%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV011-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 09:06:38 AM UTC 2026
% Result : Unsatisfiable 0.17s 5.60s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1_17,axiom,
! [VAR_0] :
( ~ b_holds(key(VAR_0,a))
| ~ a_holds(key(VAR_0,b)) ),
file('theBenchmark.p',co1_17) ).
cnf(c_1,plain,
( ~ b_holds(key(A,a))
| ~ a_holds(key(A,b)) ),
inference(clausify,[status(thm)],[co1_17]) ).
fof(ax1_11,axiom,
b_holds(key(generate_key(an_a_nonce),a)),
file('theBenchmark.p',ax1_11) ).
cnf(c_2,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(clausify,[status(thm)],[ax1_11]) ).
fof(ax3_13,axiom,
a_holds(key(generate_key(an_a_nonce),b)),
file('theBenchmark.p',ax3_13) ).
cnf(c_3,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(clausify,[status(thm)],[ax3_13]) ).
cnf(c_4,plain,
~ a_holds(key(generate_key(an_a_nonce),b)),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_5,plain,
$false,
inference(resolve,[status(thm)],[c_3,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.58 % Computer : n026.cluster.edu
% 0.13/5.58 % Model : x86_64 x86_64
% 0.13/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.58 % Memory : 8046.5625MB
% 0.13/5.58 % OS : Linux 6.8.0-71-generic
% 0.13/5.59 % CPULimit : 300
% 0.13/5.59 % WCLimit : 300
% 0.13/5.59 % DateTime : Sat Sep 26 13:08:17 UTC 2026
% 0.13/5.59 % CPUTime :
% 0.13/5.59 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/5.59 % Process 1057185 was started by sandbox2 on n026,
% 0.13/5.59 % Sat Sep 26 13:08:17 2026
% 0.13/5.59 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/5.60
% 0.13/5.60 % From the command line: assign(max_seconds, 300).
% 0.17/5.60
% 0.17/5.60 % SZS status Unsatisfiable for theBenchmark
% 0.17/5.60
% 0.17/5.60 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/5.60 % Length of proof is 5.
% 0.17/5.60 % Level of proof is 2.
% 0.17/5.60 % Maximum clause weight is 0.000.
% 0.17/5.60 % Given clauses 0.
% 0.17/5.60
% 0.17/5.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------