%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ008-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:00:14 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ008-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:45:47 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![X]: (safe(n0,X) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![X,Y]: (( ~ greater_or_equal(X,Y)| safe(X,Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,axiom,(
% 0.12/0.37 (![X]: (greater_or_equal(X,n0) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,axiom,(
% 0.12/0.37 (![X,Y]: (( greater_or_equal(s(X),s(Y))| ~ greater_or_equal(X,Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,axiom,(
% 0.12/0.37 (![X,Y,Z,W]: (( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(W))))| ~ safe(X,s(Y))| ~ safe(Z,W)| achievable(west(m(X),c(s(Y))),boatonwest,east(m(Z),c(W))) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,axiom,(
% 0.12/0.37 (![X,Y,Z,W]: (( ~ achievable(west(m(X),c(s(s(Y)))),boatonwest,east(m(Z),c(W)))| ~ safe(X,Y)| ~ safe(Z,s(s(W)))| achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(s(W))))) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f10,axiom,(
% 0.12/0.37 (![X,Y,Z,W]: (( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(W)))| ~ safe(s(X),Y)| ~ safe(Z,W)| achievable(west(m(s(X)),c(Y)),boatonwest,east(m(Z),c(W))) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f11,axiom,(
% 0.12/0.37 (![X,Y,Z,W]: (( ~ achievable(west(m(s(s(X))),c(Y)),boatonwest,east(m(Z),c(W)))| ~ safe(X,Y)| ~ safe(s(s(Z)),W)| achievable(west(m(X),c(Y)),boatoneast,east(m(s(s(Z))),c(W))) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f13,axiom,(
% 0.12/0.37 (![X,Y,Z,W]: (( ~ achievable(west(m(s(X)),c(s(Y))),boatonwest,east(m(Z),c(W)))| ~ safe(X,Y)| ~ safe(s(Z),s(W))| achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(s(W)))) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f14,axiom,(
% 0.12/0.37 (![X,Y,Z,W]: (( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(s(W))))| ~ safe(s(X),s(Y))| ~ safe(Z,W)| achievable(west(m(s(X)),c(s(Y))),boatonwest,east(m(Z),c(W))) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f15,hypothesis,(
% 0.12/0.37 achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f16,negated_conjecture,(
% 0.12/0.37 (![X]: (~ achievable(west(m(n0),c(n0)),X,east(m(s(s(s(n0)))),c(s(s(s(n0)))))) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 ![X0]: (safe(n0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f18,plain,(
% 0.12/0.37 ![X0,X1]: (~greater_or_equal(X0,X1)|safe(X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0]: (greater_or_equal(X0,n0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f20,plain,(
% 0.12/0.37 ![X0,X1]: (greater_or_equal(s(X0),s(X1))|~greater_or_equal(X0,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(X3))))|~safe(X0,s(X1))|~safe(X2,X3)|achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~achievable(west(m(X0),c(s(s(X1)))),boatonwest,east(m(X2),c(X3)))|~safe(X0,X1)|~safe(X2,s(s(X3)))|achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(s(X3))))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3)))|~safe(s(X0),X1)|~safe(X2,X3)|achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~achievable(west(m(s(s(X0))),c(X1)),boatonwest,east(m(X2),c(X3)))|~safe(X0,X1)|~safe(s(s(X2)),X3)|achievable(west(m(X0),c(X1)),boatoneast,east(m(s(s(X2))),c(X3))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.37 fof(f29,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3)))|~safe(X0,X1)|~safe(s(X2),s(X3))|achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3)))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.37 fof(f30,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))|~safe(s(X0),s(X1))|~safe(X2,X3)|achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.37 fof(f31,plain,(
% 0.12/0.37 achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.37 fof(f32,plain,(
% 0.12/0.37 ![X0]: (~achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.37 fof(f33,plain,(
% 0.12/0.37 ![X0]: (safe(X0,n0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f18,f19])).
% 0.12/0.37 fof(f34,plain,(
% 0.12/0.37 ![X0]: (greater_or_equal(s(X0),s(n0)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f20,f19])).
% 0.12/0.37 fof(f37,plain,(
% 0.12/0.37 ![X0]: (greater_or_equal(s(s(X0)),s(s(n0))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f34,f20])).
% 0.12/0.37 fof(f38,plain,(
% 0.12/0.37 ![X0]: (safe(s(X0),s(n0)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f34,f18])).
% 0.12/0.37 fof(f39,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),s(n0))|~safe(n0,s(s(n0)))|achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f23,f31])).
% 0.12/0.37 fof(f40,plain,(
% 0.12/0.37 ~safe(n0,s(s(n0)))|achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f39,f38])).
% 0.12/0.37 fof(f45,plain,(
% 0.12/0.37 achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f40,f17])).
% 0.12/0.37 fof(f47,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),s(s(n0)))|~safe(n0,s(n0))|achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f45,f22])).
% 0.12/0.37 fof(f48,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),s(s(n0)))|achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f47,f17])).
