%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO208+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 : n007.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 0.20s 0.42s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO208+2 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n007.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sat Jun 18 05:01:13 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.42 % SZS status Theorem % 0.20/0.42 (* PROOF-FOUND *) % 0.20/0.42 (* BEGIN-PROOF *) % 0.20/0.42 % SZS output start Proof % 0.20/0.42 1. (distinct_lines T_0 T_1) (-. (distinct_lines T_0 T_1)) ### Axiom % 0.20/0.42 2. (-. (apart_point_and_line T_2 T_0)) (apart_point_and_line T_2 T_0) ### Axiom % 0.20/0.42 3. (-. (apart_point_and_line T_2 T_1)) (apart_point_and_line T_2 T_1) ### Axiom % 0.20/0.42 4. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom % 0.20/0.42 5. ((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_0 T_1)) (-. (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 4 % 0.20/0.42 6. (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)) (-. (convergent_lines T_0 T_1)) ### All 5 % 0.20/0.42 7. (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_0 T_1)) (-. (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 T_1) ### All 6 % 0.20/0.42 8. (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)) (-. (convergent_lines T_0 T_1)) ### All 7 % 0.20/0.42 9. (-. (((-. (apart_point_and_line T_2 T_0)) /\ ((-. (apart_point_and_line T_2 T_1)) /\ (-. (convergent_lines T_0 T_1)))) => (-. (distinct_lines T_0 T_1)))) (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 8 % 0.20/0.42 10. (-. (All 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 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 9 % 0.20/0.42 11. (-. (All Y, (All Z, (((-. (apart_point_and_line T_2 Y)) /\ ((-. (apart_point_and_line T_2 Z)) /\ (-. (convergent_lines Y Z)))) => (-. (distinct_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 10 % 0.20/0.42 12. (-. (All X, (All Y, (All Z, (((-. (apart_point_and_line X Y)) /\ ((-. (apart_point_and_line X Z)) /\ (-. (convergent_lines Y Z)))) => (-. (distinct_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 11 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------