%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV948-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 : Thu Sep 24 03:00:14 PM UTC 2026
% Result : Unsatisfiable 15.55s 2.97s
% Output : CNFRefutation 15.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 47 ( 15 unt; 0 nHn; 45 RR)
% Number of literals : 95 ( 13 equ; 53 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-5 aty)
% Number of variables : 137 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrt__elim__cases_I1_J_0,axiom,
( ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OLAss(X5,X6,tc_List_Olist(tc_String_Ochar)),X1)
| X1 = c_Type_Oty_OVoid ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_I4_J_0) ).
cnf(cls_WTrt__elim__cases_I1_J_3,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X4,X2,c_Expr_Oexp_OLAss(X5,X3,tc_List_Olist(tc_String_Ochar)),X6)
| 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))) ),
file('/export/starexec/sandbox2/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),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X5),X4))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).
cnf(cls_LAssRed_Ohyps_I2_J_1,axiom,
( ~ 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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_1) ).
cnf(cls_WTrt__elim__cases_I1_J_2,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X5,X4,tc_List_Olist(tc_String_Ochar)),X6)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X3,X1,X4,X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_2) ).
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/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_I3_J_0) ).
cnf(cls_WTrt__elim__cases_I1_J_1,axiom,
( ~ c_WellTypeRT_OWTrt(X3,X5,X1,c_Expr_Oexp_OLAss(X2,X4,tc_List_Olist(tc_String_Ochar)),X6)
| hAPP(X1,X2) = c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X1,X3,X4,X5,X2),tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_1) ).
cnf(cls_conjecture_0,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)),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____)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_WTrtLAss_0,axiom,
( ~ c_WellTypeRT_OWTrt(X4,X5,X1,X6,X7)
| ~ 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))
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty)
| c_WellTypeRT_OWTrt(X4,X5,X1,c_Expr_Oexp_OLAss(X2,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtLAss_0) ).
cnf(cls_LAssRed_Ohyps_I2_J_0,axiom,
( ~ 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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| 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______)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_0) ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
cnf(c_0_12,plain,
( ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OLAss(X5,X6,tc_List_Olist(tc_String_Ochar)),X1)
| X1 = c_Type_Oty_OVoid ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I1_J_0]) ).
cnf(c_0_13,plain,
( ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OLAss(X5,X6,tc_List_Olist(tc_String_Ochar)),X1)
| X1 = c_Type_Oty_OVoid ),
c_0_12 ).
cnf(c_0_14,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_15,plain,
( ~ c_WellTypeRT_OWTrt(X1,X4,X2,c_Expr_Oexp_OLAss(X5,X3,tc_List_Olist(tc_String_Ochar)),X6)
| 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))) ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I1_J_3]) ).
cnf(c_0_16,plain,
v_T____ = c_Type_Oty_OVoid,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X5),X4))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4)) ),
inference(fof_simplification,[status(thm)],[cls_widen__trans_0]) ).
cnf(c_0_18,plain,
( ~ c_WellTypeRT_OWTrt(X1,X4,X2,c_Expr_Oexp_OLAss(X5,X3,tc_List_Olist(tc_String_Ochar)),X6)
| 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_0_15 ).
cnf(c_0_19,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_14,c_0_16]) ).
cnf(c_0_20,plain,
( ~ 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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| 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)) ),
inference(fof_simplification,[status(thm)],[cls_LAssRed_Ohyps_I2_J_1]) ).
cnf(c_0_21,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X5,X4,tc_List_Olist(tc_String_Ochar)),X6)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X3,X1,X4,X2,X5)) ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I1_J_2]) ).
cnf(c_0_22,plain,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X5),X4))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4)) ),
c_0_17 ).
