%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GEO192+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 : n026.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 04:59:47 EDT 2022 % Result : Theorem 0.21s 0.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Fri Jun 17 16:13:39 EDT 2022 % 0.12/0.34 % CPUTime : % 0.21/0.54 % SZS status Theorem % 0.21/0.54 % SZS output begin IncompleteProof % 0.21/0.54 cnf(c0, axiom, % 0.21/0.54 apart_point_and_line(intersection_point(sK0,sK1),sK2)). % 0.21/0.54 cnf(c1, plain, % 0.21/0.54 apart_point_and_line(intersection_point(sK0,sK1),sK2), % 0.21/0.54 inference(start, [], [c0])). % 0.21/0.54 % 0.21/0.54 cnf(c2, axiom, % 0.21/0.54 apart_point_and_line(X0,X1) | distinct_lines(X2,X1) | ~apart_point_and_line(X0,X2)). % 0.21/0.54 cnf(a0, assumption, % 0.21/0.54 intersection_point(sK0,sK1) = X0). % 0.21/0.54 cnf(a1, assumption, % 0.21/0.54 sK2 = X2). % 0.21/0.54 cnf(c3, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.54 cnf(c4, plain, % 0.21/0.54 apart_point_and_line(X0,X1) | distinct_lines(X2,X1), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.54 % 0.21/0.54 cnf(c5, axiom, % 0.21/0.54 distinct_points(X3,intersection_point(X4,X5)) | ~apart_point_and_line(X3,X4) | ~convergent_lines(X4,X5)). % 0.21/0.54 cnf(a2, assumption, % 0.21/0.54 X0 = X3). % 0.21/0.54 cnf(a3, assumption, % 0.21/0.54 X1 = X4). % 0.21/0.54 cnf(c6, plain, % 0.21/0.54 distinct_lines(X2,X1), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.54 cnf(c7, plain, % 0.21/0.54 distinct_points(X3,intersection_point(X4,X5)) | ~convergent_lines(X4,X5), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.54 % 0.21/0.54 cnf(c8, axiom, % 0.21/0.54 ~distinct_points(X6,X6)). % 0.21/0.54 cnf(a4, assumption, % 0.21/0.54 X3 = X6). % 0.21/0.54 cnf(a5, assumption, % 0.21/0.54 intersection_point(X4,X5) = X6). % 0.21/0.54 cnf(c9, plain, % 0.21/0.54 ~convergent_lines(X4,X5), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.21/0.54 cnf(c10, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.21/0.54 % 0.21/0.54 cnf(c11, axiom, % 0.21/0.54 convergent_lines(sK0,sK1)). % 0.21/0.54 cnf(a6, assumption, % 0.21/0.54 X4 = sK0). % 0.21/0.54 cnf(a7, assumption, % 0.21/0.54 X5 = sK1). % 0.21/0.54 cnf(c12, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 0.21/0.54 cnf(c13, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 0.21/0.54 % 0.21/0.54 cnf(c14, axiom, % 0.21/0.54 distinct_lines(X7,X8) | distinct_lines(X9,X8) | ~distinct_lines(X9,X7)). % 0.21/0.54 cnf(a8, assumption, % 0.21/0.54 X2 = X9). % 0.21/0.54 cnf(a9, assumption, % 0.21/0.54 X1 = X7). % 0.21/0.54 cnf(c15, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a8, a9])], [c6, c14])). % 0.21/0.54 cnf(c16, plain, % 0.21/0.54 distinct_lines(X7,X8) | distinct_lines(X9,X8), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a8, a9])], [c6, c14])). % 0.21/0.54 % 0.21/0.54 cnf(c17, axiom, % 0.21/0.54 ~distinct_lines(sK1,sK2) | ~distinct_lines(sK0,sK2)). % 0.21/0.54 cnf(a10, assumption, % 0.21/0.54 X7 = sK0). % 0.21/0.54 cnf(a11, assumption, % 0.21/0.54 X8 = sK2). % 0.21/0.54 cnf(c18, plain, % 0.21/0.54 distinct_lines(X9,X8), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 0.21/0.54 cnf(c19, plain, % 0.21/0.54 ~distinct_lines(sK1,sK2), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 0.21/0.54 % 0.21/0.54 cnf(c20, axiom, % 0.21/0.54 distinct_lines(X10,X11) | distinct_lines(X12,X11) | ~distinct_lines(X12,X10)). % 0.21/0.54 cnf(a12, assumption, % 0.21/0.54 sK1 = X10). % 0.21/0.54 cnf(a13, assumption, % 0.21/0.54 sK2 = X11). % 0.21/0.54 cnf(c21, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 0.21/0.54 cnf(c22, plain, % 0.21/0.54 distinct_lines(X12,X11) | ~distinct_lines(X12,X10), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 0.21/0.54 % 0.21/0.54 cnf(c23, axiom, % 0.21/0.54 ~distinct_lines(X13,X13)). % 