TSTP Solution File: LCL458+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL458+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 18:12:49 EDT 2023

% Result   : Theorem 56.06s 7.80s
% Output   : CNFRefutation 56.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   88 (  44 unt;   0 def)
%            Number of atoms       :  164 (  32 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :  128 (  52   ~;  51   |;  11   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   15 (  13 usr;  13 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  16 con; 0-2 aty)
%            Number of variables   :  129 (   0 sgn;  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(op_implies_or,axiom,
    ( op_implies_or
   => ! [X1,X2] : implies(X1,X2) = or(not(X1),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',op_implies_or) ).

fof(op_and,axiom,
    ( op_and
   => ! [X1,X2] : and(X1,X2) = not(or(not(X1),not(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',op_and) ).

fof(principia_op_implies_or,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',principia_op_implies_or) ).

fof(op_implies_and,axiom,
    ( op_implies_and
   => ! [X1,X2] : implies(X1,X2) = not(and(X1,not(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',op_implies_and) ).

fof(op_or,axiom,
    ( op_or
   => ! [X1,X2] : or(X1,X2) = not(and(not(X1),not(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',op_or) ).

fof(principia_op_and,axiom,
    op_and,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',principia_op_and) ).

fof(hilbert_op_implies_and,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',hilbert_op_implies_and) ).

fof(modus_ponens,axiom,
    ( modus_ponens
  <=> ! [X1,X2] :
        ( ( is_a_theorem(X1)
          & is_a_theorem(implies(X1,X2)) )
       => is_a_theorem(X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',modus_ponens) ).

fof(and_3,axiom,
    ( and_3
  <=> ! [X1,X2] : is_a_theorem(implies(X1,implies(X2,and(X1,X2)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',and_3) ).

fof(modus_tollens,axiom,
    ( modus_tollens
  <=> ! [X1,X2] : is_a_theorem(implies(implies(not(X2),not(X1)),implies(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',modus_tollens) ).

fof(hilbert_op_or,axiom,
    op_or,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',hilbert_op_or) ).

fof(substitution_of_equivalents,axiom,
    ( substitution_of_equivalents
  <=> ! [X1,X2] :
        ( is_a_theorem(equiv(X1,X2))
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',substitution_of_equivalents) ).

fof(op_equiv,axiom,
    ( op_equiv
   => ! [X1,X2] : equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',op_equiv) ).

fof(hilbert_modus_ponens,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',hilbert_modus_ponens) ).

fof(hilbert_and_3,axiom,
    and_3,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',hilbert_and_3) ).

fof(hilbert_modus_tollens,axiom,
    modus_tollens,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',hilbert_modus_tollens) ).

fof(substitution_of_equivalents_0001,axiom,
    substitution_of_equivalents,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',substitution_of_equivalents_0001) ).

fof(hilbert_op_equiv,axiom,
    op_equiv,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',hilbert_op_equiv) ).

fof(r3,axiom,
    ( r3
  <=> ! [X4,X5] : is_a_theorem(implies(or(X4,X5),or(X5,X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',r3) ).

fof(implies_3,axiom,
    ( implies_3
  <=> ! [X1,X2,X3] : is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',implies_3) ).

fof(r5,axiom,
    ( r5
  <=> ! [X4,X5,X6] : is_a_theorem(implies(implies(X5,X6),implies(or(X4,X5),or(X4,X6)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',r5) ).

fof(principia_r5,conjecture,
    r5,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',principia_r5) ).

fof(hilbert_implies_3,axiom,
    implies_3,
    file('/export/starexec/sandbox2/tmp/tmp.zqOBL0dhWk/E---3.1_10803.p',hilbert_implies_3) ).

fof(c_0_23,plain,
    ! [X123,X124] :
      ( ~ op_implies_or
      | implies(X123,X124) = or(not(X123),X124) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_or])])]) ).

