TSTP Solution File: SWV959-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV959-1 : 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 : n010.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 25.80s 11.30s
% Output : CNFRefutation 25.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 79
% Syntax : Number of formulae : 117 ( 23 unt; 68 typ; 0 def)
% Number of atoms : 96 ( 7 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 90 ( 43 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 212 ( 49 >; 163 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-6 aty)
% Number of functors : 56 ( 56 usr; 19 con; 0-21 aty)
% Number of variables : 103 (; 103 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_TypeRel_Ohas__field > c_WellTypeRT_OWTrt > c_SmallStep_Oredp > c_Progress_OWTrt_H > c_List_Olist__all2 > c_Conform_Oconf > c_WellType_OWT > c_Map_Omap__le > c_TypeSafe__Mirabelle_Osconf > c_DefAss_O_092_060D_062 > c_Objects_Ohext > hBOOL > c_Expr_Oexp_Oexp__rec__1 > c_Expr_Oexp_Oexp__case > v_sko__CHAINED__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 > v_sko__local__XIH__1 > v_sko__local__XFAssRed1__Xhyps__2__1 > v_sko__local__XFAssRed1__2__1 > c_Expr_Oexp_OTryCatch > c_Expr_Oexp_OFAss > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 > c_Pair > c_Expr_Oexp_OFAcc > c_Expr_Oexp_OCond > c_Expr_Oexp_OCall > c_Expr_Oexp_OBlock > c_Expr_Oexp_OBinOp > c_Expr_Oexp_OWhile > c_Expr_Oexp_OSeq > c_Expr_Oexp_OLAss > c_Expr_Oexp_OCast > tc_prod > tc_fun > hAPP > c_TypeRel_Owiden > c_Expr_Oexp_Othrow > c_Expr_Oexp_Onew > c_Expr_Oexp_OVar > c_Expr_Oexp_OVal > c_COMBI > #nlpp > tc_Option_Ooption > tc_List_Olist > tc_Expr_Oexp > c_fequal > c_Type_Oty_OClass > v_la____ > v_ha____ > v_h_Ha____ > v_ea____ > v_e_Ha____ > v_e_092_060_094isub_0622____ > v_T____ > v_P > v_F____ > v_E____ > v_D____ > tc_nat > tc_Value_Oval > tc_Type_Oty > tc_String_Ochar > t_a > c_Type_Oty_OVoid > c_Type_Oty_ONT > c_Type_Oty_OBoolean
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_Type_Oty,type,
tc_Type_Oty: $i ).
tff(c_Type_Oty_OClass,type,
c_Type_Oty_OClass: $i > $i ).
tff(v_sko__local__XFAssRed1__Xhyps__2__1,type,
v_sko__local__XFAssRed1__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(tc_Expr_Oexp,type,
tc_Expr_Oexp: $i > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(v_D____,type,
v_D____: $i ).
tff(v_P,type,
v_P: $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(c_Expr_Oexp_OVar,type,
c_Expr_Oexp_OVar: ( $i * $i ) > $i ).
tff(v_ha____,type,
v_ha____: $i ).
tff(c_Expr_Oexp_Oexp__rec__1,type,
c_Expr_Oexp_Oexp__rec__1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4: ( $i * $i * $i * $i ) > $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(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_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
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_Expr_Oexp_OBlock,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_Oexp__case,type,
c_Expr_Oexp_Oexp__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_Othrow,type,
c_Expr_Oexp_Othrow: ( $i * $i ) > $i ).
tff(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
tff(v_e_Ha____,type,
v_e_Ha____: $i ).
tff(c_WellType_OWT,type,
c_WellType_OWT: ( $i * $i * $i * $i ) > $o ).
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_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(v_sko__local__XFAssRed1__2__1,type,
v_sko__local__XFAssRed1__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OFAcc,type,
c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_Onew,type,
c_Expr_Oexp_Onew: ( $i * $i ) > $i ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OVal,type,
c_Expr_Oexp_OVal: ( $i * $i ) > $i ).
tff(c_Type_Oty_OBoolean,type,
c_Type_Oty_OBoolean: $i ).
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(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(v_ea____,type,
v_ea____: $i ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $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(v_sko__CHAINED__1,type,
v_sko__CHAINED__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $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(c_Conform_Oconf,type,
c_Conform_Oconf: ( $i * $i * $i * $i * $i ) > $o ).
