TSTP Solution File: SET608+3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SET608+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : Tue May 21 02:58:52 EDT 2024

% Result   : Theorem 241.29s 31.01s
% Output   : CNFRefutation 241.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  195 ( 126 unt;   0 def)
%            Number of atoms       :  307 (  79 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  176 (  64   ~;  91   |;  14   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :  555 ( 101 sgn  45   !;   0   ?)

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

fof(subset_defn,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).

fof(intersection_defn,axiom,
    ! [X1,X2,X3] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).

fof(equal_defn,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.p',union_defn) ).

fof(commutativity_of_intersection,axiom,
    ! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).

fof(commutativity_of_union,axiom,
    ! [X1,X2] : union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).

fof(prove_union_intersection_difference,conjecture,
    ! [X1,X2] : union(intersection(X1,X2),difference(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_union_intersection_difference) ).

fof(c_0_8,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_9,plain,
    ! [X10,X11,X12] :
      ( ( member(X12,X10)
        | ~ member(X12,difference(X10,X11)) )
      & ( ~ member(X12,X11)
        | ~ member(X12,difference(X10,X11)) )
      & ( ~ member(X12,X10)
        | member(X12,X11)
        | member(X12,difference(X10,X11)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_10,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ( ~ subset(X19,X20)
        | ~ member(X21,X19)
        | member(X21,X20) )
      & ( member(esk1_2(X22,X23),X22)
        | subset(X22,X23) )
      & ( ~ member(esk1_2(X22,X23),X23)
        | subset(X22,X23) ) ),
    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)],[subset_defn])])])])])])]) ).

fof(c_0_11,plain,
    ! [X7,X8,X9] :
      ( ( member(X9,X7)
        | ~ member(X9,intersection(X7,X8)) )
      & ( member(X9,X8)
        | ~ member(X9,intersection(X7,X8)) )
      & ( ~ member(X9,X7)
        | ~ member(X9,X8)
        | member(X9,intersection(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection_defn])])])]) ).

cnf(c_0_12,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( member(esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_17,plain,
    ! [X13,X14] :
      ( ( subset(X13,X14)
        | X13 != X14 )
      & ( subset(X14,X13)
        | X13 != X14 )
      & ( ~ subset(X13,X14)
        | ~ subset(X14,X13)
        | X13 = X14 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])])]) ).

cnf(c_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,plain,
    ( subset(difference(X1,X2),X3)
    | member(esk1_2(difference(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_20,plain,
    ( subset(difference(X1,X2),X3)
    | ~ member(esk1_2(difference(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_21,plain,
    ( subset(intersection(X1,X2),X3)
    | member(esk1_2(intersection(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_13]) ).

cnf(c_0_22,plain,
    ( subset(intersection(X1,X2),X3)
    | member(esk1_2(intersection(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_13]) ).

cnf(c_0_23,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    subset(difference(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    subset(difference(X1,X1),X2),
    inference(spm,[status(thm)],[c_0_20,c_0_19]) ).

cnf(c_0_26,plain,
    ( subset(intersection(X1,difference(X2,X3)),X4)
    | ~ member(esk1_2(intersection(X1,difference(X2,X3)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_14,c_0_21]) ).

cnf(c_0_27,plain,
    ( subset(intersection(intersection(X1,X2),X3),X4)
    | member(esk1_2(intersection(intersection(X1,X2),X3),X4),X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_22]) ).

cnf(c_0_28,plain,
    ( difference(X1,X2) = X1
    | ~ subset(X1,difference(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,plain,
    ( member(X1,X3)
    | member(X1,difference(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_31,plain,
    ( X1 = difference(X2,X2)
    | ~ subset(X1,difference(X2,X2)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_25]) ).

cnf(c_0_32,plain,
    subset(intersection(intersection(X1,X2),difference(X3,X2)),X4),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,plain,
    difference(difference(X1,X1),X2) = difference(X1,X1),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

cnf(c_0_34,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X3,X3)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_35,plain,
    ( subset(X1,difference(X2,X3))
    | member(esk1_2(X1,difference(X2,X3)),X3)
    | ~ member(esk1_2(X1,difference(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_30]) ).

cnf(c_0_36,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X2)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_37,plain,
    intersection(intersection(X1,X2),difference(X3,X2)) = difference(X4,X4),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,plain,
    ~ member(X1,difference(X2,X2)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_33]),c_0_34]) ).

cnf(c_0_39,plain,
    ( subset(X1,difference(X1,X2))
    | member(esk1_2(X1,difference(X1,X2)),X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_13]) ).

