TSTP Solution File: SWW329+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW329+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n019.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 18:14:12 EDT 2024
% Result : Theorem 5.95s 3.00s
% Output : CNFRefutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 115 ( 77 unt; 0 def)
% Number of atoms : 176 ( 103 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 112 ( 51 ~; 37 |; 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 : 45 ( 45 usr; 18 con; 0-3 aty)
% Number of variables : 183 ( 20 sgn 106 !; 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.2dfKr6ZpfL/E---3.1_10123.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.2dfKr6ZpfL/E---3.1_10123.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.2dfKr6ZpfL/E---3.1_10123.p',fact_One__nat__def) ).
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.2dfKr6ZpfL/E---3.1_10123.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.2dfKr6ZpfL/E---3.1_10123.p',fact_transfer__int__nat__numerals_I2_J) ).
fof(fact_nat__number__of__def,axiom,
! [X160] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X160) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X160)),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_nat__number__of__def) ).
fof(fact_Collect__empty__eq,axiom,
! [X16,X10] :
( hAPP(c_Set_OCollect(X10),X16) = c_Orderings_Obot__class_Obot(tc_fun(X10,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X16,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.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.2dfKr6ZpfL/E---3.1_10123.p',fact_one__is__num__one) ).
fof(fact_card__infinite,axiom,
! [X19,X10] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X10),X19))
=> hAPP(c_Finite__Set_Ocard(X10),X19) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_card__infinite) ).
fof(fact_Zero__neq__Suc,axiom,
! [X58] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X58),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_Zero__neq__Suc) ).
fof(conj_1,conjecture,
! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,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,X13,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',conj_1) ).
fof(fact_Collect__def,axiom,
! [X16,X10] : hAPP(c_Set_OCollect(X10),X16) = X16,
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_Collect__def) ).
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.2dfKr6ZpfL/E---3.1_10123.p',fact_card__UNIV__bool) ).
fof(help_c__COMBK__1,axiom,
! [X312,X66,X10,X29] : hAPP(hAPP(c_COMBK(X29,X10),X66),X312) = X66,
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',help_c__COMBK__1) ).
fof(fact_Collect__neg__eq,axiom,
! [X16,X10] : hAPP(c_Set_OCollect(X10),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X10),c_fNot),X16)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X10,tc_HOL_Obool)),hAPP(c_Set_OCollect(X10),X16)),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_Collect__neg__eq) ).
fof(fact_finite__Un,axiom,
! [X12,X126,X10] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X10),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X10,tc_HOL_Obool)),X126),X12)))
<=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(X10),X126))
& hBOOL(hAPP(c_Finite__Set_Ofinite(X10),X12)) ) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_finite__Un) ).
fof(fact_Un__UNIV__right,axiom,
! [X19,X10] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X10,tc_HOL_Obool)),X19),c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool)),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_Un__UNIV__right) ).
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.2dfKr6ZpfL/E---3.1_10123.p',fact_semiring__norm_I115_J) ).
fof(fact_mem__def,axiom,
! [X19,X17,X10] :
( hBOOL(hAPP(hAPP(c_member(X10),X17),X19))
<=> hBOOL(hAPP(X19,X17)) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_mem__def) ).
fof(fact_double__complement,axiom,
! [X19,X10] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X10,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X10,tc_HOL_Obool)),X19)) = X19,
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X16] :
( ~ hBOOL(hAPP(c_fNot,X16))
| ~ hBOOL(X16) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',help_c__fNot__1) ).
fof(fact_add__eq__self__zero,axiom,
! [X28,X58] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X58),X28) = X58
=> X28 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_add__eq__self__zero) ).
fof(help_c__COMBB__1,axiom,
! [X54,X15,X16,X24,X10,X20] : hAPP(hAPP(hAPP(c_COMBB(X20,X10,X24),X16),X15),X54) = hAPP(X16,hAPP(X15,X54)),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',help_c__COMBB__1) ).
fof(fact_filter__id__conv,axiom,
! [X251,X16,X10] :
( hAPP(c_List_Ofilter(X10,X16),X251) = X251
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X10),X3),hAPP(c_List_Oset(X10),X251)))
=> hBOOL(hAPP(X16,X3)) ) ),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_filter__id__conv) ).
fof(fact_add__Suc__right,axiom,
! [X28,X58] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X58),hAPP(c_Nat_OSuc,X28)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X58),X28)),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X58] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X58),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X58,
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X28] : X28 != hAPP(c_Nat_OSuc,X28),
file('/export/starexec/sandbox/tmp/tmp.2dfKr6ZpfL/E---3.1_10123.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,
! [X3105] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3105) = X3105,
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,
! [X5412] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X5412) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X5412)),
inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).
