%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO035-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:23:51 PM UTC 2026
% Result : Unsatisfiable 0.10s 10.59s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y,Z] :
( X = Y
| ~ equidistant(X,Y,Z,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
v != extension(u,v,w,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X,Y] :
( X = Y
| ! [Z] : ~ equidistant(X,Y,Z,Z) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f33,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f61,plain,
v != extension(u,v,w,w),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f62,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f33,f35]) ).
fof(f65,plain,
v != v,
inference(backward_demodulation,[status(thm)],[f62,f61]) ).
fof(f68,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO035-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.55 % Computer : n017.cluster.edu
% 0.10/10.55 % Model : x86_64 x86_64
% 0.10/10.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.55 % Memory : 8046.5625MB
% 0.10/10.55 % OS : Linux 6.8.0-71-generic
% 0.10/10.55 % CPULimit : 300
% 0.10/10.55 % WCLimit : 300
% 0.10/10.55 % DateTime : Sun Sep 20 08:24:08 UTC 2026
% 0.10/10.55 % CPUTime :
% 0.10/10.57 % Drodi V4.1.1
% 0.10/10.59 % Refutation found
% 0.10/10.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/10.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/10.61 % Elapsed time: 0.044588 seconds
% 0.15/10.61 % CPU time: 0.114731 seconds
% 0.15/10.61 % Total memory used: 47.795 MB
% 0.15/10.61 % Net memory used: 47.666 MB
%------------------------------------------------------------------------------