TSTP Solution File: SWW303+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWW303+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 06:45:15 EDT 2024

% Result   : ContradictoryAxioms 23.04s 4.06s
% Output   : CNFRefutation 23.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  153 (  94 unt;   0 def)
%            Number of atoms       :  229 ( 124 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  151 (  75   ~;  61   |;   6   &)
%                                         (   8 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;   9 con; 0-3 aty)
%            Number of variables   :  246 (  36 sgn 135   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
    ! [X29,X5] :
      ( hAPP(c_Set_OCollect(X5),X29) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X29,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).

fof(fact_Collect__def,axiom,
    ! [X29,X5] : hAPP(c_Set_OCollect(X5),X29) = X29,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).

fof(fact_Collect__neg__eq,axiom,
    ! [X29,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X29)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X29)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).

fof(help_c__COMBK__1,axiom,
    ! [X309,X308,X5,X59] : hAPP(hAPP(c_COMBK(X59,X5),X308),X309) = X308,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBK__1) ).

fof(fact_mult__Pls,axiom,
    ! [X169] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),X169) = c_Int_OPls,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__Pls) ).

fof(fact_rel__simps_I39_J,axiom,
    ! [X125] : c_Int_OPls != c_Int_OBit1(X125),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rel__simps_I39_J) ).

fof(fact_double__complement,axiom,
    ! [X16,X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X16)) = X16,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__complement) ).

fof(help_c__fNot__1,axiom,
    ! [X29] :
      ( ~ hBOOL(hAPP(c_fNot,X29))
      | ~ hBOOL(X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__1) ).

fof(help_c__COMBB__1,axiom,
    ! [X35,X30,X29,X24,X5,X17] : hAPP(hAPP(hAPP(c_COMBB(X17,X5,X24),X29),X30),X35) = hAPP(X29,hAPP(X30,X35)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).

fof(fact_the_Osimps,axiom,
    ! [X58,X59] : hAPP(c_Option_Othe(X59),hAPP(c_Option_Ooption_OSome(X59),X58)) = X58,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_the_Osimps) ).

fof(fact_number__of__is__id,axiom,
    ! [X126] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X126) = X126,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id) ).

fof(fact_eq__int__code_I5_J,axiom,
    ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__int__code_I5_J) ).

fof(fact_eq__equal,axiom,
    ! [X5] :
      ( class_HOL_Oequal(X5)
     => c_fequal = c_HOL_Oequal__class_Oequal(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__equal) ).

fof(fact_Collect__mem__eq,axiom,
    ! [X16,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),c_member(X5)),X16)) = X16,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__mem__eq) ).

fof(fact_eq__int__code_I8_J,axiom,
    ! [X195] :
      ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(X195)))
    <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),X195)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__int__code_I8_J) ).

fof(fact_one__is__num__one,axiom,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__is__num__one) ).

fof(arity_Int__Oint__HOL_Oequal,axiom,
    class_HOL_Oequal(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__HOL_Oequal) ).

fof(fact_all__not__in__conv,axiom,
    ! [X16,X5] :
      ( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X16))
    <=> X16 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_all__not__in__conv) ).

fof(help_c__COMBC__1,axiom,
    ! [X35,X30,X29,X5,X24,X17] : hAPP(hAPP(hAPP(c_COMBC(X17,X24,X5),X29),X30),X35) = hAPP(hAPP(X29,X35),X30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBC__1) ).

fof(fact_empty__not__insert,axiom,
    ! [X16,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X5),X6),X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty__not__insert) ).

fof(fact_singleton__conv2,axiom,
    ! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_singleton__conv2) ).

fof(fact_mem__def,axiom,
    ! [X16,X18,X5] :
      ( hBOOL(hAPP(hAPP(c_member(X5),X18),X16))
    <=> hBOOL(hAPP(X16,X18)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).

fof(help_c__fequal__1,axiom,
    ! [X23,X18] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,X18),X23))
      | X18 = X23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fequal__1) ).

fof(fact_equal__int__def,axiom,
    ! [X139,X115] :
      ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X115),X139))
    <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X115),X139) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_equal__int__def) ).

fof(conj_0,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_Procs)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_Pls__def,axiom,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Pls__def) ).