cnf(c_0_40,plain,
    ( subset(difference(difference(X1,X2),X3),X4)
    | member(esk1_2(difference(difference(X1,X2),X3),X4),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_19]) ).

fof(c_0_41,plain,
    ! [X4,X5,X6] :
      ( ( ~ member(X6,union(X4,X5))
        | member(X6,X4)
        | member(X6,X5) )
      & ( ~ member(X6,X4)
        | member(X6,union(X4,X5)) )
      & ( ~ member(X6,X5)
        | member(X6,union(X4,X5)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])])]) ).

cnf(c_0_42,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,intersection(X4,X3)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_43,plain,
    subset(X1,difference(X1,difference(X2,X2))),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    subset(difference(difference(X1,X2),X1),X3),
    inference(spm,[status(thm)],[c_0_20,c_0_40]) ).

cnf(c_0_45,plain,
    ( member(X1,union(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_46,plain,
    ( subset(difference(difference(X1,X2),X3),X4)
    | ~ member(esk1_2(difference(difference(X1,X2),X3),X4),intersection(X5,X2)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_19]) ).

cnf(c_0_47,plain,
    ( subset(difference(difference(X1,X2),X3),difference(X1,X4))
    | member(esk1_2(difference(difference(X1,X2),X3),difference(X1,X4)),X4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_40]) ).

cnf(c_0_48,plain,
    difference(X1,difference(X2,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_43]),c_0_24])]) ).

cnf(c_0_49,plain,
    difference(difference(difference(X1,X2),X1),X3) = difference(difference(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_28,c_0_44]) ).

cnf(c_0_50,plain,
    ( subset(difference(intersection(X1,X2),X3),X4)
    | member(esk1_2(difference(intersection(X1,X2),X3),X4),X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_19]) ).

cnf(c_0_51,plain,
    ( subset(difference(X1,union(X2,X3)),X4)
    | ~ member(esk1_2(difference(X1,union(X2,X3)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_20,c_0_45]) ).

fof(c_0_52,plain,
    ! [X17,X18] : intersection(X17,X18) = intersection(X18,X17),
    inference(variable_rename,[status(thm)],[commutativity_of_intersection]) ).

cnf(c_0_53,plain,
    ( subset(difference(X1,intersection(X2,X3)),X4)
    | ~ member(esk1_2(difference(X1,intersection(X2,X3)),X4),X3)
    | ~ member(esk1_2(difference(X1,intersection(X2,X3)),X4),X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_36]) ).

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

cnf(c_0_55,plain,
    difference(X1,difference(difference(X2,X3),X2)) = X1,
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,plain,
    ( subset(X1,intersection(X2,X3))
    | ~ member(esk1_2(X1,intersection(X2,X3)),X3)
    | ~ member(esk1_2(X1,intersection(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_36]) ).

cnf(c_0_57,plain,
    ( subset(difference(X1,difference(X2,X3)),X4)
    | member(esk1_2(difference(X1,difference(X2,X3)),X4),X3)
    | ~ member(esk1_2(difference(X1,difference(X2,X3)),X4),X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_30]) ).

cnf(c_0_58,plain,
    subset(difference(intersection(X1,X2),X1),X3),
    inference(spm,[status(thm)],[c_0_20,c_0_50]) ).

cnf(c_0_59,plain,
    subset(difference(X1,union(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_51,c_0_19]) ).

cnf(c_0_60,plain,
    ( subset(intersection(difference(X1,X2),X3),X4)
    | ~ member(esk1_2(intersection(difference(X1,X2),X3),X4),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_22]) ).

cnf(c_0_61,plain,
    intersection(X1,X2) = intersection(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_62,plain,
    ( subset(difference(X1,intersection(X2,X1)),X3)
    | ~ member(esk1_2(difference(X1,intersection(X2,X1)),X3),X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_19]) ).

cnf(c_0_63,plain,
    ( subset(difference(X1,X2),difference(X1,X3))
    | member(esk1_2(difference(X1,X2),difference(X1,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_19]) ).

cnf(c_0_64,plain,
    subset(difference(X1,X2),difference(X1,intersection(X3,X2))),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_65,plain,
    ( subset(difference(X1,X2),intersection(X3,X1))
    | ~ member(esk1_2(difference(X1,X2),intersection(X3,X1)),X3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_19]) ).

cnf(c_0_66,plain,
    ( subset(difference(X1,difference(X1,X2)),X3)
    | member(esk1_2(difference(X1,difference(X1,X2)),X3),X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_19]) ).

