%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV955-1 : 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 : n017.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 0.86s 0.54s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 25 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-5 aty)
% Number of variables : 30 ( 9 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_WTrtFAssNT_0,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,VAR_3,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_6,VAR_7)
| 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_WTrtFAssNT_0) ).
cnf(c_316,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(A,B,C,V6,V7)
| 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_WTrtFAssNT_0]) ).
fof(cls_void_0,axiom,
v_T____ = c_Type_Oty_OVoid,
file('theBenchmark.p',cls_void_0) ).
cnf(c_340,plain,
v_T____ = c_Type_Oty_OVoid,
inference(clausify,[status(thm)],[cls_void_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_367,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),C)),
inference(clausify,[status(thm)],[cls_widen__refl_0]) ).
fof(cls_CHAINED_0_01,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_CHAINED_0_01) ).
cnf(c_393,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_CHAINED_0_01]) ).
fof(cls_CHAINED_0_02,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('theBenchmark.p',cls_CHAINED_0_02) ).
cnf(c_394,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(clausify,[status(thm)],[cls_CHAINED_0_02]) ).
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_340,c_395]) ).
cnf(c_812,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,A,c_Type_Oty_ONT)
| 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_316,c_393]) ).
cnf(c_527,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,A,B,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(resolve,[status(thm)],[c_812,c_394]) ).
cnf(c_813,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_527,c_396]) ).
cnf(c_811,plain,
$false,
inference(resolve,[status(thm)],[c_367,c_813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV955-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 15:09:03 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.37 % Process 1030504 was started by sandbox on n017,
% 0.12/0.37 % Sat Sep 26 15:09:03 2026
% 0.12/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.39
% 0.12/0.39 % From the command line: assign(max_seconds, 300).
% 0.86/0.54
% 0.86/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.86/0.54
% 0.86/0.54 % Proof 1 at 0.12 (+ 0.02) seconds.
% 0.86/0.54 % Length of proof is 9.
% 0.86/0.54 % Level of proof is 2.
% 0.86/0.54 % Maximum clause weight is 71.000.
% 0.86/0.54 % Given clauses 326.
% 0.86/0.54
% 0.86/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------