0.21/0.54 cnf(a14, assumption, % 0.21/0.54 X12 = X13). % 0.21/0.54 cnf(a15, assumption, % 0.21/0.54 X11 = X13). % 0.21/0.54 cnf(c24, plain, % 0.21/0.54 ~distinct_lines(X12,X10), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 0.21/0.54 cnf(c25, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 0.21/0.54 % 0.21/0.54 cnf(c26, axiom, % 0.21/0.54 apart_point_and_line(X14,X15) | distinct_lines(X16,X15) | ~apart_point_and_line(X14,X16)). % 0.21/0.54 cnf(a16, assumption, % 0.21/0.54 X12 = X16). % 0.21/0.54 cnf(a17, assumption, % 0.21/0.54 X10 = X15). % 0.21/0.54 cnf(c27, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])). % 0.21/0.54 cnf(c28, plain, % 0.21/0.54 apart_point_and_line(X14,X15) | ~apart_point_and_line(X14,X16), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])). % 0.21/0.54 % 0.21/0.54 cnf(c29, axiom, % 0.21/0.54 distinct_points(X17,intersection_point(X18,X19)) | ~apart_point_and_line(X17,X19) | ~convergent_lines(X18,X19)). % 0.21/0.54 cnf(a18, assumption, % 0.21/0.54 X14 = X17). % 0.21/0.54 cnf(a19, assumption, % 0.21/0.54 X15 = X19). % 0.21/0.54 cnf(c30, plain, % 0.21/0.54 ~apart_point_and_line(X14,X16), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])). % 0.21/0.54 cnf(c31, plain, % 0.21/0.54 distinct_points(X17,intersection_point(X18,X19)) | ~convergent_lines(X18,X19), % 0.21/0.54 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])). % 0.21/0.54 % 0.21/0.54 cnf(c32, plain, % 0.21/0.54 ~distinct_points(X3,intersection_point(X4,X5))). % 0.21/0.54 cnf(a20, assumption, % 0.21/0.54 X17 = X3). % 0.21/0.54 cnf(a21, assumption, % 0.21/0.54 intersection_point(X18,X19) = intersection_point(X4,X5)). % 0.21/0.54 cnf(c33, plain, % 0.21/0.54 ~convergent_lines(X18,X19), % 0.21/0.54 inference(predicate_reduction, [assumptions([a20, a21])], [c31, c32])). % 0.21/0.54 % 0.21/0.54 cnf(c34, plain, % 0.21/0.54 convergent_lines(X4,X5)). % 0.21/0.54 cnf(a22, assumption, % 0.21/0.54 X18 = X4). % 0.21/0.54 cnf(a23, assumption, % 0.21/0.54 X19 = X5). % 0.21/0.54 cnf(c35, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(predicate_reduction, [assumptions([a22, a23])], [c33, c34])). % 0.21/0.54 % 0.21/0.54 cnf(c36, plain, % 0.21/0.54 apart_point_and_line(intersection_point(sK0,sK1),sK2)). % 0.21/0.54 cnf(a24, assumption, % 0.21/0.54 X14 = intersection_point(sK0,sK1)). % 0.21/0.54 cnf(a25, assumption, % 0.21/0.54 X16 = sK2). % 0.21/0.54 cnf(c37, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(predicate_reduction, [assumptions([a24, a25])], [c30, c36])). % 0.21/0.54 % 0.21/0.54 cnf(c38, plain, % 0.21/0.54 ~distinct_lines(X12,X11)). % 0.21/0.54 cnf(a26, assumption, % 0.21/0.54 X9 = X12). % 0.21/0.54 cnf(a27, assumption, % 0.21/0.54 X8 = X11). % 0.21/0.54 cnf(c39, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(predicate_reduction, [assumptions([a26, a27])], [c18, c38])). % 0.21/0.54 % 0.21/0.54 cnf(c40, plain, % 0.21/0.54 $false, % 0.21/0.54 inference(constraint_solving, [ % 0.21/0.54 bind(X0, intersection_point(sK0,sK1)), % 0.21/0.54 bind(X1, sK0), % 0.21/0.54 bind(X2, sK2), % 0.21/0.54 bind(X3, intersection_point(sK0,sK1)), % 0.21/0.54 bind(X4, sK0), % 0.21/0.54 bind(X5, sK1), % 0.21/0.54 bind(X6, intersection_point(sK0,sK1)), % 0.21/0.54 bind(X7, sK0), % 0.21/0.54 bind(X8, sK2), % 0.21/0.54 bind(X9, sK2), % 0.21/0.54 bind(X10, sK1), % 0.21/0.54 bind(X11, sK2), % 0.21/0.54 bind(X12, sK2), % 0.21/0.54 bind(X13, sK2), % 0.21/0.54 bind(X14, intersection_point(sK0,sK1)), % 0.21/0.54 bind(X15, sK1), % 0.21/0.54 bind(X16, sK2), % 0.21/0.54 bind(X17, intersection_point(sK0,sK1)), % 0.21/0.54 bind(X18, sK0), % 0.21/0.54 bind(X19, sK1) % 0.21/0.54 ], % 0.21/0.54 [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])). % 0.21/0.54 % 0.21/0.54 % SZS output end IncompleteProof %------------------------------------------------------------------------------