%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET162+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 : 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 : Tue Jul 19 05:40:00 EDT 2022 % Result : Theorem 1.70s 1.86s % Output : Proof 1.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n013.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 02:42:29 EDT 2022 % 0.12/0.33 % CPUTime : % 1.70/1.86 % SZS status Theorem % 1.70/1.86 (* PROOF-FOUND *) % 1.70/1.86 (* BEGIN-PROOF *) % 1.70/1.86 % SZS output start Proof % 1.70/1.86 1. (T_0 != T_0) ### Refl(=) % 1.70/1.86 2. ((union (empty_set) T_1) = (union T_1 (empty_set))) ((union T_1 (empty_set)) != (union (empty_set) T_1)) ### Sym(=) % 1.70/1.86 3. (-. (member T_0 (union (empty_set) T_1))) (member T_0 (union T_1 (empty_set))) ((union (empty_set) T_1) = (union T_1 (empty_set))) ### P-NotP 1 2 % 1.70/1.86 4. (member T_0 (empty_set)) (-. (member T_0 (empty_set))) ### Axiom % 1.70/1.86 5. (All B, (-. (member B (empty_set)))) (member T_0 (empty_set)) ### All 4 % 1.70/1.86 6. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom % 1.70/1.86 7. ((member T_0 (empty_set)) \/ (member T_0 T_1)) (-. (member T_0 T_1)) (All B, (-. (member B (empty_set)))) ### Or 5 6 % 1.70/1.86 8. ((member T_0 (union (empty_set) T_1)) <=> ((member T_0 (empty_set)) \/ (member T_0 T_1))) (All B, (-. (member B (empty_set)))) (-. (member T_0 T_1)) ((union (empty_set) T_1) = (union T_1 (empty_set))) (member T_0 (union T_1 (empty_set))) ### Equiv 3 7 % 1.70/1.86 9. (All D, ((member D (union (empty_set) T_1)) <=> ((member D (empty_set)) \/ (member D T_1)))) (member T_0 (union T_1 (empty_set))) ((union (empty_set) T_1) = (union T_1 (empty_set))) (-. (member T_0 T_1)) (All B, (-. (member B (empty_set)))) ### All 8 % 1.70/1.86 10. (All C, (All D, ((member D (union (empty_set) C)) <=> ((member D (empty_set)) \/ (member D C))))) (All B, (-. (member B (empty_set)))) (-. (member T_0 T_1)) ((union (empty_set) T_1) = (union T_1 (empty_set))) (member T_0 (union T_1 (empty_set))) ### All 9 % 1.70/1.86 11. (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (member T_0 (union T_1 (empty_set))) ((union (empty_set) T_1) = (union T_1 (empty_set))) (-. (member T_0 T_1)) (All B, (-. (member B (empty_set)))) ### All 10 % 1.70/1.86 12. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 1.70/1.86 13. (-. ((member T_0 T_1) \/ (member T_0 (empty_set)))) (member T_0 T_1) ### NotOr 12 % 1.70/1.86 14. (-. (member T_0 (union T_1 (empty_set)))) (member T_0 (union T_1 (empty_set))) ### Axiom % 1.70/1.86 15. ((member T_0 (union T_1 (empty_set))) <=> ((member T_0 T_1) \/ (member T_0 (empty_set)))) (-. (member T_0 (union T_1 (empty_set)))) (member T_0 T_1) ### Equiv 13 14 % 1.70/1.86 16. (All D, ((member D (union T_1 (empty_set))) <=> ((member D T_1) \/ (member D (empty_set))))) (member T_0 T_1) (-. (member T_0 (union T_1 (empty_set)))) ### All 15 % 1.70/1.86 17. (All C, (All D, ((member D (union T_1 C)) <=> ((member D T_1) \/ (member D C))))) (-. (member T_0 (union T_1 (empty_set)))) (member T_0 T_1) ### All 16 % 1.70/1.86 18. (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (member T_0 T_1) (-. (member T_0 (union T_1 (empty_set)))) ### All 17 % 1.70/1.86 19. (-. ((member T_0 T_1) <=> (member T_0 (union T_1 (empty_set))))) (All B, (-. (member B (empty_set)))) ((union (empty_set) T_1) = (union T_1 (empty_set))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### NotEquiv 11 18 % 1.70/1.86 20. (-. (All D, ((member D T_1) <=> (member D (union T_1 (empty_set)))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ((union (empty_set) T_1) = (union T_1 (empty_set))) (All B, (-. (member B (empty_set)))) ### NotAllEx 19 % 1.70/1.86 21. ((union T_1 (empty_set)) != T_1) (T_1 = (union T_1 (empty_set))) ### Sym(=) % 1.70/1.86 22. ((T_1 = (union T_1 (empty_set))) <=> (All D, ((member D T_1) <=> (member D (union T_1 (empty_set)))))) ((union T_1 (empty_set)) != T_1) (All B, (-. (member B (empty_set)))) ((union (empty_set) T_1) = (union T_1 (empty_set))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### Equiv 20 21 % 1.70/1.86 23. (All C, ((T_1 = C) <=> (All D, ((member D T_1) <=> (member D C))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ((union (empty_set) T_1) = (union T_1 (empty_set))) (All B, (-. (member B (empty_set)))) ((union T_1 (empty_set)) != T_1) ### All 22 % 1.70/1.86 24. (All C, ((union (empty_set) C) = (union C (empty_set)))) ((union T_1 (empty_set)) != T_1) (All B, (-. (member B (empty_set)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All C, ((T_1 = C) <=> (All D, ((member D T_1) <=> (member D C))))) ### All 23 % 1.70/1.86 25. (All B, (All C, ((B = C) <=> (All D, ((member D B) <=> (member D C)))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (-. (member B (empty_set)))) ((union T_1 (empty_set)) != T_1) (All C, ((union (empty_set) C) = (union C (empty_set)))) ### All 24 % 1.70/1.86 26. (All B, (All C, ((union B C) = (union C B)))) ((union T_1 (empty_set)) != T_1) (All B, (-. (member B (empty_set)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (All C, ((B = C) <=> (All D, ((member D B) <=> (member D C)))))) ### All 25 % 1.70/1.86 27. (-. (All B, ((union B (empty_set)) = B))) (All B, (All C, ((B = C) <=> (All D, ((member D B) <=> (member D C)))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (-. (member B (empty_set)))) (All B, (All C, ((union B C) = (union C B)))) ### NotAllEx 26 % 1.70/1.86 % SZS output end Proof % 1.70/1.86 (* END-PROOF *) %------------------------------------------------------------------------------