TSTP Solution File: SWW346+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW346+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n026.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 18:14:16 EDT 2024
% Result : ContradictoryAxioms 10.34s 3.84s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 31
% Syntax : Number of formulae : 151 ( 106 unt; 0 def)
% Number of atoms : 216 ( 135 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 126 ( 61 ~; 50 |; 8 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 9 con; 0-3 aty)
% Number of variables : 218 ( 38 sgn 112 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__neg__eq,axiom,
! [X24,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X24)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X24)),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_Collect__neg__eq) ).
fof(fact_Collect__def,axiom,
! [X24,X5] : hAPP(c_Set_OCollect(X5),X24) = X24,
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_Collect__def) ).
fof(fact_Compl__empty__eq,axiom,
! [X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_Compl__empty__eq) ).
fof(fact_Collect__empty__eq,axiom,
! [X24,X5] :
( hAPP(c_Set_OCollect(X5),X24) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X24,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_Collect__empty__eq) ).
fof(help_c__COMBB__1,axiom,
! [X35,X23,X24,X80,X5,X18] : hAPP(hAPP(hAPP(c_COMBB(X18,X5,X80),X24),X23),X35) = hAPP(X24,hAPP(X23,X35)),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',help_c__COMBB__1) ).
fof(fact_top1I,axiom,
! [X17,X5] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),X17)),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_top1I) ).
fof(fact_bex__UNIV,axiom,
! [X24,X5] :
( ? [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))))
& hBOOL(hAPP(X24,X3)) )
<=> ? [X123] : hBOOL(hAPP(X24,X123)) ),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_bex__UNIV) ).
fof(help_c__fNot__1,axiom,
! [X24] :
( ~ hBOOL(hAPP(c_fNot,X24))
| ~ hBOOL(X24) ),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',help_c__fNot__1) ).
fof(help_c__COMBK__1,axiom,
! [X320,X319,X18,X5] : hAPP(hAPP(c_COMBK(X5,X18),X319),X320) = X319,
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',help_c__COMBK__1) ).
fof(fact_vimage__Collect__eq,axiom,
! [X24,X2,X18,X5] : hAPP(c_Set_Ovimage(X5,X18,X2),hAPP(c_Set_OCollect(X18),X24)) = hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(X18,tc_HOL_Obool,X5),X24),X2)),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_vimage__Collect__eq) ).
fof(fact_vimage__id,axiom,
! [X20,X5] : hAPP(c_Set_Ovimage(X5,X5,c_Fun_Oid(X5)),X20) = X20,
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_vimage__id) ).
fof(fact_mult__Pls,axiom,
! [X176] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),X176) = c_Int_OPls,
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_mult__Pls) ).
fof(fact_rel__simps_I39_J,axiom,
! [X133] : c_Int_OPls != c_Int_OBit1(X133),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_rel__simps_I39_J) ).
fof(fact_filter__id__conv,axiom,
! [X259,X24,X5] :
( hAPP(c_List_Ofilter(X5,X24),X259) = X259
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),hAPP(c_List_Oset(X5),X259)))
=> hBOOL(hAPP(X24,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_filter__id__conv) ).
fof(fact_double__complement,axiom,
! [X20,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)),X20)) = X20,
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_double__complement) ).
fof(fact_number__of__is__id,axiom,
! [X130] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X130) = X130,
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_number__of__is__id) ).
fof(fact_neg__number__of__Min,axiom,
hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_neg__number__of__Min) ).
fof(fact_list_Osimps_I2_J,axiom,
! [X273,X190,X5] : c_List_Olist_ONil(X5) != hAPP(hAPP(c_List_Olist_OCons(X5),X190),X273),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_list_Osimps_I2_J) ).
fof(fact_rel__simps_I51_J,axiom,
! [X144,X132] :
( c_Int_OBit1(X132) = c_Int_OBit1(X144)
<=> X132 = X144 ),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_rel__simps_I51_J) ).
fof(fact_not__neg__0,axiom,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_not__neg__0) ).
fof(help_c__fNot__2,axiom,
! [X24] :
( ~ ~ hBOOL(X24)
| hBOOL(hAPP(c_fNot,X24)) ),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',help_c__fNot__2) ).
