%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV948-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 : Sun Sep 27 09:09:22 AM UTC 2026
% Result : Unsatisfiable 1.57s 0.98s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 19 unt; 0 def)
% Number of atoms : 84 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 44 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 112 ( 16 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
! [VAR_0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_aa______,v_E____,c_Expr_Oexp_OLAss(v_V______,v_e_Ha______,tc_List_Olist(tc_String_Ochar)),VAR_0)
| ~ 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)))),VAR_0),v_T____)) ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_3,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)),A)
| ~ 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)))),A),v_T____)) ),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_CHAINED_0_01,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('theBenchmark.p',cls_CHAINED_0_01) ).
cnf(c_6,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)))),
inference(clausify,[status(thm)],[cls_CHAINED_0_01]) ).
fof(cls_CHAINED_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('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_7,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____),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
fof(cls_widen__trans_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(VAR_0,VAR_1),VAR_2),VAR_4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(VAR_0,VAR_1),VAR_4),VAR_3))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(VAR_0,VAR_1),VAR_2),VAR_3)) ),
file('theBenchmark.p',cls_widen__trans_0) ).
cnf(c_27,plain,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),E))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),E),D))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),D)) ),
inference(clausify,[status(thm)],[cls_widen__trans_0]) ).
fof(cls_widen__refl_0,axiom,
! [VAR_0,VAR_1,VAR_2] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(VAR_0,VAR_1),VAR_2),VAR_2)),
file('theBenchmark.p',cls_widen__refl_0) ).
cnf(c_28,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),C)),
inference(clausify,[status(thm)],[cls_widen__refl_0]) ).
fof(cls_WTrt__elim__cases_I1_J_2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OLAss(VAR_4,VAR_3,tc_List_Olist(tc_String_Ochar)),VAR_5)
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(VAR_2,VAR_0,VAR_3,VAR_1,VAR_4)) ),
file('theBenchmark.p',cls_WTrt__elim__cases_I1_J_2) ).
cnf(c_29,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OLAss(E,D,tc_List_Olist(tc_String_Ochar)),F)
| c_WellTypeRT_OWTrt(A,B,C,D,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(C,A,D,B,E)) ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I1_J_2]) ).
fof(cls_LAssRed_Ohyps_I2_J_0,axiom,
! [VAR_0,VAR_1] :
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,VAR_0,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______,VAR_0,v_ea______,VAR_1)
| c_WellTypeRT_OWTrt(v_P,v_aa______,VAR_0,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(VAR_0,v_P,VAR_1,v_aa______,v_e_Ha______)) ),
file('theBenchmark.p',cls_LAssRed_Ohyps_I2_J_0) ).
cnf(c_31,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,A,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______,A,v_ea______,B)
| c_WellTypeRT_OWTrt(v_P,v_aa______,A,v_e_Ha______,v_sko__local__XLAssRed__Xhyps__2__1(A,v_P,B,v_aa______,v_e_Ha______)) ),
inference(clausify,[status(thm)],[cls_LAssRed_Ohyps_I2_J_0]) ).
fof(cls_WTrtLAss_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( ~ c_WellTypeRT_OWTrt(VAR_3,VAR_4,VAR_0,VAR_5,VAR_6)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(VAR_3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),VAR_6),VAR_2))
| c_WellTypeRT_OWTrt(VAR_3,VAR_4,VAR_0,c_Expr_Oexp_OLAss(VAR_1,VAR_5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| hAPP(VAR_0,VAR_1) != c_Option_Ooption_OSome(VAR_2,tc_Type_Oty) ),
file('theBenchmark.p',cls_WTrtLAss_0) ).
cnf(c_45,plain,
( ~ c_WellTypeRT_OWTrt(D,E,A,F,V6)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V6),C))
| c_WellTypeRT_OWTrt(D,E,A,c_Expr_Oexp_OLAss(B,F,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| hAPP(A,B) != c_Option_Ooption_OSome(C,tc_Type_Oty) ),
inference(clausify,[status(thm)],[cls_WTrtLAss_0]) ).
cnf(c_46,plain,
( ~ c_WellTypeRT_OWTrt(D,E,B,F,V6)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V6),A))
| c_WellTypeRT_OWTrt(D,E,B,c_Expr_Oexp_OLAss(C,F,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| c_Option_Ooption_OSome(A,tc_Type_Oty) != hAPP(B,C) ),
inference(copy,[status(thm)],[c_45]) ).
fof(cls_WTrt__elim__cases_I1_J_3,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_3,VAR_1,c_Expr_Oexp_OLAss(VAR_4,VAR_2,tc_List_Olist(tc_String_Ochar)),VAR_5)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(VAR_0,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(VAR_1,VAR_0,VAR_2,VAR_3,VAR_4)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(VAR_1,VAR_0,VAR_2,VAR_3,VAR_4))) ),
file('theBenchmark.p',cls_WTrt__elim__cases_I1_J_3) ).
cnf(c_47,plain,
( ~ c_WellTypeRT_OWTrt(A,D,B,c_Expr_Oexp_OLAss(E,C,tc_List_Olist(tc_String_Ochar)),F)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,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(B,A,C,D,E)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(B,A,C,D,E))) ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I1_J_3]) ).
fof(cls_LAssRed_Ohyps_I2_J_1,axiom,
! [VAR_0,VAR_1] :
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,VAR_0,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______,VAR_0,v_ea______,VAR_1)
| 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(VAR_0,v_P,VAR_1,v_aa______,v_e_Ha______)),VAR_1)) ),
file('theBenchmark.p',cls_LAssRed_Ohyps_I2_J_1) ).
