TSTP Solution File: SWV848-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV848-1 : 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 : 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 11:05:48 EDT 2023
% Result : Unsatisfiable 5.49s 2.46s
% Output : CNFRefutation 6.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 71
% Syntax : Number of formulae : 74 ( 5 unt; 69 typ; 0 def)
% Number of atoms : 5 ( 4 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 : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 165 ( 58 >; 107 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-9 aty)
% Number of functors : 50 ( 50 usr; 11 con; 0-10 aty)
% Number of variables : 4 (; 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Natural_Oevaln > c_lessequals > c_fequal > c_Natural_Oevalc > c_Hoare__Mirabelle_Otriple__valid > c_Hoare__Mirabelle_Ohoare__valids > hBOOL > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > class_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice > class_Complete__Lattice_Ocomplete__lattice > c_Com_OWT > c_Com_Ocom_Ocom__rec > c_Com_Ocom_Ocom__case > c_Natural_Osko__Natural__Xevaln__max2__1__1 > c_SetInterval_Oord_OatLeastLessThan > c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1 > c_Fun_Ofcomp > c_Fun_Ocomp > c_Set_Ovimage > c_Set_Oimage > c_SetInterval_Oord_OatLeastAtMost > c_Hoare__Mirabelle_Otriple_Otriple > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_COMBC > c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 > c_Set_Oinsert > c_SetInterval_Oord_OlessThan > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_Com_Ocom_OLocal > c_Com_Ocom_OCond > c_Com_Ocom_OCall > c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 > c_ATP__Linkup_Osko__Set__XbexE__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_Com_Ocom_OWhile > c_Com_Ocom_OSemi > c_Com_Ocom_OAss > #nlpp > v_nb > tc_Hoare__Mirabelle_Otriple > c_in > c_Suc > c_Orderings_Obot__class_Obot > c_Fun_Oid > c_Com_Ocom_OBODY > c_COMBI > v_x > v_sa > v_na > v_c > v_b > v_P > v_G > tc_nat > tc_bool > t_a > c_Com_Ocom_OSKIP
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_COMBI,type,
c_COMBI: $i > $i ).
tff(v_x,type,
v_x: $i ).
tff(c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1,type,
c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord_OatLeastLessThan,type,
c_SetInterval_Oord_OatLeastLessThan: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1,type,
v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1: ( $i * $i ) > $i ).
tff(v_c,type,
v_c: $i ).
tff(v_G,type,
v_G: $i ).
tff(c_SetInterval_Oord_OlessThan,type,
c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).
tff(v_P,type,
v_P: $i ).
tff(c_Fun_Ofcomp,type,
c_Fun_Ofcomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__Xbex__Un__1__3,type,
c_ATP__Linkup_Osko__Set__Xbex__Un__1__3: ( $i * $i * $i * $i ) > $i ).
tff(c_Com_Ocom_OAss,type,
c_Com_Ocom_OAss: ( $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_Com_Ocom_OCond,type,
c_Com_Ocom_OCond: ( $i * $i * $i ) > $i ).
tff(c_Com_Ocom_OWhile,type,
c_Com_Ocom_OWhile: ( $i * $i ) > $i ).
tff(c_Fun_Oid,type,
c_Fun_Oid: $i > $i ).
tff(t_a,type,
t_a: $i ).
tff(c_Com_Ocom_Ocom__case,type,
c_Com_Ocom_Ocom__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(v_b,type,
v_b: $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_Natural_Oevalc,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(c_Com_Ocom_OCall,type,
c_Com_Ocom_OCall: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1,type,
c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1: ( $i * $i * $i ) > $i ).
tff(c_Hoare__Mirabelle_Otriple_Otriple,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(c_Com_Ocom_OLocal,type,
c_Com_Ocom_OLocal: ( $i * $i * $i ) > $i ).
tff(c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $i ).