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/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_one__is__num__one) ).
fof(fact_minus__Min,axiom,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_minus__Min) ).
fof(fact_mult__Min,axiom,
! [X130] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),X130) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X130),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_mult__Min) ).
fof(fact_nat__number__of__def,axiom,
! [X173] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X173) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X173)),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_nat__number__of__def) ).
fof(fact_Pls__def,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_Pls__def) ).
fof(fact_transfer__nat__int__numerals_I1_J,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_transfer__nat__int__numerals_I1_J) ).
fof(fact_rel__simps_I37_J,axiom,
c_Int_OPls != c_Int_OMin,
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_rel__simps_I37_J) ).
fof(fact_numeral__3__eq__3,axiom,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_numeral__3__eq__3) ).
fof(fact_rel__simps_I47_J,axiom,
! [X132] :
( c_Int_OBit1(X132) = c_Int_OMin
<=> X132 = c_Int_OMin ),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_rel__simps_I47_J) ).
fof(fact_transfer__int__nat__numerals_I4_J,axiom,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),
file('/export/starexec/sandbox2/tmp/tmp.MqUXJU0QZZ/E---3.1_13148.p',fact_transfer__int__nat__numerals_I4_J) ).
fof(c_0_31,plain,
! [X1844,X1845] : hAPP(c_Set_OCollect(X1845),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1845),c_fNot),X1844)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1845,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1845),X1844)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_32,plain,
! [X1992,X1993] : hAPP(c_Set_OCollect(X1993),X1992) = X1992,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_33,plain,
! [X2858] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2858,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X2858,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X2858,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_34,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_31]) ).
cnf(c_0_35,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X24,X5] :
( hAPP(c_Set_OCollect(X5),X24) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X24,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_37,plain,
! [X829,X830,X831,X832,X833,X834] : hAPP(hAPP(hAPP(c_COMBB(X834,X833,X832),X831),X830),X829) = hAPP(X831,hAPP(X830,X829)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_38,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,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_34,c_0_35]),c_0_35]) ).
fof(c_0_40,plain,
! [X2000,X2001,X2002,X2003,X2005] :
( ( hAPP(c_Set_OCollect(X2001),X2000) != c_Orderings_Obot__class_Obot(tc_fun(X2001,tc_HOL_Obool))
| ~ hBOOL(hAPP(X2000,X2002)) )
& ( hBOOL(hAPP(X2003,esk48_1(X2003)))
| hAPP(c_Set_OCollect(X2005),X2003) = c_Orderings_Obot__class_Obot(tc_fun(X2005,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_41,plain,
! [X2831,X2832] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2832,tc_HOL_Obool)),X2831)),
inference(variable_rename,[status(thm)],[fact_top1I]) ).
cnf(c_0_42,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,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_40]) ).
cnf(c_0_45,plain,
( hBOOL(hAPP(X1,esk48_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_40]) ).
fof(c_0_46,plain,
! [X2873,X2874,X2875,X2877,X2878,X2879] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X2874),X2875),c_Orderings_Otop__class_Otop(tc_fun(X2874,tc_HOL_Obool))))
| ~ hBOOL(hAPP(X2873,X2875))
| hBOOL(hAPP(X2873,esk91_1(X2873))) )
& ( hBOOL(hAPP(hAPP(c_member(X2879),esk92_2(X2877,X2879)),c_Orderings_Otop__class_Otop(tc_fun(X2879,tc_HOL_Obool))))
| ~ hBOOL(hAPP(X2877,X2878)) )
& ( hBOOL(hAPP(X2877,esk92_2(X2877,X2879)))
| ~ hBOOL(hAPP(X2877,X2878)) ) ),
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_bex__UNIV])])])])])])]) ).
cnf(c_0_47,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(c_fNot,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_49,plain,
! [X24] :
( ~ hBOOL(hAPP(c_fNot,X24))
| ~ hBOOL(X24) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_50,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_44,c_0_35])]) ).
cnf(c_0_51,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk48_1(X1))) ),
inference(rw,[status(thm)],[c_0_45,c_0_35]) ).
