TSTP Solution File: LCL789-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL789-1 : 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 10:49:01 EDT 2023
% Result : Unsatisfiable 5.23s 2.23s
% Output : CNFRefutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 85
% Syntax : Number of formulae : 90 ( 8 unt; 82 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 145 ( 58 >; 87 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 64 ( 64 usr; 24 con; 0-5 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_ListOrder_Ostep1 > c_Wellfounded_Oaccp > c_Type_Otypings > c_Type_Otyping > c_List_Olistsp > hBOOL > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ocomm__semiring__1 > class_OrderedGroup_Osemigroup__add > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__ab__semigroup__add > class_OrderedGroup_Oab__semigroup__add > class_OrderedGroup_Oab__group__add > class_Int_Oring__char__0 > class_Int_Onumber__ring > c_Power_Opower_Opower > c_List_Osko__List__Xappend__eq__Cons__conv__1__1 > c_List_Osko__List__XCons__eq__append__conv__1__1 > c_List_Ofoldr > c_List_Ofoldl > c_Type_Otype_Otype__rec > c_Type_Otype_Otype__case > c_Type_Osko__Type__Xvar__app__types__1__1 > c_Type_Osko__Type__Xvar__app__typesE__1__1 > c_Type_Osko__Type__Xtyping__elims__2__1 > c_Type_Osko__Type__Xtypes__snocE__1__2 > c_Type_Osko__Type__Xlist__app__typeE__1__1 > c_Type_Osko__Type__Xlist__app__typeD__1__1 > c_Type_Oshift > c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 > c_Type_Osko__Type__Xtyping__elims__3__2 > c_Type_Osko__Type__Xtyping__elims__3__1 > c_Predicate_Oconversep > c_List_Otake > c_List_Oreplicate > c_List_Olist_OCons > c_List_Oappend > c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 > c_Lambda_Osubst > hAPP > c_Transitive__Closure_Ortranclp > c_List_Orotate1 > c_List_Orev > c_List_Olistsum > c_List_Olast > c_List_Obutlast > c_Int_Onumber__class_Onumber__of > #nlpp > c_fequal > c_Type_Otype_OAtom > c_Type_Osko__Type__Xtype__induct__1__1 > c_List_Olist_ONil > c_Lambda_OdB_OVar > c_Lambda_OdB_OAbs > c_HOL_Ozero__class_Ozero > c_HOL_Oplus__class_Oplus > v_ua______ > v_u____ > v_rs____ > v_n____ > v_ia______ > v_i____ > v_ea______ > v_e____ > v_as____ > v_a____ > v_Ts____ > v_T____ > v_T_Ha______ > v_T_H____ > v_T_H_H____ > tc_nat > tc_Type_Otype > tc_Lambda_OdB > tc_Int_Oint > t_a > c_Type_Otype_OFun > c_Lambda_OdB_OApp > c_Lambda_Obeta > c_InductTermi_OIT
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_Int_Oring__char__0,type,
class_Int_Oring__char__0: $i > $o ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(c_Type_Osko__Type__Xtyping__elims__3__2,type,
c_Type_Osko__Type__Xtyping__elims__3__2: ( $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Type_Osko__Type__Xtype__induct__1__1,type,
c_Type_Osko__Type__Xtype__induct__1__1: $i > $i ).
tff(c_List_Oappend,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(tc_Type_Otype,type,
tc_Type_Otype: $i ).
tff(c_Type_Osko__Type__Xvar__app__typesE__1__1,type,
c_Type_Osko__Type__Xvar__app__typesE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(c_Int_Onumber__class_Onumber__of,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(c_Power_Opower_Opower,type,
c_Power_Opower_Opower: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Orev,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(v_T_Ha______,type,
v_T_Ha______: $i ).
tff(tc_Int_Oint,type,
tc_Int_Oint: $i ).
tff(c_InductTermi_OIT,type,
c_InductTermi_OIT: $i ).
tff(c_List_Obutlast,type,
c_List_Obutlast: ( $i * $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_List_Ofoldl,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Olistsp,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(c_Type_Osko__Type__Xlist__app__typeD__1__1,type,
c_Type_Osko__Type__Xlist__app__typeD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Lambda_Osubst,type,
c_Lambda_Osubst: ( $i * $i * $i ) > $i ).
tff(v_rs____,type,
v_rs____: $i ).
tff(v_ia______,type,
v_ia______: $i ).
tff(c_Type_Osko__Type__Xvar__app__types__1__1,type,
c_Type_Osko__Type__Xvar__app__types__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Type_Otype_OAtom,type,
c_Type_Otype_OAtom: $i > $i ).
tff(c_ListOrder_Ostep1,type,
c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).
tff(c_List_Oreplicate,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1,type,
c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1: ( $i * $i * $i ) > $i ).
tff(c_Type_Osko__Type__Xtyping__elims__2__1,type,
c_Type_Osko__Type__Xtyping__elims__2__1: ( $i * $i * $i * $i ) > $i ).
tff(v_ea______,type,
v_ea______: $i ).
tff(c_List_Ofoldr,type,
c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_ua______,type,
v_ua______: $i ).
tff(c_Type_Osko__Type__Xtypes__snocE__1__2,type,
c_Type_Osko__Type__Xtypes__snocE__1__2: ( $i * $i * $i * $i ) > $i ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(c_Lambda_OdB_OVar,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(c_Type_Oshift,type,
c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).
tff(v_n____,type,
v_n____: $i ).
tff(c_Type_Otyping,type,
c_Type_Otyping: ( $i * $i * $i ) > $o ).
