TSTP Solution File: SWW357+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW357+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 18:11:44 EDT 2024
% Result : ContradictoryAxioms 61.57s 9.51s
% Output : CNFRefutation 61.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 87 ( 70 unt; 0 def)
% Number of atoms : 106 ( 86 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 29 ~; 15 |; 1 &)
% ( 2 <=>; 1 =>; 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 : 23 ( 23 usr; 10 con; 0-3 aty)
% Number of variables : 147 ( 15 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X42,X11] :
( hAPP(c_Set_OCollect(X11),X42) = c_Orderings_Obot__class_Obot(tc_fun(X11,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X42,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_Collect__empty__eq) ).
fof(fact_empty__def,axiom,
! [X11] : c_Orderings_Obot__class_Obot(tc_fun(X11,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X11),hAPP(c_COMBK(tc_HOL_Obool,X11),c_fFalse)),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X42,X11] : hAPP(c_Set_OCollect(X11),X42) = X42,
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X42,X11] : hAPP(c_Set_OCollect(X11),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X11),c_fNot),X42)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X11,tc_HOL_Obool)),hAPP(c_Set_OCollect(X11),X42)),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_Collect__neg__eq) ).
fof(fact_vimage__Collect__eq,axiom,
! [X42,X2,X9,X11] : hAPP(c_Set_Ovimage(X11,X9,X2),hAPP(c_Set_OCollect(X9),X42)) = hAPP(c_Set_OCollect(X11),hAPP(hAPP(c_COMBB(X9,tc_HOL_Obool,X11),X42),X2)),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_vimage__Collect__eq) ).
fof(help_c__COMBK__1,axiom,
! [X280,X279,X11,X33] : hAPP(hAPP(c_COMBK(X33,X11),X279),X280) = X279,
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X12,X11] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X11,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X11,tc_HOL_Obool)),X12)) = X12,
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_double__complement) ).
fof(fact_vimage__id,axiom,
! [X12,X11] : hAPP(c_Set_Ovimage(X11,X11,c_Fun_Oid(X11)),X12) = X12,
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_vimage__id) ).
fof(help_c__fNot__1,axiom,
! [X42] :
( ~ hBOOL(hAPP(c_fNot,X42))
| ~ hBOOL(X42) ),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',help_c__fNot__1) ).
fof(fact_Zero__not__Suc,axiom,
! [X19] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X19),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_Zero__not__Suc) ).
fof(fact_number__of__is__id,axiom,
! [X20] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X20) = X20,
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_number__of__is__id) ).
fof(fact_add__eq__self__zero,axiom,
! [X7,X19] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X7) = X19
=> X7 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_add__eq__self__zero) ).
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.NdcGJdvUxJ/E---3.1_31578.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.NdcGJdvUxJ/E---3.1_31578.p',fact_Pls__def) ).
fof(fact_id__def,axiom,
! [X174,X33] : hAPP(c_Fun_Oid(X33),X174) = X174,
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_id__def) ).
fof(help_c__COMBB__1,axiom,
! [X41,X46,X42,X23,X11,X9] : hAPP(hAPP(hAPP(c_COMBB(X9,X11,X23),X42),X46),X41) = hAPP(X42,hAPP(X46,X41)),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',help_c__COMBB__1) ).
fof(fact_neg__number__of__Min,axiom,
hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_neg__number__of__Min) ).
fof(fact_add__Suc__right,axiom,
! [X7,X19] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),hAPP(c_Nat_OSuc,X7)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X7)),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X19] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X19,
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X7] : X7 != hAPP(c_Nat_OSuc,X7),
file('/export/starexec/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p',fact_n__not__Suc__n) ).
