TSTP Solution File: SWW366+1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW366+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : Mon Jun 24 18:11:46 EDT 2024
% Result : ContradictoryAxioms 26.56s 5.40s
% Output : CNFRefutation 26.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 54 unt; 0 def)
% Number of atoms : 88 ( 46 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 46 ( 25 ~; 14 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-3 aty)
% Number of variables : 108 ( 12 sgn 60 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__mem__eq,axiom,
! [X13,X11] : hAPP(c_Set_OCollect(X11),hAPP(hAPP(c_COMBC(X11,tc_fun(X11,tc_HOL_Obool),tc_HOL_Obool),c_member(X11)),X13)) = X13,
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_Collect__mem__eq) ).
fof(fact_Collect__def,axiom,
! [X44,X11] : hAPP(c_Set_OCollect(X11),X44) = X44,
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_Collect__def) ).
fof(fact_less__not__refl,axiom,
! [X25] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X25),X25)),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_less__not__refl) ).
fof(help_c__COMBC__1,axiom,
! [X29,X43,X44,X11,X19,X9] : hAPP(hAPP(hAPP(c_COMBC(X9,X19,X11),X44),X43),X29) = hAPP(hAPP(X44,X29),X43),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',help_c__COMBC__1) ).
fof(fact_number__of__is__id,axiom,
! [X33] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X33) = X33,
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_number__of__is__id) ).
fof(fact_nat__number__of__def,axiom,
! [X68] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X68) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X68)),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_nat__number__of__def) ).
fof(fact_less__eq__Suc__le__raw,axiom,
! [X30] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X30) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X30)),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_less__eq__Suc__le__raw) ).
fof(fact_finite__nat__set__iff__bounded__le,axiom,
! [X53] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X53))
<=> ? [X74] :
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X53))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X74)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_finite__nat__set__iff__bounded__le) ).
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/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_one__is__num__one) ).
fof(fact_transfer__nat__int__numerals_I1_J,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_transfer__nat__int__numerals_I1_J) ).
fof(fact_Pls__def,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_Pls__def) ).
fof(fact_card__infinite,axiom,
! [X13,X11] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X11),X13))
=> hAPP(c_Finite__Set_Ocard(X11),X13) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_card__infinite) ).
fof(fact_Zero__not__Suc,axiom,
! [X24] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X24),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_Zero__not__Suc) ).
fof(fact_rangeI,axiom,
! [X9,X12,X2,X11] : hBOOL(hAPP(hAPP(c_member(X11),hAPP(X2,X12)),hAPP(c_Set_Oimage(X9,X11,X2),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool))))),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_rangeI) ).
fof(fact_card__UNIV__bool,axiom,
hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_card__UNIV__bool) ).
fof(fact_semiring__norm_I115_J,axiom,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_semiring__norm_I115_J) ).
fof(fact_finite__imageI,axiom,
! [X8,X9,X10,X11] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X11),X10))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X9),hAPP(c_Set_Oimage(X11,X9,X8),X10))) ),
file('/export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p',fact_finite__imageI) ).
fof(c_0_17,plain,
! [X3568,X3569] : hAPP(c_Set_OCollect(X3569),hAPP(hAPP(c_COMBC(X3569,tc_fun(X3569,tc_HOL_Obool),tc_HOL_Obool),c_member(X3569)),X3568)) = X3568,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_18,plain,
! [X3570,X3571] : hAPP(c_Set_OCollect(X3571),X3570) = X3570,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_19,plain,
! [X25] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X25),X25)),
inference(fof_simplification,[status(thm)],[fact_less__not__refl]) ).
fof(c_0_20,plain,
! [X3500,X3501,X3502,X3503,X3504,X3505] : hAPP(hAPP(hAPP(c_COMBC(X3505,X3504,X3503),X3502),X3501),X3500) = hAPP(hAPP(X3502,X3500),X3501),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
cnf(c_0_21,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_17]) ).
cnf(c_0_22,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X3339] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3339) = X3339,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_24,plain,
! [X2827] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2827) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X2827)),
inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).
fof(c_0_25,plain,
! [X1407] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1407),X1407)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
fof(c_0_26,plain,
! [X1305] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1305) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1305)),
inference(variable_rename,[status(thm)],[fact_less__eq__Suc__le__raw]) ).
fof(c_0_27,plain,
! [X333,X335,X336,X337] :
( ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X333))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X335),X333))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X335),esk10_1(X333))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk11_2(X336,X337)),X336))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X336)) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk11_2(X336,X337)),X337))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X336)) ) ),
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)],[fact_finite__nat__set__iff__bounded__le])])])])])])]) ).