fof(c_0_24,plain,
    ! [X119,X120] :
      ( ~ op_and
      | and(X119,X120) = not(or(not(X119),not(X120))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_and])])]) ).

cnf(c_0_25,plain,
    ( implies(X1,X2) = or(not(X1),X2)
    | ~ op_implies_or ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,plain,
    op_implies_or,
    inference(split_conjunct,[status(thm)],[principia_op_implies_or]) ).

fof(c_0_27,plain,
    ! [X121,X122] :
      ( ~ op_implies_and
      | implies(X121,X122) = not(and(X121,not(X122))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_and])])]) ).

fof(c_0_28,plain,
    ! [X117,X118] :
      ( ~ op_or
      | or(X117,X118) = not(and(not(X117),not(X118))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_or])])]) ).

cnf(c_0_29,plain,
    ( and(X1,X2) = not(or(not(X1),not(X2)))
    | ~ op_and ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    or(not(X1),X2) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_31,plain,
    op_and,
    inference(split_conjunct,[status(thm)],[principia_op_and]) ).

cnf(c_0_32,plain,
    ( implies(X1,X2) = not(and(X1,not(X2)))
    | ~ op_implies_and ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,plain,
    op_implies_and,
    inference(split_conjunct,[status(thm)],[hilbert_op_implies_and]) ).

fof(c_0_34,plain,
    ! [X7,X8] :
      ( ( ~ modus_ponens
        | ~ is_a_theorem(X7)
        | ~ is_a_theorem(implies(X7,X8))
        | is_a_theorem(X8) )
      & ( is_a_theorem(esk1_0)
        | modus_ponens )
      & ( is_a_theorem(implies(esk1_0,esk2_0))
        | modus_ponens )
      & ( ~ is_a_theorem(esk2_0)
        | modus_ponens ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[modus_ponens])])])])]) ).

fof(c_0_35,plain,
    ! [X41,X42] :
      ( ( ~ and_3
        | is_a_theorem(implies(X41,implies(X42,and(X41,X42)))) )
      & ( ~ is_a_theorem(implies(esk18_0,implies(esk19_0,and(esk18_0,esk19_0))))
        | and_3 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[and_3])])])]) ).

fof(c_0_36,plain,
    ! [X15,X16] :
      ( ( ~ modus_tollens
        | is_a_theorem(implies(implies(not(X16),not(X15)),implies(X15,X16))) )
      & ( ~ is_a_theorem(implies(implies(not(esk6_0),not(esk5_0)),implies(esk5_0,esk6_0)))
        | modus_tollens ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[modus_tollens])])])]) ).

cnf(c_0_37,plain,
    ( or(X1,X2) = not(and(not(X1),not(X2)))
    | ~ op_or ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    and(X1,X2) = not(implies(X1,not(X2))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_39,plain,
    op_or,
    inference(split_conjunct,[status(thm)],[hilbert_op_or]) ).

cnf(c_0_40,plain,
    not(and(X1,not(X2))) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

fof(c_0_41,plain,
    ! [X11,X12] :
      ( ( ~ substitution_of_equivalents
        | ~ is_a_theorem(equiv(X11,X12))
        | X11 = X12 )
      & ( is_a_theorem(equiv(esk3_0,esk4_0))
        | substitution_of_equivalents )
      & ( esk3_0 != esk4_0
        | substitution_of_equivalents ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[substitution_of_equivalents])])])])]) ).

fof(c_0_42,plain,
    ! [X125,X126] :
      ( ~ op_equiv
      | equiv(X125,X126) = and(implies(X125,X126),implies(X126,X125)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_equiv])])]) ).

cnf(c_0_43,plain,
    ( is_a_theorem(X2)
    | ~ modus_ponens
    | ~ is_a_theorem(X1)
    | ~ is_a_theorem(implies(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,plain,
    modus_ponens,
    inference(split_conjunct,[status(thm)],[hilbert_modus_ponens]) ).

