%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP013_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 : 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 08:24:35 AM UTC 2026 % Result : Theorem 0.36s 0.66s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP013_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.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 03:49:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.66 % SZS status Theorem % 0.36/0.66 % SZS output start Proof % 0.36/0.66 ( % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Enum_2Enum 0) % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 0) % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 0) % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 0) % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 0) % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 0.36/0.66 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 0.36/0.66 (declare-sort tptp.d 0) % 0.36/0.66 (declare-sort tptp.u 0) % 0.36/0.66 (declare-sort tptp.du 0) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 0.36/0.66 (declare-const tptp.c_2Ewords_2Eword__sub_2E2 (-> tptp.du tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.c_2Ewords_2Eword__sub_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.c_2Ewords_2Eword__add_2E2 (-> tptp.du tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.c_2Ewords_2Eword__add_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29)) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.36/0.66 (declare-const tptp.tyop_2Enum_2Enum tptp.d) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Earithmetic_2E_2D_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.36/0.66 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 0.36/0.66 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.36/0.66 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.36/0.66 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Earithmetic_2E_2B_2E2 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.36/0.66 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.36/0.66 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.c_2Ewords_2En2w_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)) % 0.36/0.66 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.36/0.66 (declare-const tptp.combin_i_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Earithmetic_2E_3C_3D_2E2 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.36/0.66 (declare-const tptp.c_2Ewords_2Eword__2comp_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.combin_k_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.36/0.66 (declare-const tptp.combin_s_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 tptp.u)) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 tptp.u)) % 0.36/0.66 (declare-const tptp.j_mono_2Etyop_2Enum_2Enum (-> tptp.du tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (declare-const tptp.i_mono_2Etyop_2Enum_2Enum (-> tptp.mono_2Etyop_2Enum_2Enum tptp.u)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Earithmetic_2E_2B_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29) % 0.36/0.66 (declare-const tptp.tyop_2Efcp_2Ecart (-> tptp.d tptp.d tptp.d)) % 0.36/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)) % 0.36/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Earithmetic_2E_2D_2E2 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.36/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.mono_2Ec_2Earithmetic_2E_3C_3D_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29) % 0.36/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)) % 0.36/0.66 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.c_2Ebool_2ECOND_2E0 tptp.u) % 0.36/0.66 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.c_2Ewords_2En2w_2E1 (-> tptp.du tptp.u)) % 0.36/0.66 (declare-const tptp.c_2Ewords_2Eword__2comp_2E1 (-> tptp.du tptp.u)) % 0.36/0.66 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.36/0.66 (define @t2 () (@var "A_27b" tptp.d)) % 0.36/0.66 (define @t3 () (@var "A_27a" tptp.d)) % 0.36/0.66 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.36/0.66 (define @t5 () (tptp.s @t4 @t1)) % 0.36/0.66 (define @t6 () (@var "V0f_2E0" tptp.u)) % 0.36/0.66 (define @t7 () (tptp.s @t4 @t6)) % 0.36/0.66 (define @t8 () (@var "V2x_2E0" tptp.u)) % 0.36/0.66 (define @t9 () (tptp.s @t3 @t8)) % 0.36/0.66 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.36/0.66 (define @t11 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t12 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t13 () (= @t12 @t11)) % 0.36/0.66 (define @t14 () (tptp.p @t11)) % 0.36/0.66 (define @t15 () (tptp.p @t12)) % 0.36/0.66 (define @t16 () (= @t15 @t14)) % 0.36/0.66 (define @t17 () (@list @t12 @t11)) % 0.36/0.66 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.36/0.66 (define @t19 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.36/0.66 (define @t20 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.36/0.66 (define @t21 () (not @t20)) % 0.36/0.66 (define @t22 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t23 () (= @t22 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.36/0.66 (define @t24 () (= @t22 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.36/0.66 (define @t25 () (@list @t22)) % 0.36/0.66 (define @t26 () (@var "V0x_2E0" tptp.u)) % 