%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP021_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 : n014.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 08:24:44 AM UTC 2026 % Result : Theorem 34.72s 34.95s % Output : Proof 34.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP021_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n014.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 : 300 % 0.14/0.34 % DateTime : Tue Jun 2 04:02:28 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.72/34.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.72/34.95 --- Run --no-e-matching --full-saturate-quant at 6... % 34.72/34.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.72/34.95 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.72/34.95 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.72/34.95 % SZS status Theorem % 34.72/34.95 % SZS output start Proof % 34.72/34.95 ( % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 0) % 34.72/34.95 (declare-sort tptp.du 0) % 34.72/34.95 (declare-sort tptp.u 0) % 34.72/34.95 (declare-sort tptp.d 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Eextreal_2Eextreal 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 0) % 34.72/34.95 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 0) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29) % 34.72/34.95 (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) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29)) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29) % 34.72/34.95 (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) % 34.72/34.95 (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) % 34.72/34.95 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 34.72/34.95 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 tptp.u)) % 34.72/34.95 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) % 34.72/34.95 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29)) % 34.72/34.95 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 34.72/34.95 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29)) % 34.72/34.95 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 34.72/34.95 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 tptp.u)) % 34.72/34.95 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29)) % 34.72/34.95 (declare-const tptp.c_2Ebool_2ECOND_2E0 tptp.u) % 34.72/34.95 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 34.72/34.95 (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)) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (declare-const tptp.combin_s_2E0 tptp.u) % 34.72/34.95 (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)) % 34.72/34.95 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29)) % 34.72/34.95 (declare-const tptp.combin_k_2E0 tptp.u) % 34.72/34.95 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 34.72/34.95 (declare-const tptp.combin_i_2E0 tptp.u) % 34.72/34.95 (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)) % 34.72/34.95 (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)) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__max_2E2 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 34.72/34.95 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__max_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29) % 34.72/34.95 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 34.72/34.95 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 34.72/34.95 (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)) % 34.72/34.95 (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)) % 34.72/34.95 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 34.72/34.95 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 34.72/34.95 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 34.72/34.95 (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)) % 34.72/34.95 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 34.72/34.95 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 34.72/34.95 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 34.72/34.95 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 34.72/34.95 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 tptp.u)) % 34.72/34.95 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 34.72/34.95 (declare-const tptp.tyop_2Eextreal_2Eextreal tptp.d) % 34.72/34.95 (declare-const tptp.j_mono_2Etyop_2Eextreal_2Eextreal (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (declare-const tptp.i_mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u)) % 34.72/34.95 (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)) % 34.72/34.95 (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)) % 34.72/34.95 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29)) % 34.72/34.95 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) % 34.72/34.95 (define @t1 () (@var "V1g_2E0" tptp.u)) % 34.72/34.95 (define @t2 () (@var "A_27b" tptp.d)) % 34.72/34.95 (define @t3 () (@var "A_27a" tptp.d)) % 34.72/34.95 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 34.72/34.95 (define @t5 () (tptp.s @t4 @t1)) % 34.72/34.95 (define @t6 () (@var "V0f_2E0" tptp.u)) % 34.72/34.95 (define @t7 () (tptp.s @t4 @t6)) % 34.72/34.95 (define @t8 () (@var "V2x_2E0" tptp.u)) % 34.72/34.95 (define @t9 () (tptp.s @t3 @t8)) % 34.72/34.95 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 34.72/34.95 (define @t11 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t12 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t13 () (tptp.p @t11)) % 34.72/34.95 (define @t14 () (tptp.p @t12)) % 34.72/34.95 (define @t15 () (@list @t12 @t11)) % 34.72/34.95 (define @t16 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 34.72/34.95 (define @t17 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 34.72/34.95 (define @t18 () (not @t17)) % 34.72/34.95 (define @t19 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t20 () (= @t19 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 34.72/34.95 (define @t21 () (= @t19 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 34.72/34.95 (define @t22 () (or @t21 @t20)) % 34.72/34.95 (define @t23 () (@list @t19)) % 34.72/34.95 (define @t24 () (forall @t23 @t22)) % 34.72/34.95 (define @t25 () (@var "V0x_2E0" tptp.u)) % 34.72/34.95 (define @t26 () (tptp.s @t3 @t25)) % 34.72/34.95 (define @t27 () (tptp.tyop_2Emin_2Efun @t3 @t3)) % 34.72/34.95 (define @t28 () (@var "V1y_2E0" tptp.u)) % 34.72/34.95 (define @t29 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 34.72/34.95 (define @t30 () (@var "A_27c" tptp.d)) % 34.72/34.95 (define @t31 () (tptp.tyop_2Emin_2Efun @t2 @t30)) % 34.72/34.95 (define @t32 () (tptp.tyop_2Emin_2Efun @t3 @t31)) % 34.72/34.95 (define @t33 () (tptp.s @t32 @t6)) % 34.72/34.95 (define @t34 () (tptp.tyop_2Emin_2Efun @t3 @t30)) % 34.72/34.95 (define @t35 () (tptp.tyop_2Emin_2Efun @t4 @t34)) % 34.72/34.95 (define @t36 () (@list @t12)) % 34.72/34.95 (define @t37 () (@var "V1_2E0" tptp.u)) % 34.72/34.95 (define @t38 () (tptp.s @t3 @t37)) % 34.72/34.95 (define @t39 () (@var "V0_2E0" tptp.u)) % 34.72/34.95 (define @t40 () (tptp.s @t3 @t39)) % 34.72/34.95 (define @t41 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t40 @t38))))) % 34.72/34.95 (define @t42 () (= @t41 (= @t40 @t38))) % 34.72/34.95 (define @t43 () (@list @t3 @t39 @t37)) % 34.72/34.95 (define @t44 () (forall @t43 @t42)) % 34.72/34.95 (define @t45 () (@var "V1x_2E0" tptp.u)) % 34.72/34.95 (define @t46 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (define @t47 () (tptp.s @t46 @t6)) % 34.72/34.95 (define @t48 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t47 (tptp.s @t3 @t45)))))) % 34.72/34.95 (define @t49 () (@list @t45)) % 34.72/34.95 (define @t50 () (@list @t3 @t6)) % 34.72/34.95 (define @t51 () (tptp.s tptp.tyop_2Emin_2Ebool @t39)) % 34.72/34.95 (define @t52 () (@list @t39)) % 34.72/34.95 (define @t53 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t39)) % 34.72/34.95 (define @t54 