TSTP Solution File: SWW330+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW330+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : Theorem 4.20s 2.17s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 117 ( 78 unt; 0 def)
% Number of atoms : 179 ( 103 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 115 ( 53 ~; 38 |; 9 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 44 ( 44 usr; 17 con; 0-3 aty)
% Number of variables : 182 ( 20 sgn 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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.VCbj6tQxVF/E---3.1_6237.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.VCbj6tQxVF/E---3.1_6237.p',fact_Pls__def) ).
fof(fact_One__nat__def,axiom,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_One__nat__def) ).
fof(fact_number__of__is__id,axiom,
! [X105] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X105) = X105,
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_number__of__is__id) ).
fof(fact_transfer__int__nat__numerals_I2_J,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_transfer__int__nat__numerals_I2_J) ).
fof(fact_nat__number__of__def,axiom,
! [X147] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X147) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X147)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_nat__number__of__def) ).
fof(conj_1,conjecture,
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',conj_1) ).
fof(fact_Collect__empty__eq,axiom,
! [X6,X7] :
( hAPP(c_Set_OCollect(X7),X6) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X6,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_Collect__empty__eq) ).
fof(fact_one__is__num__one,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_one__is__num__one) ).
fof(fact_card__infinite,axiom,
! [X21,X7] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X21))
=> hAPP(c_Finite__Set_Ocard(X7),X21) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_card__infinite) ).
fof(fact_Zero__neq__Suc,axiom,
! [X37] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X37),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_Zero__neq__Suc) ).
fof(fact_Collect__def,axiom,
! [X6,X7] : hAPP(c_Set_OCollect(X7),X6) = X6,
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_Collect__def) ).
fof(fact_semiring__norm_I115_J,axiom,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_semiring__norm_I115_J) ).
fof(help_c__COMBK__1,axiom,
! [X312,X58,X7,X28] : hAPP(hAPP(c_COMBK(X28,X7),X58),X312) = X58,
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',help_c__COMBK__1) ).
fof(fact_Collect__neg__eq,axiom,
! [X6,X7] : hAPP(c_Set_OCollect(X7),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X7),c_fNot),X6)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Set_OCollect(X7),X6)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_Collect__neg__eq) ).
fof(fact_finite__Un,axiom,
! [X16,X124,X7] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X7),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X7,tc_HOL_Obool)),X124),X16)))
<=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X124))
& hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X16)) ) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_finite__Un) ).
fof(fact_Un__UNIV__right,axiom,
! [X21,X7] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X7,tc_HOL_Obool)),X21),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_Un__UNIV__right) ).
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/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_card__UNIV__bool) ).
fof(fact_mem__def,axiom,
! [X21,X19,X7] :
( hBOOL(hAPP(hAPP(c_member(X7),X19),X21))
<=> hBOOL(hAPP(X21,X19)) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_mem__def) ).
fof(fact_double__complement,axiom,
! [X21,X7] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),X21)) = X21,
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X6] :
( ~ hBOOL(hAPP(c_fNot,X6))
| ~ hBOOL(X6) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',help_c__fNot__1) ).
fof(fact_add__eq__self__zero,axiom,
! [X27,X37] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),X27) = X37
=> X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_add__eq__self__zero) ).
fof(help_c__COMBB__1,axiom,
! [X68,X4,X6,X36,X7,X22] : hAPP(hAPP(hAPP(c_COMBB(X22,X7,X36),X6),X4),X68) = hAPP(X6,hAPP(X4,X68)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',help_c__COMBB__1) ).
fof(fact_filter__id__conv,axiom,
! [X249,X6,X7] :
( hAPP(c_List_Ofilter(X7,X6),X249) = X249
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X7),X3),hAPP(c_List_Oset(X7),X249)))
=> hBOOL(hAPP(X6,X3)) ) ),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_filter__id__conv) ).
fof(fact_add__Suc__right,axiom,
! [X27,X37] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),hAPP(c_Nat_OSuc,X27)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),X27)),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X37] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X37),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X37,
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X27] : X27 != hAPP(c_Nat_OSuc,X27),
file('/export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p',fact_n__not__Suc__n) ).
cnf(c_0_27,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_28,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
cnf(c_0_29,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[fact_One__nat__def]) ).
cnf(c_0_30,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_31,plain,
! [X3108] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3108) = X3108,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
cnf(c_0_32,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[fact_transfer__int__nat__numerals_I2_J]) ).
cnf(c_0_33,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_34,plain,
! [X5411] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X5411) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X5411)),
inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).
fof(c_0_35,negated_conjecture,
~ ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_36,plain,
! [X6,X7] :
( hAPP(c_Set_OCollect(X7),X6) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X6,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
cnf(c_0_37,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),
inference(split_conjunct,[status(thm)],[fact_one__is__num__one]) ).
