%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ITP020+1 : TPTP v8.1.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n023.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 : Sun Jul 17 00:42:10 EDT 2022 % Result : Theorem 1.20s 1.43s % Output : Proof 1.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : ITP020+1 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n023.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 : Fri Jun 3 21:10:10 EDT 2022 % 0.12/0.34 % CPUTime : % 1.20/1.43 % SZS status Theorem % 1.20/1.43 (* PROOF-FOUND *) % 1.20/1.43 (* BEGIN-PROOF *) % 1.20/1.43 % SZS output start Proof % 1.20/1.43 1. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))) (-. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))) ### Axiom % 1.20/1.43 2. (-. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))))) (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))))) ### Axiom % 1.20/1.43 3. ((Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))) <=> (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))))) (-. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))))) (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))) ### Equiv 1 2 % 1.20/1.43 4. (All V1t_2E0, ((Ex V2f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V2f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (Ex V3g_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V3g_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) V1t_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))))))) (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))) (-. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))))) ### All 3 % 1.20/1.43 5. (All V0s_2E0, (All V1t_2E0, ((Ex V2f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V2f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (Ex V3g_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V3g_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) V1t_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) V0s_2E0)))))))) (-. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))))) (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))) ### All 4 % 1.20/1.44 6. (All A_27b, (All V0s_2E0, (All V1t_2E0, ((Ex V2f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) A_27b) V2f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (Ex V3g_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun A_27b (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V3g_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) V0s_2E0))))))))) (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))) (-. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))))) ### All 5 % 1.20/1.44 7. (All A_27a, (All A_27b, (All V0s_2E0, (All V1t_2E0, ((Ex V2f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun A_27a A_27b) V2f_2E0) (s (tyop_2Emin_2Efun A_27a (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (Ex V3g_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun A_27b A_27a) V3g_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0) (s (tyop_2Emin_2Efun A_27a (tyop_2Emin_2Ebool)) V0s_2E0)))))))))) (-. (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum))) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0))))))))) (Ex V0f_2E0, (p (s (tyop_2Emin_2Ebool) (c_2Epred__set_2EBIJ_2E3 (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Enum_2Enum)) V0f_2E0) (s (tyop_2Emin_2Efun (tyop_2Epair_2Eprod (tyop_2Enum_2Enum) (tyop_2Enum_2Enum)) (tyop_2Emin_2Ebool)) (c_2Epred__set_2ECROSS_2E2 (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))) (s (tyop_2Emin_2Efun (tyop_2Enum_2Enum) (tyop_2Emin_2Ebool)) (c_2Epred__set_2EUNIV_2E0)))))) ### All 6 % 1.20/1.44 % SZS output end Proof % 1.20/1.44 (* END-PROOF *) %------------------------------------------------------------------------------