TSTP Solution File: SWV843-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV843-1 : 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 : n017.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 21:48:22 EDT 2023
% Result : Unsatisfiable 1.20s 1.37s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 135
% Syntax : Number of formulae : 148 ( 9 unt; 128 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 238 ( 111 >; 127 *; 0 +; 0 <<)
% Number of predicates : 51 ( 50 usr; 1 prp; 0-6 aty)
% Number of functors : 78 ( 78 usr; 17 con; 0-6 aty)
% Number of variables : 27 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_23,type,
c_lessequals: $i > $i ).
tff(decl_24,type,
c_Orderings_Oord__class_Omin: $i > $i ).
tff(decl_25,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_26,type,
hBOOL: $i > $o ).
tff(decl_27,type,
c_Lattices_Olower__semilattice: ( $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
c_Suc: $i > $i ).
tff(decl_29,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_30,type,
c_HOL_Oord__class_Oless: $i > $i ).
tff(decl_31,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_32,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(decl_33,type,
c_HOL_Ominus__class_Ominus: $i > $i ).
tff(decl_34,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_35,type,
tc_bool: $i ).
tff(decl_36,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_37,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(decl_38,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_39,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_40,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
tff(decl_41,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Orderings_Oord__class_Omax: $i > $i ).
tff(decl_43,type,
c_OrderedGroup_Oab__semigroup__idem__mult: ( $i * $i ) > $o ).
tff(decl_44,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_46,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_47,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_48,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_49,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_50,type,
tc_nat: $i ).
tff(decl_51,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_52,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(decl_53,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_54,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_55,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_56,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_57,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_60,type,
class_HOL_Oord: $i > $o ).
tff(decl_61,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_62,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_64,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_65,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_66,type,
c_Finite__Set_Ofold__image: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
c_Finite__Set_Ofold: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_70,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_71,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_72,type,
c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_74,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_75,type,
class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).
tff(decl_76,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_77,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_78,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_79,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_80,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_82,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_83,type,
t_a: $i ).
tff(decl_84,type,
v_x: $i ).
tff(decl_85,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_86,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_87,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_88,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_90,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_91,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_93,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_94,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Finite__Set_Ofold1: ( $i * $i ) > $i ).
tff(decl_96,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_97,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_100,type,
c_Finite__Set_Olinorder__class_OMax: $i > $i ).
tff(decl_101,type,
c_Finite__Set_Olinorder__class_OMin: $i > $i ).
tff(decl_102,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_103,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_104,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).
tff(decl_108,type,
v_P: $i ).
tff(decl_109,type,
t_b: $i ).
tff(decl_110,type,
t_c: $i ).
tff(decl_111,type,
v_Q: $i ).
tff(decl_112,type,
v_R: $i ).
tff(decl_113,type,
class_HOL_Ominus: $i > $o ).
tff(decl_114,type,
c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).
tff(decl_115,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_116,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_117,type,
tc_Com_Ostate: $i ).
tff(decl_118,type,
c_fequal: $i > $i ).
tff(decl_119,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_120,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_123,type,
c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_126,type,
class_Orderings_Obot: $i > $o ).
tff(decl_127,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(decl_128,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_129,type,
class_Orderings_Otop: $i > $o ).
tff(decl_130,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_131,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_132,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_133,type,
v_sko__Hoare__Mirabelle__Xconseq12__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_134,type,
v_sko__Hoare__Mirabelle__Xconseq12__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_135,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_136,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_137,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_138,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_139,type,
v_sko__Hoare__Mirabelle__Xconseq2__1: ( $i * $i ) > $i ).
tff(decl_140,type,
v_sko__Hoare__Mirabelle__Xconseq2__2: ( $i * $i ) > $i ).
tff(decl_141,type,
v_sko__Hoare__Mirabelle__Xconseq12__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_142,type,
v_sko__Hoare__Mirabelle__Xconseq1__1: ( $i * $i ) > $i ).
tff(decl_143,type,
v_sko__Hoare__Mirabelle__Xconseq1__2: ( $i * $i ) > $i ).
tff(decl_144,type,
v_F: $i ).
tff(decl_145,type,
v_G: $i ).
tff(decl_146,type,
v_P_H: $i ).
tff(decl_147,type,
v_c0: $i ).
tff(decl_148,type,
v_Q_H: $i ).
tff(decl_149,type,
tc_Com_Ocom: $i ).
cnf(cls_derivs__insertD_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_derivs__insertD_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_hoare__derivs_Oinsert_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__derivs_Oinsert_0) ).
cnf(cls_derivs__insertD_1,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_derivs__insertD_1) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_0_7,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
cls_derivs__insertD_0 ).
cnf(c_0_8,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
cls_conjecture_2 ).
cnf(c_0_9,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
cls_conjecture_4 ).
cnf(c_0_10,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
cls_hoare__derivs_Oinsert_0 ).
cnf(c_0_12,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
cls_derivs__insertD_1 ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
cls_conjecture_3 ).
cnf(c_0_15,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),X1,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,X1,t_b) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
cls_conjecture_5 ).
cnf(c_0_17,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_18,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV843-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:18:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 1.20/1.37 % Version : CSE_E---1.5
% 1.20/1.37 % Problem : theBenchmark.p
% 1.20/1.37 % Proof found
% 1.20/1.37 % SZS status Theorem for theBenchmark.p
% 1.20/1.37 % SZS output start Proof
% See solution above
% 1.20/1.37 % Total time : 0.750000 s
% 1.20/1.37 % SZS output end Proof
% 1.20/1.37 % Total time : 0.786000 s
%------------------------------------------------------------------------------