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)))),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_18,c_0_19]) ).
cnf(c_0_24,plain,
( ~ 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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| 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_0_20 ).
cnf(c_0_25,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_26,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X5,X4,tc_List_Olist(tc_String_Ochar)),X6)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(X3,X1,X4,X2,X5)) ),
c_0_21 ).
cnf(c_0_27,plain,
( ~ c_WellTypeRT_OWTrt(X3,X5,X1,c_Expr_Oexp_OLAss(X2,X4,tc_List_Olist(tc_String_Ochar)),X6)
| hAPP(X1,X2) = c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(X1,X3,X4,X5,X2),tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I1_J_1]) ).
cnf(c_0_28,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)),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(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_29,plain,
( ~ c_WellTypeRT_OWTrt(X4,X5,X1,X6,X7)
| ~ 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))
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty)
| c_WellTypeRT_OWTrt(X4,X5,X1,c_Expr_Oexp_OLAss(X2,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(fof_simplification,[status(thm)],[cls_WTrtLAss_0]) ).
cnf(c_0_30,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__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)))),X1),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_22,c_0_23]) ).
cnf(c_0_31,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,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(v_E____,v_P,X1,v_aa______,v_e_Ha______)),X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,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_26,c_0_19]) ).
cnf(c_0_33,plain,
( ~ c_WellTypeRT_OWTrt(X3,X5,X1,c_Expr_Oexp_OLAss(X2,X4,tc_List_Olist(tc_String_Ochar)),X6)
| 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_0_27 ).
cnf(c_0_34,plain,
( ~ 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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| 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______)) ),
inference(fof_simplification,[status(thm)],[cls_LAssRed_Ohyps_I2_J_0]) ).
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)),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____)) ),
c_0_28 ).
cnf(c_0_36,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
cls_widen__refl_0 ).
cnf(c_0_37,plain,
( ~ c_WellTypeRT_OWTrt(X4,X5,X1,X6,X7)
| ~ 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))
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty)
| c_WellTypeRT_OWTrt(X4,X5,X1,c_Expr_Oexp_OLAss(X2,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
c_0_29 ).
cnf(c_0_38,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_30,c_0_31]),c_0_32])]) ).
cnf(c_0_39,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_33,c_0_19]) ).
cnf(c_0_40,plain,
( ~ 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))))
| ~ c_WellTypeRT_OWTrt(v_P,v_a______,X1,v_ea______,X2)
| 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_0_34 ).
cnf(c_0_41,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_35,c_0_36]) ).
cnf(c_0_42,plain,
( ~ 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______))
| hAPP(X2,X3) != hAPP(v_E____,v_V______)
| c_WellTypeRT_OWTrt(v_P,X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,v_ea______,X1)
| 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______)) ),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_44,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_41,c_0_16]) ).
cnf(c_0_45,plain,
( hAPP(v_E____,X1) != hAPP(v_E____,v_V______)
| 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32])]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV948-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n026.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 09:36:36 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.55/2.97 % Version: 3.5.1
% 15.55/2.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 15.55/2.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.55/2.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.55/2.97 % Starting new_bool_3 with 300s (1) cores
% 15.55/2.97 % Starting new_bool_1 with 300s (1) cores
% 15.55/2.97 % Starting sh5l with 300s (1) cores
% 15.55/2.97 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1944845 completed with status 0
% 15.55/2.97 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 15.55/2.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 15.55/2.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.55/2.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.55/2.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.55/2.97 % No SInE strategy applied
% 15.55/2.97 % Search class: FGHSM-FSLS33-DFFFFFNN
% 15.55/2.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.55/2.97 % Starting SubtermCWHack with 136s (1) cores
% 15.55/2.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 15.55/2.97 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 15.55/2.97 % Starting new_bool_3 with 226s (1) cores
% 15.55/2.97 % Starting new_bool_1 with 226s (1) cores
% 15.55/2.97 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1944854 completed with status 0
% 15.55/2.97 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 15.55/2.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 15.55/2.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.55/2.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 15.55/2.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.55/2.97 % No SInE strategy applied
% 15.55/2.97 % Search class: FGHSM-FSLS33-DFFFFFNN
% 15.55/2.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.55/2.97 % Starting SubtermCWHack with 136s (1) cores
% 15.55/2.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 15.55/2.97 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 15.55/2.97 % Preprocessing time : 0.007 s
% 15.55/2.97 % Presaturation interreduction done
% 15.55/2.97
% 15.55/2.97 % Proof found!
