%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP001^4 : 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 : n025.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 08:24:20 AM UTC 2026 % Result : Theorem 0.41s 0.63s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ITP001^4 : 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 % 0.15/0.33 % Computer : n025.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 03:33:01 EDT 2026 % 0.15/0.33 % CPUTime : % 0.31/0.54 %----Proving TH0 % 0.41/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.63 % SZS status Theorem % 0.41/0.63 % SZS output start Proof % 0.41/0.63 ( % 0.41/0.63 (declare-sort tptp.du 0) % 0.41/0.63 (declare-sort tptp.u 0) % 0.41/0.63 (declare-sort tptp.mono_2Etyop_2Emin_2Eind 0) % 0.41/0.63 (declare-sort tptp.d 0) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2EBOUNDED (-> Bool Bool)) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 0.41/0.63 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 (-> (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind) tptp.u)) % 0.41/0.63 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 (-> (-> (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind) Bool) tptp.u)) % 0.41/0.63 (declare-const tptp.tyop_2Emin_2Eind tptp.d) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) % 0.41/0.63 (declare-const tptp.c_2Ebool_2E_3F_21_2E0 tptp.u) % 0.41/0.63 (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)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 0.41/0.63 (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)) % 0.41/0.63 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ECOND_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EIN_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 (-> tptp.du (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind) Bool)) % 0.41/0.63 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__SELECT_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2Eliteral__case_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2Eliteral__case_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ETYPE__DEFINITION_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 0.41/0.63 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EDATATYPE_2E1 (-> tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2E_3F_21_2E1 (-> tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 0.41/0.63 (declare-const tptp.c_2Emin_2E_40_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ELET_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.41/0.63 (declare-const tptp.combin_s_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__FORALL_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Emin_2E_40_2E1 (-> tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EDATATYPE_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EIN_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ELET_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EONE__ONE_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EONE__ONE_2E1 (-> tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EONTO_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2EONTO_2E1 (-> tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__EXISTS_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__EXISTS_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.combin_i_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__EXISTS__UNIQUE_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.combin_k_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__EXISTS__UNIQUE_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__FORALL_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ERES__SELECT_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.c_2Ebool_2ETYPE__DEFINITION_2E2 (-> tptp.du tptp.du tptp.u)) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind (-> (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind) Bool)) % 0.41/0.63 (declare-const tptp.mono_2Ec_2Ebool_2EONTO_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind (-> (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind) Bool)) % 0.41/0.63 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.41/0.63 (define @t2 () (@var "A_27b" tptp.d)) % 0.41/0.63 (define @t3 () (@var "A_27a" tptp.d)) % 0.41/0.63 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 0.41/0.63 (define @t5 () (_ @t4 @t2)) % 0.41/0.63 (define @t6 () (_ tptp.s @t5)) % 0.41/0.63 (define @t7 () (_ @t6 @t1)) % 0.41/0.63 (define @t8 () (@var "V0f_2E0" tptp.u)) % 0.41/0.63 (define @t9 () (_ @t6 @t8)) % 0.41/0.63 (define @t10 () (@var "V2x_2E0" tptp.u)) % 0.41/0.63 (define @t11 () (_ tptp.s @t3)) % 0.41/0.63 (define @t12 () (_ @t11 @t10)) % 0.41/0.63 (define @t13 () (_ tptp.s @t2)) % 0.41/0.63 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 0.41/0.63 (define @t15 () (@list @t10)) % 0.41/0.63 (define @t16 () (@var "V0x_2E0" tptp.u)) % 0.41/0.63 (define @t17 () (_ @t11 @t16)) % 0.41/0.63 (define @t18 () (_ @t4 @t3)) % 0.41/0.63 (define @t19 () (_ tptp.s @t18)) % 0.41/0.63 (define @t20 () (@list @t3 @t16)) % 0.41/0.63 (define @t21 () (@var "V1y_2E0" tptp.u)) % 0.41/0.63 (define @t22 () (_ @t13 @t21)) % 0.41/0.63 (define @t23 () (_ tptp.tyop_2Emin_2Efun @t2)) % 0.41/0.63 (define @t24 () (_ @t23 @t3)) % 0.41/0.63 (define @t25 () (_ tptp.s @t24)) % 0.41/0.63 (define @t26 () (@var "A_27c" tptp.d)) % 0.41/0.63 (define @t27 () (_ @t23 @t26)) % 0.41/0.63 (define @t28 () (_ @t4 @t27)) % 0.41/0.63 (define @t29 () (_ (_ tptp.s @t28) @t8)) % 0.41/0.63 (define @t30 () (_ tptp.s @t26)) % 0.41/0.63 (define @t31 () (_ @t4 @t26)) % 0.41/0.63 (define @t32 () (_ tptp.tyop_2Emin_2Efun @t5)) % 0.41/0.63 (define @t33 () (_ @t32 @t31)) % 0.41/0.63 (define @t34 () (@var "V1" Bool)) % 0.41/0.63 (define @t35 () (@var "V0" Bool)) % 0.41/0.63 (define @t36 () (@list @t35 @t34)) % 0.41/0.63 (define @t37 () (@list @t35)) % 0.41/0.63 (define @t38 () (@var "V1_2E0" tptp.u)) % 0.41/0.63 (define @t39 () (_ @t11 @t38)) % 0.41/0.63 (define @t40 () (@var "V0_2E0" tptp.u)) % 0.41/0.63 (define @t41 () (_ @t11 @t40)) % 0.41/0.63 (define @t42 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 0.41/0.63 (define @t43 () (@var "V1x_2E0" tptp.u)) % 0.41/0.63 (define @t44 () (_ @t11 @t43)) % 0.41/0.63 (define @t45 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 0.41/0.63 (define @t46 () (_ tptp.s @t45)) % 0.41/0.63 (define @t47 () (_ @t46 @t8)) % 0.41/0.63 (define @t48 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 @t47) @t44)))) % 0.41/0.63 (define @t49 () (@list @t43)) % 0.41/0.63 (define @t50 () (@list @t3 @t8)) % 0.41/0.63 (define @t51 () (_ @t42 @t40)) % 0.41/0.63 (define @t52 () (@list @t40)) % 0.41/0.63 (define @t53 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 0.41/0.63 (define @t54 () (_ @t53 tptp.tyop_2Emin_2Ebool)) % 0.41/0.63 (define @t55 () (_ tptp.s @t54)) % 0.41/0.63 (define @t56 () (_ @t55 @t40)) % 0.41/0.63 (define @t57 () (_ tptp.s (_ @t53 @t54))) % 0.41/0.63 (define @t58 () (_ @t57 @t40)) % 0.41/0.63 (define @t59 () (@var "V0" (-> Bool Bool))) % 0.41/0.63 (define @t60 () (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t59))) % 0.41/0.63 (define @t61 () (@var "V0" (-> Bool Bool Bool))) % 0.41/0.63 (define @t62 () (_ @t57 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t61))) % 0.41/0.63 (define @t63 () (@var "X0_2E0" tptp.u)) % 0.41/0.63 (define @t64 () (_ @t46 @t63)) % 0.41/0.63 (define @t65 () (_ tptp.tyop_2Emin_2Efun @t45)) % 0.41/0.63 (define @t66 () (_ @t65 tptp.tyop_2Emin_2Ebool)) % 0.41/0.63 (define @t67 () (_ tptp.s @t66)) % 0.41/0.63 (define @t68 () (@list @t3 @t63)) % 0.41/0.63 (define @t69 () (@var "X1_2E0" tptp.u)) % 0.41/0.63 (define @t70 () (_ @t11 @t69)) % 0.41/0.63 (define @t71 () (_ @t11 @t63)) % 0.41/0.63 (define @t72 () (_ @t4 @t45)) % 0.41/0.63 (define @t73 () (_ tptp.s @t72)) % 0.41/0.63 (define @t74 () (@list @t3 @t63 @t69)) % 0.41/0.63 (define @t75 () (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t34))) % 0.41/0.63 (define @t76 () (_ @t59 @t34)) % 0.41/0.63 (define @t77 () (@list @t59 @t34)) % 0.41/0.63 (define @t78 () (_ @t61 @t34)) % 0.41/0.63 (define @t79 () (@list @t61 @t34)) % 0.41/0.63 (define @t80 () (_ (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Eind) tptp.tyop_2Emin_2Eind)) % 0.41/0.63 (define @t81 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t80) tptp.tyop_2Emin_2Ebool))) % 0.41/0.63 (define @t82 () (_ @t81 @t40)) % 0.41/0.63 (define @t83 () (_ tptp.s @t80)) % 0.41/0.63 (define @t84 () (_ @t83 @t40)) % 0.41/0.63 (define @t85 () (@var "V0" (-> (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind) Bool))) % 0.41/0.63 (define @t86 () (_ @t81 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 @t85))) % 0.41/0.63 (define @t87 () (@var "V0" (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind))) % 0.41/0.63 (define @t88 () (_ @t83 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 @t87))) % 0.41/0.63 (define @t89 () (@list @t87)) % 0.41/0.63 (define @t90 () (_ @t65 @t3)) % 0.41/0.63 (define @t91 () (_ tptp.s @t90)) % 0.41/0.63 (define @t92 () (@var "X2_2E0" tptp.u)) % 0.41/0.63 (define @t93 () (_ @t11 @t92)) % 0.41/0.63 (define @t94 () (@var "X0" Bool)) % 0.41/0.63 (define @t95 () (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t94))) % 0.41/0.63 (define @t96 () (_ @t4 @t18)) % 0.41/0.63 (define @t97 () (_ @t46 @t69)) % 0.41/0.63 (define @t98 () (_ @t6 @t63)) % 0.41/0.63 (define @t99 () (_ tptp.s (_ @t32 @t5))) % 0.41/0.63 (define @t100 () (@list @t3 @t2 @t63 @t69)) % 0.41/0.63 (define @t101 () (_ tptp.s (_ @t32 tptp.tyop_2Emin_2Ebool))) % 0.41/0.63 (define @t102 () (@list @t3 @t2 @t63)) % 0.41/0.63 (define @t103 () (_ tptp.s (_ @t65 @t66))) % 0.41/0.63 (define @t104 () (_ @t25 @t69)) % 0.41/0.63 (define @t105 () (_ (_ tptp.tyop_2Emin_2Efun @t24) tptp.tyop_2Emin_2Ebool)) % 0.41/0.63 (define @t106 () (@var "V1" (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind))) % 0.41/0.63 (define @t107 () (_ @t85 @t106)) % 0.41/0.63 (define @t108 () (@list @t85 @t106)) % 0.41/0.63 (define @t109 () (@var "V0t" Bool)) % 0.41/0.63 (define @t110 () (@list @t109)) % 0.41/0.63 (define @t111 () (@var "V0M_2E0" tptp.u)) % 0.41/0.63 (define @t112 () (_ @t13 (_ (_ tptp.app_2E2 (_ @t6 @t111)) @t44))) % 0.41/0.63 (define @t113 () (@var "V0P_2E0" tptp.u)) % 0.41/0.63 (define @t114 () (_ @t46 @t113)) % 0.41/0.63 (define @t115 () (_ tptp.app_2E2 @t114)) % 0.41/0.63 (define @t116 () (@var "V0f" (-> tptp.mono_2Etyop_2Emin_2Eind tptp.mono_2Etyop_2Emin_2Eind))) % 0.41/0.63 (define @t117 () (@var "V0x" Bool)) % 0.41/0.63 (define @t118 () (@list @t117)) % 0.41/0.63 (define @t119 () (forall @t118 (= @t117 @t117))) % 0.41/0.63 (define @t120 () (= tptp.mono_2Ec_2Ebool_2ET @t119)) % 