%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT304+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 : n025.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 08:30:13 AM UTC 2026 % Result : Theorem 20.60s 20.89s % Output : Proof 20.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT304+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 06:18:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 20.60/20.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 20.60/20.89 --- Run --no-e-matching --full-saturate-quant at 6... % 20.60/20.89 % SZS status Theorem % 20.60/20.89 % SZS output start Proof % 20.60/20.89 ( % 20.60/20.89 (declare-sort $$unsorted 0) % 20.60/20.89 (declare-const tptp.k1_xboole_0 $$unsorted) % 20.60/20.89 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 20.60/20.89 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 20.60/20.89 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 20.60/20.89 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 20.60/20.89 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 20.60/20.89 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 20.60/20.89 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 20.60/20.89 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 20.60/20.89 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 20.60/20.89 (define @t1 () (@var "A" $$unsorted)) % 20.60/20.89 (define @t2 () (tptp.u1_struct_0 @t1)) % 20.60/20.89 (define @t3 () (tptp.m2_filter_2 @t2 @t1)) % 20.60/20.89 (define @t4 () (tptp.l3_lattices @t1)) % 20.60/20.89 (define @t5 () (tptp.v10_lattices @t1)) % 20.60/20.89 (define @t6 () (tptp.v3_struct_0 @t1)) % 20.60/20.89 (define @t7 () (not @t6)) % 20.60/20.89 (define @t8 () (and @t7 @t5 @t4)) % 20.60/20.89 (define @t9 () (@list @t1)) % 20.60/20.89 (define @t10 () (forall @t9 (=> @t8 @t3))) % 20.60/20.89 (define @t11 () (not @t10)) % 20.60/20.89 (define @t12 () (tptp.u1_lattices @t1)) % 20.60/20.89 (define @t13 () (tptp.u2_lattices @t1)) % 20.60/20.89 (define @t14 () (= @t1 (tptp.g3_lattices @t2 @t13 @t12))) % 20.60/20.89 (define @t15 () (tptp.v3_lattices @t1)) % 20.60/20.89 (define @t16 () (=> @t15 @t14)) % 20.60/20.89 (define @t17 () (forall @t9 (=> @t4 @t16))) % 20.60/20.89 (define @t18 () (@var "B" $$unsorted)) % 20.60/20.89 (define @t19 () (tptp.r2_hidden @t1 @t18)) % 20.60/20.89 (define @t20 () (@list @t1 @t18)) % 20.60/20.89 (define @t21 () (tptp.v1_funct_1 @t1)) % 20.60/20.89 (define @t22 () (tptp.v1_xboole_0 @t1)) % 20.60/20.89 (define @t23 () (tptp.v9_lattices @t1)) % 20.60/20.89 (define @t24 () (tptp.v8_lattices @t1)) % 20.60/20.89 (define @t25 () (tptp.v7_lattices @t1)) % 20.60/20.89 (define @t26 () (tptp.v6_lattices @t1)) % 20.60/20.89 (define @t27 () (tptp.v5_lattices @t1)) % 20.60/20.89 (define @t28 () (tptp.v4_lattices @t1)) % 20.60/20.89 (define @t29 () (and @t7 @t28 @t27 @t26 @t25 @t24 @t23)) % 20.60/20.89 (define @t30 () (and @t7 @t5)) % 20.60/20.89 (define @t31 () (@var "C" $$unsorted)) % 20.60/20.89 (define @t32 () (tptp.k2_zfmisc_1 @t1 @t18)) % 20.60/20.89 (define @t33 () (tptp.m1_subset_1 @t31 (tptp.k1_zfmisc_1 @t32))) % 20.60/20.89 (define @t34 () (@list @t1 @t18 @t31)) % 20.60/20.89 (define @t35 () (tptp.v1_relat_1 @t1)) % 20.60/20.89 (define @t36 () (and @t35 @t21 (tptp.v2_funct_1 @t1))) % 20.60/20.89 (define @t37 () (and @t35 @t22 @t21)) % 20.60/20.89 (define @t38 () (tptp.k1_lattice2 @t1)) % 20.60/20.89 (define @t39 () (= @t38 (tptp.g3_lattices @t2 @t12 @t13))) % 20.60/20.89 (define @t40 () (forall @t9 (=> @t4 @t39))) % 20.60/20.89 (define @t41 () (tptp.g3_lattices @t1 @t18 @t31)) % 20.60/20.89 (define @t42 () (tptp.v3_lattices @t41)) % 20.60/20.89 (define @t43 () (tptp.k2_zfmisc_1 @t1 @t1)) % 20.60/20.89 (define @t44 () (tptp.m1_relset_1 @t31 @t43 @t1)) % 20.60/20.89 (define @t45 () (tptp.v1_funct_2 @t31 @t43 @t1)) % 20.60/20.89 (define @t46 () (tptp.v1_funct_1 @t31)) % 20.60/20.89 (define @t47 () (tptp.m1_relset_1 @t18 @t43 @t1)) % 20.60/20.89 (define @t48 () (tptp.v1_funct_2 @t18 @t43 @t1)) % 20.60/20.89 (define @t49 () (tptp.v1_funct_1 @t18)) % 20.60/20.89 (define @t50 () (and @t49 @t48 @t47 @t46 @t45 @t44)) % 20.60/20.89 (define @t51 () (tptp.v3_lattices @t38)) % 20.60/20.89 (define @t52 () (and @t51 (tptp.l3_lattices @t38))) % 20.60/20.89 (define @t53 () (forall @t9 (=> @t4 @t52))) % 20.60/20.89 (define @t54 () (tptp.l1_struct_0 @t1)) % 20.60/20.89 (define @t55 () (tptp.l1_lattices @t1)) % 20.60/20.89 (define @t56 () (tptp.l2_lattices @t1)) % 20.60/20.89 (define @t57 () (and @t55 @t56)) % 20.60/20.89 (define @t58 () (forall @t9 (=> @t4 @t57))) % 20.60/20.89 (define @t59 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t2))) % 20.60/20.89 (define @t60 () (tptp.v1_xboole_0 @t18)) % 20.60/20.89 (define @t61 () (not @t60)) % 20.60/20.89 (define @t62 () (tptp.m1_filter_0 @t18 @t1)) % 20.60/20.89 (define @t63 () (@list @t18)) % 20.60/20.89 (define @t64 () (tptp.m2_lattice4 @t18 @t1)) % 20.60/20.89 (define @t65 () (and @t61 @t64)) % 20.60/20.89 (define @t66 () (tptp.m1_filter_2 @t18 @t1)) % 20.60/20.89 (define @t67 () (tptp.m2_filter_2 @t18 @t1)) % 20.60/20.89 (define @t68 () (tptp.m2_relset_1 @t31 @t1 @t18)) % 20.60/20.89 (define @t69 () (tptp.k2_zfmisc_1 @t2 @t2)) % 20.60/20.89 (define @t70 () (tptp.v1_funct_2 @t12 @t69 @t2)) % 20.60/20.89 (define @t71 () (tptp.v1_funct_1 @t12)) % 20.60/20.89 (define @t72 () (and @t71 @t70 (tptp.m2_relset_1 @t12 @t69 @t2))) % 20.60/20.89 (define @t73 () (forall @t9 (=> @t55 @t72))) % 20.60/20.89 (define @t74 () (tptp.v1_funct_2 @t13 @t69 @t2)) % 20.60/20.89 (define @t75 () (tptp.v1_funct_1 @t13)) % 20.60/20.89 (define @t76 () (and @t75 @t74 (tptp.m2_relset_1 @t13 @t69 @t2))) % 20.60/20.89 (define @t77 () (forall @t9 (=> @t56 @t76))) % 20.60/20.89 (define @t78 () (tptp.m1_relset_1 @t31 @t1 @t18)) % 20.60/20.89 (define @t79 () (@list @t31)) % 20.60/20.89 (define @t80 () (not (tptp.v3_struct_0 @t38))) % 20.60/20.89 (define @t81 () (and @t80 @t51)) % 20.60/20.89 (define @t82 () (and @t7 @t4)) % 20.60/20.89 (define @t83 () (forall @t9 (=> @t82 @t81))) % 20.60/20.89 (define @t84 () (and @t7 @t54)) % 20.60/20.89 (define @t85 () (tptp.k1_zfmisc_1 @t1)) % 20.60/20.89 (define @t86 () (tptp.v1_partfun1 @t13 @t69 @t2)) % 20.60/20.89 (define @t87 () (tptp.v1_relat_1 @t13)) % 20.60/20.89 (define @t88 () (not @t22)) % 20.60/20.89 (define @t89 () (tptp.v1_partfun1 @t12 @t69 @t2)) % 20.60/20.89 (define @t90 () (tptp.v1_relat_1 @t12)) % 20.60/20.89 (define @t91 () (and @t80 @t51 (tptp.v4_lattices @t38) (tptp.v5_lattices @t38) (tptp.v6_lattices @t38) (tptp.v7_lattices @t38) (tptp.v8_lattices @t38) (tptp.v9_lattices @t38) (tptp.v10_lattices @t38))) % 20.60/20.89 (define @t92 () (forall @t9 (=> @t8 @t91))) % 20.60/20.89 (define @t93 () (@var "F" $$unsorted)) % 20.60/20.89 (define @t94 () (@var "E" $$unsorted)) % 20.60/20.89 (define @t95 () (@var "D" $$unsorted)) % 20.60/20.89 (define @t96 () (and (= @t1 @t95) (= @t18 @t94) (= @t31 @t93))) % 20.60/20.89 (define @t97 () (= @t41 (tptp.g3_lattices @t95 @t94 @t93))) % 20.60/20.89 (define @t98 () (@list @t95 @t94 @t93)) % 20.60/20.89 (define @t99 () (forall @t98 (=> @t97 @t96))) % 20.60/20.89 (define @t100 () (=> @t50 @t99)) % 20.60/20.89 (define @t101 () (forall @t34 @t100)) % 20.60/20.89 (define @t102 () (tptp.m1_subset_1 @t18 @t85)) % 20.60/20.89 (define @t103 () (forall @t63 (= @t66 @t62))) % 20.60/20.89 (define @t104 () (=> @t8 @t103)) % 20.60/20.89 (define @t105 () (forall @t9 @t104)) % 20.60/20.89 (define @t106 () (tptp.m1_filter_0 @t2 @t1)) % 20.60/20.89 (define @t107 () (forall @t9 (=> @t8 @t106))) % 20.60/20.89 (define @t108 () (tptp.m1_subset_1 @t1 @t18)) % 20.60/20.89 (define @t109 () (forall @t63 (= @t67 (tptp.m1_filter_2 @t18 @t38)))) % 20.60/20.89 (define @t110 () (forall @t9 (=> @t8 @t109))) % 20.60/20.89 (define @t111 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t31))) % 20.60/20.89 (define @t112 () (@var "BOUND_VARIABLE_8169" $$unsorted)) % 20.60/20.89 (define @t113 () (= (tptp.m1_filter_0 @t112 @t1) (tptp.m1_filter_2 @t112 @t1))) % 20.60/20.89 (define @t114 () (not @t4)) % 20.60/20.89 (define @t115 () (not @t5)) % 20.60/20.89 (define @t116 () (or @t6 @t115 @t114 @t113)) % 20.60/20.89 (define @t117 () (forall (@list @t1 @t112) @t116)) % 20.60/20.89 (define @t118 () (@list @t112)) % 20.60/20.89 (define @t119 () (forall @t118 @t116)) % 20.60/20.89 (define @t120 () (forall @t118 @t113)) % 20.60/20.89 (define @t121 () (@list @t18)) % 20.60/20.89 (define @t122 () (or @t6 @t115 @t114 @t120)) % 20.60/20.89 (define @t123 () (forall @t63 (= @t62 @t66))) % 20.60/20.89 (define @t124 () (or @t6 @t115 @t114 @t123)) % 20.60/20.89 (define @t125 () (or @t6 @t115 @t114)) % 20.60/20.89 (define @t126 () (not @t7)) % 20.60/20.89 (define @t127 () (or @t126 @t115 @t114)) % 20.60/20.89 (define @t128 () (not @t8)) % 20.60/20.89 (define @t129 () (or @t6 @t115 @t114 @t3)) % 20.60/20.89 (define @t130 () (@quantifiers_skolemize (forall @t9 @t129) 0)) % 20.60/20.89 (define @t131 () (tptp.k1_lattice2 @t130)) % 20.60/20.89 (define @t132 () (tptp.u1_struct_0 @t130)) % 20.60/20.89 (define @t133 () (tptp.m1_filter_0 @t132 @t131)) % 20.60/20.89 (define @t134 () (tptp.m1_filter_2 @t132 @t131)) % 20.60/20.89 (define @t135 () (tptp.l3_lattices @t131)) % 20.60/20.89 (define @t136 () (not @t135)) % 20.60/20.89 (define @t137 () (tptp.v10_lattices @t131)) % 20.60/20.89 (define @t138 () (not @t137)) % 20.60/20.89 (define @t139 () (tptp.v3_struct_0 @t131)) % 20.60/20.89 (define @t140 () (or @t139 @t138 @t136 (= @t133 @t134))) % 20.60/20.89 (define @t141 () (= @t134 @t133)) % 20.60/20.89 (define @t142 () (or @t139 @t138 @t136 @t141)) % 20.60/20.89 (define @t143 () (@list false)) % 20.60/20.89 (define @t144 () (@list @t130)) % 20.60/20.89 (define @t145 () (tptp.l3_lattices @t130)) % 20.60/20.89 (define @t146 () (tptp.m2_filter_2 @t132 @t130)) % 20.60/20.89 (define @t147 () (not @t145)) % 20.60/20.89 (define @t148 () (tptp.v10_lattices @t130)) % 20.60/20.89 (define @t149 () (not @t148)) % 20.60/20.89 (define @t150 () (tptp.v3_struct_0 @t130)) % 20.60/20.89 (define @t151 () (or @t150 @t149 @t147 @t146)) % 20.60/20.89 (define @t152 () (@list true)) % 20.60/20.89 (define @t153 () (@list @t151)) % 20.60/20.89 (define @t154 () (tptp.v3_lattices @t131)) % 20.60/20.89 (define @t155 () (not @t139)) % 20.60/20.89 (define @t156 () (and @t155 @t154 (tptp.v4_lattices @t131) (tptp.v5_lattices @t131) (tptp.v6_lattices @t131) (tptp.v7_lattices @t131) (tptp.v8_lattices @t131) (tptp.v9_lattices @t131) @t137)) % 20.60/20.89 (define @t157 () (or @t150 @t149 @t147 @t156)) % 20.60/20.89 (define @t158 () (@list true false false false)) % 20.60/20.89 (define @t159 () (and @t154 @t135)) % 20.60/20.89 (define @t160 () (or @t147 @t159)) % 20.60/20.89 (define @t161 () (@list false false)) % 20.60/20.89 (define @t162 () (not @t159)) % 20.60/20.89 (define @t163 () (@list @t159)) % 20.60/20.89 (define @t164 () (and @t155 @t154)) % 20.60/20.89 (define @t165 () (or @t150 @t147 @t164)) % 20.60/20.89 (define @t166 () (@var "BOUND_VARIABLE_8188" $$unsorted)) % 20.60/20.89 (define @t167 () (= (tptp.m2_filter_2 @t166 @t1) (tptp.m1_filter_2 @t166 @t38))) % 20.60/20.89 (define @t168 () (or @t6 @t115 @t114 @t167)) % 20.60/20.89 (define @t169 () (@list @t166)) % 20.60/20.89 (define @t170 () (forall @t169 @t168)) % 20.60/20.89 (define @t171 () (forall @t169 @t167)) % 20.60/20.89 (define @t172 () (or @t6 @t115 @t114 @t171)) % 20.60/20.89 (define @t173 () (or @t6 @t115 @t114 @t109)) % 20.60/20.89 (define @t174 () (= @t146 @t134)) % 20.60/20.89 (define @t175 () (or @t150 @t149 @t147 @t174)) % 20.60/20.89 (define @t176 () (not @t134)) % 20.60/20.89 (define @t177 () (@list true false)) % 20.60/20.89 (define @t178 () (not @t133)) % 20.60/20.89 (define @t179 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 20.60/20.89 (define @t180 () (@var "BOUND_VARIABLE_8045" $$unsorted)) % 20.60/20.89 (define @t181 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 20.60/20.89 (define @t182 () (and (= @t1 @t181) (= @t18 @t180) (= @t31 @t179))) % 20.60/20.89 (define @t183 () (not (= @t41 (tptp.g3_lattices @t181 @t180 @t179)))) % 20.60/20.89 (define @t184 () (not @t44)) % 20.60/20.89 (define @t185 () (not @t45)) % 20.60/20.89 (define @t186 () (not @t46)) % 20.60/20.89 (define @t187 () (not @t47)) % 20.60/20.89 (define @t188 () (not @t48)) % 20.60/20.89 (define @t189 () (not @t49)) % 20.60/20.89 (define @t190 () (or @t183 @t182)) % 20.60/20.89 (define @t191 () (or @t189 @t188 @t187 @t186 @t185 @t184 @t190)) % 20.60/20.89 (define @t192 () (forall (@list @t1 @t18 @t31 @t181 @t180 @t179) @t191)) % 20.60/20.89 (define @t193 () (@list @t181 @t180 @t179)) % 20.60/20.89 (define @t194 () (forall @t193 @t191)) % 20.60/20.89 (define @t195 () (forall @t193 @t190)) % 20.60/20.89 (define @t196 () (or @t189 @t188 @t187 @t186 @t185 @t184 @t195)) % 20.60/20.89 (define @t197 () (forall @t98 (or (not @t97) @t96))) % 20.60/20.89 (define @t198 () (or @t189 @t188 @t187 @t186 @t185 @t184 @t197)) % 20.60/20.89 (define @t199 () (or @t189 @t188 @t187 @t186 @t185 @t184)) % 20.60/20.89 (define @t200 () (tptp.u1_lattices @t131)) % 20.60/20.89 (define @t201 () (tptp.u2_lattices @t131)) % 20.60/20.89 (define @t202 () (tptp.u1_struct_0 @t131)) % 20.60/20.89 (define @t203 () (tptp.u2_lattices @t130)) % 20.60/20.89 (define @t204 () (tptp.u1_lattices @t130)) % 20.60/20.89 (define @t205 () (not @t15)) % 20.60/20.89 (define @t206 () (@list @t131)) % 20.60/20.89 (define @t207 () (tptp.g3_lattices @t202 @t201 @t200)) % 20.60/20.89 (define @t208 () (= @t131 @t207)) % 20.60/20.89 (define @t209 () (not @t154)) % 20.60/20.89 (define @t210 () (or @t136 @t209 @t208)) % 20.60/20.89 (define @t211 () (tptp.g3_lattices @t132 @t204 @t203)) % 20.60/20.89 (define @t212 () (= @t131 @t211)) % 20.60/20.89 (define @t213 () (or @t147 @t212)) % 20.60/20.89 (define @t214 () (tptp.k2_zfmisc_1 @t132 @t132)) % 20.60/20.89 (define @t215 () (tptp.l2_lattices @t130)) % 20.60/20.89 (define @t216 () (tptp.l1_lattices @t130)) % 20.60/20.89 (define @t217 () (and @t216 @t215)) % 20.60/20.89 (define @t218 () (or @t147 @t217)) % 20.60/20.89 (define @t219 () (not @t217)) % 20.60/20.89 (define @t220 () (@list @t217)) % 20.60/20.89 (define @t221 () (tptp.m2_relset_1 @t204 @t214 @t132)) % 20.60/20.89 (define @t222 () (tptp.v1_funct_2 @t204 @t214 @t132)) % 20.60/20.89 (define @t223 () (tptp.v1_funct_1 @t204)) % 20.60/20.89 (define @t224 () (and @t223 @t222 @t221)) % 20.60/20.89 (define @t225 () (not @t216)) % 20.60/20.89 (define @t226 () (or @t225 @t224)) % 20.60/20.89 (define @t227 () (not @t224)) % 20.60/20.89 (define @t228 () (@list @t224)) % 20.60/20.89 (define @t229 () (tptp.m1_relset_1 @t204 @t214 @t132)) % 20.60/20.89 (define @t230 () (= @t221 @t229)) % 20.60/20.89 (define @t231 () (tptp.m2_relset_1 @t203 @t214 @t132)) % 20.60/20.89 (define @t232 () (tptp.v1_funct_2 @t203 @t214 @t132)) % 20.60/20.89 (define @t233 () (tptp.v1_funct_1 @t203)) % 20.60/20.89 (define @t234 () (and @t233 @t232 @t231)) % 20.60/20.89 (define @t235 () (not @t215)) % 20.60/20.89 (define @t236 () (or @t235 @t234)) % 20.60/20.89 (define @t237 () (not @t234)) % 20.60/20.89 (define @t238 () (@list @t234)) % 20.60/20.89 (define @t239 () (tptp.m1_relset_1 @t203 @t214 @t132)) % 20.60/20.89 (define @t240 () (= @t231 @t239)) % 20.60/20.89 (define @t241 () (= @t132 @t202)) % 20.60/20.89 (define @t242 () (and @t241 (= @t204 @t201) (= @t203 @t200))) % 20.60/20.89 (define @t243 () (= @t211 @t207)) % 20.60/20.89 (define @t244 () (not @t243)) % 20.60/20.89 (define @t245 () (not @t239)) % 20.60/20.89 (define @t246 () (not @t232)) % 20.60/20.89 (define @t247 () (not @t233)) % 20.60/20.89 (define @t248 () (not @t229)) % 20.60/20.89 (define @t249 () (not @t222)) % 20.60/20.89 (define @t250 () (not @t223)) % 20.60/20.89 (define @t251 () (or @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t242)) % 20.60/20.89 (define @t252 () (tptp.m1_filter_0 @t202 @t131)) % 20.60/20.89 (define @t253 () (or @t139 @t138 @t136 @t252)) % 20.60/20.89 (assume @p1 @t11) % 20.60/20.89 (assume @p2 @t17) % 20.60/20.89 (assume @p3 (forall @t20 (=> @t19 (not (tptp.r2_hidden @t18 @t1))))) % 20.60/20.89 (assume @p4 (forall @t9 (=> @t22 @t21))) % 20.60/20.89 (assume @p5 (forall @t9 (=> @t4 (=> @t30 @t29)))) % 20.60/20.89 (assume @p6 (forall @t34 (=> @t33 (tptp.v1_relat_1 @t31)))) % 20.60/20.89 (assume @p7 (forall @t9 (=> @t37 @t36))) % 20.60/20.89 (assume @p8 (forall @t9 (=> @t4 (=> @t29 @t30)))) % 20.60/20.89 (assume @p9 @t40) % 20.60/20.89 (assume @p10 (forall @t34 (=> @t50 (and @t42 (tptp.l3_lattices @t41))))) % 20.60/20.89 (assume @p11 @t53) % 20.60/20.89 (assume @p12 true) % 20.60/20.89 (assume @p13 (forall @t9 (=> @t55 @t54))) % 20.60/20.89 (assume @p14 (forall @t9 (=> @t56 @t54))) % 20.60/20.89 (assume @p15 @t58) % 20.60/20.89 (assume @p16 (forall @t9 (=> @t8 (forall @t63 (=> @t62 (and @t61 @t59)))))) % 20.60/20.89 (assume @p17 (forall @t9 (=> @t8 (forall @t63 (=> @t66 @t65))))) % 20.60/20.89 (assume @p18 (forall @t9 (=> @t8 (forall @t63 (=> @t67 @t65))))) % 20.60/20.89 (assume @p19 (forall @t9 (=> @t8 (forall @t63 (=> @t64 @t59))))) % 20.60/20.89 (assume @p20 (forall @t34 (=> @t68 @t33))) % 20.60/20.89 (assume @p21 @t73) % 20.60/20.89 (assume @p22 @t77) % 20.60/20.89 (assume @p23 (exists @t9 @t55)) % 20.60/20.89 (assume @p24 (exists @t9 @t54)) % 20.60/20.89 (assume @p25 (exists @t9 @t56)) % 20.60/20.89 (assume @p26 (exists @t9 @t4)) % 20.60/20.89 (assume @p27 (forall @t9 (=> @t8 (exists @t63 @t62)))) % 20.60/20.89 (assume @p28 (forall @t9 (=> @t8 (exists @t63 @t66)))) % 20.60/20.89 (assume @p29 (forall @t20 (exists @t79 @t78))) % 20.60/20.89 (assume @p30 (forall @t9 (exists @t63 (tptp.m1_subset_1 @t18 @t1)))) % 20.60/20.89 (assume @p31 (forall @t9 (=> @t8 (exists @t63 @t67)))) % 20.60/20.89 (assume @p32 (forall @t9 (=> @t8 (exists @t63 @t64)))) % 20.60/20.89 (assume @p33 (forall @t20 (exists @t79 @t68))) % 20.60/20.89 (assume @p34 @t83) % 20.60/20.89 (assume @p35 (forall @t9 (=> @t84 (not (tptp.v1_xboole_0 @t2))))) % 20.60/20.89 (assume @p36 (forall @t9 (not (tptp.v1_xboole_0 @t85)))) % 20.60/20.89 (assume @p37 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 20.60/20.89 (assume @p38 (forall @t9 (=> (and @t7 @t28 @t56) (and @t87 @t75 @t74 (tptp.v1_binop_1 @t13 @t2) @t86)))) % 20.60/20.89 (assume @p39 (forall @t9 (=> (and @t7 @t27 @t56) (and @t87 @t75 @t74 (tptp.v2_binop_1 @t13 @t2) @t86)))) % 20.60/20.89 (assume @p40 (forall @t34 (=> (and @t88 @t49 @t48 @t47 @t46 @t45 @t44) (and (not (tptp.v3_struct_0 @t41)) @t42)))) % 20.60/20.89 (assume @p41 (forall @t9 (=> (and @t7 @t26 @t55) (and @t90 @t71 @t70 (tptp.v1_binop_1 @t12 @t2) @t89)))) % 20.60/20.89 (assume @p42 (forall @t20 (=> (and @t88 @t61) (not (tptp.v1_xboole_0 @t32))))) % 20.60/20.89 (assume @p43 (forall @t9 (=> (and @t7 @t25 @t55) (and @t90 @t71 @t70 (tptp.v2_binop_1 @t12 @t2) @t89)))) % 20.60/20.89 (assume @p44 @t92) % 20.60/20.89 (assume @p45 @t101) % 20.60/20.89 (assume @p46 (exists @t9 (and @t35 @t21))) % 20.60/20.89 (assume @p47 (forall @t9 (=> @t8 (exists @t63 (and @t64 @t61))))) % 20.60/20.89 (assume @p48 (forall @t9 (=> @t88 (exists @t63 (and @t102 @t61))))) % 20.60/20.89 (assume @p49 (exists @t9 @t22)) % 20.60/20.89 (assume @p50 (exists @t9 @t37)) % 20.60/20.89 (assume @p51 (forall @t9 (exists @t63 (and @t102 @t60)))) % 20.60/20.89 (assume @p52 (exists @t9 @t88)) % 20.60/20.89 (assume @p53 (exists @t9 @t36)) % 20.60/20.89 (assume @p54 (exists @t9 (and @t4 @t15))) % 20.60/20.89 (assume @p55 (exists @t9 (and @t54 @t7))) % 20.60/20.89 (assume @p56 (forall @t9 (=> @t84 (exists @t63 (and @t59 @t61))))) % 20.60/20.89 (assume @p57 (exists @t9 (and @t4 @t7 @t15))) % 20.60/20.89 (assume @p58 (exists @t9 (and @t4 @t7 @t15 @t28 @t27 @t26 @t25 @t24 @t23 @t5))) % 20.60/20.89 (assume @p59 @t105) % 20.60/20.89 (assume @p60 (forall @t34 (= @t68 @t78))) % 20.60/20.89 (assume @p61 (forall @t20 (tptp.r1_tarski @t1 @t1))) % 20.60/20.89 (assume @p62 @t107) % 20.60/20.89 (assume @p63 (forall @t20 (=> @t19 @t108))) % 20.60/20.89 (assume @p64 @t110) % 20.60/20.89 (assume @p65 (forall @t20 (=> @t108 (or @t60 @t19)))) % 20.60/20.89 (assume @p66 (forall @t20 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t18)) (tptp.r1_tarski @t1 @t18)))) % 20.60/20.89 (assume @p67 (forall @t34 (=> (and @t19 @t111) (tptp.m1_subset_1 @t1 @t31)))) % 20.60/20.89 (assume @p68 (forall @t34 (not (and @t19 @t111 (tptp.v1_xboole_0 @t31))))) % 20.60/20.89 (assume @p69 (forall @t9 (=> @t22 (= @t1 tptp.k1_xboole_0)))) % 20.60/20.89 (assume @p70 (forall @t20 (not (and @t19 @t60)))) % 20.60/20.89 (assume @p71 (forall @t20 (not (and @t22 (not (= @t1 @t18)) @t60)))) % 20.60/20.89 (step @p72 :rule evaluate :args ((= true false))) % 20.60/20.89 (step @p73 :rule quant-merge-prenex :args ((= (forall @t9 @t119) @t117))) % 20.60/20.89 (step @p74 :rule alpha_equiv :args (@t120 (@list @t112) @t121)) % 20.60/20.89 (step @p75 :rule refl :args (@t114)) % 20.60/20.89 (step @p76 :rule refl :args (@t115)) % 20.60/20.89 (step @p77 :rule refl :args (@t6)) % 20.60/20.89 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75 @p74) :args (@t122)) % 20.60/20.89 (step @p79 :rule quant-miniscope-or :args ((= @t119 @t122))) % 20.60/20.89 (step @p80 :rule trans :premises (@p79 @p78)) % 20.60/20.89 (step @p81 :rule symm :premises (@p80)) % 20.60/20.89 (step @p82 :rule cong :premises (@p81) :args ((forall @t9 @t124))) % 20.60/20.89 (step @p83 :rule trans :premises (@p82 @p73)) % 20.60/20.89 (step @p84 :rule aci_norm :args ((= (or @t125 @t123) @t124))) % 20.60/20.89 (step @p85 :rule refl :args (@t123)) % 20.60/20.89 (step @p86 :rule bool-double-not-elim :args (@t6)) % 20.60/20.89 (step @p87 :rule nary_cong :premises (@p86 @p76 @p75) :args (@t127)) % 20.60/20.89 (step @p88 :rule aci_norm :args ((= (or @t126 (or @t115 @t114)) @t127))) % 20.60/20.89 (step @p89 :rule trans :premises (@p88 @p87)) % 20.60/20.89 (step @p90 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 20.60/20.89 (step @p91 :rule refl :args (@t126)) % 20.60/20.89 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t126 (not (and @t5 @t4))))) % 20.60/20.89 (step @p93 :rule bool-and-de-morgan :args (@t7 @t5 (and @t4))) % 20.60/20.89 (step @p94 :rule trans :premises (@p93 @p92)) % 