%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV989-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:55 PM UTC 2026
% Result : Unsatisfiable 4.69s 1.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 80 ( 25 unt; 7 def)
% Number of atoms : 236 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 321 ( 165 ~; 155 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-5 aty)
% Number of functors : 30 ( 30 usr; 19 con; 0-5 aty)
% Number of variables : 242 ( 0 sgn 242 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f212,axiom,
! [X0] :
( c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__prog__wwf__prog_0) ).
fof(f226,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Pair(X0,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_BigStep_Oeval(X4,X0,X1,X2,X3)
| ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_big__by__small_0) ).
fof(f378,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__preserves__type_1) ).
fof(f394,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__preserves__type_0) ).
fof(f472,axiom,
c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf_0) ).
fof(f502,axiom,
! [X2,X3,X0,X1,X4] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,X4)
| ~ c_WellType_OWT(X0,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).
fof(f511,negated_conjecture,
c_BigStep_Oeval(v_P,v_e,v_s,v_e_H,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f512,negated_conjecture,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f513,negated_conjecture,
c_WellType_OWT(v_P,v_E,v_e,v_T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f514,negated_conjecture,
! [X0] :
( ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_s_H),v_E,v_e_H,X0)
| ~ 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)))),X0),v_T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f517,definition,
sF0 = hAPP(c_State_Ohp,v_s_H),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f518,plain,
hAPP(c_State_Ohp,v_s_H) = sF0,
inference(reorient_equations,[],[f517]) ).
fof(f519,definition,
sF1 = tc_List_Olist(tc_String_Ochar),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f520,plain,
tc_List_Olist(tc_String_Ochar) = sF1,
inference(reorient_equations,[],[f519]) ).
fof(f521,definition,
sF2 = tc_List_Olist(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f522,plain,
tc_List_Olist(sF1) = sF2,
inference(reorient_equations,[],[f521]) ).
fof(f523,definition,
sF3 = tc_Expr_Oexp(sF1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f524,plain,
tc_Expr_Oexp(sF1) = sF3,
inference(reorient_equations,[],[f523]) ).
fof(f525,definition,
sF4 = tc_prod(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f526,plain,
tc_prod(sF2,sF3) = sF4,
inference(reorient_equations,[],[f525]) ).
fof(f527,definition,
sF5 = c_TypeRel_Owiden(v_P,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f528,plain,
c_TypeRel_Owiden(v_P,sF4) = sF5,
inference(reorient_equations,[],[f527]) ).
fof(f529,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF5,X0),v_T))
| ~ c_WellTypeRT_OWTrt(v_P,sF0,v_E,v_e_H,X0) ),
inference(definition_folding,[],[f514,f528,f526,f524,f520,f522,f520,f518]) ).
fof(f595,plain,
! [X0] :
( c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),tc_Expr_Oexp(sF1)))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(backward_demodulation,[],[f212,f520]) ).
fof(f609,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Pair(X0,X1,tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_BigStep_Oeval(X4,X0,X1,X2,X3)
| ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(backward_demodulation,[],[f226,f520]) ).
fof(f635,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),tc_Expr_Oexp(sF1)))
| c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(backward_demodulation,[],[f378,f520]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),tc_Expr_Oexp(sF1)))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(backward_demodulation,[],[f394,f520]) ).
fof(f681,plain,
c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(sF1),tc_Expr_Oexp(sF1))),
inference(backward_demodulation,[],[f472,f520]) ).
fof(f713,plain,
c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(sF1),sF3)),
inference(forward_demodulation,[],[f681,f524]) ).
fof(f739,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),sF3))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f651,f524]) ).
fof(f755,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),sF3))
| c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f635,f524]) ).
fof(f780,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Pair(X0,X1,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_BigStep_Oeval(X4,X0,X1,X2,X3)
| ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(forward_demodulation,[],[f609,f524]) ).
fof(f794,plain,
! [X0] :
( c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),sF3))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(forward_demodulation,[],[f595,f524]) ).
fof(f825,plain,
c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(sF2,sF3)),
inference(forward_demodulation,[],[f713,f522]) ).
fof(f840,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(sF2,sF3))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f739,f522]) ).
fof(f848,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(sF2,sF3))
| c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f755,f522]) ).
fof(f870,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(tc_List_Olist(sF1),tc_Expr_Oexp(sF1)))
| c_in(c_Pair(c_Pair(X0,X1,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_BigStep_Oeval(X4,X0,X1,X2,X3) ),
inference(forward_demodulation,[],[f780,f520]) ).
fof(f883,plain,
! [X0] :
( c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,tc_prod(sF2,sF3))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(forward_demodulation,[],[f794,f522]) ).
fof(f898,plain,
c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,sF4),
inference(forward_demodulation,[],[f825,f526]) ).
