TSTP Solution File: SWV939-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV939-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 21:48:42 EDT 2023
% Result : Unsatisfiable 0.54s 0.66s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 117
% Syntax : Number of formulae : 123 ( 7 unt; 113 typ; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 262 ( 82 >; 180 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-8 aty)
% Number of functors : 91 ( 91 usr; 31 con; 0-8 aty)
% Number of variables : 3 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Objects_Ohext: ( $i * $i ) > $o ).
tff(decl_23,type,
tc_nat: $i ).
tff(decl_24,type,
tc_String_Ochar: $i ).
tff(decl_25,type,
tc_List_Olist: $i > $i ).
tff(decl_26,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_27,type,
tc_Value_Oval: $i ).
tff(decl_28,type,
tc_Option_Ooption: $i > $i ).
tff(decl_29,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
tc_Expr_Oexp: $i > $i ).
tff(decl_32,type,
c_SmallStep_Ored: $i > $i ).
tff(decl_33,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
c_Expr_Oexp_Othrow: ( $i * $i ) > $i ).
tff(decl_35,type,
c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Expr_Oexp_OVal: $i > $i ).
tff(decl_37,type,
c_Value_Oval_OAddr: $i > $i ).
tff(decl_38,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_39,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Expr_Oexp_OSeq: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
hBOOL: $i > $o ).
tff(decl_44,type,
c_Expr_Oexp_OTryCatch: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Progress_OWTrts_H: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_46,type,
c_WellTypeRT_OWTrts: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_47,type,
c_Expr_Oexp_Onew: ( $i * $i ) > $i ).
tff(decl_48,type,
c_WellType_OWTs: ( $i * $i * $i * $i ) > $o ).
tff(decl_49,type,
c_SmallStep_Oredp: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_50,type,
c_Expr_Oexp_OLAss: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
c_Expr_Oexp_OCond: ( $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
c_Progress_OWTrt_H: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_54,type,
c_Type_Ois__refT: $i > $o ).
tff(decl_55,type,
c_Objects_Otypeof__h: ( $i * $i ) > $i ).
tff(decl_56,type,
tc_Type_Oty: $i ).
tff(decl_57,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_58,type,
c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_59,type,
t_a: $i ).
tff(decl_60,type,
c_Type_Oty_Oty__case: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
v_sko__Type__Xty__Xsplit__1: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Type_Oty_OClass: $i > $i ).
tff(decl_63,type,
c_Type_Oty_OInteger: $i ).
tff(decl_64,type,
c_Type_Osko__Type__Xty__Xcase__cong__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
v_sko__Type__Xty__Xsplit__asm__1: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Type_Oty_ONT: $i ).
tff(decl_67,type,
c_Type_Oty_OVoid: $i ).
tff(decl_68,type,
c_WellType_OWT: ( $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
c_Type_Oty_OBoolean: $i ).
tff(decl_70,type,
c_Value_Oval_ONull: $i ).
tff(decl_71,type,
c_Value_Oval_OUnit: $i ).
tff(decl_72,type,
c_Value_Oval_OIntg: $i > $i ).
tff(decl_73,type,
c_Conform_Oconf: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_TypeRel_Owiden: ( $i * $i ) > $i ).
tff(decl_75,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
c_State_Ohp: $i > $i ).
tff(decl_78,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
c_Decl_Ois__class: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_81,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_84,type,
c_Value_Oval_Oval__rec: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_86,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_88,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_89,type,
c_TypeRel_OMethod: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_90,type,
c_Type_Othis: $i ).
tff(decl_91,type,
c_List_Olist__all: ( $i * $i * $i ) > $o ).
tff(decl_92,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(decl_95,type,
t_b: $i ).
tff(decl_96,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_COMBI: ( $i * $i ) > $i ).
tff(decl_98,type,
v_ha____: $i ).
tff(decl_99,type,
v_la____: $i ).
tff(decl_100,type,
v_a____: $i ).
tff(decl_101,type,
v_C____: $i ).
tff(decl_102,type,
v_fs____: $i ).
tff(decl_103,type,
c_SmallStep_Oblocks: $i > $i ).
tff(decl_104,type,
c_Value_Oval_Oval__case: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_Type_Oty_Oty__rec: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
c_fequal: $i > $i ).
tff(decl_108,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_109,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(decl_110,type,
c_TypeRel_Ohas__field: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_111,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_112,type,
c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
c_List_OListMem: ( $i * $i * $i ) > $o ).
tff(decl_115,type,
c_Value_Othe__Addr: $i > $i ).
tff(decl_116,type,
v_sko__TypeRel__Xwiden__Xcases__3: $i > $i ).
tff(decl_117,type,
v_sko__TypeRel__Xwiden__Xcases__2: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
v_sko__TypeRel__Xwiden__Xcases__1: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_120,type,
v_P: $i ).
tff(decl_121,type,
v_T_H_H____: $i ).
tff(decl_122,type,
v_T____: $i ).
tff(decl_123,type,
v_sko__TypeSafe__Mirabelle__Xwt__blocks__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
v_E____: $i ).
tff(decl_125,type,
v_pns____: $i ).
tff(decl_126,type,
v_Ts____: $i ).
tff(decl_127,type,
v_vs____: $i ).
tff(decl_128,type,
v_Ts_H____: $i ).
tff(decl_129,type,
v_M____: $i ).
tff(decl_130,type,
v_body____: $i ).
tff(decl_131,type,
v_D____: $i ).
tff(decl_132,type,
c_TypeRel_Osko__TypeRel__XClass__widen__1__1: $i > $i ).
tff(decl_133,type,
v_T_H____: $i ).
tff(decl_134,type,
tc_Int_Oint: $i ).
cnf(cls_conjecture_0,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_H____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_T_HisT_0,axiom,
v_T_H____ = v_T____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_HisT_0) ).
cnf(cls_CHAINED_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_T_H_HsubT_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_H_HsubT_0) ).
cnf(c_0_4,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_H____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X1) ),
cls_conjecture_0 ).
cnf(c_0_5,axiom,
v_T_H____ = v_T____,
cls_T_HisT_0 ).
cnf(c_0_6,negated_conjecture,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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)))),X1),v_T____)) ),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
cls_CHAINED_0 ).
cnf(c_0_8,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
cls_T_H_HsubT_0 ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV939-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:21:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.54/0.66 % Version : CSE_E---1.5
% 0.54/0.66 % Problem : theBenchmark.p
% 0.54/0.66 % Proof found
% 0.54/0.66 % SZS status Theorem for theBenchmark.p
% 0.54/0.66 % SZS output start Proof
% See solution above
% 0.54/0.66 % Total time : 0.063000 s
% 0.54/0.66 % SZS output end Proof
% 0.54/0.66 % Total time : 0.092000 s
%------------------------------------------------------------------------------