%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV959-1 : 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 : n011.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 03:00:15 PM UTC 2026
% Result : Unsatisfiable 7.55s 1.65s
% Output : CNFRefutation 7.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 48 ( 16 unt; 13 nHn; 46 RR)
% Number of literals : 106 ( 7 equ; 51 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 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 : 143 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( ~ 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)),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_CHAINED_1_02,axiom,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| 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,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_02) ).
cnf(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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
cnf(cls_void_0,axiom,
v_T____ = c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_void_0) ).
cnf(cls_CHAINED_0_01,axiom,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X3))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1)
| ~ c_TypeRel_Ohas__field(v_P,X3,v_F____,X2,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)))),X1),X2))
| 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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_WTrt__elim__cases_I8_J_13,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| 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__8__3(X5,X3,X6,X1,X4,X2,X7)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_13) ).
cnf(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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_0) ).
cnf(cls_WTrt__elim__cases_I8_J_10,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X6,X5,tc_List_Olist(tc_String_Ochar)),X8)
| c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X7,X1,X4,X2,X5))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_10) ).
cnf(cls_WTrt__elim__cases_I8_J_7,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7),X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).
cnf(cls_WTrt__elim__cases_I8_J_4,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).
cnf(cls_WTrt__elim__cases_I8_J_0,axiom,
( ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OFAss(X5,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X1)
| X1 = c_Type_Oty_OVoid
| X1 = c_Type_Oty_OVoid ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_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,negated_conjecture,
( ~ 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)),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_13,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| 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,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____)) ),
inference(fof_simplification,[status(thm)],[cls_CHAINED_1_02]) ).
cnf(c_0_14,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(fof_simplification,[status(thm)],[cls_CHAINED_0_03]) ).
cnf(c_0_15,negated_conjecture,
( ~ 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)),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_12 ).
cnf(c_0_16,axiom,
v_T____ = c_Type_Oty_OVoid,
cls_void_0 ).
cnf(c_0_17,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| 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,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____)) ),
c_0_13 ).
cnf(c_0_18,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____)) ),
c_0_14 ).
cnf(c_0_19,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X3))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1)
| ~ c_TypeRel_Ohas__field(v_P,X3,v_F____,X2,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)))),X1),X2))
| 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(fof_simplification,[status(thm)],[cls_CHAINED_0_01]) ).
cnf(c_0_20,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| 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__8__3(X5,X3,X6,X1,X4,X2,X7)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I8_J_13]) ).
cnf(c_0_21,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____),
cls_wt_0 ).
cnf(c_0_22,negated_conjecture,
( ~ 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)),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),c_Type_Oty_OVoid)) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_16]),c_0_16]) ).
cnf(c_0_24,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(rw,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_25,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X6,X5,tc_List_Olist(tc_String_Ochar)),X8)
| c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X7,X1,X4,X2,X5))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I8_J_10]) ).
cnf(c_0_26,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X3))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1)
| ~ c_TypeRel_Ohas__field(v_P,X3,v_F____,X2,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)))),X1),X2))
| 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____)) ),
c_0_19 ).
cnf(c_0_27,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| 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__8__3(X5,X3,X6,X1,X4,X2,X7)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
c_0_20 ).
cnf(c_0_28,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(rw,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_29,negated_conjecture,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_30,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X6,X5,tc_List_Olist(tc_String_Ochar)),X8)
| c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X7,X1,X4,X2,X5))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
c_0_25 ).
cnf(c_0_31,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7),X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I8_J_7]) ).
cnf(c_0_32,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I8_J_4]) ).
cnf(c_0_33,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X3))
| ~ c_TypeRel_Ohas__field(v_P,X3,v_F____,X2,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)))),X1),X2))
| 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(rw,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_34,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____))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_35,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____)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_29]) ).
cnf(c_0_36,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7),X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
c_0_31 ).
cnf(c_0_37,plain,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
c_0_32 ).
cnf(c_0_38,plain,
( ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OFAss(X5,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X1)
| X1 = c_Type_Oty_OVoid ),
inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I8_J_0]) ).
cnf(c_0_39,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X1))
| ~ c_TypeRel_Ohas__field(v_P,X1,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_40,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)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_29]) ).
cnf(c_0_41,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____))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_29]) ).
cnf(c_0_42,plain,
( ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OFAss(X5,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X1)
| X1 = c_Type_Oty_OVoid ),
c_0_38 ).
cnf(c_0_43,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_44,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
cls_widen__refl_0 ).
cnf(c_0_45,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(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
~ 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)),c_Type_Oty_OVoid),
inference(spm,[status(thm)],[c_0_22,c_0_44]) ).
