%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 09:37:01 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.36s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 24 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 142 ( 77 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 12 ( 11 usr; 12 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_goal_1,axiom,
~ p_0,
file('theBenchmark.p',s1_goal_1) ).
cnf(c_1,plain,
~ p_0,
inference(clausify,[status(thm)],[s1_goal_1]) ).
fof(s1_1,axiom,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1
| p_0 ),
file('theBenchmark.p',s1_1) ).
cnf(c_2,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1
| p_0 ),
inference(clausify,[status(thm)],[s1_1]) ).
fof(s1_2,axiom,
p_1,
file('theBenchmark.p',s1_2) ).
cnf(c_3,plain,
p_1,
inference(clausify,[status(thm)],[s1_2]) ).
fof(s1_3,axiom,
p_2,
file('theBenchmark.p',s1_3) ).
cnf(c_4,plain,
p_2,
inference(clausify,[status(thm)],[s1_3]) ).
fof(s1_4,axiom,
p_3,
file('theBenchmark.p',s1_4) ).
cnf(c_5,plain,
p_3,
inference(clausify,[status(thm)],[s1_4]) ).
fof(s1_5,axiom,
p_4,
file('theBenchmark.p',s1_5) ).
cnf(c_6,plain,
p_4,
inference(clausify,[status(thm)],[s1_5]) ).
fof(s1_6,axiom,
p_5,
file('theBenchmark.p',s1_6) ).
cnf(c_7,plain,
p_5,
inference(clausify,[status(thm)],[s1_6]) ).
fof(s1_7,axiom,
p_6,
file('theBenchmark.p',s1_7) ).
cnf(c_8,plain,
p_6,
inference(clausify,[status(thm)],[s1_7]) ).
fof(s1_8,axiom,
p_7,
file('theBenchmark.p',s1_8) ).
cnf(c_9,plain,
p_7,
inference(clausify,[status(thm)],[s1_8]) ).
fof(s1_9,axiom,
p_8,
file('theBenchmark.p',s1_9) ).
cnf(c_10,plain,
p_8,
inference(clausify,[status(thm)],[s1_9]) ).
fof(s1_10,axiom,
p_9,
file('theBenchmark.p',s1_10) ).
cnf(c_11,plain,
p_9,
inference(clausify,[status(thm)],[s1_10]) ).
fof(s1_11,axiom,
p_10,
file('theBenchmark.p',s1_11) ).
cnf(c_12,plain,
p_10,
inference(clausify,[status(thm)],[s1_11]) ).
cnf(c_13,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_26,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_1 ),
inference(resolve,[status(thm)],[c_13,c_4]) ).
cnf(c_27,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_4
| ~ p_1 ),
inference(resolve,[status(thm)],[c_26,c_5]) ).
cnf(c_28,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_1 ),
inference(resolve,[status(thm)],[c_27,c_6]) ).
cnf(c_29,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_1 ),
inference(resolve,[status(thm)],[c_28,c_7]) ).
cnf(c_30,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_1 ),
inference(resolve,[status(thm)],[c_29,c_8]) ).
cnf(c_31,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_1 ),
inference(resolve,[status(thm)],[c_30,c_9]) ).
cnf(c_32,plain,
( ~ p_10
| ~ p_9
| ~ p_1 ),
inference(resolve,[status(thm)],[c_31,c_10]) ).
cnf(c_33,plain,
( ~ p_10
| ~ p_1 ),
inference(resolve,[status(thm)],[c_32,c_11]) ).
cnf(c_24,plain,
~ p_1,
inference(resolve,[status(thm)],[c_33,c_12]) ).
cnf(c_25,plain,
$false,
inference(resolve,[status(thm)],[c_24,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 17:10:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.35 % Process 2225475 was started by sandbox on n004,
% 0.07/0.35 % Sat Sep 26 17:10:21 2026
% 0.07/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.07/0.35
% 0.07/0.35 % From the command line: assign(max_seconds, 300).
% 0.07/0.36
% 0.07/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.36
% 0.07/0.36 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.07/0.36 % Length of proof is 15.
% 0.07/0.36 % Level of proof is 3.
% 0.07/0.36 % Maximum clause weight is 11.000.
% 0.07/0.36 % Given clauses 13.
% 0.07/0.36
% 0.07/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------