%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET199+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 : n003.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 05:40:18 EDT 2022 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n003.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 02:00:59 EDT 2022 % 0.12/0.34 % CPUTime : % 0.40/0.57 % SZS status Theorem % 0.40/0.57 (* PROOF-FOUND *) % 0.40/0.57 (* BEGIN-PROOF *) % 0.40/0.57 % SZS output start Proof % 0.40/0.57 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.40/0.57 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 0.40/0.57 3. ((member T_0 T_1) => (member T_0 T_2)) (-. (member T_0 T_2)) (member T_0 T_1) ### Imply 1 2 % 0.40/0.57 4. (All D, ((member D T_1) => (member D T_2))) (member T_0 T_1) (-. (member T_0 T_2)) ### All 3 % 0.40/0.57 5. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.40/0.57 6. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom % 0.40/0.57 7. ((member T_0 T_1) => (member T_0 T_3)) (-. (member T_0 T_3)) (member T_0 T_1) ### Imply 5 6 % 0.40/0.57 8. (All D, ((member D T_1) => (member D T_3))) (member T_0 T_1) (-. (member T_0 T_3)) ### All 7 % 0.40/0.57 9. (-. ((member T_0 T_2) /\ (member T_0 T_3))) (All D, ((member D T_1) => (member D T_3))) (member T_0 T_1) (All D, ((member D T_1) => (member D T_2))) ### NotAnd 4 8 % 0.40/0.57 10. (-. (member T_0 (intersection T_2 T_3))) (member T_0 (intersection T_2 T_3)) ### Axiom % 0.40/0.57 11. ((member T_0 (intersection T_2 T_3)) <=> ((member T_0 T_2) /\ (member T_0 T_3))) (-. (member T_0 (intersection T_2 T_3))) (All D, ((member D T_1) => (member D T_2))) (member T_0 T_1) (All D, ((member D T_1) => (member D T_3))) ### Equiv 9 10 % 0.40/0.57 12. (All D, ((member D (intersection T_2 T_3)) <=> ((member D T_2) /\ (member D T_3)))) (All D, ((member D T_1) => (member D T_3))) (member T_0 T_1) (All D, ((member D T_1) => (member D T_2))) (-. (member T_0 (intersection T_2 T_3))) ### All 11 % 0.40/0.57 13. (All C, (All D, ((member D (intersection T_2 C)) <=> ((member D T_2) /\ (member D C))))) (-. (member T_0 (intersection T_2 T_3))) (All D, ((member D T_1) => (member D T_2))) (member T_0 T_1) (All D, ((member D T_1) => (member D T_3))) ### All 12 % 0.40/0.57 14. (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) (All D, ((member D T_1) => (member D T_3))) (member T_0 T_1) (All D, ((member D T_1) => (member D T_2))) (-. (member T_0 (intersection T_2 T_3))) ### All 13 % 0.40/0.57 15. (-. ((member T_0 T_1) => (member T_0 (intersection T_2 T_3)))) (All D, ((member D T_1) => (member D T_2))) (All D, ((member D T_1) => (member D T_3))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotImply 14 % 0.40/0.57 16. (-. (All D, ((member D T_1) => (member D (intersection T_2 T_3))))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) (All D, ((member D T_1) => (member D T_3))) (All D, ((member D T_1) => (member D T_2))) ### NotAllEx 15 % 0.40/0.57 17. (-. (subset T_1 (intersection T_2 T_3))) (All D, ((member D T_1) => (member D T_2))) (All D, ((member D T_1) => (member D T_3))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### Definition-Pseudo(subset) 16 % 0.40/0.57 18. (subset T_1 T_3) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) (All D, ((member D T_1) => (member D T_2))) (-. (subset T_1 (intersection T_2 T_3))) ### Definition-Pseudo(subset) 17 % 0.40/0.57 19. (subset T_1 T_2) (-. (subset T_1 (intersection T_2 T_3))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) (subset T_1 T_3) ### Definition-Pseudo(subset) 18 % 0.40/0.57 20. (-. (((subset T_1 T_2) /\ (subset T_1 T_3)) => (subset T_1 (intersection T_2 T_3)))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### ConjTree 19 % 0.40/0.57 21. (-. (All D, (((subset T_1 T_2) /\ (subset T_1 D)) => (subset T_1 (intersection T_2 D))))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotAllEx 20 % 0.40/0.57 22. (-. (All C, (All D, (((subset T_1 C) /\ (subset T_1 D)) => (subset T_1 (intersection C D)))))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotAllEx 21 % 0.40/0.57 23. (-. (All B, (All C, (All D, (((subset B C) /\ (subset B D)) => (subset B (intersection C D))))))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotAllEx 22 % 0.40/0.57 % SZS output end Proof % 0.40/0.57 (* END-PROOF *) %------------------------------------------------------------------------------