%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT313+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:30:15 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT313+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 06:23:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k19_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.45/0.63 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.k17_filter_2 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.45/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t2 () (tptp.u1_struct_0 @t1)) % 0.45/0.63 (define @t3 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t4 () (tptp.k17_filter_2 @t1)) % 0.45/0.63 (define @t5 () (and (tptp.r1_filter_2 @t2 @t3 @t4) (= @t3 @t2))) % 0.45/0.63 (define @t6 () (tptp.k6_lattices @t1)) % 0.45/0.63 (define @t7 () (tptp.r2_hidden @t6 @t3)) % 0.45/0.63 (define @t8 () (tptp.v14_lattices @t1)) % 0.45/0.63 (define @t9 () (and @t8 @t7)) % 0.45/0.63 (define @t10 () (=> @t9 @t5)) % 0.45/0.63 (define @t11 () (tptp.m2_filter_2 @t3 @t1)) % 0.45/0.63 (define @t12 () (@list @t3)) % 0.45/0.63 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.45/0.63 (define @t14 () (tptp.l3_lattices @t1)) % 0.45/0.63 (define @t15 () (tptp.v10_lattices @t1)) % 0.45/0.63 (define @t16 () (tptp.v3_struct_0 @t1)) % 0.45/0.63 (define @t17 () (not @t16)) % 0.45/0.63 (define @t18 () (and @t17 @t15 @t14)) % 0.45/0.63 (define @t19 () (=> @t18 @t13)) % 0.45/0.63 (define @t20 () (@list @t1)) % 0.45/0.63 (define @t21 () (forall @t20 @t19)) % 0.45/0.63 (define @t22 () (not @t21)) % 0.45/0.63 (define @t23 () (tptp.r2_hidden @t1 @t3)) % 0.45/0.63 (define @t24 () (@list @t1 @t3)) % 0.45/0.63 (define @t25 () (tptp.v1_xboole_0 @t1)) % 0.45/0.63 (define @t26 () (and @t17 (tptp.v4_lattices @t1) (tptp.v5_lattices @t1) (tptp.v6_lattices @t1) (tptp.v7_lattices @t1) (tptp.v8_lattices @t1) (tptp.v9_lattices @t1))) % 0.45/0.63 (define @t27 () (and @t17 @t15)) % 0.45/0.63 (define @t28 () (=> @t18 (= @t4 @t2))) % 0.45/0.63 (define @t29 () (forall @t20 @t28)) % 0.45/0.63 (define @t30 () (tptp.m2_filter_2 @t4 @t1)) % 0.45/0.63 (define @t31 () (forall @t20 (=> @t18 @t30))) % 0.45/0.63 (define @t32 () (tptp.k19_filter_2 @t1 @t3)) % 0.45/0.63 (define @t33 () (tptp.k1_zfmisc_1 @t2)) % 0.45/0.63 (define @t34 () (tptp.m1_subset_1 @t3 @t33)) % 0.45/0.63 (define @t35 () (tptp.v1_xboole_0 @t3)) % 0.45/0.63 (define @t36 () (not @t35)) % 0.45/0.63 (define @t37 () (tptp.l2_lattices @t1)) % 0.45/0.63 (define @t38 () (tptp.l1_struct_0 @t1)) % 0.45/0.63 (define @t39 () (tptp.l1_lattices @t1)) % 0.45/0.63 (define @t40 () (forall @t20 (=> @t39 @t38))) % 0.45/0.63 (define @t41 () (and @t39 @t37)) % 0.45/0.63 (define @t42 () (forall @t20 (=> @t14 @t41))) % 0.45/0.63 (define @t43 () (tptp.m2_lattice4 @t3 @t1)) % 0.45/0.63 (define @t44 () (and @t36 @t43)) % 0.45/0.63 (define @t45 () (forall @t12 (=> @t11 @t44))) % 0.45/0.63 (define @t46 () (=> @t18 @t45)) % 0.45/0.63 (define @t47 () (forall @t20 @t46)) % 0.45/0.63 (define @t48 () (forall @t12 (=> @t43 @t34))) % 0.45/0.63 (define @t49 () (=> @t18 @t48)) % 0.45/0.63 (define @t50 () (forall @t20 @t49)) % 0.45/0.63 (define @t51 () (not (tptp.v1_xboole_0 @t2))) % 0.45/0.63 (define @t52 () (and @t17 @t38)) % 0.45/0.63 (define @t53 () (forall @t20 (=> @t52 @t51))) % 0.45/0.63 (define @t54 () (tptp.k1_zfmisc_1 @t1)) % 0.45/0.63 (define @t55 () (tptp.m1_subset_1 @t3 @t54)) % 0.45/0.63 (define @t56 () (not @t25)) % 0.45/0.63 (define @t57 () (@var "C" $$unsorted)) % 0.45/0.63 (define @t58 () (tptp.r1_filter_2 @t1 @t3 @t57)) % 0.45/0.63 (define @t59 () (= @t58 (= @t3 @t57))) % 0.45/0.63 (define @t60 () (tptp.m1_subset_1 @t57 @t54)) % 0.45/0.63 (define @t61 () (and @t56 @t55 @t60)) % 0.45/0.63 (define @t62 () (@list @t1 @t3 @t57)) % 0.45/0.63 (define @t63 () (forall @t62 (=> @t61 @t59))) % 0.45/0.63 (define @t64 () (tptp.r1_filter_2 @t1 @t57 @t3)) % 0.45/0.63 (define @t65 () (=> @t58 @t64)) % 0.45/0.63 (define @t66 () (forall @t62 (=> @t61 @t65))) % 0.45/0.63 (define @t67 () (tptp.m1_subset_1 @t1 @t3)) % 0.45/0.63 (define @t68 () (tptp.r1_filter_2 @t2 @t32 @t3)) % 0.45/0.63 (define @t69 () (forall @t12 (=> @t11 @t68))) % 0.45/0.63 (define @t70 () (=> @t18 @t69)) % 0.45/0.63 (define @t71 () (forall @t20 @t70)) % 0.45/0.63 (define @t72 () (tptp.r1_filter_2 @t2 @t32 @t4)) % 0.45/0.63 (define @t73 () (and @t72 (= @t32 @t2))) % 0.45/0.63 (define @t74 () (=> @t9 @t73)) % 0.45/0.63 (define @t75 () (and @t36 @t34)) % 0.45/0.63 (define @t76 () (=> @t75 @t74)) % 0.45/0.63 (define @t77 () (forall @t12 @t76)) % 0.45/0.63 (define @t78 () (=> @t18 @t77)) % 0.45/0.63 (define @t79 () (forall @t20 @t78)) % 0.45/0.63 (define @t80 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t57))) % 0.45/0.63 (define @t81 () (forall @t24 (not (and @t23 @t35)))) % 0.45/0.63 (define @t82 () (= @t2 @t4)) % 0.45/0.63 (define @t83 () (not @t14)) % 0.45/0.63 (define @t84 () (not @t15)) % 0.45/0.63 (define @t85 () (or @t16 @t84 @t83)) % 0.45/0.63 (define @t86 () (not @t17)) % 0.45/0.63 (define @t87 () (or @t86 @t84 @t83)) % 0.45/0.63 (define @t88 () (not @t18)) % 0.45/0.63 (define @t89 () (@var "BOUND_VARIABLE_7654" $$unsorted)) % 0.45/0.63 (define @t90 () (tptp.r1_filter_2 @t2 @t89 @t4)) % 0.45/0.63 (define @t91 () (not (tptp.r2_hidden @t6 @t89))) % 0.45/0.63 (define @t92 () (not (tptp.m2_filter_2 @t89 @t1))) % 0.45/0.63 (define @t93 () (not @t8)) % 0.45/0.63 (define @t94 () (@list @t1 @t89)) % 0.45/0.63 (define @t95 () (forall @t94 (or @t16 @t84 @t83 @t93 @t92 @t91 (and @t90 (= @t2 @t89))))) % 0.45/0.63 (define @t96 () (@quantifiers_skolemize @t95 0)) % 0.45/0.63 (define @t97 () (@list @t96)) % 0.45/0.63 (define @t98 () (and @t90 (= @t89 @t2))) % 0.45/0.63 (define @t99 () (or @t16 @t84 @t83 @t93 @t92 @t91 @t98)) % 0.45/0.63 (define @t100 () (or @t92 @t91 @t98)) % 0.45/0.63 (define @t101 () (or @t16 @t84 @t83 @t93 @t100)) % 0.45/0.63 (define @t102 () (forall @t94 @t101)) % 0.45/0.63 (define @t103 () (@list @t89)) % 0.45/0.63 (define @t104 () (forall @t103 @t101)) % 0.45/0.63 (define @t105 () (forall @t103 @t100)) % 0.45/0.63 (define @t106 () (@list @t3)) % 0.45/0.63 (define @t107 () (or @t16 @t84 @t83 @t93 @t105)) % 0.45/0.63 (define @t108 () (not @t7)) % 0.45/0.63 (define @t109 () (not @t11)) % 0.45/0.63 (define @t110 () (or @t109 @t108 @t5)) % 0.45/0.63 (define @t111 () (forall @t12 @t110)) % 0.45/0.63 (define @t112 () (or @t16 @t84 @t83 @t93 @t111)) % 0.45/0.63 (define @t113 () (or @t93 @t111)) % 0.45/0.63 (define @t114 () (or @t93 @t110)) % 0.45/0.63 (define @t115 () (or @t109 @t93 @t108 @t5)) % 0.45/0.63 (define @t116 () (or @t93 @t108 @t5)) % 0.45/0.63 (define @t117 () (or @t93 @t108)) % 0.45/0.63 (define @t118 () (not @t9)) % 0.45/0.63 (define @t119 () (tptp.u1_struct_0 @t96)) % 0.45/0.63 (define @t120 () (@quantifiers_skolemize @t95 1)) % 0.45/0.63 (define @t121 () (= @t120 @t119)) % 0.45/0.63 (define @t122 () (tptp.k17_filter_2 @t96)) % 0.45/0.63 (define @t123 () (tptp.r1_filter_2 @t119 @t120 @t122)) % 0.45/0.63 (define @t124 () (and @t123 @t121)) % 0.45/0.63 (define @t125 () (tptp.k6_lattices @t96)) % 0.45/0.63 (define @t126 () (tptp.r2_hidden @t125 @t120)) % 0.45/0.63 (define @t127 () (not @t126)) % 0.45/0.63 (define @t128 () (tptp.m2_filter_2 @t120 @t96)) % 0.45/0.63 (define @t129 () (not @t128)) % 0.45/0.63 (define @t130 () (tptp.v14_lattices @t96)) % 0.45/0.63 (define @t131 () (not @t130)) % 0.45/0.63 (define @t132 () (tptp.l3_lattices @t96)) % 0.45/0.63 (define @t133 () (not @t132)) % 0.45/0.63 (define @t134 () (tptp.v10_lattices @t96)) % 0.45/0.63 (define @t135 () (not @t134)) % 0.45/0.63 (define @t136 () (tptp.v3_struct_0 @t96)) % 0.45/0.63 (define @t137 () (or @t136 @t135 @t133 @t131 @t129 @t127 @t124)) % 0.45/0.63 (define @t138 () (not @t137)) % 0.45/0.63 (define @t139 () (not @t95)) % 0.45/0.63 (define @t140 () (and @t123 (= @t119 @t120))) % 0.45/0.63 (define @t141 () (or @t136 @t135 @t133 @t131 @t129 @t127 @t140)) % 0.45/0.63 (define @t142 () (not @t141)) % 0.45/0.63 (define @t143 () (@list true)) % 0.45/0.63 (define @t144 () (@list @t137)) % 0.45/0.63 (define @t145 () (= @t119 @t122)) % 0.45/0.63 (define @t146 () (or @t136 @t135 @t133 @t145)) % 0.45/0.63 (define @t147 () (@list true false false false)) % 0.45/0.63 (define @t148 () (not @t58)) % 0.45/0.63 (define @t149 () (not @t60)) % 0.45/0.63 (define @t150 () (not @t55)) % 0.45/0.63 (define @t151 () (or @t25 @t150 @t149)) % 0.45/0.63 (define @t152 () (not @t56)) % 0.45/0.63 (define @t153 () (or @t152 @t150 @t149)) % 0.45/0.63 (define @t154 () (not @t61)) % 0.45/0.63 (define @t155 () (@var "BOUND_VARIABLE_7894" $$unsorted)) % 0.45/0.63 (define @t156 () (tptp.r1_filter_2 @t2 (tptp.k19_filter_2 @t1 @t155) @t155)) % 0.45/0.63 (define @t157 () (not (tptp.m2_filter_2 @t155 @t1))) % 0.45/0.63 (define @t158 () (or @t157 @t156)) % 0.45/0.63 (define @t159 () (or @t16 @t84 @t83 @t158)) % 0.45/0.63 (define @t160 () (forall (@list @t1 @t155) @t159)) % 0.45/0.63 (define @t161 () (@list @t155)) % 0.45/0.63 (define @t162 () (forall @t161 @t159)) % 0.45/0.63 (define @t163 () (forall @t161 @t158)) % 0.45/0.63 (define @t164 () (or @t16 @t84 @t83 @t163)) % 0.45/0.63 (define @t165 () (forall @t12 (or @t109 @t68))) % 0.45/0.63 (define @t166 () (or @t16 @t84 @t83 @t165)) % 0.45/0.63 (define @t167 () (@list @t96 @t120)) % 0.45/0.63 (define @t168 () (tptp.k19_filter_2 @t96 @t120)) % 0.45/0.63 (define @t169 () (tptp.r1_filter_2 @t119 @t168 @t120)) % 0.45/0.63 (define @t170 () (or @t136 @t135 @t133 @t129 @t169)) % 0.45/0.63 (define @t171 () (@list true false false false false)) % 0.45/0.63 (define @t172 () (@var "BOUND_VARIABLE_7924" $$unsorted)) % 0.45/0.63 (define @t173 () (tptp.k19_filter_2 @t1 @t172)) % 0.45/0.63 (define @t174 () (and (tptp.r1_filter_2 @t2 @t173 @t4) (= @t2 @t173))) % 0.45/0.63 (define @t175 () (not (tptp.r2_hidden @t6 @t172))) % 0.45/0.63 (define @t176 () (not (tptp.m1_subset_1 @t172 @t33))) % 0.45/0.63 (define @t177 () (tptp.v1_xboole_0 @t172)) % 0.45/0.63 (define @t178 () (or @t177 @t176 @t175 @t174)) % 0.45/0.63 (define @t179 () (or @t16 @t84 @t83 @t93 @t178)) % 0.45/0.63 (define @t180 () (forall (@list @t1 @t172) @t179)) % 0.45/0.63 (define @t181 () (@list @t172)) % 0.45/0.63 (define @t182 () (forall @t181 @t179)) % 0.45/0.63 (define @t183 () (forall @t181 @t178)) % 0.45/0.63 (define @t184 () (or @t16 @t84 @t83 @t93 @t183)) % 0.45/0.63 (define @t185 () (and @t72 (= @t2 @t32))) % 0.45/0.63 (define @t186 () (not @t34)) % 0.45/0.63 (define @t187 () (or @t35 @t186 @t108 @t185)) % 0.45/0.63 (define @t188 () (forall @t12 @t187)) % 0.45/0.63 (define @t189 () (or @t16 @t84 @t83 @t93 @t188)) % 0.45/0.63 (define @t190 () (or @t93 @t188)) % 0.45/0.63 (define @t191 () (or @t93 @t187)) % 0.45/0.63 (define @t192 () (or @t35 @t186 @t93 @t108 @t185)) % 0.45/0.63 (define @t193 () (or @t93 @t108 @t185)) % 0.45/0.63 (define @t194 () (=> @t9 @t185)) % 0.45/0.63 (define @t195 () (@var "BOUND_VARIABLE_7758" $$unsorted)) % 0.45/0.63 (define @t196 () (tptp.m1_subset_1 @t195 @t33)) % 0.45/0.63 (define @t197 () (not (tptp.m2_lattice4 @t195 @t1))) % 0.45/0.63 (define @t198 () (or @t197 @t196)) % 0.45/0.63 (define @t199 () (or @t16 @t84 @t83 @t198)) % 0.45/0.63 (define @t200 () (forall (@list @t1 @t195) @t199)) % 0.45/0.63 (define @t201 () (@list @t195)) % 0.45/0.63 (define @t202 () (forall @t201 @t199)) % 0.45/0.63 (define @t203 () (forall @t201 @t198)) % 0.45/0.63 (define @t204 () (or @t16 @t84 @t83 @t203)) % 0.45/0.63 (define @t205 () (forall @t12 (or (not @t43) @t34))) % 0.45/0.63 (define @t206 () (or @t16 @t84 @t83 @t205)) % 0.45/0.63 (define @t207 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 0.45/0.63 (define @t208 () (and (not (tptp.v1_xboole_0 @t207)) (tptp.m2_lattice4 @t207 @t1))) % 0.45/0.63 (define @t209 () (not (tptp.m2_filter_2 @t207 @t1))) % 0.45/0.63 (define @t210 () (or @t209 @t208)) % 0.45/0.63 (define @t211 () (or @t16 @t84 @t83 @t210)) % 0.45/0.63 (define @t212 () (forall (@list @t1 @t207) @t211)) % 0.45/0.63 (define @t213 () (@list @t207)) % 0.45/0.63 (define @t214 () (forall @t213 @t211)) % 0.45/0.63 (define @t215 () (forall @t213 @t210)) % 0.45/0.63 (define @t216 () (or @t16 @t84 @t83 @t215)) % 0.45/0.63 (define @t217 () (forall @t12 (or @t109 @t44))) % 0.45/0.63 (define @t218 () (or @t16 @t84 @t83 @t217)) % 0.45/0.63 (define @t219 () (tptp.m2_lattice4 @t120 @t96)) % 0.45/0.63 (define @t220 () (tptp.v1_xboole_0 @t120)) % 0.45/0.63 (define @t221 () (not @t220)) % 0.45/0.63 (define @t222 () (and @t221 @t219)) % 0.45/0.63 (define @t223 () (or @t136 @t135 @t133 @t129 @t222)) % 0.45/0.63 (define @t224 () (@list false)) % 0.45/0.63 (define @t225 () (tptp.k1_zfmisc_1 @t119)) % 0.45/0.63 (define @t226 () (tptp.m1_subset_1 @t120 @t225)) % 0.45/0.63 (define @t227 () (not @t219)) % 0.45/0.63 (define @t228 () (or @t136 @t135 @t133 @t227 @t226)) % 0.45/0.63 (define @t229 () (or @t127 @t221)) % 0.45/0.63 (define @t230 () (@list false false)) % 0.45/0.63 (define @t231 () (= @t119 @t168)) % 0.45/0.63 (define @t232 () (and (tptp.r1_filter_2 @t119 @t168 @t122) @t231)) % 0.45/0.63 (define @t233 () (not @t226)) % 0.45/0.63 (define @t234 () (or @t136 @t135 @t133 @t131 @t220 @t233 @t127 @t232)) % 0.45/0.63 (define @t235 () (tptp.r1_filter_2 @t119 @t122 @t120)) % 0.45/0.63 (define @t236 () (@list @t96 @t122)) % 0.45/0.63 (define @t237 () (tptp.m2_filter_2 @t122 @t96)) % 0.45/0.63 (define @t238 () (or @t136 @t135 @t133 @t237)) % 0.45/0.63 (define @t239 () (tptp.m2_lattice4 @t122 @t96)) % 0.45/0.63 (define @t240 () (and (not (tptp.v1_xboole_0 @t122)) @t239)) % 0.45/0.63 (define @t241 () (not @t237)) % 0.45/0.63 (define @t242 () (or @t136 @t135 @t133 @t241 @t240)) % 0.45/0.63 (define @t243 () (tptp.m1_subset_1 @t122 @t225)) % 0.45/0.63 (define @t244 () (not @t239)) % 0.45/0.63 (define @t245 () (or @t136 @t135 @t133 @t244 @t243)) % 0.45/0.63 (define @t246 () (not @t38)) % 0.45/0.63 (define @t247 () (tptp.l1_lattices @t96)) % 0.45/0.63 (define @t248 () (and @t247 (tptp.l2_lattices @t96))) % 0.45/0.63 (define @t249 () (or @t133 @t248)) % 0.45/0.63 (define @t250 () (tptp.l1_struct_0 @t96)) % 0.45/0.63 (define @t251 () (not @t247)) % 0.45/0.63 (define @t252 () (or @t251 @t250)) % 0.45/0.63 (define @t253 () (tptp.v1_xboole_0 @t119)) % 0.45/0.63 (define @t254 () (not @t253)) % 0.45/0.63 (define @t255 () (not @t250)) % 0.45/0.63 (define @t256 () (or @t136 @t255 @t254)) % 0.45/0.63 (define @t257 () (not @t235)) % 0.45/0.63 (define @t258 () (not @t243)) % 0.45/0.63 (define @t259 () (or @t253 @t258 @t233 @t257 @t123)) % 0.45/0.63 (define @t260 () (not @t121)) % 0.45/0.63 (define @t261 () (= @t120 @t122)) % 0.45/0.63 (define @t262 () (= @t123 @t261)) % 0.45/0.63 (define @t263 () (or @t253 @t233 @t258 @t262)) % 0.45/0.63 (define @t264 () (not @t261)) % 0.45/0.63 (define @t265 () (not @t145)) % 0.45/0.63 (define @t266 () (and @t260 @t145)) % 0.45/0.63 (assume @p1 @t22) % 0.45/0.63 (assume @p2 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t3 @t1))))) % 0.45/0.63 (assume @p3 (forall @t20 (=> @t25 (tptp.v1_funct_1 @t1)))) % 0.45/0.63 (assume @p4 (forall @t20 (=> @t14 (=> @t27 @t26)))) % 0.45/0.63 (assume @p5 (forall @t20 (=> @t14 (=> @t26 @t27)))) % 0.45/0.63 (assume @p6 @t29) % 0.45/0.63 (assume @p7 @t31) % 0.45/0.63 (assume @p8 (forall @t24 (=> (and @t17 @t15 @t14 @t36 @t34) (tptp.m2_filter_2 @t32 @t1)))) % 0.45/0.63 (assume @p9 true) % 0.45/0.63 (assume @p10 (forall @t20 (=> (and @t17 @t37) (tptp.m1_subset_1 @t6 @t2)))) % 0.45/0.63 (assume @p11 @t40) % 0.45/0.63 (assume @p12 (forall @t20 (=> @t37 @t38))) % 0.45/0.63 (assume @p13 @t42) % 0.45/0.63 (assume @p14 @t47) % 0.45/0.63 (assume @p15 @t50) % 0.45/0.63 (assume @p16 (exists @t20 @t39)) % 0.45/0.63 (assume @p17 (exists @t20 @t38)) % 0.45/0.63 (assume @p18 (exists @t20 @t37)) % 0.45/0.63 (assume @p19 (exists @t20 @t14)) % 0.45/0.63 (assume @p20 (forall @t20 (exists @t12 (tptp.m1_subset_1 @t3 @t1)))) % 0.45/0.63 (assume @p21 (forall @t20 (=> @t18 (exists @t12 @t11)))) % 0.45/0.63 (assume @p22 (forall @t20 (=> @t18 (exists @t12 @t43)))) % 0.45/0.63 (assume @p23 @t53) % 0.45/0.63 (assume @p24 (forall @t20 (not (tptp.v1_xboole_0 @t54)))) % 0.45/0.63 (assume @p25 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.45/0.63 (assume @p26 (forall @t20 (=> @t18 (exists @t12 (and @t43 @t36))))) % 0.45/0.63 (assume @p27 (forall @t20 (=> @t56 (exists @t12 (and @t55 @t36))))) % 0.45/0.63 (assume @p28 (exists @t20 @t25)) % 0.45/0.63 (assume @p29 (forall @t20 (exists @t12 (and @t55 @t35)))) % 0.45/0.63 (assume @p30 (exists @t20 @t56)) % 0.45/0.63 (assume @p31 (exists @t20 (and @t38 @t17))) % 0.45/0.63 (assume @p32 (forall @t20 (=> @t52 (exists @t12 (and @t34 @t36))))) % 0.45/0.63 (assume @p33 @t63) % 0.45/0.63 (assume @p34 (forall @t62 (=> @t61 (tptp.r1_filter_2 @t1 @t3 @t3)))) % 0.45/0.63 (assume @p35 (forall @t24 (tptp.r1_tarski @t1 @t1))) % 0.45/0.63 (assume @p36 @t66) % 0.45/0.63 (assume @p37 (forall @t24 (=> @t23 @t67))) % 0.45/0.63 (assume @p38 (forall @t24 (=> @t67 (or @t35 @t23)))) % 0.45/0.63 (assume @p39 @t71) % 0.45/0.63 (assume @p40 (forall @t24 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t1 @t3)))) % 0.45/0.63 (assume @p41 @t79) % 0.45/0.63 (assume @p42 (forall @t62 (=> (and @t23 @t80) (tptp.m1_subset_1 @t1 @t57)))) % 0.45/0.63 (assume @p43 (forall @t62 (not (and @t23 @t80 (tptp.v1_xboole_0 @t57))))) % 0.45/0.63 (assume @p44 (forall @t20 (=> @t25 (= @t1 tptp.k1_xboole_0)))) % 0.45/0.63 (assume @p45 @t81) % 0.45/0.63 (assume @p46 (forall @t24 (not (and @t25 (not (= @t1 @t3)) @t35)))) % 0.45/0.63 (step @p47 :rule aci_norm :args ((= (or @t85 @t82) (or @t16 @t84 @t83 @t82)))) % 0.45/0.63 (step @p48 :rule refl :args (@t82)) % 0.45/0.63 (step @p49 :rule refl :args (@t83)) % 0.45/0.63 (step @p50 :rule refl :args (@t84)) % 0.45/0.63 (step @p51 :rule bool-double-not-elim :args (@t16)) % 0.45/0.63 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t87)) % 0.45/0.63 (step @p53 :rule aci_norm :args ((= (or @t86 (or @t84 @t83)) @t87))) % 0.45/0.63 (step @p54 :rule trans :premises (@p53 @p52)) % 0.45/0.63 (step @p55 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.45/0.63 (step @p56 :rule refl :args (@t86)) % 0.45/0.63 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t86 (not (and @t15 @t14))))) % 0.45/0.63 (step @p58 :rule bool-and-de-morgan :args (@t17 @t15 (and @t14))) % 0.45/0.63 (step @p59 :rule trans :premises (@p58 @p57)) % 0.45/0.63 (step @p60 :rule trans :premises (@p59 @p54)) % 0.45/0.63 (step @p61 :rule nary_cong :premises (@p60 @p48) :args ((or @t88 @t82))) % 0.45/0.63 (step @p62 :rule trans :premises (@p61 @p47)) % 0.45/0.63 (step @p63 :rule bool-impl-elim :args (@t18 @t82)) % 0.45/0.63 (step @p64 :rule trans :premises (@p63 @p62)) % 0.45/0.63 (step @p65 :rule cong :premises (@p64) :args ((forall @t20 (=> @t18 @t82)))) % 0.45/0.63 (step @p66 :rule eq-symm :args (@t4 @t2)) % 0.45/0.63 (step @p67 :rule refl :args (@t18)) % 0.45/0.63 (step @p68 :rule cong :premises (@p67 @p66) :args (@t28)) % 0.45/0.63 (step @p69 :rule cong :premises (@p68) :args (@t29)) % 0.45/0.63 (step @p70 :rule trans :premises (@p69 @p65)) % 0.45/0.63 (step @p71 :rule eq_resolve :premises (@p6 @p70)) % 0.45/0.63 (step @p72 :rule instantiate :premises (@p71) :args (@t97)) % 0.45/0.63 (step @p73 :rule eq-symm :args (@t89 @t2)) % 0.45/0.63 (step @p74 :rule refl :args (@t90)) % 0.45/0.63 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t98)) % 0.45/0.63 (step @p76 :rule refl :args (@t91)) % 0.45/0.63 (step @p77 :rule refl :args (@t92)) % 0.45/0.63 (step @p78 :rule refl :args (@t93)) % 0.45/0.63 (step @p79 :rule refl :args (@t83)) % 0.45/0.63 (step @p80 :rule refl :args (@t84)) % 0.45/0.63 (step @p81 :rule refl :args (@t16)) % 0.45/0.63 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78 @p77 @p76 @p75) :args (@t99)) % 0.45/0.63 (step @p83 :rule aci_norm :args ((= @t101 @t99))) % 0.45/0.63 (step @p84 :rule trans :premises (@p83 @p82)) % 0.45/0.63 (step @p85 :rule cong :premises (@p84) :args (@t102)) % 0.45/0.63 (step @p86 :rule quant-merge-prenex :args ((= (forall @t20 @t104) @t102))) % 0.45/0.63 (step @p87 :rule alpha_equiv :args (@t105 (@list @t89) @t106)) % 0.45/0.63 (step @p88 :rule refl :args (@t93)) % 0.45/0.63 (step @p89 :rule refl :args (@t16)) % 0.45/0.63 (step @p90 :rule nary_cong :premises (@p89 @p50 @p49 @p88 @p87) :args (@t107)) % 0.45/0.63 (step @p91 :rule quant-miniscope-or :args ((= @t104 @t107))) % 0.45/0.63 (step @p92 :rule trans :premises (@p91 @p90)) % 0.45/0.63 (step @p93 :rule symm :premises (@p92)) % 0.45/0.63 (step @p94 :rule cong :premises (@p93) :args ((forall @t20 @t112))) % 0.45/0.63 (step @p95 :rule trans :premises (@p94 @p86)) % 0.45/0.63 (step @p96 :rule trans :premises (@p95 @p85)) % 0.45/0.63 (step @p97 :rule aci_norm :args ((= (or @t85 @t113) @t112))) % 0.45/0.63 (step @p98 :rule refl :args (@t113)) % 0.45/0.63 (step @p99 :rule nary_cong :premises (@p60 @p98) :args ((or @t88 @t113))) % 0.45/0.63 (step @p100 :rule trans :premises (@p99 @p97)) % 0.45/0.63 (step @p101 :rule bool-impl-elim :args (@t18 @t113)) % 0.45/0.63 (step @p102 :rule trans :premises (@p101 @p100)) % 0.45/0.63 (step @p103 :rule cong :premises (@p102) :args ((forall @t20 (=> @t18 @t113)))) % 0.45/0.63 (step @p104 :rule trans :premises (@p103 @p96)) % 0.45/0.63 (step @p105 :rule quant-miniscope-or :args ((= (forall @t12 @t114) @t113))) % 0.45/0.63 (step @p106 :rule aci_norm :args ((= @t115 @t114))) % 0.45/0.63 (step @p107 :rule cong :premises (@p106) :args ((forall @t12 @t115))) % 0.45/0.63 (step @p108 :rule trans :premises (@p107 @p105)) % 0.45/0.63 (step @p109 :rule aci_norm :args ((= (or @t109 @t116) @t115))) % 0.45/0.63 (step @p110 :rule aci_norm :args ((= (or @t117 @t5) @t116))) % 0.45/0.63 (step @p111 :rule refl :args (@t5)) % 0.45/0.63 (step @p112 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.45/0.63 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t118 @t5))) % 0.45/0.63 (step @p114 :rule trans :premises (@p113 @p110)) % 0.45/0.63 (step @p115 :rule bool-impl-elim :args (@t9 @t5)) % 0.45/0.63 (step @p116 :rule trans :premises (@p115 @p114)) % 0.45/0.63 (step @p117 :rule refl :args (@t109)) % 0.45/0.63 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t109 @t10))) % 0.45/0.63 (step @p119 :rule trans :premises (@p118 @p109)) % 0.45/0.63 (step @p120 :rule bool-impl-elim :args (@t11 @t10)) % 0.45/0.63 (step @p121 :rule trans :premises (@p120 @p119)) % 0.45/0.63 (step @p122 :rule cong :premises (@p121) :args (@t13)) % 0.45/0.63 (step @p123 :rule trans :premises (@p122 @p108)) % 0.45/0.63 (step @p124 :rule cong :premises (@p67 @p123) :args (@t19)) % 0.45/0.63 (step @p125 :rule cong :premises (@p124) :args (@t21)) % 0.45/0.63 (step @p126 :rule trans :premises (@p125 @p104)) % 0.45/0.63 (step @p127 :rule cong :premises (@p126) :args (@t22)) % 0.45/0.63 (step @p128 :rule eq_resolve :premises (@p1 @p127)) % 0.45/0.63 (step @p129 :rule refl :args (@t138)) % 0.45/0.63 (step @p130 :rule bool-double-not-elim :args (@t95)) % 0.45/0.63 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t139) @t138))) % 0.45/0.63 (step @p132 :rule eq-symm :args (@t119 @t120)) % 0.45/0.63 (step @p133 :rule refl :args (@t123)) % 0.45/0.63 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t140)) % 0.45/0.63 (step @p135 :rule refl :args (@t127)) % 0.45/0.63 (step @p136 :rule refl :args (@t129)) % 0.45/0.63 (step @p137 :rule refl :args (@t131)) % 0.45/0.63 (step @p138 :rule refl :args (@t133)) % 0.45/0.63 (step @p139 :rule refl :args (@t135)) % 0.45/0.63 (step @p140 :rule refl :args (@t136)) % 0.45/0.63 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p137 @p136 @p135 @p134) :args (@t141)) % 0.45/0.63 (step @p142 :rule cong :premises (@p141) :args (@t142)) % 0.45/0.63 (step @p143 :rule refl :args (@t139)) % 0.45/0.63 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t139 @t142))) % 0.45/0.63 (assume-push @p472 @t139) % 0.45/0.63 (step @p146 :rule skolemize :premises (@p128)) % 0.45/0.63 (step-pop @p473 :rule scope :premises (@p146)) % 0.45/0.63 (step @p147 :rule process_scope :premises (@p473) :args (@t142)) % 0.45/0.63 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 0.45/0.63 (step @p150 :rule implies_elim :premises (@p149)) % 0.45/0.63 (step @p151 :rule eq_resolve :premises (@p150 @p131)) % 0.45/0.63 (step @p152 :rule chain_m_resolution :premises (@p151 @p128) :args (@t138 @t143 (@list @t95))) % 0.45/0.63 (step @p153 :rule