TSTP Solution File: SWV857-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV857-1 : 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 : n023.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 16.73s 5.12s
% Output : CNFRefutation 16.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 78
% Syntax : Number of formulae : 95 ( 14 unt; 69 typ; 0 def)
% Number of atoms : 38 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 7 con; 0-5 aty)
% Number of variables : 36 (; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_fequal > c_Hoare__Mirabelle_Otriple__valid > c_Hoare__Mirabelle_Ohoare__valids > c_Hoare__Mirabelle_Ohoare__derivs > c_HOL_Oord__class_Oless > hBOOL > class_Ring__and__Field_Oordered__idom > 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_Complete__Lattice_Ocomplete__lattice > c_Fun_Ofcomp > c_Fun_Ocomp > c_COMBC > c_Set_Ovimage > c_Set_Oimage > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_Complete__Lattice_Ocomplete__lattice__class_OINFI > 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__Set__Xsubset__iff__1__1 > c_ATP__Linkup_Osko__Set__XsubsetI__1__1 > c_ATP__Linkup_Osko__Predicate__Xpredicate1I__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_SetInterval_Oord__class_OlessThan > c_SetInterval_Oord__class_OgreaterThan > c_SetInterval_Oord__class_OatMost > c_SetInterval_Oord__class_OatLeast > c_Inductive_Ocomplete__lattice__class_Ogfp > c_HOL_Ouminus__class_Ouminus > c_Complete__Lattice_OSup__class_OSup > c_Complete__Lattice_OInf__class_OInf > #nlpp > tc_Hoare__Mirabelle_Otriple > c_in > c_Suc > c_Orderings_Obot__class_Obot > c_Fun_Oid > v_xa > v_x > v_tsa > 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_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(v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1,type,
v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1: ( $i * $i ) > $i ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_Ocomplete__lattice__class_OINFI,type,
c_Complete__Lattice_Ocomplete__lattice__class_OINFI: ( $i * $i * $i * $i ) > $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(v_xa,type,
v_xa: $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(v_tsa,type,
v_tsa: $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_Complete__Lattice_OInf__class_OInf,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
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(c_Inductive_Ocomplete__lattice__class_Ogfp,type,
c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).
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_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(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(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(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__2: ( $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(c_ATP__Linkup_Osko__Set__XsubsetI__1__1,type,
c_ATP__Linkup_Osko__Set__XsubsetI__1__1: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1,type,
c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1: ( $i * $i * $i ) > $i ).
tff(c_Hoare__Mirabelle_Ohoare__valids,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $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(v_sko__Hoare__Mirabelle__Xhoare__valids__def__1,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__1: ( $i * $i ) > $i ).
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(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(f_3232,axiom,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file(unknown,unknown) ).
tff(f_3230,axiom,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file(unknown,unknown) ).
tff(f_3220,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
file(unknown,unknown) ).
tff(f_3229,axiom,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file(unknown,unknown) ).
tff(f_2579,axiom,
! [V_A,V_B,T_a] :
( ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B )
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
file(unknown,unknown) ).
tff(f_262,axiom,
! [V_A,V_B,T_a] : ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ),
file(unknown,unknown) ).
tff(f_1082,axiom,
! [V_A,V_B,T_a,V_x] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
| ~ hBOOL(hAPP(V_B,V_x)) ),
file(unknown,unknown) ).
tff(f_3215,axiom,
! [T_a,V_x,V_S] :
( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_3237,axiom,
! [V_xb] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga)) ),
file(unknown,unknown) ).
tff(c_1094,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(cnfTransformation,[status(thm)],[f_3232]) ).
tff(c_1092,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
inference(cnfTransformation,[status(thm)],[f_3230]) ).
tff(c_6969,plain,
! [T_a_2334,V_x_2335,V_S_2336] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a_2334),V_x_2335),V_S_2336))
| hBOOL(hAPP(V_S_2336,V_x_2335)) ),
inference(cnfTransformation,[status(thm)],[f_3220]) ).
tff(c_6982,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[status(thm)],[c_1092,c_6969]) ).
tff(c_1090,plain,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(cnfTransformation,[status(thm)],[f_3229]) ).
tff(c_15225,plain,
! [V_A_2540,V_B_2541,T_a_2542] :
( ~ c_lessequals(V_A_2540,V_B_2541,tc_fun(T_a_2542,tc_bool))
| ( c_Lattices_Oupper__semilattice__class_Osup(V_A_2540,V_B_2541,tc_fun(T_a_2542,tc_bool)) = V_B_2541 ) ),
inference(cnfTransformation,[status(thm)],[f_2579]) ).
