TSTP Solution File: SWW358+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW358+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n024.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 18:14:18 EDT 2024
% Result : ContradictoryAxioms 38.34s 6.73s
% Output : CNFRefutation 38.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 53 unt; 0 def)
% Number of atoms : 87 ( 45 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 46 ( 25 ~; 14 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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,
! [X11,X9] : hAPP(c_Set_OCollect(X9),hAPP(hAPP(c_COMBC(X9,tc_fun(X9,tc_HOL_Obool),tc_HOL_Obool),c_member(X9)),X11)) = X11,
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_Collect__mem__eq) ).
fof(fact_Collect__def,axiom,
! [X29,X9] : hAPP(c_Set_OCollect(X9),X29) = X29,
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_Collect__def) ).
fof(fact_less__irrefl__nat,axiom,
! [X55] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X55),X55)),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_less__irrefl__nat) ).
fof(help_c__COMBC__1,axiom,
! [X35,X28,X29,X9,X23,X7] : hAPP(hAPP(hAPP(c_COMBC(X7,X23,X9),X29),X28),X35) = hAPP(hAPP(X29,X35),X28),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',help_c__COMBC__1) ).
fof(fact_number__of__is__id,axiom,
! [X62] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X62) = X62,
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_number__of__is__id) ).
fof(fact_nat__number__of__def,axiom,
! [X83] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X83) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X83)),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_nat__number__of__def) ).
fof(fact_less__eq__Suc__le__raw,axiom,
! [X57] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X57) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X57)),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_less__eq__Suc__le__raw) ).
fof(fact_finite__nat__set__iff__bounded__le,axiom,
! [X43] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X43))
<=> ? [X44] :
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X43))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X3),X44)) ) ),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.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/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.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/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.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/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_Pls__def) ).
fof(fact_card__infinite,axiom,
! [X11,X9] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X11))
=> hAPP(c_Finite__Set_Ocard(X9),X11) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_card__infinite) ).
fof(fact_Zero__not__Suc,axiom,
! [X56] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X56),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_Zero__not__Suc) ).
fof(fact_rangeI,axiom,
! [X7,X15,X2,X9] : hBOOL(hAPP(hAPP(c_member(X9),hAPP(X2,X15)),hAPP(c_Set_Oimage(X7,X9,X2),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool))))),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_rangeI) ).
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/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_semiring__norm_I115_J) ).
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/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_card__UNIV__bool) ).
fof(fact_finite__imageI,axiom,
! [X6,X7,X8,X9] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X8))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X7),hAPP(c_Set_Oimage(X9,X7,X6),X8))) ),
file('/export/starexec/sandbox/tmp/tmp.rE3jyzyzvk/E---3.1_11380.p',fact_finite__imageI) ).
fof(c_0_17,plain,
! [X3549,X3550] : hAPP(c_Set_OCollect(X3550),hAPP(hAPP(c_COMBC(X3550,tc_fun(X3550,tc_HOL_Obool),tc_HOL_Obool),c_member(X3550)),X3549)) = X3549,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_18,plain,
! [X3547,X3548] : hAPP(c_Set_OCollect(X3548),X3547) = X3547,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_19,plain,
! [X55] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X55),X55)),
inference(fof_simplification,[status(thm)],[fact_less__irrefl__nat]) ).
fof(c_0_20,plain,
! [X3476,X3477,X3478,X3479,X3480,X3481] : hAPP(hAPP(hAPP(c_COMBC(X3481,X3480,X3479),X3478),X3477),X3476) = hAPP(hAPP(X3478,X3476),X3477),
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,
! [X3315] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3315) = X3315,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_24,plain,
! [X2675] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X2675) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X2675)),
inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).
fof(c_0_25,plain,
! [X1264] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1264),X1264)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
fof(c_0_26,plain,
! [X2129] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2129) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2129)),
inference(variable_rename,[status(thm)],[fact_less__eq__Suc__le__raw]) ).
