%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0. % 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 : Sat Jul 16 04:59:46 EDT 2022 % Result : Theorem 14.15s 2.44s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.14 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0. % 0.05/0.15 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.16/0.36 % Computer : n010.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 600 % 0.16/0.36 % DateTime : Sat Jun 18 01:30:23 EDT 2022 % 0.16/0.36 % CPUTime : % 14.15/2.44 % SZS status Theorem % 14.15/2.44 % SZS output begin IncompleteProof % 14.15/2.44 cnf(c0, axiom, % 14.15/2.44 convergent_lines(sK0,sK1)). % 14.15/2.44 cnf(c1, plain, % 14.15/2.44 convergent_lines(sK0,sK1), % 14.15/2.44 inference(start, [], [c0])). % 14.15/2.44 % 14.15/2.44 cnf(c2, axiom, % 14.15/2.44 distinct_lines(X0,X1) | ~convergent_lines(X0,X1)). % 14.15/2.44 cnf(a0, assumption, % 14.15/2.44 sK0 = X0). % 14.15/2.44 cnf(a1, assumption, % 14.15/2.44 sK1 = X1). % 14.15/2.44 cnf(c3, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 14.15/2.44 cnf(c4, plain, % 14.15/2.44 distinct_lines(X0,X1), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 14.15/2.44 % 14.15/2.44 cnf(c5, axiom, % 14.15/2.44 apart_point_and_line(X2,X3) | apart_point_and_line(X2,X4) | apart_point_and_line(X5,X3) | apart_point_and_line(X5,X4) | ~distinct_lines(X4,X3) | ~distinct_points(X5,X2)). % 14.15/2.44 cnf(a2, assumption, % 14.15/2.44 X0 = X4). % 14.15/2.44 cnf(a3, assumption, % 14.15/2.44 X1 = X3). % 14.15/2.44 cnf(c6, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 14.15/2.44 cnf(c7, plain, % 14.15/2.44 apart_point_and_line(X2,X3) | apart_point_and_line(X2,X4) | apart_point_and_line(X5,X3) | apart_point_and_line(X5,X4) | ~distinct_points(X5,X2), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 14.15/2.44 % 14.15/2.44 cnf(c8, axiom, % 14.15/2.44 ~apart_point_and_line(intersection_point(sK2,sK3),sK1)). % 14.15/2.44 cnf(a4, assumption, % 14.15/2.44 X2 = intersection_point(sK2,sK3)). % 14.15/2.44 cnf(a5, assumption, % 14.15/2.44 X3 = sK1). % 14.15/2.44 cnf(c9, plain, % 14.15/2.44 apart_point_and_line(X2,X4) | apart_point_and_line(X5,X3) | apart_point_and_line(X5,X4) | ~distinct_points(X5,X2), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 14.15/2.44 cnf(c10, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 14.15/2.44 % 14.15/2.44 cnf(c11, axiom, % 14.15/2.44 ~apart_point_and_line(intersection_point(sK2,sK3),sK0)). % 14.15/2.44 cnf(a6, assumption, % 14.15/2.44 X2 = intersection_point(sK2,sK3)). % 14.15/2.44 cnf(a7, assumption, % 14.15/2.44 X4 = sK0). % 14.15/2.44 cnf(c12, plain, % 14.15/2.44 apart_point_and_line(X5,X3) | apart_point_and_line(X5,X4) | ~distinct_points(X5,X2), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 14.15/2.44 cnf(c13, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 14.15/2.44 % 14.15/2.44 cnf(c14, axiom, % 14.15/2.44 distinct_points(X6,intersection_point(X7,X8)) | ~apart_point_and_line(X6,X8) | ~convergent_lines(X7,X8)). % 14.15/2.44 cnf(a8, assumption, % 14.15/2.44 X5 = X6). % 14.15/2.44 cnf(a9, assumption, % 14.15/2.44 X3 = X8). % 14.15/2.44 cnf(c15, plain, % 14.15/2.44 