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (define @t55 () (tptp.s @t54 @t39)) % 34.72/34.95 (define @t56 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t54)) % 34.72/34.95 (define @t57 () (tptp.s @t56 @t39)) % 34.72/34.95 (define @t58 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal tptp.tyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t59 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal @t58)) % 34.72/34.95 (define @t60 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t59)) % 34.72/34.95 (define @t61 () (tptp.s @t60 @t39)) % 34.72/34.95 (define @t62 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (define @t63 () (tptp.s @t62 @t39)) % 34.72/34.95 (define @t64 () (tptp.s @t58 @t39)) % 34.72/34.95 (define @t65 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal @t62)) % 34.72/34.95 (define @t66 () (tptp.s @t65 @t39)) % 34.72/34.95 (define @t67 () (tptp.s @t59 @t39)) % 34.72/34.95 (define @t68 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) % 34.72/34.95 (define @t69 () (@var "V0_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t70 () (tptp.j_mono_2Etyop_2Eextreal_2Eextreal (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t69)))) % 34.72/34.95 (define @t71 () (forall (@list @t69) (= @t70 @t69))) % 34.72/34.95 (define @t72 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 34.72/34.95 (define @t73 () (tptp.s @t54 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t72))) % 34.72/34.95 (define @t74 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 34.72/34.95 (define @t75 () (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t74))) % 34.72/34.95 (define @t76 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29)) % 34.72/34.95 (define @t77 () (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t76))) % 34.72/34.95 (define @t78 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) % 34.72/34.95 (define @t79 () (tptp.s @t62 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t78))) % 34.72/34.95 (define @t80 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29)) % 34.72/34.95 (define @t81 () (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t80))) % 34.72/34.95 (define @t82 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29)) % 34.72/34.95 (define @t83 () (tptp.s @t65 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t82))) % 34.72/34.95 (define @t84 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29)) % 34.72/34.95 (define @t85 () (tptp.s @t59 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t84))) % 34.72/34.95 (define @t86 () (@var "X0_2E0" tptp.u)) % 34.72/34.95 (define @t87 () (tptp.s @t46 @t86)) % 34.72/34.95 (define @t88 () (tptp.tyop_2Emin_2Efun @t46 tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (define @t89 () (@list @t3 @t86)) % 34.72/34.95 (define @t90 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t91 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t92 () (tptp.p @t90)) % 34.72/34.95 (define @t93 () (tptp.p @t91)) % 34.72/34.95 (define @t94 () (@list @t91 @t90)) % 34.72/34.95 (define @t95 () (@var "X1_2E0" tptp.u)) % 34.72/34.95 (define @t96 () (tptp.s @t3 @t95)) % 34.72/34.95 (define @t97 () (tptp.s @t3 @t86)) % 34.72/34.95 (define @t98 () (@var "X2_2E0" tptp.u)) % 34.72/34.95 (define @t99 () (tptp.s @t3 @t98)) % 34.72/34.95 (define @t100 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t91))) % 34.72/34.95 (define @t101 () (tptp.tyop_2Emin_2Efun @t3 @t27)) % 34.72/34.95 (define @t102 () (@var "X2_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t103 () (@var "X1_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t104 () (@var "X0_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t105 () (@list @t104 @t103)) % 34.72/34.95 (define @t106 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t11))) % 34.72/34.95 (define @t107 () (@var "V1_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t108 () (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t107))) % 34.72/34.95 (define @t109 () (tptp.s @t60 tptp.c_2Ebool_2ECOND_2E0)) % 34.72/34.95 (define @t110 () (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 tptp.mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t111 () (tptp.s @t60 @t110)) % 34.72/34.95 (define @t112 () (= @t111 @t109)) % 34.72/34.95 (define @t113 () (@var "V2_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t114 () (forall (@list @t12 @t107 @t113) (= (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.i_mono_2Etyop_2Eextreal_2Eextreal (tptp.mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal @t12 @t107 @t113))) (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t68 @t108 (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t113))))))) % 34.72/34.95 (define @t115 () (@var "V1t2_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t116 () (@var "V0t1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t117 () (tptp.p @t116)) % 34.72/34.95 (define @t118 () (tptp.p @t115)) % 34.72/34.95 (define @t119 () (tptp.p @t19)) % 34.72/34.95 (define @t120 () (=> @t17 @t119)) % 34.72/34.95 (define @t121 () (not @t119)) % 34.72/34.95 (define @t122 () (=> @t119 @t17)) % 34.72/34.95 (define @t123 () (forall @t23 (= (not @t121) @t119))) % 34.72/34.95 (define @t124 () (tptp.s @t3 @t28)) % 34.72/34.95 (define @t125 () (= @t20 @t121)) % 34.72/34.95 (define @t126 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t19)) % 34.72/34.95 (define @t127 () (= @t21 @t119)) % 34.72/34.95 (define @t128 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t19)) % 34.72/34.95 (define @t129 () (and (= @t128 @t119) @t127 (= @t126 @t121) @t125)) % 34.72/34.95 (define @t130 () (forall @t23 @t129)) % 34.72/34.95 (define @t131 () (@var "V1t2_2E0" tptp.u)) % 34.72/34.95 (define @t132 () (tptp.s @t3 @t131)) % 34.72/34.95 (define @t133 () (@var "V0t1_2E0" tptp.u)) % 34.72/34.95 (define @t134 () (tptp.s @t3 @t133)) % 34.72/34.95 (define @t135 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF_2E0))) % 34.72/34.95 (define @t136 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t135 @t134 @t132))) % 34.72/34.95 (define @t137 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET_2E0)) % 34.72/34.95 (define @t138 () (tptp.s tptp.tyop_2Emin_2Ebool @t137)) % 34.72/34.95 (define @t139 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t138 @t134 @t132))) % 34.72/34.95 (define @t140 () (and (= @t139 @t134) (= @t136 @t132))) % 34.72/34.95 (define @t141 () (@list @t3 @t133 @t131)) % 34.72/34.95 (define @t142 () (forall @t141 @t140)) % 34.72/34.95 (define @t143 () (@var "V2C_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t144 () (@var "V1B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t145 () (tptp.p @t144)) % 34.72/34.95 (define @t146 () (@var "V0A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t147 () (tptp.p @t146)) % 34.72/34.95 (define @t148 () (or @t147 @t145 (tptp.p @t143))) % 34.72/34.95 (define @t149 () (or @t147 @t145)) % 34.72/34.95 (define @t150 () (@list @t146 @t144)) % 34.72/34.95 (define @t151 () (not @t145)) % 34.72/34.95 (define @t152 () (not @t147)) % 34.72/34.95 (define @t153 () (@var "V2z_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t154 () (@var "V0x_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t155 () (tptp.p (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t154 @t153))) % 34.72/34.95 (define @t156 () (@var "V1y_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t157 () (tptp.p (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t156 @t153))) % 34.72/34.95 (define @t158 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t154 @t156)) % 34.72/34.95 (define @t159 () (tptp.p @t158)) % 34.72/34.95 (define @t160 () (and @t159 @t157)) % 34.72/34.95 (define @t161 () (forall (@list @t154 @t156 @t153) (=> @t160 @t155))) % 34.72/34.95 (define @t162 () (@list @t154 @t156)) % 34.72/34.95 (define @t163 () (=> @t152 @t17)) % 34.72/34.95 (define @t164 () (@list @t146)) % 34.72/34.95 (define @t165 () (@var "V0B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t166 () (tptp.p @t165)) % 34.72/34.95 (define @t167 () (=> (not @t166) @t17)) % 34.72/34.95 (define @t168 () (@var "V1A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t169 () (tptp.p @t168)) % 34.72/34.95 (define @t170 () (@list @t165 @t168)) % 34.72/34.95 (define @t171 () (@var "V2p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t172 () (tptp.p @t171)) % 34.72/34.95 (define @t173 () (not @t172)) % 34.72/34.95 (define @t174 () (@var "V1q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t175 () (tptp.p @t174)) % 34.72/34.95 (define @t176 () (not @t175)) % 34.72/34.95 (define @t177 () (@var "V0r_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t178 () (tptp.p @t177)) % 34.72/34.95 (define @t179 () (not @t178)) % 34.72/34.95 (define @t180 () (@list @t177 @t174 @t171)) % 34.72/34.95 (define @t181 () (or @t172 @t179)) % 34.72/34.95 (define @t182 () (@var "V1p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t183 () (tptp.p @t182)) % 34.72/34.95 (define @t184 () (@var "V0q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t185 () (tptp.p @t184)) % 34.72/34.95 (define @t186 () (not @t185)) % 34.72/34.95 (define @t187 () (@var "V0z_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t188 () (@var "V2y_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t189 () (@var "V1x_2E0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 34.72/34.95 (define @t190 () (forall (@list @t187 @t189 @t188) (= (tptp.p (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 (tptp.mono_2Ec_2Eextreal_2Eextreal__max_2E2 @t189 @t188) @t187)) (and (tptp.p (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t189 @t187)) (tptp.p (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t188 @t187)))))) % 34.72/34.95 (define @t191 () (@quantifiers_skolemize @t190 2)) % 34.72/34.95 (define @t192 () (@quantifiers_skolemize @t190 1)) % 34.72/34.95 (define @t193 () (@list @t192 @t191)) % 34.72/34.95 (define @t194 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t192 @t191)) % 34.72/34.95 (define @t195 () (= @t132 @t136)) % 34.72/34.95 (define @t196 () (forall @t141 @t195)) % 34.72/34.95 (define @t197 () (@list @t3 @t133 @t131)) % 34.72/34.95 (define @t198 () (= @t134 @t139)) % 34.72/34.95 (define @t199 () (forall @t141 @t198)) % 34.72/34.95 (define @t200 () (and @t199 @t196)) % 34.72/34.95 (define @t201 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t192)) % 34.72/34.95 (define @t202 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t191)) % 34.72/34.95 (define @t203 () (@list tptp.tyop_2Eextreal_2Eextreal @t202 @t201)) % 34.72/34.95 (define @t204 () (tptp.mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal @t194 @t191 @t192)) % 34.72/34.95 (define @t205 () (@quantifiers_skolemize @t190 0)) % 34.72/34.95 (define @t206 () (tptp.mono_2Ec_2Eextreal_2Eextreal__max_2E2 @t192 @t191)) % 34.72/34.95 (define @t207 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t206 @t205)) % 34.72/34.95 (define @t208 () (@list @t207)) % 34.72/34.95 (define @t209 () (= @t121 @t126)) % 34.72/34.95 (define @t210 () (forall @t23 @t209)) % 34.72/34.95 (define @t211 () (@list @t19)) % 34.72/34.95 (define @t212 () (@var "BOUND_VARIABLE_8383" tptp.mono_2Etyop_2Emin_2Ebool)) % 34.72/34.95 (define @t213 () (= @t119 @t128)) % 34.72/34.95 (define @t214 () (forall @t23 @t213)) % 34.72/34.95 (define @t215 () (and @t214 @t210)) % 34.72/34.95 (define @t216 () (and @t213 @t209)) % 34.72/34.95 (define @t217 () (and @t213 @t213 @t209 @t209)) % 34.72/34.95 (define @t218 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t191 @t205)) % 34.72/34.95 (define @t219 () (tptp.p @t218)) % 34.72/34.95 (define @t220 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t192 @t205)) % 34.72/34.95 (define @t221 () (tptp.p @t220)) % 34.72/34.95 (define @t222 () (and @t221 @t219)) % 34.72/34.95 (define @t223 () (tptp.p @t207)) % 34.72/34.95 (define @t224 () (= @t223 @t222)) % 34.72/34.95 (define @t225 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t207)) % 34.72/34.95 (define @t226 () (= @t223 @t225)) % 34.72/34.95 (define @t227 () (not @t226)) % 34.72/34.95 (define @t228 () (not @t223)) % 34.72/34.95 (define @t229 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t220)) % 34.72/34.95 (define @t230 () (not @t221)) % 34.72/34.95 (define @t231 () (= @t230 @t229)) % 34.72/34.95 (define @t232 () (not @t231)) % 34.72/34.95 (define @t233 () (forall (@list @t212) (= (not (tptp.p @t212)) (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t212)))) % 34.72/34.95 (define @t234 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t109 @t109))))) % 34.72/34.95 (define @t235 () (= @t234 (= @t109 @t109))) % 34.72/34.95 (define @t236 () (forall @t43 (= @t41 (= @t38 @t40)))) % 34.72/34.95 (define @t237 () (@list false)) % 34.72/34.95 (define @t238 () (@list @t236)) % 34.72/34.95 (define @t239 () (tptp.c_2Emin_2E_3D_2E2 @t111 @t111)) % 34.72/34.95 (define @t240 () (tptp.s tptp.tyop_2Emin_2Ebool @t239)) % 34.72/34.95 (define @t241 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t240)) % 34.72/34.95 (define @t242 () (tptp.p @t241)) % 34.72/34.95 (define @t243 () (= @t242 (= @t111 @t111))) % 34.72/34.95 (define @t244 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t241)) % 34.72/34.95 (define @t245 () (= @t242 @t244)) % 34.72/34.95 (define @t246 () (@list false false)) % 34.72/34.95 (define @t247 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t194)) % 34.72/34.95 (define @t248 () (tptp.p @t194)) % 34.72/34.95 (define @t249 () (and @t112 @t234 @t244 @t247)) % 34.72/34.95 (define @t250 () (@list @t220 @t205 @t192)) % 34.72/34.95 (define @t251 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t205)) % 34.72/34.95 (define @t252 () (tptp.mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal @t220 @t205 @t192)) % 34.72/34.95 (define @t253 () (tptp.mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Ec_2Ebool_2ET_2E0 @t191 @t252)) % 34.72/34.95 (define @t254 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t253)) % 34.72/34.95 (define @t255 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t254)) % 34.72/34.95 (define @t256 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t252)) % 34.72/34.95 (define @t257 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t256)) % 34.72/34.95 (define @t258 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t202)) % 34.72/34.95 (define @t259 () (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t138 @t258 @t257))) % 34.72/34.95 (define @t260 () (= @t255 @t259)) % 34.72/34.95 (define @t261 () (@list tptp.mono_2Ec_2Ebool_2ET_2E0 @t191 @t252)) % 34.72/34.95 (define @t262 () (= @t259 @t255)) % 34.72/34.95 (define @t263 () (= @t206 @t204)) % 34.72/34.95 (define @t264 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t201)) % 34.72/34.95 (define @t265 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t251)) % 34.72/34.95 (define @t266 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t220)) % 34.72/34.95 (define @t267 () (tptp.s tptp.tyop_2Emin_2Ebool @t266)) % 34.72/34.95 (define @t268 () (tptp.c_2Ebool_2ECOND_2E3 @t267 @t265 @t264)) % 34.72/34.95 (define @t269 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t268)) % 34.72/34.95 (define @t270 () (= @t257 @t269)) % 34.72/34.95 (define @t271 () (tptp.c_2Ebool_2ECOND_2E3 @t138 @t258 @t264)) % 34.72/34.95 (define @t272 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t271)) % 34.72/34.95 (define @t273 () (= @t258 @t272)) % 34.72/34.95 (define @t274 () (= @t264 (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t135 @t265 @t264)))) % 34.72/34.95 (define @t275 () (= @t192 (tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t264))) % 34.72/34.95 (define @t276 () (tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t258)) % 34.72/34.95 (define @t277 () (= @t191 @t276)) % 34.72/34.95 (define @t278 () (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t204))) % 