%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET575+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 : 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 05:42:20 EDT 2022 % Result : Theorem 0.21s 0.40s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET575+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.34 % Computer : n024.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 : Sun Jul 10 14:42:43 EDT 2022 % 0.14/0.34 % CPUTime : % 0.21/0.40 % SZS status Theorem % 0.21/0.40 (* PROOF-FOUND *) % 0.21/0.40 (* BEGIN-PROOF *) % 0.21/0.40 % SZS output start Proof % 0.21/0.40 1. (intersect T_0 T_1) (-. (intersect T_0 T_1)) ### Axiom % 0.21/0.40 2. (-. (intersect T_1 T_0)) (intersect T_0 T_1) ### Extension/test/symmetry_of_intersectctrp 1 % 0.21/0.40 3. (member T_2 T_0) (-. (member T_2 T_0)) ### Axiom % 0.21/0.40 4. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom % 0.21/0.40 5. (-. ((member T_2 T_0) /\ (member T_2 T_1))) (member T_2 T_1) (member T_2 T_0) ### NotAnd 3 4 % 0.21/0.40 6. (-. (Ex D, ((member D T_0) /\ (member D T_1)))) (member T_2 T_0) (member T_2 T_1) ### NotExists 5 % 0.21/0.40 7. ((member T_2 T_1) /\ (member T_2 T_0)) (-. (Ex D, ((member D T_0) /\ (member D T_1)))) ### And 6 % 0.21/0.40 8. (Ex D, ((member D T_1) /\ (member D T_0))) (-. (Ex D, ((member D T_0) /\ (member D T_1)))) ### Exists 7 % 0.21/0.40 9. ((intersect T_1 T_0) <=> (Ex D, ((member D T_1) /\ (member D T_0)))) (-. (Ex D, ((member D T_0) /\ (member D T_1)))) (intersect T_0 T_1) ### Equiv 2 8 % 0.21/0.40 10. (All C, ((intersect T_1 C) <=> (Ex D, ((member D T_1) /\ (member D C))))) (intersect T_0 T_1) (-. (Ex D, ((member D T_0) /\ (member D T_1)))) ### All 9 % 0.21/0.40 11. (All B, (All C, ((intersect B C) <=> (Ex D, ((member D B) /\ (member D C)))))) (-. (Ex D, ((member D T_0) /\ (member D T_1)))) (intersect T_0 T_1) ### All 10 % 0.21/0.40 12. (-. ((intersect T_0 T_1) => (Ex D, ((member D T_0) /\ (member D T_1))))) (All B, (All C, ((intersect B C) <=> (Ex D, ((member D B) /\ (member D C)))))) ### NotImply 11 % 0.21/0.40 13. (-. (All C, ((intersect T_0 C) => (Ex D, ((member D T_0) /\ (member D C)))))) (All B, (All C, ((intersect B C) <=> (Ex D, ((member D B) /\ (member D C)))))) ### NotAllEx 12 % 0.21/0.40 14. (-. (All B, (All C, ((intersect B C) => (Ex D, ((member D B) /\ (member D C))))))) (All B, (All C, ((intersect B C) <=> (Ex D, ((member D B) /\ (member D C)))))) ### NotAllEx 13 % 0.21/0.40 % SZS output end Proof % 0.21/0.40 (* END-PROOF *) %------------------------------------------------------------------------------