%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN098-1.002 : 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 : n015.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 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 12 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 111 ( 44 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 16 ( 15 usr; 16 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(u_s3_goal_1,axiom,
( ~ q_0
| ~ p_0
| u_1 ),
file('theBenchmark.p',u_s3_goal_1) ).
cnf(c_1,plain,
( ~ q_0
| ~ p_0
| u_1 ),
inference(clausify,[status(thm)],[u_s3_goal_1]) ).
fof(u_1_s3_goal_1,axiom,
~ u_1,
file('theBenchmark.p',u_1_s3_goal_1) ).
cnf(c_2,plain,
~ u_1,
inference(clausify,[status(thm)],[u_1_s3_goal_1]) ).
fof(u_s3_type11_2,axiom,
( ~ q_2
| ~ q_1
| p_0
| u_3 ),
file('theBenchmark.p',u_s3_type11_2) ).
cnf(c_5,plain,
( ~ q_2
| ~ q_1
| p_0
| u_3 ),
inference(clausify,[status(thm)],[u_s3_type11_2]) ).
fof(u_3_s3_type11_2,axiom,
( ~ u_3
| p_0 ),
file('theBenchmark.p',u_3_s3_type11_2) ).
cnf(c_6,plain,
( ~ u_3
| p_0 ),
inference(clausify,[status(thm)],[u_3_s3_type11_2]) ).
fof(u_s3_type11_3,axiom,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
file('theBenchmark.p',u_s3_type11_3) ).
cnf(c_7,plain,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
inference(clausify,[status(thm)],[u_s3_type11_3]) ).
fof(u_4_s3_type11_3,axiom,
( ~ u_4
| p_1 ),
file('theBenchmark.p',u_4_s3_type11_3) ).
cnf(c_8,plain,
( ~ u_4
| p_1 ),
inference(clausify,[status(thm)],[u_4_s3_type11_3]) ).
fof(u_s3_type12_1,axiom,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
file('theBenchmark.p',u_s3_type12_1) ).
cnf(c_11,plain,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
inference(clausify,[status(thm)],[u_s3_type12_1]) ).
fof(u_6_s3_type12_1,axiom,
( ~ u_6
| q_0 ),
file('theBenchmark.p',u_6_s3_type12_1) ).
cnf(c_12,plain,
( ~ u_6
| q_0 ),
inference(clausify,[status(thm)],[u_6_s3_type12_1]) ).
fof(u_s3_type12_4,axiom,
( ~ p_3
| ~ q_2
| q_1
| u_9 ),
file('theBenchmark.p',u_s3_type12_4) ).
cnf(c_17,plain,
( ~ p_3
| ~ q_2
| q_1
| u_9 ),
inference(clausify,[status(thm)],[u_s3_type12_4]) ).
fof(u_9_s3_type12_4,axiom,
( ~ u_9
| q_1 ),
file('theBenchmark.p',u_9_s3_type12_4) ).
cnf(c_18,plain,
( ~ u_9
| q_1 ),
inference(clausify,[status(thm)],[u_9_s3_type12_4]) ).
fof(u_t3_1,axiom,
( p_2
| u_14 ),
file('theBenchmark.p',u_t3_1) ).
cnf(c_27,plain,
( p_2
| u_14 ),
inference(clausify,[status(thm)],[u_t3_1]) ).
fof(u_14_t3_1,axiom,
( ~ u_14
| p_2 ),
file('theBenchmark.p',u_14_t3_1) ).
cnf(c_28,plain,
( ~ u_14
| p_2 ),
inference(clausify,[status(thm)],[u_14_t3_1]) ).
fof(u_t3_2,axiom,
( p_3
| u_15 ),
file('theBenchmark.p',u_t3_2) ).
cnf(c_29,plain,
( p_3
| u_15 ),
inference(clausify,[status(thm)],[u_t3_2]) ).
fof(u_15_t3_2,axiom,
( ~ u_15
| p_3 ),
file('theBenchmark.p',u_15_t3_2) ).
cnf(c_30,plain,
( ~ u_15
| p_3 ),
inference(clausify,[status(thm)],[u_15_t3_2]) ).
