%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM324+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n010.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 11:32:09 EDT 2022 % Result : Theorem 15.93s 2.65s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : NUM324+1 : TPTP v8.1.0. Released v3.1.0. % 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 : n010.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 : Tue Jul 5 08:43:17 EDT 2022 % 0.12/0.33 % CPUTime : % 15.93/2.65 % SZS status Theorem % 15.93/2.65 % SZS output begin IncompleteProof % 15.93/2.65 cnf(c0, axiom, % 15.93/2.65 ~sum(X0,nn5,nn3)). % 15.93/2.65 cnf(c1, plain, % 15.93/2.65 ~sum(X0,nn5,nn3), % 15.93/2.65 inference(start, [], [c0])). % 15.93/2.65 % 15.93/2.65 cnf(c2, axiom, % 15.93/2.65 sum(X1,X2,X3) | ~rdn_translate(X3,rdn_neg(X4)) | ~rdn_add_with_carry(rdnn(n0),X5,X4,X6) | ~rdn_positive_less(X5,X6) | ~rdn_translate(X2,rdn_neg(X6)) | ~rdn_translate(X1,rdn_pos(X5))). % 15.93/2.65 cnf(a0, assumption, % 15.93/2.65 X0 = X1). % 15.93/2.65 cnf(a1, assumption, % 15.93/2.65 nn5 = X2). % 15.93/2.65 cnf(a2, assumption, % 15.93/2.65 nn3 = X3). % 15.93/2.65 cnf(c3, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 15.93/2.65 cnf(c4, plain, % 15.93/2.65 ~rdn_translate(X3,rdn_neg(X4)) | ~rdn_add_with_carry(rdnn(n0),X5,X4,X6) | ~rdn_positive_less(X5,X6) | ~rdn_translate(X2,rdn_neg(X6)) | ~rdn_translate(X1,rdn_pos(X5)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 15.93/2.65 % 15.93/2.65 cnf(c5, axiom, % 15.93/2.65 rdn_translate(nn3,rdn_neg(rdnn(n3)))). % 15.93/2.65 cnf(a3, assumption, % 15.93/2.65 X3 = nn3). % 15.93/2.65 cnf(a4, assumption, % 15.93/2.65 rdn_neg(X4) = rdn_neg(rdnn(n3))). % 15.93/2.65 cnf(c6, plain, % 15.93/2.65 ~rdn_add_with_carry(rdnn(n0),X5,X4,X6) | ~rdn_positive_less(X5,X6) | ~rdn_translate(X2,rdn_neg(X6)) | ~rdn_translate(X1,rdn_pos(X5)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 15.93/2.65 cnf(c7, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 15.93/2.65 % 15.93/2.65 cnf(c8, axiom, % 15.93/2.65 rdn_add_with_carry(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(X10)) | ~rdn_digit_add(rdnn(X11),rdnn(X7),rdnn(X10),rdnn(n0)) | ~rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X11),rdnn(n0))). % 15.93/2.65 cnf(a5, assumption, % 15.93/2.65 rdnn(n0) = rdnn(X7)). % 15.93/2.65 cnf(a6, assumption, % 15.93/2.65 X5 = rdnn(X8)). % 15.93/2.65 cnf(a7, assumption, % 15.93/2.65 X4 = rdnn(X9)). % 15.93/2.65 cnf(a8, assumption, % 15.93/2.65 X6 = rdnn(X10)). % 15.93/2.65 cnf(c9, plain, % 15.93/2.65 ~rdn_positive_less(X5,X6) | ~rdn_translate(X2,rdn_neg(X6)) | ~rdn_translate(X1,rdn_pos(X5)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c6, c8])). % 15.93/2.65 cnf(c10, plain, % 15.93/2.65 ~rdn_digit_add(rdnn(X11),rdnn(X7),rdnn(X10),rdnn(n0)) | ~rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X11),rdnn(n0)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c6, c8])). % 