TSTP Solution File: SWW305+1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW305+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 18:11:34 EDT 2024
% Result : ContradictoryAxioms 70.71s 11.34s
% Output : CNFRefutation 70.71s
% 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 : 125 ( 14 sgn 70 !; 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/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_Collect__empty__eq) ).
fof(fact_empty__def,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fFalse)),
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X18,X5] : hAPP(c_Set_OCollect(X5),X18) = X18,
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_Collect__def) ).
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/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X325,X54,X5,X35] : hAPP(hAPP(c_COMBK(X35,X5),X54),X325) = X54,
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X22,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)),X22)) = X22,
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X18] :
( ~ hBOOL(hAPP(c_fNot,X18))
| ~ hBOOL(X18) ),
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',help_c__fNot__1) ).
fof(fact_Zero__not__Suc,axiom,
! [X100] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X100),
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_Zero__not__Suc) ).
fof(help_c__COMBB__1,axiom,
! [X30,X17,X18,X39,X5,X21] : hAPP(hAPP(hAPP(c_COMBB(X21,X5,X39),X18),X17),X30) = hAPP(X18,hAPP(X17,X30)),
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',help_c__COMBB__1) ).
fof(fact_number__of__is__id,axiom,
! [X107] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X107) = X107,
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_number__of__is__id) ).
fof(fact_add__eq__self__zero,axiom,
! [X76,X100] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X100),X76) = X100
=> X76 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.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.WdOyrgIx8c/E---3.1_1572.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.WdOyrgIx8c/E---3.1_1572.p',fact_Pls__def) ).
fof(fact_rev__rev__ident,axiom,
! [X249,X35] : hAPP(c_List_Orev(X35),hAPP(c_List_Orev(X35),X249)) = X249,
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.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.WdOyrgIx8c/E---3.1_1572.p',fact_neg__number__of__Min) ).
fof(fact_add__Suc__right,axiom,
! [X76,X100] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X100),hAPP(c_Nat_OSuc,X76)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X100),X76)),
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X100] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X100),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X100,
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X76] : X76 != hAPP(c_Nat_OSuc,X76),
file('/export/starexec/sandbox2/tmp/tmp.WdOyrgIx8c/E---3.1_1572.p',fact_n__not__Suc__n) ).
fof(c_0_18,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_19,plain,
! [X15416] : c_Orderings_Obot__class_Obot(tc_fun(X15416,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15416),hAPP(c_COMBK(tc_HOL_Obool,X15416),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X4333,X4334] : hAPP(c_Set_OCollect(X4334),X4333) = X4333,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X4344,X4345] : hAPP(c_Set_OCollect(X4345),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4345),c_fNot),X4344)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4345,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4345),X4344)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X597,X598,X599,X600,X602] :
( ( hAPP(c_Set_OCollect(X598),X597) != c_Orderings_Obot__class_Obot(tc_fun(X598,tc_HOL_Obool))
| ~ hBOOL(hAPP(X597,X599)) )
& ( hBOOL(hAPP(X600,esk12_1(X600)))
| hAPP(c_Set_OCollect(X602),X600) = c_Orderings_Obot__class_Obot(tc_fun(X602,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,
! [X5767,X5768,X5769,X5770] : hAPP(hAPP(c_COMBK(X5770,X5769),X5768),X5767) = X5768,
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,
! [X3988,X3989] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3989,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3989,tc_HOL_Obool)),X3988)) = X3988,
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,
! [X18] :
( ~ hBOOL(hAPP(c_fNot,X18))
| ~ hBOOL(X18) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_29,plain,
( hBOOL(hAPP(X1,esk12_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,
! [X100] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X100),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
fof(c_0_33,plain,
! [X2012,X2013,X2014,X2015,X2016,X2017] : hAPP(hAPP(hAPP(c_COMBB(X2017,X2016,X2015),X2014),X2013),X2012) = hAPP(X2014,hAPP(X2013,X2012)),
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,
! [X8332] :
( ~ hBOOL(hAPP(c_fNot,X8332))
| ~ hBOOL(X8332) ),
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,esk12_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,
! [X4747] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X4747) = X4747,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_40,plain,
! [X2967,X2968] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2968),X2967) != X2968
| X2967 = 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,
! [X2937] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2937),
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,
! [X10087,X10088] : hAPP(c_List_Orev(X10088),hAPP(c_List_Orev(X10088),X10087)) = X10087,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
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,
! [X3120,X3121] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3121),hAPP(c_Nat_OSuc,X3120)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3121),X3120)),
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_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
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,
! [X2971] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2971),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2971,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_63,plain,
! [X76] : X76 != hAPP(c_Nat_OSuc,X76),
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,
! [X5841] : X5841 != hAPP(c_Nat_OSuc,X5841),
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
% 0.04/0.13 % Problem : SWW305+1 : TPTP v8.2.0. Released v5.2.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Jun 19 06:49:09 EDT 2024
% 0.12/0.36 % 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.WdOyrgIx8c/E---3.1_1572.p
% 70.71/11.34 # Version: 3.2.0
% 70.71/11.34 # Preprocessing class: FMLMSMSMSSSNFFN.
% 70.71/11.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.71/11.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 70.71/11.34 # Starting new_bool_3 with 300s (1) cores
% 70.71/11.34 # Starting new_bool_1 with 300s (1) cores
% 70.71/11.34 # Starting sh5l with 300s (1) cores
% 70.71/11.34 # sh5l with pid 1655 completed with status 0
% 70.71/11.34 # Result found by sh5l
% 70.71/11.34 # Preprocessing class: FMLMSMSMSSSNFFN.
