%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO174+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 : n012.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 06:30:37 EDT 2022 % Result : Theorem 0.13s 0.40s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : GEO174+1 : TPTP v8.1.0. Released v3.3.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n012.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 : Fri Jun 17 20:40:08 EDT 2022 % 0.13/0.33 % CPUTime : % 0.13/0.40 % SZS status Theorem % 0.13/0.40 (* PROOF-FOUND *) % 0.13/0.40 (* BEGIN-PROOF *) % 0.13/0.40 % SZS output start Proof % 0.13/0.40 1. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom % 0.13/0.40 2. (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (distinct_lines T_1 (line_connecting T_0 T_2)) ### Axiom % 0.13/0.40 3. (distinct_points T_0 T_2) (-. (distinct_points T_0 T_2)) ### Axiom % 0.13/0.40 4. (apart_point_and_line T_0 (line_connecting T_0 T_2)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_2))) ### Axiom % 0.13/0.40 5. ((distinct_points T_0 T_2) => (-. (apart_point_and_line T_0 (line_connecting T_0 T_2)))) (apart_point_and_line T_0 (line_connecting T_0 T_2)) (distinct_points T_0 T_2) ### Imply 3 4 % 0.13/0.40 6. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_2) (apart_point_and_line T_0 (line_connecting T_0 T_2)) ### All 5 % 0.13/0.40 7. (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_2)) (distinct_points T_0 T_2) ### All 6 % 0.13/0.40 8. ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 (line_connecting T_0 T_2)) \/ (apart_point_and_line T_0 (line_connecting T_0 T_2)))) (distinct_points T_0 T_2) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_0 T_1) ### DisjTree 1 2 7 % 0.13/0.40 9. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_1) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_2) ### All 8 % 0.13/0.40 10. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) (distinct_points T_0 T_2) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_0 T_1) ### All 9 % 0.13/0.40 11. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (apart_point_and_line T_0 T_1) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_2) ### All 10 % 0.13/0.40 12. (apart_point_and_line T_2 T_1) (-. (apart_point_and_line T_2 T_1)) ### Axiom % 0.13/0.40 13. (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (distinct_lines T_1 (line_connecting T_0 T_2)) ### Axiom % 0.13/0.40 14. (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (apart_point_and_line T_2 (line_connecting T_0 T_2)) ### Axiom % 0.13/0.40 15. ((apart_point_and_line T_2 T_1) => ((distinct_lines T_1 (line_connecting T_0 T_2)) \/ (apart_point_and_line T_2 (line_connecting T_0 T_2)))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_2 T_1) ### DisjTree 12 13 14 % 0.13/0.40 16. (All Z, ((apart_point_and_line T_2 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_2 Z)))) (apart_point_and_line T_2 T_1) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) ### All 15 % 0.13/0.40 17. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_2 Z))))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (apart_point_and_line T_2 T_1) ### All 16 % 0.13/0.40 18. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (apart_point_and_line T_2 T_1) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) ### All 17 % 0.13/0.40 19. ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_2 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_2))) (distinct_points T_0 T_2) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### Or 11 18 % 0.13/0.40 20. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (-. (distinct_lines T_1 (line_connecting T_0 T_2))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_2) ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_2 T_1)) ### Extension/test/ci2 19 % 0.13/0.40 21. (-. (((distinct_points T_0 T_2) /\ ((convergent_lines T_1 T_3) /\ ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_2 T_1)))) => (distinct_lines T_1 (line_connecting T_0 T_2)))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### ConjTree 20 % 0.13/0.40 22. (-. (All V, (((distinct_points T_0 T_2) /\ ((convergent_lines T_1 V) /\ ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_2 T_1)))) => (distinct_lines T_1 (line_connecting T_0 T_2))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 21 % 0.13/0.40 23. (-. (All U, (All V, (((distinct_points T_0 T_2) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_2 U)))) => (distinct_lines U (line_connecting T_0 T_2)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 22 % 0.13/0.40 24. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line Y U)))) => (distinct_lines U (line_connecting T_0 Y))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 23 % 0.13/0.40 25. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line X U) \/ (apart_point_and_line Y U)))) => (distinct_lines U (line_connecting X Y)))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 24 % 0.13/0.40 % SZS output end Proof % 0.13/0.40 (* END-PROOF *) %------------------------------------------------------------------------------