fof(c_0_35,plain,
! [X16,X10] :
( hAPP(c_Set_OCollect(X10),X16) = c_Orderings_Obot__class_Obot(tc_fun(X10,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X16,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
cnf(c_0_36,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_37,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,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_39,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_40,plain,
! [X19,X10] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X10),X19))
=> hAPP(c_Finite__Set_Ocard(X10),X19) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_simplification,[status(thm)],[fact_card__infinite]) ).
fof(c_0_41,plain,
! [X58] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X58),
inference(fof_simplification,[status(thm)],[fact_Zero__neq__Suc]) ).
fof(c_0_42,negated_conjecture,
~ ! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,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,X13,X3) ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_43,plain,
! [X4665,X4666,X4667,X4668,X4670] :
( ( hAPP(c_Set_OCollect(X4666),X4665) != c_Orderings_Obot__class_Obot(tc_fun(X4666,tc_HOL_Obool))
| ~ hBOOL(hAPP(X4665,X4667)) )
& ( hBOOL(hAPP(X4668,esk144_1(X4668)))
| hAPP(c_Set_OCollect(X4670),X4668) = c_Orderings_Obot__class_Obot(tc_fun(X4670,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_35])])])])])]) ).
fof(c_0_44,plain,
! [X4663,X4664] : hAPP(c_Set_OCollect(X4664),X4663) = X4663,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
cnf(c_0_45,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_46,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_36,c_0_37]),c_0_38]) ).
cnf(c_0_47,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,X1),
inference(rw,[status(thm)],[c_0_39,c_0_37]) ).
fof(c_0_48,plain,
! [X3808,X3809] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X3809),X3808))
| hAPP(c_Finite__Set_Ocard(X3809),X3808) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
fof(c_0_49,plain,
! [X944] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X944),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_50,negated_conjecture,
! [X317] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X317),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X317) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_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,esk2_0,esk3_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_42])])])])]) ).
fof(c_0_51,plain,
! [X2549,X2550,X2551,X2552] : hAPP(hAPP(c_COMBK(X2552,X2551),X2550),X2549) = X2550,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_52,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_43]) ).
cnf(c_0_53,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_54,plain,
! [X2600,X2601] : hAPP(c_Set_OCollect(X2601),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2601),c_fNot),X2600)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2601,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2601),X2600)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_55,plain,
! [X849,X850,X851] :
( ( hBOOL(hAPP(c_Finite__Set_Ofinite(X851),X850))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X851),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X851,tc_HOL_Obool)),X850),X849))) )
& ( hBOOL(hAPP(c_Finite__Set_Ofinite(X851),X849))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X851),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X851,tc_HOL_Obool)),X850),X849))) )
& ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X851),X850))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X851),X849))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X851),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X851,tc_HOL_Obool)),X850),X849))) ) ),
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_56,plain,
! [X1925,X1926] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1926,tc_HOL_Obool)),X1925),c_Orderings_Otop__class_Otop(tc_fun(X1926,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1926,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Un__UNIV__right]) ).
cnf(c_0_57,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_58,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_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_59,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_48]) ).
cnf(c_0_60,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_63,plain,
! [X661,X662,X663] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X663),X662),X661))
| hBOOL(hAPP(X661,X662)) )
& ( ~ hBOOL(hAPP(X661,X662))
| hBOOL(hAPP(hAPP(c_member(X663),X662),X661)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
cnf(c_0_64,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_65,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_52,c_0_53]) ).
fof(c_0_66,plain,
! [X1967,X1968] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1968,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1968,tc_HOL_Obool)),X1967)) = X1967,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_67,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_54]) ).
cnf(c_0_68,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_55]) ).
cnf(c_0_69,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_56]) ).
cnf(c_0_70,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)],[inference(rw,[status(thm)],[c_0_57,c_0_46]),c_0_47]),c_0_58]),c_0_30]) ).
cnf(c_0_71,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_59,c_0_30]) ).
cnf(c_0_72,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_60,c_0_30]) ).
fof(c_0_73,plain,
! [X16] :
( ~ hBOOL(hAPP(c_fNot,X16))
| ~ hBOOL(X16) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_74,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_G)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_75,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,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_64,c_0_65]),c_0_64]) ).
fof(c_0_77,plain,
! [X2154,X2155] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2155),X2154) != X2155
| X2154 = 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_78,plain,
! [X541,X542,X543,X544,X545,X546] : hAPP(hAPP(hAPP(c_COMBB(X546,X545,X544),X543),X542),X541) = hAPP(X543,hAPP(X542,X541)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_79,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_66]) ).
cnf(c_0_80,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_67,c_0_53]),c_0_53]) ).
