%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP012^1 : 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 : n007.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 08:24:33 AM UTC 2026 % Result : Theorem 0.36s 0.71s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ITP012^1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 03:47:41 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TH0 % 0.36/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.71 % SZS status Theorem % 0.36/0.71 % SZS output start Proof % 0.36/0.71 ( % 0.36/0.71 (declare-sort tptp.mono_2Etyop_2Einteger_2Eint 0) % 0.36/0.71 (declare-sort tptp.u 0) % 0.36/0.71 (declare-sort tptp.du 0) % 0.36/0.71 (declare-sort tptp.d 0) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Einteger_2Eint__neg (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 0.36/0.71 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.36/0.71 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.36/0.71 (declare-const tptp.i_mono_2Etyop_2Einteger_2Eint (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.u)) % 0.36/0.71 (declare-const tptp.j_mono_2Etyop_2Einteger_2Eint (-> tptp.du tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Einteger_2Eint__divides (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint Bool)) % 0.36/0.71 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.36/0.71 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.36/0.71 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.36/0.71 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 (-> (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint) tptp.u)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 0.36/0.71 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Einteger_2Eint__add (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (declare-const tptp.tyop_2Einteger_2Eint tptp.d) % 0.36/0.71 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Einteger_2Eint Bool)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 0.36/0.71 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 0.36/0.71 (declare-const tptp.combin_k_2E0 tptp.u) % 0.36/0.71 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 0.36/0.71 (declare-const tptp.combin_i_2E0 tptp.u) % 0.36/0.71 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.36/0.71 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 0.36/0.71 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 0.36/0.71 (declare-const tptp.mono_2Ec_2Einteger_2Eint__sub (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.36/0.71 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.36/0.71 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (-> (-> tptp.mono_2Etyop_2Einteger_2Eint Bool) tptp.u)) % 0.36/0.71 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.36/0.71 (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)) % 0.36/0.71 (declare-const tptp.combin_s_2E0 tptp.u) % 0.36/0.71 (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)) % 0.36/0.71 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint Bool)) % 0.36/0.71 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 (-> (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint Bool) tptp.u)) % 0.36/0.71 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 (-> tptp.du tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (-> tptp.du tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (-> (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint) tptp.u)) % 0.36/0.71 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.36/0.71 (define @t2 () (@var "A_27b" tptp.d)) % 0.36/0.71 (define @t3 () (@var "A_27a" tptp.d)) % 0.36/0.71 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 0.36/0.71 (define @t5 () (_ @t4 @t2)) % 0.36/0.71 (define @t6 () (_ tptp.s @t5)) % 0.36/0.71 (define @t7 () (_ @t6 @t1)) % 0.36/0.71 (define @t8 () (@var "V0f_2E0" tptp.u)) % 0.36/0.71 (define @t9 () (_ @t6 @t8)) % 0.36/0.71 (define @t10 () (@var "V2x_2E0" tptp.u)) % 0.36/0.71 (define @t11 () (_ tptp.s @t3)) % 0.36/0.71 (define @t12 () (_ @t11 @t10)) % 0.36/0.71 (define @t13 () (_ tptp.s @t2)) % 0.36/0.71 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 0.36/0.71 (define @t15 () (@list @t10)) % 0.36/0.71 (define @t16 () (@var "V0x_2E0" tptp.u)) % 0.36/0.71 (define @t17 () (_ @t11 @t16)) % 0.36/0.71 (define @t18 () (@var "V1y_2E0" tptp.u)) % 0.36/0.71 (define @t19 () (_ tptp.tyop_2Emin_2Efun @t2)) % 0.36/0.71 (define @t20 () (_ @t19 @t3)) % 0.36/0.71 (define @t21 () (@var "A_27c" tptp.d)) % 0.36/0.71 (define @t22 () (_ @t19 @t21)) % 0.36/0.71 (define @t23 () (_ @t4 @t22)) % 0.36/0.71 (define @t24 () (_ (_ tptp.s @t23) @t8)) % 0.36/0.71 (define @t25 () (_ tptp.s @t21)) % 0.36/0.71 (define @t26 () (_ @t4 @t21)) % 0.36/0.71 (define @t27 () (_ (_ tptp.tyop_2Emin_2Efun @t5) @t26)) % 0.36/0.71 (define @t28 () (@var "V1" Bool)) % 0.36/0.71 (define @t29 () (@var "V0" Bool)) % 0.36/0.71 (define @t30 () (@list @t29 @t28)) % 0.36/0.71 (define @t31 () (@list @t29)) % 0.36/0.71 (define @t32 () (@var "V1_2E0" tptp.u)) % 0.36/0.71 (define @t33 () (_ @t11 @t32)) % 0.36/0.71 (define @t34 () (@var "V0_2E0" tptp.u)) % 0.36/0.71 (define @t35 () (_ @t11 @t34)) % 0.36/0.71 (define @t36 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 0.36/0.71 (define @t37 () (@var "V1x_2E0" tptp.u)) % 0.36/0.71 (define @t38 () (_ @t11 @t37)) % 0.36/0.71 (define @t39 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 0.36/0.71 (define @t40 () (_ tptp.s @t39)) % 0.36/0.71 (define @t41 () (_ @t40 @t8)) % 0.36/0.71 (define @t42 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 @t41) @t38)))) % 0.36/0.71 (define @t43 () (@list @t37)) % 0.36/0.71 (define @t44 () (@list @t3 @t8)) % 0.36/0.71 (define @t45 () (_ @t36 @t34)) % 0.36/0.71 (define @t46 () (@list @t34)) % 0.36/0.71 (define @t47 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 0.36/0.71 (define @t48 () (_ @t47 tptp.tyop_2Emin_2Ebool)) % 0.36/0.71 (define @t49 () (_ tptp.s @t48)) % 0.36/0.71 (define @t50 () (_ @t49 @t34)) % 0.36/0.71 (define @t51 () (_ tptp.s (_ @t47 @t48))) % 0.36/0.71 (define @t52 () (_ @t51 @t34)) % 0.36/0.71 (define @t53 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint)) % 0.36/0.71 (define @t54 () (_ @t53 tptp.tyop_2Emin_2Ebool)) % 0.36/0.71 (define @t55 () (_ tptp.s @t54)) % 0.36/0.71 (define @t56 () (_ @t55 @t34)) % 0.36/0.71 (define @t57 () (_ tptp.s (_ @t53 @t54))) % 0.36/0.71 (define @t58 () (_ @t57 @t34)) % 0.36/0.71 (define @t59 () (_ @t53 tptp.tyop_2Einteger_2Eint)) % 0.36/0.71 (define @t60 () (_ tptp.s (_ @t53 @t59))) % 0.36/0.71 (define @t61 () (_ @t60 @t34)) % 0.36/0.71 (define @t62 () (_ tptp.s @t59)) % 0.36/0.71 (define @t63 () (_ @t62 @t34)) % 0.36/0.71 (define @t64 () (_ tptp.s tptp.tyop_2Einteger_2Eint)) % 0.36/0.71 (define @t65 () (_ @t64 @t34)) % 0.36/0.71 (define @t66 () (@var "V0" (-> Bool Bool))) % 0.36/0.71 (define @t67 () (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t66))) % 0.36/0.71 (define @t68 () (@var "V0" (-> Bool Bool Bool))) % 0.36/0.71 (define @t69 () (_ @t51 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t68))) % 0.36/0.71 (define @t70 () (@var "V0" (-> tptp.mono_2Etyop_2Einteger_2Eint Bool))) % 0.36/0.71 (define @t71 () (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t70))) % 0.36/0.71 (define @t72 () (@var "V0" (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint Bool))) % 0.36/0.71 (define @t73 () (_ @t57 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @t72))) % 0.36/0.71 (define @t74 () (@var "V0" (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint))) % 0.36/0.71 (define @t75 () (_ @t60 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @t74))) % 0.36/0.71 (define @t76 () (@var "V0" (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint))) % 0.36/0.71 (define @t77 () (_ @t62 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t76))) % 0.36/0.71 (define @t78 () (@var "V0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t79 () (@var "X0_2E0" tptp.u)) % 0.36/0.71 (define @t80 () (_ @t40 @t79)) % 0.36/0.71 (define @t81 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t39) tptp.tyop_2Emin_2Ebool))) % 0.36/0.71 (define @t82 () (@list @t3 @t79)) % 0.36/0.71 (define @t83 () (@var "X1_2E0" tptp.u)) % 0.36/0.71 (define @t84 () (_ @t11 @t83)) % 0.36/0.71 (define @t85 () (_ @t11 @t79)) % 0.36/0.71 (define @t86 () (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t28))) % 0.36/0.71 (define @t87 () (_ @t66 @t28)) % 0.36/0.71 (define @t88 () (@list @t66 @t28)) % 0.36/0.71 (define @t89 () (_ @t68 @t28)) % 0.36/0.71 (define @t90 () (@list @t68 @t28)) % 0.36/0.71 (define @t91 () (@var "V1" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t92 () (_ @t64 (_ tptp.i_mono_2Etyop_2Einteger_2Eint @t91))) % 0.36/0.71 (define @t93 () (_ @t70 @t91)) % 0.36/0.71 (define @t94 () (@list @t70 @t91)) % 0.36/0.71 (define @t95 () (_ @t72 @t91)) % 0.36/0.71 (define @t96 () (@list @t72 @t91)) % 0.36/0.71 (define @t97 () (_ @t74 @t91)) % 0.36/0.71 (define @t98 () (@list @t74 @t91)) % 0.36/0.71 (define @t99 () (_ @t76 @t91)) % 0.36/0.71 (define @t100 () (@list @t76 @t91)) % 0.36/0.71 (define @t101 () (@var "V1t2" Bool)) % 0.36/0.71 (define @t102 () (@var "V0t1" Bool)) % 0.36/0.71 (define @t103 () (@var "V0t" Bool)) % 0.36/0.71 (define @t104 () (not @t103)) % 0.36/0.71 (define @t105 () (=> @t103 tptp.mono_2Ec_2Ebool_2EF)) % 0.36/0.71 (define @t106 () (@list @t103)) % 0.36/0.71 (define @t107 () (forall @t106 (= (not @t104) @t103))) % 0.36/0.71 (define @t108 () (@var "V0P_2E0" tptp.u)) % 0.36/0.71 (define @t109 () (_ tptp.app_2E2 (_ @t40 @t108))) % 0.36/0.71 (define @t110 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ @t109 @t12)))) % 0.36/0.71 (define @t111 () (@var "V4x_2E0" tptp.u)) % 0.36/0.71 (define @t112 () (@var "V1Q_2E0" tptp.u)) % 0.36/0.71 (define @t113 () (_ tptp.app_2E2 (_ @t40 @t112))) % 0.36/0.71 (define @t114 () (@var "V3x_2E0" tptp.u)) % 0.36/0.71 (define @t115 () (@var "V2C" Bool)) % 0.36/0.71 (define @t116 () (@var "V1B" Bool)) % 0.36/0.71 (define @t117 () (@var "V0A" Bool)) % 0.36/0.71 (define @t118 () (or @t117 @t116 @t115)) % 0.36/0.71 (define @t119 () (or @t117 @t116)) % 0.36/0.71 (define @t120 () (@list @t117 @t116)) % 0.36/0.71 (define @t121 () (not @t116)) % 0.36/0.71 (define @t122 () (not @t117)) % 0.36/0.71 (define @t123 () (@var "V1y" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t124 () (_ tptp.mono_2Ec_2Einteger_2Eint__neg @t123)) % 0.36/0.71 (define @t125 () (@var "V0x" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t126 () (_ tptp.mono_2Ec_2Einteger_2Eint__add @t125)) % 0.36/0.71 (define @t127 () (_ @t126 @t124)) % 