%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO178+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 : n027.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 06:30:41 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 % 0.11/0.12 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n027.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 : Sat Jun 18 10:43:22 EDT 2022 % 0.12/0.34 % 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_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.20/0.42 2. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom % 0.20/0.42 3. (-. (distinct_points T_2 T_0)) (distinct_points T_2 T_0) ### Axiom % 0.20/0.42 4. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1)) (-. (distinct_points T_2 T_0)) ### And 3 % 0.20/0.42 5. ((distinct_points T_0 T_1) => ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1)))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### DisjTree 1 2 4 % 0.20/0.42 6. (All Z, ((distinct_points T_0 T_1) => ((apart_point_and_line Z (line_connecting T_0 T_1)) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (distinct_points T_0 T_1) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) ### All 5 % 0.20/0.42 7. (All Y, (All Z, ((distinct_points T_0 Y) => ((apart_point_and_line Z (line_connecting T_0 Y)) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 6 % 0.20/0.42 8. (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) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) ### All 7 % 0.20/0.42 9. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.20/0.42 10. (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (apart_point_and_line T_2 (line_connecting T_0 T_1))) ### Axiom % 0.20/0.42 11. (-. (distinct_points T_2 T_1)) (distinct_points T_2 T_1) ### Axiom % 0.20/0.42 12. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1)) (-. (distinct_points T_2 T_1)) ### And 11 % 0.20/0.42 13. ((distinct_points T_0 T_1) => ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1)))) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### DisjTree 9 10 12 % 0.20/0.42 14. (All Z, ((distinct_points T_0 T_1) => ((apart_point_and_line Z (line_connecting T_0 T_1)) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (distinct_points T_0 T_1) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) ### All 13 % 0.20/0.42 15. (All Y, (All Z, ((distinct_points T_0 Y) => ((apart_point_and_line Z (line_connecting T_0 Y)) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### All 14 % 0.20/0.42 16. (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) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) ### All 15 % 0.20/0.42 17. (-. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) (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))))))) ### NotAnd 8 16 % 0.20/0.42 18. (-. (((distinct_points T_0 T_1) /\ (apart_point_and_line T_2 (line_connecting T_0 T_1))) => ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1)))) (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 17 % 0.20/0.42 19. (-. (All Z, (((distinct_points T_0 T_1) /\ (apart_point_and_line Z (line_connecting T_0 T_1))) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (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 18 % 0.20/0.42 20. (-. (All Y, (All Z, (((distinct_points T_0 Y) /\ (apart_point_and_line Z (line_connecting T_0 Y))) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (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 19 % 0.20/0.42 21. (-. (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) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 20 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------