%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n025.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 04:59:43 EDT 2022 % Result : Theorem 47.76s 6.74s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n025.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sat Jun 18 05:17:28 EDT 2022 % 0.13/0.33 % CPUTime : % 47.76/6.74 % SZS status Theorem % 47.76/6.74 % SZS output begin IncompleteProof % 47.76/6.74 cnf(c0, axiom, % 47.76/6.74 ~incident_point_and_line(sK5,line_connecting(sK2,sK3)) | ~incident_point_and_line(sK4,line_connecting(sK2,sK3))). % 47.76/6.74 cnf(c1, plain, % 47.76/6.74 ~incident_point_and_line(sK5,line_connecting(sK2,sK3)) | ~incident_point_and_line(sK4,line_connecting(sK2,sK3)), % 47.76/6.74 inference(start, [], [c0])). % 47.76/6.74 % 47.76/6.74 cnf(c2, axiom, % 47.76/6.74 incident_point_and_line(X0,X1) | apart_point_and_line(X0,X1)). % 47.76/6.74 cnf(a0, assumption, % 47.76/6.74 sK5 = X0). % 47.76/6.74 cnf(a1, assumption, % 47.76/6.74 line_connecting(sK2,sK3) = X1). % 47.76/6.74 cnf(c3, plain, % 47.76/6.74 ~incident_point_and_line(sK4,line_connecting(sK2,sK3)), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 47.76/6.74 cnf(c4, plain, % 47.76/6.74 apart_point_and_line(X0,X1), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 47.76/6.74 % 47.76/6.74 cnf(c5, axiom, % 47.76/6.74 apart_point_and_line(X2,X3) | distinct_lines(X4,X3) | ~apart_point_and_line(X2,X4)). % 47.76/6.74 cnf(a2, assumption, % 47.76/6.74 X0 = X2). % 47.76/6.74 cnf(a3, assumption, % 47.76/6.74 X1 = X4). % 47.76/6.74 cnf(c6, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 47.76/6.74 cnf(c7, plain, % 47.76/6.74 apart_point_and_line(X2,X3) | distinct_lines(X4,X3), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 47.76/6.74 % 47.76/6.74 cnf(c8, axiom, % 47.76/6.74 ~apart_point_and_line(X5,parallel_through_point(X6,X5))). % 47.76/6.74 cnf(a4, assumption, % 47.76/6.74 X2 = X5). % 47.76/6.74 cnf(a5, assumption, % 47.76/6.74 X3 = parallel_through_point(X6,X5)). % 47.76/6.74 cnf(c9, plain, % 47.76/6.74 distinct_lines(X4,X3), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 47.76/6.74 cnf(c10, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 47.76/6.74 % 47.76/6.74 cnf(c11, axiom, % 47.76/6.74 distinct_lines(X7,X8) | distinct_lines(X9,X8) | ~distinct_lines(X9,X7)). % 47.76/6.74 cnf(a6, assumption, % 47.76/6.74 X4 = X9). % 47.76/6.74 cnf(a7, assumption, % 47.76/6.74 X3 = X7). % 47.76/6.74 cnf(c12, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 47.76/6.74 cnf(c13, plain, % 47.76/6.74 distinct_lines(X7,X8) | distinct_lines(X9,X8), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 47.76/6.74 % 47.76/6.74 cnf(c14, axiom, % 47.76/6.74 convergent_lines(X10,X11) | ~distinct_lines(X10,X11)). % 47.76/6.74 cnf(a8, assumption, % 47.76/6.74 X7 = X10). % 47.76/6.74 cnf(a9, assumption, % 47.76/6.74 X8 = X11). % 47.76/6.74 cnf(c15, plain, % 47.76/6.74 distinct_lines(X9,X8), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 47.76/6.74 cnf(c16, plain, % 47.76/6.74 convergent_lines(X10,X11), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 47.76/6.74 % 47.76/6.74 cnf(c17, axiom, % 47.76/6.74 ~convergent_lines(parallel_through_point(X12,X13),X12)). % 47.76/6.74 cnf(a10, assumption, % 47.76/6.74 X10 = parallel_through_point(X12,X13)). % 47.76/6.74 cnf(a11, assumption, % 47.76/6.74 X11 = X12). % 47.76/6.74 cnf(c18, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 47.76/6.74 cnf(c19, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 47.76/6.74 % 47.76/6.74 cnf(c20, axiom, % 47.76/6.74 distinct_lines(X14,X15) | distinct_lines(X16,X15) | ~distinct_lines(X16,X14)). % 47.76/6.74 cnf(a12, assumption, % 47.76/6.74 X9 = X16). % 47.76/6.74 cnf(a13, assumption, % 47.76/6.74 X8 = X14). % 47.76/6.74 cnf(c21, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])). % 47.76/6.74 cnf(c22, plain, % 47.76/6.74 distinct_lines(X14,X15) | distinct_lines(X16,X15), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])). % 47.76/6.74 % 47.76/6.74 cnf(c23, axiom, % 47.76/6.74 convergent_lines(X17,X18) | ~distinct_lines(X17,X18)). % 47.76/6.74 cnf(a14, assumption, % 47.76/6.74 X14 = X17). % 47.76/6.74 cnf(a15, assumption, % 47.76/6.74 X15 = X18). % 47.76/6.74 cnf(c24, plain, % 47.76/6.74 distinct_lines(X16,X15), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 47.76/6.74 cnf(c25, plain, % 47.76/6.74 convergent_lines(X17,X18), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 