TSTP Solution File: SWW295+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW295+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 20:10:57 EDT 2023

% Result   : ContradictoryAxioms 65.05s 10.49s
% Output   : CNFRefutation 65.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  127 (  86 unt;   0 def)
%            Number of atoms       :  190 ( 105 equ)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :  120 (  57   ~;  50   |;   7   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;   9 con; 0-3 aty)
%            Number of variables   :  192 (  27 sgn;  99   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_emptyE,axiom,
    ! [X71,X31] : ~ hBOOL(hAPP(hAPP(c_member(X31),X71),c_Orderings_Obot__class_Obot(tc_fun(X31,tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_emptyE) ).

fof(fact_Collect__empty__eq,axiom,
    ! [X72,X31] :
      ( hAPP(c_Set_OCollect(X31),X72) = c_Orderings_Obot__class_Obot(tc_fun(X31,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X72,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_Collect__empty__eq) ).

fof(fact_Collect__neg__eq,axiom,
    ! [X72,X31] : hAPP(c_Set_OCollect(X31),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X31),c_fNot),X72)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X31,tc_HOL_Obool)),hAPP(c_Set_OCollect(X31),X72)),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_Collect__neg__eq) ).

fof(fact_Collect__def,axiom,
    ! [X72,X31] : hAPP(c_Set_OCollect(X31),X72) = X72,
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_Collect__def) ).

fof(fact_bot__empty__eq,axiom,
    ! [X75,X31] :
      ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_HOL_Obool)),X75))
    <=> hBOOL(hAPP(hAPP(c_member(X31),X75),c_Orderings_Obot__class_Obot(tc_fun(X31,tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_bot__empty__eq) ).

fof(fact_double__complement,axiom,
    ! [X140,X31] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X31,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X31,tc_HOL_Obool)),X140)) = X140,
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_double__complement) ).

fof(help_c__COMBB__1,axiom,
    ! [X180,X183,X72,X107,X31,X90] : hAPP(hAPP(hAPP(c_COMBB(X90,X31,X107),X72),X183),X180) = hAPP(X72,hAPP(X183,X180)),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',help_c__COMBB__1) ).

fof(fact_Collect__conj__eq,axiom,
    ! [X183,X72,X31] : hAPP(c_Set_OCollect(X31),hAPP(hAPP(c_COMBS(X31,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X31),c_fconj),X72)),X183)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X31,tc_HOL_Obool)),hAPP(c_Set_OCollect(X31),X72)),hAPP(c_Set_OCollect(X31),X183)),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_Collect__conj__eq) ).

fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
    ! [X72] : hAPP(c_Set_OCollect(tc_Nat_Onat),X72) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),X72),c_Int_Onat)))),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J) ).

fof(fact_number__of__is__id,axiom,
    ! [X84] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X84) = X84,
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_number__of__is__id) ).

fof(fact_distinct_Osimps_I1_J,axiom,
    ! [X80] : hBOOL(hAPP(c_List_Odistinct(X80),c_List_Olist_ONil(X80))),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_distinct_Osimps_I1_J) ).

fof(help_c__fNot__1,axiom,
    ! [X72] :
      ( ~ hBOOL(hAPP(c_fNot,X72))
      | ~ hBOOL(X72) ),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',help_c__fNot__1) ).

fof(help_c__COMBK__1,axiom,
    ! [X318,X15,X31,X80] : hAPP(hAPP(c_COMBK(X80,X31),X15),X318) = X15,
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',help_c__COMBK__1) ).

fof(fact_less__Suc__eq__0__disj,axiom,
    ! [X29,X83] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X83),hAPP(c_Nat_OSuc,X29)))
    <=> ( X83 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ? [X104] :
            ( X83 = hAPP(c_Nat_OSuc,X104)
            & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X104),X29)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_less__Suc__eq__0__disj) ).

