TSTP Solution File: SWV877-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV877-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Thu Aug 31 21:48:29 EDT 2023
% Result : Unsatisfiable 9.51s 9.58s
% Output : CNFRefutation 9.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 112
% Syntax : Number of formulae : 163 ( 33 unt; 86 typ; 0 def)
% Number of atoms : 137 ( 32 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 122 ( 62 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 163 ( 75 >; 88 *; 0 +; 0 <<)
% Number of predicates : 38 ( 36 usr; 1 prp; 0-6 aty)
% Number of functors : 50 ( 50 usr; 11 con; 0-5 aty)
% Number of variables : 116 ( 19 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_nat: $i ).
tff(decl_23,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
c_Suc: $i > $i ).
tff(decl_25,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
tc_bool: $i ).
tff(decl_27,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
tff(decl_29,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_30,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_31,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_32,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_34,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_35,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_36,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_37,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_38,type,
c_Orderings_Oord__class_Omin: $i > $i ).
tff(decl_39,type,
c_Finite__Set_Ofold1: ( $i * $i ) > $i ).
tff(decl_40,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_41,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_42,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_43,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(decl_44,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_45,type,
c_Orderings_Oord__class_Omax: $i > $i ).
tff(decl_46,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_48,type,
c_Finite__Set_Olinorder__class_OMax: $i > $i ).
tff(decl_49,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_50,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_51,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_52,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_53,type,
c_Finite__Set_Olinorder__class_OMin: $i > $i ).
tff(decl_54,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
hBOOL: $i > $o ).
tff(decl_56,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_59,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_61,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_62,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_65,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_67,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_73,type,
class_HOL_Oord: $i > $o ).
tff(decl_74,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_76,type,
c_Finite__Set_Osetprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
class_Orderings_Otop: $i > $o ).
tff(decl_81,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_82,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_83,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
c_Com_Obody: $i ).
tff(decl_85,type,
tc_Com_Opname: $i ).
tff(decl_86,type,
tc_Com_Ocom: $i ).
tff(decl_87,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_92,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(decl_93,type,
v_wt: $i > $o ).
tff(decl_94,type,
v_U: $i ).
tff(decl_95,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_96,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
v_P: $i ).
tff(decl_100,type,
v_mgt__call: $i ).
tff(decl_101,type,
t_a: $i ).
tff(decl_102,type,
v_mgt: $i > $i ).
tff(decl_103,type,
v_sko__local__Xassms__3__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
class_Orderings_Obot: $i > $o ).
tff(decl_105,type,
v_G: $i ).
tff(decl_106,type,
v_c: $i ).
tff(decl_107,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_bot__least_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
cnf(cls_le__0__eq_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__0__eq_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_insert__image_0,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_assms_I3_J_0,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
| ~ v_wt(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_0) ).
cnf(cls_conjecture_3,negated_conjecture,
v_wt(v_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_card__gt__0__iff_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__gt__0__iff_2) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Finite__Set_Ocard(v_G,t_a) = c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_diff__is__0__eq_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__is__0__eq_0) ).
cnf(cls_minus__nat_Odiff__0_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(cls_card__eq__0__iff_2,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__0__iff_2) ).
cnf(cls_finite__imageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_card__seteq_0,axiom,
( X1 = X2
| ~ c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__seteq_0) ).
cnf(cls_le__refl_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__refl_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_assms_I3_J_1,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_1) ).
cnf(cls_assms_I1_J_0,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(c_0_26,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0 ).
cnf(c_0_27,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot ).
cnf(c_0_28,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
cls_le__0__eq_0 ).
cnf(c_0_29,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_nat),X1,tc_nat),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_insert__not__empty_0 ).
cnf(c_0_31,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ c_in(X2,X3,X4) ),
cls_insert__image_0 ).
cnf(c_0_32,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
cls_conjecture_4 ).
cnf(c_0_33,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
| ~ v_wt(X2) ),
cls_assms_I3_J_0 ).
cnf(c_0_34,negated_conjecture,
v_wt(v_c),
cls_conjecture_3 ).
cnf(c_0_35,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X2) ),
cls_card__gt__0__iff_2 ).
cnf(c_0_36,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Orderings_Obot__class_Obot(tc_nat),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_in(X5,X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_39,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
c_Finite__Set_Ocard(v_G,t_a) = c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
cls_conjecture_2 ).