fof(c_0_27,plain,
! [X320,X322,X323,X324] :
( ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X320))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X322),X320))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X322),esk6_1(X320))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk7_2(X323,X324)),X323))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X323)) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),esk7_2(X323,X324)),X324))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X323)) ) ),
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,
! [X11,X9] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X11))
=> hAPP(c_Finite__Set_Ocard(X9),X11) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_simplification,[status(thm)],[fact_card__infinite]) ).
fof(c_0_36,plain,
! [X56] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X56),
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),esk6_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,
! [X445,X446,X447,X448] : hBOOL(hAPP(hAPP(c_member(X448),hAPP(X447,X446)),hAPP(c_Set_Oimage(X445,X448,X447),c_Orderings_Otop__class_Otop(tc_fun(X445,tc_HOL_Obool))))),
inference(variable_rename,[status(thm)],[fact_rangeI]) ).
cnf(c_0_42,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_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,
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_46,plain,
! [X672,X673] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X673),X672))
| hAPP(c_Finite__Set_Ocard(X673),X672) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_47,plain,
! [X2206] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2206),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
cnf(c_0_48,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_49,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),esk6_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_50,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_51,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_52,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_42,c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_53,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_46]) ).
cnf(c_0_54,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
( ~ hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk6_1(X1))))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,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_50,c_0_40]) ).
fof(c_0_57,plain,
! [X337,X338,X339,X340] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X340),X339))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X338),hAPP(c_Set_Oimage(X340,X338,X337),X339))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])])]) ).
cnf(c_0_58,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_43]),c_0_44]),c_0_52]) ).
cnf(c_0_59,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_53,c_0_45]) ).
cnf(c_0_60,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_54,c_0_45]) ).
cnf(c_0_61,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_55,c_0_56]) ).
cnf(c_0_62,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_57]) ).
cnf(c_0_63,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_58,c_0_59]),c_0_60]) ).
cnf(c_0_64,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_61,c_0_62]) ).
cnf(c_0_65,plain,
$false,
inference(sr,[status(thm)],[c_0_63,c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW358+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.12 % Command : run_E %s %d SAT
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:57:39 EDT 2024
% 0.19/0.34 % CPUTime :
% 1.06/1.28 Running first-order model finding
% 1.06/1.28 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.rE3jyzyzvk/E---3.1_11380.p
% 38.34/6.73 # Version: 3.2.0
% 38.34/6.73 # Preprocessing class: FMLMSMSMSSSNFFN.
% 38.34/6.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.34/6.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 38.34/6.73 # Starting new_bool_3 with 300s (1) cores
% 38.34/6.73 # Starting new_bool_1 with 300s (1) cores
% 38.34/6.73 # Starting sh5l with 300s (1) cores
% 38.34/6.73 # new_bool_3 with pid 11458 completed with status 0
% 38.34/6.73 # Result found by new_bool_3
% 38.34/6.73 # Preprocessing class: FMLMSMSMSSSNFFN.
% 38.34/6.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.34/6.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 38.34/6.73 # Starting new_bool_3 with 300s (1) cores
% 38.34/6.73 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 38.34/6.73 # Search class: FGHSM-SMLM33-DFFFFFNN
% 38.34/6.73 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 38.34/6.73 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 38.34/6.73 # SAT001_MinMin_p005000_rr with pid 11462 completed with status 0
% 38.34/6.73 # Result found by SAT001_MinMin_p005000_rr
% 38.34/6.73 # Preprocessing class: FMLMSMSMSSSNFFN.
% 38.34/6.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.34/6.73 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 38.34/6.73 # Starting new_bool_3 with 300s (1) cores
% 38.34/6.73 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 38.34/6.73 # Search class: FGHSM-SMLM33-DFFFFFNN
% 38.34/6.73 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 38.34/6.73 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 38.34/6.73 # Preprocessing time : 0.036 s
% 38.34/6.73 # Presaturation interreduction done
% 38.34/6.73
% 38.34/6.73 # Proof found!
