%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n026.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 06:31:08 EDT 2022 % Result : Theorem 0.18s 0.40s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n026.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sat Jun 18 15:48:24 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.40 % SZS status Theorem % 0.18/0.40 (* PROOF-FOUND *) % 0.18/0.40 (* BEGIN-PROOF *) % 0.18/0.40 % SZS output start Proof % 0.18/0.40 1. (distinct_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom % 0.18/0.40 2. (-. (convergent_lines T_0 T_1)) (distinct_lines T_0 T_1) ### Extension/test/p1ctrp 1 % 0.18/0.40 3. (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_2) ### Axiom % 0.18/0.40 4. (-. (convergent_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Axiom % 0.18/0.40 5. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_2) \/ (convergent_lines T_1 T_2))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (distinct_lines T_0 T_1) ### DisjTree 2 3 4 % 0.18/0.40 6. (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (distinct_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (convergent_lines T_1 T_2)) ### All 5 % 0.18/0.40 7. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (distinct_lines T_0 T_1) ### All 6 % 0.18/0.40 8. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (distinct_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (convergent_lines T_1 T_2)) ### All 7 % 0.18/0.40 9. (-. (equal_lines T_0 T_1)) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### Extension/test/not_ax2 8 % 0.18/0.40 10. (parallel_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_2)) (-. (equal_lines T_0 T_1)) ### Extension/test/a3 9 % 0.18/0.40 11. (parallel_lines T_0 T_2) (-. (equal_lines T_0 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (parallel_lines T_1 T_2) ### Extension/test/a3 10 % 0.18/0.40 12. (-. (((apart_point_and_line T_3 T_2) /\ ((incident_point_and_line T_3 T_0) /\ ((incident_point_and_line T_3 T_1) /\ ((parallel_lines T_0 T_2) /\ (parallel_lines T_1 T_2))))) => (equal_lines T_0 T_1))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### ConjTree 11 % 0.18/0.40 13. (-. (All N, (((apart_point_and_line T_3 T_2) /\ ((incident_point_and_line T_3 T_0) /\ ((incident_point_and_line T_3 N) /\ ((parallel_lines T_0 T_2) /\ (parallel_lines N T_2))))) => (equal_lines T_0 N)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 12 % 0.18/0.40 14. (-. (All M, (All N, (((apart_point_and_line T_3 T_2) /\ ((incident_point_and_line T_3 M) /\ ((incident_point_and_line T_3 N) /\ ((parallel_lines M T_2) /\ (parallel_lines N T_2))))) => (equal_lines M N))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 13 % 0.18/0.40 15. (-. (All L, (All M, (All N, (((apart_point_and_line T_3 L) /\ ((incident_point_and_line T_3 M) /\ ((incident_point_and_line T_3 N) /\ ((parallel_lines M L) /\ (parallel_lines N L))))) => (equal_lines M N)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 14 % 0.18/0.40 16. (-. (All A, (All L, (All M, (All N, (((apart_point_and_line A L) /\ ((incident_point_and_line A M) /\ ((incident_point_and_line A N) /\ ((parallel_lines M L) /\ (parallel_lines N L))))) => (equal_lines M N))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 15 % 0.18/0.40 % SZS output end Proof % 0.18/0.40 (* END-PROOF *) %------------------------------------------------------------------------------