47.76/6.74 % 47.76/6.74 cnf(c26, axiom, % 47.76/6.74 ~convergent_lines(parallel_through_point(X19,X20),X19)). % 47.76/6.74 cnf(a16, assumption, % 47.76/6.74 X17 = parallel_through_point(X19,X20)). % 47.76/6.74 cnf(a17, assumption, % 47.76/6.74 X18 = X19). % 47.76/6.74 cnf(c27, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 47.76/6.74 cnf(c28, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 47.76/6.74 % 47.76/6.74 cnf(c29, axiom, % 47.76/6.74 ~distinct_lines(X21,X21)). % 47.76/6.74 cnf(a18, assumption, % 47.76/6.74 X16 = X21). % 47.76/6.74 cnf(a19, assumption, % 47.76/6.74 X15 = X21). % 47.76/6.74 cnf(c30, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c29])). % 47.76/6.74 cnf(c31, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c29])). % 47.76/6.74 % 47.76/6.74 cnf(c32, axiom, % 47.76/6.74 incident_point_and_line(X22,X23) | apart_point_and_line(X22,X23)). % 47.76/6.74 cnf(a20, assumption, % 47.76/6.74 sK4 = X22). % 47.76/6.74 cnf(a21, assumption, % 47.76/6.74 line_connecting(sK2,sK3) = X23). % 47.76/6.74 cnf(c33, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c32])). % 47.76/6.74 cnf(c34, plain, % 47.76/6.74 apart_point_and_line(X22,X23), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c32])). % 47.76/6.74 % 47.76/6.74 cnf(c35, axiom, % 47.76/6.74 apart_point_and_line(X24,X25) | distinct_lines(X26,X25) | ~apart_point_and_line(X24,X26)). % 47.76/6.74 cnf(a22, assumption, % 47.76/6.74 X22 = X24). % 47.76/6.74 cnf(a23, assumption, % 47.76/6.74 X23 = X26). % 47.76/6.74 cnf(c36, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a22, a23])], [c34, c35])). % 47.76/6.74 cnf(c37, plain, % 47.76/6.74 apart_point_and_line(X24,X25) | distinct_lines(X26,X25), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a22, a23])], [c34, c35])). % 47.76/6.74 % 47.76/6.74 cnf(c38, axiom, % 47.76/6.74 ~apart_point_and_line(X27,parallel_through_point(X28,X27))). % 47.76/6.74 cnf(a24, assumption, % 47.76/6.74 X24 = X27). % 47.76/6.74 cnf(a25, assumption, % 47.76/6.74 X25 = parallel_through_point(X28,X27)). % 47.76/6.74 cnf(c39, plain, % 47.76/6.74 distinct_lines(X26,X25), % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a24, a25])], [c37, c38])). % 47.76/6.74 cnf(c40, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(strict_predicate_extension, [assumptions([a24, a25])], [c37, c38])). % 47.76/6.74 % 47.76/6.74 cnf(c41, plain, % 47.76/6.74 ~distinct_lines(X9,X8)). % 47.76/6.74 cnf(a26, assumption, % 47.76/6.74 X26 = X9). % 47.76/6.74 cnf(a27, assumption, % 47.76/6.74 X25 = X8). % 47.76/6.74 cnf(c42, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(predicate_reduction, [assumptions([a26, a27])], [c39, c41])). % 47.76/6.74 % 47.76/6.74 cnf(c43, plain, % 47.76/6.74 $false, % 47.76/6.74 inference(constraint_solving, [ % 47.76/6.74 bind(X0, sK5), % 47.76/6.74 bind(X1, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X2, sK5), % 47.76/6.74 bind(X3, parallel_through_point(X6,X5)), % 47.76/6.74 bind(X4, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X5, sK5), % 47.76/6.74 bind(X6, parallel_through_point(X19,X20)), % 47.76/6.74 bind(X7, parallel_through_point(X6,X5)), % 47.76/6.74 bind(X8, parallel_through_point(X19,X20)), % 47.76/6.74 bind(X9, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X10, parallel_through_point(X6,X5)), % 47.76/6.74 bind(X11, parallel_through_point(X19,X20)), % 47.76/6.74 bind(X12, parallel_through_point(X19,X20)), % 47.76/6.74 bind(X13, sK5), % 47.76/6.74 bind(X14, parallel_through_point(X19,X20)), % 47.76/6.74 bind(X15, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X16, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X17, parallel_through_point(X19,X20)), % 47.76/6.74 bind(X18, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X19, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X20, sK4), % 47.76/6.74 bind(X21, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X22, sK4), % 47.76/6.74 bind(X23, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X24, sK4), % 47.76/6.74 bind(X25, parallel_through_point(X28,X27)), % 47.76/6.74 bind(X26, line_connecting(sK2,sK3)), % 47.76/6.74 bind(X27, sK4), % 47.76/6.74 bind(X28, line_connecting(sK2,sK3)) % 47.76/6.74 ], % 47.76/6.74 [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])). % 47.76/6.74 % 47.76/6.74 % SZS output end IncompleteProof %------------------------------------------------------------------------------