tff(c_15438,plain,
c_Lattices_Oupper__semilattice__class_Osup(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) = v_Ga,
inference(resolution,[status(thm)],[c_1090,c_15225]) ).
tff(c_106,plain,
! [V_B_187,V_A_186,T_a_188] : ( c_Lattices_Oupper__semilattice__class_Osup(V_B_187,V_A_186,tc_fun(T_a_188,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A_186,V_B_187,tc_fun(T_a_188,tc_bool)) ),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_15478,plain,
c_Lattices_Oupper__semilattice__class_Osup(v_Ga,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) = v_Ga,
inference(superposition,[status(thm),theory(equality)],[c_15438,c_106]) ).
tff(c_17942,plain,
! [V_B_2572,V_x_2573,V_A_2574,T_a_2575] :
( ~ hBOOL(hAPP(V_B_2572,V_x_2573))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A_2574,V_B_2572,tc_fun(T_a_2575,tc_bool)),V_x_2573)) ),
inference(cnfTransformation,[status(thm)],[f_1082]) ).
tff(c_17997,plain,
! [V_x_2576] :
( ~ hBOOL(hAPP(v_tsa,V_x_2576))
| hBOOL(hAPP(v_Ga,V_x_2576)) ),
inference(superposition,[status(thm),theory(equality)],[c_15478,c_17942]) ).
tff(c_18001,plain,
hBOOL(hAPP(v_Ga,v_xa)),
inference(resolution,[status(thm)],[c_6982,c_17997]) ).
tff(c_1084,plain,
! [V_S_1922,V_x_1921,T_a_1920] :
( ~ hBOOL(hAPP(V_S_1922,V_x_1921))
| hBOOL(hAPP(hAPP(c_in(T_a_1920),V_x_1921),V_S_1922)) ),
inference(cnfTransformation,[status(thm)],[f_3215]) ).
tff(c_13436,plain,
! [V_xb_2495] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb_2495),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb_2495,t_a) ),
inference(cnfTransformation,[status(thm)],[f_3237]) ).
tff(c_13441,plain,
! [V_x_1921] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,V_x_1921,t_a)
| ~ hBOOL(hAPP(v_Ga,V_x_1921)) ),
inference(resolution,[status(thm)],[c_1084,c_13436]) ).
tff(c_18006,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(resolution,[status(thm)],[c_18001,c_13441]) ).
tff(c_18011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1094,c_18006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % 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
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 23:12:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 16.73/5.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.73/5.13
% 16.73/5.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.73/5.16
% 16.73/5.16 Inference rules
% 16.73/5.16 ----------------------
% 16.73/5.16 #Ref : 9
% 16.73/5.16 #Sup : 3569
% 16.73/5.16 #Fact : 6
% 16.73/5.16 #Define : 0
% 16.73/5.16 #Split : 4
% 16.73/5.16 #Chain : 0
% 16.73/5.16 #Close : 0
% 16.73/5.16
% 16.73/5.16 Ordering : KBO
% 16.73/5.16
% 16.73/5.16 Simplification rules
% 16.73/5.16 ----------------------
% 16.73/5.16 #Subsume : 1021
% 16.73/5.16 #Demod : 2553
% 16.73/5.16 #Tautology : 1756
% 16.73/5.16 #SimpNegUnit : 16
% 16.73/5.16 #BackRed : 6
% 16.73/5.16
% 16.73/5.16 #Partial instantiations: 0
% 16.73/5.16 #Strategies tried : 1
% 16.73/5.16
% 16.73/5.16 Timing (in seconds)
% 16.73/5.16 ----------------------
% 16.73/5.16 Preprocessing : 1.38
% 16.73/5.16 Parsing : 0.78
% 16.73/5.16 CNF conversion : 0.11
% 16.73/5.16 Main loop : 2.68
% 16.73/5.16 Inferencing : 0.61
% 16.73/5.16 Reduction : 1.23
% 16.73/5.16 Demodulation : 0.88
% 16.73/5.16 BG Simplification : 0.14
% 16.73/5.16 Subsumption : 0.58
% 16.73/5.16 Abstraction : 0.07
% 16.73/5.16 MUC search : 0.00
% 16.73/5.16 Cooper : 0.00
% 16.73/5.16 Total : 4.11
% 16.73/5.16 Index Insertion : 0.00
% 16.73/5.16 Index Deletion : 0.00
% 16.73/5.16 Index Matching : 0.00
% 16.73/5.16 BG Taut test : 0.00
%------------------------------------------------------------------------------