TSTP Solution File: SWW333+1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW333+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 18:11:39 EDT 2024
% Result : ContradictoryAxioms 49.14s 7.95s
% Output : CNFRefutation 49.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 81 ( 64 unt; 0 def)
% Number of atoms : 100 ( 80 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 31 ~; 15 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 7 ( 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 ( 15 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X6,X8] :
( hAPP(c_Set_OCollect(X8),X6) = c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X6,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_Collect__empty__eq) ).
fof(fact_empty__def,axiom,
! [X8] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X8),hAPP(c_COMBK(tc_HOL_Obool,X8),c_fFalse)),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X6,X8] : hAPP(c_Set_OCollect(X8),X6) = X6,
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X6,X8] : hAPP(c_Set_OCollect(X8),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X8),c_fNot),X6)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8,tc_HOL_Obool)),hAPP(c_Set_OCollect(X8),X6)),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X321,X50,X8,X17] : hAPP(hAPP(c_COMBK(X17,X8),X50),X321) = X50,
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',help_c__COMBK__1) ).
fof(fact_Zero__neq__Suc,axiom,
! [X39] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X39),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_Zero__neq__Suc) ).
fof(fact_double__complement,axiom,
! [X20,X8] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8,tc_HOL_Obool)),X20)) = X20,
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X6] :
( ~ hBOOL(hAPP(c_fNot,X6))
| ~ hBOOL(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',help_c__fNot__1) ).
fof(fact_add__eq__self__zero,axiom,
! [X16,X39] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X39),X16) = X39
=> X16 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.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.6SV34V4Gcv/E---3.1_1920.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.6SV34V4Gcv/E---3.1_1920.p',fact_Pls__def) ).
fof(help_c__COMBB__1,axiom,
! [X154,X4,X6,X169,X8,X22] : hAPP(hAPP(hAPP(c_COMBB(X22,X8,X169),X6),X4),X154) = hAPP(X6,hAPP(X4,X154)),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',help_c__COMBB__1) ).
fof(fact_number__of__is__id,axiom,
! [X65] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X65) = X65,
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_number__of__is__id) ).
fof(fact_add__Suc__right,axiom,
! [X16,X39] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X39),hAPP(c_Nat_OSuc,X16)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X39),X16)),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_add__Suc__right) ).
fof(fact_rev__rev__ident,axiom,
! [X283,X17] : hAPP(c_List_Orev(X17),hAPP(c_List_Orev(X17),X283)) = X283,
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.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.6SV34V4Gcv/E---3.1_1920.p',fact_neg__number__of__Min) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X39] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X39),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X39,
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X16] : X16 != hAPP(c_Nat_OSuc,X16),
file('/export/starexec/sandbox2/tmp/tmp.6SV34V4Gcv/E---3.1_1920.p',fact_n__not__Suc__n) ).
fof(c_0_18,plain,
! [X6,X8] :
( hAPP(c_Set_OCollect(X8),X6) = c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X6,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_19,plain,
! [X15518] : c_Orderings_Obot__class_Obot(tc_fun(X15518,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15518),hAPP(c_COMBK(tc_HOL_Obool,X15518),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X7501,X7502] : hAPP(c_Set_OCollect(X7502),X7501) = X7501,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X4386,X4387] : hAPP(c_Set_OCollect(X4387),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4387),c_fNot),X4386)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4387,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4387),X4386)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X4187,X4188,X4189,X4190,X4192] :
( ( hAPP(c_Set_OCollect(X4188),X4187) != c_Orderings_Obot__class_Obot(tc_fun(X4188,tc_HOL_Obool))
| ~ hBOOL(hAPP(X4187,X4189)) )
& ( hBOOL(hAPP(X4190,esk119_1(X4190)))
| hAPP(c_Set_OCollect(X4192),X4190) = c_Orderings_Obot__class_Obot(tc_fun(X4192,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,
! [X4817,X4818,X4819,X4820] : hAPP(hAPP(c_COMBK(X4820,X4819),X4818),X4817) = X4818,
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,
! [X39] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X39),
inference(fof_simplification,[status(thm)],[fact_Zero__neq__Suc]) ).
fof(c_0_27,plain,
! [X5618,X5619] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5619,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5619,tc_HOL_Obool)),X5618)) = X5618,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_28,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_29,plain,
! [X6] :
( ~ hBOOL(hAPP(c_fNot,X6))
| ~ hBOOL(X6) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(X1,esk119_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_31,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,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_33,plain,
! [X986,X987] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X987),X986) != X987
| X986 = 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_34,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_35,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_36,plain,
! [X552] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X552),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
fof(c_0_37,plain,
! [X3549,X3550,X3551,X3552,X3553,X3554] : hAPP(hAPP(hAPP(c_COMBB(X3554,X3553,X3552),X3551),X3550),X3549) = hAPP(X3551,hAPP(X3550,X3549)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
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_27]) ).
