%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO225+2 : 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 : n006.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 06:31:20 EDT 2022 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n006.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 : Fri Jun 17 21:06:55 EDT 2022 % 0.12/0.34 % CPUTime : % 0.18/0.50 % SZS status Theorem % 0.18/0.50 (* PROOF-FOUND *) % 0.18/0.50 (* BEGIN-PROOF *) % 0.18/0.50 % SZS output start Proof % 0.18/0.50 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.18/0.50 2. (distinct_points T_0 T_0) ### Extension/test/apart1 % 0.18/0.50 3. (distinct_points T_1 T_0) (-. (distinct_points T_1 T_0)) ### Axiom % 0.18/0.50 4. (distinct_points T_1 T_0) (-. (distinct_points T_1 T_0)) ### Axiom % 0.18/0.50 5. (apart_point_and_line T_0 (line_connecting T_1 T_0)) (-. (apart_point_and_line T_0 (line_connecting T_1 T_0))) ### Axiom % 0.18/0.50 6. ((distinct_points T_0 T_1) /\ (distinct_points T_0 T_0)) ### And 2 % 0.18/0.50 7. ((distinct_points T_1 T_0) => ((apart_point_and_line T_0 (line_connecting T_1 T_0)) => ((distinct_points T_0 T_1) /\ (distinct_points T_0 T_0)))) (apart_point_and_line T_0 (line_connecting T_1 T_0)) (distinct_points T_1 T_0) ### DisjTree 4 5 6 % 0.18/0.50 8. (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) (distinct_points T_1 T_0) (apart_point_and_line T_0 (line_connecting T_1 T_0)) ### All 7 % 0.18/0.50 9. (-. (-. (apart_point_and_line T_0 (line_connecting T_1 T_0)))) (distinct_points T_1 T_0) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) ### NotNot 8 % 0.18/0.50 10. (-. (apart_point_and_line T_1 (line_connecting T_1 T_0))) (apart_point_and_line T_1 (line_connecting T_1 T_0)) ### Axiom % 0.18/0.50 11. (-. (-. (apart_point_and_line T_1 (line_connecting T_1 T_0)))) (-. (apart_point_and_line T_1 (line_connecting T_1 T_0))) ### NotNot 10 % 0.18/0.50 12. (-. ((-. (apart_point_and_line T_0 (line_connecting T_1 T_0))) /\ (-. (apart_point_and_line T_1 (line_connecting T_1 T_0))))) (-. (apart_point_and_line T_1 (line_connecting T_1 T_0))) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) (distinct_points T_1 T_0) ### NotAnd 9 11 % 0.18/0.50 13. (-. ((line (line_connecting T_1 T_0)) => ((-. (apart_point_and_line T_0 (line_connecting T_1 T_0))) /\ (-. (apart_point_and_line T_1 (line_connecting T_1 T_0)))))) (distinct_points T_1 T_0) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) (-. (apart_point_and_line T_1 (line_connecting T_1 T_0))) ### NotImply 12 % 0.18/0.50 14. (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (-. (apart_point_and_line T_1 (line_connecting T_1 T_0))) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) (distinct_points T_1 T_0) ### NotExists 13 % 0.18/0.50 15. (distinct_points T_1 T_1) ### Extension/test/apart1 % 0.18/0.50 16. ((distinct_points T_1 T_1) /\ (distinct_points T_1 T_0)) ### And 15 % 0.18/0.50 17. ((distinct_points T_1 T_0) => ((apart_point_and_line T_1 (line_connecting T_1 T_0)) => ((distinct_points T_1 T_1) /\ (distinct_points T_1 T_0)))) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (distinct_points T_1 T_0) ### DisjTree 3 14 16 % 0.18/0.50 18. (distinct_points T_1 T_0) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) ### All 17 % 0.18/0.50 19. ((distinct_points T_0 T_1) => ((distinct_points T_0 T_0) \/ (distinct_points T_1 T_0))) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (distinct_points T_0 T_1) ### DisjTree 1 2 18 % 0.18/0.50 20. (All Z, ((distinct_points T_0 T_1) => ((distinct_points T_0 Z) \/ (distinct_points T_1 Z)))) (distinct_points T_0 T_1) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (All Z, ((distinct_points T_1 T_0) => ((apart_point_and_line Z (line_connecting T_1 T_0)) => ((distinct_points Z T_1) /\ (distinct_points Z T_0))))) ### All 19 % 0.18/0.50 21. (All Y, (All Z, ((distinct_points T_1 Y) => ((apart_point_and_line Z (line_connecting T_1 Y)) => ((distinct_points Z T_1) /\ (distinct_points Z Y)))))) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (distinct_points T_0 T_1) (All Z, ((distinct_points T_0 T_1) => ((distinct_points T_0 Z) \/ (distinct_points T_1 Z)))) ### All 20 % 0.18/0.50 22. (All Y, (All Z, ((distinct_points T_0 Y) => ((distinct_points T_0 Z) \/ (distinct_points Y Z))))) (distinct_points T_0 T_1) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (All Y, (All Z, ((distinct_points T_1 Y) => ((apart_point_and_line Z (line_connecting T_1 Y)) => ((distinct_points Z T_1) /\ (distinct_points Z Y)))))) ### All 21 % 0.18/0.50 23. (All X, (All Y, (All Z, ((distinct_points X Y) => ((distinct_points X Z) \/ (distinct_points Y Z)))))) (All Y, (All Z, ((distinct_points T_1 Y) => ((apart_point_and_line Z (line_connecting T_1 Y)) => ((distinct_points Z T_1) /\ (distinct_points Z Y)))))) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (distinct_points T_0 T_1) ### All 22 % 0.18/0.50 24. (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((distinct_points X Z) \/ (distinct_points Y Z)))))) ### All 23 % 0.18/0.50 25. (-. (((point T_0) /\ ((point T_1) /\ (distinct_points T_0 T_1))) => (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X))))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((distinct_points X Z) \/ (distinct_points Y Z)))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### ConjTree 24 % 0.18/0.50 26. (-. (All B, (((point T_0) /\ ((point B) /\ (distinct_points T_0 B))) => (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line B X)))))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((distinct_points X Z) \/ (distinct_points Y Z)))))) ### NotAllEx 25 % 0.18/0.50 27. (-. (All A, (All B, (((point A) /\ ((point B) /\ (distinct_points A B))) => (Ex X, ((line X) => ((-. (apart_point_and_line A X)) /\ (-. (apart_point_and_line B X))))))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((distinct_points X Z) \/ (distinct_points Y Z)))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 26 % 0.18/0.50 % SZS output end Proof % 0.18/0.50 (* END-PROOF *) %------------------------------------------------------------------------------