TSTP Solution File: SWW361+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW361+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 20:11:08 EDT 2023
% Result : ContradictoryAxioms 76.66s 12.14s
% Output : CNFRefutation 76.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 77 ( 60 unt; 0 def)
% Number of atoms : 96 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 27 ~; 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 : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 123 ( 14 sgn; 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X20,X7] :
( hAPP(c_Set_OCollect(X7),X20) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X20,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_Collect__empty__eq) ).
fof(fact_empty__def,axiom,
! [X7] : c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X7),hAPP(c_COMBK(tc_HOL_Obool,X7),c_fFalse)),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X20,X7] : hAPP(c_Set_OCollect(X7),X20) = X20,
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X20,X7] : hAPP(c_Set_OCollect(X7),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X7),c_fNot),X20)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Set_OCollect(X7),X20)),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X281,X280,X7,X23] : hAPP(hAPP(c_COMBK(X23,X7),X280),X281) = X280,
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X9,X7] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),X9)) = X9,
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X20] :
( ~ hBOOL(hAPP(c_fNot,X20))
| ~ hBOOL(X20) ),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',help_c__fNot__1) ).
fof(help_c__COMBB__1,axiom,
! [X144,X131,X20,X93,X7,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X7,X93),X20),X131),X144) = hAPP(X20,hAPP(X131,X144)),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',help_c__COMBB__1) ).
fof(fact_number__of__is__id,axiom,
! [X53] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X53) = X53,
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_number__of__is__id) ).
fof(fact_add__eq__self__zero,axiom,
! [X52,X54] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X54),X52) = X54
=> X52 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.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/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.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.gUnyqFbfgP/E---3.1_7442.p',fact_Pls__def) ).
fof(fact_Zero__neq__Suc,axiom,
! [X54] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X54),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_Zero__neq__Suc) ).
fof(fact_rev__rev__ident,axiom,
! [X202,X23] : hAPP(c_List_Orev(X23),hAPP(c_List_Orev(X23),X202)) = X202,
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_rev__rev__ident) ).
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/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_neg__number__of__Min) ).
fof(fact_add__Suc__right,axiom,
! [X52,X54] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X54),hAPP(c_Nat_OSuc,X52)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X54),X52)),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X54] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X54),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X54,
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X52] : X52 != hAPP(c_Nat_OSuc,X52),
file('/export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p',fact_n__not__Suc__n) ).
fof(c_0_18,plain,
! [X20,X7] :
( hAPP(c_Set_OCollect(X7),X20) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X20,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_19,plain,
! [X15093] : c_Orderings_Obot__class_Obot(tc_fun(X15093,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15093),hAPP(c_COMBK(tc_HOL_Obool,X15093),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X4790,X4791] : hAPP(c_Set_OCollect(X4791),X4790) = X4790,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X4788,X4789] : hAPP(c_Set_OCollect(X4789),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4789),c_fNot),X4788)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4789,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4789),X4788)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X603,X604,X605,X606,X608] :
( ( hAPP(c_Set_OCollect(X604),X603) != c_Orderings_Obot__class_Obot(tc_fun(X604,tc_HOL_Obool))
| ~ hBOOL(hAPP(X603,X605)) )
& ( hBOOL(hAPP(X606,esk18_1(X606)))
| hAPP(c_Set_OCollect(X608),X606) = c_Orderings_Obot__class_Obot(tc_fun(X608,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_18])])])])]) ).
fof(c_0_23,plain,
! [X6374,X6375,X6376,X6377] : hAPP(hAPP(c_COMBK(X6377,X6376),X6375),X6374) = X6375,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_24,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_19]) ).
cnf(c_0_25,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X3510,X3511] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3511,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3511,tc_HOL_Obool)),X3510)) = X3510,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_27,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_21]) ).
fof(c_0_28,plain,
! [X20] :
( ~ hBOOL(hAPP(c_fNot,X20))
| ~ hBOOL(X20) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_29,plain,
( hBOOL(hAPP(X1,esk18_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_22]) ).
cnf(c_0_30,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,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_24,c_0_25]) ).
fof(c_0_32,plain,
! [X4584,X4585,X4586,X4587,X4588,X4589] : hAPP(hAPP(hAPP(c_COMBB(X4589,X4588,X4587),X4586),X4585),X4584) = hAPP(X4586,hAPP(X4585,X4584)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_33,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_26]) ).
cnf(c_0_34,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_27,c_0_25]),c_0_25]) ).
fof(c_0_35,plain,
! [X10603] :
( ~ hBOOL(hAPP(c_fNot,X10603))
| ~ hBOOL(X10603) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk18_1(X1))) ),
inference(rw,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_37,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_38,plain,
! [X3312] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3312) = X3312,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_39,plain,
! [X2280,X2281] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2281),X2280) != X2281
| X2280 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])]) ).
cnf(c_0_40,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_41,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_42,plain,
! [X2219] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2219),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
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_32]) ).
