%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 09:09:24 AM UTC 2026
% Result : Unsatisfiable 84.70s 16.50s
% Output : CNFRefutation 84.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 117 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 112 ( 42 ~; 70 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 24 ( 24 usr; 13 con; 0-8 aty)
% Number of variables : 123 ( 34 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_WTrt__elim__cases_I8_J_4,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OFAss(VAR_3,VAR_5,VAR_4,VAR_6,tc_List_Olist(tc_String_Ochar)),VAR_7)
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(VAR_4,VAR_2,VAR_5,VAR_0,VAR_3,VAR_1,VAR_6)))
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_Type_Oty_ONT) ),
file('theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).
cnf(c_1,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OFAss(D,F,E,V6,tc_List_Olist(tc_String_Ochar)),V7)
| c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(E,C,F,A,D,B,V6)))
| c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT) ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I8_J_4]) ).
fof(cls_WTrt__elim__cases_I8_J_7,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OFAss(VAR_3,VAR_5,VAR_4,VAR_6,tc_List_Olist(tc_String_Ochar)),VAR_7)
| c_TypeRel_Ohas__field(VAR_0,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(VAR_4,VAR_2,VAR_5,VAR_0,VAR_3,VAR_1,VAR_6),VAR_5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(VAR_4,VAR_2,VAR_5,VAR_0,VAR_3,VAR_1,VAR_6),VAR_4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_Type_Oty_ONT) ),
file('theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).
cnf(c_8,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OFAss(D,F,E,V6,tc_List_Olist(tc_String_Ochar)),V7)
| c_TypeRel_Ohas__field(A,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(E,C,F,A,D,B,V6),F,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(E,C,F,A,D,B,V6),E,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT) ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I8_J_7]) ).
fof(cls_WTrt__elim__cases_I8_J_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ c_WellTypeRT_OWTrt(VAR_1,VAR_2,VAR_3,c_Expr_Oexp_OFAss(VAR_4,VAR_5,VAR_6,VAR_7,tc_List_Olist(tc_String_Ochar)),VAR_0)
| VAR_0 = c_Type_Oty_OVoid
| VAR_0 = c_Type_Oty_OVoid ),
file('theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).
cnf(c_326,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| A = c_Type_Oty_OVoid
| A = c_Type_Oty_OVoid ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I8_J_0]) ).
cnf(c_6182,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| A = c_Type_Oty_OVoid
| c_Type_Oty_OVoid = A ),
inference(copy,[status(thm)],[c_326]) ).
cnf(c_6183,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| c_Type_Oty_OVoid = A
| c_Type_Oty_OVoid = A ),
inference(copy,[status(thm)],[c_6182]) ).
cnf(c_327,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| c_Type_Oty_OVoid = A ),
inference(copy,[status(thm)],[c_6183]) ).
fof(cls_WTrt__elim__cases_I8_J_13,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OFAss(VAR_3,VAR_5,VAR_4,VAR_6,tc_List_Olist(tc_String_Ochar)),VAR_7)
| 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__8__3(VAR_4,VAR_2,VAR_5,VAR_0,VAR_3,VAR_1,VAR_6)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(VAR_4,VAR_2,VAR_5,VAR_0,VAR_3,VAR_1,VAR_6)))
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_Type_Oty_ONT) ),
file('theBenchmark.p',cls_WTrt__elim__cases_I8_J_13) ).
cnf(c_332,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OFAss(D,F,E,V6,tc_List_Olist(tc_String_Ochar)),V7)
| 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__8__3(E,C,F,A,D,B,V6)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(E,C,F,A,D,B,V6)))
| c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT) ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I8_J_13]) ).
fof(cls_void_0,axiom,
v_T____ = c_Type_Oty_OVoid,
file('theBenchmark.p',cls_void_0) ).
cnf(c_335,plain,
v_T____ = c_Type_Oty_OVoid,
inference(clausify,[status(thm)],[cls_void_0]) ).
fof(cls_wt_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file('theBenchmark.p',cls_wt_0) ).
cnf(c_360,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(clausify,[status(thm)],[cls_wt_0]) ).
cnf(c_361,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(paramod,[status(thm)],[c_335,c_360]) ).
