TSTP Solution File: SWW359+1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW359+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 18:11:45 EDT 2024
% Result : ContradictoryAxioms 61.43s 10.15s
% Output : CNFRefutation 61.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 79 ( 62 unt; 0 def)
% Number of atoms : 98 ( 78 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 : 22 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 128 ( 14 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X30,X9] :
( hAPP(c_Set_OCollect(X9),X30) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X30,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_Collect__empty__eq) ).
fof(fact_empty__def,axiom,
! [X9] : c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X9),hAPP(c_COMBK(tc_HOL_Obool,X9),c_fFalse)),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X30,X9] : hAPP(c_Set_OCollect(X9),X30) = X30,
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X30,X9] : hAPP(c_Set_OCollect(X9),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X9),c_fNot),X30)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9,tc_HOL_Obool)),hAPP(c_Set_OCollect(X9),X30)),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X281,X280,X9,X23] : hAPP(hAPP(c_COMBK(X23,X9),X280),X281) = X280,
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X11,X9] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9,tc_HOL_Obool)),X11)) = X11,
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X30] :
( ~ hBOOL(hAPP(c_fNot,X30))
| ~ hBOOL(X30) ),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',help_c__fNot__1) ).
fof(fact_Zero__not__Suc,axiom,
! [X54] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X54),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_Zero__not__Suc) ).
fof(help_c__COMBB__1,axiom,
! [X154,X144,X30,X83,X9,X7] : hAPP(hAPP(hAPP(c_COMBB(X7,X9,X83),X30),X144),X154) = hAPP(X30,hAPP(X144,X154)),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',help_c__COMBB__1) ).
fof(fact_number__of__is__id,axiom,
! [X61] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X61) = X61,
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_number__of__is__id) ).
fof(fact_add__eq__self__zero,axiom,
! [X53,X54] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X54),X53) = X54
=> X53 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.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.spmRalrvDE/E---3.1_18432.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.spmRalrvDE/E---3.1_18432.p',fact_Pls__def) ).
fof(fact_converse__converse,axiom,
! [X90,X9,X7] : hAPP(c_Relation_Oconverse(X7,X9),hAPP(c_Relation_Oconverse(X9,X7),X90)) = X90,
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_converse__converse) ).
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.spmRalrvDE/E---3.1_18432.p',fact_neg__number__of__Min) ).
fof(fact_add__Suc__right,axiom,
! [X53,X54] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X54),hAPP(c_Nat_OSuc,X53)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X54),X53)),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.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.spmRalrvDE/E---3.1_18432.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X53] : X53 != hAPP(c_Nat_OSuc,X53),
file('/export/starexec/sandbox2/tmp/tmp.spmRalrvDE/E---3.1_18432.p',fact_n__not__Suc__n) ).
fof(c_0_18,plain,
! [X30,X9] :
( hAPP(c_Set_OCollect(X9),X30) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X30,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_19,plain,
! [X15105] : c_Orderings_Obot__class_Obot(tc_fun(X15105,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15105),hAPP(c_COMBK(tc_HOL_Obool,X15105),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X4798,X4799] : hAPP(c_Set_OCollect(X4799),X4798) = X4798,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X4800,X4801] : hAPP(c_Set_OCollect(X4801),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4801),c_fNot),X4800)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4801,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4801),X4800)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X611,X612,X613,X614,X616] :
( ( hAPP(c_Set_OCollect(X612),X611) != c_Orderings_Obot__class_Obot(tc_fun(X612,tc_HOL_Obool))
| ~ hBOOL(hAPP(X611,X613)) )
& ( hBOOL(hAPP(X614,esk20_1(X614)))
| hAPP(c_Set_OCollect(X616),X614) = c_Orderings_Obot__class_Obot(tc_fun(X616,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_18])])])])])]) ).
fof(c_0_23,plain,
! [X6386,X6387,X6388,X6389] : hAPP(hAPP(c_COMBK(X6389,X6388),X6387),X6386) = X6387,
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,
! [X3369,X3370] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3370,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3370,tc_HOL_Obool)),X3369)) = X3369,
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,
! [X30] :
( ~ hBOOL(hAPP(c_fNot,X30))
| ~ hBOOL(X30) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_29,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_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,
! [X54] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X54),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
fof(c_0_33,plain,
! [X4776,X4777,X4778,X4779,X4780,X4781] : hAPP(hAPP(hAPP(c_COMBB(X4781,X4780,X4779),X4778),X4777),X4776) = hAPP(X4778,hAPP(X4777,X4776)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_34,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_35,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_36,plain,
! [X10548] :
( ~ hBOOL(hAPP(c_fNot,X10548))
| ~ hBOOL(X10548) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_28])]) ).
