%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP019_1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:24:42 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP019_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:00:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 0) % 0.37/0.60 (declare-sort tptp.mono_2Etyop_2Enum_2Enum 0) % 0.37/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 0) % 0.37/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 0) % 0.37/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 0.37/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 0.37/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 0.37/0.60 (declare-sort tptp.d 0) % 0.37/0.60 (declare-sort tptp.u 0) % 0.37/0.60 (declare-sort tptp.du 0) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Enum_2E0_2E0 tptp.mono_2Etyop_2Enum_2Enum) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29) % 0.37/0.60 (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) % 0.37/0.60 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.37/0.60 (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) % 0.37/0.60 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.37/0.60 (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)) % 0.37/0.60 (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)) % 0.37/0.60 (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) % 0.37/0.60 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.37/0.60 (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)) % 0.37/0.60 (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)) % 0.37/0.60 (declare-const tptp.i_mono_2Etyop_2Enum_2Enum (-> tptp.mono_2Etyop_2Enum_2Enum tptp.u)) % 0.37/0.60 (declare-const tptp.j_mono_2Etyop_2Enum_2Enum (-> tptp.du tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.60 (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)) % 0.37/0.60 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 tptp.u)) % 0.37/0.60 (declare-const tptp.combin_s_2E0 tptp.u) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.37/0.60 (declare-const tptp.combin_k_2E0 tptp.u) % 0.37/0.60 (declare-const tptp.combin_i_2E0 tptp.u) % 0.37/0.60 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 tptp.u)) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.37/0.60 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.60 (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)) % 0.37/0.60 (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)) % 0.37/0.60 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.60 (declare-const tptp.tyop_2Erealax_2Ereal tptp.d) % 0.37/0.60 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 0.37/0.60 (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)) % 0.37/0.60 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.60 (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)) % 0.37/0.60 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.37/0.60 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 0.37/0.60 (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)) % 0.37/0.60 (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)) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 0.37/0.60 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.37/0.60 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.37/0.60 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29)) % 0.37/0.60 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.37/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.60 (declare-const tptp.tyop_2Epair_2Eprod (-> tptp.d tptp.d tptp.d)) % 0.37/0.60 (declare-const tptp.tyop_2Enum_2Enum tptp.d) % 0.37/0.60 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.37/0.60 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29)) % 0.37/0.60 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.37/0.60 (define @t2 () (@var "A_27b" tptp.d)) % 0.37/0.60 (define @t3 () (@var "A_27a" tptp.d)) % 0.37/0.60 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.37/0.60 (define @t5 () (tptp.s @t4 @t1)) % 0.37/0.60 (define @t6 () (@var "V0f_2E0" tptp.u)) % 0.37/0.60 (define @t7 () (tptp.s @t4 @t6)) % 0.37/0.60 (define @t8 () (@var "V2x_2E0" tptp.u)) % 0.37/0.60 (define @t9 () (tptp.s @t3 @t8)) % 0.37/0.60 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.37/0.60 (define @t11 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.60 (define @t12 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.60 (define @t13 () (tptp.p @t11)) % 0.37/0.60 (define @t14 () (tptp.p @t12)) % 0.37/0.60 (define @t15 () (@list @t12 @t11)) % 0.37/0.60 (define @t16 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.37/0.60 (define @t17 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.37/0.60 (define @t18 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.60 (define @t19 () (@list @t18)) % 0.37/0.60 (define @t20 () (@var "V0x_2E0" tptp.u)) % 0.37/0.60 (define @t21 () (tptp.s @t3 @t20)) % 0.37/0.60 (define @t22 () (@var "V1y_2E0" tptp.u)) % 0.37/0.60 (define @t23 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.37/0.60 (define @t24 () (@var "A_27c" tptp.d)) % 0.37/0.60 (define @t25 () (tptp.tyop_2Emin_2Efun @t2 @t24)) % 0.37/0.60 (define @t26 () (tptp.tyop_2Emin_2Efun @t3 @t25)) % 0.37/0.60 (define @t27 () (tptp.s @t26 @t6)) % 0.37/0.60 (define @t28 () (tptp.tyop_2Emin_2Efun @t3 @t24)) % 0.37/0.60 (define @t29 () (tptp.tyop_2Emin_2Efun @t4 @t28)) % 0.37/0.60 (define @t30 () (@list @t12)) % 0.37/0.60 (define @t31 () (@var "V1_2E0" tptp.u)) % 0.37/0.60 (define @t32 () (tptp.s @t3 @t31)) % 0.37/0.60 (define @t33 () (@var "V0_2E0" tptp.u)) % 0.37/0.60 (define @t34 () (tptp.s @t3 @t33)) % 0.37/0.60 (define @t35 () (@var "V1x_2E0" tptp.u)) % 0.37/0.60 (define @t36 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.37/0.60 (define @t37 () (tptp.s @t36 @t6)) % 0.37/0.60 (define @t38 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t37 (tptp.s @t3 @t35)))))) % 0.37/0.60 (define @t39 () (@list @t35)) % 0.37/0.60 (define @t40 () (@list @t3 @t6)) % 0.37/0.60 (define @t41 () (tptp.s tptp.tyop_2Emin_2Ebool @t33)) % 0.37/0.60 (define @t42 () (@list @t33)) % 0.37/0.60 (define @t43 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.37/0.60 (define @t44 () (tptp.s @t43 @t33)) % 0.37/0.60 (define @t45 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t43)) % 0.37/0.60 (define @t46 () (tptp.s @t45 @t33)) % 0.37/0.60 (define @t47 () (tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal)) % 0.37/0.60 (define @t48 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t47)) % 0.37/0.60 (define @t49 () (tptp.s @t48 @t33)) % 0.37/0.60 (define @t50 () (tptp.tyop_2Emin_2Efun @t47 @t47)) % 0.37/0.60 (define @t51 () (tptp.s @t50 @t33)) % 0.37/0.60 (define @t52 () (tptp.s tptp.tyop_2Enum_2Enum @t33)) % 0.37/0.60 (define @t53 () (tptp.s @t47 @t33)) % 0.37/0.60 (define @t54 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.60 (define @t55 () (tptp.s @t43 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t54))) % 0.37/0.60 (define @t56 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.37/0.60 (define @t57 () (tptp.s @t45 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t56))) % 0.37/0.60 (define @t58 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29)) % 0.37/0.60 (define @t59 () (tptp.s @t48 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t58))) % 0.37/0.60 (define @t60 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29)) % 0.37/0.60 (define @t61 () (tptp.s @t50 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t60))) % 0.37/0.60 (define @t62 () (@var "V0_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.60 (define @t63 () (@var "V0_2E0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (define @t64 () (@var "X0_2E0" tptp.u)) % 0.37/0.60 (define @t65 () (tptp.s @t36 @t64)) % 0.37/0.60 (define @t66 () (tptp.tyop_2Emin_2Efun @t36 tptp.tyop_2Emin_2Ebool)) % 0.37/0.60 (define @t67 () (@list @t3 @t64)) % 0.37/0.60 (define @t68 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.60 (define @t69 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.60 (define @t70 () (tptp.p @t68)) % 0.37/0.60 (define @t71 () (tptp.p @t69)) % 0.37/0.60 (define @t72 () (@list @t69 @t68)) % 0.37/0.60 (define @t73 () (@var "X1_2E0" tptp.u)) % 0.37/0.60 (define @t74 () (tptp.s @t3 @t73)) % 0.37/0.60 (define @t75 () (tptp.s @t3 @t64)) % 0.37/0.60 (define @t76 () (@var "X0_2E0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (define @t77 () (@var "X0_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.60 (define @t78 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t11))) % 0.37/0.60 (define @t79 () (@var "V1_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.60 (define @t80 () (@var "V1_2E0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (define @t81 () (tptp.p @t18)) % 0.37/0.60 (define @t82 () (tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 tptp.mono_2Ec_2Enum_2E0_2E0)) % 0.37/0.60 (define @t83 () (@var "V0z_2E0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.37/0.60 (define @t84 () (= @t83 @t82)) % 0.37/0.60 (define @t85 () (tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @t83)) % 0.37/0.60 (define @t86 () (= @t85 @t82)) % 0.37/0.60 (define @t87 () (= @t86 @t84)) % 0.37/0.60 (define @t88 () (@list @t83)) % 0.37/0.60 (define @t89 () (forall @t88 @t87)) % 0.37/0.60 (define @t90 () (not @t86)) % 0.37/0.60 (define @t91 () (not @t84)) % 0.37/0.60 (define @t92 () (=> @t91 @t90)) % 0.37/0.60 (define @t93 () (forall @t88 @t92)) % 0.37/0.60 (define @t94 () (not @t93)) % 0.37/0.60 (define @t95 () (= @t82 @t85)) % 0.37/0.60 (define @t96 () (not @t95)) % 0.37/0.60 (define @t97 () (forall @t88 (or @t84 @t96))) % 0.37/0.60 (define @t98 () (@quantifiers_skolemize @t97 0)) % 0.37/0.60 (define @t99 () (= @t82 (tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @t98))) % 0.37/0.60 (define @t100 () (not @t99)) % 0.37/0.60 (define @t101 () (= @t82 @t98)) % 0.37/0.60 (define @t102 () (or @t101 @t100)) % 0.37/0.60 (define @t103 () (not @t102)) % 0.37/0.60 (define @t104 () (not @t97)) % 0.37/0.60 (define @t105 () (= @t98 @t82)) % 0.37/0.60 (define @t106 () (or @t105 @t100)) % 0.37/0.60 (define @t107 () (not @t106)) % 0.37/0.60 (define @t108 () (@list true)) % 0.37/0.60 (define @t109 () (@list @t102)) % 0.37/0.60 (define @t110 () (= @t99 @t101)) % 0.37/0.60 (define @t111 () (not @t110)) % 0.37/0.60 (define @t112 () (= @t105 @t99)) % 0.37/0.60 (define @t113 () (forall @t88 (= @t84 @t95))) % 0.37/0.60 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.37/0.60 (assume @p2 (forall @t15 (=> (= @t14 @t13) (= @t12 @t11)))) % 0.37/0.60 (assume @p3 @t16) % 0.37/0.60 (assume @p4 (not @t17)) % 0.37/0.60 (assume @p5 (forall @t19 (or (= @t18 tptp.mono_2Ec_2Ebool_2ET_2E0) (= @t18 tptp.mono_2Ec_2Ebool_2EF_2E0)))) % 0.37/0.60 (assume @p6 (forall (@list @t3 @t20) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t21)) @t21))) % 0.37/0.60 (assume @p7 (forall (@list @t3 @t2 @t20 @t22) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t23 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t23) tptp.combin_k_2E0) @t21)) (tptp.s @t2 @t22))) @t21))) % 0.37/0.60 (assume @p8 (forall (@list @t3 @t2 @t24 @t6 @t1 @t8) (= (tptp.s @t24 (tptp.app_2E2 (tptp.s @t28 (tptp.app_2E2 (tptp.s @t29 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t26 @t29) tptp.combin_s_2E0) @t27)) @t5)) @t9)) (tptp.s @t24 (tptp.app_2E2 (tptp.s @t25 (tptp.app_2E2 @t27 @t9)) @t10))))) % 0.37/0.60 (assume @p9 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t12 @t11)) (and @t14 @t13)))) % 0.37/0.60 (assume @p10 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t12 @t11)) (or @t14 @t13)))) % 0.37/0.60 (assume @p11 (forall @t30 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t12)) (not @t14)))) % 0.37/0.60 (assume @p12 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t12 @t11)) (=> @t14 @t13)))) % 0.37/0.60 (assume @p13 (forall (@list @t3 @t33 @t31) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t34 @t32)))) (= @t34 @t32)))) % 0.37/0.60 (assume @p14 (forall @t40 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t37)))) (forall @t39 @t38)))) % 0.37/0.60 (assume @p15 (forall @t40 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t37)))) (exists @t39 @t38)))) % 0.37/0.60 (assume @p16 (forall @t42 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t41))) @t41))) % 0.37/0.60 (assume @p17 (forall @t42 (= (tptp.s @t43 (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 @t44))) @t44))) % 0.37/0.60 (assume @p18 (forall @t42 (= (tptp.s @t45 (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 @t46))) @t46))) % 0.37/0.60 (assume @p19 (forall @t42 (= (tptp.s @t48 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t49))) @t49))) % 0.37/0.60 (assume @p20 (forall @t42 (= (tptp.s @t50 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t51))) @t51))) % 0.37/0.60 (assume @p21 (forall @t42 (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.j_mono_2Etyop_2Enum_2Enum @t52))) @t52))) % 0.37/0.60 (assume @p22 (forall @t42 (= (tptp.s @t47 (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 @t53))) @t53))) % 0.37/0.60 (assume @p23 (forall @t30 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) @t12))) % 0.37/0.60 (assume @p24 (forall (@list @t54) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t55) @t54))) % 0.37/0.60 (assume @p25 (forall (@list @t56) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t57) @t56))) % 0.37/0.60 (assume @p26 (forall (@list @t58) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t59) @t58))) % 0.37/0.60 (assume @p27 (forall (@list @t60) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t61) @t60))) % 0.37/0.60 (assume @p28 (forall (@list @t62) (= (tptp.j_mono_2Etyop_2Enum_2Enum (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t62))) @t62))) % 0.37/0.60 (assume @p29 (forall (@list @t63) (= (tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.s @t47 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t63))) @t63))) % 0.37/0.60 (assume @p30 (forall @t67 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t65))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t66 tptp.c_2Ebool_2E_21_2E0) @t65)))))) % 0.37/0.60 (assume @p31 (forall @t72 (= (and @t71 @t70) (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 @t69) @t68))))) % 0.37/0.60 (assume @p32 (forall (@list @t3 @t64 @t73) (= (= @t75 @t74) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t36) tptp.c_2Emin_2E_3D_2E0) @t75)) @t74))))))) % 0.37/0.60 (assume @p33 (forall @t72 (= (=> @t71 @t70) (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 @t69) @t68))))) % 0.37/0.60 (assume @p34 (forall @t67 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t65))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t66 tptp.c_2Ebool_2E_3F_2E0) @t65)))))) % 0.37/0.60 (assume @p35 (forall @t72 (= (or @t71 @t70) (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 @t69) @t68))))) % 0.37/0.60 (assume @p36 (forall (@list @t76) (= (tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1 @t76) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv_2E0 @t76)))) % 0.37/0.60 (assume @p37 (forall (@list @t77) (= (tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1 @t77) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E0 @t77)))) % 0.37/0.60 (assume @p38 (forall (@list @t69) (= (not @t71) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t69))))) % 0.37/0.60 (assume @p39 (forall (@list @t54 @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 @t54 @t11))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t55 @t78))))) % 0.37/0.60 (assume @p40 (forall (@list @t56 @t11) (= (tptp.s @t43 (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 @t56 @t11))) (tptp.s @t43 (tptp.app_2E2 @t57 @t78))))) % 0.37/0.60 (assume @p41 (forall (@list @t58 @t79) (= (tptp.s @t47 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t58 @t79))) (tptp.s @t47 (tptp.app_2E2 @t59 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t79))))))) % 0.37/0.60 (assume @p42 (forall (@list @t60 @t80) (= (tptp.s @t47 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t60 @t80))) (tptp.s @t47 (tptp.app_2E2 @t61 (tptp.s @t47 (tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t80))))))) % 0.37/0.60 (assume @p43 (forall (@list @t3 @t18) (= (forall @t39 @t81) @t81))) % 0.37/0.60 (assume @p44 (forall @t19 (and (= (=> @t16 @t81) @t81) (= (=> @t81 @t16) @t16) (= (=> @t17 @t81) @t16) (= (=> @t81 @t81) @t16) (= (=> @t81 @t17) (not @t81))))) % 0.37/0.60 (assume @p45 @t89) % 0.37/0.60 (assume @p46 @t94) % 0.37/0.60 (assume @p47 true) % 0.37/0.60 (step @p48 :rule