%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW602_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 09:05:19 AM UTC 2026 % Result : Theorem 152.12s 153.01s % Output : Proof 152.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW602_2 : TPTP v9.2.1. Released v6.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.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 22:17:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_ARI % 152.12/153.01 --- Run --finite-model-find --decision=internal at 45... % 152.12/153.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 152.12/153.01 --- Run --no-e-matching --full-saturate-quant at 45... % 152.12/153.01 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 152.12/153.01 % SZS status Theorem % 152.12/153.01 % SZS output start Proof % 152.12/153.01 ( % 152.12/153.01 (declare-sort tptp.list_tree 0) % 152.12/153.01 (declare-sort tptp.tuple02 0) % 152.12/153.01 (declare-sort tptp.bool1 0) % 152.12/153.01 (declare-sort tptp.ty 0) % 152.12/153.01 (declare-sort tptp.map_int_lplist_treerp 0) % 152.12/153.01 (declare-sort tptp.uni 0) % 152.12/153.01 (declare-sort tptp.tree1 0) % 152.12/153.01 (declare-const tptp.tb2t3 (-> tptp.uni tptp.map_int_lplist_treerp)) % 152.12/153.01 (declare-const tptp.tb2t2 (-> tptp.uni tptp.tree1)) % 152.12/153.01 (declare-const tptp.tb2t1 (-> tptp.uni tptp.list_tree)) % 152.12/153.01 (declare-const tptp.tree tptp.ty) % 152.12/153.01 (declare-const tptp.node_proj_21 (-> tptp.tree1 tptp.tree1)) % 152.12/153.01 (declare-const tptp.node_proj_11 (-> tptp.tree1 tptp.tree1)) % 152.12/153.01 (declare-const tptp.node1 (-> tptp.tree1 tptp.tree1 tptp.tree1)) % 152.12/153.01 (declare-const tptp.empty1 tptp.tree1) % 152.12/153.01 (declare-const tptp.match_tree1 (-> tptp.ty tptp.tree1 tptp.uni tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.match_list1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.size1 (-> tptp.tree1 Int)) % 152.12/153.01 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 152.12/153.01 (declare-const tptp.int tptp.ty) % 152.12/153.01 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.t2tb3 (-> tptp.map_int_lplist_treerp tptp.uni)) % 152.12/153.01 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.t2tb2 (-> tptp.tree1 tptp.uni)) % 152.12/153.01 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 152.12/153.01 (declare-const tptp.tb2t (-> tptp.uni Int)) % 152.12/153.01 (declare-const tptp.true1 tptp.bool1) % 152.12/153.01 (declare-const tptp.t2tb (-> Int tptp.uni)) % 152.12/153.01 (declare-const tptp.cons_proj_21 (-> tptp.ty tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.all_trees1 (-> Int tptp.list_tree Bool)) % 152.12/153.01 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.t2tb1 (-> tptp.list_tree tptp.uni)) % 152.12/153.01 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 152.12/153.01 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 152.12/153.01 (declare-const tptp.false1 tptp.bool1) % 152.12/153.01 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.tuple03 tptp.tuple02) % 152.12/153.01 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 152.12/153.01 (declare-const tptp.length2 (-> tptp.ty tptp.uni Int)) % 152.12/153.01 (declare-const tptp.cons_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.distinct (-> tptp.ty tptp.uni Bool)) % 152.12/153.01 (declare-const tptp.length3 (-> tptp.ty tptp.uni Int)) % 152.12/153.01 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 152.12/153.01 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 152.12/153.01 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 152.12/153.01 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 152.12/153.01 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 152.12/153.01 (define @t1 () (@var "A" tptp.ty)) % 152.12/153.01 (define @t2 () (@list @t1)) % 152.12/153.01 (define @t3 () (@var "X2" tptp.uni)) % 152.12/153.01 (define @t4 () (@var "X1" tptp.uni)) % 152.12/153.01 (define @t5 () (@var "X" tptp.bool1)) % 152.12/153.01 (define @t6 () (@var "Z" tptp.uni)) % 152.12/153.01 (define @t7 () (@var "Z1" tptp.uni)) % 152.12/153.01 (define @t8 () (tptp.sort1 @t1 @t6)) % 152.12/153.01 (define @t9 () (@list @t1 @t6 @t7)) % 152.12/153.01 (define @t10 () (tptp.sort1 @t1 @t7)) % 152.12/153.01 (define @t11 () (@var "U" tptp.bool1)) % 152.12/153.01 (define @t12 () (@var "U" tptp.tuple02)) % 152.12/153.01 (define @t13 () (@var "Z" Int)) % 152.12/153.01 (define @t14 () (@var "Y" Int)) % 152.12/153.01 (define @t15 () (@var "X" Int)) % 152.12/153.01 (define @t16 () (tptp.nil @t1)) % 152.12/153.01 (define @t17 () (tptp.list @t1)) % 152.12/153.01 (define @t18 () (@var "X" tptp.uni)) % 152.12/153.01 (define @t19 () (tptp.cons @t1 @t18 @t4)) % 152.12/153.01 (define @t20 () (@list @t1 @t18 @t4)) % 152.12/153.01 (define @t21 () (@var "A1" tptp.ty)) % 152.12/153.01 (define @t22 () (@var "U1" tptp.uni)) % 152.12/153.01 (define @t23 () (@var "U" tptp.uni)) % 152.12/153.01 (define @t24 () (tptp.cons @t1 @t23 @t22)) % 152.12/153.01 (define @t25 () (@var "V1" tptp.uni)) % 152.12/153.01 (define @t26 () (@var "V" tptp.uni)) % 152.12/153.01 (define @t27 () (@list @t1 @t18)) % 152.12/153.01 (define @t28 () (@list @t1 @t23 @t22)) % 152.12/153.01 (define @t29 () (@list @t1 @t23)) % 152.12/153.01 (define @t30 () (tptp.sort1 @t1 @t18)) % 152.12/153.01 (define @t31 () (@var "L2" tptp.uni)) % 152.12/153.01 (define @t32 () (@list @t18 @t4)) % 152.12/153.01 (define @t33 () (@var "L3" tptp.uni)) % 152.12/153.01 (define @t34 () (@var "L1" tptp.uni)) % 152.12/153.01 (define @t35 () (tptp.infix_plpl @t1 @t34 @t31)) % 152.12/153.01 (define @t36 () (@var "L" tptp.uni)) % 152.12/153.01 (define @t37 () (@list @t1 @t36)) % 152.12/153.01 (define @t38 () (tptp.length2 @t1 @t36)) % 152.12/153.01 (define @t39 () (@list @t1 @t34 @t31)) % 152.12/153.01 (define @t40 () (tptp.mem @t1 @t18 @t31)) % 152.12/153.01 (define @t41 () (tptp.mem @t1 @t18 @t34)) % 152.12/153.01 (define @t42 () (tptp.mem @t1 @t18 @t36)) % 152.12/153.01 (define @t43 () (@list @t1 @t18 @t36)) % 152.12/153.01 (define @t44 () (tptp.cons @t1 @t18 @t16)) % 152.12/153.01 (define @t45 () (tptp.cons @t1 @t18 @t36)) % 152.12/153.01 (define @t46 () (tptp.distinct @t1 @t36)) % 152.12/153.01 (define @t47 () (not @t42)) % 152.12/153.01 (define @t48 () (@list @t18)) % 152.12/153.01 (define @t49 () (@var "B" tptp.ty)) % 152.12/153.01 (define @t50 () (tptp.map @t1 @t49)) % 152.12/153.01 (define @t51 () (@var "B1" tptp.uni)) % 152.12/153.01 (define @t52 () (@var "A2" tptp.uni)) % 152.12/153.01 (define @t53 () (@var "A1" tptp.uni)) % 152.12/153.01 (define @t54 () (@var "M" tptp.uni)) % 152.12/153.01 (define @t55 () (tptp.get @t49 @t1 (tptp.set @t49 @t1 @t54 @t53 @t51) @t52)) % 152.12/153.01 (define @t56 () (= @t53 @t52)) % 152.12/153.01 (define @t57 () (=> @t56 (= @t55 @t51))) % 152.12/153.01 (define @t58 () (tptp.sort1 @t49 @t51)) % 152.12/153.01 (define @t59 () (=> @t58 @t57)) % 152.12/153.01 (define @t60 () (@list @t1 @t49 @t54 @t53 @t52 @t51)) % 152.12/153.01 (define @t61 () (forall @t60 @t59)) % 152.12/153.01 (define @t62 () (not @t56)) % 152.12/153.01 (define @t63 () (tptp.array @t1)) % 152.12/153.01 (define @t64 () (@list @t1 @t15 @t4)) % 152.12/153.01 (define @t65 () (@var "U" Int)) % 152.12/153.01 (define @t66 () (tptp.mk_array1 @t1 @t65 @t22)) % 152.12/153.01 (define @t67 () (@list @t1 @t65 @t22)) % 152.12/153.01 (define @t68 () (tptp.map tptp.int @t1)) % 152.12/153.01 (define @t69 () (@var "X1" Int)) % 152.12/153.01 (define @t70 () (@var "I" Int)) % 152.12/153.01 (define @t71 () (tptp.t2tb @t70)) % 152.12/153.01 (define @t72 () (@var "J" tptp.uni)) % 152.12/153.01 (define @t73 () (@list @t72)) % 152.12/153.01 (define @t74 () (tptp.elts @t1 @t53)) % 152.12/153.01 (define @t75 () (@var "N" Int)) % 152.12/153.01 (define @t76 () (@var "X" tptp.tree1)) % 152.12/153.01 (define @t77 () (@var "U1" tptp.tree1)) % 152.12/153.01 (define @t78 () (@var "U" tptp.tree1)) % 152.12/153.01 (define @t79 () (tptp.node1 @t78 @t77)) % 152.12/153.01 (define @t80 () (@var "V1" tptp.tree1)) % 152.12/153.01 (define @t81 () (@var "V" tptp.tree1)) % 152.12/153.01 (define @t82 () (tptp.node_proj_11 @t79)) % 152.12/153.01 (define @t83 () (@list @t78 @t77)) % 152.12/153.01 (define @t84 () (forall @t83 (= @t82 @t78))) % 152.12/153.01 (define @t85 () (@var "X1" tptp.tree1)) % 152.12/153.01 (define @t86 () (tptp.size1 @t85)) % 152.12/153.01 (define @t87 () (tptp.size1 @t76)) % 152.12/153.01 (define @t88 () (+ (+ 1 @t87) @t86)) % 152.12/153.01 (define @t89 () (tptp.size1 (tptp.node1 @t76 @t85))) % 152.12/153.01 (define @t90 () (= @t89 @t88)) % 152.12/153.01 (define @t91 () (@list @t76 @t85)) % 152.12/153.01 (define @t92 () (forall @t91 @t90)) % 152.12/153.01 (define @t93 () (@var "T" tptp.tree1)) % 152.12/153.01 (define @t94 () (tptp.size1 @t93)) % 152.12/153.01 (define @t95 () (@list @t93)) % 152.12/153.01 (define @t96 () (@var "L" tptp.tree1)) % 152.12/153.01 (define @t97 () (tptp.size1 @t96)) % 152.12/153.01 (define @t98 () (@var "R" tptp.tree1)) % 152.12/153.01 (define @t99 () (tptp.node1 @t96 @t98)) % 152.12/153.01 (define @t100 () (= @t93 @t99)) % 152.12/153.01 (define @t101 () (and @t100 (< @t97 @t94))) % 152.12/153.01 (define @t102 () (@list @t96 @t98)) % 152.12/153.01 (define @t103 () (exists @t102 @t101)) % 152.12/153.01 (define @t104 () (=> (< 0 @t94) @t103)) % 152.12/153.01 (define @t105 () (forall @t95 @t104)) % 152.12/153.01 (define @t106 () (@var "X" tptp.list_tree)) % 152.12/153.01 (define @t107 () (tptp.list tptp.tree)) % 152.12/153.01 (define @t108 () (@var "I" tptp.list_tree)) % 152.12/153.01 (define @t109 () (@var "I" tptp.tree1)) % 152.12/153.01 (define @t110 () (@var "L" tptp.list_tree)) % 152.12/153.01 (define @t111 () (tptp.t2tb1 @t110)) % 152.12/153.01 (define @t112 () (tptp.t2tb2 @t93)) % 152.12/153.01 (define @t113 () (tptp.nil tptp.tree)) % 152.12/153.01 (define @t114 () (tptp.cons tptp.tree (tptp.t2tb2 tptp.empty1) @t113)) % 152.12/153.01 (define @t115 () (@var "R2" tptp.tree1)) % 152.12/153.01 (define @t116 () (@var "L2" tptp.tree1)) % 152.12/153.01 (define @t117 () (@var "R1" tptp.tree1)) % 152.12/153.01 (define @t118 () (@var "L1" tptp.tree1)) % 152.12/153.01 (define @t119 () (@var "X" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t120 () (@var "I" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t121 () (tptp.t2tb3 (tptp.tb2t3 @t72))) % 152.12/153.01 (define @t122 () (forall @t73 (= @t121 @t72))) % 152.12/153.01 (define @t123 () (@var "J" Int)) % 152.12/153.01 (define @t124 () (+ @t123 1)) % 152.12/153.01 (define @t125 () (= @t94 @t70)) % 152.12/153.01 (define @t126 () (and @t100 @t125 (< @t97 @t124))) % 152.12/153.01 (define @t127 () (exists @t102 @t126)) % 152.12/153.01 (define @t128 () (@var "A4" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t129 () (tptp.get @t107 tptp.int (tptp.t2tb3 @t128) @t71)) % 152.12/153.01 (define @t130 () (tptp.mem tptp.tree @t112 @t129)) % 152.12/153.01 (define @t131 () (=> @t130 @t127)) % 152.12/153.01 (define @t132 () (forall @t95 @t131)) % 152.12/153.01 (define @t133 () (@var "A3" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t134 () (tptp.t2tb3 @t133)) % 152.12/153.01 (define @t135 () (tptp.get @t107 tptp.int @t134 @t71)) % 152.12/153.01 (define @t136 () (@var "O" tptp.list_tree)) % 152.12/153.01 (define @t137 () (tptp.t2tb1 @t136)) % 152.12/153.01 (define @t138 () (tptp.tb2t3 (tptp.set @t107 tptp.int @t134 @t71 (tptp.infix_plpl tptp.tree @t137 @t135)))) % 152.12/153.01 (define @t139 () (= @t128 @t138)) % 152.12/153.01 (define @t140 () (+ @t75 1)) % 152.12/153.01 (define @t141 () (<= 0 @t140)) % 152.12/153.01 (define @t142 () (and @t141 @t139)) % 152.12/153.01 (define @t143 () (=> @t142 @t132)) % 152.12/153.01 (define @t144 () (@list @t128)) % 152.12/153.01 (define @t145 () (forall @t144 @t143)) % 152.12/153.01 (define @t146 () (< @t70 @t140)) % 152.12/153.01 (define @t147 () (<= 0 @t70)) % 152.12/153.01 (define @t148 () (and @t147 @t146)) % 152.12/153.01 (define @t149 () (=> @t148 @t145)) % 152.12/153.01 (define @t150 () (- @t70 1)) % 152.12/153.01 (define @t151 () (- @t150 @t123)) % 152.12/153.01 (define @t152 () (tptp.size1 @t98)) % 152.12/153.01 (define @t153 () (= @t152 @t151)) % 152.12/153.01 (define @t154 () (= @t97 @t123)) % 152.12/153.01 (define @t155 () (and @t100 @t154 @t153)) % 152.12/153.01 (define @t156 () (exists @t102 @t155)) % 152.12/153.01 (define @t157 () (tptp.mem tptp.tree @t112 @t137)) % 152.12/153.01 (define @t158 () (= @t157 @t156)) % 152.12/153.01 (define @t159 () (forall @t95 @t158)) % 152.12/153.01 (define @t160 () (tptp.distinct tptp.tree @t137)) % 152.12/153.01 (define @t161 () (and @t160 @t159)) % 152.12/153.01 (define @t162 () (=> @t161 @t149)) % 152.12/153.01 (define @t163 () (@list @t136)) % 152.12/153.01 (define @t164 () (forall @t163 @t162)) % 152.12/153.01 (define @t165 () (tptp.t2tb @t151)) % 152.12/153.01 (define @t166 () (tptp.get @t107 tptp.int @t134 @t165)) % 152.12/153.01 (define @t167 () (tptp.tb2t1 @t166)) % 152.12/153.01 (define @t168 () (tptp.all_trees1 @t151 @t167)) % 152.12/153.01 (define @t169 () (<= 0 @t151)) % 152.12/153.01 (define @t170 () (tptp.all_trees1 @t123 (tptp.tb2t1 (tptp.get @t107 tptp.int @t134 (tptp.t2tb @t123))))) % 152.12/153.01 (define @t171 () (<= 0 @t123)) % 152.12/153.01 (define @t172 () (and @t171 @t170 @t169 @t168)) % 152.12/153.01 (define @t173 () (=> @t172 @t164)) % 152.12/153.01 (define @t174 () (and @t171 (< @t123 @t140))) % 152.12/153.01 (define @t175 () (=> @t174 @t173)) % 152.12/153.01 (define @t176 () (and @t169 (< @t151 @t140))) % 152.12/153.01 (define @t177 () (=> @t176 @t175)) % 152.12/153.01 (define @t178 () (and @t141 @t147 @t146)) % 152.12/153.01 (define @t179 () (=> @t178 @t177)) % 152.12/153.01 (define @t180 () (and @t100 @t125 (< @t97 @t123))) % 152.12/153.01 (define @t181 () (exists @t102 @t180)) % 152.12/153.01 (define @t182 () (tptp.mem tptp.tree @t112 @t135)) % 152.12/153.01 (define @t183 () (= @t182 @t181)) % 152.12/153.01 (define @t184 () (forall @t95 @t183)) % 152.12/153.01 (define @t185 () (tptp.distinct tptp.tree @t135)) % 152.12/153.01 (define @t186 () (@var "K" Int)) % 152.12/153.01 (define @t187 () (tptp.t2tb @t186)) % 152.12/153.01 (define @t188 () (tptp.all_trees1 @t186 (tptp.tb2t1 (tptp.get @t107 tptp.int @t134 @t187)))) % 152.12/153.01 (define @t189 () (and (<= 0 @t186) (< @t186 @t70))) % 152.12/153.01 (define @t190 () (=> @t189 @t188)) % 152.12/153.01 (define @t191 () (@list @t186)) % 152.12/153.01 (define @t192 () (forall @t191 @t190)) % 152.12/153.01 (define @t193 () (and @t192 @t185 @t184)) % 152.12/153.01 (define @t194 () (=> @t193 @t179)) % 152.12/153.01 (define @t195 () (<= @t123 @t150)) % 152.12/153.01 (define @t196 () (and @t171 @t195)) % 152.12/153.01 (define @t197 () (=> @t196 @t194)) % 152.12/153.01 (define @t198 () (@list @t133 @t123)) % 152.12/153.01 (define @t199 () (forall @t198 @t197)) % 152.12/153.01 (define @t200 () (<= 0 @t150)) % 152.12/153.01 (define @t201 () (=> @t200 @t199)) % 152.12/153.01 (define @t202 () (@var "A1" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t203 () (tptp.t2tb3 @t202)) % 152.12/153.01 (define @t204 () (tptp.tb2t3 (tptp.set @t107 tptp.int @t203 @t71 @t113))) % 152.12/153.01 (define @t205 () (@var "A2" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t206 () (= @t205 @t204)) % 152.12/153.01 (define @t207 () (and @t141 @t206)) % 152.12/153.01 (define @t208 () (=> @t207 @t201)) % 152.12/153.01 (define @t209 () (@list @t205)) % 152.12/153.01 (define @t210 () (forall @t209 @t208)) % 152.12/153.01 (define @t211 () (=> @t178 @t210)) % 152.12/153.01 (define @t212 () (tptp.all_trees1 @t186 (tptp.tb2t1 (tptp.get @t107 tptp.int @t203 @t187)))) % 152.12/153.01 (define @t213 () (=> @t189 @t212)) % 152.12/153.01 (define @t214 () (forall @t191 @t213)) % 152.12/153.01 (define @t215 () (=> @t214 @t211)) % 152.12/153.01 (define @t216 () (and (<= 1 @t70) (<= @t70 @t75))) % 152.12/153.01 (define @t217 () (=> @t216 @t215)) % 152.12/153.01 (define @t218 () (@list @t202 @t70)) % 152.12/153.01 (define @t219 () (forall @t218 @t217)) % 152.12/153.01 (define @t220 () (=> (<= 1 @t75) @t219)) % 152.12/153.01 (define @t221 () (tptp.tb2t3 (tptp.set @t107 tptp.int (tptp.const @t107 tptp.int @t113) (tptp.t2tb 0) @t114))) % 152.12/153.01 (define @t222 () (@var "A" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t223 () (= @t222 @t221)) % 152.12/153.01 (define @t224 () (and @t141 @t223)) % 152.12/153.01 (define @t225 () (=> @t224 @t220)) % 152.12/153.01 (define @t226 () (@list @t222)) % 152.12/153.01 (define @t227 () (forall @t226 @t225)) % 152.12/153.01 (define @t228 () (<= 0 0)) % 152.12/153.01 (define @t229 () (and @t228 (< 0 @t140))) % 152.12/153.01 (define @t230 () (=> @t229 @t227)) % 152.12/153.01 (define @t231 () (=> @t141 @t230)) % 152.12/153.01 (define @t232 () (=> @t141 @t231)) % 152.12/153.01 (define @t233 () (=> (<= 0 @t75) @t232)) % 152.12/153.01 (define @t234 () (@list @t75)) % 152.12/153.01 (define @t235 () (forall @t234 @t233)) % 152.12/153.01 (define @t236 () (not @t235)) % 152.12/153.01 (define @t237 () (* -1 @t97)) % 152.12/153.01 (define @t238 () (@var "BOUND_VARIABLE_8993" Int)) % 152.12/153.01 (define @t239 () (+ @t238 @t237)) % 152.12/153.01 (define @t240 () (@var "BOUND_VARIABLE_8997" tptp.tree1)) % 152.12/153.01 (define @t241 () (@var "BOUND_VARIABLE_8989" Int)) % 152.12/153.01 (define @t242 () (and (= @t241 (tptp.size1 @t240)) (not (forall @t102 (or (not (= @t99 @t240)) (not (>= @t239 0))))))) % 152.12/153.01 (define @t243 () (tptp.t2tb @t241)) % 152.12/153.01 (define @t244 () (@var "BOUND_VARIABLE_8991" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t245 () (tptp.t2tb3 @t244)) % 152.12/153.01 (define @t246 () (tptp.get @t107 tptp.int @t245 @t243)) % 152.12/153.01 (define @t247 () (@var "BOUND_VARIABLE_8995" tptp.list_tree)) % 152.12/153.01 (define @t248 () (tptp.t2tb1 @t247)) % 152.12/153.01 (define @t249 () (not (tptp.mem tptp.tree (tptp.t2tb2 @t240) (tptp.get @t107 tptp.int (tptp.t2tb3 (tptp.tb2t3 (tptp.set @t107 tptp.int @t245 @t243 (tptp.infix_plpl tptp.tree @t248 @t246)))) @t243)))) % 152.12/153.01 (define @t250 () (not @t100)) % 152.12/153.01 (define @t251 () (not (forall @t95 (= (not (forall @t102 (or @t250 (not (= @t238 @t97)) (not (= @t241 (+ 1 @t238 @t152)))))) (tptp.mem tptp.tree @t112 @t248))))) % 152.12/153.01 (define @t252 () (not (tptp.distinct tptp.tree @t248))) % 152.12/153.01 (define @t253 () (* -1 @t238)) % 152.12/153.01 (define @t254 () (+ -1 @t241 @t253)) % 152.12/153.01 (define @t255 () (not (tptp.all_trees1 @t254 (tptp.tb2t1 (tptp.get @t107 tptp.int @t245 (tptp.t2tb @t254)))))) % 152.12/153.01 (define @t256 () (not (tptp.all_trees1 @t238 (tptp.tb2t1 (tptp.get @t107 tptp.int @t245 (tptp.t2tb @t238)))))) % 152.12/153.01 (define @t257 () (not (forall @t95 (= (tptp.mem tptp.tree @t112 @t246) (and (= @t241 @t94) (not (forall @t102 (or @t250 (not (>= @t239 1)))))))))) % 152.12/153.01 (define @t258 () (not (>= (+ @t241 @t253) 1))) % 152.12/153.01 (define @t259 () (not (>= @t238 0))) % 152.12/153.01 (define @t260 () (not (tptp.distinct tptp.tree @t246))) % 152.12/153.01 (define @t261 () (tptp.all_trees1 @t186 (tptp.tb2t1 (tptp.get @t107 tptp.int @t245 @t187)))) % 152.12/153.01 (define @t262 () (* -1 @t241)) % 152.12/153.01 (define @t263 () (+ @t186 @t262)) % 152.12/153.01 (define @t264 () (>= @t263 0)) % 152.12/153.01 (define @t265 () (>= @t186 0)) % 152.12/153.01 (define @t266 () (not @t265)) % 152.12/153.01 (define @t267 () (not (forall @t191 (or @t266 @t264 @t261)))) % 152.12/153.01 (define @t268 () (not (>= @t241 0))) % 152.12/153.01 (define @t269 () (@var "BOUND_VARIABLE_8987" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t270 () (tptp.all_trees1 @t186 (tptp.tb2t1 (tptp.get @t107 tptp.int (tptp.t2tb3 @t269) @t187)))) % 152.12/153.01 (define @t271 () (not (forall @t191 (or @t266 @t264 @t270)))) % 152.12/153.01 (define @t272 () (not (>= @t241 1))) % 152.12/153.01 (define @t273 () (or @t272 @t271 @t268 @t267 @t260 @t259 @t258 @t257 @t256 @t255 @t252 @t251 @t249 @t242)) % 152.12/153.01 (define @t274 () (* -1 @t253)) % 152.12/153.01 (define @t275 () (>= @t75 @t274)) % 152.12/153.01 (define @t276 () (* -1 (+ 1 @t262 @t238))) % 152.12/153.01 (define @t277 () (>= @t75 @t276)) % 152.12/153.01 (define @t278 () (* -1 @t262)) % 152.12/153.01 (define @t279 () (>= @t75 @t278)) % 152.12/153.01 (define @t280 () (* -1 -1)) % 152.12/153.01 (define @t281 () (* -1 1)) % 152.12/153.01 (define @t282 () (* -1 0)) % 152.12/153.01 (define @t283 () (ite (>= @t276 @t274) @t276 @t274)) % 152.12/153.01 (define @t284 () (ite (>= @t278 @t283) @t278 @t283)) % 152.12/153.01 (define @t285 () (ite (>= @t280 @t284) @t280 @t284)) % 152.12/153.01 (define @t286 () (ite (>= @t281 @t285) @t281 @t285)) % 152.12/153.01 (define @t287 () (ite (>= @t282 @t286) @t282 @t286)) % 152.12/153.01 (define @t288 () (* -1 @t283)) % 152.12/153.01 (define @t289 () (+ @t283 @t288)) % 152.12/153.01 (define @t290 () (* -1 @t274)) % 152.12/153.01 (define @t291 () (+ @t287 @t290)) % 152.12/153.01 (define @t292 () (* -1 @t284)) % 152.12/153.01 (define @t293 () (+ @t284 @t292)) % 152.12/153.01 (define @t294 () (+ @t287 @t288)) % 152.12/153.01 (define @t295 () (* -1 @t285)) % 152.12/153.01 (define @t296 () (+ @t285 @t295)) % 152.12/153.01 (define @t297 () (+ @t287 @t292)) % 152.12/153.01 (define @t298 () (* -1 @t286)) % 152.12/153.01 (define @t299 () (+ @t286 @t298)) % 152.12/153.01 (define @t300 () (+ @t287 @t295)) % 152.12/153.01 (define @t301 () (* -1 @t276)) % 152.12/153.01 (define @t302 () (+ @t287 @t301)) % 152.12/153.01 (define @t303 () (* -1 @t278)) % 152.12/153.01 (define @t304 () (+ @t287 @t303)) % 152.12/153.01 (define @t305 () (* -1 @t280)) % 152.12/153.01 (define @t306 () (+ @t287 @t305)) % 152.12/153.01 (define @t307 () (* -1 @t281)) % 152.12/153.01 (define @t308 () (+ @t287 @t307)) % 152.12/153.01 (define @t309 () (+ @t75 @t253)) % 152.12/153.01 (define @t310 () (>= @t309 0)) % 152.12/153.01 (define @t311 () (+ @t75 @t262 @t238)) % 152.12/153.01 (define @t312 () (>= @t311 -1)) % 152.12/153.01 (define @t313 () (+ @t75 @t262)) % 152.12/153.01 (define @t314 () (>= @t313 0)) % 152.12/153.01 (define @t315 () (>= @t75 1)) % 152.12/153.01 (define @t316 () (>= @t75 -1)) % 152.12/153.01 (define @t317 () (>= @t75 0)) % 152.12/153.01 (define @t318 () (not @t310)) % 152.12/153.01 (define @t319 () (not @t318)) % 152.12/153.01 (define @t320 () (not @t312)) % 152.12/153.01 (define @t321 () (not @t320)) % 152.12/153.01 (define @t322 () (not @t314)) % 152.12/153.01 (define @t323 () (not @t322)) % 152.12/153.01 (define @t324 () (not @t315)) % 152.12/153.01 (define @t325 () (not @t324)) % 152.12/153.01 (define @t326 () (not @t316)) % 152.12/153.01 (define @t327 () (not @t326)) % 152.12/153.01 (define @t328 () (not @t317)) % 152.12/153.01 (define @t329 () (not @t328)) % 152.12/153.01 (define @t330 () (and @t329 @t327 @t325 @t323 @t321 @t319)) % 152.12/153.01 (define @t331 () (or @t328 @t326 @t324 @t322 @t320 @t318)) % 152.12/153.01 (define @t332 () (not @t331)) % 152.12/153.01 (define @t333 () (forall @t234 @t331)) % 152.12/153.01 (define @t334 () (or @t333 @t273)) % 152.12/153.01 (define @t335 () (or @t331 @t273)) % 152.12/153.01 (define @t336 () (or @t328 @t326 @t324 @t272 @t322 @t271 @t268 @t267 @t260 @t259 @t258 @t257 @t320 @t318 @t256 @t255 @t252 @t251 @t249 @t242)) % 152.12/153.01 (define @t337 () (forall @t234 @t336)) % 152.12/153.01 (define @t338 () (@list @t269 @t241 @t244 @t238 @t247 @t240)) % 152.12/153.01 (define @t339 () (forall @t338 @t337)) % 152.12/153.01 (define @t340 () (forall (@list @t269 @t241 @t244 @t238 @t247 @t240 @t75) @t336)) % 152.12/153.01 (define @t341 () (@list @t75 @t269 @t241 @t244 @t238 @t247 @t240)) % 152.12/153.01 (define @t342 () (* -1 @t75)) % 152.12/153.01 (define @t343 () (+ @t342 @t241 @t253)) % 152.12/153.01 (define @t344 () (+ @t311 1)) % 152.12/153.01 (define @t345 () (+ @t241 @t342 @t253)) % 152.12/153.01 (define @t346 () (>= @t345 2)) % 152.12/153.01 (define @t347 () (* -1 @t186)) % 152.12/153.01 (define @t348 () (+ @t347 @t241)) % 152.12/153.01 (define @t349 () (+ @t263 1)) % 152.12/153.01 (define @t350 () (+ @t241 @t347)) % 152.12/153.01 (define @t351 () (>= @t350 1)) % 152.12/153.01 (define @t352 () (not @t351)) % 152.12/153.01 (define @t353 () (or @t266 @t352 @t261)) % 152.12/153.01 (define @t354 () (forall @t191 @t353)) % 152.12/153.01 (define @t355 () (not @t354)) % 152.12/153.01 (define @t356 () (or @t266 @t352 @t270)) % 152.12/153.01 (define @t357 () (forall @t191 @t356)) % 152.12/153.01 (define @t358 () (not @t357)) % 152.12/153.01 (define @t359 () (+ @t342 @t241)) % 152.12/153.01 (define @t360 () (+ @t313 1)) % 152.12/153.01 (define @t361 () (+ @t241 @t342)) % 152.12/153.01 (define @t362 () (>= @t361 1)) % 152.12/153.01 (define @t363 () (or @t328 @t326 @t324 @t272 @t362 @t358 @t268 @t355 @t260 @t259 @t258 @t257 @t346 @t318 @t256 @t255 @t252 @t251 @t249 @t242)) % 152.12/153.01 (define @t364 () (or @t272 @t362 @t358 @t268 @t355 @t260 @t259 @t258 @t257 @t346 @t318 @t256 @t255 @t252 @t251 @t249 @t242)) % 152.12/153.01 (define @t365 () (or @t328 @t326 @t324 @t364)) % 152.12/153.01 (define @t366 () (forall @t341 @t365)) % 152.12/153.01 (define @t367 () (forall @t338 @t365)) % 152.12/153.01 (define @t368 () (forall @t338 @t364)) % 152.12/153.01 (define @t369 () (@var "BOUND_VARIABLE_8875" tptp.tree1)) % 152.12/153.01 (define @t370 () (@var "BOUND_VARIABLE_8873" tptp.list_tree)) % 152.12/153.01 (define @t371 () (@var "BOUND_VARIABLE_8871" Int)) % 152.12/153.01 (define @t372 () (@var "BOUND_VARIABLE_8869" tptp.map_int_lplist_treerp)) % 152.12/153.01 (define @t373 () (or @t328 @t326 @t324 @t368)) % 152.12/153.01 (define @t374 () (+ @t371 @t237)) % 152.12/153.01 (define @t375 () (and (= @t70 (tptp.size1 @t369)) (not (forall @t102 (or (not (= @t99 @t369)) (not (>= @t374 0))))))) % 152.12/153.01 (define @t376 () (tptp.t2tb3 @t372)) % 152.12/153.01 (define @t377 () (tptp.get @t107 tptp.int @t376 @t71)) % 152.12/153.01 (define @t378 () (tptp.t2tb1 @t370)) % 152.12/153.01 (define @t379 () (not (tptp.mem tptp.tree (tptp.t2tb2 @t369) (tptp.get @t107 tptp.int (tptp.t2tb3 (tptp.tb2t3 (tptp.set @t107 tptp.int @t376 @t71 (tptp.infix_plpl tptp.tree @t378 @t377)))) @t71)))) % 152.12/153.01 (define @t380 () (not (forall @t95 (= (not (forall @t102 (or @t250 (not (= @t371 @t97)) (not (= @t70 (+ 1 @t371 @t152)))))) (tptp.mem tptp.tree @t112 @t378))))) % 152.12/153.01 (define @t381 () (not (tptp.distinct tptp.tree @t378))) % 152.12/153.01 (define @t382 () (* -1 @t371)) % 152.12/153.01 (define @t383 () (+ -1 @t70 @t382)) % 152.12/153.01 (define @t384 () (not (tptp.all_trees1 @t383 (tptp.tb2t1 (tptp.get @t107 tptp.int @t376 (tptp.t2tb @t383)))))) % 152.12/153.01 (define @t385 () (not (tptp.all_trees1 @t371 (tptp.tb2t1 (tptp.get @t107 tptp.int @t376 (tptp.t2tb @t371)))))) % 152.12/153.01 (define @t386 () (not (>= (+ @t75 @t382) 0))) % 152.12/153.01 (define @t387 () (>= (+ @t70 @t342 @t382) 2)) % 152.12/153.01 (define @t388 () (= @t70 @t94)) % 152.12/153.01 (define @t389 () (not (forall @t95 (= (tptp.mem tptp.tree @t112 @t377) (and @t388 (not (forall @t102 (or @t250 (not (>= @t374 1)))))))))) % 152.12/153.01 (define @t390 () (not (>= (+ @t70 @t382) 1))) % 152.12/153.01 (define @t391 () (not (>= @t371 0))) % 152.12/153.01 (define @t392 () (not (tptp.distinct tptp.tree @t377))) % 152.12/153.01 (define @t393 () (+ @t70 @t347)) % 152.12/153.01 (define @t394 () (>= @t393 1)) % 152.12/153.01 (define @t395 () (not @t394)) % 152.12/153.01 (define @t396 () (not (forall @t191 (or @t266 @t395 (tptp.all_trees1 @t186 (tptp.tb2t1 (tptp.get @t107 tptp.int @t376 @t187))))))) % 152.12/153.01 (define @t397 () (>= @t70 0)) % 152.12/153.01 (define @t398 () (not @t397)) % 152.12/153.01 (define @t399 () (or @t266 @t395 @t212)) % 152.12/153.01 (define @t400 () (forall @t191 @t399)) % 152.12/153.01 (define @t401 () (not @t400)) % 152.12/153.01 (define @t402 () (+ @t70 @t342)) % 152.12/153.01 (define @t403 () (>= @t402 1)) % 152.12/153.01 (define @t404 () (>= @t70 1)) % 152.12/153.01 (define @t405 () (not @t404)) % 152.12/153.01 (define @t406 () (or @t405 @t403 @t401 @t398 @t396 @t392 @t391 @t390 @t389 @t387 @t386 @t385 @t384 @t381 @t380 @t379 @t375)) % 152.12/153.01 (define @t407 () (@list @t202 @t70 @t372 @t371 @t370 @t369)) % 152.12/153.01 (define @t408 () (forall @t407 @t406)) % 152.12/153.01 (define @t409 () (or @t328 @t326 @t324 @t408)) % 152.12/153.01 (define @t410 () (or @t326 @t328 @t324 @t408)) % 152.12/153.01 (define @t411 () (or @t326 @t324 @t408)) % 152.12/153.01 (define @t412 () (=> @t317 @t411)) % 152.12/153.01 (define @t413 () (=> @t316 @t412)) % 152.12/153.01 (define @t414 () (=> @t316 @t413)) % 152.12/153.01 (define @t415 () (not (= @t221 @t221))) % 152.12/153.01 (define @t416 () (not @t223)) % 152.12/153.01 (define @t417 () (or @t416 @t416)) % 152.12/153.01 (define @t418 () (forall @t226 @t416)) % 152.12/153.01 (define @t419 () (or @t326 @t324 @t408 @t418)) % 152.12/153.01 (define @t420 () (or @t326 @t324 @t408 @t416)) % 152.12/153.01 (define @t421 () (or @t326 @t416 @t324 @t408)) % 152.12/153.01 (define @t422 () (or @t324 @t326 @t408)) % 152.12/153.01 (define @t423 () (or @t326 @t408)) % 152.12/153.01 (define @t424 () (=> @t315 @t423)) % 152.12/153.01 (define @t425 () (and @t316 @t223)) % 152.12/153.01 (define @t426 () (or @t396 @t392 @t391 @t390 @t389 @t387 @t386 @t385 @t384 @t381 @t380 @t379 @t375)) % 152.12/153.01 (define @t427 () (or @t405 @t403 @t401 @t398 @t426)) % 152.12/153.01 (define @t428 () (forall @t407 @t427)) % 152.12/153.01 (define @t429 () (@list @t372 @t371 @t370 @t369)) % 152.12/153.01 (define @t430 () (forall @t429 @t427)) % 152.12/153.01 (define @t431 () (forall @t429 @t426)) % 152.12/153.01 (define @t432 () (@var "BOUND_VARIABLE_8802" tptp.tree1)) % 152.12/153.01 (define @t433 () (@var "BOUND_VARIABLE_8800" tptp.list_tree)) % 152.12/153.01 (define @t434 () (or @t405 @t403 @t401 @t398 @t431)) % 152.12/153.01 (define @t435 () (+ @t123 @t237)) % 152.12/153.01 (define @t436 () (>= @t435 0)) % 152.12/153.01 (define @t437 () (not @t436)) % 152.12/153.01 (define @t438 () (and (= @t70 (tptp.size1 @t432)) (not (forall @t102 (or (not (= @t99 @t432)) @t437))))) % 152.12/153.01 (define @t439 () (tptp.t2tb1 @t433)) % 152.12/153.01 (define @t440 () (not (tptp.mem tptp.tree (tptp.t2tb2 @t432) (tptp.get @t107 tptp.int (tptp.t2tb3 (tptp.tb2t3 (tptp.set @t107 tptp.int @t134 @t71 (tptp.infix_plpl tptp.tree @t439 @t135)))) @t71)))) % 152.12/153.01 (define @t441 () (tptp.mem tptp.tree @t112 @t439)) % 152.12/153.01 (define @t442 () (+ 1 @t123 @t152)) % 152.12/153.01 (define @t443 () (= @t70 @t442)) % 152.12/153.01 (define @t444 () (not @t443)) % 152.12/153.01 (define @t445 () (= @t123 @t97)) % 152.12/153.01 (define @t446 () (not @t445)) % 152.12/153.01 (define @t447 () (or @t250 @t446 @t444)) % 152.12/153.01 (define @t448 () (not (forall @t102 @t447))) % 152.12/153.01 (define @t449 () (not (tptp.distinct tptp.tree @t439))) % 152.12/153.01 (define @t450 () (* -1 @t123)) % 152.12/153.01 (define @t451 () (+ -1 @t70 @t450)) % 152.12/153.01 (define @t452 () (tptp.all_trees1 @t451 (tptp.tb2t1 (tptp.get @t107 tptp.int @t134 (tptp.t2tb @t451))))) % 152.12/153.01 (define @t453 () (not @t452)) % 152.12/153.01 (define @t454 () (not @t170)) % 152.12/153.01 (define @t455 () (+ @t75 @t450)) % 152.12/153.01 (define @t456 () (>= @t455 0)) % 152.12/153.01 (define @t457 () (not @t456)) % 152.12/153.01 (define @t458 () (+ @t70 @t342 @t450)) % 152.12/153.01 (define @t459 () (>= @t458 2)) % 152.12/153.01 (define @t460 () (>= @t435 1)) % 152.12/153.01 (define @t461 () (not @t460)) % 152.12/153.01 (define @t462 () (or @t250 @t461)) % 152.12/153.01 (define @t463 () (forall @t102 @t462)) % 152.12/153.01 (define @t464 () (not @t463)) % 152.12/153.01 (define @t465 () (forall @t95 (= @t182 (and @t388 @t464)))) % 152.12/153.01 (define @t466 () (not @t465)) % 152.12/153.01 (define @t467 () (+ @t70 @t450)) % 152.12/153.01 (define @t468 () (>= @t467 1)) % 152.12/153.01 (define @t469 () (not @t468)) % 152.12/153.01 (define @t470 () (>= @t123 0)) % 152.12/153.01 (define @t471 () (not @t470)) % 152.12/153.01 (define @t472 () (not @t185)) % 152.12/153.01 (define @t473 () (or @t266 @t395 @t188)) % 152.12/153.01 (define @t474 () (forall @t191 @t473)) % 152.12/153.01 (define @t475 () (not @t474)) % 152.12/153.01 (define @t476 () (@list @t133 @t123 @t433 @t432)) % 152.12/153.01 (define @t477 () (forall @t476 (or @t475 @t472 @t471 @t469 @t466 @t459 @t457 @t454 @t453 @t449 (not (forall @t95 (= @t448 @t441))) @t440 @t438))) % 152.12/153.01 (define @t478 () (or @t405 @t403 @t401 @t398 @t477)) % 152.12/153.01 (define @t479 () (forall @t218 @t478)) % 152.12/153.01 (define @t480 () (or @t326 @t479)) % 152.12/153.01 (define @t481 () (or @t326 @t478)) % 152.12/153.01 (define @t482 () (or @t405 @t403 @t401 @t326 @t398 @t477)) % 152.12/153.01 (define @t483 () (or @t401 @t326 @t398 @t403 @t405 @t477)) % 152.12/153.01 (define @t484 () (or @t326 @t398 @t403 @t405 @t477)) % 152.12/153.01 (define @t485 () (or @t326 @t405 @t398 @t403 @t477)) % 152.12/153.01 (define @t486 () (or @t326 @t398 @t403)) % 152.12/153.01 (define @t487 () (not @t403)) % 152.12/153.01 (define @t488 () (not @t487)) % 152.12/153.01 (define @t489 () (or @t326 @t398 @t488)) % 152.12/153.01 (define @t490 () (or @t398 @t488)) % 152.12/153.01 (define @t491 () (and @t397 @t487)) % 152.12/153.01 (define @t492 () (not @t491)) % 152.12/153.01 (define @t493 () (and @t316 @t397 @t487)) % 152.12/153.01 (define @t494 () (not @t493)) % 152.12/153.01 (define @t495 () (=> @t493 @t485)) % 152.12/153.01 (define @t496 () (=> @t400 @t495)) % 152.12/153.01 (define @t497 () (and @t404 @t487)) % 152.12/153.01 (define @t498 () (not (= @t204 @t204))) % 152.12/153.01 (define @t499 () (not @t206)) % 152.12/153.01 (define @t500 () (or @t499 @t499)) % 152.12/153.01 (define @t501 () (forall @t209 @t499)) % 152.12/153.01 (define @t502 () (or @t326 @t405 @t398 @t403 @t477 @t501)) % 152.12/153.01 (define @t503 () (or @t326 @t405 @t398 @t403 @t477 @t499)) % 152.12/153.01 (define @t504 () (or @t326 @t499 @t405 @t398 @t403 @t477)) % 152.12/153.01 (define @t505 () (or @t405 @t326 @t398 @t403 @t477)) % 152.12/153.01 (define @t506 () (or @t326 @t398 @t403 @t477)) % 152.12/153.01 (define @t507 () (=> @t404 @t506)) % 152.12/153.01 (define @t508 () (and @t316 @t206)) % 152.12/153.01 (define @t509 () (forall @t95 (= @t441 @t448))) % 152.12/153.01 (define @t510 () (not @t509)) % 152.12/153.01 (define @t511 () (or @t475 @t472 @t471 @t469 @t466 @t459 @t457 @t454 @t453 @t449 @t510 @t440 @t438)) % 152.12/153.01 (define @t512 () (or @t449 @t510 @t440 @t438)) % 152.12/153.01 (define @t513 () (or @t475 @t472 @t471 @t469 @t466 @t459 @t457 @t454 @t453 @t512)) % 152.12/153.01 (define @t514 () (forall @t476 @t513)) % 152.12/153.01 (define @t515 () (@list @t433 @t432)) % 152.12/153.01 (define @t516 () (forall @t515 @t513)) % 152.12/153.01 (define @t517 () (forall @t515 @t512)) % 152.12/153.01 (define @t518 () (@var "BOUND_VARIABLE_8744" tptp.tree1)) % 152.12/153.01 (define @t519 () (or @t475 @t472 @t471 @t469 @t466 @t459 @t457 @t454 @t453 @t517)) % 152.12/153.01 (define @t520 () (and (= @t70 (tptp.size1 @t518)) (not (forall @t102 (or (not (= @t99 @t518)) @t437))))) % 152.12/153.01 (define @t521 () (tptp.get @t107 tptp.int (tptp.t2tb3 @t138) @t71)) % 152.12/153.01 (define @t522 () (not (tptp.mem tptp.tree (tptp.t2tb2 @t518) @t521))) % 152.12/153.01 (define @t523 () (forall @t95 (= @t157 @t448))) % 152.12/153.01 (define @t524 () (not @t523)) % 152.12/153.01 (define @t525 () (not @t160)) % 152.12/153.01 (define @t526 () (or @t525 @t524 @t522 @t520)) % 152.12/153.01 (define @t527 () (@list @t136 @t518)) % 152.12/153.01 (define @t528 () (forall @t527 @t526)) % 152.12/153.01 (define @t529 () (or @t475 @t472 @t471 @t469 @t466 @t459 @t457 @t454 @t453 @t528)) % 152.12/153.01 (define @t530 () (forall @t198 @t529)) % 152.12/153.01 (define @t531 () (or @t326 @t398 @t403 @t530)) % 152.12/153.01 (define @t532 () (or @t326 @t398 @t403 @t529)) % 152.12/153.01 (define @t533 () (or @t471 @t469 @t475 @t472 @t466 @t326 @t398 @t403 @t459 @t457 @t454 @t453 @t528)) % 152.12/153.01 (define @t534 () (or @t475 @t472 @t466 @t326 @t398 @t403 @t469 @t459 @t471 @t457 @t454 @t453 @t528)) % 152.12/153.01 (define @t535 () (or @t326 @t398 @t403 @t469 @t459 @t471 @t457 @t454 @t453 @t528)) % 152.12/153.01 (define @t536 () (or @t475 @t472 @t466)) % 152.12/153.01 (define @t537 () (or @t469 @t459 @t471 @t457 @t454 @t453 @t398 @t403 @t326 @t528)) % 152.12/153.01 (define @t538 () (or @t471 @t457 @t454 @t469 @t453 @t398 @t403 @t326 @t528)) % 152.12/153.01 (define @t539 () (or @t471 @t454 @t469 @t453 @t398 @t403 @t326 @t528)) % 152.12/153.01 (define @t540 () (or @t398 @t403 @t326 @t528)) % 152.12/153.01 (define @t541 () (or @t471 @t454 @t469 @t453)) % 152.12/153.01 (define @t542 () (and @t470 @t170 @t468 @t452)) % 152.12/153.01 (define @t543 () (=> @t542 @t540)) % 152.12/153.01 (define @t544 () (and @t470 @t456)) % 152.12/153.01 (define @t545 () (not @t459)) % 152.12/153.01 (define @t546 () (=> @t544 @t543)) % 152.12/153.01 (define @t547 () (and @t468 @t545)) % 152.12/153.01 (define @t548 () (=> @t547 @t546)) % 152.12/153.01 (define @t549 () (=> @t493 @t548)) % 152.12/153.01 (define @t550 () (and @t474 @t185 @t465)) % 152.12/153.01 (define @t551 () (=> @t550 @t549)) % 152.12/153.01 (define @t552 () (and @t470 @t468)) % 152.12/153.01 (define @t553 () (or @t522 @t520)) % 152.12/153.01 (define @t554 () (or @t525 @t524 @t553)) % 152.12/153.01 (define @t555 () (forall @t527 @t554)) % 152.12/153.01 (define @t556 () (@list @t518)) % 152.12/153.01 (define @t557 () (forall @t556 @t554)) % 152.12/153.01 (define @t558 () (forall @t556 @t553)) % 152.12/153.01 (define @t559 () (@var "BOUND_VARIABLE_8689" tptp.tree1)) % 152.12/153.01 (define @t560 () (@list @t559)) % 152.12/153.01 (define @t561 () (or @t525 @t524 @t558)) % 152.12/153.01 (define @t562 () (= @t70 (tptp.size1 @t559))) % 152.12/153.01 (define @t563 () (and @t562 (not (forall @t102 (or (not (= @t99 @t559)) @t437))))) % 152.12/153.01 (define @t564 () (tptp.t2tb2 @t559)) % 152.12/153.01 (define @t565 () (not (tptp.mem tptp.tree @t564 @t521))) % 152.12/153.01 (define @t566 () (or @t565 @t563)) % 152.12/153.01 (define @t567 () (@list @t559)) % 152.12/153.01 (define @t568 () (forall @t567 @t566)) % 152.12/153.01 (define @t569 () (or @t525 @t524 @t568)) % 152.12/153.01 (define @t570 () (forall @t163 @t569)) % 152.12/153.01 (define @t571 () (or @t398 @t403 @t326 @t570)) % 152.12/153.01 (define @t572 () (or @t398 @t403 @t326 @t569)) % 152.12/153.01 (define @t573 () (or @t525 @t524 @t398 @t403 @t326 @t568)) % 152.12/153.01 (define @t574 () (or @t398 @t403 @t326 @t568)) % 152.12/153.01 (define @t575 () (or @t326 @t568)) % 152.12/153.01 (define @t576 () (=> @t491 @t575)) % 152.12/153.01 (define @t577 () (and @t160 @t523)) % 152.12/153.01 (define @t578 () (not (= @t138 @t138))) % 152.12/153.01 (define @t579 () (or @t578 @t565 @t563)) % 152.12/153.01 (define @t580 () (not (tptp.mem tptp.tree @t564 @t129))) % 152.12/153.01 (define @t581 () (not @t139)) % 152.12/153.01 (define @t582 () (or @t581 @t581 @t580 @t563)) % 152.12/153.01 (define @t583 () (or @t581 @t580 @t563)) % 152.12/153.01 (define @t584 () (forall @t144 @t583)) % 152.12/153.01 (define @t585 () (forall @t567 @t584)) % 152.12/153.01 (define @t586 () (forall (@list @t559 @t128) @t583)) % 152.12/153.01 (define @t587 () (@list @t128 @t559)) % 152.12/153.01 (define @t588 () (not (= @t559 @t99))) % 152.12/153.01 (define @t589 () (or @t588 @t437)) % 152.12/153.01 (define @t590 () (forall @t102 @t589)) % 152.12/153.01 (define @t591 () (not @t590)) % 152.12/153.01 (define @t592 () (and @t562 @t591)) % 152.12/153.01 (define @t593 () (or @t581 @t580 @t592)) % 152.12/153.01 (define @t594 () (or @t580 @t592)) % 152.12/153.01 (define @t595 () (or @t581 @t594)) % 152.12/153.01 (define @t596 () (forall @t587 @t595)) % 152.12/153.01 (define @t597 () (forall @t567 @t595)) % 152.12/153.01 (define @t598 () (forall @t567 @t594)) % 152.12/153.01 (define @t599 () (or @t581 @t598)) % 152.12/153.01 (define @t600 () (or @t250 @t437)) % 152.12/153.01 (define @t601 () (forall @t102 @t600)) % 152.12/153.01 (define @t602 () (not @t601)) % 152.12/153.01 (define @t603 () (not @t130)) % 152.12/153.01 (define @t604 () (forall @t95 (or @t603 (and @t388 @t602)))) % 152.12/153.01 (define @t605 () (or @t581 @t604)) % 152.12/153.01 (define @t606 () (forall @t144 @t605)) % 152.12/153.01 (define @t607 () (or @t326 @t606)) % 152.12/153.01 (define @t608 () (or @t326 @t605)) % 152.12/153.01 (define @t609 () (or @t326 @t581 @t604)) % 152.12/153.01 (define @t610 () (and @t316 @t139)) % 152.12/153.01 (define @t611 () (not @t388)) % 152.12/153.01 (define @t612 () (not @t611)) % 152.12/153.01 (define @t613 () (or @t611 @t601)) % 152.12/153.01 (define @t614 () (not @t613)) % 152.12/153.01 (define @t615 () (or @t611 @t600)) % 152.12/153.01 (define @t616 () (or @t250 @t611 @t437)) % 152.12/153.01 (define @t617 () (and @t100 @t388 @t436)) % 152.12/153.01 (define @t618 () (forall @t102 (not @t617))) % 152.12/153.01 (define @t619 () (not @t618)) % 152.12/153.01 (define @t620 () (+ 1 @t123)) % 152.12/153.01 (define @t621 () (+ @t435 1)) % 152.12/153.01 (define @t622 () (>= @t97 @t124)) % 152.12/153.01 (define @t623 () (+ 1 @t75)) % 152.12/153.01 (define @t624 () (= @t140 @t623)) % 152.12/153.01 (define @t625 () (* -1 (- @t402 1))) % 152.12/153.01 (define @t626 () (>= @t70 @t140)) % 152.12/153.01 (define @t627 () (not @t626)) % 152.12/153.01 (define @t628 () (and @t100 @t445 @t443)) % 152.12/153.01 (define @t629 () (forall @t102 (not @t628))) % 152.12/153.01 (define @t630 () (not @t629)) % 152.12/153.01 (define @t631 () (+ -1 @t70)) % 152.12/153.01 (define @t632 () (+ @t70 @t281)) % 152.12/153.01 (define @t633 () (+ @t150 @t450)) % 152.12/153.01 (define @t634 () (- @t97 @t123)) % 152.12/153.01 (define @t635 () (* -1 (- @t467 1))) % 152.12/153.01 (define @t636 () (+ @t455 1)) % 152.12/153.01 (define @t637 () (>= @t123 @t140)) % 152.12/153.01 (define @t638 () (>= @t151 @t140)) % 152.12/153.01 (define @t639 () (or @t611 @t463)) % 152.12/153.01 (define @t640 () (= @t182 (not @t639))) % 152.12/153.01 (define @t641 () (or @t611 @t462)) % 152.12/153.01 (define @t642 () (or @t250 @t611 @t461)) % 152.12/153.01 (define @t643 () (and @t100 @t388 @t460)) % 152.12/153.01 (define @t644 () (forall @t102 (not @t643))) % 152.12/153.01 (define @t645 () (not @t644)) % 152.12/153.01 (define @t646 () (>= @t97 @t123)) % 152.12/153.01 (define @t647 () (or @t266 @t395)) % 152.12/153.01 (define @t648 () (and @t265 @t394)) % 152.12/153.01 (define @t649 () (not @t648)) % 152.12/153.01 (define @t650 () (+ @t393 1)) % 152.12/153.01 (define @t651 () (>= @t186 @t70)) % 152.12/153.01 (define @t652 () (>= 0 @t140)) % 152.12/153.01 (define @t653 () (forall @t338 @t273)) % 152.12/153.01 (define @t654 () (@quantifiers_skolemize @t653 1)) % 152.12/153.01 (define @t655 () (>= @t654 1)) % 152.12/153.01 (define @t656 () (@quantifiers_skolemize @t653 3)) % 152.12/153.01 (define @t657 () (+ @t656 @t237)) % 152.12/153.01 (define @t658 () (@quantifiers_skolemize @t653 5)) % 152.12/153.01 (define @t659 () (not (= @t99 @t658))) % 152.12/153.01 (define @t660 () (forall @t102 (or @t659 (not (>= @t657 0))))) % 152.12/153.01 (define @t661 () (not @t660)) % 152.12/153.01 (define @t662 () (tptp.size1 @t658)) % 152.12/153.01 (define @t663 () (= @t654 @t662)) % 152.12/153.01 (define @t664 () (and @t663 @t661)) % 152.12/153.01 (define @t665 () (tptp.t2tb @t654)) % 152.12/153.01 (define @t666 () (tptp.t2tb3 (@quantifiers_skolemize @t653 2))) % 152.12/153.01 (define @t667 () (tptp.get @t107 tptp.int @t666 @t665)) % 152.12/153.01 (define @t668 () (tptp.t2tb1 (@quantifiers_skolemize @t653 4))) % 152.12/153.01 (define @t669 () (tptp.infix_plpl tptp.tree @t668 @t667)) % 152.12/153.01 (define @t670 () (tptp.set @t107 tptp.int @t666 @t665 @t669)) % 152.12/153.01 (define @t671 () (tptp.t2tb2 @t658)) % 152.12/153.01 (define @t672 () (tptp.mem tptp.tree @t671 (tptp.get @t107 tptp.int (tptp.t2tb3 (tptp.tb2t3 @t670)) @t665))) % 152.12/153.01 (define @t673 () (not @t672)) % 152.12/153.01 (define @t674 () (not (= @t654 (+ 1 @t656 @t152)))) % 152.12/153.01 (define @t675 () (not (= @t656 @t97))) % 152.12/153.01 (define @t676 () (forall @t95 (= (not (forall @t102 (or @t250 @t675 @t674))) (tptp.mem tptp.tree @t112 @t668)))) % 152.12/153.01 (define @t677 () (not @t676)) % 152.12/153.01 (define @t678 () (* -1 @t656)) % 152.12/153.01 (define @t679 () (+ -1 @t654 @t678)) % 152.12/153.01 (define @t680 () (not (>= @t657 1))) % 152.12/153.01 (define @t681 () (forall @t95 (= (tptp.mem tptp.tree @t112 @t667) (and (= @t654 @t94) (not (forall @t102 (or @t250 @t680))))))) % 152.12/153.01 (define @t682 () (not @t681)) % 152.12/153.01 (define @t683 () (* -1 @t654)) % 152.12/153.01 (define @t684 () (>= (+ @t186 @t683) 0)) % 152.12/153.01 (define @t685 () (not @t655)) % 152.12/153.01 (define @t686 () (or @t685 (not (forall @t191 (or @t266 @t684 (tptp.all_trees1 @t186 (tptp.tb2t1 (tptp.get @t107 tptp.int (tptp.t2tb3 (@quantifiers_skolemize @t653 0)) @t187)))))) (not (>= @t654 0)) (not (forall @t191 (or @t266 @t684 (tptp.all_trees1 @t186 (tptp.tb2t1 (tptp.get @t107 tptp.int @t666 @t187)))))) (not (tptp.distinct tptp.tree @t667)) (not (>= @t656 0)) (not (>= (+ @t654 @t678) 1)) @t682 (not (tptp.all_trees1 @t656 (tptp.tb2t1 (tptp.get @t107 tptp.int @t666 (tptp.t2tb @t656))))) (not (tptp.all_trees1 @t679 (tptp.tb2t1 (tptp.get @t107 tptp.int @t666 (tptp.t2tb @t679))))) (not (tptp.distinct tptp.tree @t668)) @t677 @t673 @t664)) % 152.12/153.01 (define @t687 () (@list true)) % 152.12/153.01 (define @t688 () (@list @t686)) % 152.12/153.01 (define @t689 () (forall @t102 (or @t659 @t680))) % 152.12/153.01 (define @t690 () (not @t689)) % 152.12/153.01 (define @t691 () (and @t663 @t690)) % 152.12/153.01 (define @t692 () (not @t691)) % 152.12/153.01 (define @t693 () (not (= @t658 @t99))) % 152.12/153.01 (define @t694 () (or @t693 @t680)) % 152.12/153.01 (define @t695 () (forall @t102 @t694)) % 152.12/153.01 (define @t696 () (not @t695)) % 152.12/153.01 (define @t697 () (and @t663 @t696)) % 152.12/153.01 (define @t698 () (tptp.mem tptp.tree @t671 @t667)) % 152.12/153.01 (define @t699 () (= @t698 @t697)) % 152.12/153.01 (define @t700 () (@list @t658)) % 152.12/153.01 (define @t701 () (= @t698 @t691)) % 152.12/153.01 (define @t702 () (@list false)) % 152.12/153.01 (define @t703 () (tptp.get @t107 tptp.int @t670 @t665)) % 152.12/153.01 (define @t704 () (= @t51 (tptp.get @t49 @t1 (tptp.set @t49 @t1 @t54 @t52 @t51) @t52))) % 152.12/153.01 (define @t705 () (not @t58)) % 152.12/153.01 (define @t706 () (not (= @t52 @t52))) % 152.12/153.01 (define @t707 () (or @t705 @t706 @t704)) % 152.12/153.01 (define @t708 () (@list @t1 @t49 @t54 @t52 @t51)) % 152.12/153.01 (define @t709 () (= @t51 @t55)) % 152.12/153.01 (define @t710 () (or @t62 @t705 @t62 @t709)) % 152.12/153.01 (define @t711 () (@list @t53)) % 152.12/153.01 (define @t712 () (or @t705 @t62 @t709)) % 152.12/153.01 (define @t713 () (forall @t711 @t712)) % 152.12/153.01 (define @t714 () (forall @t708 @t713)) % 152.12/153.01 (define @t715 () (forall (@list @t1 @t49 @t54 @t52 @t51 @t53) @t712)) % 152.12/153.01 (define @t716 () (=> @t56 @t709)) % 152.12/153.01 (define @t717 () (= @t669 @t703)) % 152.12/153.01 (define @t718 () (tptp.sort1 @t107 @t669)) % 152.12/153.01 (define @t719 () (not @t718)) % 152.12/153.01 (define @t720 () (or @t719 @t717)) % 152.12/153.01 (define @t721 () (@list false false)) % 152.12/153.01 (define @t722 () (tptp.mem tptp.tree @t671 @t669)) % 152.12/153.01 (define @t723 () (tptp.mem tptp.tree @t671 @t668)) % 152.12/153.01 (define @t724 () (or @t723 @t698)) % 152.12/153.01 (define @t725 () (= @t722 @t724)) % 152.12/153.01 (define @t726 () (forall @t102 (or @t659 @t675 @t674))) % 152.12/153.01 (define @t727 () (not @t726)) % 152.12/153.01 (define @t728 () (or @t693 @t675 @t674)) % 152.12/153.01 (define @t729 () (forall @t102 @t728)) % 152.12/153.01 (define @t730 () (not @t729)) % 152.12/153.01 (define @t731 () (= @t730 @t723)) % 152.12/153.01 (define @t732 () (= @t723 @t727)) % 152.12/153.01 (define @t733 () (not @t723)) % 152.12/153.01 (define @t734 () (@quantifiers_skolemize @t726 1)) % 152.12/153.01 (define @t735 () (tptp.size1 @t734)) % 152.12/153.01 (define @t736 () (+ 1 @t656 @t735)) % 152.12/153.01 (define @t737 () (= @t654 @t736)) % 152.12/153.01 (define @t738 () (not @t737)) % 152.12/153.01 (define @t739 () (@quantifiers_skolemize @t726 0)) % 152.12/153.01 (define @t740 () (tptp.size1 @t739)) % 152.12/153.01 (define @t741 () (= @t656 @t740)) % 152.12/153.01 (define @t742 () (not @t741)) % 152.12/153.01 (define @t743 () (tptp.node1 @t739 @t734)) % 152.12/153.01 (define @t744 () (= @t658 @t743)) % 152.12/153.01 (define @t745 () (not @t744)) % 152.12/153.01 (define @t746 () (or @t745 @t742 @t738)) % 152.12/153.01 (define @t747 () (not @t746)) % 152.12/153.01 (define @t748 () (not (= @t743 @t658))) % 152.12/153.01 (define @t749 () (or @t748 @t742 @t738)) % 152.12/153.01 (define @t750 () (not @t749)) % 152.12/153.01 (define @t751 () (tptp.size1 @t743)) % 152.12/153.01 (define @t752 () (= @t662 @t751)) % 152.12/153.01 (define @t753 () (+ 1 @t87 @t86)) % 152.12/153.01 (define @t754 () (+ @t86 @t87 1)) % 152.12/153.01 (define @t755 () (* -1 @t735)) % 152.12/153.01 (define @t756 () (+ -1 @t755 @t751)) % 152.12/153.01 (define @t757 () (- @t740 @t756)) % 152.12/153.01 (define @t758 () (+ 1 @t740 @t735)) % 152.12/153.01 (define @t759 () (= @t740 @t756)) % 152.12/153.01 (define @t760 () (= @t751 @t758)) % 152.12/153.01 (define @t761 () (forall @t91 (= @t89 @t753))) % 152.12/153.01 (define @t762 () (@list @t739 @t734)) % 152.12/153.01 (define @t763 () (* -1 @t662)) % 152.12/153.01 (define @t764 () (+ @t654 @t763)) % 152.12/153.01 (define @t765 () (>= @t764 0)) % 152.12/153.01 (define @t766 () (not @t759)) % 152.12/153.01 (define @t767 () (not @t752)) % 152.12/153.01 (define @t768 () (not @t765)) % 152.12/153.01 (define @t769 () (>= 0 0)) % 152.12/153.01 (define @t770 () (+ 0 0 @t281 @t282 @t280)) % 152.12/153.01 (define @t771 () (* -1 @t740)) % 152.12/153.01 (define @t772 () (* 0 @t654)) % 152.12/153.01 (define @t773 () (= @t772 0)) % 152.12/153.01 (define @t774 () (* 0 @t751)) % 152.12/153.01 (define @t775 () (= @t774 0)) % 152.12/153.01 (define @t776 () (+ @t774 @t735 @t740 @t755 @t771 @t763 @t662 @t656 @t678 @t772)) % 152.12/153.01 (define @t777 () (* -1 @t751)) % 152.12/153.01 (define @t778 () (+ @t740 @t735 @t777)) % 152.12/153.01 (define @t779 () (+ @t656 @t771)) % 152.12/153.01 (define @t780 () (* -1 @t779)) % 152.12/153.01 (define @t781 () (+ @t654 @t678 @t755)) % 152.12/153.01 (define @t782 () (+ @t662 @t777)) % 152.12/153.01 (define @t783 () (+ @t764 @t782 (* -1 @t781) @t780 (* -1 @t778))) % 152.12/153.01 (define @t784 () (>= @t783 @t770)) % 152.12/153.01 (define @t785 () (= @t778 -1)) % 152.12/153.01 (define @t786 () (= (* 1 (- @t778 -1)) (* 1 @t757))) % 152.12/153.01 (define @t787 () (= @t785 @t759)) % 152.12/153.01 (define @t788 () (< -1 0)) % 152.12/153.01 (define @t789 () (= @t779 0)) % 152.12/153.01 (define @t790 () (= (* 1 (- @t779 0)) (* 1 (- @t656 @t740)))) % 152.12/153.01 (define @t791 () (= @t789 @t741)) % 152.12/153.01 (define @t792 () (= @t781 1)) % 152.12/153.01 (define @t793 () (= (* -1 (- @t781 1)) (* -1 (- @t654 @t736)))) % 152.12/153.01 (define @t794 () (= @t792 @t737)) % 152.12/153.01 (define @t795 () (= (* 1 (- @t782 0)) (* 1 (- @t662 @t751)))) % 152.12/153.01 (define @t796 () (= @t782 0)) % 152.12/153.01 (define @t797 () (= @t796 @t752)) % 152.12/153.01 (define @t798 () (>= @t764 1)) % 152.12/153.01 (define @t799 () (<= 0 -1)) % 152.12/153.01 (define @t800 () (+ @t281 @t282 1 0 -1)) % 152.12/153.01 (define @t801 () (+ @t774 @t755 @t771 @t735 @t740 @t662 @t763 @t678 @t656 @t772)) % 152.12/153.01 (define @t802 () (* -1 @t764)) % 152.12/153.01 (define @t803 () (+ @t802 (* -1 @t782) @t781 @t779 @t778)) % 152.12/153.01 (define @t804 () (not @t798)) % 152.12/153.01 (define @t805 () (not @t804)) % 152.12/153.01 (define @t806 () (not @t663)) % 