fof(c_0_20,plain,
! [X42,X11] :
( hAPP(c_Set_OCollect(X11),X42) = c_Orderings_Obot__class_Obot(tc_fun(X11,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X42,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_21,plain,
! [X15094] : c_Orderings_Obot__class_Obot(tc_fun(X15094,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15094),hAPP(c_COMBK(tc_HOL_Obool,X15094),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_22,plain,
! [X4889,X4890] : hAPP(c_Set_OCollect(X4890),X4889) = X4889,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_23,plain,
! [X4874,X4875] : hAPP(c_Set_OCollect(X4875),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4875),c_fNot),X4874)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4875,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4875),X4874)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_24,plain,
! [X4885,X4886,X4887,X4888] : hAPP(c_Set_Ovimage(X4888,X4887,X4886),hAPP(c_Set_OCollect(X4887),X4885)) = hAPP(c_Set_OCollect(X4888),hAPP(hAPP(c_COMBB(X4887,tc_HOL_Obool,X4888),X4885),X4886)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
fof(c_0_25,plain,
! [X605,X606,X607,X608,X610] :
( ( hAPP(c_Set_OCollect(X606),X605) != c_Orderings_Obot__class_Obot(tc_fun(X606,tc_HOL_Obool))
| ~ hBOOL(hAPP(X605,X607)) )
& ( hBOOL(hAPP(X608,esk20_1(X608)))
| hAPP(c_Set_OCollect(X610),X608) = c_Orderings_Obot__class_Obot(tc_fun(X610,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_20])])])])])]) ).
fof(c_0_26,plain,
! [X5495,X5496,X5497,X5498] : hAPP(hAPP(c_COMBK(X5498,X5497),X5496),X5495) = X5496,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_27,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X3349,X3350] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3350,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3350,tc_HOL_Obool)),X3349)) = X3349,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_30,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_23]) ).
fof(c_0_31,plain,
! [X10587,X10588] : hAPP(c_Set_Ovimage(X10588,X10588,c_Fun_Oid(X10588)),X10587) = X10587,
inference(variable_rename,[status(thm)],[fact_vimage__id]) ).
cnf(c_0_32,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Set_OCollect(X2),X4)) = hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,plain,
! [X42] :
( ~ hBOOL(hAPP(c_fNot,X42))
| ~ hBOOL(X42) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_34,plain,
( hBOOL(hAPP(X1,esk20_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_25]) ).
cnf(c_0_35,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_37,plain,
! [X19] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X19),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
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_29]) ).
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_30,c_0_28]),c_0_28]) ).
cnf(c_0_40,plain,
hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_28]),c_0_28]) ).
fof(c_0_42,plain,
! [X11625] :
( ~ hBOOL(hAPP(c_fNot,X11625))
| ~ hBOOL(X11625) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).
cnf(c_0_43,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk20_1(X1))) ),
inference(rw,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_44,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_45,plain,
! [X3174] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3174) = X3174,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_46,plain,
! [X1196,X1197] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1197),X1196) != X1197
| X1196 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])]) ).
cnf(c_0_47,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_48,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_49,plain,
! [X1215] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1215),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_50,plain,
! [X10579,X10580] : hAPP(c_Fun_Oid(X10580),X10579) = X10579,
inference(variable_rename,[status(thm)],[fact_id__def]) ).
cnf(c_0_51,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]) ).
cnf(c_0_52,plain,
hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_53,plain,
! [X4424,X4425,X4426,X4427,X4428,X4429] : hAPP(hAPP(hAPP(c_COMBB(X4429,X4428,X4427),X4426),X4425),X4424) = hAPP(X4426,hAPP(X4425,X4424)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_54,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_43]),c_0_44]),c_0_35]) ).
cnf(c_0_56,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))),
inference(split_conjunct,[status(thm)],[fact_neg__number__of__Min]) ).
cnf(c_0_57,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,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_46]) ).
cnf(c_0_59,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_60,plain,
! [X1584,X1585] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1585),hAPP(c_Nat_OSuc,X1584)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1585),X1584)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_61,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
hAPP(c_Fun_Oid(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
c_Fun_Oid(tc_HOL_Obool) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_HOL_Obool),c_fNot),c_fNot),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_64,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_66,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
( X1 = hAPP(c_Int_Onat,c_Int_OPls)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != X2 ),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,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_60]) ).