fof(fact_diff__bin__simps_I1_J,axiom,
    ! [X126] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X126),c_Int_OPls) = X126,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__bin__simps_I1_J) ).

fof(fact_int__0__neq__1,axiom,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_int__0__neq__1) ).

fof(fact_emptyE,axiom,
    ! [X6,X5] : ~ hBOOL(hAPP(hAPP(c_member(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_emptyE) ).

fof(fact_bot__empty__eq,axiom,
    ! [X18,X5] :
      ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X18))
    <=> hBOOL(hAPP(hAPP(c_member(X5),X18),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bot__empty__eq) ).

fof(help_c__fequal__2,axiom,
    ! [X23,X18] :
      ( X18 != X23
      | hBOOL(hAPP(hAPP(c_fequal,X18),X23)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fequal__2) ).

fof(c_0_31,plain,
    ! [X29,X5] :
      ( hAPP(c_Set_OCollect(X5),X29) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X29,X3)) ),
    inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).

fof(c_0_32,plain,
    ! [X3814,X3815,X3816,X3817,X3819] :
      ( ( hAPP(c_Set_OCollect(X3815),X3814) != c_Orderings_Obot__class_Obot(tc_fun(X3815,tc_HOL_Obool))
        | ~ hBOOL(hAPP(X3814,X3816)) )
      & ( hBOOL(hAPP(X3817,esk79_1(X3817)))
        | hAPP(c_Set_OCollect(X3819),X3817) = c_Orderings_Obot__class_Obot(tc_fun(X3819,tc_HOL_Obool)) ) ),
    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)],[c_0_31])])])])])]) ).

fof(c_0_33,plain,
    ! [X3812,X3813] : hAPP(c_Set_OCollect(X3813),X3812) = X3812,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

fof(c_0_34,plain,
    ! [X3786,X3787] : hAPP(c_Set_OCollect(X3787),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3787),c_fNot),X3786)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3787,tc_HOL_Obool)),hAPP(c_Set_OCollect(X3787),X3786)),
    inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).

fof(c_0_35,plain,
    ! [X3748,X3749,X3750,X3751] : hAPP(hAPP(c_COMBK(X3751,X3750),X3749),X3748) = X3749,
    inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).

cnf(c_0_36,plain,
    ( hBOOL(hAPP(X1,esk79_1(X1)))
    | hAPP(c_Set_OCollect(X2),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_38,plain,
    ! [X4352] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),X4352) = c_Int_OPls,
    inference(variable_rename,[status(thm)],[fact_mult__Pls]) ).

fof(c_0_39,plain,
    ! [X125] : c_Int_OPls != c_Int_OBit1(X125),
    inference(fof_simplification,[status(thm)],[fact_rel__simps_I39_J]) ).

fof(c_0_40,plain,
    ! [X1806,X1807] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1807,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1807,tc_HOL_Obool)),X1806)) = X1806,
    inference(variable_rename,[status(thm)],[fact_double__complement]) ).

cnf(c_0_41,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_42,plain,
    ! [X29] :
      ( ~ hBOOL(hAPP(c_fNot,X29))
      | ~ hBOOL(X29) ),
    inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).

cnf(c_0_43,plain,
    hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | hBOOL(hAPP(X1,esk79_1(X1))) ),
    inference(rw,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),X1) = c_Int_OPls,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_46,plain,
    ! [X4354] : c_Int_OPls != c_Int_OBit1(X4354),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).

fof(c_0_47,plain,
    ! [X627,X628,X629,X630,X631,X632] : hAPP(hAPP(hAPP(c_COMBB(X632,X631,X630),X629),X628),X627) = hAPP(X629,hAPP(X628,X627)),
    inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).

cnf(c_0_48,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,plain,
    hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_37]),c_0_37]) ).

fof(c_0_50,plain,
    ! [X3807] :
      ( ~ hBOOL(hAPP(c_fNot,X3807))
      | ~ hBOOL(X3807) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).

cnf(c_0_51,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = X3
    | hBOOL(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_43]) ).

cnf(c_0_52,plain,
    ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls)
    | hBOOL(c_Int_OPls) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_53,plain,
    c_Int_OPls != c_Int_OBit1(X1),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,plain,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,plain,
    hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_49]) ).