cnf(c_0_41,negated_conjecture,
c_Set_Oimage(X1,v_U,tc_Com_Opname,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_diff__is__0__eq_0 ).
cnf(c_0_43,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
cls_minus__nat_Odiff__0_0 ).
cnf(c_0_44,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_less__le__not__le_1 ).
cnf(c_0_45,negated_conjecture,
( c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_nat),c_Finite__Set_Ocard(v_G,t_a),tc_nat)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_46,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder ).
cnf(c_0_47,plain,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_Orderings_Obot__class_Obot(tc_nat) ),
inference(rw,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_48,plain,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_nat),tc_nat) = X1,
inference(rw,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_49,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Finite__Set_Ofinite(X1,X2) ),
cls_card__eq__0__iff_2 ).
cnf(c_0_50,negated_conjecture,
( ~ c_lessequals(c_Finite__Set_Ocard(v_G,t_a),c_Orderings_Obot__class_Obot(tc_nat),tc_nat)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_51,plain,
( c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_nat),tc_nat)
| X1 != c_Orderings_Obot__class_Obot(tc_nat) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_40,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( c_Finite__Set_Ocard(v_G,t_a) != c_Orderings_Obot__class_Obot(tc_nat)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__imageI_0 ).
cnf(c_0_55,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
cls_conjecture_0 ).
cnf(c_0_56,negated_conjecture,
( c_Finite__Set_Ocard(v_G,t_a) = c_Orderings_Obot__class_Obot(tc_nat)
| c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
inference(rw,[status(thm)],[c_0_52,c_0_36]) ).
cnf(c_0_57,negated_conjecture,
c_Finite__Set_Ocard(v_G,t_a) != c_Orderings_Obot__class_Obot(tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_58,axiom,
( X1 = X2
| ~ c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__seteq_0 ).
cnf(c_0_59,negated_conjecture,
c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
inference(sr,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( X1 = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)
| ~ c_lessequals(X1,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| ~ c_lessequals(c_Finite__Set_Ocard(v_G,t_a),c_Finite__Set_Ocard(X1,t_a),tc_nat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_59])]) ).
cnf(c_0_61,axiom,
c_lessequals(X1,X1,tc_nat),
cls_le__refl_0 ).
cnf(c_0_62,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
cls_conjecture_1 ).
cnf(c_0_63,negated_conjecture,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_64,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0 ).
cnf(c_0_65,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X2) ),
cls_assms_I3_J_1 ).
cnf(c_0_66,axiom,
( hBOOL(hAPP(hAPP(v_P,X1),X2))
| ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
cls_assms_I1_J_0 ).
cnf(c_0_67,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
cls_insert__mono_0 ).
cnf(c_0_68,negated_conjecture,
( c_Set_Oinsert(hAPP(v_mgt__call,X1),v_G,t_a) = v_G
| ~ c_in(X1,v_U,tc_Com_Opname) ),
inference(spm,[status(thm)],[c_0_31,c_0_63]) ).
cnf(c_0_69,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_70,negated_conjecture,
hBOOL(hAPP(v_U,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call))),
inference(spm,[status(thm)],[c_0_64,c_0_38]) ).
cnf(c_0_71,plain,
( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X2)
| ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,tc_fun(t_a,tc_bool)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,negated_conjecture,
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,X1),X2,t_a),v_G,tc_fun(t_a,tc_bool))
| ~ c_lessequals(X2,v_G,tc_fun(t_a,tc_bool))
| ~ c_in(X1,v_U,tc_Com_Opname) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0 ).
cnf(c_0_74,negated_conjecture,
c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,X1),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ v_wt(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_75]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV877-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 07:56:58 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.48/0.56 start to proof: theBenchmark
% 9.51/9.58 % Version : CSE_E---1.5
% 9.51/9.58 % Problem : theBenchmark.p
% 9.51/9.58 % Proof found
% 9.51/9.58 % SZS status Theorem for theBenchmark.p
% 9.51/9.58 % SZS output start Proof
% See solution above
% 9.51/9.59 % Total time : 8.992000 s
% 9.51/9.59 % SZS output end Proof
% 9.51/9.59 % Total time : 9.016000 s
%------------------------------------------------------------------------------