cnf(c_0_52,plain,
( hBOOL(hAPP(X1,esk92_2(X1,X2)))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
hBOOL(hAPP(c_fNot,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2))),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_54,plain,
! [X1859] :
( ~ hBOOL(hAPP(c_fNot,X1859))
| ~ hBOOL(X1859) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
cnf(c_0_55,plain,
( hBOOL(hAPP(X1,esk48_1(X1)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
hBOOL(hAPP(c_fNot,esk92_2(c_fNot,X1))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_57,plain,
! [X1764,X1765,X1766,X1767] : hAPP(hAPP(c_COMBK(X1767,X1766),X1765),X1764) = X1765,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
fof(c_0_58,plain,
! [X6983,X6984,X6985,X6986] : hAPP(c_Set_Ovimage(X6986,X6985,X6984),hAPP(c_Set_OCollect(X6985),X6983)) = hAPP(c_Set_OCollect(X6986),hAPP(hAPP(c_COMBB(X6985,tc_HOL_Obool,X6986),X6983),X6984)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
cnf(c_0_59,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
hBOOL(hAPP(c_fNot,esk48_1(c_fNot))),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_62,plain,
! [X7059,X7060] : hAPP(c_Set_Ovimage(X7060,X7060,c_Fun_Oid(X7060)),X7059) = X7059,
inference(variable_rename,[status(thm)],[fact_vimage__id]) ).
cnf(c_0_63,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Set_OCollect(X2),X4)) = hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_64,plain,
! [X6219] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),X6219) = c_Int_OPls,
inference(variable_rename,[status(thm)],[fact_mult__Pls]) ).
fof(c_0_65,plain,
! [X133] : c_Int_OPls != c_Int_OBit1(X133),
inference(fof_simplification,[status(thm)],[fact_rel__simps_I39_J]) ).
cnf(c_0_66,plain,
~ hBOOL(esk48_1(c_fNot)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,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_61,c_0_51]),c_0_61]) ).
fof(c_0_68,plain,
! [X5319,X5320,X5321,X5322,X5323,X5324,X5325] :
( ( hAPP(c_List_Ofilter(X5321,X5320),X5319) != X5319
| ~ hBOOL(hAPP(hAPP(c_member(X5321),X5322),hAPP(c_List_Oset(X5321),X5319)))
| hBOOL(hAPP(X5320,X5322)) )
& ( hBOOL(hAPP(hAPP(c_member(X5325),esk171_3(X5323,X5324,X5325)),hAPP(c_List_Oset(X5325),X5323)))
| hAPP(c_List_Ofilter(X5325,X5324),X5323) = X5323 )
& ( ~ hBOOL(hAPP(X5324,esk171_3(X5323,X5324,X5325)))
| hAPP(c_List_Ofilter(X5325,X5324),X5323) = X5323 ) ),
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_69,plain,
hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_35]),c_0_35]) ).
fof(c_0_71,plain,
! [X3121,X3122] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3122,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3122,tc_HOL_Obool)),X3121)) = X3121,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_72,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),X1) = c_Int_OPls,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_73,plain,
! [X6235] : c_Int_OPls != c_Int_OBit1(X6235),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_65])]) ).
cnf(c_0_74,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = esk48_1(c_fNot),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,plain,
( hAPP(c_List_Ofilter(X3,X1),X2) = X2
| ~ hBOOL(hAPP(X1,esk171_3(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,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_71]) ).
cnf(c_0_78,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls)
| hBOOL(c_Int_OPls) ),
inference(spm,[status(thm)],[c_0_51,c_0_72]) ).
cnf(c_0_79,plain,
c_Int_OPls != c_Int_OBit1(X1),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,plain,
( esk48_1(c_fNot) = X1
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_74]) ).
cnf(c_0_81,plain,
hAPP(c_List_Ofilter(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))),X3) = X3,
inference(spm,[status(thm)],[c_0_75,c_0_47]) ).
cnf(c_0_82,plain,
hAPP(X1,hAPP(c_Fun_Oid(X2),X3)) = hAPP(X1,X3),
inference(spm,[status(thm)],[c_0_42,c_0_76]) ).
cnf(c_0_83,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_77,c_0_39]),c_0_39]) ).
cnf(c_0_84,plain,
( c_Int_OPls = X1
| hBOOL(c_Int_OPls)
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_78]),c_0_72]) ).
cnf(c_0_85,plain,
( hBOOL(c_Int_OBit1(X1))
| esk48_1(c_fNot) != c_Int_OPls ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_86,plain,
! [X3322] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3322) = X3322,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
cnf(c_0_87,plain,
hAPP(c_Fun_Oid(X1),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_81]) ).
cnf(c_0_88,plain,
c_Fun_Oid(tc_HOL_Obool) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_HOL_Obool),c_fNot),c_fNot),
inference(spm,[status(thm)],[c_0_83,c_0_76]) ).