% 38.34/6.73 # SZS status ContradictoryAxioms
% 38.34/6.73 # SZS output start CNFRefutation
% See solution above
% 38.34/6.73 # Parsed axioms : 5228
% 38.34/6.73 # Removed by relevancy pruning/SinE : 3440
% 38.34/6.73 # Initial clauses : 2716
% 38.34/6.73 # Removed in clause preprocessing : 70
% 38.34/6.73 # Initial clauses in saturation : 2646
% 38.34/6.73 # Processed clauses : 15707
% 38.34/6.73 # ...of these trivial : 514
% 38.34/6.73 # ...subsumed : 7552
% 38.34/6.73 # ...remaining for further processing : 7641
% 38.34/6.73 # Other redundant clauses eliminated : 1795
% 38.34/6.73 # Clauses deleted for lack of memory : 0
% 38.34/6.73 # Backward-subsumed : 174
% 38.34/6.73 # Backward-rewritten : 266
% 38.34/6.73 # Generated clauses : 225192
% 38.34/6.73 # ...of the previous two non-redundant : 212794
% 38.34/6.73 # ...aggressively subsumed : 0
% 38.34/6.73 # Contextual simplify-reflections : 18
% 38.34/6.73 # Paramodulations : 223313
% 38.34/6.73 # Factorizations : 10
% 38.34/6.73 # NegExts : 0
% 38.34/6.73 # Equation resolutions : 1887
% 38.34/6.73 # Disequality decompositions : 0
% 38.34/6.73 # Total rewrite steps : 46477
% 38.34/6.73 # ...of those cached : 38006
% 38.34/6.73 # Propositional unsat checks : 1
% 38.34/6.73 # Propositional check models : 0
% 38.34/6.73 # Propositional check unsatisfiable : 0
% 38.34/6.73 # Propositional clauses : 0
% 38.34/6.73 # Propositional clauses after purity: 0
% 38.34/6.73 # Propositional unsat core size : 0
% 38.34/6.73 # Propositional preprocessing time : 0.000
% 38.34/6.73 # Propositional encoding time : 0.190
% 38.34/6.73 # Propositional solver time : 0.070
% 38.34/6.73 # Success case prop preproc time : 0.000
% 38.34/6.73 # Success case prop encoding time : 0.000
% 38.34/6.73 # Success case prop solver time : 0.000
% 38.34/6.73 # Current number of processed clauses : 5013
% 38.34/6.73 # Positive orientable unit clauses : 705
% 38.34/6.73 # Positive unorientable unit clauses: 48
% 38.34/6.73 # Negative unit clauses : 666
% 38.34/6.73 # Non-unit-clauses : 3594
% 38.34/6.73 # Current number of unprocessed clauses: 189076
% 38.34/6.73 # ...number of literals in the above : 517582
% 38.34/6.73 # Current number of archived formulas : 0
% 38.34/6.73 # Current number of archived clauses : 2422
% 38.34/6.73 # Clause-clause subsumption calls (NU) : 1033198
% 38.34/6.73 # Rec. Clause-clause subsumption calls : 611081
% 38.34/6.73 # Non-unit clause-clause subsumptions : 3438
% 38.34/6.73 # Unit Clause-clause subsumption calls : 64329
% 38.34/6.73 # Rewrite failures with RHS unbound : 234
% 38.34/6.73 # BW rewrite match attempts : 13496
% 38.34/6.73 # BW rewrite match successes : 679
% 38.34/6.73 # Condensation attempts : 0
% 38.34/6.73 # Condensation successes : 0
% 38.34/6.73 # Termbank termtop insertions : 6494345
% 38.34/6.73 # Search garbage collected termcells : 68371
% 38.34/6.73
% 38.34/6.73 # -------------------------------------------------
% 38.34/6.73 # User time : 4.971 s
% 38.34/6.73 # System time : 0.174 s
% 38.34/6.73 # Total time : 5.144 s
% 38.34/6.73 # Maximum resident set size: 17264 pages
% 38.34/6.73
% 38.34/6.73 # -------------------------------------------------
% 38.34/6.73 # User time : 5.178 s
% 38.34/6.73 # System time : 0.180 s
% 38.34/6.73 # Total time : 5.359 s
% 38.34/6.73 # Maximum resident set size: 9472 pages
% 38.34/6.73 % E---3.1 exiting
% 38.34/6.73 % E exiting
%------------------------------------------------------------------------------