cnf(c_0_69,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_61,c_0_59]) ).
fof(c_0_70,plain,
! [X1193] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1193),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1193,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_71,plain,
! [X7] : X7 != hAPP(c_Nat_OSuc,X7),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_72,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_73,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,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_67,c_0_68]),c_0_69]) ).
cnf(c_0_75,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_70]) ).
fof(c_0_76,plain,
! [X5715] : X5715 != hAPP(c_Nat_OSuc,X5715),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_71])]) ).
cnf(c_0_77,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_65,c_0_55]) ).
cnf(c_0_78,plain,
hAPP(c_fNot,c_fFalse) = hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,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_74,c_0_68]) ).
cnf(c_0_80,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Int_Onat,c_Int_OPls)) = X1,
inference(rw,[status(thm)],[c_0_75,c_0_59]) ).
cnf(c_0_81,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| c_fFalse = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_77]),c_0_78]) ).
cnf(c_0_83,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_85,plain,
hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) != hAPP(c_Nat_OSuc,c_fFalse),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_86,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_82])]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW357+1 : TPTP v8.2.0. Released v5.2.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n017.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 06:45:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.08/1.25 Running first-order theorem proving
% 1.08/1.25 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.NdcGJdvUxJ/E---3.1_31578.p
% 61.57/9.51 # Version: 3.2.0
% 61.57/9.51 # Preprocessing class: FMLMSMSMSSSNFFN.
% 61.57/9.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.57/9.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 61.57/9.51 # Starting new_bool_3 with 300s (1) cores
% 61.57/9.51 # Starting new_bool_1 with 300s (1) cores
% 61.57/9.51 # Starting sh5l with 300s (1) cores
% 61.57/9.51 # sh5l with pid 31666 completed with status 0
% 61.57/9.51 # Result found by sh5l
% 61.57/9.51 # Preprocessing class: FMLMSMSMSSSNFFN.
% 61.57/9.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.57/9.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 61.57/9.51 # Starting new_bool_3 with 300s (1) cores
% 61.57/9.51 # Starting new_bool_1 with 300s (1) cores
% 61.57/9.51 # Starting sh5l with 300s (1) cores
% 61.57/9.51 # SinE strategy is gf500_gu_R04_F100_L20000
% 61.57/9.51 # Search class: FGHSM-SMLM33-DFFFFFNN
% 61.57/9.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 61.57/9.51 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 61.57/9.51 # SAT001_MinMin_p005000_rr with pid 31669 completed with status 0
% 61.57/9.51 # Result found by SAT001_MinMin_p005000_rr
% 61.57/9.51 # Preprocessing class: FMLMSMSMSSSNFFN.
% 61.57/9.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.57/9.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 61.57/9.51 # Starting new_bool_3 with 300s (1) cores
% 61.57/9.51 # Starting new_bool_1 with 300s (1) cores
% 61.57/9.51 # Starting sh5l with 300s (1) cores
% 61.57/9.51 # SinE strategy is gf500_gu_R04_F100_L20000
% 61.57/9.51 # Search class: FGHSM-SMLM33-DFFFFFNN
% 61.57/9.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 61.57/9.51 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 61.57/9.51 # Preprocessing time : 0.142 s
% 61.57/9.51 # Presaturation interreduction done
% 61.57/9.51
% 61.57/9.51 # Proof found!
