%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM328+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 : n017.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 11:32:11 EDT 2022 % Result : Theorem 2.00s 0.69s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM328+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.11/0.33 % Computer : n017.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Wed Jul 6 02:06:14 EDT 2022 % 0.11/0.33 % CPUTime : % 2.00/0.69 % SZS status Theorem % 2.00/0.69 % SZS output begin IncompleteProof % 2.00/0.69 cnf(c0, axiom, % 2.00/0.69 ~sum(X0,X1,X0)). % 2.00/0.69 cnf(c1, plain, % 2.00/0.69 ~sum(X0,X1,X0), % 2.00/0.69 inference(start, [], [c0])). % 2.00/0.69 % 2.00/0.69 cnf(c2, axiom, % 2.00/0.69 sum(X2,X3,X4) | ~rdn_translate(X4,rdn_pos(X5)) | ~rdn_add_with_carry(rdnn(n0),X6,X7,X5) | ~rdn_translate(X3,rdn_pos(X7)) | ~rdn_translate(X2,rdn_pos(X6))). % 2.00/0.69 cnf(a0, assumption, % 2.00/0.69 X0 = X2). % 2.00/0.69 cnf(a1, assumption, % 2.00/0.69 X1 = X3). % 2.00/0.69 cnf(a2, assumption, % 2.00/0.69 X0 = X4). % 2.00/0.69 cnf(c3, plain, % 2.00/0.69 $false, % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 2.00/0.69 cnf(c4, plain, % 2.00/0.69 ~rdn_translate(X4,rdn_pos(X5)) | ~rdn_add_with_carry(rdnn(n0),X6,X7,X5) | ~rdn_translate(X3,rdn_pos(X7)) | ~rdn_translate(X2,rdn_pos(X6)), % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 2.00/0.69 % 2.00/0.69 cnf(c5, axiom, % 2.00/0.69 rdn_translate(n0,rdn_pos(rdnn(n0)))). % 2.00/0.69 cnf(a3, assumption, % 2.00/0.69 X4 = n0). % 2.00/0.69 cnf(a4, assumption, % 2.00/0.69 rdn_pos(X5) = rdn_pos(rdnn(n0))). % 2.00/0.69 cnf(c6, plain, % 2.00/0.69 ~rdn_add_with_carry(rdnn(n0),X6,X7,X5) | ~rdn_translate(X3,rdn_pos(X7)) | ~rdn_translate(X2,rdn_pos(X6)), % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 2.00/0.69 cnf(c7, plain, % 2.00/0.69 $false, % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 2.00/0.69 % 2.00/0.69 cnf(c8, axiom, % 2.00/0.69 rdn_add_with_carry(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(X11)) | ~rdn_digit_add(rdnn(X12),rdnn(X8),rdnn(X11),rdnn(n0)) | ~rdn_digit_add(rdnn(X9),rdnn(X10),rdnn(X12),rdnn(n0))). % 2.00/0.69 cnf(a5, assumption, % 2.00/0.69 rdnn(n0) = rdnn(X8)). % 2.00/0.69 cnf(a6, assumption, % 2.00/0.69 X6 = rdnn(X9)). % 2.00/0.69 cnf(a7, assumption, % 2.00/0.69 X7 = rdnn(X10)). % 2.00/0.69 cnf(a8, assumption, % 2.00/0.69 X5 = rdnn(X11)). % 2.00/0.69 cnf(c9, plain, % 2.00/0.69 ~rdn_translate(X3,rdn_pos(X7)) | ~rdn_translate(X2,rdn_pos(X6)), % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c6, c8])). % 2.00/0.69 cnf(c10, plain, % 2.00/0.69 ~rdn_digit_add(rdnn(X12),rdnn(X8),rdnn(X11),rdnn(n0)) | ~rdn_digit_add(rdnn(X9),rdnn(X10),rdnn(X12),rdnn(n0)), % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c6, c8])). % 