fof(c_0_56,plain,
    ! [X1122,X1123] : hAPP(c_Option_Othe(X1123),hAPP(c_Option_Ooption_OSome(X1123),X1122)) = X1122,
    inference(variable_rename,[status(thm)],[fact_the_Osimps]) ).

cnf(c_0_57,plain,
    ( ~ hBOOL(hAPP(c_fNot,X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_58,plain,
    ( c_Int_OPls = X1
    | hBOOL(c_Int_OPls)
    | hBOOL(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_45]) ).

cnf(c_0_59,plain,
    ( hBOOL(c_Int_OBit1(X1))
    | hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),X3) != c_Int_OPls ),
    inference(spm,[status(thm)],[c_0_53,c_0_51]) ).

fof(c_0_60,plain,
    ! [X4333] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X4333) = X4333,
    inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).

fof(c_0_61,plain,
    ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)),
    inference(fof_simplification,[status(thm)],[fact_eq__int__code_I5_J]) ).

fof(c_0_62,plain,
    ! [X2131] :
      ( ~ class_HOL_Oequal(X2131)
      | c_fequal = c_HOL_Oequal__class_Oequal(X2131) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__equal])])]) ).

cnf(c_0_63,plain,
    hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_54]) ).

cnf(c_0_64,plain,
    hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_65,plain,
    ( hAPP(c_fNot,X1) = c_Int_OPls
    | hBOOL(c_Int_OPls)
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_66,plain,
    ( hBOOL(c_Int_OBit1(X1))
    | hBOOL(c_Int_OPls) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_52]),c_0_45])]) ).

fof(c_0_67,plain,
    ! [X3835,X3836] : hAPP(c_Set_OCollect(X3836),hAPP(hAPP(c_COMBC(X3836,tc_fun(X3836,tc_HOL_Obool),tc_HOL_Obool),c_member(X3836)),X3835)) = X3835,
    inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).

fof(c_0_68,plain,
    ! [X4406] :
      ( ( ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(X4406)))
        | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),X4406)) )
      & ( ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),X4406))
        | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(X4406))) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__int__code_I8_J])])]) ).

cnf(c_0_69,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),
    inference(split_conjunct,[status(thm)],[fact_one__is__num__one]) ).

cnf(c_0_70,plain,
    hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_71,plain,
    ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)),
    inference(fof_nnf,[status(thm)],[c_0_61]) ).

cnf(c_0_72,plain,
    ( c_fequal = c_HOL_Oequal__class_Oequal(X1)
    | ~ class_HOL_Oequal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,plain,
    class_HOL_Oequal(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[arity_Int__Oint__HOL_Oequal]) ).

cnf(c_0_74,plain,
    hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_75,plain,
    ( hAPP(c_fNot,c_Int_OBit1(X1)) = c_Int_OPls
    | hBOOL(c_Int_OPls) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_76,plain,
    ! [X16,X5] :
      ( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X16))
    <=> X16 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
    inference(fof_simplification,[status(thm)],[fact_all__not__in__conv]) ).

fof(c_0_77,plain,
    ! [X2113,X2114,X2115,X2116,X2117,X2118] : hAPP(hAPP(hAPP(c_COMBC(X2118,X2117,X2116),X2115),X2114),X2113) = hAPP(hAPP(X2115,X2113),X2114),
    inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).

cnf(c_0_78,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

fof(c_0_79,plain,
    ! [X16,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X5),X6),X16),
    inference(fof_simplification,[status(thm)],[fact_empty__not__insert]) ).

fof(c_0_80,plain,
    ! [X3763,X3764] : hAPP(c_Set_OCollect(X3764),hAPP(c_fequal,X3763)) = hAPP(hAPP(c_Set_Oinsert(X3764),X3763),c_Orderings_Obot__class_Obot(tc_fun(X3764,tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).

fof(c_0_81,plain,
    ! [X329,X330,X331] :
      ( ( ~ hBOOL(hAPP(hAPP(c_member(X331),X330),X329))
        | hBOOL(hAPP(X329,X330)) )
      & ( ~ hBOOL(hAPP(X329,X330))
        | hBOOL(hAPP(hAPP(c_member(X331),X330),X329)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).