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_33,c_0_34]),c_0_34]) ).
fof(c_0_45,plain,
! [X11390,X11391] : hAPP(c_List_Orev(X11391),hAPP(c_List_Orev(X11391),X11390)) = X11390,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_46,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_37]),c_0_30]) ).
cnf(c_0_48,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_49,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,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_39]) ).
cnf(c_0_51,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_52,plain,
! [X2262,X2263] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2263),hAPP(c_Nat_OSuc,X2262)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2263),X2262)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_53,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,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_55,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,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_50,c_0_51]) ).
cnf(c_0_59,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_52]) ).
cnf(c_0_60,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_53,c_0_51]) ).
fof(c_0_61,plain,
! [X2277] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2277),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2277,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_62,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,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_58,c_0_59]),c_0_60]) ).
cnf(c_0_65,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_61]) ).
fof(c_0_66,plain,
! [X5604] : X5604 != hAPP(c_Nat_OSuc,X5604),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_67,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_56,c_0_47]) ).
cnf(c_0_68,plain,
hAPP(c_fNot,c_fFalse) = hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,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_64,c_0_59]) ).
cnf(c_0_70,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_65,c_0_51]) ).
cnf(c_0_71,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| c_fFalse = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_67]),c_0_68]) ).
cnf(c_0_73,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,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_71,c_0_72])]) ).
cnf(c_0_75,plain,
hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) != hAPP(c_Nat_OSuc,c_fFalse),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_76,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_72])]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SWW361+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n026.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 22:28:59 EDT 2023
% 0.09/0.30 % CPUTime :
% 1.30/1.50 Running first-order model finding
% 1.30/1.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.gUnyqFbfgP/E---3.1_7442.p
% 76.66/12.14 # Version: 3.1pre001
% 76.66/12.14 # Preprocessing class: FMLMSMSMSSSNFFN.
% 76.66/12.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.66/12.14 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 76.66/12.14 # Starting new_bool_3 with 300s (1) cores
% 76.66/12.14 # Starting new_bool_1 with 300s (1) cores
% 76.66/12.14 # Starting sh5l with 300s (1) cores
% 76.66/12.14 # sh5l with pid 7524 completed with status 0
% 76.66/12.14 # Result found by sh5l
% 76.66/12.14 # Preprocessing class: FMLMSMSMSSSNFFN.
% 76.66/12.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.66/12.14 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 76.66/12.14 # Starting new_bool_3 with 300s (1) cores
% 76.66/12.14 # Starting new_bool_1 with 300s (1) cores
% 76.66/12.14 # Starting sh5l with 300s (1) cores
% 76.66/12.14 # SinE strategy is gf500_gu_R04_F100_L20000
% 76.66/12.14 # Search class: FGHSM-SMLM33-DFFFFFNN
% 76.66/12.14 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 76.66/12.14 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 76.66/12.14 # SAT001_MinMin_p005000_rr with pid 7527 completed with status 0
% 76.66/12.14 # Result found by SAT001_MinMin_p005000_rr
% 76.66/12.14 # Preprocessing class: FMLMSMSMSSSNFFN.
% 76.66/12.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.66/12.14 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 76.66/12.14 # Starting new_bool_3 with 300s (1) cores
% 76.66/12.14 # Starting new_bool_1 with 300s (1) cores
% 76.66/12.14 # Starting sh5l with 300s (1) cores
% 76.66/12.14 # SinE strategy is gf500_gu_R04_F100_L20000
% 76.66/12.14 # Search class: FGHSM-SMLM33-DFFFFFNN
% 76.66/12.14 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 76.66/12.14 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 76.66/12.14 # Preprocessing time : 0.156 s
% 76.66/12.14 # Presaturation interreduction done
% 76.66/12.14
% 76.66/12.14 # Proof found!
