%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /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 : Thu Sep 24 01:25:36 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
v600 != v800,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
w = v600,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
w = v800,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,plain,
v600 != v800,
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f119,plain,
w = v600,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f120,plain,
w = v800,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f130,plain,
w != v800,
inference(backward_demodulation,[status(thm)],[f119,f118]) ).
fof(f133,plain,
w != w,
inference(forward_demodulation,[status(thm)],[f120,f130]) ).
fof(f134,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 01:25:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.032809 seconds
% 0.09/0.41 % CPU time: 0.087800 seconds
% 0.09/0.41 % Total memory used: 2.843 MB
% 0.09/0.41 % Net memory used: 2.769 MB
%------------------------------------------------------------------------------