TSTP Solution File: SWW370+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW370+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 20:09:14 EDT 2023
% Result : ContradictoryAxioms 7.84s 4.19s
% Output : CNFRefutation 7.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 104 ( 66 unt; 0 def)
% Number of atoms : 146 ( 93 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 36 |; 2 &)
% ( 3 <=>; 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 : 154 ( 27 sgn; 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X18,X5] :
( hAPP(c_Set_OCollect(X5),X18) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X18,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_Collect__empty__eq) ).
fof(fact_Collect__def,axiom,
! [X18,X5] : hAPP(c_Set_OCollect(X5),X18) = X18,
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_Collect__def) ).
fof(help_c__fNot__2,axiom,
! [X18] :
( ~ ~ hBOOL(X18)
| hBOOL(hAPP(c_fNot,X18)) ),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',help_c__fNot__2) ).
fof(help_c__fNot__1,axiom,
! [X18] :
( ~ hBOOL(hAPP(c_fNot,X18))
| ~ hBOOL(X18) ),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',help_c__fNot__1) ).
fof(help_c__COMBK__1,axiom,
! [X320,X21,X28,X5] : hAPP(hAPP(c_COMBK(X5,X28),X21),X320) = X21,
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',help_c__COMBK__1) ).
fof(fact_Collect__neg__eq,axiom,
! [X18,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X18)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X18)),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_Collect__neg__eq) ).
fof(fact_number__of__is__id,axiom,
! [X114] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X114) = X114,
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_number__of__is__id) ).
fof(fact_double__complement,axiom,
! [X29,X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X29)) = X29,
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_double__complement) ).
fof(fact_zero__is__num__zero,axiom,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_zero__is__num__zero) ).
fof(help_c__COMBB__1,axiom,
! [X44,X16,X18,X96,X5,X28] : hAPP(hAPP(hAPP(c_COMBB(X28,X5,X96),X18),X16),X44) = hAPP(X18,hAPP(X16,X44)),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',help_c__COMBB__1) ).
fof(fact_add__eq__self__zero,axiom,
! [X54,X81] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X81),X54) = X81
=> X54 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.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.sN1M7BxZ0L/E---3.1_16452.p',fact_transfer__nat__int__numerals_I1_J) ).
fof(fact_Zero__not__Suc,axiom,
! [X81] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X81),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_Zero__not__Suc) ).
fof(fact_rev__rev__ident,axiom,
! [X273,X5] : hAPP(c_List_Orev(X5),hAPP(c_List_Orev(X5),X273)) = X273,
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_rev__rev__ident) ).
fof(fact_WT_Oequations_I1_J,axiom,
hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_WT_Oequations_I1_J) ).
fof(fact_add__Suc__right,axiom,
! [X54,X81] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X81),hAPP(c_Nat_OSuc,X54)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X81),X54)),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_add__Suc__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X54] : X54 != hAPP(c_Nat_OSuc,X54),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_n__not__Suc__n) ).
fof(fact_com_Osimps_I18_J,axiom,
! [X39] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X39),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_com_Osimps_I18_J) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X81] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X81),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X81,
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_Nat_Oadd__0__right) ).
fof(fact_com_Osimps_I6_J,axiom,
! [X45,X46] :
( hAPP(c_Com_Ocom_OBODY,X46) = hAPP(c_Com_Ocom_OBODY,X45)
<=> X46 = X45 ),
file('/export/starexec/sandbox/tmp/tmp.sN1M7BxZ0L/E---3.1_16452.p',fact_com_Osimps_I6_J) ).
fof(c_0_20,plain,
! [X18,X5] :
( hAPP(c_Set_OCollect(X5),X18) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X18,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_21,plain,
! [X3059,X3060,X3061,X3062,X3064] :
( ( hAPP(c_Set_OCollect(X3060),X3059) != c_Orderings_Obot__class_Obot(tc_fun(X3060,tc_HOL_Obool))
| ~ hBOOL(hAPP(X3059,X3061)) )
& ( hBOOL(hAPP(X3062,esk70_1(X3062)))
| hAPP(c_Set_OCollect(X3064),X3062) = c_Orderings_Obot__class_Obot(tc_fun(X3064,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_20])])])])]) ).
fof(c_0_22,plain,
! [X3051,X3052] : hAPP(c_Set_OCollect(X3052),X3051) = X3051,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
cnf(c_0_23,plain,
( hAPP(c_Set_OCollect(X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
( hBOOL(hAPP(X1,esk70_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_21]) ).
fof(c_0_26,plain,
! [X18] :
( hBOOL(X18)
| hBOOL(hAPP(c_fNot,X18)) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__2]) ).
