%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GEO222+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 05:00:09 EDT 2022 % Result : Theorem 84.86s 12.48s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n010.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 : Sat Jun 18 07:08:38 EDT 2022 % 0.12/0.34 % CPUTime : % 84.86/12.48 % SZS status Theorem % 84.86/12.48 % SZS output begin IncompleteProof % 84.86/12.48 cnf(c0, axiom, % 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))). % 84.86/12.48 cnf(c1, plain, % 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)), % 84.86/12.48 inference(start, [], [c0])). % 84.86/12.48 % 84.86/12.48 cnf(c2, axiom, % 84.86/12.48 distinct_points(X0,intersection_point(X1,X2)) | ~apart_point_and_line(X0,X1) | ~convergent_lines(X1,X2)). % 84.86/12.48 cnf(a0, assumption, % 84.86/12.48 sK2 = X1). % 84.86/12.48 cnf(a1, assumption, % 84.86/12.48 orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1) = X2). % 84.86/12.48 cnf(c3, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 84.86/12.48 cnf(c4, plain, % 84.86/12.48 distinct_points(X0,intersection_point(X1,X2)) | ~apart_point_and_line(X0,X1), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 84.86/12.48 % 84.86/12.48 cnf(c5, axiom, % 84.86/12.48 ~distinct_points(X3,X3)). % 84.86/12.48 cnf(a2, assumption, % 84.86/12.48 X0 = X3). % 84.86/12.48 cnf(a3, assumption, % 84.86/12.48 intersection_point(X1,X2) = X3). % 84.86/12.48 cnf(c6, plain, % 84.86/12.48 ~apart_point_and_line(X0,X1), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 84.86/12.48 cnf(c7, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 84.86/12.48 % 84.86/12.48 cnf(c8, axiom, % 84.86/12.48 unorthogonal_lines(X4,X5) | unorthogonal_lines(X6,X5) | apart_point_and_line(X7,X4) | apart_point_and_line(X7,X6) | ~distinct_lines(X6,X4)). % 84.86/12.48 cnf(a4, assumption, % 84.86/12.48 X0 = X7). % 84.86/12.48 cnf(a5, assumption, % 84.86/12.48 X1 = X6). % 84.86/12.48 cnf(c9, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])). % 84.86/12.48 cnf(c10, plain, % 84.86/12.48 unorthogonal_lines(X4,X5) | unorthogonal_lines(X6,X5) | apart_point_and_line(X7,X4) | ~distinct_lines(X6,X4), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])). % 84.86/12.48 % 84.86/12.48 cnf(c11, axiom, % 84.86/12.48 ~unorthogonal_lines(orthogonal_through_point(X8,X9),X8)). % 84.86/12.48 cnf(a6, assumption, % 84.86/12.48 X4 = orthogonal_through_point(X8,X9)). % 84.86/12.48 cnf(a7, assumption, % 84.86/12.48 X5 = X8). % 84.86/12.48 cnf(c12, plain, % 84.86/12.48 unorthogonal_lines(X6,X5) | apart_point_and_line(X7,X4) | ~distinct_lines(X6,X4), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 84.86/12.48 cnf(c13, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 84.86/12.48 % 84.86/12.48 cnf(c14, axiom, % 84.86/12.48 unorthogonal_lines(X10,X11) | sP0(X11,X12) | ~unorthogonal_lines(X12,X10) | ~convergent_lines(X12,X10)). % 84.86/12.48 cnf(a8, assumption, % 84.86/12.48 X6 = X12). % 84.86/12.48 cnf(a9, assumption, % 84.86/12.48 X5 = X10). % 84.86/12.48 cnf(c15, plain, % 84.86/12.48 apart_point_and_line(X7,X4) | ~distinct_lines(X6,X4), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 84.86/12.48 cnf(c16, plain, % 84.86/12.48 unorthogonal_lines(X10,X11) | sP0(X11,X12) | ~convergent_lines(X12,X10), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 84.86/12.48 % 84.86/12.48 cnf(c17, axiom, % 84.86/12.48 ~unorthogonal_lines(orthogonal_through_point(X13,X14),X13)). % 84.86/12.48 