%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n032.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 06:30:36 EDT 2022 % Result : Theorem 0.14s 0.35s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.09 % Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0. % 0.09/0.10 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.10/0.28 % Computer : n032.cluster.edu % 0.10/0.28 % Model : x86_64 x86_64 % 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.28 % Memory : 8042.1875MB % 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.28 % CPULimit : 300 % 0.10/0.28 % WCLimit : 600 % 0.10/0.28 % DateTime : Sat Jun 18 01:47:01 EDT 2022 % 0.10/0.28 % CPUTime : % 0.14/0.35 % SZS status Theorem % 0.14/0.35 (* PROOF-FOUND *) % 0.14/0.35 (* BEGIN-PROOF *) % 0.14/0.35 % SZS output start Proof % 0.14/0.35 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.14/0.35 2. (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### Axiom % 0.14/0.35 3. (-. (apart_point_and_line T_0 T_2)) (apart_point_and_line T_0 T_2) ### Axiom % 0.14/0.35 4. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.14/0.35 5. (apart_point_and_line T_0 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### Axiom % 0.14/0.35 6. ((distinct_points T_0 T_1) => (-. (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (apart_point_and_line T_0 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### Imply 4 5 % 0.14/0.35 7. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_1) (apart_point_and_line T_0 (line_connecting T_0 T_1)) ### All 6 % 0.14/0.35 8. (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (apart_point_and_line T_0 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 7 % 0.14/0.35 9. (-. (apart_point_and_line T_1 T_2)) (apart_point_and_line T_1 T_2) ### Axiom % 0.14/0.35 10. (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (apart_point_and_line T_1 (line_connecting T_0 T_1)) ### Axiom % 0.14/0.35 11. (((distinct_points T_0 T_1) /\ (distinct_lines T_2 (line_connecting T_0 T_1))) => ((apart_point_and_line T_0 T_2) \/ ((apart_point_and_line T_0 (line_connecting T_0 T_1)) \/ ((apart_point_and_line T_1 T_2) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 T_2)) (distinct_lines T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### DisjTree 1 2 3 8 9 10 % 0.14/0.35 12. (All V, (((distinct_points T_0 T_1) /\ (distinct_lines T_2 V)) => ((apart_point_and_line T_0 T_2) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line T_1 T_2) \/ (apart_point_and_line T_1 V)))))) (distinct_points T_0 T_1) (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_1 T_2)) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### All 11 % 0.14/0.35 13. (All U, (All V, (((distinct_points T_0 T_1) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line T_1 U) \/ (apart_point_and_line T_1 V))))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 T_2)) (distinct_lines T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 12 % 0.14/0.35 14. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V)))))))) (distinct_points T_0 T_1) (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_1 T_2)) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### All 13 % 0.14/0.35 15. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_0 T_2)) (distinct_lines T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 14 % 0.14/0.35 16. (distinct_points T_0 T_1) (distinct_lines T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_1 T_2)) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### Extension/test/ci2 15 % 0.14/0.35 17. (-. (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 T_3) /\ (distinct_lines T_2 (line_connecting T_0 T_1)))) => ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2)))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### ConjTree 16 % 0.14/0.35 18. (-. (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 V) /\ (distinct_lines T_2 (line_connecting T_0 T_1)))) => ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 17 % 0.14/0.35 19. (-. (All U, (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines U V) /\ (distinct_lines U (line_connecting T_0 T_1)))) => ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_1 U)))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 18 % 0.14/0.35 20. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ (distinct_lines U (line_connecting T_0 Y)))) => ((apart_point_and_line T_0 U) \/ (apart_point_and_line Y U))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 19 % 0.14/0.35 21. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ (distinct_lines U (line_connecting X Y)))) => ((apart_point_and_line X U) \/ (apart_point_and_line Y U)))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 20 % 0.14/0.35 % SZS output end Proof % 0.14/0.35 (* END-PROOF *) %------------------------------------------------------------------------------