%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GEO222+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 : n028.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 0.19s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 18 11:03:29 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 % SZS output begin IncompleteProof % 0.19/0.40 cnf(c0, axiom, % 0.19/0.40 ~parallel_lines(sK3,orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2))). % 0.19/0.40 cnf(c1, plain, % 0.19/0.40 ~parallel_lines(sK3,orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 inference(start, [], [c0])). % 0.19/0.40 % 0.19/0.40 cnf(c2, axiom, % 0.19/0.40 parallel_lines(X0,X1) | convergent_lines(X0,X1)). % 0.19/0.40 cnf(a0, assumption, % 0.19/0.40 sK3 = X0). % 0.19/0.40 cnf(a1, assumption, % 0.19/0.40 orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2) = X1). % 0.19/0.40 cnf(c3, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.19/0.40 cnf(c4, plain, % 0.19/0.40 convergent_lines(X0,X1), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.19/0.40 % 0.19/0.40 cnf(c5, axiom, % 0.19/0.40 ~convergent_lines(X2,X3) | unorthogonal_lines(X4,X3) | unorthogonal_lines(X4,X2)). % 0.19/0.40 cnf(a2, assumption, % 0.19/0.40 X0 = X2). % 0.19/0.40 cnf(a3, assumption, % 0.19/0.40 X1 = X3). % 0.19/0.40 cnf(c6, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.19/0.40 cnf(c7, plain, % 0.19/0.40 unorthogonal_lines(X4,X3) | unorthogonal_lines(X4,X2), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.19/0.40 % 0.19/0.40 cnf(c8, axiom, % 0.19/0.40 ~unorthogonal_lines(X5,X6) | ~convergent_lines(X5,X6) | convergent_lines(X7,X6) | sP1(X5,X7)). % 0.19/0.40 cnf(a4, assumption, % 0.19/0.40 X4 = X5). % 0.19/0.40 cnf(a5, assumption, % 0.19/0.40 X3 = X6). % 0.19/0.40 cnf(c9, plain, % 0.19/0.40 unorthogonal_lines(X4,X2), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.19/0.40 cnf(c10, plain, % 0.19/0.40 ~convergent_lines(X5,X6) | convergent_lines(X7,X6) | sP1(X5,X7), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.19/0.40 % 0.19/0.40 cnf(c11, axiom, % 0.19/0.40 convergent_lines(X8,X9) | convergent_lines(X10,X9) | ~convergent_lines(X10,X8)). % 0.19/0.40 cnf(a6, assumption, % 0.19/0.40 X5 = X8). % 0.19/0.40 cnf(a7, assumption, % 0.19/0.40 X6 = X9). % 0.19/0.40 cnf(c12, plain, % 0.19/0.40 convergent_lines(X7,X6) | sP1(X5,X7), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 0.19/0.40 cnf(c13, plain, % 0.19/0.40 convergent_lines(X10,X9) | ~convergent_lines(X10,X8), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 0.19/0.40 % 0.19/0.40 cnf(c14, axiom, % 0.19/0.40 ~convergent_lines(X11,X11)). % 0.19/0.40 cnf(a8, assumption, % 0.19/0.40 X10 = X11). % 0.19/0.40 cnf(a9, assumption, % 0.19/0.40 X9 = X11). % 0.19/0.40 cnf(c15, plain, % 0.19/0.40 ~convergent_lines(X10,X8), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 0.19/0.40 cnf(c16, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 0.19/0.40 % 0.19/0.40 cnf(c17, axiom, % 0.19/0.40 unorthogonal_lines(X12,X13) | convergent_lines(X12,X13)). % 0.19/0.40 cnf(a10, assumption, % 0.19/0.40 X10 = X12). % 0.19/0.40 cnf(a11, assumption, % 0.19/0.40 X8 = X13). % 0.19/0.40 cnf(c18, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])). % 0.19/0.40 cnf(c19, plain, % 0.19/0.40 