20.60/20.89 (step @p95 :rule trans :premises (@p94 @p89)) % 20.60/20.89 (step @p96 :rule nary_cong :premises (@p95 @p85) :args ((or @t128 @t123))) % 20.60/20.89 (step @p97 :rule trans :premises (@p96 @p84)) % 20.60/20.89 (step @p98 :rule bool-impl-elim :args (@t8 @t123)) % 20.60/20.89 (step @p99 :rule trans :premises (@p98 @p97)) % 20.60/20.89 (step @p100 :rule cong :premises (@p99) :args ((forall @t9 (=> @t8 @t123)))) % 20.60/20.89 (step @p101 :rule trans :premises (@p100 @p83)) % 20.60/20.89 (step @p102 :rule eq-symm :args (@t66 @t62)) % 20.60/20.89 (step @p103 :rule cong :premises (@p102) :args (@t103)) % 20.60/20.89 (step @p104 :rule refl :args (@t8)) % 20.60/20.89 (step @p105 :rule cong :premises (@p104 @p103) :args (@t104)) % 20.60/20.89 (step @p106 :rule cong :premises (@p105) :args (@t105)) % 20.60/20.89 (step @p107 :rule trans :premises (@p106 @p101)) % 20.60/20.89 (step @p108 :rule eq_resolve :premises (@p59 @p107)) % 20.60/20.89 (step @p109 :rule eq-symm :args (@t133 @t134)) % 20.60/20.89 (step @p110 :rule refl :args (@t136)) % 20.60/20.89 (step @p111 :rule refl :args (@t138)) % 20.60/20.89 (step @p112 :rule refl :args (@t139)) % 20.60/20.89 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109) :args (@t140)) % 20.60/20.89 (step @p114 :rule refl :args (@t117)) % 20.60/20.89 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t117 @t140))) % 20.60/20.89 (assume-push @p374 @t117) % 20.60/20.89 (step @p117 :rule instantiate :premises (@p108) :args ((@list @t131 @t132))) % 20.60/20.89 (step-pop @p375 :rule scope :premises (@p117)) % 20.60/20.89 (step @p118 :rule process_scope :premises (@p375) :args (@t140)) % 20.60/20.89 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 20.60/20.89 (step @p121 :rule implies_elim :premises (@p120)) % 20.60/20.89 (step @p122 :rule chain_m_resolution :premises (@p121 @p108) :args (@t142 @t143 (@list @t117))) % 20.60/20.89 (step @p123 :rule aci_norm :args ((= (or @t125 @t91) (or @t6 @t115 @t114 @t91)))) % 20.60/20.89 (step @p124 :rule refl :args (@t91)) % 20.60/20.89 (step @p125 :rule nary_cong :premises (@p95 @p124) :args ((or @t128 @t91))) % 20.60/20.89 (step @p126 :rule trans :premises (@p125 @p123)) % 20.60/20.89 (step @p127 :rule bool-impl-elim :args (@t8 @t91)) % 20.60/20.89 (step @p128 :rule trans :premises (@p127 @p126)) % 20.60/20.89 (step @p129 :rule cong :premises (@p128) :args (@t92)) % 20.60/20.89 (step @p130 :rule eq_resolve :premises (@p44 @p129)) % 20.60/20.89 (step @p131 :rule instantiate :premises (@p130) :args (@t144)) % 20.60/20.89 (step @p132 :rule aci_norm :args ((= (or @t125 @t3) @t129))) % 20.60/20.89 (step @p133 :rule refl :args (@t3)) % 20.60/20.89 (step @p134 :rule nary_cong :premises (@p95 @p133) :args ((or @t128 @t3))) % 20.60/20.89 (step @p135 :rule trans :premises (@p134 @p132)) % 20.60/20.89 (step @p136 :rule bool-impl-elim :args (@t8 @t3)) % 20.60/20.89 (step @p137 :rule trans :premises (@p136 @p135)) % 20.60/20.89 (step @p138 :rule cong :premises (@p137) :args (@t10)) % 20.60/20.89 (step @p139 :rule cong :premises (@p138) :args (@t11)) % 20.60/20.89 (step @p140 :rule eq_resolve :premises (@p1 @p139)) % 20.60/20.89 (step @p141 :rule skolemize :premises (@p140)) % 20.60/20.89 (step @p142 :rule bool-double-not-elim :args (@t145)) % 20.60/20.89 (step @p143 :rule refl :args (@t151)) % 20.60/20.89 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t151 (not @t147)))) % 20.60/20.89 (step @p145 :rule cnf_or_neg :args (@t151 2)) % 20.60/20.89 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 20.60/20.89 (step @p147 :rule reordering :premises (@p146) :args ((or @t145 @t151))) % 20.60/20.89 (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t145 @t152 @t153)) % 20.60/20.89 (step @p149 :rule bool-double-not-elim :args (@t148)) % 20.60/20.89 (step @p150 :rule nary_cong :premises (@p143 @p149) :args ((or @t151 (not @t149)))) % 20.60/20.89 (step @p151 :rule cnf_or_neg :args (@t151 1)) % 20.60/20.89 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 20.60/20.89 (step @p153 :rule reordering :premises (@p152) :args ((or @t148 @t151))) % 20.60/20.89 (step @p154 :rule chain_m_resolution :premises (@p153 @p141) :args (@t148 @t152 @t153)) % 20.60/20.89 (step @p155 :rule cnf_or_neg :args (@t151 0)) % 20.60/20.89 (step @p156 :rule chain_m_resolution :premises (@p155 @p141) :args ((not @t150) @t152 @t153)) % 20.60/20.89 (step @p157 :rule cnf_or_pos :args (@t157)) % 20.60/20.89 (step @p158 :rule reordering :premises (@p157) :args ((or @t150 @t149 @t147 @t156 (not @t157)))) % 20.60/20.89 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p154 @p148 @p131) :args (@t156 @t158 (@list @t150 @t148 @t145 @t157))) % 20.60/20.89 (step @p160 :rule cnf_and_pos :args (@t156 8)) % 20.60/20.89 (step @p161 :rule reordering :premises (@p160) :args ((or @t137 (not @t156)))) % 20.60/20.89 (step @p162 :rule chain_m_resolution :premises (@p161 @p159) :args (@t137 @t143 (@list @t156))) % 20.60/20.89 (step @p163 :rule bool-impl-elim :args (@t4 @t52)) % 20.60/20.89 (step @p164 :rule cong :premises (@p163) :args (@t53)) % 20.60/20.89 (step @p165 :rule eq_resolve :premises (@p11 @p164)) % 20.60/20.89 (step @p166 :rule instantiate :premises (@p165) :args (@t144)) % 20.60/20.89 (step @p167 :rule cnf_or_pos :args (@t160)) % 20.60/20.89 (step @p168 :rule reordering :premises (@p167) :args ((or @t147 @t159 (not @t160)))) % 20.60/20.89 (step @p169 :rule chain_m_resolution :premises (@p168 @p148 @p166) :args (@t159 @t161 (@list @t145 @t160))) % 20.60/20.89 (step @p170 :rule cnf_and_pos :args (@t159 1)) % 