%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV990-1 : 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 : n015.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 3.28s 1.16s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 92 ( 49 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-5 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,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(f372,axiom,
! [X2,X3,X0,X1,X6,X4,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_WellTypeRT_OWTrt(X0,c_State_Ohp(X5),X2,X6,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X2,X5)
| c_WellTypeRT_OWTrt(X0,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,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(f399,axiom,
! [X2,X3,X0,X1,X6,X4,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_WellTypeRT_OWTrt(X0,c_State_Ohp(X5),X1,X6,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,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_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(f421,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(c_Pair(X4,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)))),c_Pair(X6,X2,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_TypeSafe__Mirabelle_Osconf(X0,X1,X3)
| ~ c_WellTypeRT_OWTrt(X0,c_State_Ohp(X3),X1,X4,X5)
| c_TypeSafe__Mirabelle_Osconf(X0,X1,X2)
| ~ 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__sconf_0) ).
fof(f438,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_WellTypeRT_OWTrt(X0,c_State_Ohp(X2),X1,X3,X4)
| c_TypeSafe__Mirabelle_Owf__config(X0,X1,X2,X3,X4)
| ~ c_TypeSafe__Mirabelle_Osconf(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_2) ).
fof(f450,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_TypeSafe__Mirabelle_Owf__config(X0,X1,X2,X3,X4)
| c_TypeSafe__Mirabelle_Osconf(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_0) ).
fof(f451,axiom,
c_in(c_Pair(c_Pair(v_e,v_s,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(v_e_H,v_s_H,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(v_P),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)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_reds_0) ).
fof(f452,axiom,
! [X2,X3,X0,X1,X4] :
( c_WellTypeRT_OWTrt(X0,c_State_Ohp(X1),X2,X3,X4)
| ~ c_TypeSafe__Mirabelle_Owf__config(X0,X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_1) ).
fof(f461,negated_conjecture,
c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s,v_e,v_T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f462,negated_conjecture,
! [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))
| ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f469,plain,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s),
inference(resolution,[],[f450,f461]) ).
fof(f605,plain,
! [X0,X1] :
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1)
| c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s_H)
| ~ 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)))) ),
inference(resolution,[],[f421,f451]) ).
fof(f609,plain,
! [X0,X1] :
( ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s)
| c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s_H) ),
inference(forward_subsumption_resolution,[],[f605,f189]) ).
fof(f612,plain,
! [X0,X1] :
( ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s)
| c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s_H),X0,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,v_e_H,v_s_H))
| ~ 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)))) ),
inference(resolution,[],[f372,f451]) ).
fof(f616,plain,
! [X0,X1] :
( c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s_H),X0,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,v_e_H,v_s_H))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1) ),
inference(forward_subsumption_resolution,[],[f612,f189]) ).
fof(f618,plain,
! [X0,X1] :
( ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,v_e_H,v_s_H)),X1))
| ~ 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)))) ),
inference(resolution,[],[f399,f451]) ).
fof(f622,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,v_e_H,v_s_H)),X1))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1) ),
inference(forward_subsumption_resolution,[],[f618,f189]) ).
fof(f683,plain,
! [X0,X1] :
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1)
| c_TypeSafe__Mirabelle_Owf__config(v_P,X0,v_s_H,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,v_e_H,v_s_H))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s_H) ),
inference(resolution,[],[f616,f438]) ).
fof(f685,plain,
! [X0,X1] :
( c_TypeSafe__Mirabelle_Owf__config(v_P,X0,v_s_H,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,X1,v_e_H,v_s_H))
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,X1)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s) ),
inference(forward_subsumption_resolution,[],[f683,f609]) ).
fof(f709,plain,
! [X0] :
( ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X0,v_P,v_T,v_e_H,v_s_H))
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X0,v_e,v_T)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,v_s) ),
inference(resolution,[],[f622,f462]) ).
fof(f737,plain,
( ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),v_E,v_e,v_T)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),v_E,v_e,v_T)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s) ),
inference(resolution,[],[f685,f709]) ).
fof(f739,plain,
( ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),v_E,v_e,v_T)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s) ),
inference(duplicate_literal_removal,[],[f737]) ).
fof(f740,plain,
~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),v_E,v_e,v_T),
inference(forward_subsumption_resolution,[],[f739,f469]) ).
fof(f741,plain,
~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s,v_e,v_T),
inference(resolution,[],[f740,f452]) ).
fof(f742,plain,
$false,
inference(forward_subsumption_resolution,[],[f741,f461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV990-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n015.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 13:10:02 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running first-order theorem proving
% 0.12/0.23 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
% 3.28/1.16 % (2614868)Input is clausal, will run a generic CNF schedule.
