,X219] : ordered_pair(X218,X219) = unordered_pair(unordered_pair(X218,X219),singleton(X218)),
    inference(variable_rename,[status(thm)],[d5_tarski]) ).

fof(c_0_8,lemma,
    ! [X524] : unordered_pair(X524,X524) = singleton(X524),
    inference(variable_rename,[status(thm)],[t69_enumset1]) ).

fof(c_0_9,negated_conjecture,
    ! [X403] :
      ( relation(esk64_0)
      & ( ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
        | ~ in(X403,relation_rng(esk64_0))
        | ~ in(ordered_pair(esk62_0,X403),esk64_0)
        | ~ in(X403,esk63_0) )
      & ( in(esk65_0,relation_rng(esk64_0))
        | in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) )
      & ( in(ordered_pair(esk62_0,esk65_0),esk64_0)
        | in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) )
      & ( in(esk65_0,esk63_0)
        | in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).

cnf(c_0_10,plain,
    ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,lemma,
    unordered_pair(X1,X1) = singleton(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_12,plain,
    ! [X58,X59,X60,X61,X63,X64,X65,X66,X68] :
      ( ( in(ordered_pair(X61,esk10_4(X58,X59,X60,X61)),X58)
        | ~ in(X61,X60)
        | X60 != relation_inverse_image(X58,X59)
        | ~ relation(X58) )
      & ( in(esk10_4(X58,X59,X60,X61),X59)
        | ~ in(X61,X60)
        | X60 != relation_inverse_image(X58,X59)
        | ~ relation(X58) )
      & ( ~ in(ordered_pair(X63,X64),X58)
        | ~ in(X64,X59)
        | in(X63,X60)
        | X60 != relation_inverse_image(X58,X59)
        | ~ relation(X58) )
      & ( ~ in(esk11_3(X58,X65,X66),X66)
        | ~ in(ordered_pair(esk11_3(X58,X65,X66),X68),X58)
        | ~ in(X68,X65)
        | X66 = relation_inverse_image(X58,X65)
        | ~ relation(X58) )
      & ( in(ordered_pair(esk11_3(X58,X65,X66),esk12_3(X58,X65,X66)),X58)
        | in(esk11_3(X58,X65,X66),X66)
        | X66 = relation_inverse_image(X58,X65)
        | ~ relation(X58) )
      & ( in(esk12_3(X58,X65,X66),X65)
        | in(esk11_3(X58,X65,X66),X66)
        | X66 = relation_inverse_image(X58,X65)
        | ~ relation(X58) ) ),
    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)],[d14_relat_1])])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( in(ordered_pair(esk62_0,esk65_0),esk64_0)
    | in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_15,plain,
    ! [X12,X13] : unordered_pair(X12,X13) = unordered_pair(X13,X12),
    inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).

fof(c_0_16,lemma,
    ! [X416,X417,X418] :
      ( ( in(X416,relation_dom(X418))
        | ~ in(ordered_pair(X416,X417),X418)
        | ~ relation(X418) )
      & ( in(X417,relation_rng(X418))
        | ~ in(ordered_pair(X416,X417),X418)
        | ~ relation(X418) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).

cnf(c_0_17,plain,
    ( in(ordered_pair(X1,esk10_4(X2,X3,X4,X1)),X2)
    | ~ in(X1,X4)
    | X4 != relation_inverse_image(X2,X3)
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
    | ~ in(X1,relation_rng(esk64_0))
    | ~ in(ordered_pair(esk62_0,X1),esk64_0)
    | ~ in(X1,esk63_0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_19,negated_conjecture,
    ( in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
    | in(unordered_pair(unordered_pair(esk62_0,esk65_0),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_20,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( in(esk10_4(X1,X2,X3,X4),X2)
    | ~ in(X4,X3)
    | X3 != relation_inverse_image(X1,X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_22,lemma,
    ( in(X1,relation_rng(X2))
    | ~ in(ordered_pair(X3,X1),X2)
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( in(unordered_pair(unordered_pair(X1,esk10_4(X2,X3,X4,X1)),unordered_pair(X1,X1)),X2)
    | X4 != relation_inverse_image(X2,X3)
    | ~ relation(X2)
    | ~ in(X1,X4) ),
    inference(rw,[status(thm)],[c_0_17,c_0_14]) ).

cnf(c_0_24,plain,
    ( in(X1,X5)
    | ~ in(ordered_pair(X1,X2),X3)
    | ~ in(X2,X4)
    | X5 != relation_inverse_image(X3,X4)
    | ~ relation(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ in(X1,esk63_0)
    | ~ in(X1,relation_rng(esk64_0))
    | ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
    | ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
    inference(rw,[status(thm)],[c_0_18,c_0_14]) ).

