TSTP Solution File: SCT080-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT080-1 : 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 : n014.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 14:11:07 EDT 2023
% Result : Unsatisfiable 0.83s 0.93s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 117
% Syntax : Number of formulae : 135 ( 16 unt; 108 typ; 0 def)
% Number of atoms : 40 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 309 ( 99 >; 210 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-9 aty)
% Number of functors : 84 ( 84 usr; 9 con; 0-6 aty)
% Number of variables : 47 ( 12 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_23,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
class_Lattices_Olattice: $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 * $i ) > $i ).
tff(decl_29,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_30,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_33,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_34,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_39,type,
hBOOL: $i > $o ).
tff(decl_40,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_42,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_44,type,
class_Orderings_Otop: $i > $o ).
tff(decl_45,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_46,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_48,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_49,type,
c_Inductive_Ocomplete__lattice__class_Olfp: ( $i * $i ) > $i ).
tff(decl_50,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_53,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_54,type,
c_in: $i > $i ).
tff(decl_55,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_57,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_60,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_61,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Set_OPow: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
class_Orderings_Obot: $i > $o ).
tff(decl_65,type,
c_Fun_Obij__betw: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_66,type,
class_HOL_Oord: $i > $o ).
tff(decl_67,type,
c_FuncSet_Ocompose: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
c_FuncSet_Orestrict: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
c_ATP__Linkup_Osko__Set__Xbex__Un__1__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
c_fequal: $i > $i ).
tff(decl_71,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_72,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
tc_nat: $i ).
tff(decl_74,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
c_FuncSet_Osko__FuncSet__XrestrictI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
c_COMBI: $i > $i ).
tff(decl_81,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_82,type,
v_F: $i ).
tff(decl_83,type,
v_sko__local__X1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(decl_85,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
tff(decl_86,type,
v_sko__local__X2__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
v_sko__local__Xpairwise__neutrality__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
v_sko__local__X3__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
v_sko__local__X4__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
v_sko__Arrow__Order__Mirabelle__XIIA__def__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Arrow__Order__Mirabelle_OIIA: $i > $o ).
tff(decl_92,type,
v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_Arrow__Order__Mirabelle_Ounanimity: $i > $o ).
tff(decl_94,type,
c_List_Osko__Equiv__Relations__XquotientE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(decl_96,type,
c_Product__Type_OSigma: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_FuncSet_Oextensional: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_101,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_102,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(decl_103,type,
v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1: ( $i * $i ) > $i ).
tff(decl_104,type,
c_Arrow__Order__Mirabelle_Oabove: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_106,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
c_ATP__Linkup_Osko__Set__XbexCI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
c_SetInterval_Oord_OatLeastLessThan: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
c_SetInterval_Oord_OgreaterThanLessThan: ( $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_ATP__Linkup_Osko__Set__XbexI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
c_ATP__Linkup_Osko__Set__XbexE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
c_HOL_Oundefined: $i > $i ).
tff(decl_116,type,
c_FuncSet_Osko__FuncSet__XextensionalityI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_117,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_118,type,
c_Record_Oiso__tuple__update__accessor__cong__assist: ( $i * $i * $i * $i ) > $o ).
tff(decl_119,type,
c_ATP__Linkup_Osko__Set__XballE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
c_SetInterval_Oord_OatMost: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
c_SetInterval_Oord_OgreaterThan: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
c_FuncSet_Osko__FuncSet__XPi__I__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
c_FuncSet_Osko__FuncSet__XPi__I_H__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_126,type,
c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_127,type,
c_FuncSet_Osko__FuncSet__XfuncsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_128,type,
v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1: $i ).
tff(decl_129,type,
v_Lba____: $i ).
cnf(cls_CollectD_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectD_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_CollectI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectI_0) ).
cnf(cls_CHAINED_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_const__Lin__Prof_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_const__Lin__Prof_0) ).
cnf(cls_PiE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X3,X6,X1,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PiE_0) ).
cnf(cls_CHAINED_0_01,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_9,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
cls_CollectD_0 ).
cnf(c_0_10,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_11,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_CollectI_0 ).
cnf(c_0_12,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
cls_CHAINED_0 ).
cnf(c_0_14,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_Lba____)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
cls_const__Lin__Prof_0 ).
cnf(c_0_17,plain,
hBOOL(hAPP(hAPP(c_in(X1),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X3,X6,X1,X4))) ),
cls_PiE_0 ).
cnf(c_0_20,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
cls_CHAINED_0_01 ).
cnf(c_0_21,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0 ).
cnf(c_0_22,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,plain,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,X1)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X1),c_Arrow__Order__Mirabelle_OProf)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_24,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)),
cls_conjecture_0 ).
cnf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT080-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 24 16:12:18 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.56 start to proof: theBenchmark
% 0.83/0.93 % Version : CSE_E---1.5
% 0.83/0.93 % Problem : theBenchmark.p
% 0.83/0.93 % Proof found
% 0.83/0.93 % SZS status Theorem for theBenchmark.p
% 0.83/0.93 % SZS output start Proof
% See solution above
% 0.83/0.93 % Total time : 0.339000 s
% 0.83/0.93 % SZS output end Proof
% 0.83/0.93 % Total time : 0.361000 s
%------------------------------------------------------------------------------