%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT295+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:30:09 AM UTC 2026 % Result : Theorem 0.60s 0.80s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT295+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:14:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.60/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.60/0.80 % SZS status Theorem % 0.60/0.80 % SZS output start Proof % 0.60/0.80 ( % 0.60/0.80 (declare-sort $$unsorted 0) % 0.60/0.80 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.60/0.80 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.80 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.60/0.80 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.80 (define @t1 () (@var "D" $$unsorted)) % 0.60/0.80 (define @t2 () (@var "C" $$unsorted)) % 0.60/0.80 (define @t3 () (@var "A" $$unsorted)) % 0.60/0.80 (define @t4 () (tptp.r1_lattices @t3 @t2 @t1)) % 0.60/0.80 (define @t5 () (@var "F" $$unsorted)) % 0.60/0.80 (define @t6 () (@var "E" $$unsorted)) % 0.60/0.80 (define @t7 () (@var "B" $$unsorted)) % 0.60/0.80 (define @t8 () (tptp.r1_lattices @t7 @t6 @t5)) % 0.60/0.80 (define @t9 () (tptp.k2_lattices @t3 @t2 @t1)) % 0.60/0.80 (define @t10 () (= @t9 (tptp.k2_lattices @t7 @t6 @t5))) % 0.60/0.80 (define @t11 () (tptp.k1_lattices @t3 @t2 @t1)) % 0.60/0.80 (define @t12 () (= @t11 (tptp.k1_lattices @t7 @t6 @t5))) % 0.60/0.80 (define @t13 () (and @t12 @t10 (=> @t4 @t8) (=> @t8 @t4))) % 0.60/0.80 (define @t14 () (= @t1 @t5)) % 0.60/0.80 (define @t15 () (= @t2 @t6)) % 0.60/0.80 (define @t16 () (and @t15 @t14)) % 0.60/0.80 (define @t17 () (=> @t16 @t13)) % 0.60/0.80 (define @t18 () (tptp.u1_struct_0 @t7)) % 0.60/0.80 (define @t19 () (tptp.m1_subset_1 @t5 @t18)) % 0.60/0.80 (define @t20 () (@list @t5)) % 0.60/0.80 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.60/0.80 (define @t22 () (tptp.m1_subset_1 @t6 @t18)) % 0.60/0.80 (define @t23 () (=> @t22 @t21)) % 0.60/0.80 (define @t24 () (@list @t6)) % 0.60/0.80 (define @t25 () (forall @t24 @t23)) % 0.60/0.80 (define @t26 () (tptp.u1_struct_0 @t3)) % 0.60/0.80 (define @t27 () (tptp.m1_subset_1 @t1 @t26)) % 0.60/0.80 (define @t28 () (=> @t27 @t25)) % 0.60/0.80 (define @t29 () (@list @t1)) % 0.60/0.80 (define @t30 () (forall @t29 @t28)) % 0.60/0.80 (define @t31 () (tptp.m1_subset_1 @t2 @t26)) % 0.60/0.80 (define @t32 () (=> @t31 @t30)) % 0.60/0.80 (define @t33 () (@list @t2)) % 0.60/0.80 (define @t34 () (forall @t33 @t32)) % 0.60/0.80 (define @t35 () (tptp.u1_lattices @t3)) % 0.60/0.80 (define @t36 () (tptp.u2_lattices @t3)) % 0.60/0.80 (define @t37 () (tptp.g3_lattices @t26 @t36 @t35)) % 0.60/0.80 (define @t38 () (= @t37 (tptp.g3_lattices @t18 (tptp.u2_lattices @t7) (tptp.u1_lattices @t7)))) % 0.60/0.80 (define @t39 () (=> @t38 @t34)) % 0.60/0.80 (define @t40 () (tptp.l3_lattices @t7)) % 0.60/0.80 (define @t41 () (tptp.v3_struct_0 @t7)) % 0.60/0.80 (define @t42 () (not @t41)) % 0.60/0.80 (define @t43 () (and @t42 @t40)) % 0.60/0.80 (define @t44 () (=> @t43 @t39)) % 0.60/0.80 (define @t45 () (@list @t7)) % 0.60/0.80 (define @t46 () (forall @t45 @t44)) % 0.60/0.80 (define @t47 () (tptp.l3_lattices @t3)) % 0.60/0.80 (define @t48 () (tptp.v3_struct_0 @t3)) % 0.60/0.80 (define @t49 () (not @t48)) % 0.60/0.80 (define @t50 () (and @t49 @t47)) % 0.60/0.80 (define @t51 () (=> @t50 @t46)) % 0.60/0.80 (define @t52 () (@list @t3)) % 0.60/0.80 (define @t53 () (forall @t52 @t51)) % 0.60/0.80 (define @t54 () (not @t53)) % 0.60/0.80 (define @t55 () (tptp.v3_lattices @t3)) % 0.60/0.80 (define @t56 () (tptp.r2_hidden @t3 @t7)) % 0.60/0.80 (define @t57 () (@list @t3 @t7)) % 0.60/0.80 (define @t58 () (tptp.v1_funct_1 @t3)) % 0.60/0.80 (define @t59 () (tptp.v1_xboole_0 @t3)) % 0.60/0.80 (define @t60 () (not @t59)) % 0.60/0.80 (define @t61 () (tptp.v1_realset1 @t3)) % 0.60/0.80 (define @t62 () (not @t61)) % 0.60/0.80 (define @t63 () (tptp.v1_relat_1 @t2)) % 0.60/0.80 (define @t64 () (tptp.k2_zfmisc_1 @t3 @t7)) % 0.60/0.80 (define @t65 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t64))) % 0.60/0.80 (define @t66 () (@list @t3 @t7 @t2)) % 0.60/0.80 (define @t67 () (forall @t66 (=> @t65 @t63))) % 0.60/0.80 (define @t68 () (tptp.v1_relat_1 @t3)) % 0.60/0.80 (define @t69 () (and @t68 @t58 (tptp.v2_funct_1 @t3))) % 0.60/0.80 (define @t70 () (and @t68 @t59 @t58)) % 0.60/0.80 (define @t71 () (tptp.k2_tarski @t3 @t7)) % 0.60/0.80 (define @t72 () (forall (@list @t7 @t2) (= (tptp.k1_binop_1 @t3 @t7 @t2) (tptp.k1_funct_1 @t3 (tptp.k4_tarski @t7 @t2))))) % 0.60/0.80 (define @t73 () (and @t68 @t58)) % 0.60/0.80 (define @t74 () (forall @t52 (=> @t73 @t72))) % 0.60/0.80 (define @t75 () (tptp.k1_lattices @t3 @t7 @t2)) % 0.60/0.80 (define @t76 () (= @t75 (tptp.k2_binop_1 @t26 @t26 @t26 @t36 @t7 @t2))) % 0.60/0.80 (define @t77 () (forall @t33 (=> @t31 @t76))) % 0.60/0.80 (define @t78 () (tptp.m1_subset_1 @t7 @t26)) % 0.60/0.80 (define @t79 () (=> @t78 @t77)) % 0.60/0.80 (define @t80 () (forall @t45 @t79)) % 0.60/0.80 (define @t81 () (tptp.l2_lattices @t3)) % 0.60/0.80 (define @t82 () (and @t49 @t81)) % 0.60/0.80 (define @t83 () (=> @t82 @t80)) % 0.60/0.80 (define @t84 () (forall @t52 @t83)) % 0.60/0.80 (define @t85 () (tptp.k2_lattices @t3 @t7 @t2)) % 0.60/0.80 (define @t86 () (= @t85 (tptp.k2_binop_1 @t26 @t26 @t26 @t35 @t7 @t2))) % 0.60/0.80 (define @t87 () (forall @t33 (=> @t31 @t86))) % 0.60/0.80 (define @t88 () (=> @t78 @t87)) % 0.60/0.80 (define @t89 () (forall @t45 @t88)) % 0.60/0.80 (define @t90 () (tptp.l1_lattices @t3)) % 0.60/0.80 (define @t91 () (and @t49 @t90)) % 0.60/0.80 (define @t92 () (=> @t91 @t89)) % 0.60/0.80 (define @t93 () (forall @t52 @t92)) % 0.60/0.80 (define @t94 () (tptp.r1_lattices @t3 @t7 @t2)) % 0.60/0.80 (define @t95 () (= @t94 (= @t75 @t2))) % 0.60/0.80 (define @t96 () (=> @t31 @t95)) % 0.60/0.80 (define @t97 () (forall @t33 @t96)) % 0.60/0.80 (define @t98 () (=> @t78 @t97)) % 0.60/0.80 (define @t99 () (forall @t45 @t98)) % 0.60/0.80 (define @t100 () (=> @t82 @t99)) % 0.60/0.80 (define @t101 () (forall @t52 @t100)) % 0.60/0.80 (define @t102 () (tptp.k1_tarski @t3)) % 0.60/0.80 (define @t103 () (tptp.g3_lattices @t3 @t7 @t2)) % 0.60/0.80 (define @t104 () (tptp.v3_lattices @t103)) % 0.60/0.80 (define @t105 () (tptp.k2_zfmisc_1 @t3 @t3)) % 0.60/0.80 (define @t106 () (tptp.m1_relset_1 @t2 @t105 @t3)) % 0.60/0.80 (define @t107 () (tptp.v1_funct_2 @t2 @t105 @t3)) % 0.60/0.80 (define @t108 () (tptp.v1_funct_1 @t2)) % 0.60/0.80 (define @t109 () (tptp.m1_relset_1 @t7 @t105 @t3)) % 0.60/0.80 (define @t110 () (tptp.v1_funct_2 @t7 @t105 @t3)) % 0.60/0.80 (define @t111 () (tptp.v1_funct_1 @t7)) % 0.60/0.80 (define @t112 () (and @t111 @t110 @t109 @t108 @t107 @t106)) % 0.60/0.80 (define @t113 () (tptp.k2_binop_1 @t3 @t7 @t2 @t1 @t6 @t5)) % 0.60/0.80 (define @t114 () (tptp.m1_subset_1 @t5 @t7)) % 0.60/0.80 (define @t115 () (tptp.m1_subset_1 @t6 @t3)) % 0.60/0.80 (define @t116 () (tptp.m1_relset_1 @t1 @t64 @t2)) % 0.60/0.80 (define @t117 () (tptp.v1_funct_2 @t1 @t64 @t2)) % 0.60/0.80 (define @t118 () (tptp.v1_funct_1 @t1)) % 0.60/0.80 (define @t119 () (tptp.v1_xboole_0 @t7)) % 0.60/0.80 (define @t120 () (not @t119)) % 0.60/0.80 (define @t121 () (and @t60 @t120 @t118 @t117 @t116 @t115 @t114)) % 0.60/0.80 (define @t122 () (@list @t3 @t7 @t2 @t1 @t6 @t5)) % 0.60/0.80 (define @t123 () (tptp.l1_struct_0 @t3)) % 0.60/0.80 (define @t124 () (forall @t52 (=> @t90 @t123))) % 0.60/0.80 (define @t125 () (and @t90 @t81)) % 0.60/0.80 (define @t126 () (forall @t52 (=> @t47 @t125))) % 0.60/0.80 (define @t127 () (tptp.m2_relset_1 @t2 @t3 @t7)) % 0.60/0.80 (define @t128 () (forall @t66 (=> @t127 @t65))) % 0.60/0.80 (define @t129 () (tptp.k2_zfmisc_1 @t26 @t26)) % 0.60/0.80 (define @t130 () (and (tptp.v1_funct_1 @t35) (tptp.v1_funct_2 @t35 @t129 @t26) (tptp.m2_relset_1 @t35 @t129 @t26))) % 0.60/0.80 (define @t131 () (forall @t52 (=> @t90 @t130))) % 0.60/0.80 (define @t132 () (and (tptp.v1_funct_1 @t36) (tptp.v1_funct_2 @t36 @t129 @t26) (tptp.m2_relset_1 @t36 @t129 @t26))) % 0.60/0.80 (define @t133 () (forall @t52 (=> @t81 @t132))) % 0.60/0.80 (define @t134 () (tptp.m1_relset_1 @t2 @t3 @t7)) % 0.60/0.80 (define @t135 () (not (tptp.v1_xboole_0 @t26))) % 0.60/0.80 (define @t136 () (and @t49 @t123)) % 0.60/0.80 (define @t137 () (forall @t52 (=> @t136 @t135))) % 0.60/0.80 (define @t138 () (tptp.k1_zfmisc_1 @t3)) % 0.60/0.80 (define @t139 () (not (tptp.v1_xboole_0 @t102))) % 0.60/0.80 (define @t140 () (and (= @t3 @t1) (= @t7 @t6) (= @t2 @t5))) % 0.60/0.80 (define @t141 () (= @t103 (tptp.g3_lattices @t1 @t6 @t5))) % 0.60/0.80 (define @t142 () (@list @t1 @t6 @t5)) % 0.60/0.80 (define @t143 () (forall @t142 (=> @t141 @t140))) % 0.60/0.80 (define @t144 () (=> @t112 @t143)) % 0.60/0.80 (define @t145 () (forall @t66 @t144)) % 0.60/0.80 (define @t146 () (tptp.m1_subset_1 @t7 @t138)) % 0.60/0.80 (define @t147 () (= @t113 (tptp.k1_binop_1 @t1 @t6 @t5))) % 0.60/0.80 (define @t148 () (forall @t122 (=> @t121 @t147))) % 0.60/0.80 (define @t149 () (forall @t66 (= @t127 @t134))) % 0.60/0.80 (define @t150 () (tptp.m1_subset_1 @t3 @t7)) % 0.60/0.80 (define @t151 () (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 @t2))) % 0.60/0.80 (define @t152 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 0.60/0.80 (define @t153 () (@var "BOUND_VARIABLE_8034" $$unsorted)) % 0.60/0.80 (define @t154 () (= (tptp.k1_lattices @t3 @t153 @t152) (tptp.k2_binop_1 @t26 @t26 @t26 @t36 @t153 @t152))) % 0.60/0.80 (define @t155 () (not (tptp.m1_subset_1 @t152 @t26))) % 0.60/0.80 (define @t156 () (not (tptp.m1_subset_1 @t153 @t26))) % 0.60/0.80 (define @t157 () (not @t81)) % 0.60/0.80 (define @t158 () (or @t156 @t155 @t154)) % 0.60/0.80 (define @t159 () (or @t48 @t157 @t158)) % 0.60/0.80 (define @t160 () (forall (@list @t3 @t153 @t152) @t159)) % 0.60/0.80 (define @t161 () (@list @t153 @t152)) % 0.60/0.80 (define @t162 () (forall @t161 @t159)) % 0.60/0.80 (define @t163 () (forall @t161 @t158)) % 0.60/0.80 (define @t164 () (@var "BOUND_VARIABLE_8014" $$unsorted)) % 0.60/0.80 (define @t165 () (or @t48 @t157 @t163)) % 0.60/0.80 (define @t166 () (= (tptp.k1_lattices @t3 @t7 @t164) (tptp.k2_binop_1 @t26 @t26 @t26 @t36 @t7 @t164))) % 0.60/0.80 (define @t167 () (not (tptp.m1_subset_1 @t164 @t26))) % 0.60/0.80 (define @t168 () (not @t78)) % 0.60/0.80 (define @t169 () (or @t168 @t167 @t166)) % 0.60/0.80 (define @t170 () (@list @t7 @t164)) % 0.60/0.80 (define @t171 () (forall @t170 @t169)) % 0.60/0.80 (define @t172 () (or @t48 @t157 @t171)) % 0.60/0.80 (define @t173 () (or @t48 @t157)) % 0.60/0.80 (define @t174 () (not @t49)) % 0.60/0.80 (define @t175 () (not @t82)) % 0.60/0.80 (define @t176 () (or @t167 @t166)) % 0.60/0.80 (define @t177 () (or @t168 @t176)) % 0.60/0.80 (define @t178 () (forall @t170 @t177)) % 0.60/0.80 (define @t179 () (@list @t164)) % 0.60/0.80 (define @t180 () (forall @t179 @t177)) % 0.60/0.80 (define @t181 () (forall @t179 @t176)) % 0.60/0.80 (define @t182 () (@list @t2)) % 0.60/0.80 (define @t183 () (or @t168 @t181)) % 