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_362,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),C)),
inference(clausify,[status(thm)],[cls_widen__refl_0]) ).
fof(cls_WTrt__elim__cases_I8_J_10,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OFAss(VAR_3,VAR_6,VAR_5,VAR_4,tc_List_Olist(tc_String_Ochar)),VAR_7)
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(VAR_5,VAR_2,VAR_6,VAR_0,VAR_3,VAR_1,VAR_4))
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_Type_Oty_ONT) ),
file('theBenchmark.p',cls_WTrt__elim__cases_I8_J_10) ).
cnf(c_366,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OFAss(D,V6,F,E,tc_List_Olist(tc_String_Ochar)),V7)
| c_WellTypeRT_OWTrt(A,B,C,E,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(F,C,V6,A,D,B,E))
| c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT) ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I8_J_10]) ).
fof(cls_CHAINED_0_01,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(VAR_2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,VAR_0)
| ~ c_TypeRel_Ohas__field(v_P,VAR_2,v_F____,VAR_1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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),VAR_1))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
file('theBenchmark.p',cls_CHAINED_0_01) ).
cnf(c_389,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(C))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,A)
| ~ c_TypeRel_Ohas__field(v_P,C,v_F____,B,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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),B))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(clausify,[status(thm)],[cls_CHAINED_0_01]) ).
cnf(c_390,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(C))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,A)
| ~ c_TypeRel_Ohas__field(v_P,C,v_F____,B,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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),B))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(paramod,[status(thm)],[c_335,c_389]) ).
fof(cls_CHAINED_0_03,axiom,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
file('theBenchmark.p',cls_CHAINED_0_03) ).
cnf(c_393,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(clausify,[status(thm)],[cls_CHAINED_0_03]) ).
cnf(c_394,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(paramod,[status(thm)],[c_335,c_393]) ).
fof(cls_conjecture_0,axiom,
! [VAR_0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,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_395,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,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]) ).
cnf(c_396,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,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),c_Type_Oty_OVoid)) ),
inference(paramod,[status(thm)],[c_335,c_395]) ).
cnf(c_443,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__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolve,[status(thm)],[c_361,c_332]) ).
cnf(c_448,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,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,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolve,[status(thm)],[c_361,c_8]) ).
cnf(c_451,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolve,[status(thm)],[c_361,c_1]) ).
cnf(c_455,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolve,[status(thm)],[c_366,c_361]) ).
cnf(c_6184,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(A))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| ~ c_TypeRel_Ohas__field(v_P,A,v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,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,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(resolve,[status(thm)],[c_390,c_443]) ).
cnf(c_6185,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(resolve,[status(thm)],[c_6184,c_448]) ).
cnf(c_6186,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(resolve,[status(thm)],[c_6185,c_455]) ).
cnf(c_6187,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(resolve,[status(thm)],[c_6186,c_451]) ).
cnf(c_6188,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(copy,[status(thm)],[c_6187]) ).
cnf(c_6189,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(copy,[status(thm)],[c_6188]) ).
cnf(c_1241,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(copy,[status(thm)],[c_6189]) ).
cnf(c_6190,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(resolve,[status(thm)],[c_1241,c_394]) ).
cnf(c_5954,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),
inference(copy,[status(thm)],[c_6190]) ).
cnf(c_6146,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__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),c_Type_Oty_OVoid)),
inference(resolve,[status(thm)],[c_5954,c_396]) ).
cnf(c_6191,plain,
c_Type_Oty_OVoid = v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____),
inference(resolve,[status(thm)],[c_5954,c_327]) ).
cnf(c_6153,plain,
v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____) = c_Type_Oty_OVoid,
inference(copy,[status(thm)],[c_6191]) ).
cnf(c_6192,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_Type_Oty_OVoid),c_Type_Oty_OVoid)),
inference(paramod,[status(thm)],[c_6153,c_6146]) ).
cnf(c_6181,plain,
$false,
inference(resolve,[status(thm)],[c_362,c_6192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.39 % Computer : n015.cluster.edu
% 0.09/5.39 % Model : x86_64 x86_64
% 0.09/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39 % Memory : 8046.5625MB
% 0.09/5.39 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Sat Sep 26 15:18:20 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.40 % Process 178576 was started by sandbox2 on n015,
% 0.09/5.40 % Sat Sep 26 15:18:20 2026
% 0.09/5.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/5.41
% 0.15/5.41 % From the command line: assign(max_seconds, 300).
% 84.70/16.50
% 84.70/16.50 % given #500 (W,wt=39): 1470 c_Progress_OWTrt_H(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) | c_Progress_OWTrt_H(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(A,B,C,v_ea____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) | -c_Progress_OWTrt_H(v_P,v_ha____,v_E____,A,c_Type_Oty_ONT). [resolve(1344,b,254,b)].
% 84.70/16.50
% 84.70/16.50 % SZS status Unsatisfiable for theBenchmark
% 84.70/16.50
% 84.70/16.50 % Proof 1 at 2.51 (+ 0.48) seconds.
% 84.70/16.50 % Length of proof is 25.
% 84.70/16.50 % Level of proof is 6.
% 84.70/16.50 % Maximum clause weight is 110.000.
% 84.70/16.50 % Given clauses 659.
% 84.70/16.50
% 84.70/16.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------