%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET043-5 : 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 : 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 08:35:28 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_1,axiom,
! [VAR_0] :
( ~ element(VAR_0,VAR_0)
| ~ element(VAR_0,a) ),
file('theBenchmark.p',clause_1) ).
cnf(c_1,plain,
( ~ element(A,A)
| ~ element(A,a) ),
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_2,axiom,
! [VAR_0] :
( element(VAR_0,a)
| element(VAR_0,VAR_0) ),
file('theBenchmark.p',clause_2) ).
cnf(c_2,plain,
( element(A,a)
| element(A,A) ),
inference(clausify,[status(thm)],[clause_2]) ).
cnf(c_3,plain,
~ element(a,a),
inference(factor,[status(thm)],[c_1]) ).
cnf(c_5,plain,
element(a,a),
inference(factor,[status(thm)],[c_2]) ).
cnf(c_4,plain,
$false,
inference(resolve,[status(thm)],[c_3,c_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET043-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 07:00:38 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.38 % Process 2268098 was started by sandbox on n003,
% 0.02/0.38 % Sat Sep 26 07:00:38 2026
% 0.02/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.02/0.38
% 0.02/0.38 % From the command line: assign(max_seconds, 300).
% 0.02/0.39
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.39
% 0.02/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.02/0.39 % Length of proof is 4.
% 0.02/0.39 % Level of proof is 2.
% 0.02/0.39 % Maximum clause weight is 6.000.
% 0.02/0.39 % Given clauses 0.
% 0.02/0.39
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------