%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP643+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 : n002.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 08:21:09 AM UTC 2026 % Result : Theorem 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP643+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 01:34:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Theorem % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.r1_rlvect_1 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.k1_latsubgr (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.k1_group_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.46/0.64 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.46/0.64 (define @t1 () (@var "B" $$unsorted)) % 0.46/0.64 (define @t2 () (@var "A" $$unsorted)) % 0.46/0.64 (define @t3 () (tptp.k1_latsubgr @t2)) % 0.46/0.64 (define @t4 () (tptp.k1_funct_1 @t3 @t1)) % 0.46/0.64 (define @t5 () (@var "D" $$unsorted)) % 0.46/0.64 (define @t6 () (@var "C" $$unsorted)) % 0.46/0.64 (define @t7 () (tptp.r2_hidden (tptp.k1_group_1 @t2 @t6 @t5) @t4)) % 0.46/0.64 (define @t8 () (tptp.r2_hidden @t5 @t4)) % 0.46/0.64 (define @t9 () (tptp.r2_hidden @t6 @t4)) % 0.46/0.64 (define @t10 () (and @t9 @t8)) % 0.46/0.64 (define @t11 () (=> @t10 @t7)) % 0.46/0.64 (define @t12 () (tptp.u1_struct_0 @t2)) % 0.46/0.64 (define @t13 () (tptp.m1_subset_1 @t5 @t12)) % 0.46/0.64 (define @t14 () (@list @t5)) % 0.46/0.64 (define @t15 () (forall @t14 (=> @t13 @t11))) % 0.46/0.64 (define @t16 () (tptp.m1_subset_1 @t6 @t12)) % 0.46/0.64 (define @t17 () (=> @t16 @t15)) % 0.46/0.64 (define @t18 () (@list @t6)) % 0.46/0.64 (define @t19 () (forall @t18 @t17)) % 0.46/0.64 (define @t20 () (tptp.m1_group_2 @t1 @t2)) % 0.46/0.64 (define @t21 () (tptp.v1_group_1 @t1)) % 0.46/0.64 (define @t22 () (and @t21 @t20)) % 0.46/0.64 (define @t23 () (=> @t22 @t19)) % 0.46/0.64 (define @t24 () (@list @t1)) % 0.46/0.64 (define @t25 () (forall @t24 @t23)) % 0.46/0.64 (define @t26 () (tptp.l1_group_1 @t2)) % 0.46/0.64 (define @t27 () (tptp.v4_group_1 @t2)) % 0.46/0.64 (define @t28 () (tptp.v3_group_1 @t2)) % 0.46/0.64 (define @t29 () (tptp.v3_struct_0 @t2)) % 0.46/0.64 (define @t30 () (not @t29)) % 0.46/0.64 (define @t31 () (and @t30 @t28 @t27 @t26)) % 0.46/0.64 (define @t32 () (=> @t31 @t25)) % 0.46/0.64 (define @t33 () (@list @t2)) % 0.46/0.64 (define @t34 () (forall @t33 @t32)) % 0.46/0.64 (define @t35 () (not @t34)) % 0.46/0.64 (define @t36 () (tptp.u1_group_1 @t2)) % 0.46/0.64 (define @t37 () (tptp.r2_hidden @t2 @t1)) % 0.46/0.64 (define @t38 () (@list @t2 @t1)) % 0.46/0.64 (define @t39 () (tptp.v1_funct_2 @t6 @t2 @t1)) % 0.46/0.64 (define @t40 () (tptp.v1_funct_1 @t6)) % 0.46/0.64 (define @t41 () (and @t40 @t39)) % 0.46/0.64 (define @t42 () (tptp.v1_partfun1 @t6 @t2 @t1)) % 0.46/0.64 (define @t43 () (tptp.m1_relset_1 @t6 @t2 @t1)) % 0.46/0.64 (define @t44 () (@list @t2 @t1 @t6)) % 0.46/0.64 (define @t45 () (tptp.v1_relat_1 @t6)) % 0.46/0.64 (define @t46 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.46/0.64 (define @t47 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t46))) % 0.46/0.64 (define @t48 () (tptp.v1_xboole_0 @t1)) % 0.46/0.64 (define @t49 () (not @t48)) % 0.46/0.64 (define @t50 () (tptp.v1_xboole_0 @t6)) % 0.46/0.64 (define @t51 () (tptp.v1_xboole_0 @t2)) % 0.46/0.64 (define @t52 () (not @t51)) % 0.46/0.64 (define @t53 () (and @t52 @t49)) % 0.46/0.64 (define @t54 () (tptp.g1_group_1 @t2 @t1)) % 0.46/0.64 (define @t55 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.46/0.64 (define @t56 () (and (tptp.v1_funct_1 @t1) (tptp.v1_funct_2 @t1 @t55 @t2) (tptp.m1_relset_1 @t1 @t55 @t2))) % 0.46/0.64 (define @t57 () (tptp.k1_group_1 @t2 @t1 @t6)) % 0.46/0.64 (define @t58 () (tptp.m1_subset_1 @t57 @t12)) % 0.46/0.64 (define @t59 () (tptp.m1_subset_1 @t1 @t12)) % 0.46/0.64 (define @t60 () (and @t30 @t26 @t59 @t16)) % 0.46/0.64 (define @t61 () (forall @t44 (=> @t60 @t58))) % 0.46/0.64 (define @t62 () (tptp.k1_zfmisc_1 @t12)) % 0.46/0.64 (define @t63 () (tptp.k1_group_3 @t2)) % 0.46/0.64 (define @t64 () (tptp.l1_struct_0 @t2)) % 0.46/0.64 (define @t65 () (and @t30 @t28 @t26)) % 0.46/0.64 (define @t66 () (tptp.m2_relset_1 @t6 @t2 @t1)) % 0.46/0.64 (define @t67 () (tptp.k2_zfmisc_1 @t12 @t12)) % 0.46/0.64 (define @t68 () (and @t30 @t64)) % 0.46/0.64 (define @t69 () (tptp.k1_zfmisc_1 @t2)) % 0.46/0.64 (define @t70 () (tptp.m1_subset_1 @t1 @t69)) % 0.46/0.64 (define @t71 () (= @t9 (tptp.r1_rlvect_1 @t1 @t6))) % 0.46/0.64 (define @t72 () (forall @t18 (=> @t16 @t71))) % 0.46/0.64 (define @t73 () (=> @t22 @t72)) % 0.46/0.64 (define @t74 () (forall @t24 @t73)) % 0.46/0.64 (define @t75 () (=> @t31 @t74)) % 0.46/0.64 (define @t76 () (forall @t33 @t75)) % 0.46/0.64 (define @t77 () (tptp.m1_subset_1 @t2 @t1)) % 0.46/0.64 (define @t78 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t6))) % 0.46/0.64 (define @t79 () (tptp.r1_rlvect_1 @t5 @t57)) % 0.46/0.64 (define @t80 () (tptp.r1_rlvect_1 @t5 @t6)) % 0.46/0.64 (define @t81 () (tptp.r1_rlvect_1 @t5 @t1)) % 0.46/0.64 (define @t82 () (and @t81 @t80)) % 0.46/0.64 (define @t83 () (=> @t82 @t79)) % 0.46/0.64 (define @t84 () (tptp.m1_group_2 @t5 @t2)) % 0.46/0.64 (define @t85 () (forall @t14 (=> @t84 @t83))) % 0.46/0.64 (define @t86 () (=> @t16 @t85)) % 0.46/0.64 (define @t87 () (forall @t18 @t86)) % 0.46/0.64 (define @t88 () (=> @t59 @t87)) % 0.46/0.64 (define @t89 () (forall @t24 @t88)) % 0.46/0.64 (define @t90 () (=> @t31 @t89)) % 0.46/0.64 (define @t91 () (forall @t33 @t90)) % 0.46/0.64 (define @t92 () (@var "BOUND_VARIABLE_8164" $$unsorted)) % 0.46/0.64 (define @t93 () (@var "BOUND_VARIABLE_8162" $$unsorted)) % 0.46/0.64 (define @t94 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 0.46/0.64 (define @t95 () (tptp.r1_rlvect_1 @t94 (tptp.k1_group_1 @t2 @t93 @t92))) % 0.46/0.64 (define @t96 () (not (tptp.r1_rlvect_1 @t94 @t92))) % 0.46/0.64 (define @t97 () (not (tptp.r1_rlvect_1 @t94 @t93))) % 0.46/0.64 (define @t98 () (not (tptp.m1_group_2 @t94 @t2))) % 0.46/0.64 (define @t99 () (not (tptp.m1_subset_1 @t92 @t12))) % 0.46/0.64 (define @t100 () (not (tptp.m1_subset_1 @t93 @t12))) % 0.46/0.64 (define @t101 () (not @t26)) % 0.46/0.64 (define @t102 () (not @t27)) % 0.46/0.64 (define @t103 () (not @t28)) % 0.46/0.64 (define @t104 () (or @t29 @t103 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95)) % 0.46/0.64 (define @t105 () (or @t100 @t99 @t98 @t97 @t96 @t95)) % 0.46/0.64 (define @t106 () (or @t29 @t103 @t102 @t101 @t105)) % 0.46/0.64 (define @t107 () (@list @t2 @t93 @t92 @t94)) % 0.46/0.64 (define @t108 () (forall @t107 @t106)) % 0.46/0.64 (define @t109 () (@list @t93 @t92 @t94)) % 0.46/0.64 (define @t110 () (forall @t109 @t106)) % 0.46/0.64 (define @t111 () (forall @t109 @t105)) % 0.46/0.64 (define @t112 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 0.46/0.64 (define @t113 () (@var "BOUND_VARIABLE_8138" $$unsorted)) % 0.46/0.64 (define @t114 () (or @t29 @t103 @t102 @t101 @t111)) % 0.46/0.64 (define @t115 () (tptp.r1_rlvect_1 @t112 (tptp.k1_group_1 @t2 @t1 @t113))) % 0.46/0.64 (define @t116 () (not (tptp.r1_rlvect_1 @t112 @t113))) % 0.46/0.64 (define @t117 () (not (tptp.r1_rlvect_1 @t112 @t1))) % 0.46/0.64 (define @t118 () (not (tptp.m1_group_2 @t112 @t2))) % 0.46/0.64 (define @t119 () (not (tptp.m1_subset_1 @t113 @t12))) % 0.46/0.64 (define @t120 () (not @t59)) % 0.46/0.64 (define @t121 () (or @t120 @t119 @t118 @t117 @t116 @t115)) % 0.46/0.64 (define @t122 () (@list @t1 @t113 @t112)) % 0.46/0.64 (define @t123 () (forall @t122 @t121)) % 0.46/0.64 (define @t124 () (or @t29 @t103 @t102 @t101 @t123)) % 0.46/0.64 (define @t125 () (or @t29 @t103 @t102 @t101)) % 0.46/0.64 (define @t126 () (not @t30)) % 0.46/0.64 (define @t127 () (or @t126 @t103 @t102 @t101)) % 0.46/0.64 (define @t128 () (not @t31)) % 0.46/0.64 (define @t129 () (or @t119 @t118 @t117 @t116 @t115)) % 0.46/0.64 (define @t130 () (or @t120 @t129)) % 0.46/0.64 (define @t131 () (forall @t122 @t130)) % 0.46/0.64 (define @t132 () (@list @t113 @t112)) % 0.46/0.64 (define @t133 () (forall @t132 @t130)) % 0.46/0.64 (define @t134 () (forall @t132 @t129)) % 0.46/0.64 (define @t135 () (@var "BOUND_VARIABLE_8119" $$unsorted)) % 0.46/0.64 (define @t136 () (or @t120 @t134)) % 0.46/0.64 (define @t137 () (tptp.r1_rlvect_1 @t135 @t57)) % 0.46/0.64 (define @t138 () (not (tptp.r1_rlvect_1 @t135 @t6))) % 0.46/0.64 (define @t139 () (not (tptp.r1_rlvect_1 @t135 @t1))) % 0.46/0.64 (define @t140 () (not (tptp.m1_group_2 @t135 @t2))) % 0.46/0.64 (define @t141 () (not @t16)) % 0.46/0.64 (define @t142 () (or @t141 @t140 @t139 @t138 @t137)) % 0.46/0.64 (define @t143 () (@list @t6 @t135)) % 0.46/0.64 (define @t144 () (forall @t143 @t142)) % 0.46/0.64 (define @t145 () (or @t140 @t139 @t138 @t137)) % 0.46/0.64 (define @t146 () (or @t141 @t145)) % 0.46/0.64 (define @t147 () (forall @t143 @t146)) % 0.46/0.64 (define @t148 () (@list @t135)) % 0.46/0.64 (define @t149 () (forall @t148 @t146)) % 0.46/0.64 (define @t150 () (forall @t148 @t145)) % 0.46/0.64 (define @t151 () (@list @t5)) % 0.46/0.64 (define @t152 () (or @t141 @t150)) % 0.46/0.64 (define @t153 () (not @t80)) % 0.46/0.64 (define @t154 () (not @t81)) % 0.46/0.64 (define @t155 () (not @t84)) % 0.46/0.64 (define @t156 () (or @t155 @t154 @t153 @t79)) % 0.46/0.64 (define @t157 () (forall @t14 @t156)) % 0.46/0.64 (define @t158 () (or @t154 @t153 @t79)) % 0.46/0.64 (define @t159 () (@var "BOUND_VARIABLE_8075" $$unsorted)) % 0.46/0.64 (define @t160 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 0.46/0.64 (define @t161 () (= (tptp.r2_hidden @t159 (tptp.k1_funct_1 @t3 @t160)) (tptp.r1_rlvect_1 @t160 @t159))) % 0.46/0.64 (define @t162 () (not (tptp.m1_subset_1 @t159 @t12))) % 0.46/0.64 (define @t163 () (not (tptp.m1_group_2 @t160 @t2))) % 0.46/0.64 (define @t164 () (not (tptp.v1_group_1 @t160))) % 0.46/0.64 (define @t165 () (or @t164 @t163 @t162 @t161)) % 0.46/0.64 (define @t166 () (or @t29 @t103 @t102 @t101 @t165)) % 0.46/0.64 (define @t167 () (forall (@list @t2 @t160 @t159) @t166)) % 0.46/0.64 (define @t168 () (@list @t160 @t159)) % 0.46/0.64 (define @t169 () (forall @t168 @t166)) % 0.46/0.64 (define @t170 () (forall @t168 @t165)) % 0.46/0.64 (define @t171 () (@var "BOUND_VARIABLE_8056" $$unsorted)) % 0.46/0.64 (define @t172 () (or @t29 @t103 @t102 @t101 @t170)) % 0.46/0.64 (define @t173 () (= (tptp.r2_hidden @t171 @t4) (tptp.r1_rlvect_1 @t1 @t171))) % 0.46/0.64 (define @t174 () (not (tptp.m1_subset_1 @t171 @t12))) % 0.46/0.64 (define @t175 () (not @t20)) % 0.46/0.64 (define @t176 () (not @t21)) % 0.46/0.64 (define @t177 () (or @t176 @t175 @t174 @t173)) % 0.46/0.64 (define @t178 () (@list @t1 @t171)) % 0.46/0.64 (define @t179 () (forall @t178 @t177)) % 0.46/0.64 (define @t180 () (or @t29 @t103 @t102 @t101 @t179)) % 0.46/0.64 (define @t181 () (or @t174 @t173)) % 0.46/0.64 (define @t182 () (or @t176 @t175 @t181)) % 0.46/0.64 (define @t183 () (forall @t178 @t182)) % 0.46/0.64 (define @t184 () (@list @t171)) % 0.46/0.64 (define @t185 () (forall @t184 @t182)) % 0.46/0.64 (define @t186 () (forall @t184 @t181)) % 0.46/0.64 (define @t187 () (or @t176 @t175 @t186)) % 0.46/0.64 (define @t188 () (forall @t18 (or @t141 @t71))) % 0.46/0.64 (define @t189 () (or @t176 @t175 @t188)) % 0.46/0.64 (define @t190 () (or @t176 @t175)) % 0.46/0.64 (define @t191 () (not @t22)) % 0.46/0.64 (define @t192 () (@var "BOUND_VARIABLE_7761" $$unsorted)) % 0.46/0.64 (define @t193 () (tptp.k1_funct_1 @t3 @t192)) % 0.46/0.64 (define @t194 () (@var "BOUND_VARIABLE_7765" $$unsorted)) % 0.46/0.64 (define @t195 () (@var "BOUND_VARIABLE_7763" $$unsorted)) % 0.46/0.64 (define @t196 () (tptp.r2_hidden (tptp.k1_group_1 @t2 @t195 @t194) @t193)) % 0.46/0.64 (define @t197 () (not (tptp.r2_hidden @t194 @t193))) % 0.46/0.64 (define @t198 () (not (tptp.m1_subset_1 @t194 @t12))) % 0.46/0.64 (define @t199 () (not (tptp.r2_hidden @t195 @t193))) % 0.46/0.64 (define @t200 () (not (tptp.m1_subset_1 @t195 @t12))) % 0.46/0.64 (define @t201 () (not (tptp.m1_group_2 @t192 @t2))) % 0.46/0.64 (define @t202 () (not (tptp.v1_group_1 @t192))) % 0.46/0.64 (define @t203 () (or @t29 @t103 @t102 @t101 @t202 @t201 @t200 @t199 @t198 @t197 @t196)) % 0.46/0.64 (define @t204 () (@list @t2 @t192 @t195 @t194)) % 0.46/0.64 (define @t205 () (forall @t204 @t203)) % 0.46/0.64 (define @t206 () (@quantifiers_skolemize @t205 3)) % 0.46/0.64 (define @t207 () (@quantifiers_skolemize @t205 1)) % 0.46/0.64 (define @t208 () (@quantifiers_skolemize @t205 0)) % 0.46/0.64 (define @t209 () (or @t202 @t201 @t200 @t199 @t198 @t197 @t196)) % 0.46/0.64 (define @t210 () (or @t29 @t103 @t102 @t101 @t209)) % 0.46/0.64 (define @t211 () (forall @t204 @t210)) % 0.46/0.64 (define @t212 () (@list @t192 @t195 @t194)) % 0.46/0.64 (define @t213 () (forall @t212 @t210)) % 0.46/0.64 (define @t214 () (forall @t212 @t209)) % 0.46/0.64 (define @t215 () (@var "BOUND_VARIABLE_7734" $$unsorted)) % 0.46/0.64 (define @t216 () (@var "BOUND_VARIABLE_7732" $$unsorted)) % 0.46/0.64 (define @t217 () (or @t29 @t103 @t102 @t101 @t214)) % 0.46/0.64 (define @t218 () (tptp.r2_hidden (tptp.k1_group_1 @t2 @t216 @t215) @t4)) % 0.46/0.64 (define @t219 () (not (tptp.r2_hidden @t215 @t4))) % 0.46/0.64 (define @t220 () (not (tptp.m1_subset_1 @t215 @t12))) % 0.46/0.64 (define @t221 () (not (tptp.r2_hidden @t216 @t4))) % 0.46/0.64 (define @t222 () (not (tptp.m1_subset_1 @t216 @t12))) % 0.46/0.64 (define @t223 () (or @t176 @t175 @t222 @t221 @t220 @t219 @t218)) % 0.46/0.64 (define @t224 () (@list @t1 @t216 @t215)) % 0.46/0.64 (define @t225 () (forall @t224 @t223)) % 0.46/0.64 (define @t226 () (or @t29 @t103 @t102 @t101 @t225)) % 0.46/0.64 (define @t227 () (or @t222 @t221 @t220 @t219 @t218)) % 0.46/0.64 (define @t228 () (or @t176 @t175 @t227)) % 0.46/0.64 (define @t229 () (forall @t224 @t228)) % 0.46/0.64 (define @t230 () (@list @t216 @t215)) % 0.46/0.64 (define @t231 () (forall @t230 @t228)) % 0.46/0.64 (define @t232 () (forall @t230 @t227)) % 0.46/0.64 (define @t233 () (@var "BOUND_VARIABLE_7710" $$unsorted)) % 0.46/0.64 (define @t234 () (or @t176 @t175 @t232)) % 0.46/0.64 (define @t235 () (tptp.r2_hidden (tptp.k1_group_1 @t2 @t6 @t233) @t4)) % 0.46/0.64 (define @t236 () (not (tptp.r2_hidden @t233 @t4))) % 0.46/0.64 (define @t237 () (not (tptp.m1_subset_1 @t233 @t12))) % 0.46/0.64 (define @t238 () (not @t9)) % 0.46/0.64 (define @t239 () (or @t141 @t238 @t237 @t236 @t235)) % 0.46/0.64 (define @t240 () (@list @t6 @t233)) % 0.46/0.64 (define @t241 () (forall @t240 @t239)) % 0.46/0.64 (define @t242 () (or @t176 @t175 @t241)) % 0.46/0.64 (define @t243 () (or @t237 @t236 @t235)) % 0.46/0.64 (define @t244 () (or @t141 @t238 @t243)) % 0.46/0.64 (define @t245 () (forall @t240 @t244)) % 0.46/0.64 (define @t246 () (@list @t233)) % 0.46/0.64 (define @t247 () (forall @t246 @t244)) % 0.46/0.64 (define @t248 () (forall @t246 @t243)) % 0.46/0.64 (define @t249 () (or @t141 @t238 @t248)) % 0.46/0.64 (define @t250 () (not @t8)) % 0.46/0.64 (define @t251 () (not @t13)) % 0.46/0.64 (define @t252 () (or @t251 @t250 @t7)) % 0.46/0.64 (define @t253 () (forall @t14 @t252)) % 0.46/0.64 (define @t254 () (or @t141 @t238 @t253)) % 0.46/0.64 (define @t255 () (or @t238 @t253)) % 0.46/0.64 (define @t256 () (or @t238 @t252)) % 0.46/0.64 (define @t257 () (or @t251 @t238 @t250 @t7)) % 0.46/0.64 (define @t258 () (or @t238 @t250 @t7)) % 0.46/0.64 (define @t259 () (tptp.u1_struct_0 @t208)) % 0.46/0.64 (define @t260 () (tptp.m1_subset_1 @t206 @t259)) % 0.46/0.64 (define @t261 () (tptp.k1_funct_1 (tptp.k1_latsubgr @t208) @t207)) % 0.46/0.64 (define @t262 () (@quantifiers_skolemize @t205 2)) % 0.46/0.64 (define @t263 () (tptp.k1_group_1 @t208 @t262 @t206)) % 0.46/0.64 (define @t264 () (tptp.r2_hidden @t263 @t261)) % 0.46/0.64 (define @t265 () (tptp.r2_hidden @t206 @t261)) % 0.46/0.64 (define @t266 () (not @t265)) % 0.46/0.64 (define @t267 () (not @t260)) % 0.46/0.64 (define @t268 () (tptp.r2_hidden @t262 @t261)) % 0.46/0.64 (define @t269 () (not @t268)) % 0.46/0.64 (define @t270 () (tptp.m1_subset_1 @t262 @t259)) % 0.46/0.64 (define @t271 () (not @t270)) % 0.46/0.64 (define @t272 () (tptp.m1_group_2 @t207 @t208)) % 0.46/0.64 (define @t273 () (not @t272)) % 0.46/0.64 (define @t274 () (tptp.v1_group_1 @t207)) % 0.46/0.64 (define @t275 () (not @t274)) % 0.46/0.64 (define @t276 () (tptp.l1_group_1 @t208)) % 0.46/0.64 (define @t277 () (not @t276)) % 0.46/0.64 (define @t278 () (tptp.v4_group_1 @t208)) % 0.46/0.64 (define @t279 () (not @t278)) % 0.46/0.64 (define @t280 () (tptp.v3_group_1 @t208)) % 0.46/0.64 (define @t281 () (not @t280)) % 0.46/0.64 (define @t282 () (tptp.v3_struct_0 @t208)) % 0.46/0.64 (define @t283 () (or @t282 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t266 @t264)) % 0.46/0.64 (define @t284 () (@list true)) % 0.46/0.64 (define @t285 () (@list @t283)) % 0.46/0.64 (define @t286 () (tptp.r1_rlvect_1 @t207 @t206)) % 0.46/0.64 (define @t287 () (= @t265 @t286)) % 0.46/0.64 (define @t288 () (or @t282 @t281 @t279 @t277 @t275 @t273 @t267 @t287)) % 0.46/0.64 (define @t289 () (@list true false false false false false false false)) % 0.46/0.64 (define @t290 () (@list false false)) % 0.46/0.64 (define @t291 () (tptp.r1_rlvect_1 @t207 @t262)) % 0.46/0.64 (define @t292 () (= @t268 @t291)) % 0.46/0.64 (define @t293 () (or @t282 @t281 @t279 @t277 @t275 @t273 @t271 @t292)) % 0.46/0.64 (define @t294 () (or @t126 @t101 @t120 @t141)) % 0.46/0.64 (define @t295 () (tptp.m1_subset_1 @t263 @t259)) % 0.46/0.64 (define @t296 () (or @t282 @t277 @t271 @t267 @t295)) % 0.46/0.64 (define @t297 () (tptp.r1_rlvect_1 @t207 @t263)) % 0.46/0.64 (define @t298 () (= @t264 @t297)) % 0.46/0.64 (define @t299 () (not @t295)) % 0.46/0.64 (define @t300 () (or @t282 @t281 @t279 @t277 @t275 @t273 @t299 @t298)) % 0.46/0.64 (define @t301 () (not @t297)) % 0.46/0.64 (define @t302 () (@list true false)) % 0.46/0.64 (define @t303 () (not @t286)) % 0.46/0.64 (define @t304 () (not @t291)) % 0.46/0.64 (define @t305 () (or @t282 @t281 @t279 @t277 @t271 @t267 @t273 @t304 @t303 @t297)) % 0.46/0.64 (define @t306 () (not @t305)) % 0.46/0.64 (define @t307 () (forall @t107 @t104)) % 0.46/0.64 (assume @p1 @t35) % 0.46/0.64 (assume @p2 (forall @t33 (=> @t26 (=> (tptp.v1_group_1 @t2) (= @t2 (tptp.g1_group_1 @t12 @t36)))))) % 0.46/0.64 (assume @p3 (forall @t38 (=> @t37 (not (tptp.r2_hidden @t1 @t2))))) % 0.46/0.64 (assume @p4 (forall @t44 (=> @t43 (=> (and @t40 @t42) @t41)))) % 0.46/0.64 (assume @p5 (forall @t44 (=> @t47 @t45))) % 0.46/0.64 (assume @p6 (forall @t38 (=> @t49 (forall @t18 (=> @t43 (=> @t41 (and @t40 @t42 @t39))))))) % 0.46/0.64 (assume @p7 (forall @t38 (=> @t53 (forall @t18 (=> @t43 (=> @t41 (and @t40 (not @t50) @t42 @t39))))))) % 0.46/0.64 (assume @p8 (forall @t38 (=> @t56 (and (tptp.v1_group_1 @t54) (tptp.l1_group_1 @t54))))) % 0.46/0.64 (assume @p9 true) % 0.46/0.64 (assume @p10 @t61) % 0.46/0.64 (assume @p11 (forall @t33 (=> @t31 (and (tptp.v1_funct_1 @t3) (tptp.v1_funct_2 @t3 @t63 @t62) (tptp.m2_relset_1 @t3 @t63 @t62))))) % 0.46/0.64 (assume @p12 (forall @t33 (=> @t26 @t64))) % 0.46/0.64 (assume @p13 (forall @t33 (=> @t65 (forall @t24 (=> @t20 (and (not (tptp.v3_struct_0 @t1)) (tptp.v3_group_1 @t1) (tptp.l1_group_1 @t1))))))) % 0.46/0.64 (assume @p14 (forall @t44 (=> @t66 @t47))) % 0.46/0.64 (assume @p15 (forall @t33 (=> @t26 (and (tptp.v1_funct_1 @t36) (tptp.v1_funct_2 @t36 @t67 @t12) (tptp.m2_relset_1 @t36 @t67 @t12))))) % 0.46/0.64 (assume @p16 (exists @t33 @t26)) % 0.46/0.64 (assume @p17 (exists @t33 @t64)) % 0.46/0.64 (assume @p18 (forall @t33 (=> @t65 (exists @t24 @t20)))) % 0.46/0.64 (assume @p19 (forall @t38 (exists @t18 @t43))) % 0.46/0.64 (assume @p20 (forall @t33 (exists @t24 (tptp.m1_subset_1 @t1 @t2)))) % 0.46/0.64 (assume @p21 (forall @t38 (exists @t18 @t66))) % 0.46/0.64 (assume @p22 (forall @t33 (=> @t31 (not (tptp.v1_xboole_0 @t63))))) % 0.46/0.64 (assume @p23 (forall @t33 (=> @t68 (not (tptp.v1_xboole_0 @t12))))) % 0.46/0.64 (assume @p24 (forall @t33 (not (tptp.v1_xboole_0 @t69)))) % 0.46/0.64 (assume @p25 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.46/0.64 (assume @p26 (forall @t38 (=> @t53 (not (tptp.v1_xboole_0 @t46))))) % 0.46/0.64 (assume @p27 (forall @t38 (=> @t56 (forall (@list @t6 @t5) (=> (= @t54 (tptp.g1_group_1 @t6 @t5)) (and (= @t2 @t6) (= @t1 @t5))))))) % 0.46/0.64 (assume @p28 (forall @t38 (exists @t18 (and @t43 @t45 @t40 @t39)))) % 0.46/0.64 (assume @p29 (forall @t33 (=> @t52 (exists @t24 (and @t70 @t49))))) % 0.46/0.64 (assume @p30 (exists @t33 @t51)) % 0.46/0.64 (assume @p31 (forall @t38 (exists @t18 (and @t43 @t45 @t40)))) % 0.46/0.64 (assume @p32 (forall @t33 (exists @t24 (and @t70 @t48)))) % 0.46/0.64 (assume @p33 (exists @t33 @t52)) % 0.46/0.64 (assume @p34 (exists @t33 (and @t64 @t30))) % 0.46/0.64 (assume @p35 (forall @t33 (=> @t68 (exists @t24 (and (tptp.m1_subset_1 @t1 @t62) @t49))))) % 0.46/0.64 (assume @p36 (forall @t44 (= @t66 @t43))) % 0.46/0.64 (assume @p37 (forall @t38 (tptp.r1_tarski @t2 @t2))) % 0.46/0.64 (assume @p38 @t76) % 0.46/0.64 (assume @p39 (forall @t38 (=> @t37 @t77))) % 0.46/0.64 (assume @p40 (forall @t38 (=> @t77 (or @t48 @t37)))) % 0.46/0.64 (assume @p41 (forall @t38 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.46/0.64 (assume @p42 (forall @t44 (=> (and @t37 @t78) (tptp.m1_subset_1 @t2 @t6)))) % 0.46/0.64 (assume @p43 @t91) % 0.46/0.64 (assume @p44 (forall @t44 (not (and @t37 @t78 @t50)))) % 0.46/0.64 (assume @p45 (forall @t33 (=> @t51 (= @t2 tptp.k1_xboole_0)))) % 0.46/0.64 (assume @p46 (forall @t38 (not (and @t37 @t48)))) % 0.46/0.64 (assume @p47 (forall @t38 (not (and @t51 (not (= @t2 @t1)) @t48)))) % 0.46/0.64 (step @p48 :rule aci_norm :args ((= @t106 @t104))) % 0.46/0.64 (step @p49 :rule cong :premises (@p48) :args (@t108)) % 0.46/0.64 (step @p50 :rule quant-merge-prenex :args ((= (forall @t33 @t110) @t108))) % 0.46/0.64 (step @p51 :rule alpha_equiv :args (@t111 (@list @t93 @t92 @t94) (@list @t1 @t113 @t112))) % 0.46/0.64 (step @p52 :rule refl :args (@t101)) % 0.46/0.64 (step @p53 :rule refl :args (@t102)) % 0.46/0.64 (step @p54 :rule refl :args (@t103)) % 0.46/0.64 (step @p55 :rule refl :args (@t29)) % 0.46/0.64 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p51) :args (@t114)) % 0.46/0.64 (step @p57 :rule quant-miniscope-or :args ((= @t110 @t114))) % 0.46/0.64 (step @p58 :rule trans :premises (@p57 @p56)) % 0.46/0.64 (step @p59 :rule symm :premises (@p58)) % 0.46/0.64 (step @p60 :rule cong :premises (@p59) :args ((forall @t33 @t124))) % 0.46/0.64 (step @p61 :rule trans :premises (@p60 @p50)) % 0.46/0.64 (step @p62 :rule trans :premises (@p61 @p49)) % 0.46/0.64 (step @p63 :rule aci_norm :args ((= (or @t125 @t123) @t124))) % 0.46/0.64 (step @p64 :rule refl :args (@t123)) % 0.46/0.64 (step @p65 :rule bool-double-not-elim :args (@t29)) % 0.46/0.64 (step @p66 :rule nary_cong :premises (@p65 @p54 @p53 @p52) :args (@t127)) % 0.46/0.64 (step @p67 :rule aci_norm :args ((= (or @t126 (or @t103 (or @t102 @t101))) @t127))) % 0.46/0.64 (step @p68 :rule trans :premises (@p67 @p66)) % 0.46/0.64 (step @p69 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.46/0.64 (step @p70 :rule nary_cong :premises (@p54 @p69) :args ((or @t103 (not (and @t27 @t26))))) % 0.46/0.64 (step @p71 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26))) % 0.46/0.64 (step @p72 :rule trans :premises (@p71 @p70)) % 0.46/0.64 (step @p73 :rule refl :args (@t126)) % 0.46/0.64 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t126 (not (and @t28 @t27 @t26))))) % 0.46/0.64 (step @p75 :rule bool-and-de-morgan :args (@t30 @t28 (and @t27 @t26))) % 0.46/0.64 (step @p76 :rule trans :premises (@p75 @p74)) % 0.46/0.64 (step @p77 :rule trans :premises (@p76 @p68)) % 0.46/0.64 (step @p78 :rule nary_cong :premises (@p77 @p64) :args ((or @t128 @t123))) % 0.46/0.64 (step @p79 :rule trans :premises (@p78 @p63)) % 0.46/0.64 (step @p80 :rule bool-impl-elim :args (@t31 @t123)) % 0.46/0.64 (step @p81 :rule trans :premises (@p80 @p79)) % 0.46/0.64 (step @p82 :rule cong :premises (@p81) :args ((forall @t33 (=> @t31 @t123)))) % 0.46/0.64 (step @p83 :rule trans :premises (@p82 @p62)) % 0.46/0.64 (step @p84 :rule aci_norm :args ((= @t130 @t121))) % 0.46/0.64 (step @p85 :rule cong :premises (@p84) :args (@t131)) % 0.46/0.64 (step @p86 :rule quant-merge-prenex :args ((= (forall @t24 @t133) @t131))) % 0.46/0.64 (step @p87 :rule alpha_equiv :args (@t134 (@list @t113 @t112) (@list @t6 @t135))) % 0.46/0.64 (step @p88 :rule refl :args (@t120)) % 0.46/0.64 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t136)) % 0.46/0.64 (step @p90 :rule quant-miniscope-or :args ((= @t133 @t136))) % 0.46/0.64 (step @p91 :rule trans :premises (@p90 @p89)) % 0.46/0.64 (step @p92 :rule symm :premises (@p91)) % 0.46/0.64 (step @p93 :rule cong :premises (@p92) :args ((forall @t24 (or @t120 @t144)))) % 0.46/0.64 (step @p94 :rule trans :premises (@p93 @p86)) % 0.46/0.64 (step @p95 :rule trans :premises (@p94 @p85)) % 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(step @p342 :rule cnf_or_neg :args (@t283 7)) % 0.46/0.64 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 0.46/0.64 (step @p344 :rule reordering :premises (@p343) :args ((or @t268 @t283))) % 0.46/0.64 (step @p345 :rule chain_m_resolution :premises (@p344 @p278) :args (@t268 @t284 @t285)) % 0.46/0.64 (step @p346 :rule cnf_equiv_pos1 :args (@t292)) % 0.46/0.64 (step @p347 :rule reordering :premises (@p346) :args ((or @t269 @t291 (not @t292)))) % 0.46/0.64 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p339) :args (@t291 @t290 (@list @t268 @t292))) % 0.46/0.64 (step @p349 :rule instantiate :premises (@p191) :args ((@list @t208 @t207 @t263))) % 0.46/0.64 (step @p350 :rule aci_norm :args ((= (or (or @t29 @t101 @t120 @t141) @t58) (or @t29 @t101 @t120 @t141 @t58)))) % 0.46/0.64 (step @p351 :rule refl :args (@t58)) % 0.46/0.65 (step @p352 :rule nary_cong :premises (@p65 @p52 @p88 @p103) :args (@t294)) % 0.46/0.65 (step @p353 :rule aci_norm :args ((= (or @t126 (or @t101 (or @t120 @t141))) @t294))) % 0.46/0.65 (step @p354 :rule trans :premises (@p353 @p352)) % 0.46/0.65 (step @p355 :rule bool-and-de-morgan :args (@t59 @t16 true)) % 0.46/0.65 (step @p356 :rule nary_cong :premises (@p52 @p355) :args ((or @t101 (not (and @t59 @t16))))) % 0.46/0.65 (step @p357 :rule bool-and-de-morgan :args (@t26 @t59 (and @t16))) % 0.46/0.65 (step @p358 :rule trans :premises (@p357 @p356)) % 0.46/0.65 (step @p359 :rule nary_cong :premises (@p73 @p358) :args ((or @t126 (not (and @t26 @t59 @t16))))) % 0.46/0.65 (step @p360 :rule bool-and-de-morgan :args (@t30 @t26 (and @t59 @t16))) % 0.46/0.65 (step @p361 :rule trans :premises (@p360 @p359)) % 0.46/0.65 (step @p362 :rule trans :premises (@p361 @p354)) % 0.46/0.65 (step @p363 :rule nary_cong :premises (@p362 @p351) :args ((or (not @t60) @t58))) % 0.46/0.65 (step @p364 :rule trans :premises (@p363 @p350)) % 0.46/0.65 (step @p365 :rule bool-impl-elim :args (@t60 @t58)) % 0.46/0.65 (step @p366 :rule trans :premises (@p365 @p364)) % 0.46/0.65 (step @p367 :rule cong :premises (@p366) :args (@t61)) % 0.46/0.65 (step @p368 :rule eq_resolve :premises (@p10 @p367)) % 0.46/0.65 (step @p369 :rule instantiate :premises (@p368) :args ((@list @t208 @t262 @t206))) % 0.46/0.65 (step @p370 :rule cnf_or_pos :args (@t296)) % 0.46/0.65 (step @p371 :rule reordering :premises (@p370) :args ((or @t282 @t277 @t271 @t267 @t295 (not @t296)))) % 0.46/0.65 (step @p372 :rule chain_m_resolution :premises (@p371 @p317 @p303 @p336 @p285 @p369) :args (@t295 (@list true false false false false) (@list @t282 @t276 @t270 @t260 @t296))) % 0.46/0.65 (step @p373 :rule cnf_or_pos :args (@t300)) % 0.46/0.65 (step @p374 :rule reordering :premises (@p373) :args ((or @t282 @t281 @t279 @t277 @t275 @t273 @t299 @t298 (not @t300)))) % 0.46/0.65 (step @p375 :rule chain_m_resolution :premises (@p374 @p317 @p315 @p309 @p303 @p297 @p291 @p372 @p349) :args (@t298 @t289 (@list @t282 @t280 @t278 @t276 @t274 @t272 @t295 @t300))) % 0.46/0.65 (step @p376 :rule cnf_or_neg :args (@t283 10)) % 0.46/0.65 (step @p377 :rule chain_m_resolution :premises (@p376 @p278) :args ((not @t264) @t284 @t285)) % 0.46/0.65 (step @p378 :rule cnf_equiv_pos2 :args (@t298)) % 0.46/0.65 (step @p379 :rule reordering :premises (@p378) :args ((or @t264 @t301 (not @t298)))) % 0.46/0.65 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p375) :args (@t301 @t302 (@list @t264 @t298))) % 0.46/0.65 (step @p381 :rule cnf_or_pos :args (@t305)) % 0.46/0.65 (step @p382 :rule reordering :premises (@p381) :args ((or @t282 @t281 @t279 @t277 @t273 @t271 @t267 @t297 @t304 @t303 @t306))) % 0.46/0.65 (step @p383 :rule chain_m_resolution :premises (@p382 @p317 @p315 @p309 @p303 @p291 @p336 @p285 @p380 @p348 @p329) :args (@t306 (@list true false false false false false false true false false) (@list @t282 @t280 @t278 @t276 @t272 @t270 @t260 @t297 @t291 @t286))) % 0.46/0.65 (assume-push @p390 @t307) % 0.46/0.65 (step @p385 :rule instantiate :premises (@p140) :args ((@list @t208 @t262 @t206 @t207))) % 0.46/0.65 (step-pop @p391 :rule scope :premises (@p385)) % 0.46/0.65 (step @p386 :rule process_scope :premises (@p391) :args (@t305)) % 0.46/0.65 (step @p388 :rule implies_elim :premises (@p386)) % 0.46/0.65 (step @p389 false :rule chain_m_resolution :premises (@p388 @p383 @p140) :args (false @t302 (@list @t305 @t307))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------