cnf(c_0_45,plain,
    ( is_a_theorem(implies(X1,implies(X2,and(X1,X2))))
    | ~ and_3 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_46,plain,
    and_3,
    inference(split_conjunct,[status(thm)],[hilbert_and_3]) ).

cnf(c_0_47,plain,
    ( is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))
    | ~ modus_tollens ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,plain,
    modus_tollens,
    inference(split_conjunct,[status(thm)],[hilbert_modus_tollens]) ).

cnf(c_0_49,plain,
    not(not(implies(not(X1),not(not(X2))))) = or(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_50,plain,
    not(not(implies(X1,not(not(X2))))) = implies(X1,X2),
    inference(rw,[status(thm)],[c_0_40,c_0_38]) ).

cnf(c_0_51,plain,
    ( X1 = X2
    | ~ substitution_of_equivalents
    | ~ is_a_theorem(equiv(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_52,plain,
    substitution_of_equivalents,
    inference(split_conjunct,[status(thm)],[substitution_of_equivalents_0001]) ).

cnf(c_0_53,plain,
    ( equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1))
    | ~ op_equiv ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_54,plain,
    op_equiv,
    inference(split_conjunct,[status(thm)],[hilbert_op_equiv]) ).

cnf(c_0_55,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(X2,X1))
    | ~ is_a_theorem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_56,plain,
    is_a_theorem(implies(X1,implies(X2,not(implies(X1,not(X2)))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_38]),c_0_46])]) ).

fof(c_0_57,plain,
    ! [X101,X102] :
      ( ( ~ r3
        | is_a_theorem(implies(or(X101,X102),or(X102,X101))) )
      & ( ~ is_a_theorem(implies(or(esk48_0,esk49_0),or(esk49_0,esk48_0)))
        | r3 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r3])])])]) ).

cnf(c_0_58,plain,
    is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).

cnf(c_0_59,plain,
    implies(not(X1),X2) = or(X1,X2),
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_60,plain,
    ( X1 = X2
    | ~ is_a_theorem(equiv(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_61,plain,
    equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).

cnf(c_0_62,plain,
    ( is_a_theorem(implies(X1,not(implies(X2,not(X1)))))
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ r3 ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_64,plain,
    ( r3
    | ~ is_a_theorem(implies(or(esk48_0,esk49_0),or(esk49_0,esk48_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_65,plain,
    is_a_theorem(implies(implies(not(X1),not(not(X2))),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,plain,
    implies(implies(X1,not(not(X2))),X3) = implies(implies(X1,X2),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_30]) ).

fof(c_0_67,plain,
    ! [X27,X28,X29] :
      ( ( ~ implies_3
        | is_a_theorem(implies(implies(X27,X28),implies(implies(X28,X29),implies(X27,X29)))) )
      & ( ~ is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0))))
        | implies_3 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[implies_3])])])]) ).

cnf(c_0_68,plain,
    ( X1 = X2
    | ~ is_a_theorem(not(implies(implies(X1,X2),not(implies(X2,X1))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_38]) ).

cnf(c_0_69,plain,
    ( is_a_theorem(not(implies(X1,not(X2))))
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_62]) ).

cnf(c_0_70,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ is_a_theorem(implies(implies(not(esk48_0),esk49_0),or(esk49_0,esk48_0))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_59]) ).

cnf(c_0_71,plain,
    is_a_theorem(implies(implies(not(X1),X2),or(X2,X1))),
    inference(rw,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_72,plain,
    ! [X111,X112,X113] :
      ( ( ~ r5
        | is_a_theorem(implies(implies(X112,X113),implies(or(X111,X112),or(X111,X113)))) )
      & ( ~ is_a_theorem(implies(implies(esk54_0,esk55_0),implies(or(esk53_0,esk54_0),or(esk53_0,esk55_0))))
        | r5 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r5])])])]) ).

fof(c_0_73,negated_conjecture,
    ~ r5,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[principia_r5])]) ).

