%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 09:39:12 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.65s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm31_3,axiom,
! [VAR_0] :
( ~ r(VAR_0)
| s(VAR_0) ),
file('theBenchmark.p',thm31_3) ).
cnf(c_1,plain,
( ~ r(A)
| s(A) ),
inference(clausify,[status(thm)],[thm31_3]) ).
fof(thm31_4,axiom,
( r(sk2)
| r(sk1) ),
file('theBenchmark.p',thm31_4) ).
cnf(c_2,plain,
( r(sk2)
| r(sk1) ),
inference(clausify,[status(thm)],[thm31_4]) ).
fof(thm31_9,axiom,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
file('theBenchmark.p',thm31_9) ).
cnf(c_3,plain,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
inference(clausify,[status(thm)],[thm31_9]) ).
fof(thm31_10,axiom,
( ~ s(sk1)
| r(sk2) ),
file('theBenchmark.p',thm31_10) ).
cnf(c_4,plain,
( ~ s(sk1)
| r(sk2) ),
inference(clausify,[status(thm)],[thm31_10]) ).
fof(thm31_15,axiom,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
file('theBenchmark.p',thm31_15) ).
cnf(c_5,plain,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
inference(clausify,[status(thm)],[thm31_15]) ).
cnf(c_6,plain,
( s(sk1)
| r(sk2) ),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_14,plain,
( r(sk2)
| r(sk2) ),
inference(resolve,[status(thm)],[c_6,c_4]) ).
cnf(c_7,plain,
r(sk2),
inference(copy,[status(thm)],[c_14]) ).
cnf(c_8,plain,
( ~ s(sk2)
| ~ s(sk1) ),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_9,plain,
( ~ s(sk2)
| r(sk1) ),
inference(resolve,[status(thm)],[c_7,c_3]) ).
cnf(c_10,plain,
s(sk2),
inference(resolve,[status(thm)],[c_7,c_1]) ).
cnf(c_11,plain,
r(sk1),
inference(resolve,[status(thm)],[c_10,c_9]) ).
cnf(c_12,plain,
~ s(sk1),
inference(resolve,[status(thm)],[c_10,c_8]) ).
cnf(c_15,plain,
s(sk1),
inference(resolve,[status(thm)],[c_11,c_1]) ).
cnf(c_13,plain,
$false,
inference(resolve,[status(thm)],[c_12,c_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.63 % Computer : n009.cluster.edu
% 0.17/0.63 % Model : x86_64 x86_64
% 0.17/0.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.63 % Memory : 8046.5625MB
% 0.17/0.63 % OS : Linux 6.8.0-71-generic
% 0.17/0.63 % CPULimit : 300
% 0.17/0.63 % WCLimit : 300
% 0.17/0.63 % DateTime : Sat Sep 26 18:21:59 UTC 2026
% 0.17/0.63 % CPUTime :
% 0.17/0.64 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.64 % Process 838871 was started by sandbox on n009,
% 0.17/0.64 % Sat Sep 26 18:21:59 2026
% 0.17/0.64 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.64
% 0.17/0.64 % From the command line: assign(max_seconds, 300).
% 0.22/0.65
% 0.22/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.65
% 0.22/0.65 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.22/0.65 % Length of proof is 13.
% 0.22/0.65 % Level of proof is 5.
% 0.22/0.65 % Maximum clause weight is 6.000.
% 0.22/0.65 % Given clauses 10.
% 0.22/0.65
% 0.22/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------