TSTP Solution File: SWV948-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV948-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 22:43:10 EDT 2023
% Result : Unsatisfiable 73.41s 10.79s
% Output : CNFRefutation 73.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of clauses : 47 ( 10 unt; 0 nHn; 43 RR)
% Number of literals : 106 ( 27 equ; 62 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-5 aty)
% Number of variables : 86 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( hAPP(X0,X1) != c_Option_Ooption_OSome(X2,tc_Type_Oty)
| c_Progress_OWTrt_H(X3,X4,X0,c_Expr_Oexp_OVar(X1,tc_List_Olist(tc_String_Ochar)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I4_J_0) ).
cnf(c_117,plain,
( ~ c_Progress_OWTrt_H(X0,X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
| X5 = c_Type_Oty_OVoid ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__elim__cases_0) ).
cnf(c_143,plain,
( ~ 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)))),X1),X2))
| ~ c_Progress_OWTrt_H(X0,X3,X4,c_Expr_Oexp_OVar(X5,tc_List_Olist(tc_String_Ochar)),X2)
| ~ c_Progress_OWTrt_H(X0,X3,X4,X6,X1)
| c_Progress_OWTrt_H(X0,X3,X4,c_Expr_Oexp_OLAss(X5,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I7_J_0) ).
cnf(c_348,plain,
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/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_I3_J_0) ).
cnf(c_351,plain,
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
| c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X2,X0,X4,X1,X3),tc_Type_Oty) = hAPP(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_1) ).
cnf(c_370,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X0,v_ea______,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__local__XLAssRed__Xhyps__2__1(X0,v_P,X1,v_aa______,v_e_Ha______)),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_1) ).
cnf(c_372,plain,
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X2,X0,X4,X1,X3)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X2,X0,X4,X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_3) ).
cnf(c_376,plain,
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,X4)
| c_Progress_OWTrt_H(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).
cnf(c_377,plain,
( ~ c_Progress_OWTrt_H(X0,X1,X2,X3,X4)
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).
cnf(c_385,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X0,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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X0,v_ea______,X1)
| c_WellTypeRT_OWTrt(v_P,v_aa______,X0,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(X0,v_P,X1,v_aa______,v_e_Ha______)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_0) ).
cnf(c_387,plain,
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
| c_WellTypeRT_OWTrt(X0,X1,X2,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X2,X0,X4,X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_2) ).
cnf(c_388,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
cnf(c_389,plain,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X3),X4))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).
cnf(c_406,plain,
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/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_411,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)))),X0),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)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_1843,plain,
( 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))) != 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)))
| X0 != v_E____
| v_P != v_P
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X0,v_ea______,X1)
| c_WellTypeRT_OWTrt(v_P,v_aa______,X0,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(X0,v_P,X1,v_aa______,v_e_Ha______)) ),
inference(resolution_lifted,[status(thm)],[c_348,c_385]) ).
cnf(c_1844,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,X0)
| c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(v_E____,v_P,X0,v_aa______,v_e_Ha______)) ),
inference(unflattening,[status(thm)],[c_1843]) ).
cnf(c_1861,plain,
( 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))) != 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)))
| X0 != v_E____
| v_P != v_P
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X0,v_ea______,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__local__XLAssRed__Xhyps__2__1(X0,v_P,X1,v_aa______,v_e_Ha______)),X1)) ),
inference(resolution_lifted,[status(thm)],[c_348,c_370]) ).
cnf(c_1862,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,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)))),v_sko__local__XLAssRed__Xhyps__2__1(v_E____,v_P,X0,v_aa______,v_e_Ha______)),X0)) ),
inference(unflattening,[status(thm)],[c_1861]) ).
cnf(c_2116,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,X0)
| c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(v_E____,v_P,X0,v_aa______,v_e_Ha______)) ),
inference(prop_impl_just,[status(thm)],[c_1844]) ).
cnf(c_2120,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,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)))),v_sko__local__XLAssRed__Xhyps__2__1(v_E____,v_P,X0,v_aa______,v_e_Ha______)),X0)) ),
inference(prop_impl_just,[status(thm)],[c_1862]) ).
cnf(c_2896,plain,
X0 = X0,
theory(equality) ).
cnf(c_2898,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_5401,plain,
( ~ 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____)
| 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(instantiation,[status(thm)],[c_351]) ).
cnf(c_5402,plain,
( ~ 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____)
| 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(instantiation,[status(thm)],[c_387]) ).
cnf(c_5409,plain,
( ~ 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____)
| 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(instantiation,[status(thm)],[c_372]) ).
cnf(c_5765,plain,
~ 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(superposition,[status(thm)],[c_388,c_411]) ).
cnf(c_5886,plain,
c_Progress_OWTrt_H(v_P,v_a______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_ea______,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(superposition,[status(thm)],[c_406,c_376]) ).
cnf(c_5916,plain,
c_Type_Oty_OVoid = v_T____,
inference(superposition,[status(thm)],[c_5886,c_117]) ).
cnf(c_5921,plain,
~ 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(superposition,[status(thm)],[c_5916,c_5765]) ).
cnf(c_5981,plain,
( hAPP(X0,X1) != X2
| c_Option_Ooption_OSome(X3,tc_Type_Oty) != X2
| hAPP(X0,X1) = c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
inference(instantiation,[status(thm)],[c_2898]) ).
