TSTP Solution File: LCL817-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL817-1 : 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 : 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 10:49:05 EDT 2023
% Result : Unsatisfiable 22.47s 9.18s
% Output : CNFRefutation 22.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 80
% Syntax : Number of formulae : 87 ( 8 unt; 76 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 : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 110 ( 53 >; 57 *; 0 +; 0 <<)
% Number of predicates : 29 ( 28 usr; 1 prp; 0-4 aty)
% Number of functors : 48 ( 48 usr; 23 con; 0-5 aty)
% Number of variables : 13 (; 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_ListOrder_Ostep1 > c_Wellfounded_Oaccp > c_Type_Otypings > c_Type_Otyping > c_List_Olistsp > c_HOL_Oord__class_Oless > hBOOL > class_Ring__and__Field_Osemiring__1 > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ocomm__semiring__1 > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Osemigroup__add > class_OrderedGroup_Opordered__comm__monoid__add > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > 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_Nat_Osemiring__char__0 > class_Int_Onumber__ring > c_List_Ofoldr > c_List_Ofoldl > 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_Predicate_Oconversep > c_List_Olist_OCons > c_List_Oappend > c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 > c_Lambda_Osubst > tc_fun > hAPP > c_Transitive__Closure_Ortranclp > c_Nat_Osemiring__1__class_Oof__nat > c_Lambda_Olift > #nlpp > c_fequal > 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_bool > tc_Type_Otype > tc_Lambda_OdB > c_Type_Otype_OFun > c_Lambda_OdB_OApp > c_Lambda_Obeta > c_InductTermi_OIT
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Lambda_Olift,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $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_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_fequal,type,
c_fequal: $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_Nat_Osemiring__1__class_Oof__nat,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $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(c_InductTermi_OIT,type,
c_InductTermi_OIT: $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(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
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_ListOrder_Ostep1,type,
c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).
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(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
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(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
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_Opordered__cancel__ab__semigroup__add,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(tc_fun,type,
tc_fun: ( $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(tc_bool,type,
tc_bool: $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(class_Nat_Osemiring__char__0,type,
class_Nat_Osemiring__char__0: $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(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $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(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(v_T_H____,type,
v_T_H____: $i ).
tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
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(class_Ring__and__Field_Osemiring__1,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(f_1407,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file(unknown,unknown) ).
tff(f_1408,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file(unknown,unknown) ).
tff(f_1406,axiom,
! [V_e_H,V_u,V_i,V_U,V_t,V_T] :
( ~ c_Type_Otyping(V_e_H,V_u,V_U)
| ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
| c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ),
file(unknown,unknown) ).
tff(f_1410,axiom,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
file(unknown,unknown) ).
tff(c_540,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(cnfTransformation,[status(thm)],[f_1407]) ).
tff(c_542,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
inference(cnfTransformation,[status(thm)],[f_1408]) ).
tff(c_150663,plain,
! [V_T_46929,V_t_46932,V_U_46930,V_i_46931,V_e_H_46928,V_u_46927] :
( c_Type_Otyping(V_e_H_46928,c_Lambda_Osubst(V_t_46932,V_u_46927,V_i_46931),V_T_46929)
| ~ c_Type_Otyping(c_Type_Oshift(V_e_H_46928,V_i_46931,V_U_46930,tc_Type_Otype),V_t_46932,V_T_46929)
| ~ c_Type_Otyping(V_e_H_46928,V_u_46927,V_U_46930) ),
inference(cnfTransformation,[status(thm)],[f_1406]) ).
tff(c_150797,plain,
! [V_u_47071] :
( c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,V_u_47071,v_i____),v_T_H_H____)
| ~ c_Type_Otyping(v_e____,V_u_47071,v_T____) ),
inference(resolution,[status(thm)],[c_542,c_150663]) ).
tff(c_544,plain,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
inference(cnfTransformation,[status(thm)],[f_1410]) ).
tff(c_150802,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[status(thm)],[c_150797,c_544]) ).
tff(c_151639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_540,c_150802]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL817-1 : 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
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 14:18:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 22.47/9.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.47/9.19
% 22.47/9.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.47/9.21
% 22.47/9.21 Inference rules
% 22.47/9.21 ----------------------
% 22.47/9.21 #Ref : 31
% 22.47/9.21 #Sup : 14717
% 22.47/9.21 #Fact : 14
% 22.47/9.21 #Define : 0
% 22.47/9.21 #Split : 4
% 22.47/9.21 #Chain : 0
% 22.47/9.21 #Close : 0
% 22.47/9.21
% 22.47/9.21 Ordering : KBO
% 22.47/9.21
% 22.47/9.21 Simplification rules
% 22.47/9.21 ----------------------
% 22.47/9.21 #Subsume : 1908
% 22.47/9.21 #Demod : 1384
% 22.47/9.21 #Tautology : 756
% 22.47/9.21 #SimpNegUnit : 97
% 22.47/9.21 #BackRed : 0
% 22.47/9.21
% 22.47/9.21 #Partial instantiations: 31584
% 22.47/9.21 #Strategies tried : 1
% 22.47/9.21
% 22.47/9.21 Timing (in seconds)
% 22.47/9.21 ----------------------
% 22.47/9.22 Preprocessing : 1.10
% 22.47/9.22 Parsing : 0.59
% 22.47/9.22 CNF conversion : 0.08
% 22.47/9.22 Main loop : 6.97
% 22.47/9.22 Inferencing : 1.72
% 22.47/9.22 Reduction : 2.62
% 22.47/9.22 Demodulation : 1.73
% 22.47/9.22 BG Simplification : 0.20
% 22.47/9.22 Subsumption : 2.09
% 22.47/9.22 Abstraction : 0.16
% 22.47/9.22 MUC search : 0.00
% 22.47/9.22 Cooper : 0.00
% 22.47/9.22 Total : 8.11
% 22.47/9.22 Index Insertion : 0.00
% 22.47/9.22 Index Deletion : 0.00
% 22.47/9.22 Index Matching : 0.00
% 22.47/9.22 BG Taut test : 0.00
%------------------------------------------------------------------------------