0.36/0.66 (define @t27 () (tptp.s @t3 @t26)) % 0.36/0.66 (define @t28 () (tptp.tyop_2Emin_2Efun @t3 @t3)) % 0.36/0.66 (define @t29 () (@list @t3 @t26)) % 0.36/0.66 (define @t30 () (@var "V1y_2E0" tptp.u)) % 0.36/0.66 (define @t31 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.36/0.66 (define @t32 () (@var "A_27c" tptp.d)) % 0.36/0.66 (define @t33 () (tptp.tyop_2Emin_2Efun @t2 @t32)) % 0.36/0.66 (define @t34 () (tptp.tyop_2Emin_2Efun @t3 @t33)) % 0.36/0.66 (define @t35 () (tptp.s @t34 @t6)) % 0.36/0.66 (define @t36 () (tptp.tyop_2Emin_2Efun @t3 @t32)) % 0.36/0.66 (define @t37 () (tptp.tyop_2Emin_2Efun @t4 @t36)) % 0.36/0.66 (define @t38 () (not @t15)) % 0.36/0.66 (define @t39 () (@list @t12)) % 0.36/0.66 (define @t40 () (@var "V1_2E0" tptp.u)) % 0.36/0.66 (define @t41 () (tptp.s @t3 @t40)) % 0.36/0.66 (define @t42 () (@var "V0_2E0" tptp.u)) % 0.36/0.66 (define @t43 () (tptp.s @t3 @t42)) % 0.36/0.66 (define @t44 () (@var "V1x_2E0" tptp.u)) % 0.36/0.66 (define @t45 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.36/0.66 (define @t46 () (tptp.s @t45 @t6)) % 0.36/0.66 (define @t47 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t46 (tptp.s @t3 @t44)))))) % 0.36/0.66 (define @t48 () (@list @t44)) % 0.36/0.66 (define @t49 () (@list @t3 @t6)) % 0.36/0.66 (define @t50 () (tptp.s tptp.tyop_2Emin_2Ebool @t42)) % 0.36/0.66 (define @t51 () (@list @t42)) % 0.36/0.66 (define @t52 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.36/0.66 (define @t53 () (tptp.s @t52 @t42)) % 0.36/0.66 (define @t54 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t52)) % 0.36/0.66 (define @t55 () (tptp.s @t54 @t42)) % 0.36/0.66 (define @t56 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum tptp.tyop_2Emin_2Ebool)) % 0.36/0.66 (define @t57 () (tptp.s @t56 @t42)) % 0.36/0.66 (define @t58 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t56)) % 0.36/0.66 (define @t59 () (tptp.s @t58 @t42)) % 0.36/0.66 (define @t60 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum tptp.tyop_2Enum_2Enum)) % 0.36/0.66 (define @t61 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t60)) % 0.36/0.66 (define @t62 () (tptp.s @t61 @t42)) % 0.36/0.66 (define @t63 () (tptp.s @t60 @t42)) % 0.36/0.66 (define @t64 () (tptp.s tptp.tyop_2Enum_2Enum @t42)) % 0.36/0.66 (define @t65 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.36/0.66 (define @t66 () (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t65))) % 0.36/0.66 (define @t67 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.36/0.66 (define @t68 () (tptp.s @t54 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t67))) % 0.36/0.66 (define @t69 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)) % 0.36/0.66 (define @t70 () (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @t69))) % 0.36/0.66 (define @t71 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29)) % 0.36/0.66 (define @t72 () (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @t71))) % 0.36/0.66 (define @t73 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29)) % 0.36/0.66 (define @t74 () (tptp.s @t61 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @t73))) % 0.36/0.66 (define @t75 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)) % 0.36/0.66 (define @t76 () (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @t75))) % 0.36/0.66 (define @t77 () (@var "V0_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t78 () (@var "X0_2E0" tptp.u)) % 0.36/0.66 (define @t79 () (tptp.s @t45 @t78)) % 0.36/0.66 (define @t80 () (tptp.tyop_2Emin_2Efun @t45 tptp.tyop_2Emin_2Ebool)) % 0.36/0.66 (define @t81 () (@list @t3 @t78)) % 0.36/0.66 (define @t82 () (@var "X1_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t83 () (@var "X0_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t84 () (@list @t83 @t82)) % 0.36/0.66 (define @t85 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t86 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t87 () (tptp.p @t85)) % 0.36/0.66 (define @t88 () (tptp.p @t86)) % 0.36/0.66 (define @t89 () (@list @t86 @t85)) % 0.36/0.66 (define @t90 () (@var "X1_2E0" tptp.u)) % 0.36/0.66 (define @t91 () (tptp.s @t3 @t90)) % 0.36/0.66 (define @t92 () (tptp.s @t3 @t78)) % 0.36/0.66 (define @t93 () (@list @t3 @t78 @t90)) % 0.36/0.66 (define @t94 () (@var "X2_2E0" tptp.u)) % 0.36/0.66 (define @t95 () (tptp.s @t3 @t94)) % 0.36/0.66 (define @t96 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t86))) % 0.36/0.66 (define @t97 () (tptp.tyop_2Emin_2Efun @t3 @t28)) % 0.36/0.66 (define @t98 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t2)) % 0.36/0.66 (define @t99 () (tptp.s @t98 @t94)) % 0.36/0.66 (define @t100 () (tptp.s @t98 @t90)) % 0.36/0.66 (define @t101 () (tptp.tyop_2Emin_2Efun @t98 @t98)) % 0.36/0.66 (define @t102 () (tptp.tyop_2Emin_2Efun @t98 @t101)) % 0.36/0.66 (define @t103 () (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t83))) % 0.36/0.66 (define @t104 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t3)) % 0.36/0.66 (define @t105 () (tptp.c_2Ewords_2En2w_2E1 @t103)) % 0.36/0.66 (define @t106 () (tptp.s @t104 @t78)) % 0.36/0.66 (define @t107 () (tptp.tyop_2Emin_2Efun @t104 @t104)) % 0.36/0.66 (define @t108 () (tptp.s @t98 @t78)) % 0.36/0.66 (define @t109 () (tptp.s @t104 @t90)) % 0.36/0.66 (define @t110 () (tptp.tyop_2Emin_2Efun @t104 @t107)) % 