%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GEO223+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 : n021.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 7.90s 1.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n021.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 18:28:17 EDT 2022 % 0.12/0.34 % CPUTime : % 7.90/1.38 % SZS status Theorem % 7.90/1.38 % SZS output begin IncompleteProof % 7.90/1.38 cnf(c0, axiom, % 7.90/1.38 ~equal_lines(parallel_through_point(sK3,sK2),orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2))). % 7.90/1.38 cnf(c1, plain, % 7.90/1.38 ~equal_lines(parallel_through_point(sK3,sK2),orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 inference(start, [], [c0])). % 7.90/1.38 % 7.90/1.38 cnf(c2, axiom, % 7.90/1.38 equal_lines(X0,X1) | distinct_lines(X0,X1)). % 7.90/1.38 cnf(a0, assumption, % 7.90/1.38 parallel_through_point(sK3,sK2) = X0). % 7.90/1.38 cnf(a1, assumption, % 7.90/1.38 orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2) = X1). % 7.90/1.38 cnf(c3, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 7.90/1.38 cnf(c4, plain, % 7.90/1.38 distinct_lines(X0,X1), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 7.90/1.38 % 7.90/1.38 cnf(c5, axiom, % 7.90/1.38 convergent_lines(X2,X3) | ~distinct_lines(X2,X3)). % 7.90/1.38 cnf(a2, assumption, % 7.90/1.38 X0 = X2). % 7.90/1.38 cnf(a3, assumption, % 7.90/1.38 X1 = X3). % 7.90/1.38 cnf(c6, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 7.90/1.38 cnf(c7, plain, % 7.90/1.38 convergent_lines(X2,X3), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 7.90/1.38 % 7.90/1.38 cnf(c8, axiom, % 7.90/1.38 convergent_lines(X4,X5) | convergent_lines(X6,X5) | ~convergent_lines(X6,X4)). % 7.90/1.38 cnf(a4, assumption, % 7.90/1.38 X2 = X6). % 7.90/1.38 cnf(a5, assumption, % 7.90/1.38 X3 = X4). % 7.90/1.38 cnf(c9, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 7.90/1.38 cnf(c10, plain, % 7.90/1.38 convergent_lines(X4,X5) | convergent_lines(X6,X5), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 7.90/1.38 % 7.90/1.38 cnf(c11, axiom, % 7.90/1.38 ~convergent_lines(X7,X8) | unorthogonal_lines(X9,X8) | unorthogonal_lines(X9,X7)). % 7.90/1.38 cnf(a6, assumption, % 7.90/1.38 X4 = X7). % 7.90/1.38 cnf(a7, assumption, % 7.90/1.38 X5 = X8). % 7.90/1.38 cnf(c12, plain, % 7.90/1.38 convergent_lines(X6,X5), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 7.90/1.38 cnf(c13, plain, % 7.90/1.38 unorthogonal_lines(X9,X8) | unorthogonal_lines(X9,X7), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 7.90/1.38 % 7.90/1.38 cnf(c14, axiom, % 7.90/1.38 ~unorthogonal_lines(orthogonal_through_point(X10,X11),X10)). % 7.90/1.38 cnf(a8, assumption, % 7.90/1.38 X9 = orthogonal_through_point(X10,X11)). % 7.90/1.38 cnf(a9, assumption, % 7.90/1.38 X8 = X10). % 7.90/1.38 cnf(c15, plain, % 7.90/1.38 unorthogonal_lines(X9,X7), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 7.90/1.38 cnf(c16, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 7.90/1.38 % 7.90/1.38 cnf(c17, axiom, % 7.90/1.38 unorthogonal_lines(X12,X13) | sP0(X13,X14) | ~unorthogonal_lines(X14,X12) | ~convergent_lines(X14,X12)). % 7.90/1.38 cnf(a10, assumption, % 7.90/1.38 X9 = X14). % 7.90/1.38 cnf(a11, assumption, % 7.90/1.38 X7 = X12). % 7.90/1.38 cnf(c18, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])). % 7.90/1.38 cnf(c19, plain, % 7.90/1.38 unorthogonal_lines(X12,X13) | sP0(X13,X14) | ~convergent_lines(X14,X12), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])). % 7.90/1.38 % 7.90/1.38 cnf(c20, axiom, % 7.90/1.38 ~unorthogonal_lines(orthogonal_through_point(X15,X16),X15)). % 7.90/1.38 cnf(a12, assumption, % 7.90/1.38 X12 = orthogonal_through_point(X15,X16)). % 7.90/1.38 cnf(a13, assumption, % 7.90/1.38 X13 = X15). % 7.90/1.38 cnf(c21, plain, % 7.90/1.38 sP0(X13,X14) | ~convergent_lines(X14,X12), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 7.90/1.38 cnf(c22, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 7.90/1.38 % 7.90/1.38 cnf(c23, axiom, % 7.90/1.38 convergent_lines(X17,X18) | ~sP0(X18,X17)). % 7.90/1.38 cnf(a14, assumption, % 7.90/1.38 X13 = X18). % 7.90/1.38 cnf(a15, assumption, % 7.90/1.38 X14 = X17). % 7.90/1.38 cnf(c24, plain, % 7.90/1.38 ~convergent_lines(X14,X12), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])). % 7.90/1.38 