TSTP Solution File: SWW351+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW351+1 : TPTP v8.1.2. 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:11:06 EDT 2023
% Result : ContradictoryAxioms 7.60s 3.35s
% Output : CNFRefutation 7.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 139 ( 85 unt; 0 def)
% Number of atoms : 221 ( 92 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 148 ( 66 ~; 58 |; 11 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 7 con; 0-3 aty)
% Number of variables : 239 ( 47 sgn; 126 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_nat__number__of__def,axiom,
! [X127] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X127) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X127)),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_nat__number__of__def) ).
fof(fact_card__infinite,axiom,
! [X18,X5] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X18))
=> hAPP(c_Finite__Set_Ocard(X5),X18) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_card__infinite) ).
fof(fact_finite__Un,axiom,
! [X4,X62,X5] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X62),X4)))
<=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X62))
& hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_finite__Un) ).
fof(fact_Un__UNIV__left,axiom,
! [X63,X5] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))),X63) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_Un__UNIV__left) ).
fof(fact_nat__2,axiom,
hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_nat__2) ).
fof(fact_card__UNIV__bool,axiom,
hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_card__UNIV__bool) ).
fof(fact_Zero__neq__Suc,axiom,
! [X103] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X103),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_Zero__neq__Suc) ).
fof(fact_bex__UNIV,axiom,
! [X23,X5] :
( ? [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))))
& hBOOL(hAPP(X23,X3)) )
<=> ? [X166] : hBOOL(hAPP(X23,X166)) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_bex__UNIV) ).
fof(fact_UNIV__I,axiom,
! [X22,X5] : hBOOL(hAPP(hAPP(c_member(X5),X22),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_UNIV__I) ).
fof(help_c__fNot__2,axiom,
! [X23] :
( ~ ~ hBOOL(X23)
| hBOOL(hAPP(c_fNot,X23)) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',help_c__fNot__2) ).
fof(fact_finite__UnionD,axiom,
! [X18,X5] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),c_Complete__Lattice_OSup__class_OSup(tc_fun(X5,tc_HOL_Obool),X18)))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X5,tc_HOL_Obool)),X18)) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_finite__UnionD) ).
fof(fact_Collect__empty__eq,axiom,
! [X23,X5] :
( hAPP(c_Set_OCollect(X5),X23) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_Collect__empty__eq) ).
fof(help_c__fNot__1,axiom,
! [X23] :
( ~ hBOOL(hAPP(c_fNot,X23))
| ~ hBOOL(X23) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',help_c__fNot__1) ).
fof(fact_Collect__def,axiom,
! [X23,X5] : hAPP(c_Set_OCollect(X5),X23) = X23,
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_Collect__def) ).
fof(help_c__COMBK__1,axiom,
! [X322,X321,X17,X5] : hAPP(hAPP(c_COMBK(X5,X17),X321),X322) = X321,
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',help_c__COMBK__1) ).
fof(fact_ball__UNIV,axiom,
! [X23,X5] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))))
=> hBOOL(hAPP(X23,X3)) )
<=> ! [X166] : hBOOL(hAPP(X23,X166)) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_ball__UNIV) ).
fof(fact_Collect__neg__eq,axiom,
! [X23,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X23)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X23)),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_Collect__neg__eq) ).
fof(fact_double__complement,axiom,
! [X18,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)),X18)) = X18,
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_double__complement) ).
fof(fact_top1I,axiom,
! [X22,X5] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),X22)),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_top1I) ).
fof(help_c__COMBB__1,axiom,
! [X31,X26,X23,X81,X5,X17] : hAPP(hAPP(hAPP(c_COMBB(X17,X5,X81),X23),X26),X31) = hAPP(X23,hAPP(X26,X31)),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',help_c__COMBB__1) ).
fof(fact_filter__id__conv,axiom,
! [X243,X23,X5] :
( hAPP(c_List_Ofilter(X5,X23),X243) = X243
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),hAPP(c_List_Oset(X5),X243)))
=> hBOOL(hAPP(X23,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_filter__id__conv) ).
fof(fact_n__not__Suc__n,axiom,
! [X102] : X102 != hAPP(c_Nat_OSuc,X102),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_n__not__Suc__n) ).
