TSTP Solution File: SWV860-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV860-1 : 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 : n003.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 11:05:49 EDT 2023
% Result : Unsatisfiable 10.00s 3.47s
% Output : CNFRefutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 82
% Syntax : Number of formulae : 89 ( 9 unt; 78 typ; 0 def)
% Number of atoms : 13 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 190 ( 68 >; 122 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-9 aty)
% Number of functors : 56 ( 56 usr; 10 con; 0-10 aty)
% Number of variables : 6 (; 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Natural_Oevaln > c_Fun_Oinj__on > c_lessequals > 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_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_Ominus > 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_Fun_Ofcomp > c_Fun_Ocomp > c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 > 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_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 > c_Set_Oinsert > c_SetInterval_Oord_OlessThan > c_SetInterval_Oord_OgreaterThan > c_SetInterval_Oord_OatMost > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Ominus__class_Ominus > 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__XbexI__1__1 > c_ATP__Linkup_Osko__Set__XbexE__1__1 > c_ATP__Linkup_Osko__Set__XballE__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 > c_Collect > #nlpp > tc_Hoare__Mirabelle_Otriple > c_in > c_fequal > c_Suc > c_Orderings_Obot__class_Obot > c_Fun_Oid > c_Com_Ocom_OBODY > c_COMBI > v_xb > v_xa > v_x > v_n > v_P > v_Ga > 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_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(class_HOL_Ominus,type,
class_HOL_Ominus: $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_fequal,type,
c_fequal: $i > $i ).
tff(c_SetInterval_Oord_OlessThan,type,
c_SetInterval_Oord_OlessThan: ( $i * $i * $i ) > $i ).
tff(v_xa,type,
v_xa: $i ).
tff(v_P,type,
v_P: $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3: ( $i * $i * $i * $i * $i ) > $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(v_n,type,
v_n: $i ).
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(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_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_Collect,type,
c_Collect: ( $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_SetInterval_Oord_OatMost,type,
c_SetInterval_Oord_OatMost: ( $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(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_SetInterval_Oord_OgreaterThan,type,
c_SetInterval_Oord_OgreaterThan: ( $i * $i * $i ) > $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(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(v_Ga,type,
v_Ga: $i ).
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(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $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(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Set__XbexI__1__1,type,
c_ATP__Linkup_Osko__Set__XbexI__1__1: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(v_xb,type,
v_xb: $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_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(c_ATP__Linkup_Osko__Set__XballE__1__1,type,
c_ATP__Linkup_Osko__Set__XballE__1__1: ( $i * $i * $i ) > $i ).
tff(f_2377,axiom,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
file(unknown,unknown) ).
tff(f_2378,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
file(unknown,unknown) ).
tff(f_2376,axiom,
! [V_t,V_s,V_n] :
( ( V_t = V_s )
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ),
file(unknown,unknown) ).
tff(f_2380,axiom,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
file(unknown,unknown) ).
tff(c_970,plain,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(cnfTransformation,[status(thm)],[f_2377]) ).
tff(c_972,plain,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
inference(cnfTransformation,[status(thm)],[f_2378]) ).
tff(c_1200,plain,
! [V_s_2194,V_n_2195,V_t_2196] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s_2194,V_n_2195,V_t_2196)
| ( V_t_2196 = V_s_2194 ) ),
inference(cnfTransformation,[status(thm)],[f_2376]) ).
tff(c_1209,plain,
v_xb = v_xa,
inference(resolution,[status(thm)],[c_972,c_1200]) ).
tff(c_974,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
inference(cnfTransformation,[status(thm)],[f_2380]) ).
tff(c_1210,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(demodulation,[status(thm),theory(equality)],[c_1209,c_974]) ).
tff(c_1214,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_970,c_1210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV860-1 : 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
% 0.13/0.35 % Computer : n003.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 23:12:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 10.00/3.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.00/3.48
% 10.00/3.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.48/3.52
% 10.48/3.52 Inference rules
% 10.48/3.52 ----------------------
% 10.48/3.52 #Ref : 2
% 10.48/3.52 #Sup : 10
% 10.48/3.52 #Fact : 0
% 10.48/3.52 #Define : 0
% 10.48/3.52 #Split : 0
% 10.48/3.52 #Chain : 0
% 10.48/3.52 #Close : 0
% 10.48/3.52
% 10.48/3.52 Ordering : KBO
% 10.48/3.52
% 10.48/3.52 Simplification rules
% 10.48/3.52 ----------------------
% 10.48/3.52 #Subsume : 73
% 10.48/3.52 #Demod : 84
% 10.48/3.52 #Tautology : 25
% 10.48/3.52 #SimpNegUnit : 0
% 10.48/3.52 #BackRed : 2
% 10.48/3.52
% 10.48/3.52 #Partial instantiations: 0
% 10.48/3.52 #Strategies tried : 1
% 10.48/3.52
% 10.48/3.52 Timing (in seconds)
% 10.48/3.52 ----------------------
% 10.48/3.52 Preprocessing : 1.45
% 10.48/3.52 Parsing : 0.76
% 10.48/3.52 CNF conversion : 0.13
% 10.48/3.52 Main loop : 0.99
% 10.48/3.52 Inferencing : 0.09
% 10.48/3.52 Reduction : 0.54
% 10.48/3.52 Demodulation : 0.36
% 10.48/3.52 BG Simplification : 0.12
% 10.48/3.52 Subsumption : 0.22
% 10.48/3.52 Abstraction : 0.05
% 10.48/3.52 MUC search : 0.00
% 10.48/3.52 Cooper : 0.00
% 10.48/3.52 Total : 2.51
% 10.48/3.52 Index Insertion : 0.00
% 10.48/3.52 Index Deletion : 0.00
% 10.48/3.52 Index Matching : 0.00
% 10.48/3.52 BG Taut test : 0.00
%------------------------------------------------------------------------------