fof(u_t3_3,axiom,
( q_2
| u_16 ),
file('theBenchmark.p',u_t3_3) ).
cnf(c_31,plain,
( q_2
| u_16 ),
inference(clausify,[status(thm)],[u_t3_3]) ).
fof(u_16_t3_3,axiom,
( ~ u_16
| q_2 ),
file('theBenchmark.p',u_16_t3_3) ).
cnf(c_32,plain,
( ~ u_16
| q_2 ),
inference(clausify,[status(thm)],[u_16_t3_3]) ).
cnf(c_69,plain,
( ~ q_0
| ~ p_0 ),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_106,plain,
( p_2
| p_2 ),
inference(resolve,[status(thm)],[c_28,c_27]) ).
cnf(c_71,plain,
p_2,
inference(copy,[status(thm)],[c_106]) ).
cnf(c_75,plain,
( ~ p_3
| p_1
| u_4 ),
inference(resolve,[status(thm)],[c_71,c_7]) ).
cnf(c_107,plain,
( p_3
| p_3 ),
inference(resolve,[status(thm)],[c_30,c_29]) ).
cnf(c_77,plain,
p_3,
inference(copy,[status(thm)],[c_107]) ).
cnf(c_78,plain,
( p_1
| u_4 ),
inference(resolve,[status(thm)],[c_77,c_75]) ).
cnf(c_79,plain,
( ~ q_2
| q_1
| u_9 ),
inference(resolve,[status(thm)],[c_77,c_17]) ).
cnf(c_108,plain,
( q_2
| q_2 ),
inference(resolve,[status(thm)],[c_32,c_31]) ).
cnf(c_80,plain,
q_2,
inference(copy,[status(thm)],[c_108]) ).
cnf(c_81,plain,
( q_1
| u_9 ),
inference(resolve,[status(thm)],[c_80,c_79]) ).
cnf(c_83,plain,
( ~ p_1
| q_0
| u_6 ),
inference(resolve,[status(thm)],[c_80,c_11]) ).
cnf(c_85,plain,
( ~ q_1
| p_0
| u_3 ),
inference(resolve,[status(thm)],[c_80,c_5]) ).
cnf(c_109,plain,
( p_1
| p_1 ),
inference(resolve,[status(thm)],[c_78,c_8]) ).
cnf(c_92,plain,
p_1,
inference(copy,[status(thm)],[c_109]) ).
cnf(c_93,plain,
( q_0
| u_6 ),
inference(resolve,[status(thm)],[c_92,c_83]) ).
cnf(c_110,plain,
( q_1
| q_1 ),
inference(resolve,[status(thm)],[c_81,c_18]) ).
cnf(c_95,plain,
q_1,
inference(copy,[status(thm)],[c_110]) ).
cnf(c_96,plain,
( p_0
| u_3 ),
inference(resolve,[status(thm)],[c_95,c_85]) ).
cnf(c_111,plain,
( q_0
| q_0 ),
inference(resolve,[status(thm)],[c_93,c_12]) ).
cnf(c_101,plain,
q_0,
inference(copy,[status(thm)],[c_111]) ).
cnf(c_102,plain,
~ p_0,
inference(resolve,[status(thm)],[c_101,c_69]) ).
cnf(c_103,plain,
u_3,
inference(resolve,[status(thm)],[c_102,c_96]) ).
cnf(c_112,plain,
~ u_3,
inference(resolve,[status(thm)],[c_102,c_6]) ).
cnf(c_105,plain,
$false,
inference(resolve,[status(thm)],[c_103,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n015.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 26 17:15:14 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 364522 was started by sandbox on n015,
% 0.09/0.35 % Sat Sep 26 17:15:14 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.35
% 0.09/0.35 % From the command line: assign(max_seconds, 300).
% 0.13/0.36
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.36
% 0.13/0.36 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.36 % Length of proof is 34.
% 0.13/0.36 % Level of proof is 9.
% 0.13/0.36 % Maximum clause weight is 4.000.
% 0.13/0.36 % Given clauses 84.
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------