0.41/0.63 (define @t121 () (_ @t46 @t16)) % 0.41/0.63 (define @t122 () (_ tptp.app_2E2 @t121)) % 0.41/0.63 (define @t123 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t122 @t44)))) % 0.41/0.63 (define @t124 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_3F_2E1 @t121)))) % 0.41/0.63 (define @t125 () (@var "V2t" Bool)) % 0.41/0.63 (define @t126 () (@var "V1x_27" Bool)) % 0.41/0.63 (define @t127 () (=> @t126 @t125)) % 0.41/0.63 (define @t128 () (@list @t125)) % 0.41/0.63 (define @t129 () (@list @t117 @t126)) % 0.41/0.63 (define @t130 () (@var "V2y_2E0" tptp.u)) % 0.41/0.63 (define @t131 () (_ @t11 @t130)) % 0.41/0.63 (define @t132 () (@var "V1x_27_2E0" tptp.u)) % 0.41/0.63 (define @t133 () (_ @t11 @t132)) % 0.41/0.63 (define @t134 () (_ @t6 @t16)) % 0.41/0.63 (define @t135 () (_ tptp.app_2E2 @t134)) % 0.41/0.63 (define @t136 () (_ @t13 (_ @t135 @t133))) % 0.41/0.63 (define @t137 () (@list @t3 @t2 @t16 @t132)) % 0.41/0.63 (define @t138 () (@var "V2x_27_27_2E0" tptp.u)) % 0.41/0.63 (define @t139 () (_ @t11 @t138)) % 0.41/0.63 (define @t140 () (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t117))) % 0.41/0.63 (define @t141 () (@var "F0_2E0" tptp.u)) % 0.41/0.63 (define @t142 () (_ @t4 @t72)) % 0.41/0.63 (define @t143 () (_ @t46 (_ (_ tptp.app_2E2 (_ @t73 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t142) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t53 @t142)) @t141)) @t140))) @t133))) @t139))) % 0.41/0.63 (define @t144 () (@var "V3x_2E0" tptp.u)) % 0.41/0.63 (define @t145 () (_ @t11 @t144)) % 0.41/0.63 (define @t146 () (@list @t3 @t141)) % 0.41/0.63 (define @t147 () (@var "V2x2_2E0" tptp.u)) % 0.41/0.63 (define @t148 () (_ @t11 @t147)) % 0.41/0.63 (define @t149 () (@var "V1x1_2E0" tptp.u)) % 0.41/0.63 (define @t150 () (_ @t11 @t149)) % 0.41/0.63 (define @t151 () (@list @t3 @t2 @t16)) % 0.41/0.63 (define @t152 () (@var "V5x_27_2E0" tptp.u)) % 0.41/0.63 (define @t153 () (_ @t25 @t132)) % 0.41/0.63 (define @t154 () (_ tptp.app_2E2 @t153)) % 0.41/0.63 (define @t155 () (@var "V4x_2E0" tptp.u)) % 0.41/0.63 (define @t156 () (_ @t11 @t155)) % 0.41/0.63 (define @t157 () (@var "V3x_27_27_2E0" tptp.u)) % 0.41/0.63 (define @t158 () (_ @t13 @t157)) % 0.41/0.63 (define @t159 () (@var "V2x_27_2E0" tptp.u)) % 0.41/0.63 (define @t160 () (_ @t13 @t159)) % 0.41/0.63 (define @t161 () (_ @t46 @t132)) % 0.41/0.63 (define @t162 () (_ tptp.app_2E2 @t161)) % 0.41/0.63 (define @t163 () (@list @t3 @t16 @t132)) % 0.41/0.63 (define @t164 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t162 @t12)))) % 0.41/0.63 (define @t165 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2EIN_2E2 @t12) @t121)))) % 0.41/0.63 (define @t166 () (_ tptp.c_2Ebool_2ERES__FORALL_2E2 @t121)) % 0.41/0.63 (define @t167 () (and @t165 @t164)) % 0.41/0.63 (define @t168 () (_ tptp.c_2Ebool_2ERES__EXISTS_2E2 @t121)) % 0.41/0.63 (define @t169 () (@var "F1_2E0" tptp.u)) % 0.41/0.63 (define @t170 () (_ @t65 @t45)) % 0.41/0.63 (define @t171 () (_ tptp.s (_ @t65 @t170))) % 0.41/0.63 (define @t172 () (_ tptp.s @t170)) % 0.41/0.63 (define @t173 () (_ @t46 (_ (_ tptp.app_2E2 (_ @t172 (_ (_ tptp.app_2E2 (_ @t171 @t169)) @t121))) @t161))) % 0.41/0.63 (define @t174 () (_ @t46 (_ (_ tptp.app_2E2 (_ @t172 @t141)) @t161))) % 0.41/0.63 (define @t175 () (@list @t16 @t132)) % 0.41/0.63 (define @t176 () (@var "F2_2E0" tptp.u)) % 0.41/0.63 (define @t177 () (_ @t46 (_ (_ tptp.app_2E2 (_ @t73 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t65 @t72)) @t176)) @t161))) @t145))) % 0.41/0.63 (define @t178 () (@var "V4y_2E0" tptp.u)) % 0.41/0.63 (define @t179 () (_ @t11 @t178)) % 0.41/0.63 (define @t180 () (_ @t46 (_ (_ tptp.app_2E2 (_ @t172 (_ (_ tptp.app_2E2 (_ @t171 @t141)) @t121))) @t161))) % 0.41/0.63 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall @t15 (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 0.41/0.63 (assume @p2 (forall @t20 (= (_ @t11 (_ (_ tptp.app_2E2 (_ @t19 tptp.combin_i_2E0)) @t17)) @t17))) % 0.41/0.63 (assume @p3 (forall (@list @t3 @t2 @t16 @t21) (= (_ @t11 (_ (_ tptp.app_2E2 (_ @t25 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t24)) tptp.combin_k_2E0)) @t17))) @t22)) @t17))) % 0.41/0.63 (assume @p4 (forall (@list @t3 @t2 @t26 @t8 @t1 @t10) (= (_ @t30 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t31) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t33) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t28) @t33)) tptp.combin_s_2E0)) @t29))) @t7))) @t12)) (_ @t30 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t27) (_ (_ tptp.app_2E2 @t29) @t12))) @t14))))) % 0.41/0.63 (assume @p5 (forall @t36 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t35) @t34) (and @t35 @t34)))) % 0.41/0.63 (assume @p6 (forall @t36 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t35) @t34) (or @t35 @t34)))) % 0.41/0.63 (assume @p7 (forall @t37 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t35) (not @t35)))) % 0.41/0.63 (assume @p8 (forall @t36 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t35) @t34) (=> @t35 @t34)))) % 0.41/0.63 (assume @p9 (forall (@list @t3 @t40 @t38) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t41) @t39))) (= @t41 @t39)))) % 0.41/0.63 (assume @p10 (forall @t50 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_21_2E1 @t47))) (forall @t49 @t48)))) % 0.41/0.63 (assume @p11 (forall @t50 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_3F_2E1 @t47))) (exists @t49 @t48)))) % 0.41/0.63 (assume @p12 (forall @t52 (= (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t51))) @t51))) % 0.41/0.63 (assume @p13 (forall @t52 (= (_ @t55 (_ 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 @t56))) @t56))) % 0.41/0.63 (assume @p14 (forall @t52 (= (_ @t57 (_ 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 @t58))) @t58))) % 0.41/0.63 (assume @p15 (forall @t37 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t35))) @t35))) % 0.41/0.63 (assume @p16 (forall (@list @t59) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t60) @t59))) % 0.41/0.63 (assume @p17 (forall (@list @t61) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t62) @t61))) % 0.41/0.63 (assume @p18 (forall @t68 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_21_2E1 @t64))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t67 tptp.c_2Ebool_2E_21_2E0)) @t64)))))) % 0.41/0.63 (assume @p19 (forall @t74 (= (= @t71 @t70) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t46 (_ (_ tptp.app_2E2 (_ @t73 tptp.c_2Emin_2E_3D_2E0)) @t71))) @t70)))))) % 0.41/0.63 (assume @p20 (forall @t68 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_3F_2E1 @t64))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t67 tptp.c_2Ebool_2E_3F_2E0)) @t64)))))) % 0.41/0.63 (assume @p21 (forall @t77 (= (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t76)) (_ @t42 (_ (_ tptp.app_2E2 @t60) @t75))))) % 0.41/0.63 (assume @p22 (forall @t79 (= (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t78)) (_ @t55 (_ (_ tptp.app_2E2 @t62) @t75))))) % 0.41/0.63 (assume @p23 (forall @t77 (= @t76 @t76))) % 0.41/0.63 (assume @p24 (forall @t79 (= @t78 @t78))) % 0.41/0.63 (assume @p25 (forall @t52 (= (_ @t81 