tff(c_Suc,type,
c_Suc: $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(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
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_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(v_na,type,
v_na: $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $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_Ocomplete__lattice,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_SetInterval_Oord_OatLeastAtMost,type,
c_SetInterval_Oord_OatLeastAtMost: ( $i * $i * $i * $i ) > $i ).
tff(c_in,type,
c_in: $i > $i ).
tff(c_Com_OWT,type,
c_Com_OWT: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(v_nb,type,
v_nb: $i > $i ).
tff(c_Com_Ocom_Ocom__rec,type,
c_Com_Ocom_Ocom__rec: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(c_Hoare__Mirabelle_Ohoare__valids,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
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(v_sa,type,
v_sa: $i ).
tff(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__XbexE__1__1,type,
c_ATP__Linkup_Osko__Set__XbexE__1__1: ( $i * $i * $i ) > $i ).
tff(c_Natural_Osko__Natural__Xevaln__max2__1__1,type,
c_Natural_Osko__Natural__Xevaln__max2__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
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_Natural_Oevaln,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
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(f_1944,axiom,
! [V_fun_H,V_com_H] : ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ),
file(unknown,unknown) ).
tff(f_1985,axiom,
c_Com_Ocom_OSKIP = c_Com_Ocom_OWhile(v_b,v_c),
file(unknown,unknown) ).
tff(c_806,plain,
! [V_fun_H_1732,V_com_H_1733] : ( c_Com_Ocom_OWhile(V_fun_H_1732,V_com_H_1733) != c_Com_Ocom_OSKIP ),
inference(cnfTransformation,[status(thm)],[f_1944]) ).
tff(c_822,plain,
c_Com_Ocom_OWhile(v_b,v_c) = c_Com_Ocom_OSKIP,
inference(cnfTransformation,[status(thm)],[f_1985]) ).
tff(c_891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_806,c_822]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV848-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n001.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 23:27:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.49/2.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.11/2.47
% 6.11/2.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.11/2.49
% 6.11/2.49 Inference rules
% 6.11/2.49 ----------------------
% 6.11/2.49 #Ref : 0
% 6.11/2.49 #Sup : 0
% 6.11/2.50 #Fact : 0
% 6.11/2.50 #Define : 0
% 6.11/2.50 #Split : 0
% 6.11/2.50 #Chain : 0
% 6.11/2.50 #Close : 0
% 6.11/2.50
% 6.11/2.50 Ordering : KBO
% 6.11/2.50
% 6.11/2.50 Simplification rules
% 6.11/2.50 ----------------------
% 6.11/2.50 #Subsume : 443
% 6.11/2.50 #Demod : 1
% 6.11/2.50 #Tautology : 0
% 6.11/2.50 #SimpNegUnit : 1
% 6.11/2.50 #BackRed : 0
% 6.11/2.50
% 6.11/2.50 #Partial instantiations: 0
% 6.11/2.50 #Strategies tried : 1
% 6.11/2.50
% 6.11/2.50 Timing (in seconds)
% 6.11/2.50 ----------------------
% 6.11/2.50 Preprocessing : 1.27
% 6.11/2.50 Parsing : 0.71
% 6.11/2.50 CNF conversion : 0.10
% 6.11/2.50 Main loop : 0.14
% 6.11/2.50 Inferencing : 0.00
% 6.11/2.50 Reduction : 0.07
% 6.11/2.50 Demodulation : 0.05
% 6.11/2.50 BG Simplification : 0.10
% 6.11/2.50 Subsumption : 0.05
% 6.11/2.50 Abstraction : 0.03
% 6.11/2.50 MUC search : 0.00
% 6.11/2.50 Cooper : 0.00
% 6.11/2.50 Total : 1.46
% 6.11/2.50 Index Insertion : 0.00
% 6.11/2.50 Index Deletion : 0.00
% 6.11/2.50 Index Matching : 0.00
% 6.11/2.50 BG Taut test : 0.00
%------------------------------------------------------------------------------