15.93/2.65 % 15.93/2.65 cnf(c11, axiom, % 15.93/2.65 rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))). % 15.93/2.65 cnf(a9, assumption, % 15.93/2.65 rdnn(X11) = rdnn(n5)). % 15.93/2.65 cnf(a10, assumption, % 15.93/2.65 rdnn(X7) = rdnn(n0)). % 15.93/2.65 cnf(a11, assumption, % 15.93/2.65 rdnn(X10) = rdnn(n5)). % 15.93/2.65 cnf(a12, assumption, % 15.93/2.65 rdnn(n0) = rdnn(n0)). % 15.93/2.65 cnf(c12, plain, % 15.93/2.65 ~rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X11),rdnn(n0)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a9, a10, a11, a12])], [c10, c11])). % 15.93/2.65 cnf(c13, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a9, a10, a11, a12])], [c10, c11])). % 15.93/2.65 % 15.93/2.65 cnf(c14, axiom, % 15.93/2.65 rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))). % 15.93/2.65 cnf(a13, assumption, % 15.93/2.65 rdnn(X8) = rdnn(n2)). % 15.93/2.65 cnf(a14, assumption, % 15.93/2.65 rdnn(X9) = rdnn(n3)). % 15.93/2.65 cnf(a15, assumption, % 15.93/2.65 rdnn(X11) = rdnn(n5)). % 15.93/2.65 cnf(a16, assumption, % 15.93/2.65 rdnn(n0) = rdnn(n0)). % 15.93/2.65 cnf(c15, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a13, a14, a15, a16])], [c12, c14])). % 15.93/2.65 cnf(c16, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a13, a14, a15, a16])], [c12, c14])). % 15.93/2.65 % 15.93/2.65 cnf(c17, axiom, % 15.93/2.65 rdn_positive_less(rdnn(X12),rdnn(X13)) | ~rdn_positive_less(rdnn(X14),rdnn(X13)) | ~rdn_positive_less(rdnn(X12),rdnn(X14))). % 15.93/2.65 cnf(a17, assumption, % 15.93/2.65 X5 = rdnn(X12)). % 15.93/2.65 cnf(a18, assumption, % 15.93/2.65 X6 = rdnn(X13)). % 15.93/2.65 cnf(c18, plain, % 15.93/2.65 ~rdn_translate(X2,rdn_neg(X6)) | ~rdn_translate(X1,rdn_pos(X5)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a17, a18])], [c9, c17])). % 15.93/2.65 cnf(c19, plain, % 15.93/2.65 ~rdn_positive_less(rdnn(X14),rdnn(X13)) | ~rdn_positive_less(rdnn(X12),rdnn(X14)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a17, a18])], [c9, c17])). % 15.93/2.65 % 15.93/2.65 cnf(c20, axiom, % 15.93/2.65 rdn_positive_less(rdnn(n4),rdnn(n5))). % 15.93/2.65 cnf(a19, assumption, % 15.93/2.65 rdnn(X14) = rdnn(n4)). % 15.93/2.65 cnf(a20, assumption, % 15.93/2.65 rdnn(X13) = rdnn(n5)). % 15.93/2.65 cnf(c21, plain, % 15.93/2.65 ~rdn_positive_less(rdnn(X12),rdnn(X14)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a19, a20])], [c19, c20])). % 15.93/2.65 cnf(c22, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a19, a20])], [c19, c20])). % 15.93/2.65 % 15.93/2.65 cnf(c23, axiom, % 15.93/2.65 rdn_positive_less(rdnn(X15),rdnn(X16)) | ~rdn_positive_less(rdnn(X17),rdnn(X16)) | ~rdn_positive_less(rdnn(X15),rdnn(X17))). % 15.93/2.65 cnf(a21, assumption, % 15.93/2.65 rdnn(X12) = rdnn(X15)). % 15.93/2.65 cnf(a22, assumption, % 15.93/2.65 rdnn(X14) = rdnn(X16)). % 15.93/2.65 cnf(c24, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a21, a22])], [c21, c23])). % 15.93/2.65 