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 @t82))) @t82))) % 0.41/0.63 (assume @p26 (forall @t52 (= (_ @t83 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 @t84))) @t84))) % 0.41/0.63 (assume @p27 (forall (@list @t85) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 @t86) @t85))) % 0.41/0.63 (assume @p28 (forall @t89 (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 @t88) @t87))) % 0.41/0.63 (assume @p29 (forall @t68 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_3F_21_2E1 @t64))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t67 tptp.c_2Ebool_2E_3F_21_2E0)) @t64)))))) % 0.41/0.63 (assume @p30 (forall @t68 (= (_ @t11 (_ tptp.c_2Emin_2E_40_2E1 @t64)) (_ @t11 (_ (_ tptp.app_2E2 (_ @t91 tptp.c_2Emin_2E_40_2E0)) @t64))))) % 0.41/0.63 (assume @p31 (forall (@list @t3 @t94 @t69 @t92) (= (_ @t11 (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t95) @t70) @t93)) (_ @t11 (_ (_ tptp.app_2E2 (_ @t19 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t96) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t53 @t96)) tptp.c_2Ebool_2ECOND_2E0)) @t95))) @t70))) @t93))))) % 0.41/0.63 (assume @p32 (forall @t68 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2EDATATYPE_2E1 @t71))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t46 tptp.c_2Ebool_2EDATATYPE_2E0)) @t71)))))) % 0.41/0.63 (assume @p33 (forall @t74 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2EIN_2E2 @t71) @t97))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t67 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t66)) tptp.c_2Ebool_2EIN_2E0)) @t71))) @t97)))))) % 0.41/0.63 (assume @p34 (forall @t100 (= (_ @t13 (_ (_ tptp.c_2Ebool_2ELET_2E2 @t98) @t70)) (_ @t13 (_ (_ tptp.app_2E2 (_ @t6 (_ (_ tptp.app_2E2 (_ @t99 tptp.c_2Ebool_2ELET_2E0)) @t98))) @t70))))) % 0.41/0.63 (assume @p35 (forall @t102 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2EONE__ONE_2E1 @t98))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t101 tptp.c_2Ebool_2EONE__ONE_2E0)) @t98)))))) % 0.41/0.63 (assume @p36 (forall @t102 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2EONTO_2E1 @t98))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t101 tptp.c_2Ebool_2EONTO_2E0)) @t98)))))) % 0.41/0.63 (assume @p37 (forall @t74 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2ERES__EXISTS_2E2 @t64) @t97))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t67 (_ (_ tptp.app_2E2 (_ @t103 tptp.c_2Ebool_2ERES__EXISTS_2E0)) @t64))) @t97)))))) % 0.41/0.63 (assume @p38 (forall @t74 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2ERES__EXISTS__UNIQUE_2E2 @t64) @t97))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t67 (_ (_ tptp.app_2E2 (_ @t103 tptp.c_2Ebool_2ERES__EXISTS__UNIQUE_2E0)) @t64))) @t97)))))) % 0.41/0.63 (assume @p39 (forall @t74 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2ERES__FORALL_2E2 @t64) @t97))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ @t67 (_ (_ tptp.app_2E2 (_ @t103 tptp.c_2Ebool_2ERES__FORALL_2E0)) @t64))) @t97)))))) % 0.41/0.63 (assume @p40 (forall @t74 (= (_ @t11 (_ (_ tptp.c_2Ebool_2ERES__SELECT_2E2 @t64) @t97)) (_ @t11 (_ (_ tptp.app_2E2 (_ @t91 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t65 @t90)) tptp.c_2Ebool_2ERES__SELECT_2E0)) @t64))) @t97))))) % 0.41/0.63 (assume @p41 (forall @t100 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2ETYPE__DEFINITION_2E2 @t64) @t104))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t105) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t65 @t105)) tptp.c_2Ebool_2ETYPE__DEFINITION_2E0)) @t64))) @t104)))))) % 