%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP620+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 : n008.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 08:21:02 AM UTC 2026 % Result : Theorem 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP620+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 % 0.17/0.34 % Computer : n008.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 01:22:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort $$unsorted 0) % 0.53/0.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.53/0.74 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k1_autgroup (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v2_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k2_funct_1 (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v3_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v4_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.74 (define @t1 () (@var "A" $$unsorted)) % 0.53/0.74 (define @t2 () (tptp.k1_autgroup @t1)) % 0.53/0.74 (define @t3 () (tptp.u1_struct_0 @t1)) % 0.53/0.74 (define @t4 () (@var "B" $$unsorted)) % 0.53/0.74 (define @t5 () (tptp.k2_funct_1 @t4)) % 0.53/0.74 (define @t6 () (tptp.m2_fraenkel @t5 @t3 @t3 @t2)) % 0.53/0.74 (define @t7 () (tptp.m2_fraenkel @t4 @t3 @t3 @t2)) % 0.53/0.74 (define @t8 () (@list @t4)) % 0.53/0.74 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.53/0.74 (define @t10 () (tptp.l1_group_1 @t1)) % 0.53/0.74 (define @t11 () (tptp.v4_group_1 @t1)) % 0.53/0.74 (define @t12 () (tptp.v3_group_1 @t1)) % 0.53/0.74 (define @t13 () (tptp.v1_group_1 @t1)) % 0.53/0.74 (define @t14 () (tptp.v3_struct_0 @t1)) % 0.53/0.74 (define @t15 () (not @t14)) % 0.53/0.74 (define @t16 () (and @t15 @t13 @t12 @t11 @t10)) % 0.53/0.74 (define @t17 () (=> @t16 @t9)) % 0.53/0.74 (define @t18 () (@list @t1)) % 0.53/0.74 (define @t19 () (forall @t18 @t17)) % 0.53/0.74 (define @t20 () (not @t19)) % 0.53/0.74 (define @t21 () (tptp.u1_group_1 @t1)) % 0.53/0.74 (define @t22 () (tptp.r2_hidden @t1 @t4)) % 0.53/0.74 (define @t23 () (@list @t1 @t4)) % 0.53/0.74 (define @t24 () (tptp.v1_funct_1 @t4)) % 0.53/0.74 (define @t25 () (tptp.m1_subset_1 @t4 @t1)) % 0.53/0.74 (define @t26 () (tptp.v1_fraenkel @t1)) % 0.53/0.74 (define @t27 () (tptp.v1_funct_1 @t1)) % 0.53/0.74 (define @t28 () (tptp.v1_xboole_0 @t1)) % 0.53/0.74 (define @t29 () (@var "C" $$unsorted)) % 0.53/0.74 (define @t30 () (tptp.v1_funct_2 @t29 @t1 @t4)) % 0.53/0.74 (define @t31 () (tptp.v1_funct_1 @t29)) % 0.53/0.74 (define @t32 () (and @t31 @t30)) % 0.53/0.74 (define @t33 () (tptp.v1_partfun1 @t29 @t1 @t4)) % 0.53/0.74 (define @t34 () (tptp.m1_relset_1 @t29 @t1 @t4)) % 0.53/0.74 (define @t35 () (@list @t1 @t4 @t29)) % 0.53/0.74 (define @t36 () (tptp.v2_group_1 @t1)) % 0.53/0.74 (define @t37 () (tptp.v1_relat_1 @t29)) % 0.53/0.74 (define @t38 () (tptp.m1_subset_1 @t29 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t4)))) % 0.53/0.74 (define @t39 () (tptp.v2_funct_1 @t1)) % 0.53/0.74 (define @t40 () (tptp.v1_relat_1 @t1)) % 0.53/0.74 (define @t41 () (and @t40 @t27 @t39)) % 0.53/0.74 (define @t42 () (and @t40 @t28 @t27)) % 0.53/0.74 (define @t43 () (@list @t29)) % 0.53/0.74 (define @t44 () (tptp.v1_xboole_0 @t4)) % 0.53/0.74 (define @t45 () (not @t44)) % 0.53/0.74 (define @t46 () (tptp.v1_xboole_0 @t29)) % 0.53/0.74 (define @t47 () (not @t46)) % 0.53/0.74 (define @t48 () (not @t28)) % 0.53/0.74 (define @t49 () (tptp.v2_funct_1 @t29)) % 0.53/0.74 (define @t50 () (tptp.v2_group_6 @t29 @t1 @t4)) % 0.53/0.74 (define @t51 () (tptp.u1_struct_0 @t4)) % 0.53/0.74 (define @t52 () (tptp.v1_group_6 @t29 @t1 @t4)) % 0.53/0.74 (define @t53 () (tptp.v1_funct_2 @t29 @t3 @t51)) % 0.53/0.74 (define @t54 () (and @t31 @t53 @t52 (tptp.m2_relset_1 @t29 @t3 @t51))) % 0.53/0.74 (define @t55 () (tptp.l1_group_1 @t4)) % 0.53/0.74 (define @t56 () (tptp.v4_group_1 @t4)) % 0.53/0.74 (define @t57 () (tptp.v3_group_1 @t4)) % 0.53/0.74 (define @t58 () (tptp.v3_struct_0 @t4)) % 0.53/0.74 (define @t59 () (not @t58)) % 0.53/0.74 (define @t60 () (and @t59 @t57 @t56 @t55)) % 0.53/0.74 (define @t61 () (and @t15 @t12 @t11 @t10)) % 0.53/0.74 (define @t62 () (and @t49 (tptp.v3_group_6 @t29 @t1 @t1))) % 0.53/0.74 (define @t63 () (= (tptp.r2_hidden @t29 @t4) @t62)) % 0.53/0.74 (define @t64 () (tptp.m2_relset_1 @t29 @t3 @t3)) % 0.53/0.74 (define @t65 () (tptp.v1_group_6 @t29 @t1 @t1)) % 0.53/0.74 (define @t66 () (tptp.v1_funct_2 @t29 @t3 @t3)) % 0.53/0.74 (define @t67 () (and @t31 @t66 @t65 @t64)) % 0.53/0.74 (define @t68 () (forall @t43 (=> @t67 @t63))) % 0.53/0.74 (define @t69 () (tptp.m2_fraenkel @t29 @t3 @t3 @t4)) % 0.53/0.74 (define @t70 () (forall @t43 (=> @t69 @t67))) % 0.53/0.74 (define @t71 () (and @t70 @t68)) % 0.53/0.74 (define @t72 () (= @t4 @t2)) % 0.53/0.74 (define @t73 () (= @t72 @t71)) % 0.53/0.74 (define @t74 () (tptp.m1_fraenkel @t4 @t3 @t3)) % 0.53/0.74 (define @t75 () (=> @t74 @t73)) % 0.53/0.74 (define @t76 () (forall @t8 @t75)) % 0.53/0.74 (define @t77 () (=> @t16 @t76)) % 0.53/0.74 (define @t78 () (forall @t18 @t77)) % 0.53/0.74 (define @t79 () (tptp.g1_group_1 @t1 @t4)) % 0.53/0.74 (define @t80 () (tptp.v1_group_1 @t79)) % 0.53/0.74 (define @t81 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.53/0.74 (define @t82 () (tptp.m1_relset_1 @t4 @t81 @t1)) % 0.53/0.74 (define @t83 () (tptp.v1_funct_2 @t4 @t81 @t1)) % 0.53/0.74 (define @t84 () (and @t24 @t83 @t82)) % 0.53/0.74 (define @t85 () (tptp.m1_fraenkel @t2 @t3 @t3)) % 0.53/0.74 (define @t86 () (forall @t18 (=> @t16 @t85))) % 0.53/0.74 (define @t87 () (tptp.k2_funct_1 @t1)) % 0.53/0.74 (define @t88 () (and @t40 @t27)) % 0.53/0.74 (define @t89 () (tptp.l1_struct_0 @t1)) % 0.53/0.74 (define @t90 () (forall @t18 (=> @t10 @t89))) % 0.53/0.74 (define @t91 () (and @t47 (tptp.v1_fraenkel @t29))) % 0.53/0.74 (define @t92 () (tptp.m1_fraenkel @t29 @t1 @t4)) % 0.53/0.74 (define @t93 () (forall @t35 (=> @t92 @t91))) % 0.53/0.74 (define @t94 () (@var "D" $$unsorted)) % 0.53/0.74 (define @t95 () (tptp.v1_funct_1 @t94)) % 0.53/0.74 (define @t96 () (and @t95 (tptp.v1_funct_2 @t94 @t1 @t4) (tptp.m2_relset_1 @t94 @t1 @t4))) % 0.53/0.74 (define @t97 () (tptp.m2_fraenkel @t94 @t1 @t4 @t29)) % 0.53/0.74 (define @t98 () (@list @t94)) % 0.53/0.74 (define @t99 () (forall @t98 (=> @t97 @t96))) % 0.53/0.74 (define @t100 () (and @t45 @t92)) % 0.53/0.74 (define @t101 () (=> @t100 @t99)) % 0.53/0.74 (define @t102 () (forall @t35 @t101)) % 0.53/0.74 (define @t103 () (tptp.m2_relset_1 @t29 @t1 @t4)) % 0.53/0.74 (define @t104 () (tptp.k2_zfmisc_1 @t3 @t3)) % 0.53/0.74 (define @t105 () (not (tptp.v1_xboole_0 @t3))) % 0.53/0.74 (define @t106 () (and @t15 @t89)) % 0.53/0.74 (define @t107 () (forall @t18 (=> @t106 @t105))) % 0.53/0.74 (define @t108 () (forall @t98 (= @t97 (tptp.m1_subset_1 @t94 @t29)))) % 0.53/0.74 (define @t109 () (forall @t35 (=> @t100 @t108))) % 0.53/0.74 (define @t110 () (tptp.m1_subset_1 @t1 @t4)) % 0.53/0.74 (define @t111 () (forall @t23 (=> @t22 @t110))) % 0.53/0.74 (define @t112 () (or @t44 @t22)) % 0.53/0.74 (define @t113 () (forall @t23 (=> @t110 @t112))) % 0.53/0.74 (define @t114 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t29))) % 0.53/0.74 (define @t115 () (= (tptp.r2_hidden @t4 @t2) (tptp.v4_group_6 @t4 @t1 @t1))) % 0.53/0.74 (define @t116 () (tptp.m2_relset_1 @t4 @t3 @t3)) % 0.53/0.74 (define @t117 () (tptp.v1_group_6 @t4 @t1 @t1)) % 0.53/0.74 (define @t118 () (tptp.v1_funct_2 @t4 @t3 @t3)) % 0.53/0.74 (define @t119 () (and @t24 @t118 @t117 @t116)) % 0.53/0.74 (define @t120 () (forall @t8 (=> @t119 @t115))) % 0.53/0.74 (define @t121 () (=> @t16 @t120)) % 0.53/0.74 (define @t122 () (forall @t18 @t121)) % 0.53/0.74 (define @t123 () (and (tptp.v1_funct_1 @t5) (tptp.v1_funct_2 @t5 @t3 @t3) (tptp.v1_group_6 @t5 @t1 @t1) (tptp.m2_relset_1 @t5 @t3 @t3))) % 0.53/0.74 (define @t124 () (forall @t8 (=> @t7 @t123))) % 0.53/0.74 (define @t125 () (=> @t16 @t124)) % 0.53/0.74 (define @t126 () (forall @t18 @t125)) % 0.53/0.74 (define @t127 () (tptp.v4_group_6 @t94 @t1 @t4)) % 0.53/0.74 (define @t128 () (tptp.k2_funct_1 @t29)) % 0.53/0.74 (define @t129 () (= @t94 @t128)) % 0.53/0.74 (define @t130 () (tptp.v4_group_6 @t29 @t4 @t1)) % 0.53/0.74 (define @t131 () (and @t130 @t129)) % 0.53/0.74 (define @t132 () (=> @t131 @t127)) % 0.53/0.74 (define @t133 () (tptp.m2_relset_1 @t94 @t3 @t51)) % 0.53/0.74 (define @t134 () (tptp.v1_group_6 @t94 @t1 @t4)) % 0.53/0.74 (define @t135 () (tptp.v1_funct_2 @t94 @t3 @t51)) % 0.53/0.74 (define @t136 () (and @t95 @t135 @t134 @t133)) % 0.53/0.74 (define @t137 () (forall @t98 (=> @t136 @t132))) % 0.53/0.74 (define @t138 () (tptp.m2_relset_1 @t29 @t51 @t3)) % 0.53/0.74 (define @t139 () (tptp.v1_group_6 @t29 @t4 @t1)) % 0.53/0.74 (define @t140 () (tptp.v1_funct_2 @t29 @t51 @t3)) % 0.53/0.74 (define @t141 () (and @t31 @t140 @t139 @t138)) % 0.53/0.74 (define @t142 () (=> @t141 @t137)) % 0.53/0.74 (define @t143 () (forall @t43 @t142)) % 0.53/0.74 (define @t144 () (=> @t60 @t143)) % 0.53/0.74 (define @t145 () (forall @t8 @t144)) % 0.53/0.74 (define @t146 () (=> @t61 @t145)) % 0.53/0.74 (define @t147 () (forall @t18 @t146)) % 0.53/0.74 (define @t148 () (not @t110)) % 0.53/0.74 (define @t149 () (@var "BOUND_VARIABLE_7808" $$unsorted)) % 0.53/0.74 (define @t150 () (tptp.m2_fraenkel (tptp.k2_funct_1 @t149) @t3 @t3 @t2)) % 0.53/0.74 (define @t151 () (not (tptp.m2_fraenkel @t149 @t3 @t3 @t2))) % 0.53/0.74 (define @t152 () (not @t10)) % 0.53/0.74 (define @t153 () (not @t11)) % 0.53/0.74 (define @t154 () (not @t12)) % 0.53/0.74 (define @t155 () (not @t13)) % 0.53/0.74 (define @t156 () (or @t14 @t155 @t154 @t153 @t152 @t151 @t150)) % 0.53/0.74 (define @t157 () (@list @t1 @t149)) % 0.53/0.74 (define @t158 () (forall @t157 @t156)) % 0.53/0.74 (define @t159 () (@quantifiers_skolemize @t158 0)) % 0.53/0.74 (define @t160 () (tptp.k1_autgroup @t159)) % 0.53/0.74 (define @t161 () (@quantifiers_skolemize @t158 1)) % 0.53/0.74 (define @t162 () (tptp.u1_struct_0 @t159)) % 0.53/0.74 (define @t163 () (or @t14 @t155 @t154 @t153 @t152)) % 0.53/0.74 (define @t164 () (not @t15)) % 0.53/0.74 (define @t165 () (or @t164 @t155 @t154 @t153 @t152)) % 0.53/0.74 (define @t166 () (or @t154 (or @t153 @t152))) % 0.53/0.74 (define @t167 () (not (and @t12 @t11 @t10))) % 0.53/0.74 (define @t168 () (not @t16)) % 0.53/0.74 (define @t169 () (@list @t159)) % 0.53/0.74 (define @t170 () (or @t151 @t150)) % 0.53/0.74 (define @t171 () (or @t14 @t155 @t154 @t153 @t152 @t170)) % 0.53/0.74 (define @t172 () (forall @t157 @t171)) % 0.53/0.74 (define @t173 () (@list @t149)) % 0.53/0.74 (define @t174 () (forall @t173 @t171)) % 0.53/0.74 (define @t175 () (forall @t173 @t170)) % 0.53/0.74 (define @t176 () (@list @t4)) % 0.53/0.74 (define @t177 () (or @t14 @t155 @t154 @t153 @t152 @t175)) % 0.53/0.74 (define @t178 () (not @t7)) % 0.53/0.74 (define @t179 () (forall @t8 (or @t178 @t6))) % 0.53/0.74 (define @t180 () (or @t14 @t155 @t154 @t153 @t152 @t179)) % 0.53/0.74 (define @t181 () (tptp.l1_group_1 @t159)) % 0.53/0.74 (define @t182 () (tptp.k2_funct_1 @t161)) % 0.53/0.74 (define @t183 () (tptp.m2_fraenkel @t182 @t162 @t162 @t160)) % 0.53/0.74 (define @t184 () (tptp.m2_fraenkel @t161 @t162 @t162 @t160)) % 0.53/0.74 (define @t185 () (not @t184)) % 0.53/0.74 (define @t186 () (not @t181)) % 0.53/0.74 (define @t187 () (tptp.v4_group_1 @t159)) % 0.53/0.74 (define @t188 () (not @t187)) % 0.53/0.74 (define @t189 () (tptp.v3_group_1 @t159)) % 0.53/0.74 (define @t190 () (not @t189)) % 0.53/0.74 (define @t191 () (tptp.v1_group_1 @t159)) % 0.53/0.74 (define @t192 () (not @t191)) % 0.53/0.74 (define @t193 () (tptp.v3_struct_0 @t159)) % 0.53/0.74 (define @t194 () (or @t193 @t192 @t190 @t188 @t186 @t185 @t183)) % 0.53/0.74 (define @t195 () (@list true)) % 0.53/0.74 (define @t196 () (@list @t194)) % 0.53/0.74 (define @t197 () (tptp.m1_fraenkel @t160 @t162 @t162)) % 0.53/0.74 (define @t198 () (or @t193 @t192 @t190 @t188 @t186 @t197)) % 0.53/0.74 (define @t199 () (tptp.v1_xboole_0 @t160)) % 0.53/0.74 (define @t200 () (not @t199)) % 0.53/0.74 (define @t201 () (and @t200 (tptp.v1_fraenkel @t160))) % 0.53/0.74 (define @t202 () (not @t197)) % 0.53/0.74 (define @t203 () (or @t202 @t201)) % 0.53/0.74 (define @t204 () (@list false false)) % 0.53/0.74 (define @t205 () (@list false)) % 0.53/0.74 (define @t206 () (@var "BOUND_VARIABLE_8354" $$unsorted)) % 0.53/0.74 (define @t207 () (= (tptp.m2_fraenkel @t206 @t1 @t4 @t29) (tptp.m1_subset_1 @t206 @t29))) % 0.53/0.74 (define @t208 () (not @t92)) % 0.53/0.74 (define @t209 () (or @t44 @t208 @t207)) % 0.53/0.74 (define @t210 () (@list @t206)) % 0.53/0.74 (define @t211 () (forall @t210 @t209)) % 0.53/0.74 (define @t212 () (forall @t210 @t207)) % 0.53/0.74 (define @t213 () (@list @t94)) % 0.53/0.74 (define @t214 () (or @t44 @t208 @t212)) % 0.53/0.74 (define @t215 () (or @t44 @t208 @t108)) % 0.53/0.74 (define @t216 () (or @t44 @t208)) % 0.53/0.74 (define @t217 () (not @t100)) % 0.53/0.74 (define @t218 () (@list @t162 @t162 @t160 @t161)) % 0.53/0.74 (define @t219 () (not @t89)) % 0.53/0.74 (define @t220 () (tptp.l1_struct_0 @t159)) % 0.53/0.74 (define @t221 () (or @t186 @t220)) % 0.53/0.74 (define @t222 () (tptp.v1_xboole_0 @t162)) % 0.53/0.74 (define @t223 () (not @t222)) % 0.53/0.74 (define @t224 () (not @t220)) % 0.53/0.74 (define @t225 () (or @t193 @t224 @t223)) % 0.53/0.74 (define @t226 () (@list true false false)) % 0.53/0.74 (define @t227 () (tptp.m1_subset_1 @t161 @t160)) % 0.53/0.74 (define @t228 () (= @t184 @t227)) % 0.53/0.74 (define @t229 () (or @t222 @t202 @t228)) % 0.53/0.74 (define @t230 () (tptp.r2_hidden @t161 @t160)) % 0.53/0.74 (define @t231 () (not @t227)) % 0.53/0.74 (define @t232 () (or @t231 @t199 @t230)) % 0.53/0.74 (define @t233 () (@var "BOUND_VARIABLE_8392" $$unsorted)) % 0.53/0.74 (define @t234 () (= (tptp.r2_hidden @t233 @t2) (tptp.v4_group_6 @t233 @t1 @t1))) % 0.53/0.74 (define @t235 () (not (tptp.m2_relset_1 @t233 @t3 @t3))) % 0.53/0.74 (define @t236 () (not (tptp.v1_group_6 @t233 @t1 @t1))) % 0.53/0.74 (define @t237 () (not (tptp.v1_funct_2 @t233 @t3 @t3))) % 0.53/0.74 (define @t238 () (not (tptp.v1_funct_1 @t233))) % 0.53/0.74 (define @t239 () (or @t14 @t155 @t154 @t153 @t152 @t238 @t237 @t236 @t235 @t234)) % 0.53/0.74 (define @t240 () (or @t238 @t237 @t236 @t235 @t234)) % 0.53/0.74 (define @t241 () (or @t14 @t155 @t154 @t153 @t152 @t240)) % 0.53/0.74 (define @t242 () (@list @t1 @t233)) % 0.53/0.74 (define @t243 () (forall @t242 @t241)) % 0.53/0.74 (define @t244 () (@list @t233)) % 0.53/0.74 (define @t245 () (forall @t244 @t241)) % 0.53/0.74 (define @t246 () (forall @t244 @t240)) % 0.53/0.74 (define @t247 () (or @t14 @t155 @t154 @t153 @t152 @t246)) % 0.53/0.74 (define @t248 () (not @t116)) % 0.53/0.74 (define @t249 () (not @t117)) % 0.53/0.74 (define @t250 () (not @t118)) % 0.53/0.74 (define @t251 () (not @t24)) % 0.53/0.74 (define @t252 () (or @t251 @t250 @t249 @t248 @t115)) % 0.53/0.74 (define @t253 () (forall @t8 @t252)) % 0.53/0.74 (define @t254 () (or @t14 @t155 @t154 @t153 @t152 @t253)) % 0.53/0.74 (define @t255 () (or @t251 @t250 @t249 @t248)) % 0.53/0.74 (define @t256 () (tptp.v4_group_6 @t161 @t159 @t159)) % 0.53/0.74 (define @t257 () (tptp.m2_relset_1 @t161 @t162 @t162)) % 0.53/0.74 (define @t258 () (not @t257)) % 0.53/0.74 (define @t259 () (tptp.v1_group_6 @t161 @t159 @t159)) % 0.53/0.74 (define @t260 () (not @t259)) % 0.53/0.74 (define @t261 () (tptp.v1_funct_2 @t161 @t162 @t162)) % 0.53/0.74 (define @t262 () (not @t261)) % 0.53/0.74 (define @t263 () (tptp.v1_funct_1 @t161)) % 0.53/0.74 (define @t264 () (not @t263)) % 0.53/0.74 (define @t265 () (or @t193 @t192 @t190 @t188 @t186 @t264 @t262 @t260 @t258 (= @t230 @t256))) % 0.53/0.74 (define @t266 () (forall @t242 @t239)) % 0.53/0.74 (define @t267 () (@list @t159 @t161)) % 0.53/0.74 (define @t268 () (= @t256 @t230)) % 0.53/0.74 (define @t269 () (or @t193 @t192 @t190 @t188 @t186 @t264 @t262 @t260 @t258 @t268)) % 0.53/0.74 (define @t270 () (@list @t266)) % 