%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM394+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n013.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 : Mon Jul 18 14:42:08 EDT 2022 % Result : Theorem 0.60s 0.79s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM394+1 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n013.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jul 7 17:01:59 EDT 2022 % 0.13/0.34 % CPUTime : % 0.60/0.79 % SZS status Theorem % 0.60/0.79 (* PROOF-FOUND *) % 0.60/0.79 (* BEGIN-PROOF *) % 0.60/0.79 % SZS output start Proof % 0.60/0.79 1. (ordinal T_0) (-. (ordinal T_0)) ### Axiom % 0.60/0.79 2. (ordinal T_0) (-. (ordinal T_0)) ### Axiom % 0.60/0.79 3. (ordinal T_0) (-. (ordinal T_0)) ### Axiom % 0.60/0.79 4. (ordinal T_1) (-. (ordinal T_1)) ### Axiom % 0.60/0.79 5. (ordinal T_0) (-. (ordinal T_0)) ### Axiom % 0.60/0.79 6. (-. (in T_1 T_0)) (in T_1 T_0) ### Axiom % 0.60/0.79 7. (T_0 != T_1) (T_1 = T_0) ### Sym(=) % 0.60/0.79 8. (ordinal T_0) (-. (ordinal T_0)) ### Axiom % 0.60/0.79 9. (-. (in T_0 T_1)) (in T_0 T_1) ### Axiom % 0.60/0.79 10. (ordinal T_1) (-. (in T_0 T_1)) (ordinal T_0) (T_0 != T_1) (-. (in T_1 T_0)) ### Extension/test/t24_ordinal1_inst 6 7 8 9 % 0.60/0.79 11. (-. (subset T_1 T_0)) (subset T_1 T_0) ### Axiom % 0.60/0.79 12. (epsilon_transitive T_0) (-. (subset T_1 T_0)) (T_0 != T_1) (ordinal T_0) (-. (in T_0 T_1)) (ordinal T_1) ### Extension/test/d2_ordinal1_inst 10 11 % 0.60/0.79 13. (T_0 != T_0) ### Refl(=) % 0.60/0.79 14. (-. (ordinal_subset T_1 T_0)) (ordinal_subset T_0 T_0) (ordinal T_1) (-. (in T_0 T_1)) (ordinal T_0) (-. (subset T_1 T_0)) (epsilon_transitive T_0) ### P-NotP 12 13 % 0.60/0.79 15. (-. (ordinal_subset T_1 T_0)) (ordinal_subset T_1 T_0) ### Axiom % 0.60/0.79 16. ((ordinal_subset T_1 T_0) <=> (subset T_1 T_0)) (epsilon_transitive T_0) (ordinal T_0) (-. (in T_0 T_1)) (ordinal T_1) (ordinal_subset T_0 T_0) (-. (ordinal_subset T_1 T_0)) ### Equiv 14 15 % 0.60/0.79 17. (((ordinal T_1) /\ (ordinal T_0)) => ((ordinal_subset T_1 T_0) <=> (subset T_1 T_0))) (-. (ordinal_subset T_1 T_0)) (ordinal_subset T_0 T_0) (-. (in T_0 T_1)) (epsilon_transitive T_0) (ordinal T_0) (ordinal T_1) ### DisjTree 4 5 16 % 0.60/0.79 18. (All B, (((ordinal T_1) /\ (ordinal B)) => ((ordinal_subset T_1 B) <=> (subset T_1 B)))) (ordinal T_1) (ordinal T_0) (epsilon_transitive T_0) (-. (in T_0 T_1)) (ordinal_subset T_0 T_0) (-. (ordinal_subset T_1 T_0)) ### All 17 % 0.60/0.79 19. (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (-. (ordinal_subset T_1 T_0)) (ordinal_subset T_0 T_0) (-. (in T_0 T_1)) (epsilon_transitive T_0) (ordinal T_0) (ordinal T_1) ### All 18 % 0.60/0.79 20. (((ordinal T_0) /\ (ordinal T_0)) => (ordinal_subset T_0 T_0)) (ordinal T_1) (epsilon_transitive T_0) (-. (in T_0 T_1)) (-. (ordinal_subset T_1 T_0)) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (ordinal T_0) ### DisjTree 2 3 19 % 0.60/0.79 21. (All B, (((ordinal T_0) /\ (ordinal B)) => (ordinal_subset T_0 T_0))) (ordinal T_0) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (-. (ordinal_subset T_1 T_0)) (-. (in T_0 T_1)) (epsilon_transitive T_0) (ordinal T_1) ### All 20 % 0.60/0.79 22. (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) (ordinal T_1) (epsilon_transitive T_0) (-. (in T_0 T_1)) (-. (ordinal_subset T_1 T_0)) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (ordinal T_0) ### All 21 % 0.60/0.79 23. ((epsilon_transitive T_0) /\ (epsilon_connected T_0)) (ordinal T_0) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (-. (ordinal_subset T_1 T_0)) (-. (in T_0 T_1)) (ordinal T_1) (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) ### And 22 % 0.60/0.79 24. ((ordinal T_0) => ((epsilon_transitive T_0) /\ (epsilon_connected T_0))) (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) (ordinal T_1) (-. (in T_0 T_1)) (-. (ordinal_subset T_1 T_0)) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (ordinal T_0) ### Imply 1 23 % 0.60/0.79 25. (All A, ((ordinal A) => ((epsilon_transitive A) /\ (epsilon_connected A)))) (ordinal T_0) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (-. (ordinal_subset T_1 T_0)) (-. (in T_0 T_1)) (ordinal T_1) (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) ### All 24 % 0.60/0.79 26. (-. ((ordinal T_0) => ((ordinal_subset T_1 T_0) \/ (in T_0 T_1)))) (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) (ordinal T_1) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (All A, ((ordinal A) => ((epsilon_transitive A) /\ (epsilon_connected A)))) ### ConjTree 25 % 0.60/0.79 27. (-. (All B, ((ordinal B) => ((ordinal_subset T_1 B) \/ (in B T_1))))) (All A, ((ordinal A) => ((epsilon_transitive A) /\ (epsilon_connected A)))) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (ordinal T_1) (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) ### NotAllEx 26 % 0.60/0.79 28. (-. ((ordinal T_1) => (All B, ((ordinal B) => ((ordinal_subset T_1 B) \/ (in B T_1)))))) (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (All A, ((ordinal A) => ((epsilon_transitive A) /\ (epsilon_connected A)))) ### NotImply 27 % 0.60/0.79 29. (-. (All A, ((ordinal A) => (All B, ((ordinal B) => ((ordinal_subset A B) \/ (in B A))))))) (All A, ((ordinal A) => ((epsilon_transitive A) /\ (epsilon_connected A)))) (All A, (All B, (((ordinal A) /\ (ordinal B)) => ((ordinal_subset A B) <=> (subset A B))))) (All A, (All B, (((ordinal A) /\ (ordinal B)) => (ordinal_subset A A)))) ### NotAllEx 28 % 0.60/0.79 % SZS output end Proof % 0.60/0.79 (* END-PROOF *) %------------------------------------------------------------------------------