%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET196+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 : n005.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 05:40:17 EDT 2022 % Result : Theorem 0.20s 0.42s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET196+3 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.34 % Computer : n005.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jul 11 05:06:37 EDT 2022 % 0.14/0.34 % CPUTime : % 0.20/0.42 % SZS status Theorem % 0.20/0.42 (* PROOF-FOUND *) % 0.20/0.42 (* BEGIN-PROOF *) % 0.20/0.42 % SZS output start Proof % 0.20/0.42 1. (member T_0 (intersection T_1 T_2)) (-. (member T_0 (intersection T_1 T_2))) ### Axiom % 0.20/0.42 2. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom % 0.20/0.42 3. ((member T_0 T_1) /\ (member T_0 T_2)) (-. (member T_0 T_1)) ### And 2 % 0.20/0.42 4. ((member T_0 (intersection T_1 T_2)) <=> ((member T_0 T_1) /\ (member T_0 T_2))) (-. (member T_0 T_1)) (member T_0 (intersection T_1 T_2)) ### Equiv 1 3 % 0.20/0.42 5. (All D, ((member D (intersection T_1 T_2)) <=> ((member D T_1) /\ (member D T_2)))) (member T_0 (intersection T_1 T_2)) (-. (member T_0 T_1)) ### All 4 % 0.20/0.42 6. (All C, (All D, ((member D (intersection T_1 C)) <=> ((member D T_1) /\ (member D C))))) (-. (member T_0 T_1)) (member T_0 (intersection T_1 T_2)) ### All 5 % 0.20/0.42 7. (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) (member T_0 (intersection T_1 T_2)) (-. (member T_0 T_1)) ### All 6 % 0.20/0.42 8. (-. ((member T_0 (intersection T_1 T_2)) => (member T_0 T_1))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotImply 7 % 0.20/0.42 9. (-. (All D, ((member D (intersection T_1 T_2)) => (member D T_1)))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotAllEx 8 % 0.20/0.42 10. (-. (subset (intersection T_1 T_2) T_1)) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### Definition-Pseudo(subset) 9 % 0.20/0.42 11. (-. (All C, (subset (intersection T_1 C) T_1))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotAllEx 10 % 0.20/0.42 12. (-. (All B, (All C, (subset (intersection B C) B)))) (All B, (All C, (All D, ((member D (intersection B C)) <=> ((member D B) /\ (member D C)))))) ### NotAllEx 11 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------