cnf(c_0_74,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
    | ~ implies_3 ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_75,plain,
    implies_3,
    inference(split_conjunct,[status(thm)],[hilbert_implies_3]) ).

cnf(c_0_76,plain,
    ( X1 = X2
    | ~ is_a_theorem(implies(X2,X1))
    | ~ is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_77,plain,
    is_a_theorem(implies(or(X1,X2),or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_78,plain,
    ( r5
    | ~ is_a_theorem(implies(implies(esk54_0,esk55_0),implies(or(esk53_0,esk54_0),or(esk53_0,esk55_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    ~ r5,
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_80,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).

cnf(c_0_81,plain,
    or(X1,X2) = or(X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_77])]) ).

cnf(c_0_82,plain,
    ~ is_a_theorem(implies(implies(esk54_0,esk55_0),implies(or(esk53_0,esk54_0),or(esk53_0,esk55_0)))),
    inference(sr,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_83,plain,
    is_a_theorem(implies(or(X1,X2),implies(implies(X2,X3),implies(not(X1),X3)))),
    inference(spm,[status(thm)],[c_0_80,c_0_59]) ).

cnf(c_0_84,plain,
    or(X1,not(X2)) = implies(X2,X1),
    inference(spm,[status(thm)],[c_0_30,c_0_81]) ).

cnf(c_0_85,plain,
    ~ is_a_theorem(implies(implies(esk54_0,esk55_0),implies(implies(not(esk54_0),esk53_0),implies(not(esk55_0),esk53_0)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_81]),c_0_59]),c_0_81]),c_0_59]) ).

