TSTP Solution File: SET610+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET610+3 : TPTP v8.1.2. Released v2.2.0.
% 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 19:19:55 EDT 2023

% Result   : Theorem 263.97s 34.81s
% Output   : CNFRefutation 263.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   96 (  50 unt;   0 def)
%            Number of atoms       :  176 (  29 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  128 (  48   ~;  63   |;  11   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  267 (  47 sgn;  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(difference_defn,axiom,
    ! [X1,X2,X3] :
      ( member(X3,difference(X1,X2))
    <=> ( member(X3,X1)
        & ~ member(X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YEfBT330iQ/E---3.1_10806.p',difference_defn) ).

fof(subset_defn,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YEfBT330iQ/E---3.1_10806.p',subset_defn) ).

fof(equal_defn,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YEfBT330iQ/E---3.1_10806.p',equal_defn) ).

fof(union_defn,axiom,
    ! [X1,X2,X3] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YEfBT330iQ/E---3.1_10806.p',union_defn) ).

fof(commutativity_of_union,axiom,
    ! [X1,X2] : union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.YEfBT330iQ/E---3.1_10806.p',commutativity_of_union) ).

fof(prove_th83,conjecture,
    ! [X1,X2] : difference(union(X1,X2),X2) = difference(X1,X2),
    file('/export/starexec/sandbox/tmp/tmp.YEfBT330iQ/E---3.1_10806.p',prove_th83) ).

fof(c_0_6,plain,
    ! [X1,X2,X3] :
      ( member(X3,difference(X1,X2))
    <=> ( member(X3,X1)
        & ~ member(X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[difference_defn]) ).

fof(c_0_7,plain,
    ! [X6,X7,X8] :
      ( ( member(X8,X6)
        | ~ member(X8,difference(X6,X7)) )
      & ( ~ member(X8,X7)
        | ~ member(X8,difference(X6,X7)) )
      & ( ~ member(X8,X6)
        | member(X8,X7)
        | member(X8,difference(X6,X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_8,plain,
    ! [X24,X25,X26,X27,X28] :
      ( ( ~ subset(X24,X25)
        | ~ member(X26,X24)
        | member(X26,X25) )
      & ( member(esk5_2(X27,X28),X27)
        | subset(X27,X28) )
      & ( ~ member(esk5_2(X27,X28),X28)
        | subset(X27,X28) ) ),
    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)],[subset_defn])])])])])]) ).

cnf(c_0_9,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( member(esk5_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X30,X31] :
      ( ( subset(X30,X31)
        | X30 != X31 )
      & ( subset(X31,X30)
        | X30 != X31 )
      & ( ~ subset(X30,X31)
        | ~ subset(X31,X30)
        | X30 = X31 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])]) ).

cnf(c_0_12,plain,
    ( subset(X1,X2)
    | ~ member(esk5_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( subset(difference(X1,X2),X3)
    | member(esk5_2(difference(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    subset(difference(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( subset(difference(X1,X2),X3)
    | ~ member(esk5_2(difference(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_10]) ).

cnf(c_0_18,plain,
    ( difference(X1,X2) = X1
    | ~ subset(X1,difference(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    subset(difference(X1,X1),X2),
    inference(spm,[status(thm)],[c_0_17,c_0_13]) ).

cnf(c_0_20,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,plain,
    ( member(X1,X3)
    | member(X1,difference(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_22,plain,
    ! [X9,X10,X11] :
      ( ( ~ member(X11,union(X9,X10))
        | member(X11,X9)
        | member(X11,X10) )
      & ( ~ member(X11,X9)
        | member(X11,union(X9,X10)) )
      & ( ~ member(X11,X10)
        | member(X11,union(X9,X10)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])]) ).

cnf(c_0_23,plain,
    difference(difference(X1,X1),X2) = difference(X1,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X3,X3)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_19]) ).

cnf(c_0_25,plain,
    ( subset(X1,difference(X2,X3))
    | member(esk5_2(X1,difference(X2,X3)),X3)
    | ~ member(esk5_2(X1,difference(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_21]) ).

cnf(c_0_26,plain,
    ( member(X1,union(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ~ member(X1,difference(X2,X2)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_23]),c_0_24]) ).

