%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:23:58 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.90s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 59 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
! [U,V,W] :
( colinear(W,V,U)
| ~ colinear(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [U,V,W] :
( colinear(V,W,U)
| ~ colinear(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [U,V,W] :
( colinear(W,U,V)
| ~ colinear(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [U,V,W] :
( colinear(V,U,W)
| ~ colinear(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f102,axiom,
! [U,V,W,X] :
( U = V
| colinear(U,W,X)
| ~ colinear(U,V,X)
| ~ colinear(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,hypothesis,
colinear(w,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,hypothesis,
colinear(x,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f233,plain,
! [X0,X1,X2] :
( colinear(X2,X1,X0)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f234,plain,
! [X0,X1,X2] :
( colinear(X1,X2,X0)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f236,plain,
! [X0,X1,X2] :
( colinear(X2,X0,X1)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f237,plain,
! [X0,X1,X2] :
( colinear(X1,X0,X2)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f246,plain,
! [U,V] :
( U = V
| ! [W,X] :
( colinear(U,W,X)
| ~ colinear(U,V,X)
| ~ colinear(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| colinear(X0,X2,X3)
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f250,plain,
u != v,
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f251,plain,
colinear(w,v,u),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f252,plain,
colinear(x,v,u),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f253,plain,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f275,plain,
colinear(v,u,x),
inference(resolution,[status(thm)],[f234,f252]) ).
fof(f276,plain,
colinear(v,u,w),
inference(resolution,[status(thm)],[f234,f251]) ).
fof(f402,plain,
! [X0] :
( v = u
| colinear(v,w,X0)
| ~ colinear(v,u,X0) ),
inference(resolution,[status(thm)],[f247,f276]) ).
fof(f410,plain,
! [X0] :
( w = v
| colinear(w,u,X0)
| ~ colinear(w,v,X0) ),
inference(resolution,[status(thm)],[f247,f251]) ).
fof(f414,plain,
! [X0] :
( colinear(v,w,X0)
| ~ colinear(v,u,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f250]) ).
fof(f924,plain,
colinear(v,w,x),
inference(resolution,[status(thm)],[f414,f275]) ).
fof(f933,plain,
colinear(w,v,x),
inference(resolution,[status(thm)],[f924,f237]) ).
fof(f937,plain,
colinear(x,w,v),
inference(resolution,[status(thm)],[f924,f233]) ).
fof(f952,plain,
( w = v
| colinear(w,u,x) ),
inference(resolution,[status(thm)],[f933,f410]) ).
fof(f987,plain,
~ colinear(x,w,u),
inference(backward_subsumption_resolution,[status(thm)],[f253,f937]) ).
fof(f1099,plain,
( colinear(x,w,u)
| w = v ),
inference(resolution,[status(thm)],[f952,f236]) ).
fof(f1104,plain,
w = v,
inference(forward_subsumption_resolution,[status(thm)],[f1099,f987]) ).
fof(f1108,plain,
~ colinear(x,v,u),
inference(backward_demodulation,[status(thm)],[f1104,f987]) ).
fof(f1126,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1108,f252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.48 % Computer : n011.cluster.edu
% 0.15/0.48 % Model : x86_64 x86_64
% 0.15/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.48 % Memory : 8046.5625MB
% 0.15/0.48 % OS : Linux 6.8.0-71-generic
% 0.15/0.48 % CPULimit : 300
% 0.15/0.48 % WCLimit : 300
% 0.15/0.48 % DateTime : Sun Sep 20 09:31:40 UTC 2026
% 0.15/0.48 % CPUTime :
% 0.15/0.50 % Drodi V4.1.1
% 0.22/0.90 % Refutation found
% 0.22/0.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.54/0.92 % Elapsed time: 0.419442 seconds
% 1.54/0.92 % CPU time: 2.898067 seconds
% 1.54/0.92 % Total memory used: 118.014 MB
% 1.54/0.92 % Net memory used: 116.260 MB
%------------------------------------------------------------------------------