% 0.12/0.37 fof(f49,plain,(
% 0.12/0.37 ![X0]: (greater_or_equal(s(s(s(X0))),s(s(s(n0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f37,f20])).
% 0.12/0.37 fof(f50,plain,(
% 0.12/0.37 ![X0]: (safe(s(s(X0)),s(s(n0))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f37,f18])).
% 0.12/0.37 fof(f54,plain,(
% 0.12/0.37 ![X0]: (safe(s(s(s(X0))),s(s(s(n0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f49,f18])).
% 0.12/0.37 fof(f55,plain,(
% 0.12/0.37 achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f48,f50])).
% 0.12/0.37 fof(f57,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~achievable(west(m(s(X0)),c(s(n0))),boatoneast,east(m(s(X1)),c(s(X2))))|~safe(X1,X2)|achievable(west(m(s(s(X0))),c(s(s(n0)))),boatonwest,east(m(X1),c(X2))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f50,f30])).
% 0.12/0.37 fof(f60,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(s(s(X2))),c(s(s(n0)))))|~safe(X0,X1)|achievable(west(m(X0),c(X1)),boatoneast,east(m(s(s(s(X2)))),c(s(s(s(n0)))))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f54,f29])).
% 0.12/0.37 fof(f68,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),n0)|~safe(n0,s(s(s(n0))))|achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f55,f23])).
% 0.12/0.37 fof(f72,plain,(
% 0.12/0.37 ~safe(n0,s(s(s(n0))))|achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f68,f33])).
% 0.12/0.37 fof(f79,plain,(
% 0.12/0.37 achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f72,f17])).
% 0.12/0.37 fof(f81,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),s(n0))|~safe(n0,s(s(n0)))|achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f79,f22])).
% 0.12/0.37 fof(f82,plain,(
% 0.12/0.37 ~safe(n0,s(s(n0)))|achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f81,f38])).
% 0.12/0.37 fof(f83,plain,(
% 0.12/0.37 achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f82,f17])).
% 0.12/0.37 fof(f84,plain,(
% 0.12/0.37 ~safe(s(n0),s(n0))|~safe(s(s(n0)),s(s(n0)))|achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f83,f27])).
% 0.12/0.37 fof(f87,plain,(
% 0.12/0.37 ~safe(s(s(n0)),s(s(n0)))|achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f84,f38])).
% 0.12/0.37 fof(f89,plain,(
% 0.12/0.37 achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f87,f50])).
% 0.12/0.37 fof(f103,plain,(
% 0.12/0.37 ~safe(s(n0),s(n0))|achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f57,f89])).
% 0.12/0.37 fof(f104,plain,(
% 0.12/0.37 achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f103,f38])).
% 0.12/0.37 fof(f106,plain,(
% 0.12/0.37 ~safe(n0,s(s(n0)))|~safe(s(s(s(n0))),s(n0))|achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f104,f27])).
% 0.12/0.37 fof(f111,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),s(n0))|achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f106,f17])).
% 0.12/0.37 fof(f113,plain,(
% 0.12/0.37 achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f111,f38])).
% 0.12/0.37 fof(f116,plain,(
% 0.12/0.37 ~safe(n0,s(s(s(n0))))|~safe(s(s(s(n0))),n0)|achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f113,f22])).
% 0.12/0.37 fof(f117,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),n0)|achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f116,f17])).
% 0.12/0.37 fof(f118,plain,(
% 0.12/0.37 achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f117,f33])).
% 0.12/0.37 fof(f119,plain,(
% 0.12/0.37 ~safe(n0,s(n0))|~safe(s(s(s(n0))),s(s(n0)))|achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f118,f23])).
% 0.12/0.37 fof(f121,plain,(
% 0.12/0.37 ~safe(s(s(s(n0))),s(s(n0)))|achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f119,f17])).
% 0.12/0.37 fof(f122,plain,(
% 0.12/0.37 achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f121,f50])).
% 0.12/0.37 fof(f124,plain,(
% 0.12/0.37 ~safe(s(n0),s(n0))|~safe(s(s(n0)),s(s(n0)))|achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f122,f26])).
% 0.12/0.37 fof(f127,plain,(
% 0.12/0.37 ~safe(s(s(n0)),s(s(n0)))|achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f124,f38])).
% 0.12/0.37 fof(f129,plain,(
% 0.12/0.37 achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f127,f50])).
% 0.12/0.37 fof(f130,plain,(
% 0.12/0.37 ~safe(n0,n0)|achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f129,f60])).
% 0.12/0.37 fof(f133,plain,(
% 0.12/0.37 achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f130,f17])).
% 0.12/0.37 fof(f139,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f133,f32])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 1.27/1.60 % Elapsed time: 1.021239 seconds
% 1.27/1.60 % CPU time: 0.082639 seconds
% 1.27/1.60 % Total memory used: 11.550 MB
% 1.27/1.60 % Net memory used: 11.513 MB
%------------------------------------------------------------------------------