cnf(c_0_30,plain,
    ( subset(X1,difference(X1,X2))
    | member(esk5_2(X1,difference(X1,X2)),X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_10]) ).

cnf(c_0_31,plain,
    ( subset(difference(X1,union(X2,X3)),X4)
    | ~ member(esk5_2(difference(X1,union(X2,X3)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_26]) ).

cnf(c_0_32,plain,
    ( subset(difference(difference(X1,X2),X3),X4)
    | member(esk5_2(difference(difference(X1,X2),X3),X4),X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_13]) ).

cnf(c_0_33,plain,
    ( subset(difference(difference(X1,X2),X3),X4)
    | ~ member(esk5_2(difference(difference(X1,X2),X3),X4),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_34,plain,
    ( subset(difference(X1,difference(X2,X3)),X4)
    | member(esk5_2(difference(X1,difference(X2,X3)),X4),X3)
    | ~ member(esk5_2(difference(X1,difference(X2,X3)),X4),X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_21]) ).

cnf(c_0_35,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk5_2(X1,union(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_26]) ).

cnf(c_0_36,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk5_2(X1,union(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_27]) ).

cnf(c_0_37,plain,
    ( subset(difference(union(X1,X2),X3),X4)
    | member(esk5_2(difference(union(X1,X2),X3),X4),X1)
    | member(esk5_2(difference(union(X1,X2),X3),X4),X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_13]) ).

cnf(c_0_38,plain,
    subset(X1,difference(X1,difference(X2,X2))),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,plain,
    subset(difference(difference(X1,X2),union(X3,X1)),X4),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_40,plain,
    subset(difference(difference(X1,X2),X3),X1),
    inference(spm,[status(thm)],[c_0_12,c_0_32]) ).

cnf(c_0_41,plain,
    ( subset(union(X1,X2),X3)
    | member(esk5_2(union(X1,X2),X3),X1)
    | member(esk5_2(union(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_10]) ).

cnf(c_0_42,plain,
    ( subset(difference(difference(X1,union(X2,X3)),X4),X5)
    | ~ member(esk5_2(difference(difference(X1,union(X2,X3)),X4),X5),X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_26]) ).

cnf(c_0_43,plain,
    ( subset(difference(difference(X1,X2),difference(X1,X3)),X4)
    | member(esk5_2(difference(difference(X1,X2),difference(X1,X3)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_34,c_0_32]) ).

cnf(c_0_44,plain,
    ( subset(X1,union(X2,union(X3,X4)))
    | ~ member(esk5_2(X1,union(X2,union(X3,X4))),X4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_26]) ).

cnf(c_0_45,plain,
    ( subset(difference(union(X1,X2),X3),union(X2,X4))
    | member(esk5_2(difference(union(X1,X2),X3),union(X2,X4)),X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_46,plain,
    difference(X1,difference(X2,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_38]),c_0_16])]) ).

cnf(c_0_47,plain,
    difference(difference(difference(X1,X2),union(X3,X1)),X4) = difference(difference(X1,X2),union(X3,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_39]) ).

cnf(c_0_48,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(difference(X2,X3),X4)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_40]) ).

cnf(c_0_49,plain,
    ( subset(union(X1,X2),X2)
    | member(esk5_2(union(X1,X2),X2),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_41]) ).

fof(c_0_50,plain,
    ! [X12,X13] : union(X12,X13) = union(X13,X12),
    inference(variable_rename,[status(thm)],[commutativity_of_union]) ).

cnf(c_0_51,plain,
    ( X1 = difference(X2,X2)
    | ~ subset(X1,difference(X2,X2)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_19]) ).

cnf(c_0_52,plain,
    subset(difference(difference(X1,union(X2,X3)),difference(X1,X3)),X4),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_53,plain,
    subset(difference(union(X1,X2),X3),union(X2,union(X4,X1))),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_54,plain,
    difference(X1,difference(difference(X2,X3),union(X4,X2))) = X1,
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_55,plain,
    ( subset(X1,union(X2,difference(X3,X4)))
    | member(esk5_2(X1,union(X2,difference(X3,X4))),X4)
    | ~ member(esk5_2(X1,union(X2,difference(X3,X4))),X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_21]) ).

