%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV025-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 07:34:22 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.53s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 133 ( 38 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_85,axiom,
! [VAR_0] :
( p_Rd_error(VAR_0)
| ~ p_Rd_error(plus(VAR_0,n1))
| p_Rd(VAR_0)
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_85) ).
cnf(c_26,plain,
( p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_85]) ).
fof(axiom_86,axiom,
! [VAR_0] :
( ~ p_Rd_error(VAR_0)
| p_Rd_error(plus(VAR_0,n1))
| p_Rd(VAR_0)
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_86) ).
cnf(c_27,plain,
( ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_86]) ).
fof(axiom_50,axiom,
! [VAR_0] :
( ~ p_Rd_error(VAR_0)
| p_Rd_error(plus(VAR_0,n1))
| p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_50) ).
cnf(c_49,plain,
( ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_50]) ).
fof(axiom_49,axiom,
! [VAR_0] :
( p_Rd_error(VAR_0)
| ~ p_Rd_error(plus(VAR_0,n1))
| p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_49) ).
cnf(c_50,plain,
( p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_49]) ).
fof(quest_4,axiom,
( p_Rd_error(plus(t_139,n1))
| p_Rd_error(t_139) ),
file('theBenchmark.p',quest_4) ).
cnf(c_117,plain,
( p_Rd_error(plus(t_139,n1))
| p_Rd_error(t_139) ),
inference(clausify,[status(thm)],[quest_4]) ).
fof(quest_3,axiom,
( ~ p_Rd_error(plus(t_139,n1))
| ~ p_Rd_error(t_139) ),
file('theBenchmark.p',quest_3) ).
cnf(c_118,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ p_Rd_error(t_139) ),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_2,axiom,
~ p_Reset(t_139),
file('theBenchmark.p',quest_2) ).
cnf(c_119,plain,
~ p_Reset(t_139),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_1,axiom,
~ p_Rd(t_139),
file('theBenchmark.p',quest_1) ).
cnf(c_120,plain,
~ p_Rd(t_139),
inference(clausify,[status(thm)],[quest_1]) ).
cnf(c_394,plain,
( ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A)
| ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(resolve,[status(thm)],[c_49,c_27]) ).
cnf(c_707,plain,
( ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_394]) ).
cnf(c_708,plain,
( ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_707]) ).
cnf(c_709,plain,
( ~ p_Rd_error(A)
| ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_708]) ).
cnf(c_395,plain,
( ~ p_Rd_error(A)
| p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_709]) ).
cnf(c_406,plain,
( p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A)
| p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(resolve,[status(thm)],[c_50,c_26]) ).
cnf(c_710,plain,
( p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_406]) ).
cnf(c_711,plain,
( p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_710]) ).
cnf(c_712,plain,
( p_Rd_error(A)
| p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_711]) ).
cnf(c_407,plain,
( p_Rd_error(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_712]) ).
cnf(c_713,plain,
( p_Rd_error(plus(t_139,n1))
| p_Rd_error(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[status(thm)],[c_395,c_117]) ).
cnf(c_714,plain,
( p_Rd_error(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(copy,[status(thm)],[c_713]) ).
cnf(c_715,plain,
( p_Rd_error(plus(t_139,n1))
| p_Rd(t_139) ),
inference(resolve,[status(thm)],[c_119,c_714]) ).
cnf(c_616,plain,
p_Rd_error(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_120,c_715]) ).
cnf(c_617,plain,
~ p_Rd_error(t_139),
inference(resolve,[status(thm)],[c_616,c_118]) ).
cnf(c_716,plain,
( p_Rd_error(t_139)
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[status(thm)],[c_616,c_407]) ).
cnf(c_717,plain,
( p_Rd_error(t_139)
| p_Rd(t_139) ),
inference(resolve,[status(thm)],[c_119,c_716]) ).
cnf(c_718,plain,
p_Rd_error(t_139),
inference(resolve,[status(thm)],[c_120,c_717]) ).
cnf(c_706,plain,
$false,
inference(resolve,[status(thm)],[c_617,c_718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV025-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.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 : Fri Sep 25 16:02:14 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 1995780 was started by sandbox2 on n009,
% 0.09/0.37 % Fri Sep 25 16:02:14 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.15/0.53
% 0.15/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.53
% 0.15/0.53 % Proof 1 at 0.13 (+ 0.01) seconds.
% 0.15/0.53 % Length of proof is 15.
% 0.15/0.53 % Level of proof is 5.
% 0.15/0.53 % Maximum clause weight is 20.000.
% 0.15/0.53 % Given clauses 113.
% 0.15/0.53
% 0.15/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------