%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : PUZ008-3 : TPTP v8.1.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 18:18:51 EDT 2022 % Result : Unsatisfiable 0.12s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : PUZ008-3 : TPTP v8.1.0. Released v1.2.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun May 29 01:01:12 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.35 % SZS status Unsatisfiable % 0.12/0.35 % SZS output begin IncompleteProof % 0.12/0.35 cnf(c0, axiom, % 0.12/0.35 ~achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0))))))). % 0.12/0.35 cnf(c1, plain, % 0.12/0.35 ~achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))), % 0.12/0.35 inference(start, [], [c0])). % 0.12/0.35 % 0.12/0.35 cnf(c2, axiom, % 0.12/0.35 achievable(west(m(X1),c(X2)),boatoneast,east(m(s(X3)),c(s(X4)))) | ~safe(s(X3),s(X4)) | ~safe(X1,X2) | ~achievable(west(m(s(X1)),c(s(X2))),boatonwest,east(m(X3),c(X4)))). % 0.12/0.35 cnf(a0, assumption, % 0.12/0.35 west(m(n0),c(n0)) = west(m(X1),c(X2))). % 0.12/0.35 cnf(a1, assumption, % 0.12/0.35 X0 = boatoneast). % 0.12/0.35 cnf(a2, assumption, % 0.12/0.35 east(m(s(s(s(n0)))),c(s(s(s(n0))))) = east(m(s(X3)),c(s(X4)))). % 0.12/0.35 cnf(c3, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.35 cnf(c4, plain, % 0.12/0.35 ~safe(s(X3),s(X4)) | ~safe(X1,X2) | ~achievable(west(m(s(X1)),c(s(X2))),boatonwest,east(m(X3),c(X4))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.35 % 0.12/0.35 cnf(c5, axiom, % 0.12/0.35 safe(X5,X6) | ~greater_or_equal(X5,X6)). % 0.12/0.35 cnf(a3, assumption, % 0.12/0.35 s(X3) = X5). % 0.12/0.35 cnf(a4, assumption, % 0.12/0.35 s(X4) = X6). % 0.12/0.35 cnf(c6, plain, % 0.12/0.35 ~safe(X1,X2) | ~achievable(west(m(s(X1)),c(s(X2))),boatonwest,east(m(X3),c(X4))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.12/0.35 cnf(c7, plain, % 0.12/0.35 ~greater_or_equal(X5,X6), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.12/0.35 % 0.12/0.35 cnf(c8, axiom, % 0.12/0.35 ~greater_or_equal(X7,X8) | greater_or_equal(s(X7),s(X8))). % 0.12/0.35 cnf(a5, assumption, % 0.12/0.35 X5 = s(X7)). % 0.12/0.35 cnf(a6, assumption, % 0.12/0.35 X6 = s(X8)). % 0.12/0.35 cnf(c9, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.12/0.35 cnf(c10, plain, % 0.12/0.35 ~greater_or_equal(X7,X8), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.12/0.35 % 0.12/0.35 cnf(c11, axiom, % 0.12/0.35 ~greater_or_equal(X9,X10) | greater_or_equal(s(X9),s(X10))). % 0.12/0.35 cnf(a7, assumption, % 0.12/0.35 X7 = s(X9)). % 0.12/0.35 cnf(a8, assumption, % 0.12/0.35 X8 = s(X10)). % 0.12/0.35 cnf(c12, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.12/0.35 cnf(c13, plain, % 0.12/0.35 ~greater_or_equal(X9,X10), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.12/0.35 % 0.12/0.35 cnf(c14, axiom, % 0.12/0.35 ~greater_or_equal(X11,X12) | greater_or_equal(s(X11),s(X12))). % 0.12/0.35 cnf(a9, assumption, % 0.12/0.35 X9 = s(X11)). % 0.12/0.35 cnf(a10, assumption, % 0.12/0.35 X10 = s(X12)). % 0.12/0.35 cnf(c15, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10])], [c13, c14])). % 0.12/0.35 cnf(c16, plain, % 0.12/0.35 ~greater_or_equal(X11,X12), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10])], [c13, c14])). % 0.12/0.35 % 0.12/0.35 cnf(c17, axiom, % 0.12/0.35 greater_or_equal(X13,n0)). % 0.12/0.35 cnf(a11, assumption, % 0.12/0.35 X11 = X13). % 0.12/0.35 cnf(a12, assumption, % 0.12/0.35 X12 = n0). % 0.12/0.35 cnf(c18, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a11, a12])], [c16, c17])). % 