apart_point_and_line(X5,X4) | ~distinct_points(X5,X2), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 14.15/2.44 cnf(c16, plain, % 14.15/2.44 distinct_points(X6,intersection_point(X7,X8)) | ~convergent_lines(X7,X8), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 14.15/2.44 % 14.15/2.44 cnf(c17, axiom, % 14.15/2.44 ~distinct_points(X9,X9)). % 14.15/2.44 cnf(a10, assumption, % 14.15/2.44 X6 = X9). % 14.15/2.44 cnf(a11, assumption, % 14.15/2.44 intersection_point(X7,X8) = X9). % 14.15/2.44 cnf(c18, plain, % 14.15/2.44 ~convergent_lines(X7,X8), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 14.15/2.44 cnf(c19, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 14.15/2.44 % 14.15/2.44 cnf(c20, plain, % 14.15/2.44 convergent_lines(sK0,sK1)). % 14.15/2.44 cnf(a12, assumption, % 14.15/2.44 X7 = sK0). % 14.15/2.44 cnf(a13, assumption, % 14.15/2.44 X8 = sK1). % 14.15/2.44 cnf(c21, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c20])). % 14.15/2.44 % 14.15/2.44 cnf(c22, axiom, % 14.15/2.44 distinct_points(X10,intersection_point(X11,X12)) | ~apart_point_and_line(X10,X11) | ~convergent_lines(X11,X12)). % 14.15/2.44 cnf(a14, assumption, % 14.15/2.44 X5 = X10). % 14.15/2.44 cnf(a15, assumption, % 14.15/2.44 X4 = X11). % 14.15/2.44 cnf(c23, plain, % 14.15/2.44 ~distinct_points(X5,X2), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c22])). % 14.15/2.44 cnf(c24, plain, % 14.15/2.44 distinct_points(X10,intersection_point(X11,X12)) | ~convergent_lines(X11,X12), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c22])). % 14.15/2.44 % 14.15/2.44 cnf(c25, plain, % 14.15/2.44 ~distinct_points(X6,intersection_point(X7,X8))). % 14.15/2.44 cnf(a16, assumption, % 14.15/2.44 X10 = X6). % 14.15/2.44 cnf(a17, assumption, % 14.15/2.44 intersection_point(X11,X12) = intersection_point(X7,X8)). % 14.15/2.44 cnf(c26, plain, % 14.15/2.44 ~convergent_lines(X11,X12), % 14.15/2.44 inference(predicate_reduction, [assumptions([a16, a17])], [c24, c25])). % 14.15/2.44 % 14.15/2.44 cnf(c27, plain, % 14.15/2.44 convergent_lines(sK0,sK1)). % 14.15/2.44 cnf(a18, assumption, % 14.15/2.44 X11 = sK0). % 14.15/2.44 cnf(a19, assumption, % 14.15/2.44 X12 = sK1). % 14.15/2.44 cnf(c28, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(predicate_reduction, [assumptions([a18, a19])], [c26, c27])). % 14.15/2.44 % 14.15/2.44 cnf(c29, axiom, % 14.15/2.44 distinct_points(X13,intersection_point(X14,X15)) | ~apart_point_and_line(X13,X15) | ~convergent_lines(X14,X15)). % 14.15/2.44 cnf(a20, assumption, % 14.15/2.44 X5 = X13). % 14.15/2.44 cnf(a21, assumption, % 14.15/2.44 X2 = intersection_point(X14,X15)). % 14.15/2.44 cnf(c30, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a20, a21])], [c23, c29])). % 14.15/2.44 cnf(c31, plain, % 14.15/2.44 ~apart_point_and_line(X13,X15) | ~convergent_lines(X14,X15), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a20, a21])], [c23, c29])). % 14.15/2.44 % 14.15/2.44 cnf(c32, axiom, % 14.15/2.44 apart_point_and_line(intersection_point(sK0,sK1),sK3) | apart_point_and_line(intersection_point(sK0,sK1),sK2)). % 14.15/2.44 cnf(a22, assumption, % 14.15/2.44 X13 = intersection_point(sK0,sK1)). % 14.15/2.44 