%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT310+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 : n018.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 08:30:14 AM UTC 2026 % Result : Theorem 16.11s 16.33s % Output : Proof 16.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT310+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 06:21:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.11/16.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.11/16.33 --- Run --no-e-matching --full-saturate-quant at 6... % 16.11/16.33 % SZS status Theorem % 16.11/16.33 % SZS output start Proof % 16.11/16.33 ( % 16.11/16.33 (declare-sort $$unsorted 0) % 16.11/16.33 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.k19_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.33 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 16.11/16.33 (declare-const tptp.k1_xboole_0 $$unsorted) % 16.11/16.33 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 16.11/16.33 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 16.11/16.33 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 16.11/16.33 (define @t1 () (@var "B" $$unsorted)) % 16.11/16.33 (define @t2 () (@var "A" $$unsorted)) % 16.11/16.33 (define @t3 () (tptp.k19_filter_2 @t2 @t1)) % 16.11/16.33 (define @t4 () (tptp.r1_tarski (tptp.k19_filter_2 @t2 @t3) @t3)) % 16.11/16.33 (define @t5 () (@var "D" $$unsorted)) % 16.11/16.33 (define @t6 () (@var "C" $$unsorted)) % 16.11/16.33 (define @t7 () (tptp.k19_filter_2 @t2 @t6)) % 16.11/16.33 (define @t8 () (tptp.r1_tarski @t7 (tptp.k19_filter_2 @t2 @t5))) % 16.11/16.33 (define @t9 () (tptp.r1_tarski @t6 @t5)) % 16.11/16.33 (define @t10 () (and (=> @t9 @t8) @t4)) % 16.11/16.33 (define @t11 () (tptp.u1_struct_0 @t2)) % 16.11/16.33 (define @t12 () (tptp.k1_zfmisc_1 @t11)) % 16.11/16.33 (define @t13 () (tptp.m1_subset_1 @t5 @t12)) % 16.11/16.33 (define @t14 () (tptp.v1_xboole_0 @t5)) % 16.11/16.33 (define @t15 () (not @t14)) % 16.11/16.33 (define @t16 () (and @t15 @t13)) % 16.11/16.33 (define @t17 () (@list @t5)) % 16.11/16.33 (define @t18 () (forall @t17 (=> @t16 @t10))) % 16.11/16.33 (define @t19 () (tptp.m1_subset_1 @t6 @t12)) % 16.11/16.33 (define @t20 () (tptp.v1_xboole_0 @t6)) % 16.11/16.33 (define @t21 () (not @t20)) % 16.11/16.33 (define @t22 () (and @t21 @t19)) % 16.11/16.33 (define @t23 () (=> @t22 @t18)) % 16.11/16.33 (define @t24 () (@list @t6)) % 16.11/16.33 (define @t25 () (forall @t24 @t23)) % 16.11/16.33 (define @t26 () (tptp.m1_subset_1 @t1 @t12)) % 16.11/16.33 (define @t27 () (tptp.v1_xboole_0 @t1)) % 16.11/16.33 (define @t28 () (not @t27)) % 16.11/16.33 (define @t29 () (and @t28 @t26)) % 16.11/16.33 (define @t30 () (=> @t29 @t25)) % 16.11/16.33 (define @t31 () (@list @t1)) % 16.11/16.33 (define @t32 () (forall @t31 @t30)) % 16.11/16.33 (define @t33 () (tptp.l3_lattices @t2)) % 16.11/16.33 (define @t34 () (tptp.v10_lattices @t2)) % 16.11/16.33 (define @t35 () (tptp.v3_struct_0 @t2)) % 16.11/16.33 (define @t36 () (not @t35)) % 16.11/16.33 (define @t37 () (and @t36 @t34 @t33)) % 16.11/16.33 (define @t38 () (=> @t37 @t32)) % 16.11/16.33 (define @t39 () (@list @t2)) % 16.11/16.33 (define @t40 () (forall @t39 @t38)) % 16.11/16.33 (define @t41 () (not @t40)) % 16.11/16.33 (define @t42 () (tptp.r2_hidden @t2 @t1)) % 16.11/16.33 (define @t43 () (@list @t2 @t1)) % 16.11/16.33 (define @t44 () (tptp.v1_xboole_0 @t2)) % 16.11/16.33 (define @t45 () (and @t36 (tptp.v4_lattices @t2) (tptp.v5_lattices @t2) (tptp.v6_lattices @t2) (tptp.v7_lattices @t2) (tptp.v8_lattices @t2) (tptp.v9_lattices @t2))) % 16.11/16.33 (define @t46 () (and @t36 @t34)) % 16.11/16.33 (define @t47 () (tptp.r1_tarski @t1 @t5)) % 16.11/16.33 (define @t48 () (=> @t47 @t9)) % 16.11/16.33 (define @t49 () (tptp.m2_filter_2 @t5 @t2)) % 16.11/16.33 (define @t50 () (forall @t17 (=> @t49 @t48))) % 16.11/16.33 (define @t51 () (tptp.r1_tarski @t1 @t6)) % 16.11/16.33 (define @t52 () (and @t51 @t50)) % 16.11/16.33 (define @t53 () (= @t6 @t3)) % 16.11/16.33 (define @t54 () (= @t53 @t52)) % 16.11/16.33 (define @t55 () (tptp.m2_filter_2 @t6 @t2)) % 16.11/16.33 (define @t56 () (=> @t55 @t54)) % 16.11/16.33 (define @t57 () (forall @t24 @t56)) % 16.11/16.33 (define @t58 () (=> @t29 @t57)) % 16.11/16.33 (define @t59 () (forall @t31 @t58)) % 16.11/16.33 (define @t60 () (=> @t37 @t59)) % 16.11/16.33 (define @t61 () (forall @t39 @t60)) % 16.11/16.33 (define @t62 () (tptp.m2_filter_2 @t3 @t2)) % 16.11/16.33 (define @t63 () (and @t36 @t34 @t33 @t28 @t26)) % 16.11/16.33 (define @t64 () (forall @t43 (=> @t63 @t62))) % 16.11/16.33 (define @t65 () (tptp.l1_struct_0 @t2)) % 16.11/16.33 (define @t66 () (tptp.l1_lattices @t2)) % 16.11/16.33 (define @t67 () (tptp.l2_lattices @t2)) % 16.11/16.33 (define @t68 () (tptp.m2_lattice4 @t1 @t2)) % 16.11/16.33 (define @t69 () (and @t28 @t68)) % 16.11/16.33 (define @t70 () (tptp.m2_filter_2 @t1 @t2)) % 16.11/16.33 (define @t71 () (forall @t31 (=> @t70 @t69))) % 16.11/16.33 (define @t72 () (=> @t37 @t71)) % 16.11/16.33 (define @t73 () (forall @t39 @t72)) % 16.11/16.33 (define @t74 () (forall @t31 (=> @t68 @t26))) % 16.11/16.33 (define @t75 () (=> @t37 @t74)) % 16.11/16.33 (define @t76 () (forall @t39 @t75)) % 16.11/16.33 (define @t77 () (and @t36 @t65)) % 16.11/16.33 (define @t78 () (tptp.k1_zfmisc_1 @t2)) % 16.11/16.33 (define @t79 () (tptp.m1_subset_1 @t1 @t78)) % 16.11/16.33 (define @t80 () (not @t44)) % 16.11/16.33 (define @t81 () (tptp.r1_tarski @t2 @t2)) % 16.11/16.33 (define @t82 () (forall @t43 @t81)) % 16.11/16.33 (define @t83 () (tptp.m1_subset_1 @t2 @t1)) % 16.11/16.33 (define @t84 () (tptp.r1_tarski @t2 @t6)) % 16.11/16.33 (define @t85 () (tptp.r1_tarski @t2 @t1)) % 16.11/16.33 (define @t86 () (and @t85 @t51)) % 16.11/16.33 (define @t87 () (@list @t2 @t1 @t6)) % 16.11/16.33 (define @t88 () (forall @t87 (=> @t86 @t84))) % 16.11/16.33 (define @t89 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t6))) % 16.11/16.33 (define @t90 () (not @t26)) % 16.11/16.33 (define @t91 () (not @t33)) % 16.11/16.33 (define @t92 () (not @t34)) % 16.11/16.33 (define @t93 () (not @t28)) % 16.11/16.33 (define @t94 () (not @t36)) % 16.11/16.33 (define @t95 () (or @t94 @t92 @t91 @t93 @t90)) % 16.11/16.33 (define @t96 () (or @t93 @t90)) % 16.11/16.33 (define @t97 () (not @t29)) % 16.11/16.33 (define @t98 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 16.11/16.33 (define @t99 () (tptp.k19_filter_2 @t2 @t98)) % 16.11/16.33 (define @t100 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 16.11/16.33 (define @t101 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 16.11/16.33 (define @t102 () (and (or (not (tptp.r1_tarski @t101 @t100)) (tptp.r1_tarski (tptp.k19_filter_2 @t2 @t101) (tptp.k19_filter_2 @t2 @t100))) (tptp.r1_tarski (tptp.k19_filter_2 @t2 @t99) @t99))) % 16.11/16.33 (define @t103 () (not (tptp.m1_subset_1 @t100 @t12))) % 16.11/16.33 (define @t104 () (tptp.v1_xboole_0 @t100)) % 16.11/16.33 (define @t105 () (not (tptp.m1_subset_1 @t101 @t12))) % 16.11/16.33 (define @t106 () (tptp.v1_xboole_0 @t101)) % 16.11/16.33 (define @t107 () (not (tptp.m1_subset_1 @t98 @t12))) % 16.11/16.33 (define @t108 () (tptp.v1_xboole_0 @t98)) % 16.11/16.33 (define @t109 () (or @t35 @t92 @t91 @t108 @t107 @t106 @t105 @t104 @t103 @t102)) % 16.11/16.33 (define @t110 () (@list @t2 @t98 @t101 @t100)) % 16.11/16.33 (define @t111 () (forall @t110 @t109)) % 16.11/16.33 (define @t112 () (@quantifiers_skolemize @t111 3)) % 16.11/16.33 (define @t113 () (@quantifiers_skolemize @t111 0)) % 16.11/16.33 (define @t114 () (or @t108 @t107 @t106 @t105 @t104 @t103 @t102)) % 16.11/16.33 (define @t115 () (or @t35 @t92 @t91 @t114)) % 16.11/16.33 (define @t116 () (forall @t110 @t115)) % 16.11/16.33 (define @t117 () (@list @t98 @t101 @t100)) % 16.11/16.33 (define @t118 () (forall @t117 @t115)) % 16.11/16.33 (define @t119 () (forall @t117 @t114)) % 16.11/16.33 (define @t120 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 16.11/16.33 (define @t121 () (@var "BOUND_VARIABLE_7665" $$unsorted)) % 16.11/16.33 (define @t122 () (or @t35 @t92 @t91 @t119)) % 16.11/16.33 (define @t123 () (and (or (not (tptp.r1_tarski @t121 @t120)) (tptp.r1_tarski (tptp.k19_filter_2 @t2 @t121) (tptp.k19_filter_2 @t2 @t120))) @t4)) % 16.11/16.33 (define @t124 () (not (tptp.m1_subset_1 @t120 @t12))) % 16.11/16.33 (define @t125 () (tptp.v1_xboole_0 @t120)) % 16.11/16.33 (define @t126 () (not (tptp.m1_subset_1 @t121 @t12))) % 16.11/16.33 (define @t127 () (tptp.v1_xboole_0 @t121)) % 16.11/16.33 (define @t128 () (or @t27 @t90 @t127 @t126 @t125 @t124 @t123)) % 16.11/16.33 (define @t129 () (@list @t1 @t121 @t120)) % 16.11/16.33 (define @t130 () (forall @t129 @t128)) % 16.11/16.33 (define @t131 () (or @t35 @t92 @t91 @t130)) % 16.11/16.33 (define @t132 () (or @t35 @t92 @t91)) % 16.11/16.33 (define @t133 () (or @t94 @t92 @t91)) % 16.11/16.33 (define @t134 () (not @t37)) % 16.11/16.33 (define @t135 () (or @t127 @t126 @t125 @t124 @t123)) % 16.11/16.33 (define @t136 () (or @t27 @t90 @t135)) % 16.11/16.33 (define @t137 () (forall @t129 @t136)) % 16.11/16.33 (define @t138 () (@list @t121 @t120)) % 16.11/16.33 (define @t139 () (forall @t138 @t136)) % 16.11/16.33 (define @t140 () (forall @t138 @t135)) % 16.11/16.33 (define @t141 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 16.11/16.33 (define @t142 () (or @t27 @t90 @t140)) % 16.11/16.33 (define @t143 () (and (or (not (tptp.r1_tarski @t6 @t141)) (tptp.r1_tarski @t7 (tptp.k19_filter_2 @t2 @t141))) @t4)) % 16.11/16.33 (define @t144 () (not (tptp.m1_subset_1 @t141 @t12))) % 16.11/16.33 (define @t145 () (tptp.v1_xboole_0 @t141)) % 16.11/16.33 (define @t146 () (not @t19)) % 16.11/16.33 (define @t147 () (or @t20 @t146 @t145 @t144 @t143)) % 16.11/16.33 (define @t148 () (@list @t6 @t141)) % 16.11/16.33 (define @t149 () (forall @t148 @t147)) % 16.11/16.33 (define @t150 () (or @t27 @t90 @t149)) % 16.11/16.33 (define @t151 () (or @t27 @t90)) % 16.11/16.33 (define @t152 () (or @t145 @t144 @t143)) % 16.11/16.33 (define @t153 () (or @t20 @t146 @t152)) % 16.11/16.33 (define @t154 () (forall @t148 @t153)) % 16.11/16.33 (define @t155 () (@list @t141)) % 16.11/16.33 (define @t156 () (forall @t155 @t153)) % 16.11/16.33 (define @t157 () (forall @t155 @t152)) % 16.11/16.33 (define @t158 () (or @t20 @t146 @t157)) % 16.11/16.33 (define @t159 () (and (or (not @t9) @t8) @t4)) % 16.11/16.33 (define @t160 () (not @t13)) % 16.11/16.33 (define @t161 () (or @t14 @t160 @t159)) % 16.11/16.33 (define @t162 () (forall @t17 @t161)) % 16.11/16.33 (define @t163 () (or @t20 @t146 @t162)) % 16.11/16.33 (define @t164 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t113))) % 16.11/16.33 (define @t165 () (tptp.m1_subset_1 @t112 @t164)) % 16.11/16.33 (define @t166 () (@quantifiers_skolemize @t111 1)) % 16.11/16.33 (define @t167 () (tptp.k19_filter_2 @t113 @t166)) % 16.11/16.33 (define @t168 () (tptp.k19_filter_2 @t113 @t167)) % 16.11/16.33 (define @t169 () (tptp.r1_tarski @t168 @t167)) % 16.11/16.33 (define @t170 () (tptp.k19_filter_2 @t113 @t112)) % 16.11/16.33 (define @t171 () (@quantifiers_skolemize @t111 2)) % 16.11/16.33 (define @t172 () (tptp.k19_filter_2 @t113 @t171)) % 16.11/16.33 (define @t173 () (tptp.r1_tarski @t172 @t170)) % 16.11/16.33 (define @t174 () (tptp.r1_tarski @t171 @t112)) % 16.11/16.33 (define @t175 () (not @t174)) % 16.11/16.33 (define @t176 () (or @t175 @t173)) % 16.11/16.33 (define @t177 () (and @t176 @t169)) % 16.11/16.33 (define @t178 () (not @t165)) % 16.11/16.33 (define @t179 () (tptp.v1_xboole_0 @t112)) % 16.11/16.33 (define @t180 () (tptp.m1_subset_1 @t171 @t164)) % 16.11/16.33 (define @t181 () (not @t180)) % 16.11/16.33 (define @t182 () (tptp.v1_xboole_0 @t171)) % 16.11/16.33 (define @t183 () (tptp.m1_subset_1 @t166 @t164)) % 16.11/16.33 (define @t184 () (not @t183)) % 16.11/16.33 (define @t185 () (tptp.v1_xboole_0 @t166)) % 16.11/16.33 (define @t186 () (tptp.l3_lattices @t113)) % 16.11/16.33 (define @t187 () (not @t186)) % 16.11/16.33 (define @t188 () (tptp.v10_lattices @t113)) % 16.11/16.33 (define @t189 () (not @t188)) % 16.11/16.33 (define @t190 () (tptp.v3_struct_0 @t113)) % 16.11/16.33 (define @t191 () (or @t190 @t189 @t187 @t185 @t184 @t182 @t181 @t179 @t178 @t177)) % 16.11/16.33 (define @t192 () (@list true)) % 16.11/16.33 (define @t193 () (@list @t191)) % 16.11/16.33 (define @t194 () (tptp.m2_filter_2 @t170 @t113)) % 16.11/16.33 (define @t195 () (or @t190 @t189 @t187 @t179 @t178 @t194)) % 16.11/16.33 (define @t196 () (@list true false false true false false)) % 16.11/16.33 (define @t197 () (@var "BOUND_VARIABLE_7795" $$unsorted)) % 16.11/16.33 (define @t198 () (tptp.k19_filter_2 @t2 @t197)) % 16.11/16.33 (define @t199 () (@var "BOUND_VARIABLE_7797" $$unsorted)) % 16.11/16.33 (define @t200 () (not @t49)) % 16.11/16.33 (define @t201 () (and (tptp.r1_tarski @t197 @t199) (forall @t17 (or @t200 (not (tptp.r1_tarski @t197 @t5)) (tptp.r1_tarski @t199 @t5))))) % 16.11/16.33 (define @t202 () (= @t201 (= @t198 @t199))) % 16.11/16.33 (define @t203 () (not (tptp.m2_filter_2 @t199 @t2))) % 16.11/16.33 (define @t204 () (not (tptp.m1_subset_1 @t197 @t12))) % 16.11/16.33 (define @t205 () (tptp.v1_xboole_0 @t197)) % 16.11/16.33 (define @t206 () (or @t35 @t92 @t91 @t205 @t204 @t203 @t202)) % 16.11/16.33 (define @t207 () (or @t205 @t204 @t203 @t202)) % 16.11/16.33 (define @t208 () (or @t35 @t92 @t91 @t207)) % 16.11/16.33 (define @t209 () (@list @t2 @t197 @t199)) % 16.11/16.33 (define @t210 () (forall @t209 @t208)) % 16.11/16.33 (define @t211 () (@list @t197 @t199)) % 16.11/16.33 (define @t212 () (forall @t211 @t208)) % 16.11/16.33 (define @t213 () (forall @t211 @t207)) % 16.11/16.33 (define @t214 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 16.11/16.33 (define @t215 () (or @t35 @t92 @t91 @t213)) % 16.11/16.33 (define @t216 () (= @t3 @t214)) % 16.11/16.33 (define @t217 () (not @t47)) % 16.11/16.33 (define @t218 () (and (tptp.r1_tarski @t1 @t214) (forall @t17 (or @t200 @t217 (tptp.r1_tarski @t214 @t5))))) % 16.11/16.33 (define @t219 () (not (tptp.m2_filter_2 @t214 @t2))) % 16.11/16.33 (define @t220 () (@list @t1 @t214)) % 16.11/16.33 (define @t221 () (forall @t220 (or @t27 @t90 @t219 (= @t218 @t216)))) % 16.11/16.33 (define @t222 () (or @t35 @t92 @t91 @t221)) % 16.11/16.33 (define @t223 () (= (= @t214 @t3) @t218)) % 16.11/16.33 (define @t224 () (or @t27 @t90 @t219 @t223)) % 16.11/16.33 (define @t225 () (or @t219 @t223)) % 16.11/16.33 (define @t226 () (or @t27 @t90 @t225)) % 16.11/16.33 (define @t227 () (forall @t220 @t226)) % 16.11/16.33 (define @t228 () (@list @t214)) % 16.11/16.33 (define @t229 () (forall @t228 @t226)) % 16.11/16.33 (define @t230 () (forall @t228 @t225)) % 16.11/16.33 (define @t231 () (or @t27 @t90 @t230)) % 16.11/16.33 (define @t232 () (or @t200 @t217 @t9)) % 16.11/16.33 (define @t233 () (= @t53 (and @t51 (forall @t17 @t232)))) % 16.11/16.33 (define @t234 () (forall @t24 (or (not @t55) @t233))) % 16.11/16.33 (define @t235 () (or @t27 @t90 @t234)) % 16.11/16.33 (define @t236 () (not (tptp.m2_filter_2 @t5 @t113))) % 16.11/16.33 (define @t237 () (forall @t17 (or @t236 (not (tptp.r1_tarski @t171 @t5)) (tptp.r1_tarski @t172 @t5)))) % 16.11/16.33 (define @t238 () (and (tptp.r1_tarski @t171 @t172) @t237)) % 16.11/16.33 (define @t239 () (= @t238 (= @t172 @t172))) % 16.11/16.33 (define @t240 () (tptp.m2_filter_2 @t172 @t113)) % 16.11/16.33 (define @t241 () (not @t240)) % 16.11/16.33 (define @t242 () (or @t190 @t189 @t187 @t182 @t181 @t241 @t239)) % 16.11/16.33 (define @t243 () (forall @t209 (or @t35 @t92 @t91 @t205 @t204 @t203 (= @t201 (= @t199 @t198))))) % 