cnf(c_0_82,plain,
    ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),X1))
    | ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_83,plain,
    c_Int_OBit1(c_Int_OPls) = c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(rw,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_84,plain,
    ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_85,plain,
    c_HOL_Oequal__class_Oequal(tc_Int_Oint) = c_fequal,
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_86,plain,
    ( c_Int_OBit1(X1) = hAPP(c_fNot,c_Int_OPls)
    | hBOOL(c_Int_OPls) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

fof(c_0_87,plain,
    ! [X23,X18] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,X18),X23))
      | X18 = X23 ),
    inference(fof_simplification,[status(thm)],[help_c__fequal__1]) ).

fof(c_0_88,plain,
    ! [X676,X677,X679,X680,X681] :
      ( ( hBOOL(hAPP(hAPP(c_member(X677),esk16_2(X676,X677)),X676))
        | X676 = c_Orderings_Obot__class_Obot(tc_fun(X677,tc_HOL_Obool)) )
      & ( X679 != c_Orderings_Obot__class_Obot(tc_fun(X680,tc_HOL_Obool))
        | ~ hBOOL(hAPP(hAPP(c_member(X680),X681),X679)) ) ),
    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)],[c_0_76])])])])])]) ).

cnf(c_0_89,plain,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_90,plain,
    hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
    inference(rw,[status(thm)],[c_0_78,c_0_37]) ).

fof(c_0_91,plain,
    ! [X693,X694,X695] : c_Orderings_Obot__class_Obot(tc_fun(X695,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X695),X694),X693),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_79])]) ).

cnf(c_0_92,plain,
    hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

fof(c_0_93,plain,
    ! [X4414,X4415] :
      ( ( ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X4415),X4414))
        | hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4415),X4414) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
      & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4415),X4414) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
        | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X4415),X4414)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equal__int__def])])]) ).

cnf(c_0_94,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_95,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_Procs)),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_96,plain,
    ~ hBOOL(hAPP(hAPP(c_fequal,c_Int_OMin),c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]) ).

cnf(c_0_97,plain,
    ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_fNot,c_Int_OPls)
    | hBOOL(c_Int_OPls) ),
    inference(spm,[status(thm)],[c_0_83,c_0_86]) ).

cnf(c_0_98,plain,
    ( hAPP(c_fNot,X1) = c_Int_OPls
    | c_Int_OPls = X1
    | hBOOL(c_Int_OPls) ),
    inference(spm,[status(thm)],[c_0_65,c_0_58]) ).

fof(c_0_99,plain,
    ! [X3782,X3783] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,X3783),X3782))
      | X3783 = X3782 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_87])]) ).

cnf(c_0_100,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),esk16_2(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_101,plain,
    hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_102,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_103,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
    inference(rw,[status(thm)],[c_0_92,c_0_37]) ).

cnf(c_0_104,plain,
    ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2))
    | hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_105,plain,
    c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).

fof(c_0_106,plain,
    ! [X4353] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X4353),c_Int_OPls) = X4353,
    inference(variable_rename,[status(thm)],[fact_diff__bin__simps_I1_J]) ).

cnf(c_0_107,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(c_fNot,X3)
    | ~ hBOOL(X3) ),
    inference(spm,[status(thm)],[c_0_57,c_0_51]) ).

cnf(c_0_108,hypothesis,
    hBOOL(hAPP(v_Procs,v_pn)),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_109,plain,
    ( hBOOL(c_Int_OPls)
    | ~ hBOOL(hAPP(hAPP(c_fequal,c_Int_OMin),hAPP(c_fNot,c_Int_OPls))) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_110,plain,
    ( hAPP(c_fNot,c_Int_OPls) = X1
    | c_Int_OPls = X1
    | hBOOL(c_Int_OPls) ),
    inference(spm,[status(thm)],[c_0_74,c_0_98]) ).

