TSTP Solution File: SWV990-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV990-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:48:51 EDT 2023
% Result : Unsatisfiable 0.57s 0.82s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 99
% Syntax : Number of formulae : 121 ( 11 unt; 87 typ; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 105 ( 54 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 227 ( 72 >; 155 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-5 aty)
% Number of functors : 73 ( 73 usr; 15 con; 0-5 aty)
% Number of variables : 104 ( 9 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Value_Oval_OAddr: $i > $i ).
tff(decl_23,type,
c_Value_Oval_OUnit: $i ).
tff(decl_24,type,
c_Value_Oval_ONull: $i ).
tff(decl_25,type,
tc_String_Ochar: $i ).
tff(decl_26,type,
tc_List_Olist: $i > $i ).
tff(decl_27,type,
c_Expr_Oexp_OVal: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Expr_Oexp_Othrow: ( $i * $i ) > $i ).
tff(decl_29,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
tc_Expr_Oexp: $i > $i ).
tff(decl_31,type,
tc_nat: $i ).
tff(decl_32,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_33,type,
tc_Value_Oval: $i ).
tff(decl_34,type,
tc_Option_Ooption: $i > $i ).
tff(decl_35,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_36,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
c_SmallStep_Ored: $i > $i ).
tff(decl_38,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
c_Expr_Oexp_OLAss: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Expr_Oexp_OSeq: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Expr_Oexp_OWhile: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Expr_Oexp_OBinOp: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Expr_Oexp_OCond: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
c_Expr_Oexp_OTryCatch: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_50,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_52,type,
hBOOL: $i > $o ).
tff(decl_53,type,
v_sko__Wellfounded__Xacc__Xinduct__1: ( $i * $i ) > $i ).
tff(decl_54,type,
t_a: $i ).
tff(decl_55,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_57,type,
c_Objects_Ohext: ( $i * $i ) > $o ).
tff(decl_58,type,
c_Conform_Olconf: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_59,type,
c_Conform_Oconf: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
tc_Type_Oty: $i ).
tff(decl_61,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_62,type,
c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
v_sko__Wellfounded__Xacc__Xinducts__1: ( $i * $i ) > $i ).
tff(decl_64,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_65,type,
c_ATP__Linkup_Osko__Relation__XRange__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
c_ATP__Linkup_Osko__Relation__XRangeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
c_TypeRel_Owiden: ( $i * $i ) > $i ).
tff(decl_69,type,
c_Conform_Osko__Conform__Xconfs__conv__map__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
c_Conform_Ohconf: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
v_sko__TypeSafe__Mirabelle__XSubject__reduction__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
c_TypeSafe__Mirabelle_Owf__config: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_73,type,
c_JWellForm_Owf__J__mdecl: $i ).
tff(decl_74,type,
c_WellForm_Owf__prog: ( $i * $i * $i ) > $o ).
tff(decl_75,type,
v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_79,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_81,type,
v_P: $i ).
tff(decl_82,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_87,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_88,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
c_State_Ohp: $i > $i ).
tff(decl_90,type,
v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_92,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_93,type,
c_Product__Type_OSigma: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
v_sko__Transitive__Closure__Xrtrancl__Xcases__1: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
c_fequal: $i > $i ).
tff(decl_102,type,
c_COMBI: ( $i * $i ) > $i ).
tff(decl_103,type,
v_e: $i ).
tff(decl_104,type,
v_s: $i ).
tff(decl_105,type,
v_e_H: $i ).
tff(decl_106,type,
v_s_H: $i ).
tff(decl_107,type,
v_E: $i ).
tff(decl_108,type,
v_T: $i ).
cnf(cls_WTrt__hext__mono_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).
cnf(cls_wf__config__def_1,axiom,
( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,X5)
| ~ c_TypeSafe__Mirabelle_Owf__config(X1,X3,X2,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_1) ).
cnf(cls_Red__preserves__type_0,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,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(X2,X1,X3,X4,X5)),X3))
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X2,X7,X3)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X6)
| ~ c_in(c_Pair(c_Pair(X7,X6,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(X4,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)))),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(X1),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,X1,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) ).
cnf(cls_reds_0,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) ).
cnf(cls_wf_0,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) ).