cnf(c25, plain, % 15.93/2.65 ~rdn_positive_less(rdnn(X17),rdnn(X16)) | ~rdn_positive_less(rdnn(X15),rdnn(X17)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a21, a22])], [c21, c23])). % 15.93/2.65 % 15.93/2.65 cnf(c26, axiom, % 15.93/2.65 rdn_positive_less(rdnn(n3),rdnn(n4))). % 15.93/2.65 cnf(a23, assumption, % 15.93/2.65 rdnn(X17) = rdnn(n3)). % 15.93/2.65 cnf(a24, assumption, % 15.93/2.65 rdnn(X16) = rdnn(n4)). % 15.93/2.65 cnf(c27, plain, % 15.93/2.65 ~rdn_positive_less(rdnn(X15),rdnn(X17)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a23, a24])], [c25, c26])). % 15.93/2.65 cnf(c28, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a23, a24])], [c25, c26])). % 15.93/2.65 % 15.93/2.65 cnf(c29, axiom, % 15.93/2.65 rdn_positive_less(rdnn(n2),rdnn(n3))). % 15.93/2.65 cnf(a25, assumption, % 15.93/2.65 rdnn(X15) = rdnn(n2)). % 15.93/2.65 cnf(a26, assumption, % 15.93/2.65 rdnn(X17) = rdnn(n3)). % 15.93/2.65 cnf(c30, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a25, a26])], [c27, c29])). % 15.93/2.65 cnf(c31, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a25, a26])], [c27, c29])). % 15.93/2.65 % 15.93/2.65 cnf(c32, axiom, % 15.93/2.65 rdn_translate(nn5,rdn_neg(rdnn(n5)))). % 15.93/2.65 cnf(a27, assumption, % 15.93/2.65 X2 = nn5). % 15.93/2.65 cnf(a28, assumption, % 15.93/2.65 rdn_neg(X6) = rdn_neg(rdnn(n5))). % 15.93/2.65 cnf(c33, plain, % 15.93/2.65 ~rdn_translate(X1,rdn_pos(X5)), % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a27, a28])], [c18, c32])). % 15.93/2.65 cnf(c34, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a27, a28])], [c18, c32])). % 15.93/2.65 % 15.93/2.65 cnf(c35, axiom, % 15.93/2.65 rdn_translate(n2,rdn_pos(rdnn(n2)))). % 15.93/2.65 cnf(a29, assumption, % 15.93/2.65 X1 = n2). % 15.93/2.65 cnf(a30, assumption, % 15.93/2.65 rdn_pos(X5) = rdn_pos(rdnn(n2))). % 15.93/2.65 cnf(c36, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a29, a30])], [c33, c35])). % 15.93/2.65 cnf(c37, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(strict_predicate_extension, [assumptions([a29, a30])], [c33, c35])). % 15.93/2.65 % 15.93/2.65 cnf(c38, plain, % 15.93/2.65 $false, % 15.93/2.65 inference(constraint_solving, [ % 15.93/2.65 bind(X0, n2), % 15.93/2.65 bind(X1, n2), % 15.93/2.65 bind(X2, nn5), % 15.93/2.65 bind(X3, nn3), % 15.93/2.65 bind(X4, rdnn(n3)), % 15.93/2.65 bind(X5, rdnn(X8)), % 15.93/2.65 bind(X6, rdnn(X10)), % 15.93/2.65 bind(X7, n0), % 15.93/2.65 bind(X8, n2), % 15.93/2.65 bind(X9, n3), % 15.93/2.65 bind(X10, n5), % 15.93/2.65 bind(X11, n5), % 15.93/2.65 bind(X12, n2), % 15.93/2.65 bind(X13, n5), % 15.93/2.65 bind(X14, n4), % 15.93/2.65 bind(X15, n2), % 15.93/2.65 bind(X16, n4), % 15.93/2.65 bind(X17, n3) % 15.93/2.65 ], % 15.93/2.65 [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])). % 15.93/2.65 % 15.93/2.65 % SZS output end IncompleteProof %------------------------------------------------------------------------------