TSTP Solution File: SWW307+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW307+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n010.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 18:14:08 EDT 2024
% Result : ContradictoryAxioms 74.70s 11.77s
% Output : CNFRefutation 74.70s
% 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,
! [X24,X5] :
( hAPP(c_Set_OCollect(X5),X24) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X24,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.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/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X24,X5] : hAPP(c_Set_OCollect(X5),X24) = X24,
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X24,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X24)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X24)),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X311,X310,X5,X54] : hAPP(hAPP(c_COMBK(X54,X5),X310),X311) = X310,
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X19,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)),X19)) = X19,
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X24] :
( ~ hBOOL(hAPP(c_fNot,X24))
| ~ hBOOL(X24) ),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',help_c__fNot__1) ).
fof(fact_Zero__neq__Suc,axiom,
! [X99] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X99),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_Zero__neq__Suc) ).
fof(help_c__COMBB__1,axiom,
! [X32,X23,X24,X38,X5,X17] : hAPP(hAPP(hAPP(c_COMBB(X17,X5,X38),X24),X23),X32) = hAPP(X24,hAPP(X23,X32)),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',help_c__COMBB__1) ).
fof(fact_number__of__is__id,axiom,
! [X100] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X100) = X100,
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_number__of__is__id) ).
fof(fact_add__eq__self__zero,axiom,
! [X98,X99] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X99),X98) = X99
=> X98 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.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.08JIUgP0lR/E---3.1_11874.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/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_Pls__def) ).
fof(fact_rev__rev__ident,axiom,
! [X229,X54] : hAPP(c_List_Orev(X54),hAPP(c_List_Orev(X54),X229)) = X229,
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.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/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_neg__number__of__Min) ).
fof(fact_add__Suc__right,axiom,
! [X98,X99] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X99),hAPP(c_Nat_OSuc,X98)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X99),X98)),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X99] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X99),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X99,
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X98] : X98 != hAPP(c_Nat_OSuc,X98),
file('/export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p',fact_n__not__Suc__n) ).
fof(c_0_18,plain,
! [X24,X5] :
( hAPP(c_Set_OCollect(X5),X24) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X24,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_19,plain,
! [X15638] : c_Orderings_Obot__class_Obot(tc_fun(X15638,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15638),hAPP(c_COMBK(tc_HOL_Obool,X15638),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X2864,X2865] : hAPP(c_Set_OCollect(X2865),X2864) = X2864,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X2886,X2887] : hAPP(c_Set_OCollect(X2887),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2887),c_fNot),X2886)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2887,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2887),X2886)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X470,X471,X472,X473,X475] :
( ( hAPP(c_Set_OCollect(X471),X470) != c_Orderings_Obot__class_Obot(tc_fun(X471,tc_HOL_Obool))
| ~ hBOOL(hAPP(X470,X472)) )
& ( hBOOL(hAPP(X473,esk12_1(X473)))
| hAPP(c_Set_OCollect(X475),X473) = c_Orderings_Obot__class_Obot(tc_fun(X475,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,
! [X1974,X1975,X1976,X1977] : hAPP(hAPP(c_COMBK(X1977,X1976),X1975),X1974) = X1975,
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,
! [X3946,X3947] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3947,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3947,tc_HOL_Obool)),X3946)) = X3946,
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,
! [X24] :
( ~ hBOOL(hAPP(c_fNot,X24))
| ~ hBOOL(X24) ),
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,
! [X99] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X99),
inference(fof_simplification,[status(thm)],[fact_Zero__neq__Suc]) ).
fof(c_0_33,plain,
! [X1364,X1365,X1366,X1367,X1368,X1369] : hAPP(hAPP(hAPP(c_COMBB(X1369,X1368,X1367),X1366),X1365),X1364) = hAPP(X1366,hAPP(X1365,X1364)),
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,
! [X5912] :
( ~ hBOOL(hAPP(c_fNot,X5912))
| ~ hBOOL(X5912) ),
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,
! [X4295] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X4295) = X4295,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_40,plain,
! [X2765,X2766] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2766),X2765) != X2766
| X2765 = 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,
! [X2760] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2760),
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,
! [X11237,X11238] : hAPP(c_List_Orev(X11238),hAPP(c_List_Orev(X11238),X11237)) = X11237,
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,
! [X2694,X2695] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2695),hAPP(c_Nat_OSuc,X2694)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2695),X2694)),
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,
! [X2769] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2769),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2769,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_63,plain,
! [X98] : X98 != hAPP(c_Nat_OSuc,X98),
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,
! [X5919] : X5919 != hAPP(c_Nat_OSuc,X5919),
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
% 0.03/0.13 % Problem : SWW307+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13 % Command : run_E %s %d SAT
% 0.13/0.34 % Computer : n010.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 05:21:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.29/1.50 Running first-order model finding
% 1.29/1.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.08JIUgP0lR/E---3.1_11874.p
% 74.70/11.77 # Version: 3.2.0
% 74.70/11.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 74.70/11.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 74.70/11.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 74.70/11.77 # Starting new_bool_3 with 300s (1) cores
% 74.70/11.77 # Starting new_bool_1 with 300s (1) cores
% 74.70/11.77 # Starting sh5l with 300s (1) cores
% 74.70/11.77 # sh5l with pid 12125 completed with status 0
% 74.70/11.77 # Result found by sh5l
% 74.70/11.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 74.70/11.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 74.70/11.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 74.70/11.77 # Starting new_bool_3 with 300s (1) cores
% 74.70/11.77 # Starting new_bool_1 with 300s (1) cores
% 74.70/11.77 # Starting sh5l with 300s (1) cores
% 74.70/11.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 74.70/11.77 # Search class: FGHSM-SMLM33-DFFFFFNN
% 74.70/11.77 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 74.70/11.77 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 74.70/11.77 # SAT001_MinMin_p005000_rr with pid 12128 completed with status 0
% 74.70/11.77 # Result found by SAT001_MinMin_p005000_rr
% 74.70/11.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 74.70/11.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 74.70/11.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 74.70/11.77 # Starting new_bool_3 with 300s (1) cores
% 74.70/11.77 # Starting new_bool_1 with 300s (1) cores
% 74.70/11.77 # Starting sh5l with 300s (1) cores
% 74.70/11.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 74.70/11.77 # Search class: FGHSM-SMLM33-DFFFFFNN
% 74.70/11.77 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 74.70/11.77 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 74.70/11.77 # Preprocessing time : 0.179 s
% 74.70/11.77 # Presaturation interreduction done
% 74.70/11.77
% 74.70/11.77 # Proof found!