cnf(cls_Red__preserves__type_1,axiom,
( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X3,X1,X5,X4,X2))
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X3,X7,X5)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X6)
| ~ c_in(c_Pair(c_Pair(X7,X6,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(X4,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(X1),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,X1,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) ).
cnf(cls_Red__preserves__sconf_0,axiom,
( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X4),X2,X5,X6)
| ~ c_in(c_Pair(c_Pair(X5,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)))),c_Pair(X7,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(X1),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,X1,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) ).
cnf(cls_conjecture_0,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) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ 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)))),X1),v_T))
| ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_wf__config__def_2,axiom,
( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X3),X2,X4,X5)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_2) ).
cnf(cls_wf__config__def_0,axiom,
( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
| ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_0) ).
cnf(cls_hext__refl_0,axiom,
c_Objects_Ohext(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).
cnf(c_0_12,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
cls_WTrt__hext__mono_0 ).
cnf(c_0_13,axiom,
( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,X5)
| ~ c_TypeSafe__Mirabelle_Owf__config(X1,X3,X2,X4,X5) ),
cls_wf__config__def_1 ).
cnf(c_0_14,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,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(X2,X1,X3,X4,X5)),X3))
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X2,X7,X3)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X6)
| ~ c_in(c_Pair(c_Pair(X7,X6,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(X4,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)))),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(X1),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,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
cls_Red__preserves__type_0 ).
cnf(c_0_15,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)))))),
cls_reds_0 ).
cnf(c_0_16,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)))),
cls_wf_0 ).
cnf(c_0_17,axiom,
( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X3,X1,X5,X4,X2))
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X3,X7,X5)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X6)
| ~ c_in(c_Pair(c_Pair(X7,X6,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(X4,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(X1),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,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
cls_Red__preserves__type_1 ).
cnf(c_0_18,axiom,
( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X4),X2,X5,X6)
| ~ c_in(c_Pair(c_Pair(X5,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)))),c_Pair(X7,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(X1),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,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
cls_Red__preserves__sconf_0 ).
cnf(c_0_19,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_TypeSafe__Mirabelle_Owf__config(X1,X3,X6,X4,X5)
| ~ c_Objects_Ohext(c_State_Ohp(X6),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s,v_e,v_T),
cls_conjecture_0 ).
cnf(c_0_21,negated_conjecture,
( ~ 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)))),X1),v_T))
| ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,X1) ),
cls_conjecture_1 ).
cnf(c_0_22,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,v_P,X2,v_e_H,v_s_H)),X2))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X1,v_e,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_23,axiom,
( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X3),X2,X4,X5)
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X3) ),
cls_wf__config__def_2 ).
cnf(c_0_24,plain,
( c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s_H),X1,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,v_P,X2,v_e_H,v_s_H))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X1,v_e,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16])]) ).
cnf(c_0_25,plain,
( c_TypeSafe__Mirabelle_Osconf(v_P,X1,v_s_H)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X1,v_e,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_16])]) ).
cnf(c_0_26,axiom,
( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
| ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5) ),
cls_wf__config__def_0 ).
cnf(c_0_27,negated_conjecture,
( c_WellTypeRT_OWTrt(v_P,X1,v_E,v_e,v_T)
| ~ c_Objects_Ohext(c_State_Ohp(v_s),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,axiom,
c_Objects_Ohext(X1,X1),
cls_hext__refl_0 ).
cnf(c_0_29,negated_conjecture,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,v_s)
| ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,v_P,v_T,v_e_H,v_s_H))
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X1,v_e,v_T) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
( c_TypeSafe__Mirabelle_Owf__config(v_P,X1,v_s_H,v_e_H,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X1,v_P,X2,v_e_H,v_s_H))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,v_s)
| ~ c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),X1,v_e,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_31,negated_conjecture,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_32,negated_conjecture,
c_WellTypeRT_OWTrt(v_P,c_State_Ohp(v_s),v_E,v_e,v_T),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV990-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 04:03:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.57/0.82 % Version : CSE_E---1.5
% 0.57/0.82 % Problem : theBenchmark.p
% 0.57/0.82 % Proof found
% 0.57/0.82 % SZS status Theorem for theBenchmark.p
% 0.57/0.82 % SZS output start Proof
% See solution above
% 0.57/0.83 % Total time : 0.195000 s
% 0.57/0.83 % SZS output end Proof
% 0.57/0.83 % Total time : 0.233000 s
%------------------------------------------------------------------------------