cnf(c_0_38,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,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_34]) ).
fof(c_0_41,plain,
! [X21,X7] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X21))
=> hAPP(c_Finite__Set_Ocard(X7),X21) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_simplification,[status(thm)],[fact_card__infinite]) ).
fof(c_0_42,plain,
! [X37] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X37),
inference(fof_simplification,[status(thm)],[fact_Zero__neq__Suc]) ).
fof(c_0_43,negated_conjecture,
! [X316] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X316),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X316) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])]) ).
fof(c_0_44,plain,
! [X4670,X4671,X4672,X4673,X4675] :
( ( hAPP(c_Set_OCollect(X4671),X4670) != c_Orderings_Obot__class_Obot(tc_fun(X4671,tc_HOL_Obool))
| ~ hBOOL(hAPP(X4670,X4672)) )
& ( hBOOL(hAPP(X4673,esk144_1(X4673)))
| hAPP(c_Set_OCollect(X4675),X4673) = c_Orderings_Obot__class_Obot(tc_fun(X4675,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_36])])])])])]) ).
fof(c_0_45,plain,
! [X4662,X4663] : hAPP(c_Set_OCollect(X4663),X4662) = X4662,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
cnf(c_0_46,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = 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_semiring__norm_I115_J]) ).
cnf(c_0_47,plain,
c_Int_OBit1(c_Int_OPls) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_48,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,X1),
inference(rw,[status(thm)],[c_0_40,c_0_38]) ).
fof(c_0_49,plain,
! [X3804,X3805] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X3805),X3804))
| hAPP(c_Finite__Set_Ocard(X3805),X3804) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
fof(c_0_50,plain,
! [X957] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X957),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
cnf(c_0_51,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_53,plain,
! [X2548,X2549,X2550,X2551] : hAPP(hAPP(c_COMBK(X2551,X2550),X2549),X2548) = X2549,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_54,plain,
( hBOOL(hAPP(X1,esk144_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_44]) ).
cnf(c_0_55,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_56,plain,
! [X2597,X2598] : hAPP(c_Set_OCollect(X2598),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2598),c_fNot),X2597)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2598,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2598),X2597)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_57,plain,
! [X824,X825,X826] :
( ( hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X825))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X826,tc_HOL_Obool)),X825),X824))) )
& ( hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X824))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X826,tc_HOL_Obool)),X825),X824))) )
& ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X825))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X826),X824))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X826),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X826,tc_HOL_Obool)),X825),X824))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__Un])])])]) ).
fof(c_0_58,plain,
! [X1988,X1989] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1989,tc_HOL_Obool)),X1988),c_Orderings_Otop__class_Otop(tc_fun(X1989,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1989,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Un__UNIV__right]) ).
cnf(c_0_59,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]) ).
cnf(c_0_60,plain,
hAPP(c_Int_Onat,c_Int_OBit0(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_30]) ).
cnf(c_0_61,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_49]) ).
cnf(c_0_62,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Int_Onat,c_Int_OPls),esk2_0),
inference(rw,[status(thm)],[c_0_51,c_0_30]) ).
cnf(c_0_64,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Int_Onat,c_Int_OPls),X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(rw,[status(thm)],[c_0_52,c_0_30]) ).
fof(c_0_65,plain,
! [X672,X673,X674] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X674),X673),X672))
| hBOOL(hAPP(X672,X673)) )
& ( ~ hBOOL(hAPP(X672,X673))
| hBOOL(hAPP(hAPP(c_member(X674),X673),X672)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
cnf(c_0_66,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_67,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk144_1(X1))) ),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_68,plain,
! [X1914,X1915] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1915,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1915,tc_HOL_Obool)),X1914)) = X1914,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_69,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_56]) ).
cnf(c_0_70,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)),X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_71,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_72,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,hAPP(c_Int_Onat,c_Int_OPls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_47]),c_0_48]),c_0_60]) ).
cnf(c_0_73,plain,
( hAPP(c_Finite__Set_Ocard(X1),X2) = hAPP(c_Int_Onat,c_Int_OPls)
| hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(rw,[status(thm)],[c_0_61,c_0_30]) ).
cnf(c_0_74,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_62,c_0_30]) ).
fof(c_0_75,plain,
! [X6] :
( ~ hBOOL(hAPP(c_fNot,X6))
| ~ hBOOL(X6) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_76,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),v_G)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_77,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_78,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_66,c_0_67]),c_0_66]) ).
fof(c_0_79,plain,
! [X2149,X2150] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2150),X2149) != X2150
| X2149 = 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])])]) ).
fof(c_0_80,plain,
! [X540,X541,X542,X543,X544,X545] : hAPP(hAPP(hAPP(c_COMBB(X545,X544,X543),X542),X541),X540) = hAPP(X542,hAPP(X541,X540)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_81,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_68]) ).