cnf(c_0_111,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_fequal,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_112,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | hBOOL(hAPP(X1,esk16_2(X1,X2))) ),
    inference(rw,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_113,plain,
    hAPP(c_fequal,X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_114,plain,
    ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),X1),X2))
    | hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2) != c_Int_OPls ),
    inference(rw,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_115,plain,
    hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Int_OPls) = X1,
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_116,hypothesis,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(c_fNot,hAPP(v_Procs,v_pn)),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_117,plain,
    ( c_Int_OPls = X1
    | hBOOL(c_Int_OPls)
    | ~ hBOOL(hAPP(hAPP(c_fequal,c_Int_OMin),X1)) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_118,plain,
    esk16_2(hAPP(c_fequal,X1),X2) = X1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).

cnf(c_0_119,plain,
    c_Int_OMin != c_Int_OPls,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_114]),c_0_115]) ).

cnf(c_0_120,plain,
    ( hAPP(c_fNot,hAPP(v_Procs,v_pn)) = hAPP(c_fNot,X1)
    | ~ hBOOL(X1) ),
    inference(rw,[status(thm)],[c_0_107,c_0_116]) ).

cnf(c_0_121,plain,
    hBOOL(c_Int_OPls),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_112]),c_0_118]),c_0_119]),c_0_113]) ).

cnf(c_0_122,plain,
    hAPP(c_fNot,hAPP(v_Procs,v_pn)) = hAPP(c_fNot,c_Int_OPls),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_123,plain,
    ( hAPP(c_fNot,hAPP(v_Procs,v_pn)) = X1
    | hBOOL(X1) ),
    inference(rw,[status(thm)],[c_0_51,c_0_116]) ).

fof(c_0_124,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(fof_simplification,[status(thm)],[fact_int__0__neq__1]) ).

fof(c_0_125,plain,
    ! [X6,X5] : ~ hBOOL(hAPP(hAPP(c_member(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[fact_emptyE]) ).

cnf(c_0_126,plain,
    ( hAPP(c_fNot,c_Int_OPls) = hAPP(c_fNot,X1)
    | ~ hBOOL(X1) ),
    inference(rw,[status(thm)],[c_0_120,c_0_122]) ).

cnf(c_0_127,plain,
    ( hAPP(c_fNot,c_Int_OPls) = X1
    | hBOOL(X1) ),
    inference(rw,[status(thm)],[c_0_123,c_0_122]) ).

fof(c_0_128,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(fof_nnf,[status(thm)],[c_0_124]) ).

fof(c_0_129,plain,
    ! [X696,X697] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X697,tc_HOL_Obool)),X696))
        | hBOOL(hAPP(hAPP(c_member(X697),X696),c_Orderings_Obot__class_Obot(tc_fun(X697,tc_HOL_Obool)))) )
      & ( ~ hBOOL(hAPP(hAPP(c_member(X697),X696),c_Orderings_Obot__class_Obot(tc_fun(X697,tc_HOL_Obool))))
        | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X697,tc_HOL_Obool)),X696)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__empty__eq])])]) ).

fof(c_0_130,plain,
    ! [X657,X658] : ~ hBOOL(hAPP(hAPP(c_member(X658),X657),c_Orderings_Obot__class_Obot(tc_fun(X658,tc_HOL_Obool)))),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_125])]) ).

cnf(c_0_131,plain,
    ( hAPP(c_fNot,c_Int_OPls) = hAPP(c_fNot,X1)
    | hAPP(c_fNot,c_Int_OPls) = X1 ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_132,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_133,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
    | ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_134,plain,
    ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

fof(c_0_135,plain,
    ! [X23,X18] :
      ( X18 != X23
      | hBOOL(hAPP(hAPP(c_fequal,X18),X23)) ),
    inference(fof_simplification,[status(thm)],[help_c__fequal__2]) ).

cnf(c_0_136,plain,
    ( hAPP(c_fNot,c_Int_OPls) = X1
    | c_Int_OPls = X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_131]),c_0_74]) ).

cnf(c_0_137,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Int_OPls,
    inference(rw,[status(thm)],[c_0_132,c_0_105]) ).

cnf(c_0_138,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
    inference(sr,[status(thm)],[c_0_133,c_0_134]) ).

fof(c_0_139,plain,
    ! [X3784,X3785] :
      ( X3785 != X3784
      | hBOOL(hAPP(hAPP(c_fequal,X3785),X3784)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_135])]) ).

