%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO225+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 : n025.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 06:31:20 EDT 2022 % Result : Theorem 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO225+1 : 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 : n025.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 05:18:58 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.19/0.40 2. (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 % 0.19/0.40 3. ((distinct_points T_0 T_1) => (-. (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_0 T_1) ### Imply 1 2 % 0.19/0.40 4. (All Y, ((distinct_points T_0 Y) => (-. (apart_point_and_line T_0 (line_connecting T_0 Y))))) (distinct_points T_0 T_1) (apart_point_and_line T_0 (line_connecting T_0 T_1)) ### All 3 % 0.19/0.40 5. (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_1)) (distinct_points T_0 T_1) ### All 4 % 0.19/0.40 6. (-. (-. (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (distinct_points T_0 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotNot 5 % 0.19/0.40 7. (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (apart_point_and_line T_1 (line_connecting T_0 T_1)) ### Axiom % 0.19/0.40 8. (-. (-. (apart_point_and_line T_1 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### NotNot 7 % 0.19/0.40 9. (-. ((-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) /\ (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1) ### NotAnd 6 8 % 0.19/0.40 10. (-. ((line (line_connecting T_0 T_1)) => ((-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) /\ (-. (apart_point_and_line T_1 (line_connecting T_0 T_1)))))) (distinct_points T_0 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### NotImply 9 % 0.19/0.40 11. (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (distinct_points T_0 T_1) ### NotExists 10 % 0.19/0.40 12. (distinct_points T_0 T_1) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) (-. (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X)))))) ### Extension/test/ci2 11 % 0.19/0.40 13. (-. (((point T_0) /\ ((point T_1) /\ (distinct_points T_0 T_1))) => (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line T_1 X))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### ConjTree 12 % 0.19/0.40 14. (-. (All B, (((point T_0) /\ ((point B) /\ (distinct_points T_0 B))) => (Ex X, ((line X) => ((-. (apart_point_and_line T_0 X)) /\ (-. (apart_point_and_line B X)))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 13 % 0.19/0.40 15. (-. (All A, (All B, (((point A) /\ ((point B) /\ (distinct_points A B))) => (Ex X, ((line X) => ((-. (apart_point_and_line A X)) /\ (-. (apart_point_and_line B X))))))))) (All X, (All Y, ((distinct_points X Y) => (-. (apart_point_and_line X (line_connecting X Y)))))) ### NotAllEx 14 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------