%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n024.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 05:38:43 EDT 2022 % Result : Theorem 1.74s 1.94s % Output : Proof 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n024.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 % 0.12/0.34 % DateTime : Sun Jul 10 22:32:58 EDT 2022 % 0.12/0.34 % CPUTime : % 1.74/1.94 % SZS status Theorem % 1.74/1.94 (* PROOF-FOUND *) % 1.74/1.94 (* BEGIN-PROOF *) % 1.74/1.94 % SZS output start Proof % 1.74/1.94 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 1.74/1.94 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 1.74/1.94 3. (-. (-. (member T_0 T_2))) (-. (member T_0 T_2)) ### NotNot 2 % 1.74/1.94 4. (-. ((member T_0 T_1) /\ (-. (member T_0 T_2)))) (-. (member T_0 T_2)) (member T_0 T_1) ### NotAnd 1 3 % 1.74/1.94 5. (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (member T_0 T_1) (-. (member T_0 T_2)) ### NotExists 4 % 1.74/1.94 6. (-. ((member T_0 T_1) => (member T_0 T_2))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### NotImply 5 % 1.74/1.94 7. (-. (All U, ((member U T_1) => (member U T_2)))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### NotAllEx 6 % 1.74/1.94 8. (-. (subclass T_1 T_2)) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### Definition-Pseudo(subclass) 7 % 1.74/1.94 9. (member T_3 T_2) (-. (member T_3 T_2)) ### Axiom % 1.74/1.94 10. (-. (member T_3 T_1)) (member T_3 T_1) ### Axiom % 1.74/1.94 11. (-. (-. (member T_3 T_1))) (-. (member T_3 T_1)) ### NotNot 10 % 1.74/1.94 12. (-. ((member T_3 T_2) /\ (-. (member T_3 T_1)))) (-. (member T_3 T_1)) (member T_3 T_2) ### NotAnd 9 11 % 1.74/1.94 13. (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) (member T_3 T_2) (-. (member T_3 T_1)) ### NotExists 12 % 1.74/1.94 14. (-. ((member T_3 T_2) => (member T_3 T_1))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### NotImply 13 % 1.74/1.94 15. (-. (All U, ((member U T_2) => (member U T_1)))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### NotAllEx 14 % 1.74/1.94 16. (-. (subclass T_2 T_1)) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### Definition-Pseudo(subclass) 15 % 1.74/1.94 17. (-. ((subclass T_1 T_2) /\ (subclass T_2 T_1))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) ### NotAnd 8 16 % 1.74/1.94 18. (T_2 != T_1) (T_1 = T_2) ### Sym(=) % 1.74/1.94 19. ((T_1 = T_2) <=> ((subclass T_1 T_2) /\ (subclass T_2 T_1))) (T_2 != T_1) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### Equiv 17 18 % 1.74/1.94 20. (All Y, ((T_1 = Y) <=> ((subclass T_1 Y) /\ (subclass Y T_1)))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (T_2 != T_1) ### All 19 % 1.74/1.94 21. (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) (T_2 != T_1) (-. (Ex W, ((member W T_1) /\ (-. (member W T_2))))) (-. (Ex U, ((member U T_2) /\ (-. (member U T_1))))) ### All 20 % 1.74/1.94 22. (-. ((T_2 = T_1) \/ ((Ex U, ((member U T_2) /\ (-. (member U T_1)))) \/ (Ex W, ((member W T_1) /\ (-. (member W T_2))))))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) ### ConjTree 21 % 1.74/1.94 23. (-. (All Y, ((T_2 = Y) \/ ((Ex U, ((member U T_2) /\ (-. (member U Y)))) \/ (Ex W, ((member W Y) /\ (-. (member W T_2)))))))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) ### NotAllEx 22 % 1.74/1.94 24. (-. (All X, (All Y, ((X = Y) \/ ((Ex U, ((member U X) /\ (-. (member U Y)))) \/ (Ex W, ((member W Y) /\ (-. (member W X))))))))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) ### NotAllEx 23 % 1.74/1.94 % SZS output end Proof % 1.74/1.94 (* END-PROOF *) %------------------------------------------------------------------------------