%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:22:44 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c1,axiom,
( ~ b_is_a_knight
| ~ a_is_a_knight ),
file('theBenchmark.p',c1) ).
cnf(c_1,plain,
( ~ b_is_a_knight
| ~ a_is_a_knight ),
inference(clausify,[status(thm)],[c1]) ).
fof(c5,axiom,
( d_is_a_knight
| c_is_a_knight
| ~ b_is_a_knight ),
file('theBenchmark.p',c5) ).
cnf(c_4,plain,
( d_is_a_knight
| c_is_a_knight
| ~ b_is_a_knight ),
inference(clausify,[status(thm)],[c5]) ).
fof(c10,axiom,
( c_is_a_knight
| ~ d_is_a_knight
| ~ e_is_a_knight ),
file('theBenchmark.p',c10) ).
cnf(c_7,plain,
( c_is_a_knight
| ~ d_is_a_knight
| ~ e_is_a_knight ),
inference(clausify,[status(thm)],[c10]) ).
fof(c16,axiom,
( e_is_a_knight
| a_is_a_knight ),
file('theBenchmark.p',c16) ).
cnf(c_12,plain,
( e_is_a_knight
| a_is_a_knight ),
inference(clausify,[status(thm)],[c16]) ).
fof(c17,axiom,
( ~ c_is_a_knight
| a_is_a_knight ),
file('theBenchmark.p',c17) ).
cnf(c_13,plain,
( ~ c_is_a_knight
| a_is_a_knight ),
inference(clausify,[status(thm)],[c17]) ).
fof(c18,axiom,
b_is_a_knight,
file('theBenchmark.p',c18) ).
cnf(c_14,plain,
b_is_a_knight,
inference(clausify,[status(thm)],[c18]) ).
cnf(c_15,plain,
( d_is_a_knight
| c_is_a_knight ),
inference(resolve,[status(thm)],[c_14,c_4]) ).
cnf(c_16,plain,
~ a_is_a_knight,
inference(resolve,[status(thm)],[c_14,c_1]) ).
cnf(c_17,plain,
~ c_is_a_knight,
inference(resolve,[status(thm)],[c_16,c_13]) ).
cnf(c_18,plain,
e_is_a_knight,
inference(resolve,[status(thm)],[c_16,c_12]) ).
cnf(c_19,plain,
d_is_a_knight,
inference(resolve,[status(thm)],[c_17,c_15]) ).
cnf(c_21,plain,
( c_is_a_knight
| ~ d_is_a_knight ),
inference(resolve,[status(thm)],[c_18,c_7]) ).
cnf(c_22,plain,
c_is_a_knight,
inference(resolve,[status(thm)],[c_19,c_21]) ).
cnf(c_20,plain,
$false,
inference(resolve,[status(thm)],[c_17,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:03:29 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 3823267 was started by sandbox2 on n011,
% 0.08/0.35 % Sat Sep 26 05:03:29 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 12.
% 0.12/0.37 % Level of proof is 4.
% 0.12/0.37 % Maximum clause weight is 3.000.
% 0.12/0.37 % Given clauses 0.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------