%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:23:57 PM UTC 2026
% Result : Unsatisfiable 6.08s 27.02s
% Output : CNFRefutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 26 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [U1,W1,U,V] : insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,X,Y,Z,U,V] :
( U = V
| extension(U,V,W,X) = extension(U,V,Y,Z)
| ~ equidistant(W,X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [V,U] : V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,plain,
! [X0,X1,X2,X3] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f125,plain,
! [U,V] :
( U = V
| ! [W,X,Y,Z] :
( extension(U,V,W,X) = extension(U,V,Y,Z)
| ~ equidistant(W,X,Y,Z) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5] :
( X4 = X5
| extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f158,plain,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f177,plain,
equidistant(w,x,y,z),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f178,plain,
insertion(u,v,w,x) != insertion(u,v,y,z),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f857,plain,
! [X0,X1] :
( X0 = X1
| extension(X0,X1,w,x) = extension(X0,X1,y,z) ),
inference(resolution,[status(thm)],[f126,f177]) ).
fof(f1276,plain,
! [X0,X1] :
( extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) = X1
| extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,w,x) = insertion(X1,X0,y,z) ),
inference(paramodulation,[status(thm)],[f100,f857]) ).
fof(f1289,plain,
! [X0,X1] :
( extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) = X0
| insertion(X0,X1,w,x) = insertion(X0,X1,y,z) ),
inference(forward_demodulation,[status(thm)],[f100,f1276]) ).
fof(f1290,plain,
insertion(u,v,w,x) != insertion(u,v,w,x),
inference(backward_demodulation,[status(thm)],[f1298,f178]) ).
fof(f1298,plain,
! [X0,X1] : insertion(X0,X1,w,x) = insertion(X0,X1,y,z),
inference(forward_subsumption_resolution,[status(thm)],[f1289,f158]) ).
fof(f1311,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/25.48 % Computer : n008.cluster.edu
% 0.18/25.48 % Model : x86_64 x86_64
% 0.18/25.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/25.48 % Memory : 8046.5625MB
% 0.18/25.48 % OS : Linux 6.8.0-71-generic
% 0.18/25.48 % CPULimit : 300
% 0.18/25.48 % WCLimit : 300
% 0.18/25.48 % DateTime : Sun Sep 20 09:14:21 UTC 2026
% 0.18/25.48 % CPUTime :
% 0.23/25.50 % Drodi V4.1.1
% 6.08/27.02 % Refutation found
% 6.08/27.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.08/27.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.08/27.04 % Elapsed time: 1.536814 seconds
% 6.08/27.04 % CPU time: 11.781534 seconds
% 6.08/27.04 % Total memory used: 148.429 MB
% 6.08/27.04 % Net memory used: 142.013 MB
%------------------------------------------------------------------------------