cnf(c_0_37,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_29,c_0_25]) ).
cnf(c_0_38,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_39,plain,
! [X3280] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3280) = X3280,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_40,plain,
! [X2288,X2289] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2289),X2288) != X2289
| X2288 = 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_41,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_42,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_43,plain,
! [X2282] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2282),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
cnf(c_0_44,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,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_34,c_0_35]),c_0_35]) ).
fof(c_0_46,plain,
! [X11287,X11288,X11289] : hAPP(c_Relation_Oconverse(X11289,X11288),hAPP(c_Relation_Oconverse(X11288,X11289),X11287)) = X11287,
inference(variable_rename,[status(thm)],[fact_converse__converse]) ).
cnf(c_0_47,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_38]),c_0_30]) ).
cnf(c_0_49,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_50,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,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_40]) ).
cnf(c_0_52,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_53,plain,
! [X2237,X2238] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2238),hAPP(c_Nat_OSuc,X2237)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2238),X2237)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
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_43]) ).
cnf(c_0_55,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_44]) ).
cnf(c_0_56,plain,
hAPP(c_Relation_Oconverse(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3)) = X3,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,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_51,c_0_52]) ).
cnf(c_0_60,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_53]) ).
cnf(c_0_61,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_54,c_0_52]) ).
fof(c_0_62,plain,
! [X2292] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2292),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2292,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_63,plain,
! [X53] : X53 != hAPP(c_Nat_OSuc,X53),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_64,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,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_59,c_0_60]),c_0_61]) ).
cnf(c_0_67,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_62]) ).
fof(c_0_68,plain,
! [X5514] : X5514 != hAPP(c_Nat_OSuc,X5514),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_63])]) ).
cnf(c_0_69,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_57,c_0_48]) ).
cnf(c_0_70,plain,
hAPP(c_fNot,c_fFalse) = hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,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_66,c_0_60]) ).
cnf(c_0_72,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_67,c_0_52]) ).
cnf(c_0_73,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| c_fFalse = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_69]),c_0_70]) ).
cnf(c_0_75,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,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_73,c_0_74])]) ).
cnf(c_0_77,plain,
hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) != hAPP(c_Nat_OSuc,c_fFalse),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_74])]),c_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW359+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 08:02:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.38/1.58 Running first-order theorem proving
% 1.38/1.58 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.spmRalrvDE/E---3.1_18432.p
% 61.43/10.15 # Version: 3.2.0
% 61.43/10.15 # Preprocessing class: FMLMSMSMSSSNFFN.
% 61.43/10.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.43/10.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 61.43/10.15 # Starting new_bool_3 with 300s (1) cores
% 61.43/10.15 # Starting new_bool_1 with 300s (1) cores
% 61.43/10.15 # Starting sh5l with 300s (1) cores
% 61.43/10.15 # sh5l with pid 18513 completed with status 0
% 61.43/10.15 # Result found by sh5l
% 61.43/10.15 # Preprocessing class: FMLMSMSMSSSNFFN.
% 61.43/10.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.43/10.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 61.43/10.15 # Starting new_bool_3 with 300s (1) cores
% 61.43/10.15 # Starting new_bool_1 with 300s (1) cores
% 61.43/10.15 # Starting sh5l with 300s (1) cores
% 61.43/10.15 # SinE strategy is gf500_gu_R04_F100_L20000
% 61.43/10.15 # Search class: FGHSM-SMLM33-DFFFFFNN
% 61.43/10.15 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 61.43/10.15 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 61.43/10.15 # SAT001_MinMin_p005000_rr with pid 18516 completed with status 0
% 61.43/10.15 # Result found by SAT001_MinMin_p005000_rr
% 61.43/10.15 # Preprocessing class: FMLMSMSMSSSNFFN.
% 61.43/10.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 61.43/10.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 61.43/10.15 # Starting new_bool_3 with 300s (1) cores
% 61.43/10.15 # Starting new_bool_1 with 300s (1) cores
% 61.43/10.15 # Starting sh5l with 300s (1) cores
% 61.43/10.15 # SinE strategy is gf500_gu_R04_F100_L20000
% 61.43/10.15 # Search class: FGHSM-SMLM33-DFFFFFNN
% 61.43/10.15 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 61.43/10.15 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 61.43/10.15 # Preprocessing time : 0.133 s
% 61.43/10.15 # Presaturation interreduction done
% 61.43/10.15
% 61.43/10.15 # Proof found!