cnf(c25, plain, % 7.90/1.38 convergent_lines(X17,X18), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])). % 7.90/1.38 % 7.90/1.38 cnf(c26, axiom, % 7.90/1.38 ~convergent_lines(X19,X19)). % 7.90/1.38 cnf(a16, assumption, % 7.90/1.38 X17 = X19). % 7.90/1.38 cnf(a17, assumption, % 7.90/1.38 X18 = X19). % 7.90/1.38 cnf(c27, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 7.90/1.38 cnf(c28, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 7.90/1.38 % 7.90/1.38 cnf(c29, axiom, % 7.90/1.38 convergent_lines(X20,X21) | convergent_lines(X22,X21) | ~convergent_lines(X22,X20)). % 7.90/1.38 cnf(a18, assumption, % 7.90/1.38 X14 = X20). % 7.90/1.38 cnf(a19, assumption, % 7.90/1.38 X12 = X21). % 7.90/1.38 cnf(c30, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c29])). % 7.90/1.38 cnf(c31, plain, % 7.90/1.38 convergent_lines(X22,X21) | ~convergent_lines(X22,X20), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c29])). % 7.90/1.38 % 7.90/1.38 cnf(c32, axiom, % 7.90/1.38 ~convergent_lines(X23,X23)). % 7.90/1.38 cnf(a20, assumption, % 7.90/1.38 X22 = X23). % 7.90/1.38 cnf(a21, assumption, % 7.90/1.38 X21 = X23). % 7.90/1.38 cnf(c33, plain, % 7.90/1.38 ~convergent_lines(X22,X20), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a20, a21])], [c31, c32])). % 7.90/1.38 cnf(c34, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a20, a21])], [c31, c32])). % 7.90/1.38 % 7.90/1.38 cnf(c35, axiom, % 7.90/1.38 unorthogonal_lines(X24,X25) | convergent_lines(X24,X25)). % 7.90/1.38 cnf(a22, assumption, % 7.90/1.38 X22 = X24). % 7.90/1.38 cnf(a23, assumption, % 7.90/1.38 X20 = X25). % 7.90/1.38 cnf(c36, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c35])). % 7.90/1.38 cnf(c37, plain, % 7.90/1.38 unorthogonal_lines(X24,X25), % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c35])). % 7.90/1.38 % 7.90/1.38 cnf(c38, plain, % 7.90/1.38 ~unorthogonal_lines(X12,X13)). % 7.90/1.38 cnf(a24, assumption, % 7.90/1.38 X24 = X12). % 7.90/1.38 cnf(a25, assumption, % 7.90/1.38 X25 = X13). % 7.90/1.38 cnf(c39, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(predicate_reduction, [assumptions([a24, a25])], [c37, c38])). % 7.90/1.38 % 7.90/1.38 cnf(c40, axiom, % 7.90/1.38 ~convergent_lines(parallel_through_point(X26,X27),X26)). % 7.90/1.38 cnf(a26, assumption, % 7.90/1.38 X6 = parallel_through_point(X26,X27)). % 7.90/1.38 cnf(a27, assumption, % 7.90/1.38 X5 = X26). % 7.90/1.38 cnf(c41, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a26, a27])], [c12, c40])). % 7.90/1.38 cnf(c42, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(strict_predicate_extension, [assumptions([a26, a27])], [c12, c40])). % 7.90/1.38 % 7.90/1.38 cnf(c43, plain, % 7.90/1.38 $false, % 7.90/1.38 inference(constraint_solving, [ % 7.90/1.38 bind(X0, parallel_through_point(sK3,sK2)), % 7.90/1.38 bind(X1, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X2, parallel_through_point(sK3,sK2)), % 7.90/1.38 bind(X3, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X4, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X5, sK3), % 7.90/1.38 bind(X6, parallel_through_point(sK3,sK2)), % 7.90/1.38 bind(X7, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X8, sK3), % 7.90/1.38 bind(X9, orthogonal_through_point(X10,X11)), % 7.90/1.38 bind(X10, sK3), % 7.90/1.38 bind(X11, sK2), % 7.90/1.38 bind(X12, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X13, orthogonal_through_point(sK3,sK2)), % 7.90/1.38 bind(X14, orthogonal_through_point(X10,X11)), % 7.90/1.38 bind(X15, orthogonal_through_point(sK3,sK2)), % 7.90/1.38 bind(X16, sK2), % 7.90/1.38 bind(X17, orthogonal_through_point(X10,X11)), % 7.90/1.38 bind(X18, orthogonal_through_point(sK3,sK2)), % 7.90/1.38 bind(X19, orthogonal_through_point(X10,X11)), % 7.90/1.38 bind(X20, orthogonal_through_point(X10,X11)), % 7.90/1.38 bind(X21, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X22, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X23, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X24, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)), % 7.90/1.38 bind(X25, orthogonal_through_point(X10,X11)), % 7.90/1.38 bind(X26, sK3), % 7.90/1.38 bind(X27, sK2) % 7.90/1.38 ], % 7.90/1.38 [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])). % 7.90/1.38 % 7.90/1.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------