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(c_DefAss_O_092_060D_062,type,
c_DefAss_O_092_060D_062: ( $i * $i * $i ) > $o ).
tff(tc_Value_Oval,type,
tc_Value_Oval: $i ).
tff(v_la____,type,
v_la____: $i ).
tff(c_TypeSafe__Mirabelle_Osconf,type,
c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).
tff(f_1384,axiom,
! [V_P,T_a,V_T] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
file(unknown,unknown) ).
tff(f_1259,axiom,
v_T____ = c_Type_Oty_OVoid,
file(unknown,unknown) ).
tff(f_1580,axiom,
! [V_x] :
( ~ 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_x),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x) ),
file(unknown,unknown) ).
tff(f_1574,axiom,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
file(unknown,unknown) ).
tff(f_1538,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file(unknown,unknown) ).
tff(f_1412,axiom,
! [V_F,V_e,V_v,V_T,V_P,V_D,V_h,V_E] :
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_1255,axiom,
! [V_F,V_e,V_v,V_T,V_P,V_D,V_h,V_E] :
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| 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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_F,V_e,V_v,V_T,V_P,V_D,V_h,V_E] :
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [V_F,V_e,V_v,V_T,V_P,V_D,V_h,V_E] :
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_TypeRel_Ohas__field(V_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_F,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_1566,axiom,
! [V_T_092_060_094isub_0622,V_TF,V_C] :
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ 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),V_TF))
| ~ c_TypeRel_Ohas__field(v_P,V_C,v_F____,V_TF,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(V_C)) ),
file(unknown,unknown) ).
tff(f_1234,axiom,
! [V_F,V_e,V_v,V_T,V_P,V_D,V_h,V_E] :
( ( V_T = c_Type_Oty_OVoid )
| ( V_T = c_Type_Oty_OVoid )
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(c_702,plain,
! [V_P_2327,T_a_2328,V_T_2329] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P_2327,T_a_2328),V_T_2329),V_T_2329)),
inference(cnfTransformation,[status(thm)],[f_1384]) ).
tff(c_650,plain,
v_T____ = c_Type_Oty_OVoid,
inference(cnfTransformation,[status(thm)],[f_1259]) ).
tff(c_768,plain,
! [V_x_2533] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x_2533)
| ~ 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_x_2533),v_T____)) ),
inference(cnfTransformation,[status(thm)],[f_1580]) ).
tff(c_1674,plain,
! [V_x_3852] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x_3852)
| ~ 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_x_3852),c_Type_Oty_OVoid)) ),
inference(demodulation,[status(thm),theory(equality)],[c_650,c_768]) ).
tff(c_1679,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(resolution,[status(thm)],[c_702,c_1674]) ).
tff(c_766,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(cnfTransformation,[status(thm)],[f_1574]) ).
tff(c_777,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(demodulation,[status(thm),theory(equality)],[c_650,c_766]) ).
tff(c_1741,plain,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT),
inference(splitLeft,[status(thm)],[c_777]) ).
tff(c_758,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(cnfTransformation,[status(thm)],[f_1538]) ).
tff(c_778,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(demodulation,[status(thm),theory(equality)],[c_650,c_758]) ).
tff(c_2428,plain,
! [V_F_4217,V_E_4214,V_P_4215,V_T_4211,V_h_4210,V_D_4212,V_v_4216,V_e_4213] :
( ~ c_WellTypeRT_OWTrt(V_P_4215,V_h_4210,V_E_4214,c_Expr_Oexp_OFAss(V_e_4213,V_F_4217,V_D_4212,V_v_4216,tc_List_Olist(tc_String_Ochar)),V_T_4211)
| c_WellTypeRT_OWTrt(V_P_4215,V_h_4210,V_E_4214,V_v_4216,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D_4212,V_E_4214,V_F_4217,V_P_4215,V_e_4213,V_h_4210,V_v_4216))
| c_WellTypeRT_OWTrt(V_P_4215,V_h_4210,V_E_4214,V_e_4213,c_Type_Oty_ONT) ),
inference(cnfTransformation,[status(thm)],[f_1412]) ).
tff(c_2449,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[status(thm)],[c_778,c_2428]) ).