unorthogonal_lines(X12,X13), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])). % 0.19/0.40 % 0.19/0.40 cnf(c20, axiom, % 0.19/0.40 ~unorthogonal_lines(orthogonal_through_point(X14,X15),X14)). % 0.19/0.40 cnf(a12, assumption, % 0.19/0.40 X12 = orthogonal_through_point(X14,X15)). % 0.19/0.40 cnf(a13, assumption, % 0.19/0.40 X13 = X14). % 0.19/0.40 cnf(c21, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 0.19/0.40 cnf(c22, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 0.19/0.40 % 0.19/0.40 cnf(c23, plain, % 0.19/0.40 ~convergent_lines(X10,X9)). % 0.19/0.40 cnf(a14, assumption, % 0.19/0.40 X7 = X10). % 0.19/0.40 cnf(a15, assumption, % 0.19/0.40 X6 = X9). % 0.19/0.40 cnf(c24, plain, % 0.19/0.40 sP1(X5,X7), % 0.19/0.40 inference(predicate_reduction, [assumptions([a14, a15])], [c12, c23])). % 0.19/0.40 % 0.19/0.40 cnf(c25, axiom, % 0.19/0.40 unorthogonal_lines(X16,X17) | ~sP1(X17,X16)). % 0.19/0.40 cnf(a16, assumption, % 0.19/0.40 X5 = X17). % 0.19/0.40 cnf(a17, assumption, % 0.19/0.40 X7 = X16). % 0.19/0.40 cnf(c26, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])). % 0.19/0.40 cnf(c27, plain, % 0.19/0.40 unorthogonal_lines(X16,X17), % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])). % 0.19/0.40 % 0.19/0.40 cnf(c28, plain, % 0.19/0.40 ~unorthogonal_lines(X12,X13)). % 0.19/0.40 cnf(a18, assumption, % 0.19/0.40 X16 = X12). % 0.19/0.40 cnf(a19, assumption, % 0.19/0.40 X17 = X13). % 0.19/0.40 cnf(c29, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(predicate_reduction, [assumptions([a18, a19])], [c27, c28])). % 0.19/0.40 % 0.19/0.40 cnf(c30, axiom, % 0.19/0.40 ~unorthogonal_lines(orthogonal_through_point(X18,X19),X18)). % 0.19/0.40 cnf(a20, assumption, % 0.19/0.40 X4 = orthogonal_through_point(X18,X19)). % 0.19/0.40 cnf(a21, assumption, % 0.19/0.40 X2 = X18). % 0.19/0.40 cnf(c31, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c30])). % 0.19/0.40 cnf(c32, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c30])). % 0.19/0.40 % 0.19/0.40 cnf(c33, plain, % 0.19/0.40 $false, % 0.19/0.40 inference(constraint_solving, [ % 0.19/0.40 bind(X0, sK3), % 0.19/0.40 bind(X1, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X2, sK3), % 0.19/0.40 bind(X3, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X4, orthogonal_through_point(sK3,sK2)), % 0.19/0.40 bind(X5, orthogonal_through_point(sK3,sK2)), % 0.19/0.40 bind(X6, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X7, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X8, orthogonal_through_point(sK3,sK2)), % 0.19/0.40 bind(X9, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X10, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X11, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X12, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X13, orthogonal_through_point(sK3,sK2)), % 0.19/0.40 bind(X14, orthogonal_through_point(sK3,sK2)), % 0.19/0.40 bind(X15, sK2), % 0.19/0.40 bind(X16, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 0.19/0.40 bind(X17, orthogonal_through_point(sK3,sK2)), % 0.19/0.40 bind(X18, sK3), % 0.19/0.40 bind(X19, sK2) % 0.19/0.40 ], % 0.19/0.40 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])). % 0.19/0.40 % 0.19/0.40 % SZS output end IncompleteProof %------------------------------------------------------------------------------