TSTP Solution File: SWV961-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV961-1 : 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 11:06:01 EDT 2023
% Result : Unsatisfiable 17.27s 5.47s
% Output : CNFRefutation 17.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 98
% Syntax : Number of formulae : 105 ( 8 unt; 94 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 234 ( 67 >; 167 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 2 prp; 0-6 aty)
% Number of functors : 76 ( 76 usr; 26 con; 0-8 aty)
% Number of variables : 3 (; 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_TypeRel_Ohas__field > c_WellTypeRT_OWTrt > c_SmallStep_Oredp > c_Progress_OWTrt_H > c_List_Olist__all2 > c_Conform_Olconf > c_BigStep_Oevals > c_BigStep_Oeval > c_WellType_OWT > c_Map_Omap__le > c_in > c_TypeSafe__Mirabelle_Osconf > c_Decl_Ois__class > c_Conform_Ohconf > c_Objects_Ohext > hBOOL > c_Type_Ois__refT > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 > v_sko__local__XIH__1 > v_sko__local__XFAssRed2__Xhyps__2__1 > v_sko__local__XFAssRed2__2__1 > v_sko__CHAINED__1 > c_WellType_Osko__WellType__XWT__elim__cases__2__2 > c_WellType_Osko__WellType__XWT__elim__cases__2__1 > c_Fun_Ofun__upd > c_Expr_Oexp_OTryCatch > c_Expr_Oexp_OFAss > c_Conform_Osko__Conform__Xconfs__conv__map__1__1 > c_Conform_Osko__Conform__Xconf__def__1__1 > c_Wellfounded_Olex__prod > c_Recdef_Osame__fst > c_Pair > c_Map_Omap__add > c_Expr_Oexp_OFAcc > c_Expr_Oexp_OCond > c_Expr_Oexp_OCall > c_Expr_Oexp_OBlock > c_Expr_Oexp_OBinOp > c_List_Olist_OCons > c_Expr_Oexp_OWhile > c_Expr_Oexp_OSeq > c_Expr_Oexp_OLAss > c_Expr_Oexp_OCast > c_Conform_Oconf > c_Aux_Ofun__of > tc_prod > tc_fun > hAPP > c_TypeRel_Owiden > c_Transitive__Closure_Ortrancl > c_Option_Ooption_OSome > c_Objects_Otypeof__h > c_Expr_Oexp_Othrow > c_Expr_Oexp_Onew > c_Expr_Oexp_OVal > c_COMBI > #nlpp > tc_Option_Ooption > tc_List_Olist > tc_Expr_Oexp > c_fequal > c_Type_Oty_OClass > c_TypeRel_Osko__TypeRel__XClass__widen__1__1 > c_State_Ohp > c_SmallStep_Ored > v_v____ > v_thesis____ > v_la____ > v_l_Ha____ > v_ha____ > v_h_Ha____ > v_e_092_060_094isub_0622____ > v_e_092_060_094isub_0622_H____ > v_T____ > v_T_092_060_094isub_0622____ > v_TF____ > v_P > v_F____ > v_E____ > v_D____ > v_C____ > tc_nat > tc_Value_Oval > tc_Type_Oty > tc_String_Ochar > t_a > c_Value_Oval_OUnit > c_Value_Oval_ONull > c_Type_Oty_OVoid > c_Type_Oty_ONT > c_Type_Oty_OBoolean > c_Expr_Obop_OEq
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_Type_Oty,type,
tc_Type_Oty: $i ).
tff(c_WellType_Osko__WellType__XWT__elim__cases__2__1,type,
c_WellType_Osko__WellType__XWT__elim__cases__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Type_Oty_OClass,type,
c_Type_Oty_OClass: $i > $i ).
tff(c_Transitive__Closure_Ortrancl,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(tc_Expr_Oexp,type,
tc_Expr_Oexp: $i > $i ).
tff(c_Aux_Ofun__of,type,
c_Aux_Ofun__of: ( $i * $i * $i ) > $i ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Objects_Otypeof__h,type,
c_Objects_Otypeof__h: ( $i * $i ) > $i ).
tff(v_C____,type,
v_C____: $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Conform_Osko__Conform__Xconfs__conv__map__1__1,type,
c_Conform_Osko__Conform__Xconfs__conv__map__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_D____,type,
v_D____: $i ).
tff(v_P,type,
v_P: $i ).
tff(v_sko__local__XFAssRed2__2__1,type,
v_sko__local__XFAssRed2__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OTryCatch,type,
c_Expr_Oexp_OTryCatch: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OCall,type,
c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__local__XFAssRed2__Xhyps__2__1,type,
v_sko__local__XFAssRed2__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Option_Ooption_OSome,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(v_ha____,type,
v_ha____: $i ).