fof(f913,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f840,f526]) ).
fof(f921,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f848,f526]) ).
fof(f943,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(tc_List_Olist(sF1),sF3))
| c_in(c_Pair(c_Pair(X0,X1,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_BigStep_Oeval(X4,X0,X1,X2,X3) ),
inference(forward_demodulation,[],[f870,f524]) ).
fof(f954,plain,
! [X0] :
( c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,sF4)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
inference(forward_demodulation,[],[f883,f526]) ).
fof(f975,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(sF1),tc_Expr_Oexp(sF1))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f913,f520]) ).
fof(f976,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X1,tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5) ),
inference(forward_demodulation,[],[f921,f520]) ).
fof(f987,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(sF2,sF3))
| c_in(c_Pair(c_Pair(X0,X1,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_BigStep_Oeval(X4,X0,X1,X2,X3) ),
inference(forward_demodulation,[],[f943,f522]) ).
fof(f990,plain,
! [X0] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),tc_Expr_Oexp(sF1)))
| c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,sF4) ),
inference(forward_demodulation,[],[f954,f520]) ).
fof(f1002,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(sF1),sF3)),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f975,f524]) ).
fof(f1003,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(c_Pair(X6,X5,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X1,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5) ),
inference(forward_demodulation,[],[f976,f524]) ).
fof(f1010,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Pair(X0,X1,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,sF4)
| ~ c_BigStep_Oeval(X4,X0,X1,X2,X3) ),
inference(forward_demodulation,[],[f987,f526]) ).
fof(f1013,plain,
! [X0] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(tc_List_Olist(sF1),sF3))
| c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,sF4) ),
inference(forward_demodulation,[],[f990,f524]) ).
fof(f1021,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(sF2,sF3)),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f1002,f522]) ).
fof(f1027,plain,
! [X0] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,tc_prod(sF2,sF3))
| c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,sF4) ),
inference(forward_demodulation,[],[f1013,f522]) ).
fof(f1035,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,sF4),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(forward_demodulation,[],[f1021,f526]) ).
fof(f1039,plain,
! [X0] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,sF4) ),
inference(forward_demodulation,[],[f1027,f526]) ).
fof(f1047,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(c_Pair(X6,X5,tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(sF1),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,sF4),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5) ),
inference(forward_demodulation,[],[f1035,f520]) ).
fof(f1052,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(c_Pair(X6,X5,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X0),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval)))),tc_prod(sF3,tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(sF1,tc_fun(tc_prod(sF1,sF1),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(sF1,tc_Option_Ooption(tc_Value_Oval))))))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,sF4),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5) ),
inference(forward_demodulation,[],[f1047,f524]) ).
fof(f1061,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,sF4),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,sF4)
| ~ c_BigStep_Oeval(X0,X6,X5,X3,X4) ),
inference(resolution,[],[f1052,f1010]) ).
fof(f1062,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,sF4),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X2,X3,X4)),X2))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X5)
| ~ c_BigStep_Oeval(X0,X6,X5,X3,X4) ),
inference(forward_subsumption_resolution,[],[f1061,f1039]) ).
fof(f1063,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP(hAPP(sF5,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,X2,X3)),X1))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,sF4)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X4),X0,X5,X1)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,X4)
| ~ c_BigStep_Oeval(v_P,X5,X4,X2,X3) ),
inference(superposition,[],[f1062,f528]) ).
fof(f1064,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP(hAPP(sF5,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,X2,X3)),X1))
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X4),X0,X5,X1)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,X4)
| ~ c_BigStep_Oeval(v_P,X5,X4,X2,X3) ),
inference(forward_subsumption_resolution,[],[f1063,f898]) ).
fof(f1065,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_WellTypeRT_OWTrt(v_P,sF0,v_E,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,v_P,v_T,X3,X4))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,X0)
| ~ c_BigStep_Oeval(v_P,X2,X0,X3,X4)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X0),X1,X2,v_T) ),
inference(resolution,[],[f1064,f529]) ).
fof(f1067,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X0,sF4)
| ~ c_BigStep_Oeval(X0,X6,X5,X3,X1) ),
inference(resolution,[],[f1003,f1010]) ).
fof(f1068,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X1),X2,X3,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X0,X4,X3,X1))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| ~ c_BigStep_Oeval(X0,X6,X5,X3,X1) ),
inference(forward_subsumption_resolution,[],[f1067,f1039]) ).
fof(f1069,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_WellTypeRT_OWTrt(X0,sF0,X1,X2,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,X0,X3,X2,v_s_H))
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X0,sF4)
| ~ c_WellTypeRT_OWTrt(X0,hAPP(c_State_Ohp,X4),X1,X5,X3)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X4)
| ~ c_BigStep_Oeval(X0,X5,X4,X2,v_s_H) ),
inference(superposition,[],[f1068,f518]) ).
