TSTP Solution File: SCT027-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 14:10:48 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 96
% Syntax : Number of formulae : 101 ( 6 unt; 93 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 248 ( 85 >; 163 *; 0 +; 0 <<)
% Number of predicates : 28 ( 27 usr; 2 prp; 0-9 aty)
% Number of functors : 66 ( 66 usr; 7 con; 0-5 aty)
% Number of variables : 3 ( 3 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_23,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
tc_bool: $i ).
tff(decl_28,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_29,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_31,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_32,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_33,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_34,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_35,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_37,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_39,type,
class_HOL_Oord: $i > $o ).
tff(decl_40,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_42,type,
hBOOL: $i > $o ).
tff(decl_43,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_45,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
class_Orderings_Obot: $i > $o ).
tff(decl_47,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(decl_48,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_49,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_51,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_52,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
c_in: $i > $i ).
tff(decl_54,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_56,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
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,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_61,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_62,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Not: $i ).
tff(decl_64,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_65,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Set_OPow: ( $i * $i ) > $i ).
tff(decl_67,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_70,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
c_ATP__Linkup_Osko__Set__Xbex__Un__1__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
c_fequal: $i > $i ).
tff(decl_73,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_76,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(decl_77,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
c_Typedef_Otype__definition: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_80,type,
c_List_Osko__Equiv__Relations__XquotientE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
c_FuncSet_Osko__FuncSet__XfuncsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
tc_nat: $i ).
tff(decl_84,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_85,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(decl_86,type,
c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_88,type,
c_Arrow__Order__Mirabelle_Oabove: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_90,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
c_ATP__Linkup_Osko__Set__XbexCI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_SetInterval_Oord_OatLeastLessThan: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
c_SetInterval_Oord_OgreaterThanLessThan: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
c_SetInterval_Oord_OgreaterThanAtMost: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Set__XbexI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_FuncSet_Osko__FuncSet__XextensionalityI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_FuncSet_Oextensional: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_101,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_ATP__Linkup_Osko__Set__XbexE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_ATP__Linkup_Osko__Set__XballE__1__1: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
c_SetInterval_Oord_OatMost: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_SetInterval_Oord_OgreaterThan: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
c_FuncSet_Osko__FuncSet__XPi__I__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
c_FuncSet_Osko__FuncSet__XPi__I_H__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_HOL_Oundefined: $i > $i ).
tff(decl_112,type,
v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1: $i ).
tff(decl_113,type,
v_thesis____: $o ).
tff(decl_114,type,
v_sko__CHAINED__1: $i ).
cnf(cls_that_0,axiom,
( v_thesis____
| ~ 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/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_linear__alt_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linear__alt_0) ).
cnf(c_0_3,axiom,
( v_thesis____
| ~ 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_that_0 ).
cnf(c_0_4,negated_conjecture,
~ v_thesis____,
cls_conjecture_0 ).
cnf(c_0_5,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
cls_linear__alt_0 ).
cnf(c_0_6,plain,
~ 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)),
inference(sr,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,plain,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT027-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 24 17:09:48 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.027000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.051000 s
%------------------------------------------------------------------------------