tff(v_e____,type,
v_e____: $i ).
tff(c_List_Olistsum,type,
c_List_Olistsum: ( $i * $i ) > $i ).
tff(c_Lambda_OdB_OAbs,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(c_Type_Osko__Type__Xlist__app__typeE__1__1,type,
c_Type_Osko__Type__Xlist__app__typeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1,type,
c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(c_Lambda_OdB_OApp,type,
c_Lambda_OdB_OApp: $i ).
tff(c_List_Osko__List__XCons__eq__append__conv__1__1,type,
c_List_Osko__List__XCons__eq__append__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Type_Otypings,type,
c_Type_Otypings: ( $i * $i * $i ) > $o ).
tff(tc_Lambda_OdB,type,
tc_Lambda_OdB: $i ).
tff(class_OrderedGroup_Osemigroup__add,type,
class_OrderedGroup_Osemigroup__add: $i > $o ).
tff(c_HOL_Ozero__class_Ozero,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(c_Type_Otype_Otype__rec,type,
c_Type_Otype_Otype__rec: ( $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_List_Osko__List__Xappend__eq__Cons__conv__1__1,type,
c_List_Osko__List__Xappend__eq__Cons__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_Type_Otype_Otype__case,type,
c_Type_Otype_Otype__case: ( $i * $i * $i * $i ) > $i ).
tff(c_Wellfounded_Oaccp,type,
c_Wellfounded_Oaccp: ( $i * $i * $i ) > $o ).
tff(v_Ts____,type,
v_Ts____: $i ).
tff(c_Type_Otype_OFun,type,
c_Type_Otype_OFun: $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(v_T____,type,
v_T____: $i ).
tff(c_List_Orotate1,type,
c_List_Orotate1: ( $i * $i ) > $i ).
tff(v_i____,type,
v_i____: $i ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(c_Transitive__Closure_Ortranclp,type,
c_Transitive__Closure_Ortranclp: ( $i * $i ) > $i ).
tff(v_as____,type,
v_as____: $i ).
tff(v_a____,type,
v_a____: $i ).
tff(c_List_Otake,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(v_T_H____,type,
v_T_H____: $i ).
tff(c_Type_Osko__Type__Xtyping__elims__3__1,type,
c_Type_Osko__Type__Xtyping__elims__3__1: ( $i * $i * $i ) > $i ).
tff(v_u____,type,
v_u____: $i ).
tff(v_T_H_H____,type,
v_T_H_H____: $i ).
tff(c_Predicate_Oconversep,type,
c_Predicate_Oconversep: ( $i * $i * $i ) > $i ).
tff(c_Lambda_Obeta,type,
c_Lambda_Obeta: $i ).
tff(c_List_Olast,type,
c_List_Olast: ( $i * $i ) > $i ).
tff(f_1360,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file(unknown,unknown) ).
tff(f_1359,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file(unknown,unknown) ).
tff(f_1362,axiom,
~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
file(unknown,unknown) ).
tff(c_598,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(cnfTransformation,[status(thm)],[f_1360]) ).
tff(c_596,plain,
hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) = v_T____,
inference(cnfTransformation,[status(thm)],[f_1359]) ).
tff(c_600,plain,
~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
inference(cnfTransformation,[status(thm)],[f_1362]) ).
tff(c_643,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(demodulation,[status(thm),theory(equality)],[c_596,c_600]) ).
tff(c_645,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_643]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL789-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 14:49:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.23/2.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.23/2.24
% 5.23/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.23/2.26
% 5.23/2.26 Inference rules
% 5.23/2.26 ----------------------
% 5.23/2.26 #Ref : 0
% 5.23/2.26 #Sup : 0
% 5.23/2.26 #Fact : 0
% 5.23/2.26 #Define : 0
% 5.23/2.26 #Split : 0
% 5.23/2.26 #Chain : 0
% 5.23/2.26 #Close : 0
% 5.23/2.26
% 5.23/2.26 Ordering : KBO
% 5.23/2.26
% 5.23/2.26 Simplification rules
% 5.23/2.26 ----------------------
% 5.23/2.26 #Subsume : 320
% 5.23/2.26 #Demod : 2
% 5.23/2.26 #Tautology : 0
% 5.23/2.26 #SimpNegUnit : 0
% 5.23/2.26 #BackRed : 0
% 5.23/2.26
% 5.23/2.26 #Partial instantiations: 0
% 5.23/2.26 #Strategies tried : 1
% 5.23/2.26
% 5.23/2.26 Timing (in seconds)
% 5.23/2.26 ----------------------
% 5.23/2.27 Preprocessing : 1.09
% 5.23/2.27 Parsing : 0.58
% 5.23/2.27 CNF conversion : 0.08
% 5.23/2.27 Main loop : 0.10
% 5.23/2.27 Inferencing : 0.00
% 5.23/2.27 Reduction : 0.05
% 5.23/2.27 Demodulation : 0.04
% 5.23/2.27 BG Simplification : 0.08
% 5.23/2.27 Subsumption : 0.04
% 5.23/2.27 Abstraction : 0.02
% 5.23/2.27 MUC search : 0.00
% 5.23/2.27 Cooper : 0.00
% 5.23/2.27 Total : 1.24
% 5.23/2.27 Index Insertion : 0.00
% 5.23/2.27 Index Deletion : 0.00
% 5.23/2.27 Index Matching : 0.00
% 5.23/2.27 BG Taut test : 0.00
%------------------------------------------------------------------------------