cnf(a10, assumption, % 84.86/12.48 X10 = orthogonal_through_point(X13,X14)). % 84.86/12.48 cnf(a11, assumption, % 84.86/12.48 X11 = X13). % 84.86/12.48 cnf(c18, plain, % 84.86/12.48 sP0(X11,X12) | ~convergent_lines(X12,X10), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 84.86/12.48 cnf(c19, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 84.86/12.48 % 84.86/12.48 cnf(c20, axiom, % 84.86/12.48 convergent_lines(X15,X16) | ~sP0(X16,X15)). % 84.86/12.48 cnf(a12, assumption, % 84.86/12.48 X11 = X16). % 84.86/12.48 cnf(a13, assumption, % 84.86/12.48 X12 = X15). % 84.86/12.48 cnf(c21, plain, % 84.86/12.48 ~convergent_lines(X12,X10), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])). % 84.86/12.48 cnf(c22, plain, % 84.86/12.48 convergent_lines(X15,X16), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])). % 84.86/12.48 % 84.86/12.48 cnf(c23, axiom, % 84.86/12.48 ~convergent_lines(X17,X17)). % 84.86/12.48 cnf(a14, assumption, % 84.86/12.48 X15 = X17). % 84.86/12.48 cnf(a15, assumption, % 84.86/12.48 X16 = X17). % 84.86/12.48 cnf(c24, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 84.86/12.48 cnf(c25, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 84.86/12.48 % 84.86/12.48 cnf(c26, axiom, % 84.86/12.48 convergent_lines(X18,X19) | convergent_lines(X20,X19) | ~convergent_lines(X20,X18)). % 84.86/12.48 cnf(a16, assumption, % 84.86/12.48 X12 = X18). % 84.86/12.48 cnf(a17, assumption, % 84.86/12.48 X10 = X19). % 84.86/12.48 cnf(c27, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c26])). % 84.86/12.48 cnf(c28, plain, % 84.86/12.48 convergent_lines(X20,X19) | ~convergent_lines(X20,X18), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c26])). % 84.86/12.48 % 84.86/12.48 cnf(c29, axiom, % 84.86/12.48 ~convergent_lines(X21,X21)). % 84.86/12.48 cnf(a18, assumption, % 84.86/12.48 X20 = X21). % 84.86/12.48 cnf(a19, assumption, % 84.86/12.48 X19 = X21). % 84.86/12.48 cnf(c30, plain, % 84.86/12.48 ~convergent_lines(X20,X18), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])). % 84.86/12.48 cnf(c31, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])). % 84.86/12.48 % 84.86/12.48 cnf(c32, axiom, % 84.86/12.48 unorthogonal_lines(X22,X23) | convergent_lines(X22,X23)). % 84.86/12.48 cnf(a20, assumption, % 84.86/12.48 X20 = X22). % 84.86/12.48 cnf(a21, assumption, % 84.86/12.48 X18 = X23). % 84.86/12.48 cnf(c33, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c32])). % 84.86/12.48 cnf(c34, plain, % 84.86/12.48 unorthogonal_lines(X22,X23), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c32])). % 84.86/12.48 % 84.86/12.48 cnf(c35, plain, % 84.86/12.48 ~unorthogonal_lines(X10,X11)). % 84.86/12.48 cnf(a22, assumption, % 84.86/12.48 X22 = X10). % 84.86/12.48 cnf(a23, assumption, % 84.86/12.48 X23 = X11). % 84.86/12.48 cnf(c36, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(predicate_reduction, [assumptions([a22, a23])], [c34, c35])). % 84.86/12.48 % 84.86/12.48 cnf(c37, axiom, % 84.86/12.48 distinct_points(X24,intersection_point(X25,X26)) | ~apart_point_and_line(X24,X26) | ~convergent_lines(X25,X26)). % 84.86/12.48 cnf(a24, assumption, % 84.86/12.48 X7 = X24). % 84.86/12.48 cnf(a25, assumption, % 84.86/12.48 X4 = X26). % 84.86/12.48 cnf(c38, plain, % 84.86/12.48 ~distinct_lines(X6,X4), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a24, a25])], [c15, c37])). % 84.86/12.48 cnf(c39, plain, % 84.86/12.48 distinct_points(X24,intersection_point(X25,X26)) | ~convergent_lines(X25,X26), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a24, a25])], [c15, c37])). % 