34.72/34.95 (define @t279 () (tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t278)) % 34.72/34.95 (define @t280 () (= @t204 @t279)) % 34.72/34.95 (define @t281 () (tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t257)) % 34.72/34.95 (define @t282 () (= @t252 @t281)) % 34.72/34.95 (define @t283 () (and @t112 @t229 @t225 @t234 @t263 @t244 @t247 @t270 @t273 @t274 @t275 @t277 @t280 @t282 @t262)) % 34.72/34.95 (define @t284 () (not @t262)) % 34.72/34.95 (define @t285 () (not @t280)) % 34.72/34.95 (define @t286 () (not @t277)) % 34.72/34.95 (define @t287 () (not @t275)) % 34.72/34.95 (define @t288 () (not @t274)) % 34.72/34.95 (define @t289 () (not @t273)) % 34.72/34.95 (define @t290 () (not @t270)) % 34.72/34.95 (define @t291 () (not @t247)) % 34.72/34.95 (define @t292 () (not @t244)) % 34.72/34.95 (define @t293 () (not @t263)) % 34.72/34.95 (define @t294 () (not @t234)) % 34.72/34.95 (define @t295 () (not @t225)) % 34.72/34.95 (define @t296 () (not @t229)) % 34.72/34.95 (define @t297 () (not @t112)) % 34.72/34.95 (define @t298 () (not @t157)) % 34.72/34.95 (define @t299 () (not @t159)) % 34.72/34.95 (define @t300 () (not @t219)) % 34.72/34.95 (define @t301 () (not @t248)) % 34.72/34.95 (define @t302 () (or @t301 @t300 @t221)) % 34.72/34.95 (define @t303 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t194)) % 34.72/34.95 (define @t304 () (or @t247 @t303)) % 34.72/34.95 (define @t305 () (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 tptp.mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal @t220) @t205)) % 34.72/34.95 (define @t306 () (tptp.app_2E2 (tptp.s @t58 (tptp.app_2E2 (tptp.s @t59 (tptp.app_2E2 @t109 @t138)) @t258)) @t257)) % 34.72/34.95 (define @t307 () (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal @t305 @t192)) % 34.72/34.95 (define @t308 () (= @t252 @t307)) % 34.72/34.95 (define @t309 () (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E0 @t192) @t191)) % 34.72/34.95 (define @t310 () (= @t194 @t309)) % 34.72/34.95 (define @t311 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t194)) % 34.72/34.95 (define @t312 () (tptp.s tptp.tyop_2Emin_2Ebool @t311)) % 34.72/34.95 (define @t313 () (tptp.c_2Ebool_2ECOND_2E3 @t312 @t258 @t264)) % 34.72/34.95 (define @t314 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t313)) % 34.72/34.95 (define @t315 () (= @t278 @t314)) % 34.72/34.95 (define @t316 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t306)) % 34.72/34.95 (define @t317 () (= @t259 @t316)) % 34.72/34.95 (define @t318 () (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.app_2E2 (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t305)) @t264))) % 34.72/34.95 (define @t319 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t307)) % 34.72/34.95 (define @t320 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t319)) % 34.72/34.95 (define @t321 () (= @t320 @t318)) % 34.72/34.95 (define @t322 () (= @t269 (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t135 @t316 @t269)))) % 34.72/34.95 (define @t323 () (tptp.c_2Ebool_2ECOND_2E3 @t135 @t255 @t318)) % 34.72/34.95 (define @t324 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t309)) % 34.72/34.95 (define @t325 () (tptp.s tptp.tyop_2Emin_2Ebool @t324)) % 34.72/34.95 (define @t326 () (and @t229 @t225 @t263 @t303 @t308 @t310 @t270 @t315 @t273 @t274 @t275 @t280 @t317 @t321 @t262 @t322)) % 34.72/34.95 (define @t327 () (not @t315)) % 34.72/34.95 (define @t328 () (not @t310)) % 34.72/34.95 (define @t329 () (not @t303)) % 34.72/34.95 (define @t330 () (and @t234 @t112 @t244 @t225 @t263 @t280 @t315 @t310 @t247 @t273 @t277 @t300)) % 34.72/34.95 (define @t331 () (tptp.p (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t205 @t191))) % 34.72/34.95 (define @t332 () (or @t331 @t219)) % 34.72/34.95 (define @t333 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t206 @t191)) % 34.72/34.95 (define @t334 () (tptp.p @t333)) % 34.72/34.95 (define @t335 () (not @t331)) % 34.72/34.95 (define @t336 () (or @t228 @t335 @t334)) % 34.72/34.95 (define @t337 () (not @t334)) % 34.72/34.95 (define @t338 () (= @t264 (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t135 @t258 @t264)))) % 34.72/34.95 (define @t339 () (not @t338)) % 34.72/34.95 (define @t340 () (not @t18)) % 34.72/34.95 (define @t341 () (tptp.c_2Ebool_2ECOND_2E3 @t135 @t272 @t264)) % 34.72/34.95 (define @t342 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t341)) % 34.72/34.95 (define @t343 () (and @t18 @t263 @t303 @t315 @t273 @t275 @t280 @t338)) % 34.72/34.95 (define @t344 () (@list true false)) % 34.72/34.95 (define @t345 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t207)) % 34.72/34.95 (define @t346 () (or @t225 @t345)) % 34.72/34.95 (define @t347 () (not @t222)) % 34.72/34.95 (define @t348 () (@list @t222)) % 34.72/34.95 (define @t349 () (not @t345)) % 34.72/34.95 (define @t350 () (and @t18 @t345 @t263 @t280 @t315 @t310 @t247 @t273 @t277 @t219)) % 34.72/34.95 (define @t351 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t207)) % 34.72/34.95 (define @t352 () (and @t345 @t263 @t303 @t310 @t315 @t273 @t275 @t280 @t338)) % 34.72/34.95 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 34.72/34.95 (assume @p2 (forall @t15 (=> (= @t14 @t13) (= @t12 @t11)))) % 34.72/34.95 (assume @p3 @t16) % 34.72/34.95 (assume @p4 @t18) % 34.72/34.95 (assume @p5 @t24) % 34.72/34.95 (assume @p6 (forall (@list @t3 @t25) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t27 tptp.combin_i_2E0) @t26)) @t26))) % 34.72/34.95 (assume @p7 (forall (@list @t3 @t2 @t25 @t28) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t29 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t29) tptp.combin_k_2E0) @t26)) (tptp.s @t2 @t28))) @t26))) % 34.72/34.95 (assume @p8 (forall (@list @t3 @t2 @t30 @t6 @t1 @t8) (= (tptp.s @t30 (tptp.app_2E2 (tptp.s @t34 (tptp.app_2E2 (tptp.s @t35 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t32 @t35) tptp.combin_s_2E0) @t33)) @t5)) @t9)) (tptp.s @t30 (tptp.app_2E2 (tptp.s @t31 (tptp.app_2E2 @t33 @t9)) @t10))))) % 34.72/34.95 (assume @p9 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t12 @t11)) (and @t14 @t13)))) % 34.72/34.95 (assume @p10 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t12 @t11)) (or @t14 @t13)))) % 34.72/34.95 (assume @p11 (forall @t36 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t12)) (not @t14)))) % 34.72/34.95 (assume @p12 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t12 @t11)) (=> @t14 @t13)))) % 34.72/34.95 (assume @p13 @t44) % 34.72/34.95 (assume @p14 (forall @t50 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t47)))) (forall @t49 @t48)))) % 34.72/34.95 (assume @p15 (forall @t50 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t47)))) (exists @t49 @t48)))) % 34.72/34.95 (assume @p16 (forall @t52 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t51))) @t51))) % 34.72/34.95 (assume @p17 (forall @t52 (= (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.i_mono_2Etyop_2Eextreal_2Eextreal (tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t53))) @t53))) % 34.72/34.95 (assume @p18 (forall @t52 (= (tptp.s @t54 (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 @t55))) @t55))) % 34.72/34.95 (assume @p19 (forall @t52 (= (tptp.s @t56 (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 @t57))) @t57))) % 34.72/34.95 (assume @p20 (forall @t52 (= (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t61))) @t61))) % 34.72/34.95 (assume @p21 (forall @t52 (= (tptp.s @t62 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t63))) @t63))) % 34.72/34.95 (assume @p22 (forall @t52 (= (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t64))) @t64))) % 34.72/34.95 (assume @p23 (forall @t52 (= (tptp.s @t65 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t66))) @t66))) % 34.72/34.95 (assume @p24 (forall @t52 (= (tptp.s @t59 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t67))) @t67))) % 34.72/34.95 (assume @p25 (forall @t36 (= (tptp.j_mono_2Etyop_2Emin_2Ebool @t68) @t12))) % 34.72/34.95 (assume @p26 @t71) % 34.72/34.95 (assume @p27 (forall (@list @t72) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t73) @t72))) % 34.72/34.95 (assume @p28 (forall (@list @t74) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t75) @t74))) % 34.72/34.95 (assume @p29 (forall (@list @t76) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t77) @t76))) % 34.72/34.95 (assume @p30 (forall (@list @t78) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t79) @t78))) % 34.72/34.95 (assume @p31 (forall (@list @t80) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t81) @t80))) % 34.72/34.95 (assume @p32 (forall (@list @t82) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t83) @t82))) % 34.72/34.95 (assume @p33 (forall (@list @t84) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t85) @t84))) % 34.72/34.95 (assume @p34 (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)))))) % 34.72/34.95 (assume @p35 (forall @t94 (= (and @t93 @t92) (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 @t91) @t90))))) % 34.72/34.95 (assume @p36 (forall (@list @t3 @t86 @t95) (= (= @t97 @t96) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t46 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t46) tptp.c_2Emin_2E_3D_2E0) @t97)) @t96))))))) % 34.72/34.95 (assume @p37 (forall @t94 (= (=> @t93 @t92) (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 @t91) @t90))))) % 34.72/34.95 (assume @p38 (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)))))) % 34.72/34.95 (assume @p39 (forall (@list @t3 @t91 @t95 @t98) (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t100 @t96 @t99)) (tptp.s @t3 (tptp.app_2E2 (tptp.s @t27 (tptp.app_2E2 (tptp.s @t101 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t101) tptp.c_2Ebool_2ECOND_2E0) @t100)) @t96)) @t99))))) % 34.72/34.95 (assume @p40 (forall (@list @t91 @t103 @t102) (= (tptp.mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal @t91 @t103 @t102) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 tptp.mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal @t91) @t103) @t102)))) % 34.72/34.95 (assume @p41 (forall @t94 (= (or @t93 @t92) (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 @t91) @t90))))) % 34.72/34.95 (assume @p42 (forall @t105 (= (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t104 @t103) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E0 @t104) @t103)))) % 34.72/34.95 (assume @p43 (forall @t105 (= (tptp.mono_2Ec_2Eextreal_2Eextreal__max_2E2 @t104 @t103) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 tptp.mono_2Ec_2Eextreal_2Eextreal__max_2E0 @t104) @t103)))) % 34.72/34.95 (assume @p44 (forall (@list @t91) (= (not @t93) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t91))))) % 34.72/34.95 (assume @p45 (forall (@list @t72 @t11) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool @t72 @t11))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t73 @t106))))) % 34.72/34.95 (assume @p46 (forall (@list @t74 @t11) (= (tptp.s @t54 (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 @t74 @t11))) (tptp.s @t54 (tptp.app_2E2 @t75 @t106))))) % 34.72/34.95 (assume @p47 (forall (@list @t76 @t11) (= (tptp.s @t59 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t76 @t11))) (tptp.s @t59 (tptp.app_2E2 @t77 @t106))))) % 34.72/34.95 (assume @p48 (forall (@list @t78 @t107) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool @t78 @t107))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t79 @t108))))) % 34.72/34.95 (assume @p49 (forall (@list @t80 @t107) (= (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.i_mono_2Etyop_2Eextreal_2Eextreal (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal @t80 @t107))) (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.app_2E2 @t81 @t108))))) % 34.72/34.95 (assume @p50 (forall (@list @t82 @t107) (= (tptp.s @t62 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t82 @t107))) (tptp.s @t62 (tptp.app_2E2 @t83 @t108))))) % 34.72/34.95 (assume @p51 (forall (@list @t84 @t107) (= (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t84 @t107))) (tptp.s @t58 (tptp.app_2E2 @t85 @t108))))) % 34.72/34.95 (assume @p52 @t112) % 34.72/34.95 (assume @p53 @t114) % 34.72/34.95 (assume @p54 (forall (@list @t116 @t115) (=> (=> @t117 @t118) (=> (=> @t118 @t117) (= @t116 @t115))))) % 34.72/34.95 (assume @p55 (forall @t23 @t120)) % 34.72/34.95 (assume @p56 (forall @t23 (or @t119 @t121))) % 34.72/34.95 (assume @p57 (forall @t23 (=> @t122 @t121))) % 34.72/34.95 (assume @p58 (forall @t23 (=> @t121 @t122))) % 34.72/34.95 (assume @p59 (forall @t23 (and (= (=> @t16 @t119) @t119) (= (=> @t119 @t16) @t16) (= @t120 @t16) (= (=> @t119 @t119) @t16) (= @t122 @t121)))) % 34.72/34.95 (assume @p60 (and @t123 (= (not @t16) @t17) (= @t18 @t16))) % 34.72/34.95 (assume @p61 (forall (@list @t3 @t25 @t28) (= (= @t26 @t124) (= @t124 @t26)))) % 34.72/34.95 (assume @p62 @t130) % 34.72/34.95 (assume @p63 @t142) % 34.72/34.95 (assume @p64 (forall (@list @t146 @t144 @t143) (= @t148 @t148))) % 34.72/34.95 (assume @p65 (forall @t150 (= @t149 (or @t145 @t147)))) % 34.72/34.95 (assume @p66 (forall @t150 (and (= (not (and @t147 @t145)) (or @t152 @t151)) (= (not @t149) (and @t152 @t151))))) % 34.72/34.95 (assume @p67 @t161) % 34.72/34.95 (assume @p68 (forall @t162 (or @t159 (tptp.p (tptp.mono_2Ec_2Eextreal_2Eextreal__le_2E2 @t156 @t154))))) % 34.72/34.95 (assume @p69 (forall @t162 (= (tptp.mono_2Ec_2Eextreal_2Eextreal__max_2E2 @t154 @t156) (tptp.mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal @t158 @t156 @t154)))) % 34.72/34.95 (assume @p70 @t123) % 34.72/34.95 (assume @p71 (forall @t164 (=> @t147 @t163))) % 34.72/34.95 (assume @p72 (forall @t170 (= (=> (not (or @t169 @t166)) @t17) (=> (=> @t169 @t17) @t167)))) % 34.72/34.95 (assume @p73 (forall @t170 (= (=> (not (or (not @t169) @t166)) @t17) (=> @t169 @t167)))) % 34.72/34.95 (assume @p74 (forall @t164 (=> @t163 (=> (=> @t147 @t17) @t17)))) % 34.72/34.95 (assume @p75 (forall @t180 (= (= @t172 (= @t174 @t177)) (and (or @t172 @t175 @t178) (or @t172 @t179 @t176) (or @t175 @t179 @t173) (or @t178 @t176 @t173))))) % 34.72/34.95 (assume @p76 (forall @t180 (= (= @t172 (and @t175 @t178)) (and (or @t172 @t176 @t179) (or @t175 @t173) (or @t178 @t173))))) % 34.72/34.95 (assume @p77 (forall @t180 (= (= @t172 (or @t175 @t178)) (and (or @t172 @t176) @t181 (or @t175 @t178 @t173))))) % 34.72/34.95 (assume @p78 (forall @t180 (= (= @t172 (=> @t175 @t178)) (and (or @t172 @t175) @t181 (or @t176 @t178 @t173))))) % 34.72/34.95 (assume @p79 (forall (@list @t184 @t182) (= (= @t183 @t186) (and (or @t183 @t185) (or @t186 (not @t183)))))) % 34.72/34.95 (assume @p80 (not @t190)) % 34.72/34.95 (assume @p81 true) % 34.72/34.95 (step @p82 :rule instantiate :premises (@p69) :args (@t193)) % 34.72/34.95 (step @p83 :rule instantiate :premises (@p42) :args (@t193)) % 34.72/34.95 (step @p84 :rule instantiate :premises (@p53) :args ((@list @t194 @t191 @t192))) % 34.72/34.95 (step @p85 :rule alpha_equiv :args (@t196 @t197 (@list (@var "BOUND_VARIABLE_8410" tptp.d) (@var "BOUND_VARIABLE_8412" tptp.u) (@var "BOUND_VARIABLE_8414" tptp.u)))) % 34.72/34.95 (step @p86 :rule alpha_equiv :args (@t199 @t197 (@list (@var "BOUND_VARIABLE_8397" tptp.d) (@var "BOUND_VARIABLE_8399" tptp.u) (@var "BOUND_VARIABLE_8401" tptp.u)))) % 34.72/34.95 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t200)) % 34.72/34.95 (step @p88 :rule quant-miniscope-and :args ((= (forall @t141 (and @t198 @t195)) @t200))) % 34.72/34.95 (step @p89 :rule trans :premises (@p88 @p87)) % 34.72/34.95 (step @p90 :rule eq-symm :args (@t136 @t132)) % 34.72/34.95 (step @p91 :rule eq-symm :args (@t139 @t134)) % 34.72/34.95 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t140)) % 34.72/34.95 (step @p93 :rule cong :premises (@p92) :args (@t142)) % 34.72/34.95 (step @p94 :rule trans :premises (@p93 @p89)) % 34.72/34.95 (step @p95 :rule eq_resolve :premises (@p63 @p94)) % 34.72/34.95 (step @p96 :rule and_elim :premises (@p95) :args (0)) % 34.72/34.95 (step @p97 :rule instantiate :premises (@p96) :args (@t203)) % 34.72/34.95 (step @p98 :rule eq-symm :args (@t70 @t69)) % 34.72/34.95 (step @p99 :rule cong :premises (@p98) :args (@t71)) % 34.72/34.95 (step @p100 :rule eq_resolve :premises (@p26 @p99)) % 34.72/34.95 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t192))) % 34.72/34.95 (step @p102 :rule instantiate :premises (@p100) :args ((@list @t204))) % 34.72/34.95 (step @p103 :rule and_elim :premises (@p95) :args (1)) % 34.72/34.95 (step @p104 :rule instantiate :premises (@p103) :args (@t203)) % 34.72/34.95 (step @p105 :rule eq-symm :args (@t19 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 34.72/34.95 (step @p106 :rule eq-symm :args (@t19 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 34.72/34.95 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t22)) % 34.72/34.95 (step @p108 :rule cong :premises (@p107) :args (@t24)) % 34.72/34.95 (step @p109 :rule eq_resolve :premises (@p5 @p108)) % 34.72/34.95 (step @p110 :rule instantiate :premises (@p109) :args (@t208)) % 34.72/34.95 (step @p111 :rule alpha_equiv :args (@t210 @t211 (@list @t212))) % 34.72/34.95 (step @p112 :rule alpha_equiv :args (@t214 @t211 (@list (@var "BOUND_VARIABLE_8376" tptp.mono_2Etyop_2Emin_2Ebool)))) % 34.72/34.95 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t215)) % 34.72/34.95 (step @p114 :rule quant-miniscope-and :args ((= (forall @t23 @t216) @t215))) % 34.72/34.95 (step @p115 :rule trans :premises (@p114 @p113)) % 34.72/34.95 (step @p116 :rule aci_norm :args ((= @t217 @t216))) % 34.72/34.95 (step @p117 :rule cong :premises (@p116) :args ((forall @t23 @t217))) % 34.72/34.95 (step @p118 :rule trans :premises (@p117 @p115)) % 34.72/34.95 (step @p119 :rule eq-symm :args (@t126 @t121)) % 34.72/34.95 (step @p120 :rule refl :args (@t121)) % 34.72/34.95 (step @p121 :rule cong :premises (@p105 @p120) :args (@t125)) % 34.72/34.95 (step @p122 :rule trans :premises (@p121 @p119)) % 34.72/34.95 (step @p123 :rule eq-symm :args (@t128 @t119)) % 34.72/34.95 (step @p124 :rule refl :args (@t119)) % 34.72/34.95 (step @p125 :rule cong :premises (@p106 @p124) :args (@t127)) % 34.72/34.95 (step @p126 :rule trans :premises (@p125 @p123)) % 34.72/34.95 (step @p127 :rule nary_cong :premises (@p123 @p126 @p119 @p122) :args (@t129)) % 34.72/34.95 (step @p128 :rule cong :premises (@p127) :args (@t130)) % 34.72/34.95 (step @p129 :rule trans :premises (@p128 @p118)) % 34.72/34.95 (step @p130 :rule eq_resolve :premises (@p62 @p129)) % 34.72/34.95 (step @p131 :rule and_elim :premises (@p130) :args (0)) % 34.72/34.95 (step @p132 :rule instantiate :premises (@p131) :args (@t208)) % 34.72/34.95 (step @p133 :rule skolemize :premises (@p80)) % 34.72/34.95 (step @p134 :rule cnf_equiv_neg2 :args (@t224)) % 34.72/34.95 (step @p135 :rule cnf_equiv_pos1 :args (@t226)) % 34.72/34.95 (step @p136 :rule reordering :premises (@p135) :args ((or @t228 @t225 @t227))) % 34.72/34.95 (step @p137 :rule and_elim :premises (@p130) :args (1)) % 34.72/34.95 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t220))) % 34.72/34.95 (step @p139 :rule refl :args (@t229)) % 34.72/34.95 (step @p140 :rule bool-double-not-elim :args (@t221)) % 34.72/34.95 (step @p141 :rule refl :args (@t232)) % 34.72/34.95 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args ((or @t232 (not @t230) @t229))) % 34.72/34.95 (step @p143 :rule cnf_equiv_pos1 :args (@t231)) % 34.72/34.95 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 34.72/34.95 (step @p145 :rule reordering :premises (@p144) :args ((or @t221 @t229 @t232))) % 34.72/34.95 (assume-push @p791 @t233) % 34.72/34.95 (step-pop @p792 :rule scope :premises (@p138)) % 34.72/34.95 (step @p147 :rule process_scope :premises (@p792) :args (@t231)) % 34.72/34.95 (step @p149 :rule implies_elim :premises (@p147)) % 34.72/34.95 (step @p150 :rule eq-symm :args (@t40 @t38)) % 34.72/34.95 (step @p151 :rule refl :args (@t41)) % 34.72/34.95 (step @p152 :rule cong :premises (@p151 @p150) :args (@t42)) % 34.72/34.95 (step @p153 :rule cong :premises (@p152) :args (@t44)) % 34.72/34.95 (step @p154 :rule eq_resolve :premises (@p13 @p153)) % 34.72/34.95 (step @p155 :rule bool-eq-true :args (@t234)) % 34.72/34.95 (step @p156 :rule eq-refl :args (@t109)) % 34.72/34.95 (step @p157 :rule refl :args (@t234)) % 34.72/34.95 (step @p158 :rule cong :premises (@p157 @p156) :args (@t235)) % 34.72/34.95 (step @p159 :rule trans :premises (@p158 @p155)) % 34.72/34.95 (step @p160 :rule refl :args (@t236)) % 34.72/34.95 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t236 @t235))) % 34.72/34.95 (assume-push @p793 @t236) % 34.72/34.95 (step @p163 :rule instantiate :premises (@p154) :args ((@list @t60 tptp.c_2Ebool_2ECOND_2E0 tptp.c_2Ebool_2ECOND_2E0))) % 34.72/34.95 (step-pop @p794 :rule scope :premises (@p163)) % 34.72/34.95 (step @p164 :rule process_scope :premises (@p794) :args (@t235)) % 34.72/34.95 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 34.72/34.95 (step @p167 :rule implies_elim :premises (@p166)) % 34.72/34.95 (step @p168 :rule chain_m_resolution :premises (@p167 @p154) :args (@t234 @t237 @t238)) % 34.72/34.95 (step @p169 :rule instantiate :premises (@p131) :args ((@list @t241))) % 34.72/34.95 (step @p170 :rule bool-eq-true :args (@t242)) % 34.72/34.95 (step @p171 :rule eq-refl :args (@t111)) % 34.72/34.95 (step @p172 :rule refl :args (@t242)) % 34.72/34.95 (step @p173 :rule cong :premises (@p172 @p171) :args (@t243)) % 34.72/34.95 (step @p174 :rule trans :premises (@p173 @p170)) % 34.72/34.95 (step @p175 :rule cong :premises (@p160 @p174) :args ((=> @t236 @t243))) % 34.72/34.95 (assume-push @p795 @t236) % 34.72/34.95 (step @p177 :rule instantiate :premises (@p154) :args ((@list @t60 @t110 @t110))) % 34.72/34.95 (step-pop @p796 :rule scope :premises (@p177)) % 34.72/34.95 (step @p178 :rule process_scope :premises (@p796) :args (@t243)) % 34.72/34.95 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 34.72/34.95 (step @p181 :rule implies_elim :premises (@p180)) % 34.72/34.95 (step @p182 :rule chain_m_resolution :premises (@p181 @p154) :args (@t242 @t237 @t238)) % 34.72/34.95 (step @p183 :rule cnf_equiv_pos1 :args (@t245)) % 34.72/34.95 (step @p184 :rule reordering :premises (@p183) :args ((or (not @t242) @t244 (not @t245)))) % 34.72/34.95 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p169) :args (@t244 @t246 (@list @t242 @t245))) % 34.72/34.95 (assume-push @p797 @t112) % 34.72/34.95 (assume-push @p798 @t234) % 34.72/34.95 (assume-push @p799 @t244) % 34.72/34.95 (assume-push @p800 @t247) % 34.72/34.95 (assume-push @p801 @t234) % 34.72/34.95 (assume-push @p802 @t112) % 34.72/34.95 (assume-push @p803 @t244) % 34.72/34.95 (assume-push @p804 @t247) % 34.72/34.95 (step @p194 :rule true_intro :premises (@p168)) % 34.72/34.95 (step @p195 :rule cong :premises (@p52 @p52) :args (@t239)) % 34.72/34.95 (step @p196 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (step @p197 :rule cong :premises (@p196 @p195) :args (@t240)) % 34.72/34.95 (step @p198 :rule cong :premises (@p197) :args (@t241)) % 34.72/34.95 (step @p199 :rule cong :premises (@p198) :args (@t242)) % 34.72/34.95 (step @p200 :rule symm :premises (@p800)) % 34.72/34.95 (step @p201 :rule trans :premises (@p200 @p185)) % 34.72/34.95 (step @p202 :rule cong :premises (@p201) :args (@t248)) % 34.72/34.95 (step @p203 :rule trans :premises (@p202 @p199 @p194)) % 34.72/34.95 (step @p204 :rule true_elim :premises (@p203)) % 34.72/34.95 (step-pop @p805 :rule scope :premises (@p204)) % 34.72/34.95 (step-pop @p806 :rule scope :premises (@p805)) % 34.72/34.95 (step-pop @p807 :rule scope :premises (@p806)) % 34.72/34.95 (step-pop @p808 :rule scope :premises (@p807)) % 34.72/34.95 (step @p205 :rule process_scope :premises (@p808) :args (@t248)) % 34.72/34.95 (step @p210 :rule and_intro :premises (@p168 @p52 @p185 @p800)) % 34.72/34.95 (step @p211 :rule modus_ponens :premises (@p210 @p205)) % 34.72/34.95 (step-pop @p809 :rule scope :premises (@p211)) % 34.72/34.95 (step-pop @p810 :rule scope :premises (@p809)) % 34.72/34.95 (step-pop @p811 :rule scope :premises (@p810)) % 34.72/34.95 (step-pop @p812 :rule scope :premises (@p811)) % 34.72/34.95 (step @p212 :rule process_scope :premises (@p812) :args (@t248)) % 34.72/34.95 (step @p217 :rule implies_elim :premises (@p212)) % 34.72/34.95 (step @p218 :rule cnf_and_neg :args (@t249)) % 34.72/34.95 (step @p219 :rule resolution :premises (@p218 @p217) :args (true @t249)) % 34.72/34.95 (step @p220 :rule instantiate :premises (@p53) :args (@t250)) % 34.72/34.95 (step @p221 :rule instantiate :premises (@p103) :args ((@list tptp.tyop_2Eextreal_2Eextreal @t251 @t201))) % 34.72/34.95 (step @p222 :rule instantiate :premises (@p100) :args ((@list @t191))) % 34.72/34.95 (step @p223 :rule instantiate :premises (@p100) :args ((@list @t252))) % 34.72/34.95 (step @p224 :rule eq-symm :args (@t255 @t259)) % 34.72/34.95 (step @p225 :rule refl :args (@t114)) % 34.72/34.95 (step @p226 :rule cong :premises (@p225 @p224) :args ((=> @t114 @t260))) % 34.72/34.95 (assume-push @p813 @t114) % 34.72/34.95 (step @p228 :rule instantiate :premises (@p53) :args (@t261)) % 34.72/34.95 (step-pop @p814 :rule scope :premises (@p228)) % 34.72/34.95 (step @p229 :rule process_scope :premises (@p814) :args (@t260)) % 34.72/34.95 (step @p231 :rule eq_resolve :premises (@p229 @p226)) % 34.72/34.95 (step @p232 :rule implies_elim :premises (@p231)) % 34.72/34.95 (step @p233 :rule chain_m_resolution :premises (@p232 @p53) :args (@t262 @t237 (@list @t114))) % 34.72/34.95 (assume-push @p815 @t112) % 34.72/34.95 (assume-push @p816 @t229) % 34.72/34.95 (assume-push @p817 @t225) % 34.72/34.95 (assume-push @p818 @t234) % 34.72/34.95 (assume-push @p819 @t263) % 34.72/34.95 (assume-push @p820 @t244) % 34.72/34.95 (assume-push @p821 @t247) % 34.72/34.95 (assume-push @p822 @t270) % 34.72/34.95 (assume-push @p823 @t273) % 34.72/34.95 (assume-push @p824 @t274) % 34.72/34.95 (assume-push @p825 @t275) % 34.72/34.95 (assume-push @p826 @t277) % 34.72/34.95 (assume-push @p827 @t280) % 34.72/34.95 (assume-push @p828 @t282) % 34.72/34.95 (assume-push @p829 @t262) % 34.72/34.95 (assume-push @p830 @t247) % 34.72/34.95 (assume-push @p831 @t112) % 34.72/34.95 (assume-push @p832 @t229) % 34.72/34.95 (assume-push @p833 @t225) % 34.72/34.95 (assume-push @p834 @t274) % 34.72/34.95 (assume-push @p835 @t277) % 34.72/34.95 (assume-push @p836 @t263) % 34.72/34.95 (assume-push @p837 @t244) % 34.72/34.95 (assume-push @p838 @t280) % 34.72/34.95 (assume-push @p839 @t270) % 34.72/34.95 (assume-push @p840 @t273) % 34.72/34.95 (assume-push @p841 @t275) % 34.72/34.95 (assume-push @p842 @t282) % 34.72/34.95 (assume-push @p843 @t234) % 34.72/34.95 (assume-push @p844 @t262) % 34.72/34.95 (step @p194 :rule true_intro :premises (@p168)) % 34.72/34.95 (step @p195 :rule cong :premises (@p52 @p52) :args (@t239)) % 34.72/34.95 (step @p196 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (step @p197 :rule cong :premises (@p196 @p195) :args (@t240)) % 34.72/34.95 (step @p198 :rule cong :premises (@p197) :args (@t241)) % 34.72/34.95 (step @p199 :rule cong :premises (@p198) :args (@t242)) % 34.72/34.95 (step @p264 :rule symm :premises (@p817)) % 34.72/34.95 (step @p265 :rule refl :args (@t205)) % 34.72/34.95 (step @p266 :rule symm :premises (@p82)) % 34.72/34.95 (step @p267 :rule symm :premises (@p102)) % 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34.72/34.95 (assume-push @p882 @t315) % 34.72/34.95 (assume-push @p883 @t273) % 34.72/34.95 (assume-push @p884 @t274) % 34.72/34.95 (assume-push @p885 @t275) % 34.72/34.95 (assume-push @p886 @t280) % 34.72/34.95 (assume-push @p887 @t317) % 34.72/34.95 (assume-push @p888 @t321) % 34.72/34.95 (assume-push @p889 @t262) % 34.72/34.95 (assume-push @p890 @t322) % 34.72/34.95 (assume-push @p891 @t262) % 34.72/34.95 (assume-push @p892 @t229) % 34.72/34.95 (assume-push @p893 @t225) % 34.72/34.95 (assume-push @p894 @t303) % 34.72/34.95 (assume-push @p895 @t308) % 34.72/34.95 (assume-push @p896 @t274) % 34.72/34.95 (assume-push @p897 @t280) % 34.72/34.95 (assume-push @p898 @t310) % 34.72/34.95 (assume-push @p899 @t270) % 34.72/34.95 (assume-push @p900 @t322) % 34.72/34.95 (assume-push @p901 @t273) % 34.72/34.95 (assume-push @p902 @t315) % 34.72/34.95 (assume-push @p903 @t275) % 34.72/34.95 (assume-push @p904 @t317) % 34.72/34.95 (assume-push @p905 @t263) % 34.72/34.95 (assume-push @p906 @t321) % 34.72/34.95 (step @p388 :rule symm :premises (@p875)) % 34.72/34.95 (step @p265 :rule refl :args (@t205)) % 34.72/34.95 (step @p268 :rule symm :premises (@p101)) % 34.72/34.95 (step @p269 :rule symm :premises (@p221)) % 34.72/34.95 (step @p270 :rule refl :args (@t264)) % 34.72/34.95 (step @p271 :rule refl :args (@t265)) % 34.72/34.95 (step @p389 :rule cong :premises (@p388) :args (@t266)) % 34.72/34.95 (step @p196 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (step @p390 :rule cong :premises (@p196 @p389) :args (@t267)) % 34.72/34.95 (step @p391 :rule cong :premises (@p390 @p271 @p270) :args (@t268)) % 34.72/34.95 (step @p276 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) % 34.72/34.95 (step @p392 :rule cong :premises (@p276 @p391) :args (@t269)) % 34.72/34.95 (step @p393 :rule trans :premises (@p220 @p392 @p269)) % 34.72/34.95 (step @p394 :rule cong :premises (@p393) :args (@t281)) % 34.72/34.95 (step @p395 :rule symm :premises (@p220)) % 34.72/34.95 (step @p396 :rule 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34.72/34.95 (assume-push @p998 @t338) % 34.72/34.95 (assume-push @p999 @t273) % 34.72/34.95 (assume-push @p1000 @t315) % 34.72/34.95 (assume-push @p1001 @t280) % 34.72/34.95 (assume-push @p1002 @t263) % 34.72/34.95 (step @p597 :rule false_intro :premises (@p4)) % 34.72/34.95 (step @p598 :rule symm :premises (@p989)) % 34.72/34.95 (step @p281 :rule refl :args (@t191)) % 34.72/34.95 (step @p268 :rule symm :premises (@p101)) % 34.72/34.95 (step @p599 :rule symm :premises (@p104)) % 34.72/34.95 (step @p270 :rule refl :args (@t264)) % 34.72/34.95 (step @p600 :rule symm :premises (@p97)) % 34.72/34.95 (step @p403 :rule refl :args (@t135)) % 34.72/34.95 (step @p601 :rule cong :premises (@p403 @p600 @p270) :args (@t341)) % 34.72/34.95 (step @p276 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) % 34.72/34.95 (step @p602 :rule cong :premises (@p276 @p601) :args (@t342)) % 34.72/34.95 (step @p603 :rule cong :premises (@p598) :args (@t311)) % 34.72/34.95 (step @p196 :rule refl :args 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34.72/34.95 (step @p423 :rule symm :premises (@p83)) % 34.72/34.95 (step @p424 :rule cong :premises (@p423) :args (@t324)) % 34.72/34.95 (step @p196 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (step @p509 :rule cong :premises (@p196 @p424) :args (@t325)) % 34.72/34.95 (step @p427 :rule symm :premises (@p424)) % 34.72/34.95 (step @p674 :rule cong :premises (@p1025) :args (@t137)) % 34.72/34.95 (step @p675 :rule trans :premises (@p674 @p427)) % 34.72/34.95 (step @p676 :rule cong :premises (@p196 @p675) :args (@t138)) % 34.72/34.95 (step @p677 :rule trans :premises (@p676 @p509)) % 34.72/34.95 (step @p678 :rule cong :premises (@p677 @p286 @p270) :args (@t271)) % 34.72/34.95 (step @p276 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) % 34.72/34.95 (step @p679 :rule cong :premises (@p276 @p678) :args (@t272)) % 34.72/34.95 (step @p680 :rule trans :premises (@p97 @p679 @p508)) % 34.72/34.95 (step @p681 :rule cong :premises (@p680) :args (@t276)) % 34.72/34.95 (step @p682 :rule trans :premises (@p222 @p681 @p267 @p266)) % 34.72/34.95 (step @p683 :rule cong :premises (@p682 @p265) :args (@t218)) % 34.72/34.95 (step @p684 :rule trans :premises (@p683 @p673)) % 34.72/34.95 (step @p685 :rule cong :premises (@p684) :args (@t219)) % 34.72/34.95 (step @p686 :rule true_intro :premises (@p1028)) % 34.72/34.95 (step @p687 :rule symm :premises (@p686)) % 34.72/34.95 (step @p688 :rule trans :premises (@p687 @p685 @p597)) % 34.72/34.95 (step @p689 false :rule eq_resolve :premises (@p688 @p672)) % 34.72/34.95 (step-pop @p1029 :rule scope :premises (@p689)) % 34.72/34.95 (step-pop @p1030 :rule scope :premises (@p1029)) % 34.72/34.95 (step-pop @p1031 :rule scope :premises (@p1030)) % 34.72/34.95 (step-pop @p1032 :rule scope :premises (@p1031)) % 34.72/34.95 (step-pop @p1033 :rule scope :premises (@p1032)) % 34.72/34.95 (step-pop @p1034 :rule scope :premises (@p1033)) % 34.72/34.95 (step-pop @p1035 :rule scope :premises (@p1034)) % 34.72/34.95 (step-pop @p1036 :rule scope :premises (@p1035)) % 34.72/34.95 (step-pop @p1037 :rule scope :premises (@p1036)) % 34.72/34.95 (step-pop @p1038 :rule scope :premises (@p1037)) % 34.72/34.95 (step @p690 :rule process_scope :premises (@p1038) :args (false)) % 34.72/34.95 (assume-push @p1039 @t18) % 34.72/34.95 (assume-push @p1040 @t219) % 34.72/34.95 (assume-push @p1041 @t345) % 34.72/34.95 (assume-push @p1042 @t263) % 34.72/34.95 (assume-push @p1043 @t247) % 34.72/34.95 (assume-push @p1044 @t310) % 34.72/34.95 (assume-push @p1045 @t315) % 34.72/34.95 (assume-push @p1046 @t273) % 34.72/34.95 (assume-push @p1047 @t277) % 34.72/34.95 (assume-push @p1048 @t280) % 34.72/34.95 (step @p711 :rule and_intro :premises (@p4 @p1041 @p82 @p102 @p84 @p83 @p1043 @p97 @p222 @p1040)) % 34.72/34.95 (step-pop @p1049 :rule scope :premises (@p711)) % 34.72/34.95 (step-pop @p1050 :rule scope :premises (@p1049)) % 34.72/34.95 (step-pop @p1051 :rule scope :premises (@p1050)) % 34.72/34.95 (step-pop @p1052 :rule scope :premises (@p1051)) % 34.72/34.95 (step-pop @p1053 :rule scope :premises (@p1052)) % 34.72/34.95 (step-pop @p1054 :rule scope :premises (@p1053)) % 34.72/34.95 (step-pop @p1055 :rule scope :premises (@p1054)) % 34.72/34.95 (step-pop @p1056 :rule scope :premises (@p1055)) % 34.72/34.95 (step-pop @p1057 :rule scope :premises (@p1056)) % 34.72/34.95 (step-pop @p1058 :rule scope :premises (@p1057)) % 34.72/34.95 (step @p712 :rule process_scope :premises (@p1058) :args (@t350)) % 34.72/34.95 (step @p723 :rule implies_elim :premises (@p712)) % 34.72/34.95 (step @p724 :rule resolution :premises (@p723 @p690) :args (true @t350)) % 34.72/34.95 (step @p725 :rule not_and :premises (@p724)) % 34.72/34.95 (step @p726 :rule eq_resolve :premises (@p725 @p661)) % 34.72/34.95 (step @p727 :rule chain_m_resolution :premises (@p726 @p4 @p658 @p646 @p82 @p83 @p84 @p97 @p222 @p102) :args (@t291 (@list true false false false false false false false false) (@list @t17 @t219 @t345 @t263 @t310 @t315 @t273 @t277 @t280))) % 34.72/34.95 (step @p728 :rule chain_m_resolution :premises (@p351 @p727 @p349) :args (@t303 @t344 (@list @t247 @t304))) % 34.72/34.95 (assume-push @p1059 @t345) % 34.72/34.95 (assume-push @p1060 @t263) % 34.72/34.95 (assume-push @p1061 @t303) % 34.72/34.95 (assume-push @p1062 @t310) % 34.72/34.95 (assume-push @p1063 @t315) % 34.72/34.95 (assume-push @p1064 @t273) % 34.72/34.95 (assume-push @p1065 @t275) % 34.72/34.95 (assume-push @p1066 @t280) % 34.72/34.95 (assume-push @p1067 @t338) % 34.72/34.95 (assume-push @p1068 @t275) % 34.72/34.95 (assume-push @p1069 @t338) % 34.72/34.95 (assume-push @p1070 @t273) % 34.72/34.95 (assume-push @p1071 @t345) % 34.72/34.95 (assume-push @p1072 @t303) % 34.72/34.95 (assume-push @p1073 @t310) % 34.72/34.95 (assume-push @p1074 @t315) % 34.72/34.95 (assume-push @p1075 @t280) % 34.72/34.95 (assume-push @p1076 @t263) % 34.72/34.95 (step @p265 :rule refl :args (@t205)) % 34.72/34.95 (step @p268 :rule symm :premises (@p101)) % 34.72/34.95 (step @p599 :rule symm :premises (@p104)) % 34.72/34.95 (step @p270 :rule refl :args (@t264)) % 34.72/34.95 (step @p600 :rule symm :premises (@p97)) % 34.72/34.95 (step @p403 :rule refl :args (@t135)) % 34.72/34.95 (step @p601 :rule cong :premises (@p403 @p600 @p270) :args (@t341)) % 34.72/34.95 (step @p276 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) % 34.72/34.95 (step @p602 :rule cong :premises (@p276 @p601) :args (@t342)) % 34.72/34.95 (step @p747 :rule symm :premises (@p1059)) % 34.72/34.95 (step @p748 :rule cong :premises (@p747) :args (@t351)) % 34.72/34.95 (step @p196 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 34.72/34.95 (step @p749 :rule cong :premises (@p196 @p748) :args ((tptp.s tptp.tyop_2Emin_2Ebool @t351))) % 34.72/34.95 (step @p750 :rule symm :premises (@p748)) % 34.72/34.95 (step @p751 :rule symm :premises (@p1061)) % 34.72/34.95 (step @p752 :rule cong :premises (@p751) :args (@t311)) % 34.72/34.95 (step @p423 :rule symm :premises (@p83)) % 34.72/34.95 (step @p424 :rule cong :premises (@p423) :args (@t324)) % 34.72/34.95 (step @p753 :rule trans :premises (@p424 @p752 @p750)) % 34.72/34.95 (step @p754 :rule cong :premises (@p196 @p753) :args (@t325)) % 34.72/34.95 (step @p427 :rule symm :premises (@p424)) % 34.72/34.95 (step @p428 :rule cong :premises (@p196 @p427) :args (@t312)) % 34.72/34.95 (step @p755 :rule trans :premises (@p428 @p754)) % 34.72/34.95 (step @p756 :rule trans :premises (@p755 @p749)) % 34.72/34.95 (step @p757 :rule cong :premises (@p756 @p97 @p270) :args (@t313)) % 34.72/34.95 (step @p758 :rule cong :premises (@p276 @p757) :args (@t314)) % 34.72/34.95 (step @p759 :rule trans :premises (@p84 @p758 @p602 @p599)) % 34.72/34.95 (step @p760 :rule cong :premises (@p759) :args (@t279)) % 34.72/34.95 (step @p761 :rule trans :premises (@p82 @p102 @p760 @p268)) % 34.72/34.95 (step @p762 :rule cong :premises (@p761 @p265) :args (@t207)) % 34.72/34.95 (step @p763 :rule trans :premises (@p1059 @p762)) % 34.72/34.95 (step-pop @p1077 :rule scope :premises (@p763)) % 34.72/34.95 (step-pop @p1078 :rule scope :premises (@p1077)) % 34.72/34.95 (step-pop @p1079 :rule scope :premises (@p1078)) % 34.72/34.95 (step-pop @p1080 :rule scope :premises (@p1079)) % 34.72/34.95 (step-pop @p1081 :rule scope :premises (@p1080)) % 34.72/34.95 (step-pop @p1082 :rule scope :premises (@p1081)) % 34.72/34.95 (step-pop @p1083 :rule scope :premises (@p1082)) % 34.72/34.95 (step-pop @p1084 :rule scope :premises (@p1083)) % 34.72/34.95 (step-pop @p1085 :rule scope :premises (@p1084)) % 34.72/34.95 (step @p764 :rule process_scope :premises (@p1085) :args (@t229)) % 34.72/34.95 (step @p774 :rule and_intro :premises (@p101 @p104 @p97 @p1059 @p1061 @p83 @p84 @p102 @p82)) % 34.72/34.95 (step @p775 :rule modus_ponens :premises (@p774 @p764)) % 34.72/34.95 (step-pop @p1086 :rule scope :premises (@p775)) % 34.72/34.95 (step-pop @p1087 :rule scope :premises (@p1086)) % 34.72/34.95 (step-pop @p1088 :rule scope :premises (@p1087)) % 34.72/34.95 (step-pop @p1089 :rule scope :premises (@p1088)) % 34.72/34.95 (step-pop @p1090 :rule scope :premises (@p1089)) % 34.72/34.95 (step-pop @p1091 :rule scope :premises (@p1090)) % 34.72/34.95 (step-pop @p1092 :rule scope :premises (@p1091)) % 34.72/34.95 (step-pop @p1093 :rule scope :premises (@p1092)) % 34.72/34.95 (step-pop @p1094 :rule scope :premises (@p1093)) % 34.72/34.95 (step @p776 :rule process_scope :premises (@p1094) :args (@t229)) % 34.72/34.95 (step @p786 :rule implies_elim :premises (@p776)) % 34.72/34.95 (step @p787 :rule cnf_and_neg :args (@t352)) % 34.72/34.95 (step @p788 :rule resolution :premises (@p787 @p786) :args (true @t352)) % 34.72/34.95 (step @p789 :rule reordering :premises (@p788) :args ((or @t229 @t349 @t293 @t329 @t328 @t327 @t289 @t287 @t285 @t339))) % 34.72/34.95 (step @p790 false :rule chain_m_resolution :premises (@p789 @p728 @p655 @p646 @p104 @p102 @p101 @p97 @p84 @p83 @p82) :args (false (@list false true false false false false false false false false) (@list @t303 @t229 @t345 @t338 @t280 @t275 @t273 @t315 @t310 @t263))) % 34.72/34.95 ) % 34.72/34.95 % SZS output end Proof % 34.72/34.95 % cvc5 exiting %------------------------------------------------------------------------------