%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN082+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 12:41:00 EDT 2022 % Result : Theorem 0.20s 0.39s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN082+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n017.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 : Mon Jul 11 19:18:19 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.39 % SZS status Theorem % 0.20/0.39 (* PROOF-FOUND *) % 0.20/0.39 (* BEGIN-PROOF *) % 0.20/0.39 % SZS output start Proof % 0.20/0.39 1. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom % 0.20/0.39 2. (-. (big_f T_0 (f T_0))) (big_f T_0 (f T_0)) ### Axiom % 0.20/0.39 3. ((big_f T_0 T_1) => (big_f T_0 (f T_0))) (-. (big_f T_0 (f T_0))) (big_f T_0 T_1) ### Imply 1 2 % 0.20/0.39 4. (All Z, ((big_f Z T_1) => (big_f Z (f T_0)))) (big_f T_0 T_1) (-. (big_f T_0 (f T_0))) ### All 3 % 0.20/0.39 5. ((All Z, ((big_f Z T_1) => (big_f Z (f T_0)))) /\ (big_f T_0 T_1)) (-. (big_f T_0 (f T_0))) ### And 4 % 0.20/0.39 6. (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f T_0)))) /\ (big_f T_0 Y))) (-. (big_f T_0 (f T_0))) ### Exists 5 % 0.20/0.39 7. (-. (big_f T_2 (f T_0))) (big_f T_2 (f T_0)) ### Axiom % 0.20/0.39 8. (-. ((big_f T_2 (f T_0)) => (big_f T_2 (f T_0)))) ### NotImply 7 % 0.20/0.39 9. (-. (All Z, ((big_f Z (f T_0)) => (big_f Z (f T_0))))) ### NotAllEx 8 % 0.20/0.39 10. (big_f T_0 (f T_0)) (-. (big_f T_0 (f T_0))) ### Axiom % 0.20/0.39 11. (-. ((All Z, ((big_f Z (f T_0)) => (big_f Z (f T_0)))) /\ (big_f T_0 (f T_0)))) (big_f T_0 (f T_0)) ### NotAnd 9 10 % 0.20/0.39 12. (-. (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f T_0)))) /\ (big_f T_0 Y)))) (big_f T_0 (f T_0)) ### NotExists 11 % 0.20/0.39 13. (-. ((big_f T_0 (f T_0)) <=> (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f T_0)))) /\ (big_f T_0 Y))))) ### NotEquiv 6 12 % 0.20/0.39 14. (-. (All X, ((big_f X (f X)) <=> (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f X)))) /\ (big_f X Y)))))) ### NotAllEx 13 % 0.20/0.39 % SZS output end Proof % 0.20/0.39 (* END-PROOF *) %------------------------------------------------------------------------------