84.86/12.48 % 84.86/12.48 cnf(c40, plain, % 84.86/12.48 ~distinct_points(X0,intersection_point(X1,X2))). % 84.86/12.48 cnf(a26, assumption, % 84.86/12.48 X24 = X0). % 84.86/12.48 cnf(a27, assumption, % 84.86/12.48 intersection_point(X25,X26) = intersection_point(X1,X2)). % 84.86/12.48 cnf(c41, plain, % 84.86/12.48 ~convergent_lines(X25,X26), % 84.86/12.48 inference(predicate_reduction, [assumptions([a26, a27])], [c39, c40])). % 84.86/12.48 % 84.86/12.48 cnf(c42, plain, % 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))). % 84.86/12.48 cnf(a28, assumption, % 84.86/12.48 X25 = sK2). % 84.86/12.48 cnf(a29, assumption, % 84.86/12.48 X26 = orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)). % 84.86/12.48 cnf(c43, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(predicate_reduction, [assumptions([a28, a29])], [c41, c42])). % 84.86/12.48 % 84.86/12.48 cnf(c44, axiom, % 84.86/12.48 distinct_lines(X27,X28) | ~convergent_lines(X27,X28)). % 84.86/12.48 cnf(a30, assumption, % 84.86/12.48 X6 = X27). % 84.86/12.48 cnf(a31, assumption, % 84.86/12.48 X4 = X28). % 84.86/12.48 cnf(c45, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a30, a31])], [c38, c44])). % 84.86/12.48 cnf(c46, plain, % 84.86/12.48 ~convergent_lines(X27,X28), % 84.86/12.48 inference(strict_predicate_extension, [assumptions([a30, a31])], [c38, c44])). % 84.86/12.48 % 84.86/12.48 cnf(c47, plain, % 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))). % 84.86/12.48 cnf(a32, assumption, % 84.86/12.48 X27 = sK2). % 84.86/12.48 cnf(a33, assumption, % 84.86/12.48 X28 = orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)). % 84.86/12.48 cnf(c48, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(predicate_reduction, [assumptions([a32, a33])], [c46, c47])). % 84.86/12.48 % 84.86/12.48 cnf(c49, plain, % 84.86/12.48 $false, % 84.86/12.48 inference(constraint_solving, [ % 84.86/12.48 bind(X0, intersection_point(X1,X2)), % 84.86/12.48 bind(X1, sK2), % 84.86/12.48 bind(X2, orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)), % 84.86/12.48 bind(X3, intersection_point(X1,X2)), % 84.86/12.48 bind(X4, orthogonal_through_point(X8,X9)), % 84.86/12.48 bind(X5, orthogonal_through_point(X13,X14)), % 84.86/12.48 bind(X6, sK2), % 84.86/12.48 bind(X7, intersection_point(X1,X2)), % 84.86/12.48 bind(X8, orthogonal_through_point(X13,X14)), % 84.86/12.48 bind(X9, sK1), % 84.86/12.48 bind(X10, orthogonal_through_point(X13,X14)), % 84.86/12.48 bind(X11, sK2), % 84.86/12.48 bind(X12, sK2), % 84.86/12.48 bind(X13, sK2), % 84.86/12.48 bind(X14, sK1), % 84.86/12.48 bind(X15, sK2), % 84.86/12.48 bind(X16, sK2), % 84.86/12.48 bind(X17, sK2), % 84.86/12.48 bind(X18, sK2), % 84.86/12.48 bind(X19, orthogonal_through_point(X13,X14)), % 84.86/12.48 bind(X20, orthogonal_through_point(X13,X14)), % 84.86/12.48 bind(X21, orthogonal_through_point(X13,X14)), % 84.86/12.48 bind(X22, orthogonal_through_point(X13,X14)), % 84.86/12.48 bind(X23, sK2), % 84.86/12.48 bind(X24, intersection_point(X1,X2)), % 84.86/12.48 bind(X25, sK2), % 84.86/12.48 bind(X26, orthogonal_through_point(X8,X9)), % 84.86/12.48 bind(X27, sK2), % 84.86/12.48 bind(X28, orthogonal_through_point(X8,X9)) % 84.86/12.48 ], % 84.86/12.48 [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, a32, a33])). % 84.86/12.48 % 84.86/12.48 % SZS output end IncompleteProof %------------------------------------------------------------------------------