0.60/0.80 (define @t184 () (not @t31)) % 0.60/0.80 (define @t185 () (forall @t33 (or @t184 @t76))) % 0.60/0.80 (define @t186 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 0.60/0.80 (define @t187 () (@var "BOUND_VARIABLE_7923" $$unsorted)) % 0.60/0.80 (define @t188 () (tptp.r1_lattices @t3 @t187 @t186)) % 0.60/0.80 (define @t189 () (@var "BOUND_VARIABLE_7921" $$unsorted)) % 0.60/0.80 (define @t190 () (tptp.r1_lattices @t189 @t187 @t186)) % 0.60/0.80 (define @t191 () (and (= (tptp.k1_lattices @t3 @t187 @t186) (tptp.k1_lattices @t189 @t187 @t186)) (= (tptp.k2_lattices @t3 @t187 @t186) (tptp.k2_lattices @t189 @t187 @t186)) (or (not @t188) @t190) (or (not @t190) @t188))) % 0.60/0.80 (define @t192 () (tptp.u1_struct_0 @t189)) % 0.60/0.80 (define @t193 () (not (tptp.m1_subset_1 @t186 @t192))) % 0.60/0.80 (define @t194 () (not (tptp.m1_subset_1 @t186 @t26))) % 0.60/0.80 (define @t195 () (not (tptp.m1_subset_1 @t187 @t192))) % 0.60/0.80 (define @t196 () (not (tptp.m1_subset_1 @t187 @t26))) % 0.60/0.80 (define @t197 () (not (= @t37 (tptp.g3_lattices @t192 (tptp.u2_lattices @t189) (tptp.u1_lattices @t189))))) % 0.60/0.80 (define @t198 () (not (tptp.l3_lattices @t189))) % 0.60/0.80 (define @t199 () (tptp.v3_struct_0 @t189)) % 0.60/0.80 (define @t200 () (not @t47)) % 0.60/0.80 (define @t201 () (or @t48 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t191)) % 0.60/0.80 (define @t202 () (@list @t3 @t189 @t187 @t186)) % 0.60/0.80 (define @t203 () (forall @t202 @t201)) % 0.60/0.80 (define @t204 () (@quantifiers_skolemize @t203 3)) % 0.60/0.80 (define @t205 () (@quantifiers_skolemize @t203 2)) % 0.60/0.80 (define @t206 () (@quantifiers_skolemize @t203 0)) % 0.60/0.80 (define @t207 () (@list @t206 @t205 @t204)) % 0.60/0.80 (define @t208 () (@list @t206)) % 0.60/0.80 (define @t209 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t191)) % 0.60/0.80 (define @t210 () (or @t48 @t200 @t209)) % 0.60/0.80 (define @t211 () (forall @t202 @t210)) % 0.60/0.80 (define @t212 () (@list @t189 @t187 @t186)) % 0.60/0.80 (define @t213 () (forall @t212 @t210)) % 0.60/0.80 (define @t214 () (forall @t212 @t209)) % 0.60/0.80 (define @t215 () (@var "BOUND_VARIABLE_7885" $$unsorted)) % 0.60/0.80 (define @t216 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 0.60/0.80 (define @t217 () (or @t48 @t200 @t214)) % 0.60/0.80 (define @t218 () (tptp.r1_lattices @t3 @t216 @t215)) % 0.60/0.80 (define @t219 () (tptp.r1_lattices @t7 @t216 @t215)) % 0.60/0.80 (define @t220 () (and (= (tptp.k1_lattices @t3 @t216 @t215) (tptp.k1_lattices @t7 @t216 @t215)) (= (tptp.k2_lattices @t3 @t216 @t215) (tptp.k2_lattices @t7 @t216 @t215)) (or (not @t218) @t219) (or (not @t219) @t218))) % 0.60/0.80 (define @t221 () (not (tptp.m1_subset_1 @t215 @t18))) % 0.60/0.80 (define @t222 () (not (tptp.m1_subset_1 @t215 @t26))) % 0.60/0.80 (define @t223 () (not (tptp.m1_subset_1 @t216 @t18))) % 0.60/0.80 (define @t224 () (not (tptp.m1_subset_1 @t216 @t26))) % 0.60/0.80 (define @t225 () (not @t38)) % 0.60/0.80 (define @t226 () (not @t40)) % 0.60/0.80 (define @t227 () (or @t41 @t226 @t225 @t224 @t223 @t222 @t221 @t220)) % 0.60/0.80 (define @t228 () (@list @t7 @t216 @t215)) % 0.60/0.80 (define @t229 () (forall @t228 @t227)) % 0.60/0.80 (define @t230 () (or @t48 @t200 @t229)) % 0.60/0.80 (define @t231 () (or @t224 @t223 @t222 @t221 @t220)) % 0.60/0.80 (define @t232 () (or @t41 @t226 @t225 @t231)) % 0.60/0.80 (define @t233 () (forall @t228 @t232)) % 0.60/0.80 (define @t234 () (@list @t216 @t215)) % 0.60/0.80 (define @t235 () (forall @t234 @t232)) % 0.60/0.80 (define @t236 () (forall @t234 @t231)) % 0.60/0.80 (define @t237 () (@var "BOUND_VARIABLE_7848" $$unsorted)) % 0.60/0.80 (define @t238 () (or @t41 @t226 @t225 @t236)) % 0.60/0.80 (define @t239 () (tptp.r1_lattices @t3 @t2 @t237)) % 0.60/0.80 (define @t240 () (tptp.r1_lattices @t7 @t2 @t237)) % 0.60/0.80 (define @t241 () (and (= (tptp.k1_lattices @t3 @t2 @t237) (tptp.k1_lattices @t7 @t2 @t237)) (= (tptp.k2_lattices @t3 @t2 @t237) (tptp.k2_lattices @t7 @t2 @t237)) (or (not @t239) @t240) (or (not @t240) @t239))) % 0.60/0.80 (define @t242 () (not (tptp.m1_subset_1 @t237 @t18))) % 0.60/0.80 (define @t243 () (not (tptp.m1_subset_1 @t237 @t26))) % 0.60/0.80 (define @t244 () (not (tptp.m1_subset_1 @t2 @t18))) % 0.60/0.80 (define @t245 () (or @t184 @t244 @t243 @t242 @t241)) % 0.60/0.80 (define @t246 () (@list @t2 @t237)) % 0.60/0.80 (define @t247 () (forall @t246 @t245)) % 0.60/0.80 (define @t248 () (or @t41 @t226 @t225 @t247)) % 0.60/0.80 (define @t249 () (=> @t38 @t247)) % 0.60/0.80 (define @t250 () (or @t243 @t242 @t241)) % 0.60/0.80 (define @t251 () (or @t184 @t244 @t250)) % 0.60/0.80 (define @t252 () (forall @t246 @t251)) % 0.60/0.80 (define @t253 () (@list @t237)) % 0.60/0.80 (define @t254 () (forall @t253 @t251)) % 0.60/0.80 (define @t255 () (forall @t253 @t250)) % 0.60/0.80 (define @t256 () (or @t184 @t244 @t255)) % 0.60/0.80 (define @t257 () (tptp.r1_lattices @t7 @t2 @t1)) % 0.60/0.80 (define @t258 () (not @t4)) % 0.60/0.80 (define @t259 () (and (= @t11 (tptp.k1_lattices @t7 @t2 @t1)) (= @t9 (tptp.k2_lattices @t7 @t2 @t1)) (or @t258 @t257) (or (not @t257) @t4))) % 0.60/0.80 (define @t260 () (not (tptp.m1_subset_1 @t1 @t18))) % 0.60/0.80 (define @t261 () (not @t27)) % 0.60/0.80 (define @t262 () (or @t261 @t260 @t259)) % 0.60/0.80 (define @t263 () (forall @t29 @t262)) % 0.60/0.80 (define @t264 () (or @t184 @t244 @t263)) % 0.60/0.80 (define @t265 () (or @t244 @t263)) % 0.60/0.80 (define @t266 () (or @t244 @t262)) % 0.60/0.80 (define @t267 () (or @t261 @t260 @t244 @t259)) % 0.60/0.80 (define @t268 () (or @t260 @t244 @t259)) % 0.60/0.80 (define @t269 () (or @t244 @t259)) % 0.60/0.80 (define @t270 () (not (= @t2 @t2))) % 0.60/0.80 (define @t271 () (or @t244 @t270 @t259)) % 0.60/0.80 (define @t272 () (tptp.r1_lattices @t7 @t6 @t1)) % 0.60/0.80 (define @t273 () (and (= @t11 (tptp.k1_lattices @t7 @t6 @t1)) (= @t9 (tptp.k2_lattices @t7 @t6 @t1)) (or @t258 @t272) (or (not @t272) @t4))) % 0.60/0.80 (define @t274 () (not @t15)) % 0.60/0.80 (define @t275 () (not @t22)) % 0.60/0.80 (define @t276 () (or @t274 @t275 @t274 @t273)) % 0.60/0.80 (define @t277 () (or @t275 @t274 @t273)) % 0.60/0.80 (define @t278 () (forall @t24 @t277)) % 0.60/0.80 (define @t279 () (or @t260 @t278)) % 0.60/0.80 (define @t280 () (or @t260 @t277)) % 0.60/0.80 (define @t281 () (or @t275 @t274 @t260 @t273)) % 0.60/0.80 (define @t282 () (or @t274 @t260 @t273)) % 0.60/0.80 (define @t283 () (or @t260 @t273)) % 0.60/0.80 (define @t284 () (not (= @t1 @t1))) % 0.60/0.80 (define @t285 () (or @t260 @t284 @t273)) % 0.60/0.80 (define @t286 () (and @t12 @t10 (or @t258 @t8) (or (not @t8) @t4))) % 0.60/0.80 (define @t287 () (not @t14)) % 0.60/0.80 (define @t288 () (not @t19)) % 0.60/0.80 (define @t289 () (or @t287 @t288 @t287 @t286)) % 0.60/0.80 (define @t290 () (or @t288 @t287 @t286)) % 0.60/0.80 (define @t291 () (forall @t20 @t290)) % 0.60/0.80 (define @t292 () (or @t274 @t291)) % 0.60/0.80 (define @t293 () (or @t274 @t290)) % 0.60/0.80 (define @t294 () (or @t288 @t274 @t287 @t286)) % 0.60/0.80 (define @t295 () (or @t274 @t287 @t286)) % 0.60/0.80 (define @t296 () (tptp.l3_lattices @t206)) % 0.60/0.80 (define @t297 () (tptp.r1_lattices @t206 @t205 @t204)) % 0.60/0.80 (define @t298 () (@quantifiers_skolemize @t203 1)) % 0.60/0.80 (define @t299 () (tptp.r1_lattices @t298 @t205 @t204)) % 0.60/0.80 (define @t300 () (not @t299)) % 0.60/0.80 (define @t301 () (or @t300 @t297)) % 0.60/0.80 (define @t302 () (not @t297)) % 0.60/0.80 (define @t303 () (or @t302 @t299)) % 0.60/0.80 (define @t304 () (tptp.k2_lattices @t298 @t205 @t204)) % 0.60/0.80 (define @t305 () (tptp.k2_lattices @t206 @t205 @t204)) % 0.60/0.80 (define @t306 () (= @t305 @t304)) % 0.60/0.80 (define @t307 () (tptp.k1_lattices @t298 @t205 @t204)) % 0.60/0.80 (define @t308 () (tptp.k1_lattices @t206 @t205 @t204)) % 0.60/0.80 (define @t309 () (= @t308 @t307)) % 0.60/0.80 (define @t310 () (and @t309 @t306 @t303 @t301)) % 0.60/0.80 (define @t311 () (tptp.u1_struct_0 @t298)) % 0.60/0.80 (define @t312 () (tptp.m1_subset_1 @t204 @t311)) % 0.60/0.80 (define @t313 () (not @t312)) % 0.60/0.80 (define @t314 () (tptp.u1_struct_0 @t206)) % 0.60/0.80 (define @t315 () (tptp.m1_subset_1 @t204 @t314)) % 0.60/0.80 (define @t316 () (not @t315)) % 0.60/0.80 (define @t317 () (tptp.m1_subset_1 @t205 @t311)) % 0.60/0.80 (define @t318 () (not @t317)) % 0.60/0.80 (define @t319 () (tptp.m1_subset_1 @t205 @t314)) % 0.60/0.80 (define @t320 () (not @t319)) % 0.60/0.80 (define @t321 () (tptp.u1_lattices @t298)) % 0.60/0.80 (define @t322 () (tptp.u2_lattices @t298)) % 0.60/0.80 (define @t323 () (tptp.g3_lattices @t311 @t322 @t321)) % 0.60/0.80 (define @t324 () (tptp.u1_lattices @t206)) % 0.60/0.80 (define @t325 () (tptp.u2_lattices @t206)) % 0.60/0.80 (define @t326 () (tptp.g3_lattices @t314 @t325 @t324)) % 0.60/0.80 (define @t327 () (= @t326 @t323)) % 0.60/0.80 (define @t328 () (not @t327)) % 0.60/0.80 (define @t329 () (tptp.l3_lattices @t298)) % 0.60/0.80 (define @t330 () (not @t329)) % 0.60/0.80 (define @t331 () (tptp.v3_struct_0 @t298)) % 0.60/0.80 (define @t332 () (not @t296)) % 0.60/0.80 (define @t333 () (tptp.v3_struct_0 @t206)) % 0.60/0.80 (define @t334 () (or @t333 @t332 @t331 @t330 @t328 @t320 @t318 @t316 @t313 @t310)) % 0.60/0.80 (define @t335 () (@list true)) % 0.60/0.80 (define @t336 () (@list @t334)) % 0.60/0.80 (define @t337 () (tptp.l2_lattices @t206)) % 0.60/0.80 (define @t338 () (tptp.l1_lattices @t206)) % 0.60/0.80 (define @t339 () (and @t338 @t337)) % 0.60/0.80 (define @t340 () (or @t332 @t339)) % 0.60/0.80 (define @t341 () (@list false false)) % 0.60/0.80 (define @t342 () (not @t339)) % 0.60/0.80 (define @t343 () (@list false)) % 0.60/0.80 (define @t344 () (@list @t339)) % 0.60/0.80 (define @t345 () (tptp.k2_binop_1 @t314 @t314 @t314 @t325 @t205 @t204)) % 0.60/0.80 (define @t346 () (= @t308 @t345)) % 0.60/0.80 (define @t347 () (not @t337)) % 0.60/0.80 (define @t348 () (or @t333 @t347 @t320 @t316 @t346)) % 0.60/0.80 (define @t349 () (@list true false false false false)) % 0.60/0.80 (define @t350 () (@list @t298 @t205 @t204)) % 0.60/0.80 (define @t351 () (@list @t298)) % 0.60/0.80 (define @t352 () (tptp.l2_lattices @t298)) % 0.60/0.80 (define @t353 () (tptp.l1_lattices @t298)) % 0.60/0.80 (define @t354 () (and @t353 @t352)) % 0.60/0.80 (define @t355 () (or @t330 @t354)) % 0.60/0.80 (define @t356 () (not @t354)) % 0.60/0.80 (define @t357 () (@list @t354)) % 0.60/0.80 (define @t358 () (tptp.k2_binop_1 @t311 @t311 @t311 @t322 @t205 @t204)) % 0.60/0.80 (define @t359 () (= @t307 @t358)) % 0.60/0.80 (define @t360 () (not @t352)) % 0.60/0.80 (define @t361 () (or @t331 @t360 @t318 @t313 @t359)) % 0.60/0.80 (define @t362 () (not @t114)) % 0.60/0.80 (define @t363 () (not @t115)) % 0.60/0.80 (define @t364 () (not @t116)) % 0.60/0.80 (define @t365 () (not @t117)) % 0.60/0.80 (define @t366 () (not @t118)) % 0.60/0.80 (define @t367 () (not @t120)) % 0.60/0.80 (define @t368 () (not @t60)) % 0.60/0.80 (define @t369 () (or @t368 @t367 @t366 @t365 @t364 @t363 @t362)) % 0.60/0.80 (define @t370 () (not @t123)) % 0.60/0.80 (define @t371 () (tptp.l1_struct_0 @t206)) % 0.60/0.80 (define @t372 () (not @t338)) % 0.60/0.80 (define @t373 () (or @t372 @t371)) % 0.60/0.80 (define @t374 () (tptp.v1_xboole_0 @t314)) % 0.60/0.80 (define @t375 () (not @t374)) % 0.60/0.80 (define @t376 () (not @t371)) % 0.60/0.80 (define @t377 () (or @t333 @t376 @t375)) % 0.60/0.80 (define @t378 () (@list true false false)) % 0.60/0.80 (define @t379 () (tptp.k2_zfmisc_1 @t314 @t314)) % 0.60/0.80 (define @t380 () (tptp.m2_relset_1 @t325 @t379 @t314)) % 0.60/0.80 (define @t381 () (tptp.m1_relset_1 @t325 @t379 @t314)) % 0.60/0.80 (define @t382 () (= @t380 @t381)) % 0.60/0.80 (define @t383 () (@list @t379 @t314 @t325)) % 0.60/0.80 (define @t384 () (= @t381 @t380)) % 0.60/0.80 (define @t385 () (@list @t149)) % 0.60/0.80 (define @t386 () (tptp.v1_funct_2 @t325 @t379 @t314)) % 0.60/0.80 (define @t387 () (tptp.v1_funct_1 @t325)) % 0.60/0.80 (define @t388 () (and @t387 @t386 @t380)) % 0.60/0.80 (define @t389 () (or @t347 @t388)) % 0.60/0.80 (define @t390 () (not @t388)) % 0.60/0.80 (define @t391 () (@list @t388)) % 0.60/0.80 (define @t392 () (not @t380)) % 0.60/0.80 (define @t393 () (tptp.k1_binop_1 @t325 @t205 @t204)) % 0.60/0.80 (define @t394 () (= @t345 @t393)) % 0.60/0.80 (define @t395 () (not @t381)) % 0.60/0.80 (define @t396 () (not @t386)) % 0.60/0.80 (define @t397 () (not @t387)) % 0.60/0.80 (define @t398 () (or @t374 @t374 @t397 @t396 @t395 @t320 @t316 @t394)) % 0.60/0.80 (define @t399 () (@list false false false false false true false)) % 0.60/0.80 (define @t400 () (tptp.l1_struct_0 @t298)) % 0.60/0.80 (define @t401 () (not @t353)) % 0.60/0.80 (define @t402 () (or @t401 @t400)) % 0.60/0.80 (define @t403 () (tptp.v1_xboole_0 @t311)) % 0.60/0.80 (define @t404 () (not @t403)) % 0.60/0.80 (define @t405 () (not @t400)) % 0.60/0.80 (define @t406 () (or @t331 @t405 @t404)) % 0.60/0.80 (define @t407 () (tptp.k2_zfmisc_1 @t311 @t311)) % 0.60/0.80 (define @t408 () (tptp.m2_relset_1 @t322 @t407 @t311)) % 0.60/0.80 (define @t409 () (tptp.m1_relset_1 @t322 @t407 @t311)) % 0.60/0.80 (define @t410 () (= @t408 @t409)) % 0.60/0.80 (define @t411 () (@list @t407 @t311 @t322)) % 0.60/0.80 (define @t412 () (= @t409 @t408)) % 0.60/0.80 (define @t413 () (tptp.v1_funct_2 @t322 @t407 @t311)) % 0.60/0.80 (define @t414 () (tptp.v1_funct_1 @t322)) % 0.60/0.80 (define @t415 () (and @t414 @t413 @t408)) % 0.60/0.80 (define @t416 () (or @t360 @t415)) % 0.60/0.80 (define @t417 () (not @t415)) % 0.60/0.80 (define @t418 () (@list @t415)) % 0.60/0.80 (define @t419 () (not @t408)) % 0.60/0.80 (define @t420 () (tptp.k1_binop_1 @t322 @t205 @t204)) % 0.60/0.80 (define @t421 () (= @t358 @t420)) % 0.60/0.80 (define @t422 () (not @t409)) % 0.60/0.80 (define @t423 () (not @t413)) % 0.60/0.80 (define @t424 () (not @t414)) % 0.60/0.80 (define @t425 () (or @t403 @t403 @t424 @t423 @t422 @t318 @t313 @t421)) % 0.60/0.80 (define @t426 () (@var "BOUND_VARIABLE_7997" $$unsorted)) % 0.60/0.80 (define @t427 () (@var "BOUND_VARIABLE_7995" $$unsorted)) % 0.60/0.80 (define @t428 () (= (tptp.k1_binop_1 @t3 @t427 @t426) (tptp.k1_funct_1 @t3 (tptp.k4_tarski @t427 @t426)))) % 0.60/0.80 (define @t429 () (not @t58)) % 0.60/0.80 (define @t430 () (not @t68)) % 0.60/0.80 (define @t431 () (or @t430 @t429 @t428)) % 0.60/0.80 (define @t432 () (@list @t427 @t426)) % 0.60/0.80 (define @t433 () (forall @t432 @t431)) % 0.60/0.80 (define @t434 () (forall @t432 @t428)) % 0.60/0.80 (define @t435 () (or @t430 @t429 @t434)) % 0.60/0.80 (define @t436 () (or @t430 @t429 @t72)) % 0.60/0.80 (define @t437 () (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t379 @t314))) % 0.60/0.80 (define @t438 () (tptp.m1_subset_1 @t325 @t437)) % 0.60/0.80 (define @t439 () (or @t392 @t438)) % 0.60/0.80 (define @t440 () (tptp.v1_relat_1 @t325)) % 0.60/0.80 (define @t441 () (not @t438)) % 0.60/0.80 (define @t442 () (or @t441 @t440)) % 0.60/0.80 (define @t443 () (tptp.k4_tarski @t205 @t204)) % 0.60/0.80 (define @t444 () (tptp.k1_funct_1 @t325 @t443)) % 0.60/0.80 (define @t445 () (= @t393 @t444)) % 0.60/0.80 (define @t446 () (not @t440)) % 0.60/0.80 (define @t447 () (or @t446 @t397 @t445)) % 0.60/0.80 (define @t448 () (@list false false false)) % 0.60/0.80 (define @t449 () (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t407 @t311))) % 0.60/0.80 (define @t450 () (tptp.m1_subset_1 @t322 @t449)) % 0.60/0.81 (define @t451 () (or @t419 @t450)) % 0.60/0.81 (define @t452 () (tptp.v1_relat_1 @t322)) % 0.60/0.81 (define @t453 () (not @t450)) % 0.60/0.81 (define @t454 () (or @t453 @t452)) % 0.60/0.81 (define @t455 () (= @t420 (tptp.k1_funct_1 @t322 @t443))) % 0.60/0.81 (define @t456 () (not @t452)) % 0.60/0.81 (define @t457 () (or @t456 @t424 @t455)) % 0.60/0.81 (define @t458 () (@var "BOUND_VARIABLE_8267" $$unsorted)) % 0.60/0.81 (define @t459 () (@var "BOUND_VARIABLE_8265" $$unsorted)) % 0.60/0.81 (define @t460 () (@var "BOUND_VARIABLE_8263" $$unsorted)) % 0.60/0.81 (define @t461 () (and (= @t3 @t460) (= @t7 @t459) (= @t2 @t458))) % 0.60/0.81 (define @t462 () (not (= @t103 (tptp.g3_lattices @t460 @t459 @t458)))) % 0.60/0.81 (define @t463 () (not @t106)) % 0.60/0.81 (define @t464 () (not @t107)) % 0.60/0.81 (define @t465 () (not @t108)) % 0.60/0.81 (define @t466 () (not @t109)) % 0.60/0.81 (define @t467 () (not @t110)) % 0.60/0.81 (define @t468 () (not @t111)) % 0.60/0.81 (define @t469 () (or @t468 @t467 @t466 @t465 @t464 @t463 @t462 @t461)) % 