%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN325+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 : n017.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 12:42:34 EDT 2022 % Result : Theorem 0.12s 0.38s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : SYN325+1 : TPTP v8.1.0. Released v2.0.0. % 0.09/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n017.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Mon Jul 11 17:39:49 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.38 % SZS status Theorem % 0.12/0.38 (* PROOF-FOUND *) % 0.12/0.38 (* BEGIN-PROOF *) % 0.12/0.38 % SZS output start Proof % 0.12/0.38 1. (-. (big_f T_0 T_0)) (big_f T_0 T_0) ### Axiom % 0.12/0.38 2. (-. ((big_f T_0 T_0) => (big_f T_1 T_1))) (-. (big_f T_0 T_0)) ### NotImply 1 % 0.12/0.38 3. (-. (big_g T_0)) (big_g T_0) ### Axiom % 0.12/0.38 4. ((big_f T_0 T_1) /\ (big_g T_0)) (-. (big_g T_0)) ### And 3 % 0.12/0.38 5. (((big_f T_0 T_0) => (big_f T_1 T_1)) => ((big_f T_0 T_1) /\ (big_g T_0))) (-. (big_g T_0)) (-. (big_f T_0 T_0)) ### Imply 2 4 % 0.12/0.38 6. (-. ((((big_f T_0 T_0) => (big_f T_1 T_1)) => ((big_f T_0 T_1) /\ (big_g T_0))) => (big_g T_1))) (-. (big_f T_0 T_0)) (-. (big_g T_0)) ### NotImply 5 % 0.12/0.38 7. (-. (All Y, ((((big_f T_0 T_0) => (big_f Y Y)) => ((big_f T_0 Y) /\ (big_g T_0))) => (big_g Y)))) (-. (big_g T_0)) (-. (big_f T_0 T_0)) ### NotAllEx 6 % 0.12/0.38 8. (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) (-. (big_f T_0 T_0)) (-. (big_g T_0)) ### NotExists 7 % 0.12/0.38 9. (-. ((big_f T_2 T_2) => (big_f T_0 T_0))) (-. (big_g T_0)) (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) ### NotImply 8 % 0.12/0.38 10. (-. (big_g T_2)) (big_g T_2) ### Axiom % 0.12/0.38 11. ((big_f T_2 T_0) /\ (big_g T_2)) (-. (big_g T_2)) ### And 10 % 0.12/0.38 12. (((big_f T_2 T_2) => (big_f T_0 T_0)) => ((big_f T_2 T_0) /\ (big_g T_2))) (-. (big_g T_2)) (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) (-. (big_g T_0)) ### Imply 9 11 % 0.12/0.38 13. (-. ((((big_f T_2 T_2) => (big_f T_0 T_0)) => ((big_f T_2 T_0) /\ (big_g T_2))) => (big_g T_0))) (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) (-. (big_g T_2)) ### NotImply 12 % 0.12/0.38 14. (-. (All Y, ((((big_f T_2 T_2) => (big_f Y Y)) => ((big_f T_2 Y) /\ (big_g T_2))) => (big_g Y)))) (-. (big_g T_2)) (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) ### NotAllEx 13 % 0.12/0.38 15. (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) (-. (big_g T_2)) ### NotExists 14 % 0.12/0.38 16. (-. ((((big_f zenon_X3 zenon_X3) => (big_f T_2 T_2)) => ((big_f zenon_X3 T_2) /\ (big_g zenon_X3))) => (big_g T_2))) (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) ### NotImply 15 % 0.12/0.38 17. (-. (All Y, ((((big_f zenon_X3 zenon_X3) => (big_f Y Y)) => ((big_f zenon_X3 Y) /\ (big_g zenon_X3))) => (big_g Y)))) (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) ### NotAllEx 16 % 0.12/0.38 18. (-. (Ex X, (All Y, ((((big_f X X) => (big_f Y Y)) => ((big_f X Y) /\ (big_g X))) => (big_g Y))))) ### NotExists 17 % 0.12/0.38 % SZS output end Proof % 0.12/0.38 (* END-PROOF *) %------------------------------------------------------------------------------