%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO053-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:23:55 PM UTC 2026
% Result : Unsatisfiable 3.77s 0.99s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 24 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U,V,W] :
( V = insertion(U,W,U,V)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [W,X,Y,Z,U,V] :
( insertion(U,V,W,X) = insertion(U,V,Y,Z)
| ~ equidistant(W,X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,hypothesis,
equidistant(u,v,u,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f185,plain,
! [X0,X1,X2] :
( X1 = insertion(X0,X2,X0,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f186,plain,
! [W,X,Y,Z] :
( ! [U,V] : insertion(U,V,W,X) = insertion(U,V,Y,Z)
| ~ equidistant(W,X,Y,Z) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4,X5] :
( insertion(X4,X5,X0,X1) = insertion(X4,X5,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f202,plain,
between(u,v,w),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f203,plain,
equidistant(u,v,u,w),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f204,plain,
v != w,
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f1483,plain,
v = insertion(u,w,u,v),
inference(resolution,[status(thm)],[f185,f202]) ).
fof(f1487,plain,
! [X0,X1] : X0 = insertion(X1,X0,X1,X0),
inference(resolution,[status(thm)],[f185,f139]) ).
fof(f1497,plain,
! [X0,X1] : insertion(X0,X1,u,v) = insertion(X0,X1,u,w),
inference(resolution,[status(thm)],[f187,f203]) ).
fof(f1857,plain,
insertion(u,w,u,v) = w,
inference(paramodulation,[status(thm)],[f1487,f1497]) ).
fof(f1860,plain,
v = w,
inference(forward_demodulation,[status(thm)],[f1483,f1857]) ).
fof(f1861,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1860,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO053-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 08:48:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 3.77/0.99 % Refutation found
% 3.77/0.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.77/0.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.77/0.99 % Elapsed time: 0.601343 seconds
% 3.77/0.99 % CPU time: 4.468059 seconds
% 3.77/0.99 % Total memory used: 130.652 MB
% 3.77/0.99 % Net memory used: 126.259 MB
%------------------------------------------------------------------------------