cnf(c_0_82,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_69,c_0_55]),c_0_55]) ).
fof(c_0_83,plain,
! [X5129,X5130,X5131,X5132,X5133,X5134,X5135] :
( ( hAPP(c_List_Ofilter(X5131,X5130),X5129) != X5129
| ~ hBOOL(hAPP(hAPP(c_member(X5131),X5132),hAPP(c_List_Oset(X5131),X5129)))
| hBOOL(hAPP(X5130,X5132)) )
& ( hBOOL(hAPP(hAPP(c_member(X5135),esk161_3(X5133,X5134,X5135)),hAPP(c_List_Oset(X5135),X5133)))
| hAPP(c_List_Ofilter(X5135,X5134),X5133) = X5133 )
& ( ~ hBOOL(hAPP(X5134,esk161_3(X5133,X5134,X5135)))
| hAPP(c_List_Ofilter(X5135,X5134),X5133) = X5133 ) ),
inference(distribute,[status(thm)],[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)],[fact_filter__id__conv])])])])])])]) ).
cnf(c_0_84,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_70,c_0_71]) ).
cnf(c_0_85,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_72,c_0_73]),c_0_74]) ).
fof(c_0_86,plain,
! [X2609] :
( ~ hBOOL(hAPP(c_fNot,X2609))
| ~ hBOOL(X2609) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_75])]) ).
cnf(c_0_87,negated_conjecture,
~ hBOOL(hAPP(v_G,esk2_0)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_88,plain,
( X1 = X2
| hBOOL(X1)
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_78]) ).
cnf(c_0_89,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_79]) ).
fof(c_0_90,plain,
! [X968,X969] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X969),hAPP(c_Nat_OSuc,X968)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X969),X968)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_91,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,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_81,c_0_82]),c_0_82]) ).
cnf(c_0_93,plain,
( hAPP(c_List_Ofilter(X3,X1),X2) = X2
| ~ hBOOL(hAPP(X1,esk161_3(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X1)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_95,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_96,negated_conjecture,
( X1 = hAPP(v_G,esk2_0)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,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_89,c_0_30]) ).
cnf(c_0_98,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_90]) ).
fof(c_0_99,plain,
! [X2153] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2153),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2153,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_100,plain,
! [X27] : X27 != hAPP(c_Nat_OSuc,X27),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_101,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_91]) ).
cnf(c_0_102,plain,
hAPP(c_List_Ofilter(X1,c_Finite__Set_Ofinite(tc_HOL_Obool)),X2) = X2,
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,negated_conjecture,
( hAPP(c_fNot,X1) = hAPP(v_G,esk2_0)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,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_97,c_0_98]),c_0_74]) ).
cnf(c_0_105,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_99]) ).
fof(c_0_106,plain,
! [X967] : X967 != hAPP(c_Nat_OSuc,X967),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_100])]) ).
cnf(c_0_107,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
( hAPP(c_fNot,X1) = hAPP(v_G,esk2_0)
| X1 = hAPP(v_G,esk2_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_96]) ).
cnf(c_0_109,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_104,c_0_98]) ).
cnf(c_0_110,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_105,c_0_30]) ).
cnf(c_0_111,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_112,negated_conjecture,
( hAPP(c_fNot,hAPP(v_G,esk2_0)) = X1
| X1 = hAPP(v_G,esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
hAPP(c_Nat_OSuc,hAPP(c_fNot,hAPP(v_G,esk2_0))) = hAPP(v_G,esk2_0),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_115,negated_conjecture,
hAPP(c_fNot,hAPP(v_G,esk2_0)) != hAPP(c_Nat_OSuc,hAPP(v_G,esk2_0)),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_112])]),c_0_111]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW330+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n027.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 07:02:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.06/1.21 Running first-order theorem proving
% 1.06/1.21 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.VCbj6tQxVF/E---3.1_6237.p
% 4.20/2.17 # Version: 3.2.0
% 4.20/2.17 # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.20/2.17 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.20/2.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.20/2.17 # Starting new_bool_3 with 300s (1) cores
% 4.20/2.17 # Starting new_bool_1 with 300s (1) cores
% 4.20/2.17 # Starting sh5l with 300s (1) cores
% 4.20/2.17 # new_bool_3 with pid 6317 completed with status 0
% 4.20/2.17 # Result found by new_bool_3
% 4.20/2.17 # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.20/2.17 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.20/2.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.20/2.17 # Starting new_bool_3 with 300s (1) cores
% 4.20/2.17 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.20/2.17 # Search class: FGHSM-SMLM33-DFFFFFNN
% 4.20/2.17 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.20/2.17 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 4.20/2.17 # SAT001_MinMin_p005000_rr with pid 6321 completed with status 0
% 4.20/2.17 # Result found by SAT001_MinMin_p005000_rr
% 4.20/2.17 # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.20/2.17 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.20/2.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.20/2.17 # Starting new_bool_3 with 300s (1) cores
% 4.20/2.17 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.20/2.17 # Search class: FGHSM-SMLM33-DFFFFFNN
% 4.20/2.17 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.20/2.17 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 4.20/2.17 # Preprocessing time : 0.035 s
% 4.20/2.17 # Presaturation interreduction done
% 4.20/2.17
% 4.20/2.17 # Proof found!