tff(v_thesis____,type,
v_thesis____: $o ).
tff(t_a,type,
t_a: $i ).
tff(v_e_092_060_094isub_0622_H____,type,
v_e_092_060_094isub_0622_H____: $i ).
tff(v_TF____,type,
v_TF____: $i ).
tff(c_SmallStep_Oredp,type,
c_SmallStep_Oredp: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OCond,type,
c_Expr_Oexp_OCond: ( $i * $i * $i * $i ) > $i ).
tff(tc_Option_Ooption,type,
tc_Option_Ooption: $i > $i ).
tff(v_l_Ha____,type,
v_l_Ha____: $i ).
tff(c_Type_Oty_ONT,type,
c_Type_Oty_ONT: $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_SmallStep_Ored,type,
c_SmallStep_Ored: $i > $i ).
tff(c_Map_Omap__add,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(c_Conform_Ohconf,type,
c_Conform_Ohconf: ( $i * $i * $i ) > $o ).
tff(c_TypeRel_Ohas__field,type,
c_TypeRel_Ohas__field: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(v_e_092_060_094isub_0622____,type,
v_e_092_060_094isub_0622____: $i ).
tff(c_Wellfounded_Olex__prod,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OBlock,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(c_Conform_Oconf,type,
c_Conform_Oconf: ( $i * $i * $i ) > $i ).
tff(c_BigStep_Oeval,type,
c_BigStep_Oeval: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_Conform_Osko__Conform__Xconf__def__1__1,type,
c_Conform_Osko__Conform__Xconf__def__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_Othrow,type,
c_Expr_Oexp_Othrow: ( $i * $i ) > $i ).
tff(c_Recdef_Osame__fst,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(c_WellType_OWT,type,
c_WellType_OWT: ( $i * $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_T_092_060_094isub_0622____,type,
v_T_092_060_094isub_0622____: $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Expr_Oexp_OFAss,type,
c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_COMBI,type,
c_COMBI: ( $i * $i ) > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(c_WellType_Osko__WellType__XWT__elim__cases__2__2,type,
c_WellType_Osko__WellType__XWT__elim__cases__2__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OWhile,type,
c_Expr_Oexp_OWhile: ( $i * $i * $i ) > $i ).
tff(c_List_Olist__all2,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_TypeRel_Osko__TypeRel__XClass__widen__1__1,type,
c_TypeRel_Osko__TypeRel__XClass__widen__1__1: $i > $i ).
tff(c_Fun_Ofun__upd,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OFAcc,type,
c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).
tff(c_Value_Oval_ONull,type,
c_Value_Oval_ONull: $i ).
tff(v_v____,type,
v_v____: $i ).
tff(c_Value_Oval_OUnit,type,
c_Value_Oval_OUnit: $i ).
tff(c_Expr_Oexp_Onew,type,
c_Expr_Oexp_Onew: ( $i * $i ) > $i ).
tff(c_Expr_Oexp_OVal,type,
c_Expr_Oexp_OVal: ( $i * $i ) > $i ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Type_Oty_OBoolean,type,
c_Type_Oty_OBoolean: $i ).
tff(c_BigStep_Oevals,type,
c_BigStep_Oevals: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_Map_Omap__le,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(c_Expr_Oexp_OBinOp,type,
c_Expr_Oexp_OBinOp: ( $i * $i * $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(v_h_Ha____,type,
v_h_Ha____: $i ).
tff(v_F____,type,
v_F____: $i ).
tff(v_sko__CHAINED__1,type,
v_sko__CHAINED__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OSeq,type,
c_Expr_Oexp_OSeq: ( $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OCast,type,
c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(c_Type_Ois__refT,type,
c_Type_Ois__refT: $i > $o ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(c_State_Ohp,type,
c_State_Ohp: $i > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_Objects_Ohext,type,
c_Objects_Ohext: ( $i * $i ) > $o ).
tff(v_sko__local__XIH__1,type,
v_sko__local__XIH__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_TypeRel_Owiden,type,
c_TypeRel_Owiden: ( $i * $i ) > $i ).
tff(c_Type_Oty_OVoid,type,
c_Type_Oty_OVoid: $i ).
tff(c_WellTypeRT_OWTrt,type,
c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).
tff(v_T____,type,
v_T____: $i ).
tff(tc_String_Ochar,type,
tc_String_Ochar: $i ).