cnf(c_0_67,plain,
    difference(difference(intersection(X1,X2),X1),X3) = difference(intersection(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_28,c_0_58]) ).

cnf(c_0_68,plain,
    difference(X1,union(X2,X1)) = difference(X3,X3),
    inference(spm,[status(thm)],[c_0_31,c_0_59]) ).

cnf(c_0_69,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_70,plain,
    subset(intersection(X1,difference(X2,X1)),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_21]),c_0_61]) ).

cnf(c_0_71,plain,
    subset(difference(X1,intersection(X2,X1)),difference(X1,X2)),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_72,plain,
    subset(difference(X1,X2),difference(X1,intersection(X2,X3))),
    inference(spm,[status(thm)],[c_0_64,c_0_61]) ).

cnf(c_0_73,plain,
    subset(difference(X1,difference(X1,X2)),intersection(X2,X1)),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_74,plain,
    difference(X1,union(X2,X1)) = difference(intersection(X3,X4),X3),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,plain,
    difference(X1,difference(intersection(X2,X3),X2)) = X1,
    inference(spm,[status(thm)],[c_0_48,c_0_67]) ).

cnf(c_0_76,plain,
    ( subset(intersection(difference(X1,X2),X3),X4)
    | member(esk1_2(intersection(difference(X1,X2),X3),X4),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_22]) ).

cnf(c_0_77,plain,
    ( subset(intersection(X1,union(X2,X3)),X4)
    | member(esk1_2(intersection(X1,union(X2,X3)),X4),X2)
    | member(esk1_2(intersection(X1,union(X2,X3)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_69,c_0_21]) ).

cnf(c_0_78,plain,
    difference(intersection(X1,difference(X2,X1)),X3) = intersection(X1,difference(X2,X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_70]) ).

cnf(c_0_79,plain,
    difference(X1,intersection(X2,X1)) = difference(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_71]),c_0_72])]) ).

cnf(c_0_80,plain,
    subset(X1,intersection(X1,union(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_61]) ).

cnf(c_0_81,plain,
    subset(intersection(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_18,c_0_22]) ).

fof(c_0_82,plain,
    ! [X15,X16] : union(X15,X16) = union(X16,X15),
    inference(variable_rename,[status(thm)],[commutativity_of_union]) ).

cnf(c_0_83,plain,
    ( subset(intersection(difference(X1,X2),X3),intersection(X4,X1))
    | ~ member(esk1_2(intersection(difference(X1,X2),X3),intersection(X4,X1)),X4) ),
    inference(spm,[status(thm)],[c_0_56,c_0_76]) ).

cnf(c_0_84,plain,
    ( subset(intersection(difference(X1,X2),union(X3,X2)),X4)
    | member(esk1_2(intersection(difference(X1,X2),union(X3,X2)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_77]) ).

cnf(c_0_85,plain,
    difference(X1,intersection(X2,difference(X3,X2))) = X1,
    inference(spm,[status(thm)],[c_0_48,c_0_78]) ).

cnf(c_0_86,plain,
    difference(X1,intersection(X1,X2)) = difference(X1,X2),
    inference(spm,[status(thm)],[c_0_79,c_0_61]) ).

cnf(c_0_87,plain,
    ( subset(intersection(intersection(X1,X2),X3),intersection(X4,X2))
    | ~ member(esk1_2(intersection(intersection(X1,X2),X3),intersection(X4,X2)),X4) ),
    inference(spm,[status(thm)],[c_0_56,c_0_27]) ).

cnf(c_0_88,plain,
    intersection(X1,union(X2,X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_80]),c_0_81])]) ).

cnf(c_0_89,plain,
    union(X1,X2) = union(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_90,plain,
    subset(intersection(difference(X1,X2),union(X3,X2)),intersection(X3,X1)),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_91,plain,
    difference(X1,difference(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_92,plain,
    subset(intersection(intersection(X1,X2),X3),intersection(X3,X2)),
    inference(spm,[status(thm)],[c_0_87,c_0_21]) ).

cnf(c_0_93,plain,
    intersection(X1,union(X1,X2)) = X1,
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_94,plain,
    subset(intersection(X1,union(X2,difference(X3,X1))),intersection(X2,X1)),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_95,plain,
    subset(intersection(X1,X2),intersection(X2,union(X1,X3))),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_96,plain,
    intersection(X1,union(X2,difference(X3,X1))) = intersection(X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_94]),c_0_95])]) ).

