%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP161-1 : 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 : n001.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 07:28:09 AM UTC 2026
% Result : Unsatisfiable 0.11s 5.48s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(idempotence_of_gld,axiom,
! [VAR_0] : greatest_lower_bound(VAR_0,VAR_0) = VAR_0,
file('theBenchmark.p',idempotence_of_gld) ).
cnf(c_11,plain,
greatest_lower_bound(A,A) = A,
inference(clausify,[status(thm)],[idempotence_of_gld]) ).
fof(prove_ax_reflb,axiom,
greatest_lower_bound(a,a) != a,
file('theBenchmark.p',prove_ax_reflb) ).
cnf(c_22,plain,
greatest_lower_bound(a,a) != a,
inference(clausify,[status(thm)],[prove_ax_reflb]) ).
cnf(c_24,plain,
a != a,
inference(paramod,[status(thm)],[c_11,c_22]) ).
cnf(c_23,plain,
$false,
inference(copy,[status(thm)],[c_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP161-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.45 % Computer : n001.cluster.edu
% 0.11/5.45 % Model : x86_64 x86_64
% 0.11/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.45 % Memory : 8046.5625MB
% 0.11/5.45 % OS : Linux 6.8.0-71-generic
% 0.11/5.45 % CPULimit : 300
% 0.11/5.45 % WCLimit : 300
% 0.11/5.45 % DateTime : Fri Sep 25 14:38:31 UTC 2026
% 0.11/5.46 % CPUTime :
% 0.11/5.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.46 % Process 3537587 was started by sandbox on n001,
% 0.11/5.46 % Fri Sep 25 14:38:31 2026
% 0.11/5.46 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/5.47
% 0.11/5.47 % From the command line: assign(max_seconds, 300).
% 0.11/5.48
% 0.11/5.48 % SZS status Unsatisfiable for theBenchmark
% 0.11/5.48
% 0.11/5.48 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/5.48 % Length of proof is 3.
% 0.11/5.48 % Level of proof is 1.
% 0.11/5.48 % Maximum clause weight is 5.000.
% 0.11/5.48 % Given clauses 0.
% 0.11/5.48
% 0.11/5.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------