% 70.71/11.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.71/11.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 70.71/11.34 # Starting new_bool_3 with 300s (1) cores
% 70.71/11.34 # Starting new_bool_1 with 300s (1) cores
% 70.71/11.34 # Starting sh5l with 300s (1) cores
% 70.71/11.34 # SinE strategy is gf500_gu_R04_F100_L20000
% 70.71/11.34 # Search class: FGHSM-SMLM33-DFFFFFNN
% 70.71/11.34 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 70.71/11.34 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 70.71/11.34 # SAT001_MinMin_p005000_rr with pid 1658 completed with status 0
% 70.71/11.34 # Result found by SAT001_MinMin_p005000_rr
% 70.71/11.34 # Preprocessing class: FMLMSMSMSSSNFFN.
% 70.71/11.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.71/11.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 70.71/11.34 # Starting new_bool_3 with 300s (1) cores
% 70.71/11.34 # Starting new_bool_1 with 300s (1) cores
% 70.71/11.34 # Starting sh5l with 300s (1) cores
% 70.71/11.34 # SinE strategy is gf500_gu_R04_F100_L20000
% 70.71/11.34 # Search class: FGHSM-SMLM33-DFFFFFNN
% 70.71/11.34 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 70.71/11.34 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 70.71/11.34 # Preprocessing time : 0.152 s
% 70.71/11.34 # Presaturation interreduction done
% 70.71/11.34
% 70.71/11.34 # Proof found!
% 70.71/11.34 # SZS status ContradictoryAxioms
% 70.71/11.34 # SZS output start CNFRefutation
% See solution above
% 70.71/11.34 # Parsed axioms : 5225
% 70.71/11.34 # Removed by relevancy pruning/SinE : 643
% 70.71/11.34 # Initial clauses : 6710
% 70.71/11.34 # Removed in clause preprocessing : 174
% 70.71/11.34 # Initial clauses in saturation : 6536
% 70.71/11.34 # Processed clauses : 19888
% 70.71/11.34 # ...of these trivial : 369
% 70.71/11.34 # ...subsumed : 6888
% 70.71/11.34 # ...remaining for further processing : 12631
% 70.71/11.34 # Other redundant clauses eliminated : 1376
% 70.71/11.34 # Clauses deleted for lack of memory : 0
% 70.71/11.34 # Backward-subsumed : 385
% 70.71/11.34 # Backward-rewritten : 489
% 70.71/11.34 # Generated clauses : 169054
% 70.71/11.34 # ...of the previous two non-redundant : 160819
% 70.71/11.34 # ...aggressively subsumed : 0
% 70.71/11.34 # Contextual simplify-reflections : 33
% 70.71/11.34 # Paramodulations : 167685
% 70.71/11.34 # Factorizations : 2
% 70.71/11.34 # NegExts : 0
% 70.71/11.34 # Equation resolutions : 1424
% 70.71/11.34 # Disequality decompositions : 0
% 70.71/11.34 # Total rewrite steps : 56325
% 70.71/11.34 # ...of those cached : 40208
% 70.71/11.34 # Propositional unsat checks : 3
% 70.71/11.34 # Propositional check models : 2
% 70.71/11.34 # Propositional check unsatisfiable : 0
% 70.71/11.34 # Propositional clauses : 0
% 70.71/11.34 # Propositional clauses after purity: 0
% 70.71/11.34 # Propositional unsat core size : 0
% 70.71/11.34 # Propositional preprocessing time : 0.000
% 70.71/11.34 # Propositional encoding time : 0.204
% 70.71/11.34 # Propositional solver time : 0.097
% 70.71/11.34 # Success case prop preproc time : 0.000
% 70.71/11.34 # Success case prop encoding time : 0.000
% 70.71/11.34 # Success case prop solver time : 0.000
% 70.71/11.34 # Current number of processed clauses : 6094
% 70.71/11.34 # Positive orientable unit clauses : 1400
% 70.71/11.34 # Positive unorientable unit clauses: 112
% 70.71/11.34 # Negative unit clauses : 929
% 70.71/11.34 # Non-unit-clauses : 3653
% 70.71/11.34 # Current number of unprocessed clauses: 143889
% 70.71/11.34 # ...number of literals in the above : 298081
% 70.71/11.34 # Current number of archived formulas : 0
% 70.71/11.34 # Current number of archived clauses : 6112
% 70.71/11.34 # Clause-clause subsumption calls (NU) : 4259360
% 70.71/11.34 # Rec. Clause-clause subsumption calls : 2010280
% 70.71/11.34 # Non-unit clause-clause subsumptions : 4007
% 70.71/11.34 # Unit Clause-clause subsumption calls : 306724
% 70.71/11.34 # Rewrite failures with RHS unbound : 609
% 70.71/11.34 # BW rewrite match attempts : 31029
% 70.71/11.34 # BW rewrite match successes : 1353
% 70.71/11.34 # Condensation attempts : 0
% 70.71/11.34 # Condensation successes : 0
% 70.71/11.34 # Termbank termtop insertions : 5530544
% 70.71/11.34 # Search garbage collected termcells : 96995
% 70.71/11.34
% 70.71/11.34 # -------------------------------------------------
% 70.71/11.34 # User time : 9.097 s
% 70.71/11.34 # System time : 0.237 s
% 70.71/11.34 # Total time : 9.334 s
% 70.71/11.34 # Maximum resident set size: 37816 pages
% 70.71/11.34
% 70.71/11.34 # -------------------------------------------------
% 70.71/11.34 # User time : 9.338 s
% 70.71/11.34 # System time : 0.248 s
% 70.71/11.34 # Total time : 9.586 s
% 70.71/11.34 # Maximum resident set size: 9504 pages
% 70.71/11.34 % E---3.1 exiting
% 70.71/11.34 % E exiting
%------------------------------------------------------------------------------