20.60/20.89 (step @p171 :rule reordering :premises (@p170) :args ((or @t135 @t162))) % 20.60/20.89 (step @p172 :rule chain_m_resolution :premises (@p171 @p169) :args (@t135 @t143 @t163)) % 20.60/20.89 (step @p173 :rule aci_norm :args ((= (or (or @t6 @t114) @t81) (or @t6 @t114 @t81)))) % 20.60/20.89 (step @p174 :rule refl :args (@t81)) % 20.60/20.89 (step @p175 :rule nary_cong :premises (@p86 @p75) :args ((or @t126 @t114))) % 20.60/20.89 (step @p176 :rule bool-and-de-morgan :args (@t7 @t4 true)) % 20.60/20.89 (step @p177 :rule trans :premises (@p176 @p175)) % 20.60/20.89 (step @p178 :rule nary_cong :premises (@p177 @p174) :args ((or (not @t82) @t81))) % 20.60/20.89 (step @p179 :rule trans :premises (@p178 @p173)) % 20.60/20.89 (step @p180 :rule bool-impl-elim :args (@t82 @t81)) % 20.60/20.89 (step @p181 :rule trans :premises (@p180 @p179)) % 20.60/20.89 (step @p182 :rule cong :premises (@p181) :args (@t83)) % 20.60/20.89 (step @p183 :rule eq_resolve :premises (@p34 @p182)) % 20.60/20.89 (step @p184 :rule instantiate :premises (@p183) :args (@t144)) % 20.60/20.89 (step @p185 :rule cnf_or_pos :args (@t165)) % 20.60/20.89 (step @p186 :rule reordering :premises (@p185) :args ((or @t150 @t147 @t164 (not @t165)))) % 20.60/20.89 (step @p187 :rule chain_m_resolution :premises (@p186 @p156 @p148 @p184) :args (@t164 (@list true false false) (@list @t150 @t145 @t165))) % 20.60/20.89 (step @p188 :rule cnf_and_pos :args (@t164 0)) % 20.60/20.89 (step @p189 :rule reordering :premises (@p188) :args ((or @t155 (not @t164)))) % 20.60/20.89 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t155 @t143 (@list @t164))) % 20.60/20.89 (step @p191 :rule cnf_or_pos :args (@t142)) % 20.60/20.89 (step @p192 :rule reordering :premises (@p191) :args ((or @t139 @t136 @t138 @t141 (not @t142)))) % 20.60/20.89 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p172 @p162 @p122) :args (@t141 @t158 (@list @t139 @t135 @t137 @t142))) % 20.60/20.89 (step @p194 :rule quant-merge-prenex :args ((= (forall @t9 @t170) (forall (@list @t1 @t166) @t168)))) % 20.60/20.89 (step @p195 :rule alpha_equiv :args (@t171 (@list @t166) @t121)) % 20.60/20.89 (step @p196 :rule nary_cong :premises (@p77 @p76 @p75 @p195) :args (@t172)) % 20.60/20.89 (step @p197 :rule quant-miniscope-or :args ((= @t170 @t172))) % 20.60/20.89 (step @p198 :rule trans :premises (@p197 @p196)) % 20.60/20.89 (step @p199 :rule symm :premises (@p198)) % 20.60/20.89 (step @p200 :rule cong :premises (@p199) :args ((forall @t9 @t173))) % 20.60/20.89 (step @p201 :rule trans :premises (@p200 @p194)) % 20.60/20.89 (step @p202 :rule aci_norm :args ((= (or @t125 @t109) @t173))) % 20.60/20.89 (step @p203 :rule refl :args (@t109)) % 20.60/20.89 (step @p204 :rule nary_cong :premises (@p95 @p203) :args ((or @t128 @t109))) % 20.60/20.89 (step @p205 :rule trans :premises (@p204 @p202)) % 20.60/20.89 (step @p206 :rule bool-impl-elim :args (@t8 @t109)) % 20.60/20.89 (step @p207 :rule trans :premises (@p206 @p205)) % 20.60/20.89 (step @p208 :rule cong :premises (@p207) :args (@t110)) % 20.60/20.89 (step @p209 :rule trans :premises (@p208 @p201)) % 20.60/20.89 (step @p210 :rule eq_resolve :premises (@p64 @p209)) % 20.60/20.89 (step @p211 :rule instantiate :premises (@p210) :args ((@list @t130 @t132))) % 20.60/20.89 (step @p212 :rule cnf_or_pos :args (@t175)) % 20.60/20.89 (step @p213 :rule reordering :premises (@p212) :args ((or @t150 @t149 @t147 @t174 (not @t175)))) % 20.60/20.89 (step @p214 :rule chain_m_resolution :premises (@p213 @p156 @p154 @p148 @p211) :args (@t174 @t158 (@list @t150 @t148 @t145 @t175))) % 20.60/20.89 (step @p215 :rule cnf_or_neg :args (@t151 3)) % 20.60/20.89 (step @p216 :rule chain_m_resolution :premises (@p215 @p141) :args ((not @t146) @t152 @t153)) % 20.60/20.89 (step @p217 :rule cnf_equiv_pos2 :args (@t174)) % 20.60/20.89 (step @p218 :rule reordering :premises (@p217) :args ((or @t146 @t176 (not @t174)))) % 20.60/20.89 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p214) :args (@t176 @t177 (@list @t146 @t174))) % 20.60/20.89 (step @p220 :rule cnf_equiv_pos2 :args (@t141)) % 20.60/20.89 (step @p221 :rule reordering :premises (@p220) :args ((or @t134 @t178 (not @t141)))) % 20.60/20.89 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p193) :args (@t178 @t177 (@list @t134 @t141))) % 20.60/20.89 (step @p223 :rule false_intro :premises (@p222)) % 20.60/20.89 (step @p224 :rule refl :args (@t131)) % 20.60/20.89 (step @p225 :rule aci_norm :args ((= @t191 (or @t189 @t188 @t187 @t186 @t185 @t184 @t183 @t182)))) % 20.60/20.89 (step @p226 :rule cong :premises (@p225) :args (@t192)) % 20.60/20.89 (step @p227 :rule quant-merge-prenex :args ((= (forall @t34 @t194) @t192))) % 20.60/20.89 (step @p228 :rule alpha_equiv :args (@t195 (@list @t181 @t180 @t179) (@list @t95 @t94 @t93))) % 20.60/20.89 (step @p229 :rule refl :args (@t184)) % 20.60/20.89 (step @p230 :rule refl :args (@t185)) % 20.60/20.89 (step @p231 :rule refl :args (@t186)) % 20.60/20.89 (step @p232 :rule refl :args (@t187)) % 20.60/20.89 (step @p233 :rule refl :args (@t188)) % 20.60/20.89 (step @p234 :rule refl :args (@t189)) % 20.60/20.89 (step @p235 :rule nary_cong :premises (@p234 @p233 @p232 @p231 @p230 @p229 @p228) :args (@t196)) % 20.60/20.89 (step @p236 :rule quant-miniscope-or :args ((= @t194 @t196))) % 20.60/20.89 (step @p237 :rule trans :premises (@p236 @p235)) % 20.60/20.89 (step @p238 :rule symm :premises (@p237)) % 20.60/20.89 (step @p239 :rule cong :premises (@p238) :args ((forall @t34 @t198))) % 20.60/20.89 (step @p240 :rule trans :premises (@p239 @p227)) % 20.60/20.89 (step @p241 :rule trans :premises (@p240 @p226)) % 20.60/20.89 (step @p242 :rule aci_norm :args ((= (or @t199 @t197) @t198))) % 20.60/20.89 (step @p243 :rule refl :args (@t197)) % 20.60/20.89 (step @p244 :rule aci_norm :args ((= (or @t189 (or @t188 (or @t187 (or @t186 (or @t185 @t184))))) @t199))) % 20.60/20.89 (step @p245 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 20.60/20.89 (step @p246 :rule nary_cong :premises (@p231 @p245) :args ((or @t186 (not (and @t45 @t44))))) % 20.60/20.89 (step @p247 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44))) % 20.60/20.89 (step @p248 :rule trans :premises (@p247 @p246)) % 20.60/20.89 (step @p249 :rule nary_cong :premises (@p232 @p248) :args ((or @t187 (not (and @t46 @t45 @t44))))) % 20.60/20.89 (step @p250 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45 @t44))) % 20.60/20.89 (step @p251 :rule trans :premises (@p250 @p249)) % 20.60/20.89 (step @p252 :rule nary_cong :premises (@p233 @p251) :args ((or @t188 (not (and @t47 @t46 @t45 @t44))))) % 20.60/20.89 (step @p253 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45 @t44))) % 20.60/20.89 (step @p254 :rule trans :premises (@p253 @p252)) % 20.60/20.89 (step @p255 :rule nary_cong :premises (@p234 @p254) :args ((or @t189 (not (and @t48 @t47 @t46 @t45 @t44))))) % 20.60/20.89 (step @p256 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t46 @t45 @t44))) % 20.60/20.89 (step @p257 :rule trans :premises (@p256 @p255)) % 20.60/20.89 (step @p258 :rule trans :premises (@p257 @p244)) % 20.60/20.89 (step @p259 :rule nary_cong :premises (@p258 @p243) :args ((or (not @t50) @t197))) % 20.60/20.89 (step @p260 :rule trans :premises (@p259 @p242)) % 20.60/20.89 (step @p261 :rule bool-impl-elim :args (@t50 @t197)) % 20.60/20.89 (step @p262 :rule trans :premises (@p261 @p260)) % 20.60/20.89 (step @p263 :rule cong :premises (@p262) :args ((forall @t34 (=> @t50 @t197)))) % 20.60/20.89 (step @p264 :rule trans :premises (@p263 @p241)) % 20.60/20.89 (step @p265 :rule bool-impl-elim :args (@t97 @t96)) % 20.60/20.89 (step @p266 :rule cong :premises (@p265) :args (@t99)) % 20.60/20.89 (step @p267 :rule refl :args (@t50)) % 20.60/20.89 (step @p268 :rule cong :premises (@p267 @p266) :args (@t100)) % 20.60/20.89 (step @p269 :rule cong :premises (@p268) :args (@t101)) % 20.60/20.89 (step @p270 :rule trans :premises (@p269 @p264)) % 20.60/20.89 (step @p271 :rule eq_resolve :premises (@p45 @p270)) % 20.60/20.89 (step @p272 :rule instantiate :premises (@p271) :args ((@list @t132 @t204 @t203 @t202 @t201 @t200))) % 20.60/20.89 (step @p273 :rule aci_norm :args ((= (or @t114 (or @t205 @t14)) (or @t114 @t205 @t14)))) % 20.60/20.89 (step @p274 :rule bool-impl-elim :args (@t15 @t14)) % 20.60/20.89 (step @p275 :rule nary_cong :premises (@p75 @p274) :args ((or @t114 @t16))) % 20.60/20.89 (step @p276 :rule trans :premises (@p275 @p273)) % 20.60/20.89 (step @p277 :rule bool-impl-elim :args (@t4 @t16)) % 20.60/20.89 (step @p278 :rule trans :premises (@p277 @p276)) % 20.60/20.89 (step @p279 :rule cong :premises (@p278) :args (@t17)) % 20.60/20.89 (step @p280 :rule eq_resolve :premises (@p2 @p279)) % 20.60/20.89 (step @p281 :rule instantiate :premises (@p280) :args (@t206)) % 20.60/20.89 (step @p282 :rule cnf_and_pos :args (@t159 0)) % 20.60/20.89 (step @p283 :rule reordering :premises (@p282) :args ((or @t154 @t162))) % 20.60/20.89 (step @p284 :rule chain_m_resolution :premises (@p283 @p169) :args (@t154 @t143 @t163)) % 20.60/20.89 (step @p285 :rule cnf_or_pos :args (@t210)) % 20.60/20.89 (step @p286 :rule reordering :premises (@p285) :args ((or @t209 @t136 @t208 (not @t210)))) % 20.60/20.89 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p172 @p281) :args (@t208 (@list false false false) (@list @t154 @t135 @t210))) % 20.60/20.89 (step @p288 :rule bool-impl-elim :args (@t4 @t39)) % 20.60/20.89 (step @p289 :rule cong :premises (@p288) :args (@t40)) % 20.60/20.89 (step @p290 :rule eq_resolve :premises (@p9 @p289)) % 20.60/20.89 (step @p291 :rule instantiate :premises (@p290) :args (@t144)) % 20.60/20.89 (step @p292 :rule cnf_or_pos :args (@t213)) % 20.60/20.89 (step @p293 :rule reordering :premises (@p292) :args ((or @t147 @t212 (not @t213)))) % 20.60/20.89 (step @p294 :rule chain_m_resolution :premises (@p293 @p148 @p291) :args (@t212 @t161 (@list @t145 @t213))) % 20.60/20.89 (step @p295 :rule symm :premises (@p294)) % 20.60/20.89 (step @p296 :rule trans :premises (@p295 @p287)) % 20.60/20.89 (step @p297 :rule instantiate :premises (@p60) :args ((@list @t214 @t132 @t204))) % 20.60/20.89 (step @p298 :rule bool-impl-elim :args (@t55 @t72)) % 20.60/20.89 (step @p299 :rule cong :premises (@p298) :args (@t73)) % 20.60/20.89 (step @p300 :rule eq_resolve :premises (@p21 @p299)) % 20.60/20.89 (step @p301 :rule instantiate :premises (@p300) :args (@t144)) % 20.60/20.89 (step @p302 :rule bool-impl-elim :args (@t4 @t57)) % 20.60/20.89 (step @p303 :rule cong :premises (@p302) :args (@t58)) % 20.60/20.89 (step @p304 :rule eq_resolve :premises (@p15 @p303)) % 20.60/20.89 (step @p305 :rule instantiate :premises (@p304) :args (@t144)) % 20.60/20.89 (step @p306 :rule cnf_or_pos :args (@t218)) % 20.60/20.89 (step @p307 :rule reordering :premises (@p306) :args ((or @t147 @t217 (not @t218)))) % 20.60/20.89 (step @p308 :rule chain_m_resolution :premises (@p307 @p148 @p305) :args (@t217 @t161 (@list @t145 @t218))) % 20.60/20.89 (step @p309 :rule cnf_and_pos :args (@t217 0)) % 20.60/20.89 (step @p310 :rule reordering :premises (@p309) :args ((or @t216 @t219))) % 20.60/20.89 (step @p311 :rule chain_m_resolution :premises (@p310 @p308) :args (@t216 @t143 @t220)) % 20.60/20.89 (step @p312 :rule cnf_or_pos :args (@t226)) % 20.60/20.89 (step @p313 :rule reordering :premises (@p312) :args ((or @t225 @t224 (not @t226)))) % 20.60/20.89 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p301) :args (@t224 @t161 (@list @t216 @t226))) % 20.60/20.89 (step @p315 :rule cnf_and_pos :args (@t224 2)) % 20.60/20.89 (step @p316 :rule reordering :premises (@p315) :args ((or @t221 @t227))) % 20.60/20.89 (step @p317 :rule chain_m_resolution :premises (@p316 @p314) :args (@t221 @t143 @t228)) % 20.60/20.89 (step @p318 :rule cnf_equiv_pos1 :args (@t230)) % 20.60/20.89 (step @p319 :rule reordering :premises (@p318) :args ((or (not @t221) @t229 (not @t230)))) % 20.60/20.90 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p297) :args (@t229 @t161 (@list @t221 @t230))) % 20.60/20.90 (step @p321 :rule instantiate :premises (@p60) :args ((@list @t214 @t132 @t203))) % 20.60/20.90 (step @p322 :rule bool-impl-elim :args (@t56 @t76)) % 20.60/20.90 (step @p323 :rule cong :premises (@p322) :args (@t77)) % 20.60/20.90 (step @p324 :rule eq_resolve :premises (@p22 @p323)) % 20.60/20.90 (step @p325 :rule instantiate :premises (@p324) :args (@t144)) % 20.60/20.90 (step @p326 :rule cnf_and_pos :args (@t217 1)) % 20.60/20.90 (step @p327 :rule reordering :premises (@p326) :args ((or @t215 @t219))) % 20.60/20.90 (step @p328 :rule chain_m_resolution :premises (@p327 @p308) :args (@t215 @t143 @t220)) % 20.60/20.90 (step @p329 :rule cnf_or_pos :args (@t236)) % 20.60/20.90 (step @p330 :rule reordering :premises (@p329) :args ((or @t235 @t234 (not @t236)))) % 20.60/20.90 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p325) :args (@t234 @t161 (@list @t215 @t236))) % 20.60/20.90 (step @p332 :rule cnf_and_pos :args (@t234 2)) % 20.60/20.90 (step @p333 :rule reordering :premises (@p332) :args ((or @t231 @t237))) % 20.60/20.90 (step @p334 :rule chain_m_resolution :premises (@p333 @p331) :args (@t231 @t143 @t238)) % 20.60/20.90 (step @p335 :rule cnf_equiv_pos1 :args (@t240)) % 20.60/20.90 (step @p336 :rule reordering :premises (@p335) :args ((or (not @t231) @t239 (not @t240)))) % 20.60/20.90 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p321) :args (@t239 @t161 (@list @t231 @t240))) % 20.60/20.90 (step @p338 :rule cnf_and_pos :args (@t234 1)) % 20.60/20.90 (step @p339 :rule reordering :premises (@p338) :args ((or @t232 @t237))) % 20.60/20.90 (step @p340 :rule chain_m_resolution :premises (@p339 @p331) :args (@t232 @t143 @t238)) % 20.60/20.90 (step @p341 :rule cnf_and_pos :args (@t234 0)) % 20.60/20.90 (step @p342 :rule reordering :premises (@p341) :args ((or @t233 @t237))) % 20.60/20.90 (step @p343 :rule chain_m_resolution :premises (@p342 @p331) :args (@t233 @t143 @t238)) % 20.60/20.90 (step @p344 :rule cnf_and_pos :args (@t224 1)) % 20.60/20.90 (step @p345 :rule reordering :premises (@p344) :args ((or @t222 @t227))) % 20.60/20.90 (step @p346 :rule chain_m_resolution :premises (@p345 @p314) :args (@t222 @t143 @t228)) % 20.60/20.90 (step @p347 :rule cnf_and_pos :args (@t224 0)) % 20.60/20.90 (step @p348 :rule reordering :premises (@p347) :args ((or @t223 @t227))) % 20.60/20.90 (step @p349 :rule chain_m_resolution :premises (@p348 @p314) :args (@t223 @t143 @t228)) % 20.60/20.90 (step @p350 :rule cnf_or_pos :args (@t251)) % 20.60/20.90 (step @p351 :rule reordering :premises (@p350) :args ((or @t250 @t249 @t247 @t246 @t245 @t248 @t244 @t242 (not @t251)))) % 20.60/20.90 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p346 @p343 @p340 @p337 @p320 @p296 @p272) :args (@t242 (@list false false false false false false false false) (@list @t223 @t222 @t233 @t232 @t239 @t229 @t243 @t251))) % 20.60/20.90 (step @p353 :rule cnf_and_pos :args (@t242 0)) % 20.60/20.90 (step @p354 :rule reordering :premises (@p353) :args ((or @t241 (not @t242)))) % 20.60/20.90 (step @p355 :rule chain_m_resolution :premises (@p354 @p352) :args (@t241 @t143 (@list @t242))) % 20.60/20.90 (step @p356 :rule symm :premises (@p355)) % 20.60/20.90 (step @p357 :rule cong :premises (@p356 @p224) :args (@t252)) % 20.60/20.90 (step @p358 :rule aci_norm :args ((= (or @t125 @t106) (or @t6 @t115 @t114 @t106)))) % 20.60/20.90 (step @p359 :rule refl :args (@t106)) % 20.60/20.90 (step @p360 :rule nary_cong :premises (@p95 @p359) :args ((or @t128 @t106))) % 20.60/20.90 (step @p361 :rule trans :premises (@p360 @p358)) % 20.60/20.90 (step @p362 :rule bool-impl-elim :args (@t8 @t106)) % 20.60/20.90 (step @p363 :rule trans :premises (@p362 @p361)) % 20.60/20.90 (step @p364 :rule cong :premises (@p363) :args (@t107)) % 20.60/20.90 (step @p365 :rule eq_resolve :premises (@p62 @p364)) % 20.60/20.90 (step @p366 :rule instantiate :premises (@p365) :args (@t206)) % 20.60/20.90 (step @p367 :rule cnf_or_pos :args (@t253)) % 20.60/20.90 (step @p368 :rule reordering :premises (@p367) :args ((or @t139 @t136 @t138 @t252 (not @t253)))) % 20.60/20.90 (step @p369 :rule chain_m_resolution :premises (@p368 @p190 @p172 @p162 @p366) :args (@t252 @t158 (@list @t139 @t135 @t137 @t253))) % 20.60/20.90 (step @p370 :rule true_intro :premises (@p369)) % 20.60/20.90 (step @p371 :rule symm :premises (@p370)) % 20.60/20.90 (step @p372 :rule trans :premises (@p371 @p357 @p223)) % 20.60/20.90 (step @p373 false :rule eq_resolve :premises (@p372 @p72)) % 20.60/20.90 ) % 20.60/20.90 % SZS output end Proof % 20.60/20.90 % cvc5 exiting %------------------------------------------------------------------------------