%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV966-1 : 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 : 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 09:09:24 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.56s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 29 ( 9 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_WTrtCallNT_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_OWTrts(VAR_0,VAR_1,VAR_2,VAR_5,VAR_7)
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OCall(VAR_3,VAR_4,VAR_5,tc_List_Olist(tc_String_Ochar)),VAR_6) ),
file('theBenchmark.p',cls_WTrtCallNT_0) ).
cnf(c_292,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(A,B,C,F,V7)
| c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OCall(D,E,F,tc_List_Olist(tc_String_Ochar)),V6) ),
inference(clausify,[status(thm)],[cls_WTrtCallNT_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_317,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),C)),
inference(clausify,[status(thm)],[cls_widen__refl_0]) ).
fof(cls_CHAINED_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,v_Ts____),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_335,plain,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,v_Ts____),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
fof(cls_CHAINED_0_01,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('theBenchmark.p',cls_CHAINED_0_01) ).
cnf(c_336,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_01]) ).
fof(cls_conjecture_0,axiom,
! [VAR_0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,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_337,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,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_388,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_OCall(A,B,v_esa____,tc_List_Olist(tc_String_Ochar)),C) ),
inference(resolve,[status(thm)],[c_335,c_292]) ).
cnf(c_396,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(resolve,[status(thm)],[c_337,c_317]) ).
cnf(c_521,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,A,v_esa____,tc_List_Olist(tc_String_Ochar)),B),
inference(resolve,[status(thm)],[c_388,c_336]) ).
cnf(c_522,plain,
$false,
inference(resolve,[status(thm)],[c_521,c_396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV966-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n017.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sat Sep 26 15:11:18 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.44 % Process 1036493 was started by sandbox2 on n017,
% 0.16/0.44 % Sat Sep 26 15:11:18 2026
% 0.16/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.47
% 0.16/0.47 % From the command line: assign(max_seconds, 300).
% 0.23/0.56
% 0.23/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.56
% 0.23/0.56 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.23/0.56 % Length of proof is 9.
% 0.23/0.56 % Level of proof is 3.
% 0.23/0.56 % Maximum clause weight is 43.000.
% 0.23/0.56 % Given clauses 303.
% 0.23/0.56
% 0.23/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------