%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP004^1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:24:23 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP004^1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 03:36:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort tptp.u 0) % 0.44/0.63 (declare-sort tptp.du 0) % 0.44/0.63 (declare-sort tptp.d 0) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2ESUBSET_2E2 (-> tptp.du tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2ESUBSET_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2EREST_2E1 (-> tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2EREST_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.44/0.63 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 0.44/0.63 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 0.44/0.63 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 0.44/0.63 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.combin_s_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 0.44/0.63 (declare-const tptp.combin_k_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.combin_i_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 0.44/0.63 (declare-const tptp.c_2Ebool_2EIN_2E2 (-> tptp.du tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 0.44/0.63 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.44/0.63 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.44/0.63 (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)) % 0.44/0.63 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2ECHOICE_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2EDELETE_2E0 tptp.u) % 0.44/0.63 (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)) % 0.44/0.63 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2ECHOICE_2E1 (-> tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.c_2Epred__set_2EDELETE_2E2 (-> tptp.du tptp.du tptp.u)) % 0.44/0.63 (declare-const tptp.c_2Ebool_2EIN_2E0 tptp.u) % 0.44/0.63 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.44/0.63 (define @t2 () (@var "A_27b" tptp.d)) % 0.44/0.63 (define @t3 () (@var "A_27a" tptp.d)) % 0.44/0.63 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 0.44/0.63 (define @t5 () (_ @t4 @t2)) % 0.44/0.63 (define @t6 () (_ tptp.s @t5)) % 0.44/0.63 (define @t7 () (_ @t6 @t1)) % 0.44/0.63 (define @t8 () (@var "V0f_2E0" tptp.u)) % 0.44/0.63 (define @t9 () (_ @t6 @t8)) % 0.44/0.63 (define @t10 () (@var "V2x_2E0" tptp.u)) % 0.44/0.63 (define @t11 () (_ tptp.s @t3)) % 0.44/0.63 (define @t12 () (_ @t11 @t10)) % 0.44/0.63 (define @t13 () (_ tptp.s @t2)) % 0.44/0.63 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 0.44/0.63 (define @t15 () (@list @t10)) % 0.44/0.63 (define @t16 () (@var "V0x_2E0" tptp.u)) % 0.44/0.63 (define @t17 () (_ @t11 @t16)) % 0.44/0.63 (define @t18 () (@var "V1y_2E0" tptp.u)) % 0.44/0.63 (define @t19 () (_ tptp.tyop_2Emin_2Efun @t2)) % 0.44/0.63 (define @t20 () (_ @t19 @t3)) % 0.44/0.63 (define @t21 () (@var "A_27c" tptp.d)) % 0.44/0.63 (define @t22 () (_ @t19 @t21)) % 0.44/0.63 (define @t23 () (_ @t4 @t22)) % 0.44/0.63 (define @t24 () (_ (_ tptp.s @t23) @t8)) % 0.44/0.63 (define @t25 () (_ tptp.s @t21)) % 0.44/0.63 (define @t26 () (_ @t4 @t21)) % 0.44/0.63 (define @t27 () (_ (_ tptp.tyop_2Emin_2Efun @t5) @t26)) % 0.44/0.63 (define @t28 () (@var "V1" Bool)) % 0.44/0.63 (define @t29 () (@var "V0" Bool)) % 0.44/0.63 (define @t30 () (@list @t29 @t28)) % 0.44/0.63 (define @t31 () (@list @t29)) % 0.44/0.63 (define @t32 () (@var "V1_2E0" tptp.u)) % 0.44/0.63 (define @t33 () (_ @t11 @t32)) % 0.44/0.63 (define @t34 () (@var "V0_2E0" tptp.u)) % 0.44/0.63 (define @t35 () (_ @t11 @t34)) % 0.44/0.63 (define @t36 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (define @t37 () (@var "V1x_2E0" tptp.u)) % 0.44/0.63 (define @t38 () (_ @t11 @t37)) % 0.44/0.63 (define @t39 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (define @t40 () (_ tptp.s @t39)) % 0.44/0.63 (define @t41 () (_ @t40 @t8)) % 0.44/0.63 (define @t42 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 @t41) @t38)))) % 0.44/0.63 (define @t43 () (@list @t37)) % 0.44/0.63 (define @t44 () (@list @t3 @t8)) % 0.44/0.63 (define @t45 () (_ @t36 @t34)) % 0.44/0.63 (define @t46 () (@list @t34)) % 0.44/0.63 (define @t47 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (define @t48 () (_ @t47 tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (define @t49 () (_ tptp.s @t48)) % 0.44/0.63 (define @t50 () (_ @t49 @t34)) % 0.44/0.63 (define @t51 () (_ tptp.s (_ @t47 @t48))) % 0.44/0.63 (define @t52 () (_ @t51 @t34)) % 0.44/0.63 (define @t53 () (@var "V0" (-> Bool Bool))) % 0.44/0.63 (define @t54 () (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t53))) % 0.44/0.63 (define @t55 () (@var "V0" (-> Bool Bool Bool))) % 0.44/0.63 (define @t56 () (_ @t51 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t55))) % 0.44/0.63 (define @t57 () (@var "X0_2E0" tptp.u)) % 0.44/0.63 (define @t58 () (_ @t40 @t57)) % 0.44/0.63 (define @t59 () (_ tptp.tyop_2Emin_2Efun @t39)) % 0.44/0.63 (define @t60 () (_ @t59 tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (define @t61 () (_ tptp.s @t60)) % 0.44/0.63 (define @t62 () (@list @t3 @t57)) % 0.44/0.63 (define @t63 () (@var "X1_2E0" tptp.u)) % 0.44/0.63 (define @t64 () (_ @t11 @t63)) % 0.44/0.63 (define @t65 () (_ @t11 @t57)) % 0.44/0.63 (define @t66 () (_ @t4 @t39)) % 0.44/0.63 (define @t67 () (_ tptp.s @t66)) % 0.44/0.63 (define @t68 () (@list @t3 @t57 @t63)) % 0.44/0.63 (define @t69 () (_ @t40 @t63)) % 0.44/0.63 (define @t70 () (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t28))) % 0.44/0.63 (define @t71 () (_ @t53 @t28)) % 0.44/0.63 (define @t72 () (@list @t53 @t28)) % 0.44/0.63 (define @t73 () (_ @t55 @t28)) % 0.44/0.63 (define @t74 () (@list @t55 @t28)) % 0.44/0.63 (define @t75 () (@var "V1t_2E0" tptp.u)) % 0.44/0.63 (define @t76 () (_ @t40 @t75)) % 0.44/0.63 (define @t77 () (_ tptp.c_2Ebool_2EIN_2E2 @t12)) % 0.44/0.63 (define @t78 () (_ @t77 @t76)) % 0.44/0.63 (define @t79 () (_ @t36 @t78)) % 0.44/0.63 (define @t80 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t79)) % 0.44/0.63 (define @t81 () (@var "V0s_2E0" tptp.u)) % 0.44/0.63 (define @t82 () (_ @t40 @t81)) % 0.44/0.63 (define @t83 () (_ @t77 @t82)) % 0.44/0.63 (define @t84 () (_ @t36 @t83)) % 0.44/0.63 (define @t85 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t84)) % 0.44/0.63 (define @t86 () (forall @t15 (=> @t85 @t80))) % 0.44/0.63 (define @t87 () (_ (_ tptp.c_2Epred__set_2ESUBSET_2E2 @t82) @t76)) % 0.44/0.63 (define @t88 () (_ @t36 @t87)) % 0.44/0.63 (define @t89 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t88)) % 0.44/0.63 (define @t90 () (= @t89 @t86)) % 0.44/0.63 (define @t91 () (@list @t3 @t81 @t75)) % 0.44/0.63 (define @t92 () (forall @t91 @t90)) % 0.44/0.63 (define @t93 () (@var "V2y_2E0" tptp.u)) % 0.44/0.63 (define @t94 () (_ @t11 @t93)) % 0.44/0.63 (define @t95 () (= @t38 @t94)) % 0.44/0.63 (define @t96 () (not @t95)) % 0.44/0.63 (define @t97 () (_ tptp.c_2Ebool_2EIN_2E2 @t38)) % 0.44/0.63 (define @t98 () (_ @t97 @t82)) % 0.44/0.63 (define @t99 () (_ @t36 @t98)) % 0.44/0.63 (define @t100 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t99)) % 0.44/0.63 (define @t101 () (and @t100 @t96)) % 0.44/0.63 (define @t102 () (_ tptp.c_2Epred__set_2EDELETE_2E2 @t82)) % 0.44/0.63 (define @t103 () (_ @t102 @t94)) % 0.44/0.63 (define @t104 () (_ @t40 @t103)) % 0.44/0.63 (define @t105 () (_ @t97 @t104)) % 0.44/0.63 (define @t106 () (_ @t36 @t105)) % 0.44/0.63 (define @t107 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t106)) % 0.44/0.63 (define @t108 () (= @t107 @t101)) % 0.44/0.63 (define @t109 () (@list @t3 @t81 @t37 @t93)) % 0.44/0.63 (define @t110 () (forall @t109 @t108)) % 0.44/0.63 (define @t111 () (_ tptp.c_2Epred__set_2ECHOICE_2E1 @t82)) % 0.44/0.63 (define @t112 () (_ @t11 @t111)) % 0.44/0.63 (define @t113 () (_ @t102 @t112)) % 0.44/0.63 (define @t114 () (_ @t40 @t113)) % 0.44/0.63 (define @t115 () (_ tptp.c_2Epred__set_2EREST_2E1 @t82)) % 0.44/0.63 (define @t116 () (_ @t40 @t115)) % 0.44/0.63 (define @t117 () (= @t116 @t114)) % 0.44/0.63 (define @t118 () (@list @t3 @t81)) % 0.44/0.63 (define @t119 () (forall @t118 @t117)) % 0.44/0.63 (define @t120 () (_ (_ tptp.c_2Epred__set_2ESUBSET_2E2 @t116) @t82)) % 0.44/0.63 (define @t121 () (_ @t36 @t120)) % 0.44/0.63 (define @t122 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t121)) % 0.44/0.63 (define @t123 () (forall @t118 @t122)) % 0.44/0.63 (define @t124 () (not @t123)) % 0.44/0.63 (define @t125 () (tptp.s @t3 @t93)) % 0.44/0.63 (define @t126 () (tptp.s @t3 @t37)) % 0.44/0.63 (define @t127 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (define @t128 () (tptp.s @t127 @t81)) % 0.44/0.63 (define @t129 () (tptp.c_2Ebool_2EIN_2E2 @t126 @t128)) % 0.44/0.63 (define @t130 () (tptp.s tptp.tyop_2Emin_2Ebool @t129)) % 0.44/0.63 (define @t131 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t130)) % 0.44/0.63 (define @t132 () (_ tptp.c_2Ebool_2EIN_2E2 @t126)) % 0.44/0.63 (define @t133 () (_ tptp.s @t127)) % 0.44/0.63 (define @t134 () (tptp.c_2Epred__set_2EDELETE_2E2 @t128 @t125)) % 0.44/0.63 (define @t135 () (tptp.s @t127 @t134)) % 0.44/0.63 (define @t136 () (tptp.c_2Ebool_2EIN_2E2 @t126 @t135)) % 0.44/0.63 (define @t137 () (tptp.s tptp.tyop_2Emin_2Ebool @t136)) % 0.44/0.63 (define @t138 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t137)) % 0.44/0.63 (define @t139 () (_ tptp.c_2Epred__set_2EDELETE_2E2 @t128)) % 0.44/0.63 (define @t140 () (tptp.c_2Epred__set_2EREST_2E1 @t128)) % 0.44/0.63 (define @t141 () (tptp.s @t127 @t140)) % 0.44/0.63 (define @t142 () (tptp.c_2Epred__set_2ESUBSET_2E2 @t141 @t128)) % 0.44/0.63 (define @t143 () (tptp.s tptp.tyop_2Emin_2Ebool @t142)) % 0.44/0.63 (define @t144 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t143)) % 0.44/0.63 (define @t145 () (forall @t118 @t144)) % 0.44/0.63 (define @t146 () (@quantifiers_skolemize @t145 1)) % 0.44/0.63 (define @t147 () (@quantifiers_skolemize @t145 0)) % 0.44/0.63 (define @t148 () (tptp.tyop_2Emin_2Efun @t147 tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (define @t149 () (tptp.s @t148 @t146)) % 0.44/0.63 (define @t150 () (tptp.s @t147 @t10)) % 0.44/0.63 (define @t151 () (tptp.c_2Epred__set_2EREST_2E1 @t149)) % 0.44/0.63 (define @t152 () (tptp.s @t148 @t151)) % 0.44/0.63 (define @t153 () (forall @t15 (or (not (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t150 @t152)))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t150 @t149)))))) % 0.44/0.63 (define @t154 () (@quantifiers_skolemize @t153 0)) % 0.44/0.63 (define @t155 () (tptp.s @t147 @t154)) % 0.44/0.63 (define @t156 () (tptp.c_2Epred__set_2ECHOICE_2E1 @t149)) % 0.44/0.63 (define @t157 () (tptp.s @t147 @t156)) % 0.44/0.63 (define @t158 () (not (= @t155 @t157))) % 0.44/0.63 (define @t159 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t155 @t149)))) % 0.44/0.63 (define @t160 () (and @t159 @t158)) % 0.44/0.63 (define @t161 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t155 (tptp.s @t148 (tptp.c_2Epred__set_2EDELETE_2E2 @t149 @t157)))))) % 0.44/0.63 (define @t162 () (= @t161 @t160)) % 0.44/0.63 (define @t163 () (forall @t109 (= @t138 (and @t131 (not (= @t126 @t125)))))) % 0.44/0.63 (define @t164 () (and @t159 (not (= @t157 @t155)))) % 0.44/0.63 (define @t165 () (= @t161 @t164)) % 0.44/0.63 (define @t166 () (@list false)) % 0.44/0.63 (define @t167 () (tptp.s @t127 @t75)) % 0.44/0.63 (define @t168 () (tptp.c_2Epred__set_2ESUBSET_2E2 @t128 @t167)) % 0.44/0.63 (define @t169 () (tptp.s tptp.tyop_2Emin_2Ebool @t168)) % 0.44/0.63 (define @t170 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t169)) % 0.44/0.63 (define @t171 () (tptp.s @t3 @t10)) % 0.44/0.63 (define @t172 () (tptp.c_2Ebool_2EIN_2E2 @t171 @t167)) % 0.44/0.63 (define @t173 () (tptp.s tptp.tyop_2Emin_2Ebool @t172)) % 0.44/0.63 (define @t174 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t173)) % 0.44/0.63 (define @t175 () (tptp.c_2Ebool_2EIN_2E2 @t171 @t128)) % 0.44/0.63 (define @t176 () (tptp.s tptp.tyop_2Emin_2Ebool @t175)) % 0.44/0.63 (define @t177 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t176)) % 0.44/0.63 (define @t178 () (forall @t15 (or (not @t177) @t174))) % 0.44/0.63 (define @t179 () (= @t89 @t178)) % 0.44/0.63 (define @t180 () (_ tptp.c_2Ebool_2EIN_2E2 @t171)) % 0.44/0.63 (define @t181 () (not @t85)) % 0.44/0.63 (define @t182 () (or @t181 @t80)) % 0.44/0.63 (define @t183 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 @t152 @t149)))) % 0.44/0.63 (define @t184 () (forall @t91 (= @t178 @t170))) % 0.44/0.63 (define @t185 () (= @t153 @t183)) % 0.44/0.63 (define @t186 () (= @t183 @t153)) % 0.44/0.63 (define @t187 () (not @t153)) % 0.44/0.63 (define @t188 () (@list true false)) % 0.44/0.63 (define @t189 () (tptp.c_2Ebool_2EIN_2E2 @t155 @t152)) % 0.44/0.63 (define @t190 () (tptp.s tptp.tyop_2Emin_2Ebool @t189)) % 0.44/0.63 (define @t191 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t190)) % 0.44/0.63 (define @t192 () (not @t191)) % 0.44/0.63 (define @t193 () (or @t192 @t159)) % 0.44/0.63 (define @t194 () (@list true)) % 0.44/0.63 (define @t195 () (@list @t193)) % 0.44/0.63 (define @t196 () (not @t164)) % 0.44/0.63 (define @t197 () (not @t161)) % 0.44/0.63 (define @t198 () (tptp.c_2Epred__set_2ECHOICE_2E1 @t128)) % 0.44/0.63 (define @t199 () (tptp.s @t3 @t198)) % 0.44/0.63 (define @t200 () (tptp.c_2Epred__set_2EDELETE_2E2 @t128 @t199)) % 0.44/0.63 (define @t201 () (tptp.s @t127 @t200)) % 0.44/0.63 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall @t15 (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 0.44/0.63 (assume @p2 (forall (@list @t3 @t16) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t3)) tptp.combin_i_2E0)) @t17)) @t17))) % 0.44/0.63 (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))) % 0.44/0.63 (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))))) % 0.44/0.63 (assume @p5 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t29) @t28) (and @t29 @t28)))) % 0.44/0.63 (assume @p6 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t29) @t28) (or @t29 @t28)))) % 0.44/0.63 (assume @p7 (forall @t31 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t29) (not @t29)))) % 0.44/0.63 (assume @p8 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t29) @t28) (=> @t29 @t28)))) % 0.44/0.63 (assume @p9 (forall (@list @t3 @t34 @t32) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t35) @t33))) (= @t35 @t33)))) % 0.44/0.63 (assume @p10 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_21_2E1 @t41))) (forall @t43 @t42)))) % 0.44/0.63 (assume @p11 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_3F_2E1 @t41))) (exists @t43 @t42)))) % 0.44/0.63 (assume @p12 (forall @t46 (= (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t45))) @t45))) % 0.44/0.63 (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))) % 0.44/0.63 (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))) % 0.44/0.63 (assume @p15 (forall @t31 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t29))) @t29))) % 0.44/0.63 (assume @p16 (forall (@list @t53) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t54) @t53))) % 0.44/0.63 (assume @p17 (forall (@list @t55) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t56) @t55))) % 0.44/0.63 (assume @p18 (forall @t62 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_21_2E1 @t58))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t61 tptp.c_2Ebool_2E_21_2E0)) @t58)))))) % 0.44/0.63 (assume @p19 (forall @t68 (= (= @t65 @t64) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t40 (_ (_ tptp.app_2E2 (_ @t67 tptp.c_2Emin_2E_3D_2E0)) @t65))) @t64)))))) % 0.44/0.63 (assume @p20 (forall @t62 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_3F_2E1 @t58))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t61 tptp.c_2Ebool_2E_3F_2E0)) @t58)))))) % 0.44/0.63 (assume @p21 (forall @t62 (= (_ @t11 (_ tptp.c_2Epred__set_2ECHOICE_2E1 @t58)) (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t59 @t3)) tptp.c_2Epred__set_2ECHOICE_2E0)) @t58))))) % 0.44/0.63 (assume @p22 (forall @t68 (= (_ @t40 (_ (_ tptp.c_2Epred__set_2EDELETE_2E2 @t58) @t64)) (_ @t40 (_ (_ tptp.app_2E2 (_ @t67 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t59 @t66)) tptp.c_2Epred__set_2EDELETE_2E0)) @t58))) @t64))))) % 0.44/0.63 (assume @p23 (forall @t68 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.c_2Ebool_2EIN_2E2 @t65) @t69))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t61 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t60)) tptp.c_2Ebool_2EIN_2E0)) @t65))) @t69)))))) % 0.44/0.63 (assume @p24 (forall @t62 (= (_ @t40 (_ tptp.c_2Epred__set_2EREST_2E1 @t58)) (_ @t40 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t59 @t39)) tptp.c_2Epred__set_2EREST_2E0)) @t58))))) % 0.44/0.63 (assume @p25 (forall @t68 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.c_2Epred__set_2ESUBSET_2E2 @t58) @t69))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t61 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t59 @t60)) tptp.c_2Epred__set_2ESUBSET_2E0)) @t58))) @t69)))))) % 0.44/0.63 (assume @p26 (forall @t72 (= (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t71)) (_ @t36 (_ (_ tptp.app_2E2 @t54) @t70))))) % 0.44/0.63 (assume @p27 (forall @t74 (= (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t73)) (_ @t49 (_ (_ tptp.app_2E2 @t56) @t70))))) % 0.44/0.63 (assume @p28 (forall @t72 (= @t71 @t71))) % 0.44/0.63 (assume @p29 (forall @t74 (= @t73 @t73))) % 0.44/0.63 (assume @p30 @t92) % 0.44/0.63 (assume @p31 @t110) % 0.44/0.63 (assume @p32 @t119) % 0.44/0.63 (assume @p33 @t124) % 0.44/0.63 (assume @p34 true) % 0.44/0.63 (step @p35 :rule evaluate :args ((= true false))) % 0.44/0.63 (step @p36 :rule refl :args (@t125)) % 0.44/0.63 (step @p37 :rule refl :args (@t94)) % 0.44/0.63 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t94 @t125))) % 0.44/0.63 (step @p39 :rule symm :premises (@p38)) % 0.44/0.63 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.44/0.63 (step @p41 :rule refl :args (@t126)) % 0.44/0.63 (step @p42 :rule refl :args (@t38)) % 0.44/0.63 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t38 @t126))) % 0.44/0.63 (step @p44 :rule symm :premises (@p43)) % 0.44/0.63 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.44/0.63 (step @p46 :rule cong :premises (@p45 @p40) :args (@t95)) % 0.44/0.63 (step @p47 :rule cong :premises (@p46) :args (@t96)) % 0.44/0.63 (step @p48 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t99))) % 0.44/0.63 (step @p49 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t98))) % 0.44/0.63 (step @p50 :rule refl :args ((tptp.c_2Ebool_2EIN_2E2 @t38 @t82))) % 0.44/0.63 (step @p51 :rule refl :args ((tptp.s @t39 @t81))) % 0.44/0.63 (step @p52 :rule refl :args (@t81)) % 0.44/0.63 (step @p53 :rule refl :args (@t127)) % 0.44/0.63 (step @p54 :rule cong :premises (@p53 @p52) :args (@t128)) % 0.44/0.63 (step @p55 :rule trans :premises (@p54 @p51)) % 0.44/0.63 (step @p56 :rule cong :premises (@p41 @p55) :args (@t129)) % 0.44/0.63 (step @p57 :rule trans :premises (@p56 @p50)) % 0.44/0.63 (step @p58 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (step @p59 :rule cong :premises (@p58 @p57) :args (@t130)) % 0.44/0.63 (step @p60 :rule trans :premises (@p59 @p49)) % 0.44/0.63 (step @p61 :rule cong :premises (@p60) :args (@t131)) % 0.44/0.63 (step @p62 :rule trans :premises (@p61 @p48)) % 0.44/0.63 (step @p63 :rule refl :args (tptp.j_mono_2Etyop_2Emin_2Ebool)) % 0.44/0.63 (step @p64 :rule ho_cong :premises (@p63 @p60)) % 0.44/0.63 (step @p65 :rule cong :premises (@p64 @p62) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t130) @t131))) % 0.44/0.63 (step @p66 :rule symm :premises (@p65)) % 0.44/0.63 (step @p67 :rule refl :args (@t100)) % 0.44/0.63 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.44/0.63 (step @p69 :rule refl :args (@t36)) % 0.44/0.63 (step @p70 :rule ho_cong :premises (@p69 @p57)) % 0.44/0.63 (step @p71 :rule cong :premises (@p70 @p60) :args ((= (_ @t36 @t129) @t130))) % 0.44/0.63 (step @p72 :rule symm :premises (@p71)) % 0.44/0.63 (step @p73 :rule refl :args (@t99)) % 0.44/0.63 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.44/0.63 (step @p75 :rule refl :args (tptp.c_2Ebool_2EIN_2E2)) % 0.44/0.63 (step @p76 :rule ho_cong :premises (@p75 @p41)) % 0.44/0.63 (step @p77 :rule ho_cong :premises (@p76 @p55)) % 0.44/0.63 (step @p78 :rule cong :premises (@p77 @p57) :args ((= (_ @t132 @t128) @t129))) % 0.44/0.63 (step @p79 :rule symm :premises (@p78)) % 0.44/0.63 (step @p80 :rule refl :args (@t98)) % 0.44/0.63 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.44/0.63 (step @p82 :rule refl :args (tptp.s)) % 0.44/0.63 (step @p83 :rule ho_cong :premises (@p82 @p53)) % 0.44/0.63 (step @p84 :rule ho_cong :premises (@p83 @p52)) % 0.44/0.63 (step @p85 :rule cong :premises (@p84 @p55) :args ((= (_ @t133 @t81) @t128))) % 0.44/0.63 (step @p86 :rule symm :premises (@p85)) % 0.44/0.63 (step @p87 :rule refl :args (@t82)) % 0.44/0.63 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.44/0.63 (step @p89 :rule refl :args (@t39)) % 0.44/0.63 (step @p90 :rule cong :premises (@p89 @p53) :args ((= @t39 @t127))) % 0.44/0.63 (step @p91 :rule symm :premises (@p90)) % 0.44/0.63 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.44/0.63 (step @p93 :rule ho_cong :premises (@p82 @p92)) % 0.44/0.63 (step @p94 :rule ho_cong :premises (@p93 @p52)) % 0.44/0.63 (step @p95 :rule trans :premises (@p94 @p88)) % 0.44/0.63 (step @p96 :rule ho_cong :premises (@p75 @p45)) % 0.44/0.63 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.44/0.63 (step @p98 :rule trans :premises (@p97 @p81)) % 0.44/0.63 (step @p99 :rule ho_cong :premises (@p69 @p98)) % 0.44/0.63 (step @p100 :rule trans :premises (@p99 @p74)) % 0.44/0.63 (step @p101 :rule ho_cong :premises (@p63 @p100)) % 0.44/0.63 (step @p102 :rule trans :premises (@p101 @p68)) % 0.44/0.63 (step @p103 :rule nary_cong :premises (@p102 @p47) :args (@t101)) % 0.44/0.63 (step @p104 :rule refl :args ((tptp.j_mono_2Etyop_2Emin_2Ebool @t106))) % 0.44/0.63 (step @p105 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t105))) % 0.44/0.63 (step @p106 :rule refl :args ((tptp.c_2Ebool_2EIN_2E2 @t38 @t104))) % 0.44/0.63 (step @p107 :rule refl :args ((tptp.s @t39 @t103))) % 0.44/0.63 (step @p108 :rule refl :args ((tptp.c_2Epred__set_2EDELETE_2E2 @t82 @t94))) % 0.44/0.63 (step @p109 :rule cong :premises (@p55 @p36) :args (@t134)) % 0.44/0.63 (step @p110 :rule trans :premises (@p109 @p108)) % 0.44/0.63 (step @p111 :rule cong :premises (@p53 @p110) :args (@t135)) % 0.44/0.63 (step @p112 :rule trans :premises (@p111 @p107)) % 0.44/0.63 (step @p113 :rule cong :premises (@p41 @p112) :args (@t136)) % 0.44/0.63 (step @p114 :rule trans :premises (@p113 @p106)) % 0.44/0.63 (step @p115 :rule cong :premises (@p58 @p114) :args (@t137)) % 0.44/0.63 (step @p116 :rule trans :premises (@p115 @p105)) % 0.44/0.63 (step @p117 :rule cong :premises (@p116) :args (@t138)) % 0.44/0.63 (step @p118 :rule trans :premises (@p117 @p104)) % 0.44/0.63 (step @p119 :rule ho_cong :premises (@p63 @p116)) % 0.44/0.63 (step @p120 :rule cong :premises (@p119 @p118) :args ((= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t137) @t138))) % 0.44/0.63 (step @p121 :rule symm :premises (@p120)) % 0.44/0.63 (step @p122 :rule refl :args (@t107)) % 0.44/0.63 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.44/0.63 (step @p124 :rule ho_cong :premises (@p69 @p114)) % 0.44/0.63 (step @p125 :rule cong :premises (@p124 @p116) :args ((= (_ @t36 @t136) @t137))) % 0.44/0.63 (step @p126 :rule symm :premises (@p125)) % 0.44/0.63 (step @p127 :rule refl :args (@t106)) % 0.44/0.63 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.44/0.63 (step @p129 :rule ho_cong :premises (@p76 @p112)) % 0.44/0.63 (step @p130 :rule cong :premises (@p129 @p114) :args ((= (_ @t132 @t135) @t136))) % 0.44/0.63 (step @p131 :rule symm :premises (@p130)) % 0.44/0.63 (step @p132 :rule refl :args (@t105)) % 0.44/0.63 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.44/0.63 (step @p134 :rule ho_cong :premises (@p83 @p110)) % 0.44/0.63 (step @p135 :rule cong :premises (@p134 @p112) :args ((= (_ @t133 @t134) @t135))) % 0.44/0.63 (step @p136 :rule symm :premises (@p135)) % 0.44/0.63 (step @p137 :rule refl :args (@t104)) % 0.44/0.63 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.44/0.63 (step @p139 :rule refl :args (tptp.c_2Epred__set_2EDELETE_2E2)) % 0.44/0.63 (step @p140 :rule ho_cong :premises (@p139 @p55)) % 0.44/0.63 (step @p141 :rule ho_cong :premises (@p140 @p36)) % 0.44/0.63 (step @p142 :rule cong :premises (@p141 @p110) :args ((= (_ @t139 @t125) @t134))) % 0.44/0.63 (step @p143 :rule symm :premises (@p142)) % 0.44/0.63 (step @p144 :rule refl :args (@t103)) % 0.44/0.63 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.44/0.63 (step @p146 :rule ho_cong :premises (@p139 @p95)) % 0.44/0.63 (step @p147 :rule ho_cong :premises (@p146 @p40)) % 0.44/0.63 (step @p148 :rule trans :premises (@p147 @p145)) % 0.44/0.63 (step @p149 :rule ho_cong :premises (@p93 @p148)) % 0.44/0.63 (step @p150 :rule trans :premises (@p149 @p138)) % 0.44/0.63 (step @p151 :rule ho_cong :premises (@p96 @p150)) % 0.44/0.63 (step 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refl :args ((tptp.c_2Epred__set_2ECHOICE_2E1 @t82))) % 0.44/0.63 (step @p387 :rule cong :premises (@p55) :args (@t198)) % 0.44/0.63 (step @p388 :rule trans :premises (@p387 @p386)) % 0.44/0.63 (step @p389 :rule refl :args (@t3)) % 0.44/0.63 (step @p390 :rule cong :premises (@p389 @p388) :args (@t199)) % 0.44/0.63 (step @p391 :rule trans :premises (@p390 @p385)) % 0.44/0.63 (step @p392 :rule cong :premises (@p55 @p391) :args (@t200)) % 0.44/0.63 (step @p393 :rule trans :premises (@p392 @p384)) % 0.44/0.63 (step @p394 :rule cong :premises (@p53 @p393) :args (@t201)) % 0.44/0.63 (step @p395 :rule trans :premises (@p394 @p383)) % 0.44/0.63 (step @p396 :rule ho_cong :premises (@p83 @p393)) % 0.44/0.63 (step @p397 :rule cong :premises (@p396 @p395) :args ((= (_ @t133 @t200) @t201))) % 0.44/0.63 (step @p398 :rule symm :premises (@p397)) % 0.44/0.63 (step @p399 :rule refl :args (@t114)) % 0.44/0.63 (step @p400 :rule eq_resolve :premises (@p399 @p398)) % 0.44/0.63 (step @p401 :rule ho_cong :premises (@p140 @p391)) % 0.44/0.63 (step @p402 :rule cong :premises (@p401 @p393) :args ((= (_ @t139 @t199) @t200))) % 0.44/0.63 (step @p403 :rule symm :premises (@p402)) % 0.44/0.63 (step @p404 :rule refl :args (@t113)) % 0.44/0.63 (step @p405 :rule eq_resolve :premises (@p404 @p403)) % 0.44/0.63 (step @p406 :rule refl :args (@t11)) % 0.44/0.63 (step @p407 :rule ho_cong :premises (@p406 @p388)) % 0.44/0.63 (step @p408 :rule cong :premises (@p407 @p391) :args ((= (_ @t11 @t198) @t199))) % 0.44/0.63 (step @p409 :rule symm :premises (@p408)) % 0.44/0.63 (step @p410 :rule refl :args (@t112)) % 0.44/0.63 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 0.44/0.63 (step @p412 :rule refl :args (tptp.c_2Epred__set_2ECHOICE_2E1)) % 0.44/0.63 (step @p413 :rule ho_cong :premises (@p412 @p55)) % 0.44/0.63 (step @p414 :rule cong :premises (@p413 @p388) :args ((= (_ tptp.c_2Epred__set_2ECHOICE_2E1 @t128) @t198))) % 0.44/0.63 (step @p415 :rule symm :premises (@p414)) % 0.44/0.63 (step @p416 :rule refl :args (@t111)) % 0.44/0.63 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 0.44/0.63 (step @p418 :rule ho_cong :premises (@p412 @p95)) % 0.44/0.63 (step @p419 :rule trans :premises (@p418 @p417)) % 0.44/0.63 (step @p420 :rule ho_cong :premises (@p406 @p419)) % 0.44/0.63 (step @p421 :rule trans :premises (@p420 @p411)) % 0.44/0.63 (step @p422 :rule ho_cong :premises (@p146 @p421)) % 0.44/0.63 (step @p423 :rule trans :premises (@p422 @p405)) % 0.44/0.63 (step @p424 :rule ho_cong :premises (@p93 @p423)) % 0.44/0.63 (step @p425 :rule trans :premises (@p424 @p400)) % 0.44/0.63 (step @p426 :rule cong :premises (@p358 @p425) :args (@t117)) % 0.44/0.63 (step @p427 :rule cong :premises (@p426) :args (@t119)) % 0.44/0.63 (step @p428 :rule eq_resolve :premises (@p32 @p427)) % 0.44/0.63 (step @p429 :rule instantiate :premises (@p428) :args ((@list @t147 @t146))) % 0.44/0.63 (step @p430 :rule refl :args (@t155)) % 0.44/0.63 (step @p431 :rule cong :premises (@p430 @p429) :args (@t189)) % 0.44/0.63 (step @p432 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.44/0.63 (step @p433 :rule cong :premises (@p432 @p431) :args (@t190)) % 0.44/0.63 (step @p434 :rule cong :premises (@p433) :args (@t191)) % 0.44/0.63 (step @p435 :rule bool-double-not-elim :args (@t191)) % 0.44/0.63 (step @p436 :rule refl :args (@t193)) % 0.44/0.63 (step @p437 :rule nary_cong :premises (@p436 @p435) :args ((or @t193 (not @t192)))) % 0.44/0.63 (step @p438 :rule cnf_or_neg :args (@t193 0)) % 0.44/0.63 (step @p439 :rule eq_resolve :premises (@p438 @p437)) % 0.44/0.63 (step @p440 :rule reordering :premises (@p439) :args ((or @t191 @t193))) % 0.44/0.63 (step @p441 :rule chain_m_resolution :premises (@p440 @p373) :args (@t191 @t194 @t195)) % 0.44/0.63 (step @p442 :rule true_intro :premises (@p441)) % 0.44/0.63 (step @p443 :rule symm :premises (@p442)) % 0.44/0.63 (step @p444 :rule trans :premises (@p443 @p434 @p382)) % 0.44/0.63 (step @p445 false :rule eq_resolve :premises (@p444 @p35)) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------