0.60/0.81 (define @t470 () (or @t462 @t461)) % 0.60/0.81 (define @t471 () (or @t468 @t467 @t466 @t465 @t464 @t463 @t470)) % 0.60/0.81 (define @t472 () (@list @t3 @t7 @t2 @t460 @t459 @t458)) % 0.60/0.81 (define @t473 () (forall @t472 @t471)) % 0.60/0.81 (define @t474 () (@list @t460 @t459 @t458)) % 0.60/0.81 (define @t475 () (forall @t474 @t471)) % 0.60/0.81 (define @t476 () (forall @t474 @t470)) % 0.60/0.81 (define @t477 () (or @t468 @t467 @t466 @t465 @t464 @t463 @t476)) % 0.60/0.81 (define @t478 () (forall @t142 (or (not @t141) @t140))) % 0.60/0.81 (define @t479 () (or @t468 @t467 @t466 @t465 @t464 @t463 @t478)) % 0.60/0.81 (define @t480 () (or @t468 @t467 @t466 @t465 @t464 @t463)) % 0.60/0.81 (define @t481 () (and (= @t311 @t314) (= @t322 @t325) (= @t321 @t324))) % 0.60/0.81 (define @t482 () (not (= @t323 @t326))) % 0.60/0.81 (define @t483 () (tptp.m1_relset_1 @t321 @t407 @t311)) % 0.60/0.81 (define @t484 () (not @t483)) % 0.60/0.81 (define @t485 () (tptp.v1_funct_2 @t321 @t407 @t311)) % 0.60/0.81 (define @t486 () (not @t485)) % 0.60/0.81 (define @t487 () (tptp.v1_funct_1 @t321)) % 0.60/0.81 (define @t488 () (not @t487)) % 0.60/0.81 (define @t489 () (or @t424 @t423 @t422 @t488 @t486 @t484 @t482 @t481)) % 0.60/0.81 (define @t490 () (forall @t472 @t469)) % 0.60/0.81 (define @t491 () (= @t324 @t321)) % 0.60/0.81 (define @t492 () (= @t325 @t322)) % 0.60/0.81 (define @t493 () (and (= @t314 @t311) @t492 @t491)) % 0.60/0.81 (define @t494 () (or @t424 @t423 @t422 @t488 @t486 @t484 @t328 @t493)) % 0.60/0.81 (define @t495 () (tptp.m2_relset_1 @t321 @t407 @t311)) % 0.60/0.81 (define @t496 () (= @t495 @t483)) % 0.60/0.81 (define @t497 () (@list @t407 @t311 @t321)) % 0.60/0.81 (define @t498 () (= @t483 @t495)) % 0.60/0.81 (define @t499 () (and @t487 @t485 @t495)) % 0.60/0.81 (define @t500 () (or @t401 @t499)) % 0.60/0.81 (define @t501 () (not @t499)) % 0.60/0.81 (define @t502 () (@list @t499)) % 0.60/0.81 (define @t503 () (not @t495)) % 0.60/0.81 (define @t504 () (not @t493)) % 0.60/0.81 (define @t505 () (@list @t493)) % 0.60/0.81 (define @t506 () (@var "BOUND_VARIABLE_8126" $$unsorted)) % 0.60/0.81 (define @t507 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 0.60/0.81 (define @t508 () (= (tptp.r1_lattices @t3 @t507 @t506) (= @t506 (tptp.k1_lattices @t3 @t507 @t506)))) % 0.60/0.81 (define @t509 () (not (tptp.m1_subset_1 @t506 @t26))) % 0.60/0.81 (define @t510 () (not (tptp.m1_subset_1 @t507 @t26))) % 0.60/0.81 (define @t511 () (or @t510 @t509 @t508)) % 0.60/0.81 (define @t512 () (or @t48 @t157 @t511)) % 0.60/0.81 (define @t513 () (forall (@list @t3 @t507 @t506) @t512)) % 0.60/0.81 (define @t514 () (@list @t507 @t506)) % 0.60/0.81 (define @t515 () (forall @t514 @t512)) % 0.60/0.81 (define @t516 () (forall @t514 @t511)) % 0.60/0.81 (define @t517 () (@var "BOUND_VARIABLE_8106" $$unsorted)) % 0.60/0.81 (define @t518 () (or @t48 @t157 @t516)) % 0.60/0.81 (define @t519 () (= (tptp.r1_lattices @t3 @t7 @t517) (= @t517 (tptp.k1_lattices @t3 @t7 @t517)))) % 0.60/0.81 (define @t520 () (not (tptp.m1_subset_1 @t517 @t26))) % 0.60/0.81 (define @t521 () (or @t168 @t520 @t519)) % 0.60/0.81 (define @t522 () (@list @t7 @t517)) % 0.60/0.81 (define @t523 () (forall @t522 @t521)) % 0.60/0.81 (define @t524 () (or @t48 @t157 @t523)) % 0.60/0.81 (define @t525 () (or @t520 @t519)) % 0.60/0.81 (define @t526 () (or @t168 @t525)) % 0.60/0.81 (define @t527 () (forall @t522 @t526)) % 0.60/0.81 (define @t528 () (@list @t517)) % 0.60/0.81 (define @t529 () (forall @t528 @t526)) % 0.60/0.81 (define @t530 () (forall @t528 @t525)) % 0.60/0.81 (define @t531 () (or @t168 @t530)) % 0.60/0.81 (define @t532 () (= @t94 (= @t2 @t75))) % 0.60/0.81 (define @t533 () (forall @t33 (or @t184 @t532))) % 0.60/0.81 (define @t534 () (= @t204 @t308)) % 0.60/0.81 (define @t535 () (= @t297 @t534)) % 0.60/0.81 (define @t536 () (or @t333 @t347 @t320 @t316 @t535)) % 0.60/0.81 (define @t537 () (not @t535)) % 0.60/0.81 (define @t538 () (not @t534)) % 0.60/0.81 (define @t539 () (@var "BOUND_VARIABLE_8080" $$unsorted)) % 0.60/0.81 (define @t540 () (@var "BOUND_VARIABLE_8078" $$unsorted)) % 0.60/0.81 (define @t541 () (= (tptp.k2_lattices @t3 @t540 @t539) (tptp.k2_binop_1 @t26 @t26 @t26 @t35 @t540 @t539))) % 0.60/0.81 (define @t542 () (not (tptp.m1_subset_1 @t539 @t26))) % 0.60/0.81 (define @t543 () (not (tptp.m1_subset_1 @t540 @t26))) % 0.60/0.81 (define @t544 () (not @t90)) % 0.60/0.81 (define @t545 () (or @t543 @t542 @t541)) % 0.60/0.81 (define @t546 () (or @t48 @t544 @t545)) % 0.60/0.81 (define @t547 () (forall (@list @t3 @t540 @t539) @t546)) % 0.60/0.81 (define @t548 () (@list @t540 @t539)) % 0.60/0.81 (define @t549 () (forall @t548 @t546)) % 0.60/0.81 (define @t550 () (forall @t548 @t545)) % 0.60/0.81 (define @t551 () (@var "BOUND_VARIABLE_8058" $$unsorted)) % 0.60/0.81 (define @t552 () (or @t48 @t544 @t550)) % 0.60/0.81 (define @t553 () (= (tptp.k2_lattices @t3 @t7 @t551) (tptp.k2_binop_1 @t26 @t26 @t26 @t35 @t7 @t551))) % 0.60/0.81 (define @t554 () (not (tptp.m1_subset_1 @t551 @t26))) % 0.60/0.81 (define @t555 () (or @t168 @t554 @t553)) % 0.60/0.81 (define @t556 () (@list @t7 @t551)) % 0.60/0.81 (define @t557 () (forall @t556 @t555)) % 0.60/0.81 (define @t558 () (or @t48 @t544 @t557)) % 0.60/0.81 (define @t559 () (or @t554 @t553)) % 0.60/0.81 (define @t560 () (or @t168 @t559)) % 0.60/0.81 (define @t561 () (forall @t556 @t560)) % 0.60/0.81 (define @t562 () (@list @t551)) % 0.60/0.81 (define @t563 () (forall @t562 @t560)) % 0.60/0.81 (define @t564 () (forall @t562 @t559)) % 0.60/0.81 (define @t565 () (or @t168 @t564)) % 0.60/0.81 (define @t566 () (forall @t33 (or @t184 @t86))) % 0.60/0.81 (define @t567 () (tptp.k2_binop_1 @t311 @t311 @t311 @t321 @t205 @t204)) % 0.60/0.81 (define @t568 () (= @t304 @t567)) % 0.60/0.81 (define @t569 () (or @t331 @t401 @t318 @t313 @t568)) % 0.60/0.81 (define @t570 () (tptp.k1_binop_1 @t321 @t205 @t204)) % 0.60/0.81 (define @t571 () (= @t567 @t570)) % 0.60/0.81 (define @t572 () (or @t403 @t403 @t488 @t486 @t484 @t318 @t313 @t571)) % 0.60/0.81 (define @t573 () (tptp.m1_subset_1 @t321 @t449)) % 0.60/0.81 (define @t574 () (or @t503 @t573)) % 0.60/0.81 (define @t575 () (tptp.v1_relat_1 @t321)) % 0.60/0.81 (define @t576 () (not @t573)) % 0.60/0.81 (define @t577 () (or @t576 @t575)) % 0.60/0.81 (define @t578 () (= @t570 (tptp.k1_funct_1 @t321 @t443))) % 0.60/0.81 (define @t579 () (not @t575)) % 0.60/0.81 (define @t580 () (or @t579 @t488 @t578)) % 0.60/0.81 (define @t581 () (tptp.k1_funct_1 @t324 @t443)) % 0.60/0.81 (define @t582 () (@list @t379 @t314 @t324)) % 0.60/0.81 (define @t583 () (tptp.m2_relset_1 @t324 @t379 @t314)) % 0.60/0.81 (define @t584 () (tptp.v1_funct_2 @t324 @t379 @t314)) % 0.60/0.81 (define @t585 () (tptp.v1_funct_1 @t324)) % 0.60/0.81 (define @t586 () (and @t585 @t584 @t583)) % 0.60/0.81 (define @t587 () (or @t372 @t586)) % 0.60/0.81 (define @t588 () (not @t586)) % 0.60/0.81 (define @t589 () (@list @t586)) % 0.60/0.81 (define @t590 () (tptp.m1_subset_1 @t324 @t437)) % 0.60/0.81 (define @t591 () (not @t583)) % 0.60/0.81 (define @t592 () (or @t591 @t590)) % 0.60/0.81 (define @t593 () (tptp.v1_relat_1 @t324)) % 0.60/0.81 (define @t594 () (not @t590)) % 0.60/0.81 (define @t595 () (or @t594 @t593)) % 0.60/0.81 (define @t596 () (tptp.k1_binop_1 @t324 @t205 @t204)) % 0.60/0.81 (define @t597 () (= @t596 @t581)) % 0.60/0.81 (define @t598 () (not @t585)) % 0.60/0.81 (define @t599 () (not @t593)) % 0.60/0.81 (define @t600 () (or @t599 @t598 @t597)) % 0.60/0.81 (define @t601 () (tptp.m1_relset_1 @t324 @t379 @t314)) % 0.60/0.81 (define @t602 () (= @t583 @t601)) % 0.60/0.81 (define @t603 () (= @t601 @t583)) % 0.60/0.81 (define @t604 () (tptp.k2_binop_1 @t314 @t314 @t314 @t324 @t205 @t204)) % 0.60/0.81 (define @t605 () (= @t604 @t596)) % 0.60/0.81 (define @t606 () (not @t601)) % 0.60/0.81 (define @t607 () (not @t584)) % 0.60/0.81 (define @t608 () (or @t374 @t374 @t598 @t607 @t606 @t320 @t316 @t605)) % 0.60/0.81 (define @t609 () (= @t305 @t604)) % 0.60/0.81 (define @t610 () (or @t333 @t372 @t320 @t316 @t609)) % 0.60/0.81 (define @t611 () (= @t204 @t307)) % 0.60/0.81 (define @t612 () (= @t299 @t611)) % 0.60/0.81 (define @t613 () (or @t331 @t360 @t318 @t313 @t612)) % 0.60/0.81 (define @t614 () (not @t612)) % 0.60/0.81 (define @t615 () (not @t611)) % 0.60/0.81 (define @t616 () (not @t492)) % 0.60/0.81 (define @t617 () (not @t455)) % 0.60/0.81 (define @t618 () (not @t445)) % 0.60/0.81 (define @t619 () (not @t421)) % 0.60/0.81 (define @t620 () (not @t394)) % 0.60/0.81 (define @t621 () (not @t359)) % 0.60/0.81 (define @t622 () (not @t346)) % 0.60/0.81 (define @t623 () (and @t346 @t359 @t538 @t394 @t421 @t445 @t455 @t492)) % 0.60/0.81 (define @t624 () (and @t346 @t359 @t534 @t394 @t421 @t445 @t455 @t492)) % 0.60/0.81 (assume @p1 @t54) % 0.60/0.81 (assume @p2 (forall @t52 (=> @t47 (=> @t55 (= @t3 @t37))))) % 0.60/0.81 (assume @p3 (forall @t57 (=> @t56 (not (tptp.r2_hidden @t7 @t3))))) % 0.60/0.81 (assume @p4 (forall @t52 (=> @t59 @t58))) % 0.60/0.81 (assume @p5 (forall @t52 (=> @t62 @t60))) % 0.60/0.81 (assume @p6 @t67) % 0.60/0.81 (assume @p7 (forall @t52 (=> @t70 @t69))) % 0.60/0.81 (assume @p8 (forall @t57 (= @t71 (tptp.k2_tarski @t7 @t3)))) % 0.60/0.81 (assume @p9 @t74) % 0.60/0.81 (assume @p10 @t84) % 0.60/0.81 (assume @p11 @t93) % 0.60/0.81 (assume @p12 @t101) % 0.60/0.81 (assume @p13 (forall @t57 (= (tptp.k4_tarski @t3 @t7) (tptp.k2_tarski @t71 @t102)))) % 0.60/0.81 (assume @p14 (forall @t66 (=> @t112 (and @t104 (tptp.l3_lattices @t103))))) % 0.60/0.81 (assume @p15 true) % 0.60/0.81 (assume @p16 (forall @t66 (=> (and @t49 @t81 @t78 @t31) (tptp.m1_subset_1 @t75 @t26)))) % 0.60/0.81 (assume @p17 (forall @t122 (=> @t121 (tptp.m1_subset_1 @t113 @t2)))) % 0.60/0.81 (assume @p18 (forall @t66 (=> (and @t49 @t90 @t78 @t31) (tptp.m1_subset_1 @t85 @t26)))) % 0.60/0.81 (assume @p19 @t124) % 0.60/0.81 (assume @p20 (forall @t52 (=> @t81 @t123))) % 0.60/0.81 (assume @p21 @t126) % 0.60/0.81 (assume @p22 @t128) % 0.60/0.81 (assume @p23 @t131) % 0.60/0.81 (assume @p24 @t133) % 0.60/0.81 (assume @p25 (exists @t52 @t90)) % 0.60/0.81 (assume @p26 (exists @t52 @t123)) % 0.60/0.81 (assume @p27 (exists @t52 @t81)) % 0.60/0.81 (assume @p28 (exists @t52 @t47)) % 0.60/0.81 (assume @p29 (forall @t57 (exists @t33 @t134))) % 0.60/0.81 (assume @p30 (forall @t52 (exists @t45 (tptp.m1_subset_1 @t7 @t3)))) % 0.60/0.81 (assume @p31 (forall @t57 (exists @t33 @t127))) % 0.60/0.81 (assume @p32 @t137) % 0.60/0.81 (assume @p33 (forall @t52 (not (tptp.v1_xboole_0 @t138)))) % 0.60/0.81 (assume @p34 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.60/0.81 (assume @p35 (forall @t52 @t139)) % 0.60/0.81 (assume @p36 (forall @t66 (=> (and @t60 @t111 @t110 @t109 @t108 @t107 @t106) (and (not (tptp.v3_struct_0 @t103)) @t104)))) % 0.60/0.81 (assume @p37 (forall @t52 (and @t139 (tptp.v1_finset_1 @t102) (tptp.v1_realset1 @t102)))) % 0.60/0.81 (assume @p38 (forall @t57 (not (tptp.v1_xboole_0 @t71)))) % 0.60/0.81 (assume @p39 (forall @t57 (=> (and @t60 @t120) (not (tptp.v1_xboole_0 @t64))))) % 0.60/0.81 (assume @p40 @t145) % 0.60/0.81 (assume @p41 (exists @t52 @t73)) % 0.60/0.81 (assume @p42 (exists @t52 (and @t60 @t61))) % 0.60/0.81 (assume @p43 (forall @t52 (=> @t60 (exists @t45 (and @t146 @t120))))) % 0.60/0.81 (assume @p44 (exists @t52 @t59)) % 0.60/0.81 (assume @p45 (exists @t52 @t70)) % 0.60/0.81 (assume @p46 (exists @t52 (and @t60 @t62))) % 0.60/0.81 (assume @p47 (forall @t52 (exists @t45 (and @t146 @t119)))) % 0.60/0.81 (assume @p48 (exists @t52 @t60)) % 0.60/0.81 (assume @p49 (exists @t52 @t69)) % 0.60/0.81 (assume @p50 (exists @t52 (and @t47 @t55))) % 0.60/0.81 (assume @p51 (exists @t52 (and @t123 @t49))) % 0.60/0.81 (assume @p52 (forall @t52 (=> @t136 (exists @t45 (and (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 @t26)) @t120))))) % 0.60/0.81 (assume @p53 (exists @t52 (and @t47 @t49 @t55))) % 0.60/0.81 (assume @p54 @t148) % 0.60/0.81 (assume @p55 @t149) % 0.60/0.81 (assume @p56 (forall @t57 (tptp.r1_tarski @t3 @t3))) % 0.60/0.81 (assume @p57 (forall @t57 (=> @t56 @t150))) % 0.60/0.81 (assume @p58 (forall @t57 (=> @t150 (or @t119 @t56)))) % 0.60/0.81 (assume @p59 (forall @t57 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t7)) (tptp.r1_tarski @t3 @t7)))) % 0.60/0.81 (assume @p60 (forall @t66 (=> (and @t56 @t151) (tptp.m1_subset_1 @t3 @t2)))) % 0.60/0.81 (assume @p61 (forall @t66 (not (and @t56 @t151 (tptp.v1_xboole_0 @t2))))) % 0.60/0.81 (assume @p62 (forall @t52 (=> @t59 (= @t3 tptp.k1_xboole_0)))) % 0.60/0.81 (assume @p63 (forall @t57 (not (and @t56 @t119)))) % 0.60/0.81 (assume @p64 (forall @t57 (not (and @t59 (not (= @t3 @t7)) @t119)))) % 0.60/0.81 (step @p65 :rule aci_norm :args ((= @t159 (or @t48 @t157 @t156 @t155 @t154)))) % 0.60/0.81 (step @p66 :rule cong :premises (@p65) :args (@t160)) % 0.60/0.81 (step @p67 :rule quant-merge-prenex :args ((= (forall @t52 @t162) 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:premises (@p908 @p660 @p551 @p539 @p501 @p460 @p363 @p332 @p863 @p861 @p857 @p851 @p850 @p845 @p722 @p720 @p712 @p718) :args (@t297 (@list false false false false false false false false false false true false false true true false false) (@list @t492 @t455 @t445 @t421 @t394 @t359 @t346 @t611 @t612 @t299 @t301 @t309 @t306 @t310 @t534 @t535 @t303))) % 0.60/0.81 (step @p910 :rule cnf_equiv_pos1 :args (@t535)) % 0.60/0.81 (step @p911 :rule reordering :premises (@p910) :args ((or @t302 @t534 @t537))) % 0.60/0.81 (step @p912 :rule chain_m_resolution :premises (@p911 @p909 @p712) :args (@t534 @t341 (@list @t297 @t535))) % 0.60/0.81 (step @p913 :rule cnf_or_neg :args (@t301 1)) % 0.60/0.81 (step @p914 :rule reordering :premises (@p913) :args ((or @t302 @t301))) % 0.60/0.81 (step @p915 :rule chain_m_resolution :premises (@p914 @p909) :args (@t301 @t343 (@list @t297))) % 0.60/0.81 (step @p916 :rule chain_m_resolution :premises (@p851 @p722 @p850 @p845 @p915) :args ((not @t303) (@list true false false false) (@list @t310 @t309 @t306 @t301))) % 0.60/0.81 (step @p917 :rule cnf_or_neg :args (@t303 1)) % 0.60/0.81 (step @p918 :rule chain_m_resolution :premises (@p917 @p916) :args (@t300 @t335 (@list @t303))) % 0.60/0.81 (step @p919 :rule cnf_equiv_pos2 :args (@t612)) % 0.60/0.81 (step @p920 :rule reordering :premises (@p919) :args ((or @t299 @t615 @t614))) % 0.60/0.81 (step @p921 :rule chain_m_resolution :premises (@p920 @p918 @p861) :args (@t615 (@list true false) (@list @t299 @t612))) % 0.60/0.81 (assume-push @p982 @t346) % 0.60/0.81 (assume-push @p983 @t359) % 0.60/0.81 (assume-push @p984 @t534) % 0.60/0.81 (assume-push @p985 @t394) % 0.60/0.81 (assume-push @p986 @t421) % 0.60/0.81 (assume-push @p987 @t445) % 0.60/0.81 (assume-push @p988 @t455) % 0.60/0.81 (assume-push @p989 @t492) % 0.60/0.81 (assume-push @p990 @t309) % 0.60/0.81 (assume-push @p991 @t534) % 0.60/0.81 (step @p932 :rule trans :premises (@p984 @p850)) % 0.60/0.81 (step-pop @p992 :rule scope :premises (@p932)) % 0.60/0.81 (step-pop @p993 :rule scope :premises (@p992)) % 0.60/0.81 (step @p933 :rule process_scope :premises (@p993) :args (@t611)) % 0.60/0.81 (step @p936 :rule and_intro :premises (@p850 @p984)) % 0.60/0.81 (step @p937 :rule modus_ponens :premises (@p936 @p933)) % 0.60/0.81 (step-pop @p994 :rule scope :premises (@p937)) % 0.60/0.81 (step-pop @p995 :rule scope :premises (@p994)) % 0.60/0.81 (step-pop @p996 :rule scope :premises (@p995)) % 0.60/0.81 (step-pop @p997 :rule scope :premises (@p996)) % 0.60/0.81 (step-pop @p998 :rule scope :premises (@p997)) % 0.60/0.81 (step-pop @p999 :rule scope :premises (@p998)) % 0.60/0.81 (step-pop @p1000 :rule scope :premises (@p999)) % 0.60/0.81 (step-pop @p1001 :rule scope :premises (@p1000)) % 0.60/0.81 (step @p938 :rule process_scope :premises (@p1001) :args (@t611)) % 0.60/0.81 (step @p947 :rule implies_elim :premises (@p938)) % 0.60/0.81 (step @p948 :rule cnf_and_neg :args (@t624)) % 0.60/0.81 (step @p949 :rule resolution :premises (@p948 @p947) :args (true @t624)) % 0.60/0.81 (step @p950 :rule reordering :premises (@p949) :args ((or @t611 @t622 @t621 @t538 @t620 @t619 @t618 @t617 @t616))) % 0.60/0.81 (step @p951 false :rule chain_m_resolution :premises (@p950 @p921 @p912 @p660 @p551 @p539 @p501 @p460 @p363 @p332) :args (false (@list true false false false false false false false false) (@list @t611 @t534 @t492 @t455 @t445 @t421 @t394 @t359 @t346))) % 0.60/0.81 ) % 0.60/0.81 % SZS output end Proof % 0.60/0.81 % cvc5 exiting %------------------------------------------------------------------------------