TSTP Solution File: SWV948-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV948-1 : 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 : n012.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 21:48:43 EDT 2023
% Result : Unsatisfiable 1.45s 1.55s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 77
% Syntax : Number of formulae : 103 ( 15 unt; 65 typ; 0 def)
% Number of atoms : 72 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 38 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 188 ( 47 >; 141 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-5 aty)
% Number of functors : 53 ( 53 usr; 18 con; 0-21 aty)
% Number of variables : 96 ( 20 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
tc_Type_Oty: $i ).
tff(decl_24,type,
c_Option_Ooption_OSome: ( $i * $i ) > $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_OVar: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Progress_OWTrt_H: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_29,type,
c_WellType_OWT: ( $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
c_Type_Othis: $i ).
tff(decl_31,type,
c_Expr_Oexp_OLAss: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
c_Expr_Oexp_OCond: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Expr_Oexp_Othrow: ( $i * $i ) > $i ).
tff(decl_35,type,
c_Expr_Oexp_OSeq: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Expr_Oexp_OTryCatch: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Expr_Oexp_OWhile: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_SmallStep_Oredp: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_42,type,
c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Expr_Oexp_Onew: ( $i * $i ) > $i ).
tff(decl_44,type,
c_Expr_Oexp_Oexp__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Expr_Oexp_OBinOp: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Expr_Oexp_OVal: ( $i * $i ) > $i ).
tff(decl_48,type,
c_Expr_Oexp_Oexp__rec__1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
tc_Expr_Oexp: $i > $i ).
tff(decl_50,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_51,type,
c_TypeRel_Owiden: ( $i * $i ) > $i ).
tff(decl_52,type,
hBOOL: $i > $o ).
tff(decl_53,type,
c_Type_Oty_OBoolean: $i ).
tff(decl_54,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(decl_55,type,
c_DefAss_O_092_060D_062: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
c_Type_Oty_OVoid: $i ).
tff(decl_57,type,
c_COMBI: ( $i * $i ) > $i ).
tff(decl_58,type,
c_fequal: $i > $i ).
tff(decl_59,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_60,type,
c_Objects_Ohext: ( $i * $i ) > $o ).
tff(decl_61,type,
c_Conform_Oconf: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_62,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
v_P: $i ).
tff(decl_65,type,
v_E____: $i ).
tff(decl_66,type,
v_a______: $i ).
tff(decl_67,type,
v_b______: $i ).
tff(decl_68,type,
tc_nat: $i ).
tff(decl_69,type,
tc_Value_Oval: $i ).
tff(decl_70,type,
tc_Option_Ooption: $i > $i ).
tff(decl_71,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_72,type,
c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
v_aa______: $i ).
tff(decl_75,type,
v_e_Ha______: $i ).
tff(decl_76,type,
v_sko__local__XLAssRed__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
v_ea______: $i ).
tff(decl_78,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
v_sko__local__XLAssRed__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
t_a: $i ).
tff(decl_81,type,
v_V______: $i ).
tff(decl_82,type,
v_T____: $i ).
tff(decl_83,type,
v_sko__CHAINED__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
v_ba______: $i ).
tff(decl_85,type,
c_SmallStep_Ored: $i > $i ).
tff(decl_86,type,
c_in: ( $i * $i * $i ) > $o ).
cnf(cls_WTrt__elim__cases_I1_J_0,axiom,
( X1 = c_Type_Oty_OVoid
| ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OLAss(X5,X6,tc_List_Olist(tc_String_Ochar)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_0) ).
cnf(cls_LAssRed_I4_J_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_ea______,tc_List_Olist(tc_String_Ochar)),v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_LAssRed_I4_J_0) ).
cnf(cls_WTrt__elim__cases_I1_J_3,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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X2,X1,X3,X4,X5)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X2,X1,X3,X4,X5)))
| ~ c_WellTypeRT_OWTrt(X1,X4,X2,c_Expr_Oexp_OLAss(X5,X3,tc_List_Olist(tc_String_Ochar)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_3) ).
cnf(cls_widen__trans_0,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X5),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__trans_0) ).
cnf(cls_LAssRed_Ohyps_I2_J_1,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_sko__local__XLAssRed__Xhyps__2__1(X1,v_P,X2,v_aa______,v_e_Ha______)),X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_a______,v_b______,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/sandbox/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_1) ).
cnf(cls_LAssRed_I3_J_0,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_a______,v_b______,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/sandbox/benchmark/theBenchmark.p',cls_LAssRed_I3_J_0) ).
cnf(cls_WTrt__elim__cases_I1_J_2,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X3,X1,X4,X2,X5))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X5,X4,tc_List_Olist(tc_String_Ochar)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_2) ).
cnf(cls_WTrt__elim__cases_I1_J_1,axiom,
( hAPP(X1,X2) = c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X1,X3,X4,X5,X2),tc_Type_Oty)
| ~ c_WellTypeRT_OWTrt(X3,X5,X1,c_Expr_Oexp_OLAss(X2,X4,tc_List_Olist(tc_String_Ochar)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_1) ).
