%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN078+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 : n023.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 12:40:57 EDT 2022 % Result : Theorem 0.18s 0.38s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n023.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 11 12:34:54 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.38 % SZS status Theorem % 0.18/0.38 (* PROOF-FOUND *) % 0.18/0.38 (* BEGIN-PROOF *) % 0.18/0.38 % SZS output start Proof % 0.18/0.38 1. (big_p T_0) (-. (big_p T_0)) ### Axiom % 0.18/0.38 2. (T_1 = (f T_0)) ((f T_0) != T_1) ### Sym(=) % 0.18/0.38 3. (-. (big_p T_1)) (big_p (f T_0)) (T_1 = (f T_0)) ### P-NotP 2 % 0.18/0.38 4. ((big_p T_0) => (big_p (f T_0))) (T_1 = (f T_0)) (-. (big_p T_1)) (big_p T_0) ### Imply 1 3 % 0.18/0.38 5. (All U, ((big_p U) => (big_p (f U)))) (big_p T_0) (-. (big_p T_1)) (T_1 = (f T_0)) ### All 4 % 0.18/0.38 6. ((big_p T_0) /\ (T_1 = (f T_0))) (-. (big_p T_1)) (All U, ((big_p U) => (big_p (f U)))) ### And 5 % 0.18/0.38 7. (Ex Y, ((big_p Y) /\ (T_1 = (f Y)))) (All U, ((big_p U) => (big_p (f U)))) (-. (big_p T_1)) ### Exists 6 % 0.18/0.38 8. (-. ((Ex Y, ((big_p Y) /\ (T_1 = (f Y)))) => (big_p T_1))) (All U, ((big_p U) => (big_p (f U)))) ### NotImply 7 % 0.18/0.38 9. (-. (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X)))) (All U, ((big_p U) => (big_p (f U)))) ### NotAllEx 8 % 0.18/0.38 10. (big_p T_2) (-. (big_p T_2)) ### Axiom % 0.18/0.38 11. ((f T_2) != (f T_2)) ### Refl(=) % 0.18/0.38 12. (-. ((big_p T_2) /\ ((f T_2) = (f T_2)))) (big_p T_2) ### NotAnd 10 11 % 0.18/0.38 13. (-. (Ex Y, ((big_p Y) /\ ((f T_2) = (f Y))))) (big_p T_2) ### NotExists 12 % 0.18/0.38 14. (-. (big_p (f T_2))) (big_p (f T_2)) ### Axiom % 0.18/0.38 15. ((Ex Y, ((big_p Y) /\ ((f T_2) = (f Y)))) => (big_p (f T_2))) (-. (big_p (f T_2))) (big_p T_2) ### Imply 13 14 % 0.18/0.38 16. (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X))) (big_p T_2) (-. (big_p (f T_2))) ### All 15 % 0.18/0.38 17. (-. ((big_p T_2) => (big_p (f T_2)))) (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X))) ### NotImply 16 % 0.18/0.38 18. (-. (All U, ((big_p U) => (big_p (f U))))) (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X))) ### NotAllEx 17 % 0.18/0.38 19. (-. ((All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X))) <=> (All U, ((big_p U) => (big_p (f U)))))) ### NotEquiv 9 18 % 0.18/0.38 % SZS output end Proof % 0.18/0.38 (* END-PROOF *) %------------------------------------------------------------------------------