fof(fact_less__eq__Suc__le__raw,axiom,
    ! [X29] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X29) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X29)),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_less__eq__Suc__le__raw) ).

fof(fact_le__refl,axiom,
    ! [X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X5),X5)),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_le__refl) ).

fof(fact_n__not__Suc__n,axiom,
    ! [X5] : X5 != hAPP(c_Nat_OSuc,X5),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_n__not__Suc__n) ).

fof(fact_WT_Oequations_I1_J,axiom,
    hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_WT_Oequations_I1_J) ).

fof(fact_Zero__neq__Suc,axiom,
    ! [X67] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X67),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_Zero__neq__Suc) ).

fof(fact_com_Osimps_I18_J,axiom,
    ! [X54] : c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X54),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_com_Osimps_I18_J) ).

fof(fact_com_Osimps_I6_J,axiom,
    ! [X17,X18] :
      ( c_Com_Ocom_OBODY(X18) = c_Com_Ocom_OBODY(X17)
    <=> X18 = X17 ),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_com_Osimps_I6_J) ).

fof(fact_add__eq__self__zero,axiom,
    ! [X5,X67] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X67),X5) = X67
     => X5 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_add__eq__self__zero) ).

fof(fact_add__Suc__right,axiom,
    ! [X5,X67] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X67),hAPP(c_Nat_OSuc,X5)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X67),X5)),
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_add__Suc__right) ).

fof(fact_Nat_Oadd__0__right,axiom,
    ! [X67] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X67),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X67,
    file('/export/starexec/sandbox/tmp/tmp.AKU6213c6B/E---3.1_27586.p',fact_Nat_Oadd__0__right) ).

fof(c_0_24,plain,
    ! [X71,X31] : ~ hBOOL(hAPP(hAPP(c_member(X31),X71),c_Orderings_Obot__class_Obot(tc_fun(X31,tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[fact_emptyE]) ).

fof(c_0_25,plain,
    ! [X72,X31] :
      ( hAPP(c_Set_OCollect(X31),X72) = c_Orderings_Obot__class_Obot(tc_fun(X31,tc_HOL_Obool))
    <=> ! [X3] : ~ hBOOL(hAPP(X72,X3)) ),
    inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).

fof(c_0_26,plain,
    ! [X4574,X4575] : hAPP(c_Set_OCollect(X4575),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4575),c_fNot),X4574)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4575,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4575),X4574)),
    inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).

fof(c_0_27,plain,
    ! [X3590,X3591] : hAPP(c_Set_OCollect(X3591),X3590) = X3590,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

fof(c_0_28,plain,
    ! [X2236,X2237] :
      ( ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2237,tc_HOL_Obool)),X2236))
        | hBOOL(hAPP(hAPP(c_member(X2237),X2236),c_Orderings_Obot__class_Obot(tc_fun(X2237,tc_HOL_Obool)))) )
      & ( ~ hBOOL(hAPP(hAPP(c_member(X2237),X2236),c_Orderings_Obot__class_Obot(tc_fun(X2237,tc_HOL_Obool))))
        | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2237,tc_HOL_Obool)),X2236)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__empty__eq])]) ).

fof(c_0_29,plain,
    ! [X2234,X2235] : ~ hBOOL(hAPP(hAPP(c_member(X2235),X2234),c_Orderings_Obot__class_Obot(tc_fun(X2235,tc_HOL_Obool)))),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

fof(c_0_30,plain,
    ! [X3598,X3599,X3600,X3601,X3603] :
      ( ( hAPP(c_Set_OCollect(X3599),X3598) != c_Orderings_Obot__class_Obot(tc_fun(X3599,tc_HOL_Obool))
        | ~ hBOOL(hAPP(X3598,X3600)) )
      & ( hBOOL(hAPP(X3601,esk83_1(X3601)))
        | hAPP(c_Set_OCollect(X3603),X3601) = c_Orderings_Obot__class_Obot(tc_fun(X3603,tc_HOL_Obool)) ) ),
    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_25])])])])]) ).