cnf(c_0_28,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,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_21,c_0_22]) ).
cnf(c_0_30,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_31,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J]) ).
cnf(c_0_34,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_35,plain,
! [X13,X11] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X11),X13))
=> hAPP(c_Finite__Set_Ocard(X11),X13) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_simplification,[status(thm)],[fact_card__infinite]) ).
fof(c_0_36,plain,
! [X24] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X24),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_37,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,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_26]) ).
cnf(c_0_39,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),esk10_1(X1)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_41,plain,
! [X654,X655,X656,X657] : hBOOL(hAPP(hAPP(c_member(X657),hAPP(X656,X655)),hAPP(c_Set_Oimage(X654,X657,X656),c_Orderings_Otop__class_Otop(tc_fun(X654,tc_HOL_Obool))))),
inference(variable_rename,[status(thm)],[fact_rangeI]) ).
cnf(c_0_42,plain,
hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
inference(split_conjunct,[status(thm)],[fact_card__UNIV__bool]) ).
cnf(c_0_43,plain,
c_Int_OBit1(c_Int_OPls) = c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_44,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,X1),
inference(rw,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_45,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
inference(split_conjunct,[status(thm)],[fact_semiring__norm_I115_J]) ).
cnf(c_0_46,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_47,plain,
! [X748,X749] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X749),X748))
| hAPP(c_Finite__Set_Ocard(X749),X748) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_48,plain,
! [X1348] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1348),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
cnf(c_0_49,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X1)),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_50,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk10_1(X2)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,plain,
hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onat,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_53,plain,
hAPP(c_Int_Onat,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_43]),c_0_44]),c_0_46]) ).
cnf(c_0_54,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| hAPP(c_Finite__Set_Ocard(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
( ~ hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk10_1(X1))))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,plain,
hBOOL(hAPP(hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(X3,X4))),
inference(rw,[status(thm)],[c_0_51,c_0_40]) ).
fof(c_0_58,plain,
! [X562,X563,X564,X565] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X565),X564))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X563),hAPP(c_Set_Oimage(X565,X563,X562),X564))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])])]) ).
cnf(c_0_59,plain,
hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
( hAPP(c_Finite__Set_Ocard(X1),X2) = hAPP(c_Int_Onat,c_Int_OPls)
| hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(rw,[status(thm)],[c_0_54,c_0_46]) ).
cnf(c_0_61,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_62,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(X1,X2,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_65,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
$false,
inference(sr,[status(thm)],[c_0_64,c_0_65]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW366+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Jun 19 05:35:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 1.08/1.30 Running first-order theorem proving
% 1.08/1.30 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ewlQxzAsGI/E---3.1_1325.p
% 26.56/5.40 # Version: 3.2.0
% 26.56/5.40 # Preprocessing class: FMLMSMSMSSSNFFN.
% 26.56/5.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.56/5.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 26.56/5.40 # Starting new_bool_3 with 300s (1) cores
% 26.56/5.40 # Starting new_bool_1 with 300s (1) cores
% 26.56/5.40 # Starting sh5l with 300s (1) cores
% 26.56/5.40 # new_bool_1 with pid 1407 completed with status 0
% 26.56/5.40 # Result found by new_bool_1
% 26.56/5.40 # Preprocessing class: FMLMSMSMSSSNFFN.
% 26.56/5.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.56/5.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 26.56/5.40 # Starting new_bool_3 with 300s (1) cores
% 26.56/5.40 # Starting new_bool_1 with 300s (1) cores
% 26.56/5.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 26.56/5.40 # Search class: FGHSM-SMLM33-DFFFFFNN
% 26.56/5.40 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 26.56/5.40 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 26.56/5.40 # SAT001_MinMin_p005000_rr with pid 1410 completed with status 0
% 26.56/5.40 # Result found by SAT001_MinMin_p005000_rr
% 26.56/5.40 # Preprocessing class: FMLMSMSMSSSNFFN.
% 26.56/5.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.56/5.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 26.56/5.40 # Starting new_bool_3 with 300s (1) cores
% 26.56/5.40 # Starting new_bool_1 with 300s (1) cores
% 26.56/5.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 26.56/5.40 # Search class: FGHSM-SMLM33-DFFFFFNN
% 26.56/5.40 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 26.56/5.40 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 26.56/5.40 # Preprocessing time : 0.044 s
% 26.56/5.40 # Presaturation interreduction done
% 26.56/5.40
% 26.56/5.40 # Proof found!
