%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET616+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n010.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 : Tue Jul 19 05:42:48 EDT 2022 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET616+3 : TPTP v8.1.0. Released v2.2.0. % 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n010.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 : Mon Jul 11 04:18:45 EDT 2022 % 0.12/0.33 % CPUTime : % 0.39/0.57 % SZS status Theorem % 0.39/0.57 (* PROOF-FOUND *) % 0.39/0.57 (* BEGIN-PROOF *) % 0.39/0.57 % SZS output start Proof % 0.39/0.57 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.39/0.57 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 0.39/0.57 3. (-. (-. (member T_0 T_2))) (-. (member T_0 T_2)) ### NotNot 2 % 0.39/0.57 4. (-. ((member T_0 T_1) /\ (-. (member T_0 T_2)))) (-. (member T_0 T_2)) (member T_0 T_1) ### NotAnd 1 3 % 0.39/0.57 5. (T_0 != T_0) ### Refl(=) % 0.39/0.57 6. ((difference T_2 T_1) = (difference T_1 T_2)) ((difference T_1 T_2) != (difference T_2 T_1)) ### Sym(=) % 0.39/0.57 7. (-. (member T_0 (difference T_2 T_1))) (member T_0 (difference T_1 T_2)) ((difference T_2 T_1) = (difference T_1 T_2)) ### P-NotP 5 6 % 0.39/0.57 8. ((member T_0 (difference T_1 T_2)) <=> ((member T_0 T_1) /\ (-. (member T_0 T_2)))) ((difference T_2 T_1) = (difference T_1 T_2)) (-. (member T_0 (difference T_2 T_1))) (member T_0 T_1) (-. (member T_0 T_2)) ### Equiv 4 7 % 0.39/0.57 9. (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) (-. (member T_0 T_2)) (member T_0 T_1) (-. (member T_0 (difference T_2 T_1))) ((difference T_2 T_1) = (difference T_1 T_2)) ### All 8 % 0.39/0.57 10. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 0.39/0.57 11. ((member T_0 T_2) /\ (-. (member T_0 T_1))) (-. (member T_0 T_2)) ### And 10 % 0.39/0.57 12. ((member T_0 (difference T_2 T_1)) <=> ((member T_0 T_2) /\ (-. (member T_0 T_1)))) ((difference T_2 T_1) = (difference T_1 T_2)) (member T_0 T_1) (-. (member T_0 T_2)) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ### Equiv 9 11 % 0.39/0.57 13. (All D, ((member D (difference T_2 T_1)) <=> ((member D T_2) /\ (-. (member D T_1))))) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) (-. (member T_0 T_2)) (member T_0 T_1) ((difference T_2 T_1) = (difference T_1 T_2)) ### All 12 % 0.39/0.57 14. (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) ((difference T_2 T_1) = (difference T_1 T_2)) (member T_0 T_1) (-. (member T_0 T_2)) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ### All 13 % 0.39/0.57 15. (member T_0 T_2) (-. (member T_0 T_2)) ### Axiom % 0.39/0.57 16. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom % 0.39/0.57 17. (-. (-. (member T_0 T_1))) (-. (member T_0 T_1)) ### NotNot 16 % 0.39/0.57 18. (-. ((member T_0 T_2) /\ (-. (member T_0 T_1)))) (-. (member T_0 T_1)) (member T_0 T_2) ### NotAnd 15 17 % 0.39/0.57 19. (T_0 != T_0) ### Refl(=) % 0.39/0.57 20. ((difference T_2 T_1) = (difference T_1 T_2)) ((difference T_2 T_1) != (difference T_1 T_2)) ### Axiom % 0.39/0.57 21. (-. (member T_0 (difference T_1 T_2))) (member T_0 (difference T_2 T_1)) ((difference T_2 T_1) = (difference T_1 T_2)) ### P-NotP 19 20 % 0.39/0.57 22. ((member T_0 (difference T_2 T_1)) <=> ((member T_0 T_2) /\ (-. (member T_0 T_1)))) ((difference T_2 T_1) = (difference T_1 T_2)) (-. (member T_0 (difference T_1 T_2))) (member T_0 T_2) (-. (member T_0 T_1)) ### Equiv 18 21 % 0.39/0.57 23. (All D, ((member D (difference T_2 T_1)) <=> ((member D T_2) /\ (-. (member D T_1))))) (-. (member T_0 T_1)) (member T_0 T_2) (-. (member T_0 (difference T_1 T_2))) ((difference T_2 T_1) = (difference T_1 T_2)) ### All 22 % 0.39/0.57 24. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom % 0.39/0.57 25. ((member T_0 T_1) /\ (-. (member T_0 T_2))) (-. (member T_0 T_1)) ### And 24 % 0.39/0.57 26. ((member T_0 (difference T_1 T_2)) <=> ((member T_0 T_1) /\ (-. (member T_0 T_2)))) ((difference T_2 T_1) = (difference T_1 T_2)) (member T_0 T_2) (-. (member T_0 T_1)) (All D, ((member D (difference T_2 T_1)) <=> ((member D T_2) /\ (-. (member D T_1))))) ### Equiv 23 25 % 0.39/0.57 27. (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) (All D, ((member D (difference T_2 T_1)) <=> ((member D T_2) /\ (-. (member D T_1))))) (-. (member T_0 T_1)) (member T_0 T_2) ((difference T_2 T_1) = (difference T_1 T_2)) ### All 26 % 0.39/0.57 28. (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) ((difference T_2 T_1) = (difference T_1 T_2)) (member T_0 T_2) (-. (member T_0 T_1)) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ### All 27 % 0.39/0.57 29. (-. ((member T_0 T_2) <=> (member T_0 T_1))) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ((difference T_2 T_1) = (difference T_1 T_2)) (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) ### NotEquiv 14 28 % 0.39/0.57 30. (-. (All D, ((member D T_2) <=> (member D T_1)))) (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) ((difference T_2 T_1) = (difference T_1 T_2)) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ### NotAllEx 29 % 0.39/0.57 31. (T_2 != T_1) (T_2 = T_1) ### Axiom % 0.39/0.57 32. ((All D, ((member D T_2) <=> (member D T_1))) => (T_2 = T_1)) (T_2 != T_1) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ((difference T_2 T_1) = (difference T_1 T_2)) (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) ### Imply 30 31 % 0.39/0.57 33. (All C, ((All D, ((member D T_2) <=> (member D C))) => (T_2 = C))) (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) ((difference T_2 T_1) = (difference T_1 T_2)) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) (T_2 != T_1) ### All 32 % 0.39/0.57 34. (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) (T_2 != T_1) ((difference T_2 T_1) = (difference T_1 T_2)) (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) (All C, ((All D, ((member D T_2) <=> (member D C))) => (T_2 = C))) ### All 33 % 0.39/0.57 35. (All B, (All C, ((All D, ((member D B) <=> (member D C))) => (B = C)))) (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) ((difference T_2 T_1) = (difference T_1 T_2)) (T_2 != T_1) (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) ### All 34 % 0.39/0.57 36. (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (T_2 != T_1) ((difference T_2 T_1) = (difference T_1 T_2)) (All C, (All D, ((member D (difference T_2 C)) <=> ((member D T_2) /\ (-. (member D C)))))) (All B, (All C, ((All D, ((member D B) <=> (member D C))) => (B = C)))) ### All 35 % 0.39/0.57 37. (All B, (All C, ((All D, ((member D B) <=> (member D C))) => (B = C)))) ((difference T_2 T_1) = (difference T_1 T_2)) (T_2 != T_1) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### All 36 % 0.39/0.57 38. (-. (((difference T_2 T_1) = (difference T_1 T_2)) => (T_2 = T_1))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (All B, (All C, ((All D, ((member D B) <=> (member D C))) => (B = C)))) ### NotImply 37 % 0.39/0.57 39. (-. (All C, (((difference T_2 C) = (difference C T_2)) => (T_2 = C)))) (All B, (All C, ((All D, ((member D B) <=> (member D C))) => (B = C)))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotAllEx 38 % 0.39/0.57 40. (-. (All B, (All C, (((difference B C) = (difference C B)) => (B = C))))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (All B, (All C, ((All D, ((member D B) <=> (member D C))) => (B = C)))) ### NotAllEx 39 % 0.39/0.57 % SZS output end Proof % 0.39/0.57 (* END-PROOF *) %------------------------------------------------------------------------------