fof(fact_add__eq__self__zero,axiom,
! [X102,X103] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X103),X102) = X103
=> X102 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_add__eq__self__zero) ).
fof(fact_add__Suc__right,axiom,
! [X102,X103] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X103),hAPP(c_Nat_OSuc,X102)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X103),X102)),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_add__Suc__right) ).
fof(fact_Suc__inject,axiom,
! [X65,X64] :
( hAPP(c_Nat_OSuc,X64) = hAPP(c_Nat_OSuc,X65)
=> X64 = X65 ),
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_Suc__inject) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X103] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X103),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X103,
file('/export/starexec/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p',fact_Nat_Oadd__0__right) ).
fof(c_0_26,plain,
! [X5221] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X5221) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X5221)),
inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).
fof(c_0_27,plain,
! [X18,X5] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X18))
=> hAPP(c_Finite__Set_Ocard(X5),X18) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_simplification,[status(thm)],[fact_card__infinite]) ).
fof(c_0_28,plain,
! [X1939,X1940,X1941] :
( ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1941),X1940))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1941),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1941,tc_HOL_Obool)),X1940),X1939))) )
& ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1941),X1939))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1941),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1941,tc_HOL_Obool)),X1940),X1939))) )
& ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1941),X1940))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1941),X1939))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X1941),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1941,tc_HOL_Obool)),X1940),X1939))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__Un])])]) ).
fof(c_0_29,plain,
! [X2632,X2633] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2633,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X2633,tc_HOL_Obool))),X2632) = c_Orderings_Otop__class_Otop(tc_fun(X2633,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Un__UNIV__left]) ).
cnf(c_0_30,plain,
hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(split_conjunct,[status(thm)],[fact_nat__2]) ).
cnf(c_0_31,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
inference(split_conjunct,[status(thm)],[fact_card__UNIV__bool]) ).
fof(c_0_33,plain,
! [X4332,X4333] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X4333),X4332))
| hAPP(c_Finite__Set_Ocard(X4333),X4332) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_34,plain,
! [X3303] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X3303),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
cnf(c_0_35,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_38,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| hAPP(c_Finite__Set_Ocard(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,plain,
! [X2663,X2664,X2665,X2667,X2668,X2669] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X2664),X2665),c_Orderings_Otop__class_Otop(tc_fun(X2664,tc_HOL_Obool))))
| ~ hBOOL(hAPP(X2663,X2665))
| hBOOL(hAPP(X2663,esk83_1(X2663))) )
& ( hBOOL(hAPP(hAPP(c_member(X2669),esk84_2(X2667,X2669)),c_Orderings_Otop__class_Otop(tc_fun(X2669,tc_HOL_Obool))))
| ~ hBOOL(hAPP(X2667,X2668)) )
& ( hBOOL(hAPP(X2667,esk84_2(X2667,X2669)))
| ~ hBOOL(hAPP(X2667,X2668)) ) ),
inference(distribute,[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)],[fact_bex__UNIV])])])])])]) ).
fof(c_0_41,plain,
! [X2621,X2622] : hBOOL(hAPP(hAPP(c_member(X2622),X2621),c_Orderings_Otop__class_Otop(tc_fun(X2622,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_UNIV__I]) ).
fof(c_0_42,plain,
! [X23] :
( hBOOL(X23)
| hBOOL(hAPP(c_fNot,X23)) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__2]) ).
fof(c_0_43,plain,
! [X5524,X5525] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X5525),c_Complete__Lattice_OSup__class_OSup(tc_fun(X5525,tc_HOL_Obool),X5524)))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X5525,tc_HOL_Obool)),X5524)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__UnionD])]) ).
