%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP023_1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 : 300s % DateTime : Wed Jun 3 08:24:47 AM UTC 2026 % Result : Theorem 0.38s 0.66s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP023_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:05:32 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.66 % SZS status Theorem % 0.38/0.66 % SZS output start Proof % 0.38/0.66 ( % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Erealax_2Ereal 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 0) % 0.38/0.66 (declare-sort tptp.du 0) % 0.38/0.66 (declare-sort tptp.u 0) % 0.38/0.66 (declare-sort tptp.d 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 0) % 0.38/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 0) % 0.38/0.66 (declare-const tptp.c_2Epred__set_2ESUBSET_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.66 (declare-const tptp.c_2Epred__set_2ESUBSET_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.c_2Epair_2E_2C_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.66 (declare-const tptp.c_2Epair_2E_2C_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ereal__topology_2Ecball_2E1 (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ereal__topology_2Ecball_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ereal__topology_2Eball_2E1 (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (declare-const tptp.tyop_2Epair_2Eprod (-> tptp.d tptp.d tptp.d)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.38/0.66 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.38/0.66 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.38/0.66 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.66 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Erealax_2Ereal (-> tptp.du tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.66 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.tyop_2Erealax_2Ereal tptp.d) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.du tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.66 (declare-const tptp.combin_k_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.combin_s_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.combin_i_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ereal__topology_2Eball_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.38/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 tptp.u)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 tptp.u)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.u)) % 0.38/0.66 (declare-const tptp.i_mono_2Etyop_2Erealax_2Ereal (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.u)) % 0.38/0.66 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.38/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29)) % 0.38/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Epred__set_2ESUBSET_2E0_2Emono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.38/0.66 (define @t2 () (@var "A_27b" tptp.d)) % 0.38/0.66 (define @t3 () (@var "A_27a" tptp.d)) % 0.38/0.66 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.38/0.66 (define @t5 () (tptp.s @t4 @t1)) % 0.38/0.66 (define @t6 () (@var "V0f_2E0" tptp.u)) % 0.38/0.66 (define @t7 () (tptp.s @t4 @t6)) % 0.38/0.66 (define @t8 () (@var "V2x_2E0" tptp.u)) % 0.38/0.66 (define @t9 () (tptp.s @t3 @t8)) % 0.38/0.66 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.38/0.66 (define @t11 () (@list @t8)) % 0.38/0.66 (define @t12 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t13 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t14 () (tptp.p @t12)) % 0.38/0.66 (define @t15 () (tptp.p @t13)) % 0.38/0.66 (define @t16 () (@list @t13 @t12)) % 0.38/0.66 (define @t17 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.38/0.66 (define @t18 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.38/0.66 (define @t19 () (not @t18)) % 0.38/0.66 (define @t20 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t21 () (= @t20 