TSTP Solution File: SWV988-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV988-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 : 600s
% DateTime : Wed Jul 20 21:45:50 EDT 2022
% Result : Unsatisfiable 29.76s 29.91s
% Output : Refutation 30.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 6 unt; 0 nHn; 27 RR)
% Number of literals : 73 ( 0 equ; 52 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-5 aty)
% Number of functors : 32 ( 32 usr; 21 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(137,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(u,v,w)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,u,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_in(c_Pair(c_Pair(x,w,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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(y,z,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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_SmallStep_Ored(u),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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(u,hAPP(c_State_Ohp,w),v,x,x1)
| c_WellTypeRT_OWTrt(u,hAPP(c_State_Ohp,z),v,y,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(v,u,x1,y,z)) ),
file('SWV988-1.p',unknown),
[] ).
cnf(236,axiom,
c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
file('SWV988-1.p',unknown),
[] ).
cnf(250,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(u,v,w)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,u,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_in(c_Pair(c_Pair(x,w,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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(y,z,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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_SmallStep_Ored(u),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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(u,hAPP(c_State_Ohp,w),v,x,x1)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(v,u,x1,y,z)),x1)) ),
file('SWV988-1.p',unknown),
[] ).
cnf(326,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(u,v,w)
| ~ c_in(c_Pair(c_Pair(x,w,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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(y,z,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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_SmallStep_Ored(u),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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(u,hAPP(c_State_Ohp,w),v,x,x1)
| c_TypeSafe__Mirabelle_Osconf(u,v,z) ),
file('SWV988-1.p',unknown),
[] ).
cnf(367,axiom,
c_in(c_Pair(c_Pair(v_a______,v_b______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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_aa______,v_ba______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(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('SWV988-1.p',unknown),
[] ).
cnf(417,axiom,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),x))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),x),y))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(u,v),w),y)) ),
file('SWV988-1.p',unknown),
[] ).
cnf(427,axiom,
c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),v_E,v_a______,v_T____),
file('SWV988-1.p',unknown),
[] ).
cnf(428,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_b______),
file('SWV988-1.p',unknown),
[] ).
cnf(429,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_ba______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,u)
| c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_s_H),v_E,v_e_H,v_sko__CHAINED__1(v_E,v_P,u,v_e_H,v_s_H)) ),
file('SWV988-1.p',unknown),
[] ).
cnf(430,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_ba______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,u)
| 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__CHAINED__1(v_E,v_P,u,v_e_H,v_s_H)),u)) ),
file('SWV988-1.p',unknown),
[] ).
cnf(435,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)))),u),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_s_H),v_E,v_e_H,u) ),
file('SWV988-1.p',unknown),
[] ).
cnf(2946,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_ba______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,u)
| ~ 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)))),u),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__CHAINED__1(v_E,v_P,u,v_e_H,v_s_H)),v)) ),
inference(res,[status(thm),theory(equality)],[430,417]),
[iquote('0:Res:430.2,417.0')] ).
cnf(5443,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,u,v_b______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),u,v_a______,v)
| c_TypeSafe__Mirabelle_Osconf(v_P,u,v_ba______) ),
inference(res,[status(thm),theory(equality)],[367,326]),
[iquote('0:Res:367.0,326.1')] ).
cnf(5460,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_b______)
| c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_ba______) ),
inference(res,[status(thm),theory(equality)],[427,5443]),
[iquote('0:Res:427.0,5443.1')] ).
cnf(5477,plain,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_ba______),
inference(mrr,[status(thm)],[5460,428]),
[iquote('0:MRR:5460.0,428.0')] ).
cnf(5478,plain,
( ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,u)
| c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_s_H),v_E,v_e_H,v_sko__CHAINED__1(v_E,v_P,u,v_e_H,v_s_H)) ),
inference(mrr,[status(thm)],[429,5477]),
[iquote('0:MRR:429.0,5477.0')] ).
cnf(5501,plain,
( ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,u)
| ~ 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)))),u),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__CHAINED__1(v_E,v_P,u,v_e_H,v_s_H)),v)) ),
inference(mrr,[status(thm)],[2946,5477]),
[iquote('0:MRR:2946.0,5477.0')] ).