16.11/16.33 (define @t244 () (or @t190 @t189 @t187 @t182 @t181 @t241 @t238)) % 16.11/16.33 (define @t245 () (@list false)) % 16.11/16.33 (define @t246 () (@list @t243)) % 16.11/16.33 (define @t247 () (or @t190 @t189 @t187 @t182 @t181 @t240)) % 16.11/16.33 (define @t248 () (@list true false false true false false false)) % 16.11/16.33 (define @t249 () (= @t167 @t168)) % 16.11/16.33 (define @t250 () (tptp.r1_tarski @t167 @t167)) % 16.11/16.33 (define @t251 () (tptp.r1_tarski @t167 @t5)) % 16.11/16.33 (define @t252 () (forall @t17 (or @t236 (not @t251) @t251))) % 16.11/16.33 (define @t253 () (and @t250 @t252)) % 16.11/16.33 (define @t254 () (tptp.m2_filter_2 @t167 @t113)) % 16.11/16.33 (define @t255 () (not @t254)) % 16.11/16.33 (define @t256 () (tptp.m1_subset_1 @t167 @t164)) % 16.11/16.33 (define @t257 () (not @t256)) % 16.11/16.33 (define @t258 () (tptp.v1_xboole_0 @t167)) % 16.11/16.33 (define @t259 () (or @t190 @t189 @t187 @t258 @t257 @t255 (= @t253 @t249))) % 16.11/16.33 (define @t260 () (= @t250 @t249)) % 16.11/16.33 (define @t261 () (or @t190 @t189 @t187 @t258 @t257 @t255 @t260)) % 16.11/16.33 (define @t262 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 16.11/16.33 (define @t263 () (tptp.m1_subset_1 @t262 @t12)) % 16.11/16.33 (define @t264 () (not (tptp.m2_lattice4 @t262 @t2))) % 16.11/16.33 (define @t265 () (or @t264 @t263)) % 16.11/16.33 (define @t266 () (or @t35 @t92 @t91 @t265)) % 16.11/16.33 (define @t267 () (forall (@list @t2 @t262) @t266)) % 16.11/16.33 (define @t268 () (@list @t262)) % 16.11/16.33 (define @t269 () (forall @t268 @t266)) % 16.11/16.33 (define @t270 () (forall @t268 @t265)) % 16.11/16.33 (define @t271 () (@list @t1)) % 16.11/16.33 (define @t272 () (or @t35 @t92 @t91 @t270)) % 16.11/16.33 (define @t273 () (forall @t31 (or (not @t68) @t26))) % 16.11/16.33 (define @t274 () (or @t35 @t92 @t91 @t273)) % 16.11/16.33 (define @t275 () (@list @t113 @t167)) % 16.11/16.33 (define @t276 () (@var "BOUND_VARIABLE_7847" $$unsorted)) % 16.11/16.33 (define @t277 () (and (not (tptp.v1_xboole_0 @t276)) (tptp.m2_lattice4 @t276 @t2))) % 16.11/16.33 (define @t278 () (not (tptp.m2_filter_2 @t276 @t2))) % 16.11/16.33 (define @t279 () (or @t278 @t277)) % 16.11/16.33 (define @t280 () (or @t35 @t92 @t91 @t279)) % 16.11/16.33 (define @t281 () (forall (@list @t2 @t276) @t280)) % 16.11/16.33 (define @t282 () (@list @t276)) % 16.11/16.33 (define @t283 () (forall @t282 @t280)) % 16.11/16.33 (define @t284 () (forall @t282 @t279)) % 16.11/16.33 (define @t285 () (or @t35 @t92 @t91 @t284)) % 16.11/16.33 (define @t286 () (forall @t31 (or (not @t70) @t69))) % 16.11/16.33 (define @t287 () (or @t35 @t92 @t91 @t286)) % 16.11/16.33 (define @t288 () (or @t190 @t189 @t187 @t185 @t184 @t254)) % 16.11/16.33 (define @t289 () (tptp.m2_lattice4 @t167 @t113)) % 16.11/16.33 (define @t290 () (not @t258)) % 16.11/16.33 (define @t291 () (and @t290 @t289)) % 16.11/16.33 (define @t292 () (or @t190 @t189 @t187 @t255 @t291)) % 16.11/16.33 (define @t293 () (@list true false false false false)) % 16.11/16.33 (define @t294 () (not @t291)) % 16.11/16.33 (define @t295 () (@list @t291)) % 16.11/16.33 (define @t296 () (not @t289)) % 16.11/16.33 (define @t297 () (or @t190 @t189 @t187 @t296 @t256)) % 16.11/16.33 (define @t298 () (@list @t176)) % 16.11/16.33 (define @t299 () (not @t51)) % 16.11/16.33 (define @t300 () (not @t85)) % 16.11/16.33 (define @t301 () (tptp.r1_tarski @t112 @t170)) % 16.11/16.33 (define @t302 () (and @t301 (forall @t17 (or @t236 (not (tptp.r1_tarski @t112 @t5)) (tptp.r1_tarski @t170 @t5))))) % 16.11/16.33 (define @t303 () (= @t302 (= @t170 @t170))) % 16.11/16.33 (define @t304 () (not @t194)) % 16.11/16.33 (define @t305 () (or @t190 @t189 @t187 @t179 @t178 @t304 @t303)) % 16.11/16.33 (define @t306 () (or @t190 @t189 @t187 @t179 @t178 @t304 @t302)) % 16.11/16.33 (define @t307 () (tptp.r1_tarski @t171 @t170)) % 16.11/16.33 (define @t308 () (not @t301)) % 16.11/16.33 (define @t309 () (or @t175 @t308 @t307)) % 16.11/16.33 (define @t310 () (not @t307)) % 16.11/16.33 (define @t311 () (or @t304 @t310 @t173)) % 16.11/16.33 (assume @p1 @t41) % 16.11/16.33 (assume @p2 (forall @t43 (=> @t42 (not (tptp.r2_hidden @t1 @t2))))) % 16.11/16.33 (assume @p3 (forall @t39 (=> @t44 (tptp.v1_funct_1 @t2)))) % 16.11/16.33 (assume @p4 (forall @t39 (=> @t33 (=> @t46 @t45)))) % 16.11/16.33 (assume @p5 (forall @t39 (=> @t33 (=> @t45 @t46)))) % 16.11/16.33 (assume @p6 @t61) % 16.11/16.33 (assume @p7 @t64) % 16.11/16.33 (assume @p8 true) % 16.11/16.33 (assume @p9 (forall @t39 (=> @t66 @t65))) % 16.11/16.33 (assume @p10 (forall @t39 (=> @t67 @t65))) % 16.11/16.33 (assume @p11 (forall @t39 (=> @t33 (and @t66 @t67)))) % 16.11/16.33 (assume @p12 @t73) % 16.11/16.33 (assume @p13 @t76) % 16.11/16.33 (assume @p14 (exists @t39 @t66)) % 16.11/16.33 (assume @p15 (exists @t39 @t65)) % 16.11/16.33 (assume @p16 (exists @t39 @t67)) % 16.11/16.33 (assume @p17 (exists @t39 @t33)) % 16.11/16.33 (assume @p18 (forall @t39 (exists @t31 (tptp.m1_subset_1 @t1 @t2)))) % 16.11/16.33 (assume @p19 (forall @t39 (=> @t37 (exists @t31 @t70)))) % 16.11/16.33 (assume @p20 (forall @t39 (=> @t37 (exists @t31 @t68)))) % 16.11/16.33 (assume @p21 (forall @t39 (=> @t77 (not (tptp.v1_xboole_0 @t11))))) % 16.11/16.33 (assume @p22 (forall @t39 (not (tptp.v1_xboole_0 @t78)))) % 16.11/16.33 (assume @p23 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 16.11/16.33 (assume @p24 (forall @t39 (=> @t37 (exists @t31 (and @t68 @t28))))) % 16.11/16.33 (assume @p25 (forall @t39 (=> @t80 (exists @t31 (and @t79 @t28))))) % 16.11/16.33 (assume @p26 (exists @t39 @t44)) % 16.11/16.33 (assume @p27 (forall @t39 (exists @t31 (and @t79 @t27)))) % 16.11/16.33 (assume @p28 (exists @t39 @t80)) % 16.11/16.33 (assume @p29 (exists @t39 (and @t65 @t36))) % 16.11/16.33 (assume @p30 (forall @t39 (=> @t77 (exists @t31 (and @t26 @t28))))) % 16.11/16.33 (assume @p31 @t82) % 16.11/16.33 (assume @p32 (forall @t43 (=> @t42 @t83))) % 16.11/16.33 (assume @p33 @t88) % 16.11/16.33 (assume @p34 (forall @t43 (=> @t83 (or @t27 @t42)))) % 16.11/16.33 (assume @p35 (forall @t43 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) @t85))) % 16.11/16.33 (assume @p36 (forall @t87 (=> (and @t42 @t89) (tptp.m1_subset_1 @t2 @t6)))) % 16.11/16.33 (assume @p37 (forall @t87 (not (and @t42 @t89 @t20)))) % 16.11/16.33 (assume @p38 (forall @t39 (=> @t44 (= @t2 tptp.k1_xboole_0)))) % 16.11/16.33 (assume @p39 (forall @t43 (not (and @t42 @t27)))) % 16.11/16.33 (assume @p40 (forall @t43 (not (and @t44 (not (= @t2 @t1)) @t27)))) % 16.11/16.33 (step @p41 :rule aci_norm :args ((= (or (or @t35 @t92 @t91 @t27 @t90) @t62) (or @t35 @t92 @t91 @t27 @t90 @t62)))) % 16.11/16.33 (step @p42 :rule refl :args (@t62)) % 16.11/16.33 (step @p43 :rule refl :args (@t90)) % 16.11/16.33 (step @p44 :rule bool-double-not-elim :args (@t27)) % 16.11/16.33 (step @p45 :rule refl :args (@t91)) % 16.11/16.33 (step @p46 :rule refl :args (@t92)) % 16.11/16.33 (step @p47 :rule bool-double-not-elim :args (@t35)) % 16.11/16.33 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44 @p43) :args (@t95)) % 16.11/16.33 (step @p49 :rule aci_norm :args ((= (or @t94 (or @t92 (or @t91 @t96))) @t95))) % 16.11/16.33 (step @p50 :rule trans :premises (@p49 @p48)) % 16.11/16.33 (step @p51 :rule bool-and-de-morgan :args (@t28 @t26 true)) % 16.11/16.33 (step @p52 :rule nary_cong :premises (@p45 @p51) :args ((or @t91 @t97))) % 16.11/16.33 (step @p53 :rule bool-and-de-morgan :args (@t33 @t28 (and @t26))) % 16.11/16.33 (step @p54 :rule trans :premises (@p53 @p52)) % 16.11/16.33 (step @p55 :rule nary_cong :premises (@p46 @p54) :args ((or @t92 (not (and @t33 @t28 @t26))))) % 16.11/16.33 (step @p56 :rule bool-and-de-morgan :args (@t34 @t33 (and @t28 @t26))) % 16.11/16.33 (step @p57 :rule trans :premises (@p56 @p55)) % 16.11/16.33 (step @p58 :rule refl :args (@t94)) % 16.11/16.33 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t94 (not (and @t34 @t33 @t28 @t26))))) % 16.11/16.33 (step @p60 :rule bool-and-de-morgan :args (@t36 @t34 (and @t33 @t28 @t26))) % 16.11/16.33 (step @p61 :rule trans :premises (@p60 @p59)) % 16.11/16.33 (step @p62 :rule trans :premises (@p61 @p50)) % 16.11/16.33 (step @p63 :rule nary_cong :premises (@p62 @p42) :args ((or (not @t63) @t62))) % 16.11/16.33 (step @p64 :rule trans :premises (@p63 @p41)) % 16.11/16.33 (step @p65 :rule bool-impl-elim :args (@t63 @t62)) % 16.11/16.33 (step @p66 :rule trans :premises (@p65 @p64)) % 16.11/16.33 (step @p67 :rule cong :premises (@p66) :args (@t64)) % 16.11/16.33 (step @p68 :rule eq_resolve :premises (@p7 @p67)) % 16.11/16.33 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t113 @t112))) % 16.11/16.33 (step @p70 :rule aci_norm :args ((= @t115 @t109))) % 16.11/16.33 (step @p71 :rule cong :premises (@p70) :args (@t116)) % 16.11/16.33 (step @p72 :rule quant-merge-prenex :args ((= (forall @t39 @t118) @t116))) % 16.11/16.33 (step @p73 :rule alpha_equiv :args (@t119 (@list @t98 @t101 @t100) (@list @t1 @t121 @t120))) % 16.11/16.34 (step @p74 :rule refl :args (@t35)) % 16.11/16.34 (step @p75 :rule nary_cong :premises (@p74 @p46 @p45 @p73) :args (@t122)) % 16.11/16.34 (step @p76 :rule quant-miniscope-or :args ((= @t118 @t122))) % 16.11/16.34 (step @p77 :rule trans :premises (@p76 @p75)) % 16.11/16.34 (step @p78 :rule symm :premises (@p77)) % 16.11/16.34 (step @p79 :rule cong :premises (@p78) :args ((forall @t39 @t131))) % 16.11/16.34 (step @p80 :rule trans :premises (@p79 @p72)) % 16.11/16.34 (step @p81 :rule trans :premises (@p80 @p71)) % 16.11/16.34 (step @p82 :rule aci_norm :args ((= (or @t132 @t130) @t131))) % 16.11/16.34 (step @p83 :rule refl :args (@t130)) % 16.11/16.34 (step @p84 :rule nary_cong :premises (@p47 @p46 @p45) :args (@t133)) % 16.11/16.34 (step @p85 :rule aci_norm :args ((= (or @t94 (or @t92 @t91)) @t133))) % 16.11/16.34 (step @p86 :rule trans :premises (@p85 @p84)) % 16.11/16.34 (step @p87 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 16.11/16.34 (step @p88 :rule nary_cong :premises (@p58 @p87) :args ((or @t94 (not (and @t34 @t33))))) % 16.11/16.34 (step @p89 :rule bool-and-de-morgan :args (@t36 @t34 (and @t33))) % 16.11/16.34 (step @p90 :rule trans :premises (@p89 @p88)) % 16.11/16.34 (step @p91 :rule trans :premises (@p90 @p86)) % 16.11/16.34 (step @p92 :rule nary_cong :premises (@p91 @p83) :args ((or @t134 @t130))) % 16.11/16.34 (step @p93 :rule trans :premises (@p92 @p82)) % 16.11/16.34 (step @p94 :rule bool-impl-elim :args (@t37 @t130)) % 16.11/16.34 (step @p95 :rule trans :premises (@p94 @p93)) % 16.11/16.34 (step @p96 :rule cong :premises (@p95) :args ((forall @t39 (=> @t37 @t130)))) % 16.11/16.34 (step @p97 :rule trans :premises (@p96 @p81)) % 16.11/16.34 (step @p98 :rule aci_norm :args ((= @t136 @t128))) % 16.11/16.34 (step @p99 :rule cong :premises (@p98) :args (@t137)) % 16.11/16.34 (step @p100 :rule quant-merge-prenex :args ((= (forall @t31 @t139) @t137))) % 16.11/16.34 (step @p101 :rule alpha_equiv :args (@t140 (@list @t121 @t120) (@list @t6 @t141))) % 16.11/16.34 (step @p102 :rule refl :args (@t27)) % 16.11/16.34 (step @p103 :rule nary_cong :premises (@p102 @p43 @p101) :args (@t142)) % 16.11/16.34 (step @p104 :rule quant-miniscope-or :args ((= @t139 @t142))) % 16.11/16.34 (step @p105 :rule trans :premises (@p104 @p103)) % 16.11/16.34 (step @p106 :rule symm :premises (@p105)) % 16.11/16.34 (step @p107 :rule cong :premises (@p106) :args ((forall @t31 @t150))) % 16.11/16.34 (step @p108 :rule trans :premises (@p107 @p100)) % 16.11/16.34 (step @p109 :rule trans :premises (@p108 @p99)) % 16.11/16.34 (step @p110 :rule aci_norm :args ((= (or @t151 @t149) @t150))) % 16.11/16.34 (step @p111 :rule refl :args (@t149)) % 16.11/16.34 (step @p112 :rule nary_cong :premises (@p44 @p43) :args (@t96)) % 16.11/16.34 (step @p113 :rule trans :premises (@p51 @p112)) % 16.11/16.34 (step @p114 :rule nary_cong :premises (@p113 @p111) :args ((or @t97 @t149))) % 16.11/16.34 (step @p115 :rule trans :premises (@p114 @p110)) % 16.11/16.34 (step @p116 :rule bool-impl-elim :args (@t29 @t149)) % 16.11/16.34 (step @p117 :rule trans :premises (@p116 @p115)) % 16.11/16.34 (step @p118 :rule cong :premises (@p117) :args ((forall @t31 (=> @t29 @t149)))) % 16.11/16.34 (step @p119 :rule trans :premises (@p118 @p109)) % 16.11/16.34 (step @p120 :rule aci_norm :args ((= @t153 @t147))) % 16.11/16.34 (step @p121 :rule cong :premises (@p120) :args (@t154)) % 16.11/16.34 (step @p122 :rule quant-merge-prenex :args ((= (forall @t24 @t156) @t154))) % 16.11/16.34 (step @p123 :rule alpha_equiv :args (@t157 (@list @t141) (@list @t5))) % 16.11/16.34 (step @p124 :rule refl :args (@t146)) % 16.11/16.34 (step @p125 :rule refl :args (@t20)) % 16.11/16.34 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t158)) % 16.11/16.34 (step @p127 :rule quant-miniscope-or :args ((= @t156 @t158))) % 16.11/16.34 (step @p128 :rule trans :premises (@p127 @p126)) % 16.11/16.34 (step @p129 :rule symm :premises (@p128)) % 16.11/16.34 (step @p130 :rule cong :premises (@p129) :args ((forall @t24 @t163))) % 16.11/16.34 (step @p131 :rule trans :premises (@p130 @p122)) % 16.11/16.34 (step @p132 :rule trans :premises (@p131 @p121)) % 16.11/16.34 (step @p133 :rule aci_norm :args ((= (or (or @t20 @t146) @t162) @t163))) % 16.11/16.34 (step @p134 :rule refl :args (@t162)) % 16.11/16.34 (step @p135 :rule bool-double-not-elim :args (@t20)) % 16.11/16.34 (step @p136 :rule nary_cong :premises (@p135 @p124) :args ((or (not @t21) @t146))) % 16.11/16.34 (step @p137 :rule bool-and-de-morgan :args (@t21 @t19 true)) % 16.11/16.34 (step @p138 :rule trans :premises (@p137 @p136)) % 16.11/16.34 (step @p139 :rule nary_cong :premises (@p138 @p134) :args ((or (not @t22) @t162))) % 16.11/16.34 (step @p140 :rule trans :premises (@p139 @p133)) % 16.11/16.34 (step @p141 :rule bool-impl-elim :args (@t22 @t162)) % 16.11/16.34 (step @p142 :rule trans :premises (@p141 @p140)) % 16.11/16.34 (step @p143 :rule cong :premises (@p142) :args ((forall @t24 (=> @t22 @t162)))) % 16.11/16.34 (step @p144 :rule trans :premises (@p143 @p132)) % 16.11/16.34 (step @p145 :rule aci_norm :args ((= (or (or @t14 @t160) @t159) 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16.11/16.34 (step @p337 :rule refl :args (@t249)) % 16.11/16.34 (step @p338 :rule cong :premises (@p337 @p336) :args ((= @t249 @t253))) % 16.11/16.34 (step @p339 :rule trans :premises (@p338 @p328)) % 16.11/16.34 (step @p340 :rule eq-symm :args (@t253 @t249)) % 16.11/16.34 (step @p341 :rule trans :premises (@p340 @p339)) % 16.11/16.34 (step @p342 :rule refl :args (@t255)) % 16.11/16.34 (step @p343 :rule refl :args (@t257)) % 16.11/16.34 (step @p344 :rule refl :args (@t258)) % 16.11/16.34 (step @p345 :rule nary_cong :premises (@p294 @p293 @p292 @p344 @p343 @p342 @p341) :args (@t259)) % 16.11/16.34 (step @p346 :rule cong :premises (@p296 @p345) :args ((=> @t243 @t259))) % 16.11/16.34 (assume-push @p495 @t243) % 16.11/16.34 (step @p348 :rule instantiate :premises (@p283) :args ((@list @t113 @t167 @t167))) % 16.11/16.34 (step-pop @p496 :rule scope :premises (@p348)) % 16.11/16.34 (step @p349 :rule process_scope :premises (@p496) :args (@t259)) % 16.11/16.34 (step @p351 :rule eq_resolve 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:premises (@p363 @p355)) % 16.11/16.34 (step @p365 :rule aci_norm :args ((= (or @t132 @t273) @t274))) % 16.11/16.34 (step @p366 :rule refl :args (@t273)) % 16.11/16.34 (step @p367 :rule nary_cong :premises (@p91 @p366) :args ((or @t134 @t273))) % 16.11/16.34 (step @p368 :rule trans :premises (@p367 @p365)) % 16.11/16.34 (step @p369 :rule bool-impl-elim :args (@t37 @t273)) % 16.11/16.34 (step @p370 :rule trans :premises (@p369 @p368)) % 16.11/16.34 (step @p371 :rule cong :premises (@p370) :args ((forall @t39 (=> @t37 @t273)))) % 16.11/16.34 (step @p372 :rule trans :premises (@p371 @p364)) % 16.11/16.34 (step @p373 :rule bool-impl-elim :args (@t68 @t26)) % 16.11/16.34 (step @p374 :rule cong :premises (@p373) :args (@t74)) % 16.11/16.34 (step @p375 :rule cong :premises (@p167 @p374) :args (@t75)) % 16.11/16.34 (step @p376 :rule cong :premises (@p375) :args (@t76)) % 16.11/16.34 (step @p377 :rule trans :premises (@p376 @p372)) % 16.11/16.34 (step @p378 :rule eq_resolve :premises (@p13 @p377)) % 16.11/16.34 (step @p379 :rule instantiate :premises (@p378) :args (@t275)) % 16.11/16.34 (step @p380 :rule aci_norm :args ((= @t280 (or @t35 @t92 @t91 @t278 @t277)))) % 16.11/16.34 (step @p381 :rule cong :premises (@p380) :args (@t281)) % 16.11/16.34 (step @p382 :rule quant-merge-prenex :args ((= (forall @t39 @t283) @t281))) % 16.11/16.34 (step @p383 :rule alpha_equiv :args (@t284 (@list @t276) @t271)) % 16.11/16.34 (step @p384 :rule nary_cong :premises (@p74 @p46 @p45 @p383) :args (@t285)) % 16.11/16.34 (step @p385 :rule quant-miniscope-or :args ((= @t283 @t285))) % 16.11/16.34 (step @p386 :rule trans :premises (@p385 @p384)) % 16.11/16.34 (step @p387 :rule symm :premises (@p386)) % 16.11/16.34 (step @p388 :rule cong :premises (@p387) :args ((forall @t39 @t287))) % 16.11/16.34 (step @p389 :rule trans :premises (@p388 @p382)) % 16.11/16.34 (step @p390 :rule trans :premises (@p389 @p381)) % 16.11/16.34 (step @p391 :rule aci_norm :args ((= (or @t132 @t286) @t287))) % 16.11/16.34 (step @p392 :rule refl :args (@t286)) % 16.11/16.34 (step @p393 :rule nary_cong :premises (@p91 @p392) :args ((or @t134 @t286))) % 16.11/16.34 (step @p394 :rule trans :premises (@p393 @p391)) % 16.11/16.34 (step @p395 :rule bool-impl-elim :args (@t37 @t286)) % 16.11/16.34 (step @p396 :rule trans :premises (@p395 @p394)) % 16.11/16.34 (step @p397 :rule cong :premises (@p396) :args ((forall @t39 (=> @t37 @t286)))) % 16.11/16.34 (step @p398 :rule trans :premises (@p397 @p390)) % 16.11/16.34 (step @p399 :rule bool-impl-elim :args (@t70 @t69)) % 16.11/16.34 (step @p400 :rule cong :premises (@p399) :args (@t71)) % 16.11/16.34 (step @p401 :rule cong :premises (@p167 @p400) :args (@t72)) % 16.11/16.34 (step @p402 :rule cong :premises (@p401) :args (@t73)) % 16.11/16.34 (step @p403 :rule trans :premises (@p402 @p398)) % 16.11/16.34 (step @p404 :rule eq_resolve :premises (@p12 @p403)) % 16.11/16.34 (step @p405 :rule instantiate :premises (@p404) :args (@t275)) % 16.11/16.34 (step @p406 :rule instantiate :premises (@p68) :args ((@list @t113 @t166))) % 16.11/16.34 (step @p407 :rule bool-double-not-elim :args (@t183)) % 16.11/16.34 (step @p408 :rule nary_cong :premises (@p175 @p407) :args ((or @t191 (not @t184)))) % 16.11/16.34 (step @p409 :rule cnf_or_neg :args (@t191 4)) % 16.11/16.34 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 16.11/16.34 (step @p411 :rule reordering :premises (@p410) :args ((or @t183 @t191))) % 16.11/16.34 (step @p412 :rule chain_m_resolution :premises (@p411 @p173) :args (@t183 @t192 @t193)) % 16.11/16.34 (step @p413 :rule cnf_or_neg :args (@t191 3)) % 16.11/16.34 (step @p414 :rule chain_m_resolution :premises (@p413 @p173) :args ((not @t185) @t192 @t193)) % 16.11/16.34 (step @p415 :rule cnf_or_pos :args (@t288)) % 16.11/16.34 (step @p416 :rule reordering :premises (@p415) :args ((or @t190 @t189 @t187 @t185 @t184 @t254 (not @t288)))) % 16.11/16.34 (step @p417 :rule chain_m_resolution :premises (@p416 @p196 @p194 @p188 @p414 @p412 @p406) :args (@t254 @t196 (@list @t190 @t188 @t186 @t185 @t183 @t288))) % 16.11/16.34 (step @p418 :rule cnf_or_pos :args (@t292)) % 16.11/16.34 (step @p419 :rule reordering :premises (@p418) :args ((or @t190 @t189 @t187 @t255 @t291 (not @t292)))) % 16.11/16.34 (step @p420 :rule chain_m_resolution :premises (@p419 @p196 @p194 @p188 @p417 @p405) :args (@t291 @t293 (@list @t190 @t188 @t186 @t254 @t292))) % 16.11/16.34 (step @p421 :rule cnf_and_pos :args (@t291 1)) % 16.11/16.34 (step @p422 :rule reordering :premises (@p421) :args ((or @t289 @t294))) % 16.11/16.34 (step @p423 :rule chain_m_resolution :premises (@p422 @p420) :args (@t289 @t245 @t295)) % 16.11/16.34 (step @p424 :rule cnf_or_pos :args (@t297)) % 16.11/16.34 (step @p425 :rule reordering :premises (@p424) :args ((or @t190 @t189 @t187 @t256 @t296 (not @t297)))) % 16.11/16.34 (step @p426 :rule chain_m_resolution :premises (@p425 @p196 @p194 @p188 @p423 @p379) :args (@t256 @t293 (@list @t190 @t188 @t186 @t289 @t297))) % 16.11/16.34 (step @p427 :rule cnf_and_pos :args (@t291 0)) % 16.11/16.34 (step @p428 :rule reordering :premises (@p427) :args ((or @t290 @t294))) % 16.11/16.34 (step @p429 :rule chain_m_resolution :premises (@p428 @p420) :args (@t290 @t245 @t295)) % 16.11/16.34 (step @p430 :rule cnf_or_pos :args (@t261)) % 16.11/16.34 (step @p431 :rule reordering :premises (@p430) :args ((or @t190 @t189 @t187 @t255 @t258 @t257 @t260 (not @t261)))) % 16.11/16.34 (step @p432 :rule chain_m_resolution :premises (@p431 @p196 @p194 @p188 @p417 @p429 @p426 @p353) :args (@t260 (@list true false false false true false false) (@list @t190 @t188 @t186 @t254 @t258 @t256 @t261))) % 16.11/16.34 (step @p433 :rule instantiate :premises (@p325) :args ((@list @t167))) % 16.11/16.34 (step @p434 :rule cnf_equiv_pos1 :args (@t260)) % 16.11/16.34 (step @p435 :rule reordering :premises (@p434) :args ((or (not @t250) @t249 (not @t260)))) % 16.11/16.34 (step @p436 :rule chain_m_resolution :premises (@p435 @p433 @p432) :args (@t249 (@list false false) (@list @t250 @t260))) % 16.11/16.34 (step @p437 :rule refl :args (@t168)) % 16.11/16.34 (step @p438 :rule cong :premises (@p437 @p436) :args (@t169)) % 16.11/16.34 (step @p439 :rule trans :premises (@p438 @p327)) % 16.11/16.34 (step @p440 :rule true_elim :premises (@p439)) % 16.11/16.34 (step @p441 :rule cnf_or_neg :args (@t191 9)) % 16.11/16.34 (step @p442 :rule chain_m_resolution :premises (@p441 @p173) :args ((not @t177) @t192 @t193)) % 16.11/16.34 (step @p443 :rule cnf_and_neg :args (@t177)) % 16.11/16.34 (step @p444 :rule chain_m_resolution :premises (@p443 @p442 @p440) :args ((not @t176) (@list true false) (@list @t177 @t169))) % 16.11/16.34 (step @p445 :rule cnf_or_neg :args (@t176 1)) % 16.11/16.34 (step @p446 :rule chain_m_resolution :premises (@p445 @p444) :args ((not @t173) @t192 @t298)) % 16.11/16.34 (step @p447 :rule aci_norm :args ((= (or (or @t300 @t299) @t84) (or @t300 @t299 @t84)))) % 16.11/16.34 (step @p448 :rule refl :args (@t84)) % 16.11/16.34 (step @p449 :rule bool-and-de-morgan :args (@t85 @t51 true)) % 16.11/16.34 (step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or (not @t86) @t84))) % 16.11/16.34 (step @p451 :rule trans :premises (@p450 @p447)) % 16.11/16.34 (step @p452 :rule bool-impl-elim :args (@t86 @t84)) % 16.11/16.34 (step @p453 :rule trans :premises (@p452 @p451)) % 16.11/16.34 (step @p454 :rule cong :premises (@p453) :args (@t88)) % 16.11/16.34 (step @p455 :rule eq_resolve :premises (@p33 @p454)) % 16.11/16.34 (step @p456 :rule instantiate :premises (@p455) :args ((@list @t171 @t112 @t170))) % 16.11/16.34 (step @p457 :rule bool-eq-true :args (@t302)) % 16.11/16.34 (step @p458 :rule eq-refl :args (@t170)) % 16.11/16.34 (step @p459 :rule refl :args (@t302)) % 16.11/16.34 (step @p460 :rule cong :premises (@p459 @p458) :args (@t303)) % 16.11/16.34 (step @p461 :rule trans :premises (@p460 @p457)) % 16.11/16.34 (step @p462 :rule refl :args (@t304)) % 16.11/16.34 (step @p463 :rule refl :args (@t178)) % 16.11/16.34 (step @p464 :rule refl :args (@t179)) % 16.11/16.34 (step @p465 :rule nary_cong :premises (@p294 @p293 @p292 @p464 @p463 @p462 @p461) :args (@t305)) % 16.11/16.34 (step @p466 :rule cong :premises (@p296 @p465) :args ((=> @t243 @t305))) % 16.11/16.34 (assume-push @p497 @t243) % 16.11/16.34 (step @p468 :rule instantiate :premises (@p283) :args ((@list @t113 @t112 @t170))) % 16.11/16.34 (step-pop @p498 :rule scope :premises (@p468)) % 16.11/16.34 (step @p469 :rule process_scope :premises (@p498) :args (@t305)) % 16.11/16.34 (step @p471 :rule eq_resolve :premises (@p469 @p466)) % 16.11/16.34 (step @p472 :rule implies_elim :premises (@p471)) % 16.11/16.34 (step @p473 :rule chain_m_resolution :premises (@p472 @p283) :args (@t306 @t245 @t246)) % 16.11/16.34 (step @p474 :rule cnf_or_pos :args (@t306)) % 16.11/16.34 (step @p475 :rule reordering :premises (@p474) :args ((or @t190 @t189 @t187 @t179 @t178 @t304 @t302 (not @t306)))) % 16.11/16.34 (step @p476 :rule chain_m_resolution :premises (@p475 @p196 @p194 @p188 @p182 @p180 @p199 @p473) :args (@t302 @t248 (@list @t190 @t188 @t186 @t179 @t165 @t194 @t306))) % 16.11/16.34 (step @p477 :rule cnf_and_pos :args (@t302 0)) % 16.11/16.34 (step @p478 :rule reordering :premises (@p477) :args ((or @t301 (not @t302)))) % 16.11/16.34 (step @p479 :rule chain_m_resolution :premises (@p478 @p476) :args (@t301 @t245 (@list @t302))) % 16.11/16.34 (step @p480 :rule bool-double-not-elim :args (@t174)) % 16.11/16.34 (step @p481 :rule refl :args (@t176)) % 16.11/16.34 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or @t176 (not @t175)))) % 16.11/16.34 (step @p483 :rule cnf_or_neg :args (@t176 0)) % 16.11/16.34 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 16.11/16.34 (step @p485 :rule reordering :premises (@p484) :args ((or @t174 @t176))) % 16.11/16.34 (step @p486 :rule chain_m_resolution :premises (@p485 @p444) :args (@t174 @t192 @t298)) % 16.11/16.34 (step @p487 :rule cnf_or_pos :args (@t309)) % 16.11/16.34 (step @p488 :rule reordering :premises (@p487) :args ((or @t175 @t307 @t308 (not @t309)))) % 16.11/16.34 (step @p489 :rule chain_m_resolution :premises (@p488 @p486 @p479 @p456) :args (@t307 (@list false false false) (@list @t174 @t301 @t309))) % 16.11/16.34 (step @p490 :rule cnf_or_pos :args (@t311)) % 16.11/16.34 (step @p491 :rule reordering :premises (@p490) :args ((or @t173 @t304 @t310 (not @t311)))) % 16.11/16.34 (step @p492 false :rule chain_m_resolution :premises (@p491 @p489 @p446 @p323 @p199) :args (false (@list false true false false) (@list @t307 @t173 @t311 @t194))) % 16.11/16.34 ) % 16.11/16.34 % SZS output end Proof % 16.11/16.34 % cvc5 exiting %------------------------------------------------------------------------------