bool-double-not-elim :args (@t132)) % 0.45/0.63 (step @p154 :rule refl :args (@t137)) % 0.45/0.63 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t137 (not @t133)))) % 0.45/0.63 (step @p156 :rule cnf_or_neg :args (@t137 2)) % 0.45/0.63 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 0.45/0.63 (step @p158 :rule reordering :premises (@p157) :args ((or @t132 @t137))) % 0.45/0.63 (step @p159 :rule chain_m_resolution :premises (@p158 @p152) :args (@t132 @t143 @t144)) % 0.45/0.63 (step @p160 :rule bool-double-not-elim :args (@t134)) % 0.45/0.63 (step @p161 :rule nary_cong :premises (@p154 @p160) :args ((or @t137 (not @t135)))) % 0.45/0.63 (step @p162 :rule cnf_or_neg :args (@t137 1)) % 0.45/0.63 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 0.45/0.63 (step @p164 :rule reordering :premises (@p163) :args ((or @t134 @t137))) % 0.45/0.63 (step @p165 :rule chain_m_resolution :premises (@p164 @p152) :args (@t134 @t143 @t144)) % 0.45/0.63 (step @p166 :rule cnf_or_neg :args (@t137 0)) % 0.45/0.63 (step @p167 :rule chain_m_resolution :premises (@p166 @p152) :args ((not @t136) @t143 @t144)) % 0.45/0.63 (step @p168 :rule cnf_or_pos :args (@t146)) % 0.45/0.63 (step @p169 :rule reordering :premises (@p168) :args ((or @t136 @t135 @t133 @t145 (not @t146)))) % 0.45/0.63 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p165 @p159 @p72) :args (@t145 @t147 (@list @t136 @t134 @t132 @t146))) % 0.45/0.63 (step @p171 :rule aci_norm :args ((= (or @t151 (or @t148 @t64)) (or @t25 @t150 @t149 @t148 @t64)))) % 0.45/0.63 (step @p172 :rule bool-impl-elim :args (@t58 @t64)) % 0.45/0.63 (step @p173 :rule refl :args (@t149)) % 0.45/0.63 (step @p174 :rule refl :args (@t150)) % 0.45/0.63 (step @p175 :rule bool-double-not-elim :args (@t25)) % 0.45/0.63 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t153)) % 0.45/0.63 (step @p177 :rule aci_norm :args ((= (or @t152 (or @t150 @t149)) @t153))) % 0.45/0.63 (step @p178 :rule trans :premises (@p177 @p176)) % 0.45/0.63 (step @p179 :rule bool-and-de-morgan :args (@t55 @t60 true)) % 0.45/0.63 (step @p180 :rule refl :args (@t152)) % 0.45/0.63 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t152 (not (and @t55 @t60))))) % 0.45/0.63 (step @p182 :rule bool-and-de-morgan :args (@t56 @t55 (and @t60))) % 0.45/0.63 (step @p183 :rule trans :premises (@p182 @p181)) % 0.45/0.63 (step @p184 :rule trans :premises (@p183 @p178)) % 0.45/0.63 (step @p185 :rule nary_cong :premises (@p184 @p172) :args ((or @t154 @t65))) % 0.45/0.63 (step @p186 :rule trans :premises (@p185 @p171)) % 0.45/0.63 (step @p187 :rule bool-impl-elim :args (@t61 @t65)) % 0.45/0.63 (step @p188 :rule trans :premises (@p187 @p186)) % 0.45/0.63 (step @p189 :rule cong :premises (@p188) :args (@t66)) % 0.45/0.63 (step @p190 :rule eq_resolve :premises (@p36 @p189)) % 0.45/0.63 (step @p191 :rule instantiate :premises (@p190) :args ((@list @t119 @t122 @t120))) % 0.45/0.63 (step @p192 :rule aci_norm :args ((= @t159 (or @t16 @t84 @t83 @t157 @t156)))) % 0.45/0.63 (step @p193 :rule cong :premises (@p192) :args (@t160)) % 0.45/0.63 (step @p194 :rule quant-merge-prenex :args ((= (forall @t20 @t162) @t160))) % 0.45/0.63 (step @p195 :rule alpha_equiv :args (@t163 (@list @t155) @t106)) % 0.45/0.63 (step @p196 :rule nary_cong :premises (@p89 @p50 @p49 @p195) :args (@t164)) % 0.45/0.63 (step @p197 :rule quant-miniscope-or :args ((= @t162 @t164))) % 0.45/0.63 (step @p198 :rule trans :premises (@p197 @p196)) % 0.45/0.63 (step @p199 :rule symm :premises (@p198)) % 0.45/0.63 (step @p200 :rule cong :premises (@p199) :args ((forall @t20 @t166))) % 0.45/0.63 (step @p201 :rule trans :premises (@p200 @p194)) % 0.45/0.63 (step @p202 :rule trans :premises (@p201 @p193)) % 0.45/0.63 (step @p203 :rule aci_norm :args ((= (or @t85 @t165) @t166))) % 0.45/0.63 (step @p204 :rule refl :args (@t165)) % 0.45/0.63 (step @p205 :rule nary_cong :premises (@p60 @p204) :args ((or @t88 @t165))) % 0.45/0.63 (step @p206 :rule trans :premises (@p205 @p203)) % 0.45/0.63 (step @p207 :rule bool-impl-elim :args (@t18 @t165)) % 0.45/0.63 (step @p208 :rule trans :premises (@p207 @p206)) % 0.45/0.63 (step @p209 :rule cong :premises (@p208) :args ((forall @t20 (=> @t18 @t165)))) % 0.45/0.63 (step @p210 :rule trans :premises (@p209 @p202)) % 0.45/0.63 (step @p211 :rule bool-impl-elim :args (@t11 @t68)) % 0.45/0.63 (step @p212 :rule cong :premises (@p211) :args (@t69)) % 0.45/0.63 (step @p213 :rule cong :premises (@p67 @p212) :args (@t70)) % 0.45/0.63 (step @p214 :rule cong :premises (@p213) :args (@t71)) % 0.45/0.63 (step @p215 :rule trans :premises (@p214 @p210)) % 0.45/0.63 (step @p216 :rule eq_resolve :premises (@p39 @p215)) % 0.45/0.63 (step @p217 :rule instantiate :premises (@p216) :args (@t167)) % 0.45/0.63 (step @p218 :rule bool-double-not-elim :args (@t128)) % 0.45/0.63 (step @p219 :rule nary_cong :premises (@p154 @p218) :args ((or @t137 (not @t129)))) % 0.45/0.63 (step @p220 :rule cnf_or_neg :args (@t137 4)) % 0.45/0.63 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.45/0.63 (step @p222 :rule reordering :premises (@p221) :args ((or @t128 @t137))) % 0.45/0.63 (step @p223 :rule chain_m_resolution :premises (@p222 @p152) :args (@t128 @t143 @t144)) % 0.45/0.63 (step @p224 :rule cnf_or_pos :args (@t170)) % 0.45/0.63 (step @p225 :rule reordering :premises (@p224) :args ((or @t136 @t135 @t133 @t129 @t169 (not @t170)))) % 0.45/0.63 (step @p226 :rule chain_m_resolution :premises (@p225 @p167 @p165 @p159 @p223 @p217) :args (@t169 @t171 (@list @t136 @t134 @t132 @t128 @t170))) % 0.45/0.63 (step @p227 :rule true_intro :premises (@p226)) % 0.45/0.63 (step @p228 :rule refl :args (@t120)) % 0.45/0.63 (step @p229 :rule aci_norm :args ((= @t179 (or @t16 @t84 @t83 @t93 @t177 @t176 @t175 @t174)))) % 0.45/0.63 (step @p230 :rule cong :premises (@p229) :args (@t180)) % 0.45/0.63 (step @p231 :rule quant-merge-prenex :args ((= (forall @t20 @t182) @t180))) % 0.45/0.63 (step @p232 :rule alpha_equiv :args (@t183 (@list @t172) @t106)) % 0.45/0.63 (step @p233 :rule nary_cong :premises (@p89 @p50 @p49 @p88 @p232) :args (@t184)) % 0.45/0.63 (step @p234 :rule