% 76.66/12.14 # SZS status ContradictoryAxioms
% 76.66/12.14 # SZS output start CNFRefutation
% See solution above
% 76.66/12.14 # Parsed axioms : 5227
% 76.66/12.14 # Removed by relevancy pruning/SinE : 779
% 76.66/12.14 # Initial clauses : 6501
% 76.66/12.14 # Removed in clause preprocessing : 182
% 76.66/12.14 # Initial clauses in saturation : 6319
% 76.66/12.14 # Processed clauses : 19495
% 76.66/12.14 # ...of these trivial : 326
% 76.66/12.14 # ...subsumed : 6891
% 76.66/12.14 # ...remaining for further processing : 12278
% 76.66/12.14 # Other redundant clauses eliminated : 1379
% 76.66/12.14 # Clauses deleted for lack of memory : 0
% 76.66/12.14 # Backward-subsumed : 334
% 76.66/12.14 # Backward-rewritten : 423
% 76.66/12.14 # Generated clauses : 173400
% 76.66/12.14 # ...of the previous two non-redundant : 165259
% 76.66/12.14 # ...aggressively subsumed : 0
% 76.66/12.14 # Contextual simplify-reflections : 36
% 76.66/12.14 # Paramodulations : 172044
% 76.66/12.14 # Factorizations : 2
% 76.66/12.14 # NegExts : 0
% 76.66/12.14 # Equation resolutions : 1411
% 76.66/12.14 # Total rewrite steps : 57153
% 76.66/12.14 # Propositional unsat checks : 3
% 76.66/12.14 # Propositional check models : 2
% 76.66/12.14 # Propositional check unsatisfiable : 0
% 76.66/12.14 # Propositional clauses : 0
% 76.66/12.14 # Propositional clauses after purity: 0
% 76.66/12.14 # Propositional unsat core size : 0
% 76.66/12.14 # Propositional preprocessing time : 0.000
% 76.66/12.14 # Propositional encoding time : 0.242
% 76.66/12.14 # Propositional solver time : 0.115
% 76.66/12.14 # Success case prop preproc time : 0.000
% 76.66/12.14 # Success case prop encoding time : 0.000
% 76.66/12.14 # Success case prop solver time : 0.000
% 76.66/12.14 # Current number of processed clauses : 6035
% 76.66/12.14 # Positive orientable unit clauses : 1313
% 76.66/12.14 # Positive unorientable unit clauses: 108
% 76.66/12.14 # Negative unit clauses : 763
% 76.66/12.14 # Non-unit-clauses : 3851
% 76.66/12.14 # Current number of unprocessed clauses: 146748
% 76.66/12.14 # ...number of literals in the above : 317957
% 76.66/12.14 # Current number of archived formulas : 0
% 76.66/12.14 # Current number of archived clauses : 5814
% 76.66/12.14 # Clause-clause subsumption calls (NU) : 3862551
% 76.66/12.14 # Rec. Clause-clause subsumption calls : 1783703
% 76.66/12.14 # Non-unit clause-clause subsumptions : 3694
% 76.66/12.14 # Unit Clause-clause subsumption calls : 146074
% 76.66/12.14 # Rewrite failures with RHS unbound : 498
% 76.66/12.14 # BW rewrite match attempts : 32403
% 76.66/12.14 # BW rewrite match successes : 1274
% 76.66/12.14 # Condensation attempts : 0
% 76.66/12.14 # Condensation successes : 0
% 76.66/12.14 # Termbank termtop insertions : 5631287
% 76.66/12.14
% 76.66/12.14 # -------------------------------------------------
% 76.66/12.14 # User time : 9.901 s
% 76.66/12.14 # System time : 0.272 s
% 76.66/12.14 # Total time : 10.173 s
% 76.66/12.14 # Maximum resident set size: 36140 pages
% 76.66/12.14
% 76.66/12.14 # -------------------------------------------------
% 76.66/12.14 # User time : 10.150 s
% 76.66/12.14 # System time : 0.286 s
% 76.66/12.14 # Total time : 10.436 s
% 76.66/12.14 # Maximum resident set size: 9460 pages
% 76.66/12.14 % E---3.1 exiting
%------------------------------------------------------------------------------