fof(c_0_31,plain,
    ! [X2629,X2630] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2630,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2630,tc_HOL_Obool)),X2629)) = X2629,
    inference(variable_rename,[status(thm)],[fact_double__complement]) ).

cnf(c_0_32,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_26]) ).

cnf(c_0_33,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,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_28]) ).

cnf(c_0_35,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_29]) ).

cnf(c_0_36,plain,
    ( hBOOL(hAPP(X1,esk83_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_30]) ).

fof(c_0_37,plain,
    ! [X1968,X1969,X1970,X1971,X1972,X1973] : hAPP(hAPP(hAPP(c_COMBB(X1973,X1972,X1971),X1970),X1969),X1968) = hAPP(X1970,hAPP(X1969,X1968)),
    inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).

cnf(c_0_38,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_31]) ).

cnf(c_0_39,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_32,c_0_33]),c_0_33]) ).

fof(c_0_40,plain,
    ! [X3587,X3588,X3589] : hAPP(c_Set_OCollect(X3589),hAPP(hAPP(c_COMBS(X3589,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X3589),c_fconj),X3588)),X3587)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3589,tc_HOL_Obool)),hAPP(c_Set_OCollect(X3589),X3588)),hAPP(c_Set_OCollect(X3589),X3587)),
    inference(variable_rename,[status(thm)],[fact_Collect__conj__eq]) ).

cnf(c_0_41,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
    inference(sr,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
    | hBOOL(hAPP(X1,esk83_1(X1))) ),
    inference(rw,[status(thm)],[c_0_36,c_0_33]) ).

cnf(c_0_43,plain,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,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_38,c_0_39]),c_0_39]) ).

fof(c_0_45,plain,
    ! [X3640] : hAPP(c_Set_OCollect(tc_Nat_Onat),X3640) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),X3640),c_Int_Onat)))),
    inference(variable_rename,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J]) ).

cnf(c_0_46,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2)),hAPP(c_Set_OCollect(X1),X3)),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_47,plain,
    ! [X1689] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1689) = X1689,
    inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).

fof(c_0_48,plain,
    ! [X3687] : hBOOL(hAPP(c_List_Odistinct(X3687),c_List_Olist_ONil(X3687))),
    inference(variable_rename,[status(thm)],[fact_distinct_Osimps_I1_J]) ).

cnf(c_0_49,plain,
    ( hBOOL(hAPP(X1,esk83_1(X1)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,plain,
    hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_43]) ).

cnf(c_0_51,plain,
    hAPP(c_Set_OCollect(tc_Nat_Onat),X1) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),X1),c_Int_Onat)))),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,plain,
    hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_33]),c_0_33]),c_0_33]) ).

cnf(c_0_53,plain,
    hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,plain,
    hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olist_ONil(X1))),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

fof(c_0_55,plain,
    ! [X72] :
      ( ~ hBOOL(hAPP(c_fNot,X72))
      | ~ hBOOL(X72) ),
    inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).

cnf(c_0_56,plain,
    ( hBOOL(hAPP(c_fNot,esk83_1(c_fNot)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,plain,
    hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),X1),c_Int_Onat))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_33]),c_0_33]) ).

cnf(c_0_58,plain,
    ( hBOOL(esk83_1(c_Int_Onumber__class_Onumber__of(tc_Int_Oint)))
    | ~ hBOOL(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_53]),c_0_53]) ).

cnf(c_0_59,plain,
    hBOOL(hAPP(c_List_Odistinct(X1),esk83_1(c_List_Odistinct(X1)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_42]),c_0_41]) ).

fof(c_0_60,plain,
    ! [X2988,X2989,X2990,X2991] : hAPP(hAPP(c_COMBK(X2991,X2990),X2989),X2988) = X2989,
    inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).