0.36/0.66 (define @t111 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t11))) % 0.36/0.66 (define @t112 () (@var "V1_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t113 () (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t112))) % 0.36/0.66 (define @t114 () (tptp.p @t22)) % 0.36/0.66 (define @t115 () (not @t114)) % 0.36/0.66 (define @t116 () (= (=> @t114 @t20) @t115)) % 0.36/0.66 (define @t117 () (=> @t114 @t114)) % 0.36/0.66 (define @t118 () (=> @t20 @t114)) % 0.36/0.66 (define @t119 () (=> @t114 @t19)) % 0.36/0.66 (define @t120 () (=> @t19 @t114)) % 0.36/0.66 (define @t121 () (and (= @t120 @t114) (= @t119 @t19) (= @t118 @t19) (= @t117 @t19) @t116)) % 0.36/0.66 (define @t122 () (forall @t25 @t121)) % 0.36/0.66 (define @t123 () (tptp.s @t3 @t30)) % 0.36/0.66 (define @t124 () (@var "V2t3_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t125 () (tptp.p @t124)) % 0.36/0.66 (define @t126 () (@var "V1t2_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t127 () (tptp.p @t126)) % 0.36/0.66 (define @t128 () (@var "V0t1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t129 () (tptp.p @t128)) % 0.36/0.66 (define @t130 () (@var "V3y_27_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t131 () (@var "V1x_27_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t132 () (tptp.p @t131)) % 0.36/0.66 (define @t133 () (@var "V2y_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t134 () (@var "V0x_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t135 () (@var "V5y_27_2E0" tptp.u)) % 0.36/0.66 (define @t136 () (tptp.s @t3 @t135)) % 0.36/0.66 (define @t137 () (@var "V3x_27_2E0" tptp.u)) % 0.36/0.66 (define @t138 () (tptp.s @t3 @t137)) % 0.36/0.66 (define @t139 () (@var "V1Q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t140 () (@var "V4y_2E0" tptp.u)) % 0.36/0.66 (define @t141 () (tptp.s @t3 @t140)) % 0.36/0.66 (define @t142 () (@var "V0P_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.36/0.66 (define @t143 () (tptp.p @t139)) % 0.36/0.66 (define @t144 () (@var "V3t2_2E0" tptp.u)) % 0.36/0.66 (define @t145 () (tptp.s @t3 @t144)) % 0.36/0.66 (define @t146 () (@var "V2t1_2E0" tptp.u)) % 0.36/0.66 (define @t147 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF_2E0))) % 0.36/0.66 (define @t148 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t147 (tptp.s @t3 @t146) @t145))) % 0.36/0.66 (define @t149 () (@list @t146 @t144)) % 0.36/0.66 (define @t150 () (forall @t149 (= @t148 @t145))) % 0.36/0.66 (define @t151 () (@var "V0t1_2E0" tptp.u)) % 0.36/0.66 (define @t152 () (tptp.s @t3 @t151)) % 0.36/0.66 (define @t153 () (@var "V1t2_2E0" tptp.u)) % 0.36/0.66 (define @t154 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.36/0.66 (define @t155 () (tptp.s tptp.tyop_2Emin_2Ebool @t154)) % 0.36/0.66 (define @t156 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t155 @t152 (tptp.s @t3 @t153)))) % 0.36/0.66 (define @t157 () (@list @t151 @t153)) % 0.36/0.66 (define @t158 () (forall @t157 (= @t156 @t152))) % 0.36/0.66 (define @t159 () (and @t158 @t150)) % 0.36/0.66 (define @t160 () (@list @t3)) % 0.36/0.66 (define @t161 () (forall @t160 @t159)) % 0.36/0.66 (define @t162 () (@var "V1w_2E0" tptp.u)) % 0.36/0.66 (define @t163 () (tptp.s @t104 @t162)) % 0.36/0.66 (define @t164 () (@var "V0v_2E0" tptp.u)) % 0.36/0.66 (define @t165 () (tptp.s @t104 @t164)) % 0.36/0.66 (define @t166 () (@var "V2m_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t167 () (@var "V3n_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t168 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2D_2E2 @t167 @t166))))) % 0.36/0.66 (define @t169 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2D_2E2 @t166 @t167))))) % 0.36/0.66 (define @t170 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @t167 @t166)))) % 0.36/0.66 (define @t171 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t167)))) % 0.36/0.66 (define @t172 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t166)))) % 0.36/0.66 (define @t173 () (@list @t166 @t167)) % 0.36/0.66 (define @t174 () (forall @t173 (= (tptp.s @t98 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t98 @t172) (tptp.s @t98 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t98 @t171))))) (tptp.s @t98 (tptp.c_2Ebool_2ECOND_2E3 @t170 (tptp.s @t98 @t169) (tptp.s @t98 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t98 @t168)))))))) % 0.36/0.66 (define @t175 () (@var "V1n_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t176 () (@var "V0m_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t177 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2B_2E2 @t176 @t175))))) % 0.36/0.66 (define @t178 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t175)))) % 0.36/0.66 (define @t179 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t176)))) % 0.36/0.66 (define @t180 () (@list @t176 @t175)) % 0.36/0.66 (define @t181 () (forall @t180 (= (tptp.s @t104 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t104 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t104 @t179))) (tptp.s @t104 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t104 @t178))))) (tptp.s @t104 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t104 @t177)))))) % 0.36/0.66 (define @t182 () (@list @t3 @t2)) % 0.36/0.66 (define @t183 () (forall @t182 (and @t181 @t174))) % 0.36/0.66 (define @t184 () (@var "V1b_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t185 () (@var "V0a_2E0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.36/0.66 (define @t186 () (= (tptp.s @t104 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2D_2E2 @t185 @t184))))) (tptp.s @t104 (tptp.c_2Ewords_2Eword__sub_2E2 (tptp.s @t104 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t185)))) (tptp.s @t104 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t184)))))))) % 0.36/0.66 (define @t187 () (tptp.p (tptp.mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @t184 @t185))) % 0.36/0.66 (define @t188 () (@list @t3 @t185 @t184)) % 0.36/0.66 (define @t189 () (forall @t188 (=> @t187 @t186))) % 0.36/0.66 (define @t190 () (not @t189)) % 0.36/0.66 (define @t191 () (@var "BOUND_VARIABLE_8539" tptp.d)) % 0.36/0.66 (define @t192 () (tptp.s @t191 @t144)) % 0.36/0.66 (define @t193 () (= @t192 (tptp.s @t191 (tptp.c_2Ebool_2ECOND_2E3 @t147 (tptp.s @t191 @t146) @t192)))) % 0.36/0.66 (define @t194 () (forall (@list @t191) (forall @t149 @t193))) % 0.36/0.66 (define @t195 () (@var "BOUND_VARIABLE_8529" tptp.d)) % 0.36/0.66 (define @t196 () (tptp.s @t195 @t151)) % 0.36/0.66 (define @t197 () (= @t196 (tptp.s @t195 (tptp.c_2Ebool_2ECOND_2E3 @t155 @t196 (tptp.s @t195 @t153))))) % 0.36/0.66 (define @t198 () (forall (@list @t195 @t151 @t153) @t197)) % 0.36/0.66 (define @t199 () (forall (@list @t195) (forall @t157 @t197))) % 0.36/0.66 (define @t200 () (forall @t149 (= @t145 @t148))) % 0.36/0.66 (define @t201 () (forall @t160 @t200)) % 0.36/0.66 (define @t202 () (@list @t3)) % 0.36/0.66 (define @t203 () (forall @t157 (= @t152 @t156))) % 0.36/0.66 (define @t204 () (forall @t160 @t203)) % 0.36/0.66 (define @t205 () (and @t204 @t201)) % 0.36/0.66 (define @t206 () (forall @t188 (or (not @t187) @t186))) % 0.36/0.66 (define @t207 () (@quantifiers_skolemize @t206 2)) % 0.36/0.66 (define @t208 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t207)))) % 0.36/0.66 (define @t209 () (@quantifiers_skolemize @t206 0)) % 0.36/0.66 (define @t210 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t209)) % 0.36/0.66 (define @t211 () (@quantifiers_skolemize @t206 1)) % 0.36/0.66 (define @t212 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t211)))) % 0.36/0.66 (define @t213 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2D_2E2 @t211 @t207))))) % 0.36/0.66 (define @t214 () (tptp.s @t210 @t213)) % 0.36/0.66 (define @t215 () (= @t214 (tptp.s @t210 (tptp.c_2Ewords_2Eword__sub_2E2 (tptp.s @t210 @t212) (tptp.s @t210 @t208))))) % 0.36/0.66 (define @t216 () (tptp.mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @t207 @t211)) % 0.36/0.66 (define @t217 () (tptp.p @t216)) % 0.36/0.66 (define @t218 () (not @t217)) % 0.36/0.66 (define @t219 () (or @t218 @t215)) % 0.36/0.66 (define @t220 () (@list true)) % 0.36/0.66 (define @t221 () (@list @t219)) % 0.36/0.66 (define @t222 () (@var "BOUND_VARIABLE_8578" tptp.d)) % 0.36/0.66 (define @t223 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t222)) % 0.36/0.66 (define @t224 () (= (tptp.s @t223 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t223 @t172) (tptp.s @t223 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t223 @t171))))) (tptp.s @t223 (tptp.c_2Ebool_2ECOND_2E3 @t170 (tptp.s @t223 @t169) (tptp.s @t223 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t223 @t168))))))) % 0.36/0.66 (define @t225 () (@var "BOUND_VARIABLE_8576" tptp.d)) % 0.36/0.66 (define @t226 () (forall (@list @t225 @t222 @t166 @t167) @t224)) % 0.36/0.66 (define @t227 () (forall (@list @t225 @t222) (forall @t173 @t224))) % 0.36/0.66 (define @t228 () (@var "BOUND_VARIABLE_8556" tptp.d)) % 0.36/0.66 (define @t229 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t228)) % 0.36/0.66 (define @t230 () (= (tptp.s @t229 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t229 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t229 @t179))) (tptp.s @t229 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t229 @t178))))) (tptp.s @t229 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t229 @t177))))) % 0.36/0.66 (define @t231 () (@var "BOUND_VARIABLE_8558" tptp.d)) % 0.36/0.66 (define @t232 () (forall (@list @t228 @t231 @t176 @t175) @t230)) % 0.36/0.66 (define @t233 () (forall (@list @t228 @t231) (forall @t180 @t230))) % 0.36/0.66 (define @t234 () (forall @t182 @t174)) % 0.36/0.66 (define @t235 () (@list @t3 @t2)) % 0.36/0.66 (define @t236 () (forall @t182 @t181)) % 0.36/0.66 (define @t237 () (and @t236 @t234)) % 0.36/0.66 (define @t238 () (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t210 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2D_2E2 @t207 @t211))))))) % 0.36/0.66 (define @t239 () (tptp.s @t210 @t238)) % 0.36/0.66 (define @t240 () (or (= @t38 @t14) @t13)) % 0.36/0.66 (define @t241 () (= @t19 @t218)) % 0.36/0.66 (define @t242 () (or @t241 (= @t216 tptp.mono_2Ec_2Ebool_2ET_2E0))) % 0.36/0.66 (define @t243 () (forall @t17 (or (= @t14 @t38) @t13))) % 0.36/0.66 (define @t244 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t216)) % 0.36/0.66 (define @t245 () (or @t241 @t244)) % 0.36/0.66 (define @t246 () (or @t115 @t20)) % 0.36/0.66 (define @t247 () (= @t115 @t246)) % 0.36/0.66 (define @t248 () (forall @t25 @t247)) % 0.36/0.66 (define @t249 () (@list @t22)) % 0.36/0.66 (define @t250 () (forall @t25 @t19)) % 0.36/0.66 (define @t251 () (= @t19 (or @t21 @t114))) % 0.36/0.66 (define @t252 () (forall @t25 @t251)) % 0.36/0.66 (define @t253 () (= @t19 (or @t115 @t19))) % 0.36/0.66 (define @t254 () (forall @t25 @t253)) % 0.36/0.66 (define @t255 () (not @t19)) % 0.36/0.66 (define @t256 () (= @t114 (or @t255 @t114))) % 0.36/0.66 (define @t257 () (forall @t25 @t256)) % 0.36/0.66 (define @t258 () (and @t257 @t254 @t252 @t250 @t248)) % 0.36/0.66 (define @t259 () (and @t256 @t253 @t251 (= @t19 true) (= @t246 @t115))) % 0.36/0.66 (define @t260 () (= @t19 @t117)) % 0.36/0.66 (define @t261 () (= @t19 @t118)) % 0.36/0.66 (define @t262 () (= @t19 @t119)) % 0.36/0.66 (define @t263 () (= @t114 @t120)) % 0.36/0.66 (define @t264 () (and @t263 @t262 @t261 @t260 @t116)) % 0.36/0.66 (define @t265 () (not @t241)) % 0.36/0.66 (define @t266 () (@list true false)) % 0.36/0.66 (define @t267 () (tptp.c_2Ebool_2ECOND_2E3 @t155 @t214 @t239)) % 0.36/0.66 (define @t268 () (tptp.s @t210 @t267)) % 0.36/0.66 (define @t269 () (= @t214 @t268)) % 0.36/0.66 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.36/0.66 (assume @p2 @t18) % 0.36/0.66 (assume @p3 @t19) % 0.36/0.66 (assume @p4 @t21) % 0.36/0.66 (assume @p5 (forall @t25 (or @t24 @t23))) % 0.36/0.66 (assume @p6 (forall @t29 (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t28 tptp.combin_i_2E0) @t27)) @t27))) % 0.36/0.66 (assume @p7 (forall (@list @t3 @t2 @t26 @t30) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t31 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t31) tptp.combin_k_2E0) @t27)) (tptp.s @t2 @t30))) @t27))) % 0.36/0.66 (assume @p8 (forall (@list @t3 @t2 @t32 @t6 @t1 @t8) (= (tptp.s @t32 (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s @t37 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t34 @t37) tptp.combin_s_2E0) @t35)) @t5)) @t9)) (tptp.s @t32 (tptp.app_2E2 (tptp.s @t33 (tptp.app_2E2 @t35 @t9)) @t10))))) % 0.36/0.66 (assume @p9 (forall @t17 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t12 @t11)) (and @t15 @t14)))) % 0.36/0.66 (assume @p10 (forall @t17 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t12 @t11)) (or @t15 @t14)))) % 0.36/0.66 (assume @p11 (forall @t39 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t12)) @t38))) % 0.36/0.66 (assume @p12 (forall @t17 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t12 @t11)) (=> @t15 @t14)))) % 0.36/0.66 (assume @p13 (forall (@list @t3 @t42 @t40) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t43 @t41)))) (= @t43 @t41)))) % 0.36/0.66 (assume @p14 (forall @t49 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t46)))) (forall @t48 @t47)))) % 0.36/0.66 (assume @p15 (forall @t49 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t46)))) (exists @t48 @t47)))) % 0.36/0.66 (assume @p16 (forall @t51 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t50))) @t50))) % 0.36/0.66 (assume @p17 (forall @t51 (= (tptp.s @t52 (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 @t53))) @t53))) % 0.36/0.66 (assume @p18 (forall @t51 (= (tptp.s @t54 (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 @t55))) @t55))) % 0.36/0.66 (assume @p19 (forall @t51 (= (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @t57))) @t57))) % 0.36/0.66 (assume @p20 (forall @t51 (= (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @t59))) @t59))) % 0.36/0.66 (assume @p21 (forall @t51 (= (tptp.s @t61 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @t62))) @t62))) % 0.36/0.66 (assume @p22 (forall @t51 (= (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @t63))) @t63))) % 0.36/0.66 (assume @p23 (forall @t51 (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.j_mono_2Etyop_2Enum_2Enum @t64))) @t64))) % 0.36/0.66 (assume @p24 (forall @t39 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) @t12))) % 0.36/0.66 (assume @p25 (forall (@list @t65) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t66) @t65))) % 0.36/0.66 (assume @p26 (forall (@list @t67) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t68) @t67))) % 0.36/0.66 (assume @p27 (forall (@list @t69) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @t70) @t69))) % 0.36/0.66 (assume @p28 (forall (@list @t71) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @t72) @t71))) % 0.36/0.66 (assume @p29 (forall (@list @t73) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @t74) @t73))) % 0.36/0.66 (assume @p30 (forall (@list @t75) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @t76) @t75))) % 0.36/0.66 (assume @p31 (forall (@list @t77) (= (tptp.j_mono_2Etyop_2Enum_2Enum (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t77))) @t77))) % 0.36/0.66 (assume @p32 (forall @t81 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t79))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t80 tptp.c_2Ebool_2E_21_2E0) @t79)))))) % 0.36/0.66 (assume @p33 (forall @t84 (= (tptp.mono_2Ec_2Earithmetic_2E_2B_2E2 @t83 @t82) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 tptp.mono_2Ec_2Earithmetic_2E_2B_2E0 @t83) @t82)))) % 0.36/0.66 (assume @p34 (forall @t84 (= (tptp.mono_2Ec_2Earithmetic_2E_2D_2E2 @t83 @t82) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 tptp.mono_2Ec_2Earithmetic_2E_2D_2E0 @t83) @t82)))) % 0.36/0.66 (assume @p35 (forall @t89 (= (and @t88 @t87) (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 @t86) @t85))))) % 0.36/0.66 (assume @p36 (forall @t84 (= (tptp.mono_2Ec_2Earithmetic_2E_3C_3D_2E2 @t83 @t82) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Earithmetic_2E_3C_3D_2E0 @t83) @t82)))) % 0.36/0.66 (assume @p37 (forall @t93 (= (= @t92 @t91) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t45) tptp.c_2Emin_2E_3D_2E0) @t92)) @t91))))))) % 0.36/0.66 (assume @p38 (forall @t89 (= (=> @t88 @t87) (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 @t86) @t85))))) % 0.36/0.66 (assume @p39 (forall @t81 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t79))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t80 tptp.c_2Ebool_2E_3F_2E0) @t79)))))) % 0.36/0.66 (assume @p40 (forall (@list @t3 @t86 @t90 @t94) (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t96 @t91 @t95)) (tptp.s @t3 (tptp.app_2E2 (tptp.s @t28 (tptp.app_2E2 (tptp.s @t97 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t97) tptp.c_2Ebool_2ECOND_2E0) @t96)) @t91)) @t95))))) % 0.36/0.66 (assume @p41 (forall (@list @t2 @t86 @t90 @t94) (= (tptp.s @t98 (tptp.c_2Ebool_2ECOND_2E3 @t96 @t100 @t99)) (tptp.s @t98 (tptp.app_2E2 (tptp.s @t101 (tptp.app_2E2 (tptp.s @t102 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t102) tptp.c_2Ebool_2ECOND_2E0) @t96)) @t100)) @t99))))) % 0.36/0.66 (assume @p42 (forall @t89 (= (or @t88 @t87) (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 @t86) @t85))))) % 0.36/0.66 (assume @p43 (forall (@list @t3 @t83) (= (tptp.s @t104 @t105) (tptp.s @t104 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t104) tptp.c_2Ewords_2En2w_2E0) @t103))))) % 0.36/0.66 (assume @p44 (forall (@list @t2 @t83) (= (tptp.s @t98 @t105) (tptp.s @t98 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t98) tptp.c_2Ewords_2En2w_2E0) @t103))))) % 0.36/0.66 (assume @p45 (forall @t81 (= (tptp.s @t104 (tptp.c_2Ewords_2Eword__2comp_2E1 @t106)) (tptp.s @t104 (tptp.app_2E2 (tptp.s @t107 tptp.c_2Ewords_2Eword__2comp_2E0) @t106))))) % 0.36/0.66 (assume @p46 (forall (@list @t2 @t78) (= (tptp.s @t98 (tptp.c_2Ewords_2Eword__2comp_2E1 @t108)) (tptp.s @t98 (tptp.app_2E2 (tptp.s @t101 tptp.c_2Ewords_2Eword__2comp_2E0) @t108))))) % 0.36/0.66 (assume @p47 (forall @t93 (= (tptp.s @t104 (tptp.c_2Ewords_2Eword__add_2E2 @t106 @t109)) (tptp.s @t104 (tptp.app_2E2 (tptp.s @t107 (tptp.app_2E2 (tptp.s @t110 tptp.c_2Ewords_2Eword__add_2E0) @t106)) @t109))))) % 0.36/0.66 (assume @p48 (forall (@list @t2 @t78 @t90) (= (tptp.s @t98 (tptp.c_2Ewords_2Eword__add_2E2 @t108 @t100)) (tptp.s @t98 (tptp.app_2E2 (tptp.s @t101 (tptp.app_2E2 (tptp.s @t102 tptp.c_2Ewords_2Eword__add_2E0) @t108)) @t100))))) % 0.36/0.66 (assume @p49 (forall @t93 (= (tptp.s @t104 (tptp.c_2Ewords_2Eword__sub_2E2 @t106 @t109)) (tptp.s @t104 (tptp.app_2E2 (tptp.s @t107 (tptp.app_2E2 (tptp.s @t110 tptp.c_2Ewords_2Eword__sub_2E0) @t106)) @t109))))) % 0.36/0.66 (assume @p50 (forall (@list @t86) (= (not @t88) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t86))))) % 0.36/0.66 (assume @p51 (forall (@list @t65 @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 @t65 @t11))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t66 @t111))))) % 0.36/0.66 (assume @p52 (forall (@list @t67 @t11) (= (tptp.s @t52 (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 @t67 @t11))) (tptp.s @t52 (tptp.app_2E2 @t68 @t111))))) % 0.36/0.66 (assume @p53 (forall (@list @t69 @t112) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool @t69 @t112))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t70 @t113))))) % 0.36/0.66 (assume @p54 (forall (@list @t71 @t112) (= (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @t71 @t112))) (tptp.s @t56 (tptp.app_2E2 @t72 @t113))))) % 0.36/0.66 (assume @p55 (forall (@list @t73 @t112) (= (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @t73 @t112))) (tptp.s @t60 (tptp.app_2E2 @t74 @t113))))) % 0.36/0.66 (assume @p56 (forall (@list @t75 @t112) (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @t75 @t112))) (tptp.s tptp.tyop_2Enum_2Enum (tptp.app_2E2 @t76 @t113))))) % 0.36/0.66 (assume @p57 @t122) % 0.36/0.66 (assume @p58 (forall @t29 (= (= @t27 @t27) @t19))) % 0.36/0.66 (assume @p59 (forall (@list @t3 @t26 @t30) (= (= @t27 @t123) (= @t123 @t27)))) % 0.36/0.66 (assume @p60 (forall @t25 (and (= (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t22) @t114) (= @t24 @t114) (= (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t22) @t115) (= @t23 @t115)))) % 0.36/0.66 (assume @p61 (forall (@list @t128 @t126 @t124) (= (=> @t129 (=> @t127 @t125)) (=> (and @t129 @t127) @t125)))) % 0.36/0.66 (assume @p62 (forall (@list @t134 @t131 @t133 @t130) (=> (and (= @t134 @t131) (=> @t132 (= @t133 @t130))) (= (=> (tptp.p @t134) (tptp.p @t133)) (=> @t132 (tptp.p @t130)))))) % 0.36/0.66 (assume @p63 (forall (@list @t3 @t142 @t139 @t8 @t137 @t140 @t135) (=> (and (= @t142 @t139) (=> @t143 (= @t9 @t138)) (=> (not @t143) (= @t141 @t136))) (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t142)) @t9 @t141)) (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t139)) @t138 @t136)))))) % 0.36/0.66 (assume @p64 @t161) % 0.36/0.66 (assume @p65 (forall (@list @t3 @t164 @t162) (= (tptp.s @t104 (tptp.c_2Ewords_2Eword__sub_2E2 @t165 @t163)) (tptp.s @t104 (tptp.c_2Ewords_2Eword__add_2E2 @t165 (tptp.s @t104 (tptp.c_2Ewords_2Eword__2comp_2E1 @t163))))))) % 0.36/0.66 (assume @p66 @t183) % 0.36/0.66 (assume @p67 @t190) % 