TSTP Solution File: SWV857-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV857-1 : 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 : n011.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 21:48:25 EDT 2023
% Result : Unsatisfiable 0.73s 0.78s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 76
% Syntax : Number of formulae : 88 ( 9 unt; 69 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 135 ( 62 >; 73 *; 0 +; 0 <<)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 7 con; 0-5 aty)
% Number of variables : 24 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_bool: $i ).
tff(decl_23,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_24,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
c_Fun_Oid: $i > $i ).
tff(decl_28,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_29,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_30,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_31,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_in: $i > $i ).
tff(decl_34,type,
hBOOL: $i > $o ).
tff(decl_35,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_37,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_39,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_43,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_44,type,
c_SetInterval_Oord__class_OatLeast: ( $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,
c_SetInterval_Oord__class_OatMost: ( $i * $i ) > $i ).
tff(decl_48,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_49,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_50,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_51,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
c_SetInterval_Oord__class_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_54,type,
class_HOL_Ominus: $i > $o ).
tff(decl_55,type,
t_a: $i ).
tff(decl_56,type,
v_x: $i ).
tff(decl_57,type,
class_HOL_Oord: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_59,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_61,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_62,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_63,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_64,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_65,type,
c_Complete__Lattice_Ocomplete__lattice__class_OINFI: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_67,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_68,type,
class_Orderings_Obot: $i > $o ).
tff(decl_69,type,
c_Suc: $i > $i ).
tff(decl_70,type,
c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).
tff(decl_71,type,
c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_73,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
c_Fun_Ofcomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_76,type,
c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_78,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__1: ( $i * $i ) > $i ).
tff(decl_79,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1: ( $i * $i ) > $i ).
tff(decl_81,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__2: ( $i * $i ) > $i ).
tff(decl_82,type,
c_ATP__Linkup_Osko__Set__XsubsetI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
v_tsa: $i ).
tff(decl_87,type,
v_Ga: $i ).
tff(decl_88,type,
v_xa: $i ).
tff(decl_89,type,
tc_nat: $i ).
tff(decl_90,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_conjecture_3,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_7,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
cls_conjecture_3 ).
cnf(c_0_8,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1 ).
cnf(c_0_9,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
cls_conjecture_2 ).
cnf(c_0_10,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
| ~ hBOOL(hAPP(v_Ga,X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_rev__predicate1D_0 ).
cnf(c_0_12,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
cls_conjecture_0 ).
cnf(c_0_13,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
cls_mem__def_0 ).
cnf(c_0_14,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
cls_conjecture_1 ).
cnf(c_0_15,negated_conjecture,
~ hBOOL(hAPP(v_Ga,v_xa)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( hBOOL(hAPP(v_Ga,X1))
| ~ hBOOL(hAPP(v_tsa,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
hBOOL(hAPP(v_tsa,v_xa)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 07:07:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.73/0.78 % Version : CSE_E---1.5
% 0.73/0.78 % Problem : theBenchmark.p
% 0.73/0.78 % Proof found
% 0.73/0.78 % SZS status Theorem for theBenchmark.p
% 0.73/0.78 % SZS output start Proof
% See solution above
% 0.73/0.78 % Total time : 0.179000 s
% 0.73/0.78 % SZS output end Proof
% 0.73/0.78 % Total time : 0.201000 s
%------------------------------------------------------------------------------