cnf(c_0_89,plain,
( hAPP(c_fNot,X1) = c_Int_OPls
| hBOOL(c_Int_OPls)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_84]) ).
cnf(c_0_90,plain,
( hBOOL(c_Int_OBit1(X1))
| hBOOL(c_Int_OPls) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80])]) ).
cnf(c_0_91,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))),
inference(split_conjunct,[status(thm)],[fact_neg__number__of__Min]) ).
cnf(c_0_92,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_93,plain,
! [X273,X190,X5] : c_List_Olist_ONil(X5) != hAPP(hAPP(c_List_Olist_OCons(X5),X190),X273),
inference(fof_simplification,[status(thm)],[fact_list_Osimps_I2_J]) ).
fof(c_0_94,plain,
! [X6408,X6409] :
( ( c_Int_OBit1(X6409) != c_Int_OBit1(X6408)
| X6409 = X6408 )
& ( X6409 != X6408
| c_Int_OBit1(X6409) = c_Int_OBit1(X6408) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I51_J])])]) ).
cnf(c_0_95,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_42]) ).
cnf(c_0_96,plain,
( hAPP(c_fNot,c_Int_OBit1(X1)) = c_Int_OPls
| hBOOL(c_Int_OPls) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,plain,
( esk48_1(c_fNot) = hAPP(c_fNot,X1)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_80]) ).
cnf(c_0_98,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
fof(c_0_99,plain,
! [X4646,X4647,X4648] : c_List_Olist_ONil(X4648) != hAPP(hAPP(c_List_Olist_OCons(X4648),X4647),X4646),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_93])]) ).
cnf(c_0_100,plain,
( X1 = X2
| c_Int_OBit1(X1) != c_Int_OBit1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_101,plain,
( c_Int_OBit1(X1) = hAPP(c_fNot,c_Int_OPls)
| hBOOL(c_Int_OPls) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,plain,
esk48_1(c_fNot) = hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
c_List_Olist_ONil(X1) != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_104,plain,
( X1 = X2
| hBOOL(c_Int_OPls) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_101]) ).
fof(c_0_105,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(fof_simplification,[status(thm)],[fact_not__neg__0]) ).
cnf(c_0_106,plain,
( hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = hAPP(c_fNot,X1)
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_97,c_0_102]) ).
cnf(c_0_107,plain,
hBOOL(c_Int_OPls),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104])]) ).
fof(c_0_108,plain,
! [X24] :
( hBOOL(X24)
| hBOOL(hAPP(c_fNot,X24)) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__2]) ).
cnf(c_0_109,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]) ).
fof(c_0_110,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(fof_nnf,[status(thm)],[c_0_105]) ).
cnf(c_0_111,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = hAPP(c_fNot,c_Int_OPls),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
fof(c_0_112,plain,
! [X1860] :
( hBOOL(X1860)
| hBOOL(hAPP(c_fNot,X1860)) ),
inference(variable_rename,[status(thm)],[c_0_108]) ).
cnf(c_0_113,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls),
inference(split_conjunct,[status(thm)],[fact_minus__Min]) ).
cnf(c_0_114,plain,
c_Int_OBit1(c_Int_OPls) = c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(rw,[status(thm)],[c_0_109,c_0_92]) ).
fof(c_0_115,plain,
! [X6840] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),X6840) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X6840),
inference(variable_rename,[status(thm)],[fact_mult__Min]) ).
fof(c_0_116,plain,
! [X3242] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X3242) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3242)),
inference(variable_rename,[status(thm)],[fact_nat__number__of__def]) ).
cnf(c_0_117,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_118,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
cnf(c_0_119,plain,
( hAPP(c_fNot,c_Int_OPls) = hAPP(c_fNot,X1)
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_106,c_0_111]) ).
cnf(c_0_120,plain,
( hBOOL(X1)
| hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_121,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(rw,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_122,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),X1) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_123,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_116]) ).
cnf(c_0_124,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]) ).
fof(c_0_125,plain,
c_Int_OPls != c_Int_OMin,
inference(fof_simplification,[status(thm)],[fact_rel__simps_I37_J]) ).
cnf(c_0_126,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)),
inference(rw,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,plain,
( hAPP(c_fNot,c_Int_OPls) = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_95]) ).
cnf(c_0_128,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
inference(split_conjunct,[status(thm)],[fact_numeral__3__eq__3]) ).