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.38/0.66 (define @t22 () (= @t20 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.38/0.66 (define @t23 () (@list @t20)) % 0.38/0.66 (define @t24 () (@var "V0x_2E0" tptp.u)) % 0.38/0.66 (define @t25 () (tptp.s @t3 @t24)) % 0.38/0.66 (define @t26 () (@var "V1y_2E0" tptp.u)) % 0.38/0.66 (define @t27 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.38/0.66 (define @t28 () (@var "A_27c" tptp.d)) % 0.38/0.66 (define @t29 () (tptp.tyop_2Emin_2Efun @t2 @t28)) % 0.38/0.66 (define @t30 () (tptp.tyop_2Emin_2Efun @t3 @t29)) % 0.38/0.66 (define @t31 () (tptp.s @t30 @t6)) % 0.38/0.66 (define @t32 () (tptp.tyop_2Emin_2Efun @t3 @t28)) % 0.38/0.66 (define @t33 () (tptp.tyop_2Emin_2Efun @t4 @t32)) % 0.38/0.66 (define @t34 () (@list @t13)) % 0.38/0.66 (define @t35 () (@var "V1_2E0" tptp.u)) % 0.38/0.66 (define @t36 () (tptp.s @t3 @t35)) % 0.38/0.66 (define @t37 () (@var "V0_2E0" tptp.u)) % 0.38/0.66 (define @t38 () (tptp.s @t3 @t37)) % 0.38/0.66 (define @t39 () (@var "V1x_2E0" tptp.u)) % 0.38/0.66 (define @t40 () (tptp.s @t3 @t39)) % 0.38/0.66 (define @t41 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.38/0.66 (define @t42 () (tptp.s @t41 @t6)) % 0.38/0.66 (define @t43 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t42 @t40))))) % 0.38/0.66 (define @t44 () (@list @t39)) % 0.38/0.66 (define @t45 () (@list @t3 @t6)) % 0.38/0.66 (define @t46 () (tptp.s tptp.tyop_2Emin_2Ebool @t37)) % 0.38/0.66 (define @t47 () (@list @t37)) % 0.38/0.66 (define @t48 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.38/0.66 (define @t49 () (tptp.s @t48 @t37)) % 0.38/0.66 (define @t50 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t48)) % 0.38/0.66 (define @t51 () (tptp.s @t50 @t37)) % 0.38/0.66 (define @t52 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal tptp.tyop_2Emin_2Ebool)) % 0.38/0.66 (define @t53 () (tptp.tyop_2Emin_2Efun @t52 tptp.tyop_2Emin_2Ebool)) % 0.38/0.66 (define @t54 () (tptp.s @t53 @t37)) % 0.38/0.66 (define @t55 () (tptp.tyop_2Emin_2Efun @t52 @t53)) % 0.38/0.66 (define @t56 () (tptp.s @t55 @t37)) % 0.38/0.66 (define @t57 () (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal)) % 0.38/0.66 (define @t58 () (tptp.tyop_2Emin_2Efun @t57 @t52)) % 0.38/0.66 (define @t59 () (tptp.s @t58 @t37)) % 0.38/0.66 (define @t60 () (tptp.s @t52 @t37)) % 0.38/0.66 (define @t61 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal @t57)) % 0.38/0.66 (define @t62 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal @t61)) % 0.38/0.66 (define @t63 () (tptp.s @t62 @t37)) % 0.38/0.66 (define @t64 () (tptp.s @t61 @t37)) % 0.38/0.66 (define @t65 () (tptp.s @t57 @t37)) % 0.38/0.66 (define @t66 () (tptp.s tptp.tyop_2Erealax_2Ereal @t37)) % 0.38/0.66 (define @t67 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t68 () (tptp.s @t48 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t67))) % 0.38/0.66 (define @t69 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.66 (define @t70 () (tptp.s @t50 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t69))) % 0.38/0.66 (define @t71 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t72 () (tptp.s @t53 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @t71))) % 0.38/0.66 (define @t73 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.66 (define @t74 () (tptp.s @t55 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @t73))) % 0.38/0.66 (define @t75 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.66 (define @t76 () (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @t75))) % 0.38/0.66 (define @t77 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t78 () (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @t77))) % 0.38/0.66 (define @t79 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29)) % 0.38/0.66 (define @t80 () (tptp.s @t62 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @t79))) % 0.38/0.66 (define @t81 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29)) % 