cnf(c_0_47,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_45]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 09:34:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 7.55/1.65 % Version: 3.5.1
% 7.55/1.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 7.55/1.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.55/1.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.55/1.65 % Starting new_bool_3 with 300s (1) cores
% 7.55/1.65 % Starting new_bool_1 with 300s (1) cores
% 7.55/1.65 % Starting sh5l with 300s (1) cores
% 7.55/1.65 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1572286 completed with status 0
% 7.55/1.65 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 7.55/1.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 7.55/1.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.55/1.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.55/1.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.55/1.65 % No SInE strategy applied
% 7.55/1.65 % Search class: FGHSM-FSLS33-DFFFFFNN
% 7.55/1.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.55/1.65 % Starting SubtermCWHack with 136s (1) cores
% 7.55/1.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 7.55/1.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 7.55/1.65 % Starting new_bool_3 with 226s (1) cores
% 7.55/1.65 % Starting new_bool_1 with 226s (1) cores
% 7.55/1.65 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1572294 completed with status 0
% 7.55/1.65 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 7.55/1.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 7.55/1.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.55/1.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.55/1.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.55/1.65 % No SInE strategy applied
% 7.55/1.65 % Search class: FGHSM-FSLS33-DFFFFFNN
% 7.55/1.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.55/1.65 % Starting SubtermCWHack with 136s (1) cores
% 7.55/1.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 7.55/1.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 7.55/1.65 % Preprocessing time : 0.008 s
% 7.55/1.65 % Presaturation interreduction done
% 7.55/1.65
% 7.55/1.65 % Proof found!
% 7.55/1.65 % SZS status Unsatisfiable
% 7.55/1.65 % SZS output start CNFRefutation
% See solution above
% 7.55/1.65 % Parsed axioms : 386
% 7.55/1.65 % Removed by relevancy pruning/SinE : 0
% 7.55/1.65 % Initial clauses : 386
% 7.55/1.65 % Removed in clause preprocessing : 2
% 7.55/1.65 % Initial clauses in saturation : 384
% 7.55/1.65 % Processed clauses : 1690
% 7.55/1.65 % ...of these trivial : 1
% 7.55/1.65 % ...subsumed : 531
% 7.55/1.65 % ...remaining for further processing : 1158
% 7.55/1.65 % Other redundant clauses eliminated : 0
% 7.55/1.65 % Clauses deleted for lack of memory : 0
% 7.55/1.65 % Backward-subsumed : 34
% 7.55/1.65 % Backward-rewritten : 5
% 7.55/1.65 % Generated clauses : 21138
% 7.55/1.65 % ...of the previous two non-redundant : 20965
% 7.55/1.65 % ...aggressively subsumed : 0
% 7.55/1.65 % Contextual simplify-reflections : 1
% 7.55/1.65 % Paramodulations : 21100
% 7.55/1.65 % Factorizations : 0
% 7.55/1.65 % NegExts : 0
% 7.55/1.65 % Equation resolutions : 38
% 7.55/1.65 % Disequality decompositions : 0
% 7.55/1.65 % Total rewrite steps : 5643
% 7.55/1.65 % ...of those cached : 5611
% 7.55/1.65 % Propositional unsat checks : 0
% 7.55/1.65 % Propositional check models : 0
% 7.55/1.65 % Propositional check unsatisfiable : 0
% 7.55/1.65 % Propositional clauses : 0
% 7.55/1.65 % Propositional clauses after purity: 0
% 7.55/1.65 % Propositional unsat core size : 0
% 7.55/1.65 % Propositional preprocessing time : 0.000
% 7.55/1.65 % Propositional encoding time : 0.000
% 7.55/1.65 % Propositional solver time : 0.000
% 7.55/1.65 % Success case prop preproc time : 0.000
% 7.55/1.65 % Success case prop encoding time : 0.000
% 7.55/1.65 % Success case prop solver time : 0.000
% 7.55/1.65 % Current number of processed clauses : 853
% 7.55/1.65 % Positive orientable unit clauses : 47
% 7.55/1.65 % Positive unorientable unit clauses: 11
% 7.55/1.65 % Negative unit clauses : 114
% 7.55/1.65 % Non-unit-clauses : 681
% 7.55/1.65 % Current number of unprocessed clauses: 19898
% 7.55/1.65 % ...number of literals in the above : 65810
% 7.55/1.65 % Current number of archived formulas : 0
% 7.55/1.65 % Current number of archived clauses : 306
% 7.55/1.65 % Clause-clause subsumption calls (NU) : 141517
% 7.55/1.65 % Rec. Clause-clause subsumption calls : 98522
% 7.55/1.65 % Non-unit clause-clause subsumptions : 449
% 7.55/1.65 % Unit Clause-clause subsumption calls : 4136
% 7.55/1.65 % Rewrite failures with RHS unbound : 0
% 7.55/1.65 % BW rewrite match attempts : 822
% 7.55/1.65 % BW rewrite match successes : 2
% 7.55/1.65 % Condensation attempts : 0
% 7.55/1.65 % Condensation successes : 0
% 7.55/1.65 % Termbank termtop insertions : 734929
% 7.55/1.65 % Search garbage collected termcells : 854
% 7.55/1.65
% 7.55/1.65 % -------------------------------------------------
% 7.55/1.65 % User time : 1.046 s
% 7.55/1.65 % System time : 0.051 s
% 7.55/1.65 % Total time : 1.097 s
% 7.55/1.65 % Maximum resident set size: 3904 pages
% 7.55/1.65
% 7.55/1.65 % -------------------------------------------------
% 7.55/1.65 % User time : 5.073 s
% 7.55/1.65 % System time : 0.242 s
% 7.55/1.65 % Total time : 5.315 s
% 7.55/1.65 % Maximum resident set size: 4864 pages
% 7.55/1.65 % E exiting
%------------------------------------------------------------------------------