%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV951-1 : 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 : n007.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 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 26 ( 9 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_WTrtFAccNT_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( ~ c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,VAR_3,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(VAR_0,VAR_1,VAR_2,c_Expr_Oexp_OFAcc(VAR_3,VAR_4,VAR_5,tc_List_Olist(tc_String_Ochar)),VAR_6) ),
file('theBenchmark.p',cls_WTrtFAccNT_0) ).
cnf(c_319,plain,
( ~ c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OFAcc(D,E,F,tc_List_Olist(tc_String_Ochar)),V6) ),
inference(clausify,[status(thm)],[cls_WTrtFAccNT_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_344,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_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_363,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]) ).
fof(cls_conjecture_0,axiom,
! [VAR_0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,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_364,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,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_493,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,A,B,tc_List_Olist(tc_String_Ochar)),C),
inference(resolve,[status(thm)],[c_363,c_319]) ).
cnf(c_500,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)))),A),v_T____)),
inference(resolve,[status(thm)],[c_493,c_364]) ).
cnf(c_501,plain,
$false,
inference(resolve,[status(thm)],[c_500,c_344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV951-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 15:12:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 4047640 was started by sandbox2 on n007,
% 0.09/0.36 % Sat Sep 26 15:12:09 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.42
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.42
% 0.13/0.42 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.13/0.42 % Length of proof is 7.
% 0.13/0.42 % Level of proof is 3.
% 0.13/0.42 % Maximum clause weight is 60.000.
% 0.13/0.42 % Given clauses 252.
% 0.13/0.42
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------