%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET014+4 : 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 : n016.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 05:38:00 EDT 2022 % Result : Theorem 0.21s 0.44s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SET014+4 : TPTP v8.1.0. Released v2.2.0. % 0.08/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.36 % Computer : n016.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Mon Jul 11 10:31:27 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.44 % SZS status Theorem % 0.21/0.44 (* PROOF-FOUND *) % 0.21/0.44 (* BEGIN-PROOF *) % 0.21/0.44 % SZS output start Proof % 0.21/0.44 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.21/0.44 2. (-. (member T_0 (union T_1 T_2))) (member T_0 T_1) ### Extension/test/not_union 1 % 0.21/0.44 3. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom % 0.21/0.44 4. (subset (union T_1 T_2) T_3) (-. (member T_0 T_3)) (member T_0 T_1) ### Extension/test/subset_inst 2 3 % 0.21/0.44 5. (-. (subset T_1 T_3)) (subset (union T_1 T_2) T_3) ### Extension/test/not_subset 4 % 0.21/0.44 6. (member T_4 T_2) (-. (member T_4 T_2)) ### Axiom % 0.21/0.44 7. (-. (member T_4 (union T_1 T_2))) (member T_4 T_2) ### Extension/test/not_union 6 % 0.21/0.44 8. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom % 0.21/0.44 9. (subset (union T_1 T_2) T_3) (-. (member T_4 T_3)) (member T_4 T_2) ### Extension/test/subset_inst 7 8 % 0.21/0.44 10. (-. (subset T_2 T_3)) (subset (union T_1 T_2) T_3) ### Extension/test/not_subset 9 % 0.21/0.44 11. (-. ((subset T_1 T_3) /\ (subset T_2 T_3))) (subset (union T_1 T_2) T_3) ### NotAnd 5 10 % 0.21/0.44 12. (member T_5 T_1) (-. (member T_5 T_1)) ### Axiom % 0.21/0.44 13. (-. (member T_5 T_3)) (member T_5 T_3) ### Axiom % 0.21/0.44 14. (subset T_1 T_3) (-. (member T_5 T_3)) (member T_5 T_1) ### Extension/test/subset_inst 12 13 % 0.21/0.44 15. (member T_5 T_2) (-. (member T_5 T_2)) ### Axiom % 0.21/0.44 16. (-. (member T_5 T_3)) (member T_5 T_3) ### Axiom % 0.21/0.44 17. (subset T_2 T_3) (-. (member T_5 T_3)) (member T_5 T_2) ### Extension/test/subset_inst 15 16 % 0.21/0.44 18. (member T_5 (union T_1 T_2)) (subset T_2 T_3) (-. (member T_5 T_3)) (subset T_1 T_3) ### Extension/test/union 14 17 % 0.21/0.44 19. (-. (subset (union T_1 T_2) T_3)) (subset T_1 T_3) (subset T_2 T_3) ### Extension/test/not_subset 18 % 0.21/0.44 20. ((subset T_1 T_3) /\ (subset T_2 T_3)) (-. (subset (union T_1 T_2) T_3)) ### And 19 % 0.21/0.44 21. (-. (((subset T_1 T_3) /\ (subset T_2 T_3)) <=> (subset (union T_1 T_2) T_3))) ### NotEquiv 11 20 % 0.21/0.44 22. (-. (All Y, (((subset T_1 T_3) /\ (subset Y T_3)) <=> (subset (union T_1 Y) T_3)))) ### NotAllEx 21 % 0.21/0.44 23. (-. (All X, (All Y, (((subset X T_3) /\ (subset Y T_3)) <=> (subset (union X Y) T_3))))) ### NotAllEx 22 % 0.21/0.44 24. (-. (All A, (All X, (All Y, (((subset X A) /\ (subset Y A)) <=> (subset (union X Y) A)))))) ### NotAllEx 23 % 0.21/0.44 % SZS output end Proof % 0.21/0.44 (* END-PROOF *) %------------------------------------------------------------------------------