cnf(c_0_56,plain,
    ( subset(union(difference(difference(X1,X2),X3),X4),X4)
    | member(esk5_2(union(difference(difference(X1,X2),X3),X4),X4),X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_57,plain,
    union(X1,X2) = union(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_58,plain,
    difference(difference(X1,union(X2,X3)),difference(X1,X3)) = difference(X4,X4),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    subset(union(difference(X1,X1),X2),X2),
    inference(spm,[status(thm)],[c_0_29,c_0_49]) ).

cnf(c_0_60,plain,
    subset(X1,union(X2,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_10]) ).

cnf(c_0_61,plain,
    subset(union(X1,X2),union(X2,union(X3,X1))),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_62,plain,
    ( subset(union(X1,union(X2,difference(X1,X3))),union(X2,difference(X1,X3)))
    | member(esk5_2(union(X1,union(X2,difference(X1,X3))),union(X2,difference(X1,X3))),X3) ),
    inference(spm,[status(thm)],[c_0_55,c_0_49]) ).

cnf(c_0_63,plain,
    subset(union(X1,difference(difference(X1,X2),X3)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_56]),c_0_57]) ).

cnf(c_0_64,plain,
    difference(X1,difference(difference(X2,union(X3,X4)),difference(X2,X4))) = X1,
    inference(spm,[status(thm)],[c_0_46,c_0_58]) ).

cnf(c_0_65,plain,
    subset(difference(X1,X2),union(X3,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_13]) ).

cnf(c_0_66,plain,
    union(difference(X1,X1),X2) = X2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_59]),c_0_60])]) ).

cnf(c_0_67,plain,
    subset(union(X1,X2),union(X2,union(X1,X3))),
    inference(spm,[status(thm)],[c_0_61,c_0_57]) ).

cnf(c_0_68,plain,
    subset(union(X1,union(X2,difference(X1,X2))),union(X2,difference(X1,X2))),
    inference(spm,[status(thm)],[c_0_36,c_0_62]) ).

cnf(c_0_69,plain,
    subset(union(X1,X2),union(union(X3,X1),X2)),
    inference(spm,[status(thm)],[c_0_61,c_0_57]) ).

cnf(c_0_70,plain,
    subset(union(X1,difference(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,plain,
    subset(X1,union(X1,X2)),
    inference(spm,[status(thm)],[c_0_60,c_0_57]) ).

cnf(c_0_72,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,difference(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_65]) ).

cnf(c_0_73,plain,
    union(X1,difference(X2,X2)) = X1,
    inference(spm,[status(thm)],[c_0_57,c_0_66]) ).

cnf(c_0_74,plain,
    subset(union(X1,X2),union(X1,union(X2,X3))),
    inference(spm,[status(thm)],[c_0_67,c_0_57]) ).

cnf(c_0_75,plain,
    union(X1,union(X2,difference(X1,X2))) = union(X2,difference(X1,X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_68]),c_0_60])]) ).

cnf(c_0_76,plain,
    subset(union(X1,X2),union(union(X3,X2),X1)),
    inference(spm,[status(thm)],[c_0_69,c_0_57]) ).

cnf(c_0_77,plain,
    union(X1,difference(X1,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_70]),c_0_71])]) ).

cnf(c_0_78,plain,
    ( subset(difference(X1,X2),X3)
    | member(esk5_2(difference(X1,X2),X3),union(X4,X1)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_10]) ).

cnf(c_0_79,plain,
    subset(difference(union(X1,X2),X1),union(X2,X3)),
    inference(spm,[status(thm)],[c_0_17,c_0_45]) ).

cnf(c_0_80,plain,
    union(X1,difference(difference(X2,X3),union(X4,X2))) = X1,
    inference(spm,[status(thm)],[c_0_73,c_0_47]) ).

cnf(c_0_81,plain,
    subset(union(X1,X2),union(X2,difference(X1,X2))),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_82,plain,
    subset(union(X1,difference(X2,X3)),union(X2,X1)),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_83,plain,
    ( subset(difference(X1,X2),difference(union(X3,X1),X4))
    | member(esk5_2(difference(X1,X2),difference(union(X3,X1),X4)),X4) ),
    inference(spm,[status(thm)],[c_0_25,c_0_78]) ).

