%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET603+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 : n025.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 05:42:38 EDT 2022 % Result : Theorem 25.47s 25.69s % Output : Proof 25.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n025.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 : Sun Jul 10 14:47:16 EDT 2022 % 0.12/0.34 % CPUTime : % 25.47/25.69 % SZS status Theorem % 25.47/25.69 (* PROOF-FOUND *) % 25.47/25.69 (* BEGIN-PROOF *) % 25.47/25.69 % SZS output start Proof % 25.47/25.69 1. (member T_0 (difference T_1 (empty_set))) (-. (member T_0 (difference T_1 (empty_set)))) ### Axiom % 25.47/25.69 2. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom % 25.47/25.69 3. ((member T_0 T_1) /\ (-. (member T_0 (empty_set)))) (-. (member T_0 T_1)) ### And 2 % 25.47/25.69 4. ((member T_0 (difference T_1 (empty_set))) <=> ((member T_0 T_1) /\ (-. (member T_0 (empty_set))))) (-. (member T_0 T_1)) (member T_0 (difference T_1 (empty_set))) ### Equiv 1 3 % 25.47/25.69 5. (All D, ((member D (difference T_1 (empty_set))) <=> ((member D T_1) /\ (-. (member D (empty_set)))))) (member T_0 (difference T_1 (empty_set))) (-. (member T_0 T_1)) ### All 4 % 25.47/25.69 6. (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) (-. (member T_0 T_1)) (member T_0 (difference T_1 (empty_set))) ### All 5 % 25.47/25.69 7. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 25.47/25.69 8. (member T_0 (empty_set)) (-. (member T_0 (empty_set))) ### Axiom % 25.47/25.69 9. (All B, (-. (member B (empty_set)))) (member T_0 (empty_set)) ### All 8 % 25.47/25.69 10. (-. (-. (member T_0 (empty_set)))) (All B, (-. (member B (empty_set)))) ### NotNot 9 % 25.47/25.69 11. (-. ((member T_0 T_1) /\ (-. (member T_0 (empty_set))))) (All B, (-. (member B (empty_set)))) (member T_0 T_1) ### NotAnd 7 10 % 25.47/25.69 12. (-. (member T_0 (difference T_1 (empty_set)))) (member T_0 (difference T_1 (empty_set))) ### Axiom % 25.47/25.69 13. ((member T_0 (difference T_1 (empty_set))) <=> ((member T_0 T_1) /\ (-. (member T_0 (empty_set))))) (-. (member T_0 (difference T_1 (empty_set)))) (member T_0 T_1) (All B, (-. (member B (empty_set)))) ### Equiv 11 12 % 25.47/25.69 14. (All D, ((member D (difference T_1 (empty_set))) <=> ((member D T_1) /\ (-. (member D (empty_set)))))) (All B, (-. (member B (empty_set)))) (member T_0 T_1) (-. (member T_0 (difference T_1 (empty_set)))) ### All 13 % 25.47/25.69 15. (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) (-. (member T_0 (difference T_1 (empty_set)))) (member T_0 T_1) (All B, (-. (member B (empty_set)))) ### All 14 % 25.47/25.69 16. (-. ((member T_0 T_1) <=> (member T_0 (difference T_1 (empty_set))))) (All B, (-. (member B (empty_set)))) (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) ### NotEquiv 6 15 % 25.47/25.69 17. (-. (All D, ((member D T_1) <=> (member D (difference T_1 (empty_set)))))) (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) (All B, (-. (member B (empty_set)))) ### NotAllEx 16 % 25.47/25.69 18. ((difference T_1 (empty_set)) != T_1) (T_1 = (difference T_1 (empty_set))) ### Sym(=) % 25.47/25.69 19. ((T_1 = (difference T_1 (empty_set))) <=> (All D, ((member D T_1) <=> (member D (difference T_1 (empty_set)))))) ((difference T_1 (empty_set)) != T_1) (All B, (-. (member B (empty_set)))) (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) ### Equiv 17 18 % 25.47/25.69 20. (All C, ((T_1 = C) <=> (All D, ((member D T_1) <=> (member D C))))) (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) (All B, (-. (member B (empty_set)))) ((difference T_1 (empty_set)) != T_1) ### All 19 % 25.47/25.69 21. (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ((difference T_1 (empty_set)) != T_1) (All B, (-. (member B (empty_set)))) (All C, ((T_1 = C) <=> (All D, ((member D T_1) <=> (member D C))))) ### All 20 % 25.47/25.69 22. (All B, (All C, ((B = C) <=> (All D, ((member D B) <=> (member D C)))))) (All B, (-. (member B (empty_set)))) ((difference T_1 (empty_set)) != T_1) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### All 21 % 25.47/25.69 23. (-. (All B, ((difference B (empty_set)) = B))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (All B, (-. (member B (empty_set)))) (All B, (All C, ((B = C) <=> (All D, ((member D B) <=> (member D C)))))) ### NotAllEx 22 % 25.47/25.69 % SZS output end Proof % 25.47/25.69 (* END-PROOF *) %------------------------------------------------------------------------------