%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN063+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 12:40:46 EDT 2022 % Result : Theorem 0.12s 0.40s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYN063+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n021.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 12 03:12:24 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.40 % SZS status Theorem % 0.12/0.40 (* PROOF-FOUND *) % 0.12/0.40 (* BEGIN-PROOF *) % 0.12/0.40 % SZS output start Proof % 0.12/0.40 1. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.12/0.40 2. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.12/0.40 3. (-. (big_p (b))) (big_p (b)) ### Axiom % 0.12/0.40 4. (-. (big_p (c))) (big_p (c)) ### Axiom % 0.12/0.40 5. ((-. (big_p (a))) \/ ((big_p (b)) \/ (big_p (c)))) (-. (big_p (c))) (-. (big_p (b))) (big_p (a)) ### DisjTree 2 3 4 % 0.12/0.40 6. (((-. (big_p (a))) \/ ((big_p (b)) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c))))) (big_p (a)) (-. (big_p (b))) (-. (big_p (c))) ### And 5 % 0.12/0.40 7. (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))) (-. (big_p (c))) (-. (big_p (b))) (big_p (a)) ### All 6 % 0.12/0.40 8. (-. (big_p (c))) (big_p (c)) ### Axiom % 0.12/0.40 9. ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))) (-. (big_p (c))) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))) (big_p (a)) ### DisjTree 1 7 8 % 0.12/0.40 10. (((-. (big_p (a))) \/ ((big_p zenon_X0) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c))))) (big_p (a)) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))) (-. (big_p (c))) ### And 9 % 0.12/0.40 11. (-. (big_p (c))) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))) (big_p (a)) ### All 10 % 0.12/0.40 12. (-. (((big_p (a)) /\ ((big_p T_1) => (big_p (b)))) => (big_p (c)))) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))) ### ConjTree 11 % 0.12/0.40 13. (-. (All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c))))) (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))) ### NotAllEx 12 % 0.12/0.40 14. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.12/0.40 15. (-. (big_p (c))) (big_p (c)) ### Axiom % 0.12/0.40 16. (-. ((big_p (c)) => (big_p (b)))) (-. (big_p (c))) ### NotImply 15 % 0.12/0.40 17. (-. (big_p (c))) (big_p (c)) ### Axiom % 0.12/0.40 18. (((big_p (a)) /\ ((big_p (c)) => (big_p (b)))) => (big_p (c))) (-. (big_p (c))) (big_p (a)) ### DisjTree 14 16 17 % 0.12/0.40 19. (All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c)))) (big_p (a)) (-. (big_p (c))) ### All 18 % 0.12/0.40 20. (-. ((-. (big_p (a))) \/ ((big_p T_2) \/ (big_p (c))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c)))) ### ConjTree 19 % 0.12/0.40 21. (big_p (a)) (-. (big_p (a))) ### Axiom % 0.12/0.40 22. (big_p (b)) (-. (big_p (b))) ### Axiom % 0.12/0.40 23. (-. ((big_p zenon_X3) => (big_p (b)))) (big_p (b)) ### NotImply 22 % 0.12/0.40 24. (-. (big_p (c))) (big_p (c)) ### Axiom % 0.12/0.40 25. (((big_p (a)) /\ ((big_p zenon_X3) => (big_p (b)))) => (big_p (c))) (-. (big_p (c))) (big_p (b)) (big_p (a)) ### DisjTree 21 23 24 % 0.12/0.40 26. (All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c)))) (big_p (a)) (big_p (b)) (-. (big_p (c))) ### All 25 % 0.12/0.40 27. (-. ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c)))) ### ConjTree 26 % 0.12/0.40 28. (-. (((-. (big_p (a))) \/ ((big_p T_2) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c)))) ### NotAnd 20 27 % 0.12/0.40 29. (-. (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c))))))) (All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c)))) ### NotAllEx 28 % 0.12/0.40 30. (-. ((All X, (((big_p (a)) /\ ((big_p X) => (big_p (b)))) => (big_p (c)))) <=> (All X1, (((-. (big_p (a))) \/ ((big_p X1) \/ (big_p (c)))) /\ ((-. (big_p (a))) \/ ((-. (big_p (b))) \/ (big_p (c)))))))) ### NotEquiv 13 29 % 0.12/0.40 % SZS output end Proof % 0.12/0.40 (* END-PROOF *) %------------------------------------------------------------------------------