0.12/0.35 cnf(c19, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a11, a12])], [c16, c17])). % 0.12/0.35 % 0.12/0.35 cnf(c20, axiom, % 0.12/0.35 safe(n0,X14)). % 0.12/0.35 cnf(a13, assumption, % 0.12/0.35 X1 = n0). % 0.12/0.35 cnf(a14, assumption, % 0.12/0.35 X2 = X14). % 0.12/0.35 cnf(c21, plain, % 0.12/0.35 ~achievable(west(m(s(X1)),c(s(X2))),boatonwest,east(m(X3),c(X4))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a13, a14])], [c6, c20])). % 0.12/0.35 cnf(c22, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a13, a14])], [c6, c20])). % 0.12/0.35 % 0.12/0.35 cnf(c23, axiom, % 0.12/0.35 achievable(west(m(s(X15)),c(X16)),boatonwest,east(m(X17),c(X18))) | ~safe(X17,X18) | ~safe(s(X15),X16) | ~achievable(west(m(X15),c(X16)),boatoneast,east(m(s(X17)),c(X18)))). % 0.12/0.35 cnf(a15, assumption, % 0.12/0.35 west(m(s(X1)),c(s(X2))) = west(m(s(X15)),c(X16))). % 0.12/0.35 cnf(a16, assumption, % 0.12/0.35 boatonwest = boatonwest). % 0.12/0.35 cnf(a17, assumption, % 0.12/0.35 east(m(X3),c(X4)) = east(m(X17),c(X18))). % 0.12/0.35 cnf(c24, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c23])). % 0.12/0.35 cnf(c25, plain, % 0.12/0.35 ~safe(X17,X18) | ~safe(s(X15),X16) | ~achievable(west(m(X15),c(X16)),boatoneast,east(m(s(X17)),c(X18))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c23])). % 0.12/0.35 % 0.12/0.35 cnf(c26, axiom, % 0.12/0.35 safe(X19,X20) | ~greater_or_equal(X19,X20)). % 0.12/0.35 cnf(a18, assumption, % 0.12/0.35 X17 = X19). % 0.12/0.35 cnf(a19, assumption, % 0.12/0.35 X18 = X20). % 0.12/0.35 cnf(c27, plain, % 0.12/0.35 ~safe(s(X15),X16) | ~achievable(west(m(X15),c(X16)),boatoneast,east(m(s(X17)),c(X18))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a18, a19])], [c25, c26])). % 0.12/0.35 cnf(c28, plain, % 0.12/0.35 ~greater_or_equal(X19,X20), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a18, a19])], [c25, c26])). % 0.12/0.35 % 0.12/0.35 cnf(c29, plain, % 0.12/0.35 greater_or_equal(X7,X8)). % 0.12/0.35 cnf(a20, assumption, % 0.12/0.35 X19 = X7). % 0.12/0.35 cnf(a21, assumption, % 0.12/0.35 X20 = X8). % 0.12/0.35 cnf(c30, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(predicate_reduction, [assumptions([a20, a21])], [c28, c29])). % 0.12/0.35 % 0.12/0.35 cnf(c31, axiom, % 0.12/0.35 safe(X21,X22) | ~greater_or_equal(X21,X22)). % 0.12/0.35 cnf(a22, assumption, % 0.12/0.35 s(X15) = X21). % 0.12/0.35 cnf(a23, assumption, % 0.12/0.35 X16 = X22). % 0.12/0.35 cnf(c32, plain, % 0.12/0.35 ~achievable(west(m(X15),c(X16)),boatoneast,east(m(s(X17)),c(X18))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a22, a23])], [c27, c31])). % 0.12/0.35 cnf(c33, plain, % 0.12/0.35 ~greater_or_equal(X21,X22), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a22, a23])], [c27, c31])). % 0.12/0.35 % 0.12/0.35 cnf(c34, plain, % 0.12/0.35 greater_or_equal(X9,X10)). % 0.12/0.35 cnf(a24, assumption, % 0.12/0.35 X21 = X9). % 0.12/0.35 cnf(a25, assumption, % 0.12/0.35 X22 = X10). % 0.12/0.35 cnf(c35, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(predicate_reduction, [assumptions([a24, a25])], [c33, c34])). % 0.12/0.35 % 0.12/0.35 cnf(c36, axiom, % 0.12/0.35 achievable(west(m(X23),c(X24)),boatoneast,east(m(X25),c(s(s(X26))))) | ~safe(X25,s(s(X26))) | ~safe(X23,X24) | ~achievable(west(m(X23),c(s(s(X24)))),boatonwest,east(m(X25),c(X26)))). % 0.12/0.35 cnf(a26, assumption, % 0.12/0.35 west(m(X15),c(X16)) = west(m(X23),c(X24))). % 0.12/0.35 cnf(a27, assumption, % 0.12/0.35 boatoneast = boatoneast). % 0.12/0.35 cnf(a28, assumption, % 0.12/0.35 east(m(s(X17)),c(X18)) = east(m(X25),c(s(s(X26))))). % 0.12/0.35 cnf(c37, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c32, c36])). % 0.12/0.35 cnf(c38, plain, % 0.12/0.35 ~safe(X25,s(s(X26))) | ~safe(X23,X24) | ~achievable(west(m(X23),c(s(s(X24)))),boatonwest,east(m(X25),c(X26))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c32, c36])). % 0.12/0.35 % 0.12/0.35 cnf(c39, axiom, % 0.12/0.35 safe(X27,X28) | ~greater_or_equal(X27,X28)). % 0.12/0.35 cnf(a29, assumption, % 0.12/0.35 X25 = X27). % 0.12/0.35 cnf(a30, assumption, % 0.12/0.35 s(s(X26)) = X28). % 0.12/0.35 cnf(c40, plain, % 0.12/0.35 ~safe(X23,X24) | ~achievable(west(m(X23),c(s(s(X24)))),boatonwest,east(m(X25),c(X26))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a29, a30])], [c38, c39])). % 0.12/0.35 cnf(c41, plain, % 0.12/0.35 ~greater_or_equal(X27,X28), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a29, a30])], [c38, c39])). % 0.12/0.35 % 0.12/0.35 cnf(c42, axiom, % 0.12/0.35 ~greater_or_equal(X29,X30) | greater_or_equal(s(X29),s(X30))). % 0.12/0.35 cnf(a31, assumption, % 0.12/0.35 X27 = s(X29)). % 0.12/0.35 cnf(a32, assumption, % 0.12/0.35 X28 = s(X30)). % 0.12/0.35 cnf(c43, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a31, a32])], [c41, c42])). % 0.12/0.35 cnf(c44, plain, % 0.12/0.35 ~greater_or_equal(X29,X30), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a31, a32])], [c41, c42])). % 0.12/0.35 % 0.12/0.35 cnf(c45, axiom, % 0.12/0.35 ~greater_or_equal(X31,X32) | greater_or_equal(s(X31),s(X32))). % 0.12/0.35 cnf(a33, assumption, % 0.12/0.35 X29 = s(X31)). % 0.12/0.35 cnf(a34, assumption, % 0.12/0.35 X30 = s(X32)). % 0.12/0.35 cnf(c46, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a33, a34])], [c44, c45])). % 0.12/0.35 cnf(c47, plain, % 0.12/0.35 ~greater_or_equal(X31,X32), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a33, a34])], [c44, c45])). % 0.12/0.35 % 0.12/0.35 cnf(c48, axiom, % 0.12/0.35 greater_or_equal(X33,n0)). % 0.12/0.35 cnf(a35, assumption, % 0.12/0.35 X31 = X33). % 0.12/0.35 cnf(a36, assumption, % 0.12/0.35 X32 = n0). % 0.12/0.35 cnf(c49, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a35, a36])], [c47, c48])). % 0.12/0.35 cnf(c50, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a35, a36])], [c47, c48])). % 0.12/0.35 % 0.12/0.35 cnf(c51, axiom, % 0.12/0.35 safe(n0,X34)). % 0.12/0.35 cnf(a37, assumption, % 0.12/0.35 X23 = n0). % 0.12/0.35 cnf(a38, assumption, % 0.12/0.35 X24 = X34). % 0.12/0.35 cnf(c52, plain, % 0.12/0.35 ~achievable(west(m(X23),c(s(s(X24)))),boatonwest,east(m(X25),c(X26))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a37, a38])], [c40, c51])). % 0.12/0.35 cnf(c53, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a37, a38])], [c40, c51])). % 0.12/0.35 % 0.12/0.35 cnf(c54, axiom, % 0.12/0.35 achievable(west(m(X35),c(s(X36))),boatonwest,east(m(X37),c(X38))) | ~safe(X37,X38) | ~safe(X35,s(X36)) | ~achievable(west(m(X35),c(X36)),boatoneast,east(m(X37),c(s(X38))))). % 0.12/0.35 cnf(a39, assumption, % 0.12/0.35 west(m(X23),c(s(s(X24)))) = west(m(X35),c(s(X36)))). % 0.12/0.35 cnf(a40, assumption, % 0.12/0.35 boatonwest = boatonwest). % 0.12/0.35 cnf(a41, assumption, % 0.12/0.35 east(m(X25),c(X26)) = east(m(X37),c(X38))). % 0.12/0.35 cnf(c55, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a39, a40, a41])], [c52, c54])). % 0.12/0.35 cnf(c56, plain, % 0.12/0.35 ~safe(X37,X38) | ~safe(X35,s(X36)) | ~achievable(west(m(X35),c(X36)),boatoneast,east(m(X37),c(s(X38)))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a39, a40, a41])], [c52, c54])). % 0.12/0.35 % 0.12/0.35 cnf(c57, axiom, % 0.12/0.35 safe(X39,X40) | ~greater_or_equal(X39,X40)). % 0.12/0.35 cnf(a42, assumption, % 0.12/0.35 X37 = X39). % 0.12/0.35 cnf(a43, assumption, % 0.12/0.35 X38 = X40). % 0.12/0.35 cnf(c58, plain, % 0.12/0.35 ~safe(X35,s(X36)) | ~achievable(west(m(X35),c(X36)),boatoneast,east(m(X37),c(s(X38)))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a42, a43])], [c56, c57])). % 0.12/0.35 cnf(c59, plain, % 0.12/0.35 ~greater_or_equal(X39,X40), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a42, a43])], [c56, c57])). % 0.12/0.35 % 0.12/0.35 cnf(c60, axiom, % 0.12/0.35 greater_or_equal(X41,n0)). % 0.12/0.35 cnf(a44, assumption, % 0.12/0.35 X39 = X41). % 0.12/0.35 cnf(a45, assumption, % 0.12/0.35 X40 = n0). % 0.12/0.35 cnf(c61, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a44, a45])], [c59, c60])). % 0.12/0.35 cnf(c62, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a44, a45])], [c59, c60])). % 0.12/0.35 % 0.12/0.35 cnf(c63, axiom, % 0.12/0.35 safe(n0,X42)). % 0.12/0.35 cnf(a46, assumption, % 0.12/0.35 X35 = n0). % 0.12/0.35 cnf(a47, assumption, % 0.12/0.35 s(X36) = X42). % 0.12/0.35 cnf(c64, plain, % 0.12/0.35 ~achievable(west(m(X35),c(X36)),boatoneast,east(m(X37),c(s(X38)))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a46, a47])], [c58, c63])). % 0.12/0.35 cnf(c65, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a46, a47])], [c58, c63])). % 0.12/0.35 % 0.12/0.35 cnf(c66, axiom, % 0.12/0.35 achievable(west(m(X43),c(X44)),boatoneast,east(m(s(s(X45))),c(X46))) | ~safe(s(s(X45)),X46) | ~safe(X43,X44) | ~achievable(west(m(s(s(X43))),c(X44)),boatonwest,east(m(X45),c(X46)))). % 0.12/0.35 cnf(a48, assumption, % 0.12/0.35 west(m(X35),c(X36)) = west(m(X43),c(X44))). % 0.12/0.35 cnf(a49, assumption, % 0.12/0.35 boatoneast = boatoneast). % 0.12/0.35 cnf(a50, assumption, % 0.12/0.35 east(m(X37),c(s(X38))) = east(m(s(s(X45))),c(X46))). % 0.12/0.35 cnf(c67, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a48, a49, a50])], [c64, c66])). % 0.12/0.35 cnf(c68, plain, % 0.12/0.35 ~safe(s(s(X45)),X46) | ~safe(X43,X44) | ~achievable(west(m(s(s(X43))),c(X44)),boatonwest,east(m(X45),c(X46))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a48, a49, a50])], [c64, c66])). % 0.12/0.35 % 0.12/0.35 cnf(c69, axiom, % 0.12/0.35 safe(X47,X48) | ~greater_or_equal(X47,X48)). % 0.12/0.35 cnf(a51, assumption, % 0.12/0.35 s(s(X45)) = X47). % 0.12/0.35 cnf(a52, assumption, % 0.12/0.35 X46 = X48). % 0.12/0.35 cnf(c70, plain, % 0.12/0.35 ~safe(X43,X44) | ~achievable(west(m(s(s(X43))),c(X44)),boatonwest,east(m(X45),c(X46))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a51, a52])], [c68, c69])). % 0.12/0.35 cnf(c71, plain, % 0.12/0.35 ~greater_or_equal(X47,X48), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a51, a52])], [c68, c69])). % 0.12/0.35 % 0.12/0.35 cnf(c72, axiom, % 0.12/0.35 ~greater_or_equal(X49,X50) | greater_or_equal(s(X49),s(X50))). % 0.12/0.35 cnf(a53, assumption, % 0.12/0.35 X47 = s(X49)). % 0.12/0.35 cnf(a54, assumption, % 0.12/0.35 X48 = s(X50)). % 0.12/0.35 cnf(c73, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a53, a54])], [c71, c72])). % 0.12/0.35 cnf(c74, plain, % 0.12/0.35 ~greater_or_equal(X49,X50), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a53, a54])], [c71, c72])). % 0.12/0.35 % 0.12/0.35 cnf(c75, axiom, % 0.12/0.35 