fof(f1074,plain,
! [X2,X3,X0,X1] :
( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,sF4)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X0),v_E,X1,v_T)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,X0)
| ~ c_BigStep_Oeval(v_P,X1,X0,v_e_H,v_s_H)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,X2)
| ~ c_BigStep_Oeval(v_P,X3,X2,v_e_H,v_s_H)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X2),v_E,X3,v_T) ),
inference(resolution,[],[f1069,f1065]) ).
fof(f1075,plain,
! [X2,X3,X0,X1] :
( ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X0),v_E,X1,v_T)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,X0)
| ~ c_BigStep_Oeval(v_P,X1,X0,v_e_H,v_s_H)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,X2)
| ~ c_BigStep_Oeval(v_P,X3,X2,v_e_H,v_s_H)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X2),v_E,X3,v_T) ),
inference(forward_subsumption_resolution,[],[f1074,f898]) ).
fof(f1077,definition,
( spl6_1
<=> ! [X2,X3] :
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,X2)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X2),v_E,X3,v_T)
| ~ c_BigStep_Oeval(v_P,X3,X2,v_e_H,v_s_H) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f1078,plain,
( ! [X2,X3] :
( ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,X2),v_E,X3,v_T)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,X2)
| ~ c_BigStep_Oeval(v_P,X3,X2,v_e_H,v_s_H) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1079,plain,
( spl6_1
| spl6_1 ),
inference(avatar_split_clause,[],[f1075,f1077,f1077]) ).
fof(f1080,plain,
( ! [X0,X1] :
( ~ c_BigStep_Oeval(v_P,X1,X0,v_e_H,v_s_H)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,X0)
| ~ c_WellType_OWT(v_P,v_E,X1,v_T) )
| ~ spl6_1 ),
inference(resolution,[],[f1078,f502]) ).
fof(f1084,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s)
| ~ c_WellType_OWT(v_P,v_E,v_e,v_T)
| ~ spl6_1 ),
inference(resolution,[],[f1080,f511]) ).
fof(f1085,plain,
( ~ c_WellType_OWT(v_P,v_E,v_e,v_T)
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f1084,f512]) ).
fof(f1086,plain,
( $false
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f1085,f513]) ).
fof(f1087,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f1086]) ).
cnf(s1,plain,
( spl6_1
| spl6_1 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s2,plain,
spl6_1,
inference(rat,[],[s1]) ).
cnf(s3,plain,
~ spl6_1,
inference(sat_conversion,[],[f1087]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
fof(f1088,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV989-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 13:07:34 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.69/1.51 % (146706)Input is clausal, will run a generic CNF schedule.
% 4.69/1.51 % (146713)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1462559953:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.69/1.51 % (146711)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3979458555:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.69/1.51 % (146715)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1736528268:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.69/1.51 % (146716)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2321215589:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.69/1.51 % (146714)lrs+10_1_sil=8000:sp=occurrence:random_seed=2379738335:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.69/1.51 % (146717)dis-21_1_sil=8000:lcm=predicate:random_seed=2464893829:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.69/1.51 % (146712)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4103929339:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.69/1.51 % (146714)Instruction limit reached!
% 4.69/1.51 % (146714)------------------------------
% 4.69/1.51 % (146714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146714)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146714)Termination reason: Instruction limit
% 4.69/1.51 % (146714)Termination phase: Saturation
% 4.69/1.51 % (146714)Time elapsed: 0.054 s
% 4.69/1.51 % (146714)Peak memory usage: 88 MB
% 4.69/1.51 % (146714)Instructions burned: 108 (million)
% 4.69/1.51 % (146717)Instruction limit reached!
% 4.69/1.51 % (146717)------------------------------
% 4.69/1.51 % (146717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146717)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146717)Termination reason: Instruction limit
% 4.69/1.51 % (146717)Termination phase: Saturation
% 4.69/1.51 % (146717)Time elapsed: 0.054 s
% 4.69/1.51 % (146717)Peak memory usage: 88 MB
% 4.69/1.51 % (146717)Instructions burned: 119 (million)
% 4.69/1.51 % (146715)Instruction limit reached!
% 4.69/1.51 % (146715)------------------------------
% 4.69/1.51 % (146715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146715)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146715)Termination reason: Instruction limit
% 4.69/1.51 % (146715)Termination phase: Saturation
% 4.69/1.51 % (146715)Time elapsed: 0.064 s
% 4.69/1.51 % (146715)Peak memory usage: 88 MB
% 4.69/1.51 % (146715)Instructions burned: 115 (million)
% 4.69/1.51 % (146716)Instruction limit reached!
