%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV962-1 : 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 : n001.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 0.09s 0.44s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 29 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 11 |; 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 : 19 ( 19 usr; 12 con; 0-5 aty)
% Number of variables : 48 ( 30 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
! [VAR_0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,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_3,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,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]) ).
fof(cls_CHAINED_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_4,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(clausify,[status(thm)],[cls_CHAINED_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_6,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(A,B),C),C)),
inference(clausify,[status(thm)],[cls_widen__refl_0]) ).
fof(cls_wt_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file('theBenchmark.p',cls_wt_0) ).
cnf(c_14,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(clausify,[status(thm)],[cls_wt_0]) ).
fof(cls_WTrt__elim__cases_I8_J_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ c_WellTypeRT_OWTrt(VAR_1,VAR_2,VAR_3,c_Expr_Oexp_OFAss(VAR_4,VAR_5,VAR_6,VAR_7,tc_List_Olist(tc_String_Ochar)),VAR_0)
| VAR_0 = c_Type_Oty_OVoid
| VAR_0 = c_Type_Oty_OVoid ),
file('theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).
cnf(c_18,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| A = c_Type_Oty_OVoid
| A = c_Type_Oty_OVoid ),
inference(clausify,[status(thm)],[cls_WTrt__elim__cases_I8_J_0]) ).
cnf(c_454,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| A = c_Type_Oty_OVoid
| c_Type_Oty_OVoid = A ),
inference(copy,[status(thm)],[c_18]) ).
cnf(c_455,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| c_Type_Oty_OVoid = A
| c_Type_Oty_OVoid = A ),
inference(copy,[status(thm)],[c_454]) ).
cnf(c_19,plain,
( ~ c_WellTypeRT_OWTrt(B,C,D,c_Expr_Oexp_OFAss(E,F,V6,V7,tc_List_Olist(tc_String_Ochar)),A)
| c_Type_Oty_OVoid = A ),
inference(copy,[status(thm)],[c_455]) ).
cnf(c_451,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),v_T____)),
inference(resolve,[status(thm)],[c_4,c_3]) ).
cnf(c_456,plain,
c_Type_Oty_OVoid = v_T____,
inference(resolve,[status(thm)],[c_19,c_14]) ).
cnf(c_452,plain,
v_T____ = c_Type_Oty_OVoid,
inference(copy,[status(thm)],[c_456]) ).
cnf(c_457,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(paramod,[status(thm)],[c_452,c_451]) ).
cnf(c_453,plain,
$false,
inference(resolve,[status(thm)],[c_6,c_457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV962-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 15:21:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2088074 was started by sandbox on n001,
% 0.09/0.37 % Sat Sep 26 15:21:13 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.44
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.44
% 0.09/0.44 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.09/0.44 % Length of proof is 9.
% 0.09/0.44 % Level of proof is 3.
% 0.09/0.44 % Maximum clause weight is 29.000.
% 0.09/0.44 % Given clauses 17.
% 0.09/0.44
% 0.09/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------