%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 09:37:01 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s2_goal_1,axiom,
~ p_1_2,
file('theBenchmark.p',s2_goal_1) ).
cnf(c_1,plain,
~ p_1_2,
inference(clausify,[status(thm)],[s2_goal_1]) ).
fof(s2_type11_1,axiom,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
file('theBenchmark.p',s2_type11_1) ).
cnf(c_2,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
inference(clausify,[status(thm)],[s2_type11_1]) ).
fof(t2_1,axiom,
p_1_1,
file('theBenchmark.p',t2_1) ).
cnf(c_8,plain,
p_1_1,
inference(clausify,[status(thm)],[t2_1]) ).
fof(t2_3,axiom,
p_2_2,
file('theBenchmark.p',t2_3) ).
cnf(c_10,plain,
p_2_2,
inference(clausify,[status(thm)],[t2_3]) ).
cnf(c_12,plain,
( ~ p_1_1
| ~ p_2_2 ),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_15,plain,
~ p_1_1,
inference(resolve,[status(thm)],[c_12,c_10]) ).
cnf(c_16,plain,
$false,
inference(resolve,[status(thm)],[c_15,c_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.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 17:13:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1537538 was started by sandbox on n026,
% 0.08/0.36 % Sat Sep 26 17:13:25 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.08/0.36
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.36
% 0.08/0.36 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/0.36 % Length of proof is 7.
% 0.08/0.36 % Level of proof is 3.
% 0.08/0.36 % Maximum clause weight is 3.000.
% 0.08/0.36 % Given clauses 10.
% 0.08/0.36
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------