% 4.69/1.51 % (146716)------------------------------
% 4.69/1.51 % (146716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146716)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146716)Termination reason: Instruction limit
% 4.69/1.51 % (146716)Termination phase: Saturation
% 4.69/1.51 % (146716)Time elapsed: 0.096 s
% 4.69/1.51 % (146716)Peak memory usage: 88 MB
% 4.69/1.51 % (146716)Instructions burned: 180 (million)
% 4.69/1.51 % (146725)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3950884440:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 4.69/1.51 % (146726)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4114696336:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 4.69/1.51 % (146725)Refutation not found, incomplete strategy
% 4.69/1.51 % (146725)------------------------------
% 4.69/1.51 % (146725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146725)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146725)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.51 % (146725)Time elapsed: 0.023 s
% 4.69/1.51 % (146725)Peak memory usage: 88 MB
% 4.69/1.51 % (146725)Instructions burned: 49 (million)
% 4.69/1.51 % (146727)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2793343386:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.69/1.51 % (146728)lrs+10_64_to=lpo:sil=8000:random_seed=2234527418:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.69/1.51 % (146726)Instruction limit reached!
% 4.69/1.51 % (146726)------------------------------
% 4.69/1.51 % (146726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146726)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146726)Termination reason: Instruction limit
% 4.69/1.51 % (146726)Termination phase: Saturation
% 4.69/1.51 % (146726)Time elapsed: 0.087 s
% 4.69/1.51 % (146726)Peak memory usage: 89 MB
% 4.69/1.51 % (146726)Instructions burned: 189 (million)
% 4.69/1.51 % (146727)Instruction limit reached!
% 4.69/1.51 % (146727)------------------------------
% 4.69/1.51 % (146727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146727)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146727)Termination reason: Instruction limit
% 4.69/1.51 % (146727)Termination phase: Saturation
% 4.69/1.51 % (146727)Time elapsed: 0.097 s
% 4.69/1.51 % (146727)Peak memory usage: 88 MB
% 4.69/1.51 % (146727)Instructions burned: 219 (million)
% 4.69/1.51 % (146728)Instruction limit reached!
% 4.69/1.51 % (146728)------------------------------
% 4.69/1.51 % (146728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146728)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146728)Termination reason: Instruction limit
% 4.69/1.51 % (146728)Termination phase: Saturation
% 4.69/1.51 % (146728)Time elapsed: 0.071 s
% 4.69/1.51 % (146728)Peak memory usage: 89 MB
% 4.69/1.51 % (146728)Instructions burned: 128 (million)
% 4.69/1.51 % (146713)First to succeed.
% 4.69/1.51 % (146713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-146706"
% 4.69/1.51 % (146733)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2721290575:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 4.69/1.51 % (146725)------------------------------
% 4.69/1.51 % (146725)------------------------------
% 4.69/1.51 % (146734)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3988726754:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.69/1.51 % (146735)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2824704021:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.69/1.51 % (146733)Instruction limit reached!
% 4.69/1.51 % (146733)------------------------------
% 4.69/1.51 % (146733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146733)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146733)Termination reason: Instruction limit
% 4.69/1.51 % (146733)Termination phase: Saturation
% 4.69/1.51 % (146733)Time elapsed: 0.082 s
% 4.69/1.51 % (146733)Peak memory usage: 88 MB
% 4.69/1.51 % (146733)Instructions burned: 194 (million)
% 4.69/1.51 % (146734)Instruction limit reached!
% 4.69/1.51 % (146734)------------------------------
% 4.69/1.51 % (146734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.51 % (146734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.51 % (146734)CaDiCaL version: 2.1.3
% 4.69/1.51 % (146734)Termination reason: Instruction limit
% 4.69/1.51 % (146734)Termination phase: Saturation
% 4.69/1.51 % (146734)Time elapsed: 0.065 s
% 4.69/1.51 % (146734)Peak memory usage: 89 MB
% 4.69/1.51 % (146734)Instructions burned: 158 (million)
% 4.69/1.51 % (146713)Refutation found. Thanks to Tanya!
% 4.69/1.51 % SZS status Unsatisfiable for theBenchmark
% 4.69/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.61 % (146713)------------------------------
% 0.19/1.61 % (146713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.61 % (146713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.61 % (146713)CaDiCaL version: 2.1.3
% 0.19/1.61 % (146713)Termination reason: Refutation
% 0.19/1.61 % (146713)Time elapsed: 0.472 s
% 0.19/1.61 % (146713)Peak memory usage: 134 MB
% 0.19/1.61 % (146713)Instructions burned: 1411 (million)
% 0.19/1.61 % (146713)------------------------------
% 0.19/1.61 % (146713)------------------------------
% 0.19/1.61 % (146706)Success in time 0.85 s
% 0.19/1.61 % Vampire exiting
%------------------------------------------------------------------------------