tff(c_2464,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),
inference(negUnitSimplification,[status(thm)],[c_1741,c_2449]) ).
tff(c_3552,plain,
! [V_F_4384,V_E_4377,V_h_4383,V_e_4381,V_v_4380,V_P_4379,V_T_4382,V_D_4378] :
( ~ c_WellTypeRT_OWTrt(V_P_4379,V_h_4383,V_E_4377,c_Expr_Oexp_OFAss(V_e_4381,V_F_4384,V_D_4378,V_v_4380,tc_List_Olist(tc_String_Ochar)),V_T_4382)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P_4379,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D_4378,V_E_4377,V_F_4384,V_P_4379,V_e_4381,V_h_4383,V_v_4380)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D_4378,V_E_4377,V_F_4384,V_P_4379,V_e_4381,V_h_4383,V_v_4380)))
| c_WellTypeRT_OWTrt(V_P_4379,V_h_4383,V_E_4377,V_e_4381,c_Type_Oty_ONT) ),
inference(cnfTransformation,[status(thm)],[f_1255]) ).
tff(c_3577,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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[status(thm)],[c_778,c_3552]) ).
tff(c_3594,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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))),
inference(negUnitSimplification,[status(thm)],[c_1741,c_3577]) ).
tff(c_2511,plain,
! [V_e_4227,V_v_4225,V_P_4220,V_h_4226,V_E_4222,V_D_4224,V_F_4223,V_T_4221] :
( ~ c_WellTypeRT_OWTrt(V_P_4220,V_h_4226,V_E_4222,c_Expr_Oexp_OFAss(V_e_4227,V_F_4223,V_D_4224,V_v_4225,tc_List_Olist(tc_String_Ochar)),V_T_4221)
| c_WellTypeRT_OWTrt(V_P_4220,V_h_4226,V_E_4222,V_e_4227,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D_4224,V_E_4222,V_F_4223,V_P_4220,V_e_4227,V_h_4226,V_v_4225)))
| c_WellTypeRT_OWTrt(V_P_4220,V_h_4226,V_E_4222,V_e_4227,c_Type_Oty_ONT) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_2532,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[status(thm)],[c_778,c_2511]) ).
tff(c_2547,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))),
inference(negUnitSimplification,[status(thm)],[c_1741,c_2532]) ).
tff(c_3482,plain,
! [V_e_4364,V_v_4363,V_D_4369,V_h_4368,V_P_4365,V_E_4367,V_T_4366,V_F_4370] :
( ~ c_WellTypeRT_OWTrt(V_P_4365,V_h_4368,V_E_4367,c_Expr_Oexp_OFAss(V_e_4364,V_F_4370,V_D_4369,V_v_4363,tc_List_Olist(tc_String_Ochar)),V_T_4366)
| c_TypeRel_Ohas__field(V_P_4365,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D_4369,V_E_4367,V_F_4370,V_P_4365,V_e_4364,V_h_4368,V_v_4363),V_F_4370,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D_4369,V_E_4367,V_F_4370,V_P_4365,V_e_4364,V_h_4368,V_v_4363),V_D_4369,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(V_P_4365,V_h_4368,V_E_4367,V_e_4364,c_Type_Oty_ONT) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_3507,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[status(thm)],[c_778,c_3482]) ).
tff(c_3524,plain,
c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
inference(negUnitSimplification,[status(thm)],[c_1741,c_3507]) ).
tff(c_762,plain,
! [V_C_2532,V_T_092_060_094isub_0622_2530,V_TF_2531] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(V_C_2532))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622_2530)
| ~ c_TypeRel_Ohas__field(v_P,V_C_2532,v_F____,V_TF_2531,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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_2530),V_TF_2531))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(cnfTransformation,[status(thm)],[f_1566]) ).
tff(c_780,plain,
! [V_C_2532,V_T_092_060_094isub_0622_2530,V_TF_2531] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(V_C_2532))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622_2530)
| ~ c_TypeRel_Ohas__field(v_P,V_C_2532,v_F____,V_TF_2531,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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_2530),V_TF_2531))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(demodulation,[status(thm),theory(equality)],[c_650,c_762]) ).
