%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN101-1.002.002 : 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 : n019.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 09:37:03 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(n_s2_type11_1,axiom,
! [VAR_0,VAR_1] :
( ~ p_1_1(VAR_0,VAR_1)
| ~ p_2_2(VAR_0,VAR_1)
| p_1_2(VAR_0,VAR_1) ),
file('theBenchmark.p',n_s2_type11_1) ).
cnf(c_1,plain,
( ~ p_1_1(A,B)
| ~ p_2_2(A,B)
| p_1_2(A,B) ),
inference(clausify,[status(thm)],[n_s2_type11_1]) ).
fof(n_s2_goal_1,axiom,
~ p_1_2(a,a),
file('theBenchmark.p',n_s2_goal_1) ).
cnf(c_2,plain,
~ p_1_2(a,a),
inference(clausify,[status(thm)],[n_s2_goal_1]) ).
cnf(c_6,plain,
( ~ p_1_1(a,a)
| ~ p_2_2(a,a) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(n_t2_3,axiom,
! [VAR_0,VAR_1] :
( ~ nq_2(VAR_1)
| ~ nq_1(VAR_0)
| p_2_2(VAR_0,VAR_1) ),
file('theBenchmark.p',n_t2_3) ).
cnf(c_8,plain,
( ~ nq_2(B)
| ~ nq_1(A)
| p_2_2(A,B) ),
inference(clausify,[status(thm)],[n_t2_3]) ).
fof(n_t2_1,axiom,
! [VAR_0,VAR_1] :
( ~ nq_2(VAR_1)
| ~ nq_1(VAR_0)
| p_1_1(VAR_0,VAR_1) ),
file('theBenchmark.p',n_t2_1) ).
cnf(c_10,plain,
( ~ nq_2(B)
| ~ nq_1(A)
| p_1_1(A,B) ),
inference(clausify,[status(thm)],[n_t2_1]) ).
cnf(c_13,plain,
( ~ p_1_1(a,a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolve,[status(thm)],[c_8,c_6]) ).
fof(n_1,axiom,
nq_1(a),
file('theBenchmark.p',n_1) ).
cnf(c_25,plain,
nq_1(a),
inference(clausify,[status(thm)],[n_1]) ).
fof(n_3,axiom,
nq_2(a),
file('theBenchmark.p',n_3) ).
cnf(c_27,plain,
nq_2(a),
inference(clausify,[status(thm)],[n_3]) ).
cnf(c_30,plain,
( ~ nq_2(a)
| ~ nq_1(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolve,[status(thm)],[c_10,c_13]) ).
cnf(c_32,plain,
( ~ nq_2(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(copy,[status(thm)],[c_30]) ).
cnf(c_33,plain,
( ~ nq_2(a)
| ~ nq_1(a) ),
inference(copy,[status(thm)],[c_32]) ).
cnf(c_34,plain,
~ nq_2(a),
inference(resolve,[status(thm)],[c_25,c_33]) ).
cnf(c_31,plain,
$false,
inference(resolve,[status(thm)],[c_27,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN101-1.002.002 : 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 : n019.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 17:11:49 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 1822418 was started by sandbox on n019,
% 0.08/0.35 % Sat Sep 26 17:11:49 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/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 10.
% 0.12/0.37 % Level of proof is 4.
% 0.12/0.37 % Maximum clause weight is 2.000.
% 0.12/0.37 % Given clauses 0.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------