%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 01:59:53 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.31s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 45 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Y,X] :
( borders(X,Y)
| ~ borders(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
ocean(southern),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
state(south_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
state(victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
borders(south_australia,victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
borders(southern,south_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
borders(southern,victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [State1,State2,Ocean] :
( ~ ocean(Ocean)
| ~ borders(State2,Ocean)
| ~ borders(State1,Ocean)
| ~ borders(State1,State2)
| ~ state(State2)
| ~ state(State1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,plain,
! [X0,X1] :
( borders(X1,X0)
| ~ borders(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
ocean(southern),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f42,plain,
state(south_australia),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
state(victoria),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f51,plain,
borders(south_australia,victoria),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f59,plain,
borders(southern,south_australia),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f60,plain,
borders(southern,victoria),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f66,plain,
! [Ocean] :
( ~ ocean(Ocean)
| ! [State2] :
( ~ borders(State2,Ocean)
| ! [State1] :
( ~ borders(State1,Ocean)
| ~ borders(State1,State2)
| ~ state(State2)
| ~ state(State1) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ ocean(X2)
| ~ borders(X1,X2)
| ~ borders(X0,X2)
| ~ borders(X0,X1)
| ~ state(X1)
| ~ state(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ borders(X1,southern)
| ~ borders(X0,southern)
| ~ borders(X0,X1)
| ~ state(X1)
| ~ state(X0) ),
inference(resolution,[status(thm)],[f67,f38]) ).
fof(f72,plain,
! [X0,X1] :
( ~ borders(southern,X1)
| ~ borders(X0,southern)
| ~ borders(X0,X1)
| ~ state(X1)
| ~ state(X0) ),
inference(resolution,[status(thm)],[f68,f34]) ).
fof(f76,plain,
! [X0,X1] :
( ~ borders(southern,X0)
| ~ borders(southern,X1)
| ~ borders(X0,X1)
| ~ state(X1)
| ~ state(X0) ),
inference(resolution,[status(thm)],[f72,f34]) ).
fof(f81,plain,
! [X0] :
( ~ borders(southern,X0)
| ~ borders(X0,victoria)
| ~ state(victoria)
| ~ state(X0) ),
inference(resolution,[status(thm)],[f76,f60]) ).
fof(f86,plain,
! [X0] :
( ~ borders(southern,X0)
| ~ borders(X0,victoria)
| ~ state(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f44]) ).
fof(f110,plain,
( ~ borders(south_australia,victoria)
| ~ state(south_australia) ),
inference(resolution,[status(thm)],[f86,f59]) ).
fof(f115,plain,
~ borders(south_australia,victoria),
inference(forward_subsumption_resolution,[status(thm)],[f110,f42]) ).
fof(f119,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f115,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 03:44:52 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.31 % Refutation found
% 0.03/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.34 % Elapsed time: 0.030557 seconds
% 0.18/0.34 % CPU time: 0.093501 seconds
% 0.18/0.34 % Total memory used: 54.667 MB
% 0.18/0.34 % Net memory used: 54.395 MB
%------------------------------------------------------------------------------