fof(c_0_27,plain,
! [X18] :
( ~ hBOOL(hAPP(c_fNot,X18))
| ~ hBOOL(X18) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_28,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_29,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk70_1(X1))) ),
inference(rw,[status(thm)],[c_0_25,c_0_24]) ).
fof(c_0_30,plain,
! [X1893] :
( hBOOL(X1893)
| hBOOL(hAPP(c_fNot,X1893)) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X1892] :
( ~ hBOOL(hAPP(c_fNot,X1892))
| ~ hBOOL(X1892) ),
inference(variable_rename,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( hBOOL(hAPP(X1,esk70_1(X1)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( hBOOL(X1)
| hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( hBOOL(hAPP(c_fNot,esk70_1(c_fNot)))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_36,plain,
! [X1787,X1788,X1789,X1790] : hAPP(hAPP(c_COMBK(X1790,X1789),X1788),X1787) = X1788,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_37,plain,
hBOOL(hAPP(c_fNot,esk70_1(c_fNot))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35]) ).
cnf(c_0_38,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_39,plain,
! [X1863,X1864] : hAPP(c_Set_OCollect(X1864),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1864),c_fNot),X1863)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1864,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1864),X1863)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
cnf(c_0_40,plain,
~ hBOOL(esk70_1(c_fNot)),
inference(spm,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_41,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = X3
| hBOOL(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_38]) ).
fof(c_0_42,plain,
! [X4081] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X4081) = X4081,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_43,plain,
! [X4896,X4897] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4897,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4897,tc_HOL_Obool)),X4896)) = X4896,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_44,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_39]) ).
cnf(c_0_45,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = esk70_1(c_fNot),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls),
inference(split_conjunct,[status(thm)],[fact_zero__is__num__zero]) ).
cnf(c_0_47,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_48,plain,
! [X1894,X1895,X1896,X1897,X1898,X1899] : hAPP(hAPP(hAPP(c_COMBB(X1899,X1898,X1897),X1896),X1895),X1894) = hAPP(X1896,hAPP(X1895,X1894)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_49,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_43]) ).
cnf(c_0_50,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_44,c_0_24]),c_0_24]) ).
cnf(c_0_51,plain,
( esk70_1(c_fNot) = X1
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
fof(c_0_52,plain,
! [X2974,X2975] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2975),X2974) != X2975
| X2974 = 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_53,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_54,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_55,plain,
! [X2176] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2176),
inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_56,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,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_49,c_0_50]),c_0_50]) ).
fof(c_0_58,plain,
! [X6484,X6485] : hAPP(c_List_Orev(X6485),hAPP(c_List_Orev(X6485),X6484)) = X6484,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_59,plain,
( esk70_1(c_fNot) = hAPP(c_fNot,X1)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_60,plain,
hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
inference(split_conjunct,[status(thm)],[fact_WT_Oequations_I1_J]) ).
cnf(c_0_61,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_52]) ).
cnf(c_0_62,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_63,plain,
! [X2258,X2259] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2259),hAPP(c_Nat_OSuc,X2258)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2259),X2258)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_64,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_56]) ).
cnf(c_0_66,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,plain,
esk70_1(c_fNot) = hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_68,plain,
! [X2186] : X2186 != hAPP(c_Nat_OSuc,X2186),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
fof(c_0_69,plain,
! [X870] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X870),
inference(variable_rename,[status(thm)],[fact_com_Osimps_I18_J]) ).
cnf(c_0_70,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_61,c_0_62]) ).
cnf(c_0_71,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_63]) ).
cnf(c_0_72,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_64,c_0_62]) ).
fof(c_0_73,plain,
! [X2978] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2978),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2978,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_74,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,plain,
( hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_51,c_0_67]) ).
cnf(c_0_76,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,plain,
c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,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_70,c_0_71]),c_0_72]) ).
cnf(c_0_79,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_73]) ).
cnf(c_0_80,plain,
( hAPP(c_fNot,X1) = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
hBOOL(hAPP(c_Nat_OSuc,esk70_1(c_fNot))),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_51])]) ).
cnf(c_0_82,plain,
( hBOOL(hAPP(c_Com_Ocom_OBODY,X1))
| esk70_1(c_fNot) != c_Com_Ocom_OSKIP ),
inference(spm,[status(thm)],[c_0_77,c_0_51]) ).
cnf(c_0_83,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_78,c_0_71]) ).
cnf(c_0_84,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_79,c_0_62]) ).
cnf(c_0_85,plain,
( X1 = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_80]),c_0_74]) ).
