TSTP Solution File: SWV837-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV837-1 : 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 : n015.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 11:05:46 EDT 2023
% Result : Unsatisfiable 14.63s 4.50s
% Output : CNFRefutation 14.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 58
% Syntax : Number of formulae : 65 ( 8 unt; 54 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 97 ( 48 >; 49 *; 0 +; 0 <<)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 9 (; 9 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Fun_Oinj__on > c_lessequals > c_in > c_fequal > c_Orderings_Oorder__class_Omono > 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_Oord > class_Finite__Set_Ofinite_Ofinite > c_Set_Ovimage > c_Set_Oimage > c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 > c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 > c_Set_Oinsert > 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 > #nlpp > tc_Hoare__Mirabelle_Otriple > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > v_tsa > v_Ga > v_G_Ha > v_G > tc_bool > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
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(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_SetInterval_Oord__class_OatLeast,type,
c_SetInterval_Oord__class_OatLeast: ( $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(v_tsa,type,
v_tsa: $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(v_G_Ha,type,
v_G_Ha: $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(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(class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $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_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_Orderings_Oorder__class_Omono,type,
c_Orderings_Oorder__class_Omono: ( $i * $i * $i ) > $o ).
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(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(v_Ga,type,
v_Ga: $i ).
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(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_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_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_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord__class_OatLeastAtMost,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(f_3339,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
file(unknown,unknown) ).
tff(f_3336,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
file(unknown,unknown) ).
tff(f_3273,axiom,
! [V_G,V_ts,T_a,V_G_H] :
( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ),
file(unknown,unknown) ).
tff(f_3341,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file(unknown,unknown) ).
tff(c_1092,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(cnfTransformation,[status(thm)],[f_3339]) ).
tff(c_1086,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(cnfTransformation,[status(thm)],[f_3336]) ).
tff(c_13419,plain,
! [V_G_H_2429,V_ts_2430,T_a_2431,V_G_2432] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H_2429,V_ts_2430,T_a_2431)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_2432,V_G_H_2429,T_a_2431)
| c_Hoare__Mirabelle_Ohoare__derivs(V_G_2432,V_ts_2430,T_a_2431) ),
inference(cnfTransformation,[status(thm)],[f_3273]) ).
tff(c_13553,plain,
! [V_G_2442] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_2442,v_G_Ha,t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(V_G_2442,v_tsa,t_a) ),
inference(resolution,[status(thm)],[c_1086,c_13419]) ).
tff(c_1094,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(cnfTransformation,[status(thm)],[f_3341]) ).
tff(c_13558,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(resolution,[status(thm)],[c_13553,c_1094]) ).
tff(c_13563,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1092,c_13558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV837-1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.14 % 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
% 0.14/0.35 % Computer : n015.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 : Thu Aug 3 23:35:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 14.63/4.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.63/4.51
% 14.63/4.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.63/4.53
% 14.63/4.53 Inference rules
% 14.63/4.53 ----------------------
% 14.63/4.53 #Ref : 8
% 14.63/4.53 #Sup : 2639
% 14.63/4.53 #Fact : 2
% 14.63/4.53 #Define : 0
% 14.63/4.53 #Split : 2
% 14.63/4.53 #Chain : 0
% 14.63/4.53 #Close : 0
% 14.63/4.53
% 14.63/4.53 Ordering : KBO
% 14.63/4.53
% 14.63/4.53 Simplification rules
% 14.63/4.53 ----------------------
% 14.63/4.53 #Subsume : 580
% 14.63/4.53 #Demod : 1710
% 14.63/4.53 #Tautology : 1559
% 14.63/4.53 #SimpNegUnit : 29
% 14.63/4.53 #BackRed : 0
% 14.63/4.53
% 14.63/4.53 #Partial instantiations: 0
% 14.63/4.53 #Strategies tried : 1
% 14.63/4.53
% 14.63/4.53 Timing (in seconds)
% 14.63/4.53 ----------------------
% 14.63/4.54 Preprocessing : 1.44
% 14.63/4.54 Parsing : 0.79
% 14.63/4.54 CNF conversion : 0.13
% 14.63/4.54 Main loop : 2.04
% 14.63/4.54 Inferencing : 0.48
% 14.63/4.54 Reduction : 0.83
% 14.63/4.54 Demodulation : 0.60
% 14.63/4.54 BG Simplification : 0.14
% 14.63/4.54 Subsumption : 0.50
% 14.63/4.54 Abstraction : 0.06
% 14.63/4.54 MUC search : 0.00
% 14.63/4.54 Cooper : 0.00
% 14.63/4.54 Total : 3.53
% 14.63/4.54 Index Insertion : 0.00
% 14.63/4.54 Index Deletion : 0.00
% 14.63/4.54 Index Matching : 0.00
% 14.63/4.54 BG Taut test : 0.00
%------------------------------------------------------------------------------