%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU144+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 : n013.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 14:48:37 EDT 2022 % Result : Theorem 65.83s 66.01s % Output : Proof 65.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU144+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.33 % Computer : n013.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 600 % 0.14/0.33 % DateTime : Sun Jun 19 06:05:29 EDT 2022 % 0.14/0.33 % CPUTime : % 65.83/66.01 % SZS status Theorem % 65.83/66.01 (* PROOF-FOUND *) % 65.83/66.01 (* BEGIN-PROOF *) % 65.83/66.01 % SZS output start Proof % 65.83/66.01 1. ((singleton T_0) != (singleton T_0)) ### Refl(=) % 65.83/66.01 2. (in T_1 (singleton T_0)) (-. (in T_1 (singleton T_0))) ### Axiom % 65.83/66.01 3. (T_0 != T_1) (T_1 = T_0) ### Sym(=) % 65.83/66.01 4. ((in T_1 (singleton T_0)) <=> (T_1 = T_0)) (T_0 != T_1) (in T_1 (singleton T_0)) ### Equiv 2 3 % 65.83/66.01 5. (All C, ((in C (singleton T_0)) <=> (C = T_0))) (in T_1 (singleton T_0)) (T_0 != T_1) ### All 4 % 65.83/66.01 6. (T_2 != T_2) ### Refl(=) % 65.83/66.01 7. (-. (in T_1 T_2)) (in T_0 T_2) (in T_1 (singleton T_0)) (All C, ((in C (singleton T_0)) <=> (C = T_0))) ### P-NotP 5 6 % 65.83/66.01 8. (((singleton T_0) = (singleton T_0)) <=> (All C, ((in C (singleton T_0)) <=> (C = T_0)))) (in T_1 (singleton T_0)) (in T_0 T_2) (-. (in T_1 T_2)) ### Equiv 1 7 % 65.83/66.01 9. (All B, ((B = (singleton T_0)) <=> (All C, ((in C B) <=> (C = T_0))))) (-. (in T_1 T_2)) (in T_0 T_2) (in T_1 (singleton T_0)) ### All 8 % 65.83/66.01 10. (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (in T_1 (singleton T_0)) (in T_0 T_2) (-. (in T_1 T_2)) ### All 9 % 65.83/66.01 11. (-. ((in T_1 (singleton T_0)) => (in T_1 T_2))) (in T_0 T_2) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotImply 10 % 65.83/66.01 12. (-. (All C, ((in C (singleton T_0)) => (in C T_2)))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (in T_0 T_2) ### NotAllEx 11 % 65.83/66.01 13. (-. (subset (singleton T_0) T_2)) (in T_0 T_2) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### Definition-Pseudo(subset) 12 % 65.83/66.01 14. ((singleton T_0) != (singleton T_0)) ### Refl(=) % 65.83/66.01 15. (T_0 != T_0) ### Refl(=) % 65.83/66.01 16. (-. (in T_0 (singleton T_0))) (in T_0 (singleton T_0)) ### Axiom % 65.83/66.01 17. ((in T_0 (singleton T_0)) <=> (T_0 = T_0)) (-. (in T_0 (singleton T_0))) ### Equiv 15 16 % 65.83/66.01 18. (All C, ((in C (singleton T_0)) <=> (C = T_0))) (-. (in T_0 (singleton T_0))) ### All 17 % 65.83/66.01 19. (((singleton T_0) = (singleton T_0)) <=> (All C, ((in C (singleton T_0)) <=> (C = T_0)))) (-. (in T_0 (singleton T_0))) ### Equiv 14 18 % 65.83/66.01 20. (All B, ((B = (singleton T_0)) <=> (All C, ((in C B) <=> (C = T_0))))) (-. (in T_0 (singleton T_0))) ### All 19 % 65.83/66.01 21. (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (-. (in T_0 (singleton T_0))) ### All 20 % 65.83/66.01 22. (-. (in T_0 T_2)) (in T_0 T_2) ### Axiom % 65.83/66.01 23. ((in T_0 (singleton T_0)) => (in T_0 T_2)) (-. (in T_0 T_2)) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### Imply 21 22 % 65.83/66.01 24. (All C, ((in C (singleton T_0)) => (in C T_2))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) (-. (in T_0 T_2)) ### All 23 % 65.83/66.01 25. (subset (singleton T_0) T_2) (-. (in T_0 T_2)) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### Definition-Pseudo(subset) 24 % 65.83/66.01 26. (-. ((subset (singleton T_0) T_2) <=> (in T_0 T_2))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotEquiv 13 25 % 65.83/66.01 27. (-. (All B, ((subset (singleton T_0) B) <=> (in T_0 B)))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotAllEx 26 % 65.83/66.01 28. (-. (All A, (All B, ((subset (singleton A) B) <=> (in A B))))) (All A, (All B, ((B = (singleton A)) <=> (All C, ((in C B) <=> (C = A)))))) ### NotAllEx 27 % 65.83/66.01 % SZS output end Proof % 65.83/66.01 (* END-PROOF *) %------------------------------------------------------------------------------