%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN356+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 : n012.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 12:42:56 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 : SYN356+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 : n012.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 03:10:42 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_r (a) (b)) (-. (big_r (a) (b))) ### Axiom % 0.19/0.40 2. (big_q (a) (b)) (-. (big_q (a) (b))) ### Axiom % 0.19/0.40 3. (-. (big_q (a) (a))) (big_q (a) (a)) ### Axiom % 0.19/0.40 4. ((big_q (a) (b)) => (big_q (a) (a))) (-. (big_q (a) (a))) (big_q (a) (b)) ### Imply 2 3 % 0.19/0.40 5. (All V, ((big_q (a) V) => (big_q (a) (a)))) (big_q (a) (b)) (-. (big_q (a) (a))) ### All 4 % 0.19/0.40 6. (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (a) (a))) (big_q (a) (b)) ### All 5 % 0.19/0.40 7. ((big_r (b) (a)) /\ (big_q (a) (b))) (-. (big_q (a) (a))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### And 6 % 0.19/0.40 8. ((big_r (a) (b)) => ((big_r (b) (a)) /\ (big_q (a) (b)))) (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (a) (a))) (big_r (a) (b)) ### Imply 1 7 % 0.19/0.40 9. (All Y, ((big_r (a) Y) => ((big_r Y (a)) /\ (big_q (a) Y)))) (big_r (a) (b)) (-. (big_q (a) (a))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### All 8 % 0.19/0.40 10. (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (a) (a))) (big_r (a) (b)) ### All 9 % 0.19/0.40 11. (big_r (a) (b)) (-. (big_r (a) (b))) ### Axiom % 0.19/0.40 12. (-. (big_r (b) (a))) (big_r (b) (a)) ### Axiom % 0.19/0.40 13. ((big_r (b) (a)) /\ (big_q (a) (b))) (-. (big_r (b) (a))) ### And 12 % 0.19/0.40 14. ((big_r (a) (b)) => ((big_r (b) (a)) /\ (big_q (a) (b)))) (-. (big_r (b) (a))) (big_r (a) (b)) ### Imply 11 13 % 0.19/0.40 15. (All Y, ((big_r (a) Y) => ((big_r Y (a)) /\ (big_q (a) Y)))) (big_r (a) (b)) (-. (big_r (b) (a))) ### All 14 % 0.19/0.40 16. (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) (-. (big_r (b) (a))) (big_r (a) (b)) ### All 15 % 0.19/0.40 17. (big_q (b) (a)) (-. (big_q (b) (a))) ### Axiom % 0.19/0.40 18. (-. (big_q (b) (b))) (big_q (b) (b)) ### Axiom % 0.19/0.40 19. ((big_q (b) (a)) => (big_q (b) (b))) (-. (big_q (b) (b))) (big_q (b) (a)) ### Imply 17 18 % 0.19/0.40 20. (All V, ((big_q (b) V) => (big_q (b) (b)))) (big_q (b) (a)) (-. (big_q (b) (b))) ### All 19 % 0.19/0.40 21. (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (b) (b))) (big_q (b) (a)) ### All 20 % 0.19/0.40 22. ((big_r (a) (b)) /\ (big_q (b) (a))) (-. (big_q (b) (b))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### And 21 % 0.19/0.40 23. ((big_r (b) (a)) => ((big_r (a) (b)) /\ (big_q (b) (a)))) (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (b) (b))) (big_r (a) (b)) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) ### Imply 16 22 % 0.19/0.40 24. (All Y, ((big_r (b) Y) => ((big_r Y (b)) /\ (big_q (b) Y)))) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) (big_r (a) (b)) (-. (big_q (b) (b))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### All 23 % 0.19/0.40 25. (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (b) (b))) (big_r (a) (b)) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) ### All 24 % 0.19/0.40 26. (-. ((big_q (a) (a)) /\ (big_q (b) (b)))) (big_r (a) (b)) (All U, (All V, ((big_q U V) => (big_q U U)))) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) ### NotAnd 10 25 % 0.19/0.40 27. (-. (((big_r (a) (b)) /\ ((All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) /\ (All U, (All V, ((big_q U V) => (big_q U U)))))) => ((big_q (a) (a)) /\ (big_q (b) (b))))) ### ConjTree 26 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------