%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP013^1 : 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 : 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 08:24:35 AM UTC 2026 % Result : Theorem 0.37s 0.77s % Output : Proof 0.37s % 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. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 03:50:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TH0 % 0.37/0.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.77 % SZS status Theorem % 0.37/0.77 % SZS output start Proof % 0.37/0.77 ( % 0.37/0.77 (declare-sort tptp.mono_2Etyop_2Enum_2Enum 0) % 0.37/0.77 (declare-sort tptp.u 0) % 0.37/0.77 (declare-sort tptp.du 0) % 0.37/0.77 (declare-sort tptp.d 0) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Earithmetic_2E_2B (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (declare-const tptp.c_2Ewords_2Eword__sub_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.c_2Ewords_2Eword__add_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.c_2Ewords_2Eword__2comp_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.c_2Ewords_2En2w_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.tyop_2Efcp_2Ecart (-> tptp.d tptp.d tptp.d)) % 0.37/0.77 (declare-const tptp.c_2Ebool_2ECOND_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.i_mono_2Etyop_2Enum_2Enum (-> tptp.mono_2Etyop_2Enum_2Enum tptp.u)) % 0.37/0.77 (declare-const tptp.j_mono_2Etyop_2Enum_2Enum (-> tptp.du tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 0.37/0.77 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 0.37/0.77 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.37/0.77 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 0.37/0.77 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Earithmetic_2E_3C_3D (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum Bool)) % 0.37/0.77 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.77 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.77 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.37/0.77 (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_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum Bool) tptp.u)) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 0.37/0.77 (declare-const tptp.combin_s_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.c_2Ewords_2Eword__2comp_2E1 (-> tptp.du tptp.u)) % 0.37/0.77 (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_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum Bool)) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) % 0.37/0.77 (declare-const tptp.combin_k_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 0.37/0.77 (declare-const tptp.combin_i_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.c_2Ewords_2En2w_2E1 (-> tptp.du tptp.u)) % 0.37/0.77 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Enum_2Enum Bool)) % 0.37/0.77 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 0.37/0.77 (declare-const tptp.c_2Ewords_2Eword__add_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.77 (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_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (declare-const tptp.mono_2Ec_2Earithmetic_2E_2D (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.37/0.77 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.37/0.77 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.37/0.77 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (-> (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum) tptp.u)) % 0.37/0.77 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 0.37/0.77 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 0.37/0.77 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 0.37/0.77 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du Bool Bool Bool)) % 0.37/0.77 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> (-> Bool Bool Bool) tptp.u)) % 0.37/0.77 (declare-const tptp.tyop_2Enum_2Enum tptp.d) % 0.37/0.77 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (-> (-> tptp.mono_2Etyop_2Enum_2Enum Bool) tptp.u)) % 0.37/0.77 (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_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum) tptp.u)) % 0.37/0.77 (declare-const tptp.c_2Ewords_2Eword__sub_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.77 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (-> tptp.du tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.37/0.77 (define @t2 () (@var "A_27b" tptp.d)) % 0.37/0.77 (define @t3 () (@var "A_27a" tptp.d)) % 0.37/0.77 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 0.37/0.77 (define @t5 () (_ @t4 @t2)) % 0.37/0.77 (define @t6 () (_ tptp.s @t5)) % 0.37/0.77 (define @t7 () (_ @t6 @t1)) % 0.37/0.77 (define @t8 () (@var "V0f_2E0" tptp.u)) % 0.37/0.77 (define @t9 () (_ @t6 @t8)) % 0.37/0.77 (define @t10 () (@var "V2x_2E0" tptp.u)) % 0.37/0.77 (define @t11 () (_ tptp.s @t3)) % 0.37/0.77 (define @t12 () (_ @t11 @t10)) % 0.37/0.77 (define @t13 () (_ tptp.s @t2)) % 0.37/0.77 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 0.37/0.77 (define @t15 () (@var "V0x_2E0" tptp.u)) % 0.37/0.77 (define @t16 () (_ @t11 @t15)) % 0.37/0.77 (define @t17 () (_ @t4 @t3)) % 0.37/0.77 (define @t18 () (_ tptp.s @t17)) % 0.37/0.77 (define @t19 () (@list @t3 @t15)) % 0.37/0.77 (define @t20 () (@var "V1y_2E0" tptp.u)) % 0.37/0.77 (define @t21 () (_ tptp.tyop_2Emin_2Efun @t2)) % 0.37/0.77 (define @t22 () (_ @t21 @t3)) % 0.37/0.77 (define @t23 () (@var "A_27c" tptp.d)) % 0.37/0.77 (define @t24 () (_ @t21 @t23)) % 0.37/0.77 (define @t25 () (_ @t4 @t24)) % 0.37/0.77 (define @t26 () (_ (_ tptp.s @t25) @t8)) % 0.37/0.77 (define @t27 () (_ tptp.s @t23)) % 0.37/0.77 (define @t28 () (_ @t4 @t23)) % 0.37/0.77 (define @t29 () (_ (_ tptp.tyop_2Emin_2Efun @t5) @t28)) % 0.37/0.77 (define @t30 () (@var "V1" Bool)) % 0.37/0.77 (define @t31 () (@var "V0" Bool)) % 0.37/0.77 (define @t32 () (@list @t31 @t30)) % 0.37/0.77 (define @t33 () (@list @t31)) % 0.37/0.77 (define @t34 () (@var "V1_2E0" tptp.u)) % 0.37/0.77 (define @t35 () (_ @t11 @t34)) % 0.37/0.77 (define @t36 () (@var "V0_2E0" tptp.u)) % 0.37/0.77 (define @t37 () (_ @t11 @t36)) % 0.37/0.77 (define @t38 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 0.37/0.77 (define @t39 () (@var "V1x_2E0" tptp.u)) % 0.37/0.77 (define @t40 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 0.37/0.77 (define @t41 () (_ tptp.s @t40)) % 0.37/0.77 (define @t42 () (_ @t41 @t8)) % 0.37/0.77 (define @t43 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 @t42) (_ @t11 @t39))))) % 0.37/0.77 (define @t44 () (@list @t39)) % 0.37/0.77 (define @t45 () (@list @t3 @t8)) % 0.37/0.77 (define @t46 () (_ @t38 @t36)) % 0.37/0.77 (define @t47 () (@list @t36)) % 0.37/0.77 (define @t48 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 0.37/0.77 (define @t49 () (_ @t48 tptp.tyop_2Emin_2Ebool)) % 0.37/0.77 (define @t50 () (_ tptp.s @t49)) % 0.37/0.77 (define @t51 () (_ @t50 @t36)) % 0.37/0.77 (define @t52 () (_ tptp.s (_ @t48 @t49))) % 0.37/0.77 (define @t53 () (_ @t52 @t36)) % 0.37/0.77 (define @t54 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum)) % 0.37/0.77 (define @t55 () (_ @t54 tptp.tyop_2Emin_2Ebool)) % 0.37/0.77 (define @t56 () (_ tptp.s @t55)) % 0.37/0.77 (define @t57 () (_ @t56 @t36)) % 0.37/0.77 (define @t58 () (_ tptp.s (_ @t54 @t55))) % 0.37/0.77 (define @t59 () (_ @t58 @t36)) % 0.37/0.77 (define @t60 () (_ @t54 tptp.tyop_2Enum_2Enum)) % 0.37/0.77 (define @t61 () (_ tptp.s (_ @t54 @t60))) % 0.37/0.77 (define @t62 () (_ @t61 @t36)) % 0.37/0.77 (define @t63 () (_ tptp.s @t60)) % 0.37/0.77 (define @t64 () (_ @t63 @t36)) % 0.37/0.77 (define @t65 () (_ tptp.s tptp.tyop_2Enum_2Enum)) % 0.37/0.77 (define @t66 () (_ @t65 @t36)) % 0.37/0.77 (define @t67 () (@var "V0" (-> Bool Bool))) % 0.37/0.77 (define @t68 () (_ @t50 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t67))) % 0.37/0.77 (define @t69 () (@var "V0" (-> Bool Bool Bool))) % 0.37/0.77 (define @t70 () (_ @t52 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t69))) % 0.37/0.77 (define @t71 () (@var "V0" (-> tptp.mono_2Etyop_2Enum_2Enum Bool))) % 0.37/0.77 (define @t72 () (_ @t56 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @t71))) % 0.37/0.77 (define @t73 () (@var "V0" (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum Bool))) % 0.37/0.77 (define @t74 () (_ @t58 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @t73))) % 0.37/0.77 (define @t75 () (@var "V0" (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum))) % 0.37/0.77 (define @t76 () (_ @t61 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @t75))) % 0.37/0.77 (define @t77 () (@var "V0" (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Enum_2Enum))) % 0.37/0.77 (define @t78 () (_ @t63 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @t77))) % 0.37/0.77 (define @t79 () (@var "V0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t80 () (@var "X0_2E0" tptp.u)) % 0.37/0.77 (define @t81 () (_ @t41 @t80)) % 0.37/0.77 (define @t82 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t40) tptp.tyop_2Emin_2Ebool))) % 0.37/0.77 (define @t83 () (@list @t3 @t80)) % 0.37/0.77 (define @t84 () (@var "X1_2E0" tptp.u)) % 0.37/0.77 (define @t85 () (_ @t11 @t84)) % 0.37/0.77 (define @t86 () (_ @t11 @t80)) % 0.37/0.77 (define @t87 () (@list @t3 @t80 @t84)) % 0.37/0.77 (define @t88 () (@var "X2_2E0" tptp.u)) % 0.37/0.77 (define @t89 () (_ @t11 @t88)) % 0.37/0.77 (define @t90 () (@var "X0" Bool)) % 0.37/0.77 (define @t91 () (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t90))) % 0.37/0.77 (define @t92 () (_ @t4 @t17)) % 0.37/0.77 (define @t93 () (_ tptp.c_2Ebool_2ECOND_2E3 @t91)) % 0.37/0.77 (define @t94 () (_ tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool)) % 0.37/0.77 (define @t95 () (_ @t94 @t2)) % 0.37/0.77 (define @t96 () (_ tptp.s @t95)) % 0.37/0.77 (define @t97 () (_ @t96 @t88)) % 0.37/0.77 (define @t98 () (_ @t96 @t84)) % 0.37/0.77 (define @t99 () (_ tptp.tyop_2Emin_2Efun @t95)) % 0.37/0.77 (define @t100 () (_ @t99 @t95)) % 0.37/0.77 (define @t101 () (_ @t99 @t100)) % 0.37/0.77 (define @t102 () (_ tptp.s @t101)) % 0.37/0.77 (define @t103 () (_ tptp.s @t100)) % 0.37/0.77 (define @t104 () (@var "X0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t105 () (_ @t65 (_ tptp.i_mono_2Etyop_2Enum_2Enum @t104))) % 0.37/0.77 (define @t106 () (_ @t94 @t3)) % 0.37/0.77 (define @t107 () (_ tptp.s @t106)) % 0.37/0.77 (define @t108 () (_ tptp.c_2Ewords_2En2w_2E1 @t105)) % 0.37/0.77 (define @t109 () (_ @t107 @t80)) % 0.37/0.77 (define @t110 () (_ tptp.tyop_2Emin_2Efun @t106)) % 0.37/0.77 (define @t111 () (_ @t110 @t106)) % 0.37/0.77 (define @t112 () (_ tptp.s @t111)) % 0.37/0.77 (define @t113 () (_ @t96 @t80)) % 0.37/0.77 (define @t114 () (_ @t107 @t84)) % 0.37/0.77 (define @t115 () (_ tptp.s (_ @t110 @t111))) % 0.37/0.77 (define @t116 () (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t30))) % 0.37/0.77 (define @t117 () (_ @t67 @t30)) % 0.37/0.77 (define @t118 () (@list @t67 @t30)) % 0.37/0.77 (define @t119 () (_ @t69 @t30)) % 0.37/0.77 (define @t120 () (@list @t69 @t30)) % 0.37/0.77 (define @t121 () (@var "V1" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t122 () (_ @t65 (_ tptp.i_mono_2Etyop_2Enum_2Enum @t121))) % 0.37/0.77 (define @t123 () (_ @t71 @t121)) % 0.37/0.77 (define @t124 () (@list @t71 @t121)) % 0.37/0.77 (define @t125 () (_ @t73 @t121)) % 0.37/0.77 (define @t126 () (@list @t73 @t121)) % 0.37/0.77 (define @t127 () (_ @t75 @t121)) % 0.37/0.77 (define @t128 () (@list @t75 @t121)) % 0.37/0.77 (define @t129 () (_ @t77 @t121)) % 0.37/0.77 (define @t130 () (@list @t77 @t121)) % 0.37/0.77 (define @t131 () (@var "V0t" Bool)) % 0.37/0.77 (define @t132 () (not @t131)) % 0.37/0.77 (define @t133 () (= (=> @t131 tptp.mono_2Ec_2Ebool_2EF) @t132)) % 0.37/0.77 (define @t134 () (=> @t131 @t131)) % 0.37/0.77 (define @t135 () (=> tptp.mono_2Ec_2Ebool_2EF @t131)) % 0.37/0.77 (define @t136 () (=> @t131 tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.77 (define @t137 () (=> tptp.mono_2Ec_2Ebool_2ET @t131)) % 0.37/0.77 (define @t138 () (and (= @t137 @t131) (= @t136 tptp.mono_2Ec_2Ebool_2ET) (= @t135 tptp.mono_2Ec_2Ebool_2ET) (= @t134 tptp.mono_2Ec_2Ebool_2ET) @t133)) % 0.37/0.77 (define @t139 () (@list @t131)) % 0.37/0.77 (define @t140 () (forall @t139 @t138)) % 0.37/0.77 (define @t141 () (_ @t11 @t20)) % 0.37/0.77 (define @t142 () (@var "V2t3" Bool)) % 0.37/0.77 (define @t143 () (@var "V1t2" Bool)) % 0.37/0.77 (define @t144 () (@var "V0t1" Bool)) % 0.37/0.77 (define @t145 () (@var "V3y_27" Bool)) % 0.37/0.77 (define @t146 () (@var "V1x_27" Bool)) % 0.37/0.77 (define @t147 () (@var "V2y" Bool)) % 0.37/0.77 (define @t148 () (@var "V0x" Bool)) % 0.37/0.77 (define @t149 () (@var "V5y_27_2E0" tptp.u)) % 0.37/0.77 (define @t150 () (_ @t11 @t149)) % 0.37/0.77 (define @t151 () (@var "V3x_27_2E0" tptp.u)) % 0.37/0.77 (define @t152 () (_ @t11 @t151)) % 0.37/0.77 (define @t153 () (@var "V1Q" Bool)) % 0.37/0.77 (define @t154 () (@var "V4y_2E0" tptp.u)) % 0.37/0.77 (define @t155 () (_ @t11 @t154)) % 0.37/0.77 (define @t156 () (@var "V0P" Bool)) % 0.37/0.77 (define @t157 () (@var "V3t2_2E0" tptp.u)) % 0.37/0.77 (define @t158 () (_ @t11 @t157)) % 0.37/0.77 (define @t159 () (@var "V2t1_2E0" tptp.u)) % 0.37/0.77 (define @t160 () (_ @t11 @t159)) % 0.37/0.77 (define @t161 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF)) % 0.37/0.77 (define @t162 () (_ @t38 @t161)) % 0.37/0.77 (define @t163 () (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t162) @t160) @t158)) % 0.37/0.77 (define @t164 () (_ @t11 @t163)) % 0.37/0.77 (define @t165 () (@list @t159 @t157)) % 0.37/0.77 (define @t166 () (forall @t165 (= @t164 @t158))) % 0.37/0.77 (define @t167 () (@var "V0t1_2E0" tptp.u)) % 0.37/0.77 (define @t168 () (_ @t11 @t167)) % 0.37/0.77 (define @t169 () (@var "V1t2_2E0" tptp.u)) % 0.37/0.77 (define @t170 () (_ @t11 @t169)) % 0.37/0.77 (define @t171 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.77 (define @t172 () (_ @t38 @t171)) % 0.37/0.77 (define @t173 () (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t172) @t168) @t170)) % 0.37/0.77 (define @t174 () (_ @t11 @t173)) % 0.37/0.77 (define @t175 () (@list @t167 @t169)) % 0.37/0.77 (define @t176 () (forall @t175 (= @t174 @t168))) % 0.37/0.77 (define @t177 () (and @t176 @t166)) % 0.37/0.77 (define @t178 () (@list @t3)) % 0.37/0.77 (define @t179 () (forall @t178 @t177)) % 0.37/0.77 (define @t180 () (@var "V1w_2E0" tptp.u)) % 0.37/0.77 (define @t181 () (_ @t107 @t180)) % 0.37/0.77 (define @t182 () (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t181)) % 0.37/0.77 (define @t183 () (_ @t107 @t182)) % 0.37/0.77 (define @t184 () (@var "V0v_2E0" tptp.u)) % 0.37/0.77 (define @t185 () (_ @t107 @t184)) % 0.37/0.77 (define @t186 () (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t185) @t183)) % 0.37/0.77 (define @t187 () (_ @t107 @t186)) % 0.37/0.77 (define @t188 () (_ (_ tptp.c_2Ewords_2Eword__sub_2E2 @t185) @t181)) % 0.37/0.77 (define @t189 () (_ @t107 @t188)) % 0.37/0.77 (define @t190 () (= @t189 @t187)) % 0.37/0.77 (define @t191 () (forall (@list @t3 @t184 @t180) @t190)) % 0.37/0.77 (define @t192 () (@var "V2m" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t193 () (@var "V3n" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t194 () (_ (_ tptp.mono_2Ec_2Earithmetic_2E_2D @t193) @t192)) % 0.37/0.77 (define @t195 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t194)) % 0.37/0.77 (define @t196 () (_ @t65 @t195)) % 0.37/0.77 (define @t197 () (_ tptp.c_2Ewords_2En2w_2E1 @t196)) % 0.37/0.77 (define @t198 () (_ @t96 @t197)) % 0.37/0.77 (define @t199 () (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t198)) % 0.37/0.77 (define @t200 () (_ @t96 @t199)) % 0.37/0.77 (define @t201 () (_ (_ tptp.mono_2Ec_2Earithmetic_2E_2D @t192) @t193)) % 0.37/0.77 (define @t202 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t201)) % 0.37/0.77 (define @t203 () (_ @t65 @t202)) % 0.37/0.77 (define @t204 () (_ tptp.c_2Ewords_2En2w_2E1 @t203)) % 0.37/0.77 (define @t205 () (_ @t96 @t204)) % 0.37/0.77 (define @t206 () (_ (_ tptp.mono_2Ec_2Earithmetic_2E_3C_3D @t193) @t192)) % 0.37/0.77 (define @t207 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t206)) % 0.37/0.77 (define @t208 () (_ @t38 @t207)) % 0.37/0.77 (define @t209 () (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t208) @t205) @t200)) % 0.37/0.77 (define @t210 () (_ @t96 @t209)) % 0.37/0.77 (define @t211 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t193)) % 0.37/0.77 (define @t212 () (_ @t65 @t211)) % 0.37/0.77 (define @t213 () (_ tptp.c_2Ewords_2En2w_2E1 @t212)) % 0.37/0.77 (define @t214 () (_ @t96 @t213)) % 0.37/0.77 (define @t215 () (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t214)) % 0.37/0.77 (define @t216 () (_ @t96 @t215)) % 0.37/0.77 (define @t217 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t192)) % 0.37/0.77 (define @t218 () (_ @t65 @t217)) % 0.37/0.77 (define @t219 () (_ tptp.c_2Ewords_2En2w_2E1 @t218)) % 0.37/0.77 (define @t220 () (_ @t96 @t219)) % 0.37/0.77 (define @t221 () (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t220) @t216)) % 0.37/0.77 (define @t222 () (_ @t96 @t221)) % 0.37/0.77 (define @t223 () (= @t222 @t210)) % 0.37/0.77 (define @t224 () (@list @t192 @t193)) % 0.37/0.77 (define @t225 () (forall @t224 @t223)) % 0.37/0.77 (define @t226 () (@var "V1n" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t227 () (@var "V0m" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.77 (define @t228 () (_ (_ tptp.mono_2Ec_2Earithmetic_2E_2B @t227) @t226)) % 0.37/0.77 (define @t229 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t228)) % 0.37/0.77 (define @t230 () (_ @t65 @t229)) % 0.37/0.77 (define @t231 () (_ tptp.c_2Ewords_2En2w_2E1 @t230)) % 0.37/0.77 (define @t232 () (_ @t107 @t231)) % 0.37/0.77 (define @t233 () (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t232)) % 0.37/0.77 (define @t234 () (_ @t107 @t233)) % 0.37/0.77 (define @t235 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t226)) % 0.37/0.77 (define @t236 () (_ @t65 @t235)) % 0.37/0.77 (define @t237 () (_ tptp.c_2Ewords_2En2w_2E1 @t236)) % 0.37/0.77 (define @t238 () (_ @t107 @t237)) % 0.37/0.77 (define @t239 () (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t238)) % 0.37/0.77 (define @t240 () (_ @t107 @t239)) % 0.37/0.77 (define @t241 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t227)) % 0.37/0.77 (define @t242 () (_ @t65 @t241)) % 0.37/0.77 (define @t243 () (_ tptp.c_2Ewords_2En2w_2E1 @t242)) % 0.37/0.77 (define @t244 () (_ @t107 @t243)) % 0.37/0.77 (define @t245 () (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t244)) % 0.37/0.77 (define @t246 () (_ @t107 @t245)) % 0.37/0.77 (define @t247 () (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t246) @t240)) % 0.37/0.77 (define @t248 () (_ @t107 @t247)) % 0.37/0.77 (define @t249 () (= @t248 @t234)) % 0.37/0.77 (define @t250 () (@list @t227 @t226)) % 0.37/0.77 (define @t251 () (forall @t250 @t249)) % 0.37/0.77 (define @t252 () (and @t251 @t225)) % 0.37/0.77 (define @t253 () (@list @t3 @t2)) % 0.37/0.77 (define @t254 () (forall @t253 @t252)) % 0.37/0.78 (define @t255 () (@var "V1b" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.78 (define @t256 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t255)) % 0.37/0.78 (define @t257 () (_ @t65 @t256)) % 0.37/0.78 (define @t258 () (_ tptp.c_2Ewords_2En2w_2E1 @t257)) % 0.37/0.78 (define @t259 () (_ @t107 @t258)) % 0.37/0.78 (define @t260 () (@var "V0a" tptp.mono_2Etyop_2Enum_2Enum)) % 0.37/0.78 (define @t261 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t260)) % 0.37/0.78 (define @t262 () (_ @t65 @t261)) % 0.37/0.78 (define @t263 () (_ tptp.c_2Ewords_2En2w_2E1 @t262)) % 0.37/0.78 (define @t264 () (_ @t107 @t263)) % 0.37/0.78 (define @t265 () (_ (_ tptp.c_2Ewords_2Eword__sub_2E2 @t264) @t259)) % 0.37/0.78 (define @t266 () (_ @t107 @t265)) % 0.37/0.78 (define @t267 () (_ (_ tptp.mono_2Ec_2Earithmetic_2E_2D @t260) @t255)) % 0.37/0.78 (define @t268 () (_ tptp.i_mono_2Etyop_2Enum_2Enum @t267)) % 0.37/0.78 (define @t269 () (_ @t65 @t268)) % 0.37/0.78 (define @t270 () (_ tptp.c_2Ewords_2En2w_2E1 @t269)) % 0.37/0.78 (define @t271 () (_ @t107 @t270)) % 0.37/0.78 (define @t272 () (= @t271 @t266)) % 0.37/0.78 (define @t273 () (_ (_ tptp.mono_2Ec_2Earithmetic_2E_3C_3D @t255) @t260)) % 0.37/0.78 (define @t274 () (@list @t3 @t260 @t255)) % 0.37/0.78 (define @t275 () (forall @t274 (=> @t273 @t272))) % 0.37/0.78 (define @t276 () (not @t275)) % 0.37/0.78 (define @t277 () (tptp.i_mono_2Etyop_2Enum_2Enum @t255)) % 0.37/0.78 (define @t278 () (tptp.s tptp.tyop_2Enum_2Enum @t277)) % 0.37/0.78 (define @t279 () (tptp.c_2Ewords_2En2w_2E1 @t278)) % 0.37/0.78 (define @t280 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t3)) % 0.37/0.78 (define @t281 () (tptp.s @t280 @t279)) % 0.37/0.78 (define @t282 () (tptp.i_mono_2Etyop_2Enum_2Enum @t260)) % 0.37/0.78 (define @t283 () (tptp.s tptp.tyop_2Enum_2Enum @t282)) % 0.37/0.78 (define @t284 () (tptp.c_2Ewords_2En2w_2E1 @t283)) % 0.37/0.78 (define @t285 () (tptp.s @t280 @t284)) % 0.37/0.78 (define @t286 () (tptp.c_2Ewords_2Eword__sub_2E2 @t285 @t281)) % 0.37/0.78 (define @t287 () (tptp.s @t280 @t286)) % 0.37/0.78 (define @t288 () (_ tptp.s @t280)) % 0.37/0.78 (define @t289 () (tptp.mono_2Ec_2Earithmetic_2E_2D @t260 @t255)) % 0.37/0.78 (define @t290 () (tptp.i_mono_2Etyop_2Enum_2Enum @t289)) % 0.37/0.78 (define @t291 () (tptp.s tptp.tyop_2Enum_2Enum @t290)) % 0.37/0.78 (define @t292 () (tptp.c_2Ewords_2En2w_2E1 @t291)) % 0.37/0.78 (define @t293 () (tptp.s @t280 @t292)) % 0.37/0.78 (define @t294 () (tptp.mono_2Ec_2Earithmetic_2E_3C_3D @t255 @t260)) % 0.37/0.78 (define @t295 () (not @t273)) % 0.37/0.78 (define @t296 () (or @t295 @t272)) % 0.37/0.78 (define @t297 () (forall @t274 (or (not @t294) (= @t293 @t287)))) % 0.37/0.78 (define @t298 () (@quantifiers_skolemize @t297 2)) % 0.37/0.78 (define @t299 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t298)))) % 0.37/0.78 (define @t300 () (@quantifiers_skolemize @t297 0)) % 0.37/0.78 (define @t301 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t300)) % 0.37/0.78 (define @t302 () (tptp.s @t301 @t299)) % 0.37/0.78 (define @t303 () (@quantifiers_skolemize @t297 1)) % 0.37/0.78 (define @t304 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum @t303)))) % 0.37/0.78 (define @t305 () (tptp.s @t301 @t304)) % 0.37/0.78 (define @t306 () (tptp.s @t301 (tptp.c_2Ewords_2Eword__sub_2E2 @t305 @t302))) % 0.37/0.78 (define @t307 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2D @t303 @t298))))) % 0.37/0.78 (define @t308 () (tptp.s @t301 @t307)) % 0.37/0.78 (define @t309 () (= @t308 @t306)) % 0.37/0.78 (define @t310 () (tptp.mono_2Ec_2Earithmetic_2E_3C_3D @t298 @t303)) % 0.37/0.78 (define @t311 () (not @t310)) % 0.37/0.78 (define @t312 () (or @t311 @t309)) % 0.37/0.78 (define @t313 () (not @t309)) % 0.37/0.78 (define @t314 () (@list true)) % 0.37/0.78 (define @t315 () (@list @t312)) % 0.37/0.78 (define @t316 () (@purify true)) % 0.37/0.78 (define @t317 () (tptp.s @t280 @t180)) % 0.37/0.78 (define @t318 () (tptp.c_2Ewords_2Eword__2comp_2E1 @t317)) % 0.37/0.78 (define @t319 () (tptp.s @t280 @t318)) % 0.37/0.78 (define @t320 () (tptp.s @t280 @t184)) % 0.37/0.78 (define @t321 () (tptp.c_2Ewords_2Eword__add_2E2 @t320 @t319)) % 0.37/0.78 (define @t322 () (tptp.s @t280 @t321)) % 0.37/0.78 (define @t323 () (tptp.c_2Ewords_2Eword__sub_2E2 @t320 @t317)) % 0.37/0.78 (define @t324 () (tptp.s @t280 @t323)) % 0.37/0.78 (define @t325 () (tptp.mono_2Ec_2Earithmetic_2E_2D @t193 @t192)) % 0.37/0.78 (define @t326 () (tptp.i_mono_2Etyop_2Enum_2Enum @t325)) % 0.37/0.78 (define @t327 () (tptp.s tptp.tyop_2Enum_2Enum @t326)) % 0.37/0.78 (define @t328 () (tptp.c_2Ewords_2En2w_2E1 @t327)) % 0.37/0.78 (define @t329 () (@var "BOUND_VARIABLE_9478" tptp.d)) % 0.37/0.78 (define @t330 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t329)) % 0.37/0.78 (define @t331 () (tptp.mono_2Ec_2Earithmetic_2E_2D @t192 @t193)) % 0.37/0.78 (define @t332 () (tptp.i_mono_2Etyop_2Enum_2Enum @t331)) % 0.37/0.78 (define @t333 () (tptp.s tptp.tyop_2Enum_2Enum @t332)) % 0.37/0.78 (define @t334 () (tptp.c_2Ewords_2En2w_2E1 @t333)) % 0.37/0.78 (define @t335 () (tptp.mono_2Ec_2Earithmetic_2E_3C_3D @t193 @t192)) % 0.37/0.78 (define @t336 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t335)) % 0.37/0.78 (define @t337 () (tptp.s tptp.tyop_2Emin_2Ebool @t336)) % 0.37/0.78 (define @t338 () (tptp.i_mono_2Etyop_2Enum_2Enum @t193)) % 0.37/0.78 (define @t339 () (tptp.s tptp.tyop_2Enum_2Enum @t338)) % 0.37/0.78 (define @t340 () (tptp.c_2Ewords_2En2w_2E1 @t339)) % 0.37/0.78 (define @t341 () (tptp.i_mono_2Etyop_2Enum_2Enum @t192)) % 0.37/0.78 (define @t342 () (tptp.s tptp.tyop_2Enum_2Enum @t341)) % 0.37/0.78 (define @t343 () (tptp.c_2Ewords_2En2w_2E1 @t342)) % 0.37/0.78 (define @t344 () (= (tptp.s @t330 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t330 @t343) (tptp.s @t330 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t330 @t340))))) (tptp.s @t330 (tptp.c_2Ebool_2ECOND_2E3 @t337 (tptp.s @t330 @t334) (tptp.s @t330 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t330 @t328))))))) % 0.37/0.78 (define @t345 () (forall (@list @t329 @t192 @t193) @t344)) % 0.37/0.78 (define @t346 () (@var "BOUND_VARIABLE_9476" tptp.d)) % 0.37/0.78 (define @t347 () (forall (@list @t346 @t329 @t192 @t193) @t344)) % 0.37/0.78 (define @t348 () (forall (@list @t346 @t329) (forall @t224 @t344))) % 0.37/0.78 (define @t349 () (tptp.mono_2Ec_2Earithmetic_2E_2B @t227 @t226)) % 0.37/0.78 (define @t350 () (tptp.i_mono_2Etyop_2Enum_2Enum @t349)) % 0.37/0.78 (define @t351 () (tptp.s tptp.tyop_2Enum_2Enum @t350)) % 0.37/0.78 (define @t352 () (tptp.c_2Ewords_2En2w_2E1 @t351)) % 0.37/0.78 (define @t353 () (@var "BOUND_VARIABLE_9456" tptp.d)) % 0.37/0.78 (define @t354 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t353)) % 0.37/0.78 (define @t355 () (tptp.i_mono_2Etyop_2Enum_2Enum @t226)) % 0.37/0.78 (define @t356 () (tptp.s tptp.tyop_2Enum_2Enum @t355)) % 0.37/0.78 (define @t357 () (tptp.c_2Ewords_2En2w_2E1 @t356)) % 0.37/0.78 (define @t358 () (tptp.i_mono_2Etyop_2Enum_2Enum @t227)) % 0.37/0.78 (define @t359 () (tptp.s tptp.tyop_2Enum_2Enum @t358)) % 0.37/0.78 (define @t360 () (tptp.c_2Ewords_2En2w_2E1 @t359)) % 0.37/0.78 (define @t361 () (= (tptp.s @t354 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t354 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t354 @t360))) (tptp.s @t354 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t354 @t357))))) (tptp.s @t354 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t354 @t352))))) % 0.37/0.78 (define @t362 () (@var "BOUND_VARIABLE_9458" tptp.d)) % 0.37/0.78 (define @t363 () (forall (@list @t353 @t362 @t227 @t226) @t361)) % 0.37/0.78 (define @t364 () (forall (@list @t353 @t362) (forall @t250 @t361))) % 0.37/0.78 (define @t365 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t2)) % 0.37/0.78 (define @t366 () (tptp.s @t365 @t328)) % 0.37/0.78 (define @t367 () (tptp.c_2Ewords_2Eword__2comp_2E1 @t366)) % 0.37/0.78 (define @t368 () (tptp.s @t365 @t367)) % 0.37/0.78 (define @t369 () (tptp.s @t365 @t334)) % 0.37/0.78 (define @t370 () (tptp.c_2Ebool_2ECOND_2E3 @t337 @t369 @t368)) % 0.37/0.78 (define @t371 () (tptp.s @t365 @t370)) % 0.37/0.78 (define @t372 () (tptp.s @t365 @t340)) % 0.37/0.78 (define @t373 () (tptp.c_2Ewords_2Eword__2comp_2E1 @t372)) % 0.37/0.78 (define @t374 () (tptp.s @t365 @t373)) % 0.37/0.78 (define @t375 () (tptp.s @t365 @t343)) % 0.37/0.78 (define @t376 () (tptp.c_2Ewords_2Eword__add_2E2 @t375 @t374)) % 0.37/0.78 (define @t377 () (tptp.s @t365 @t376)) % 0.37/0.78 (define @t378 () (forall @t224 (= @t377 @t371))) % 0.37/0.78 (define @t379 () (forall @t253 @t378)) % 0.37/0.78 (define @t380 () (@list @t3 @t2)) % 0.37/0.78 (define @t381 () (tptp.s @t280 @t352)) % 0.37/0.78 (define @t382 () (tptp.c_2Ewords_2Eword__2comp_2E1 @t381)) % 0.37/0.78 (define @t383 () (tptp.s @t280 @t382)) % 0.37/0.78 (define @t384 () (tptp.s @t280 @t357)) % 0.37/0.78 (define @t385 () (tptp.c_2Ewords_2Eword__2comp_2E1 @t384)) % 0.37/0.78 (define @t386 () (tptp.s @t280 @t385)) % 0.37/0.78 (define @t387 () (tptp.s @t280 @t360)) % 0.37/0.78 (define @t388 () (tptp.c_2Ewords_2Eword__2comp_2E1 @t387)) % 0.37/0.78 (define @t389 () (tptp.s @t280 @t388)) % 0.37/0.78 (define @t390 () (tptp.c_2Ewords_2Eword__add_2E2 @t389 @t386)) % 0.37/0.78 (define @t391 () (tptp.s @t280 @t390)) % 0.37/0.78 (define @t392 () (forall @t250 (= @t391 @t383))) % 0.37/0.78 (define @t393 () (forall @t253 @t392)) % 0.37/0.78 (define @t394 () (and @t393 @t379)) % 0.37/0.78 (define @t395 () (_ tptp.s @t365)) % 0.37/0.78 (define @t396 () (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t301 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Ec_2Earithmetic_2E_2D @t298 @t303))))))) % 0.37/0.78 (define @t397 () (tptp.s @t301 @t396)) % 0.37/0.78 (define @t398 () (@purify @t310)) % 0.37/0.78 (define @t399 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t310)) % 0.37/0.78 (define @t400 () (tptp.s tptp.tyop_2Emin_2Ebool @t399)) % 0.37/0.78 (define @t401 () (tptp.c_2Ebool_2ECOND_2E3 @t400 @t308 @t397)) % 0.37/0.78 (define @t402 () (tptp.s @t301 @t401)) % 0.37/0.78 (define @t403 () (tptp.s @t301 (tptp.c_2Ewords_2Eword__add_2E2 @t305 (tptp.s @t301 (tptp.c_2Ewords_2Eword__2comp_2E1 @t302))))) % 0.37/0.78 (define @t404 () (= @t403 @t402)) % 0.37/0.78 (define @t405 () (= @t403 (tptp.s @t301 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t398)) @t308 @t397)))) % 0.37/0.78 (define @t406 () (@list false)) % 0.37/0.78 (define @t407 () (@var "BOUND_VARIABLE_9316" tptp.d)) % 0.37/0.78 (define @t408 () (tptp.s @t407 @t157)) % 0.37/0.78 (define @t409 () (tptp.s @t407 @t159)) % 0.37/0.78 (define @t410 () (not tptp.mono_2Ec_2Ebool_2EF)) % 0.37/0.78 (define @t411 () (@var "BOUND_VARIABLE_9069" Bool)) % 0.37/0.78 (define @t412 () (@list @t411)) % 0.37/0.78 (define @t413 () (or @t411 @t411)) % 0.37/0.78 (define @t414 () (forall @t412 @t411)) % 0.37/0.78 (define @t415 () (or @t410 @t414)) % 0.37/0.78 (define @t416 () (or @t410 @t411)) % 0.37/0.78 (define @t417 () (= tptp.mono_2Ec_2Ebool_2ET @t416)) % 0.37/0.78 (define @t418 () (or @t132 tptp.mono_2Ec_2Ebool_2EF)) % 0.37/0.78 (define @t419 () (= @t132 @t418)) % 0.37/0.78 (define @t420 () (forall @t139 @t419)) % 0.37/0.78 (define @t421 () (@list @t131)) % 0.37/0.78 (define @t422 () (forall @t139 tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (define @t423 () (= tptp.mono_2Ec_2Ebool_2ET (or @t410 @t131))) % 0.37/0.78 (define @t424 () (forall @t139 @t423)) % 0.37/0.78 (define @t425 () (= tptp.mono_2Ec_2Ebool_2ET (or @t132 tptp.mono_2Ec_2Ebool_2ET))) % 0.37/0.78 (define @t426 () (forall @t139 @t425)) % 0.37/0.78 (define @t427 () (= @t131 (or (not tptp.mono_2Ec_2Ebool_2ET) @t131))) % 0.37/0.78 (define @t428 () (forall @t139 @t427)) % 0.37/0.78 (define @t429 () (and @t428 @t426 @t424 @t422 @t420)) % 0.37/0.78 (define @t430 () (and @t427 @t425 @t423 (= tptp.mono_2Ec_2Ebool_2ET true) (= @t418 @t132))) % 0.37/0.78 (define @t431 () (= tptp.mono_2Ec_2Ebool_2ET @t134)) % 0.37/0.78 (define @t432 () (= tptp.mono_2Ec_2Ebool_2ET @t135)) % 0.37/0.78 (define @t433 () (= tptp.mono_2Ec_2Ebool_2ET @t136)) % 0.37/0.78 (define @t434 () (= @t131 @t137)) % 0.37/0.78 (define @t435 () (and @t434 @t433 @t432 @t431 @t133)) % 0.37/0.78 (define @t436 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF)) % 0.37/0.78 (define @t437 () (tptp.s tptp.tyop_2Emin_2Ebool @t436)) % 0.37/0.78 (define @t438 () (tptp.c_2Ebool_2ECOND_2E3 @t437 @t409 @t408)) % 0.37/0.78 (define @t439 () (tptp.s @t407 @t438)) % 0.37/0.78 (define @t440 () (= @t408 @t439)) % 0.37/0.78 (define @t441 () (forall (@list @t407 @t159 @t157) @t440)) % 0.37/0.78 (define @t442 () (@var "BOUND_VARIABLE_9306" tptp.d)) % 0.37/0.78 (define @t443 () (tptp.s @t442 @t169)) % 0.37/0.78 (define @t444 () (tptp.s @t442 @t167)) % 0.37/0.78 (define @t445 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (define @t446 () (tptp.s tptp.tyop_2Emin_2Ebool @t445)) % 0.37/0.78 (define @t447 () (tptp.c_2Ebool_2ECOND_2E3 @t446 @t444 @t443)) % 0.37/0.78 (define @t448 () (tptp.s @t442 @t447)) % 0.37/0.78 (define @t449 () (= @t444 @t448)) % 0.37/0.78 (define @t450 () (@list @t442 @t167 @t169)) % 0.37/0.78 (define @t451 () (forall @t450 @t449)) % 0.37/0.78 (define @t452 () (forall (@list @t407) (forall @t165 @t440))) % 0.37/0.78 (define @t453 () (forall (@list @t442) (forall @t175 @t449))) % 0.37/0.78 (define @t454 () (tptp.s @t3 @t157)) % 0.37/0.78 (define @t455 () (tptp.s @t3 @t159)) % 0.37/0.78 (define @t456 () (tptp.c_2Ebool_2ECOND_2E3 @t437 @t455 @t454)) % 0.37/0.78 (define @t457 () (tptp.s @t3 @t456)) % 0.37/0.78 (define @t458 () (forall @t165 (= @t454 @t457))) % 0.37/0.78 (define @t459 () (forall @t178 @t458)) % 0.37/0.78 (define @t460 () (@list @t3)) % 0.37/0.78 (define @t461 () (tptp.s @t3 @t169)) % 0.37/0.78 (define @t462 () (tptp.s @t3 @t167)) % 0.37/0.78 (define @t463 () (tptp.c_2Ebool_2ECOND_2E3 @t446 @t462 @t461)) % 0.37/0.78 (define @t464 () (tptp.s @t3 @t463)) % 0.37/0.78 (define @t465 () (forall @t175 (= @t462 @t464))) % 0.37/0.78 (define @t466 () (forall @t178 @t465)) % 0.37/0.78 (define @t467 () (and @t466 @t459)) % 0.37/0.78 (define @t468 () (= @t158 @t164)) % 0.37/0.78 (define @t469 () (= @t168 @t174)) % 0.37/0.78 (define @t470 () (tptp.i_mono_2Etyop_2Emin_2Ebool true)) % 0.37/0.78 (define @t471 () (tptp.s tptp.tyop_2Emin_2Ebool @t470)) % 0.37/0.78 (define @t472 () (tptp.c_2Ebool_2ECOND_2E3 @t471 @t308 @t397)) % 0.37/0.78 (define @t473 () (tptp.s @t301 @t472)) % 0.37/0.78 (define @t474 () (= @t308 @t473)) % 0.37/0.78 (define @t475 () (forall @t450 (= @t444 (tptp.s @t442 (tptp.c_2Ebool_2ECOND_2E3 @t471 @t444 @t443))))) % 0.37/0.78 (define @t476 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t316)) % 0.37/0.78 (define @t477 () (tptp.s tptp.tyop_2Emin_2Ebool @t476)) % 0.37/0.78 (define @t478 () (tptp.c_2Ebool_2ECOND_2E3 @t477 @t308 @t397)) % 0.37/0.78 (define @t479 () (tptp.s @t301 @t478)) % 0.37/0.78 (define @t480 () (= @t308 @t479)) % 0.37/0.78 (define @t481 () (not @t480)) % 0.37/0.78 (define @t482 () (not @t405)) % 0.37/0.78 (define @t483 () (not @t398)) % 0.37/0.78 (define @t484 () (= @t306 @t403)) % 0.37/0.78 (define @t485 () (not @t484)) % 0.37/0.78 (define @t486 () (not @t316)) % 0.37/0.78 (define @t487 () (and @t481 @t480)) % 0.37/0.78 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall (@list @t10) (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 0.37/0.78 (assume @p2 (forall @t19 (= (_ @t11 (_ (_ tptp.app_2E2 (_ @t18 tptp.combin_i_2E0)) @t16)) @t16))) % 0.37/0.78 (assume @p3 (forall (@list @t3 @t2 @t15 @t20) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t22) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t22)) tptp.combin_k_2E0)) @t16))) (_ @t13 @t20))) @t16))) % 0.37/0.78 (assume @p4 (forall (@list @t3 @t2 @t23 @t8 @t1 @t10) (= (_ @t27 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t28) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t29) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t25) @t29)) tptp.combin_s_2E0)) @t26))) @t7))) @t12)) (_ @t27 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t24) (_ (_ tptp.app_2E2 @t26) @t12))) @t14))))) % 0.37/0.78 (assume @p5 (forall @t32 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t31) @t30) (and @t31 @t30)))) % 0.37/0.78 (assume @p6 (forall @t32 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t31) @t30) (or @t31 @t30)))) % 0.37/0.78 (assume @p7 (forall @t33 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t31) (not @t31)))) % 0.37/0.78 (assume @p8 (forall @t32 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t31) @t30) (=> @t31 @t30)))) % 0.37/0.78 (assume @p9 (forall (@list @t3 @t36 @t34) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t37) @t35))) (= @t37 @t35)))) % 0.37/0.78 (assume @p10 (forall @t45 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_21_2E1 @t42))) (forall @t44 @t43)))) % 0.37/0.78 (assume @p11 (forall @t45 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_3F_2E1 @t42))) (exists @t44 @t43)))) % 0.37/0.78 (assume @p12 (forall @t47 (= (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t46))) @t46))) % 0.37/0.78 (assume @p13 (forall @t47 (= (_ @t50 (_ 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 @t51))) @t51))) % 0.37/0.78 (assume @p14 (forall @t47 (= (_ @t52 (_ 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 @t53))) @t53))) % 0.37/0.78 (assume @p15 (forall @t47 (= (_ @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))) % 0.37/0.78 (assume @p16 (forall @t47 (= (_ @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))) % 0.37/0.78 (assume @p17 (forall @t47 (= (_ @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))) % 0.37/0.78 (assume @p18 (forall @t47 (= (_ @t63 (_ 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 @t64))) @t64))) % 0.37/0.78 (assume @p19 (forall @t47 (= (_ @t65 (_ tptp.i_mono_2Etyop_2Enum_2Enum (_ tptp.j_mono_2Etyop_2Enum_2Enum @t66))) @t66))) % 0.37/0.78 (assume @p20 (forall @t33 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t31))) @t31))) % 0.37/0.78 (assume @p21 (forall (@list @t67) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t68) @t67))) % 0.37/0.78 (assume @p22 (forall (@list @t69) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t70) @t69))) % 0.37/0.78 (assume @p23 (forall (@list @t71) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @t72) @t71))) % 0.37/0.78 (assume @p24 (forall (@list @t73) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @t74) @t73))) % 0.37/0.78 (assume @p25 (forall (@list @t75) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @t76) @t75))) % 0.37/0.78 (assume @p26 (forall (@list @t77) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @t78) @t77))) % 0.37/0.78 (assume @p27 (forall (@list @t79) (= (_ tptp.j_mono_2Etyop_2Enum_2Enum (_ @t65 (_ tptp.i_mono_2Etyop_2Enum_2Enum @t79))) @t79))) % 0.37/0.78 (assume @p28 (forall @t83 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_21_2E1 @t81))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t82 tptp.c_2Ebool_2E_21_2E0)) @t81)))))) % 0.37/0.78 (assume @p29 (forall @t87 (= (= @t86 @t85) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t41 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t40)) tptp.c_2Emin_2E_3D_2E0)) @t86))) @t85)))))) % 0.37/0.78 (assume @p30 (forall @t83 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ tptp.c_2Ebool_2E_3F_2E1 @t81))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t38 (_ (_ tptp.app_2E2 (_ @t82 tptp.c_2Ebool_2E_3F_2E0)) @t81)))))) % 0.37/0.78 (assume @p31 (forall (@list @t3 @t90 @t84 @t88) (= (_ @t11 (_ (_ @t93 @t85) @t89)) (_ @t11 (_ (_ tptp.app_2E2 (_ @t18 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t92) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t48 @t92)) tptp.c_2Ebool_2ECOND_2E0)) @t91))) @t85))) @t89))))) % 0.37/0.78 (assume @p32 (forall (@list @t2 @t90 @t84 @t88) (= (_ @t96 (_ (_ @t93 @t98) @t97)) (_ @t96 (_ (_ tptp.app_2E2 (_ @t103 (_ (_ tptp.app_2E2 (_ @t102 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t48 @t101)) tptp.c_2Ebool_2ECOND_2E0)) @t91))) @t98))) @t97))))) % 0.37/0.78 (assume @p33 (forall (@list @t3 @t104) (= (_ @t107 @t108) (_ @t107 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t54 @t106)) tptp.c_2Ewords_2En2w_2E0)) @t105))))) % 0.37/0.78 (assume @p34 (forall (@list @t2 @t104) (= (_ @t96 @t108) (_ @t96 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t54 @t95)) tptp.c_2Ewords_2En2w_2E0)) @t105))))) % 0.37/0.78 (assume @p35 (forall @t83 (= (_ @t107 (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t109)) (_ @t107 (_ (_ tptp.app_2E2 (_ @t112 tptp.c_2Ewords_2Eword__2comp_2E0)) @t109))))) % 0.37/0.78 (assume @p36 (forall (@list @t2 @t80) (= (_ @t96 (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t113)) (_ @t96 (_ (_ tptp.app_2E2 (_ @t103 tptp.c_2Ewords_2Eword__2comp_2E0)) @t113))))) % 0.37/0.78 (assume @p37 (forall @t87 (= (_ @t107 (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t109) @t114)) (_ @t107 (_ (_ tptp.app_2E2 (_ @t112 (_ (_ tptp.app_2E2 (_ @t115 tptp.c_2Ewords_2Eword__add_2E0)) @t109))) @t114))))) % 0.37/0.78 (assume @p38 (forall (@list @t2 @t80 @t84) (= (_ @t96 (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t113) @t98)) (_ @t96 (_ (_ tptp.app_2E2 (_ @t103 (_ (_ tptp.app_2E2 (_ @t102 tptp.c_2Ewords_2Eword__add_2E0)) @t113))) @t98))))) % 0.37/0.78 (assume @p39 (forall @t87 (= (_ @t107 (_ (_ tptp.c_2Ewords_2Eword__sub_2E2 @t109) @t114)) (_ @t107 (_ (_ tptp.app_2E2 (_ @t112 (_ (_ tptp.app_2E2 (_ @t115 tptp.c_2Ewords_2Eword__sub_2E0)) @t109))) @t114))))) % 0.37/0.78 (assume @p40 (forall @t118 (= (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t117)) (_ @t38 (_ (_ tptp.app_2E2 @t68) @t116))))) % 0.37/0.78 (assume @p41 (forall @t120 (= (_ @t50 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t119)) (_ @t50 (_ (_ tptp.app_2E2 @t70) @t116))))) % 0.37/0.78 (assume @p42 (forall @t124 (= (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t123)) (_ @t38 (_ (_ tptp.app_2E2 @t72) @t122))))) % 0.37/0.78 (assume @p43 (forall @t126 (= (_ @t56 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @t125)) (_ @t56 (_ (_ tptp.app_2E2 @t74) @t122))))) % 0.37/0.78 (assume @p44 (forall @t128 (= (_ @t63 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @t127)) (_ @t63 (_ (_ tptp.app_2E2 @t76) @t122))))) % 0.37/0.78 (assume @p45 (forall @t130 (= (_ @t65 (_ tptp.i_mono_2Etyop_2Enum_2Enum @t129)) (_ @t65 (_ (_ tptp.app_2E2 @t78) @t122))))) % 0.37/0.78 (assume @p46 (forall @t118 (= @t117 @t117))) % 0.37/0.78 (assume @p47 (forall @t120 (= @t119 @t119))) % 0.37/0.78 (assume @p48 (forall @t124 (= @t123 @t123))) % 0.37/0.78 (assume @p49 (forall @t126 (= @t125 @t125))) % 0.37/0.78 (assume @p50 (forall @t128 (= @t127 @t127))) % 0.37/0.78 (assume @p51 (forall @t130 (= @t129 @t129))) % 0.37/0.78 (assume @p52 tptp.mono_2Ec_2Ebool_2ET) % 0.37/0.78 (assume @p53 @t140) % 0.37/0.78 (assume @p54 (forall @t19 (= (= @t16 @t16) tptp.mono_2Ec_2Ebool_2ET))) % 0.37/0.78 (assume @p55 (forall (@list @t3 @t15 @t20) (= (= @t16 @t141) (= @t141 @t16)))) % 0.37/0.78 (assume @p56 (forall @t139 (and (= (= tptp.mono_2Ec_2Ebool_2ET @t131) @t131) (= (= @t131 tptp.mono_2Ec_2Ebool_2ET) @t131) (= (= tptp.mono_2Ec_2Ebool_2EF @t131) @t132) (= (= @t131 tptp.mono_2Ec_2Ebool_2EF) @t132)))) % 0.37/0.78 (assume @p57 (forall (@list @t144 @t143 @t142) (= (=> @t144 (=> @t143 @t142)) (=> (and @t144 @t143) @t142)))) % 0.37/0.78 (assume @p58 (forall (@list @t148 @t146 @t147 @t145) (=> (and (= @t148 @t146) (=> @t146 (= @t147 @t145))) (= (=> @t148 @t147) (=> @t146 @t145))))) % 0.37/0.78 (assume @p59 (forall (@list @t3 @t156 @t153 @t10 @t151 @t154 @t149) (=> (and (= @t156 @t153) (=> @t153 (= @t12 @t152)) (=> (not @t153) (= @t155 @t150))) (= (_ @t11 (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t156))) @t12) @t155)) (_ @t11 (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 (_ @t38 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t153))) @t152) @t150)))))) % 0.37/0.78 (assume @p60 @t179) % 0.37/0.78 (assume @p61 @t191) % 0.37/0.78 (assume @p62 @t254) % 0.37/0.78 (assume @p63 @t276) % 0.37/0.78 (assume @p64 true) % 0.37/0.78 (step @p65 :rule refl :args ((tptp.s @t106 @t265))) % 0.37/0.78 (step @p66 :rule refl :args ((tptp.c_2Ewords_2Eword__sub_2E2 @t264 @t259))) % 0.37/0.78 (step @p67 :rule refl :args ((tptp.s @t106 @t258))) % 0.37/0.78 (step @p68 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t257))) % 0.37/0.78 (step @p69 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t256))) % 0.37/0.78 (step @p70 :rule refl :args (@t277)) % 0.37/0.78 (step @p71 :rule refl :args (tptp.tyop_2Enum_2Enum)) % 0.37/0.78 (step @p72 :rule cong :premises (@p71 @p70) :args (@t278)) % 0.37/0.78 (step @p73 :rule trans :premises (@p72 @p69)) % 0.37/0.78 (step @p74 :rule cong :premises (@p73) :args (@t279)) % 0.37/0.78 (step @p75 :rule trans :premises (@p74 @p68)) % 0.37/0.78 (step @p76 :rule refl :args (@t280)) % 0.37/0.78 (step @p77 :rule cong :premises (@p76 @p75) :args (@t281)) % 0.37/0.78 (step @p78 :rule trans :premises (@p77 @p67)) % 0.37/0.78 (step @p79 :rule refl :args ((tptp.s @t106 @t263))) % 0.37/0.78 (step @p80 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t262))) % 0.37/0.78 (step @p81 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t261))) % 0.37/0.78 (step @p82 :rule refl :args (@t282)) % 0.37/0.78 (step @p83 :rule cong :premises (@p71 @p82) :args (@t283)) % 0.37/0.78 (step @p84 :rule trans :premises (@p83 @p81)) % 0.37/0.78 (step @p85 :rule cong :premises (@p84) :args (@t284)) % 0.37/0.78 (step @p86 :rule trans :premises (@p85 @p80)) % 0.37/0.78 (step @p87 :rule cong :premises (@p76 @p86) :args (@t285)) % 0.37/0.78 (step @p88 :rule trans :premises (@p87 @p79)) % 0.37/0.78 (step @p89 :rule cong :premises (@p88 @p78) :args (@t286)) % 0.37/0.78 (step @p90 :rule trans :premises (@p89 @p66)) % 0.37/0.78 (step @p91 :rule cong :premises (@p76 @p90) :args (@t287)) % 0.37/0.78 (step @p92 :rule trans :premises (@p91 @p65)) % 0.37/0.78 (step @p93 :rule refl :args (tptp.s)) % 0.37/0.78 (step @p94 :rule ho_cong :premises (@p93 @p76)) % 0.37/0.78 (step @p95 :rule ho_cong :premises (@p94 @p90)) % 0.37/0.78 (step @p96 :rule cong :premises (@p95 @p92) :args ((= (_ @t288 @t286) @t287))) % 0.37/0.78 (step @p97 :rule symm :premises (@p96)) % 0.37/0.78 (step @p98 :rule refl :args (@t266)) % 0.37/0.78 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.37/0.78 (step @p100 :rule refl :args (tptp.c_2Ewords_2Eword__sub_2E2)) % 0.37/0.78 (step @p101 :rule ho_cong :premises (@p100 @p88)) % 0.37/0.78 (step @p102 :rule ho_cong :premises (@p101 @p78)) % 0.37/0.78 (step @p103 :rule cong :premises (@p102 @p90) :args ((= (_ (_ tptp.c_2Ewords_2Eword__sub_2E2 @t285) @t281) @t286))) % 0.37/0.78 (step @p104 :rule symm :premises (@p103)) % 0.37/0.78 (step @p105 :rule refl :args (@t265)) % 0.37/0.78 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.37/0.78 (step @p107 :rule ho_cong :premises (@p94 @p75)) % 0.37/0.78 (step @p108 :rule cong :premises (@p107 @p78) :args ((= (_ @t288 @t279) @t281))) % 0.37/0.78 (step @p109 :rule symm :premises (@p108)) % 0.37/0.78 (step @p110 :rule refl :args (@t259)) % 0.37/0.78 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.37/0.78 (step @p112 :rule refl :args (tptp.c_2Ewords_2En2w_2E1)) % 0.37/0.78 (step @p113 :rule ho_cong :premises (@p112 @p73)) % 0.37/0.78 (step @p114 :rule cong :premises (@p113 @p75) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t278) @t279))) % 0.37/0.78 (step @p115 :rule symm :premises (@p114)) % 0.37/0.78 (step @p116 :rule refl :args (@t258)) % 0.37/0.78 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.37/0.78 (step @p118 :rule refl :args (@t65)) % 0.37/0.78 (step @p119 :rule ho_cong :premises (@p118 @p70)) % 0.37/0.78 (step @p120 :rule cong :premises (@p119 @p73) :args ((= (_ @t65 @t277) @t278))) % 0.37/0.78 (step @p121 :rule symm :premises (@p120)) % 0.37/0.78 (step @p122 :rule refl :args (@t257)) % 0.37/0.78 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.37/0.78 (step @p124 :rule refl :args (@t256)) % 0.37/0.78 (step @p125 :rule cong :premises (@p124 @p70) :args ((= @t256 @t277))) % 0.37/0.78 (step @p126 :rule symm :premises (@p125)) % 0.37/0.78 (step @p127 :rule eq_resolve :premises (@p124 @p126)) % 0.37/0.78 (step @p128 :rule ho_cong :premises (@p118 @p127)) % 0.37/0.78 (step @p129 :rule trans :premises (@p128 @p123)) % 0.37/0.78 (step @p130 :rule ho_cong :premises (@p112 @p129)) % 0.37/0.78 (step @p131 :rule trans :premises (@p130 @p117)) % 0.37/0.78 (step @p132 :rule refl :args (@t106)) % 0.37/0.78 (step @p133 :rule cong :premises (@p132 @p76) :args ((= @t106 @t280))) % 0.37/0.78 (step @p134 :rule symm :premises (@p133)) % 0.37/0.78 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 0.37/0.78 (step @p136 :rule ho_cong :premises (@p93 @p135)) % 0.37/0.78 (step @p137 :rule ho_cong :premises (@p136 @p131)) % 0.37/0.78 (step @p138 :rule trans :premises (@p137 @p111)) % 0.37/0.78 (step @p139 :rule ho_cong :premises (@p94 @p86)) % 0.37/0.78 (step @p140 :rule cong :premises (@p139 @p88) :args ((= (_ @t288 @t284) @t285))) % 0.37/0.78 (step @p141 :rule symm :premises (@p140)) % 0.37/0.78 (step @p142 :rule refl :args (@t264)) % 0.37/0.78 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.37/0.78 (step @p144 :rule ho_cong :premises (@p112 @p84)) % 0.37/0.78 (step @p145 :rule cong :premises (@p144 @p86) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t283) @t284))) % 0.37/0.78 (step @p146 :rule symm :premises (@p145)) % 0.37/0.78 (step @p147 :rule refl :args (@t263)) % 0.37/0.78 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.37/0.78 (step @p149 :rule ho_cong :premises (@p118 @p82)) % 0.37/0.78 (step @p150 :rule cong :premises (@p149 @p84) :args ((= (_ @t65 @t282) @t283))) % 0.37/0.78 (step @p151 :rule symm :premises (@p150)) % 0.37/0.78 (step @p152 :rule refl :args (@t262)) % 0.37/0.78 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.37/0.78 (step @p154 :rule refl :args (@t261)) % 0.37/0.78 (step @p155 :rule cong :premises (@p154 @p82) :args ((= @t261 @t282))) % 0.37/0.78 (step @p156 :rule symm :premises (@p155)) % 0.37/0.78 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 0.37/0.78 (step @p158 :rule ho_cong :premises (@p118 @p157)) % 0.37/0.78 (step @p159 :rule trans :premises (@p158 @p153)) % 0.37/0.78 (step @p160 :rule ho_cong :premises (@p112 @p159)) % 0.37/0.78 (step @p161 :rule trans :premises (@p160 @p148)) % 0.37/0.78 (step @p162 :rule ho_cong :premises (@p136 @p161)) % 0.37/0.78 (step @p163 :rule trans :premises (@p162 @p143)) % 0.37/0.78 (step @p164 :rule ho_cong :premises (@p100 @p163)) % 0.37/0.78 (step @p165 :rule ho_cong :premises (@p164 @p138)) % 0.37/0.78 (step @p166 :rule trans :premises (@p165 @p106)) % 0.37/0.78 (step @p167 :rule ho_cong :premises (@p136 @p166)) % 0.37/0.78 (step @p168 :rule trans :premises (@p167 @p99)) % 0.37/0.78 (step @p169 :rule refl :args ((tptp.s @t106 @t270))) % 0.37/0.78 (step @p170 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t269))) % 0.37/0.78 (step @p171 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t268))) % 0.37/0.78 (step @p172 :rule refl :args ((tptp.i_mono_2Etyop_2Enum_2Enum @t267))) % 0.37/0.78 (step @p173 :rule refl :args (@t289)) % 0.37/0.78 (step @p174 :rule cong :premises (@p173) :args (@t290)) % 0.37/0.78 (step @p175 :rule trans :premises (@p174 @p172)) % 0.37/0.78 (step @p176 :rule cong :premises (@p71 @p175) :args (@t291)) % 0.37/0.78 (step @p177 :rule trans :premises (@p176 @p171)) % 0.37/0.78 (step @p178 :rule cong :premises (@p177) :args (@t292)) % 0.37/0.78 (step @p179 :rule trans :premises (@p178 @p170)) % 0.37/0.78 (step @p180 :rule cong :premises (@p76 @p179) :args (@t293)) % 0.37/0.78 (step @p181 :rule trans :premises (@p180 @p169)) % 0.37/0.78 (step @p182 :rule ho_cong :premises (@p94 @p179)) % 0.37/0.78 (step @p183 :rule cong :premises (@p182 @p181) :args ((= (_ @t288 @t292) @t293))) % 0.37/0.78 (step @p184 :rule symm :premises (@p183)) % 0.37/0.78 (step @p185 :rule refl :args (@t271)) % 0.37/0.78 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.37/0.78 (step @p187 :rule ho_cong :premises (@p112 @p177)) % 0.37/0.78 (step @p188 :rule cong :premises (@p187 @p179) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t291) @t292))) % 0.37/0.78 (step @p189 :rule symm :premises (@p188)) % 0.37/0.78 (step @p190 :rule refl :args (@t270)) % 0.37/0.78 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.37/0.78 (step @p192 :rule ho_cong :premises (@p118 @p175)) % 0.37/0.78 (step @p193 :rule cong :premises (@p192 @p177) :args ((= (_ @t65 @t290) @t291))) % 0.37/0.78 (step @p194 :rule symm :premises (@p193)) % 0.37/0.78 (step @p195 :rule refl :args (@t269)) % 0.37/0.78 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 0.37/0.78 (step @p197 :rule refl :args (tptp.i_mono_2Etyop_2Enum_2Enum)) % 0.37/0.78 (step @p198 :rule ho_cong :premises (@p197 @p173)) % 0.37/0.78 (step @p199 :rule cong :premises (@p198 @p175) :args ((= (_ tptp.i_mono_2Etyop_2Enum_2Enum @t289) @t290))) % 0.37/0.78 (step @p200 :rule symm :premises (@p199)) % 0.37/0.78 (step @p201 :rule refl :args (@t268)) % 0.37/0.78 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.37/0.78 (step @p203 :rule refl :args (@t267)) % 0.37/0.78 (step @p204 :rule cong :premises (@p203 @p173) :args ((= @t267 @t289))) % 0.37/0.78 (step @p205 :rule symm :premises (@p204)) % 0.37/0.78 (step @p206 :rule eq_resolve :premises (@p203 @p205)) % 0.37/0.78 (step @p207 :rule ho_cong :premises (@p197 @p206)) % 0.37/0.78 (step @p208 :rule trans :premises (@p207 @p202)) % 0.37/0.78 (step @p209 :rule ho_cong :premises (@p118 @p208)) % 0.37/0.78 (step @p210 :rule trans :premises (@p209 @p196)) % 0.37/0.78 (step @p211 :rule ho_cong :premises (@p112 @p210)) % 0.37/0.78 (step @p212 :rule trans :premises (@p211 @p191)) % 0.37/0.78 (step @p213 :rule ho_cong :premises (@p136 @p212)) % 0.37/0.78 (step @p214 :rule trans :premises (@p213 @p186)) % 0.37/0.78 (step @p215 :rule cong :premises (@p214 @p168) :args (@t272)) % 0.37/0.78 (step @p216 :rule refl :args (@t294)) % 0.37/0.78 (step @p217 :rule refl :args (@t273)) % 0.37/0.78 (step @p218 :rule cong :premises (@p217 @p216) :args ((= @t273 @t294))) % 0.37/0.78 (step @p219 :rule symm :premises (@p218)) % 0.37/0.78 (step @p220 :rule eq_resolve :premises (@p217 @p219)) % 0.37/0.78 (step @p221 :rule cong :premises (@p220) :args (@t295)) % 0.37/0.78 (step @p222 :rule nary_cong :premises (@p221 @p215) :args (@t296)) % 0.37/0.78 (step @p223 :rule cong :premises (@p222) :args ((forall @t274 @t296))) % 0.37/0.78 (step @p224 :rule bool-impl-elim :args (@t273 @t272)) % 0.37/0.78 (step @p225 :rule cong :premises (@p224) :args (@t275)) % 0.37/0.78 (step @p226 :rule trans :premises (@p225 @p223)) % 0.37/0.78 (step @p227 :rule cong :premises (@p226) :args (@t276)) % 0.37/0.78 (step @p228 :rule eq_resolve :premises (@p63 @p227)) % 0.37/0.78 (step @p229 :rule skolemize :premises (@p228)) % 0.37/0.78 (step @p230 :rule cnf_or_neg :args (@t312 1)) % 0.37/0.78 (step @p231 :rule chain_m_resolution :premises (@p230 @p229) :args (@t313 @t314 @t315)) % 0.37/0.78 (step @p232 :rule bool-eq-true :args (@t316)) % 0.37/0.78 (step @p233 :rule skolem_intro :args (@t316)) % 0.37/0.78 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 0.37/0.78 (step @p235 :rule refl :args ((tptp.s @t106 @t186))) % 0.37/0.78 (step @p236 :rule refl :args ((tptp.c_2Ewords_2Eword__add_2E2 @t185 @t183))) % 0.37/0.78 (step @p237 :rule refl :args ((tptp.s @t106 @t182))) % 0.37/0.78 (step @p238 :rule refl :args ((tptp.c_2Ewords_2Eword__2comp_2E1 @t181))) % 0.37/0.78 (step @p239 :rule refl :args ((tptp.s @t106 @t180))) % 0.37/0.78 (step @p240 :rule refl :args (@t180)) % 0.37/0.78 (step @p241 :rule cong :premises (@p76 @p240) :args (@t317)) % 0.37/0.78 (step @p242 :rule trans :premises (@p241 @p239)) % 0.37/0.78 (step @p243 :rule cong :premises (@p242) :args (@t318)) % 0.37/0.78 (step @p244 :rule trans :premises (@p243 @p238)) % 0.37/0.78 (step @p245 :rule cong :premises (@p76 @p244) :args (@t319)) % 0.37/0.78 (step @p246 :rule trans :premises (@p245 @p237)) % 0.37/0.78 (step @p247 :rule refl :args ((tptp.s @t106 @t184))) % 0.37/0.78 (step @p248 :rule refl :args (@t184)) % 0.37/0.78 (step @p249 :rule cong :premises (@p76 @p248) :args (@t320)) % 0.37/0.78 (step @p250 :rule trans :premises (@p249 @p247)) % 0.37/0.78 (step @p251 :rule cong :premises (@p250 @p246) :args (@t321)) % 0.37/0.78 (step @p252 :rule trans :premises (@p251 @p236)) % 0.37/0.78 (step @p253 :rule cong :premises (@p76 @p252) :args (@t322)) % 0.37/0.78 (step @p254 :rule trans :premises (@p253 @p235)) % 0.37/0.78 (step @p255 :rule ho_cong :premises (@p94 @p252)) % 0.37/0.78 (step @p256 :rule cong :premises (@p255 @p254) :args ((= (_ @t288 @t321) @t322))) % 0.37/0.78 (step @p257 :rule symm :premises (@p256)) % 0.37/0.78 (step @p258 :rule refl :args (@t187)) % 0.37/0.78 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 0.37/0.78 (step @p260 :rule refl :args (tptp.c_2Ewords_2Eword__add_2E2)) % 0.37/0.78 (step @p261 :rule ho_cong :premises (@p260 @p250)) % 0.37/0.78 (step @p262 :rule ho_cong :premises (@p261 @p246)) % 0.37/0.78 (step @p263 :rule cong :premises (@p262 @p252) :args ((= (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t320) @t319) @t321))) % 0.37/0.78 (step @p264 :rule symm :premises (@p263)) % 0.37/0.78 (step @p265 :rule refl :args (@t186)) % 0.37/0.78 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.37/0.78 (step @p267 :rule ho_cong :premises (@p94 @p244)) % 0.37/0.78 (step @p268 :rule cong :premises (@p267 @p246) :args ((= (_ @t288 @t318) @t319))) % 0.37/0.78 (step @p269 :rule symm :premises (@p268)) % 0.37/0.78 (step @p270 :rule refl :args (@t183)) % 0.37/0.78 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.37/0.78 (step @p272 :rule refl :args (tptp.c_2Ewords_2Eword__2comp_2E1)) % 0.37/0.78 (step @p273 :rule ho_cong :premises (@p272 @p242)) % 0.37/0.78 (step @p274 :rule cong :premises (@p273 @p244) :args ((= (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t317) @t318))) % 0.37/0.78 (step @p275 :rule symm :premises (@p274)) % 0.37/0.78 (step @p276 :rule refl :args (@t182)) % 0.37/0.78 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.37/0.78 (step @p278 :rule ho_cong :premises (@p94 @p240)) % 0.37/0.78 (step @p279 :rule cong :premises (@p278 @p242) :args ((= (_ @t288 @t180) @t317))) % 0.37/0.78 (step @p280 :rule symm :premises (@p279)) % 0.37/0.78 (step @p281 :rule refl :args (@t181)) % 0.37/0.78 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 0.37/0.78 (step @p283 :rule ho_cong :premises (@p136 @p240)) % 0.37/0.78 (step @p284 :rule trans :premises (@p283 @p282)) % 0.37/0.78 (step @p285 :rule ho_cong :premises (@p272 @p284)) % 0.37/0.78 (step @p286 :rule trans :premises (@p285 @p277)) % 0.37/0.78 (step @p287 :rule ho_cong :premises (@p136 @p286)) % 0.37/0.78 (step @p288 :rule trans :premises (@p287 @p271)) % 0.37/0.78 (step @p289 :rule ho_cong :premises (@p94 @p248)) % 0.37/0.78 (step @p290 :rule cong :premises (@p289 @p250) :args ((= (_ @t288 @t184) @t320))) % 0.37/0.78 (step @p291 :rule symm :premises (@p290)) % 0.37/0.78 (step @p292 :rule refl :args (@t185)) % 0.37/0.78 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 0.37/0.78 (step @p294 :rule ho_cong :premises (@p136 @p248)) % 0.37/0.78 (step @p295 :rule trans :premises (@p294 @p293)) % 0.37/0.78 (step @p296 :rule ho_cong :premises (@p260 @p295)) % 0.37/0.78 (step @p297 :rule ho_cong :premises (@p296 @p288)) % 0.37/0.78 (step @p298 :rule trans :premises (@p297 @p266)) % 0.37/0.78 (step @p299 :rule ho_cong :premises (@p136 @p298)) % 0.37/0.78 (step @p300 :rule trans :premises (@p299 @p259)) % 