cnf(c_0_97,plain,
    ( subset(difference(difference(union(X1,X2),X3),X4),X5)
    | member(esk1_2(difference(difference(union(X1,X2),X3),X4),X5),X1)
    | member(esk1_2(difference(difference(union(X1,X2),X3),X4),X5),X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_40]) ).

cnf(c_0_98,plain,
    subset(difference(X1,X2),intersection(X1,difference(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_13]),c_0_61]) ).

cnf(c_0_99,plain,
    subset(intersection(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_18,c_0_21]) ).

cnf(c_0_100,plain,
    intersection(difference(X1,X2),union(X3,X2)) = intersection(X3,difference(X1,X2)),
    inference(spm,[status(thm)],[c_0_96,c_0_91]) ).

cnf(c_0_101,plain,
    ( subset(difference(intersection(X1,X2),X3),X4)
    | member(esk1_2(difference(intersection(X1,X2),X3),X4),X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_19]) ).

cnf(c_0_102,plain,
    ( subset(difference(difference(union(X1,X2),X3),X2),X4)
    | member(esk1_2(difference(difference(union(X1,X2),X3),X2),X4),X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_97]) ).

cnf(c_0_103,plain,
    subset(difference(X1,X2),difference(difference(X1,X2),X2)),
    inference(spm,[status(thm)],[c_0_20,c_0_39]) ).

cnf(c_0_104,plain,
    subset(difference(X1,X2),intersection(X1,X1)),
    inference(spm,[status(thm)],[c_0_65,c_0_19]) ).

cnf(c_0_105,plain,
    ( subset(intersection(X1,X2),difference(X1,X3))
    | member(esk1_2(intersection(X1,X2),difference(X1,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_22]) ).

cnf(c_0_106,plain,
    intersection(X1,difference(X1,X2)) = difference(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_98]),c_0_99])]) ).

cnf(c_0_107,plain,
    intersection(union(X1,X2),difference(X3,X2)) = intersection(X1,difference(X3,X2)),
    inference(spm,[status(thm)],[c_0_61,c_0_100]) ).

cnf(c_0_108,plain,
    ( subset(difference(intersection(X1,X2),X3),difference(X2,X4))
    | member(esk1_2(difference(intersection(X1,X2),X3),difference(X2,X4)),X4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_101]) ).

cnf(c_0_109,plain,
    subset(difference(difference(union(intersection(X1,X2),X3),X2),X3),X4),
    inference(spm,[status(thm)],[c_0_46,c_0_102]) ).

cnf(c_0_110,plain,
    difference(difference(X1,X2),X2) = difference(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_103]),c_0_24])]) ).

cnf(c_0_111,plain,
    ( subset(difference(intersection(X1,X2),difference(X2,X3)),X4)
    | member(esk1_2(difference(intersection(X1,X2),difference(X2,X3)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_57,c_0_101]) ).

cnf(c_0_112,plain,
    subset(X1,intersection(X1,X1)),
    inference(spm,[status(thm)],[c_0_104,c_0_55]) ).

cnf(c_0_113,plain,
    subset(intersection(X1,difference(X2,X3)),difference(X1,X3)),
    inference(spm,[status(thm)],[c_0_26,c_0_105]) ).

cnf(c_0_114,plain,
    intersection(X1,difference(union(X1,X2),X2)) = difference(union(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_115,plain,
    subset(difference(intersection(X1,X2),X3),difference(X2,X3)),
    inference(spm,[status(thm)],[c_0_20,c_0_108]) ).

cnf(c_0_116,plain,
    subset(difference(union(X1,intersection(X2,X1)),X1),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_89]) ).

cnf(c_0_117,plain,
    subset(difference(intersection(X1,X2),difference(X2,X3)),X3),
    inference(spm,[status(thm)],[c_0_18,c_0_111]) ).

cnf(c_0_118,plain,
    intersection(X1,X1) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_112]),c_0_81])]) ).

cnf(c_0_119,plain,
    subset(difference(union(X1,X2),X2),difference(X1,X2)),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_120,plain,
    subset(difference(X1,X2),difference(union(X1,X3),X2)),
    inference(spm,[status(thm)],[c_0_115,c_0_93]) ).

cnf(c_0_121,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk1_2(X1,union(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_45]) ).

cnf(c_0_122,plain,
    ( subset(difference(intersection(X1,X2),X3),intersection(X4,X1))
    | ~ member(esk1_2(difference(intersection(X1,X2),X3),intersection(X4,X1)),X4) ),
    inference(spm,[status(thm)],[c_0_56,c_0_50]) ).