cnf(c_0_86,plain,
hBOOL(hAPP(c_Nat_OSuc,esk70_1(c_Nat_OSuc))),
inference(spm,[status(thm)],[c_0_32,c_0_81]) ).
fof(c_0_87,plain,
! [X847,X848] :
( ( hAPP(c_Com_Ocom_OBODY,X848) != hAPP(c_Com_Ocom_OBODY,X847)
| X848 = X847 )
& ( X848 != X847
| hAPP(c_Com_Ocom_OBODY,X848) = hAPP(c_Com_Ocom_OBODY,X847) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com_Osimps_I6_J])]) ).
cnf(c_0_88,plain,
( hBOOL(hAPP(c_Com_Ocom_OBODY,X1))
| hBOOL(c_Com_Ocom_OSKIP) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51])]) ).
cnf(c_0_89,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,plain,
hAPP(c_Nat_OSuc,esk70_1(c_Nat_OSuc)) = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,plain,
( X1 = X2
| hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
( hAPP(c_Com_Ocom_OBODY,X1) = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)
| hBOOL(c_Com_Ocom_OSKIP) ),
inference(spm,[status(thm)],[c_0_85,c_0_88]) ).
cnf(c_0_93,plain,
esk70_1(c_Nat_OSuc) != hAPP(c_Nat_OSuc,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
( X1 = X2
| hBOOL(c_Com_Ocom_OSKIP) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_92]) ).
cnf(c_0_95,plain,
hBOOL(hAPP(c_Nat_OSuc,hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)))),
inference(spm,[status(thm)],[c_0_81,c_0_67]) ).
cnf(c_0_96,plain,
hBOOL(c_Com_Ocom_OSKIP),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_97,plain,
( hBOOL(hAPP(c_Nat_OSuc,X1))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_75]) ).
cnf(c_0_98,plain,
hAPP(c_Com_OWT,c_Com_Ocom_OSKIP) = c_Com_Ocom_OSKIP,
inference(spm,[status(thm)],[c_0_85,c_0_96]) ).
cnf(c_0_99,plain,
( hAPP(c_Nat_OSuc,X1) = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_97]) ).
cnf(c_0_100,plain,
( X1 = c_Com_Ocom_OSKIP
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_85,c_0_98]) ).
cnf(c_0_101,plain,
( hAPP(c_Nat_OSuc,X1) = c_Com_Ocom_OSKIP
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_99,c_0_98]) ).
cnf(c_0_102,plain,
( hAPP(c_Nat_OSuc,X1) = c_Com_Ocom_OSKIP
| X1 = c_Com_Ocom_OSKIP ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_102])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.13/1.18 % Problem : SWW370+1 : TPTP v8.1.2. Released v5.2.0.
% 1.13/1.19 % Command : run_E %s %d THM
% 1.18/1.39 % Computer : n029.cluster.edu
% 1.18/1.39 % Model : x86_64 x86_64
% 1.18/1.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.18/1.39 % Memory : 8042.1875MB
% 1.18/1.39 % OS : Linux 3.10.0-693.el7.x86_64
% 1.18/1.39 % CPULimit : 2400
% 1.18/1.39 % WCLimit : 300
% 1.18/1.39 % DateTime : Mon Oct 2 23:00:38 EDT 2023
% 1.18/1.39 % CPUTime :
% 2.42/2.60 Running first-order theorem proving
% 2.42/2.60 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.sN1M7BxZ0L/E---3.1_16452.p
% 7.84/4.19 # Version: 3.1pre001
% 7.84/4.19 # Preprocessing class: FMLMSLSMSSSNFFN.
% 7.84/4.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.84/4.19 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 7.84/4.19 # Starting new_bool_3 with 300s (1) cores
% 7.84/4.19 # Starting new_bool_1 with 300s (1) cores
% 7.84/4.19 # Starting sh5l with 300s (1) cores
% 7.84/4.19 # new_bool_3 with pid 16531 completed with status 0
% 7.84/4.19 # Result found by new_bool_3
% 7.84/4.19 # Preprocessing class: FMLMSLSMSSSNFFN.
% 7.84/4.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.84/4.19 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 7.84/4.19 # Starting new_bool_3 with 300s (1) cores
% 7.84/4.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.84/4.19 # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.84/4.19 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.84/4.19 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 7.84/4.19 # SAT001_MinMin_p005000_rr with pid 16535 completed with status 0
% 7.84/4.19 # Result found by SAT001_MinMin_p005000_rr
% 7.84/4.19 # Preprocessing class: FMLMSLSMSSSNFFN.