0.37/0.78 (step @p301 :rule refl :args ((tptp.s @t106 @t188))) % 0.37/0.78 (step @p302 :rule refl :args ((tptp.c_2Ewords_2Eword__sub_2E2 @t185 @t181))) % 0.37/0.78 (step @p303 :rule cong :premises (@p250 @p242) :args (@t323)) % 0.37/0.78 (step @p304 :rule trans :premises (@p303 @p302)) % 0.37/0.78 (step @p305 :rule cong :premises (@p76 @p304) :args (@t324)) % 0.37/0.78 (step @p306 :rule trans :premises (@p305 @p301)) % 0.37/0.78 (step @p307 :rule ho_cong :premises (@p94 @p304)) % 0.37/0.78 (step @p308 :rule cong :premises (@p307 @p306) :args ((= (_ @t288 @t323) @t324))) % 0.37/0.78 (step @p309 :rule symm :premises (@p308)) % 0.37/0.78 (step @p310 :rule refl :args (@t189)) % 0.37/0.78 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 0.37/0.78 (step @p312 :rule ho_cong :premises (@p100 @p250)) % 0.37/0.78 (step @p313 :rule ho_cong :premises (@p312 @p242)) % 0.37/0.78 (step @p314 :rule cong :premises (@p313 @p304) :args ((= (_ (_ tptp.c_2Ewords_2Eword__sub_2E2 @t320) @t317) @t323))) % 0.37/0.78 (step @p315 :rule symm :premises (@p314)) % 0.37/0.78 (step @p316 :rule refl :args (@t188)) % 0.37/0.78 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 0.37/0.78 (step @p318 :rule ho_cong :premises (@p100 @p295)) % 0.37/0.78 (step @p319 :rule ho_cong :premises (@p318 @p284)) % 0.37/0.78 (step @p320 :rule trans :premises (@p319 @p317)) % 0.37/0.78 (step @p321 :rule ho_cong :premises (@p136 @p320)) % 0.37/0.78 (step @p322 :rule trans :premises (@p321 @p311)) % 0.37/0.78 (step @p323 :rule cong :premises (@p322 @p300) :args (@t190)) % 0.37/0.78 (step @p324 :rule cong :premises (@p323) :args (@t191)) % 0.37/0.78 (step @p325 :rule eq_resolve :premises (@p61 @p324)) % 0.37/0.78 (step @p326 :rule instantiate :premises (@p325) :args ((@list @t300 @t304 @t299))) % 0.37/0.78 (step @p327 :rule quant-unused-vars :args ((= @t347 @t345))) % 0.37/0.78 (step @p328 :rule quant-merge-prenex :args ((= @t348 @t347))) % 0.37/0.78 (step @p329 :rule trans :premises (@p328 @p327)) % 0.37/0.78 (step @p330 :rule quant-unused-vars :args ((= @t363 (forall (@list @t353 @t227 @t226) @t361)))) % 0.37/0.78 (step @p331 :rule quant-merge-prenex :args ((= @t364 @t363))) % 0.37/0.78 (step @p332 :rule trans :premises (@p331 @p330)) % 0.37/0.78 (step @p333 :rule nary_cong :premises (@p332 @p329) :args ((and @t364 @t348))) % 0.37/0.78 (step @p334 :rule alpha_equiv :args (@t379 @t380 (@list @t346 @t329))) % 0.37/0.78 (step @p335 :rule alpha_equiv :args (@t393 @t380 (@list @t353 @t362))) % 0.37/0.78 (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t394)) % 0.37/0.78 (step @p337 :rule quant-miniscope-and :args ((= (forall @t253 (and @t392 @t378)) @t394))) % 0.37/0.78 (step @p338 :rule trans :premises (@p337 @p336)) % 0.37/0.78 (step @p339 :rule trans :premises (@p338 @p333)) % 0.37/0.78 (step @p340 :rule refl :args ((tptp.s @t95 @t209))) % 0.37/0.78 (step @p341 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t208 @t205 @t200))) % 0.37/0.78 (step @p342 :rule refl :args ((tptp.s @t95 @t199))) % 0.37/0.78 (step @p343 :rule refl :args ((tptp.c_2Ewords_2Eword__2comp_2E1 @t198))) % 0.37/0.78 (step @p344 :rule refl :args ((tptp.s @t95 @t197))) % 0.37/0.78 (step @p345 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t196))) % 0.37/0.78 (step @p346 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t195))) % 0.37/0.78 (step @p347 :rule refl :args ((tptp.i_mono_2Etyop_2Enum_2Enum @t194))) % 0.37/0.78 (step @p348 :rule refl :args (@t325)) % 0.37/0.78 (step @p349 :rule cong :premises (@p348) :args (@t326)) % 0.37/0.78 (step @p350 :rule trans :premises (@p349 @p347)) % 0.37/0.78 (step @p351 :rule cong :premises (@p71 @p350) :args (@t327)) % 0.37/0.78 (step @p352 :rule trans :premises (@p351 @p346)) % 0.37/0.78 (step @p353 :rule cong :premises (@p352) :args (@t328)) % 0.37/0.78 (step @p354 :rule trans :premises (@p353 @p345)) % 0.37/0.78 (step @p355 :rule refl :args (@t365)) % 0.37/0.78 (step @p356 :rule cong :premises (@p355 @p354) :args (@t366)) % 0.37/0.78 (step @p357 :rule trans :premises (@p356 @p344)) % 0.37/0.78 (step @p358 :rule cong :premises (@p357) :args (@t367)) % 0.37/0.78 (step @p359 :rule trans :premises (@p358 @p343)) % 0.37/0.78 (step @p360 :rule cong :premises (@p355 @p359) :args (@t368)) % 0.37/0.78 (step @p361 :rule trans :premises (@p360 @p342)) % 0.37/0.78 (step @p362 :rule refl :args ((tptp.s @t95 @t204))) % 0.37/0.78 (step @p363 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t203))) % 0.37/0.78 (step @p364 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t202))) % 0.37/0.78 (step @p365 :rule refl :args ((tptp.i_mono_2Etyop_2Enum_2Enum @t201))) % 0.37/0.78 (step @p366 :rule refl :args (@t331)) % 0.37/0.78 (step @p367 :rule cong :premises (@p366) :args (@t332)) % 0.37/0.78 (step @p368 :rule trans :premises (@p367 @p365)) % 0.37/0.78 (step @p369 :rule cong :premises (@p71 @p368) :args (@t333)) % 0.37/0.78 (step @p370 :rule trans :premises (@p369 @p364)) % 0.37/0.78 (step @p371 :rule cong :premises (@p370) :args (@t334)) % 0.37/0.78 (step @p372 :rule trans :premises (@p371 @p363)) % 0.37/0.78 (step @p373 :rule cong :premises (@p355 @p372) :args (@t369)) % 0.37/0.78 (step @p374 :rule trans :premises (@p373 @p362)) % 0.37/0.78 (step @p375 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t207))) % 0.37/0.78 (step @p376 :rule refl :args ((tptp.i_mono_2Etyop_2Emin_2Ebool @t206))) % 0.37/0.78 (step @p377 :rule refl :args (@t335)) % 0.37/0.78 (step @p378 :rule cong :premises (@p377) :args (@t336)) % 0.37/0.78 (step @p379 :rule trans :premises (@p378 @p376)) % 0.37/0.78 (step @p380 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.37/0.78 (step @p381 :rule cong :premises (@p380 @p379) :args (@t337)) % 0.37/0.78 (step @p382 :rule trans :premises (@p381 @p375)) % 0.37/0.78 (step @p383 :rule cong :premises (@p382 @p374 @p361) :args (@t370)) % 0.37/0.78 (step @p384 :rule trans :premises (@p383 @p341)) % 0.37/0.78 (step @p385 :rule cong :premises (@p355 @p384) :args (@t371)) % 0.37/0.78 (step @p386 :rule trans :premises (@p385 @p340)) % 0.37/0.78 (step @p387 :rule ho_cong :premises (@p93 @p355)) % 0.37/0.78 (step @p388 :rule ho_cong :premises (@p387 @p384)) % 0.37/0.78 (step @p389 :rule cong :premises (@p388 @p386) :args ((= (_ @t395 @t370) @t371))) % 0.37/0.78 (step @p390 :rule symm :premises (@p389)) % 0.37/0.78 (step @p391 :rule refl :args (@t210)) % 0.37/0.78 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 0.37/0.78 (step @p393 :rule refl :args (tptp.c_2Ebool_2ECOND_2E3)) % 0.37/0.78 (step @p394 :rule ho_cong :premises (@p393 @p382)) % 0.37/0.78 (step @p395 :rule ho_cong :premises (@p394 @p374)) % 0.37/0.78 (step @p396 :rule ho_cong :premises (@p395 @p361)) % 0.37/0.78 (step @p397 :rule cong :premises (@p396 @p384) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t337) @t369) @t368) @t370))) % 0.37/0.78 (step @p398 :rule symm :premises (@p397)) % 0.37/0.78 (step @p399 :rule refl :args (@t209)) % 0.37/0.78 (step @p400 :rule eq_resolve :premises (@p399 @p398)) % 0.37/0.78 (step @p401 :rule ho_cong :premises (@p387 @p359)) % 0.37/0.78 (step @p402 :rule cong :premises (@p401 @p361) :args ((= (_ @t395 @t367) @t368))) % 0.37/0.78 (step @p403 :rule symm :premises (@p402)) % 0.37/0.78 (step @p404 :rule refl :args (@t200)) % 0.37/0.78 (step @p405 :rule eq_resolve :premises (@p404 @p403)) % 0.37/0.78 (step @p406 :rule ho_cong :premises (@p272 @p357)) % 0.37/0.78 (step @p407 :rule cong :premises (@p406 @p359) :args ((= (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t366) @t367))) % 0.37/0.78 (step @p408 :rule symm :premises (@p407)) % 0.37/0.78 (step @p409 :rule refl :args (@t199)) % 0.37/0.78 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 0.37/0.78 (step @p411 :rule ho_cong :premises (@p387 @p354)) % 0.37/0.78 (step @p412 :rule cong :premises (@p411 @p357) :args ((= (_ @t395 @t328) @t366))) % 0.37/0.78 (step @p413 :rule symm :premises (@p412)) % 0.37/0.78 (step @p414 :rule refl :args (@t198)) % 0.37/0.78 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 0.37/0.78 (step @p416 :rule ho_cong :premises (@p112 @p352)) % 0.37/0.78 (step @p417 :rule cong :premises (@p416 @p354) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t327) @t328))) % 0.37/0.78 (step @p418 :rule symm :premises (@p417)) % 0.37/0.78 (step @p419 :rule refl :args (@t197)) % 0.37/0.78 (step @p420 :rule eq_resolve :premises (@p419 @p418)) % 0.37/0.78 (step @p421 :rule ho_cong :premises (@p118 @p350)) % 0.37/0.78 (step @p422 :rule cong :premises (@p421 @p352) :args ((= (_ @t65 @t326) @t327))) % 0.37/0.78 (step @p423 :rule symm :premises (@p422)) % 0.37/0.78 (step @p424 :rule refl :args (@t196)) % 0.37/0.78 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 0.37/0.78 (step @p426 :rule ho_cong :premises (@p197 @p348)) % 0.37/0.78 (step @p427 :rule cong :premises (@p426 @p350) :args ((= (_ tptp.i_mono_2Etyop_2Enum_2Enum @t325) @t326))) % 0.37/0.78 (step @p428 :rule symm :premises (@p427)) % 0.37/0.78 (step @p429 :rule refl :args (@t195)) % 0.37/0.78 (step @p430 :rule eq_resolve :premises (@p429 @p428)) % 0.37/0.78 (step @p431 :rule refl :args (@t194)) % 0.37/0.78 (step @p432 :rule cong :premises (@p431 @p348) :args ((= @t194 @t325))) % 0.37/0.78 (step @p433 :rule symm :premises (@p432)) % 0.37/0.78 (step @p434 :rule eq_resolve :premises (@p431 @p433)) % 0.37/0.78 (step @p435 :rule ho_cong :premises (@p197 @p434)) % 0.37/0.78 (step @p436 :rule trans :premises (@p435 @p430)) % 0.37/0.78 (step @p437 :rule ho_cong :premises (@p118 @p436)) % 0.37/0.78 (step @p438 :rule trans :premises (@p437 @p425)) % 0.37/0.78 (step @p439 :rule ho_cong :premises (@p112 @p438)) % 0.37/0.78 (step @p440 :rule trans :premises (@p439 @p420)) % 0.37/0.78 (step @p441 :rule refl :args (@t95)) % 0.37/0.78 (step @p442 :rule cong :premises (@p441 @p355) :args ((= @t95 @t365))) % 0.37/0.78 (step @p443 :rule symm :premises (@p442)) % 0.37/0.78 (step @p444 :rule eq_resolve :premises (@p441 @p443)) % 0.37/0.78 (step @p445 :rule ho_cong :premises (@p93 @p444)) % 0.37/0.78 (step @p446 :rule ho_cong :premises (@p445 @p440)) % 0.37/0.78 (step @p447 :rule trans :premises (@p446 @p415)) % 0.37/0.78 (step @p448 :rule ho_cong :premises (@p272 @p447)) % 0.37/0.78 (step @p449 :rule trans :premises (@p448 @p410)) % 0.37/0.78 (step @p450 :rule ho_cong :premises (@p445 @p449)) % 0.37/0.78 (step @p451 :rule trans :premises (@p450 @p405)) % 0.37/0.78 (step @p452 :rule ho_cong :premises (@p387 @p372)) % 0.37/0.78 (step @p453 :rule cong :premises (@p452 @p374) :args ((= (_ @t395 @t334) @t369))) % 0.37/0.78 (step @p454 :rule symm :premises (@p453)) % 0.37/0.78 (step @p455 :rule refl :args (@t205)) % 0.37/0.78 (step @p456 :rule eq_resolve :premises (@p455 @p454)) % 0.37/0.78 (step @p457 :rule ho_cong :premises (@p112 @p370)) % 0.37/0.78 (step @p458 :rule cong :premises (@p457 @p372) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t333) @t334))) % 0.37/0.78 (step @p459 :rule symm :premises (@p458)) % 0.37/0.78 (step @p460 :rule refl :args (@t204)) % 0.37/0.78 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 0.37/0.78 (step @p462 :rule ho_cong :premises (@p118 @p368)) % 0.37/0.78 (step @p463 :rule cong :premises (@p462 @p370) :args ((= (_ @t65 @t332) @t333))) % 0.37/0.78 (step @p464 :rule symm :premises (@p463)) % 0.37/0.78 (step @p465 :rule refl :args (@t203)) % 0.37/0.78 (step @p466 :rule eq_resolve :premises (@p465 @p464)) % 0.37/0.78 (step @p467 :rule ho_cong :premises (@p197 @p366)) % 0.37/0.78 (step @p468 :rule cong :premises (@p467 @p368) :args ((= (_ tptp.i_mono_2Etyop_2Enum_2Enum @t331) @t332))) % 0.37/0.78 (step @p469 :rule symm :premises (@p468)) % 0.37/0.78 (step @p470 :rule refl :args (@t202)) % 0.37/0.78 (step @p471 :rule eq_resolve :premises (@p470 @p469)) % 0.37/0.78 (step @p472 :rule refl :args (@t201)) % 0.37/0.78 (step @p473 :rule cong :premises (@p472 @p366) :args ((= @t201 @t331))) % 0.37/0.78 (step @p474 :rule symm :premises (@p473)) % 0.37/0.78 (step @p475 :rule eq_resolve :premises (@p472 @p474)) % 0.37/0.78 (step @p476 :rule ho_cong :premises (@p197 @p475)) % 0.37/0.78 (step @p477 :rule trans :premises (@p476 @p471)) % 0.37/0.78 (step @p478 :rule ho_cong :premises (@p118 @p477)) % 0.37/0.78 (step @p479 :rule trans :premises (@p478 @p466)) % 0.37/0.78 (step @p480 :rule ho_cong :premises (@p112 @p479)) % 0.37/0.78 (step @p481 :rule trans :premises (@p480 @p461)) % 0.37/0.78 (step @p482 :rule ho_cong :premises (@p445 @p481)) % 0.37/0.78 (step @p483 :rule trans :premises (@p482 @p456)) % 0.37/0.78 (step @p484 :rule refl :args (@t38)) % 0.37/0.78 (step @p485 :rule ho_cong :premises (@p484 @p379)) % 0.37/0.78 (step @p486 :rule cong :premises (@p485 @p382) :args ((= (_ @t38 @t336) @t337))) % 0.37/0.78 (step @p487 :rule symm :premises (@p486)) % 0.37/0.78 (step @p488 :rule refl :args (@t208)) % 0.37/0.78 (step @p489 :rule eq_resolve :premises (@p488 @p487)) % 0.37/0.78 (step @p490 :rule refl :args (tptp.i_mono_2Etyop_2Emin_2Ebool)) % 0.37/0.78 (step @p491 :rule ho_cong :premises (@p490 @p377)) % 0.37/0.78 (step @p492 :rule cong :premises (@p491 @p379) :args ((= (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t335) @t336))) % 0.37/0.78 (step @p493 :rule symm :premises (@p492)) % 0.37/0.78 (step @p494 :rule refl :args (@t207)) % 0.37/0.78 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 0.37/0.78 (step @p496 :rule refl :args (@t206)) % 0.37/0.78 (step @p497 :rule cong :premises (@p496 @p377) :args ((= @t206 @t335))) % 0.37/0.78 (step @p498 :rule symm :premises (@p497)) % 0.37/0.78 (step @p499 :rule eq_resolve :premises (@p496 @p498)) % 0.37/0.78 (step @p500 :rule ho_cong :premises (@p490 @p499)) % 0.37/0.78 (step @p501 :rule trans :premises (@p500 @p495)) % 0.37/0.78 (step @p502 :rule ho_cong :premises (@p484 @p501)) % 0.37/0.78 (step @p503 :rule trans :premises (@p502 @p489)) % 0.37/0.78 (step @p504 :rule ho_cong :premises (@p393 @p503)) % 0.37/0.78 (step @p505 :rule ho_cong :premises (@p504 @p483)) % 0.37/0.78 (step @p506 :rule ho_cong :premises (@p505 @p451)) % 0.37/0.78 (step @p507 :rule trans :premises (@p506 @p400)) % 0.37/0.78 (step @p508 :rule ho_cong :premises (@p445 @p507)) % 0.37/0.78 (step @p509 :rule trans :premises (@p508 @p392)) % 0.37/0.78 (step @p510 :rule refl :args ((tptp.s @t95 @t221))) % 0.37/0.78 (step @p511 :rule refl :args ((tptp.c_2Ewords_2Eword__add_2E2 @t220 @t216))) % 0.37/0.78 (step @p512 :rule refl :args ((tptp.s @t95 @t215))) % 0.37/0.78 (step @p513 :rule refl :args ((tptp.c_2Ewords_2Eword__2comp_2E1 @t214))) % 0.37/0.78 (step @p514 :rule refl :args ((tptp.s @t95 @t213))) % 0.37/0.78 (step @p515 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t212))) % 0.37/0.78 (step @p516 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t211))) % 