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_28,c_0_25]),c_0_25]) ).
fof(c_0_40,plain,
! [X4427] :
( ~ hBOOL(hAPP(c_fNot,X4427))
| ~ hBOOL(X4427) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).
cnf(c_0_41,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk119_1(X1))) ),
inference(rw,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_42,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_43,plain,
! [X5403] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X5403) = X5403,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
cnf(c_0_44,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_33]) ).
cnf(c_0_45,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_46,plain,
! [X637,X638] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X638),hAPP(c_Nat_OSuc,X637)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X638),X637)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_47,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,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]) ).
fof(c_0_50,plain,
! [X9926,X9927] : hAPP(c_List_Orev(X9927),hAPP(c_List_Orev(X9927),X9926)) = X9926,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_51,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_41]),c_0_42]),c_0_31]) ).
cnf(c_0_53,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_54,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,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_44,c_0_45]) ).
cnf(c_0_56,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_46]) ).
cnf(c_0_57,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_58,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_48]) ).
cnf(c_0_59,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,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_55,c_0_56]),c_0_57]) ).
fof(c_0_63,plain,
! [X983] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X983),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X983,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_64,plain,
! [X16] : X16 != hAPP(c_Nat_OSuc,X16),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_65,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,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_62,c_0_56]) ).
cnf(c_0_68,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_63]) ).
fof(c_0_69,plain,
! [X545] : X545 != hAPP(c_Nat_OSuc,X545),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_64])]) ).
cnf(c_0_70,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_52]) ).
cnf(c_0_71,plain,
hAPP(c_fNot,c_fFalse) = hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
hAPP(c_Nat_OSuc,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_67,c_0_56]) ).
cnf(c_0_73,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_68,c_0_45]) ).
cnf(c_0_74,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| c_fFalse = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_70]),c_0_71]) ).
cnf(c_0_76,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))) != X1,
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,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_74,c_0_75])]) ).
cnf(c_0_78,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_fFalse)) != hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_79,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_67,c_0_73]) ).
cnf(c_0_80,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW333+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jun 19 09:41:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.06/1.23 Running first-order theorem proving
% 1.06/1.23 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.6SV34V4Gcv/E---3.1_1920.p
% 49.14/7.95 # Version: 3.2.0
% 49.14/7.95 # Preprocessing class: FMLMSMSMSSSNFFN.
% 49.14/7.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.14/7.95 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 49.14/7.95 # Starting new_bool_3 with 300s (1) cores
% 49.14/7.95 # Starting new_bool_1 with 300s (1) cores
% 49.14/7.95 # Starting sh5l with 300s (1) cores
% 49.14/7.95 # sh5l with pid 2196 completed with status 0
% 49.14/7.95 # Result found by sh5l
% 49.14/7.95 # Preprocessing class: FMLMSMSMSSSNFFN.
% 49.14/7.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.14/7.95 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 49.14/7.95 # Starting new_bool_3 with 300s (1) cores
% 49.14/7.95 # Starting new_bool_1 with 300s (1) cores
% 49.14/7.95 # Starting sh5l with 300s (1) cores
% 49.14/7.95 # SinE strategy is gf500_gu_R04_F100_L20000
% 49.14/7.95 # Search class: FGHSM-SMLM33-DFFFFFNN
% 49.14/7.95 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 49.14/7.95 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 49.14/7.95 # SAT001_MinMin_p005000_rr with pid 2199 completed with status 0
% 49.14/7.95 # Result found by SAT001_MinMin_p005000_rr
% 49.14/7.95 # Preprocessing class: FMLMSMSMSSSNFFN.
% 49.14/7.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.14/7.95 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 49.14/7.95 # Starting new_bool_3 with 300s (1) cores
% 49.14/7.95 # Starting new_bool_1 with 300s (1) cores
% 49.14/7.95 # Starting sh5l with 300s (1) cores
% 49.14/7.95 # SinE strategy is gf500_gu_R04_F100_L20000
% 49.14/7.95 # Search class: FGHSM-SMLM33-DFFFFFNN
% 49.14/7.95 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 49.14/7.95 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 49.14/7.95 # Preprocessing time : 0.158 s
% 49.14/7.95 # Presaturation interreduction done
% 49.14/7.95
% 49.14/7.95 # Proof found!