fof(c_0_84,negated_conjecture,
    ~ ! [X1,X2] : difference(union(X1,X2),X2) = difference(X1,X2),
    inference(assume_negation,[status(cth)],[prove_th83]) ).

cnf(c_0_85,plain,
    subset(difference(union(X1,X2),X1),X2),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,plain,
    union(X1,difference(X2,X1)) = union(X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_81]),c_0_82])]) ).

cnf(c_0_87,plain,
    subset(difference(X1,X2),difference(union(X3,X1),X2)),
    inference(spm,[status(thm)],[c_0_17,c_0_83]) ).

fof(c_0_88,negated_conjecture,
    difference(union(esk1_0,esk2_0),esk2_0) != difference(esk1_0,esk2_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])]) ).

cnf(c_0_89,plain,
    subset(difference(union(X1,X2),X2),difference(X1,X2)),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,plain,
    subset(difference(X1,X2),difference(union(X1,X3),X2)),
    inference(spm,[status(thm)],[c_0_87,c_0_57]) ).

cnf(c_0_91,negated_conjecture,
    difference(union(esk1_0,esk2_0),esk2_0) != difference(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_92,plain,
    difference(union(X1,X2),X2) = difference(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_89]),c_0_90])]) ).

cnf(c_0_93,negated_conjecture,
    difference(union(esk2_0,esk1_0),esk2_0) != difference(esk1_0,esk2_0),
    inference(rw,[status(thm)],[c_0_91,c_0_57]) ).

cnf(c_0_94,plain,
    difference(union(X1,X2),X1) = difference(X2,X1),
    inference(spm,[status(thm)],[c_0_92,c_0_57]) ).