cnf(c_50,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,A,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______,A,v_ea______,B)
| 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(A,v_P,B,v_aa______,v_e_Ha______)),B)) ),
inference(clausify,[status(thm)],[cls_LAssRed_Ohyps_I2_J_1]) ).
fof(cls_WTrt__elim__cases_I1_J_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ c_WellTypeRT_OWTrt(VAR_1,VAR_2,VAR_3,c_Expr_Oexp_OLAss(VAR_4,VAR_5,tc_List_Olist(tc_String_Ochar)),VAR_0)
| VAR_0 = c_Type_Oty_OVoid ),
file('theBenchmark.p',cls_WTrt__elim__cases_I1_J_0) ).
cnf(c_54,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OLAss(E,F,tc_List_Olist(tc_String_Ochar)),A)
| A = c_Type_Oty_OVoid ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I1_J_0]) ).
cnf(c_55,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OLAss(E,F,tc_List_Olist(tc_String_Ochar)),A)
| c_Type_Oty_OVoid = A ),
inference(copy,[status(thm)],[c_54]) ).
fof(cls_WTrt__elim__cases_I1_J_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ c_WellTypeRT_OWTrt(VAR_2,VAR_4,VAR_0,c_Expr_Oexp_OLAss(VAR_1,VAR_3,tc_List_Olist(tc_String_Ochar)),VAR_5)
| hAPP(VAR_0,VAR_1) = c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(VAR_0,VAR_2,VAR_3,VAR_4,VAR_1),tc_Type_Oty) ),
file('theBenchmark.p',cls_WTrt__elim__cases_I1_J_1) ).
cnf(c_69,plain,
( ~ c_WellTypeRT_OWTrt(C,E,A,c_Expr_Oexp_OLAss(B,D,tc_List_Olist(tc_String_Ochar)),F)
| hAPP(A,B) = c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(A,C,D,E,B),tc_Type_Oty) ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I1_J_1]) ).
cnf(c_70,plain,
( ~ c_WellTypeRT_OWTrt(B,D,A,c_Expr_Oexp_OLAss(E,C,tc_List_Olist(tc_String_Ochar)),F)
| c_Option_Ooption_OSome(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(A,B,C,D,E),tc_Type_Oty) = hAPP(A,E) ),
inference(copy,[status(thm)],[c_69]) ).
cnf(c_407,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(resolve,[status(thm)],[c_28,c_3]) ).
cnf(c_408,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(resolve,[status(thm)],[c_29,c_7]) ).
cnf(c_414,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(resolve,[status(thm)],[c_47,c_7]) ).
cnf(c_1092,plain,
c_Type_Oty_OVoid = v_T____,
inference(resolve,[status(thm)],[c_55,c_7]) ).
cnf(c_417,plain,
v_T____ = c_Type_Oty_OVoid,
inference(copy,[status(thm)],[c_1092]) ).
cnf(c_421,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(paramod,[status(thm)],[c_417,c_407]) ).
cnf(c_423,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(paramod,[status(thm)],[c_417,c_7]) ).
cnf(c_1093,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))))
| 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(resolve,[status(thm)],[c_408,c_50]) ).
cnf(c_445,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______))),
inference(resolve,[status(thm)],[c_6,c_1093]) ).
cnf(c_1094,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))))
| 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(resolve,[status(thm)],[c_408,c_31]) ).
cnf(c_449,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______)),
inference(resolve,[status(thm)],[c_6,c_1094]) ).
cnf(c_493,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(resolve,[status(thm)],[c_423,c_70]) ).
cnf(c_502,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)))),A),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)))),A),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______))) ),
inference(resolve,[status(thm)],[c_414,c_27]) ).
cnf(c_517,plain,
( ~ c_WellTypeRT_OWTrt(A,B,v_E____,C,D)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),D),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(v_E____,v_P,v_ea______,v_a______,v_V______)))
| c_WellTypeRT_OWTrt(A,B,v_E____,c_Expr_Oexp_OLAss(v_V______,C,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(resolve,[status(thm)],[c_493,c_46]) ).
cnf(c_1024,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(resolve,[status(thm)],[c_502,c_445]) ).
cnf(c_1095,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_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(resolve,[status(thm)],[c_517,c_449]) ).
cnf(c_1096,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(resolve,[status(thm)],[c_421,c_1095]) ).
cnf(c_1091,plain,
$false,
inference(resolve,[status(thm)],[c_1024,c_1096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV948-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44 % Computer : n013.cluster.edu
% 0.09/0.44 % Model : x86_64 x86_64
% 0.09/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.44 % Memory : 8046.5625MB
% 0.09/0.44 % OS : Linux 6.8.0-71-generic
% 0.09/0.44 % CPULimit : 300
% 0.09/0.44 % WCLimit : 300
% 0.09/0.44 % DateTime : Sat Sep 26 15:12:36 UTC 2026
% 0.09/0.44 % CPUTime :
% 0.09/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.45 % Process 3021216 was started by sandbox on n013,
% 0.09/0.45 % Sat Sep 26 15:12:36 2026
% 0.09/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.46
% 0.09/0.46 % From the command line: assign(max_seconds, 300).
% 1.57/0.98
% 1.57/0.98 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.98
% 1.57/0.98 % Proof 1 at 0.16 (+ 0.05) seconds.
% 1.57/0.98 % Length of proof is 28.
% 1.57/0.98 % Level of proof is 6.
% 1.57/0.98 % Maximum clause weight is 100.000.
% 1.57/0.98 % Given clauses 439.
% 1.57/0.98
% 1.57/0.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------