%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO056-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:23:56 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [U,V] : reflection(U,V) = extension(U,V,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [V,U,W] : V = extension(U,V,W,W),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
u = v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,plain,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f68,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f73,plain,
u = v,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f74,plain,
v != reflection(u,v),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f76,plain,
v != reflection(v,v),
inference(backward_demodulation,[status(thm)],[f73,f74]) ).
fof(f77,plain,
! [X0] : X0 = reflection(X0,X0),
inference(paramodulation,[status(thm)],[f57,f68]) ).
fof(f79,plain,
v != v,
inference(backward_demodulation,[status(thm)],[f77,f76]) ).
fof(f82,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO056-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.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 : Sun Sep 20 08:52:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.044711 seconds
% 0.10/0.42 % CPU time: 0.128128 seconds
% 0.10/0.42 % Total memory used: 76.521 MB
% 0.10/0.42 % Net memory used: 76.398 MB
%------------------------------------------------------------------------------