cnf(c_0_26,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
    | in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    ( in(esk10_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
    | ~ relation(X1)
    | ~ in(X3,relation_inverse_image(X1,X2)) ),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    relation(esk64_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_29,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
    inference(rw,[status(thm)],[c_0_22,c_0_14]) ).

cnf(c_0_30,plain,
    ( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk10_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)
    | ~ relation(X2)
    | ~ in(X1,relation_inverse_image(X2,X3)) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_20])]) ).

cnf(c_0_31,plain,
    ( in(X1,X5)
    | X5 != relation_inverse_image(X3,X4)
    | ~ relation(X3)
    | ~ in(X2,X4)
    | ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
    inference(rw,[status(thm)],[c_0_24,c_0_14]) ).

cnf(c_0_32,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
    | ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
    | ~ in(X1,relation_rng(esk64_0))
    | ~ in(X1,esk63_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
    | in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),esk63_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_28])]) ).

cnf(c_0_34,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X1)),X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_20]) ).

cnf(c_0_35,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
    | in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_28])]) ).

cnf(c_0_36,negated_conjecture,
    ( in(esk65_0,esk63_0)
    | in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_37,plain,
    ( in(X1,relation_inverse_image(X2,X3))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X2)
    | ~ in(X4,X3) ),
    inference(er,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
    | ~ in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
    | ~ in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_20]) ).

cnf(c_0_39,negated_conjecture,
    ( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0))
    | in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28])]) ).

cnf(c_0_40,negated_conjecture,
    ( in(esk65_0,esk63_0)
    | ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
    | ~ in(X1,relation_rng(esk64_0))
    | ~ in(X1,esk63_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),esk63_0)
    | in(esk65_0,esk63_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_36]),c_0_28])]) ).

cnf(c_0_42,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
    | in(esk65_0,esk63_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_28])]) ).

cnf(c_0_43,plain,
    ( in(X1,relation_inverse_image(X2,X3))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X4)),X2)
    | ~ in(X4,X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_20]) ).

cnf(c_0_44,negated_conjecture,
    in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    ( in(esk65_0,esk63_0)
    | ~ in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
    | ~ in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_20]) ).

cnf(c_0_46,negated_conjecture,
    ( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0))
    | in(esk65_0,esk63_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_42]),c_0_28])]) ).

cnf(c_0_47,negated_conjecture,
    ( in(esk65_0,relation_rng(esk64_0))
    | in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_48,negated_conjecture,
    ( in(esk62_0,relation_inverse_image(esk64_0,X1))
    | ~ in(esk65_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_28])]) ).

cnf(c_0_49,negated_conjecture,
    in(esk65_0,esk63_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    ( in(esk65_0,relation_rng(esk64_0))
    | ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
    | ~ in(X1,relation_rng(esk64_0))
    | ~ in(X1,esk63_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    ( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),esk63_0)
    | in(esk65_0,relation_rng(esk64_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_47]),c_0_28])]) ).

cnf(c_0_52,negated_conjecture,
    ( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
    | in(esk65_0,relation_rng(esk64_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_47]),c_0_28])]) ).

cnf(c_0_53,negated_conjecture,
    in(esk62_0,relation_inverse_image(esk64_0,esk63_0)),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    ( in(esk65_0,relation_rng(esk64_0))
    | ~ in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
    | ~ in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_20]) ).

cnf(c_0_55,negated_conjecture,
    ( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0))
    | in(esk65_0,relation_rng(esk64_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_52]),c_0_28])]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
    | ~ in(X1,relation_rng(esk64_0))
    | ~ in(X1,esk63_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_53])]) ).