cnf(c_0_44,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
fof(c_0_46,plain,
! [X23,X5] :
( hAPP(c_Set_OCollect(X5),X23) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_47,plain,
! [X23] :
( ~ hBOOL(hAPP(c_fNot,X23))
| ~ hBOOL(X23) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_48,plain,
( hBOOL(hAPP(X3,esk83_1(X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_50,plain,
! [X1671] :
( hBOOL(X1671)
| hBOOL(hAPP(c_fNot,X1671)) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(X1,tc_HOL_Obool)),X2))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Complete__Lattice_OSup__class_OSup(tc_fun(X1,tc_HOL_Obool),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X1)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_53,plain,
! [X1782,X1783,X1784,X1785,X1787] :
( ( hAPP(c_Set_OCollect(X1783),X1782) != c_Orderings_Obot__class_Obot(tc_fun(X1783,tc_HOL_Obool))
| ~ hBOOL(hAPP(X1782,X1784)) )
& ( hBOOL(hAPP(X1785,esk40_1(X1785)))
| hAPP(c_Set_OCollect(X1787),X1785) = c_Orderings_Obot__class_Obot(tc_fun(X1787,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_46])])])])]) ).
fof(c_0_54,plain,
! [X1788,X1789] : hAPP(c_Set_OCollect(X1789),X1788) = X1788,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_55,plain,
! [X1670] :
( ~ hBOOL(hAPP(c_fNot,X1670))
| ~ hBOOL(X1670) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( hBOOL(hAPP(X1,esk83_1(X1)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_57,plain,
( hBOOL(X1)
| hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,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_53]) ).
cnf(c_0_60,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( hBOOL(hAPP(X1,esk40_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_53]) ).
cnf(c_0_62,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_63,plain,
( hBOOL(hAPP(c_fNot,esk83_1(c_fNot)))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_64,plain,
! [X1611,X1612,X1613,X1614] : hAPP(hAPP(c_COMBK(X1614,X1613),X1612),X1611) = X1612,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_65,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_HOL_Obool)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_58]) ).
cnf(c_0_66,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_59,c_0_60])]) ).
cnf(c_0_67,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk40_1(X1))) ),
inference(rw,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_68,plain,
( hBOOL(hAPP(X1,esk84_2(X1,X2)))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_69,plain,
hBOOL(hAPP(c_fNot,esk83_1(c_fNot))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_63]) ).
cnf(c_0_70,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(tc_fun(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_65]) ).
cnf(c_0_72,plain,
( hBOOL(hAPP(X1,esk40_1(X1)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
hBOOL(hAPP(c_fNot,esk84_2(c_fNot,X1))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
~ hBOOL(esk83_1(c_fNot)),
inference(spm,[status(thm)],[c_0_62,c_0_69]) ).
cnf(c_0_75,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_70,c_0_67]),c_0_70]) ).
fof(c_0_76,plain,
! [X2654,X2655,X2657,X2658,X2660,X2661] :
( ( hBOOL(hAPP(hAPP(c_member(X2655),esk81_2(X2654,X2655)),c_Orderings_Otop__class_Otop(tc_fun(X2655,tc_HOL_Obool))))
| hBOOL(hAPP(X2654,X2657)) )
& ( ~ hBOOL(hAPP(X2654,esk81_2(X2654,X2655)))
| hBOOL(hAPP(X2654,X2657)) )
& ( ~ hBOOL(hAPP(X2658,esk82_1(X2658)))
| ~ hBOOL(hAPP(hAPP(c_member(X2660),X2661),c_Orderings_Otop__class_Otop(tc_fun(X2660,tc_HOL_Obool))))
| hBOOL(hAPP(X2658,X2661)) ) ),
inference(distribute,[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)],[fact_ball__UNIV])])])])])]) ).
fof(c_0_77,plain,
! [X1660,X1661] : hAPP(c_Set_OCollect(X1661),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1661),c_fNot),X1660)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1661,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1661),X1660)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
cnf(c_0_78,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(tc_fun(tc_fun(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_71]) ).
cnf(c_0_79,plain,
hBOOL(hAPP(c_fNot,esk40_1(c_fNot))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = esk83_1(c_fNot),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,esk82_1(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X3),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)))) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_82,plain,
! [X4635,X4636] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4636,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4636,tc_HOL_Obool)),X4635)) = X4635,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_83,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_77]) ).
cnf(c_0_84,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_78]) ).
cnf(c_0_85,plain,
~ hBOOL(esk40_1(c_fNot)),
inference(spm,[status(thm)],[c_0_62,c_0_79]) ).
cnf(c_0_86,plain,
( esk83_1(c_fNot) = X1
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_80]) ).
