%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV982-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:36:25 AM UTC 2025
% Result : Unsatisfiable 0.22s 0.52s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 45 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 204 ( 104 ~; 81 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-8 aty)
% Number of variables : 289 ( 255 !; 0 ?; 289 :)
% Comments :
%------------------------------------------------------------------------------
tff(hBOOL_type,type,
hBOOL: $i > $o ).
tff(hAPP_type,type,
hAPP: ( $i * $i ) > $i ).
tff(v_T_____type,type,
v_T____: $i ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1_type,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(v_a_______type,type,
v_a______: $i ).
tff(v_e_092_060_094isub_0622_______type,type,
v_e_092_060_094isub_0622______: $i ).
tff(c_Expr_Oexp_Othrow_type,type,
c_Expr_Oexp_Othrow: ( $i * $i ) > $i ).
tff(tc_List_Olist_type,type,
tc_List_Olist: $i > $i ).
tff(tc_String_Ochar_type,type,
tc_String_Ochar: $i ).
tff(c_Expr_Oexp_OVal_type,type,
c_Expr_Oexp_OVal: ( $i * $i ) > $i ).
tff(c_Value_Oval_OAddr_type,type,
c_Value_Oval_OAddr: $i > $i ).
tff(v_aa_______type,type,
v_aa______: $i ).
tff(v_V_______type,type,
v_V______: $i ).
tff(v_P_type,type,
v_P: $i ).
tff(v_E_____type,type,
v_E____: $i ).
tff(v_C_______type,type,
v_C______: $i ).
tff(c_TypeRel_Owiden_type,type,
c_TypeRel_Owiden: ( $i * $i ) > $i ).
tff(tc_prod_type,type,
tc_prod: ( $i * $i ) > $i ).
tff(tc_Expr_Oexp_type,type,
tc_Expr_Oexp: $i > $i ).
tff(c_WellTypeRT_OWTrt_type,type,
c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_Expr_Oexp_OTryCatch_type,type,
c_Expr_Oexp_OTryCatch: ( $i * $i * $i * $i * $i ) > $i ).
tff(1,plain,
( c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
<=> c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RedTryFail_I4_J_0) ).
tff(3,plain,
c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
refl(( ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) )
<=> ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) )
<=> ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) )
<=> ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
^ [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
rewrite(( ( 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) )
<=> ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ) )),
inference(bind,[status(th)],[]) ).
tff(8,plain,
( ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) )
<=> ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_2) ).
tff(10,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) )
<=> ( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| 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__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)),V_T)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
^ [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
refl(( ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) )
<=> ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ) )),
inference(bind,[status(th)],[]) ).
tff(19,plain,
( ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) )
<=> ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) )
<=> ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
^ [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
rewrite(( ( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) )
<=> ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ) )),
inference(bind,[status(th)],[]) ).
tff(22,plain,
( ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) )
<=> ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,axiom,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_0) ).
tff(24,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)) )
<=> ( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,plain,
( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(30,plain,
( ~ ! [V_E: $i,V_V: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_h: $i,V_P: $i,V_C: $i] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h)) )
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
| c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),
inference(unit_resolution,[status(thm)],[30,27,3]) ).
tff(32,plain,
^ [V_x: $i] :
refl(( ( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ) )),
inference(bind,[status(th)],[]) ).
tff(33,plain,
( ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) )
<=> ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) )
<=> ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
^ [V_x: $i] :
rewrite(( ( ~ 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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_x) )
<=> ( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ) )),
inference(bind,[status(th)],[]) ).
tff(36,plain,
( ! [V_x: $i] :
( ~ 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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_x) )
<=> ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,axiom,
! [V_x: $i] :
( ~ 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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(38,plain,
! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ),
inference(modus_ponens,[status(thm)],[38,34]) ).
tff(40,plain,
! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ),
inference(skolemize,[status(sab)],[39]) ).
tff(41,plain,
! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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____)) ),
inference(modus_ponens,[status(thm)],[40,33]) ).
tff(42,plain,
( ( ~ ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))
| ~ 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) )
<=> ( ~ ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))
| ~ 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
( ~ ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))
| ~ 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,plain,
( ~ ! [V_x: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))
| ~ 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__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),v_T____)) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
$false,
inference(unit_resolution,[status(thm)],[44,41,31,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV982-1 : TPTP v9.0.0. Released v4.1.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 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 : Fri Jun 20 11:13:35 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.22/0.52 % SZS status Unsatisfiable
% 0.22/0.52 % SZS output start Proof
% See solution above
% 0.22/0.55 % E exiting
%------------------------------------------------------------------------------