%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV958-1 : 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 : n008.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 09:09:23 AM UTC 2026
% Result : Unsatisfiable 0.83s 0.59s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 40 ( 2 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-5 aty)
% Number of variables : 41 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_void_0,axiom,
v_T____ = c_Type_Oty_OVoid,
file('theBenchmark.p',cls_void_0) ).
cnf(c_343,plain,
v_T____ = c_Type_Oty_OVoid,
inference(clausify,[status(thm)],[cls_void_0]) ).
fof(cls_sub_0,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)))),v_T_092_060_094isub_0622____),v_TF____)),
file('theBenchmark.p',cls_sub_0) ).
cnf(c_360,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_T_092_060_094isub_0622____),v_TF____)),
inference(clausify,[status(thm)],[cls_sub_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_373,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),C)),
inference(clausify,[status(thm)],[cls_widen__refl_0]) ).
fof(cls_wt_092_060_094isub_0622_H_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
file('theBenchmark.p',cls_wt_092_060_094isub_0622_H_0) ).
cnf(c_384,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
inference(clausify,[status(thm)],[cls_wt_092_060_094isub_0622_H_0]) ).
fof(cls_WTrtFAss_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_Type_Oty_OClass(VAR_9))
| ~ c_TypeRel_Ohas__field(VAR_0,VAR_9,VAR_4,VAR_8,VAR_5,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_6,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)))),VAR_7),VAR_8))
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OFAss(VAR_3,VAR_4,VAR_5,VAR_6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
file('theBenchmark.p',cls_WTrtFAss_0) ).
cnf(c_386,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_OClass(V9))
| ~ c_TypeRel_Ohas__field(A,V9,E,V8,F,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,V6,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)))),V7),V8))
| c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OFAss(D,E,F,V6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(clausify,[status(thm)],[cls_WTrtFAss_0]) ).
fof(cls_CHAINED_0_03,axiom,
c_TypeRel_Ohas__field(v_P,v_C_H____,v_F____,v_TF____,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
file('theBenchmark.p',cls_CHAINED_0_03) ).
cnf(c_400,plain,
c_TypeRel_Ohas__field(v_P,v_C_H____,v_F____,v_TF____,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
inference(clausify,[status(thm)],[cls_CHAINED_0_03]) ).
fof(cls_CHAINED_0_04,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
file('theBenchmark.p',cls_CHAINED_0_04) ).
cnf(c_401,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
inference(clausify,[status(thm)],[cls_CHAINED_0_04]) ).
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_402,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_403,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_343,c_402]) ).
cnf(c_1102,plain,
( ~ c_WellTypeRT_OWTrt(v_P,A,B,C,c_Type_Oty_OClass(V6))
| ~ c_TypeRel_Ohas__field(v_P,V6,D,v_TF____,E,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,A,B,F,v_T_092_060_094isub_0622____)
| c_WellTypeRT_OWTrt(v_P,A,B,c_Expr_Oexp_OFAss(C,D,E,F,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(resolve,[status(thm)],[c_386,c_360]) ).
cnf(c_1103,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,A,c_Type_Oty_OClass(D))
| ~ c_TypeRel_Ohas__field(v_P,D,B,v_TF____,C,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(A,B,C,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(resolve,[status(thm)],[c_1102,c_384]) ).
cnf(c_1104,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,A,c_Type_Oty_OClass(v_C_H____))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(A,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
inference(resolve,[status(thm)],[c_1103,c_400]) ).
cnf(c_574,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)),c_Type_Oty_OVoid),
inference(resolve,[status(thm)],[c_1104,c_401]) ).
cnf(c_1105,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(resolve,[status(thm)],[c_574,c_403]) ).
cnf(c_1101,plain,
$false,
inference(resolve,[status(thm)],[c_373,c_1105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV958-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 15:15:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 3934829 was started by sandbox2 on n008,
% 0.08/0.36 % Sat Sep 26 15:15:24 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.38
% 0.13/0.38 % From the command line: assign(max_seconds, 300).
% 0.83/0.59
% 0.83/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.83/0.59
% 0.83/0.59 % Proof 1 at 0.16 (+ 0.04) seconds.
% 0.83/0.59 % Length of proof is 11.
% 0.83/0.59 % Level of proof is 2.
% 0.83/0.59 % Maximum clause weight is 102.000.
% 0.83/0.59 % Given clauses 359.
% 0.83/0.59
% 0.83/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------