0.53/0.74 (define @t271 () (@var "BOUND_VARIABLE_8091" $$unsorted)) % 0.53/0.74 (define @t272 () (tptp.r2_hidden @t29 @t271)) % 0.53/0.74 (define @t273 () (not @t64)) % 0.53/0.74 (define @t274 () (not @t65)) % 0.53/0.74 (define @t275 () (not @t66)) % 0.53/0.74 (define @t276 () (not @t31)) % 0.53/0.74 (define @t277 () (or @t276 @t275 @t274 @t273 (= @t272 @t62))) % 0.53/0.74 (define @t278 () (forall @t43 @t277)) % 0.53/0.74 (define @t279 () (forall @t43 (or (not (tptp.m2_fraenkel @t29 @t3 @t3 @t271)) @t67))) % 0.53/0.74 (define @t280 () (and @t279 @t278)) % 0.53/0.74 (define @t281 () (= (= @t271 @t2) @t280)) % 0.53/0.74 (define @t282 () (not (tptp.m1_fraenkel @t271 @t3 @t3))) % 0.53/0.74 (define @t283 () (or @t14 @t155 @t154 @t153 @t152 @t282 @t281)) % 0.53/0.74 (define @t284 () (or @t282 @t281)) % 0.53/0.74 (define @t285 () (or @t14 @t155 @t154 @t153 @t152 @t284)) % 0.53/0.74 (define @t286 () (@list @t1 @t271)) % 0.53/0.74 (define @t287 () (forall @t286 @t285)) % 0.53/0.74 (define @t288 () (@list @t271)) % 0.53/0.74 (define @t289 () (forall @t288 @t285)) % 0.53/0.74 (define @t290 () (forall @t288 @t284)) % 0.53/0.74 (define @t291 () (or @t14 @t155 @t154 @t153 @t152 @t290)) % 0.53/0.74 (define @t292 () (or @t276 @t275 @t274 @t273 @t63)) % 0.53/0.74 (define @t293 () (= @t72 (and (forall @t43 (or (not @t69) @t67)) (forall @t43 @t292)))) % 0.53/0.74 (define @t294 () (forall @t8 (or (not @t74) @t293))) % 0.53/0.74 (define @t295 () (or @t14 @t155 @t154 @t153 @t152 @t294)) % 0.53/0.74 (define @t296 () (or @t276 @t275 @t274 @t273)) % 0.53/0.74 (define @t297 () (tptp.m2_relset_1 @t29 @t162 @t162)) % 0.53/0.74 (define @t298 () (tptp.v1_group_6 @t29 @t159 @t159)) % 0.53/0.74 (define @t299 () (tptp.v1_funct_2 @t29 @t162 @t162)) % 0.53/0.74 (define @t300 () (forall @t43 (or (not (tptp.m2_fraenkel @t29 @t162 @t162 @t160)) (and @t31 @t299 @t298 @t297)))) % 0.53/0.74 (define @t301 () (and @t300 (forall @t43 (or @t276 (not @t299) (not @t298) (not @t297) (= (and @t49 (tptp.v3_group_6 @t29 @t159 @t159)) (tptp.r2_hidden @t29 @t160)))))) % 0.53/0.74 (define @t302 () (= (= @t160 @t160) @t301)) % 0.53/0.74 (define @t303 () (or @t193 @t192 @t190 @t188 @t186 @t202 @t302)) % 0.53/0.74 (define @t304 () (forall @t286 (or @t14 @t155 @t154 @t153 @t152 @t282 (= (= @t2 @t271) (and @t279 (forall @t43 (or @t276 @t275 @t274 @t273 (= @t62 @t272)))))))) % 0.53/0.74 (define @t305 () (or @t193 @t192 @t190 @t188 @t186 @t202 @t301)) % 0.53/0.74 (define @t306 () (@list true false false false false false false)) % 0.53/0.74 (define @t307 () (and @t263 @t261 @t259 @t257)) % 0.53/0.74 (define @t308 () (or @t185 @t307)) % 0.53/0.74 (define @t309 () (@var "BOUND_VARIABLE_8152" $$unsorted)) % 0.53/0.74 (define @t310 () (and (tptp.v1_funct_1 @t309) (tptp.v1_funct_2 @t309 @t1 @t4) (tptp.m2_relset_1 @t309 @t1 @t4))) % 0.53/0.74 (define @t311 () (not (tptp.m2_fraenkel @t309 @t1 @t4 @t29))) % 0.53/0.74 (define @t312 () (or @t311 @t310)) % 0.53/0.74 (define @t313 () (or @t44 @t208 @t312)) % 0.53/0.74 (define @t314 () (forall (@list @t1 @t4 @t29 @t309) @t313)) % 0.53/0.74 (define @t315 () (@list @t309)) % 0.53/0.74 (define @t316 () (forall @t315 @t313)) % 0.53/0.74 (define @t317 () (forall @t315 @t312)) % 0.53/0.74 (define @t318 () (or @t44 @t208 @t317)) % 0.53/0.74 (define @t319 () (forall @t98 (or (not @t97) @t96))) % 0.53/0.74 (define @t320 () (or @t44 @t208 @t319)) % 0.53/0.74 (define @t321 () (and @t263 @t261 @t257)) % 0.53/0.74 (define @t322 () (or @t222 @t202 @t185 @t321)) % 0.53/0.74 (define @t323 () (not @t321)) % 0.53/0.74 (define @t324 () (@list @t321)) % 0.53/0.74 (define @t325 () (@list true false false false false false false false false false)) % 0.53/0.74 (define @t326 () (@var "BOUND_VARIABLE_8518" $$unsorted)) % 0.53/0.74 (define @t327 () (@var "BOUND_VARIABLE_8520" $$unsorted)) % 0.53/0.74 (define @t328 () (tptp.k2_funct_1 @t327)) % 0.53/0.74 (define @t329 () (tptp.v4_group_6 @t328 @t1 @t326)) % 0.53/0.74 (define @t330 () (tptp.u1_struct_0 @t326)) % 0.53/0.74 (define @t331 () (not (tptp.m2_relset_1 @t328 @t3 @t330))) % 0.53/0.74 (define @t332 () (not (tptp.v1_group_6 @t328 @t1 @t326))) % 0.53/0.74 (define @t333 () (not (tptp.v1_funct_2 @t328 @t3 @t330))) % 0.53/0.74 (define @t334 () (not (tptp.v1_funct_1 @t328))) % 0.53/0.74 (define @t335 () (not (tptp.v4_group_6 @t327 @t326 @t1))) % 0.53/0.74 (define @t336 () (not (tptp.m2_relset_1 @t327 @t330 @t3))) % 0.53/0.74 (define @t337 () (not (tptp.v1_group_6 @t327 @t326 @t1))) % 0.53/0.74 (define @t338 () (not (tptp.v1_funct_2 @t327 @t330 @t3))) % 0.53/0.74 (define @t339 () (not (tptp.v1_funct_1 @t327))) % 0.53/0.74 (define @t340 () (not (tptp.l1_group_1 @t326))) % 0.53/0.74 (define @t341 () (not (tptp.v4_group_1 @t326))) % 0.53/0.74 (define @t342 () (not (tptp.v3_group_1 @t326))) % 0.53/0.74 (define @t343 () (tptp.v3_struct_0 @t326)) % 0.53/0.74 (define @t344 () (or @t343 @t342 @t341 @t340 @t339 @t338 @t337 @t336 @t335 @t334 @t333 @t332 @t331 @t329)) % 0.53/0.74 (define @t345 () (or @t14 @t154 @t153 @t152 @t344)) % 0.53/0.74 (define @t346 () (forall (@list @t1 @t326 @t327) @t345)) % 0.53/0.74 (define @t347 () (@list @t326 @t327)) % 0.53/0.74 (define @t348 () (forall @t347 @t345)) % 0.53/0.74 (define @t349 () (forall @t347 @t344)) % 0.53/0.74 (define @t350 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 