fof(c_0_61,plain,
    ! [X4589] :
      ( ~ hBOOL(hAPP(c_fNot,X4589))
      | ~ hBOOL(X4589) ),
    inference(variable_rename,[status(thm)],[c_0_55]) ).

cnf(c_0_62,plain,
    ( hBOOL(hAPP(c_fNot,esk83_1(c_fNot)))
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_63,plain,
    hBOOL(esk83_1(c_Int_Onumber__class_Onumber__of(tc_Int_Oint))),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_65,plain,
    ( ~ hBOOL(hAPP(c_fNot,X1))
    | ~ hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_66,plain,
    hBOOL(hAPP(c_fNot,esk83_1(c_fNot))),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,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_64,c_0_42]),c_0_64]) ).

fof(c_0_68,plain,
    ! [X510,X511,X513,X514,X515] :
      ( ( X511 = hAPP(c_Nat_OSuc,esk15_2(X510,X511))
        | X511 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X511),hAPP(c_Nat_OSuc,X510))) )
      & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk15_2(X510,X511)),X510))
        | X511 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X511),hAPP(c_Nat_OSuc,X510))) )
      & ( X514 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X514),hAPP(c_Nat_OSuc,X513))) )
      & ( X514 != hAPP(c_Nat_OSuc,X515)
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X515),X513))
        | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X514),hAPP(c_Nat_OSuc,X513))) ) ),
    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)],[fact_less__Suc__eq__0__disj])])])])])]) ).

fof(c_0_69,plain,
    ! [X614] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X614) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X614)),
    inference(variable_rename,[status(thm)],[fact_less__eq__Suc__le__raw]) ).

cnf(c_0_70,plain,
    ~ hBOOL(esk83_1(c_fNot)),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_71,plain,
    ( X1 = X2
    | hBOOL(X1)
    | hBOOL(X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_67]) ).

cnf(c_0_72,plain,
    ( X1 = hAPP(c_Nat_OSuc,esk15_2(X2,X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_73,plain,
    hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

fof(c_0_74,plain,
    ! [X1022] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1022),X1022)),
    inference(variable_rename,[status(thm)],[fact_le__refl]) ).

cnf(c_0_75,plain,
    ( X1 = esk83_1(c_fNot)
    | hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,plain,
    ( hAPP(c_Nat_OSuc,esk15_2(X1,X2)) = X2
    | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),hAPP(c_Nat_OSuc,X1))) ),
    inference(rw,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

fof(c_0_78,plain,
    ! [X461] : X461 != hAPP(c_Nat_OSuc,X461),
    inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).

cnf(c_0_79,plain,
    ( hAPP(c_fNot,X1) = esk83_1(c_fNot)
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_75]) ).

cnf(c_0_80,plain,
    hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
    inference(split_conjunct,[status(thm)],[fact_WT_Oequations_I1_J]) ).

cnf(c_0_81,plain,
    ( hAPP(c_Nat_OSuc,esk15_2(X1,X1)) = X1
    | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,plain,
    X1 != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

fof(c_0_83,plain,
    ! [X468] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X468),
    inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).

fof(c_0_84,plain,
    ! [X623] : c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X623),
    inference(variable_rename,[status(thm)],[fact_com_Osimps_I18_J]) ).

cnf(c_0_85,plain,
    esk83_1(c_fNot) = hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hBOOL(hAPP(c_Nat_OSuc,esk83_1(c_Nat_OSuc)))
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_81]) ).

cnf(c_0_87,plain,
    hBOOL(hAPP(c_Nat_OSuc,esk83_1(c_fNot))),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_75])]) ).

cnf(c_0_88,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_89,plain,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X1),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_90,plain,
    ( hAPP(c_fNot,X1) = hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP))
    | ~ hBOOL(X1) ),
    inference(rw,[status(thm)],[c_0_79,c_0_85]) ).