cnf(5751,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,u,v_b______)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),u,v_a______,v)
| c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),u,v_aa______,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(u,v_P,v,v_aa______,v_ba______)) ),
inference(res,[status(thm),theory(equality)],[367,137]),
[iquote('0:Res:367.0,137.2')] ).
cnf(5771,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,u,v_b______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),u,v_a______,v)
| c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),u,v_aa______,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(u,v_P,v,v_aa______,v_ba______)) ),
inference(mrr,[status(thm)],[5751,236]),
[iquote('0:MRR:5751.1,236.0')] ).
cnf(5794,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,u,v_b______)
| ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),u,v_a______,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__TypeSafe__Mirabelle__Xsubject__reduction__1(u,v_P,v,v_aa______,v_ba______)),v)) ),
inference(res,[status(thm),theory(equality)],[367,250]),
[iquote('0:Res:367.0,250.2')] ).
cnf(5814,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,u,v_b______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),u,v_a______,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__TypeSafe__Mirabelle__Xsubject__reduction__1(u,v_P,v,v_aa______,v_ba______)),v)) ),
inference(mrr,[status(thm)],[5794,236]),
[iquote('0:MRR:5794.1,236.0')] ).
cnf(15493,plain,
( ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,u)
| ~ 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)))),u),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_s_H),v_E,v_e_H,v_sko__CHAINED__1(v_E,v_P,u,v_e_H,v_s_H)) ),
inference(res,[status(thm),theory(equality)],[5501,435]),
[iquote('0:Res:5501.2,435.0')] ).
cnf(15504,plain,
( ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,u)
| ~ 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)))),u),v_T____)) ),
inference(mrr,[status(thm)],[15493,5478]),
[iquote('0:MRR:15493.2,5478.1')] ).
cnf(15510,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,u,v_b______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),u,v_a______,v_T____)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_ba______),v_E,v_aa______,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(u,v_P,v_T____,v_aa______,v_ba______)) ),
inference(res,[status(thm),theory(equality)],[5814,15504]),
[iquote('0:Res:5814.2,15504.1')] ).
cnf(15514,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_b______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),v_E,v_a______,v_T____)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_b______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),v_E,v_a______,v_T____) ),
inference(res,[status(thm),theory(equality)],[5771,15510]),
[iquote('0:Res:5771.2,15510.2')] ).
cnf(15516,plain,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_b______)
| ~ c_WellTypeRT_OWTrt(v_P,hAPP(c_State_Ohp,v_b______),v_E,v_a______,v_T____) ),
inference(obv,[status(thm),theory(equality)],[15514]),
[iquote('0:Obv:15514.1')] ).
cnf(15517,plain,
$false,
inference(mrr,[status(thm)],[15516,428,427]),
[iquote('0:MRR:15516.0,15516.1,428.0,427.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV988-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 05:57:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 29.76/29.91
% 29.76/29.91 SPASS V 3.9
% 29.76/29.91 SPASS beiseite: Proof found.
% 29.76/29.91 % SZS status Theorem
% 29.76/29.91 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.76/29.91 SPASS derived 14186 clauses, backtracked 0 clauses, performed 0 splits and kept 8074 clauses.
% 29.76/29.91 SPASS allocated 84935 KBytes.
% 29.76/29.91 SPASS spent 0:0:29.56 on the problem.
% 29.76/29.91 0:00:00.07 for the input.
% 29.76/29.91 0:00:00.00 for the FLOTTER CNF translation.
% 29.76/29.91 0:00:01.71 for inferences.
% 29.76/29.91 0:00:00.00 for the backtracking.
% 29.76/29.91 0:0:27.45 for the reduction.
% 29.76/29.91
% 29.76/29.91
% 29.76/29.91 Here is a proof with depth 4, length 27 :
% 29.76/29.91 % SZS output start Refutation
% See solution above
% 30.25/30.43 Formulae used in the proof : cls_subject__reduction_0 cls_wf_0 cls_subject__reduction_1 cls_red__preserves__sconf_0 cls_step_I1_J_0 cls_widen__trans_0 cls_CHAINED_0 cls_CHAINED_0_01 cls_CHAINED_1 cls_CHAINED_0_02 cls_conjecture_0
% 30.25/30.43
%------------------------------------------------------------------------------