quant-miniscope-or :args ((= @t182 @t184))) % 0.45/0.63 (step @p235 :rule trans :premises (@p234 @p233)) % 0.45/0.63 (step @p236 :rule symm :premises (@p235)) % 0.45/0.63 (step @p237 :rule cong :premises (@p236) :args ((forall @t20 @t189))) % 0.45/0.63 (step @p238 :rule trans :premises (@p237 @p231)) % 0.45/0.63 (step @p239 :rule trans :premises (@p238 @p230)) % 0.45/0.63 (step @p240 :rule aci_norm :args ((= (or @t85 @t190) @t189))) % 0.45/0.63 (step @p241 :rule refl :args (@t190)) % 0.45/0.63 (step @p242 :rule nary_cong :premises (@p60 @p241) :args ((or @t88 @t190))) % 0.45/0.63 (step @p243 :rule trans :premises (@p242 @p240)) % 0.45/0.63 (step @p244 :rule bool-impl-elim :args (@t18 @t190)) % 0.45/0.63 (step @p245 :rule trans :premises (@p244 @p243)) % 0.45/0.63 (step @p246 :rule cong :premises (@p245) :args ((forall @t20 (=> @t18 @t190)))) % 0.45/0.63 (step @p247 :rule trans :premises (@p246 @p239)) % 0.45/0.63 (step @p248 :rule quant-miniscope-or :args ((= (forall @t12 @t191) @t190))) % 0.45/0.63 (step @p249 :rule aci_norm :args ((= @t192 @t191))) % 0.45/0.63 (step @p250 :rule cong :premises (@p249) :args ((forall @t12 @t192))) % 0.45/0.63 (step @p251 :rule trans :premises (@p250 @p248)) % 0.45/0.63 (step @p252 :rule aci_norm :args ((= (or (or @t35 @t186) @t193) @t192))) % 0.45/0.63 (step @p253 :rule aci_norm :args ((= (or @t117 @t185) @t193))) % 0.45/0.63 (step @p254 :rule refl :args (@t185)) % 0.45/0.63 (step @p255 :rule nary_cong :premises (@p112 @p254) :args ((or @t118 @t185))) % 0.45/0.63 (step @p256 :rule trans :premises (@p255 @p253)) % 0.45/0.63 (step @p257 :rule bool-impl-elim :args (@t9 @t185)) % 0.45/0.63 (step @p258 :rule trans :premises (@p257 @p256)) % 0.45/0.63 (step @p259 :rule refl :args (@t186)) % 0.45/0.63 (step @p260 :rule bool-double-not-elim :args (@t35)) % 0.45/0.63 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or (not @t36) @t186))) % 0.45/0.63 (step @p262 :rule bool-and-de-morgan :args (@t36 @t34 true)) % 0.45/0.63 (step @p263 :rule trans :premises (@p262 @p261)) % 0.45/0.63 (step @p264 :rule nary_cong :premises (@p263 @p258) :args ((or (not @t75) @t194))) % 0.45/0.63 (step @p265 :rule trans :premises (@p264 @p252)) % 0.45/0.63 (step @p266 :rule bool-impl-elim :args (@t75 @t194)) % 0.45/0.63 (step @p267 :rule trans :premises (@p266 @p265)) % 0.45/0.63 (step @p268 :rule cong :premises (@p267) :args ((forall @t12 (=> @t75 @t194)))) % 0.45/0.63 (step @p269 :rule trans :premises (@p268 @p251)) % 0.45/0.63 (step @p270 :rule eq-symm :args (@t32 @t2)) % 0.45/0.63 (step @p271 :rule refl :args (@t72)) % 0.45/0.63 (step @p272 :rule nary_cong :premises (@p271 @p270) :args (@t73)) % 0.45/0.63 (step @p273 :rule refl :args (@t9)) % 0.45/0.63 (step @p274 :rule cong :premises (@p273 @p272) :args (@t74)) % 0.45/0.63 (step @p275 :rule refl :args (@t75)) % 0.45/0.63 (step @p276 :rule cong :premises (@p275 @p274) :args (@t76)) % 0.45/0.63 (step @p277 :rule cong :premises (@p276) :args (@t77)) % 0.45/0.63 (step @p278 :rule trans :premises (@p277 @p269)) % 0.45/0.63 (step @p279 :rule cong :premises (@p67 @p278) :args (@t78)) % 0.45/0.63 (step @p280 :rule cong :premises (@p279) :args (@t79)) % 0.45/0.63 (step @p281 :rule trans :premises (@p280 @p247)) % 0.45/0.63 (step @p282 :rule eq_resolve :premises (@p41 @p281)) % 0.45/0.63 (step @p283 :rule instantiate :premises (@p282) :args (@t167)) % 0.45/0.63 (step @p284 :rule aci_norm :args ((= @t199 (or @t16 @t84 @t83 @t197 @t196)))) % 0.45/0.63 (step @p285 :rule cong :premises (@p284) :args (@t200)) % 0.45/0.63 (step @p286 :rule quant-merge-prenex :args ((= (forall @t20 @t202) @t200))) % 0.45/0.63 (step @p287 :rule alpha_equiv :args (@t203 (@list @t195) @t106)) % 0.45/0.63 (step @p288 :rule nary_cong :premises (@p89 @p50 @p49 @p287) :args (@t204)) % 0.45/0.63 (step @p289 :rule quant-miniscope-or :args ((= @t202 @t204))) % 0.45/0.63 (step @p290 :rule trans :premises (@p289 @p288)) % 0.45/0.63 (step @p291 :rule symm :premises (@p290)) % 0.45/0.63 (step @p292 :rule cong :premises (@p291) :args ((forall @t20 @t206))) % 0.45/0.63 (step @p293 :rule trans :premises (@p292 @p286)) % 0.45/0.63 (step @p294 :rule trans :premises (@p293 @p285)) % 0.45/0.63 (step @p295 :rule aci_norm :args ((= (or @t85 @t205) @t206))) % 0.45/0.63 (step @p296 :rule refl :args (@t205)) % 0.45/0.63 (step @p297 :rule nary_cong :premises (@p60 @p296) :args ((or @t88 @t205))) % 0.45/0.63 (step @p298 :rule trans :premises (@p297 @p295)) % 0.45/0.63 (step @p299 :rule bool-impl-elim :args (@t18 @t205)) % 0.45/0.63 (step @p300 :rule trans :premises (@p299 @p298)) % 0.45/0.63 (step @p301 :rule cong :premises (@p300) :args ((forall @t20 (=> @t18 @t205)))) % 0.45/0.63 (step @p302 :rule trans :premises (@p301 @p294)) % 0.45/0.63 (step @p303 :rule bool-impl-elim :args (@t43 @t34)) % 0.45/0.63 (step @p304 :rule cong :premises (@p303) :args (@t48)) % 0.45/0.63 (step @p305 :rule cong :premises (@p67 @p304) :args (@t49)) % 0.45/0.63 (step @p306 :rule cong :premises (@p305) :args (@t50)) % 0.45/0.63 (step @p307 :rule trans :premises (@p306 @p302)) % 0.45/0.63 (step @p308 :rule eq_resolve :premises (@p15 @p307)) % 0.45/0.63 (step @p309 :rule instantiate :premises (@p308) :args (@t167)) % 0.45/0.63 (step @p310 :rule aci_norm :args ((= @t211 (or @t16 @t84 @t83 @t209 @t208)))) % 0.45/0.63 (step @p311 :rule cong :premises (@p310) :args (@t212)) % 0.45/0.63 (step @p312 :rule quant-merge-prenex :args ((= (forall @t20 @t214) @t212))) % 0.45/0.63 (step @p313 :rule alpha_equiv :args (@t215 (@list @t207) @t106)) % 0.45/0.63 (step @p314 :rule nary_cong :premises (@p89 @p50 @p49 @p313) :args (@t216)) % 0.45/0.63 (step @p315 :rule quant-miniscope-or :args ((= @t214 @t216))) % 0.45/0.63 (step @p316 :rule trans :premises (@p315 @p314)) % 0.45/0.63 (step @p317 :rule symm :premises (@p316)) % 0.45/0.63 (step @p318 :rule cong :premises (@p317) :args ((forall @t20 @t218))) % 0.45/0.63 (step @p319 :rule trans :premises (@p318 @p312)) % 0.45/0.63 (step @p320 :rule trans :premises (@p319 @p311)) % 0.45/0.63 (step @p321 :rule aci_norm :args ((= (or @t85 @t217) @t218))) % 0.45/0.63 (step @p322 :rule refl :args (@t217)) % 0.45/0.63 (step @p323 :rule nary_cong :premises (@p60 @p322) :args ((or @t88 @t217))) % 0.45/0.63 (step @p324 :rule trans :premises (@p323 @p321)) % 0.45/0.63 (step @p325 :rule bool-impl-elim :args (@t18 @t217)) % 0.45/0.63 (step @p326 :rule trans :premises (@p325 @p324)) % 0.45/0.63 (step @p327 :rule cong :premises (@p326) :args ((forall @t20 (=> @t18 @t217)))) % 0.45/0.63 (step @p328 :rule trans :premises (@p327 @p320)) % 0.45/0.63 (step @p329 :rule bool-impl-elim :args (@t11 @t44)) % 0.45/0.63 (step @p330 :rule cong :premises (@p329) :args (@t45)) % 0.45/0.63 (step @p331 :rule cong :premises (@p67 @p330) :args (@t46)) % 0.45/0.63 (step @p332 :rule cong :premises (@p331) :args (@t47)) % 0.45/0.63 (step @p333 :rule trans :premises (@p332 @p328)) % 0.45/0.63 (step @p334 :rule eq_resolve :premises (@p14 @p333)) % 0.45/0.63 (step @p335 :rule instantiate :premises (@p334) :args (@t167)) % 0.45/0.63 (step @p336 :rule cnf_or_pos :args (@t223)) % 0.45/0.63 (step @p337 :rule reordering :premises (@p336) :args ((or @t136 @t135 @t133 @t129 @t222 (not @t223)))) % 0.45/0.63 (step @p338 :rule chain_m_resolution :premises (@p337 @p167 @p165 @p159 @p223 @p335) :args (@t222 @t171 (@list @t136 @t134 @t132 @t128 @t223))) % 0.45/0.63 (step @p339 :rule cnf_and_pos :args (@t222 1)) % 0.45/0.63 (step @p340 :rule reordering :premises (@p339) :args ((or @t219 (not @t222)))) % 0.45/0.63 (step @p341 :rule chain_m_resolution :premises (@p340 @p338) :args (@t219 @t224 (@list @t222))) % 0.45/0.63 (step @p342 :rule cnf_or_pos :args (@t228)) % 0.45/0.63 (step @p343 :rule reordering :premises (@p342) :args ((or @t136 @t135 @t133 @t226 @t227 (not @t228)))) % 0.45/0.63 (step @p344 :rule chain_m_resolution :premises (@p343 @p167 @p165 @p159 @p341 @p309) :args (@t226 @t171 (@list @t136 @t134 @t132 @t219 @t228))) % 0.45/0.63 (step @p345 :rule bool-and-de-morgan :args (@t23 @t35 true)) % 0.45/0.63 (step @p346 :rule cong :premises (@p345) :args (@t81)) % 0.45/0.63 (step @p347 :rule eq_resolve :premises (@p45 @p346)) % 0.45/0.63 (step @p348 :rule instantiate :premises (@p347) :args ((@list @t125 @t120))) % 0.45/0.63 (step @p349 :rule bool-double-not-elim :args (@t126)) % 0.45/0.63 (step @p350 :rule nary_cong :premises (@p154 @p349) :args ((or @t137 (not @t127)))) % 0.45/0.63 (step @p351 :rule cnf_or_neg :args (@t137 5)) % 0.45/0.63 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 0.45/0.63 (step @p353 :rule reordering :premises (@p352) :args ((or @t126 @t137))) % 0.45/0.63 (step @p354 :rule chain_m_resolution :premises (@p353 @p152) :args (@t126 @t143 @t144)) % 0.45/0.63 (step @p355 :rule cnf_or_pos :args (@t229)) % 0.45/0.63 (step @p356 :rule reordering :premises (@p355) :args ((or @t127 @t221 (not @t229)))) % 0.45/0.63 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p348) :args (@t221 @t230 (@list @t126 @t229))) % 0.45/0.63 (step @p358 :rule bool-double-not-elim :args (@t130)) % 0.45/0.63 (step @p359 :rule nary_cong :premises (@p154 @p358) :args ((or @t137 (not @t131)))) % 0.45/0.63 (step @p360 :rule cnf_or_neg :args (@t137 3)) % 0.45/0.63 (step @p361 :rule eq_resolve :premises (@p360 @p359)) % 0.45/0.63 (step @p362 :rule reordering :premises (@p361) :args ((or @t130 @t137))) % 0.45/0.63 (step @p363 :rule chain_m_resolution :premises (@p362 @p152) :args (@t130 @t143 @t144)) % 0.45/0.63 (step @p364 :rule cnf_or_pos :args (@t234)) % 0.45/0.63 (step @p365 :rule reordering :premises (@p364) :args ((or @t136 @t135 @t133 @t131 @t127 @t220 @t233 @t232 (not @t234)))) % 0.45/0.63 (step @p366 :rule chain_m_resolution :premises (@p365 @p167 @p165 @p159 @p363 @p354 @p357 @p344 @p283) :args (@t232 (@list true false false false false true false false) (@list @t136 @t134 @t132 @t130 @t126 @t220 @t226 @t234))) % 0.45/0.63 (step @p367 :rule cnf_and_pos :args (@t232 1)) % 0.45/0.63 (step @p368 :rule reordering :premises (@p367) :args ((or @t231 (not @t232)))) % 0.45/0.63 (step @p369 :rule chain_m_resolution :premises (@p368 @p366) :args (@t231 @t224 (@list @t232))) % 0.45/0.63 (step @p370 :rule symm :premises (@p170)) % 0.45/0.63 (step @p371 :rule trans :premises (@p370 @p369)) % 0.45/0.63 (step @p372 :rule refl :args (@t119)) % 0.45/0.63 (step @p373 :rule cong :premises (@p372 @p371 @p228) :args (@t235)) % 0.45/0.63 (step @p374 :rule trans :premises (@p373 @p227)) % 0.45/0.63 (step @p375 :rule true_elim :premises (@p374)) % 0.45/0.63 (step @p376 :rule instantiate :premises (@p308) :args (@t236)) % 0.45/0.63 (step @p377 :rule instantiate :premises (@p334) :args (@t236)) % 0.45/0.63 (step @p378 :rule aci_norm :args ((= (or @t85 @t30) (or @t16 @t84 @t83 @t30)))) % 0.45/0.63 (step @p379 :rule refl :args (@t30)) % 0.45/0.63 (step @p380 :rule nary_cong :premises (@p60 @p379) :args ((or @t88 @t30))) % 0.45/0.63 (step @p381 :rule trans :premises (@p380 @p378)) % 0.45/0.63 (step @p382 :rule bool-impl-elim :args (@t18 @t30)) % 0.45/0.63 (step @p383 :rule trans :premises (@p382 @p381)) % 0.45/0.63 (step @p384 :rule cong :premises (@p383) :args (@t31)) % 0.45/0.63 (step @p385 :rule eq_resolve :premises (@p7 @p384)) % 0.45/0.63 (step @p386 :rule instantiate :premises (@p385) :args (@t97)) % 0.45/0.63 (step @p387 :rule cnf_or_pos :args (@t238)) % 0.45/0.63 (step @p388 :rule reordering :premises (@p387) :args ((or @t136 @t135 @t133 @t237 (not @t238)))) % 0.45/0.63 (step @p389 :rule chain_m_resolution :premises (@p388 @p167 @p165 @p159 @p386) :args (@t237 @t147 (@list @t136 @t134 @t132 @t238))) % 0.45/0.63 (step @p390 :rule cnf_or_pos :args (@t242)) % 0.45/0.63 (step @p391 :rule reordering :premises (@p390) :args ((or @t136 @t135 @t133 @t241 @t240 (not @t242)))) % 0.45/0.63 (step @p392 :rule chain_m_resolution :premises (@p391 @p167 @p165 @p159 @p389 @p377) :args (@t240 @t171 (@list @t136 @t134 @t132 @t237 @t242))) % 0.45/0.63 (step @p393 :rule cnf_and_pos :args (@t240 1)) % 0.45/0.63 (step @p394 :rule reordering :premises (@p393) :args ((or @t239 (not @t240)))) % 0.45/0.63 (step @p395 :rule chain_m_resolution :premises (@p394 @p392) :args (@t239 @t224 (@list @t240))) % 0.45/0.63 (step @p396 :rule cnf_or_pos :args (@t245)) % 0.45/0.63 (step @p397 :rule reordering :premises (@p396) :args ((or @t136 @t135 @t133 @t243 @t244 (not @t245)))) % 0.45/0.63 (step @p398 :rule chain_m_resolution :premises (@p397 @p167 @p165 @p159 @p395 @p376) :args (@t243 @t171 (@list @t136 @t134 @t132 @t239 @t245))) % 0.45/0.63 (step @p399 :rule aci_norm :args ((= (or (or @t16 @t246) @t51) (or @t16 @t246 @t51)))) % 0.45/0.63 (step @p400 :rule refl :args (@t51)) % 0.45/0.63 (step @p401 :rule refl :args (@t246)) % 0.45/0.63 (step @p402 :rule nary_cong :premises (@p51 @p401) :args ((or @t86 @t246))) % 0.45/0.63 (step @p403 :rule bool-and-de-morgan :args (@t17 @t38 true)) % 0.45/0.63 (step @p404 :rule trans :premises (@p403 @p402)) % 0.45/0.63 (step @p405 :rule nary_cong :premises (@p404 @p400) :args ((or (not @t52) @t51))) % 0.45/0.63 (step @p406 :rule trans :premises (@p405 @p399)) % 0.45/0.63 (step @p407 :rule bool-impl-elim :args (@t52 @t51)) % 0.45/0.63 (step @p408 :rule trans :premises (@p407 @p406)) % 0.45/0.63 (step @p409 :rule cong :premises (@p408) :args (@t53)) % 0.45/0.63 (step @p410 :rule eq_resolve :premises (@p23 @p409)) % 0.45/0.63 (step @p411 :rule instantiate :premises (@p410) :args (@t97)) % 0.45/0.63 (step @p412 :rule bool-impl-elim :args (@t39 @t38)) % 0.45/0.63 (step @p413 :rule cong :premises (@p412) :args (@t40)) % 0.45/0.63 (step @p414 :rule eq_resolve :premises (@p11 @p413)) % 0.45/0.63 (step @p415 :rule instantiate :premises (@p414) :args (@t97)) % 0.45/0.63 (step @p416 :rule bool-impl-elim :args (@t14 @t41)) % 0.45/0.63 (step @p417 :rule cong :premises (@p416) :args (@t42)) % 0.45/0.63 (step @p418 :rule eq_resolve :premises (@p13 @p417)) % 0.45/0.63 (step @p419 :rule instantiate :premises (@p418) :args (@t97)) % 0.45/0.63 (step @p420 :rule cnf_or_pos :args (@t249)) % 0.45/0.63 (step @p421 :rule reordering :premises (@p420) :args ((or @t133 @t248 (not @t249)))) % 0.45/0.63 (step @p422 :rule chain_m_resolution :premises (@p421 @p159 @p419) :args (@t248 @t230 (@list @t132 @t249))) % 0.45/0.63 (step @p423 :rule cnf_and_pos :args (@t248 0)) % 0.45/0.63 (step @p424 :rule reordering :premises (@p423) :args ((or @t247 (not @t248)))) % 0.45/0.63 (step @p425 :rule chain_m_resolution :premises (@p424 @p422) :args (@t247 @t224 (@list @t248))) % 0.45/0.63 (step @p426 :rule cnf_or_pos :args (@t252)) % 0.45/0.63 (step @p427 :rule reordering :premises (@p426) :args ((or @t250 @t251 (not @t252)))) % 0.45/0.63 (step @p428 :rule chain_m_resolution :premises (@p427 @p425 @p415) :args (@t250 @t230 (@list @t247 @t252))) % 0.45/0.63 (step @p429 :rule cnf_or_pos :args (@t256)) % 0.45/0.63 (step @p430 :rule reordering :premises (@p429) :args ((or @t136 @t255 @t254 (not @t256)))) % 0.45/0.63 (step @p431 :rule chain_m_resolution :premises (@p430 @p167 @p428 @p411) :args (@t254 (@list true false false) (@list @t136 @t250 @t256))) % 0.45/0.63 (step @p432 :rule cnf_or_pos :args (@t259)) % 0.45/0.63 (step @p433 :rule reordering :premises (@p432) :args ((or @t123 @t253 @t233 @t258 @t257 (not @t259)))) % 0.45/0.63 (step @p434 :rule chain_m_resolution :premises (@p433 @p431 @p344 @p398 @p375 @p191) :args (@t123 @t171 (@list @t253 @t226 @t243 @t235 @t259))) % 0.45/0.63 (step @p435 :rule cnf_or_neg :args (@t137 6)) % 0.45/0.63 (step @p436 :rule chain_m_resolution :premises (@p435 @p152) :args ((not @t124) @t143 @t144)) % 0.45/0.63 (step @p437 :rule cnf_and_neg :args (@t124)) % 0.45/0.63 (step @p438 :rule chain_m_resolution :premises (@p437 @p436 @p434) :args (@t260 (@list true false) (@list @t124 @t123))) % 0.45/0.63 (step @p439 :rule aci_norm :args ((= (or @t151 @t59) (or @t25 @t150 @t149 @t59)))) % 0.45/0.63 (step @p440 :rule refl :args (@t59)) % 0.45/0.63 (step @p441 :rule nary_cong :premises (@p184 @p440) :args ((or @t154 @t59))) % 0.45/0.63 (step @p442 :rule trans :premises (@p441 @p439)) % 0.45/0.63 (step @p443 :rule bool-impl-elim :args (@t61 @t59)) % 0.45/0.63 (step @p444 :rule trans :premises (@p443 @p442)) % 0.45/0.63 (step @p445 :rule cong :premises (@p444) :args (@t63)) % 0.45/0.63 (step @p446 :rule eq_resolve :premises (@p33 @p445)) % 0.45/0.63 (step @p447 :rule instantiate :premises (@p446) :args ((@list @t119 @t120 @t122))) % 0.45/0.63 (step @p448 :rule cnf_or_pos :args (@t263)) % 0.45/0.63 (step @p449 :rule reordering :premises (@p448) :args ((or @t253 @t233 @t258 @t262 (not @t263)))) % 0.45/0.63 (step @p450 :rule chain_m_resolution :premises (@p449 @p431 @p344 @p398 @p447) :args (@t262 @t147 (@list @t253 @t226 @t243 @t263))) % 0.45/0.63 (step @p451 :rule cnf_equiv_pos1 :args (@t262)) % 0.45/0.63 (step @p452 :rule reordering :premises (@p451) :args ((or (not @t123) @t261 (not @t262)))) % 0.45/0.63 (step @p453 :rule chain_m_resolution :premises (@p452 @p434 @p450) :args (@t261 @t230 (@list @t123 @t262))) % 0.45/0.63 (step @p454 :rule refl :args (@t264)) % 0.45/0.63 (step @p455 :rule refl :args (@t265)) % 0.45/0.63 (step @p456 :rule bool-double-not-elim :args (@t121)) % 0.45/0.63 (step @p457 :rule nary_cong :premises (@p456 @p455 @p454) :args ((or (not @t260) @t265 @t264))) % 0.45/0.63 (assume-push @p474 @t260) % 0.45/0.63 (assume-push @p475 @t145) % 0.45/0.63 (step @p460 :rule false_intro :premises (@p438)) % 0.45/0.63 (step @p461 :rule cong :premises (@p228 @p370) :args (@t261)) % 0.45/0.63 (step @p462 :rule trans :premises (@p461 @p460)) % 0.45/0.63 (step @p463 :rule false_elim :premises (@p462)) % 0.45/0.63 (step-pop @p476 :rule scope :premises (@p463)) % 0.45/0.63 (step-pop @p477 :rule scope :premises (@p476)) % 0.45/0.63 (step @p464 :rule process_scope :premises (@p477) :args (@t264)) % 0.45/0.63 (step @p467 :rule implies_elim :premises (@p464)) % 0.45/0.63 (step @p468 :rule cnf_and_neg :args (@t266)) % 0.45/0.63 (step @p469 :rule resolution :premises (@p468 @p467) :args (true @t266)) % 0.45/0.63 (step @p470 :rule eq_resolve :premises (@p469 @p457)) % 0.45/0.63 (step @p471 false :rule chain_m_resolution :premises (@p470 @p453 @p438 @p170) :args (false (@list false true false) (@list @t261 @t121 @t145))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------