cnf(c_0_123,plain,
    ( subset(intersection(X1,X2),difference(X2,X3))
    | member(esk1_2(intersection(X1,X2),difference(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_21]) ).

cnf(c_0_124,plain,
    subset(difference(union(X1,intersection(X1,X2)),X1),X3),
    inference(spm,[status(thm)],[c_0_116,c_0_61]) ).

cnf(c_0_125,plain,
    subset(difference(X1,difference(X1,X2)),X2),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_126,plain,
    difference(union(X1,X2),X2) = difference(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_119]),c_0_120])]) ).

cnf(c_0_127,plain,
    subset(difference(X1,X2),difference(union(X3,X1),X2)),
    inference(spm,[status(thm)],[c_0_115,c_0_88]) ).

cnf(c_0_128,plain,
    difference(union(X1,intersection(X2,X1)),X1) = difference(X3,X3),
    inference(spm,[status(thm)],[c_0_31,c_0_116]) ).

cnf(c_0_129,plain,
    subset(X1,union(X2,X1)),
    inference(spm,[status(thm)],[c_0_121,c_0_13]) ).

cnf(c_0_130,plain,
    subset(difference(intersection(X1,X2),difference(X2,X3)),intersection(X3,X1)),
    inference(spm,[status(thm)],[c_0_122,c_0_111]) ).

cnf(c_0_131,plain,
    subset(intersection(difference(X1,X2),X3),difference(X3,X2)),
    inference(spm,[status(thm)],[c_0_60,c_0_123]) ).

cnf(c_0_132,plain,
    subset(difference(union(X1,difference(X1,X2)),X1),X3),
    inference(spm,[status(thm)],[c_0_124,c_0_106]) ).

cnf(c_0_133,plain,
    subset(difference(union(X1,X2),difference(X1,X2)),X2),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_134,plain,
    subset(X1,difference(union(X2,X1),difference(X3,X1))),
    inference(spm,[status(thm)],[c_0_127,c_0_91]) ).

cnf(c_0_135,plain,
    subset(union(X1,intersection(X2,X1)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_128]),c_0_48]) ).

cnf(c_0_136,plain,
    subset(X1,union(X1,X2)),
    inference(spm,[status(thm)],[c_0_129,c_0_89]) ).

cnf(c_0_137,plain,
    ( subset(intersection(X1,intersection(X2,X3)),X4)
    | member(esk1_2(intersection(X1,intersection(X2,X3)),X4),X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_21]) ).

cnf(c_0_138,plain,
    subset(difference(X1,difference(union(X2,X1),X3)),intersection(X3,X1)),
    inference(spm,[status(thm)],[c_0_130,c_0_88]) ).

cnf(c_0_139,plain,
    subset(intersection(X1,X2),difference(X2,difference(X3,X1))),
    inference(spm,[status(thm)],[c_0_131,c_0_91]) ).

cnf(c_0_140,plain,
    difference(union(X1,difference(X1,X2)),X1) = difference(X3,X3),
    inference(spm,[status(thm)],[c_0_31,c_0_132]) ).

cnf(c_0_141,plain,
    difference(union(X1,X2),difference(X1,X2)) = X2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_133]),c_0_134])]) ).

cnf(c_0_142,plain,
    union(X1,intersection(X2,X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_135]),c_0_136])]) ).

cnf(c_0_143,plain,
    ( subset(intersection(difference(X1,X2),union(X2,X3)),X4)
    | member(esk1_2(intersection(difference(X1,X2),union(X2,X3)),X4),X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_77]) ).

cnf(c_0_144,plain,
    subset(intersection(difference(X1,X2),intersection(X2,X3)),X4),
    inference(spm,[status(thm)],[c_0_60,c_0_137]) ).

cnf(c_0_145,plain,
    ( X1 = difference(intersection(X2,X3),X2)
    | ~ subset(X1,difference(intersection(X2,X3),X2)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_58]) ).

cnf(c_0_146,plain,
    difference(X1,difference(union(X2,X1),X3)) = intersection(X3,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_138]),c_0_139])]) ).

cnf(c_0_147,plain,
    subset(union(X1,difference(X1,X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_140]),c_0_48]) ).

cnf(c_0_148,plain,
    difference(X1,difference(X1,X2)) = intersection(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_79]),c_0_142]) ).