tff(v_E____,type,
v_E____: $i ).
tff(c_Expr_Oexp_OLAss,type,
c_Expr_Oexp_OLAss: ( $i * $i * $i ) > $i ).
tff(c_Progress_OWTrt_H,type,
c_Progress_OWTrt_H: ( $i * $i * $i * $i * $i ) > $o ).
tff(tc_Value_Oval,type,
tc_Value_Oval: $i ).
tff(v_la____,type,
v_la____: $i ).
tff(c_Expr_Obop_OEq,type,
c_Expr_Obop_OEq: $i ).
tff(c_TypeSafe__Mirabelle_Osconf,type,
c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).
tff(c_Decl_Ois__class,type,
c_Decl_Ois__class: ( $i * $i * $i ) > $o ).
tff(c_Conform_Olconf,type,
c_Conform_Olconf: ( $i * $i * $i * $i * $i ) > $o ).
tff(f_2490,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
file(unknown,unknown) ).
tff(f_2489,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
file(unknown,unknown) ).
tff(f_2492,axiom,
~ v_thesis____,
file(unknown,unknown) ).
tff(f_2477,axiom,
! [V_T_092_060_094isub_0622_H] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_092_060_094isub_0622_H),v_T_092_060_094isub_0622____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,V_T_092_060_094isub_0622_H) ),
file(unknown,unknown) ).
tff(c_1086,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
inference(cnfTransformation,[status(thm)],[f_2490]) ).
tff(c_1084,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
inference(cnfTransformation,[status(thm)],[f_2489]) ).
tff(c_1088,plain,
~ v_thesis____,
inference(cnfTransformation,[status(thm)],[f_2492]) ).
tff(c_1076,plain,
! [V_T_092_060_094isub_0622_H_3031] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,V_T_092_060_094isub_0622_H_3031)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_092_060_094isub_0622_H_3031),v_T_092_060_094isub_0622____))
| v_thesis____ ),
inference(cnfTransformation,[status(thm)],[f_2477]) ).
tff(c_5464,plain,
! [V_T_092_060_094isub_0622_H_5200] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,V_T_092_060_094isub_0622_H_5200)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_092_060_094isub_0622_H_5200),v_T_092_060_094isub_0622____)) ),
inference(negUnitSimplification,[status(thm)],[c_1088,c_1076]) ).
tff(c_5467,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
inference(resolution,[status(thm)],[c_1084,c_5464]) ).
tff(c_5479,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1086,c_5467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV961-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n003.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 22:42:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 17.27/5.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.27/5.47
% 17.27/5.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.27/5.50
% 17.27/5.50 Inference rules
% 17.27/5.50 ----------------------
% 17.27/5.50 #Ref : 60
% 17.27/5.50 #Sup : 1042
% 17.27/5.50 #Fact : 0
% 17.27/5.50 #Define : 0
% 17.27/5.50 #Split : 6
% 17.27/5.50 #Chain : 0
% 17.27/5.50 #Close : 0
% 17.27/5.50
% 17.27/5.50 Ordering : KBO
% 17.27/5.50
% 17.27/5.50 Simplification rules
% 17.27/5.50 ----------------------
% 17.27/5.50 #Subsume : 495
% 17.27/5.50 #Demod : 278
% 17.27/5.50 #Tautology : 310
% 17.27/5.50 #SimpNegUnit : 14
% 17.27/5.50 #BackRed : 7
% 17.27/5.50
% 17.27/5.50 #Partial instantiations: 0
% 17.27/5.50 #Strategies tried : 1
% 17.27/5.50
% 17.27/5.50 Timing (in seconds)
% 17.27/5.50 ----------------------
% 17.27/5.50 Preprocessing : 2.13
% 17.27/5.50 Parsing : 1.20
% 17.27/5.50 CNF conversion : 0.12
% 17.27/5.50 Main loop : 2.30
% 17.27/5.50 Inferencing : 0.57
% 17.27/5.50 Reduction : 0.96
% 17.27/5.50 Demodulation : 0.68
% 17.27/5.50 BG Simplification : 0.15
% 17.27/5.50 Subsumption : 0.55
% 17.27/5.50 Abstraction : 0.05
% 17.27/5.50 MUC search : 0.00
% 17.27/5.50 Cooper : 0.00
% 17.27/5.50 Total : 4.48
% 17.27/5.50 Index Insertion : 0.00
% 17.27/5.50 Index Deletion : 0.00
% 17.27/5.50 Index Matching : 0.00
% 17.27/5.50 BG Taut test : 0.00
%------------------------------------------------------------------------------