0.36/0.71 (define @t128 () (_ (_ tptp.mono_2Ec_2Einteger_2Eint__sub @t125) @t123)) % 0.36/0.71 (define @t129 () (= @t128 @t127)) % 0.36/0.71 (define @t130 () (forall (@list @t125 @t123) @t129)) % 0.36/0.71 (define @t131 () (@var "V2r" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t132 () (@var "V0p" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t133 () (_ tptp.mono_2Ec_2Einteger_2Eint__divides @t132)) % 0.36/0.71 (define @t134 () (_ @t133 @t131)) % 0.36/0.71 (define @t135 () (@var "V1q" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t136 () (_ (_ tptp.mono_2Ec_2Einteger_2Eint__add @t131) @t135)) % 0.36/0.71 (define @t137 () (_ @t133 @t136)) % 0.36/0.71 (define @t138 () (= @t137 @t134)) % 0.36/0.71 (define @t139 () (_ @t133 @t135)) % 0.36/0.71 (define @t140 () (@list @t132 @t135 @t131)) % 0.36/0.71 (define @t141 () (forall @t140 (=> @t139 @t138))) % 0.36/0.71 (define @t142 () (_ (_ tptp.mono_2Ec_2Einteger_2Eint__divides (_ tptp.mono_2Ec_2Einteger_2Eint__neg @t132)) @t135)) % 0.36/0.71 (define @t143 () (_ @t133 (_ tptp.mono_2Ec_2Einteger_2Eint__neg @t135))) % 0.36/0.71 (define @t144 () (and (= @t143 @t139) (= @t142 @t139))) % 0.36/0.71 (define @t145 () (@list @t132 @t135)) % 0.36/0.71 (define @t146 () (forall @t145 @t144)) % 0.36/0.71 (define @t147 () (=> @t122 tptp.mono_2Ec_2Ebool_2EF)) % 0.36/0.71 (define @t148 () (@list @t117)) % 0.36/0.71 (define @t149 () (@var "V0B" Bool)) % 0.36/0.71 (define @t150 () (=> (not @t149) tptp.mono_2Ec_2Ebool_2EF)) % 0.36/0.71 (define @t151 () (@var "V1A" Bool)) % 0.36/0.71 (define @t152 () (@list @t149 @t151)) % 0.36/0.71 (define @t153 () (@var "V2p" Bool)) % 0.36/0.71 (define @t154 () (not @t153)) % 0.36/0.71 (define @t155 () (@var "V1q" Bool)) % 0.36/0.71 (define @t156 () (not @t155)) % 0.36/0.71 (define @t157 () (@var "V0r" Bool)) % 0.36/0.71 (define @t158 () (not @t157)) % 0.36/0.71 (define @t159 () (@list @t157 @t155 @t153)) % 0.36/0.71 (define @t160 () (or @t153 @t158)) % 0.36/0.71 (define @t161 () (@var "V1p" Bool)) % 0.36/0.71 (define @t162 () (@var "V0q" Bool)) % 0.36/0.71 (define @t163 () (not @t162)) % 0.36/0.71 (define @t164 () (_ (_ tptp.mono_2Ec_2Einteger_2Eint__sub @t131) @t135)) % 0.36/0.71 (define @t165 () (_ @t133 @t164)) % 0.36/0.71 (define @t166 () (=> @t139 (= @t165 @t134))) % 0.36/0.71 (define @t167 () (forall @t140 @t166)) % 0.36/0.71 (define @t168 () (not @t167)) % 0.36/0.71 (define @t169 () (tptp.mono_2Ec_2Einteger_2Eint__neg @t123)) % 0.36/0.71 (define @t170 () (tptp.mono_2Ec_2Einteger_2Eint__add @t125 @t169)) % 0.36/0.71 (define @t171 () (tptp.mono_2Ec_2Einteger_2Eint__sub @t125 @t123)) % 0.36/0.71 (define @t172 () (tptp.mono_2Ec_2Einteger_2Eint__sub @t131 @t135)) % 0.36/0.71 (define @t173 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t132 @t172)) % 0.36/0.71 (define @t174 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t132 @t131)) % 0.36/0.71 (define @t175 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t132 @t135)) % 0.36/0.71 (define @t176 () (not @t175)) % 0.36/0.71 (define @t177 () (forall @t140 (or @t176 (= @t174 @t173)))) % 0.36/0.71 (define @t178 () (@quantifiers_skolemize @t177 1)) % 0.36/0.71 (define @t179 () (@quantifiers_skolemize @t177 2)) % 0.36/0.71 (define @t180 () (= @t134 @t165)) % 0.36/0.71 (define @t181 () (not @t139)) % 0.36/0.71 (define @t182 () (or @t181 @t180)) % 0.36/0.71 (define @t183 () (tptp.mono_2Ec_2Einteger_2Eint__sub @t179 @t178)) % 0.36/0.71 (define @t184 () (@quantifiers_skolemize @t177 0)) % 0.36/0.71 (define @t185 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t184 @t183)) % 0.36/0.71 (define @t186 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t184 @t179)) % 0.36/0.71 (define @t187 () (= @t186 @t185)) % 0.36/0.71 (define @t188 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t184 @t178)) % 0.36/0.71 (define @t189 () (not @t188)) % 0.36/0.71 (define @t190 () (or @t189 @t187)) % 0.36/0.71 (define @t191 () (@list true)) % 0.36/0.71 (define @t192 () (@list @t190)) % 0.36/0.71 (define @t193 () (tptp.mono_2Ec_2Einteger_2Eint__add @t131 @t135)) % 0.36/0.71 (define @t194 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t132 @t193)) % 0.36/0.71 (define @t195 () (or @t181 @t138)) % 0.36/0.71 (define @t196 () (tptp.mono_2Ec_2Einteger_2Eint__neg @t178)) % 0.36/0.71 (define @t197 () (tptp.mono_2Ec_2Einteger_2Eint__add @t179 @t196)) % 0.36/0.71 (define @t198 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t184 @t197)) % 0.36/0.71 (define @t199 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t184 @t196)) % 0.36/0.71 (define @t200 () (not @t199)) % 0.36/0.71 (define @t201 () (or @t200 (= @t198 @t186))) % 0.36/0.71 (define @t202 () (forall @t140 (or @t176 (= @t194 @t174)))) % 0.36/0.71 (define @t203 () (= @t186 @t198)) % 0.36/0.71 (define @t204 () (or @t200 @t203)) % 0.36/0.71 (define @t205 () (@var "BOUND_VARIABLE_8907" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t206 () (@var "BOUND_VARIABLE_8905" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t207 () (_ tptp.mono_2Ec_2Einteger_2Eint__neg @t206)) % 0.36/0.71 (define @t208 () (tptp.mono_2Ec_2Einteger_2Eint__neg @t206)) % 0.36/0.71 (define @t209 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t208 @t205)) % 0.36/0.71 (define @t210 () (_ (_ tptp.mono_2Ec_2Einteger_2Eint__divides @t207) @t205)) % 0.36/0.71 (define @t211 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t206 @t205)) % 0.36/0.71 (define @t212 () (_ (_ tptp.mono_2Ec_2Einteger_2Eint__divides @t206) @t205)) % 0.36/0.71 (define @t213 () (= @t212 @t210)) % 0.36/0.71 (define @t214 () (forall (@list @t206 @t205) @t213)) % 0.36/0.71 (define @t215 () (@var "BOUND_VARIABLE_8896" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t216 () (_ tptp.mono_2Ec_2Einteger_2Eint__neg @t215)) % 0.36/0.71 (define @t217 () (@var "BOUND_VARIABLE_8894" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.36/0.71 (define @t218 () (tptp.mono_2Ec_2Einteger_2Eint__neg @t215)) % 0.36/0.71 (define @t219 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t217 @t218)) % 0.36/0.71 (define @t220 () (_ tptp.mono_2Ec_2Einteger_2Eint__divides @t217)) % 0.36/0.71 (define @t221 () (_ @t220 @t216)) % 0.36/0.71 (define @t222 () (tptp.mono_2Ec_2Einteger_2Eint__divides @t217 @t215)) % 0.36/0.71 (define @t223 () (_ @t220 @t215)) % 0.36/0.71 (define @t224 () (= @t223 @t221)) % 0.36/0.71 (define @t225 () (forall (@list @t217 @t215) @t224)) % 0.36/0.71 (define @t226 () (= @t139 @t142)) % 0.36/0.71 (define @t227 () (forall @t145 @t226)) % 0.36/0.71 (define @t228 () (@list @t132 @t135)) % 0.36/0.71 (define @t229 () (= @t139 @t143)) % 0.36/0.71 (define @t230 () (forall @t145 @t229)) % 0.36/0.71 (define @t231 () (and @t230 @t227)) % 0.36/0.71 (define @t232 () (= @t188 @t199)) % 0.36/0.71 (define @t233 () (@list false false)) % 0.36/0.71 (define @t234 () (not @t203)) % 0.36/0.71 (define @t235 () (not @t186)) % 0.36/0.71 (define @t236 () (not @t198)) % 0.36/0.71 (define @t237 () (= @t183 @t197)) % 0.36/0.71 (define @t238 () (not @t237)) % 0.36/0.71 (define @t239 () (not @t185)) % 0.36/0.71 (define @t240 () (and @t239 @t237)) % 0.36/0.71 (define @t241 () (and @t185 @t237)) % 0.36/0.71 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall @t15 (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 0.36/0.71 (assume @p2 (forall (@list @t3 @t16) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t3)) tptp.combin_i_2E0)) @t17)) @t17))) % 0.36/0.71 (assume @p3 (forall (@list @t3 @t2 @t16 @t18) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t20) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t20)) tptp.combin_k_2E0)) @t17))) (_ @t13 @t18))) @t17))) % 0.36/0.71 (assume @p4 (forall (@list @t3 @t2 @t21 @t8 @t1 @t10) (= (_ @t25 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t26) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t27) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t23) @t27)) tptp.combin_s_2E0)) @t24))) @t7))) @t12)) (_ @t25 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t22) (_ (_ tptp.app_2E2 @t24) @t12))) @t14))))) % 0.36/0.71 (assume @p5 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t29) @t28) (and @t29 @t28)))) % 0.36/0.71 (assume @p6 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t29) @t28) (or @t29 @t28)))) % 0.36/0.71 (assume @p7 (forall @t31 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t29) (not @t29)))) % 0.36/0.71 (assume @p8 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t29) @t28) (=> @t29 @t28)))) % 0.36/0.71 (assume @p9 (forall (@list @t3 @t34 @t32) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t35) @t33))) (= @t35 @t33)))) % 0.36/0.71 (assume @p10 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_21_2E1 @t41))) (forall @t43 @t42)))) % 0.36/0.71 (assume @p11 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_3F_2E1 @t41))) (exists @t43 @t42)))) % 0.36/0.71 (assume @p12 (forall @t46 (= (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t45))) @t45))) % 0.36/0.71 (assume @p13 (forall @t46 (= (_ @t49 (_ 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 @t50))) @t50))) % 0.36/0.71 (assume @p14 (forall @t46 (= (_ @t51 (_ 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 @t52))) @t52))) % 0.36/0.71 (assume @p15 (forall @t46 (= (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t56))) @t56))) % 0.36/0.71 (assume @p16 (forall @t46 (= (_ @t57 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @t58))) @t58))) % 0.36/0.71 (assume @p17 (forall @t46 (= (_ @t60 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @t61))) @t61))) % 0.36/0.71 (assume @p18 (forall @t46 (= (_ @t62 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t63))) @t63))) % 0.36/0.71 (assume @p19 (forall @t46 (= (_ @t64 (_ tptp.i_mono_2Etyop_2Einteger_2Eint (_ tptp.j_mono_2Etyop_2Einteger_2Eint @t65))) @t65))) % 0.36/0.71 (assume @p20 (forall @t31 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t29))) @t29))) % 0.36/0.71 (assume @p21 (forall (@list @t66) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t67) @t66))) % 0.36/0.71 (assume @p22 (forall (@list @t68) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t69) @t68))) % 0.36/0.71 (assume @p23 (forall (@list @t70) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t71) @t70))) % 0.36/0.71 (assume @p24 (forall (@list @t72) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @t73) @t72))) % 0.36/0.71 (assume @p25 (forall (@list @t74) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @t75) @t74))) % 0.36/0.71 (assume @p26 (forall (@list @t76) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t77) @t76))) % 0.36/0.71 (assume @p27 (forall (@list @t78) (= (_ tptp.j_mono_2Etyop_2Einteger_2Eint (_ @t64 (_ tptp.i_mono_2Etyop_2Einteger_2Eint @t78))) @t78))) % 0.36/0.71 (assume @p28 (forall @t82 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_21_2E1 @t80))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t81 tptp.c_2Ebool_2E_21_2E0)) @t80)))))) % 0.36/0.71 (assume @p29 (forall (@list @t3 @t79 @t83) (= (= @t85 @t84) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t40 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t39)) tptp.c_2Emin_2E_3D_2E0)) @t85))) @t84)))))) % 0.36/0.71 (assume @p30 (forall @t82 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_3F_2E1 @t80))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t81 tptp.c_2Ebool_2E_3F_2E0)) @t80)))))) % 0.36/0.71 (assume @p31 (forall @t88 (= (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t87)) (_ @t36 (_ (_ tptp.app_2E2 @t67) @t86))))) % 0.36/0.71 (assume @p32 (forall @t90 (= (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t89)) (_ @t49 (_ (_ tptp.app_2E2 @t69) @t86))))) % 0.36/0.71 (assume @p33 (forall @t94 (= (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t93)) (_ @t36 (_ (_ tptp.app_2E2 @t71) @t92))))) % 0.36/0.71 (assume @p34 (forall @t96 (= (_ @t55 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t95)) (_ @t55 (_ (_ tptp.app_2E2 @t73) @t92))))) % 0.36/0.71 (assume @p35 (forall @t98 (= (_ @t62 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t97)) (_ @t62 (_ (_ tptp.app_2E2 @t75) @t92))))) % 0.36/0.71 (assume @p36 (forall @t100 (= (_ @t64 (_ tptp.i_mono_2Etyop_2Einteger_2Eint @t99)) (_ @t64 (_ (_ tptp.app_2E2 @t77) @t92))))) % 0.36/0.71 (assume @p37 (forall @t88 (= @t87 @t87))) % 0.36/0.71 (assume @p38 (forall @t90 (= @t89 @t89))) % 0.36/0.71 (assume @p39 (forall @t94 (= @t93 @t93))) % 0.36/0.71 (assume @p40 (forall @t96 (= @t95 @t95))) % 0.36/0.71 (assume @p41 (forall @t98 (= @t97 @t97))) % 0.36/0.71 (assume @p42 (forall @t100 (= @t99 @t99))) % 0.36/0.71 (assume @p43 tptp.mono_2Ec_2Ebool_2ET) % 0.36/0.71 (assume @p44 (forall (@list @t102 @t101) (=> (=> @t102 @t101) (=> (=> @t101 @t102) (= @t102 @t101))))) % 0.36/0.71 (assume @p45 (forall @t106 (=> @t105 @t104))) % 0.36/0.71 (assume @p46 (forall @t106 (=> @t104 @t105))) % 0.36/0.71 (assume @p47 (forall @t106 (and (= (=> tptp.mono_2Ec_2Ebool_2ET @t103) @t103) (= (=> @t103 tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2ET) (= (=> tptp.mono_2Ec_2Ebool_2EF @t103) tptp.mono_2Ec_2Ebool_2ET) (= (=> @t103 @t103) tptp.mono_2Ec_2Ebool_2ET) (= @t105 @t104)))) % 0.36/0.71 (assume @p48 (and @t107 (= (not tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2EF) (= (not tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2ET))) % 0.36/0.71 (assume @p49 (forall @t106 (and (= (= tptp.mono_2Ec_2Ebool_2ET @t103) @t103) (= (= @t103 tptp.mono_2Ec_2Ebool_2ET) @t103) (= (= tptp.mono_2Ec_2Ebool_2EF @t103) @t104) (= (= @t103 tptp.mono_2Ec_2Ebool_2EF) @t104)))) % 0.36/0.71 (assume @p50 (forall (@list @t3 @t108) (= (not (forall @t43 (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ @t109 @t38))))) (exists @t15 (not @t110))))) % 0.36/0.71 (assume @p51 (forall (@list @t3 @t108 @t112) (= (forall @t15 (and @t110 (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ @t113 @t12))))) (and (forall (@list @t114) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ @t109 (_ @t11 @t114))))) (forall (@list @t111) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ @t113 (_ @t11 @t111))))))))) % 0.36/0.71 (assume @p52 (forall (@list @t117 @t116 @t115) (= @t118 @t118))) % 0.36/0.71 (assume @p53 (forall @t120 (= @t119 (or @t116 @t117)))) % 0.36/0.71 (assume @p54 (forall @t120 (and (= (not (and @t117 @t116)) (or @t122 @t121)) (= (not @t119) (and @t122 @t121))))) % 0.36/0.71 (assume @p55 @t130) % 0.36/0.71 (assume @p56 @t141) % 0.36/0.71 (assume @p57 @t146) % 0.36/0.71 (assume @p58 @t107) % 0.36/0.71 (assume @p59 (forall @t148 (=> @t117 @t147))) % 0.36/0.71 (assume @p60 (forall @t152 (= (=> (not (or @t151 @t149)) tptp.mono_2Ec_2Ebool_2EF) (=> (=> @t151 tptp.mono_2Ec_2Ebool_2EF) @t150)))) % 0.36/0.71 (assume @p61 (forall @t152 (= (=> (not (or (not @t151) @t149)) tptp.mono_2Ec_2Ebool_2EF) (=> @t151 @t150)))) % 0.36/0.71 (assume @p62 (forall @t148 (=> @t147 (=> (=> @t117 tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF)))) % 0.36/0.71 (assume @p63 (forall @t159 (= (= @t153 (= @t155 @t157)) (and (or @t153 @t155 @t157) (or @t153 @t158 @t156) (or @t155 @t158 @t154) (or @t157 @t156 @t154))))) % 0.36/0.71 (assume @p64 (forall @t159 (= (= @t153 (and @t155 @t157)) (and (or @t153 @t156 @t158) (or @t155 @t154) (or @t157 @t154))))) % 0.36/0.71 (assume @p65 (forall @t159 (= (= @t153 (or @t155 @t157)) (and (or @t153 @t156) @t160 (or @t155 @t157 @t154))))) % 0.36/0.71 (assume @p66 (forall @t159 (= (= @t153 (=> @t155 @t157)) (and (or @t153 @t155) @t160 (or @t156 @t157 @t154))))) % 0.36/0.71 (assume @p67 (forall (@list @t162 @t161) (= (= @t161 @t163) (and (or @t161 @t162) (or @t163 (not @t161)))))) % 0.36/0.71 (assume @p68 @t168) % 0.36/0.71 (assume @p69 true) % 0.36/0.71 (step @p70 :rule refl :args ((tptp.mono_2Ec_2Einteger_2Eint__add @t125 @t124))) % 0.36/0.71 (step @p71 :rule refl :args (@t169)) % 0.36/0.71 (step @p72 :rule refl :args (@t125)) % 0.36/0.71 (step @p73 :rule cong :premises (@p72 @p71) :args (@t170)) % 