cnf(c_0_149,plain,
    subset(intersection(difference(X1,X2),union(X2,X3)),intersection(X3,X1)),
    inference(spm,[status(thm)],[c_0_83,c_0_143]) ).

cnf(c_0_150,plain,
    difference(intersection(difference(X1,X2),intersection(X2,X3)),X4) = intersection(difference(X1,X2),intersection(X2,X3)),
    inference(spm,[status(thm)],[c_0_28,c_0_144]) ).

cnf(c_0_151,plain,
    difference(intersection(X1,intersection(X2,X3)),X2) = difference(intersection(X2,X3),X2),
    inference(spm,[status(thm)],[c_0_145,c_0_115]) ).

cnf(c_0_152,plain,
    intersection(X1,intersection(X2,union(X3,X1))) = intersection(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_79]),c_0_146]),c_0_61]) ).

cnf(c_0_153,plain,
    union(X1,difference(X1,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_147]),c_0_136])]) ).

cnf(c_0_154,plain,
    intersection(X1,difference(union(X2,X1),X3)) = difference(X1,X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_146]),c_0_79]),c_0_61]) ).

cnf(c_0_155,plain,
    subset(intersection(X1,union(difference(X2,X1),X3)),intersection(X3,X1)),
    inference(spm,[status(thm)],[c_0_149,c_0_91]) ).

cnf(c_0_156,plain,
    subset(intersection(X1,X2),intersection(X2,union(X3,X1))),
    inference(spm,[status(thm)],[c_0_92,c_0_88]) ).

cnf(c_0_157,plain,
    intersection(difference(X1,X2),intersection(X2,X3)) = difference(intersection(X2,X3),X2),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_158,plain,
    intersection(difference(X1,X2),intersection(X3,X1)) = intersection(X3,difference(X1,X2)),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_159,plain,
    intersection(intersection(X1,X2),difference(X2,X3)) = difference(intersection(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_154,c_0_142]) ).

cnf(c_0_160,plain,
    subset(difference(X1,X2),difference(difference(X1,X2),intersection(X3,X2))),
    inference(spm,[status(thm)],[c_0_64,c_0_110]) ).

cnf(c_0_161,plain,
    intersection(X1,union(difference(X2,X1),X3)) = intersection(X3,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_155]),c_0_156])]) ).

cnf(c_0_162,plain,
    difference(intersection(X1,X2),difference(X3,X1)) = intersection(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_157]),c_0_75]) ).

cnf(c_0_163,plain,
    difference(intersection(X1,X2),X3) = intersection(X1,difference(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_158]),c_0_159]) ).

cnf(c_0_164,plain,
    difference(difference(X1,X2),intersection(X3,X2)) = difference(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_160]),c_0_24])]) ).

cnf(c_0_165,plain,
    difference(difference(X1,X2),difference(X1,X3)) = intersection(X3,difference(X1,X2)),
    inference(spm,[status(thm)],[c_0_146,c_0_153]) ).

cnf(c_0_166,plain,
    intersection(difference(X1,X2),difference(X1,X3)) = difference(difference(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_154,c_0_153]) ).

cnf(c_0_167,plain,
    difference(X1,union(difference(X2,X1),X3)) = difference(X1,X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_161]),c_0_79]) ).

cnf(c_0_168,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_169,plain,
    ( subset(difference(union(X1,X2),X3),X4)
    | member(esk1_2(difference(union(X1,X2),X3),X4),X1)
    | member(esk1_2(difference(union(X1,X2),X3),X4),X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_19]) ).

cnf(c_0_170,plain,
    intersection(X1,difference(X2,difference(X3,X1))) = intersection(X1,X2),
    inference(rw,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_171,plain,
    difference(difference(X1,union(X2,X3)),X2) = difference(X1,union(X2,X3)),
    inference(spm,[status(thm)],[c_0_164,c_0_93]) ).

cnf(c_0_172,plain,
    difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_165]),c_0_79]),c_0_166]) ).

cnf(c_0_173,plain,
    difference(difference(X1,X2),union(X2,X3)) = difference(difference(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_167,c_0_91]) ).

cnf(c_0_174,plain,
    ( subset(difference(X1,union(X2,X3)),X4)
    | ~ member(esk1_2(difference(X1,union(X2,X3)),X4),X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_168]) ).

cnf(c_0_175,plain,
    ( subset(difference(union(X1,X2),union(X3,X1)),X4)
    | member(esk1_2(difference(union(X1,X2),union(X3,X1)),X4),X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_169]) ).