0.38/0.66 (define @t82 () (tptp.s @t61 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t81))) % 0.38/0.66 (define @t83 () (@var "V0_2E0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.66 (define @t84 () (@var "V0_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.66 (define @t85 () (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal @t84))) % 0.38/0.66 (define @t86 () (@var "X0_2E0" tptp.u)) % 0.38/0.66 (define @t87 () (tptp.s @t41 @t86)) % 0.38/0.66 (define @t88 () (tptp.tyop_2Emin_2Efun @t41 tptp.tyop_2Emin_2Ebool)) % 0.38/0.66 (define @t89 () (@list @t3 @t86)) % 0.38/0.66 (define @t90 () (@var "X1_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.66 (define @t91 () (@var "X0_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.66 (define @t92 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t93 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t94 () (tptp.p @t92)) % 0.38/0.66 (define @t95 () (tptp.p @t93)) % 0.38/0.66 (define @t96 () (@list @t93 @t92)) % 0.38/0.66 (define @t97 () (@var "X1_2E0" tptp.u)) % 0.38/0.66 (define @t98 () (tptp.s @t3 @t97)) % 0.38/0.66 (define @t99 () (tptp.s @t3 @t86)) % 0.38/0.66 (define @t100 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t101 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t102 () (@var "X0_2E0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.66 (define @t103 () (@list @t102)) % 0.38/0.66 (define @t104 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) % 0.38/0.66 (define @t105 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t106 () (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @t105))) % 0.38/0.66 (define @t107 () (@var "V1_2E0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.66 (define @t108 () (@var "V1_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.66 (define @t109 () (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal @t108))) % 0.38/0.66 (define @t110 () (@var "V1t2_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t111 () (@var "V0t1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t112 () (tptp.p @t111)) % 0.38/0.66 (define @t113 () (tptp.p @t110)) % 0.38/0.66 (define @t114 () (tptp.p @t20)) % 0.38/0.66 (define @t115 () (not @t114)) % 0.38/0.66 (define @t116 () (=> @t114 @t18)) % 0.38/0.66 (define @t117 () (forall @t23 (= (not @t115) @t114))) % 0.38/0.66 (define @t118 () (tptp.s @t3 @t26)) % 0.38/0.66 (define @t119 () (@var "V0P_2E0" tptp.u)) % 0.38/0.66 (define @t120 () (tptp.s @t41 @t119)) % 0.38/0.66 (define @t121 () (@var "V2C_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t122 () (@var "V1B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t123 () (tptp.p @t122)) % 0.38/0.66 (define @t124 () (@var "V0A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t125 () (tptp.p @t124)) % 0.38/0.66 (define @t126 () (or @t125 @t123 (tptp.p @t121))) % 0.38/0.66 (define @t127 () (or @t125 @t123)) % 0.38/0.66 (define @t128 () (@list @t124 @t122)) % 0.38/0.66 (define @t129 () (not @t123)) % 0.38/0.66 (define @t130 () (not @t125)) % 0.38/0.66 (define @t131 () (@var "V1e_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.66 (define @t132 () (@var "V0x_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.66 (define @t133 () (tptp.mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @t132 @t131)) % 0.38/0.66 (define @t134 () (tptp.mono_2Ec_2Ereal__topology_2Ecball_2E1 @t133)) % 0.38/0.66 (define @t135 () (tptp.mono_2Ec_2Ereal__topology_2Eball_2E1 @t133)) % 0.38/0.66 (define @t136 () (@list @t132 @t131)) % 0.38/0.66 (define @t137 () (@var "V0s_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t138 () (tptp.p (tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @t137))) % 0.38/0.66 (define @t139 () (@var "V1t_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.66 (define @t140 () (tptp.p (tptp.mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal @t137 @t139))) % 0.38/0.66 (define @t141 () (tptp.p (tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @t139))) % 0.38/0.66 (define @t142 () (and @t141 @t140)) % 0.38/0.66 (define @t143 () (@list @t137 @t139)) % 0.38/0.66 (define @t144 () (forall @t143 (=> @t142 @t138))) % 0.38/0.66 (define @t145 () (=> @t130 @t18)) % 0.38/0.66 (define @t146 () (@list @t124)) % 0.38/0.66 (define @t147 () (@var "V0B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t148 () (tptp.p @t147)) % 0.38/0.66 (define @t149 () (=> (not @t148) @t18)) % 0.38/0.66 (define @t150 () (@var "V1A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t151 () (tptp.p @t150)) % 0.38/0.66 (define @t152 () (@list @t147 @t150)) % 0.38/0.66 (define @t153 () (@var "V2p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t154 () (tptp.p @t153)) % 0.38/0.66 (define @t155 () (not @t154)) % 0.38/0.66 (define @t156 () (@var "V1q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t157 () (tptp.p @t156)) % 0.38/0.66 (define @t158 () (not @t157)) % 0.38/0.66 (define @t159 () (@var "V0r_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t160 () (tptp.p @t159)) % 0.38/0.66 (define @t161 () (not @t160)) % 0.38/0.66 (define @t162 () (@list @t159 @t156 @t153)) % 0.38/0.66 (define @t163 () (or @t154 @t161)) % 0.38/0.66 (define @t164 () (@var "V1p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t165 () (tptp.p @t164)) % 0.38/0.66 (define @t166 () (@var "V0q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.66 (define @t167 () (tptp.p @t166)) % 0.38/0.66 (define @t168 () (not @t167)) % 0.38/0.66 (define @t169 () (forall @t136 (tptp.p (tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @t135)))) % 0.38/0.66 (define @t170 () (not @t140)) % 0.38/0.66 (define @t171 () (not @t141)) % 0.38/0.66 (define @t172 () (or @t171 @t170 @t138)) % 0.38/0.66 (define @t173 () (@quantifiers_skolemize @t169 1)) % 0.38/0.66 (define @t174 () (@quantifiers_skolemize @t169 0)) % 0.38/0.66 (define @t175 () (@list @t174 @t173)) % 0.38/0.66 (define @t176 () (tptp.mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @t174 @t173)) % 0.38/0.66 (define @t177 () (tptp.mono_2Ec_2Ereal__topology_2Eball_2E1 @t176)) % 0.38/0.66 (define @t178 () (tptp.p (tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @t177))) % 0.38/0.66 (define @t179 () (tptp.mono_2Ec_2Ereal__topology_2Ecball_2E1 @t176)) % 0.38/0.66 (define @t180 () (tptp.p (tptp.mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal @t177 @t179))) % 0.38/0.66 (define @t181 () (not @t180)) % 0.38/0.66 (define @t182 () (tptp.p (tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @t179))) % 0.38/0.66 (define @t183 () (not @t182)) % 0.38/0.66 (define @t184 () (or @t183 @t181 @t178)) % 0.38/0.66 (define @t185 () (not @t184)) % 0.38/0.66 (define @t186 () (forall @t143 @t172)) % 0.38/0.66 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall @t11 (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.38/0.66 (assume @p2 (forall @t16 (=> (= @t15 @t14) (= @t13 @t12)))) % 0.38/0.66 (assume @p3 @t17) % 0.38/0.66 (assume @p4 @t19) % 0.38/0.66 (assume @p5 (forall @t23 (or @t22 @t21))) % 0.38/0.66 (assume @p6 (forall (@list @t3 @t24) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t25)) @t25))) % 0.38/0.66 (assume @p7 (forall (@list @t3 @t2 @t24 @t26) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t27 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t27) tptp.combin_k_2E0) @t25)) (tptp.s @t2 @t26))) @t25))) % 0.38/0.66 (assume @p8 (forall (@list @t3 @t2 @t28 @t6 @t1 @t8) (= (tptp.s @t28 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 (tptp.s @t33 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t30 @t33) tptp.combin_s_2E0) @t31)) @t5)) @t9)) (tptp.s @t28 (tptp.app_2E2 (tptp.s @t29 (tptp.app_2E2 @t31 @t9)) @t10))))) % 0.38/0.66 (assume @p9 (forall @t16 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t13 @t12)) (and @t15 @t14)))) % 0.38/0.66 (assume @p10 (forall @t16 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t13 @t12)) (or @t15 @t14)))) % 