% 15.55/2.97 % SZS status Unsatisfiable
% 15.55/2.97 % SZS output start CNFRefutation
% See solution above
% 15.55/2.97 % Parsed axioms : 365
% 15.55/2.97 % Removed by relevancy pruning/SinE : 0
% 15.55/2.97 % Initial clauses : 365
% 15.55/2.97 % Removed in clause preprocessing : 2
% 15.55/2.97 % Initial clauses in saturation : 363
% 15.55/2.97 % Processed clauses : 1946
% 15.55/2.97 % ...of these trivial : 2
% 15.55/2.97 % ...subsumed : 668
% 15.55/2.97 % ...remaining for further processing : 1276
% 15.55/2.97 % Other redundant clauses eliminated : 0
% 15.55/2.97 % Clauses deleted for lack of memory : 0
% 15.55/2.97 % Backward-subsumed : 45
% 15.55/2.97 % Backward-rewritten : 2
% 15.55/2.97 % Generated clauses : 29135
% 15.55/2.97 % ...of the previous two non-redundant : 28826
% 15.55/2.97 % ...aggressively subsumed : 0
% 15.55/2.97 % Contextual simplify-reflections : 0
% 15.55/2.97 % Paramodulations : 29037
% 15.55/2.97 % Factorizations : 0
% 15.55/2.97 % NegExts : 0
% 15.55/2.97 % Equation resolutions : 98
% 15.55/2.97 % Disequality decompositions : 0
% 15.55/2.97 % Total rewrite steps : 2470
% 15.55/2.97 % ...of those cached : 2118
% 15.55/2.97 % Propositional unsat checks : 0
% 15.55/2.97 % Propositional check models : 0
% 15.55/2.97 % Propositional check unsatisfiable : 0
% 15.55/2.97 % Propositional clauses : 0
% 15.55/2.97 % Propositional clauses after purity: 0
% 15.55/2.97 % Propositional unsat core size : 0
% 15.55/2.97 % Propositional preprocessing time : 0.000
% 15.55/2.97 % Propositional encoding time : 0.000
% 15.55/2.97 % Propositional solver time : 0.000
% 15.55/2.97 % Success case prop preproc time : 0.000
% 15.55/2.97 % Success case prop encoding time : 0.000
% 15.55/2.97 % Success case prop solver time : 0.000
% 15.55/2.97 % Current number of processed clauses : 974
% 15.55/2.97 % Positive orientable unit clauses : 73
% 15.55/2.97 % Positive unorientable unit clauses: 34
% 15.55/2.97 % Negative unit clauses : 109
% 15.55/2.97 % Non-unit-clauses : 758
% 15.55/2.97 % Current number of unprocessed clauses: 27413
% 15.55/2.97 % ...number of literals in the above : 65204
% 15.55/2.97 % Current number of archived formulas : 0
% 15.55/2.97 % Current number of archived clauses : 303
% 15.55/2.97 % Clause-clause subsumption calls (NU) : 232795
% 15.55/2.97 % Rec. Clause-clause subsumption calls : 137392
% 15.55/2.97 % Non-unit clause-clause subsumptions : 605
% 15.55/2.97 % Unit Clause-clause subsumption calls : 10328
% 15.55/2.97 % Rewrite failures with RHS unbound : 36
% 15.55/2.97 % BW rewrite match attempts : 3924
% 15.55/2.97 % BW rewrite match successes : 1
% 15.55/2.97 % Condensation attempts : 0
% 15.55/2.97 % Condensation successes : 0
% 15.55/2.97 % Termbank termtop insertions : 927195
% 15.55/2.97 % Search garbage collected termcells : 797
% 15.55/2.97
% 15.55/2.97 % -------------------------------------------------
% 15.55/2.97 % User time : 2.201 s
% 15.55/2.97 % System time : 0.090 s
% 15.55/2.97 % Total time : 2.290 s
% 15.55/2.97 % Maximum resident set size: 4140 pages
% 15.55/2.97
% 15.55/2.97 % -------------------------------------------------
% 15.55/2.97 % User time : 10.848 s
% 15.55/2.97 % System time : 0.420 s
% 15.55/2.97 % Total time : 11.268 s
% 15.55/2.97 % Maximum resident set size: 5120 pages
% 15.55/2.97 % E exiting
%------------------------------------------------------------------------------