% 26.56/5.40 # SZS status ContradictoryAxioms
% 26.56/5.40 # SZS output start CNFRefutation
% See solution above
% 26.56/5.40 # Parsed axioms : 5231
% 26.56/5.40 # Removed by relevancy pruning/SinE : 3422
% 26.56/5.40 # Initial clauses : 2744
% 26.56/5.40 # Removed in clause preprocessing : 70
% 26.56/5.40 # Initial clauses in saturation : 2674
% 26.56/5.40 # Processed clauses : 11120
% 26.56/5.40 # ...of these trivial : 391
% 26.56/5.40 # ...subsumed : 5321
% 26.56/5.40 # ...remaining for further processing : 5408
% 26.56/5.40 # Other redundant clauses eliminated : 3461
% 26.56/5.40 # Clauses deleted for lack of memory : 0
% 26.56/5.40 # Backward-subsumed : 295
% 26.56/5.40 # Backward-rewritten : 364
% 26.56/5.40 # Generated clauses : 157663
% 26.56/5.40 # ...of the previous two non-redundant : 148290
% 26.56/5.40 # ...aggressively subsumed : 0
% 26.56/5.40 # Contextual simplify-reflections : 30
% 26.56/5.40 # Paramodulations : 154179
% 26.56/5.40 # Factorizations : 16
% 26.56/5.40 # NegExts : 0
% 26.56/5.40 # Equation resolutions : 3489
% 26.56/5.40 # Disequality decompositions : 0
% 26.56/5.40 # Total rewrite steps : 25105
% 26.56/5.40 # ...of those cached : 19505
% 26.56/5.40 # Propositional unsat checks : 1
% 26.56/5.40 # Propositional check models : 0
% 26.56/5.40 # Propositional check unsatisfiable : 0
% 26.56/5.40 # Propositional clauses : 0
% 26.56/5.40 # Propositional clauses after purity: 0
% 26.56/5.40 # Propositional unsat core size : 0
% 26.56/5.40 # Propositional preprocessing time : 0.000
% 26.56/5.40 # Propositional encoding time : 0.213
% 26.56/5.40 # Propositional solver time : 0.107
% 26.56/5.40 # Success case prop preproc time : 0.000
% 26.56/5.40 # Success case prop encoding time : 0.000
% 26.56/5.40 # Success case prop solver time : 0.000
% 26.56/5.40 # Current number of processed clauses : 2539
% 26.56/5.40 # Positive orientable unit clauses : 578
% 26.56/5.40 # Positive unorientable unit clauses: 47
% 26.56/5.40 # Negative unit clauses : 201
% 26.56/5.40 # Non-unit-clauses : 1713
% 26.56/5.40 # Current number of unprocessed clauses: 121140
% 26.56/5.40 # ...number of literals in the above : 337996
% 26.56/5.40 # Current number of archived formulas : 0
% 26.56/5.40 # Current number of archived clauses : 2662
% 26.56/5.40 # Clause-clause subsumption calls (NU) : 591346
% 26.56/5.40 # Rec. Clause-clause subsumption calls : 375230
% 26.56/5.40 # Non-unit clause-clause subsumptions : 3887
% 26.56/5.40 # Unit Clause-clause subsumption calls : 14352
% 26.56/5.40 # Rewrite failures with RHS unbound : 371
% 26.56/5.40 # BW rewrite match attempts : 12548
% 26.56/5.40 # BW rewrite match successes : 788
% 26.56/5.40 # Condensation attempts : 0
% 26.56/5.40 # Condensation successes : 0
% 26.56/5.40 # Termbank termtop insertions : 4371395
% 26.56/5.40 # Search garbage collected termcells : 68490
% 26.56/5.40
% 26.56/5.40 # -------------------------------------------------
% 26.56/5.40 # User time : 3.652 s
% 26.56/5.40 # System time : 0.138 s
% 26.56/5.40 # Total time : 3.790 s
% 26.56/5.40 # Maximum resident set size: 17304 pages
% 26.56/5.40
% 26.56/5.40 # -------------------------------------------------
% 26.56/5.40 # User time : 3.788 s
% 26.56/5.40 # System time : 0.147 s
% 26.56/5.40 # Total time : 3.935 s
% 26.56/5.40 # Maximum resident set size: 9480 pages
% 26.56/5.40 % E---3.1 exiting
% 26.56/5.40 % E exiting
%------------------------------------------------------------------------------