tff(c_6815,plain,
! [V_T_092_060_094isub_0622_2530,V_C_2532,V_TF_2531] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622_2530)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(V_C_2532))
| ~ c_TypeRel_Ohas__field(v_P,V_C_2532,v_F____,V_TF_2531,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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_2530),V_TF_2531)) ),
inference(splitLeft,[status(thm)],[c_780]) ).
tff(c_10640,plain,
! [V_T_092_060_094isub_0622_2530] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622_2530)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| ~ 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_2530),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))) ),
inference(resolution,[status(thm)],[c_3524,c_6815]) ).
tff(c_22832,plain,
! [V_T_092_060_094isub_0622_5635] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622_5635)
| ~ 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_5635),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2547,c_10640]) ).
tff(c_22835,plain,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),
inference(resolution,[status(thm)],[c_3594,c_22832]) ).
tff(c_22859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2464,c_22835]) ).
tff(c_22860,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),
inference(splitRight,[status(thm)],[c_780]) ).
tff(c_638,plain,
! [V_D_2121,V_e_2117,V_v_2118,V_h_2122,V_P_2120,V_F_2116,V_E_2123,V_T_2119] :
( ~ c_WellTypeRT_OWTrt(V_P_2120,V_h_2122,V_E_2123,c_Expr_Oexp_OFAss(V_e_2117,V_F_2116,V_D_2121,V_v_2118,tc_List_Olist(tc_String_Ochar)),V_T_2119)
| ( c_Type_Oty_OVoid = V_T_2119 ) ),
inference(cnfTransformation,[status(thm)],[f_1234]) ).
tff(c_22909,plain,
v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____) = c_Type_Oty_OVoid,
inference(resolution,[status(thm)],[c_22860,c_638]) ).
tff(c_22911,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(demodulation,[status(thm),theory(equality)],[c_22909,c_22860]) ).
tff(c_22913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1679,c_22911]) ).
tff(c_22914,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),
inference(splitRight,[status(thm)],[c_777]) ).
tff(c_22962,plain,
v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____) = c_Type_Oty_OVoid,
inference(resolution,[status(thm)],[c_22914,c_638]) ).
tff(c_22994,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(demodulation,[status(thm),theory(equality)],[c_22962,c_22914]) ).
tff(c_22996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1679,c_22994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV959-1 : 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
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 23:06:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 25.80/11.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.80/11.31
% 25.80/11.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.98/11.34
% 25.98/11.34 Inference rules
% 25.98/11.34 ----------------------
% 25.98/11.34 #Ref : 38
% 25.98/11.34 #Sup : 6051
% 25.98/11.34 #Fact : 0
% 25.98/11.34 #Define : 0
% 25.98/11.34 #Split : 14
% 25.98/11.34 #Chain : 0
% 25.98/11.34 #Close : 0
% 25.98/11.34
% 25.98/11.34 Ordering : KBO
% 25.98/11.34
% 25.98/11.34 Simplification rules
% 25.98/11.34 ----------------------
% 25.98/11.34 #Subsume : 896
% 25.98/11.34 #Demod : 794
% 25.98/11.34 #Tautology : 269
% 25.98/11.34 #SimpNegUnit : 49
% 25.98/11.34 #BackRed : 11
% 25.98/11.34
% 25.98/11.34 #Partial instantiations: 0
% 25.98/11.34 #Strategies tried : 1
% 25.98/11.34
% 25.98/11.34 Timing (in seconds)
% 25.98/11.34 ----------------------
% 25.98/11.35 Preprocessing : 1.19
% 25.98/11.35 Parsing : 0.66
% 25.98/11.35 CNF conversion : 0.10
% 25.98/11.35 Main loop : 9.04
% 25.98/11.35 Inferencing : 2.85
% 25.98/11.35 Reduction : 3.71
% 25.98/11.35 Demodulation : 3.01
% 25.98/11.35 BG Simplification : 0.47
% 25.98/11.35 Subsumption : 1.64
% 25.98/11.35 Abstraction : 0.49
% 25.98/11.35 MUC search : 0.00
% 25.98/11.35 Cooper : 0.00
% 25.98/11.35 Total : 10.29
% 25.98/11.35 Index Insertion : 0.00
% 25.98/11.35 Index Deletion : 0.00
% 25.98/11.35 Index Matching : 0.00
% 25.98/11.35 BG Taut test : 0.00
%------------------------------------------------------------------------------