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____))
| ~ c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_e_Ha______,tc_List_Olist(tc_String_Ochar)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).
cnf(cls_WTrtLAss_0,axiom,
( c_WellTypeRT_OWTrt(X4,X5,X1,c_Expr_Oexp_OLAss(X2,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X3))
| ~ c_WellTypeRT_OWTrt(X4,X5,X1,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtLAss_0) ).
cnf(cls_LAssRed_Ohyps_I2_J_0,axiom,
( c_WellTypeRT_OWTrt(v_P,v_aa______,X1,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(X1,v_P,X2,v_aa______,v_e_Ha______))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_a______,v_b______,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/sandbox/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_0) ).
cnf(c_0_12,axiom,
( X1 = c_Type_Oty_OVoid
| ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OLAss(X5,X6,tc_List_Olist(tc_String_Ochar)),X1) ),
cls_WTrt__elim__cases_I1_J_0 ).
cnf(c_0_13,axiom,
c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_ea______,tc_List_Olist(tc_String_Ochar)),v_T____),
cls_LAssRed_I4_J_0 ).
cnf(c_0_14,plain,
v_T____ = c_Type_Oty_OVoid,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X2,X1,X3,X4,X5)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X2,X1,X3,X4,X5)))
| ~ c_WellTypeRT_OWTrt(X1,X4,X2,c_Expr_Oexp_OLAss(X5,X3,tc_List_Olist(tc_String_Ochar)),X6) ),
cls_WTrt__elim__cases_I1_J_3 ).
cnf(c_0_16,plain,
c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_ea______,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X5),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
cls_widen__trans_0 ).
cnf(c_0_18,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(v_E____,v_P,v_ea______,v_a______,v_V______)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,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_sko__local__XLAssRed__Xhyps__2__1(X1,v_P,X2,v_aa______,v_e_Ha______)),X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_a______,v_b______,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_LAssRed_Ohyps_I2_J_1 ).
cnf(c_0_20,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_a______,v_b______,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_LAssRed_I3_J_0 ).
cnf(c_0_21,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X3,X1,X4,X2,X5))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X5,X4,tc_List_Olist(tc_String_Ochar)),X6) ),
cls_WTrt__elim__cases_I1_J_2 ).
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)))),X1),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______)))
| ~ 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),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(v_E____,v_P,v_ea______,v_a______,v_V______))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,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__local__XLAssRed__Xhyps__2__1(v_E____,v_P,X1,v_aa______,v_e_Ha______)),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(v_E____,v_P,v_ea______,v_a______,v_V______)),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,axiom,
( hAPP(X1,X2) = c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X1,X3,X4,X5,X2),tc_Type_Oty)
| ~ c_WellTypeRT_OWTrt(X3,X5,X1,c_Expr_Oexp_OLAss(X2,X4,tc_List_Olist(tc_String_Ochar)),X6) ),
cls_WTrt__elim__cases_I1_J_1 ).
cnf(c_0_26,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_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_e_Ha______,tc_List_Olist(tc_String_Ochar)),X1) ),
cls_conjecture_0 ).
cnf(c_0_27,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
cls_widen__refl_0 ).
cnf(c_0_28,axiom,
( c_WellTypeRT_OWTrt(X4,X5,X1,c_Expr_Oexp_OLAss(X2,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X3))
| ~ c_WellTypeRT_OWTrt(X4,X5,X1,X6,X7) ),
cls_WTrtLAss_0 ).
cnf(c_0_29,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__local__XLAssRed__Xhyps__2__1(v_E____,v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(v_E____,v_P,v_ea______,v_a______,v_V______),v_aa______,v_e_Ha______)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_30,plain,
c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______),tc_Type_Oty) = hAPP(v_E____,v_V______),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_31,axiom,
( c_WellTypeRT_OWTrt(v_P,v_aa______,X1,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(X1,v_P,X2,v_aa______,v_e_Ha______))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_a______,v_b______,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_LAssRed_Ohyps_I2_J_0 ).
cnf(c_0_32,negated_conjecture,
~ c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_e_Ha______,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( c_WellTypeRT_OWTrt(v_P,X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| hAPP(X2,X3) != hAPP(v_E____,v_V______)
| ~ c_WellTypeRT_OWTrt(v_P,X1,X2,X4,v_sko__local__XLAssRed__Xhyps__2__1(v_E____,v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(v_E____,v_P,v_ea______,v_a______,v_V______),v_aa______,v_e_Ha______)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,plain,
( c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(v_E____,v_P,X1,v_aa______,v_e_Ha______))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_20]) ).
cnf(c_0_35,negated_conjecture,
~ c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_e_Ha______,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(rw,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_36,plain,
( c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,c_Expr_Oexp_OLAss(X1,v_e_Ha______,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| hAPP(v_E____,X1) != hAPP(v_E____,v_V______) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24])]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV948-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 06:43:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 1.45/1.55 % Version : CSE_E---1.5
% 1.45/1.55 % Problem : theBenchmark.p
% 1.45/1.55 % Proof found
% 1.45/1.55 % SZS status Theorem for theBenchmark.p
% 1.45/1.55 % SZS output start Proof
% See solution above
% 1.45/1.55 % Total time : 0.972000 s
% 1.45/1.55 % SZS output end Proof
% 1.45/1.56 % Total time : 0.984000 s
%------------------------------------------------------------------------------