cnf(c_0_87,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,esk82_1(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_49])]) ).
fof(c_0_88,plain,
! [X2640,X2641] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2641,tc_HOL_Obool)),X2640)),
inference(variable_rename,[status(thm)],[fact_top1I]) ).
fof(c_0_89,plain,
! [X1672,X1673,X1674,X1675,X1676,X1677] : hAPP(hAPP(hAPP(c_COMBB(X1677,X1676,X1675),X1674),X1673),X1672) = hAPP(X1674,hAPP(X1673,X1672)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_90,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_82]) ).
cnf(c_0_91,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_83,c_0_60]),c_0_60]) ).
fof(c_0_92,plain,
! [X4941,X4942,X4943,X4944,X4945,X4946,X4947] :
( ( hAPP(c_List_Ofilter(X4943,X4942),X4941) != X4941
| ~ hBOOL(hAPP(hAPP(c_member(X4943),X4944),hAPP(c_List_Oset(X4943),X4941)))
| hBOOL(hAPP(X4942,X4944)) )
& ( hBOOL(hAPP(hAPP(c_member(X4947),esk166_3(X4945,X4946,X4947)),hAPP(c_List_Oset(X4947),X4945)))
| hAPP(c_List_Ofilter(X4947,X4946),X4945) = X4945 )
& ( ~ hBOOL(hAPP(X4946,esk166_3(X4945,X4946,X4947)))
| hAPP(c_List_Ofilter(X4947,X4946),X4945) = X4945 ) ),
inference(distribute,[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)],[fact_filter__id__conv])])])])])]) ).
cnf(c_0_93,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_84]) ).
cnf(c_0_94,plain,
esk83_1(c_fNot) = esk40_1(c_fNot),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,plain,
( hBOOL(hAPP(c_fNot,X1))
| hBOOL(esk82_1(c_fNot)) ),
inference(spm,[status(thm)],[c_0_87,c_0_57]) ).
cnf(c_0_96,plain,
( hBOOL(esk84_2(c_Set_OCollect(X1),X2))
| ~ hBOOL(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_60]),c_0_60]) ).
cnf(c_0_97,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_98,plain,
! [X3205] : X3205 != hAPP(c_Nat_OSuc,X3205),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_99,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_100,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_90,c_0_91]),c_0_91]) ).
cnf(c_0_101,plain,
( hAPP(c_List_Ofilter(X3,X1),X2) = X2
| ~ hBOOL(hAPP(X1,esk166_3(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_102,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool)),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_93]) ).
cnf(c_0_103,plain,
( esk40_1(c_fNot) = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_86,c_0_94]) ).
cnf(c_0_104,plain,
( hBOOL(esk82_1(c_fNot))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_95]) ).
cnf(c_0_105,plain,
hBOOL(esk84_2(c_Set_OCollect(X1),X2)),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_106,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_107,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_99]) ).
cnf(c_0_108,plain,
hAPP(c_List_Ofilter(X1,c_Finite__Set_Ofinite(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool))),X2) = X2,
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_109,plain,
( esk40_1(c_fNot) = hAPP(c_fNot,X1)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_103]) ).
cnf(c_0_110,plain,
hBOOL(esk82_1(c_fNot)),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_111,plain,
! [X3165,X3166] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3166),X3165) != X3166
| X3165 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])]) ).
fof(c_0_112,plain,
! [X3233,X3234] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3234),hAPP(c_Nat_OSuc,X3233)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3234),X3233)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_113,plain,
hBOOL(hAPP(c_Nat_OSuc,esk40_1(c_fNot))),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_103])]) ).
cnf(c_0_114,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,plain,
hAPP(c_fNot,esk82_1(c_fNot)) = esk40_1(c_fNot),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,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_111]) ).
cnf(c_0_117,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_112]) ).
fof(c_0_118,plain,
! [X3200,X3201] :
( hAPP(c_Nat_OSuc,X3201) != hAPP(c_Nat_OSuc,X3200)
| X3201 = X3200 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__inject])]) ).
cnf(c_0_119,plain,
hAPP(c_fNot,hAPP(c_Nat_OSuc,esk40_1(c_fNot))) = esk40_1(c_fNot),
inference(spm,[status(thm)],[c_0_109,c_0_113]) ).