0.38/0.66 (assume @p11 (forall @t34 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t13)) (not @t15)))) % 0.38/0.66 (assume @p12 (forall @t16 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t13 @t12)) (=> @t15 @t14)))) % 0.38/0.66 (assume @p13 (forall (@list @t3 @t37 @t35) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t38 @t36)))) (= @t38 @t36)))) % 0.38/0.66 (assume @p14 (forall @t45 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t42)))) (forall @t44 @t43)))) % 0.38/0.66 (assume @p15 (forall @t45 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t42)))) (exists @t44 @t43)))) % 0.38/0.66 (assume @p16 (forall @t47 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t46))) @t46))) % 0.38/0.66 (assume @p17 (forall @t47 (= (tptp.s @t48 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t49))) @t49))) % 0.38/0.66 (assume @p18 (forall @t47 (= (tptp.s @t50 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t51))) @t51))) % 0.38/0.66 (assume @p19 (forall @t47 (= (tptp.s @t53 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @t54))) @t54))) % 0.38/0.66 (assume @p20 (forall @t47 (= (tptp.s @t55 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @t56))) @t56))) % 0.38/0.66 (assume @p21 (forall @t47 (= (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @t59))) @t59))) % 0.38/0.66 (assume @p22 (forall @t47 (= (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @t60))) @t60))) % 0.38/0.66 (assume @p23 (forall @t47 (= (tptp.s @t62 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @t63))) @t63))) % 0.38/0.66 (assume @p24 (forall @t47 (= (tptp.s @t61 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t64))) @t64))) % 0.38/0.66 (assume @p25 (forall @t47 (= (tptp.s @t57 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t65))) @t65))) % 0.38/0.66 (assume @p26 (forall @t47 (= (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal (tptp.j_mono_2Etyop_2Erealax_2Ereal @t66))) @t66))) % 0.38/0.66 (assume @p27 (forall @t34 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t13))) @t13))) % 0.38/0.66 (assume @p28 (forall (@list @t67) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t68) @t67))) % 0.38/0.66 (assume @p29 (forall (@list @t69) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t70) @t69))) % 0.38/0.66 (assume @p30 (forall (@list @t71) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @t72) @t71))) % 0.38/0.66 (assume @p31 (forall (@list @t73) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @t74) @t73))) % 0.38/0.66 (assume @p32 (forall (@list @t75) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @t76) @t75))) % 0.38/0.66 (assume @p33 (forall (@list @t77) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @t78) @t77))) % 0.38/0.66 (assume @p34 (forall (@list @t79) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @t80) @t79))) % 0.38/0.66 (assume @p35 (forall (@list @t81) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t82) @t81))) % 0.38/0.66 (assume @p36 (forall (@list @t83) (= (tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.s @t57 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t83))) @t83))) % 0.38/0.66 (assume @p37 (forall (@list @t84) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal @t85) @t84))) % 0.38/0.66 (assume @p38 (forall @t89 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t87))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t88 tptp.c_2Ebool_2E_21_2E0) @t87)))))) % 0.38/0.66 (assume @p39 (forall (@list @t91 @t90) (= (tptp.mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @t91 @t90) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 tptp.mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @t91) @t90)))) % 0.38/0.66 (assume @p40 (forall @t96 (= (and @t95 @t94) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 @t93) @t92))))) % 0.38/0.66 (assume @p41 (forall (@list @t3 @t86 @t97) (= (= @t99 @t98) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t41 