%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU155+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n032.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 14:48:44 EDT 2022 % Result : Theorem 89.89s 90.14s % Output : Proof 89.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.08 % Problem : SEU155+1 : TPTP v8.1.0. Released v3.3.0. % 0.01/0.08 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.07/0.26 % Computer : n032.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 600 % 0.07/0.26 % DateTime : Mon Jun 20 11:54:49 EDT 2022 % 0.07/0.27 % CPUTime : % 89.89/90.14 % SZS status Theorem % 89.89/90.14 (* PROOF-FOUND *) % 89.89/90.14 (* BEGIN-PROOF *) % 89.89/90.14 % SZS output start Proof % 89.89/90.14 1. ((union T_0) != (union T_0)) ### Refl(=) % 89.89/90.14 2. (in T_1 T_2) (-. (in T_1 T_2)) ### Axiom % 89.89/90.14 3. (in T_2 T_0) (-. (in T_2 T_0)) ### Axiom % 89.89/90.14 4. (-. ((in T_1 T_2) /\ (in T_2 T_0))) (in T_2 T_0) (in T_1 T_2) ### NotAnd 2 3 % 89.89/90.14 5. (-. (Ex D, ((in T_1 D) /\ (in D T_0)))) (in T_1 T_2) (in T_2 T_0) ### NotExists 4 % 89.89/90.14 6. (-. (in T_1 (union T_0))) (in T_1 (union T_0)) ### Axiom % 89.89/90.14 7. ((in T_1 (union T_0)) <=> (Ex D, ((in T_1 D) /\ (in D T_0)))) (-. (in T_1 (union T_0))) (in T_2 T_0) (in T_1 T_2) ### Equiv 5 6 % 89.89/90.14 8. (All C, ((in C (union T_0)) <=> (Ex D, ((in C D) /\ (in D T_0))))) (in T_1 T_2) (in T_2 T_0) (-. (in T_1 (union T_0))) ### All 7 % 89.89/90.14 9. (((union T_0) = (union T_0)) <=> (All C, ((in C (union T_0)) <=> (Ex D, ((in C D) /\ (in D T_0)))))) (-. (in T_1 (union T_0))) (in T_2 T_0) (in T_1 T_2) ### Equiv 1 8 % 89.89/90.14 10. (All B, ((B = (union T_0)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D T_0))))))) (in T_1 T_2) (in T_2 T_0) (-. (in T_1 (union T_0))) ### All 9 % 89.89/90.14 11. (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) (-. (in T_1 (union T_0))) (in T_2 T_0) (in T_1 T_2) ### All 10 % 89.89/90.14 12. (-. ((in T_1 T_2) => (in T_1 (union T_0)))) (in T_2 T_0) (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) ### NotImply 11 % 89.89/90.14 13. (-. (All C, ((in C T_2) => (in C (union T_0))))) (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) (in T_2 T_0) ### NotAllEx 12 % 89.89/90.14 14. (-. (subset T_2 (union T_0))) (in T_2 T_0) (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) ### Definition-Pseudo(subset) 13 % 89.89/90.14 15. (-. ((in T_2 T_0) => (subset T_2 (union T_0)))) (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) ### NotImply 14 % 89.89/90.14 16. (-. (All B, ((in T_2 B) => (subset T_2 (union B))))) (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) ### NotAllEx 15 % 89.89/90.14 17. (-. (All A, (All B, ((in A B) => (subset A (union B)))))) (All A, (All B, ((B = (union A)) <=> (All C, ((in C B) <=> (Ex D, ((in C D) /\ (in D A)))))))) ### NotAllEx 16 % 89.89/90.14 % SZS output end Proof % 89.89/90.14 (* END-PROOF *) %------------------------------------------------------------------------------