0.36/0.71 (step @p74 :rule trans :premises (@p73 @p70)) % 0.36/0.71 (step @p75 :rule refl :args (@t126)) % 0.36/0.71 (step @p76 :rule ho_cong :premises (@p75 @p71)) % 0.36/0.71 (step @p77 :rule cong :premises (@p76 @p74) :args ((= (_ @t126 @t169) @t170))) % 0.36/0.71 (step @p78 :rule symm :premises (@p77)) % 0.36/0.71 (step @p79 :rule refl :args (@t127)) % 0.36/0.71 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.36/0.71 (step @p81 :rule refl :args (@t124)) % 0.36/0.71 (step @p82 :rule cong :premises (@p81 @p71) :args ((= @t124 @t169))) % 0.36/0.71 (step @p83 :rule symm :premises (@p82)) % 0.36/0.71 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.36/0.71 (step @p85 :rule ho_cong :premises (@p75 @p84)) % 0.36/0.71 (step @p86 :rule trans :premises (@p85 @p80)) % 0.36/0.71 (step @p87 :rule refl :args (@t171)) % 0.36/0.71 (step @p88 :rule refl :args (@t128)) % 0.36/0.71 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t128 @t171))) % 0.36/0.71 (step @p90 :rule symm :premises (@p89)) % 0.36/0.71 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.36/0.71 (step @p92 :rule cong :premises (@p91 @p86) :args (@t129)) % 0.36/0.71 (step @p93 :rule cong :premises (@p92) :args (@t130)) % 0.36/0.71 (step @p94 :rule eq_resolve :premises (@p55 @p93)) % 0.36/0.71 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t179 @t178))) % 0.36/0.71 (step @p96 :rule refl :args ((tptp.mono_2Ec_2Einteger_2Eint__divides @t132 @t164))) % 0.36/0.71 (step @p97 :rule refl :args (@t172)) % 0.36/0.71 (step @p98 :rule refl :args (@t132)) % 0.36/0.71 (step @p99 :rule cong :premises (@p98 @p97) :args (@t173)) % 0.36/0.71 (step @p100 :rule trans :premises (@p99 @p96)) % 0.36/0.71 (step @p101 :rule refl :args (@t133)) % 0.36/0.71 (step @p102 :rule ho_cong :premises (@p101 @p97)) % 0.36/0.71 (step @p103 :rule cong :premises (@p102 @p100) :args ((= (_ @t133 @t172) @t173))) % 0.36/0.71 (step @p104 :rule symm :premises (@p103)) % 0.36/0.71 (step @p105 :rule refl :args (@t165)) % 0.36/0.71 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.36/0.71 (step @p107 :rule refl :args (@t164)) % 0.36/0.71 (step @p108 :rule cong :premises (@p107 @p97) :args ((= @t164 @t172))) % 0.36/0.71 (step @p109 :rule symm :premises (@p108)) % 0.36/0.71 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.36/0.71 (step @p111 :rule ho_cong :premises (@p101 @p110)) % 0.36/0.71 (step @p112 :rule trans :premises (@p111 @p106)) % 0.36/0.71 (step @p113 :rule refl :args (@t174)) % 0.36/0.71 (step @p114 :rule refl :args (@t134)) % 0.36/0.71 (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t134 @t174))) % 0.36/0.71 (step @p116 :rule symm :premises (@p115)) % 0.36/0.71 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.36/0.71 (step @p118 :rule cong :premises (@p117 @p112) :args (@t180)) % 0.36/0.71 (step @p119 :rule refl :args (@t175)) % 0.36/0.71 (step @p120 :rule refl :args (@t139)) % 0.36/0.71 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t139 @t175))) % 0.36/0.71 (step @p122 :rule symm :premises (@p121)) % 0.36/0.71 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.36/0.71 (step @p124 :rule cong :premises (@p123) :args (@t181)) % 0.36/0.71 (step @p125 :rule nary_cong :premises (@p124 @p118) :args (@t182)) % 0.36/0.71 (step @p126 :rule cong :premises (@p125) :args ((forall @t140 @t182))) % 0.36/0.71 (step @p127 :rule bool-impl-elim :args (@t139 @t180)) % 0.36/0.71 (step @p128 :rule cong :premises (@p127) :args ((forall @t140 (=> @t139 @t180)))) % 0.36/0.71 (step @p129 :rule trans :premises (@p128 @p126)) % 0.36/0.71 (step @p130 :rule eq-symm :args (@t165 @t134)) % 0.36/0.71 (step @p131 :rule refl :args (@t139)) % 0.36/0.71 (step @p132 :rule cong :premises (@p131 @p130) :args (@t166)) % 0.36/0.71 (step @p133 :rule cong :premises (@p132) :args (@t167)) % 0.36/0.71 (step @p134 :rule trans :premises (@p133 @p129)) % 0.36/0.71 (step @p135 :rule cong :premises (@p134) :args (@t168)) % 0.36/0.71 (step @p136 :rule eq_resolve :premises (@p68 @p135)) % 0.36/0.71 (step @p137 :rule skolemize :premises (@p136)) % 0.36/0.71 (step @p138 :rule cnf_or_neg :args (@t190 1)) % 0.36/0.71 (step @p139 :rule chain_m_resolution :premises (@p138 @p137) :args ((not @t187) @t191 @t192)) % 0.36/0.71 (step @p140 :rule cnf_equiv_neg2 :args (@t187)) % 0.36/0.71 (step @p141 :rule refl :args ((tptp.mono_2Ec_2Einteger_2Eint__divides @t132 @t136))) % 0.36/0.71 (step @p142 :rule refl :args (@t193)) % 0.36/0.71 (step @p143 :rule cong :premises (@p98 @p142) :args (@t194)) % 0.36/0.71 (step @p144 :rule trans :premises (@p143 @p141)) % 0.36/0.71 (step @p145 :rule ho_cong :premises (@p101 @p142)) % 0.36/0.71 (step @p146 :rule cong :premises (@p145 @p144) :args ((= (_ @t133 @t193) @t194))) % 0.36/0.71 (step @p147 :rule symm :premises (@p146)) % 0.36/0.71 (step @p148 :rule refl :args (@t137)) % 0.36/0.71 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.36/0.71 (step @p150 :rule refl :args (@t136)) % 0.36/0.71 (step @p151 :rule cong :premises (@p150 @p142) :args ((= @t136 @t193))) % 0.36/0.71 (step @p152 :rule symm :premises (@p151)) % 0.36/0.71 (step @p153 :rule eq_resolve :premises (@p150 @p152)) % 0.36/0.71 (step @p154 :rule ho_cong :premises (@p101 @p153)) % 0.36/0.71 (step @p155 :rule trans :premises (@p154 @p149)) % 0.36/0.71 (step @p156 :rule cong :premises (@p155 @p117) :args (@t138)) % 0.36/0.71 (step @p157 :rule nary_cong :premises (@p124 @p156) :args (@t195)) % 0.36/0.71 (step @p158 :rule cong :premises (@p157) :args ((forall @t140 @t195))) % 0.36/0.71 (step @p159 :rule bool-impl-elim :args (@t139 @t138)) % 0.36/0.71 (step @p160 :rule cong :premises (@p159) :args (@t141)) % 0.36/0.71 (step @p161 :rule trans :premises (@p160 @p158)) % 0.36/0.71 (step @p162 :rule eq_resolve :premises (@p56 @p161)) % 0.36/0.71 (step @p163 :rule eq-symm :args (@t198 @t186)) % 0.36/0.71 (step @p164 :rule refl :args (@t200)) % 0.36/0.71 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t201)) % 0.36/0.71 (step @p166 :rule refl :args (@t202)) % 0.36/0.71 (step @p167 :rule cong :premises (@p166 @p165) :args ((=> @t202 @t201))) % 0.36/0.71 (assume-push @p307 @t202) % 0.36/0.71 (step @p169 :rule instantiate :premises (@p162) :args ((@list @t184 @t196 @t179))) % 0.36/0.71 (step-pop @p308 :rule scope :premises (@p169)) % 0.36/0.71 (step @p170 :rule process_scope :premises (@p308) :args (@t201)) % 0.36/0.71 (step @p172 :rule eq_resolve :premises (@p170 @p167)) % 0.36/0.71 (step @p173 :rule implies_elim :premises (@p172)) % 0.36/0.71 (step @p174 :rule chain_m_resolution :premises (@p173 @p162) :args (@t204 (@list false) (@list @t202))) % 0.36/0.71 (step @p175 :rule refl :args ((tptp.mono_2Ec_2Einteger_2Eint__divides @t207 @t205))) % 0.36/0.71 (step @p176 :rule refl :args (@t205)) % 0.36/0.71 (step @p177 :rule refl :args (@t208)) % 0.36/0.71 (step @p178 :rule cong :premises (@p177 @p176) :args (@t209)) % 0.36/0.71 (step @p179 :rule trans :premises (@p178 @p175)) % 0.36/0.71 (step @p180 :rule refl :args (tptp.mono_2Ec_2Einteger_2Eint__divides)) % 0.36/0.71 (step @p181 :rule ho_cong :premises (@p180 @p177)) % 0.36/0.71 (step @p182 :rule ho_cong :premises (@p181 @p176)) % 0.36/0.71 (step @p183 :rule cong :premises (@p182 @p179) :args ((= (_ (_ tptp.mono_2Ec_2Einteger_2Eint__divides @t208) @t205) @t209))) % 0.36/0.71 (step @p184 :rule symm :premises (@p183)) % 0.36/0.71 (step @p185 :rule refl :args (@t210)) % 0.36/0.71 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.36/0.71 (step @p187 :rule refl :args (@t207)) % 0.36/0.71 (step @p188 :rule cong :premises (@p187 @p177) :args ((= @t207 @t208))) % 0.36/0.71 (step @p189 :rule symm :premises (@p188)) % 0.36/0.71 (step @p190 :rule eq_resolve :premises (@p187 @p189)) % 0.36/0.71 (step @p191 :rule ho_cong :premises (@p180 @p190)) % 0.36/0.71 (step @p192 :rule ho_cong :premises (@p191 @p176)) % 0.36/0.71 (step @p193 :rule trans :premises (@p192 @p186)) % 0.36/0.71 (step @p194 :rule refl :args (@t211)) % 0.36/0.71 (step @p195 :rule refl :args (@t212)) % 0.36/0.71 (step @p196 :rule cong :premises (@p195 @p194) :args ((= @t212 @t211))) % 0.36/0.71 (step @p197 :rule symm :premises (@p196)) % 0.36/0.71 (step @p198 :rule eq_resolve :premises (@p195 @p197)) % 0.36/0.71 (step @p199 :rule cong :premises (@p198 @p193) :args (@t213)) % 0.36/0.71 (step @p200 :rule cong :premises (@p199) :args (@t214)) % 0.36/0.71 (step @p201 :rule refl :args ((tptp.mono_2Ec_2Einteger_2Eint__divides @t217 @t216))) % 0.36/0.71 (step @p202 :rule refl :args (@t218)) % 0.36/0.71 (step @p203 :rule refl :args (@t217)) % 0.36/0.71 (step @p204 :rule cong :premises (@p203 @p202) :args (@t219)) % 0.36/0.71 (step @p205 :rule trans :premises (@p204 @p201)) % 0.36/0.71 (step @p206 :rule refl :args (@t220)) % 0.36/0.71 (step @p207 :rule ho_cong :premises (@p206 @p202)) % 0.36/0.71 (step @p208 :rule cong :premises (@p207 @p205) :args ((= (_ @t220 @t218) @t219))) % 0.36/0.71 (step @p209 :rule symm :premises (@p208)) % 0.36/0.71 (step @p210 :rule refl :args (@t221)) % 0.36/0.71 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.36/0.71 (step @p212 :rule refl :args (@t216)) % 0.36/0.71 (step @p213 :rule cong :premises (@p212 @p202) :args ((= @t216 @t218))) % 0.36/0.71 (step @p214 :rule symm :premises (@p213)) % 0.36/0.71 (step @p215 :rule eq_resolve :premises (@p212 @p214)) % 0.36/0.71 (step @p216 :rule ho_cong :premises (@p206 @p215)) % 0.36/0.71 (step @p217 :rule trans :premises (@p216 @p211)) % 0.36/0.71 (step @p218 :rule refl :args (@t222)) % 0.36/0.71 (step @p219 :rule refl :args (@t223)) % 0.36/0.71 (step @p220 :rule cong :premises (@p219 @p218) :args ((= @t223 @t222))) % 0.36/0.71 (step @p221 :rule symm :premises (@p220)) % 0.36/0.71 (step @p222 :rule eq_resolve :premises (@p219 @p221)) % 0.36/0.71 (step @p223 :rule cong :premises (@p222 @p217) :args (@t224)) % 0.36/0.71 (step @p224 :rule cong :premises (@p223) :args (@t225)) % 0.36/0.71 (step @p225 :rule nary_cong :premises (@p224 @p200) :args ((and @t225 @t214))) % 0.36/0.71 (step @p226 :rule alpha_equiv :args (@t227 @t228 (@list @t206 @t205))) % 0.36/0.71 (step @p227 :rule alpha_equiv :args (@t230 @t228 (@list @t217 @t215))) % 0.36/0.71 (step @p228 :rule nary_cong :premises (@p227 @p226) :args (@t231)) % 0.36/0.71 (step @p229 :rule quant-miniscope-and :args ((= (forall @t145 (and @t229 @t226)) @t231))) % 0.36/0.71 (step @p230 :rule trans :premises (@p229 @p228)) % 0.36/0.71 (step @p231 :rule trans :premises (@p230 @p225)) % 0.36/0.71 (step @p232 :rule eq-symm :args (@t142 @t139)) % 0.36/0.71 (step @p233 :rule eq-symm :args (@t143 @t139)) % 0.36/0.71 (step @p234 :rule nary_cong :premises (@p233 @p232) :args (@t144)) % 0.36/0.71 (step @p235 :rule cong :premises (@p234) :args (@t146)) % 0.36/0.71 (step @p236 :rule trans :premises (@p235 @p231)) % 0.36/0.71 (step @p237 :rule eq_resolve :premises (@p57 @p236)) % 0.36/0.71 (step @p238 :rule and_elim :premises (@p237) :args (0)) % 0.36/0.71 (step @p239 :rule instantiate :premises (@p238) :args ((@list @t184 @t178))) % 0.36/0.71 (step @p240 :rule bool-double-not-elim :args (@t188)) % 0.36/0.71 (step @p241 :rule refl :args (@t190)) % 0.36/0.71 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t190 (not @t189)))) % 0.36/0.71 (step @p243 :rule cnf_or_neg :args (@t190 0)) % 0.36/0.71 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 0.36/0.71 (step @p245 :rule reordering :premises (@p244) :args ((or @t188 @t190))) % 0.36/0.71 (step @p246 :rule chain_m_resolution :premises (@p245 @p137) :args (@t188 @t191 @t192)) % 0.36/0.71 (step @p247 :rule cnf_equiv_pos1 :args (@t232)) % 0.36/0.71 (step @p248 :rule reordering :premises (@p247) :args ((or @t189 @t199 (not @t232)))) % 0.36/0.71 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p239) :args (@t199 @t233 (@list @t188 @t232))) % 0.36/0.71 (step @p250 :rule cnf_or_pos :args (@t204)) % 0.36/0.71 (step @p251 :rule reordering :premises (@p250) :args ((or @t200 @t203 (not @t204)))) % 0.36/0.71 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p174) :args (@t203 @t233 (@list @t199 @t204))) % 0.36/0.71 (step @p253 :rule cnf_equiv_pos1 :args (@t203)) % 0.36/0.71 (step @p254 :rule reordering :premises (@p253) :args ((or @t235 @t198 @t234))) % 0.36/0.71 (step @p255 :rule refl :args (@t236)) % 0.36/0.71 (step @p256 :rule refl :args (@t238)) % 0.36/0.71 (step @p257 :rule bool-double-not-elim :args (@t185)) % 0.36/0.71 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255) :args ((or (not @t239) @t238 @t236))) % 0.36/0.71 (assume-push @p309 @t239) % 0.36/0.71 (assume-push @p310 @t237) % 0.36/0.71 (assume-push @p311 @t239) % 0.36/0.71 (assume-push @p312 @t237) % 0.36/0.71 (step @p263 :rule false_intro :premises (@p309)) % 0.36/0.71 (step @p264 :rule symm :premises (@p95)) % 0.36/0.71 (step @p265 :rule refl :args (@t184)) % 0.36/0.71 (step @p266 :rule cong :premises (@p265 @p264) :args (@t198)) % 0.36/0.71 (step @p267 :rule trans :premises (@p266 @p263)) % 0.36/0.71 (step @p268 :rule false_elim :premises (@p267)) % 0.36/0.71 (step-pop @p313 :rule scope :premises (@p268)) % 0.36/0.71 (step-pop @p314 :rule scope :premises (@p313)) % 0.36/0.71 (step @p269 :rule process_scope :premises (@p314) :args (@t236)) % 0.36/0.71 (step @p272 :rule and_intro :premises (@p309 @p95)) % 0.36/0.71 (step @p273 :rule modus_ponens :premises (@p272 @p269)) % 0.36/0.71 (step-pop @p315 :rule scope :premises (@p273)) % 0.36/0.71 (step-pop @p316 :rule scope :premises (@p315)) % 0.36/0.71 (step @p274 :rule process_scope :premises (@p316) :args (@t236)) % 0.36/0.71 (step @p277 :rule implies_elim :premises (@p274)) % 0.36/0.71 (step @p278 :rule cnf_and_neg :args (@t240)) % 0.36/0.71 (step @p279 :rule resolution :premises (@p278 @p277) :args (true @t240)) % 0.36/0.71 (step @p280 :rule eq_resolve :premises (@p279 @p258)) % 0.36/0.71 (step @p281 :rule chain_m_resolution :premises (@p280 @p95 @p254 @p252 @p140 @p139) :args (@t235 (@list false false false true true) (@list @t237 @t198 @t203 @t185 @t187))) % 0.36/0.71 (step @p282 :rule cnf_equiv_neg1 :args (@t187)) % 0.36/0.71 (step @p283 :rule reordering :premises (@p282) :args ((or @t186 @t185 @t187))) % 0.36/0.71 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p139) :args (@t185 (@list true true) (@list @t186 @t187))) % 0.36/0.71 (step @p285 :rule cnf_equiv_pos2 :args (@t203)) % 0.36/0.71 (step @p286 :rule reordering :premises (@p285) :args ((or @t186 @t236 @t234))) % 0.36/0.71 (step @p287 :rule chain_m_resolution :premises (@p286 @p281 @p252) :args (@t236 (@list true false) (@list @t186 @t203))) % 0.36/0.71 (assume-push @p317 @t185) % 0.36/0.71 (assume-push @p318 @t237) % 0.36/0.71 (assume-push @p319 @t185) % 0.36/0.71 (assume-push @p320 @t237) % 0.36/0.71 (step @p292 :rule true_intro :premises (@p317)) % 0.36/0.71 (step @p264 :rule symm :premises (@p95)) % 0.36/0.71 (step @p265 :rule refl :args (@t184)) % 0.36/0.71 (step @p266 :rule cong :premises (@p265 @p264) :args (@t198)) % 0.36/0.71 (step @p293 :rule trans :premises (@p266 @p292)) % 0.36/0.71 (step @p294 :rule true_elim :premises (@p293)) % 0.36/0.71 (step-pop @p321 :rule scope :premises (@p294)) % 0.36/0.71 (step-pop @p322 :rule scope :premises (@p321)) % 0.36/0.71 (step @p295 :rule process_scope :premises (@p322) :args (@t198)) % 0.36/0.71 (step @p298 :rule and_intro :premises (@p317 @p95)) % 0.36/0.71 (step @p299 :rule modus_ponens :premises (@p298 @p295)) % 0.36/0.71 (step-pop @p323 :rule scope :premises (@p299)) % 0.36/0.71 (step-pop @p324 :rule scope :premises (@p323)) % 0.36/0.71 (step @p300 :rule process_scope :premises (@p324) :args (@t198)) % 0.36/0.71 (step @p303 :rule implies_elim :premises (@p300)) % 0.36/0.71 (step @p304 :rule cnf_and_neg :args (@t241)) % 0.36/0.71 (step @p305 :rule resolution :premises (@p304 @p303) :args (true @t241)) % 0.36/0.71 (step @p306 false :rule chain_m_resolution :premises (@p305 @p287 @p284 @p95) :args (false (@list true false false) (@list @t198 @t185 @t237))) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------