cnf(c_0_129,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),c_Int_OMin),
inference(rw,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_130,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),X1) = hAPP(c_Int_Onat,X1),
inference(rw,[status(thm)],[c_0_123,c_0_92]) ).
cnf(c_0_131,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_124,c_0_118]) ).
fof(c_0_132,plain,
! [X6832] :
( ( c_Int_OBit1(X6832) != c_Int_OMin
| X6832 = c_Int_OMin )
& ( X6832 != c_Int_OMin
| c_Int_OBit1(X6832) = c_Int_OMin ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I47_J])])]) ).
fof(c_0_133,plain,
c_Int_OPls != c_Int_OMin,
inference(fof_nnf,[status(thm)],[c_0_125]) ).
cnf(c_0_134,plain,
hAPP(c_fNot,c_Int_OPls) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_135,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),
inference(split_conjunct,[status(thm)],[fact_transfer__int__nat__numerals_I4_J]) ).
cnf(c_0_136,plain,
hAPP(c_Int_Onat,c_Int_OBit1(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),c_Int_OMin))) = hAPP(c_Nat_OSuc,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_128,c_0_114]),c_0_129]),c_0_130]),c_0_131]) ).
cnf(c_0_137,plain,
( X1 = c_Int_OMin
| c_Int_OBit1(X1) != c_Int_OMin ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_138,plain,
c_Int_OBit1(c_Int_OPls) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),c_Int_OMin),
inference(rw,[status(thm)],[c_0_114,c_0_129]) ).
cnf(c_0_139,plain,
c_Int_OPls != c_Int_OMin,
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_140,plain,
( hAPP(c_fNot,X1) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_119,c_0_134]) ).
cnf(c_0_141,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_127,c_0_134]) ).
cnf(c_0_142,plain,
c_Int_OBit1(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_114]),c_0_129]),c_0_130]),c_0_136]),c_0_114]),c_0_129]),c_0_92]) ).
cnf(c_0_143,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),c_Int_OMin) != c_Int_OMin,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_144,plain,
( hAPP(c_fNot,X1) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)
| hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) = X1 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_145,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)) = c_Int_OPls,
inference(spm,[status(thm)],[c_0_95,c_0_134]) ).
cnf(c_0_146,plain,
hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))))) != c_Int_OMin,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_142]),c_0_143]) ).
cnf(c_0_147,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) = X1
| c_Int_OPls = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_144]),c_0_145]) ).
cnf(c_0_148,plain,
hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))))) != c_Int_OPls,
inference(spm,[status(thm)],[c_0_79,c_0_142]) ).
cnf(c_0_149,plain,
hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) != c_Int_OMin,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_150,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_147])]),c_0_139]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW346+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : run_E %s %d SAT
% 0.12/0.34 % Computer : n026.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 06:30:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.39/1.58 Running first-order model finding
% 1.39/1.58 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.MqUXJU0QZZ/E---3.1_13148.p
% 10.34/3.84 # Version: 3.2.0
% 10.34/3.84 # Preprocessing class: FMLMSMSMSSSNFFN.
% 10.34/3.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.34/3.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.34/3.84 # Starting new_bool_3 with 300s (1) cores
% 10.34/3.84 # Starting new_bool_1 with 300s (1) cores
% 10.34/3.84 # Starting sh5l with 300s (1) cores
% 10.34/3.84 # new_bool_3 with pid 13328 completed with status 0
% 10.34/3.84 # Result found by new_bool_3
% 10.34/3.84 # Preprocessing class: FMLMSMSMSSSNFFN.
% 10.34/3.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.34/3.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.34/3.84 # Starting new_bool_3 with 300s (1) cores
% 10.34/3.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.34/3.84 # Search class: FGHSM-SMLM33-DFFFFFNN
% 10.34/3.84 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.34/3.84 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 10.34/3.84 # SAT001_MinMin_p005000_rr with pid 13331 completed with status 0
% 10.34/3.84 # Result found by SAT001_MinMin_p005000_rr
% 10.34/3.84 # Preprocessing class: FMLMSMSMSSSNFFN.
% 10.34/3.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.34/3.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.34/3.84 # Starting new_bool_3 with 300s (1) cores
% 10.34/3.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.34/3.84 # Search class: FGHSM-SMLM33-DFFFFFNN
% 10.34/3.84 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.34/3.84 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 10.34/3.84 # Preprocessing time : 0.077 s
% 10.34/3.84 # Presaturation interreduction done
% 10.34/3.84
% 10.34/3.84 # Proof found!
