%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GEO223+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 : n012.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 05:00:10 EDT 2022 % Result : Theorem 8.08s 1.45s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GEO223+2 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n012.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sat Jun 18 06:28:23 EDT 2022 % 0.14/0.36 % CPUTime : % 8.08/1.45 % SZS status Theorem % 8.08/1.45 % SZS output begin IncompleteProof % 8.08/1.45 cnf(c0, axiom, % 8.08/1.45 distinct_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))). % 8.08/1.45 cnf(c1, plain, % 8.08/1.45 distinct_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)), % 8.08/1.45 inference(start, [], [c0])). % 8.08/1.45 % 8.08/1.45 cnf(c2, axiom, % 8.08/1.45 unorthogonal_lines(X0,X1) | unorthogonal_lines(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X0)). % 8.08/1.45 cnf(a0, assumption, % 8.08/1.45 parallel_through_point(sK2,sK1) = X2). % 8.08/1.45 cnf(a1, assumption, % 8.08/1.45 orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1) = X0). % 8.08/1.45 cnf(c3, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 8.08/1.45 cnf(c4, plain, % 8.08/1.45 unorthogonal_lines(X0,X1) | unorthogonal_lines(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X2), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 8.08/1.45 % 8.08/1.45 cnf(c5, axiom, % 8.08/1.45 ~unorthogonal_lines(orthogonal_through_point(X4,X5),X4)). % 8.08/1.45 cnf(a2, assumption, % 8.08/1.45 X0 = orthogonal_through_point(X4,X5)). % 8.08/1.45 cnf(a3, assumption, % 8.08/1.45 X1 = X4). % 8.08/1.45 cnf(c6, plain, % 8.08/1.45 unorthogonal_lines(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X2), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 8.08/1.45 cnf(c7, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 8.08/1.45 % 8.08/1.45 cnf(c8, axiom, % 8.08/1.45 unorthogonal_lines(X6,X7) | sP0(X7,X8) | ~unorthogonal_lines(X8,X6) | ~convergent_lines(X8,X6)). % 8.08/1.45 cnf(a4, assumption, % 8.08/1.45 X2 = X8). % 8.08/1.45 cnf(a5, assumption, % 8.08/1.45 X1 = X6). % 8.08/1.45 cnf(c9, plain, % 8.08/1.45 apart_point_and_line(X3,X0) | apart_point_and_line(X3,X2), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])). % 8.08/1.45 cnf(c10, plain, % 8.08/1.45 unorthogonal_lines(X6,X7) | sP0(X7,X8) | ~convergent_lines(X8,X6), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])). % 8.08/1.45 % 8.08/1.45 cnf(c11, axiom, % 8.08/1.45 ~unorthogonal_lines(orthogonal_through_point(X9,X10),X9)). % 8.08/1.45 cnf(a6, assumption, % 8.08/1.45 X6 = orthogonal_through_point(X9,X10)). % 8.08/1.45 cnf(a7, assumption, % 8.08/1.45 X7 = X9). % 8.08/1.45 cnf(c12, plain, % 8.08/1.45 sP0(X7,X8) | ~convergent_lines(X8,X6), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 8.08/1.45 cnf(c13, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 8.08/1.45 % 8.08/1.45 cnf(c14, axiom, % 8.08/1.45 convergent_lines(X11,X12) | ~sP0(X12,X11)). % 8.08/1.45 cnf(a8, assumption, % 8.08/1.45 X7 = X12). % 8.08/1.45 cnf(a9, assumption, % 8.08/1.45 X8 = X11). % 8.08/1.45 cnf(c15, plain, % 8.08/1.45 ~convergent_lines(X8,X6), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 8.08/1.45 cnf(c16, plain, % 8.08/1.45 