% 7.84/4.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.84/4.19 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 7.84/4.19 # Starting new_bool_3 with 300s (1) cores
% 7.84/4.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.84/4.19 # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.84/4.19 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.84/4.19 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 7.84/4.19 # Preprocessing time : 0.065 s
% 7.84/4.19 # Presaturation interreduction done
% 7.84/4.19
% 7.84/4.19 # Proof found!
% 7.84/4.19 # SZS status ContradictoryAxioms
% 7.84/4.19 # SZS output start CNFRefutation
% See solution above
% 7.84/4.19 # Parsed axioms : 5241
% 7.84/4.19 # Removed by relevancy pruning/SinE : 3435
% 7.84/4.19 # Initial clauses : 2698
% 7.84/4.19 # Removed in clause preprocessing : 82
% 7.84/4.19 # Initial clauses in saturation : 2616
% 7.84/4.19 # Processed clauses : 4456
% 7.84/4.19 # ...of these trivial : 131
% 7.84/4.19 # ...subsumed : 1109
% 7.84/4.19 # ...remaining for further processing : 3216
% 7.84/4.19 # Other redundant clauses eliminated : 1190
% 7.84/4.19 # Clauses deleted for lack of memory : 0
% 7.84/4.19 # Backward-subsumed : 27
% 7.84/4.19 # Backward-rewritten : 282
% 7.84/4.19 # Generated clauses : 27320
% 7.84/4.19 # ...of the previous two non-redundant : 24994
% 7.84/4.19 # ...aggressively subsumed : 0
% 7.84/4.19 # Contextual simplify-reflections : 11
% 7.84/4.19 # Paramodulations : 26134
% 7.84/4.19 # Factorizations : 4
% 7.84/4.19 # NegExts : 0
% 7.84/4.19 # Equation resolutions : 1218
% 7.84/4.19 # Total rewrite steps : 6087
% 7.84/4.19 # Propositional unsat checks : 0
% 7.84/4.19 # Propositional check models : 0
% 7.84/4.19 # Propositional check unsatisfiable : 0
% 7.84/4.19 # Propositional clauses : 0
% 7.84/4.19 # Propositional clauses after purity: 0
% 7.84/4.19 # Propositional unsat core size : 0
% 7.84/4.19 # Propositional preprocessing time : 0.000
% 7.84/4.19 # Propositional encoding time : 0.000
% 7.84/4.19 # Propositional solver time : 0.000
% 7.84/4.19 # Success case prop preproc time : 0.000
% 7.84/4.19 # Success case prop encoding time : 0.000
% 7.84/4.19 # Success case prop solver time : 0.000
% 7.84/4.19 # Current number of processed clauses : 753
% 7.84/4.19 # Positive orientable unit clauses : 293
% 7.84/4.19 # Positive unorientable unit clauses: 1
% 7.84/4.19 # Negative unit clauses : 108
% 7.84/4.19 # Non-unit-clauses : 351
% 7.84/4.19 # Current number of unprocessed clauses: 21782
% 7.84/4.19 # ...number of literals in the above : 54440
% 7.84/4.19 # Current number of archived formulas : 0
% 7.84/4.19 # Current number of archived clauses : 2244
% 7.84/4.19 # Clause-clause subsumption calls (NU) : 351483
% 7.84/4.19 # Rec. Clause-clause subsumption calls : 202372
% 7.84/4.19 # Non-unit clause-clause subsumptions : 754
% 7.84/4.19 # Unit Clause-clause subsumption calls : 6154
% 7.84/4.19 # Rewrite failures with RHS unbound : 218
% 7.84/4.19 # BW rewrite match attempts : 6768
% 7.84/4.19 # BW rewrite match successes : 345
% 7.84/4.19 # Condensation attempts : 0
% 7.84/4.19 # Condensation successes : 0
% 7.84/4.19 # Termbank termtop insertions : 751649
% 7.84/4.19
% 7.84/4.19 # -------------------------------------------------
% 7.84/4.19 # User time : 1.265 s
% 7.84/4.19 # System time : 0.053 s
% 7.84/4.19 # Total time : 1.318 s
% 7.84/4.19 # Maximum resident set size: 17552 pages
% 7.84/4.19
% 7.84/4.19 # -------------------------------------------------
% 7.84/4.19 # User time : 1.506 s
% 7.84/4.19 # System time : 0.065 s
% 7.84/4.19 # Total time : 1.571 s
% 7.84/4.19 # Maximum resident set size: 9564 pages
% 7.84/4.19 % E---3.1 exiting
% 7.84/4.19 % E---3.1 exiting
%------------------------------------------------------------------------------