2.00/0.69 % 2.00/0.69 cnf(c11, axiom, % 2.00/0.69 rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0))). % 2.00/0.69 cnf(a9, assumption, % 2.00/0.69 rdnn(X12) = rdnn(n0)). % 2.00/0.69 cnf(a10, assumption, % 2.00/0.69 rdnn(X8) = rdnn(n0)). % 2.00/0.69 cnf(a11, assumption, % 2.00/0.69 rdnn(X11) = rdnn(n0)). % 2.00/0.69 cnf(a12, assumption, % 2.00/0.69 rdnn(n0) = rdnn(n0)). % 2.00/0.69 cnf(c12, plain, % 2.00/0.69 ~rdn_digit_add(rdnn(X9),rdnn(X10),rdnn(X12),rdnn(n0)), % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a9, a10, a11, a12])], [c10, c11])). % 2.00/0.69 cnf(c13, plain, % 2.00/0.69 $false, % 2.00/0.69 inference(strict_predicate_extension, [assumptions([a9, a10, a11, a12])], [c10, c11])). % 2.00/0.69 % 2.00/0.69 cnf(c14, plain, % 2.00/0.69 rdn_digit_add(rdnn(X12),rdnn(X8),rdnn(X11),rdnn(n0))). % 2.00/0.69 cnf(a13, assumption, % 2.00/0.69 rdnn(X9) = rdnn(X12)). % 2.00/0.69 cnf(a14, assumption, % 2.00/0.69 rdnn(X10) = rdnn(X8)). % 2.00/0.69 cnf(a15, assumption, % 2.00/0.69 rdnn(X12) = rdnn(X11)). % 2.00/0.69 cnf(a16, assumption, % 2.00/0.69 rdnn(n0) = rdnn(n0)). % 2.00/0.69 cnf(c15, plain, % 2.00/0.69 $false, % 2.00/0.69 inference(predicate_reduction, [assumptions([a13, a14, a15, a16])], [c12, c14])). % 2.00/0.69 % 2.00/0.69 cnf(c16, plain, % 2.00/0.69 rdn_translate(X4,rdn_pos(X5))). % 2.00/0.69 cnf(a17, assumption, % 2.00/0.69 X3 = X4). % 2.00/0.69 cnf(a18, assumption, % 2.00/0.69 rdn_pos(X7) = rdn_pos(X5)). % 2.00/0.69 cnf(c17, plain, % 2.00/0.69 ~rdn_translate(X2,rdn_pos(X6)), % 2.00/0.69 inference(predicate_reduction, [assumptions([a17, a18])], [c9, c16])). % 2.00/0.69 % 2.00/0.69 cnf(c18, plain, % 2.00/0.69 rdn_translate(X4,rdn_pos(X5))). % 2.00/0.69 cnf(a19, assumption, % 2.00/0.69 X2 = X4). % 2.00/0.69 cnf(a20, assumption, % 2.00/0.69 rdn_pos(X6) = rdn_pos(X5)). % 2.00/0.69 cnf(c19, plain, % 2.00/0.69 $false, % 2.00/0.69 inference(predicate_reduction, [assumptions([a19, a20])], [c17, c18])). % 2.00/0.69 % 2.00/0.69 cnf(c20, plain, % 2.00/0.69 $false, % 2.00/0.69 inference(constraint_solving, [ % 2.00/0.69 bind(X0, n0), % 2.00/0.69 bind(X1, n0), % 2.00/0.69 bind(X2, n0), % 2.00/0.69 bind(X3, n0), % 2.00/0.69 bind(X4, n0), % 2.00/0.69 bind(X5, rdnn(n0)), % 2.00/0.69 bind(X6, rdnn(X9)), % 2.00/0.69 bind(X7, rdnn(X10)), % 2.00/0.69 bind(X8, n0), % 2.00/0.69 bind(X9, n0), % 2.00/0.69 bind(X10, n0), % 2.00/0.69 bind(X11, n0), % 2.00/0.69 bind(X12, n0) % 2.00/0.69 ], % 2.00/0.69 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 2.00/0.69 % 2.00/0.69 % SZS output end IncompleteProof %------------------------------------------------------------------------------