convergent_lines(X11,X12), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 8.08/1.45 % 8.08/1.45 cnf(c17, axiom, % 8.08/1.45 ~convergent_lines(parallel_through_point(X13,X14),X13)). % 8.08/1.45 cnf(a10, assumption, % 8.08/1.45 X11 = parallel_through_point(X13,X14)). % 8.08/1.45 cnf(a11, assumption, % 8.08/1.45 X12 = X13). % 8.08/1.45 cnf(c18, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 8.08/1.45 cnf(c19, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 8.08/1.45 % 8.08/1.45 cnf(c20, axiom, % 8.08/1.45 convergent_lines(X15,X16) | convergent_lines(X17,X16) | ~convergent_lines(X17,X15)). % 8.08/1.45 cnf(a12, assumption, % 8.08/1.45 X8 = X15). % 8.08/1.45 cnf(a13, assumption, % 8.08/1.45 X6 = X16). % 8.08/1.45 cnf(c21, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])). % 8.08/1.45 cnf(c22, plain, % 8.08/1.45 convergent_lines(X17,X16) | ~convergent_lines(X17,X15), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])). % 8.08/1.45 % 8.08/1.45 cnf(c23, axiom, % 8.08/1.45 ~convergent_lines(X18,X18)). % 8.08/1.45 cnf(a14, assumption, % 8.08/1.45 X17 = X18). % 8.08/1.45 cnf(a15, assumption, % 8.08/1.45 X16 = X18). % 8.08/1.45 cnf(c24, plain, % 8.08/1.45 ~convergent_lines(X17,X15), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 8.08/1.45 cnf(c25, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 8.08/1.45 % 8.08/1.45 cnf(c26, axiom, % 8.08/1.45 convergent_lines(X19,X20) | convergent_lines(X21,X20) | ~convergent_lines(X21,X19)). % 8.08/1.45 cnf(a16, assumption, % 8.08/1.45 X17 = X21). % 8.08/1.45 cnf(a17, assumption, % 8.08/1.45 X15 = X20). % 8.08/1.45 cnf(c27, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])). % 8.08/1.45 cnf(c28, plain, % 8.08/1.45 convergent_lines(X19,X20) | ~convergent_lines(X21,X19), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])). % 8.08/1.45 % 8.08/1.45 cnf(c29, axiom, % 8.08/1.45 convergent_lines(X22,X23) | convergent_lines(X24,X23) | ~convergent_lines(X24,X22)). % 8.08/1.45 cnf(a18, assumption, % 8.08/1.45 X19 = X24). % 8.08/1.45 cnf(a19, assumption, % 8.08/1.45 X20 = X22). % 8.08/1.45 cnf(c30, plain, % 8.08/1.45 ~convergent_lines(X21,X19), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])). % 8.08/1.45 cnf(c31, plain, % 8.08/1.45 convergent_lines(X22,X23) | convergent_lines(X24,X23), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])). % 8.08/1.45 % 8.08/1.45 cnf(c32, plain, % 8.08/1.45 ~convergent_lines(X11,X12)). % 8.08/1.45 cnf(a20, assumption, % 8.08/1.45 X22 = X11). % 8.08/1.45 cnf(a21, assumption, % 8.08/1.45 X23 = X12). % 8.08/1.45 cnf(c33, plain, % 8.08/1.45 convergent_lines(X24,X23), % 8.08/1.45 inference(predicate_reduction, [assumptions([a20, a21])], [c31, c32])). % 8.08/1.45 % 8.08/1.45 cnf(c34, axiom, % 8.08/1.45 ~convergent_lines(X25,X25)). % 8.08/1.45 cnf(a22, assumption, % 8.08/1.45 X24 = X25). % 8.08/1.45 cnf(a23, assumption, % 8.08/1.45 X23 = X25). % 8.08/1.45 cnf(c35, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c34])). % 8.08/1.45 cnf(c36, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c34])). % 8.08/1.45 % 8.08/1.45 cnf(c37, axiom, % 8.08/1.45 unorthogonal_lines(X26,X27) | convergent_lines(X26,X27)). % 8.08/1.45 cnf(a24, assumption, % 8.08/1.45 X21 = X26). % 8.08/1.45 cnf(a25, assumption, % 8.08/1.45 X19 = X27). % 