cnf(c_0_140,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_fNot,c_Int_OPls),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_136]),c_0_83]),c_0_137]) ).

cnf(c_0_141,plain,
    ~ hBOOL(hAPP(c_fNot,hAPP(v_Procs,v_pn))),
    inference(rw,[status(thm)],[c_0_138,c_0_116]) ).

cnf(c_0_142,plain,
    ( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_143,plain,
    c_Int_OBit1(c_Int_OPls) = hAPP(c_fNot,c_Int_OPls),
    inference(rw,[status(thm)],[c_0_83,c_0_140]) ).

cnf(c_0_144,plain,
    hAPP(hAPP(c_fequal,c_Int_OMin),c_Int_OPls) = hAPP(c_fNot,hAPP(v_Procs,v_pn)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_123]),c_0_85]) ).

cnf(c_0_145,plain,
    hAPP(v_Procs,v_pn) = c_Int_OPls,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_122]),c_0_74]) ).

cnf(c_0_146,plain,
    ~ hBOOL(hAPP(c_fNot,c_Int_OPls)),
    inference(rw,[status(thm)],[c_0_141,c_0_122]) ).

cnf(c_0_147,plain,
    hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
    inference(er,[status(thm)],[c_0_142]) ).

cnf(c_0_148,plain,
    ~ hBOOL(hAPP(hAPP(c_fequal,c_Int_OMin),hAPP(c_fNot,c_Int_OPls))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_143]),c_0_85]),c_0_144]),c_0_145]),c_0_85]),c_0_146]) ).

cnf(c_0_149,plain,
    hAPP(c_fNot,hAPP(hAPP(c_fequal,X1),X1)) = hAPP(c_fNot,c_Int_OPls),
    inference(spm,[status(thm)],[c_0_126,c_0_147]) ).

cnf(c_0_150,plain,
    ( c_Int_OPls = X1
    | ~ hBOOL(hAPP(hAPP(c_fequal,c_Int_OMin),X1)) ),
    inference(spm,[status(thm)],[c_0_148,c_0_136]) ).

cnf(c_0_151,plain,
    hAPP(hAPP(c_fequal,X1),X1) = c_Int_OPls,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_149]),c_0_74]) ).