greater_or_equal(X51,n0)). % 0.12/0.35 cnf(a55, assumption, % 0.12/0.35 X49 = X51). % 0.12/0.35 cnf(a56, assumption, % 0.12/0.35 X50 = n0). % 0.12/0.35 cnf(c76, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a55, a56])], [c74, c75])). % 0.12/0.35 cnf(c77, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a55, a56])], [c74, c75])). % 0.12/0.35 % 0.12/0.35 cnf(c78, axiom, % 0.12/0.35 safe(n0,X52)). % 0.12/0.35 cnf(a57, assumption, % 0.12/0.35 X43 = n0). % 0.12/0.35 cnf(a58, assumption, % 0.12/0.35 X44 = X52). % 0.12/0.35 cnf(c79, plain, % 0.12/0.35 ~achievable(west(m(s(s(X43))),c(X44)),boatonwest,east(m(X45),c(X46))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a57, a58])], [c70, c78])). % 0.12/0.35 cnf(c80, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a57, a58])], [c70, c78])). % 0.12/0.35 % 0.12/0.35 cnf(c81, axiom, % 0.12/0.35 achievable(west(m(s(X53)),c(s(X54))),boatonwest,east(m(X55),c(X56))) | ~safe(X55,X56) | ~safe(s(X53),s(X54)) | ~achievable(west(m(X53),c(X54)),boatoneast,east(m(s(X55)),c(s(X56))))). % 0.12/0.35 cnf(a59, assumption, % 0.12/0.35 west(m(s(s(X43))),c(X44)) = west(m(s(X53)),c(s(X54)))). % 0.12/0.35 cnf(a60, assumption, % 0.12/0.35 boatonwest = boatonwest). % 0.12/0.35 cnf(a61, assumption, % 0.12/0.35 east(m(X45),c(X46)) = east(m(X55),c(X56))). % 0.12/0.35 cnf(c82, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a59, a60, a61])], [c79, c81])). % 0.12/0.35 cnf(c83, plain, % 0.12/0.35 ~safe(X55,X56) | ~safe(s(X53),s(X54)) | ~achievable(west(m(X53),c(X54)),boatoneast,east(m(s(X55)),c(s(X56)))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a59, a60, a61])], [c79, c81])). % 0.12/0.35 % 0.12/0.35 cnf(c84, plain, % 0.12/0.35 safe(s(X15),X16)). % 0.12/0.35 cnf(a62, assumption, % 0.12/0.35 X55 = s(X15)). % 0.12/0.35 cnf(a63, assumption, % 0.12/0.35 X56 = X16). % 0.12/0.35 cnf(c85, plain, % 0.12/0.35 ~safe(s(X53),s(X54)) | ~achievable(west(m(X53),c(X54)),boatoneast,east(m(s(X55)),c(s(X56)))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a62, a63])], [c83, c84])). % 0.12/0.35 % 0.12/0.35 cnf(c86, plain, % 0.12/0.35 safe(X17,X18)). % 0.12/0.35 cnf(a64, assumption, % 0.12/0.35 s(X53) = X17). % 0.12/0.35 cnf(a65, assumption, % 0.12/0.35 s(X54) = X18). % 0.12/0.35 cnf(c87, plain, % 0.12/0.35 ~achievable(west(m(X53),c(X54)),boatoneast,east(m(s(X55)),c(s(X56)))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a64, a65])], [c85, c86])). % 0.12/0.35 % 0.12/0.35 cnf(c88, axiom, % 0.12/0.35 achievable(west(m(X57),c(X58)),boatoneast,east(m(s(s(X59))),c(X60))) | ~safe(s(s(X59)),X60) | ~safe(X57,X58) | ~achievable(west(m(s(s(X57))),c(X58)),boatonwest,east(m(X59),c(X60)))). % 0.12/0.35 cnf(a66, assumption, % 0.12/0.35 west(m(X53),c(X54)) = west(m(X57),c(X58))). % 0.12/0.35 cnf(a67, assumption, % 0.12/0.35 boatoneast = boatoneast). % 0.12/0.35 cnf(a68, assumption, % 0.12/0.35 east(m(s(X55)),c(s(X56))) = east(m(s(s(X59))),c(X60))). % 0.12/0.35 cnf(c89, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a66, a67, a68])], [c87, c88])). % 0.12/0.35 cnf(c90, plain, % 0.12/0.35 ~safe(s(s(X59)),X60) | ~safe(X57,X58) | ~achievable(west(m(s(s(X57))),c(X58)),boatonwest,east(m(X59),c(X60))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a66, a67, a68])], [c87, c88])). % 0.12/0.35 % 0.12/0.35 cnf(c91, plain, % 0.12/0.35 safe(X17,X18)). % 0.12/0.35 cnf(a69, assumption, % 0.12/0.35 s(s(X59)) = X17). % 0.12/0.35 cnf(a70, assumption, % 0.12/0.35 X60 = X18). % 0.12/0.35 cnf(c92, plain, % 0.12/0.35 ~safe(X57,X58) | ~achievable(west(m(s(s(X57))),c(X58)),boatonwest,east(m(X59),c(X60))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a69, a70])], [c90, c91])). % 0.12/0.35 % 0.12/0.35 cnf(c93, plain, % 0.12/0.35 safe(s(X15),X16)). % 0.12/0.35 cnf(a71, assumption, % 0.12/0.35 X57 = s(X15)). % 0.12/0.35 cnf(a72, assumption, % 0.12/0.35 X58 = X16). % 0.12/0.35 cnf(c94, plain, % 0.12/0.35 ~achievable(west(m(s(s(X57))),c(X58)),boatonwest,east(m(X59),c(X60))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a71, a72])], [c92, c93])). % 0.12/0.35 % 0.12/0.35 cnf(c95, axiom, % 0.12/0.35 achievable(west(m(X61),c(s(X62))),boatonwest,east(m(X63),c(X64))) | ~safe(X63,X64) | ~safe(X61,s(X62)) | ~achievable(west(m(X61),c(X62)),boatoneast,east(m(X63),c(s(X64))))). % 0.12/0.35 cnf(a73, assumption, % 0.12/0.35 west(m(s(s(X57))),c(X58)) = west(m(X61),c(s(X62)))). % 0.12/0.35 cnf(a74, assumption, % 0.12/0.35 boatonwest = boatonwest). % 0.12/0.35 cnf(a75, assumption, % 0.12/0.35 east(m(X59),c(X60)) = east(m(X63),c(X64))). % 0.12/0.35 cnf(c96, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a73, a74, a75])], [c94, c95])). % 0.12/0.35 cnf(c97, plain, % 0.12/0.35 ~safe(X63,X64) | ~safe(X61,s(X62)) | ~achievable(west(m(X61),c(X62)),boatoneast,east(m(X63),c(s(X64)))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a73, a74, a75])], [c94, c95])). % 0.12/0.35 % 0.12/0.35 cnf(c98, plain, % 0.12/0.35 safe(X43,X44)). % 0.12/0.35 cnf(a76, assumption, % 0.12/0.35 X63 = X43). % 0.12/0.35 cnf(a77, assumption, % 0.12/0.35 X64 = X44). % 0.12/0.35 cnf(c99, plain, % 0.12/0.35 ~safe(X61,s(X62)) | ~achievable(west(m(X61),c(X62)),boatoneast,east(m(X63),c(s(X64)))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a76, a77])], [c97, c98])). % 0.12/0.35 % 0.12/0.35 cnf(c100, plain, % 0.12/0.35 safe(s(s(X45)),X46)). % 0.12/0.35 cnf(a78, assumption, % 0.12/0.35 X61 = s(s(X45))). % 0.12/0.35 cnf(a79, assumption, % 0.12/0.35 s(X62) = X46). % 0.12/0.35 cnf(c101, plain, % 0.12/0.35 ~achievable(west(m(X61),c(X62)),boatoneast,east(m(X63),c(s(X64)))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a78, a79])], [c99, c100])). % 0.12/0.35 % 0.12/0.35 cnf(c102, axiom, % 0.12/0.35 achievable(west(m(X65),c(X66)),boatoneast,east(m(X67),c(s(s(X68))))) | ~safe(X67,s(s(X68))) | ~safe(X65,X66) | ~achievable(west(m(X65),c(s(s(X66)))),boatonwest,east(m(X67),c(X68)))). % 0.12/0.35 cnf(a80, assumption, % 0.12/0.35 west(m(X61),c(X62)) = west(m(X65),c(X66))). % 0.12/0.35 cnf(a81, assumption, % 0.12/0.35 boatoneast = boatoneast). % 0.12/0.35 cnf(a82, assumption, % 0.12/0.35 east(m(X63),c(s(X64))) = east(m(X67),c(s(s(X68))))). % 0.12/0.35 cnf(c103, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a80, a81, a82])], [c101, c102])). % 0.12/0.35 cnf(c104, plain, % 0.12/0.35 ~safe(X67,s(s(X68))) | ~safe(X65,X66) | ~achievable(west(m(X65),c(s(s(X66)))),boatonwest,east(m(X67),c(X68))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a80, a81, a82])], [c101, c102])). % 0.12/0.35 % 0.12/0.35 cnf(c105, plain, % 0.12/0.35 safe(X35,s(X36))). % 0.12/0.35 cnf(a83, assumption, % 0.12/0.35 X67 = X35). % 0.12/0.35 cnf(a84, assumption, % 0.12/0.35 s(s(X68)) = s(X36)). % 0.12/0.35 cnf(c106, plain, % 0.12/0.35 ~safe(X65,X66) | ~achievable(west(m(X65),c(s(s(X66)))),boatonwest,east(m(X67),c(X68))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a83, a84])], [c104, c105])). % 0.12/0.35 % 0.12/0.35 cnf(c107, plain, % 0.12/0.35 safe(X37,X38)). % 0.12/0.35 cnf(a85, assumption, % 0.12/0.35 X65 = X37). % 0.12/0.35 cnf(a86, assumption, % 