TSTP Solution File: SWV856-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV856-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 : Tue Aug 22 11:05:48 EDT 2023
% Result : Unsatisfiable 7.17s 2.60s
% Output : CNFRefutation 7.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 83
% Syntax : Number of formulae : 86 ( 5 unt; 81 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 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 : 185 ( 75 >; 110 *; 0 +; 0 <<)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-9 aty)
% Number of functors : 49 ( 49 usr; 6 con; 0-6 aty)
% Number of variables : 4 (; 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Nitpick_Ofold__graph_H > c_Finite__Set_Ofold__graph > c_Wellfounded_Omax__extp > c_Fun_Oinj__on > c_Finite__Set_Ofold1Set > c_lessequals > c_Relation_Ototal__on > c_Hoare__Mirabelle_Otriple__valid > c_Hoare__Mirabelle_Ohoare__valids > c_Hoare__Mirabelle_Ohoare__derivs > c_HOL_Oord__class_Oless > c_OrderedGroup_Oab__semigroup__mult > c_Finite__Set_Ofinite > hBOOL > class_Ring__and__Field_Oordered__idom > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Oab__group__add > class_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice > class_HOL_Oord > class_HOL_Ominus > class_Finite__Set_Ofinite_Ofinite > class_Complete__Lattice_Ocomplete__lattice > c_Finite__Set_Ofold__image > c_Fun_Ooverride__on > c_Fun_Ofcomp > c_Fun_Ocomp > c_Finite__Set_Ofold > c_Set_Ovimage > c_Set_Oimage > c_Relation_OImage > c_Map_Orestrict__map > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_COMBC > c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1 > c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1 > c_Set_Oinsert > c_HOL_Ominus__class_Ominus > c_COMBK > c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2 > c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1 > v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 > v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 > v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 > tc_fun > hAPP > c_Finite__Set_Olinorder__class_OMin > c_Finite__Set_Olinorder__class_OMax > c_Complete__Lattice_OSup__class_OSup > c_Collect > c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1 > c_ATP__Linkup_Osko__Set__Xequals0I__1__1 > c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1 > c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2 > c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1 > #nlpp > tc_Option_Ooption > tc_Hoare__Mirabelle_Otriple > c_in > c_fequal > c_Suc > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > c_Option_Ooption_ONone > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_Fun_Oid > v_xa > v_x > v_Ga > tc_nat > tc_bool > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2,type,
c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2: ( $i * $i * $i ) > $i ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(class_HOL_Ominus,type,
class_HOL_Ominus: $i > $o ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1,type,
v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1: ( $i * $i ) > $i ).
tff(c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1: ( $i * $i * $i * $i ) > $i ).
tff(v_xa,type,
v_xa: $i ).
tff(c_Fun_Ofcomp,type,
c_Fun_Ofcomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Fun_Ocomp,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_Fun_Ooverride__on,type,
c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofold1Set,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i * $i ) > $o ).
tff(c_Finite__Set_Olinorder__class_OMin,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(c_Finite__Set_Olinorder__class_OMax,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(c_Relation_Ototal__on,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(c_Fun_Oid,type,
c_Fun_Oid: $i > $i ).
tff(t_a,type,
t_a: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
tff(c_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(c_OrderedGroup_Oab__semigroup__mult,type,
c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).
tff(c_Wellfounded_Omax__extp,type,
c_Wellfounded_Omax__extp: ( $i * $i * $i * $i ) > $o ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Set_Ovimage,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(tc_Option_Ooption,type,
tc_Option_Ooption: $i > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(c_Collect,type,
c_Collect: ( $i * $i ) > $i ).
tff(c_Finite__Set_Ofold,type,
c_Finite__Set_Ofold: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofold__graph,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
tff(c_Suc,type,
c_Suc: $i > $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Map_Orestrict__map,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(c_Hoare__Mirabelle_Ohoare__derivs,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_Hoare__Mirabelle_Otriple__valid,type,
c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1,type,
c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1: ( $i * $i ) > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(v_Ga,type,
v_Ga: $i ).
tff(c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1,type,
c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1: ( $i * $i * $i ) > $i ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__2: ( $i * $i ) > $i ).
tff(c_Relation_OImage,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_Ocomplete__lattice,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_Finite__Set_Ofold__image,type,
c_Finite__Set_Ofold__image: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_OSup__class_OSup,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(c_in,type,
c_in: $i > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_Finite__Set_Ofinite_Ofinite,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(c_Finite__Set_Ofinite,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(c_Hoare__Mirabelle_Ohoare__valids,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Set__Xequals0I__1__1,type,
c_ATP__Linkup_Osko__Set__Xequals0I__1__1: ( $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xhoare__valids__def__1,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__1: ( $i * $i ) > $i ).
tff(c_Nitpick_Ofold__graph_H,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(tc_Hoare__Mirabelle_Otriple,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1,type,
c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1: ( $i * $i ) > $i ).
tff(c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
tff(f_3231,axiom,
! [T_a,V_a] : ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
file(unknown,unknown) ).
tff(f_3257,axiom,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
file(unknown,unknown) ).
tff(c_1132,plain,
! [T_a_2188,V_a_2189] : ~ hBOOL(hAPP(hAPP(c_in(T_a_2188),V_a_2189),c_Orderings_Obot__class_Obot(tc_fun(T_a_2188,tc_bool)))),
inference(cnfTransformation,[status(thm)],[f_3231]) ).
tff(c_1146,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
inference(cnfTransformation,[status(thm)],[f_3257]) ).
tff(c_1229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1132,c_1146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV856-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 23:00:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 7.17/2.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.17/2.60
% 7.17/2.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.17/2.63
% 7.17/2.63 Inference rules
% 7.17/2.63 ----------------------
% 7.17/2.63 #Ref : 0
% 7.17/2.63 #Sup : 0
% 7.17/2.63 #Fact : 0
% 7.17/2.63 #Define : 0
% 7.17/2.63 #Split : 0
% 7.17/2.63 #Chain : 0
% 7.17/2.63 #Close : 0
% 7.17/2.63
% 7.17/2.63 Ordering : KBO
% 7.17/2.63
% 7.17/2.63 Simplification rules
% 7.17/2.63 ----------------------
% 7.17/2.63 #Subsume : 613
% 7.17/2.63 #Demod : 0
% 7.17/2.63 #Tautology : 0
% 7.17/2.63 #SimpNegUnit : 1
% 7.17/2.63 #BackRed : 0
% 7.17/2.63
% 7.17/2.63 #Partial instantiations: 0
% 7.17/2.63 #Strategies tried : 1
% 7.17/2.63
% 7.17/2.63 Timing (in seconds)
% 7.17/2.63 ----------------------
% 7.41/2.63 Preprocessing : 1.43
% 7.41/2.63 Parsing : 0.80
% 7.41/2.63 CNF conversion : 0.12
% 7.41/2.63 Main loop : 0.15
% 7.41/2.63 Inferencing : 0.00
% 7.41/2.63 Reduction : 0.07
% 7.41/2.63 Demodulation : 0.05
% 7.41/2.63 BG Simplification : 0.12
% 7.41/2.63 Subsumption : 0.05
% 7.41/2.63 Abstraction : 0.03
% 7.41/2.63 MUC search : 0.00
% 7.41/2.63 Cooper : 0.00
% 7.41/2.63 Total : 1.63
% 7.41/2.63 Index Insertion : 0.00
% 7.41/2.63 Index Deletion : 0.00
% 7.41/2.63 Index Matching : 0.00
% 7.41/2.63 BG Taut test : 0.00
%------------------------------------------------------------------------------