%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO022-3 : 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 12:23:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 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 : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [U,V,W,X] :
( equidistant(W,X,V,U)
| ~ equidistant(U,V,W,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [U,V,W,X] :
( equidistant(X,W,V,U)
| ~ equidistant(U,V,W,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,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(f32,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)],[f31]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( equidistant(X2,X3,X1,X0)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( equidistant(X3,X2,X1,X0)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f60,plain,
equidistant(u,v,w,x),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f61,plain,
equidistant(w,x,y,z),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f62,plain,
~ equidistant(u,v,y,z),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f68,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,y,z)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[status(thm)],[f32,f62]) ).
fof(f147,plain,
equidistant(y,z,x,w),
inference(resolution,[status(thm)],[f57,f61]) ).
fof(f148,plain,
equidistant(w,x,v,u),
inference(resolution,[status(thm)],[f57,f60]) ).
fof(f158,plain,
equidistant(x,w,z,y),
inference(resolution,[status(thm)],[f147,f57]) ).
fof(f160,plain,
equidistant(v,u,x,w),
inference(resolution,[status(thm)],[f148,f57]) ).
fof(f188,plain,
equidistant(z,y,w,x),
inference(resolution,[status(thm)],[f158,f57]) ).
fof(f190,plain,
equidistant(x,w,u,v),
inference(resolution,[status(thm)],[f160,f57]) ).
fof(f194,plain,
~ equidistant(x,w,y,z),
inference(resolution,[status(thm)],[f190,f68]) ).
fof(f197,plain,
~ equidistant(z,y,w,x),
inference(resolution,[status(thm)],[f194,f59]) ).
fof(f204,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f197,f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO022-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 08:12:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % 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: 0.056017 seconds
% 0.10/0.42 % CPU time: 0.189402 seconds
% 0.10/0.42 % Total memory used: 76.305 MB
% 0.10/0.42 % Net memory used: 76.006 MB
%------------------------------------------------------------------------------