%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO022-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:23:48 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.40s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 17 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : equidistant(X,Y,Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,V,V2,W] :
( equidistant(Z,V,V2,W)
| ~ equidistant(X,Y,V2,W)
| ~ equidistant(X,Y,Z,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] : equidistant(X0,X1,X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [Z,V,V2,W] :
( equidistant(Z,V,V2,W)
| ! [X,Y] :
( ~ equidistant(X,Y,V2,W)
| ~ equidistant(X,Y,Z,V) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f44,plain,
equidistant(u,v,w,x),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f45,plain,
equidistant(w,x,y,z),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f46,plain,
~ equidistant(u,v,y,z),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f47,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,y,z)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[status(thm)],[f24,f46]) ).
fof(f48,plain,
~ equidistant(w,x,u,v),
inference(resolution,[status(thm)],[f47,f45]) ).
fof(f51,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,u,v)
| ~ equidistant(X0,X1,w,x) ),
inference(resolution,[status(thm)],[f48,f24]) ).
fof(f53,plain,
~ equidistant(u,v,u,v),
inference(resolution,[status(thm)],[f51,f44]) ).
fof(f94,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,u,v)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[status(thm)],[f53,f24]) ).
fof(f95,plain,
! [X0,X1] : ~ equidistant(X0,X1,u,v),
inference(duplicate_literals_removal,[status(thm)],[f94]) ).
fof(f98,plain,
$false,
inference(resolution,[status(thm)],[f95,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO022-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Sun Sep 20 08:17:39 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.40 % Refutation found
% 0.03/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.42 % Elapsed time: 0.060320 seconds
% 0.03/0.42 % CPU time: 0.220805 seconds
% 0.03/0.42 % Total memory used: 81.678 MB
% 0.03/0.42 % Net memory used: 81.132 MB
%------------------------------------------------------------------------------