cnf(c_0_86,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X3),implies(not(X2),X3)))),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_87,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : LCL458+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.16  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n028.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 12:13:21 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.22/0.52  Running first-order theorem proving
% 0.22/0.52  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.zqOBL0dhWk/E---3.1_10803.p
% 56.06/7.80  # Version: 3.1pre001
% 56.06/7.80  # Preprocessing class: FSMSSLSSSSSNFFN.
% 56.06/7.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.06/7.80  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 56.06/7.80  # Starting new_bool_3 with 300s (1) cores
% 56.06/7.80  # Starting new_bool_1 with 300s (1) cores
% 56.06/7.80  # Starting sh5l with 300s (1) cores
% 56.06/7.80  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 10881 completed with status 0
% 56.06/7.80  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 56.06/7.80  # Preprocessing class: FSMSSLSSSSSNFFN.
% 56.06/7.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.06/7.80  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 56.06/7.80  # No SInE strategy applied
% 56.06/7.80  # Search class: FGUSF-FFMM21-MFFFFFNN
% 56.06/7.80  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 56.06/7.80  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 56.06/7.80  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 56.06/7.80  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 151s (1) cores
% 56.06/7.80  # Starting U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 56.06/7.80  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 151s (1) cores
% 56.06/7.80  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 10893 completed with status 0
% 56.06/7.80  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 56.06/7.80  # Preprocessing class: FSMSSLSSSSSNFFN.
% 56.06/7.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.06/7.80  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 56.06/7.80  # No SInE strategy applied
% 56.06/7.80  # Search class: FGUSF-FFMM21-MFFFFFNN
% 56.06/7.80  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 56.06/7.80  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 56.06/7.80  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 56.06/7.80  # Preprocessing time       : 0.003 s
% 56.06/7.80  # Presaturation interreduction done
% 56.06/7.80  
% 56.06/7.80  # Proof found!
% 56.06/7.80  # SZS status Theorem
% 56.06/7.80  # SZS output start CNFRefutation
% See solution above
% 56.06/7.80  # Parsed axioms                        : 53
% 56.06/7.80  # Removed by relevancy pruning/SinE    : 0
% 56.06/7.80  # Initial clauses                      : 82
% 56.06/7.80  # Removed in clause preprocessing      : 0
% 56.06/7.80  # Initial clauses in saturation        : 82
% 56.06/7.80  # Processed clauses                    : 13266
% 56.06/7.80  # ...of these trivial                  : 992
% 56.06/7.80  # ...subsumed                          : 10779
% 56.06/7.80  # ...remaining for further processing  : 1495
% 56.06/7.80  # Other redundant clauses eliminated   : 0
% 56.06/7.80  # Clauses deleted for lack of memory   : 0
% 56.06/7.80  # Backward-subsumed                    : 40
% 56.06/7.80  # Backward-rewritten                   : 112
% 56.06/7.80  # Generated clauses                    : 774108
% 56.06/7.80  # ...of the previous two non-redundant : 561236
% 56.06/7.80  # ...aggressively subsumed             : 0
% 56.06/7.80  # Contextual simplify-reflections      : 0
% 56.06/7.80  # Paramodulations                      : 774108
% 56.06/7.80  # Factorizations                       : 0
% 56.06/7.80  # NegExts                              : 0
% 56.06/7.80  # Equation resolutions                 : 0
% 56.06/7.80  # Total rewrite steps                  : 775075
% 56.06/7.80  # Propositional unsat checks           : 0
% 56.06/7.80  #    Propositional check models        : 0
% 56.06/7.80  #    Propositional check unsatisfiable : 0
% 56.06/7.80  #    Propositional clauses             : 0
% 56.06/7.80  #    Propositional clauses after purity: 0
% 56.06/7.80  #    Propositional unsat core size     : 0
% 56.06/7.80  #    Propositional preprocessing time  : 0.000
% 56.06/7.80  #    Propositional encoding time       : 0.000
% 56.06/7.80  #    Propositional solver time         : 0.000
% 56.06/7.80  #    Success case prop preproc time    : 0.000
% 56.06/7.80  #    Success case prop encoding time   : 0.000
% 56.06/7.80  #    Success case prop solver time     : 0.000
% 56.06/7.80  # Current number of processed clauses  : 1285
% 56.06/7.80  #    Positive orientable unit clauses  : 394
% 56.06/7.80  #    Positive unorientable unit clauses: 149
% 56.06/7.80  #    Negative unit clauses             : 24
% 56.06/7.80  #    Non-unit-clauses                  : 718
% 56.06/7.80  # Current number of unprocessed clauses: 546105
% 56.06/7.80  # ...number of literals in the above   : 715645
% 56.06/7.80  # Current number of archived formulas  : 0
% 56.06/7.80  # Current number of archived clauses   : 210
% 56.06/7.80  # Clause-clause subsumption calls (NU) : 112940
% 56.06/7.80  # Rec. Clause-clause subsumption calls : 112756
% 56.06/7.80  # Non-unit clause-clause subsumptions  : 6691
% 56.06/7.80  # Unit Clause-clause subsumption calls : 13744
% 56.06/7.80  # Rewrite failures with RHS unbound    : 7554
% 56.06/7.80  # BW rewrite match attempts            : 112395
% 56.06/7.80  # BW rewrite match successes           : 1220
% 56.06/7.80  # Condensation attempts                : 0
% 56.06/7.80  # Condensation successes               : 0
% 56.06/7.80  # Termbank termtop insertions          : 9426222
% 56.06/7.80  
% 56.06/7.80  # -------------------------------------------------
% 56.06/7.80  # User time                : 6.701 s
% 56.06/7.80  # System time              : 0.316 s
% 56.06/7.80  # Total time               : 7.018 s
% 56.06/7.80  # Maximum resident set size: 1996 pages
% 56.06/7.80  
% 56.06/7.80  # -------------------------------------------------
% 56.06/7.80  # User time                : 33.285 s
% 56.06/7.80  # System time              : 1.478 s
% 56.06/7.80  # Total time               : 34.763 s
% 56.06/7.80  # Maximum resident set size: 1720 pages
% 56.06/7.80  % E---3.1 exiting
% 56.06/7.81  % E---3.1 exiting
%------------------------------------------------------------------------------