8.08/1.45 cnf(c38, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a24, a25])], [c30, c37])). % 8.08/1.45 cnf(c39, plain, % 8.08/1.45 unorthogonal_lines(X26,X27), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a24, a25])], [c30, c37])). % 8.08/1.45 % 8.08/1.45 cnf(c40, plain, % 8.08/1.45 ~unorthogonal_lines(X6,X7)). % 8.08/1.45 cnf(a26, assumption, % 8.08/1.45 X26 = X6). % 8.08/1.45 cnf(a27, assumption, % 8.08/1.45 X27 = X7). % 8.08/1.45 cnf(c41, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(predicate_reduction, [assumptions([a26, a27])], [c39, c40])). % 8.08/1.45 % 8.08/1.45 cnf(c42, axiom, % 8.08/1.45 ~apart_point_and_line(X28,orthogonal_through_point(X29,X28))). % 8.08/1.45 cnf(a28, assumption, % 8.08/1.45 X3 = X28). % 8.08/1.45 cnf(a29, assumption, % 8.08/1.45 X0 = orthogonal_through_point(X29,X28)). % 8.08/1.45 cnf(c43, plain, % 8.08/1.45 apart_point_and_line(X3,X2), % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a28, a29])], [c9, c42])). % 8.08/1.45 cnf(c44, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a28, a29])], [c9, c42])). % 8.08/1.45 % 8.08/1.45 cnf(c45, axiom, % 8.08/1.45 ~apart_point_and_line(X30,parallel_through_point(X31,X30))). % 8.08/1.45 cnf(a30, assumption, % 8.08/1.45 X3 = X30). % 8.08/1.45 cnf(a31, assumption, % 8.08/1.45 X2 = parallel_through_point(X31,X30)). % 8.08/1.45 cnf(c46, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a30, a31])], [c43, c45])). % 8.08/1.45 cnf(c47, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(strict_predicate_extension, [assumptions([a30, a31])], [c43, c45])). % 8.08/1.45 % 8.08/1.45 cnf(c48, plain, % 8.08/1.45 $false, % 8.08/1.45 inference(constraint_solving, [ % 8.08/1.45 bind(X0, orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)), % 8.08/1.45 bind(X1, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X2, parallel_through_point(sK2,sK1)), % 8.08/1.45 bind(X3, sK1), % 8.08/1.45 bind(X4, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X5, sK1), % 8.08/1.45 bind(X6, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X7, sK2), % 8.08/1.45 bind(X8, parallel_through_point(sK2,sK1)), % 8.08/1.45 bind(X9, sK2), % 8.08/1.45 bind(X10, sK1), % 8.08/1.45 bind(X11, parallel_through_point(sK2,sK1)), % 8.08/1.45 bind(X12, sK2), % 8.08/1.45 bind(X13, sK2), % 8.08/1.45 bind(X14, sK1), % 8.08/1.45 bind(X15, parallel_through_point(sK2,sK1)), % 8.08/1.45 bind(X16, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X17, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X18, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X19, sK2), % 8.08/1.45 bind(X20, parallel_through_point(sK2,sK1)), % 8.08/1.45 bind(X21, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X22, parallel_through_point(sK2,sK1)), % 8.08/1.45 bind(X23, sK2), % 8.08/1.45 bind(X24, sK2), % 8.08/1.45 bind(X25, sK2), % 8.08/1.45 bind(X26, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X27, sK2), % 8.08/1.45 bind(X28, sK1), % 8.08/1.45 bind(X29, orthogonal_through_point(sK2,sK1)), % 8.08/1.45 bind(X30, sK1), % 8.08/1.45 bind(X31, sK2) % 8.08/1.45 ], % 8.08/1.45 [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])). % 8.08/1.45 % 8.08/1.45 % SZS output end IncompleteProof %------------------------------------------------------------------------------