eq-symm :args (@t95 @t84)) % 0.37/0.60 (step @p49 :rule refl :args (@t84)) % 0.37/0.60 (step @p50 :rule eq-symm :args (@t85 @t82)) % 0.37/0.60 (step @p51 :rule cong :premises (@p50 @p49) :args (@t87)) % 0.37/0.60 (step @p52 :rule trans :premises (@p51 @p48)) % 0.37/0.60 (step @p53 :rule cong :premises (@p52) :args (@t89)) % 0.37/0.60 (step @p54 :rule eq_resolve :premises (@p45 @p53)) % 0.37/0.60 (step @p55 :rule refl :args (@t96)) % 0.37/0.60 (step @p56 :rule bool-double-not-elim :args (@t84)) % 0.37/0.60 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t91) @t96))) % 0.37/0.60 (step @p58 :rule bool-impl-elim :args (@t91 @t96)) % 0.37/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.60 (step @p60 :rule cong :premises (@p59) :args ((forall @t88 (=> @t91 @t96)))) % 0.37/0.60 (step @p61 :rule cong :premises (@p50) :args (@t90)) % 0.37/0.60 (step @p62 :rule refl :args (@t91)) % 0.37/0.60 (step @p63 :rule cong :premises (@p62 @p61) :args (@t92)) % 0.37/0.60 (step @p64 :rule cong :premises (@p63) :args (@t93)) % 0.37/0.60 (step @p65 :rule trans :premises (@p64 @p60)) % 0.37/0.60 (step @p66 :rule cong :premises (@p65) :args (@t94)) % 0.37/0.60 (step @p67 :rule eq_resolve :premises (@p46 @p66)) % 0.37/0.60 (step @p68 :rule refl :args (@t103)) % 0.37/0.60 (step @p69 :rule bool-double-not-elim :args (@t97)) % 0.37/0.60 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t104) @t103))) % 0.37/0.60 (step @p71 :rule refl :args (@t100)) % 0.37/0.60 (step @p72 :rule eq-symm :args (@t98 @t82)) % 0.37/0.60 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t106)) % 0.37/0.60 (step @p74 :rule cong :premises (@p73) :args (@t107)) % 0.37/0.60 (step @p75 :rule refl :args (@t104)) % 0.37/0.60 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t104 @t107))) % 0.37/0.60 (assume-push @p110 @t104) % 0.37/0.60 (step @p78 :rule skolemize :premises (@p67)) % 0.37/0.60 (step-pop @p111 :rule scope :premises (@p78)) % 0.37/0.60 (step @p79 :rule process_scope :premises (@p111) :args (@t107)) % 0.37/0.60 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 0.37/0.60 (step @p82 :rule implies_elim :premises (@p81)) % 0.37/0.60 (step @p83 :rule eq_resolve :premises (@p82 @p70)) % 0.37/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p67) :args (@t103 @t108 (@list @t97))) % 0.37/0.60 (step @p85 :rule cnf_or_neg :args (@t102 0)) % 0.37/0.60 (step @p86 :rule chain_m_resolution :premises (@p85 @p84) :args ((not @t101) @t108 @t109)) % 0.37/0.60 (step @p87 :rule bool-double-not-elim :args (@t99)) % 0.37/0.60 (step @p88 :rule refl :args (@t102)) % 0.37/0.60 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t102 (not @t100)))) % 0.37/0.60 (step @p90 :rule cnf_or_neg :args (@t102 1)) % 0.37/0.60 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.37/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t99 @t102))) % 0.37/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p84) :args (@t99 @t108 @t109)) % 0.37/0.60 (step @p94 :rule cnf_equiv_pos1 :args (@t110)) % 0.37/0.60 (step @p95 :rule reordering :premises (@p94) :args ((or @t100 @t101 @t111))) % 0.37/0.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86) :args (@t111 (@list false true) (@list @t99 @t101))) % 0.37/0.60 (step @p97 :rule eq-symm :args (@t101 @t99)) % 0.37/0.60 (step @p98 :rule refl :args (@t99)) % 0.37/0.60 (step @p99 :rule cong :premises (@p72 @p98) :args (@t112)) % 0.37/0.60 (step @p100 :rule trans :premises (@p99 @p97)) % 0.37/0.60 (step @p101 :rule refl :args (@t113)) % 0.37/0.60 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t113 @t112))) % 0.37/0.60 (assume-push @p112 @t113) % 0.37/0.60 (step @p104 :rule instantiate :premises (@p54) :args ((@list @t98))) % 0.37/0.60 (step-pop @p113 :rule scope :premises (@p104)) % 0.37/0.60 (step @p105 :rule process_scope :premises (@p113) :args (@t112)) % 0.37/0.60 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.37/0.60 (step @p108 :rule implies_elim :premises (@p107)) % 0.37/0.60 (step @p109 false :rule chain_m_resolution :premises (@p108 @p96 @p54) :args (false (@list true false) (@list @t110 @t113))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------