% 4.20/2.17 # SZS status Theorem
% 4.20/2.17 # SZS output start CNFRefutation
% See solution above
% 4.20/2.17 # Parsed axioms : 5225
% 4.20/2.17 # Removed by relevancy pruning/SinE : 3761
% 4.20/2.17 # Initial clauses : 2234
% 4.20/2.17 # Removed in clause preprocessing : 70
% 4.20/2.17 # Initial clauses in saturation : 2164
% 4.20/2.17 # Processed clauses : 4805
% 4.20/2.17 # ...of these trivial : 235
% 4.20/2.17 # ...subsumed : 1648
% 4.20/2.17 # ...remaining for further processing : 2922
% 4.20/2.17 # Other redundant clauses eliminated : 1410
% 4.20/2.17 # Clauses deleted for lack of memory : 0
% 4.20/2.17 # Backward-subsumed : 47
% 4.20/2.17 # Backward-rewritten : 234
% 4.20/2.17 # Generated clauses : 41107
% 4.20/2.17 # ...of the previous two non-redundant : 37090
% 4.20/2.17 # ...aggressively subsumed : 0
% 4.20/2.17 # Contextual simplify-reflections : 9
% 4.20/2.17 # Paramodulations : 39687
% 4.20/2.17 # Factorizations : 10
% 4.20/2.17 # NegExts : 0
% 4.20/2.17 # Equation resolutions : 1434
% 4.20/2.17 # Disequality decompositions : 0
% 4.20/2.17 # Total rewrite steps : 8927
% 4.20/2.17 # ...of those cached : 6691
% 4.20/2.17 # Propositional unsat checks : 0
% 4.20/2.17 # Propositional check models : 0
% 4.20/2.17 # Propositional check unsatisfiable : 0
% 4.20/2.17 # Propositional clauses : 0
% 4.20/2.17 # Propositional clauses after purity: 0
% 4.20/2.17 # Propositional unsat core size : 0
% 4.20/2.17 # Propositional preprocessing time : 0.000
% 4.20/2.17 # Propositional encoding time : 0.000
% 4.20/2.17 # Propositional solver time : 0.000
% 4.20/2.17 # Success case prop preproc time : 0.000
% 4.20/2.17 # Success case prop encoding time : 0.000
% 4.20/2.17 # Success case prop solver time : 0.000
% 4.20/2.17 # Current number of processed clauses : 894
% 4.20/2.17 # Positive orientable unit clauses : 384
% 4.20/2.17 # Positive unorientable unit clauses: 3
% 4.20/2.17 # Negative unit clauses : 139
% 4.20/2.18 # Non-unit-clauses : 368
% 4.20/2.18 # Current number of unprocessed clauses: 30989
% 4.20/2.18 # ...number of literals in the above : 69599
% 4.20/2.18 # Current number of archived formulas : 0
% 4.20/2.18 # Current number of archived clauses : 1860
% 4.20/2.18 # Clause-clause subsumption calls (NU) : 337980
% 4.20/2.18 # Rec. Clause-clause subsumption calls : 158248
% 4.20/2.18 # Non-unit clause-clause subsumptions : 1033
% 4.20/2.18 # Unit Clause-clause subsumption calls : 5692
% 4.20/2.18 # Rewrite failures with RHS unbound : 169
% 4.20/2.18 # BW rewrite match attempts : 7546
% 4.20/2.18 # BW rewrite match successes : 399
% 4.20/2.18 # Condensation attempts : 0
% 4.20/2.18 # Condensation successes : 0
% 4.20/2.18 # Termbank termtop insertions : 978169
% 4.20/2.18 # Search garbage collected termcells : 64591
% 4.20/2.18
% 4.20/2.18 # -------------------------------------------------
% 4.20/2.18 # User time : 0.788 s
% 4.20/2.18 # System time : 0.038 s
% 4.20/2.18 # Total time : 0.826 s
% 4.20/2.18 # Maximum resident set size: 16624 pages
% 4.20/2.18
% 4.20/2.18 # -------------------------------------------------
% 4.20/2.18 # User time : 0.903 s
% 4.20/2.18 # System time : 0.042 s
% 4.20/2.18 # Total time : 0.945 s
% 4.20/2.18 # Maximum resident set size: 9568 pages
% 4.20/2.18 % E---3.1 exiting
% 4.20/2.18 % E exiting
%------------------------------------------------------------------------------