0.53/0.74 (define @t351 () (or @t14 @t154 @t153 @t152 @t349)) % 0.53/0.74 (define @t352 () (tptp.k2_funct_1 @t350)) % 0.53/0.74 (define @t353 () (tptp.v4_group_6 @t352 @t1 @t4)) % 0.53/0.74 (define @t354 () (not (tptp.m2_relset_1 @t352 @t3 @t51))) % 0.53/0.74 (define @t355 () (not (tptp.v1_group_6 @t352 @t1 @t4))) % 0.53/0.74 (define @t356 () (not (tptp.v1_funct_2 @t352 @t3 @t51))) % 0.53/0.74 (define @t357 () (not (tptp.v1_funct_1 @t352))) % 0.53/0.74 (define @t358 () (not (tptp.v4_group_6 @t350 @t4 @t1))) % 0.53/0.74 (define @t359 () (not (tptp.m2_relset_1 @t350 @t51 @t3))) % 0.53/0.74 (define @t360 () (not (tptp.v1_group_6 @t350 @t4 @t1))) % 0.53/0.74 (define @t361 () (not (tptp.v1_funct_2 @t350 @t51 @t3))) % 0.53/0.74 (define @t362 () (not (tptp.v1_funct_1 @t350))) % 0.53/0.74 (define @t363 () (not @t55)) % 0.53/0.74 (define @t364 () (not @t56)) % 0.53/0.74 (define @t365 () (not @t57)) % 0.53/0.74 (define @t366 () (or @t58 @t365 @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t357 @t356 @t355 @t354 @t353)) % 0.53/0.74 (define @t367 () (@list @t4 @t350)) % 0.53/0.74 (define @t368 () (forall @t367 @t366)) % 0.53/0.74 (define @t369 () (or @t14 @t154 @t153 @t152 @t368)) % 0.53/0.74 (define @t370 () (or @t164 @t154 @t153 @t152)) % 0.53/0.74 (define @t371 () (or @t362 @t361 @t360 @t359 @t358 @t357 @t356 @t355 @t354 @t353)) % 0.53/0.74 (define @t372 () (or @t58 @t365 @t364 @t363 @t371)) % 0.53/0.74 (define @t373 () (forall @t367 @t372)) % 0.53/0.74 (define @t374 () (@list @t350)) % 0.53/0.74 (define @t375 () (forall @t374 @t372)) % 0.53/0.74 (define @t376 () (forall @t374 @t371)) % 0.53/0.74 (define @t377 () (or @t58 @t365 @t364 @t363 @t376)) % 0.53/0.74 (define @t378 () (tptp.v4_group_6 @t128 @t1 @t4)) % 0.53/0.74 (define @t379 () (not (tptp.m2_relset_1 @t128 @t3 @t51))) % 0.53/0.74 (define @t380 () (not (tptp.v1_group_6 @t128 @t1 @t4))) % 0.53/0.74 (define @t381 () (not (tptp.v1_funct_2 @t128 @t3 @t51))) % 0.53/0.74 (define @t382 () (not (tptp.v1_funct_1 @t128))) % 0.53/0.74 (define @t383 () (not @t130)) % 0.53/0.74 (define @t384 () (not @t138)) % 0.53/0.74 (define @t385 () (not @t139)) % 0.53/0.74 (define @t386 () (not @t140)) % 0.53/0.74 (define @t387 () (or @t276 @t386 @t385 @t384 @t383 @t382 @t381 @t380 @t379 @t378)) % 0.53/0.74 (define @t388 () (forall @t43 @t387)) % 0.53/0.74 (define @t389 () (or @t58 @t365 @t364 @t363 @t388)) % 0.53/0.74 (define @t390 () (not @t59)) % 0.53/0.74 (define @t391 () (or @t390 @t365 @t364 @t363)) % 0.53/0.74 (define @t392 () (or @t383 @t382 @t381 @t380 @t379 @t378)) % 0.53/0.74 (define @t393 () (or @t276 @t386 @t385 @t384)) % 0.53/0.74 (define @t394 () (or @t382 @t381 @t380 @t379 @t378)) % 0.53/0.74 (define @t395 () (not (= @t128 @t128))) % 0.53/0.74 (define @t396 () (or @t382 @t381 @t380 @t379 @t395 @t378)) % 0.53/0.74 (define @t397 () (not @t129)) % 0.53/0.74 (define @t398 () (not @t133)) % 0.53/0.74 (define @t399 () (not @t134)) % 0.53/0.74 (define @t400 () (not @t135)) % 0.53/0.74 (define @t401 () (not @t95)) % 0.53/0.74 (define @t402 () (or @t397 @t401 @t400 @t399 @t398 @t397 @t127)) % 0.53/0.74 (define @t403 () (or @t401 @t400 @t399 @t398 @t397 @t127)) % 0.53/0.74 (define @t404 () (forall @t98 @t403)) % 0.53/0.74 (define @t405 () (or @t383 @t404)) % 0.53/0.74 (define @t406 () (or @t383 @t403)) % 0.53/0.74 (define @t407 () (or @t401 @t400 @t399 @t398 @t383 @t397 @t127)) % 0.53/0.74 (define @t408 () (or @t383 @t397 @t127)) % 0.53/0.74 (define @t409 () (or @t401 @t400 @t399 @t398)) % 0.53/0.74 (define @t410 () (tptp.r2_hidden @t182 @t160)) % 0.53/0.74 (define @t411 () (tptp.v4_group_6 @t182 @t159 @t159)) % 0.53/0.74 (define @t412 () (tptp.m2_relset_1 @t182 @t162 @t162)) % 0.53/0.74 (define @t413 () (not @t412)) % 0.53/0.74 (define @t414 () (tptp.v1_group_6 @t182 @t159 @t159)) % 0.53/0.74 (define @t415 () (not @t414)) % 0.53/0.74 (define @t416 () (tptp.v1_funct_2 @t182 @t162 @t162)) % 0.53/0.74 (define @t417 () (not @t416)) % 0.53/0.74 (define @t418 () (tptp.v1_funct_1 @t182)) % 0.53/0.74 (define @t419 () (not @t418)) % 0.53/0.74 (define @t420 () (or @t193 @t192 @t190 @t188 @t186 @t419 @t417 @t415 @t413 (= @t410 @t411))) % 0.53/0.74 (define @t421 () (= @t411 @t410)) % 0.53/0.74 (define @t422 () (or @t193 @t192 @t190 @t188 @t186 @t419 @t417 @t415 @t413 @t421)) % 0.53/0.74 (define @t423 () (@var "BOUND_VARIABLE_8421" $$unsorted)) % 0.53/0.74 (define @t424 () (tptp.k2_funct_1 @t423)) % 0.53/0.74 (define @t425 () (and (tptp.v1_funct_1 @t424) (tptp.v1_funct_2 @t424 @t3 @t3) (tptp.v1_group_6 @t424 @t1 @t1) (tptp.m2_relset_1 @t424 @t3 @t3))) % 0.53/0.74 (define @t426 () (not (tptp.m2_fraenkel @t423 @t3 @t3 @t2))) % 0.53/0.74 (define @t427 () (or @t426 @t425)) % 0.53/0.74 (define @t428 () (or @t14 @t155 @t154 @t153 @t152 @t427)) % 0.53/0.74 (define @t429 () (forall (@list @t1 @t423) @t428)) % 0.53/0.74 (define @t430 () (@list @t423)) % 0.53/0.74 (define @t431 () (forall @t430 @t428)) % 0.53/0.74 (define @t432 () (forall @t430 @t427)) % 0.53/0.74 (define @t433 () (or @t14 @t155 @t154 @t153 @t152 @t432)) % 0.53/0.74 (define @t434 () (forall @t8 (or @t178 @t123))) % 0.53/0.74 (define @t435 () (or @t14 @t155 @t154 @t153 @t152 @t434)) % 0.53/0.74 (define @t436 () (and @t418 @t416 @t414 @t412)) % 0.53/0.74 (define @t437 () (or @t193 @t192 @t190 @t188 @t186 @t185 @t436)) % 0.53/0.74 (define @t438 () (not @t436)) % 0.53/0.74 (define @t439 () (@list @t436)) % 0.53/0.74 (define @t440 () (tptp.m1_subset_1 @t182 @t160)) % 0.53/0.74 (define @t441 () (= @t183 @t440)) % 0.53/0.74 (define @t442 () (or @t222 @t202 @t441)) % 0.53/0.74 (define @t443 () (not @t440)) % 0.53/0.74 (define @t444 () (@list true false)) % 0.53/0.74 (define @t445 () (not @t410)) % 0.53/0.74 (define @t446 () (or @t445 @t440)) % 0.53/0.74 (define @t447 () (not @t411)) % 0.53/0.74 (define @t448 () (not @t256)) % 0.53/0.74 (define @t449 () (or @t193 @t190 @t188 @t186 @t193 @t190 @t188 @t186 @t264 @t262 @t260 @t258 @t448 @t419 @t417 @t415 @t413 @t411)) % 0.53/0.74 (assume @p1 @t20) % 0.53/0.74 (assume @p2 (forall @t18 (=> @t10 (=> @t13 (= @t1 (tptp.g1_group_1 @t3 @t21)))))) % 0.53/0.74 (assume @p3 (forall @t23 (=> @t22 (not (tptp.r2_hidden @t4 @t1))))) % 0.53/0.74 (assume @p4 (forall @t18 (=> @t26 (forall @t8 (=> @t25 (and (tptp.v1_relat_1 @t4) @t24)))))) % 0.53/0.74 (assume @p5 (forall @t18 (=> @t28 @t27))) % 0.53/0.74 (assume @p6 (forall @t35 (=> @t34 (=> (and @t31 @t33) @t32)))) % 0.53/0.74 (assume @p7 (forall @t18 (=> @t10 (=> (and @t15 @t12) (and @t15 @t36))))) % 0.53/0.74 (assume @p8 (forall @t35 (=> @t38 @t37))) % 0.53/0.74 (assume @p9 (forall @t18 (=> @t42 @t41))) % 0.53/0.74 (assume @p10 (forall @t23 (=> @t45 (forall @t43 (=> @t34 (=> @t32 (and @t31 @t33 @t30))))))) % 0.53/0.74 (assume @p11 (forall @t23 (=> (and @t48 @t45) (forall @t43 (=> @t34 (=> @t32 (and @t31 @t47 @t33 @t30))))))) % 0.53/0.74 (assume @p12 (forall @t18 (=> @t61 (forall @t8 (=> @t60 (forall @t43 (=> @t54 (= @t50 @t49)))))))) % 0.53/0.74 (assume @p13 (forall @t18 (=> @t61 (forall @t8 (=> @t60 (forall @t43 (=> @t54 (= (tptp.v4_group_6 @t29 @t1 @t4) (and (tptp.v3_group_6 @t29 @t1 @t4) @t50))))))))) % 0.53/0.74 (assume @p14 @t78) % 0.53/0.74 (assume @p15 (forall @t23 (=> @t84 (and @t80 (tptp.l1_group_1 @t79))))) % 0.53/0.74 (assume @p16 @t86) % 0.53/0.74 (assume @p17 true) % 0.53/0.74 (assume @p18 (forall @t18 (=> @t88 (and (tptp.v1_relat_1 @t87) (tptp.v1_funct_1 @t87))))) % 0.53/0.74 (assume @p19 @t90) % 0.53/0.74 (assume @p20 @t93) % 0.53/0.74 (assume @p21 @t102) % 0.53/0.74 (assume @p22 (forall @t35 (=> @t103 @t38))) % 0.53/0.74 (assume @p23 (forall @t18 (=> @t10 (and (tptp.v1_funct_1 @t21) (tptp.v1_funct_2 @t21 @t104 @t3) (tptp.m2_relset_1 @t21 @t104 @t3))))) % 0.53/0.74 (assume @p24 (exists @t18 @t10)) % 0.53/0.74 (assume @p25 (exists @t18 @t89)) % 0.53/0.74 (assume @p26 (forall @t23 (exists @t43 @t92))) % 0.53/0.74 (assume @p27 (forall @t23 (exists @t43 @t34))) % 0.53/0.74 (assume @p28 (forall @t18 (exists @t8 @t25))) % 0.53/0.74 (assume @p29 (forall @t35 (=> @t100 (exists @t98 @t97)))) % 0.53/0.74 (assume @p30 (forall @t23 (exists @t43 @t103))) % 0.53/0.74 (assume @p31 (forall @t23 (=> (and @t48 @t24 @t83 @t82) (and (not (tptp.v3_struct_0 @t79)) @t80)))) % 0.53/0.74 (assume @p32 @t107) % 0.53/0.74 (assume @p33 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.53/0.74 (assume @p34 (forall @t23 (=> @t84 (forall (@list @t29 @t94) (=> (= @t79 (tptp.g1_group_1 @t29 @t94)) (and (= @t1 @t29) (= @t4 @t94))))))) % 0.53/0.74 (assume @p35 (exists @t18 (and @t48 @t26))) % 0.53/0.74 (assume @p36 (exists @t18 @t88)) % 0.53/0.74 (assume @p37 (forall @t23 (exists @t43 (and @t34 @t37 @t31 @t30)))) % 0.53/0.74 (assume @p38 (exists @t18 (and @t10 @t13))) % 0.53/0.74 (assume @p39 (exists @t18 (and @t40 @t27 @t39 @t28))) % 0.53/0.74 (assume @p40 (exists @t18 @t28)) % 0.53/0.74 (assume @p41 (exists @t18 @t42)) % 0.53/0.74 (assume @p42 (exists @t18 (and @t10 @t15 @t13))) % 0.53/0.74 (assume @p43 (forall @t23 (=> (and @t15 @t12 @t11 @t10 @t59 @t57 @t56 @t55) (exists @t43 (and (tptp.m1_relset_1 @t29 @t3 @t51) @t47 @t37 @t31 @t53 (tptp.v1_partfun1 @t29 @t3 @t51) @t52))))) % 0.53/0.74 (assume @p44 (forall @t23 (exists @t43 (and @t34 @t37 @t31)))) % 0.53/0.74 (assume @p45 (exists @t18 @t48)) % 0.53/0.74 (assume @p46 (exists @t18 @t41)) % 0.53/0.74 (assume @p47 (exists @t18 (and @t10 @t15 @t13 @t36 @t12 @t11))) % 0.53/0.74 (assume @p48 (exists @t18 (and @t89 @t15))) % 0.53/0.74 (assume @p49 (forall @t18 (=> @t106 (exists @t8 (and (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t3)) @t45))))) % 0.53/0.74 (assume @p50 @t109) % 0.53/0.74 (assume @p51 (forall @t35 (= @t103 @t34))) % 0.53/0.74 (assume @p52 (forall @t23 (tptp.r1_tarski @t1 @t1))) % 0.53/0.74 (assume @p53 @t111) % 0.53/0.74 (assume @p54 @t113) % 0.53/0.74 (assume @p55 (forall @t23 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t1 @t4)))) % 0.53/0.74 (assume @p56 (forall @t35 (=> (and @t22 @t114) (tptp.m1_subset_1 @t1 @t29)))) % 0.53/0.74 (assume @p57 @t122) % 0.53/0.74 (assume @p58 (forall @t35 (not (and @t22 @t114 @t46)))) % 0.53/0.74 (assume @p59 @t126) % 0.53/0.74 (assume @p60 (forall @t18 (=> @t28 (= @t1 tptp.k1_xboole_0)))) % 0.53/0.74 (assume @p61 @t147) % 0.53/0.74 (assume @p62 (forall @t23 (not (and @t22 @t44)))) % 0.53/0.74 (assume @p63 (forall @t23 (not (and @t28 (not (= @t1 @t4)) @t44)))) % 0.53/0.74 (step @p64 :rule aci_norm :args ((= (or @t148 @t112) (or @t148 @t44 @t22)))) % 0.53/0.74 (step @p65 :rule bool-impl-elim :args (@t110 @t112)) % 0.53/0.74 (step @p66 :rule trans :premises (@p65 @p64)) % 0.53/0.74 (step @p67 :rule cong :premises (@p66) :args (@t113)) % 0.53/0.74 (step @p68 :rule eq_resolve :premises (@p54 @p67)) % 0.53/0.74 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t161 @t160))) % 0.53/0.74 (step @p70 :rule bool-impl-elim :args (@t92 @t91)) % 0.53/0.74 (step @p71 :rule cong :premises (@p70) :args (@t93)) % 0.53/0.74 (step @p72 :rule eq_resolve :premises (@p20 @p71)) % 0.53/0.74 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t162 @t162 @t160))) % 0.53/0.74 (step @p74 :rule aci_norm :args ((= (or @t163 @t85) (or @t14 @t155 @t154 @t153 @t152 @t85)))) % 0.53/0.74 (step @p75 :rule refl :args (@t85)) % 0.53/0.74 (step @p76 :rule refl :args (@t152)) % 0.53/0.74 (step @p77 :rule refl :args (@t153)) % 0.53/0.74 (step @p78 :rule refl :args (@t154)) % 0.53/0.74 (step @p79 :rule refl :args (@t155)) % 0.53/0.74 (step @p80 :rule bool-double-not-elim :args (@t14)) % 0.53/0.74 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76) :args (@t165)) % 0.53/0.74 (step @p82 :rule aci_norm :args ((= (or @t164 (or @t155 @t166)) @t165))) % 0.53/0.74 (step @p83 :rule trans :premises (@p82 @p81)) % 0.53/0.74 (step @p84 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.53/0.74 (step @p85 :rule nary_cong :premises (@p78 @p84) :args ((or @t154 (not (and @t11 @t10))))) % 0.53/0.74 (step @p86 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10))) % 0.53/0.74 (step @p87 :rule trans :premises (@p86 @p85)) % 0.53/0.74 (step @p88 :rule nary_cong :premises (@p79 @p87) :args ((or @t155 @t167))) % 0.53/0.74 (step @p89 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10))) % 0.53/0.74 (step @p90 :rule trans :premises (@p89 @p88)) % 0.53/0.74 (step @p91 :rule refl :args (@t164)) % 0.53/0.74 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t164 (not (and @t13 @t12 @t11 @t10))))) % 0.53/0.74 (step @p93 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12 @t11 @t10))) % 0.53/0.74 (step @p94 :rule trans :premises (@p93 @p92)) % 0.53/0.74 (step @p95 :rule trans :premises (@p94 @p83)) % 0.53/0.74 (step @p96 :rule nary_cong :premises (@p95 @p75) :args ((or @t168 @t85))) % 0.53/0.74 (step @p97 :rule trans :premises (@p96 @p74)) % 0.53/0.74 (step @p98 :rule bool-impl-elim :args (@t16 @t85)) % 0.53/0.74 (step @p99 :rule trans :premises (@p98 @p97)) % 0.53/0.74 (step @p100 :rule cong :premises (@p99) :args (@t86)) % 0.53/0.74 (step @p101 :rule eq_resolve :premises (@p16 @p100)) % 0.53/0.74 (step @p102 :rule instantiate :premises (@p101) :args (@t169)) % 0.53/0.74 (step @p103 :rule aci_norm :args ((= @t171 @t156))) % 0.53/0.74 (step @p104 :rule cong :premises (@p103) :args (@t172)) % 0.53/0.74 (step @p105 :rule quant-merge-prenex :args ((= (forall @t18 @t174) @t172))) % 0.53/0.74 (step @p106 :rule alpha_equiv :args (@t175 (@list @t149) @t176)) % 0.53/0.74 (step @p107 :rule refl :args (@t14)) % 0.53/0.74 (step @p108 :rule nary_cong :premises (@p107 @p79 @p78 @p77 @p76 @p106) :args (@t177)) % 0.53/0.74 (step @p109 :rule quant-miniscope-or :args ((= @t174 @t177))) % 0.53/0.74 (step @p110 :rule trans :premises (@p109 @p108)) % 0.53/0.74 (step @p111 :rule symm :premises (@p110)) % 0.53/0.74 (step @p112 :rule cong :premises (@p111) :args ((forall @t18 @t180))) % 0.53/0.74 (step @p113 :rule trans :premises (@p112 @p105)) % 0.53/0.74 (step @p114 :rule trans :premises (@p113 @p104)) % 0.53/0.74 (step @p115 :rule aci_norm :args ((= (or @t163 @t179) @t180))) % 0.53/0.74 (step @p116 :rule refl :args (@t179)) % 0.53/0.74 (step @p117 :rule nary_cong :premises (@p95 @p116) :args ((or @t168 @t179))) % 0.53/0.74 (step @p118 :rule trans :premises (@p117 @p115)) % 0.53/0.74 (step @p119 :rule bool-impl-elim :args (@t16 @t179)) % 0.53/0.74 (step @p120 :rule trans :premises (@p119 @p118)) % 0.53/0.74 (step @p121 :rule cong :premises (@p120) :args ((forall @t18 (=> @t16 @t179)))) % 0.53/0.74 (step @p122 :rule trans :premises (@p121 @p114)) % 0.53/0.74 (step @p123 :rule bool-impl-elim :args (@t7 @t6)) % 0.53/0.74 (step @p124 :rule cong :premises (@p123) :args (@t9)) % 0.53/0.74 (step @p125 :rule refl :args (@t16)) % 0.53/0.74 (step @p126 :rule cong :premises (@p125 @p124) :args (@t17)) % 0.53/0.74 (step @p127 :rule cong :premises (@p126) :args (@t19)) % 0.53/0.74 (step @p128 :rule trans :premises (@p127 @p122)) % 0.53/0.74 (step @p129 :rule cong :premises (@p128) :args (@t20)) % 0.53/0.74 (step @p130 :rule eq_resolve :premises (@p1 @p129)) % 0.53/0.74 (step @p131 :rule skolemize :premises (@p130)) % 0.53/0.74 (step @p132 :rule bool-double-not-elim :args (@t181)) % 0.53/0.74 (step @p133 :rule refl :args (@t194)) % 0.53/0.74 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t194 (not @t186)))) % 0.53/0.74 (step @p135 :rule cnf_or_neg :args (@t194 4)) % 0.53/0.74 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.53/0.74 (step @p137 :rule reordering :premises (@p136) :args ((or @t181 @t194))) % 0.53/0.74 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t181 @t195 @t196)) % 0.53/0.74 (step @p139 :rule bool-double-not-elim :args (@t187)) % 0.53/0.74 (step @p140 :rule nary_cong :premises (@p133 @p139) :args ((or @t194 (not @t188)))) % 0.53/0.74 (step @p141 :rule cnf_or_neg :args (@t194 3)) % 0.53/0.74 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.53/0.74 (step @p143 :rule reordering :premises (@p142) :args ((or @t187 @t194))) % 0.53/0.74 (step @p144 :rule