%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n021.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 : Thu Jul 21 12:40:48 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 % 0.03/0.12 % Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 09:02:39 EDT 2022 % 0.12/0.33 % 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. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom % 0.19/0.40 2. (-. ((big_f T_0 T_1) \/ (big_g T_0 T_1))) (big_f T_0 T_1) ### NotOr 1 % 0.19/0.40 3. (big_g T_1 T_2) (-. (big_g T_1 T_2)) ### Axiom % 0.19/0.40 4. (-. ((big_f T_1 T_2) \/ (big_g T_1 T_2))) (big_g T_1 T_2) ### NotOr 3 % 0.19/0.40 5. (-. (big_h T_0 T_2)) (big_h T_0 T_2) ### Axiom % 0.19/0.40 6. (((big_f T_1 T_2) \/ (big_g T_1 T_2)) => (big_h T_0 T_2)) (-. (big_h T_0 T_2)) (big_g T_1 T_2) ### Imply 4 5 % 0.19/0.40 7. (All Z, (((big_f T_1 Z) \/ (big_g T_1 Z)) => (big_h T_0 Z))) (big_g T_1 T_2) (-. (big_h T_0 T_2)) ### All 6 % 0.19/0.40 8. (-. (Ex Y, (big_h T_0 Y))) (big_g T_1 T_2) (All Z, (((big_f T_1 Z) \/ (big_g T_1 Z)) => (big_h T_0 Z))) ### NotExists 7 % 0.19/0.40 9. (Ex Y, (big_g T_1 Y)) (All Z, (((big_f T_1 Z) \/ (big_g T_1 Z)) => (big_h T_0 Z))) (-. (Ex Y, (big_h T_0 Y))) ### Exists 8 % 0.19/0.40 10. (All X, (Ex Y, (big_g X Y))) (-. (Ex Y, (big_h T_0 Y))) (All Z, (((big_f T_1 Z) \/ (big_g T_1 Z)) => (big_h T_0 Z))) ### All 9 % 0.19/0.40 11. (((big_f T_0 T_1) \/ (big_g T_0 T_1)) => (All Z, (((big_f T_1 Z) \/ (big_g T_1 Z)) => (big_h T_0 Z)))) (-. (Ex Y, (big_h T_0 Y))) (All X, (Ex Y, (big_g X Y))) (big_f T_0 T_1) ### Imply 2 10 % 0.19/0.40 12. (All Y, (((big_f T_0 Y) \/ (big_g T_0 Y)) => (All Z, (((big_f Y Z) \/ (big_g Y Z)) => (big_h T_0 Z))))) (big_f T_0 T_1) (All X, (Ex Y, (big_g X Y))) (-. (Ex Y, (big_h T_0 Y))) ### All 11 % 0.19/0.40 13. (Ex Y, (big_f T_0 Y)) (-. (Ex Y, (big_h T_0 Y))) (All X, (Ex Y, (big_g X Y))) (All Y, (((big_f T_0 Y) \/ (big_g T_0 Y)) => (All Z, (((big_f Y Z) \/ (big_g Y Z)) => (big_h T_0 Z))))) ### Exists 12 % 0.19/0.40 14. (All X, (Ex Y, (big_f X Y))) (All Y, (((big_f T_0 Y) \/ (big_g T_0 Y)) => (All Z, (((big_f Y Z) \/ (big_g Y Z)) => (big_h T_0 Z))))) (All X, (Ex Y, (big_g X Y))) (-. (Ex Y, (big_h T_0 Y))) ### All 13 % 0.19/0.40 15. (All X, (All Y, (((big_f X Y) \/ (big_g X Y)) => (All Z, (((big_f Y Z) \/ (big_g Y Z)) => (big_h X Z)))))) (-. (Ex Y, (big_h T_0 Y))) (All X, (Ex Y, (big_g X Y))) (All X, (Ex Y, (big_f X Y))) ### All 14 % 0.19/0.40 16. (-. (All X, (Ex Y, (big_h X Y)))) (All X, (Ex Y, (big_f X Y))) (All X, (Ex Y, (big_g X Y))) (All X, (All Y, (((big_f X Y) \/ (big_g X Y)) => (All Z, (((big_f Y Z) \/ (big_g Y Z)) => (big_h X Z)))))) ### NotAllEx 15 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------