cnf(c_8186,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______))
| 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__2(v_E____,v_P,v_ea______,v_a______,v_V______))) ),
inference(instantiation,[status(thm)],[c_2120]) ).
cnf(c_8189,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______))
| c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,v_e_Ha______,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(instantiation,[status(thm)],[c_2116]) ).
cnf(c_8390,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______)
| hAPP(X0,X1) != hAPP(v_E____,v_V______)
| hAPP(X0,X1) = 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) ),
inference(instantiation,[status(thm)],[c_5981]) ).
cnf(c_13592,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,v_e_Ha______,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_Progress_OWTrt_H(v_P,v_aa______,v_E____,v_e_Ha______,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(instantiation,[status(thm)],[c_376]) ).
cnf(c_15354,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______)
| hAPP(v_E____,v_V______) != hAPP(v_E____,v_V______)
| hAPP(v_E____,v_V______) = 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) ),
inference(instantiation,[status(thm)],[c_8390]) ).
cnf(c_15355,plain,
hAPP(v_E____,v_V______) = hAPP(v_E____,v_V______),
inference(instantiation,[status(thm)],[c_2896]) ).
cnf(c_17403,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______)),X0))
| ~ c_Progress_OWTrt_H(v_P,v_aa______,v_E____,v_e_Ha______,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_Progress_OWTrt_H(v_P,v_aa______,v_E____,c_Expr_Oexp_OVar(X1,tc_List_Olist(tc_String_Ochar)),X0)
| c_Progress_OWTrt_H(v_P,v_aa______,v_E____,c_Expr_Oexp_OLAss(X1,v_e_Ha______,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_17557,plain,
( hAPP(v_E____,v_V______) != 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)
| c_Progress_OWTrt_H(X0,X1,v_E____,c_Expr_Oexp_OVar(v_V______,tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_18601,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______)),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),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__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______)),X1)) ),
inference(instantiation,[status(thm)],[c_389]) ).
cnf(c_26539,plain,
( ~ c_Progress_OWTrt_H(v_P,v_aa______,v_E____,X0,X1)
| c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,X0,X1) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_42890,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______)))
| ~ c_Progress_OWTrt_H(v_P,v_aa______,v_E____,v_e_Ha______,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_Progress_OWTrt_H(v_P,v_aa______,v_E____,c_Expr_Oexp_OVar(v_V______,tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______))
| c_Progress_OWTrt_H(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(instantiation,[status(thm)],[c_17403]) ).
cnf(c_42891,plain,
( hAPP(v_E____,v_V______) != 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)
| c_Progress_OWTrt_H(v_P,v_aa______,v_E____,c_Expr_Oexp_OVar(v_V______,tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______)) ),
inference(instantiation,[status(thm)],[c_17557]) ).
cnf(c_47749,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__2(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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(v_E____,v_P,v_ea______,v_a______,v_V______)),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)))),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______)),X0)) ),
inference(instantiation,[status(thm)],[c_18601]) ).
cnf(c_49282,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__2(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)))),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______)))
| 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(instantiation,[status(thm)],[c_47749]) ).
cnf(c_53438,plain,
( ~ c_Progress_OWTrt_H(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)
| 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(instantiation,[status(thm)],[c_26539]) ).
cnf(c_53439,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_53438,c_49282,c_42891,c_42890,c_15355,c_15354,c_13592,c_8186,c_8189,c_5921,c_5409,c_5402,c_5401,c_406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV948-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n024.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 06:48:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 73.41/10.79 % SZS status Started for theBenchmark.p
% 73.41/10.79 % SZS status Unsatisfiable for theBenchmark.p
% 73.41/10.79
% 73.41/10.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 73.41/10.79
% 73.41/10.79 ------ iProver source info
% 73.41/10.79
% 73.41/10.79 git: date: 2023-05-31 18:12:56 +0000
% 73.41/10.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 73.41/10.79 git: non_committed_changes: false
% 73.41/10.79 git: last_make_outside_of_git: false
% 73.41/10.79
% 73.41/10.79 ------ Parsing...successful
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79 ------ Preprocessing... sup_sim: 0 sf_s rm: 28 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 73.41/10.79
% 73.41/10.79 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 73.41/10.79
% 73.41/10.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 73.41/10.79 ------ Proving...
% 73.41/10.79 ------ Problem Properties
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79 clauses 231
% 73.41/10.79 conjectures 1
% 73.41/10.79 EPR 10
% 73.41/10.79 Horn 224
% 73.41/10.79 unary 144
% 73.41/10.79 binary 64
% 73.41/10.79 lits 366
% 73.41/10.79 lits eq 225
% 73.41/10.79 fd_pure 0
% 73.41/10.79 fd_pseudo 0
% 73.41/10.79 fd_cond 4
% 73.41/10.79 fd_pseudo_cond 41
% 73.41/10.79 AC symbols 0
% 73.41/10.79
% 73.41/10.79 ------ Input Options Time Limit: Unbounded
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79 ------
% 73.41/10.79 Current options:
% 73.41/10.79 ------
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79 ------ Proving...
% 73.41/10.79
% 73.41/10.79
% 73.41/10.79 % SZS status Unsatisfiable for theBenchmark.p
% 73.41/10.79
% 73.41/10.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 73.41/10.79
% 73.41/10.79
%------------------------------------------------------------------------------