% 3.28/1.16 % (2614879)dis-21_1_sil=8000:lcm=predicate:random_seed=1731480254: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)
% 3.28/1.16 % (2614879)Instruction limit reached!
% 3.28/1.16 % (2614879)------------------------------
% 3.28/1.16 % (2614879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.16 % (2614879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.16 % (2614879)CaDiCaL version: 2.1.3
% 3.28/1.16 % (2614879)Termination reason: Instruction limit
% 3.28/1.16 % (2614879)Termination phase: Saturation
% 3.28/1.16 % (2614879)Time elapsed: 0.028 s
% 3.28/1.16 % (2614879)Peak memory usage: 88 MB
% 3.28/1.16 % (2614879)Instructions burned: 119 (million)
% 3.28/1.16 % (2614873)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=3673358685:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.28/1.16 % (2614876)lrs+10_1_sil=8000:sp=occurrence:random_seed=1039688896:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.28/1.16 % (2614874)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=234854709:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.28/1.16 % (2614875)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=31263600:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.28/1.16 % (2614878)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=244762929:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.28/1.16 % (2614877)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4173401658:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.28/1.16 % (2614876)First to succeed.
% 3.28/1.16 % (2614876)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2614868"
% 3.28/1.16 % (2614877)Instruction limit reached!
% 3.28/1.16 % (2614877)------------------------------
% 3.28/1.16 % (2614877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.16 % (2614877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.16 % (2614877)CaDiCaL version: 2.1.3
% 3.28/1.16 % (2614877)Termination reason: Instruction limit
% 3.28/1.16 % (2614877)Termination phase: Saturation
% 3.28/1.16 % (2614877)Time elapsed: 0.061 s
% 3.28/1.16 % (2614877)Peak memory usage: 88 MB
% 3.28/1.16 % (2614877)Instructions burned: 115 (million)
% 3.28/1.16 % (2614878)Instruction limit reached!
% 3.28/1.16 % (2614878)------------------------------
% 3.28/1.16 % (2614878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.16 % (2614878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.16 % (2614878)CaDiCaL version: 2.1.3
% 3.28/1.16 % (2614878)Termination reason: Instruction limit
% 3.28/1.16 % (2614878)Termination phase: Saturation
% 3.28/1.16 % (2614878)Time elapsed: 0.077 s
% 3.28/1.16 % (2614878)Peak memory usage: 88 MB
% 3.28/1.16 % (2614878)Instructions burned: 180 (million)
% 3.28/1.16 % (2614881)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=1053155:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.28/1.16 % (2614881)Refutation not found, incomplete strategy
% 3.28/1.16 % (2614881)------------------------------
% 3.28/1.16 % (2614881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.16 % (2614881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.16 % (2614881)CaDiCaL version: 2.1.3
% 3.28/1.16 % (2614881)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.16 % (2614881)Time elapsed: 0.004 s
% 3.28/1.16 % (2614881)Peak memory usage: 88 MB
% 3.28/1.16 % (2614881)Instructions burned: 13 (million)
% 3.28/1.16 % (2614888)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2373818260:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.28/1.16 % (2614890)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3172654282:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.28/1.16 % (2614881)------------------------------
% 3.28/1.16 % (2614881)------------------------------
% 3.28/1.16 % (2614888)Also succeeded, but the first one will report.
% 3.28/1.16 % (2614876)Refutation found. Thanks to Tanya!
% 3.28/1.16 % SZS status Unsatisfiable for theBenchmark
% 3.28/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.35 % (2614876)------------------------------
% 3.64/1.35 % (2614876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.35 % (2614876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.35 % (2614876)CaDiCaL version: 2.1.3
% 3.64/1.35 % (2614876)Termination reason: Refutation
% 3.64/1.35 % (2614876)Time elapsed: 0.024 s
% 3.64/1.35 % (2614876)Peak memory usage: 88 MB
% 3.64/1.35 % (2614876)Instructions burned: 40 (million)
% 3.64/1.35 % (2614876)------------------------------
% 3.64/1.35 % (2614876)------------------------------
% 3.64/1.35 % (2614868)Success in time 0.488 s
% 3.64/1.35 % Vampire exiting
%------------------------------------------------------------------------------