cnf(c_0_91,plain,
    hBOOL(hAPP(c_Nat_OSuc,esk83_1(c_Nat_OSuc))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_92,plain,
    ( hBOOL(c_Com_Ocom_OBODY(X1))
    | hBOOL(c_Com_Ocom_OSKIP) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_71])]) ).

cnf(c_0_93,plain,
    hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
    inference(spm,[status(thm)],[c_0_50,c_0_57]) ).

cnf(c_0_94,plain,
    hAPP(c_fNot,hAPP(c_Nat_OSuc,esk83_1(c_Nat_OSuc))) = hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

fof(c_0_95,plain,
    ! [X615,X616] :
      ( ( c_Com_Ocom_OBODY(X616) != c_Com_Ocom_OBODY(X615)
        | X616 = X615 )
      & ( X616 != X615
        | c_Com_Ocom_OBODY(X616) = c_Com_Ocom_OBODY(X615) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com_Osimps_I6_J])]) ).

cnf(c_0_96,plain,
    ( hAPP(c_fNot,c_Com_Ocom_OBODY(X1)) = hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP))
    | hBOOL(c_Com_Ocom_OSKIP) ),
    inference(spm,[status(thm)],[c_0_90,c_0_92]) ).

cnf(c_0_97,plain,
    hAPP(c_Nat_OSuc,esk83_1(c_Nat_OSuc)) = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_93]) ).

cnf(c_0_98,plain,
    ( X1 = X2
    | c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_99,plain,
    ( c_Com_Ocom_OBODY(X1) = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)
    | hBOOL(c_Com_Ocom_OSKIP) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_96]),c_0_93]) ).

cnf(c_0_100,plain,
    esk83_1(c_Nat_OSuc) != hAPP(c_Com_OWT,c_Com_Ocom_OSKIP),
    inference(spm,[status(thm)],[c_0_82,c_0_97]) ).

cnf(c_0_101,plain,
    ( X1 = X2
    | hBOOL(c_Com_Ocom_OSKIP) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_99]) ).

fof(c_0_102,plain,
    ! [X1118,X1119] :
      ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1119),X1118) != X1119
      | X1118 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])]) ).

fof(c_0_103,plain,
    ! [X477,X478] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X478),hAPP(c_Nat_OSuc,X477)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X478),X477)),
    inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).

cnf(c_0_104,plain,
    hBOOL(c_Com_Ocom_OSKIP),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101])]) ).

cnf(c_0_105,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_106,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_107,plain,
    ( X1 = hAPP(c_fNot,X2)
    | hBOOL(X1)
    | ~ hBOOL(X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_71]) ).

cnf(c_0_108,plain,
    hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) = hAPP(c_fNot,c_Com_Ocom_OSKIP),
    inference(spm,[status(thm)],[c_0_90,c_0_104]) ).

cnf(c_0_109,plain,
    hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) != X1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_88]) ).

fof(c_0_110,plain,
    ! [X1122] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1122),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1122,
    inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).

cnf(c_0_111,plain,
    ( X1 = hAPP(c_fNot,c_Com_Ocom_OSKIP)
    | hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_107,c_0_104]) ).

cnf(c_0_112,plain,
    hBOOL(hAPP(c_Nat_OSuc,hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)))),
    inference(spm,[status(thm)],[c_0_87,c_0_85]) ).

cnf(c_0_113,plain,
    hAPP(c_Com_OWT,c_Com_Ocom_OSKIP) = c_Com_Ocom_OSKIP,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_108]),c_0_93]) ).

cnf(c_0_114,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))) != X1,
    inference(spm,[status(thm)],[c_0_109,c_0_106]) ).

cnf(c_0_115,plain,
    hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_116,plain,
    ( hAPP(c_fNot,X1) = hAPP(c_fNot,c_Com_Ocom_OSKIP)
    | ~ hBOOL(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_111]) ).

