%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:59:50 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,Y,Z,W] :
( achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(W)))
| ~ achievable(west(m(s(X)),c(Y)),boatonwest,east(m(Z),c(W))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z,W] : achievable(west(X,Y),Z,east(m(s(W)),c(s(s(W))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X] : ~ achievable(west(m(n0),c(n0)),X,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3)))
| ~ achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3))) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : achievable(west(X0,X1),X2,east(m(s(X3)),c(s(s(X3))))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
! [X0] : ~ achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f36,plain,
~ achievable(west(m(s(n0)),c(n0)),boatonwest,east(m(s(s(n0))),c(s(s(s(n0)))))),
inference(resolution,[status(thm)],[f21,f32]) ).
fof(f37,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f36,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:45:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.051298 seconds
% 0.14/0.43 % CPU time: 0.146547 seconds
% 0.14/0.43 % Total memory used: 56.067 MB
% 0.14/0.43 % Net memory used: 55.771 MB
%------------------------------------------------------------------------------