% 10.34/3.84 # SZS status ContradictoryAxioms
% 10.34/3.84 # SZS output start CNFRefutation
% See solution above
% 10.34/3.84 # Parsed axioms : 5226
% 10.34/3.84 # Removed by relevancy pruning/SinE : 3145
% 10.34/3.84 # Initial clauses : 3199
% 10.34/3.84 # Removed in clause preprocessing : 87
% 10.34/3.84 # Initial clauses in saturation : 3112
% 10.34/3.84 # Processed clauses : 6066
% 10.34/3.84 # ...of these trivial : 217
% 10.34/3.84 # ...subsumed : 1879
% 10.34/3.84 # ...remaining for further processing : 3970
% 10.34/3.84 # Other redundant clauses eliminated : 1197
% 10.34/3.84 # Clauses deleted for lack of memory : 0
% 10.34/3.84 # Backward-subsumed : 58
% 10.34/3.84 # Backward-rewritten : 364
% 10.34/3.84 # Generated clauses : 43323
% 10.34/3.84 # ...of the previous two non-redundant : 40275
% 10.34/3.84 # ...aggressively subsumed : 0
% 10.34/3.84 # Contextual simplify-reflections : 17
% 10.34/3.84 # Paramodulations : 42120
% 10.34/3.84 # Factorizations : 4
% 10.34/3.84 # NegExts : 0
% 10.34/3.84 # Equation resolutions : 1226
% 10.34/3.84 # Disequality decompositions : 0
% 10.34/3.84 # Total rewrite steps : 10791
% 10.34/3.84 # ...of those cached : 8248
% 10.34/3.84 # Propositional unsat checks : 0
% 10.34/3.84 # Propositional check models : 0
% 10.34/3.84 # Propositional check unsatisfiable : 0
% 10.34/3.84 # Propositional clauses : 0
% 10.34/3.84 # Propositional clauses after purity: 0
% 10.34/3.84 # Propositional unsat core size : 0
% 10.34/3.84 # Propositional preprocessing time : 0.000
% 10.34/3.84 # Propositional encoding time : 0.000
% 10.34/3.84 # Propositional solver time : 0.000
% 10.34/3.84 # Success case prop preproc time : 0.000
% 10.34/3.84 # Success case prop encoding time : 0.000
% 10.34/3.84 # Success case prop solver time : 0.000
% 10.34/3.84 # Current number of processed clauses : 974
% 10.34/3.84 # Positive orientable unit clauses : 463
% 10.34/3.84 # Positive unorientable unit clauses: 6
% 10.34/3.84 # Negative unit clauses : 183
% 10.34/3.84 # Non-unit-clauses : 322
% 10.34/3.84 # Current number of unprocessed clauses: 32931
% 10.34/3.84 # ...number of literals in the above : 70148
% 10.34/3.84 # Current number of archived formulas : 0
% 10.34/3.84 # Current number of archived clauses : 2780
% 10.34/3.84 # Clause-clause subsumption calls (NU) : 394445
% 10.34/3.84 # Rec. Clause-clause subsumption calls : 200222
% 10.34/3.84 # Non-unit clause-clause subsumptions : 954
% 10.34/3.84 # Unit Clause-clause subsumption calls : 9533
% 10.34/3.84 # Rewrite failures with RHS unbound : 236
% 10.34/3.84 # BW rewrite match attempts : 11024
% 10.34/3.84 # BW rewrite match successes : 552
% 10.34/3.84 # Condensation attempts : 0
% 10.34/3.84 # Condensation successes : 0
% 10.34/3.84 # Termbank termtop insertions : 1080792
% 10.34/3.84 # Search garbage collected termcells : 70935
% 10.34/3.84
% 10.34/3.84 # -------------------------------------------------
% 10.34/3.84 # User time : 1.852 s
% 10.34/3.84 # System time : 0.072 s
% 10.34/3.84 # Total time : 1.924 s
% 10.34/3.84 # Maximum resident set size: 18488 pages
% 10.34/3.84
% 10.34/3.84 # -------------------------------------------------
% 10.34/3.84 # User time : 2.095 s
% 10.34/3.84 # System time : 0.086 s
% 10.34/3.84 # Total time : 2.181 s
% 10.34/3.84 # Maximum resident set size: 9552 pages
% 10.34/3.84 % E---3.1 exiting
% 10.34/3.85 % E exiting
%------------------------------------------------------------------------------