% 61.43/10.15 # SZS status ContradictoryAxioms
% 61.43/10.15 # SZS output start CNFRefutation
% See solution above
% 61.43/10.15 # Parsed axioms : 5227
% 61.43/10.15 # Removed by relevancy pruning/SinE : 778
% 61.43/10.15 # Initial clauses : 6505
% 61.43/10.15 # Removed in clause preprocessing : 182
% 61.43/10.15 # Initial clauses in saturation : 6323
% 61.43/10.15 # Processed clauses : 19386
% 61.43/10.15 # ...of these trivial : 377
% 61.43/10.15 # ...subsumed : 7902
% 61.43/10.15 # ...remaining for further processing : 11107
% 61.43/10.15 # Other redundant clauses eliminated : 1132
% 61.43/10.15 # Clauses deleted for lack of memory : 0
% 61.43/10.15 # Backward-subsumed : 1384
% 61.43/10.15 # Backward-rewritten : 367
% 61.43/10.15 # Generated clauses : 149916
% 61.43/10.15 # ...of the previous two non-redundant : 142185
% 61.43/10.15 # ...aggressively subsumed : 0
% 61.43/10.15 # Contextual simplify-reflections : 39
% 61.43/10.15 # Paramodulations : 148802
% 61.43/10.15 # Factorizations : 2
% 61.43/10.15 # NegExts : 0
% 61.43/10.15 # Equation resolutions : 1169
% 61.43/10.15 # Disequality decompositions : 0
% 61.43/10.15 # Total rewrite steps : 51234
% 61.43/10.15 # ...of those cached : 36457
% 61.43/10.15 # Propositional unsat checks : 3
% 61.43/10.15 # Propositional check models : 2
% 61.43/10.15 # Propositional check unsatisfiable : 0
% 61.43/10.15 # Propositional clauses : 0
% 61.43/10.15 # Propositional clauses after purity: 0
% 61.43/10.15 # Propositional unsat core size : 0
% 61.43/10.15 # Propositional preprocessing time : 0.000
% 61.43/10.15 # Propositional encoding time : 0.419
% 61.43/10.15 # Propositional solver time : 0.233
% 61.43/10.15 # Success case prop preproc time : 0.000
% 61.43/10.15 # Success case prop encoding time : 0.000
% 61.43/10.15 # Success case prop solver time : 0.000
% 61.43/10.15 # Current number of processed clauses : 3866
% 61.43/10.15 # Positive orientable unit clauses : 1310
% 61.43/10.15 # Positive unorientable unit clauses: 108
% 61.43/10.15 # Negative unit clauses : 652
% 61.43/10.15 # Non-unit-clauses : 1796
% 61.43/10.15 # Current number of unprocessed clauses: 125436
% 61.43/10.15 # ...number of literals in the above : 258069
% 61.43/10.15 # Current number of archived formulas : 0
% 61.43/10.15 # Current number of archived clauses : 6811
% 61.43/10.15 # Clause-clause subsumption calls (NU) : 3453202
% 61.43/10.15 # Rec. Clause-clause subsumption calls : 1651676
% 61.43/10.15 # Non-unit clause-clause subsumptions : 5713
% 61.43/10.15 # Unit Clause-clause subsumption calls : 237072
% 61.43/10.15 # Rewrite failures with RHS unbound : 501
% 61.43/10.15 # BW rewrite match attempts : 31933
% 61.43/10.15 # BW rewrite match successes : 1190
% 61.43/10.15 # Condensation attempts : 0
% 61.43/10.15 # Condensation successes : 0
% 61.43/10.15 # Termbank termtop insertions : 5987155
% 61.43/10.15 # Search garbage collected termcells : 95334
% 61.43/10.15
% 61.43/10.15 # -------------------------------------------------
% 61.43/10.15 # User time : 7.904 s
% 61.43/10.15 # System time : 0.260 s
% 61.43/10.15 # Total time : 8.165 s
% 61.43/10.15 # Maximum resident set size: 36284 pages
% 61.43/10.15
% 61.43/10.15 # -------------------------------------------------
% 61.43/10.15 # User time : 8.142 s
% 61.43/10.15 # System time : 0.270 s
% 61.43/10.15 # Total time : 8.412 s
% 61.43/10.15 # Maximum resident set size: 9464 pages
% 61.43/10.15 % E---3.1 exiting
% 61.43/10.15 % E exiting
%------------------------------------------------------------------------------