chain_m_resolution :premises (@p143 @p131) :args (@t187 @t195 @t196)) % 0.53/0.74 (step @p145 :rule bool-double-not-elim :args (@t189)) % 0.53/0.74 (step @p146 :rule nary_cong :premises (@p133 @p145) :args ((or @t194 (not @t190)))) % 0.53/0.74 (step @p147 :rule cnf_or_neg :args (@t194 2)) % 0.53/0.74 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.53/0.74 (step @p149 :rule reordering :premises (@p148) :args ((or @t189 @t194))) % 0.53/0.74 (step @p150 :rule chain_m_resolution :premises (@p149 @p131) :args (@t189 @t195 @t196)) % 0.53/0.74 (step @p151 :rule bool-double-not-elim :args (@t191)) % 0.53/0.74 (step @p152 :rule nary_cong :premises (@p133 @p151) :args ((or @t194 (not @t192)))) % 0.53/0.74 (step @p153 :rule cnf_or_neg :args (@t194 1)) % 0.53/0.74 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.53/0.74 (step @p155 :rule reordering :premises (@p154) :args ((or @t191 @t194))) % 0.53/0.74 (step @p156 :rule chain_m_resolution :premises (@p155 @p131) :args (@t191 @t195 @t196)) % 0.53/0.74 (step @p157 :rule cnf_or_neg :args (@t194 0)) % 0.53/0.74 (step @p158 :rule chain_m_resolution :premises (@p157 @p131) :args ((not @t193) @t195 @t196)) % 0.53/0.74 (step @p159 :rule cnf_or_pos :args (@t198)) % 0.53/0.74 (step @p160 :rule reordering :premises (@p159) :args ((or @t193 @t192 @t190 @t188 @t186 @t197 (not @t198)))) % 0.53/0.74 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p156 @p150 @p144 @p138 @p102) :args (@t197 (@list true false false false false false) (@list @t193 @t191 @t189 @t187 @t181 @t198))) % 0.53/0.74 (step @p162 :rule cnf_or_pos :args (@t203)) % 0.53/0.74 (step @p163 :rule reordering :premises (@p162) :args ((or @t202 @t201 (not @t203)))) % 0.53/0.74 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p73) :args (@t201 @t204 (@list @t197 @t203))) % 0.53/0.74 (step @p165 :rule cnf_and_pos :args (@t201 0)) % 0.53/0.74 (step @p166 :rule reordering :premises (@p165) :args ((or @t200 (not @t201)))) % 0.53/0.74 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t200 @t205 (@list @t201))) % 0.53/0.74 (step @p168 :rule quant-merge-prenex :args ((= (forall @t35 @t211) (forall (@list @t1 @t4 @t29 @t206) @t209)))) % 0.53/0.74 (step @p169 :rule alpha_equiv :args (@t212 (@list @t206) @t213)) % 0.53/0.74 (step @p170 :rule refl :args (@t208)) % 0.53/0.74 (step @p171 :rule refl :args (@t44)) % 0.53/0.74 (step @p172 :rule nary_cong 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:rule chain_m_resolution :premises (@p635 @p158 @p156 @p150 @p144 @p138 @p633 @p630 @p627 @p624 @p592) :args (@t421 @t325 (@list @t193 @t191 @t189 @t187 @t181 @t418 @t416 @t414 @t412 @t422))) % 0.53/0.74 (step @p637 :rule bool-impl-elim :args (@t22 @t110)) % 0.53/0.74 (step @p638 :rule cong :premises (@p637) :args (@t111)) % 0.53/0.74 (step @p639 :rule eq_resolve :premises (@p53 @p638)) % 0.53/0.74 (step @p640 :rule instantiate :premises (@p639) :args ((@list @t182 @t160))) % 0.53/0.74 (step @p641 :rule instantiate :premises (@p190) :args ((@list @t162 @t162 @t160 @t182))) % 0.53/0.74 (step @p642 :rule cnf_or_pos :args (@t442)) % 0.53/0.74 (step @p643 :rule reordering :premises (@p642) :args ((or @t222 @t202 @t441 (not @t442)))) % 0.53/0.74 (step @p644 :rule chain_m_resolution :premises (@p643 @p214 @p161 @p641) :args (@t441 @t226 (@list @t222 @t197 @t442))) % 0.53/0.74 (step @p645 :rule cnf_or_neg :args (@t194 6)) % 0.53/0.74 (step @p646 :rule chain_m_resolution :premises (@p645 @p131) :args ((not @t183) @t195 @t196)) % 0.53/0.74 (step @p647 :rule cnf_equiv_pos2 :args (@t441)) % 0.53/0.74 (step @p648 :rule reordering :premises (@p647) :args ((or @t183 @t443 (not @t441)))) % 0.53/0.74 (step @p649 :rule chain_m_resolution :premises (@p648 @p646 @p644) :args (@t443 @t444 (@list @t183 @t441))) % 0.53/0.74 (step @p650 :rule cnf_or_pos :args (@t446)) % 0.53/0.74 (step @p651 :rule reordering :premises (@p650) :args ((or @t440 @t445 (not @t446)))) % 0.53/0.74 (step @p652 :rule chain_m_resolution :premises (@p651 @p649 @p640) :args (@t445 @t444 (@list @t440 @t446))) % 0.53/0.74 (step @p653 :rule cnf_equiv_pos1 :args (@t421)) % 0.53/0.74 (step @p654 :rule reordering :premises (@p653) :args ((or @t410 @t447 (not @t421)))) % 0.53/0.74 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p636) :args (@t447 @t444 (@list @t410 @t421))) % 0.53/0.74 (step @p656 :rule cnf_or_pos :args (@t449)) % 0.53/0.74 (step @p657 :rule factoring :premises (@p656)) % 0.53/0.74 (step @p658 :rule reordering :premises (@p657) :args ((or @t193 @t190 @t188 @t186 @t264 @t419 @t262 @t258 @t417 @t415 @t413 @t260 @t411 @t448 (not @t449)))) % 0.53/0.74 (step @p659 :rule chain_m_resolution :premises (@p658 @p158 @p150 @p144 @p138 @p431 @p633 @p428 @p425 @p630 @p627 @p624 @p392 @p655 @p578) :args (@t448 (@list true false false false false false false false false false false false true false) (@list @t193 @t189 @t187 @t181 @t263 @t418 @t261 @t257 @t416 @t414 @t412 @t259 @t411 @t449))) % 0.53/0.74 (step @p660 :rule cnf_equiv_pos2 :args (@t268)) % 0.53/0.74 (step @p661 :rule reordering :premises (@p660) :args ((or @t256 (not @t230) (not @t268)))) % 0.53/0.74 (step @p662 false :rule chain_m_resolution :premises (@p661 @p659 @p434 @p229) :args (false @t226 (@list @t256 @t268 @t230))) % 0.53/0.74 ) % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------