% 74.70/11.77 # SZS status ContradictoryAxioms
% 74.70/11.77 # SZS output start CNFRefutation
% See solution above
% 74.70/11.77 # Parsed axioms : 5230
% 74.70/11.77 # Removed by relevancy pruning/SinE : 640
% 74.70/11.77 # Initial clauses : 6678
% 74.70/11.77 # Removed in clause preprocessing : 169
% 74.70/11.77 # Initial clauses in saturation : 6509
% 74.70/11.77 # Processed clauses : 19690
% 74.70/11.77 # ...of these trivial : 388
% 74.70/11.77 # ...subsumed : 6818
% 74.70/11.77 # ...remaining for further processing : 12484
% 74.70/11.77 # Other redundant clauses eliminated : 1432
% 74.70/11.77 # Clauses deleted for lack of memory : 0
% 74.70/11.77 # Backward-subsumed : 314
% 74.70/11.77 # Backward-rewritten : 463
% 74.70/11.77 # Generated clauses : 166271
% 74.70/11.77 # ...of the previous two non-redundant : 157971
% 74.70/11.77 # ...aggressively subsumed : 0
% 74.70/11.77 # Contextual simplify-reflections : 32
% 74.70/11.77 # Paramodulations : 164846
% 74.70/11.77 # Factorizations : 2
% 74.70/11.77 # NegExts : 0
% 74.70/11.77 # Equation resolutions : 1480
% 74.70/11.77 # Disequality decompositions : 0
% 74.70/11.77 # Total rewrite steps : 55860
% 74.70/11.77 # ...of those cached : 40191
% 74.70/11.77 # Propositional unsat checks : 3
% 74.70/11.77 # Propositional check models : 2
% 74.70/11.77 # Propositional check unsatisfiable : 0
% 74.70/11.77 # Propositional clauses : 0
% 74.70/11.77 # Propositional clauses after purity: 0
% 74.70/11.77 # Propositional unsat core size : 0
% 74.70/11.77 # Propositional preprocessing time : 0.000
% 74.70/11.77 # Propositional encoding time : 0.183
% 74.70/11.77 # Propositional solver time : 0.106
% 74.70/11.77 # Success case prop preproc time : 0.000
% 74.70/11.77 # Success case prop encoding time : 0.000
% 74.70/11.77 # Success case prop solver time : 0.000
% 74.70/11.77 # Current number of processed clauses : 6043
% 74.70/11.77 # Positive orientable unit clauses : 1415
% 74.70/11.77 # Positive unorientable unit clauses: 111
% 74.70/11.77 # Negative unit clauses : 886
% 74.70/11.77 # Non-unit-clauses : 3631
% 74.70/11.77 # Current number of unprocessed clauses: 142233
% 74.70/11.77 # ...number of literals in the above : 294699
% 74.70/11.77 # Current number of archived formulas : 0
% 74.70/11.77 # Current number of archived clauses : 6013
% 74.70/11.77 # Clause-clause subsumption calls (NU) : 3700428
% 74.70/11.77 # Rec. Clause-clause subsumption calls : 1962408
% 74.70/11.77 # Non-unit clause-clause subsumptions : 3931
% 74.70/11.77 # Unit Clause-clause subsumption calls : 152997
% 74.70/11.77 # Rewrite failures with RHS unbound : 599
% 74.70/11.77 # BW rewrite match attempts : 31502
% 74.70/11.77 # BW rewrite match successes : 1359
% 74.70/11.77 # Condensation attempts : 0
% 74.70/11.77 # Condensation successes : 0
% 74.70/11.77 # Termbank termtop insertions : 5467846
% 74.70/11.77 # Search garbage collected termcells : 96345
% 74.70/11.77
% 74.70/11.77 # -------------------------------------------------
% 74.70/11.77 # User time : 9.449 s
% 74.70/11.77 # System time : 0.263 s
% 74.70/11.77 # Total time : 9.712 s
% 74.70/11.77 # Maximum resident set size: 37628 pages
% 74.70/11.77
% 74.70/11.77 # -------------------------------------------------
% 74.70/11.77 # User time : 9.682 s
% 74.70/11.77 # System time : 0.281 s
% 74.70/11.77 # Total time : 9.963 s
% 74.70/11.77 # Maximum resident set size: 9472 pages
% 74.70/11.77 % E---3.1 exiting
% 74.70/11.77 % E exiting
%------------------------------------------------------------------------------