cnf(c_0_152,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_121])]),c_0_119]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW303+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 18:59:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.04/4.06  # Version: 3.1.0
% 23.04/4.06  # Preprocessing class: FMLMSMSMSSSNFFN.
% 23.04/4.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.04/4.06  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.04/4.06  # Starting new_bool_3 with 300s (1) cores
% 23.04/4.06  # Starting new_bool_1 with 300s (1) cores
% 23.04/4.06  # Starting sh5l with 300s (1) cores
% 23.04/4.06  # new_bool_3 with pid 22152 completed with status 0
% 23.04/4.06  # Result found by new_bool_3
% 23.04/4.06  # Preprocessing class: FMLMSMSMSSSNFFN.
% 23.04/4.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.04/4.06  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.04/4.06  # Starting new_bool_3 with 300s (1) cores
% 23.04/4.06  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.04/4.06  # Search class: FGHSM-SSLM32-DFFFFFNN
% 23.04/4.06  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 23.04/4.06  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 23.04/4.06  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 22156 completed with status 0
% 23.04/4.06  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 23.04/4.06  # Preprocessing class: FMLMSMSMSSSNFFN.
% 23.04/4.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.04/4.06  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.04/4.06  # Starting new_bool_3 with 300s (1) cores
% 23.04/4.06  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.04/4.06  # Search class: FGHSM-SSLM32-DFFFFFNN
% 23.04/4.06  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 23.04/4.06  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 23.04/4.06  # Preprocessing time       : 0.030 s
% 23.04/4.06  # Presaturation interreduction done
% 23.04/4.06  
% 23.04/4.06  # Proof found!
% 23.04/4.06  # SZS status ContradictoryAxioms
% 23.04/4.06  # SZS output start CNFRefutation
% See solution above
% 23.04/4.06  # Parsed axioms                        : 5243
% 23.04/4.06  # Removed by relevancy pruning/SinE    : 3962
% 23.04/4.06  # Initial clauses                      : 1877
% 23.04/4.06  # Removed in clause preprocessing      : 60
% 23.04/4.06  # Initial clauses in saturation        : 1817
% 23.04/4.06  # Processed clauses                    : 5478
% 23.04/4.06  # ...of these trivial                  : 166
% 23.04/4.06  # ...subsumed                          : 1766
% 23.04/4.06  # ...remaining for further processing  : 3546
% 23.04/4.06  # Other redundant clauses eliminated   : 1227
% 23.04/4.06  # Clauses deleted for lack of memory   : 0
% 23.04/4.06  # Backward-subsumed                    : 38
% 23.04/4.06  # Backward-rewritten                   : 388
% 23.04/4.06  # Generated clauses                    : 160611
% 23.04/4.06  # ...of the previous two non-redundant : 154288
% 23.04/4.06  # ...aggressively subsumed             : 0
% 23.04/4.06  # Contextual simplify-reflections      : 7
% 23.04/4.06  # Paramodulations                      : 159325
% 23.04/4.06  # Factorizations                       : 15
% 23.04/4.06  # NegExts                              : 0
% 23.04/4.06  # Equation resolutions                 : 1284
% 23.04/4.06  # Disequality decompositions           : 0
% 23.04/4.06  # Total rewrite steps                  : 23904
% 23.04/4.06  # ...of those cached                   : 16977
% 23.04/4.06  # Propositional unsat checks           : 0
% 23.04/4.06  #    Propositional check models        : 0
% 23.04/4.06  #    Propositional check unsatisfiable : 0
% 23.04/4.06  #    Propositional clauses             : 0
% 23.04/4.06  #    Propositional clauses after purity: 0
% 23.04/4.06  #    Propositional unsat core size     : 0
% 23.04/4.06  #    Propositional preprocessing time  : 0.000
% 23.04/4.06  #    Propositional encoding time       : 0.000
% 23.04/4.06  #    Propositional solver time         : 0.000
% 23.04/4.06  #    Success case prop preproc time    : 0.000
% 23.04/4.06  #    Success case prop encoding time   : 0.000
% 23.04/4.06  #    Success case prop solver time     : 0.000
% 23.04/4.06  # Current number of processed clauses  : 1615
% 23.04/4.06  #    Positive orientable unit clauses  : 420
% 23.04/4.06  #    Positive unorientable unit clauses: 44
% 23.04/4.06  #    Negative unit clauses             : 133
% 23.04/4.06  #    Non-unit-clauses                  : 1018
% 23.04/4.06  # Current number of unprocessed clauses: 150815
% 23.04/4.06  # ...number of literals in the above   : 459219
% 23.04/4.06  # Current number of archived formulas  : 0
% 23.04/4.06  # Current number of archived clauses   : 1783
% 23.04/4.06  # Clause-clause subsumption calls (NU) : 352674
% 23.04/4.06  # Rec. Clause-clause subsumption calls : 199286
% 23.04/4.06  # Non-unit clause-clause subsumptions  : 797
% 23.04/4.06  # Unit Clause-clause subsumption calls : 47251
% 23.04/4.06  # Rewrite failures with RHS unbound    : 0
% 23.04/4.06  # BW rewrite match attempts            : 9014
% 23.04/4.06  # BW rewrite match successes           : 569
% 23.04/4.06  # Condensation attempts                : 0
% 23.04/4.06  # Condensation successes               : 0
% 23.04/4.06  # Termbank termtop insertions          : 5664739
% 23.04/4.06  # Search garbage collected termcells   : 59979
% 23.04/4.06  
% 23.04/4.06  # -------------------------------------------------
% 23.04/4.06  # User time                : 3.152 s
% 23.04/4.06  # System time              : 0.141 s
% 23.04/4.06  # Total time               : 3.293 s
% 23.04/4.06  # Maximum resident set size: 14464 pages
% 23.04/4.06  
% 23.04/4.06  # -------------------------------------------------
% 23.04/4.06  # User time                : 3.341 s
% 23.04/4.06  # System time              : 0.151 s
% 23.04/4.06  # Total time               : 3.492 s
% 23.04/4.06  # Maximum resident set size: 9452 pages
% 23.04/4.06  % E---3.1 exiting
%------------------------------------------------------------------------------