0.12/0.35 X66 = X38). % 0.12/0.35 cnf(c108, plain, % 0.12/0.35 ~achievable(west(m(X65),c(s(s(X66)))),boatonwest,east(m(X67),c(X68))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a85, a86])], [c106, c107])). % 0.12/0.35 % 0.12/0.35 cnf(c109, axiom, % 0.12/0.35 achievable(west(m(X69),c(s(X70))),boatonwest,east(m(X71),c(X72))) | ~safe(X71,X72) | ~safe(X69,s(X70)) | ~achievable(west(m(X69),c(X70)),boatoneast,east(m(X71),c(s(X72))))). % 0.12/0.35 cnf(a87, assumption, % 0.12/0.35 west(m(X65),c(s(s(X66)))) = west(m(X69),c(s(X70)))). % 0.12/0.35 cnf(a88, assumption, % 0.12/0.35 boatonwest = boatonwest). % 0.12/0.35 cnf(a89, assumption, % 0.12/0.35 east(m(X67),c(X68)) = east(m(X71),c(X72))). % 0.12/0.35 cnf(c110, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a87, a88, a89])], [c108, c109])). % 0.12/0.35 cnf(c111, plain, % 0.12/0.35 ~safe(X71,X72) | ~safe(X69,s(X70)) | ~achievable(west(m(X69),c(X70)),boatoneast,east(m(X71),c(s(X72)))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a87, a88, a89])], [c108, c109])). % 0.12/0.35 % 0.12/0.35 cnf(c112, plain, % 0.12/0.35 safe(X23,X24)). % 0.12/0.35 cnf(a90, assumption, % 0.12/0.35 X71 = X23). % 0.12/0.35 cnf(a91, assumption, % 0.12/0.35 X72 = X24). % 0.12/0.35 cnf(c113, plain, % 0.12/0.35 ~safe(X69,s(X70)) | ~achievable(west(m(X69),c(X70)),boatoneast,east(m(X71),c(s(X72)))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a90, a91])], [c111, c112])). % 0.12/0.35 % 0.12/0.35 cnf(c114, plain, % 0.12/0.35 safe(X25,s(s(X26)))). % 0.12/0.35 cnf(a92, assumption, % 0.12/0.35 X69 = X25). % 0.12/0.35 cnf(a93, assumption, % 0.12/0.35 s(X70) = s(s(X26))). % 0.12/0.35 cnf(c115, plain, % 0.12/0.35 ~achievable(west(m(X69),c(X70)),boatoneast,east(m(X71),c(s(X72)))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a92, a93])], [c113, c114])). % 0.12/0.35 % 0.12/0.35 cnf(c116, axiom, % 0.12/0.35 achievable(west(m(X73),c(X74)),boatoneast,east(m(X75),c(s(s(X76))))) | ~safe(X75,s(s(X76))) | ~safe(X73,X74) | ~achievable(west(m(X73),c(s(s(X74)))),boatonwest,east(m(X75),c(X76)))). % 0.12/0.35 cnf(a94, assumption, % 0.12/0.35 west(m(X69),c(X70)) = west(m(X73),c(X74))). % 0.12/0.35 cnf(a95, assumption, % 0.12/0.35 boatoneast = boatoneast). % 0.12/0.35 cnf(a96, assumption, % 0.12/0.35 east(m(X71),c(s(X72))) = east(m(X75),c(s(s(X76))))). % 0.12/0.35 cnf(c117, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a94, a95, a96])], [c115, c116])). % 0.12/0.35 cnf(c118, plain, % 0.12/0.35 ~safe(X75,s(s(X76))) | ~safe(X73,X74) | ~achievable(west(m(X73),c(s(s(X74)))),boatonwest,east(m(X75),c(X76))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a94, a95, a96])], [c115, c116])). % 0.12/0.35 % 0.12/0.35 cnf(c119, plain, % 0.12/0.35 safe(X43,X44)). % 0.12/0.35 cnf(a97, assumption, % 0.12/0.35 X75 = X43). % 0.12/0.35 cnf(a98, assumption, % 0.12/0.35 s(s(X76)) = X44). % 0.12/0.35 cnf(c120, plain, % 0.12/0.35 ~safe(X73,X74) | ~achievable(west(m(X73),c(s(s(X74)))),boatonwest,east(m(X75),c(X76))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a97, a98])], [c118, c119])). % 0.12/0.35 % 0.12/0.35 cnf(c121, plain, % 0.12/0.35 safe(s(s(X45)),X46)). % 0.12/0.35 cnf(a99, assumption, % 0.12/0.35 X73 = s(s(X45))). % 0.12/0.35 cnf(a100, assumption, % 0.12/0.35 X74 = X46). % 0.12/0.35 cnf(c122, plain, % 0.12/0.35 ~achievable(west(m(X73),c(s(s(X74)))),boatonwest,east(m(X75),c(X76))), % 0.12/0.35 inference(predicate_reduction, [assumptions([a99, a100])], [c120, c121])). % 0.12/0.35 % 0.12/0.35 cnf(c123, axiom, % 