cnf(c_0_57,negated_conjecture,
    in(esk65_0,relation_rng(esk64_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_49]),c_0_20]),c_0_44]),c_0_57])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 08:26:34 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  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.aBXifJe9Im/E---3.1_18686.p
% 62.16/8.53  # Version: 3.1pre001
% 62.16/8.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 62.16/8.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.16/8.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 62.16/8.53  # Starting new_bool_3 with 300s (1) cores
% 62.16/8.53  # Starting new_bool_1 with 300s (1) cores
% 62.16/8.53  # Starting sh5l with 300s (1) cores
% 62.16/8.53  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 18789 completed with status 0
% 62.16/8.53  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 62.16/8.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 62.16/8.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.16/8.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 62.16/8.53  # No SInE strategy applied
% 62.16/8.53  # Search class: FGHSM-FSLM32-MFFFFFNN
% 62.16/8.53  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 62.16/8.53  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 62.16/8.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 62.16/8.53  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 62.16/8.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 62.16/8.53  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 62.16/8.53  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 18797 completed with status 0
% 62.16/8.53  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 62.16/8.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 62.16/8.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.16/8.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 62.16/8.53  # No SInE strategy applied
% 62.16/8.53  # Search class: FGHSM-FSLM32-MFFFFFNN
% 62.16/8.53  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 62.16/8.53  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 62.16/8.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 62.16/8.53  # Preprocessing time       : 0.005 s
% 62.16/8.53  # Presaturation interreduction done
% 62.16/8.53  
% 62.16/8.53  # Proof found!
% 62.16/8.53  # SZS status Theorem
% 62.16/8.53  # SZS output start CNFRefutation
% See solution above
% 62.16/8.53  # Parsed axioms                        : 205
% 62.16/8.53  # Removed by relevancy pruning/SinE    : 0
% 62.16/8.53  # Initial clauses                      : 373
% 62.16/8.53  # Removed in clause preprocessing      : 23
% 62.16/8.53  # Initial clauses in saturation        : 350
% 62.16/8.53  # Processed clauses                    : 19949
% 62.16/8.53  # ...of these trivial                  : 303
% 62.16/8.53  # ...subsumed                          : 15509
% 62.16/8.53  # ...remaining for further processing  : 4137
% 62.16/8.53  # Other redundant clauses eliminated   : 1654
% 62.16/8.53  # Clauses deleted for lack of memory   : 0
% 62.16/8.53  # Backward-subsumed                    : 45
% 62.16/8.53  # Backward-rewritten                   : 570
% 62.16/8.53  # Generated clauses                    : 350526
% 62.16/8.53  # ...of the previous two non-redundant : 335434
% 62.16/8.53  # ...aggressively subsumed             : 0
% 62.16/8.53  # Contextual simplify-reflections      : 87
% 62.16/8.53  # Paramodulations                      : 348791
% 62.16/8.53  # Factorizations                       : 61
% 62.16/8.53  # NegExts                              : 0
% 62.16/8.53  # Equation resolutions                 : 1681
% 62.16/8.53  # Total rewrite steps                  : 53659
% 62.16/8.53  # Propositional unsat checks           : 0
% 62.16/8.53  #    Propositional check models        : 0
% 62.16/8.53  #    Propositional check unsatisfiable : 0
% 62.16/8.53  #    Propositional clauses             : 0
% 62.16/8.53  #    Propositional clauses after purity: 0
% 62.16/8.53  #    Propositional unsat core size     : 0
% 62.16/8.53  #    Propositional preprocessing time  : 0.000
% 62.16/8.53  #    Propositional encoding time       : 0.000
% 62.16/8.53  #    Propositional solver time         : 0.000
% 62.16/8.53  #    Success case prop preproc time    : 0.000
% 62.16/8.53  #    Success case prop encoding time   : 0.000
% 62.16/8.53  #    Success case prop solver time     : 0.000
% 62.16/8.53  # Current number of processed clauses  : 3143
% 62.16/8.53  #    Positive orientable unit clauses  : 620
% 62.16/8.53  #    Positive unorientable unit clauses: 4
% 62.16/8.53  #    Negative unit clauses             : 562
% 62.16/8.53  #    Non-unit-clauses                  : 1957
% 62.16/8.53  # Current number of unprocessed clauses: 316004
% 62.16/8.53  # ...number of literals in the above   : 1391173
% 62.16/8.53  # Current number of archived formulas  : 0
% 62.16/8.53  # Current number of archived clauses   : 935
% 62.16/8.53  # Clause-clause subsumption calls (NU) : 660485
% 62.16/8.53  # Rec. Clause-clause subsumption calls : 390237
% 62.16/8.53  # Non-unit clause-clause subsumptions  : 6136
% 62.16/8.53  # Unit Clause-clause subsumption calls : 51175
% 62.16/8.53  # Rewrite failures with RHS unbound    : 0
% 62.16/8.53  # BW rewrite match attempts            : 454
% 62.16/8.53  # BW rewrite match successes           : 101
% 62.16/8.53  # Condensation attempts                : 0
% 62.16/8.53  # Condensation successes               : 0
% 62.16/8.53  # Termbank termtop insertions          : 5671719
% 62.16/8.53  
% 62.16/8.53  # -------------------------------------------------
% 62.16/8.53  # User time                : 7.624 s
% 62.16/8.53  # System time              : 0.271 s
% 62.16/8.53  # Total time               : 7.895 s
% 62.16/8.53  # Maximum resident set size: 3064 pages
% 62.16/8.53  
% 62.16/8.53  # -------------------------------------------------
% 62.16/8.53  # User time                : 37.275 s
% 62.16/8.53  # System time              : 1.203 s
% 62.16/8.53  # Total time               : 38.478 s
% 62.16/8.53  # Maximum resident set size: 1888 pages
% 62.16/8.53  % E---3.1 exiting
%------------------------------------------------------------------------------