%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:24:01 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 48 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [A,B] :
( ~ end_point(B,A)
| ~ closed(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( closed(A)
| end_point(ax0_sk6(A),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( end_point(ax0_sk7(A),A)
| ~ open(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [A,B] :
( end_point(ax0_sk11(A,B),B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [A,B] :
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [A,B] :
( ~ end_point(B,sk14)
| ~ end_point(A,sk14)
| A = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,plain,
! [A] :
( ! [B] : ~ end_point(B,A)
| ~ closed(A) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f91,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [X0] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f93,plain,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f105,plain,
! [X0,X1] :
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != ax0_sk11(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f115,plain,
open(sk14),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f116,plain,
! [B] :
( ~ end_point(B,sk14)
| ! [A] :
( ~ end_point(A,sk14)
| A = B ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f117,plain,
! [X0,X1] :
( ~ end_point(X1,sk14)
| ~ end_point(X0,sk14)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f122,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| end_point(ax0_sk6(X0),X0) ),
inference(resolution,[status(thm)],[f92,f91]) ).
fof(f123,plain,
end_point(ax0_sk7(sk14),sk14),
inference(resolution,[status(thm)],[f93,f115]) ).
fof(f126,plain,
! [X0] :
( ~ end_point(X0,sk14)
| X0 = ax0_sk7(sk14) ),
inference(resolution,[status(thm)],[f123,f117]) ).
fof(f142,plain,
ax0_sk7(sk14) != ax0_sk11(ax0_sk7(sk14),sk14),
inference(resolution,[status(thm)],[f106,f123]) ).
fof(f143,plain,
end_point(ax0_sk6(sk14),sk14),
inference(resolution,[status(thm)],[f122,f123]) ).
fof(f163,plain,
ax0_sk6(sk14) = ax0_sk7(sk14),
inference(resolution,[status(thm)],[f126,f143]) ).
fof(f165,plain,
! [X0] :
( ~ end_point(X0,sk14)
| X0 = ax0_sk6(sk14) ),
inference(backward_demodulation,[status(thm)],[f163,f126]) ).
fof(f174,plain,
ax0_sk6(sk14) != ax0_sk11(ax0_sk7(sk14),sk14),
inference(forward_demodulation,[status(thm)],[f163,f142]) ).
fof(f175,plain,
ax0_sk6(sk14) != ax0_sk11(ax0_sk6(sk14),sk14),
inference(forward_demodulation,[status(thm)],[f163,f174]) ).
fof(f176,plain,
end_point(ax0_sk11(ax0_sk6(sk14),sk14),sk14),
inference(resolution,[status(thm)],[f105,f143]) ).
fof(f211,plain,
ax0_sk11(ax0_sk6(sk14),sk14) = ax0_sk6(sk14),
inference(resolution,[status(thm)],[f165,f176]) ).
fof(f213,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f211,f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.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 10:22:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.44 % Elapsed time: 0.061557 seconds
% 0.15/0.44 % CPU time: 0.170952 seconds
% 0.15/0.44 % Total memory used: 81.283 MB
% 0.15/0.44 % Net memory used: 81.222 MB
%------------------------------------------------------------------------------