cnf(c_0_120,plain,
hAPP(c_fNot,esk40_1(c_fNot)) = esk82_1(c_fNot),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,plain,
hBOOL(hAPP(c_Nat_OSuc,esk40_1(c_Nat_OSuc))),
inference(spm,[status(thm)],[c_0_72,c_0_113]) ).
cnf(c_0_122,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_116,c_0_117]),c_0_39]) ).
fof(c_0_123,plain,
! [X3169] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3169),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X3169,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_124,plain,
( X1 = X2
| hAPP(c_Nat_OSuc,X1) != hAPP(c_Nat_OSuc,X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_125,plain,
hAPP(c_Nat_OSuc,esk40_1(c_fNot)) = esk82_1(c_fNot),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_119]),c_0_120]) ).
cnf(c_0_126,plain,
hAPP(c_fNot,hAPP(c_Nat_OSuc,esk40_1(c_Nat_OSuc))) = esk40_1(c_fNot),
inference(spm,[status(thm)],[c_0_109,c_0_121]) ).
cnf(c_0_127,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_122,c_0_117]) ).
cnf(c_0_128,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_123]) ).
cnf(c_0_129,plain,
( X1 = esk40_1(c_fNot)
| hAPP(c_Nat_OSuc,X1) != esk82_1(c_fNot) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,plain,
hAPP(c_Nat_OSuc,esk40_1(c_Nat_OSuc)) = esk82_1(c_fNot),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_126]),c_0_120]) ).
cnf(c_0_131,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_132,plain,
esk40_1(c_fNot) = esk40_1(c_Nat_OSuc),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,plain,
hBOOL(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,esk40_1(c_fNot)))),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_103])]) ).
cnf(c_0_134,plain,
( esk40_1(c_Nat_OSuc) = hAPP(c_fNot,X1)
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_109,c_0_132]) ).
cnf(c_0_135,plain,
hBOOL(hAPP(c_Nat_OSuc,esk82_1(c_fNot))),
inference(spm,[status(thm)],[c_0_133,c_0_125]) ).
cnf(c_0_136,plain,
hAPP(c_fNot,hAPP(c_Nat_OSuc,esk82_1(c_fNot))) = esk40_1(c_Nat_OSuc),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_137,plain,
hAPP(c_fNot,esk40_1(c_Nat_OSuc)) = esk82_1(c_fNot),
inference(rw,[status(thm)],[c_0_120,c_0_132]) ).
cnf(c_0_138,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_136]),c_0_137]),c_0_106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWW351+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n008.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Oct 2 22:14:13 EDT 2023
% 0.09/0.30 % CPUTime :
% 1.31/1.50 Running first-order model finding
% 1.31/1.50 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.eyeQinaSMV/E---3.1_6110.p
% 7.60/3.35 # Version: 3.1pre001
% 7.60/3.35 # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.60/3.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.60/3.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.60/3.35 # Starting new_bool_3 with 300s (1) cores
% 7.60/3.35 # Starting new_bool_1 with 300s (1) cores
% 7.60/3.35 # Starting sh5l with 300s (1) cores
% 7.60/3.35 # new_bool_3 with pid 6188 completed with status 0
% 7.60/3.35 # Result found by new_bool_3
% 7.60/3.35 # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.60/3.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.60/3.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.60/3.35 # Starting new_bool_3 with 300s (1) cores
% 7.60/3.35 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.60/3.35 # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.60/3.35 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.60/3.35 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 7.60/3.35 # SAT001_MinMin_p005000_rr with pid 6191 completed with status 0
% 7.60/3.35 # Result found by SAT001_MinMin_p005000_rr
% 7.60/3.35 # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.60/3.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.60/3.35 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.60/3.35 # Starting new_bool_3 with 300s (1) cores
% 7.60/3.35 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.60/3.35 # Search class: FGHSM-SMLM33-DFFFFFNN
% 7.60/3.35 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.60/3.35 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 7.60/3.35 # Preprocessing time : 0.046 s
% 7.60/3.35 # Presaturation interreduction done
% 7.60/3.35
% 7.60/3.35 # Proof found!