cnf(c_0_117,plain,
    hBOOL(hAPP(c_Nat_OSuc,hAPP(c_fNot,c_Com_Ocom_OSKIP))),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_118,plain,
    hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_119,plain,
    hAPP(c_fNot,hAPP(c_Nat_OSuc,hAPP(c_fNot,c_Com_Ocom_OSKIP))) = hAPP(c_fNot,c_Com_Ocom_OSKIP),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_120,plain,
    ~ hBOOL(hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP))),
    inference(rw,[status(thm)],[c_0_70,c_0_85]) ).

cnf(c_0_121,plain,
    ( hBOOL(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)))
    | hBOOL(X1) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_71])]) ).

cnf(c_0_122,plain,
    hAPP(c_Nat_OSuc,hAPP(c_fNot,c_Com_Ocom_OSKIP)) = c_Com_Ocom_OSKIP,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_119]),c_0_93]) ).

cnf(c_0_123,plain,
    ~ hBOOL(hAPP(c_fNot,c_Com_Ocom_OSKIP)),
    inference(rw,[status(thm)],[c_0_120,c_0_108]) ).

cnf(c_0_124,plain,
    hBOOL(hAPP(c_Nat_OSuc,c_Com_Ocom_OSKIP)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).

cnf(c_0_125,plain,
    hAPP(c_fNot,hAPP(c_Nat_OSuc,c_Com_Ocom_OSKIP)) = hAPP(c_fNot,c_Com_Ocom_OSKIP),
    inference(spm,[status(thm)],[c_0_116,c_0_124]) ).