0.37/0.78 (step @p517 :rule refl :args (@t338)) % 0.37/0.78 (step @p518 :rule cong :premises (@p71 @p517) :args (@t339)) % 0.37/0.78 (step @p519 :rule trans :premises (@p518 @p516)) % 0.37/0.78 (step @p520 :rule cong :premises (@p519) :args (@t340)) % 0.37/0.78 (step @p521 :rule trans :premises (@p520 @p515)) % 0.37/0.78 (step @p522 :rule cong :premises (@p355 @p521) :args (@t372)) % 0.37/0.78 (step @p523 :rule trans :premises (@p522 @p514)) % 0.37/0.78 (step @p524 :rule cong :premises (@p523) :args (@t373)) % 0.37/0.78 (step @p525 :rule trans :premises (@p524 @p513)) % 0.37/0.78 (step @p526 :rule cong :premises (@p355 @p525) :args (@t374)) % 0.37/0.78 (step @p527 :rule trans :premises (@p526 @p512)) % 0.37/0.78 (step @p528 :rule refl :args ((tptp.s @t95 @t219))) % 0.37/0.78 (step @p529 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t218))) % 0.37/0.78 (step @p530 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t217))) % 0.37/0.78 (step @p531 :rule refl :args (@t341)) % 0.37/0.78 (step @p532 :rule cong :premises (@p71 @p531) :args (@t342)) % 0.37/0.78 (step @p533 :rule trans :premises (@p532 @p530)) % 0.37/0.78 (step @p534 :rule cong :premises (@p533) :args (@t343)) % 0.37/0.78 (step @p535 :rule trans :premises (@p534 @p529)) % 0.37/0.78 (step @p536 :rule cong :premises (@p355 @p535) :args (@t375)) % 0.37/0.78 (step @p537 :rule trans :premises (@p536 @p528)) % 0.37/0.78 (step @p538 :rule cong :premises (@p537 @p527) :args (@t376)) % 0.37/0.78 (step @p539 :rule trans :premises (@p538 @p511)) % 0.37/0.78 (step @p540 :rule cong :premises (@p355 @p539) :args (@t377)) % 0.37/0.78 (step @p541 :rule trans :premises (@p540 @p510)) % 0.37/0.78 (step @p542 :rule ho_cong :premises (@p387 @p539)) % 0.37/0.78 (step @p543 :rule cong :premises (@p542 @p541) :args ((= (_ @t395 @t376) @t377))) % 0.37/0.78 (step @p544 :rule symm :premises (@p543)) % 0.37/0.78 (step @p545 :rule refl :args (@t222)) % 0.37/0.78 (step @p546 :rule eq_resolve :premises (@p545 @p544)) % 0.37/0.78 (step @p547 :rule ho_cong :premises (@p260 @p537)) % 0.37/0.78 (step @p548 :rule ho_cong :premises (@p547 @p527)) % 0.37/0.78 (step @p549 :rule cong :premises (@p548 @p539) :args ((= (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t375) @t374) @t376))) % 0.37/0.78 (step @p550 :rule symm :premises (@p549)) % 0.37/0.78 (step @p551 :rule refl :args (@t221)) % 0.37/0.78 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 0.37/0.78 (step @p553 :rule ho_cong :premises (@p387 @p525)) % 0.37/0.78 (step @p554 :rule cong :premises (@p553 @p527) :args ((= (_ @t395 @t373) @t374))) % 0.37/0.78 (step @p555 :rule symm :premises (@p554)) % 0.37/0.78 (step @p556 :rule refl :args (@t216)) % 0.37/0.78 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 0.37/0.78 (step @p558 :rule ho_cong :premises (@p272 @p523)) % 0.37/0.78 (step @p559 :rule cong :premises (@p558 @p525) :args ((= (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t372) @t373))) % 0.37/0.78 (step @p560 :rule symm :premises (@p559)) % 0.37/0.78 (step @p561 :rule refl :args (@t215)) % 0.37/0.78 (step @p562 :rule eq_resolve :premises (@p561 @p560)) % 0.37/0.78 (step @p563 :rule ho_cong :premises (@p387 @p521)) % 0.37/0.78 (step @p564 :rule cong :premises (@p563 @p523) :args ((= (_ @t395 @t340) @t372))) % 0.37/0.78 (step @p565 :rule symm :premises (@p564)) % 0.37/0.78 (step @p566 :rule refl :args (@t214)) % 0.37/0.78 (step @p567 :rule eq_resolve :premises (@p566 @p565)) % 0.37/0.78 (step @p568 :rule ho_cong :premises (@p112 @p519)) % 0.37/0.78 (step @p569 :rule cong :premises (@p568 @p521) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t339) @t340))) % 0.37/0.78 (step @p570 :rule symm :premises (@p569)) % 0.37/0.78 (step @p571 :rule refl :args (@t213)) % 0.37/0.78 (step @p572 :rule eq_resolve :premises (@p571 @p570)) % 0.37/0.78 (step @p573 :rule ho_cong :premises (@p118 @p517)) % 0.37/0.78 (step @p574 :rule cong :premises (@p573 @p519) :args ((= (_ @t65 @t338) @t339))) % 0.37/0.78 (step @p575 :rule symm :premises (@p574)) % 0.37/0.78 (step @p576 :rule refl :args (@t212)) % 0.37/0.78 (step @p577 :rule eq_resolve :premises (@p576 @p575)) % 0.37/0.78 (step @p578 :rule refl :args (@t211)) % 0.37/0.78 (step @p579 :rule cong :premises (@p578 @p517) :args ((= @t211 @t338))) % 0.37/0.78 (step @p580 :rule symm :premises (@p579)) % 0.37/0.78 (step @p581 :rule eq_resolve :premises (@p578 @p580)) % 0.37/0.78 (step @p582 :rule ho_cong :premises (@p118 @p581)) % 0.37/0.78 (step @p583 :rule trans :premises (@p582 @p577)) % 0.37/0.78 (step @p584 :rule ho_cong :premises (@p112 @p583)) % 0.37/0.78 (step @p585 :rule trans :premises (@p584 @p572)) % 0.37/0.78 (step @p586 :rule ho_cong :premises (@p445 @p585)) % 0.37/0.78 (step @p587 :rule trans :premises (@p586 @p567)) % 0.37/0.78 (step @p588 :rule ho_cong :premises (@p272 @p587)) % 0.37/0.78 (step @p589 :rule trans :premises (@p588 @p562)) % 0.37/0.78 (step @p590 :rule ho_cong :premises (@p445 @p589)) % 0.37/0.78 (step @p591 :rule trans :premises (@p590 @p557)) % 0.37/0.78 (step @p592 :rule ho_cong :premises (@p387 @p535)) % 0.37/0.78 (step @p593 :rule cong :premises (@p592 @p537) :args ((= (_ @t395 @t343) @t375))) % 0.37/0.78 (step @p594 :rule symm :premises (@p593)) % 0.37/0.78 (step @p595 :rule refl :args (@t220)) % 0.37/0.78 (step @p596 :rule eq_resolve :premises (@p595 @p594)) % 0.37/0.78 (step @p597 :rule ho_cong :premises (@p112 @p533)) % 0.37/0.78 (step @p598 :rule cong :premises (@p597 @p535) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t342) @t343))) % 0.37/0.78 (step @p599 :rule symm :premises (@p598)) % 0.37/0.78 (step @p600 :rule refl :args (@t219)) % 0.37/0.78 (step @p601 :rule eq_resolve :premises (@p600 @p599)) % 0.37/0.78 (step @p602 :rule ho_cong :premises (@p118 @p531)) % 0.37/0.78 (step @p603 :rule cong :premises (@p602 @p533) :args ((= (_ @t65 @t341) @t342))) % 0.37/0.78 (step @p604 :rule symm :premises (@p603)) % 0.37/0.78 (step @p605 :rule refl :args (@t218)) % 0.37/0.78 (step @p606 :rule eq_resolve :premises (@p605 @p604)) % 0.37/0.78 (step @p607 :rule refl :args (@t217)) % 0.37/0.78 (step @p608 :rule cong :premises (@p607 @p531) :args ((= @t217 @t341))) % 0.37/0.78 (step @p609 :rule symm :premises (@p608)) % 0.37/0.78 (step @p610 :rule eq_resolve :premises (@p607 @p609)) % 0.37/0.78 (step @p611 :rule ho_cong :premises (@p118 @p610)) % 0.37/0.78 (step @p612 :rule trans :premises (@p611 @p606)) % 0.37/0.78 (step @p613 :rule ho_cong :premises (@p112 @p612)) % 0.37/0.78 (step @p614 :rule trans :premises (@p613 @p601)) % 0.37/0.78 (step @p615 :rule ho_cong :premises (@p445 @p614)) % 0.37/0.78 (step @p616 :rule trans :premises (@p615 @p596)) % 0.37/0.78 (step @p617 :rule ho_cong :premises (@p260 @p616)) % 0.37/0.78 (step @p618 :rule ho_cong :premises (@p617 @p591)) % 0.37/0.78 (step @p619 :rule trans :premises (@p618 @p552)) % 0.37/0.78 (step @p620 :rule ho_cong :premises (@p445 @p619)) % 0.37/0.78 (step @p621 :rule trans :premises (@p620 @p546)) % 0.37/0.78 (step @p622 :rule cong :premises (@p621 @p509) :args (@t223)) % 0.37/0.78 (step @p623 :rule cong :premises (@p622) :args (@t225)) % 0.37/0.78 (step @p624 :rule refl :args ((tptp.s @t106 @t233))) % 0.37/0.78 (step @p625 :rule refl :args ((tptp.c_2Ewords_2Eword__2comp_2E1 @t232))) % 0.37/0.78 (step @p626 :rule refl :args ((tptp.s @t106 @t231))) % 0.37/0.78 (step @p627 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t230))) % 0.37/0.78 (step @p628 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t229))) % 0.37/0.78 (step @p629 :rule refl :args ((tptp.i_mono_2Etyop_2Enum_2Enum @t228))) % 0.37/0.78 (step @p630 :rule refl :args (@t349)) % 0.37/0.78 (step @p631 :rule cong :premises (@p630) :args (@t350)) % 0.37/0.78 (step @p632 :rule trans :premises (@p631 @p629)) % 0.37/0.78 (step @p633 :rule cong :premises (@p71 @p632) :args (@t351)) % 0.37/0.78 (step @p634 :rule trans :premises (@p633 @p628)) % 0.37/0.78 (step @p635 :rule cong :premises (@p634) :args (@t352)) % 0.37/0.78 (step @p636 :rule trans :premises (@p635 @p627)) % 0.37/0.78 (step @p637 :rule cong :premises (@p76 @p636) :args (@t381)) % 0.37/0.78 (step @p638 :rule trans :premises (@p637 @p626)) % 0.37/0.78 (step @p639 :rule cong :premises (@p638) :args (@t382)) % 0.37/0.78 (step @p640 :rule trans :premises (@p639 @p625)) % 0.37/0.78 (step @p641 :rule cong :premises (@p76 @p640) :args (@t383)) % 0.37/0.78 (step @p642 :rule trans :premises (@p641 @p624)) % 0.37/0.78 (step @p643 :rule ho_cong :premises (@p94 @p640)) % 0.37/0.78 (step @p644 :rule cong :premises (@p643 @p642) :args ((= (_ @t288 @t382) @t383))) % 0.37/0.78 (step @p645 :rule symm :premises (@p644)) % 0.37/0.78 (step @p646 :rule refl :args (@t234)) % 0.37/0.78 (step @p647 :rule eq_resolve :premises (@p646 @p645)) % 0.37/0.78 (step @p648 :rule ho_cong :premises (@p272 @p638)) % 0.37/0.78 (step @p649 :rule cong :premises (@p648 @p640) :args ((= (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t381) @t382))) % 0.37/0.78 (step @p650 :rule symm :premises (@p649)) % 0.37/0.78 (step @p651 :rule refl :args (@t233)) % 0.37/0.78 (step @p652 :rule eq_resolve :premises (@p651 @p650)) % 0.37/0.78 (step @p653 :rule ho_cong :premises (@p94 @p636)) % 0.37/0.78 (step @p654 :rule cong :premises (@p653 @p638) :args ((= (_ @t288 @t352) @t381))) % 0.37/0.78 (step @p655 :rule symm :premises (@p654)) % 0.37/0.78 (step @p656 :rule refl :args (@t232)) % 0.37/0.78 (step @p657 :rule eq_resolve :premises (@p656 @p655)) % 0.37/0.78 (step @p658 :rule ho_cong :premises (@p112 @p634)) % 0.37/0.78 (step @p659 :rule cong :premises (@p658 @p636) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t351) @t352))) % 0.37/0.78 (step @p660 :rule symm :premises (@p659)) % 0.37/0.78 (step @p661 :rule refl :args (@t231)) % 0.37/0.78 (step @p662 :rule eq_resolve :premises (@p661 @p660)) % 0.37/0.78 (step @p663 :rule ho_cong :premises (@p118 @p632)) % 0.37/0.78 (step @p664 :rule cong :premises (@p663 @p634) :args ((= (_ @t65 @t350) @t351))) % 0.37/0.78 (step @p665 :rule symm :premises (@p664)) % 0.37/0.78 (step @p666 :rule refl :args (@t230)) % 0.37/0.78 (step @p667 :rule eq_resolve :premises (@p666 @p665)) % 0.37/0.78 (step @p668 :rule ho_cong :premises (@p197 @p630)) % 0.37/0.78 (step @p669 :rule cong :premises (@p668 @p632) :args ((= (_ tptp.i_mono_2Etyop_2Enum_2Enum @t349) @t350))) % 0.37/0.78 (step @p670 :rule symm :premises (@p669)) % 0.37/0.78 (step @p671 :rule refl :args (@t229)) % 0.37/0.78 (step @p672 :rule eq_resolve :premises (@p671 @p670)) % 0.37/0.78 (step @p673 :rule refl :args (@t228)) % 0.37/0.78 (step @p674 :rule cong :premises (@p673 @p630) :args ((= @t228 @t349))) % 0.37/0.78 (step @p675 :rule symm :premises (@p674)) % 0.37/0.78 (step @p676 :rule eq_resolve :premises (@p673 @p675)) % 0.37/0.78 (step @p677 :rule ho_cong :premises (@p197 @p676)) % 0.37/0.78 (step @p678 :rule trans :premises (@p677 @p672)) % 0.37/0.78 (step @p679 :rule ho_cong :premises (@p118 @p678)) % 0.37/0.78 (step @p680 :rule trans :premises (@p679 @p667)) % 0.37/0.78 (step @p681 :rule ho_cong :premises (@p112 @p680)) % 0.37/0.78 (step @p682 :rule trans :premises (@p681 @p662)) % 0.37/0.78 (step @p683 :rule ho_cong :premises (@p136 @p682)) % 0.37/0.78 (step @p684 :rule trans :premises (@p683 @p657)) % 0.37/0.78 (step @p685 :rule ho_cong :premises (@p272 @p684)) % 0.37/0.78 (step @p686 :rule trans :premises (@p685 @p652)) % 0.37/0.78 (step @p687 :rule ho_cong :premises (@p136 @p686)) % 0.37/0.78 (step @p688 :rule trans :premises (@p687 @p647)) % 0.37/0.78 (step @p689 :rule refl :args ((tptp.s @t106 @t247))) % 0.37/0.78 (step @p690 :rule refl :args ((tptp.c_2Ewords_2Eword__add_2E2 @t246 @t240))) % 0.37/0.78 (step @p691 :rule refl :args ((tptp.s @t106 @t239))) % 0.37/0.78 (step @p692 :rule refl :args ((tptp.c_2Ewords_2Eword__2comp_2E1 @t238))) % 0.37/0.78 (step @p693 :rule refl :args ((tptp.s @t106 @t237))) % 0.37/0.78 (step @p694 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t236))) % 0.37/0.78 (step @p695 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t235))) % 0.37/0.78 (step @p696 :rule refl :args (@t355)) % 0.37/0.78 (step @p697 :rule cong :premises (@p71 @p696) :args (@t356)) % 0.37/0.78 (step @p698 :rule trans :premises (@p697 @p695)) % 0.37/0.78 (step @p699 :rule cong :premises (@p698) :args (@t357)) % 0.37/0.78 (step @p700 :rule trans :premises (@p699 @p694)) % 0.37/0.78 (step @p701 :rule cong :premises (@p76 @p700) :args (@t384)) % 0.37/0.78 (step @p702 :rule trans :premises (@p701 @p693)) % 0.37/0.78 (step @p703 :rule cong :premises (@p702) :args (@t385)) % 0.37/0.78 (step @p704 :rule trans :premises (@p703 @p692)) % 0.37/0.78 (step @p705 :rule cong :premises (@p76 @p704) :args (@t386)) % 0.37/0.78 (step @p706 :rule trans :premises (@p705 @p691)) % 0.37/0.78 (step @p707 :rule refl :args ((tptp.s @t106 @t245))) % 0.37/0.78 (step @p708 :rule refl :args ((tptp.c_2Ewords_2Eword__2comp_2E1 @t244))) % 0.37/0.78 (step @p709 :rule refl :args ((tptp.s @t106 @t243))) % 0.37/0.78 (step @p710 :rule refl :args ((tptp.c_2Ewords_2En2w_2E1 @t242))) % 0.37/0.78 (step @p711 :rule refl :args ((tptp.s tptp.tyop_2Enum_2Enum @t241))) % 0.37/0.78 (step @p712 :rule refl :args (@t358)) % 0.37/0.78 (step @p713 :rule cong :premises (@p71 @p712) :args (@t359)) % 0.37/0.78 (step @p714 :rule trans :premises (@p713 @p711)) % 0.37/0.78 (step @p715 :rule cong :premises (@p714) :args (@t360)) % 0.37/0.78 (step @p716 :rule trans :premises (@p715 @p710)) % 0.37/0.78 (step @p717 :rule cong :premises (@p76 @p716) :args (@t387)) % 0.37/0.78 (step @p718 :rule trans :premises (@p717 @p709)) % 0.37/0.78 (step @p719 :rule cong :premises (@p718) :args (@t388)) % 0.37/0.78 (step @p720 :rule trans :premises (@p719 @p708)) % 0.37/0.78 (step @p721 :rule cong :premises (@p76 @p720) :args (@t389)) % 0.37/0.78 (step @p722 :rule trans :premises (@p721 @p707)) % 0.37/0.78 (step @p723 :rule cong :premises (@p722 @p706) :args (@t390)) % 0.37/0.78 (step @p724 :rule trans :premises (@p723 @p690)) % 0.37/0.78 (step @p725 :rule cong :premises (@p76 @p724) :args (@t391)) % 0.37/0.78 (step @p726 :rule trans :premises (@p725 @p689)) % 0.37/0.78 (step @p727 :rule ho_cong :premises (@p94 @p724)) % 0.37/0.78 (step @p728 :rule cong :premises (@p727 @p726) :args ((= (_ @t288 @t390) @t391))) % 0.37/0.78 (step @p729 :rule symm :premises (@p728)) % 0.37/0.78 (step @p730 :rule refl :args (@t248)) % 0.37/0.78 (step @p731 :rule eq_resolve :premises (@p730 @p729)) % 0.37/0.78 (step @p732 :rule ho_cong :premises (@p260 @p722)) % 0.37/0.78 (step @p733 :rule ho_cong :premises (@p732 @p706)) % 0.37/0.78 (step @p734 :rule cong :premises (@p733 @p724) :args ((= (_ (_ tptp.c_2Ewords_2Eword__add_2E2 @t389) @t386) @t390))) % 