0.36/0.66 (assume @p68 true) % 0.36/0.66 (step @p69 :rule quant-merge-prenex :args ((= @t194 (forall (@list @t191 @t146 @t144) @t193)))) % 0.36/0.66 (step @p70 :rule quant-merge-prenex :args ((= @t199 @t198))) % 0.36/0.66 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((and @t199 @t194))) % 0.36/0.66 (step @p72 :rule alpha_equiv :args (@t201 @t202 (@list @t191))) % 0.36/0.66 (step @p73 :rule alpha_equiv :args (@t204 @t202 (@list @t195))) % 0.36/0.66 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t205)) % 0.36/0.66 (step @p75 :rule quant-miniscope-and :args ((= (forall @t160 (and @t203 @t200)) @t205))) % 0.36/0.66 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.66 (step @p77 :rule trans :premises (@p76 @p71)) % 0.36/0.66 (step @p78 :rule eq-symm :args (@t148 @t145)) % 0.36/0.66 (step @p79 :rule cong :premises (@p78) :args (@t150)) % 0.36/0.66 (step @p80 :rule eq-symm :args (@t156 @t152)) % 0.36/0.66 (step @p81 :rule cong :premises (@p80) :args (@t158)) % 0.36/0.66 (step @p82 :rule nary_cong :premises (@p81 @p79) :args (@t159)) % 0.36/0.66 (step @p83 :rule cong :premises (@p82) :args (@t161)) % 0.36/0.66 (step @p84 :rule trans :premises (@p83 @p77)) % 0.36/0.66 (step @p85 :rule eq_resolve :premises (@p64 @p84)) % 0.36/0.66 (step @p86 :rule and_elim :premises (@p85) :args (0)) % 0.36/0.66 (step @p87 :rule bool-impl-elim :args (@t187 @t186)) % 0.36/0.66 (step @p88 :rule cong :premises (@p87) :args (@t189)) % 0.36/0.66 (step @p89 :rule cong :premises (@p88) :args (@t190)) % 0.36/0.66 (step @p90 :rule eq_resolve :premises (@p67 @p89)) % 0.36/0.66 (step @p91 :rule skolemize :premises (@p90)) % 0.36/0.66 (step @p92 :rule cnf_or_neg :args (@t219 1)) % 0.36/0.66 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args ((not @t215) @t220 @t221)) % 0.36/0.66 (step @p94 :rule false_intro :premises (@p93)) % 0.36/0.66 (step @p95 :rule instantiate :premises (@p65) :args ((@list @t209 @t212 @t208))) % 0.36/0.66 (step @p96 :rule symm :premises (@p95)) % 0.36/0.66 (step @p97 :rule quant-unused-vars :args ((= @t226 (forall (@list @t222 @t166 @t167) @t224)))) % 0.36/0.66 (step @p98 :rule quant-merge-prenex :args ((= @t227 @t226))) % 0.36/0.66 (step @p99 :rule trans :premises (@p98 @p97)) % 0.36/0.66 (step @p100 :rule quant-unused-vars :args ((= @t232 (forall (@list @t228 @t176 @t175) @t230)))) % 0.36/0.66 (step @p101 :rule quant-merge-prenex :args ((= @t233 @t232))) % 0.36/0.66 (step @p102 :rule trans :premises (@p101 @p100)) % 0.36/0.66 (step @p103 :rule nary_cong :premises (@p102 @p99) :args ((and @t233 @t227))) % 0.36/0.66 (step @p104 :rule alpha_equiv :args (@t234 @t235 (@list @t225 @t222))) % 0.36/0.66 (step @p105 :rule alpha_equiv :args (@t236 @t235 (@list @t228 @t231))) % 0.36/0.66 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t237)) % 0.36/0.66 (step @p107 :rule quant-miniscope-and :args ((= @t183 @t237))) % 0.36/0.66 (step @p108 :rule trans :premises (@p107 @p106)) % 0.36/0.66 (step @p109 :rule trans :premises (@p108 @p103)) % 0.36/0.66 (step @p110 :rule eq_resolve :premises (@p66 @p109)) % 0.36/0.66 (step @p111 :rule and_elim :premises (@p110) :args (1)) % 0.36/0.66 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t209 @t211 @t207))) % 0.36/0.66 (step @p113 :rule symm :premises (@p112)) % 0.36/0.66 (step @p114 :rule refl :args (@t239)) % 0.36/0.66 (step @p115 :rule refl :args (@t214)) % 0.36/0.66 (step @p116 :rule refl :args (@t13)) % 0.36/0.66 (step @p117 :rule eq-symm :args (@t38 @t14)) % 0.36/0.66 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t240)) % 0.36/0.66 (step @p119 :rule cong :premises (@p118) :args ((forall @t17 @t240))) % 0.36/0.66 (step @p120 :rule refl :args (@t13)) % 0.36/0.66 (step @p121 :rule bool-not-eq-elim1 :args (@t15 @t14)) % 0.36/0.66 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t16) @t13))) % 0.36/0.66 (step @p123 :rule bool-impl-elim :args (@t16 @t13)) % 0.36/0.66 (step @p124 :rule trans :premises (@p123 @p122)) % 0.36/0.66 (step @p125 :rule cong :premises (@p124) :args (@t18)) % 0.36/0.66 (step @p126 :rule trans :premises (@p125 @p119)) % 0.36/0.66 (step @p127 :rule eq_resolve :premises (@p2 @p126)) % 0.36/0.66 (step @p128 :rule eq-symm :args (@t216 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.36/0.66 (step @p129 :rule refl :args (@t241)) % 0.36/0.66 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t242)) % 0.36/0.66 (step @p131 :rule refl :args (@t243)) % 0.36/0.66 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t243 @t242))) % 0.36/0.66 (assume-push @p213 @t243) % 0.36/0.66 (step @p134 :rule instantiate :premises (@p127) :args ((@list @t216 tptp.mono_2Ec_2Ebool_2ET_2E0))) % 0.36/0.66 (step-pop @p214 :rule scope :premises (@p134)) % 0.36/0.66 (step @p135 :rule process_scope :premises (@p214) :args (@t242)) % 0.36/0.66 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.36/0.66 (step @p138 :rule implies_elim :premises (@p137)) % 0.36/0.66 (step @p139 :rule chain_m_resolution :premises (@p138 @p127) :args (@t245 (@list false) (@list @t243))) % 0.36/0.66 (step @p140 :rule bool-double-not-elim :args (@t217)) % 0.36/0.66 (step @p141 :rule refl :args (@t219)) % 0.36/0.66 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t219 (not @t218)))) % 0.36/0.66 (step @p143 :rule cnf_or_neg :args (@t219 0)) % 0.36/0.66 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.36/0.66 (step @p145 :rule reordering :premises (@p144) :args ((or @t217 @t219))) % 0.36/0.66 (step @p146 :rule chain_m_resolution :premises (@p145 @p91) :args (@t217 @t220 @t221)) % 0.36/0.66 (step @p147 :rule alpha_equiv :args (@t248 @t249 (@list (@var "BOUND_VARIABLE_8370" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.36/0.66 (step @p148 :rule quant-unused-vars :args ((= @t250 @t19))) % 0.36/0.66 (step @p149 :rule alpha_equiv :args (@t252 @t249 (@list (@var "BOUND_VARIABLE_8362" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.36/0.66 (step @p150 :rule alpha_equiv :args (@t254 @t249 (@list (@var "BOUND_VARIABLE_8354" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.36/0.66 (step @p151 :rule alpha_equiv :args (@t257 @t249 (@list (@var "BOUND_VARIABLE_8347" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.36/0.66 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148 @p147) :args (@t258)) % 0.36/0.66 (step @p153 :rule quant-miniscope-and :args ((= (forall @t25 (and @t256 @t253 @t251 @t19 @t247)) @t258))) % 0.36/0.66 (step @p154 :rule trans :premises (@p153 @p152)) % 0.36/0.66 (step @p155 :rule eq-symm :args (@t246 @t115)) % 0.36/0.66 (step @p156 :rule bool-eq-true :args (@t19)) % 0.36/0.66 (step @p157 :rule refl :args (@t251)) % 0.36/0.66 (step @p158 :rule refl :args (@t253)) % 0.36/0.66 (step @p159 :rule refl :args (@t256)) % 0.36/0.66 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157 @p156 @p155) :args (@t259)) % 0.36/0.66 (step @p161 :rule cong :premises (@p160) :args ((forall @t25 @t259))) % 0.36/0.66 (step @p162 :rule trans :premises (@p161 @p154)) % 0.36/0.66 (step @p163 :rule refl :args (@t115)) % 0.36/0.66 (step @p164 :rule bool-impl-elim :args (@t114 @t20)) % 0.36/0.66 (step @p165 :rule cong :premises (@p164 @p163) :args (@t116)) % 0.36/0.66 (step @p166 :rule bool-or-taut2 :args (false @t114 false false)) % 0.36/0.66 (step @p167 :rule bool-impl-elim :args (@t114 @t114)) % 0.36/0.66 (step @p168 :rule trans :premises (@p167 @p166)) % 0.36/0.66 (step @p169 :rule refl :args (@t19)) % 0.36/0.66 (step @p170 :rule cong :premises (@p169 @p168) :args (@t260)) % 0.36/0.66 (step @p171 :rule bool-impl-elim :args (@t20 @t114)) % 0.36/0.66 (step @p172 :rule cong :premises (@p169 @p171) :args (@t261)) % 0.36/0.66 (step @p173 :rule bool-impl-elim :args (@t114 @t19)) % 0.36/0.66 (step @p174 :rule cong :premises (@p169 @p173) :args (@t262)) % 0.36/0.66 (step @p175 :rule bool-impl-elim :args (@t19 @t114)) % 0.36/0.66 (step @p176 :rule refl :args (@t114)) % 0.36/0.66 (step @p177 :rule cong :premises (@p176 @p175) :args (@t263)) % 0.36/0.66 (step @p178 :rule nary_cong :premises (@p177 @p174 @p172 @p170 @p165) :args (@t264)) % 0.36/0.66 (step @p179 :rule cong :premises (@p178) :args ((forall @t25 @t264))) % 0.36/0.66 (step @p180 :rule trans :premises (@p179 @p162)) % 0.36/0.66 (step @p181 :rule refl :args (@t116)) % 0.36/0.66 (step @p182 :rule eq-symm :args (@t117 @t19)) % 0.36/0.66 (step @p183 :rule eq-symm :args (@t118 @t19)) % 0.36/0.66 (step @p184 :rule eq-symm :args (@t119 @t19)) % 0.36/0.66 (step @p185 :rule eq-symm :args (@t120 @t114)) % 0.36/0.66 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183 @p182 @p181) :args (@t121)) % 0.36/0.66 (step @p187 :rule cong :premises (@p186) :args (@t122)) % 0.36/0.66 (step @p188 :rule trans :premises (@p187 @p180)) % 0.36/0.66 (step @p189 :rule eq_resolve :premises (@p57 @p188)) % 0.36/0.66 (step @p190 :rule and_elim :premises (@p189) :args (3)) % 0.36/0.66 (step @p191 :rule cnf_equiv_pos1 :args (@t241)) % 0.36/0.66 (step @p192 :rule reordering :premises (@p191) :args ((or @t255 @t218 @t265))) % 0.36/0.66 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p146) :args (@t265 (@list false false) (@list @t19 @t217))) % 0.36/0.66 (step @p194 :rule cnf_or_pos :args (@t245)) % 0.36/0.66 (step @p195 :rule reordering :premises (@p194) :args ((or @t241 @t244 (not @t245)))) % 0.36/0.66 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p139) :args (@t244 @t266 (@list @t241 @t245))) % 0.36/0.66 (step @p197 :rule cong :premises (@p196) :args (@t154)) % 0.36/0.66 (step @p198 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.36/0.66 (step @p199 :rule cong :premises (@p198 @p197) :args (@t155)) % 0.36/0.66 (step @p200 :rule cong :premises (@p199 @p115 @p114) :args (@t267)) % 0.36/0.66 (step @p201 :rule refl :args (@t210)) % 0.36/0.66 (step @p202 :rule cong :premises (@p201 @p200) :args (@t268)) % 0.36/0.66 (step @p203 :rule trans :premises (@p202 @p113 @p96)) % 0.36/0.66 (step @p204 :rule cong :premises (@p115 @p203) :args (@t269)) % 0.36/0.66 (step @p205 :rule trans :premises (@p204 @p94)) % 0.36/0.66 (step @p206 :rule false_elim :premises (@p205)) % 0.36/0.66 (assume-push @p215 @t198) % 0.36/0.66 (step @p208 :rule instantiate :premises (@p86) :args ((@list @t210 @t213 @t238))) % 0.36/0.66 (step-pop @p216 :rule scope :premises (@p208)) % 0.36/0.66 (step @p209 :rule process_scope :premises (@p216) :args (@t269)) % 0.36/0.66 (step @p211 :rule implies_elim :premises (@p209)) % 0.36/0.66 (step @p212 false :rule chain_m_resolution :premises (@p211 @p206 @p86) :args (false @t266 (@list @t269 @t198))) % 0.36/0.66 ) % 0.36/0.66 % SZS output end Proof % 0.36/0.66 % cvc5 exiting %------------------------------------------------------------------------------