%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO178+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 : n016.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 0.19s 0.43s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO178+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Fri Jun 17 19:09:36 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.43 % SZS status Theorem % 0.19/0.43 (* PROOF-FOUND *) % 0.19/0.43 (* BEGIN-PROOF *) % 0.19/0.43 % SZS output start Proof % 0.19/0.43 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.19/0.43 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 % 0.19/0.43 3. (-. (distinct_points T_2 T_0)) (distinct_points T_2 T_0) ### Axiom % 0.19/0.43 4. (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (apart_point_and_line T_0 (line_connecting T_0 T_1)) ### Axiom % 0.19/0.43 5. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_0) \/ (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 2 3 4 % 0.19/0.43 6. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z (line_connecting T_0 T_1))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 5 % 0.19/0.43 7. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z Y))))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### All 6 % 0.19/0.43 8. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 7 % 0.19/0.43 9. ((distinct_points T_0 T_1) => (-. (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (distinct_points T_0 T_1) ### Imply 1 8 % 0.19/0.43 10. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_0)) ### All 9 % 0.19/0.43 11. (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (distinct_points T_2 T_0)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (distinct_points T_0 T_1) ### All 10 % 0.19/0.43 12. (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 % 0.19/0.43 13. (-. (distinct_points T_2 T_1)) (distinct_points T_2 T_1) ### Axiom % 0.19/0.43 14. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.19/0.43 15. (apart_point_and_line T_1 (line_connecting T_0 T_1)) (distinct_points T_0 T_1) ### Extension/test/ci2ctrp 14 % 0.19/0.43 16. ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 T_1) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))) (distinct_points T_0 T_1) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### DisjTree 12 13 15 % 0.19/0.43 17. (All Z, ((apart_point_and_line T_2 (line_connecting T_0 T_1)) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z (line_connecting T_0 T_1))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) (distinct_points T_0 T_1) ### All 16 % 0.19/0.43 18. (All Y, (All Z, ((apart_point_and_line T_2 Y) => ((distinct_points T_2 Z) \/ (apart_point_and_line Z Y))))) (distinct_points T_0 T_1) (-. (distinct_points T_2 T_1)) (apart_point_and_line T_2 (line_connecting T_0 T_1)) ### All 17 % 0.19/0.43 19. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (-. (distinct_points T_2 T_1)) (distinct_points T_0 T_1) ### All 18 % 0.19/0.43 20. (-. ((distinct_points T_2 T_0) /\ (distinct_points T_2 T_1))) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_2 (line_connecting T_0 T_1)) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAnd 11 19 % 0.19/0.43 21. (-. (((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, ((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_points X Z) \/ (apart_point_and_line Z Y)))))) ### ConjTree 20 % 0.19/0.43 22. (-. (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, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 21 % 0.19/0.43 23. (-. (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, ((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_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotAllEx 22 % 0.19/0.43 24. (-. (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, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 23 % 0.19/0.43 % SZS output end Proof % 0.19/0.43 (* END-PROOF *) %------------------------------------------------------------------------------