TSTP Solution File: LCL807-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL807-1 : 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 : n027.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 10:49:04 EDT 2023
% Result : Unsatisfiable 5.80s 2.31s
% Output : CNFRefutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 96
% Syntax : Number of formulae : 101 ( 6 unt; 93 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 127 ( 62 >; 65 *; 0 +; 0 <<)
% Number of predicates : 28 ( 27 usr; 2 prp; 0-3 aty)
% Number of functors : 66 ( 66 usr; 30 con; 0-5 aty)
% Number of variables : 3 (; 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Type_Otypings > c_List_Olistsp > c_HOL_Oord__class_Oless > c_OrderedGroup_Oab__semigroup__add > 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 > v_sko__local__XCons__Xhyps__1__1 > v_sko__local__XCons__1__1 > v_sko__CHAINED__1 > 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__Xlist__app__typeE__1__1 > c_Type_Osko__Type__Xlist__app__typeD__1__1 > c_List_Omap > c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 > c_Predicate_Oconversep > c_List_Olist_OCons > c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 > c_COMBS > c_COMBC > c_COMBB > tc_fun > hAPP > c_Wellfounded_Oaccp > c_Transitive__Closure_Ortranclp > c_Nat_Osize__class_Osize > c_Nat_Osemiring__1__class_Oof__nat > c_List_Olistsum > c_ListOrder_Ostep1 > #nlpp > tc_List_Olist > c_fequal > c_Type_Oshift > c_List_Olist_ONil > c_Lambda_OdB_OVar > c_Lambda_OdB_OAbs > c_HOL_Ozero__class_Ozero > c_HOL_Oplus__class_Oplus > c_Ex > c_All > v_ua______ > v_u____ > v_thesis____ > v_rs____ > v_n____ > v_ia______ > v_i____ > v_ea______ > v_e____ > v_bs____ > v_b____ > 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_implies > c_and > c_Type_Otyping > c_Type_Otype_OFun > c_Lambda_Osubst > c_Lambda_Olift > c_Lambda_OdB_OApp > c_Lambda_Obeta > c_InductTermi_OIT
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_sko__local__XCons__Xhyps__1__1,type,
v_sko__local__XCons__Xhyps__1__1: ( $i * $i * $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_COMBS,type,
c_COMBS: ( $i * $i * $i ) > $i ).
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_Nat_Osize__class_Osize,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(tc_Type_Otype,type,
tc_Type_Otype: $i ).
tff(c_ListOrder_Ostep1,type,
c_ListOrder_Ostep1: ( $i * $i ) > $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_OrderedGroup_Oab__semigroup__add,type,
c_OrderedGroup_Oab__semigroup__add: ( $i * $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(v_thesis____,type,
v_thesis____: $o ).
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_Type_Oshift,type,
c_Type_Oshift: $i > $i ).
tff(v_rs____,type,
v_rs____: $i ).
tff(v_ia______,type,
v_ia______: $i ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i ) > $i ).
tff(v_sko__CHAINED__1,type,
v_sko__CHAINED__1: ( $i * $i * $i * $i ) > $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_implies,type,
c_implies: $i ).
tff(c_and,type,
c_and: $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_Lambda_Osubst,type,
c_Lambda_Osubst: $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(v_n____,type,
v_n____: $i ).
tff(c_Ex,type,
c_Ex: $i > $i ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(v_e____,type,
v_e____: $i ).
tff(c_List_Olistsum,type,
c_List_Olistsum: ( $i * $i ) > $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(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_Type_Otyping,type,
c_Type_Otyping: $i ).
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(c_Wellfounded_Oaccp,type,
c_Wellfounded_Oaccp: ( $i * $i ) > $i ).
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(v_Ts____,type,
v_Ts____: $i ).
tff(v_b____,type,
v_b____: $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(c_All,type,
c_All: $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(c_COMBB,type,
c_COMBB: ( $i * $i * $i ) > $i ).
tff(v_bs____,type,
v_bs____: $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_Lambda_Olift,type,
c_Lambda_Olift: $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(v_sko__local__XCons__1__1,type,
v_sko__local__XCons__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Omap,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(f_1359,axiom,
~ v_thesis____,
file(unknown,unknown) ).
tff(f_1364,axiom,
! [V_x] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),V_x)) ),
file(unknown,unknown) ).
tff(f_1346,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__CHAINED__1(v_T____,v_b____,v_e____,v_i____))),
file(unknown,unknown) ).
tff(c_500,plain,
~ v_thesis____,
inference(cnfTransformation,[status(thm)],[f_1359]) ).
tff(c_502,plain,
! [V_x_753] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),V_x_753))
| v_thesis____ ),
inference(cnfTransformation,[status(thm)],[f_1364]) ).
tff(c_547,plain,
! [V_x_753] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),V_x_753)),
inference(negUnitSimplification,[status(thm)],[c_500,c_502]) ).
tff(c_496,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__CHAINED__1(v_T____,v_b____,v_e____,v_i____))),
inference(cnfTransformation,[status(thm)],[f_1346]) ).
tff(c_548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_547,c_496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL807-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n027.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 14:31:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.80/2.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.80/2.32
% 5.80/2.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.03/2.34
% 6.03/2.34 Inference rules
% 6.03/2.34 ----------------------
% 6.03/2.34 #Ref : 0
% 6.03/2.34 #Sup : 0
% 6.03/2.34 #Fact : 0
% 6.03/2.34 #Define : 0
% 6.03/2.34 #Split : 0
% 6.03/2.34 #Chain : 0
% 6.03/2.34 #Close : 0
% 6.03/2.34
% 6.03/2.34 Ordering : KBO
% 6.03/2.34
% 6.03/2.34 Simplification rules
% 6.03/2.34 ----------------------
% 6.03/2.34 #Subsume : 272
% 6.03/2.34 #Demod : 0
% 6.03/2.34 #Tautology : 0
% 6.03/2.34 #SimpNegUnit : 2
% 6.03/2.34 #BackRed : 0
% 6.03/2.34
% 6.03/2.34 #Partial instantiations: 0
% 6.03/2.34 #Strategies tried : 1
% 6.03/2.34
% 6.03/2.34 Timing (in seconds)
% 6.03/2.34 ----------------------
% 6.03/2.35 Preprocessing : 1.18
% 6.03/2.35 Parsing : 0.61
% 6.03/2.35 CNF conversion : 0.08
% 6.03/2.35 Main loop : 0.12
% 6.03/2.35 Inferencing : 0.00
% 6.03/2.35 Reduction : 0.06
% 6.03/2.35 Demodulation : 0.04
% 6.03/2.35 BG Simplification : 0.07
% 6.03/2.35 Subsumption : 0.04
% 6.03/2.35 Abstraction : 0.02
% 6.03/2.35 MUC search : 0.00
% 6.03/2.35 Cooper : 0.00
% 6.03/2.35 Total : 1.34
% 6.03/2.35 Index Insertion : 0.00
% 6.03/2.35 Index Deletion : 0.00
% 6.03/2.35 Index Matching : 0.00
% 6.03/2.35 BG Taut test : 0.00
%------------------------------------------------------------------------------