%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN093-1.002 : 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 : n003.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 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(u_s2_goal_1,axiom,
( ~ p_1_2
| u_1 ),
file('theBenchmark.p',u_s2_goal_1) ).
cnf(c_1,plain,
( ~ p_1_2
| u_1 ),
inference(clausify,[status(thm)],[u_s2_goal_1]) ).
fof(u_1_s2_goal_1,axiom,
~ u_1,
file('theBenchmark.p',u_1_s2_goal_1) ).
cnf(c_2,plain,
~ u_1,
inference(clausify,[status(thm)],[u_1_s2_goal_1]) ).
fof(u_s2_type11_1,axiom,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
file('theBenchmark.p',u_s2_type11_1) ).
cnf(c_3,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
inference(clausify,[status(thm)],[u_s2_type11_1]) ).
fof(u_2_s2_type11_1,axiom,
( ~ u_2
| p_1_2 ),
file('theBenchmark.p',u_2_s2_type11_1) ).
cnf(c_4,plain,
( ~ u_2
| p_1_2 ),
inference(clausify,[status(thm)],[u_2_s2_type11_1]) ).
fof(u_t2_1,axiom,
( p_1_1
| u_10 ),
file('theBenchmark.p',u_t2_1) ).
cnf(c_19,plain,
( p_1_1
| u_10 ),
inference(clausify,[status(thm)],[u_t2_1]) ).
fof(u_10_t2_1,axiom,
( ~ u_10
| p_1_1 ),
file('theBenchmark.p',u_10_t2_1) ).
cnf(c_20,plain,
( ~ u_10
| p_1_1 ),
inference(clausify,[status(thm)],[u_10_t2_1]) ).
fof(u_t2_3,axiom,
( p_2_2
| u_12 ),
file('theBenchmark.p',u_t2_3) ).
cnf(c_23,plain,
( p_2_2
| u_12 ),
inference(clausify,[status(thm)],[u_t2_3]) ).
fof(u_12_t2_3,axiom,
( ~ u_12
| p_2_2 ),
file('theBenchmark.p',u_12_t2_3) ).
cnf(c_24,plain,
( ~ u_12
| p_2_2 ),
inference(clausify,[status(thm)],[u_12_t2_3]) ).
cnf(c_27,plain,
~ p_1_2,
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_30,plain,
~ u_2,
inference(resolve,[status(thm)],[c_27,c_4]) ).
cnf(c_37,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
inference(resolve,[status(thm)],[c_30,c_3]) ).
cnf(c_31,plain,
( ~ p_1_1
| ~ p_2_2 ),
inference(resolve,[status(thm)],[c_27,c_37]) ).
cnf(c_38,plain,
( p_1_1
| p_1_1 ),
inference(resolve,[status(thm)],[c_20,c_19]) ).
cnf(c_32,plain,
p_1_1,
inference(copy,[status(thm)],[c_38]) ).
cnf(c_33,plain,
~ p_2_2,
inference(resolve,[status(thm)],[c_32,c_31]) ).
cnf(c_35,plain,
~ u_12,
inference(resolve,[status(thm)],[c_33,c_24]) ).
cnf(c_39,plain,
p_2_2,
inference(resolve,[status(thm)],[c_35,c_23]) ).
cnf(c_36,plain,
$false,
inference(resolve,[status(thm)],[c_33,c_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN093-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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 17:12:39 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 3385097 was started by sandbox2 on n003,
% 0.08/0.36 % Sat Sep 26 17:12:39 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.14/0.38
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38
% 0.14/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.14/0.38 % Length of proof is 15.
% 0.14/0.38 % Level of proof is 6.
% 0.14/0.38 % Maximum clause weight is 4.000.
% 0.14/0.38 % Given clauses 13.
% 0.14/0.38
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------