cnf(c_0_126,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_125]),c_0_93]),c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SWW295+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n031.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Oct  2 23:25:58 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 1.31/1.49  Running first-order model finding
% 1.31/1.49  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/tmp/tmp.AKU6213c6B/E---3.1_27586.p
% 65.05/10.49  # Version: 3.1pre001
% 65.05/10.49  # Preprocessing class: FMLMSMSMSSSNFFN.
% 65.05/10.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.05/10.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 65.05/10.49  # Starting new_bool_3 with 300s (1) cores
% 65.05/10.49  # Starting new_bool_1 with 300s (1) cores
% 65.05/10.49  # Starting sh5l with 300s (1) cores
% 65.05/10.49  # new_bool_1 with pid 27665 completed with status 0
% 65.05/10.49  # Result found by new_bool_1
% 65.05/10.49  # Preprocessing class: FMLMSMSMSSSNFFN.
% 65.05/10.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.05/10.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 65.05/10.49  # Starting new_bool_3 with 300s (1) cores
% 65.05/10.49  # Starting new_bool_1 with 300s (1) cores
% 65.05/10.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 65.05/10.49  # Search class: FGHSM-SSLM32-DFFFFFNN
% 65.05/10.49  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 65.05/10.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 65.05/10.49  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 27667 completed with status 0
% 65.05/10.49  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 65.05/10.49  # Preprocessing class: FMLMSMSMSSSNFFN.
% 65.05/10.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 65.05/10.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 65.05/10.49  # Starting new_bool_3 with 300s (1) cores
% 65.05/10.49  # Starting new_bool_1 with 300s (1) cores
% 65.05/10.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 65.05/10.49  # Search class: FGHSM-SSLM32-DFFFFFNN
% 65.05/10.49  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 65.05/10.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 65.05/10.49  # Preprocessing time       : 0.025 s
% 65.05/10.49  # Presaturation interreduction done
% 65.05/10.49  
% 65.05/10.49  # Proof found!
% 65.05/10.49  # SZS status ContradictoryAxioms
% 65.05/10.49  # SZS output start CNFRefutation
% See solution above
% 65.05/10.49  # Parsed axioms                        : 5205
% 65.05/10.49  # Removed by relevancy pruning/SinE    : 4042
% 65.05/10.49  # Initial clauses                      : 1737
% 65.05/10.49  # Removed in clause preprocessing      : 72
% 65.05/10.49  # Initial clauses in saturation        : 1665
% 65.05/10.49  # Processed clauses                    : 9885
% 65.05/10.49  # ...of these trivial                  : 289
% 65.05/10.49  # ...subsumed                          : 5189
% 65.05/10.49  # ...remaining for further processing  : 4407
% 65.05/10.49  # Other redundant clauses eliminated   : 10218
% 65.05/10.49  # Clauses deleted for lack of memory   : 0
% 65.05/10.49  # Backward-subsumed                    : 123
% 65.05/10.49  # Backward-rewritten                   : 511
% 65.05/10.49  # Generated clauses                    : 310669
% 65.05/10.49  # ...of the previous two non-redundant : 293088
% 65.05/10.49  # ...aggressively subsumed             : 0
% 65.05/10.49  # Contextual simplify-reflections      : 14
% 65.05/10.49  # Paramodulations                      : 300373
% 65.05/10.49  # Factorizations                       : 17
% 65.05/10.49  # NegExts                              : 0
% 65.05/10.49  # Equation resolutions                 : 10302
% 65.05/10.49  # Total rewrite steps                  : 37801
% 65.05/10.49  # Propositional unsat checks           : 0
% 65.05/10.49  #    Propositional check models        : 0
% 65.05/10.49  #    Propositional check unsatisfiable : 0
% 65.05/10.49  #    Propositional clauses             : 0
% 65.05/10.49  #    Propositional clauses after purity: 0
% 65.05/10.49  #    Propositional unsat core size     : 0
% 65.05/10.49  #    Propositional preprocessing time  : 0.000
% 65.05/10.49  #    Propositional encoding time       : 0.000
% 65.05/10.49  #    Propositional solver time         : 0.000
% 65.05/10.49  #    Success case prop preproc time    : 0.000
% 65.05/10.49  #    Success case prop encoding time   : 0.000
% 65.05/10.49  #    Success case prop solver time     : 0.000
% 65.05/10.49  # Current number of processed clauses  : 2450
% 65.05/10.49  #    Positive orientable unit clauses  : 441
% 65.05/10.49  #    Positive unorientable unit clauses: 43
% 65.05/10.49  #    Negative unit clauses             : 251
% 65.05/10.49  #    Non-unit-clauses                  : 1715
% 65.05/10.49  # Current number of unprocessed clauses: 276498
% 65.05/10.49  # ...number of literals in the above   : 859025
% 65.05/10.49  # Current number of archived formulas  : 0
% 65.05/10.49  # Current number of archived clauses   : 1813
% 65.05/10.49  # Clause-clause subsumption calls (NU) : 680397
% 65.05/10.49  # Rec. Clause-clause subsumption calls : 390964
% 65.05/10.49  # Non-unit clause-clause subsumptions  : 2571
% 65.05/10.49  # Unit Clause-clause subsumption calls : 83868
% 65.05/10.49  # Rewrite failures with RHS unbound    : 0
% 65.05/10.49  # BW rewrite match attempts            : 9190
% 65.05/10.49  # BW rewrite match successes           : 564
% 65.05/10.49  # Condensation attempts                : 0
% 65.05/10.49  # Condensation successes               : 0
% 65.05/10.49  # Termbank termtop insertions          : 8672674
% 65.05/10.49  
% 65.05/10.49  # -------------------------------------------------
% 65.05/10.49  # User time                : 8.358 s
% 65.05/10.49  # System time              : 0.241 s
% 65.05/10.49  # Total time               : 8.599 s
% 65.05/10.49  # Maximum resident set size: 13160 pages
% 65.05/10.49  
% 65.05/10.49  # -------------------------------------------------
% 65.05/10.49  # User time                : 8.587 s
% 65.05/10.49  # System time              : 0.249 s
% 65.05/10.49  # Total time               : 8.836 s
% 65.05/10.49  # Maximum resident set size: 9476 pages
% 65.05/10.49  % E---3.1 exiting
%------------------------------------------------------------------------------