fof(c_0_81,plain,
! [X5130,X5131,X5132,X5133,X5134,X5135,X5136] :
( ( hAPP(c_List_Ofilter(X5132,X5131),X5130) != X5130
| ~ hBOOL(hAPP(hAPP(c_member(X5132),X5133),hAPP(c_List_Oset(X5132),X5130)))
| hBOOL(hAPP(X5131,X5133)) )
& ( hBOOL(hAPP(hAPP(c_member(X5136),esk162_3(X5134,X5135,X5136)),hAPP(c_List_Oset(X5136),X5134)))
| hAPP(c_List_Ofilter(X5136,X5135),X5134) = X5134 )
& ( ~ hBOOL(hAPP(X5135,esk162_3(X5134,X5135,X5136)))
| hAPP(c_List_Ofilter(X5136,X5135),X5134) = X5134 ) ),
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_82,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_68,c_0_69]) ).
cnf(c_0_83,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_70,c_0_71]),c_0_72]) ).
fof(c_0_84,plain,
! [X2610] :
( ~ hBOOL(hAPP(c_fNot,X2610))
| ~ hBOOL(X2610) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_73])]) ).
cnf(c_0_85,negated_conjecture,
~ hBOOL(hAPP(v_G,esk3_0)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_86,plain,
( X1 = X2
| hBOOL(X1)
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_76]) ).
cnf(c_0_87,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_77]) ).
fof(c_0_88,plain,
! [X949,X950] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X950),hAPP(c_Nat_OSuc,X949)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X950),X949)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_89,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,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_79,c_0_80]),c_0_80]) ).
cnf(c_0_91,plain,
( hAPP(c_List_Ofilter(X3,X1),X2) = X2
| ~ hBOOL(hAPP(X1,esk162_3(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_92,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X1)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_94,negated_conjecture,
( X1 = hAPP(v_G,esk3_0)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,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_87,c_0_30]) ).
cnf(c_0_96,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_88]) ).
fof(c_0_97,plain,
! [X2151] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2151),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2151,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_98,plain,
! [X28] : X28 != hAPP(c_Nat_OSuc,X28),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_99,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_89]) ).
cnf(c_0_100,plain,
hAPP(c_List_Ofilter(X1,c_Finite__Set_Ofinite(tc_HOL_Obool)),X2) = X2,
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
( hAPP(c_fNot,X1) = hAPP(v_G,esk3_0)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_102,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_95,c_0_96]),c_0_72]) ).
cnf(c_0_103,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_97]) ).
fof(c_0_104,plain,
! [X937] : X937 != hAPP(c_Nat_OSuc,X937),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_98])]) ).
cnf(c_0_105,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,negated_conjecture,
( hAPP(c_fNot,X1) = hAPP(v_G,esk3_0)
| X1 = hAPP(v_G,esk3_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_94]) ).
cnf(c_0_107,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_102,c_0_96]) ).
cnf(c_0_108,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_103,c_0_30]) ).
cnf(c_0_109,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( hAPP(c_fNot,hAPP(v_G,esk3_0)) = X1
| X1 = hAPP(v_G,esk3_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
hAPP(c_Nat_OSuc,hAPP(c_fNot,hAPP(v_G,esk3_0))) = hAPP(v_G,esk3_0),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_113,negated_conjecture,
hAPP(c_fNot,hAPP(v_G,esk3_0)) != hAPP(c_Nat_OSuc,hAPP(v_G,esk3_0)),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_110])]),c_0_109]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW329+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.12 % Command : run_E %s %d SAT
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 04:58:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.47/1.67 Running first-order model finding
% 1.47/1.67 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.2dfKr6ZpfL/E---3.1_10123.p
% 5.95/3.00 # Version: 3.2.0
% 5.95/3.00 # Preprocessing class: FMLMSMSMSSSNFFN.
% 5.95/3.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.95/3.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.95/3.00 # Starting new_bool_3 with 300s (1) cores
% 5.95/3.00 # Starting new_bool_1 with 300s (1) cores
% 5.95/3.00 # Starting sh5l with 300s (1) cores
% 5.95/3.00 # new_bool_3 with pid 10201 completed with status 0
% 5.95/3.00 # Result found by new_bool_3
% 5.95/3.00 # Preprocessing class: FMLMSMSMSSSNFFN.
% 5.95/3.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.95/3.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.95/3.00 # Starting new_bool_3 with 300s (1) cores
% 5.95/3.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.95/3.00 # Search class: FGHSM-SMLM33-DFFFFFNN
% 5.95/3.00 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.95/3.00 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 5.95/3.00 # SAT001_MinMin_p005000_rr with pid 10204 completed with status 0
% 5.95/3.00 # Result found by SAT001_MinMin_p005000_rr
% 5.95/3.00 # Preprocessing class: FMLMSMSMSSSNFFN.
