TSTP Solution File: SWV835-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV835-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n001.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 11:05:45 EDT 2023
% Result : Unsatisfiable 7.35s 2.61s
% Output : CNFRefutation 7.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 67
% Syntax : Number of formulae : 70 ( 5 unt; 65 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 : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 123 ( 61 >; 62 *; 0 +; 0 <<)
% Number of predicates : 29 ( 28 usr; 1 prp; 0-4 aty)
% Number of functors : 37 ( 37 usr; 4 con; 0-5 aty)
% Number of variables : 4 (; 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Fun_Oinj__on > c_fequal > c_Orderings_Obot__axioms > c_Hoare__Mirabelle_Ohoare__derivs > c_HOL_Oord__class_Oless > 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_Olordered__ab__group__add > class_OrderedGroup_Ogroup__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_Lattices_Oboolean__algebra > class_HOL_Ouminus > class_HOL_Oord > class_HOL_Ominus > class_Finite__Set_Ofinite_Ofinite > class_Complete__Lattice_Ocomplete__lattice > c_Fun_Ofcomp > c_Fun_Ocomp > c_Set_Ovimage > c_Map_Orestrict__map > c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 > c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 > c_in > c_Set_Oinsert > c_SetInterval_Oord__class_OgreaterThanLessThan > c_SetInterval_Oord__class_OgreaterThanAtMost > c_SetInterval_Oord__class_OatLeastLessThan > c_SetInterval_Oord__class_OatLeastAtMost > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Ominus__class_Ominus > c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1 > tc_fun > hAPP > c_SetInterval_Oord__class_OlessThan > c_SetInterval_Oord__class_OgreaterThan > c_SetInterval_Oord__class_OatMost > c_SetInterval_Oord__class_OatLeast > c_HOL_Ouminus__class_Ouminus > c_Finite__Set_Olinorder__class_OMin > c_Finite__Set_Olinorder__class_OMax > c_Complete__Lattice_OSup__class_OSup > #nlpp > tc_Option_Ooption > tc_Hoare__Mirabelle_Otriple > c_lessequals > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > c_Option_Ooption_ONone > c_Fun_Oid > v_x > v_G > 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_SetInterval_Oord__class_OlessThan,type,
c_SetInterval_Oord__class_OlessThan: ( $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(c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(v_G,type,
v_G: $i ).
tff(c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1,type,
c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Fun_Ofcomp,type,
c_Fun_Ofcomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord__class_OatLeast,type,
c_SetInterval_Oord__class_OatLeast: ( $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_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_Fun_Oid,type,
c_Fun_Oid: $i > $i ).
tff(t_a,type,
t_a: $i ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(c_SetInterval_Oord__class_OgreaterThan,type,
c_SetInterval_Oord__class_OgreaterThan: ( $i * $i ) > $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $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_ATP__Linkup_Osko__Orderings__Xle__funI__1__1,type,
c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(c_Orderings_Obot__axioms,type,
c_Orderings_Obot__axioms: ( $i * $i * $i ) > $o ).
tff(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
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_SetInterval_Oord__class_OgreaterThanLessThan,type,
c_SetInterval_Oord__class_OgreaterThanLessThan: ( $i * $i * $i ) > $i ).
tff(c_lessequals,type,
c_lessequals: $i > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(c_SetInterval_Oord__class_OatLeastLessThan,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Complete__Lattice_OSup__class_OSup,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $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_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(c_SetInterval_Oord__class_OatMost,type,
c_SetInterval_Oord__class_OatMost: ( $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_HOL_Ouminus,type,
class_HOL_Ouminus: $i > $o ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1,type,
c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1: ( $i * $i * $i ) > $i ).
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_SetInterval_Oord__class_OgreaterThanAtMost,type,
c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(tc_Hoare__Mirabelle_Otriple,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_SetInterval_Oord__class_OatLeastAtMost,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
tff(f_3470,axiom,
! [V_G,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a),
file(unknown,unknown) ).
tff(f_3498,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
file(unknown,unknown) ).
tff(c_1136,plain,
! [V_G_1904,T_a_1905] : c_Hoare__Mirabelle_Ohoare__derivs(V_G_1904,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a_1905),tc_bool)),T_a_1905),
inference(cnfTransformation,[status(thm)],[f_3470]) ).
tff(c_1150,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
inference(cnfTransformation,[status(thm)],[f_3498]) ).
tff(c_1218,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1136,c_1150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 23:06:25 EDT 2023
% 0.13/0.36 % CPUTime :
% 7.35/2.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.35/2.62
% 7.35/2.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.57/2.64
% 7.57/2.64 Inference rules
% 7.57/2.64 ----------------------
% 7.57/2.64 #Ref : 0
% 7.57/2.64 #Sup : 0
% 7.57/2.64 #Fact : 0
% 7.57/2.64 #Define : 0
% 7.57/2.64 #Split : 0
% 7.57/2.64 #Chain : 0
% 7.57/2.64 #Close : 0
% 7.57/2.64
% 7.57/2.64 Ordering : KBO
% 7.57/2.64
% 7.57/2.64 Simplification rules
% 7.57/2.64 ----------------------
% 7.57/2.64 #Subsume : 607
% 7.57/2.64 #Demod : 1
% 7.57/2.64 #Tautology : 0
% 7.57/2.64 #SimpNegUnit : 0
% 7.57/2.64 #BackRed : 0
% 7.57/2.64
% 7.57/2.64 #Partial instantiations: 0
% 7.57/2.64 #Strategies tried : 1
% 7.57/2.64
% 7.57/2.64 Timing (in seconds)
% 7.57/2.64 ----------------------
% 7.57/2.64 Preprocessing : 1.45
% 7.57/2.64 Parsing : 0.80
% 7.57/2.64 CNF conversion : 0.12
% 7.57/2.64 Main loop : 0.13
% 7.57/2.64 Inferencing : 0.00
% 7.57/2.64 Reduction : 0.06
% 7.57/2.64 Demodulation : 0.04
% 7.57/2.64 BG Simplification : 0.12
% 7.57/2.64 Subsumption : 0.05
% 7.57/2.64 Abstraction : 0.02
% 7.57/2.65 MUC search : 0.00
% 7.57/2.65 Cooper : 0.00
% 7.57/2.65 Total : 1.63
% 7.57/2.65 Index Insertion : 0.00
% 7.57/2.65 Index Deletion : 0.00
% 7.57/2.65 Index Matching : 0.00
% 7.57/2.65 BG Taut test : 0.00
%------------------------------------------------------------------------------