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t41) tptp.c_2Emin_2E_3D_2E0) @t99)) @t98))))))) % 0.38/0.66 (assume @p42 (forall @t96 (= (=> @t95 @t94) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 @t93) @t92))))) % 0.38/0.66 (assume @p43 (forall @t89 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t87))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t88 tptp.c_2Ebool_2E_3F_2E0) @t87)))))) % 0.38/0.66 (assume @p44 (forall (@list @t101 @t100) (= (tptp.mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal @t101 @t100) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Epred__set_2ESUBSET_2E0_2Emono_2Etyop_2Erealax_2Ereal @t101) @t100)))) % 0.38/0.66 (assume @p45 (forall @t96 (= (or @t95 @t94) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 @t93) @t92))))) % 0.38/0.66 (assume @p46 (forall @t103 (= (tptp.mono_2Ec_2Ereal__topology_2Eball_2E1 @t102) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ereal__topology_2Eball_2E0 @t102)))) % 0.38/0.66 (assume @p47 (forall (@list @t101) (= (tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @t101) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E0 @t101)))) % 0.38/0.66 (assume @p48 (forall @t103 (= (tptp.mono_2Ec_2Ereal__topology_2Ecball_2E1 @t102) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ereal__topology_2Ecball_2E0 @t102)))) % 0.38/0.66 (assume @p49 (forall (@list @t93) (= (not @t95) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t93))))) % 0.38/0.66 (assume @p50 (forall (@list @t67 @t12) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool @t67 @t12))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t68 @t104))))) % 0.38/0.66 (assume @p51 (forall (@list @t69 @t12) (= (tptp.s @t48 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t69 @t12))) (tptp.s @t48 (tptp.app_2E2 @t70 @t104))))) % 0.38/0.66 (assume @p52 (forall (@list @t71 @t105) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool @t71 @t105))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t72 @t106))))) % 0.38/0.66 (assume @p53 (forall (@list @t73 @t105) (= (tptp.s @t53 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @t73 @t105))) (tptp.s @t53 (tptp.app_2E2 @t74 @t106))))) % 0.38/0.66 (assume @p54 (forall (@list @t75 @t107) (= (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @t75 @t107))) (tptp.s @t52 (tptp.app_2E2 @t76 (tptp.s @t57 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t107))))))) % 0.38/0.66 (assume @p55 (forall (@list @t79 @t108) (= (tptp.s @t61 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t79 @t108))) (tptp.s @t61 (tptp.app_2E2 @t80 @t109))))) % 0.38/0.66 (assume @p56 (forall (@list @t81 @t108) (= (tptp.s @t57 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t81 @t108))) (tptp.s @t57 (tptp.app_2E2 @t82 @t109))))) % 0.38/0.66 (assume @p57 (= (tptp.s @t62 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 tptp.mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal)) (tptp.s @t62 tptp.c_2Epair_2E_2C_2E0))) % 0.38/0.66 (assume @p58 (forall (@list @t84 @t108) (= (tptp.s @t57 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @t84 @t108))) (tptp.s @t57 (tptp.c_2Epair_2E_2C_2E2 @t85 @t109))))) % 0.38/0.66 (assume @p59 (= (tptp.s @t55 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Ec_2Epred__set_2ESUBSET_2E0_2Emono_2Etyop_2Erealax_2Ereal)) (tptp.s @t55 tptp.c_2Epred__set_2ESUBSET_2E0))) % 0.38/0.66 (assume @p60 (forall (@list @t77 @t105) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal @t77 @t105))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 @t78 @t106))))) % 0.38/0.66 (assume @p61 (forall (@list @t111 @t110) (=> (=> @t112 @t113) (=> (=> @t113 @t112) (= @t111 @t110))))) % 0.38/0.66 (assume @p62 (forall @t23 (=> @t116 @t115))) % 0.38/0.66 (assume @p63 (forall @t23 (=> @t115 @t116))) % 0.38/0.66 (assume @p64 (forall @t23 (and (= (=> @t17 @t114) @t114) (= (=> @t114 @t17) @t17) (= (=> @t18 @t114) @t17) (= (=> @t114 @t114) @t17) (= @t116 @t115)))) % 0.38/0.66 (assume @p65 (and @t117 (= (not @t17) @t18) (= @t19 @t17))) % 0.38/0.66 (assume @p66 (forall (@list @t3 @t24 @t26) (= (= @t25 @t118) (= @t118 @t25)))) % 0.38/0.66 (assume @p67 (forall @t23 (and (= (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t20) @t114) (= @t22 @t114) (= (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t20) @t115) (= @t21 @t115)))) % 0.38/0.66 (assume @p68 (forall (@list @t3 @t119) (= (not (forall @t44 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t120 @t40)))))) (exists @t11 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t120 @t9))))))))) % 0.38/0.66 (assume @p69 (forall (@list @t124 @t122 @t121) (= @t126 @t126))) % 0.38/0.66 (assume @p70 (forall @t128 (= @t127 (or @t123 @t125)))) % 0.38/0.66 (assume @p71 (forall @t128 (and (= (not (and @t125 @t123)) (or @t130 @t129)) (= (not @t127) (and @t130 @t129))))) % 0.38/0.66 (assume @p72 (forall @t136 (tptp.p (tptp.mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal @t135 @t134)))) % 0.38/0.66 (assume @p73 @t144) % 0.38/0.66 (assume @p74 (forall @t136 (tptp.p (tptp.mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @t134)))) % 0.38/0.66 (assume @p75 @t117) % 0.38/0.66 (assume @p76 (forall @t146 (=> @t125 @t145))) % 0.38/0.66 (assume @p77 (forall @t152 (= (=> (not (or @t151 @t148)) @t18) (=> (=> @t151 @t18) @t149)))) % 0.38/0.66 (assume @p78 (forall @t152 (= (=> (not (or (not @t151) @t148)) @t18) (=> @t151 @t149)))) % 0.38/0.66 (assume @p79 (forall @t146 (=> @t145 (=> (=> @t125 @t18) @t18)))) % 0.38/0.66 (assume @p80 (forall @t162 (= (= @t154 (= @t156 @t159)) (and (or @t154 @t157 @t160) (or @t154 @t161 @t158) (or @t157 @t161 @t155) (or @t160 @t158 @t155))))) % 0.38/0.66 (assume @p81 (forall @t162 (= (= @t154 (and @t157 @t160)) (and (or @t154 @t158 @t161) (or @t157 @t155) (or @t160 @t155))))) % 0.38/0.66 (assume @p82 (forall @t162 (= (= @t154 (or @t157 @t160)) (and (or @t154 @t158) @t163 (or @t157 @t160 @t155))))) % 0.38/0.66 (assume @p83 (forall @t162 (= (= @t154 (=> @t157 @t160)) (and (or @t154 @t157) @t163 (or @t158 @t160 @t155))))) % 0.38/0.66 (assume @p84 (forall (@list @t166 @t164) (= (= @t165 @t168) (and (or @t165 @t167) (or @t168 (not @t165)))))) % 0.38/0.66 (assume @p85 (not @t169)) % 0.38/0.66 (assume @p86 true) % 0.38/0.66 (step @p87 :rule aci_norm :args ((= (or (or @t171 @t170) @t138) @t172))) % 0.38/0.66 (step @p88 :rule refl :args (@t138)) % 0.38/0.66 (step @p89 :rule bool-and-de-morgan :args (@t141 @t140 true)) % 0.38/0.66 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t142) @t138))) % 0.38/0.66 (step @p91 :rule trans :premises (@p90 @p87)) % 0.38/0.66 (step @p92 :rule bool-impl-elim :args (@t142 @t138)) % 0.38/0.66 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.66 (step @p94 :rule cong :premises (@p93) :args (@t144)) % 0.38/0.66 (step @p95 :rule eq_resolve :premises (@p73 @p94)) % 0.38/0.66 (step @p96 :rule instantiate :premises (@p74) :args (@t175)) % 0.38/0.66 (step @p97 :rule instantiate :premises (@p72) :args (@t175)) % 0.38/0.66 (step @p98 :rule skolemize :premises (@p85)) % 0.38/0.66 (step @p99 :rule cnf_or_pos :args (@t184)) % 0.38/0.66 (step @p100 :rule reordering :premises (@p99) :args ((or @t178 @t181 @t183 @t185))) % 0.38/0.66 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p97 @p96) :args (@t185 (@list true false false) (@list @t178 @t180 @t182))) % 0.38/0.66 (assume-push @p108 @t186) % 0.38/0.66 (step @p103 :rule instantiate :premises (@p95) :args ((@list @t177 @t179))) % 0.38/0.66 (step-pop @p109 :rule scope :premises (@p103)) % 0.38/0.66 (step @p104 :rule process_scope :premises (@p109) :args (@t184)) % 0.38/0.66 (step @p106 :rule implies_elim :premises (@p104)) % 0.38/0.66 (step @p107 false :rule chain_m_resolution :premises (@p106 @p101 @p95) :args (false (@list true false) (@list @t184 @t186))) % 0.38/0.66 ) % 0.38/0.66 % SZS output end Proof % 0.38/0.66 % cvc5 exiting %------------------------------------------------------------------------------