% 61.57/9.51 # SZS status ContradictoryAxioms
% 61.57/9.51 # SZS output start CNFRefutation
% See solution above
% 61.57/9.51 # Parsed axioms : 5226
% 61.57/9.51 # Removed by relevancy pruning/SinE : 714
% 61.57/9.51 # Initial clauses : 6591
% 61.57/9.51 # Removed in clause preprocessing : 183
% 61.57/9.51 # Initial clauses in saturation : 6408
% 61.57/9.51 # Processed clauses : 20486
% 61.57/9.51 # ...of these trivial : 486
% 61.57/9.51 # ...subsumed : 6945
% 61.57/9.51 # ...remaining for further processing : 13055
% 61.57/9.51 # Other redundant clauses eliminated : 1364
% 61.57/9.51 # Clauses deleted for lack of memory : 0
% 61.57/9.51 # Backward-subsumed : 610
% 61.57/9.51 # Backward-rewritten : 428
% 61.57/9.51 # Generated clauses : 218125
% 61.57/9.51 # ...of the previous two non-redundant : 207032
% 61.57/9.51 # ...aggressively subsumed : 0
% 61.57/9.51 # Contextual simplify-reflections : 35
% 61.57/9.51 # Paramodulations : 216775
% 61.57/9.51 # Factorizations : 10
% 61.57/9.51 # NegExts : 0
% 61.57/9.51 # Equation resolutions : 1397
% 61.57/9.51 # Disequality decompositions : 0
% 61.57/9.51 # Total rewrite steps : 57670
% 61.57/9.51 # ...of those cached : 41675
% 61.57/9.51 # Propositional unsat checks : 3
% 61.57/9.51 # Propositional check models : 2
% 61.57/9.51 # Propositional check unsatisfiable : 0
% 61.57/9.51 # Propositional clauses : 0
% 61.57/9.51 # Propositional clauses after purity: 0
% 61.57/9.51 # Propositional unsat core size : 0
% 61.57/9.51 # Propositional preprocessing time : 0.000
% 61.57/9.51 # Propositional encoding time : 0.172
% 61.57/9.51 # Propositional solver time : 0.078
% 61.57/9.51 # Success case prop preproc time : 0.000
% 61.57/9.51 # Success case prop encoding time : 0.000
% 61.57/9.51 # Success case prop solver time : 0.000
% 61.57/9.51 # Current number of processed clauses : 6430
% 61.57/9.51 # Positive orientable unit clauses : 1439
% 61.57/9.51 # Positive unorientable unit clauses: 108
% 61.57/9.51 # Negative unit clauses : 889
% 61.57/9.51 # Non-unit-clauses : 3994
% 61.57/9.51 # Current number of unprocessed clauses: 185926
% 61.57/9.51 # ...number of literals in the above : 417811
% 61.57/9.51 # Current number of archived formulas : 0
% 61.57/9.51 # Current number of archived clauses : 6190
% 61.57/9.51 # Clause-clause subsumption calls (NU) : 4987976
% 61.57/9.51 # Rec. Clause-clause subsumption calls : 2227610
% 61.57/9.51 # Non-unit clause-clause subsumptions : 4013
% 61.57/9.51 # Unit Clause-clause subsumption calls : 287592
% 61.57/9.51 # Rewrite failures with RHS unbound : 514
% 61.57/9.51 # BW rewrite match attempts : 35572
% 61.57/9.51 # BW rewrite match successes : 1354
% 61.57/9.51 # Condensation attempts : 0
% 61.57/9.51 # Condensation successes : 0
% 61.57/9.51 # Termbank termtop insertions : 6432046
% 61.57/9.51 # Search garbage collected termcells : 96107
% 61.57/9.51
% 61.57/9.51 # -------------------------------------------------
% 61.57/9.51 # User time : 7.695 s
% 61.57/9.51 # System time : 0.251 s
% 61.57/9.51 # Total time : 7.946 s
% 61.57/9.51 # Maximum resident set size: 37252 pages
% 61.57/9.51
% 61.57/9.51 # -------------------------------------------------
% 61.57/9.51 # User time : 7.851 s
% 61.57/9.51 # System time : 0.266 s
% 61.57/9.51 # Total time : 8.117 s
% 61.57/9.51 # Maximum resident set size: 9468 pages
% 61.57/9.51 % E---3.1 exiting
% 61.57/9.51 % E exiting
%------------------------------------------------------------------------------