% 7.60/3.35 # SZS status ContradictoryAxioms
% 7.60/3.35 # SZS output start CNFRefutation
% See solution above
% 7.60/3.35 # Parsed axioms : 5229
% 7.60/3.35 # Removed by relevancy pruning/SinE : 3777
% 7.60/3.35 # Initial clauses : 2190
% 7.60/3.35 # Removed in clause preprocessing : 64
% 7.60/3.35 # Initial clauses in saturation : 2126
% 7.60/3.35 # Processed clauses : 5820
% 7.60/3.35 # ...of these trivial : 209
% 7.60/3.35 # ...subsumed : 2519
% 7.60/3.35 # ...remaining for further processing : 3092
% 7.60/3.35 # Other redundant clauses eliminated : 1391
% 7.60/3.35 # Clauses deleted for lack of memory : 0
% 7.60/3.35 # Backward-subsumed : 22
% 7.60/3.35 # Backward-rewritten : 251
% 7.60/3.35 # Generated clauses : 62637
% 7.60/3.35 # ...of the previous two non-redundant : 57247
% 7.60/3.35 # ...aggressively subsumed : 0
% 7.60/3.35 # Contextual simplify-reflections : 17
% 7.60/3.35 # Paramodulations : 61244
% 7.60/3.35 # Factorizations : 4
% 7.60/3.35 # NegExts : 0
% 7.60/3.35 # Equation resolutions : 1415
% 7.60/3.35 # Total rewrite steps : 11869
% 7.60/3.35 # Propositional unsat checks : 0
% 7.60/3.35 # Propositional check models : 0
% 7.60/3.35 # Propositional check unsatisfiable : 0
% 7.60/3.35 # Propositional clauses : 0
% 7.60/3.35 # Propositional clauses after purity: 0
% 7.60/3.35 # Propositional unsat core size : 0
% 7.60/3.35 # Propositional preprocessing time : 0.000
% 7.60/3.35 # Propositional encoding time : 0.000
% 7.60/3.35 # Propositional solver time : 0.000
% 7.60/3.35 # Success case prop preproc time : 0.000
% 7.60/3.35 # Success case prop encoding time : 0.000
% 7.60/3.35 # Success case prop solver time : 0.000
% 7.60/3.35 # Current number of processed clauses : 1055
% 7.60/3.35 # Positive orientable unit clauses : 484
% 7.60/3.35 # Positive unorientable unit clauses: 56
% 7.60/3.35 # Negative unit clauses : 140
% 7.60/3.35 # Non-unit-clauses : 375
% 7.60/3.35 # Current number of unprocessed clauses: 51167
% 7.60/3.35 # ...number of literals in the above : 106879
% 7.60/3.35 # Current number of archived formulas : 0
% 7.60/3.35 # Current number of archived clauses : 1870
% 7.60/3.35 # Clause-clause subsumption calls (NU) : 272342
% 7.60/3.35 # Rec. Clause-clause subsumption calls : 152456
% 7.60/3.35 # Non-unit clause-clause subsumptions : 1390
% 7.60/3.35 # Unit Clause-clause subsumption calls : 9740
% 7.60/3.35 # Rewrite failures with RHS unbound : 352
% 7.60/3.35 # BW rewrite match attempts : 8799
% 7.60/3.35 # BW rewrite match successes : 827
% 7.60/3.35 # Condensation attempts : 0
% 7.60/3.35 # Condensation successes : 0
% 7.60/3.35 # Termbank termtop insertions : 1640263
% 7.60/3.35
% 7.60/3.35 # -------------------------------------------------
% 7.60/3.35 # User time : 1.478 s
% 7.60/3.35 # System time : 0.074 s
% 7.60/3.35 # Total time : 1.551 s
% 7.60/3.35 # Maximum resident set size: 16324 pages
% 7.60/3.35
% 7.60/3.35 # -------------------------------------------------
% 7.60/3.35 # User time : 1.702 s
% 7.60/3.35 # System time : 0.088 s
% 7.60/3.35 # Total time : 1.790 s
% 7.60/3.35 # Maximum resident set size: 9496 pages
% 7.60/3.35 % E---3.1 exiting
%------------------------------------------------------------------------------