%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN095-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 09:37:02 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% 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 : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m_s2_type11_1,axiom,
! [VAR_0] :
( ~ p_1_1(VAR_0)
| ~ p_2_2(VAR_0)
| p_1_2(VAR_0) ),
file('theBenchmark.p',m_s2_type11_1) ).
cnf(c_1,plain,
( ~ p_1_1(A)
| ~ p_2_2(A)
| p_1_2(A) ),
inference(clausify,[status(thm)],[m_s2_type11_1]) ).
fof(m_s2_goal_1,axiom,
! [VAR_0] : ~ p_1_2(VAR_0),
file('theBenchmark.p',m_s2_goal_1) ).
cnf(c_2,plain,
~ p_1_2(A),
inference(clausify,[status(thm)],[m_s2_goal_1]) ).
fof(m_t2_3,axiom,
p_2_2(a),
file('theBenchmark.p',m_t2_3) ).
cnf(c_6,plain,
p_2_2(a),
inference(clausify,[status(thm)],[m_t2_3]) ).
cnf(c_7,plain,
( ~ p_1_1(A)
| ~ p_2_2(A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(m_t2_1,axiom,
p_1_1(a),
file('theBenchmark.p',m_t2_1) ).
cnf(c_9,plain,
p_1_1(a),
inference(clausify,[status(thm)],[m_t2_1]) ).
cnf(c_11,plain,
~ p_1_1(a),
inference(resolve,[status(thm)],[c_6,c_7]) ).
cnf(c_21,plain,
$false,
inference(resolve,[status(thm)],[c_9,c_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN095-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n004.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 17:11:06 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 2226492 was started by sandbox2 on n004,
% 0.17/0.44 % Sat Sep 26 17:11:06 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.17/0.45
% 0.17/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.45
% 0.17/0.45 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/0.45 % Length of proof is 7.
% 0.17/0.45 % Level of proof is 3.
% 0.17/0.45 % Maximum clause weight is 0.000.
% 0.17/0.45 % Given clauses 0.
% 0.17/0.45
% 0.17/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------