cnf(c_0_176,plain,
    subset(difference(X1,difference(union(X1,X2),X3)),intersection(X3,X1)),
    inference(spm,[status(thm)],[c_0_130,c_0_93]) ).

cnf(c_0_177,plain,
    difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_170]),c_0_86]) ).

cnf(c_0_178,plain,
    difference(difference(X1,X2),X3) = difference(X1,union(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).

cnf(c_0_179,plain,
    subset(difference(union(X1,X2),union(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_180,plain,
    difference(X1,difference(union(X1,X2),X3)) = intersection(X3,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_176]),c_0_139])]) ).

cnf(c_0_181,plain,
    difference(X1,union(X2,difference(X3,X2))) = difference(X1,union(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_141]),c_0_178]),c_0_178]) ).

cnf(c_0_182,plain,
    difference(union(X1,X2),union(X2,X1)) = difference(X3,X3),
    inference(spm,[status(thm)],[c_0_31,c_0_179]) ).

cnf(c_0_183,plain,
    intersection(union(X1,difference(X2,X1)),X3) = intersection(union(X1,X2),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_180]) ).

cnf(c_0_184,plain,
    difference(union(X1,intersection(X1,X2)),X1) = difference(X3,X3),
    inference(spm,[status(thm)],[c_0_31,c_0_124]) ).

fof(c_0_185,negated_conjecture,
    ~ ! [X1,X2] : union(intersection(X1,X2),difference(X1,X2)) = X1,
    inference(assume_negation,[status(cth)],[prove_union_intersection_difference]) ).

cnf(c_0_186,plain,
    intersection(union(X1,X2),union(X2,X1)) = union(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_182]),c_0_48]) ).

cnf(c_0_187,plain,
    intersection(X1,union(X2,difference(X3,X2))) = intersection(X1,union(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_183]),c_0_181]),c_0_161]) ).

cnf(c_0_188,plain,
    subset(union(X1,intersection(X1,X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_184]),c_0_48]) ).

fof(c_0_189,negated_conjecture,
    union(intersection(esk3_0,esk4_0),difference(esk3_0,esk4_0)) != esk3_0,
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_185])])])]) ).

cnf(c_0_190,plain,
    union(X1,difference(X2,X1)) = union(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_89]),c_0_183]),c_0_118]) ).

cnf(c_0_191,plain,
    union(X1,intersection(X1,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_188]),c_0_136])]) ).

cnf(c_0_192,negated_conjecture,
    union(intersection(esk3_0,esk4_0),difference(esk3_0,esk4_0)) != esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_189]) ).

cnf(c_0_193,plain,
    union(intersection(X1,X2),difference(X1,X2)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_86]),c_0_89]),c_0_191]) ).

