%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET194+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 : n017.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 05:40:15 EDT 2022 % Result : Theorem 0.19s 0.42s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.12 % Problem : SET194+3 : TPTP v8.1.0. Released v2.2.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n017.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 12:46:02 EDT 2022 % 0.12/0.35 % CPUTime : % 0.19/0.42 % SZS status Theorem % 0.19/0.42 (* PROOF-FOUND *) % 0.19/0.42 (* BEGIN-PROOF *) % 0.19/0.42 % SZS output start Proof % 0.19/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.19/0.42 2. (-. ((member T_0 T_1) \/ (member T_0 T_2))) (member T_0 T_1) ### NotOr 1 % 0.19/0.42 3. (-. (member T_0 (union T_1 T_2))) (member T_0 (union T_1 T_2)) ### Axiom % 0.19/0.42 4. ((member T_0 (union T_1 T_2)) <=> ((member T_0 T_1) \/ (member T_0 T_2))) (-. (member T_0 (union T_1 T_2))) (member T_0 T_1) ### Equiv 2 3 % 0.19/0.42 5. (All D, ((member D (union T_1 T_2)) <=> ((member D T_1) \/ (member D T_2)))) (member T_0 T_1) (-. (member T_0 (union T_1 T_2))) ### All 4 % 0.19/0.42 6. (All C, (All D, ((member D (union T_1 C)) <=> ((member D T_1) \/ (member D C))))) (-. (member T_0 (union T_1 T_2))) (member T_0 T_1) ### All 5 % 0.19/0.42 7. (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 T_2))) ### All 6 % 0.19/0.42 8. (-. ((member T_0 T_1) => (member T_0 (union T_1 T_2)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### NotImply 7 % 0.19/0.42 9. (-. (All D, ((member D T_1) => (member D (union T_1 T_2))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### NotAllEx 8 % 0.19/0.42 10. (-. (subset T_1 (union T_1 T_2))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### Definition-Pseudo(subset) 9 % 0.19/0.42 11. (-. (All C, (subset T_1 (union T_1 C)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### NotAllEx 10 % 0.19/0.42 12. (-. (All B, (All C, (subset B (union B C))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### NotAllEx 11 % 0.19/0.42 % SZS output end Proof % 0.19/0.42 (* END-PROOF *) %------------------------------------------------------------------------------