cnf(a23, assumption, % 14.15/2.44 X15 = sK3). % 14.15/2.44 cnf(c33, plain, % 14.15/2.44 ~convergent_lines(X14,X15), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a22, a23])], [c31, c32])). % 14.15/2.44 cnf(c34, plain, % 14.15/2.44 apart_point_and_line(intersection_point(sK0,sK1),sK2), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a22, a23])], [c31, c32])). % 14.15/2.44 % 14.15/2.44 cnf(c35, axiom, % 14.15/2.44 distinct_points(X16,intersection_point(X17,X18)) | ~apart_point_and_line(X16,X17) | ~convergent_lines(X17,X18)). % 14.15/2.44 cnf(a24, assumption, % 14.15/2.44 intersection_point(sK0,sK1) = X16). % 14.15/2.44 cnf(a25, assumption, % 14.15/2.44 sK2 = X17). % 14.15/2.44 cnf(c36, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a24, a25])], [c34, c35])). % 14.15/2.44 cnf(c37, plain, % 14.15/2.44 distinct_points(X16,intersection_point(X17,X18)) | ~convergent_lines(X17,X18), % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a24, a25])], [c34, c35])). % 14.15/2.44 % 14.15/2.44 cnf(c38, plain, % 14.15/2.44 ~distinct_points(X5,X2)). % 14.15/2.44 cnf(a26, assumption, % 14.15/2.44 X16 = X5). % 14.15/2.44 cnf(a27, assumption, % 14.15/2.44 intersection_point(X17,X18) = X2). % 14.15/2.44 cnf(c39, plain, % 14.15/2.44 ~convergent_lines(X17,X18), % 14.15/2.44 inference(predicate_reduction, [assumptions([a26, a27])], [c37, c38])). % 14.15/2.44 % 14.15/2.44 cnf(c40, axiom, % 14.15/2.44 convergent_lines(sK2,sK3)). % 14.15/2.44 cnf(a28, assumption, % 14.15/2.44 X17 = sK2). % 14.15/2.44 cnf(a29, assumption, % 14.15/2.44 X18 = sK3). % 14.15/2.44 cnf(c41, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a28, a29])], [c39, c40])). % 14.15/2.44 cnf(c42, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(strict_predicate_extension, [assumptions([a28, a29])], [c39, c40])). % 14.15/2.44 % 14.15/2.44 cnf(c43, plain, % 14.15/2.44 convergent_lines(X17,X18)). % 14.15/2.44 cnf(a30, assumption, % 14.15/2.44 X14 = X17). % 14.15/2.44 cnf(a31, assumption, % 14.15/2.44 X15 = X18). % 14.15/2.44 cnf(c44, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(predicate_reduction, [assumptions([a30, a31])], [c33, c43])). % 14.15/2.44 % 14.15/2.44 cnf(c45, plain, % 14.15/2.44 $false, % 14.15/2.44 inference(constraint_solving, [ % 14.15/2.44 bind(X0, sK0), % 14.15/2.44 bind(X1, sK1), % 14.15/2.44 bind(X2, intersection_point(sK2,sK3)), % 14.15/2.44 bind(X3, sK1), % 14.15/2.44 bind(X4, sK0), % 14.15/2.44 bind(X5, intersection_point(X7,X8)), % 14.15/2.44 bind(X6, intersection_point(X7,X8)), % 14.15/2.44 bind(X7, sK0), % 14.15/2.44 bind(X8, sK1), % 14.15/2.44 bind(X9, intersection_point(X7,X8)), % 14.15/2.44 bind(X10, intersection_point(X7,X8)), % 14.15/2.44 bind(X11, sK0), % 14.15/2.44 bind(X12, sK1), % 14.15/2.44 bind(X13, intersection_point(X7,X8)), % 14.15/2.44 bind(X14, sK2), % 14.15/2.44 bind(X15, sK3), % 14.15/2.44 bind(X16, intersection_point(sK0,sK1)), % 14.15/2.44 bind(X17, sK2), % 14.15/2.44 bind(X18, sK3) % 14.15/2.44 ], % 14.15/2.44 [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])). % 14.15/2.44 % 14.15/2.44 % SZS output end IncompleteProof %------------------------------------------------------------------------------