% 49.14/7.95 # SZS status ContradictoryAxioms
% 49.14/7.95 # SZS output start CNFRefutation
% See solution above
% 49.47/7.95 # Parsed axioms : 5209
% 49.47/7.95 # Removed by relevancy pruning/SinE : 687
% 49.47/7.95 # Initial clauses : 6530
% 49.47/7.95 # Removed in clause preprocessing : 198
% 49.47/7.95 # Initial clauses in saturation : 6332
% 49.47/7.95 # Processed clauses : 18892
% 49.47/7.95 # ...of these trivial : 296
% 49.47/7.95 # ...subsumed : 8037
% 49.47/7.95 # ...remaining for further processing : 10559
% 49.47/7.95 # Other redundant clauses eliminated : 2798
% 49.47/7.95 # Clauses deleted for lack of memory : 0
% 49.47/7.95 # Backward-subsumed : 158
% 49.47/7.95 # Backward-rewritten : 349
% 49.47/7.95 # Generated clauses : 167239
% 49.47/7.95 # ...of the previous two non-redundant : 159422
% 49.47/7.95 # ...aggressively subsumed : 0
% 49.47/7.95 # Contextual simplify-reflections : 23
% 49.47/7.95 # Paramodulations : 164442
% 49.47/7.95 # Factorizations : 2
% 49.47/7.95 # NegExts : 0
% 49.47/7.95 # Equation resolutions : 2848
% 49.47/7.95 # Disequality decompositions : 0
% 49.47/7.95 # Total rewrite steps : 53627
% 49.47/7.95 # ...of those cached : 40711
% 49.47/7.95 # Propositional unsat checks : 3
% 49.47/7.95 # Propositional check models : 2
% 49.47/7.95 # Propositional check unsatisfiable : 0
% 49.47/7.95 # Propositional clauses : 0
% 49.47/7.95 # Propositional clauses after purity: 0
% 49.47/7.95 # Propositional unsat core size : 0
% 49.47/7.95 # Propositional preprocessing time : 0.000
% 49.47/7.95 # Propositional encoding time : 0.394
% 49.47/7.95 # Propositional solver time : 0.153
% 49.47/7.95 # Success case prop preproc time : 0.000
% 49.47/7.95 # Success case prop encoding time : 0.000
% 49.47/7.95 # Success case prop solver time : 0.000
% 49.47/7.95 # Current number of processed clauses : 4609
% 49.47/7.95 # Positive orientable unit clauses : 1281
% 49.47/7.95 # Positive unorientable unit clauses: 113
% 49.47/7.95 # Negative unit clauses : 1346
% 49.47/7.95 # Non-unit-clauses : 1869
% 49.47/7.95 # Current number of unprocessed clauses: 144213
% 49.47/7.95 # ...number of literals in the above : 266059
% 49.47/7.95 # Current number of archived formulas : 0
% 49.47/7.95 # Current number of archived clauses : 5530
% 49.47/7.95 # Clause-clause subsumption calls (NU) : 2841375
% 49.47/7.95 # Rec. Clause-clause subsumption calls : 1320696
% 49.47/7.95 # Non-unit clause-clause subsumptions : 1889
% 49.47/7.95 # Unit Clause-clause subsumption calls : 127148
% 49.47/7.95 # Rewrite failures with RHS unbound : 522
% 49.47/7.95 # BW rewrite match attempts : 36169
% 49.47/7.95 # BW rewrite match successes : 1266
% 49.47/7.95 # Condensation attempts : 0
% 49.47/7.95 # Condensation successes : 0
% 49.47/7.95 # Termbank termtop insertions : 7013098
% 49.47/7.95 # Search garbage collected termcells : 93266
% 49.47/7.95
% 49.47/7.95 # -------------------------------------------------
% 49.47/7.95 # User time : 6.214 s
% 49.47/7.95 # System time : 0.207 s
% 49.47/7.95 # Total time : 6.421 s
% 49.47/7.95 # Maximum resident set size: 36952 pages
% 49.47/7.95
% 49.47/7.95 # -------------------------------------------------
% 49.47/7.95 # User time : 6.319 s
% 49.47/7.95 # System time : 0.219 s
% 49.47/7.95 # Total time : 6.538 s
% 49.47/7.95 # Maximum resident set size: 9540 pages
% 49.47/7.95 % E---3.1 exiting
% 49.47/7.95 % E exiting
%------------------------------------------------------------------------------