%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP628+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:21:04 AM UTC 2026 % Result : Theorem 0.62s 0.88s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP628+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:27:52 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.88 % SZS status Theorem % 0.62/0.88 % SZS output start Proof % 0.62/0.88 ( % 0.62/0.88 (declare-sort $$unsorted 0) % 0.62/0.88 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.62/0.88 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k3_autgroup (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k4_autgroup (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k2_funct_1 (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k3_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.k5_autgroup (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k2_autgroup (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v1_group_3 (-> $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.62/0.88 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.88 (declare-const tptp.k1_autgroup (-> $$unsorted $$unsorted)) % 0.62/0.88 (define @t1 () (@var "C" $$unsorted)) % 0.62/0.88 (define @t2 () (@var "A" $$unsorted)) % 0.62/0.88 (define @t3 () (tptp.k5_autgroup @t2)) % 0.62/0.88 (define @t4 () (@var "B" $$unsorted)) % 0.62/0.88 (define @t5 () (tptp.k2_funct_1 @t4)) % 0.62/0.88 (define @t6 () (= @t5 (tptp.k3_group_1 @t3 @t1))) % 0.62/0.88 (define @t7 () (= @t4 @t1)) % 0.62/0.88 (define @t8 () (=> @t7 @t6)) % 0.62/0.88 (define @t9 () (tptp.u1_struct_0 @t3)) % 0.62/0.88 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 0.62/0.88 (define @t11 () (@list @t1)) % 0.62/0.88 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.62/0.88 (define @t13 () (tptp.k4_autgroup @t2)) % 0.62/0.88 (define @t14 () (tptp.u1_struct_0 @t2)) % 0.62/0.88 (define @t15 () (tptp.m2_fraenkel @t4 @t14 @t14 @t13)) % 0.62/0.88 (define @t16 () (=> @t15 @t12)) % 0.62/0.88 (define @t17 () (@list @t4)) % 0.62/0.88 (define @t18 () (forall @t17 @t16)) % 0.62/0.88 (define @t19 () (tptp.l1_group_1 @t2)) % 0.62/0.88 (define @t20 () (tptp.v4_group_1 @t2)) % 0.62/0.88 (define @t21 () (tptp.v3_group_1 @t2)) % 0.62/0.88 (define @t22 () (tptp.v1_group_1 @t2)) % 0.62/0.88 (define @t23 () (tptp.v3_struct_0 @t2)) % 0.62/0.88 (define @t24 () (not @t23)) % 0.62/0.88 (define @t25 () (and @t24 @t22 @t21 @t20 @t19)) % 0.62/0.88 (define @t26 () (=> @t25 @t18)) % 0.62/0.88 (define @t27 () (@list @t2)) % 0.62/0.88 (define @t28 () (forall @t27 @t26)) % 0.62/0.88 (define @t29 () (not @t28)) % 0.62/0.88 (define @t30 () (tptp.u1_group_1 @t2)) % 0.62/0.88 (define @t31 () (tptp.r2_hidden @t2 @t4)) % 0.62/0.88 (define @t32 () (@list @t2 @t4)) % 0.62/0.88 (define @t33 () (tptp.v1_funct_1 @t4)) % 0.62/0.88 (define @t34 () (tptp.m1_subset_1 @t4 @t2)) % 0.62/0.88 (define @t35 () (tptp.v1_fraenkel @t2)) % 0.62/0.88 (define @t36 () (tptp.v1_funct_1 @t2)) % 0.62/0.88 (define @t37 () (tptp.v1_xboole_0 @t2)) % 0.62/0.88 (define @t38 () (tptp.v1_funct_2 @t1 @t2 @t4)) % 0.62/0.88 (define @t39 () (tptp.v1_funct_1 @t1)) % 0.62/0.88 (define @t40 () (and @t39 @t38)) % 0.62/0.88 (define @t41 () (tptp.v1_partfun1 @t1 @t2 @t4)) % 0.62/0.88 (define @t42 () (tptp.m1_relset_1 @t1 @t2 @t4)) % 0.62/0.88 (define @t43 () (@list @t2 @t4 @t1)) % 0.62/0.88 (define @t44 () (tptp.v2_group_1 @t2)) % 0.62/0.88 (define @t45 () (tptp.v4_group_1 @t4)) % 0.62/0.88 (define @t46 () (tptp.m1_group_2 @t4 @t2)) % 0.62/0.88 (define @t47 () (and @t24 @t21 @t20 @t19)) % 0.62/0.88 (define @t48 () (tptp.v1_relat_1 @t1)) % 0.62/0.88 (define @t49 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t2 @t4)))) % 0.62/0.88 (define @t50 () (tptp.v2_funct_1 @t2)) % 0.62/0.88 (define @t51 () (tptp.v1_relat_1 @t2)) % 0.62/0.88 (define @t52 () (and @t51 @t36 @t50)) % 0.62/0.88 (define @t53 () (and @t51 @t37 @t36)) % 0.62/0.88 (define @t54 () (tptp.v1_xboole_0 @t4)) % 0.62/0.88 (define @t55 () (not @t54)) % 0.62/0.88 (define @t56 () (tptp.v1_xboole_0 @t1)) % 0.62/0.88 (define @t57 () (not @t56)) % 0.62/0.88 (define @t58 () (not @t37)) % 0.62/0.88 (define @t59 () (tptp.k2_autgroup @t2)) % 0.62/0.88 (define @t60 () (tptp.k1_autgroup @t2)) % 0.62/0.88 (define @t61 () (tptp.k3_autgroup @t2)) % 0.62/0.88 (define @t62 () (tptp.g1_group_1 @t2 @t4)) % 0.62/0.88 (define @t63 () (tptp.v1_group_1 @t62)) % 0.62/0.88 (define @t64 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.62/0.88 (define @t65 () (tptp.m1_relset_1 @t4 @t64 @t2)) % 0.62/0.88 (define @t66 () (tptp.v1_funct_2 @t4 @t64 @t2)) % 0.62/0.88 (define @t67 () (and @t33 @t66 @t65)) % 0.62/0.88 (define @t68 () (tptp.k2_zfmisc_1 @t60 @t60)) % 0.62/0.88 (define @t69 () (tptp.k2_funct_1 @t2)) % 0.62/0.88 (define @t70 () (and @t51 @t36)) % 0.62/0.88 (define @t71 () (and (not (tptp.v3_struct_0 @t61)) (tptp.v1_group_1 @t61) (tptp.v3_group_1 @t61) (tptp.v4_group_1 @t61) (tptp.l1_group_1 @t61))) % 0.62/0.88 (define @t72 () (forall @t27 (=> @t25 @t71))) % 0.62/0.88 (define @t73 () (tptp.k3_group_1 @t2 @t4)) % 0.62/0.88 (define @t74 () (tptp.m1_subset_1 @t4 @t14)) % 0.62/0.88 (define @t75 () (and (tptp.v1_group_1 @t3) (tptp.v1_group_3 @t3 @t61) (tptp.m1_group_2 @t3 @t61))) % 0.62/0.88 (define @t76 () (forall @t27 (=> @t25 @t75))) % 0.62/0.88 (define @t77 () (tptp.l1_struct_0 @t2)) % 0.62/0.88 (define @t78 () (tptp.m1_fraenkel @t1 @t2 @t4)) % 0.62/0.88 (define @t79 () (tptp.v3_group_1 @t4)) % 0.62/0.88 (define @t80 () (not (tptp.v3_struct_0 @t4))) % 0.62/0.88 (define @t81 () (and @t24 @t21 @t19)) % 0.62/0.88 (define @t82 () (@var "D" $$unsorted)) % 0.62/0.88 (define @t83 () (tptp.m2_fraenkel @t82 @t2 @t4 @t1)) % 0.62/0.88 (define @t84 () (@list @t82)) % 0.62/0.88 (define @t85 () (and @t55 @t78)) % 0.62/0.88 (define @t86 () (tptp.m2_relset_1 @t1 @t2 @t4)) % 0.62/0.88 (define @t87 () (tptp.k2_zfmisc_1 @t14 @t14)) % 0.62/0.88 (define @t88 () (and @t24 @t77)) % 0.62/0.88 (define @t89 () (= @t4 @t82)) % 0.62/0.88 (define @t90 () (tptp.v2_group_1 @t4)) % 0.62/0.88 (define @t91 () (tptp.v1_group_1 @t4)) % 0.62/0.88 (define @t92 () (= @t5 (tptp.k3_group_1 @t61 @t1))) % 0.62/0.88 (define @t93 () (=> @t7 @t92)) % 0.62/0.88 (define @t94 () (tptp.u1_struct_0 @t61)) % 0.62/0.88 (define @t95 () (tptp.m1_subset_1 @t1 @t94)) % 0.62/0.88 (define @t96 () (forall @t11 (=> @t95 @t93))) % 0.62/0.88 (define @t97 () (tptp.m2_fraenkel @t4 @t14 @t14 @t60)) % 0.62/0.88 (define @t98 () (=> @t97 @t96)) % 0.62/0.88 (define @t99 () (forall @t17 @t98)) % 0.62/0.88 (define @t100 () (=> @t25 @t99)) % 0.62/0.88 (define @t101 () (forall @t27 @t100)) % 0.62/0.88 (define @t102 () (forall @t17 (=> @t15 @t97))) % 0.62/0.88 (define @t103 () (=> @t25 @t102)) % 0.62/0.88 (define @t104 () (forall @t27 @t103)) % 0.62/0.88 (define @t105 () (tptp.m1_subset_1 @t2 @t4)) % 0.62/0.88 (define @t106 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1))) % 0.62/0.88 (define @t107 () (tptp.m1_subset_1 @t1 @t14)) % 0.62/0.88 (define @t108 () (tptp.u1_struct_0 @t4)) % 0.62/0.88 (define @t109 () (tptp.m1_subset_1 @t1 @t108)) % 0.62/0.88 (define @t110 () (forall @t11 (=> @t109 @t107))) % 0.62/0.88 (define @t111 () (=> @t46 @t110)) % 0.62/0.88 (define @t112 () (forall @t17 @t111)) % 0.62/0.88 (define @t113 () (=> @t81 @t112)) % 0.62/0.88 (define @t114 () (forall @t27 @t113)) % 0.62/0.88 (define @t115 () (tptp.k3_group_1 @t1 @t82)) % 0.62/0.88 (define @t116 () (= @t82 @t4)) % 0.62/0.88 (define @t117 () (=> @t116 (= @t115 @t73))) % 0.62/0.88 (define @t118 () (tptp.u1_struct_0 @t1)) % 0.62/0.88 (define @t119 () (tptp.m1_subset_1 @t82 @t118)) % 0.62/0.88 (define @t120 () (=> @t119 @t117)) % 0.62/0.88 (define @t121 () (forall @t84 @t120)) % 0.62/0.88 (define @t122 () (tptp.m1_group_2 @t1 @t2)) % 0.62/0.88 (define @t123 () (=> @t122 @t121)) % 0.62/0.88 (define @t124 () (forall @t11 @t123)) % 0.62/0.88 (define @t125 () (=> @t74 @t124)) % 0.62/0.88 (define @t126 () (forall @t17 @t125)) % 0.62/0.88 (define @t127 () (=> @t47 @t126)) % 0.62/0.88 (define @t128 () (forall @t27 @t127)) % 0.62/0.88 (define @t129 () (@var "BOUND_VARIABLE_8457" $$unsorted)) % 0.62/0.88 (define @t130 () (@var "BOUND_VARIABLE_8459" $$unsorted)) % 0.62/0.88 (define @t131 () (= (tptp.k3_group_1 @t2 @t129) (tptp.k3_group_1 @t130 @t129))) % 0.62/0.88 (define @t132 () (not (tptp.m1_subset_1 @t129 (tptp.u1_struct_0 @t130)))) % 0.62/0.88 (define @t133 () (not (tptp.m1_group_2 @t130 @t2))) % 0.62/0.88 (define @t134 () (not (tptp.m1_subset_1 @t129 @t14))) % 0.62/0.88 (define @t135 () (not @t19)) % 0.62/0.88 (define @t136 () (not @t20)) % 0.62/0.88 (define @t137 () (not @t21)) % 0.62/0.88 (define @t138 () (or @t23 @t137 @t136 @t135 @t134 @t133 @t132 @t131)) % 0.62/0.88 (define @t139 () (or @t134 @t133 @t132 @t131)) % 0.62/0.88 (define @t140 () (or @t23 @t137 @t136 @t135 @t139)) % 0.62/0.88 (define @t141 () (@list @t2 @t129 @t130)) % 0.62/0.88 (define @t142 () (forall @t141 @t140)) % 0.62/0.88 (define @t143 () (@list @t129 @t130)) % 0.62/0.88 (define @t144 () (forall @t143 @t140)) % 0.62/0.88 (define @t145 () (forall @t143 @t139)) % 0.62/0.88 (define @t146 () (@var "BOUND_VARIABLE_8438" $$unsorted)) % 0.62/0.88 (define @t147 () (or @t23 @t137 @t136 @t135 @t145)) % 0.62/0.88 (define @t148 () (= @t73 (tptp.k3_group_1 @t146 @t4))) % 0.62/0.88 (define @t149 () (not (tptp.m1_subset_1 @t4 (tptp.u1_struct_0 @t146)))) % 0.62/0.88 (define @t150 () (not (tptp.m1_group_2 @t146 @t2))) % 0.62/0.88 (define @t151 () (not @t74)) % 0.62/0.88 (define @t152 () (or @t151 @t150 @t149 @t148)) % 0.62/0.88 (define @t153 () (@list @t4 @t146)) % 0.62/0.88 (define @t154 () (forall @t153 @t152)) % 0.62/0.88 (define @t155 () (or @t23 @t137 @t136 @t135 @t154)) % 0.62/0.88 (define @t156 () (not @t24)) % 0.62/0.88 (define @t157 () (or @t156 @t137 @t136 @t135)) % 0.62/0.88 (define @t158 () (or @t137 (or @t136 @t135))) % 0.62/0.88 (define @t159 () (not (and @t21 @t20 @t19))) % 0.62/0.88 (define @t160 () (or @t150 @t149 @t148)) % 0.62/0.88 (define @t161 () (or @t151 @t160)) % 0.62/0.88 (define @t162 () (forall @t153 @t161)) % 0.62/0.88 (define @t163 () (@list @t146)) % 0.62/0.88 (define @t164 () (forall @t163 @t161)) % 0.62/0.88 (define @t165 () (forall @t163 @t160)) % 0.62/0.88 (define @t166 () (@list @t1)) % 0.62/0.88 (define @t167 () (or @t151 @t165)) % 0.62/0.88 (define @t168 () (= @t73 (tptp.k3_group_1 @t1 @t4))) % 0.62/0.88 (define @t169 () (not (tptp.m1_subset_1 @t4 @t118))) % 0.62/0.88 (define @t170 () (not @t122)) % 0.62/0.88 (define @t171 () (or @t170 @t169 @t168)) % 0.62/0.88 (define @t172 () (forall @t11 @t171)) % 0.62/0.88 (define @t173 () (or @t169 @t168)) % 0.62/0.88 (define @t174 () (not (= @t4 @t4))) % 0.62/0.88 (define @t175 () (or @t169 @t174 @t168)) % 0.62/0.88 (define @t176 () (= @t73 @t115)) % 0.62/0.88 (define @t177 () (not @t89)) % 0.62/0.88 (define @t178 () (not @t119)) % 0.62/0.88 (define @t179 () (or @t177 @t178 @t177 @t176)) % 0.62/0.88 (define @t180 () (or @t178 @t177 @t176)) % 0.62/0.88 (define @t181 () (=> @t89 @t176)) % 0.62/0.88 (define @t182 () (@var "BOUND_VARIABLE_7843" $$unsorted)) % 0.62/0.88 (define @t183 () (= (tptp.k2_funct_1 @t182) (tptp.k3_group_1 @t3 @t182))) % 0.62/0.88 (define @t184 () (not (tptp.m1_subset_1 @t182 @t9))) % 0.62/0.88 (define @t185 () (not (tptp.m2_fraenkel @t182 @t14 @t14 @t13))) % 0.62/0.88 (define @t186 () (not @t22)) % 0.62/0.88 (define @t187 () (or @t23 @t186 @t137 @t136 @t135 @t185 @t184 @t183)) % 0.62/0.88 (define @t188 () (@list @t2 @t182)) % 0.62/0.88 (define @t189 () (forall @t188 @t187)) % 0.62/0.88 (define @t190 () (@quantifiers_skolemize @t189 1)) % 0.62/0.88 (define @t191 () (@quantifiers_skolemize @t189 0)) % 0.62/0.88 (define @t192 () (tptp.k3_autgroup @t191)) % 0.62/0.88 (define @t193 () (tptp.k3_group_1 @t192 @t190)) % 0.62/0.88 (define @t194 () (tptp.k5_autgroup @t191)) % 0.62/0.88 (define @t195 () (tptp.k3_group_1 @t194 @t190)) % 0.62/0.88 (define @t196 () (tptp.m1_subset_1 @t190 (tptp.u1_struct_0 @t194))) % 0.62/0.88 (define @t197 () (not @t196)) % 0.62/0.88 (define @t198 () (tptp.m1_group_2 @t194 @t192)) % 0.62/0.88 (define @t199 () (not @t198)) % 0.62/0.88 (define @t200 () (tptp.m1_subset_1 @t190 (tptp.u1_struct_0 @t192))) % 0.62/0.88 (define @t201 () (not @t200)) % 0.62/0.88 (define @t202 () (tptp.l1_group_1 @t192)) % 0.62/0.88 (define @t203 () (not @t202)) % 0.62/0.88 (define @t204 () (tptp.v4_group_1 @t192)) % 0.62/0.88 (define @t205 () (not @t204)) % 0.62/0.88 (define @t206 () (tptp.v3_group_1 @t192)) % 0.62/0.88 (define @t207 () (not @t206)) % 0.62/0.88 (define @t208 () (tptp.v3_struct_0 @t192)) % 0.62/0.88 (define @t209 () (or @t208 @t207 @t205 @t203 @t201 @t199 @t197 (= @t193 @t195))) % 0.62/0.88 (define @t210 () (forall @t141 @t138)) % 0.62/0.88 (define @t211 () (= @t195 @t193)) % 0.62/0.88 (define @t212 () (or @t208 @t207 @t205 @t203 @t201 @t199 @t197 @t211)) % 0.62/0.88 (define @t213 () (@list false)) % 0.62/0.88 (define @t214 () (@var "BOUND_VARIABLE_8398" $$unsorted)) % 0.62/0.88 (define @t215 () (tptp.m1_subset_1 @t214 @t14)) % 0.62/0.88 (define @t216 () (@var "BOUND_VARIABLE_8396" $$unsorted)) % 0.62/0.88 (define @t217 () (not (tptp.m1_subset_1 @t214 (tptp.u1_struct_0 @t216)))) % 0.62/0.88 (define @t218 () (not (tptp.m1_group_2 @t216 @t2))) % 0.62/0.88 (define @t219 () (or @t218 @t217 @t215)) % 0.62/0.88 (define @t220 () (or @t23 @t137 @t135 @t219)) % 0.62/0.88 (define @t221 () (forall (@list @t2 @t216 @t214) @t220)) % 0.62/0.88 (define @t222 () (@list @t216 @t214)) % 0.62/0.88 (define @t223 () (forall @t222 @t220)) % 0.62/0.88 (define @t224 () (forall @t222 @t219)) % 0.62/0.88 (define @t225 () (@var "BOUND_VARIABLE_8381" $$unsorted)) % 0.62/0.88 (define @t226 () (or @t23 @t137 @t135 @t224)) % 0.62/0.88 (define @t227 () (tptp.m1_subset_1 @t225 @t14)) % 0.62/0.88 (define @t228 () (not (tptp.m1_subset_1 @t225 @t108))) % 0.62/0.88 (define @t229 () (not @t46)) % 0.62/0.88 (define @t230 () (or @t229 @t228 @t227)) % 0.62/0.88 (define @t231 () (@list @t4 @t225)) % 0.62/0.88 (define @t232 () (forall @t231 @t230)) % 0.62/0.88 (define @t233 () (or @t23 @t137 @t135 @t232)) % 0.62/0.88 (define @t234 () (or @t156 @t137 @t135)) % 0.62/0.88 (define @t235 () (or @t228 @t227)) % 0.62/0.88 (define @t236 () (or @t229 @t235)) % 0.62/0.88 (define @t237 () (forall @t231 @t236)) % 0.62/0.88 (define @t238 () (@list @t225)) % 0.62/0.88 (define @t239 () (forall @t238 @t236)) % 0.62/0.88 (define @t240 () (forall @t238 @t235)) % 0.62/0.88 (define @t241 () (or @t229 @t240)) % 0.62/0.88 (define @t242 () (forall @t11 (or (not @t109) @t107))) % 0.62/0.88 (define @t243 () (or @t23 @t186 @t137 @t136 @t135)) % 0.62/0.88 (define @t244 () (or @t156 @t186 @t137 @t136 @t135)) % 0.62/0.88 (define @t245 () (not @t25)) % 0.62/0.88 (define @t246 () (@list @t191)) % 0.62/0.88 (define @t247 () (or @t185 @t184 @t183)) % 0.62/0.88 (define @t248 () (or @t23 @t186 @t137 @t136 @t135 @t247)) % 0.62/0.88 (define @t249 () (forall @t188 @t248)) % 0.62/0.88 (define @t250 () (@list @t182)) % 0.62/0.88 (define @t251 () (forall @t250 @t248)) % 0.62/0.88 (define @t252 () (forall @t250 @t247)) % 0.62/0.88 (define @t253 () (@list @t4)) % 0.62/0.88 (define @t254 () (or @t23 @t186 @t137 @t136 @t135 @t252)) % 0.62/0.88 (define @t255 () (= @t5 (tptp.k3_group_1 @t3 @t4))) % 0.62/0.88 (define @t256 () (not (tptp.m1_subset_1 @t4 @t9))) % 0.62/0.88 (define @t257 () (not @t15)) % 0.62/0.88 (define @t258 () (or @t257 @t256 @t255)) % 0.62/0.88 (define @t259 () (forall @t17 @t258)) % 0.62/0.88 (define @t260 () (or @t23 @t186 @t137 @t136 @t135 @t259)) % 0.62/0.88 (define @t261 () (or @t256 @t255)) % 0.62/0.88 (define @t262 () (or @t256 @t174 @t255)) % 0.62/0.88 (define @t263 () (not @t7)) % 0.62/0.88 (define @t264 () (not @t10)) % 0.62/0.88 (define @t265 () (not (= @t1 @t4))) % 0.62/0.88 (define @t266 () (or @t263 @t264 @t263 @t6)) % 0.62/0.88 (define @t267 () (or @t264 @t263 @t6)) % 0.62/0.88 (define @t268 () (tptp.l1_group_1 @t191)) % 0.62/0.88 (define @t269 () (tptp.k2_funct_1 @t190)) % 0.62/0.88 (define @t270 () (= @t269 @t195)) % 0.62/0.88 (define @t271 () (tptp.u1_struct_0 @t191)) % 0.62/0.88 (define @t272 () (tptp.m2_fraenkel @t190 @t271 @t271 (tptp.k4_autgroup @t191))) % 0.62/0.88 (define @t273 () (not @t272)) % 0.62/0.88 (define @t274 () (not @t268)) % 0.62/0.88 (define @t275 () (tptp.v4_group_1 @t191)) % 0.62/0.88 (define @t276 () (not @t275)) % 0.62/0.88 (define @t277 () (tptp.v3_group_1 @t191)) % 0.62/0.88 (define @t278 () (not @t277)) % 0.62/0.88 (define @t279 () (tptp.v1_group_1 @t191)) % 0.62/0.88 (define @t280 () (not @t279)) % 0.62/0.88 (define @t281 () (tptp.v3_struct_0 @t191)) % 0.62/0.88 (define @t282 () (or @t281 @t280 @t278 @t276 @t274 @t273 @t197 @t270)) % 0.62/0.88 (define @t283 () (@list true)) % 0.62/0.88 (define @t284 () (@list @t282)) % 0.62/0.88 (define @t285 () (not @t208)) % 0.62/0.88 (define @t286 () (and @t285 (tptp.v1_group_1 @t192) @t206 @t204 @t202)) % 0.62/0.88 (define @t287 () (or @t281 @t280 @t278 @t276 @t274 @t286)) % 0.62/0.88 (define @t288 () (@list true false false false false false)) % 0.62/0.88 (define @t289 () (not @t286)) % 0.62/0.88 (define @t290 () (@list @t286)) % 0.62/0.88 (define @t291 () (and (tptp.v1_group_1 @t194) (tptp.v1_group_3 @t194 @t192) @t198)) % 0.62/0.88 (define @t292 () (or @t281 @t280 @t278 @t276 @t274 @t291)) % 0.62/0.88 (define @t293 () (or @t208 @t207 @t203 @t199 @t197 @t200)) % 0.62/0.88 (define @t294 () (@var "BOUND_VARIABLE_8327" $$unsorted)) % 0.62/0.88 (define @t295 () (= (tptp.k2_funct_1 @t294) (tptp.k3_group_1 @t61 @t294))) % 0.62/0.88 (define @t296 () (not (tptp.m1_subset_1 @t294 @t94))) % 0.62/0.88 (define @t297 () (not (tptp.m2_fraenkel @t294 @t14 @t14 @t60))) % 0.62/0.88 (define @t298 () (or @t297 @t296 @t295)) % 0.62/0.88 (define @t299 () (or @t23 @t186 @t137 @t136 @t135 @t298)) % 0.62/0.88 (define @t300 () (forall (@list @t2 @t294) @t299)) % 0.62/0.88 (define @t301 () (@list @t294)) % 0.62/0.88 (define @t302 () (forall @t301 @t299)) % 0.62/0.88 (define @t303 () (forall @t301 @t298)) % 0.62/0.88 (define @t304 () (or @t23 @t186 @t137 @t136 @t135 @t303)) % 0.62/0.88 (define @t305 () (= @t5 (tptp.k3_group_1 @t61 @t4))) % 0.62/0.88 (define @t306 () (not (tptp.m1_subset_1 @t4 @t94))) % 0.62/0.88 (define @t307 () (not @t97)) % 0.62/0.88 (define @t308 () (or @t307 @t306 @t305)) % 0.62/0.88 (define @t309 () (forall @t17 @t308)) % 0.62/0.88 (define @t310 () (or @t23 @t186 @t137 @t136 @t135 @t309)) % 0.62/0.88 (define @t311 () (or @t306 @t305)) % 0.62/0.88 (define @t312 () (or @t306 @t174 @t305)) % 0.62/0.88 (define @t313 () (not @t95)) % 0.62/0.88 (define @t314 () (or @t263 @t313 @t263 @t92)) % 0.62/0.88 (define @t315 () (or @t313 @t263 @t92)) % 0.62/0.88 (define @t316 () (@list @t191 @t190)) % 0.62/0.88 (define @t317 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 0.62/0.88 (define @t318 () (tptp.m2_fraenkel @t317 @t14 @t14 @t60)) % 0.62/0.88 (define @t319 () (not (tptp.m2_fraenkel @t317 @t14 @t14 @t13))) % 0.62/0.88 (define @t320 () (or @t319 @t318)) % 0.62/0.88 (define @t321 () (or @t23 @t186 @t137 @t136 @t135 @t320)) % 0.62/0.88 (define @t322 () (forall (@list @t2 @t317) @t321)) % 0.62/0.88 (define @t323 () (@list @t317)) % 0.62/0.88 (define @t324 () (forall @t323 @t321)) % 0.62/0.88 (define @t325 () (forall @t323 @t320)) % 0.62/0.88 (define @t326 () (or @t23 @t186 @t137 @t136 @t135 @t325)) % 0.62/0.88 (define @t327 () (forall @t17 (or @t257 @t97))) % 0.62/0.88 (define @t328 () (or @t23 @t186 @t137 @t136 @t135 @t327)) % 0.62/0.88 (define @t329 () (tptp.m2_fraenkel @t190 @t271 @t271 (tptp.k1_autgroup @t191))) % 0.62/0.88 (define @t330 () (or @t281 @t280 @t278 @t276 @t274 @t273 @t329)) % 0.62/0.88 (define @t331 () (= @t269 @t193)) % 0.62/0.88 (define @t332 () (not @t329)) % 0.62/0.88 (define @t333 () (or @t281 @t280 @t278 @t276 @t274 @t332 @t201 @t331)) % 0.62/0.88 (assume @p1 @t29) % 0.62/0.88 (assume @p2 (forall @t27 (=> @t19 (=> @t22 (= @t2 (tptp.g1_group_1 @t14 @t30)))))) % 0.62/0.88 (assume @p3 (forall @t32 (=> @t31 (not (tptp.r2_hidden @t4 @t2))))) % 0.62/0.88 (assume @p4 (forall @t27 (=> @t35 (forall @t17 (=> @t34 (and (tptp.v1_relat_1 @t4) @t33)))))) % 0.62/0.88 (assume @p5 (forall @t27 (=> @t37 @t36))) % 0.62/0.88 (assume @p6 (forall @t43 (=> @t42 (=> (and @t39 @t41) @t40)))) % 0.62/0.88 (assume @p7 (forall @t27 (=> @t19 (=> (and @t24 @t21) (and @t24 @t44))))) % 0.62/0.88 (assume @p8 (forall @t27 (=> @t47 (forall @t17 (=> @t46 @t45))))) % 0.62/0.88 (assume @p9 (forall @t43 (=> @t49 @t48))) % 0.62/0.88 (assume @p10 (forall @t27 (=> @t53 @t52))) % 0.62/0.88 (assume @p11 (forall @t32 (=> @t55 (forall @t11 (=> @t42 (=> @t40 (and @t39 @t41 @t38))))))) % 0.62/0.88 (assume @p12 (forall @t32 (=> (and @t58 @t55) (forall @t11 (=> @t42 (=> @t40 (and @t39 @t57 @t41 @t38))))))) % 0.62/0.88 (assume @p13 (forall @t27 (=> @t25 (= @t61 (tptp.g1_group_1 @t60 @t59))))) % 0.62/0.88 (assume @p14 (forall @t32 (=> @t67 (and @t63 (tptp.l1_group_1 @t62))))) % 0.62/0.88 (assume @p15 (forall @t27 (=> @t25 (tptp.m1_fraenkel @t60 @t14 @t14)))) % 0.62/0.88 (assume @p16 true) % 0.62/0.88 (assume @p17 (forall @t27 (=> @t25 (and (tptp.v1_funct_1 @t59) (tptp.v1_funct_2 @t59 @t68 @t60) (tptp.m2_relset_1 @t59 @t68 @t60))))) % 0.62/0.88 (assume @p18 (forall @t27 (=> @t70 (and (tptp.v1_relat_1 @t69) (tptp.v1_funct_1 @t69))))) % 0.62/0.88 (assume @p19 @t72) % 0.62/0.88 (assume @p20 (forall @t32 (=> (and @t24 @t21 @t20 @t19 @t74) (tptp.m1_subset_1 @t73 @t14)))) % 0.62/0.88 (assume @p21 (forall @t27 (=> @t25 (tptp.m1_fraenkel @t13 @t14 @t14)))) % 0.62/0.88 (assume @p22 @t76) % 0.62/0.88 (assume @p23 (forall @t27 (=> @t19 @t77))) % 0.62/0.88 (assume @p24 (forall @t43 (=> @t78 (and @t57 (tptp.v1_fraenkel @t1))))) % 0.62/0.88 (assume @p25 (forall @t27 (=> @t81 (forall @t17 (=> @t46 (and @t80 @t79 (tptp.l1_group_1 @t4))))))) % 0.62/0.88 (assume @p26 (forall @t43 (=> @t85 (forall @t84 (=> @t83 (and (tptp.v1_funct_1 @t82) (tptp.v1_funct_2 @t82 @t2 @t4) (tptp.m2_relset_1 @t82 @t2 @t4))))))) % 0.62/0.88 (assume @p27 (forall @t43 (=> @t86 @t49))) % 0.62/0.88 (assume @p28 (forall @t27 (=> @t19 (and (tptp.v1_funct_1 @t30) (tptp.v1_funct_2 @t30 @t87 @t14) (tptp.m2_relset_1 @t30 @t87 @t14))))) % 0.62/0.88 (assume @p29 (exists @t27 @t19)) % 0.62/0.88 (assume @p30 (exists @t27 @t77)) % 0.62/0.88 (assume @p31 (forall @t32 (exists @t11 @t78))) % 0.62/0.88 (assume @p32 (forall @t27 (=> @t81 (exists @t17 @t46)))) % 0.62/0.88 (assume @p33 (forall @t32 (exists @t11 @t42))) % 0.62/0.88 (assume @p34 (forall @t27 (exists @t17 @t34))) % 0.62/0.88 (assume @p35 (forall @t43 (=> @t85 (exists @t84 @t83)))) % 0.62/0.88 (assume @p36 (forall @t32 (exists @t11 @t86))) % 0.62/0.88 (assume @p37 (forall @t32 (=> (and @t58 @t33 @t66 @t65) (and (not (tptp.v3_struct_0 @t62)) @t63)))) % 0.62/0.88 (assume @p38 (forall @t27 (=> @t88 (not (tptp.v1_xboole_0 @t14))))) % 0.62/0.88 (assume @p39 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.62/0.88 (assume @p40 (forall @t32 (=> @t67 (forall (@list @t1 @t82) (=> (= @t62 (tptp.g1_group_1 @t1 @t82)) (and (= @t2 @t1) @t89)))))) % 0.62/0.88 (assume @p41 (exists @t27 (and @t58 @t35))) % 0.62/0.88 (assume @p42 (exists @t27 @t70)) % 0.62/0.88 (assume @p43 (forall @t32 (exists @t11 (and @t42 @t48 @t39 @t38)))) % 0.62/0.88 (assume @p44 (exists @t27 (and @t19 @t22))) % 0.62/0.88 (assume @p45 (forall @t27 (=> @t47 (exists @t17 (and @t46 @t80 @t91 @t90 @t79 @t45))))) % 0.62/0.88 (assume @p46 (forall @t27 (=> @t47 (exists @t17 (and @t46 @t80 @t91 @t90 @t79 @t45 (tptp.v1_group_3 @t4 @t2)))))) % 0.62/0.88 (assume @p47 (exists @t27 (and @t51 @t36 @t50 @t37))) % 0.62/0.88 (assume @p48 (exists @t27 @t37)) % 0.62/0.88 (assume @p49 (exists @t27 @t53)) % 0.62/0.88 (assume @p50 (exists @t27 (and @t19 @t24 @t22))) % 0.62/0.88 (assume @p51 (forall @t32 (exists @t11 (and @t42 @t48 @t39)))) % 0.62/0.88 (assume @p52 (exists @t27 @t58)) % 0.62/0.88 (assume @p53 (exists @t27 @t52)) % 0.62/0.88 (assume @p54 (exists @t27 (and @t19 @t24 @t22 @t44 @t21 @t20))) % 0.62/0.88 (assume @p55 (exists @t27 (and @t77 @t24))) % 0.62/0.88 (assume @p56 (forall @t27 (=> @t88 (exists @t17 (and (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t14)) @t55))))) % 0.62/0.88 (assume @p57 (forall @t43 (=> @t85 (forall @t84 (= @t83 (tptp.m1_subset_1 @t82 @t1)))))) % 0.62/0.88 (assume @p58 (forall @t43 (= @t86 @t42))) % 0.62/0.88 (assume @p59 (forall @t32 (tptp.r1_tarski @t2 @t2))) % 0.62/0.88 (assume @p60 @t101) % 0.62/0.88 (assume @p61 @t104) % 0.62/0.88 (assume @p62 (forall @t32 (=> @t31 @t105))) % 0.62/0.88 (assume @p63 (forall @t32 (=> @t105 (or @t54 @t31)))) % 0.62/0.88 (assume @p64 (forall @t32 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t2 @t4)))) % 0.62/0.88 (assume @p65 (forall @t43 (=> (and @t31 @t106) (tptp.m1_subset_1 @t2 @t1)))) % 0.62/0.88 (assume @p66 @t114) % 0.62/0.88 (assume @p67 @t128) % 0.62/0.88 (assume @p68 (forall @t43 (not (and @t31 @t106 @t56)))) % 0.62/0.88 (assume @p69 (forall @t27 (=> @t37 (= @t2 tptp.k1_xboole_0)))) % 0.62/0.88 (assume @p70 (forall @t32 (not (and @t31 @t54)))) % 0.62/0.88 (assume @p71 (forall @t32 (not (and @t37 (not (= @t2 @t4)) @t54)))) % 0.62/0.88 (step @p72 :rule evaluate :args ((= false true))) % 0.62/0.88 (step @p73 :rule aci_norm :args ((= @t140 @t138))) % 0.62/0.88 (step @p74 :rule cong :premises (@p73) :args (@t142)) % 0.62/0.88 (step @p75 :rule quant-merge-prenex :args ((= (forall @t27 @t144) @t142))) % 0.62/0.88 (step @p76 :rule alpha_equiv :args (@t145 (@list @t129 @t130) (@list @t4 @t146))) % 0.62/0.88 (step @p77 :rule refl :args (@t135)) % 0.62/0.88 (step @p78 :rule refl :args (@t136)) % 0.62/0.88 (step @p79 :rule refl :args (@t137)) % 0.62/0.88 (step @p80 :rule refl :args (@t23)) % 0.62/0.88 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76) :args (@t147)) % 0.62/0.88 (step @p82 :rule quant-miniscope-or :args ((= @t144 @t147))) % 0.62/0.88 (step @p83 :rule trans :premises (@p82 @p81)) % 0.62/0.88 (step @p84 :rule symm :premises (@p83)) % 0.62/0.88 (step @p85 :rule cong :premises (@p84) :args ((forall @t27 @t155))) % 0.62/0.88 (step @p86 :rule trans :premises (@p85 @p75)) % 0.62/0.88 (step @p87 :rule trans :premises (@p86 @p74)) % 0.62/0.88 (step @p88 :rule aci_norm :args ((= (or (or @t23 @t137 @t136 @t135) @t154) @t155))) % 0.62/0.88 (step @p89 :rule refl :args (@t154)) % 0.62/0.88 (step @p90 :rule bool-double-not-elim :args (@t23)) % 0.62/0.88 (step @p91 :rule nary_cong :premises (@p90 @p79 @p78 @p77) :args (@t157)) % 0.62/0.88 (step @p92 :rule aci_norm :args ((= (or @t156 @t158) @t157))) % 0.62/0.88 (step @p93 :rule trans :premises (@p92 @p91)) % 0.62/0.88 (step @p94 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.62/0.88 (step @p95 :rule nary_cong :premises (@p79 @p94) :args ((or @t137 (not (and @t20 @t19))))) % 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:premises (@p326)) % 0.62/0.88 (step @p328 :rule bool-double-not-elim :args (@t268)) % 0.62/0.88 (step @p329 :rule refl :args (@t282)) % 0.62/0.88 (step @p330 :rule nary_cong :premises (@p329 @p328) :args ((or @t282 (not @t274)))) % 0.62/0.88 (step @p331 :rule cnf_or_neg :args (@t282 4)) % 0.62/0.88 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 0.62/0.88 (step @p333 :rule reordering :premises (@p332) :args ((or @t268 @t282))) % 0.62/0.88 (step @p334 :rule chain_m_resolution :premises (@p333 @p327) :args (@t268 @t283 @t284)) % 0.62/0.88 (step @p335 :rule bool-double-not-elim :args (@t275)) % 0.62/0.88 (step @p336 :rule nary_cong :premises (@p329 @p335) :args ((or @t282 (not @t276)))) % 0.62/0.88 (step @p337 :rule cnf_or_neg :args (@t282 3)) % 0.62/0.88 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 0.62/0.88 (step @p339 :rule reordering :premises (@p338) :args ((or @t275 @t282))) % 0.62/0.88 (step @p340 :rule chain_m_resolution :premises (@p339 @p327) :args (@t275 @t283 @t284)) % 0.62/0.88 (step @p341 :rule bool-double-not-elim :args (@t277)) % 0.62/0.88 (step @p342 :rule nary_cong :premises (@p329 @p341) :args ((or @t282 (not @t278)))) % 0.62/0.88 (step @p343 :rule cnf_or_neg :args (@t282 2)) % 0.62/0.88 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.62/0.88 (step @p345 :rule reordering :premises (@p344) :args ((or @t277 @t282))) % 0.62/0.88 (step @p346 :rule chain_m_resolution :premises (@p345 @p327) :args (@t277 @t283 @t284)) % 0.62/0.88 (step @p347 :rule bool-double-not-elim :args (@t279)) % 0.62/0.88 (step @p348 :rule nary_cong :premises (@p329 @p347) :args ((or @t282 (not @t280)))) % 0.62/0.88 (step @p349 :rule cnf_or_neg :args (@t282 1)) % 0.62/0.88 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 0.62/0.88 (step @p351 :rule reordering :premises (@p350) :args ((or @t279 @t282))) % 0.62/0.88 (step @p352 :rule chain_m_resolution :premises (@p351 @p327) :args (@t279 @t283 @t284)) % 0.62/0.88 (step @p353 :rule cnf_or_neg :args (@t282 0)) % 0.62/0.88 (step @p354 :rule chain_m_resolution :premises (@p353 @p327) :args ((not @t281) @t283 @t284)) % 0.62/0.88 (step @p355 :rule cnf_or_pos :args (@t287)) % 0.62/0.88 (step @p356 :rule reordering :premises (@p355) :args ((or @t281 @t280 @t278 @t276 @t274 @t286 (not @t287)))) % 0.62/0.88 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p352 @p346 @p340 @p334 @p268) :args (@t286 @t288 (@list @t281 @t279 @t277 @t275 @t268 @t287))) % 0.62/0.88 (step @p358 :rule cnf_and_pos :args (@t286 4)) % 0.62/0.88 (step @p359 :rule reordering :premises (@p358) :args ((or @t202 @t289))) % 0.62/0.88 (step @p360 :rule chain_m_resolution :premises (@p359 @p357) :args (@t202 @t213 @t290)) % 0.62/0.88 (step @p361 :rule cnf_and_pos :args (@t286 2)) % 0.62/0.88 (step @p362 :rule reordering :premises (@p361) :args ((or @t206 @t289))) % 0.62/0.88 (step @p363 :rule chain_m_resolution :premises (@p362 @p357) :args (@t206 @t213 @t290)) % 0.62/0.88 (step @p364 :rule cnf_and_pos :args (@t286 0)) % 0.62/0.88 (step @p365 :rule reordering :premises (@p364) :args ((or @t285 @t289))) % 0.62/0.88 (step @p366 :rule chain_m_resolution :premises (@p365 @p357) :args (@t285 @t213 @t290)) % 0.62/0.88 (step @p367 :rule aci_norm :args ((= (or @t243 @t75) (or @t23 @t186 @t137 @t136 @t135 @t75)))) % 0.62/0.88 (step @p368 :rule refl :args (@t75)) % 0.62/0.88 (step @p369 :rule nary_cong :premises (@p261 @p368) :args ((or @t245 @t75))) % 0.62/0.88 (step @p370 :rule trans :premises (@p369 @p367)) % 0.62/0.88 (step @p371 :rule bool-impl-elim :args (@t25 @t75)) % 0.62/0.88 (step @p372 :rule trans :premises (@p371 @p370)) % 0.62/0.88 (step @p373 :rule cong :premises (@p372) :args (@t76)) % 0.62/0.88 (step @p374 :rule eq_resolve :premises (@p22 @p373)) % 0.62/0.88 (step @p375 :rule instantiate :premises (@p374) :args (@t246)) % 0.62/0.88 (step @p376 :rule cnf_or_pos :args (@t292)) % 0.62/0.88 (step @p377 :rule reordering :premises (@p376) :args ((or @t281 @t280 @t278 @t276 @t274 @t291 (not @t292)))) % 0.62/0.88 (step @p378 :rule chain_m_resolution :premises (@p377 @p354 @p352 @p346 @p340 @p334 @p375) :args (@t291 @t288 (@list @t281 @t279 @t277 @t275 @t268 @t292))) % 0.62/0.88 (step @p379 :rule cnf_and_pos :args (@t291 2)) % 0.62/0.88 (step @p380 :rule reordering :premises (@p379) :args ((or @t198 (not @t291)))) % 0.62/0.88 (step @p381 :rule chain_m_resolution :premises (@p380 @p378) :args (@t198 @t213 (@list @t291))) % 0.62/0.88 (step @p382 :rule bool-double-not-elim :args (@t196)) % 0.62/0.88 (step @p383 :rule nary_cong :premises (@p329 @p382) :args ((or @t282 (not @t197)))) % 0.62/0.88 (step @p384 :rule cnf_or_neg :args (@t282 6)) % 0.62/0.88 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 0.62/0.88 (step @p386 :rule reordering :premises (@p385) :args ((or @t196 @t282))) % 0.62/0.88 (step @p387 :rule chain_m_resolution :premises (@p386 @p327) :args (@t196 @t283 @t284)) % 0.62/0.88 (step @p388 :rule cnf_or_pos :args (@t293)) % 0.62/0.88 (step @p389 :rule reordering :premises (@p388) :args ((or @t197 @t199 @t208 @t207 @t203 @t200 (not @t293)))) % 0.62/0.88 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p381 @p366 @p363 @p360 @p248) :args (@t200 (@list false false true false false false) (@list @t196 @t198 @t208 @t206 @t202 @t293))) % 0.62/0.88 (step @p391 :rule cnf_and_pos :args (@t286 3)) % 0.62/0.88 (step @p392 :rule reordering :premises (@p391) :args ((or @t204 @t289))) % 0.62/0.88 (step @p393 :rule chain_m_resolution :premises (@p392 @p357) :args (@t204 @t213 @t290)) % 0.62/0.88 (step @p394 :rule cnf_or_pos :args (@t212)) % 0.62/0.88 (step @p395 :rule reordering :premises (@p394) :args ((or @t197 @t199 @t208 @t207 @t205 @t203 @t201 @t211 (not @t212)))) % 0.62/0.88 (step @p396 :rule chain_m_resolution :premises (@p395 @p387 @p381 @p366 @p363 @p393 @p360 @p390 @p194) :args (@t211 (@list false false true false false false false false) (@list @t196 @t198 @t208 @t206 @t204 @t202 @t200 @t212))) % 0.62/0.88 (step @p397 :rule symm :premises (@p396)) % 0.62/0.88 (step @p398 :rule aci_norm :args ((= @t299 (or @t23 @t186 @t137 @t136 @t135 @t297 @t296 @t295)))) % 0.62/0.88 (step @p399 :rule cong :premises (@p398) :args (@t300)) % 0.62/0.88 (step @p400 :rule quant-merge-prenex :args ((= (forall @t27 @t302) @t300))) % 0.62/0.88 (step @p401 :rule alpha_equiv :args (@t303 (@list @t294) @t253)) % 0.62/0.88 (step @p402 :rule nary_cong :premises (@p80 @p251 @p79 @p78 @p77 @p401) :args (@t304)) % 0.62/0.88 (step @p403 :rule quant-miniscope-or :args ((= @t302 @t304))) % 0.62/0.88 (step @p404 :rule trans :premises (@p403 @p402)) % 0.62/0.88 (step @p405 :rule symm :premises (@p404)) % 0.62/0.88 (step @p406 :rule cong :premises (@p405) :args ((forall @t27 @t310))) % 0.62/0.88 (step @p407 :rule trans :premises (@p406 @p400)) % 0.62/0.88 (step @p408 :rule trans :premises (@p407 @p399)) % 0.62/0.88 (step @p409 :rule aci_norm :args ((= (or @t243 @t309) @t310))) % 0.62/0.88 (step @p410 :rule refl :args (@t309)) % 0.62/0.88 (step @p411 :rule nary_cong :premises (@p261 @p410) :args ((or @t245 @t309))) % 0.62/0.88 (step @p412 :rule trans :premises (@p411 @p409)) % 0.62/0.88 (step @p413 :rule bool-impl-elim :args (@t25 @t309)) % 0.62/0.88 (step @p414 :rule trans :premises (@p413 @p412)) % 0.62/0.88 (step @p415 :rule cong :premises (@p414) :args ((forall @t27 (=> @t25 @t309)))) % 0.62/0.88 (step @p416 :rule trans :premises (@p415 @p408)) % 0.62/0.88 (step @p417 :rule aci_norm :args ((= (or @t307 @t311) @t308))) % 0.62/0.88 (step @p418 :rule bool-impl-elim :args (@t97 @t311)) % 0.62/0.88 (step @p419 :rule trans :premises (@p418 @p417)) % 0.62/0.88 (step @p420 :rule cong :premises (@p419) :args ((forall @t17 (=> @t97 @t311)))) % 0.62/0.88 (step @p421 :rule aci_norm :args ((= (or @t306 false @t305) @t311))) % 0.62/0.88 (step @p422 :rule refl :args (@t305)) % 0.62/0.88 (step @p423 :rule refl :args (@t306)) % 0.62/0.88 (step @p424 :rule nary_cong :premises (@p423 @p133 @p422) :args (@t312)) % 0.62/0.88 (step @p425 :rule trans :premises (@p424 @p421)) % 0.62/0.88 (step @p426 :rule quant-var-elim-eq :args ((= (forall @t11 (or @t265 @t313 @t263 @t92)) @t312))) % 0.62/0.88 (step @p427 :rule refl :args (@t92)) % 0.62/0.88 (step @p428 :rule refl :args (@t313)) % 0.62/0.88 (step @p429 :rule nary_cong :premises (@p302 @p428 @p299 @p427) :args (@t314)) % 0.62/0.88 (step @p430 :rule aci_norm :args ((= @t315 @t314))) % 0.62/0.88 (step @p431 :rule trans :premises (@p430 @p429)) % 0.62/0.88 (step @p432 :rule cong :premises (@p431) :args ((forall @t11 @t315))) % 0.62/0.88 (step @p433 :rule trans :premises (@p432 @p426)) % 0.62/0.88 (step @p434 :rule trans :premises (@p433 @p425)) % 0.62/0.88 (step @p435 :rule aci_norm :args ((= (or @t313 (or @t263 @t92)) @t315))) % 0.62/0.88 (step @p436 :rule bool-impl-elim :args (@t7 @t92)) % 0.62/0.88 (step @p437 :rule nary_cong :premises (@p428 @p436) :args ((or @t313 @t93))) % 0.62/0.88 (step @p438 :rule trans :premises (@p437 @p435)) % 0.62/0.88 (step @p439 :rule bool-impl-elim :args (@t95 @t93)) % 0.62/0.88 (step @p440 :rule trans :premises (@p439 @p438)) % 0.62/0.88 (step @p441 :rule cong :premises (@p440) :args (@t96)) % 0.62/0.88 (step @p442 :rule trans :premises (@p441 @p434)) % 0.62/0.88 (step @p443 :rule refl :args (@t97)) % 0.62/0.88 (step @p444 :rule cong :premises (@p443 @p442) :args (@t98)) % 0.62/0.88 (step @p445 :rule cong :premises (@p444) :args (@t99)) % 0.62/0.88 (step @p446 :rule trans :premises (@p445 @p420)) % 0.62/0.88 (step @p447 :rule cong :premises (@p321 @p446) :args (@t100)) % 0.62/0.88 (step @p448 :rule cong :premises (@p447) :args (@t101)) % 0.62/0.88 (step @p449 :rule trans :premises (@p448 @p416)) % 0.62/0.88 (step @p450 :rule eq_resolve :premises (@p60 @p449)) % 0.62/0.88 (step @p451 :rule instantiate :premises (@p450) :args (@t316)) % 0.62/0.88 (step @p452 :rule aci_norm :args ((= @t321 (or @t23 @t186 @t137 @t136 @t135 @t319 @t318)))) % 0.62/0.88 (step @p453 :rule cong :premises (@p452) :args (@t322)) % 0.62/0.88 (step @p454 :rule quant-merge-prenex :args ((= (forall @t27 @t324) @t322))) % 0.62/0.88 (step @p455 :rule alpha_equiv :args (@t325 (@list @t317) @t253)) % 0.62/0.88 (step @p456 :rule nary_cong :premises (@p80 @p251 @p79 @p78 @p77 @p455) :args (@t326)) % 0.62/0.88 (step @p457 :rule quant-miniscope-or :args ((= @t324 @t326))) % 0.62/0.88 (step @p458 :rule trans :premises (@p457 @p456)) % 0.62/0.88 (step @p459 :rule symm :premises (@p458)) % 0.62/0.88 (step @p460 :rule cong :premises (@p459) :args ((forall @t27 @t328))) % 0.62/0.88 (step @p461 :rule trans :premises (@p460 @p454)) % 0.62/0.88 (step @p462 :rule trans :premises (@p461 @p453)) % 0.62/0.88 (step @p463 :rule aci_norm :args ((= (or @t243 @t327) @t328))) % 0.62/0.88 (step @p464 :rule refl :args (@t327)) % 0.62/0.88 (step @p465 :rule nary_cong :premises (@p261 @p464) :args ((or @t245 @t327))) % 0.62/0.88 (step @p466 :rule trans :premises (@p465 @p463)) % 0.62/0.88 (step @p467 :rule bool-impl-elim :args (@t25 @t327)) % 0.62/0.88 (step @p468 :rule trans :premises (@p467 @p466)) % 0.62/0.88 (step @p469 :rule cong :premises (@p468) :args ((forall @t27 (=> @t25 @t327)))) % 0.62/0.88 (step @p470 :rule trans :premises (@p469 @p462)) % 0.62/0.88 (step @p471 :rule bool-impl-elim :args (@t15 @t97)) % 0.62/0.88 (step @p472 :rule cong :premises (@p471) :args (@t102)) % 0.62/0.88 (step @p473 :rule cong :premises (@p321 @p472) :args (@t103)) % 0.62/0.88 (step @p474 :rule cong :premises (@p473) :args (@t104)) % 0.62/0.88 (step @p475 :rule trans :premises (@p474 @p470)) % 0.62/0.88 (step @p476 :rule eq_resolve :premises (@p61 @p475)) % 0.62/0.88 (step @p477 :rule instantiate :premises (@p476) :args (@t316)) % 0.62/0.88 (step @p478 :rule bool-double-not-elim :args (@t272)) % 0.62/0.88 (step @p479 :rule nary_cong :premises (@p329 @p478) :args ((or @t282 (not @t273)))) % 0.62/0.88 (step @p480 :rule cnf_or_neg :args (@t282 5)) % 0.62/0.88 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 0.62/0.88 (step @p482 :rule reordering :premises (@p481) :args ((or @t272 @t282))) % 0.62/0.88 (step @p483 :rule chain_m_resolution :premises (@p482 @p327) :args (@t272 @t283 @t284)) % 0.62/0.88 (step @p484 :rule cnf_or_pos :args (@t330)) % 0.62/0.88 (step @p485 :rule reordering :premises (@p484) :args ((or @t281 @t280 @t278 @t276 @t274 @t273 @t329 (not @t330)))) % 0.62/0.88 (step @p486 :rule chain_m_resolution :premises (@p485 @p354 @p352 @p346 @p340 @p334 @p483 @p477) :args (@t329 (@list true false false false false false false) (@list @t281 @t279 @t277 @t275 @t268 @t272 @t330))) % 0.62/0.88 (step @p487 :rule cnf_or_pos :args (@t333)) % 0.62/0.88 (step @p488 :rule reordering :premises (@p487) :args ((or @t281 @t280 @t278 @t276 @t274 @t332 @t201 @t331 (not @t333)))) % 0.62/0.88 (step @p489 :rule chain_m_resolution :premises (@p488 @p354 @p352 @p346 @p340 @p334 @p486 @p390 @p451) :args (@t331 (@list true false false false false false false false) (@list @t281 @t279 @t277 @t275 @t268 @t329 @t200 @t333))) % 0.62/0.88 (step @p490 :rule trans :premises (@p489 @p397)) % 0.62/0.88 (step @p491 :rule true_intro :premises (@p490)) % 0.62/0.88 (step @p492 :rule cnf_or_neg :args (@t282 7)) % 0.62/0.88 (step @p493 :rule chain_m_resolution :premises (@p492 @p327) :args ((not @t270) @t283 @t284)) % 0.62/0.88 (step @p494 :rule false_intro :premises (@p493)) % 0.62/0.88 (step @p495 :rule symm :premises (@p494)) % 0.62/0.88 (step @p496 :rule trans :premises (@p495 @p491)) % 0.62/0.88 (step @p497 false :rule eq_resolve :premises (@p496 @p72)) % 0.62/0.88 ) % 0.62/0.88 % SZS output end Proof % 0.62/0.88 % cvc5 exiting %------------------------------------------------------------------------------