cnf(c_0_95,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SET610+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.13/0.32  % Computer : n026.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 2400
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon Oct  2 17:32:14 EDT 2023
% 0.13/0.32  % CPUTime    : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.YEfBT330iQ/E---3.1_10806.p
% 263.97/34.81  # Version: 3.1pre001
% 263.97/34.81  # Preprocessing class: FSMSSMSSSSSNFFN.
% 263.97/34.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 263.97/34.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 263.97/34.81  # Starting new_bool_3 with 300s (1) cores
% 263.97/34.81  # Starting new_bool_1 with 300s (1) cores
% 263.97/34.81  # Starting sh5l with 300s (1) cores
% 263.97/34.81  # sh5l with pid 10887 completed with status 0
% 263.97/34.81  # Result found by sh5l
% 263.97/34.81  # Preprocessing class: FSMSSMSSSSSNFFN.
% 263.97/34.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 263.97/34.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 263.97/34.81  # Starting new_bool_3 with 300s (1) cores
% 263.97/34.81  # Starting new_bool_1 with 300s (1) cores
% 263.97/34.81  # Starting sh5l with 300s (1) cores
% 263.97/34.81  # SinE strategy is gf500_gu_R04_F100_L20000
% 263.97/34.81  # Search class: FGHSS-FFSF22-SFFFFFNN
% 263.97/34.81  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 263.97/34.81  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 263.97/34.81  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 10895 completed with status 0
% 263.97/34.81  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 263.97/34.81  # Preprocessing class: FSMSSMSSSSSNFFN.
% 263.97/34.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 263.97/34.81  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 263.97/34.81  # Starting new_bool_3 with 300s (1) cores
% 263.97/34.81  # Starting new_bool_1 with 300s (1) cores
% 263.97/34.81  # Starting sh5l with 300s (1) cores
% 263.97/34.81  # SinE strategy is gf500_gu_R04_F100_L20000
% 263.97/34.81  # Search class: FGHSS-FFSF22-SFFFFFNN
% 263.97/34.81  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 263.97/34.81  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 263.97/34.81  # Preprocessing time       : 0.001 s
% 263.97/34.81  # Presaturation interreduction done
% 263.97/34.81  
% 263.97/34.81  # Proof found!
% 263.97/34.81  # SZS status Theorem
% 263.97/34.81  # SZS output start CNFRefutation
% See solution above
% 263.97/34.81  # Parsed axioms                        : 9
% 263.97/34.81  # Removed by relevancy pruning/SinE    : 0
% 263.97/34.81  # Initial clauses                      : 21
% 263.97/34.81  # Removed in clause preprocessing      : 2
% 263.97/34.81  # Initial clauses in saturation        : 19
% 263.97/34.81  # Processed clauses                    : 118350
% 263.97/34.81  # ...of these trivial                  : 16776
% 263.97/34.81  # ...subsumed                          : 97325
% 263.97/34.81  # ...remaining for further processing  : 4249
% 263.97/34.81  # Other redundant clauses eliminated   : 2
% 263.97/34.81  # Clauses deleted for lack of memory   : 0
% 263.97/34.81  # Backward-subsumed                    : 18
% 263.97/34.81  # Backward-rewritten                   : 225
% 263.97/34.81  # Generated clauses                    : 3521994
% 263.97/34.81  # ...of the previous two non-redundant : 1811079
% 263.97/34.81  # ...aggressively subsumed             : 0
% 263.97/34.81  # Contextual simplify-reflections      : 21
% 263.97/34.81  # Paramodulations                      : 3519820
% 263.97/34.81  # Factorizations                       : 2172
% 263.97/34.81  # NegExts                              : 0
% 263.97/34.81  # Equation resolutions                 : 2
% 263.97/34.81  # Total rewrite steps                  : 3561757
% 263.97/34.81  # Propositional unsat checks           : 0
% 263.97/34.81  #    Propositional check models        : 0
% 263.97/34.81  #    Propositional check unsatisfiable : 0
% 263.97/34.81  #    Propositional clauses             : 0
% 263.97/34.81  #    Propositional clauses after purity: 0
% 263.97/34.81  #    Propositional unsat core size     : 0
% 263.97/34.81  #    Propositional preprocessing time  : 0.000
% 263.97/34.81  #    Propositional encoding time       : 0.000
% 263.97/34.81  #    Propositional solver time         : 0.000
% 263.97/34.81  #    Success case prop preproc time    : 0.000
% 263.97/34.81  #    Success case prop encoding time   : 0.000
% 263.97/34.81  #    Success case prop solver time     : 0.000
% 263.97/34.81  # Current number of processed clauses  : 3987
% 263.97/34.81  #    Positive orientable unit clauses  : 2491
% 263.97/34.81  #    Positive unorientable unit clauses: 73
% 263.97/34.81  #    Negative unit clauses             : 30
% 263.97/34.81  #    Non-unit-clauses                  : 1393
% 263.97/34.81  # Current number of unprocessed clauses: 1689022
% 263.97/34.81  # ...number of literals in the above   : 4454434
% 263.97/34.81  # Current number of archived formulas  : 0
% 263.97/34.81  # Current number of archived clauses   : 260
% 263.97/34.81  # Clause-clause subsumption calls (NU) : 1137834
% 263.97/34.81  # Rec. Clause-clause subsumption calls : 328355
% 263.97/34.81  # Non-unit clause-clause subsumptions  : 36495
% 263.97/34.81  # Unit Clause-clause subsumption calls : 470721
% 263.97/34.81  # Rewrite failures with RHS unbound    : 13053
% 263.97/34.81  # BW rewrite match attempts            : 256657
% 263.97/34.81  # BW rewrite match successes           : 660
% 263.97/34.81  # Condensation attempts                : 0
% 263.97/34.81  # Condensation successes               : 0
% 263.97/34.81  # Termbank termtop insertions          : 42899212
% 263.97/34.81  
% 263.97/34.81  # -------------------------------------------------
% 263.97/34.81  # User time                : 32.382 s
% 263.97/34.81  # System time              : 1.080 s
% 263.97/34.81  # Total time               : 33.462 s
% 263.97/34.81  # Maximum resident set size: 1708 pages
% 263.97/34.81  
% 263.97/34.81  # -------------------------------------------------
% 263.97/34.81  # User time                : 32.382 s
% 263.97/34.81  # System time              : 1.083 s
% 263.97/34.81  # Total time               : 33.465 s
% 263.97/34.81  # Maximum resident set size: 1680 pages
% 263.97/34.81  % E---3.1 exiting
% 263.97/34.81  % E---3.1 exiting
%------------------------------------------------------------------------------