%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO209+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 : n023.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 06:31:07 EDT 2022 % Result : Theorem 32.54s 32.70s % Output : Proof 32.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : GEO209+2 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n023.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 17:54:19 EDT 2022 % 0.12/0.34 % CPUTime : % 32.54/32.70 % SZS status Theorem % 32.54/32.70 (* PROOF-FOUND *) % 32.54/32.70 (* BEGIN-PROOF *) % 32.54/32.70 % SZS output start Proof % 32.54/32.70 1. (distinct_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom % 32.54/32.70 2. (-. (apart_point_and_line T_2 T_0)) (apart_point_and_line T_2 T_0) ### Axiom % 32.54/32.70 3. (-. (apart_point_and_line T_2 T_1)) (apart_point_and_line T_2 T_1) ### Axiom % 32.54/32.70 4. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 32.54/32.70 5. (-. (convergent_lines T_0 T_3)) (convergent_lines T_0 T_3) ### Axiom % 32.54/32.70 6. (-. (convergent_lines T_1 T_3)) (convergent_lines T_1 T_3) ### Axiom % 32.54/32.70 7. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_3) \/ (convergent_lines T_1 T_3))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (convergent_lines T_0 T_1) ### DisjTree 4 5 6 % 32.54/32.70 8. (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_3)) (-. (convergent_lines T_1 T_3)) ### All 7 % 32.54/32.70 9. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (convergent_lines T_0 T_1) ### All 8 % 32.54/32.70 10. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_3)) (-. (convergent_lines T_1 T_3)) ### All 9 % 32.54/32.70 11. ((distinct_lines T_0 T_1) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 T_1) \/ (convergent_lines T_0 T_1)))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 T_1) ### DisjTree 1 2 3 10 % 32.54/32.70 12. (All Z, ((distinct_lines T_0 Z) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines T_0 Z))))) (distinct_lines T_0 T_1) (-. (apart_point_and_line T_2 T_0)) (-. (apart_point_and_line T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_3)) (-. (convergent_lines T_1 T_3)) ### All 11 % 32.54/32.70 13. (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line T_2 Y) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_1 T_3)) (-. (convergent_lines T_0 T_3)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 T_1) ### All 12 % 32.54/32.70 14. (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (distinct_lines T_0 T_1) (-. (apart_point_and_line T_2 T_0)) (-. (apart_point_and_line T_2 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_3)) (-. (convergent_lines T_1 T_3)) ### All 13 % 32.54/32.70 15. (-. (((apart_point_and_line T_2 T_3) /\ ((-. (apart_point_and_line T_2 T_0)) /\ ((-. (apart_point_and_line T_2 T_1)) /\ ((-. (convergent_lines T_0 T_3)) /\ (-. (convergent_lines T_1 T_3)))))) => (-. (distinct_lines T_0 T_1)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### ConjTree 14 % 32.54/32.70 16. (-. (All N, (((apart_point_and_line T_2 T_3) /\ ((-. (apart_point_and_line T_2 T_0)) /\ ((-. (apart_point_and_line T_2 N)) /\ ((-. (convergent_lines T_0 T_3)) /\ (-. (convergent_lines N T_3)))))) => (-. (distinct_lines T_0 N))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 15 % 32.54/32.70 17. (-. (All M, (All N, (((apart_point_and_line T_2 T_3) /\ ((-. (apart_point_and_line T_2 M)) /\ ((-. (apart_point_and_line T_2 N)) /\ ((-. (convergent_lines M T_3)) /\ (-. (convergent_lines N T_3)))))) => (-. (distinct_lines M N)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 16 % 32.54/32.70 18. (-. (All L, (All M, (All N, (((apart_point_and_line T_2 L) /\ ((-. (apart_point_and_line T_2 M)) /\ ((-. (apart_point_and_line T_2 N)) /\ ((-. (convergent_lines M L)) /\ (-. (convergent_lines N L)))))) => (-. (distinct_lines M N))))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 17 % 32.54/32.70 19. (-. (All A, (All L, (All M, (All N, (((apart_point_and_line A L) /\ ((-. (apart_point_and_line A M)) /\ ((-. (apart_point_and_line A N)) /\ ((-. (convergent_lines M L)) /\ (-. (convergent_lines N L)))))) => (-. (distinct_lines M N)))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 18 % 32.54/32.70 % SZS output end Proof % 32.54/32.70 (* END-PROOF *) %------------------------------------------------------------------------------