0.37/0.78 (step @p735 :rule symm :premises (@p734)) % 0.37/0.78 (step @p736 :rule refl :args (@t247)) % 0.37/0.78 (step @p737 :rule eq_resolve :premises (@p736 @p735)) % 0.37/0.78 (step @p738 :rule ho_cong :premises (@p94 @p704)) % 0.37/0.78 (step @p739 :rule cong :premises (@p738 @p706) :args ((= (_ @t288 @t385) @t386))) % 0.37/0.78 (step @p740 :rule symm :premises (@p739)) % 0.37/0.78 (step @p741 :rule refl :args (@t240)) % 0.37/0.78 (step @p742 :rule eq_resolve :premises (@p741 @p740)) % 0.37/0.78 (step @p743 :rule ho_cong :premises (@p272 @p702)) % 0.37/0.78 (step @p744 :rule cong :premises (@p743 @p704) :args ((= (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t384) @t385))) % 0.37/0.78 (step @p745 :rule symm :premises (@p744)) % 0.37/0.78 (step @p746 :rule refl :args (@t239)) % 0.37/0.78 (step @p747 :rule eq_resolve :premises (@p746 @p745)) % 0.37/0.78 (step @p748 :rule ho_cong :premises (@p94 @p700)) % 0.37/0.78 (step @p749 :rule cong :premises (@p748 @p702) :args ((= (_ @t288 @t357) @t384))) % 0.37/0.78 (step @p750 :rule symm :premises (@p749)) % 0.37/0.78 (step @p751 :rule refl :args (@t238)) % 0.37/0.78 (step @p752 :rule eq_resolve :premises (@p751 @p750)) % 0.37/0.78 (step @p753 :rule ho_cong :premises (@p112 @p698)) % 0.37/0.78 (step @p754 :rule cong :premises (@p753 @p700) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t356) @t357))) % 0.37/0.78 (step @p755 :rule symm :premises (@p754)) % 0.37/0.78 (step @p756 :rule refl :args (@t237)) % 0.37/0.78 (step @p757 :rule eq_resolve :premises (@p756 @p755)) % 0.37/0.78 (step @p758 :rule ho_cong :premises (@p118 @p696)) % 0.37/0.78 (step @p759 :rule cong :premises (@p758 @p698) :args ((= (_ @t65 @t355) @t356))) % 0.37/0.78 (step @p760 :rule symm :premises (@p759)) % 0.37/0.78 (step @p761 :rule refl :args (@t236)) % 0.37/0.78 (step @p762 :rule eq_resolve :premises (@p761 @p760)) % 0.37/0.78 (step @p763 :rule refl :args (@t235)) % 0.37/0.78 (step @p764 :rule cong :premises (@p763 @p696) :args ((= @t235 @t355))) % 0.37/0.78 (step @p765 :rule symm :premises (@p764)) % 0.37/0.78 (step @p766 :rule eq_resolve :premises (@p763 @p765)) % 0.37/0.78 (step @p767 :rule ho_cong :premises (@p118 @p766)) % 0.37/0.78 (step @p768 :rule trans :premises (@p767 @p762)) % 0.37/0.78 (step @p769 :rule ho_cong :premises (@p112 @p768)) % 0.37/0.78 (step @p770 :rule trans :premises (@p769 @p757)) % 0.37/0.78 (step @p771 :rule ho_cong :premises (@p136 @p770)) % 0.37/0.78 (step @p772 :rule trans :premises (@p771 @p752)) % 0.37/0.78 (step @p773 :rule ho_cong :premises (@p272 @p772)) % 0.37/0.78 (step @p774 :rule trans :premises (@p773 @p747)) % 0.37/0.78 (step @p775 :rule ho_cong :premises (@p136 @p774)) % 0.37/0.78 (step @p776 :rule trans :premises (@p775 @p742)) % 0.37/0.78 (step @p777 :rule ho_cong :premises (@p94 @p720)) % 0.37/0.78 (step @p778 :rule cong :premises (@p777 @p722) :args ((= (_ @t288 @t388) @t389))) % 0.37/0.78 (step @p779 :rule symm :premises (@p778)) % 0.37/0.78 (step @p780 :rule refl :args (@t246)) % 0.37/0.78 (step @p781 :rule eq_resolve :premises (@p780 @p779)) % 0.37/0.78 (step @p782 :rule ho_cong :premises (@p272 @p718)) % 0.37/0.78 (step @p783 :rule cong :premises (@p782 @p720) :args ((= (_ tptp.c_2Ewords_2Eword__2comp_2E1 @t387) @t388))) % 0.37/0.78 (step @p784 :rule symm :premises (@p783)) % 0.37/0.78 (step @p785 :rule refl :args (@t245)) % 0.37/0.78 (step @p786 :rule eq_resolve :premises (@p785 @p784)) % 0.37/0.78 (step @p787 :rule ho_cong :premises (@p94 @p716)) % 0.37/0.78 (step @p788 :rule cong :premises (@p787 @p718) :args ((= (_ @t288 @t360) @t387))) % 0.37/0.78 (step @p789 :rule symm :premises (@p788)) % 0.37/0.78 (step @p790 :rule refl :args (@t244)) % 0.37/0.78 (step @p791 :rule eq_resolve :premises (@p790 @p789)) % 0.37/0.78 (step @p792 :rule ho_cong :premises (@p112 @p714)) % 0.37/0.78 (step @p793 :rule cong :premises (@p792 @p716) :args ((= (_ tptp.c_2Ewords_2En2w_2E1 @t359) @t360))) % 0.37/0.78 (step @p794 :rule symm :premises (@p793)) % 0.37/0.78 (step @p795 :rule refl :args (@t243)) % 0.37/0.78 (step @p796 :rule eq_resolve :premises (@p795 @p794)) % 0.37/0.78 (step @p797 :rule ho_cong :premises (@p118 @p712)) % 0.37/0.78 (step @p798 :rule cong :premises (@p797 @p714) :args ((= (_ @t65 @t358) @t359))) % 0.37/0.78 (step @p799 :rule symm :premises (@p798)) % 0.37/0.78 (step @p800 :rule refl :args (@t242)) % 0.37/0.78 (step @p801 :rule eq_resolve :premises (@p800 @p799)) % 0.37/0.78 (step @p802 :rule refl :args (@t241)) % 0.37/0.78 (step @p803 :rule cong :premises (@p802 @p712) :args ((= @t241 @t358))) % 0.37/0.78 (step @p804 :rule symm :premises (@p803)) % 0.37/0.78 (step @p805 :rule eq_resolve :premises (@p802 @p804)) % 0.37/0.78 (step @p806 :rule ho_cong :premises (@p118 @p805)) % 0.37/0.78 (step @p807 :rule trans :premises (@p806 @p801)) % 0.37/0.78 (step @p808 :rule ho_cong :premises (@p112 @p807)) % 0.37/0.78 (step @p809 :rule trans :premises (@p808 @p796)) % 0.37/0.78 (step @p810 :rule ho_cong :premises (@p136 @p809)) % 0.37/0.78 (step @p811 :rule trans :premises (@p810 @p791)) % 0.37/0.78 (step @p812 :rule ho_cong :premises (@p272 @p811)) % 0.37/0.78 (step @p813 :rule trans :premises (@p812 @p786)) % 0.37/0.78 (step @p814 :rule ho_cong :premises (@p136 @p813)) % 0.37/0.78 (step @p815 :rule trans :premises (@p814 @p781)) % 0.37/0.78 (step @p816 :rule ho_cong :premises (@p260 @p815)) % 0.37/0.78 (step @p817 :rule ho_cong :premises (@p816 @p776)) % 0.37/0.78 (step @p818 :rule trans :premises (@p817 @p737)) % 0.37/0.78 (step @p819 :rule ho_cong :premises (@p136 @p818)) % 0.37/0.78 (step @p820 :rule trans :premises (@p819 @p731)) % 0.37/0.78 (step @p821 :rule cong :premises (@p820 @p688) :args (@t249)) % 0.37/0.78 (step @p822 :rule cong :premises (@p821) :args (@t251)) % 0.37/0.78 (step @p823 :rule nary_cong :premises (@p822 @p623) :args (@t252)) % 0.37/0.78 (step @p824 :rule cong :premises (@p823) :args (@t254)) % 0.37/0.78 (step @p825 :rule trans :premises (@p824 @p339)) % 0.37/0.78 (step @p826 :rule eq_resolve :premises (@p62 @p825)) % 0.37/0.78 (step @p827 :rule and_elim :premises (@p826) :args (1)) % 0.37/0.78 (step @p828 :rule refl :args (@t397)) % 0.37/0.78 (step @p829 :rule refl :args (@t308)) % 0.37/0.78 (step @p830 :rule eq-refl :args (@t310)) % 0.37/0.78 (step @p831 :rule skolem_intro :args (@t398)) % 0.37/0.78 (step @p832 :rule refl :args (@t310)) % 0.37/0.78 (step @p833 :rule cong :premises (@p832 @p831) :args ((= @t310 @t398))) % 0.37/0.78 (step @p834 :rule trans :premises (@p833 @p830)) % 0.37/0.78 (step @p835 :rule true_elim :premises (@p834)) % 0.37/0.78 (step @p836 :rule cong :premises (@p835) :args (@t399)) % 0.37/0.78 (step @p837 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.37/0.78 (step @p838 :rule cong :premises (@p837 @p836) :args (@t400)) % 0.37/0.78 (step @p839 :rule cong :premises (@p838 @p829 @p828) :args (@t401)) % 0.37/0.78 (step @p840 :rule refl :args (@t301)) % 0.37/0.78 (step @p841 :rule cong :premises (@p840 @p839) :args (@t402)) % 0.37/0.78 (step @p842 :rule refl :args (@t403)) % 0.37/0.78 (step @p843 :rule cong :premises (@p842 @p841) :args (@t404)) % 0.37/0.78 (step @p844 :rule refl :args (@t345)) % 0.37/0.78 (step @p845 :rule cong :premises (@p844 @p843) :args ((=> @t345 @t404))) % 0.37/0.78 (assume-push @p1151 @t345) % 0.37/0.78 (step @p847 :rule instantiate :premises (@p827) :args ((@list @t300 @t303 @t298))) % 0.37/0.78 (step-pop @p1152 :rule scope :premises (@p847)) % 0.37/0.78 (step @p848 :rule process_scope :premises (@p1152) :args (@t404)) % 0.37/0.78 (step @p850 :rule eq_resolve :premises (@p848 @p845)) % 0.37/0.78 (step @p851 :rule implies_elim :premises (@p850)) % 0.37/0.78 (step @p852 :rule chain_m_resolution :premises (@p851 @p827) :args (@t405 @t406 (@list @t345))) % 0.37/0.78 (step @p853 :rule bool-double-not-elim :args (@t310)) % 0.37/0.78 (step @p854 :rule refl :args (@t312)) % 0.37/0.78 (step @p855 :rule nary_cong :premises (@p854 @p853) :args ((or @t312 (not @t311)))) % 0.37/0.78 (step @p856 :rule cnf_or_neg :args (@t312 0)) % 0.37/0.78 (step @p857 :rule eq_resolve :premises (@p856 @p855)) % 0.37/0.78 (step @p858 :rule reordering :premises (@p857) :args ((or @t310 @t312))) % 0.37/0.78 (step @p859 :rule chain_m_resolution :premises (@p858 @p229) :args (@t310 @t314 @t315)) % 0.37/0.78 (step @p860 :rule equiv_elim1 :premises (@p835)) % 0.37/0.78 (step @p861 :rule chain_m_resolution :premises (@p860 @p859) :args (@t398 @t406 (@list @t310))) % 0.37/0.78 (step @p862 :rule refl :args (@t408)) % 0.37/0.78 (step @p863 :rule refl :args (@t409)) % 0.37/0.78 (step @p864 :rule bool-eq-false :args (tptp.mono_2Ec_2Ebool_2EF)) % 0.37/0.78 (step @p865 :rule symm :premises (@p864)) % 0.37/0.78 (step @p866 :rule aci_norm :args ((= (or @t410 false) @t410))) % 0.37/0.78 (step @p867 :rule quant-var-elim-eq :args ((= (forall @t412 (or (not (= @t411 false)) @t411)) false))) % 0.37/0.78 (step @p868 :rule refl :args (@t411)) % 0.37/0.78 (step @p869 :rule bool-eq-false :args (@t411)) % 0.37/0.78 (step @p870 :rule symm :premises (@p869)) % 0.37/0.78 (step @p871 :rule cong :premises (@p870) :args ((not (not @t411)))) % 0.37/0.78 (step @p872 :rule bool-double-not-elim :args (@t411)) % 0.37/0.78 (step @p873 :rule symm :premises (@p872)) % 0.37/0.78 (step @p874 :rule trans :premises (@p873 @p871)) % 0.37/0.78 (step @p875 :rule nary_cong :premises (@p874 @p868) :args (@t413)) % 0.37/0.78 (step @p876 :rule aci_norm :args ((= @t411 @t413))) % 0.37/0.78 (step @p877 :rule trans :premises (@p876 @p875)) % 0.37/0.78 (step @p878 :rule cong :premises (@p877) :args (@t414)) % 0.37/0.78 (step @p879 :rule trans :premises (@p878 @p867)) % 0.37/0.78 (step @p880 :rule refl :args (@t410)) % 0.37/0.78 (step @p881 :rule nary_cong :premises (@p880 @p879) :args (@t415)) % 0.37/0.78 (step @p882 :rule trans :premises (@p881 @p866)) % 0.37/0.78 (step @p883 :rule quant-miniscope-or :args ((= (forall @t412 @t416) @t415))) % 0.37/0.78 (step @p884 :rule trans :premises (@p883 @p882)) % 0.37/0.78 (step @p885 :rule bool-eq-true :args (@t416)) % 0.37/0.78 (step @p886 :rule eq-symm :args (true @t416)) % 0.37/0.78 (step @p887 :rule trans :premises (@p886 @p885)) % 0.37/0.78 (step @p888 :rule cong :premises (@p887) :args ((forall @t412 (= true @t416)))) % 0.37/0.78 (step @p889 :rule trans :premises (@p888 @p884)) % 0.37/0.78 (step @p890 :rule refl :args (@t416)) % 0.37/0.78 (step @p891 :rule bool-eq-true :args (tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (step @p892 :rule symm :premises (@p891)) % 0.37/0.78 (step @p893 :rule eq_resolve :premises (@p52 @p892)) % 0.37/0.78 (step @p894 :rule cong :premises (@p893 @p890) :args (@t417)) % 0.37/0.78 (step @p895 :rule cong :premises (@p894) :args ((forall @t412 @t417))) % 0.37/0.78 (step @p896 :rule trans :premises (@p895 @p889)) % 0.37/0.78 (step @p897 :rule alpha_equiv :args (@t420 @t421 (@list (@var "BOUND_VARIABLE_9076" Bool)))) % 0.37/0.78 (step @p898 :rule quant-unused-vars :args ((= @t422 tptp.mono_2Ec_2Ebool_2ET))) % 0.37/0.78 (step @p899 :rule alpha_equiv :args (@t424 @t421 (@list @t411))) % 0.37/0.78 (step @p900 :rule alpha_equiv :args (@t426 @t421 (@list (@var "BOUND_VARIABLE_9062" Bool)))) % 0.37/0.78 (step @p901 :rule alpha_equiv :args (@t428 @t421 (@list (@var "BOUND_VARIABLE_9056" Bool)))) % 0.37/0.78 (step @p902 :rule nary_cong :premises (@p901 @p900 @p899 @p898 @p897) :args (@t429)) % 0.37/0.78 (step @p903 :rule quant-miniscope-and :args ((= (forall @t139 (and @t427 @t425 @t423 tptp.mono_2Ec_2Ebool_2ET @t419)) @t429))) % 0.37/0.78 (step @p904 :rule trans :premises (@p903 @p902)) % 0.37/0.78 (step @p905 :rule eq-symm :args (@t418 @t132)) % 0.37/0.78 (step @p906 :rule refl :args (@t423)) % 0.37/0.78 (step @p907 :rule refl :args (@t425)) % 0.37/0.78 (step @p908 :rule refl :args (@t427)) % 0.37/0.78 (step @p909 :rule nary_cong :premises (@p908 @p907 @p906 @p891 @p905) :args (@t430)) % 0.37/0.78 (step @p910 :rule cong :premises (@p909) :args ((forall @t139 @t430))) % 0.37/0.78 (step @p911 :rule trans :premises (@p910 @p904)) % 0.37/0.78 (step @p912 :rule refl :args (@t132)) % 0.37/0.78 (step @p913 :rule bool-impl-elim :args (@t131 tptp.mono_2Ec_2Ebool_2EF)) % 0.37/0.78 (step @p914 :rule cong :premises (@p913 @p912) :args (@t133)) % 0.37/0.78 (step @p915 :rule bool-or-taut2 :args (false @t131 false false)) % 0.37/0.78 (step @p916 :rule bool-impl-elim :args (@t131 @t131)) % 0.37/0.78 (step @p917 :rule trans :premises (@p916 @p915)) % 0.37/0.78 (step @p918 :rule refl :args (tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (step @p919 :rule cong :premises (@p918 @p917) :args (@t431)) % 0.37/0.78 (step @p920 :rule bool-impl-elim :args (tptp.mono_2Ec_2Ebool_2EF @t131)) % 0.37/0.78 (step @p921 :rule cong :premises (@p918 @p920) :args (@t432)) % 0.37/0.78 (step @p922 :rule bool-impl-elim :args (@t131 tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (step @p923 :rule cong :premises (@p918 @p922) :args (@t433)) % 0.37/0.78 (step @p924 :rule bool-impl-elim :args (tptp.mono_2Ec_2Ebool_2ET @t131)) % 0.37/0.78 (step @p925 :rule refl :args (@t131)) % 0.37/0.78 (step @p926 :rule cong :premises (@p925 @p924) :args (@t434)) % 0.37/0.78 (step @p927 :rule nary_cong :premises (@p926 @p923 @p921 @p919 @p914) :args (@t435)) % 0.37/0.78 (step @p928 :rule cong :premises (@p927) :args ((forall @t139 @t435))) % 0.37/0.78 (step @p929 :rule trans :premises (@p928 @p911)) % 0.37/0.78 (step @p930 :rule refl :args (@t133)) % 0.37/0.78 (step @p931 :rule eq-symm :args (@t134 tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (step @p932 :rule eq-symm :args (@t135 tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (step @p933 :rule eq-symm :args (@t136 tptp.mono_2Ec_2Ebool_2ET)) % 0.37/0.78 (step @p934 :rule eq-symm :args (@t137 @t131)) % 0.37/0.78 (step @p935 :rule nary_cong :premises (@p934 @p933 @p932 @p931 @p930) :args (@t138)) % 0.37/0.78 (step @p936 :rule cong :premises (@p935) :args (@t140)) % 0.37/0.78 (step @p937 :rule trans :premises (@p936 @p929)) % 0.37/0.78 (step @p938 :rule eq_resolve :premises (@p53 @p937)) % 0.37/0.78 (step @p939 :rule and_elim :premises (@p938) :args (2)) % 0.37/0.78 (step @p940 :rule eq_resolve :premises (@p939 @p896)) % 0.37/0.78 (step @p941 :rule eq_resolve :premises (@p940 @p865)) % 0.37/0.78 (step @p942 :rule cong :premises (@p941) :args (@t436)) % 0.37/0.78 (step @p943 :rule cong :premises (@p837 @p942) :args (@t437)) % 0.37/0.78 (step @p944 :rule cong :premises (@p943 @p863 @p862) :args (@t438)) % 0.37/0.78 (step @p945 :rule refl :args (@t407)) % 0.37/0.78 (step @p946 :rule cong :premises (@p945 @p944) :args (@t439)) % 0.37/0.78 (step @p947 :rule cong :premises (@p862 @p946) :args (@t440)) % 0.37/0.78 (step @p948 :rule cong :premises (@p947) :args (@t441)) % 0.37/0.78 (step @p949 :rule refl :args (@t443)) % 0.37/0.78 (step @p950 :rule refl :args (@t444)) % 0.37/0.78 (step @p951 :rule cong :premises (@p893) :args (@t445)) % 0.37/0.78 (step @p952 :rule cong :premises (@p837 @p951) :args (@t446)) % 0.37/0.78 (step @p953 :rule cong :premises (@p952 @p950 @p949) :args (@t447)) % 0.37/0.78 (step @p954 :rule refl :args (@t442)) % 0.37/0.78 (step @p955 :rule cong :premises (@p954 @p953) :args (@t448)) % 0.37/0.78 (step @p956 :rule cong :premises (@p950 @p955) :args (@t449)) % 0.37/0.78 (step @p957 :rule cong :premises (@p956) :args (@t451)) % 0.37/0.78 (step @p958 :rule nary_cong :premises (@p957 @p948) :args ((and @t451 @t441))) % 0.37/0.78 (step @p959 :rule quant-merge-prenex :args ((= @t452 @t441))) % 0.37/0.78 (step @p960 :rule quant-merge-prenex :args ((= @t453 @t451))) % 0.37/0.78 (step @p961 :rule nary_cong :premises (@p960 @p959) :args ((and @t453 @t452))) % 0.37/0.78 (step @p962 :rule alpha_equiv :args (@t459 @t460 (@list @t407))) % 0.37/0.78 (step @p963 :rule alpha_equiv :args (@t466 @t460 (@list @t442))) % 0.37/0.78 (step @p964 :rule nary_cong :premises (@p963 @p962) :args (@t467)) % 0.37/0.78 (step @p965 :rule quant-miniscope-and :args ((= (forall @t178 (and @t465 @t458)) @t467))) % 0.37/0.78 (step @p966 :rule trans :premises (@p965 @p964)) % 0.37/0.78 (step @p967 :rule trans :premises (@p966 @p961)) % 0.37/0.78 (step @p968 :rule refl :args ((tptp.s @t3 @t163))) % 0.37/0.78 (step @p969 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t162 @t160 @t158))) % 0.37/0.78 (step @p970 :rule refl :args (@t454)) % 0.37/0.78 (step @p971 :rule refl :args (@t455)) % 0.37/0.78 (step @p972 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t161))) % 0.37/0.78 (step @p973 :rule refl :args (@t436)) % 0.37/0.78 (step @p974 :rule cong :premises (@p380 @p973) :args (@t437)) % 0.37/0.78 (step @p975 :rule trans :premises (@p974 @p972)) % 0.37/0.78 (step @p976 :rule cong :premises (@p975 @p971 @p970) :args (@t456)) % 0.37/0.78 (step @p977 :rule trans :premises (@p976 @p969)) % 0.37/0.78 (step @p978 :rule refl :args (@t3)) % 0.37/0.78 (step @p979 :rule cong :premises (@p978 @p977) :args (@t457)) % 0.37/0.78 (step @p980 :rule trans :premises (@p979 @p968)) % 0.37/0.78 (step @p981 :rule refl :args (@t11)) % 0.37/0.78 (step @p982 :rule ho_cong :premises (@p981 @p977)) % 0.37/0.78 (step @p983 :rule cong :premises (@p982 @p980) :args ((= (_ @t11 @t456) @t457))) % 0.37/0.78 (step @p984 :rule symm :premises (@p983)) % 0.37/0.78 (step @p985 :rule refl :args (@t164)) % 0.37/0.78 (step @p986 :rule eq_resolve :premises (@p985 @p984)) % 0.37/0.78 (step @p987 :rule ho_cong :premises (@p393 @p975)) % 0.37/0.78 (step @p988 :rule ho_cong :premises (@p987 @p971)) % 0.37/0.78 (step @p989 :rule ho_cong :premises (@p988 @p970)) % 0.37/0.78 (step @p990 :rule cong :premises (@p989 @p977) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t437) @t455) @t454) @t456))) % 0.37/0.78 (step @p991 :rule symm :premises (@p990)) % 0.37/0.78 (step @p992 :rule refl :args (@t163)) % 0.37/0.78 (step @p993 :rule eq_resolve :premises (@p992 @p991)) % 0.37/0.78 (step @p994 :rule refl :args (@t158)) % 0.37/0.78 (step @p995 :rule cong :premises (@p994 @p970) :args ((= @t158 @t454))) % 0.37/0.78 (step @p996 :rule symm :premises (@p995)) % 0.37/0.78 (step @p997 :rule eq_resolve :premises (@p994 @p996)) % 0.37/0.78 (step @p998 :rule refl :args (@t160)) % 0.37/0.78 (step @p999 :rule cong :premises (@p998 @p971) :args ((= @t160 @t455))) % 0.37/0.78 (step @p1000 :rule symm :premises (@p999)) % 0.37/0.78 (step @p1001 :rule eq_resolve :premises (@p998 @p1000)) % 0.37/0.78 (step @p1002 :rule ho_cong :premises (@p484 @p973)) % 0.37/0.78 (step @p1003 :rule cong :premises (@p1002 @p975) :args ((= (_ @t38 @t436) @t437))) % 0.37/0.78 (step @p1004 :rule symm :premises (@p1003)) % 0.37/0.78 (step @p1005 :rule refl :args (@t162)) % 0.37/0.78 (step @p1006 :rule eq_resolve :premises (@p1005 @p1004)) % 0.37/0.78 (step @p1007 :rule refl :args (@t161)) % 0.37/0.78 (step @p1008 :rule cong :premises (@p1007 @p973) :args ((= @t161 @t436))) % 0.37/0.78 (step @p1009 :rule symm :premises (@p1008)) % 0.37/0.78 (step @p1010 :rule eq_resolve :premises (@p1007 @p1009)) % 0.37/0.78 (step @p1011 :rule ho_cong :premises (@p484 @p1010)) % 0.37/0.78 (step @p1012 :rule trans :premises (@p1011 @p1006)) % 0.37/0.78 (step @p1013 :rule ho_cong :premises (@p393 @p1012)) % 0.37/0.78 (step @p1014 :rule ho_cong :premises (@p1013 @p1001)) % 0.37/0.78 (step @p1015 :rule ho_cong :premises (@p1014 @p997)) % 0.37/0.78 (step @p1016 :rule trans :premises (@p1015 @p993)) % 0.37/0.78 (step @p1017 :rule ho_cong :premises (@p981 @p1016)) % 0.37/0.78 (step @p1018 :rule trans :premises (@p1017 @p986)) % 0.37/0.78 (step @p1019 :rule cong :premises (@p997 @p1018) :args (@t468)) % 0.37/0.78 (step @p1020 :rule cong :premises (@p1019) :args ((forall @t165 @t468))) % 0.37/0.78 (step @p1021 :rule eq-symm :args (@t164 @t158)) % 0.37/0.78 (step @p1022 :rule cong :premises (@p1021) :args (@t166)) % 0.37/0.78 (step @p1023 :rule trans :premises (@p1022 @p1020)) % 0.37/0.78 (step @p1024 :rule refl :args ((tptp.s @t3 @t173))) % 0.37/0.78 (step @p1025 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t172 @t168 @t170))) % 0.37/0.78 (step @p1026 :rule refl :args (@t461)) % 0.37/0.78 (step @p1027 :rule refl :args (@t462)) % 0.37/0.78 (step @p1028 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t171))) % 0.37/0.78 (step @p1029 :rule refl :args (@t445)) % 0.37/0.78 (step @p1030 :rule cong :premises (@p380 @p1029) :args (@t446)) % 0.37/0.78 (step @p1031 :rule trans :premises (@p1030 @p1028)) % 0.37/0.78 (step @p1032 :rule cong :premises (@p1031 @p1027 @p1026) :args (@t463)) % 0.37/0.78 (step @p1033 :rule trans :premises (@p1032 @p1025)) % 0.37/0.78 (step @p1034 :rule cong :premises (@p978 @p1033) :args (@t464)) % 0.37/0.78 (step @p1035 :rule trans :premises (@p1034 @p1024)) % 0.37/0.78 (step @p1036 :rule ho_cong :premises (@p981 @p1033)) % 0.37/0.78 (step @p1037 :rule cong :premises (@p1036 @p1035) :args ((= (_ @t11 @t463) @t464))) % 0.37/0.78 (step @p1038 :rule symm :premises (@p1037)) % 0.37/0.78 (step @p1039 :rule refl :args (@t174)) % 0.37/0.78 (step @p1040 :rule eq_resolve :premises (@p1039 @p1038)) % 0.37/0.78 (step @p1041 :rule ho_cong :premises (@p393 @p1031)) % 0.37/0.78 (step @p1042 :rule ho_cong :premises (@p1041 @p1027)) % 0.37/0.78 (step @p1043 :rule ho_cong :premises (@p1042 @p1026)) % 0.37/0.78 (step @p1044 :rule cong :premises (@p1043 @p1033) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t446) @t462) @t461) @t463))) % 0.37/0.78 (step @p1045 :rule symm :premises (@p1044)) % 0.37/0.78 (step @p1046 :rule refl :args (@t173)) % 0.37/0.78 (step @p1047 :rule eq_resolve :premises (@p1046 @p1045)) % 0.37/0.78 (step @p1048 :rule refl :args (@t170)) % 0.37/0.78 (step @p1049 :rule cong :premises (@p1048 @p1026) :args ((= @t170 @t461))) % 0.37/0.78 (step @p1050 :rule symm :premises (@p1049)) % 0.37/0.78 (step @p1051 :rule eq_resolve :premises (@p1048 @p1050)) % 0.37/0.78 (step @p1052 :rule refl :args (@t168)) % 0.37/0.78 (step @p1053 :rule cong :premises (@p1052 @p1027) :args ((= @t168 @t462))) % 0.37/0.78 (step @p1054 :rule symm :premises (@p1053)) % 0.37/0.78 (step @p1055 :rule eq_resolve :premises (@p1052 @p1054)) % 0.37/0.78 (step @p1056 :rule ho_cong :premises (@p484 @p1029)) % 0.37/0.78 (step @p1057 :rule cong :premises (@p1056 @p1031) :args ((= (_ @t38 @t445) @t446))) % 0.37/0.78 (step @p1058 :rule symm :premises (@p1057)) % 0.37/0.78 (step @p1059 :rule refl :args (@t172)) % 0.37/0.78 (step @p1060 :rule eq_resolve :premises (@p1059 @p1058)) % 0.37/0.78 (step @p1061 :rule refl :args (@t171)) % 0.37/0.78 (step @p1062 :rule cong :premises (@p1061 @p1029) :args ((= @t171 @t445))) % 0.37/0.78 (step @p1063 :rule symm :premises (@p1062)) % 0.37/0.78 (step @p1064 :rule eq_resolve :premises (@p1061 @p1063)) % 0.37/0.78 (step @p1065 :rule ho_cong :premises (@p484 @p1064)) % 0.37/0.78 (step @p1066 :rule trans :premises (@p1065 @p1060)) % 0.37/0.78 (step @p1067 :rule ho_cong :premises (@p393 @p1066)) % 0.37/0.78 (step @p1068 :rule ho_cong :premises (@p1067 @p1055)) % 0.37/0.78 (step @p1069 :rule ho_cong :premises (@p1068 @p1051)) % 0.37/0.78 (step @p1070 :rule trans :premises (@p1069 @p1047)) % 0.37/0.78 (step @p1071 :rule ho_cong :premises (@p981 @p1070)) % 0.37/0.78 (step @p1072 :rule trans :premises (@p1071 @p1040)) % 0.37/0.78 (step @p1073 :rule cong :premises (@p1055 @p1072) :args (@t469)) % 0.37/0.78 (step @p1074 :rule cong :premises (@p1073) :args ((forall @t175 @t469))) % 0.37/0.78 (step @p1075 :rule eq-symm :args (@t174 @t168)) % 0.37/0.78 (step @p1076 :rule cong :premises (@p1075) :args (@t176)) % 0.37/0.78 (step @p1077 :rule trans :premises (@p1076 @p1074)) % 0.37/0.78 (step @p1078 :rule nary_cong :premises (@p1077 @p1023) :args (@t177)) % 0.37/0.78 (step @p1079 :rule cong :premises (@p1078) :args (@t179)) % 0.37/0.78 (step @p1080 :rule trans :premises (@p1079 @p967)) % 0.37/0.78 (step @p1081 :rule trans :premises (@p1080 @p958)) % 0.37/0.78 (step @p1082 :rule eq_resolve :premises (@p60 @p1081)) % 0.37/0.78 (step @p1083 :rule and_elim :premises (@p1082) :args (0)) % 0.37/0.78 (step @p1084 :rule symm :premises (@p233)) % 0.37/0.78 (step @p1085 :rule cong :premises (@p1084) :args (@t470)) % 0.37/0.78 (step @p1086 :rule cong :premises (@p837 @p1085) :args (@t471)) % 0.37/0.78 (step @p1087 :rule cong :premises (@p1086 @p829 @p828) :args (@t472)) % 0.37/0.78 (step @p1088 :rule cong :premises (@p840 @p1087) :args (@t473)) % 0.37/0.78 (step @p1089 :rule cong :premises (@p829 @p1088) :args (@t474)) % 0.37/0.78 (step @p1090 :rule refl :args (@t475)) % 0.37/0.78 (step @p1091 :rule cong :premises (@p1090 @p1089) :args ((=> @t475 @t474))) % 0.37/0.78 (assume-push @p1153 @t475) % 0.37/0.78 (step @p1093 :rule instantiate :premises (@p1083) :args ((@list @t301 @t307 @t396))) % 0.37/0.78 (step-pop @p1154 :rule scope :premises (@p1093)) % 0.37/0.78 (step @p1094 :rule process_scope :premises (@p1154) :args (@t474)) % 0.37/0.78 (step @p1096 :rule eq_resolve :premises (@p1094 @p1091)) % 0.37/0.78 (step @p1097 :rule implies_elim :premises (@p1096)) % 0.37/0.78 (step @p1098 :rule chain_m_resolution :premises (@p1097 @p1083) :args (@t480 @t406 (@list @t475))) % 0.37/0.78 (step @p1099 :rule refl :args (@t481)) % 0.37/0.78 (step @p1100 :rule refl :args (@t482)) % 0.37/0.78 (step @p1101 :rule refl :args (@t483)) % 0.37/0.78 (step @p1102 :rule refl :args (@t485)) % 0.37/0.78 (step @p1103 :rule refl :args (@t486)) % 0.37/0.78 (step @p1104 :rule bool-double-not-elim :args (@t309)) % 0.37/0.78 (step @p1105 :rule nary_cong :premises (@p1104 @p1103 @p1102 @p1101 @p1100 @p1099) :args ((or (not @t313) @t486 @t485 @t483 @t482 @t481))) % 0.37/0.78 (assume-push @p1155 @t481) % 0.37/0.78 (assume-push @p1156 @t480) % 0.37/0.78 (step @p1108 :rule evaluate :args ((= false true))) % 0.37/0.78 (step @p1109 :rule true_intro :premises (@p1098)) % 0.37/0.78 (step @p1110 :rule false_intro :premises (@p231)) % 0.37/0.78 (step @p1111 :rule symm :premises (@p326)) % 0.37/0.78 (step @p1112 :rule symm :premises (@p852)) % 0.37/0.78 (step @p1113 :rule true_intro :premises (@p861)) % 0.37/0.78 (step @p1114 :rule symm :premises (@p1113)) % 0.37/0.78 (step @p1115 :rule trans :premises (@p233 @p1114)) % 0.37/0.78 (step @p1116 :rule cong :premises (@p1115) :args (@t476)) % 0.37/0.78 (step @p1117 :rule cong :premises (@p837 @p1116) :args (@t477)) % 0.37/0.78 (step @p1118 :rule cong :premises (@p1117 @p829 @p828) :args (@t478)) % 0.37/0.78 (step @p1119 :rule cong :premises (@p840 @p1118) :args (@t479)) % 0.37/0.78 (step @p1120 :rule trans :premises (@p1119 @p1112 @p1111)) % 0.37/0.78 (step @p1121 :rule cong :premises (@p829 @p1120) :args (@t480)) % 0.37/0.78 (step @p1122 :rule trans :premises (@p1121 @p1110)) % 0.37/0.78 (step @p1123 :rule symm :premises (@p1122)) % 0.37/0.78 (step @p1124 :rule trans :premises (@p1123 @p1109)) % 0.37/0.78 (step @p1125 false :rule eq_resolve :premises (@p1124 @p1108)) % 0.37/0.78 (step-pop @p1157 :rule scope :premises (@p1125)) % 0.37/0.78 (step-pop @p1158 :rule scope :premises (@p1157)) % 0.37/0.78 (step @p1126 :rule process_scope :premises (@p1158) :args (false)) % 0.37/0.78 (assume-push @p1159 @t313) % 0.37/0.78 (assume-push @p1160 @t316) % 0.37/0.78 (assume-push @p1161 @t484) % 0.37/0.78 (assume-push @p1162 @t398) % 0.37/0.78 (assume-push @p1163 @t405) % 0.37/0.78 (assume-push @p1164 @t480) % 0.37/0.78 (step @p1110 :rule false_intro :premises (@p231)) % 0.37/0.78 (step @p1111 :rule symm :premises (@p326)) % 0.37/0.78 (step @p1112 :rule symm :premises (@p852)) % 0.37/0.78 (step @p1113 :rule true_intro :premises (@p861)) % 0.37/0.78 (step @p1114 :rule symm :premises (@p1113)) % 0.37/0.78 (step @p1115 :rule trans :premises (@p233 @p1114)) % 0.37/0.78 (step @p1116 :rule cong :premises (@p1115) :args (@t476)) % 0.37/0.78 (step @p1117 :rule cong :premises (@p837 @p1116) :args (@t477)) % 0.37/0.78 (step @p1118 :rule cong :premises (@p1117 @p829 @p828) :args (@t478)) % 0.37/0.78 (step @p1119 :rule cong :premises (@p840 @p1118) :args (@t479)) % 0.37/0.78 (step @p1120 :rule trans :premises (@p1119 @p1112 @p1111)) % 0.37/0.78 (step @p1121 :rule cong :premises (@p829 @p1120) :args (@t480)) % 0.37/0.78 (step @p1135 :rule trans :premises (@p1121 @p1110)) % 0.37/0.78 (step @p1136 :rule false_elim :premises (@p1135)) % 0.37/0.78 (step @p1137 :rule and_intro :premises (@p1136 @p1098)) % 0.37/0.78 (step-pop @p1165 :rule scope :premises (@p1137)) % 0.37/0.78 (step-pop @p1166 :rule scope :premises (@p1165)) % 0.37/0.78 (step-pop @p1167 :rule scope :premises (@p1166)) % 0.37/0.78 (step-pop @p1168 :rule scope :premises (@p1167)) % 0.37/0.78 (step-pop @p1169 :rule scope :premises (@p1168)) % 0.37/0.78 (step-pop @p1170 :rule scope :premises (@p1169)) % 0.37/0.78 (step @p1138 :rule process_scope :premises (@p1170) :args (@t487)) % 0.37/0.78 (step @p1145 :rule implies_elim :premises (@p1138)) % 0.37/0.78 (step @p1146 :rule resolution :premises (@p1145 @p1126) :args (true @t487)) % 0.37/0.78 (step @p1147 :rule not_and :premises (@p1146)) % 0.37/0.78 (step @p1148 :rule eq_resolve :premises (@p1147 @p1105)) % 0.37/0.78 (step @p1149 :rule reordering :premises (@p1148) :args ((or @t309 @t486 @t485 @t482 @t483 @t481))) % 0.37/0.78 (step @p1150 false :rule chain_m_resolution :premises (@p1149 @p1098 @p861 @p852 @p326 @p234 @p231) :args (false (@list false false false false false true) (@list @t480 @t398 @t405 @t484 @t316 @t309))) % 0.37/0.78 ) % 0.37/0.78 % SZS output end Proof % 0.37/0.78 % cvc5 exiting %------------------------------------------------------------------------------