0.12/0.35 achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0)))). % 0.12/0.35 cnf(a101, assumption, % 0.12/0.35 west(m(X73),c(s(s(X74)))) = west(m(s(s(s(n0)))),c(s(s(s(n0)))))). % 0.12/0.35 cnf(a102, assumption, % 0.12/0.36 boatonwest = boatonwest). % 0.12/0.36 cnf(a103, assumption, % 0.12/0.36 east(m(X75),c(X76)) = east(m(n0),c(n0))). % 0.12/0.36 cnf(c124, plain, % 0.12/0.36 $false, % 0.12/0.36 inference(strict_predicate_extension, [assumptions([a101, a102, a103])], [c122, c123])). % 0.12/0.36 cnf(c125, plain, % 0.12/0.36 $false, % 0.12/0.36 inference(strict_predicate_extension, [assumptions([a101, a102, a103])], [c122, c123])). % 0.12/0.36 % 0.12/0.36 cnf(c126, plain, % 0.12/0.36 $false, % 0.12/0.36 inference(constraint_solving, [ % 0.12/0.36 bind(X0, boatoneast), % 0.12/0.36 bind(X1, n0), % 0.12/0.36 bind(X2, n0), % 0.12/0.36 bind(X3, s(s(n0))), % 0.12/0.36 bind(X4, s(s(n0))), % 0.12/0.36 bind(X5, s(X3)), % 0.12/0.36 bind(X6, s(X4)), % 0.12/0.36 bind(X7, s(s(n0))), % 0.12/0.36 bind(X8, s(s(n0))), % 0.12/0.36 bind(X9, s(n0)), % 0.12/0.36 bind(X10, s(n0)), % 0.12/0.36 bind(X11, n0), % 0.12/0.36 bind(X12, n0), % 0.12/0.36 bind(X13, n0), % 0.12/0.36 bind(X14, n0), % 0.12/0.36 bind(X15, n0), % 0.12/0.36 bind(X16, s(X2)), % 0.12/0.36 bind(X17, s(s(n0))), % 0.12/0.36 bind(X18, s(s(n0))), % 0.12/0.36 bind(X19, s(s(n0))), % 0.12/0.36 bind(X20, s(s(n0))), % 0.12/0.36 bind(X21, s(X15)), % 0.12/0.36 bind(X22, s(X2)), % 0.12/0.36 bind(X23, n0), % 0.12/0.36 bind(X24, s(X2)), % 0.12/0.36 bind(X25, s(X17)), % 0.12/0.36 bind(X26, n0), % 0.12/0.36 bind(X27, s(X17)), % 0.12/0.36 bind(X28, s(s(X26))), % 0.12/0.36 bind(X29, s(s(n0))), % 0.12/0.36 bind(X30, s(X26)), % 0.12/0.36 bind(X31, s(n0)), % 0.12/0.36 bind(X32, n0), % 0.12/0.36 bind(X33, s(n0)), % 0.12/0.36 bind(X34, s(X2)), % 0.12/0.36 bind(X35, n0), % 0.12/0.36 bind(X36, s(X24)), % 0.12/0.36 bind(X37, s(X17)), % 0.12/0.36 bind(X38, n0), % 0.12/0.36 bind(X39, s(X17)), % 0.12/0.36 bind(X40, n0), % 0.12/0.36 bind(X41, s(X17)), % 0.12/0.36 bind(X42, s(X36)), % 0.12/0.36 bind(X43, n0), % 0.12/0.36 bind(X44, s(X24)), % 0.12/0.36 bind(X45, s(n0)), % 0.12/0.36 bind(X46, s(X38)), % 0.12/0.36 bind(X47, s(s(X45))), % 0.12/0.36 bind(X48, s(X38)), % 0.12/0.36 bind(X49, s(X45)), % 0.12/0.36 bind(X50, n0), % 0.12/0.36 bind(X51, s(X45)), % 0.12/0.36 bind(X52, s(X24)), % 0.12/0.36 bind(X53, s(X43)), % 0.12/0.36 bind(X54, s(X2)), % 0.12/0.36 bind(X55, s(n0)), % 0.12/0.36 bind(X56, s(X38)), % 0.12/0.36 bind(X57, s(X43)), % 0.12/0.36 bind(X58, s(X2)), % 0.12/0.36 bind(X59, n0), % 0.12/0.36 bind(X60, s(X56)), % 0.12/0.36 bind(X61, s(s(X57))), % 0.12/0.36 bind(X62, n0), % 0.12/0.36 bind(X63, n0), % 0.12/0.36 bind(X64, s(X56)), % 0.12/0.36 bind(X65, s(s(X57))), % 0.12/0.36 bind(X66, n0), % 0.12/0.36 bind(X67, n0), % 0.12/0.36 bind(X68, s(X38)), % 0.12/0.36 bind(X69, s(s(X57))), % 0.12/0.36 bind(X70, s(X66)), % 0.12/0.36 bind(X71, n0), % 0.12/0.36 bind(X72, s(X38)), % 0.12/0.36 bind(X73, s(s(X57))), % 0.12/0.36 bind(X74, s(X66)), % 0.12/0.36 bind(X75, n0), % 0.12/0.36 bind(X76, n0) % 0.12/0.36 ], % 0.12/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49, a50, a51, a52, a53, a54, a55, a56, a57, a58, a59, a60, a61, a62, a63, a64, a65, a66, a67, a68, a69, a70, a71, a72, a73, a74, a75, a76, a77, a78, a79, a80, a81, a82, a83, a84, a85, a86, a87, a88, a89, a90, a91, a92, a93, a94, a95, a96, a97, a98, a99, a100, a101, a102, a103])). % 0.12/0.36 % 0.12/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------