0.41/0.63 (assume @p42 (forall @t100 (= (_ @t13 (_ (_ tptp.c_2Ebool_2Eliteral__case_2E2 @t98) @t70)) (_ @t13 (_ (_ tptp.app_2E2 (_ @t6 (_ (_ tptp.app_2E2 (_ @t99 tptp.c_2Ebool_2Eliteral__case_2E0)) @t98))) @t70))))) % 0.41/0.63 (assume @p43 (forall @t108 (= (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t107)) (_ @t42 (_ (_ tptp.app_2E2 @t86) (_ @t83 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29 @t106))))))) % 0.41/0.63 (assume @p44 (= (_ @t81 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind)) (_ @t81 tptp.c_2Ebool_2EONE__ONE_2E0))) % 0.41/0.63 (assume @p45 (forall @t89 (= (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind @t87))) (_ @t42 (_ tptp.c_2Ebool_2EONE__ONE_2E1 @t88))))) % 0.41/0.63 (assume @p46 (= (_ @t81 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2EONTO_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind)) (_ @t81 tptp.c_2Ebool_2EONTO_2E0))) % 0.41/0.63 (assume @p47 (forall @t89 (= (_ @t42 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.mono_2Ec_2Ebool_2EONTO_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind @t87))) (_ @t42 (_ tptp.c_2Ebool_2EONTO_2E1 @t88))))) % 0.41/0.63 (assume @p48 (forall @t108 (= @t107 @t107))) % 0.41/0.63 (assume @p49 (forall @t110 (or (= @t109 tptp.mono_2Ec_2Ebool_2ET) (= @t109 tptp.mono_2Ec_2Ebool_2EF)))) % 0.41/0.63 (assume @p50 (forall (@list @t3 @t2 @t111 @t43) (= @t112 @t112))) % 0.41/0.63 (assume @p51 (forall (@list @t3 @t113 @t43) (=> (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t115 @t44))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t115 (_ @t11 (_ tptp.c_2Emin_2E_40_2E1 @t114)))))))) % 0.41/0.63 (assume @p52 (exists (@list @t116) (and (_ tptp.mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind @t116) (not (_ tptp.mono_2Ec_2Ebool_2EONTO_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind @t116))))) % 0.41/0.63 (assume @p53 @t120) % 0.41/0.63 (assume @p54 (forall @t20 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_21_2E1 @t121))) (forall @t49 (= @t123 tptp.mono_2Ec_2Ebool_2ET))))) % 0.41/0.63 (assume @p55 (forall @t20 (= @t124 (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t122 (_ @t11 (_ tptp.c_2Emin_2E_40_2E1 @t121)))))))) % 0.41/0.63 (assume @p56 (forall @t129 (= (and @t117 @t126) (forall @t128 (=> (=> @t117 @t127) @t125))))) % 0.41/0.63 (assume @p57 (forall @t129 (= (or @t117 @t126) (forall @t128 (=> (=> @t117 @t125) (=> @t127 @t125)))))) % 0.41/0.63 (assume @p58 (= tptp.mono_2Ec_2Ebool_2EF (forall @t110 @t109))) % 0.41/0.63 (assume @p59 (forall @t118 (= (not @t117) (=> @t117 tptp.mono_2Ec_2Ebool_2EF)))) % 0.41/0.63 (assume @p60 (forall @t20 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2E_3F_21_2E1 @t121))) (and @t124 (forall (@list @t43 @t130) (=> (and @t123 (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t122 @t131)))) (= @t44 @t131))))))) % 0.41/0.63 (assume @p61 (forall @t137 (= (_ @t13 (_ (_ tptp.c_2Ebool_2ELET_2E2 @t134) @t133)) @t136))) % 0.41/0.63 (assume @p62 (forall @t146 (=> (forall (@list @t117 @t132 @t138 @t144) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 @t143) @t145))) (and (=> (= @t117 tptp.mono_2Ec_2Ebool_2ET) (= @t145 @t133)) (=> (= @t117 tptp.mono_2Ec_2Ebool_2EF) (= @t145 @t139))))) (forall (@list @t117 @t132 @t138) (= (_ @t11 (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t140) @t133) @t139)) (_ @t11 (_ tptp.c_2Emin_2E_40_2E1 @t143))))))) % 0.41/0.63 (assume @p63 (forall @t151 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2EONE__ONE_2E1 @t134))) (forall (@list @t149 @t147) (=> (= (_ @t13 (_ @t135 @t150)) (_ @t13 (_ @t135 @t148))) (= @t150 @t148)))))) % 0.41/0.63 (assume @p64 (forall @t151 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2EONTO_2E1 @t134))) (forall (@list @t21) (exists @t15 (= @t22 (_ @t13 (_ @t135 @t12)))))))) % 0.41/0.63 (assume @p65 (forall @t137 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2ETYPE__DEFINITION_2E2 @t121) @t153))) (and (forall (@list @t159 @t157) (=> (= (_ @t11 (_ @t154 @t160)) (_ @t11 (_ @t154 @t158))) (= @t160 @t158))) (forall (@list @t155) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t122 @t156))) (exists (@list @t152) (= @t156 (_ @t11 (_ @t154 (_ @t13 @t152))))))))))) % 0.41/0.63 (assume @p66 (forall @t137 (= (_ @t13 (_ (_ tptp.c_2Ebool_2Eliteral__case_2E2 @t134) @t133)) @t136))) % 0.41/0.63 (assume @p67 (forall @t163 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2EIN_2E2 @t17) @t161))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t162 @t17)))))) % 0.41/0.63 (assume @p68 (forall @t163 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t166 @t161))) (forall @t15 (=> @t165 @t164))))) % 0.41/0.63 (assume @p69 (forall @t163 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t168 @t161))) (exists @t15 @t167)))) % 0.41/0.63 (assume @p70 (forall (@list @t3 @t176 @t169 @t141) (=> (forall (@list @t132 @t144 @t178) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 @t177) @t179))) (=> (and (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t162 @t145))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t162 @t179)))) (= @t145 @t179)))) (=> (forall (@list @t16 @t132 @t144) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 @t173) @t145))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t166 @t177))))) (=> (forall (@list @t132 @t10) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 @t174) @t12))) @t164)) (forall @t175 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.c_2Ebool_2ERES__EXISTS__UNIQUE_2E2 @t121) @t161))) (and (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t168 @t174))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ @t166 @t173))))))))))) % 0.41/0.63 (assume @p71 (forall @t146 (=> (forall (@list @t16 @t132 @t10) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ (_ tptp.app_2E2 @t180) @t12))) @t167)) (forall @t175 (= (_ @t11 (_ (_ tptp.c_2Ebool_2ERES__SELECT_2E2 @t121) @t161)) (_ @t11 (_ tptp.c_2Emin_2E_40_2E1 @t180))))))) % 0.41/0.63 (assume @p72 (forall @t118 (= (_ tptp.mono_2Ec_2Ebool_2EBOUNDED @t117) tptp.mono_2Ec_2Ebool_2ET))) % 0.41/0.63 (assume @p73 (forall @t20 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t42 (_ tptp.c_2Ebool_2EDATATYPE_2E1 @t17))) tptp.mono_2Ec_2Ebool_2ET))) % 0.41/0.63 (assume @p74 (not tptp.mono_2Ec_2Ebool_2ET)) % 0.41/0.63 (assume @p75 true) % 0.41/0.63 (step @p76 :rule bool-eq-true :args (tptp.mono_2Ec_2Ebool_2ET)) % 0.41/0.63 (step @p77 :rule quant-unused-vars :args ((= (forall @t118 true) true))) % 0.41/0.63 (step @p78 :rule eq-refl :args (@t117)) % 0.41/0.63 (step @p79 :rule cong :premises (@p78) :args (@t119)) % 0.41/0.63 (step @p80 :rule trans :premises (@p79 @p77)) % 0.41/0.63 (step @p81 :rule refl :args (tptp.mono_2Ec_2Ebool_2ET)) % 0.41/0.63 (step @p82 :rule cong :premises (@p81 @p80) :args (@t120)) % 0.41/0.63 (step @p83 :rule trans :premises (@p82 @p76)) % 0.41/0.63 (step @p84 :rule eq_resolve :premises (@p53 @p83)) % 0.41/0.63 (step @p85 false :rule contra :premises (@p84 @p74)) % 0.41/0.63 ) % 0.41/0.63 % SZS output end Proof % 0.41/0.63 % cvc5 exiting %------------------------------------------------------------------------------