% 5.95/3.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.95/3.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.95/3.00 # Starting new_bool_3 with 300s (1) cores
% 5.95/3.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.95/3.00 # Search class: FGHSM-SMLM33-DFFFFFNN
% 5.95/3.00 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.95/3.00 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 5.95/3.00 # Preprocessing time : 0.045 s
% 5.95/3.00 # Presaturation interreduction done
% 5.95/3.00
% 5.95/3.00 # Proof found!
% 5.95/3.00 # SZS status Theorem
% 5.95/3.00 # SZS output start CNFRefutation
% See solution above
% 5.95/3.00 # Parsed axioms : 5225
% 5.95/3.00 # Removed by relevancy pruning/SinE : 3761
% 5.95/3.00 # Initial clauses : 2234
% 5.95/3.00 # Removed in clause preprocessing : 70
% 5.95/3.00 # Initial clauses in saturation : 2164
% 5.95/3.00 # Processed clauses : 4388
% 5.95/3.00 # ...of these trivial : 188
% 5.95/3.00 # ...subsumed : 1429
% 5.95/3.00 # ...remaining for further processing : 2771
% 5.95/3.00 # Other redundant clauses eliminated : 1050
% 5.95/3.00 # Clauses deleted for lack of memory : 0
% 5.95/3.00 # Backward-subsumed : 32
% 5.95/3.00 # Backward-rewritten : 204
% 5.95/3.00 # Generated clauses : 31096
% 5.95/3.00 # ...of the previous two non-redundant : 27866
% 5.95/3.00 # ...aggressively subsumed : 0
% 5.95/3.00 # Contextual simplify-reflections : 10
% 5.95/3.00 # Paramodulations : 30036
% 5.95/3.00 # Factorizations : 10
% 5.95/3.00 # NegExts : 0
% 5.95/3.00 # Equation resolutions : 1074
% 5.95/3.00 # Disequality decompositions : 0
% 5.95/3.00 # Total rewrite steps : 7631
% 5.95/3.00 # ...of those cached : 5762
% 5.95/3.00 # Propositional unsat checks : 0
% 5.95/3.00 # Propositional check models : 0
% 5.95/3.00 # Propositional check unsatisfiable : 0
% 5.95/3.00 # Propositional clauses : 0
% 5.95/3.00 # Propositional clauses after purity: 0
% 5.95/3.00 # Propositional unsat core size : 0
% 5.95/3.00 # Propositional preprocessing time : 0.000
% 5.95/3.00 # Propositional encoding time : 0.000
% 5.95/3.00 # Propositional solver time : 0.000
% 5.95/3.00 # Success case prop preproc time : 0.000
% 5.95/3.00 # Success case prop encoding time : 0.000
% 5.95/3.00 # Success case prop solver time : 0.000
% 5.95/3.00 # Current number of processed clauses : 787
% 5.95/3.00 # Positive orientable unit clauses : 342
% 5.95/3.00 # Positive unorientable unit clauses: 1
% 5.95/3.00 # Negative unit clauses : 112
% 5.95/3.00 # Non-unit-clauses : 332
% 5.95/3.00 # Current number of unprocessed clauses: 22726
% 5.95/3.00 # ...number of literals in the above : 52957
% 5.95/3.00 # Current number of archived formulas : 0
% 5.95/3.00 # Current number of archived clauses : 1815
% 5.95/3.00 # Clause-clause subsumption calls (NU) : 231449
% 5.95/3.00 # Rec. Clause-clause subsumption calls : 130933
% 5.95/3.00 # Non-unit clause-clause subsumptions : 956
% 5.95/3.00 # Unit Clause-clause subsumption calls : 2751
% 5.95/3.00 # Rewrite failures with RHS unbound : 168
% 5.95/3.00 # BW rewrite match attempts : 7076
% 5.95/3.00 # BW rewrite match successes : 351
% 5.95/3.00 # Condensation attempts : 0
% 5.95/3.00 # Condensation successes : 0
% 5.95/3.00 # Termbank termtop insertions : 824516
% 5.95/3.00 # Search garbage collected termcells : 64597
% 5.95/3.00
% 5.95/3.00 # -------------------------------------------------
% 5.95/3.00 # User time : 1.004 s
% 5.95/3.00 # System time : 0.038 s
% 5.95/3.00 # Total time : 1.042 s
% 5.95/3.00 # Maximum resident set size: 16624 pages
% 5.95/3.00
% 5.95/3.00 # -------------------------------------------------
% 5.95/3.00 # User time : 1.251 s
% 5.95/3.00 # System time : 0.047 s
% 5.95/3.00 # Total time : 1.298 s
% 5.95/3.00 # Maximum resident set size: 9556 pages
% 5.95/3.00 % E---3.1 exiting
% 5.95/3.00 % E exiting
%------------------------------------------------------------------------------