%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 52 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 35 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [W,V,U] :
( colinear(U,V,W)
| ~ between(W,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [U,W,V] :
( colinear(U,V,W)
| ~ between(U,W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,axiom,
! [V,U,W] :
( colinear(U,V,W)
| ~ between(V,U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
( x = y
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f156,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f221,plain,
! [X0,X1,X2] :
( colinear(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f222,plain,
! [X0,X1,X2] :
( colinear(X0,X2,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f223,plain,
! [X0,X1,X2] :
( colinear(X1,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f230,plain,
( x = y
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f231,plain,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f235,plain,
! [X0,X1] : colinear(X0,X1,X0),
inference(resolution,[status(thm)],[f156,f223]) ).
fof(f236,plain,
! [X0,X1] : colinear(X0,X1,X1),
inference(resolution,[status(thm)],[f156,f222]) ).
fof(f237,plain,
! [X0,X1] : colinear(X0,X0,X1),
inference(resolution,[status(thm)],[f156,f221]) ).
fof(f243,plain,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[f231,f235]) ).
fof(f244,plain,
( x = y
| ~ colinear(y,x,x)
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[f230,f235]) ).
fof(f246,plain,
( ~ colinear(x,z,y)
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[f243,f236]) ).
fof(f247,plain,
( x = y
| ~ colinear(x,x,y) ),
inference(backward_subsumption_resolution,[status(thm)],[f244,f236]) ).
fof(f272,plain,
x = y,
inference(forward_subsumption_resolution,[status(thm)],[f247,f237]) ).
fof(f273,plain,
( ~ colinear(x,z,y)
| ~ colinear(y,x,y) ),
inference(forward_demodulation,[status(thm)],[f272,f246]) ).
fof(f274,plain,
( ~ colinear(x,z,y)
| ~ colinear(y,y,y) ),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f275,plain,
( ~ colinear(y,z,y)
| ~ colinear(y,y,y) ),
inference(forward_demodulation,[status(thm)],[f272,f274]) ).
fof(f276,plain,
~ colinear(y,z,y),
inference(forward_subsumption_resolution,[status(thm)],[f275,f237]) ).
fof(f279,plain,
$false,
inference(resolution,[status(thm)],[f276,f235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 09:30:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.060013 seconds
% 0.09/0.44 % CPU time: 0.159869 seconds
% 0.09/0.44 % Total memory used: 104.552 MB
% 0.09/0.44 % Net memory used: 104.481 MB
%------------------------------------------------------------------------------