cnf(c_0_194,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET608+3 : TPTP v8.2.0. Released v2.2.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 11:59:37 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 241.29/31.01  # Version: 3.1.0
% 241.29/31.01  # Preprocessing class: FSMSSMSSSSSNFFN.
% 241.29/31.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 241.29/31.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 241.29/31.01  # Starting new_bool_3 with 300s (1) cores
% 241.29/31.01  # Starting new_bool_1 with 300s (1) cores
% 241.29/31.01  # Starting sh5l with 300s (1) cores
% 241.29/31.01  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 24436 completed with status 0
% 241.29/31.01  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 241.29/31.01  # Preprocessing class: FSMSSMSSSSSNFFN.
% 241.29/31.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 241.29/31.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 241.29/31.01  # No SInE strategy applied
% 241.29/31.01  # Search class: FGHSS-FFSF22-SFFFFFNN
% 241.29/31.01  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 241.29/31.01  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 241.29/31.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 241.29/31.01  # Starting new_bool_3 with 136s (1) cores
% 241.29/31.01  # Starting new_bool_1 with 136s (1) cores
% 241.29/31.01  # Starting sh5l with 136s (1) cores
% 241.29/31.01  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 24442 completed with status 0
% 241.29/31.01  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 241.29/31.01  # Preprocessing class: FSMSSMSSSSSNFFN.
% 241.29/31.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 241.29/31.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 241.29/31.01  # No SInE strategy applied
% 241.29/31.01  # Search class: FGHSS-FFSF22-SFFFFFNN
% 241.29/31.01  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 241.29/31.01  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 241.29/31.01  # Preprocessing time       : 0.001 s
% 241.29/31.01  # Presaturation interreduction done
% 241.29/31.01  
% 241.29/31.01  # Proof found!
% 241.29/31.01  # SZS status Theorem
% 241.29/31.01  # SZS output start CNFRefutation
% See solution above
% 241.29/31.01  # Parsed axioms                        : 10
% 241.29/31.01  # Removed by relevancy pruning/SinE    : 0
% 241.29/31.01  # Initial clauses                      : 23
% 241.29/31.01  # Removed in clause preprocessing      : 2
% 241.29/31.01  # Initial clauses in saturation        : 21
% 241.29/31.01  # Processed clauses                    : 81473
% 241.29/31.01  # ...of these trivial                  : 8422
% 241.29/31.01  # ...subsumed                          : 67617
% 241.29/31.01  # ...remaining for further processing  : 5434
% 241.29/31.01  # Other redundant clauses eliminated   : 2
% 241.29/31.01  # Clauses deleted for lack of memory   : 0
% 241.29/31.01  # Backward-subsumed                    : 6
% 241.29/31.01  # Backward-rewritten                   : 3636
% 241.29/31.01  # Generated clauses                    : 3614154
% 241.29/31.01  # ...of the previous two non-redundant : 2086129
% 241.29/31.01  # ...aggressively subsumed             : 0
% 241.29/31.01  # Contextual simplify-reflections      : 5
% 241.29/31.01  # Paramodulations                      : 3612250
% 241.29/31.01  # Factorizations                       : 1902
% 241.29/31.01  # NegExts                              : 0
% 241.29/31.01  # Equation resolutions                 : 2
% 241.29/31.01  # Disequality decompositions           : 0
% 241.29/31.01  # Total rewrite steps                  : 5622120
% 241.29/31.01  # ...of those cached                   : 5345345
% 241.29/31.01  # Propositional unsat checks           : 0
% 241.29/31.01  #    Propositional check models        : 0
% 241.29/31.01  #    Propositional check unsatisfiable : 0
% 241.29/31.01  #    Propositional clauses             : 0
% 241.29/31.01  #    Propositional clauses after purity: 0
% 241.29/31.01  #    Propositional unsat core size     : 0
% 241.29/31.01  #    Propositional preprocessing time  : 0.000
% 241.29/31.01  #    Propositional encoding time       : 0.000
% 241.29/31.01  #    Propositional solver time         : 0.000
% 241.29/31.01  #    Success case prop preproc time    : 0.000
% 241.29/31.01  #    Success case prop encoding time   : 0.000
% 241.29/31.01  #    Success case prop solver time     : 0.000
% 241.29/31.01  # Current number of processed clauses  : 1771
% 241.29/31.01  #    Positive orientable unit clauses  : 1018
% 241.29/31.01  #    Positive unorientable unit clauses: 23
% 241.29/31.01  #    Negative unit clauses             : 7
% 241.29/31.01  #    Non-unit-clauses                  : 723
% 241.29/31.01  # Current number of unprocessed clauses: 1990706
% 241.29/31.01  # ...number of literals in the above   : 4765323
% 241.29/31.01  # Current number of archived formulas  : 0
% 241.29/31.01  # Current number of archived clauses   : 3661
% 241.29/31.01  # Clause-clause subsumption calls (NU) : 1312821
% 241.29/31.01  # Rec. Clause-clause subsumption calls : 686046
% 241.29/31.01  # Non-unit clause-clause subsumptions  : 13860
% 241.29/31.01  # Unit Clause-clause subsumption calls : 931381
% 241.29/31.01  # Rewrite failures with RHS unbound    : 8941
% 241.29/31.01  # BW rewrite match attempts            : 131036
% 241.29/31.01  # BW rewrite match successes           : 3284
% 241.29/31.01  # Condensation attempts                : 0
% 241.29/31.01  # Condensation successes               : 0
% 241.29/31.01  # Termbank termtop insertions          : 52280003
% 241.29/31.01  # Search garbage collected termcells   : 333
% 241.29/31.01  
% 241.29/31.01  # -------------------------------------------------
% 241.29/31.01  # User time                : 29.029 s
% 241.29/31.01  # System time              : 1.050 s
% 241.29/31.01  # Total time               : 30.079 s
% 241.29/31.01  # Maximum resident set size: 1732 pages
% 241.29/31.01  
% 241.29/31.01  # -------------------------------------------------
% 241.29/31.01  # User time                : 147.710 s
% 241.29/31.01  # System time              : 2.155 s
% 241.29/31.01  # Total time               : 149.865 s
% 241.29/31.01  # Maximum resident set size: 1696 pages
% 241.29/31.01  % E---3.1 exiting
%------------------------------------------------------------------------------