152.12/153.01 (define @t807 () (+ 0 1)) % 152.12/153.01 (define @t808 () (>= @t764 @t807)) % 152.12/153.01 (define @t809 () (= (* 1 (- @t764 0)) (* 1 (- @t654 @t662)))) % 152.12/153.01 (define @t810 () (= @t764 0)) % 152.12/153.01 (define @t811 () (= @t810 @t663)) % 152.12/153.01 (define @t812 () (and @t804 @t806 @t765)) % 152.12/153.01 (define @t813 () (+ -1 0)) % 152.12/153.01 (define @t814 () (+ @t281 0)) % 152.12/153.01 (define @t815 () (+ 0 0)) % 152.12/153.01 (define @t816 () (* 0 @t662)) % 152.12/153.01 (define @t817 () (+ @t816 @t772)) % 152.12/153.01 (define @t818 () (+ @t802 @t764)) % 152.12/153.01 (define @t819 () (>= @t94 1)) % 152.12/153.01 (define @t820 () (+ @t94 @t237)) % 152.12/153.01 (define @t821 () (>= @t820 1)) % 152.12/153.01 (define @t822 () (not (forall @t102 (or @t250 (not @t821))))) % 152.12/153.01 (define @t823 () (and @t100 @t821)) % 152.12/153.01 (define @t824 () (forall @t102 (not @t823))) % 152.12/153.01 (define @t825 () (not @t824)) % 152.12/153.01 (define @t826 () (+ @t820 1)) % 152.12/153.01 (define @t827 () (>= @t97 @t94)) % 152.12/153.01 (define @t828 () (+ @t94 1)) % 152.12/153.01 (define @t829 () (>= 0 @t94)) % 152.12/153.01 (define @t830 () (+ @t97 @t763)) % 152.12/153.01 (define @t831 () (>= @t830 0)) % 152.12/153.01 (define @t832 () (+ @t237 @t662)) % 152.12/153.01 (define @t833 () (+ @t830 1)) % 152.12/153.01 (define @t834 () (+ @t662 @t237)) % 152.12/153.01 (define @t835 () (>= @t834 1)) % 152.12/153.01 (define @t836 () (not @t835)) % 152.12/153.01 (define @t837 () (or @t693 @t836)) % 152.12/153.01 (define @t838 () (forall @t102 @t837)) % 152.12/153.01 (define @t839 () (not @t838)) % 152.12/153.01 (define @t840 () (>= @t662 1)) % 152.12/153.01 (define @t841 () (not @t840)) % 152.12/153.01 (define @t842 () (or @t841 @t839)) % 152.12/153.01 (define @t843 () (forall @t95 (or (not @t819) @t822))) % 152.12/153.01 (define @t844 () (forall @t102 (or @t659 @t831))) % 152.12/153.01 (define @t845 () (not @t844)) % 152.12/153.01 (define @t846 () (or @t841 @t845)) % 152.12/153.01 (define @t847 () (@list true false)) % 152.12/153.01 (define @t848 () (@quantifiers_skolemize @t844 0)) % 152.12/153.01 (define @t849 () (tptp.size1 @t848)) % 152.12/153.01 (define @t850 () (* -1 @t849)) % 152.12/153.01 (define @t851 () (+ @t656 @t850)) % 152.12/153.01 (define @t852 () (>= @t851 0)) % 152.12/153.01 (define @t853 () (not @t852)) % 152.12/153.01 (define @t854 () (@quantifiers_skolemize @t844 1)) % 152.12/153.01 (define @t855 () (tptp.node1 @t848 @t854)) % 152.12/153.01 (define @t856 () (not (= @t855 @t658))) % 152.12/153.01 (define @t857 () (or @t856 @t853)) % 152.12/153.01 (define @t858 () (@list @t848 @t854)) % 152.12/153.01 (define @t859 () (= @t658 @t855)) % 152.12/153.01 (define @t860 () (not @t859)) % 152.12/153.01 (define @t861 () (or @t860 @t853)) % 152.12/153.01 (define @t862 () (@list @t660)) % 152.12/153.01 (define @t863 () (>= @t779 0)) % 152.12/153.01 (define @t864 () (not @t863)) % 152.12/153.01 (define @t865 () (or @t748 @t864)) % 152.12/153.01 (define @t866 () (or @t745 @t864)) % 152.12/153.01 (define @t867 () (+ -1 1)) % 152.12/153.01 (define @t868 () (>= @t779 @t867)) % 152.12/153.01 (define @t869 () (<= @t779 -1)) % 152.12/153.01 (define @t870 () (+ -1 @t282)) % 152.12/153.01 (define @t871 () (* 0 @t656)) % 152.12/153.01 (define @t872 () (= @t871 0)) % 152.12/153.01 (define @t873 () (* 0 @t740)) % 152.12/153.01 (define @t874 () (+ @t873 @t871)) % 152.12/153.01 (define @t875 () (+ @t779 @t780)) % 152.12/153.01 (define @t876 () (and @t864 @t741)) % 152.12/153.01 (define @t877 () (@quantifiers_skolemize @t689 0)) % 152.12/153.01 (define @t878 () (tptp.size1 @t877)) % 152.12/153.01 (define @t879 () (* -1 @t878)) % 152.12/153.01 (define @t880 () (+ @t656 @t879)) % 152.12/153.01 (define @t881 () (>= @t880 1)) % 152.12/153.01 (define @t882 () (not @t881)) % 152.12/153.01 (define @t883 () (@quantifiers_skolemize @t689 1)) % 152.12/153.01 (define @t884 () (tptp.node1 @t877 @t883)) % 152.12/153.01 (define @t885 () (= @t658 @t884)) % 152.12/153.01 (define @t886 () (not @t885)) % 152.12/153.01 (define @t887 () (or @t886 @t882)) % 152.12/153.01 (define @t888 () (not @t887)) % 152.12/153.01 (define @t889 () (not (= @t884 @t658))) % 152.12/153.01 (define @t890 () (or @t889 @t882)) % 152.12/153.01 (define @t891 () (not @t890)) % 152.12/153.01 (define @t892 () (@list @t887)) % 152.12/153.01 (define @t893 () (= @t877 (tptp.node_proj_11 @t884))) % 152.12/153.01 (define @t894 () (not @t893)) % 152.12/153.01 (define @t895 () (tptp.node_proj_11 @t855)) % 152.12/153.01 (define @t896 () (= @t848 @t895)) % 152.12/153.01 (define @t897 () (not @t896)) % 152.12/153.01 (define @t898 () (= @t849 @t878)) % 152.12/153.01 (define @t899 () (+ @t281 0 0)) % 152.12/153.01 (define @t900 () (* 0 @t878)) % 152.12/153.01 (define @t901 () (+ @t900 @t850 @t849 @t871)) % 152.12/153.01 (define @t902 () (+ @t849 @t879)) % 152.12/153.01 (define @t903 () (+ (* -1 @t880) @t851 @t902)) % 152.12/153.01 (define @t904 () (>= @t903 @t899)) % 152.12/153.01 (define @t905 () (and @t898 @t853 @t881)) % 152.12/153.01 (define @t906 () (+ @t662 @t850)) % 152.12/153.01 (define @t907 () (or @t860 (not (>= @t906 1)))) % 152.12/153.01 (define @t908 () (not @t907)) % 152.12/153.01 (define @t909 () (+ @t763 @t849)) % 152.12/153.01 (define @t910 () (+ @t906 1)) % 152.12/153.01 (define @t911 () (+ @t849 @t763)) % 152.12/153.01 (define @t912 () (>= @t911 0)) % 152.12/153.01 (define @t913 () (or @t856 @t912)) % 152.12/153.01 (define @t914 () (not @t913)) % 152.12/153.01 (define @t915 () (+ @t281 0 1)) % 152.12/153.01 (define @t916 () (+ @t763 @t662 @t683 @t654)) % 152.12/153.01 (define @t917 () (+ @t683 @t662 @t764)) % 152.12/153.01 (define @t918 () (>= @t917 @t915)) % 152.12/153.01 (define @t919 () (and @t804 @t841 @t655)) % 152.12/153.01 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 152.12/153.01 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 152.12/153.01 (assume @p3 (forall @t9 (=> @t8 (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 152.12/153.01 (assume @p4 (forall @t9 (=> @t10 (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 152.12/153.01 (assume @p5 (not (= tptp.true1 tptp.false1))) % 152.12/153.01 (assume @p6 (forall (@list @t11) (or (= @t11 tptp.true1) (= @t11 tptp.false1)))) % 152.12/153.01 (assume @p7 (forall (@list @t12) (= @t12 tptp.tuple03))) % 152.12/153.01 (assume @p8 (forall (@list @t15 @t14 @t13) (=> (<= @t15 @t14) (=> (<= 0 @t13) (<= (* @t15 @t13) (* @t14 @t13)))))) % 152.12/153.01 (assume @p9 (forall @t2 (tptp.sort1 @t17 @t16))) % 152.12/153.01 (assume @p10 (forall @t20 (tptp.sort1 @t17 @t19))) % 152.12/153.01 (assume @p11 (forall (@list @t1 @t21 @t18 @t4 @t3) (tptp.sort1 @t21 (tptp.match_list1 @t21 @t1 @t18 @t4 @t3)))) % 152.12/153.01 (assume @p12 (forall (@list @t1 @t21 @t6 @t7) (=> (tptp.sort1 @t21 @t6) (= (tptp.match_list1 @t21 @t1 @t16 @t6 @t7) @t6)))) % 152.12/153.01 (assume @p13 (forall (@list @t1 @t21 @t6 @t7 @t23 @t22) (=> (tptp.sort1 @t21 @t7) (= (tptp.match_list1 @t21 @t1 @t24 @t6 @t7) @t7)))) % 152.12/153.01 (assume @p14 (forall (@list @t1 @t26 @t25) (not (= @t16 (tptp.cons @t1 @t26 @t25))))) % 152.12/153.01 (assume @p15 (forall @t27 (tptp.sort1 @t1 (tptp.cons_proj_11 @t1 @t18)))) % 152.12/153.01 (assume @p16 (forall @t28 (=> (tptp.sort1 @t1 @t23) (= (tptp.cons_proj_11 @t1 @t24) @t23)))) % 152.12/153.01 (assume @p17 (forall @t27 (tptp.sort1 @t17 (tptp.cons_proj_21 @t1 @t18)))) % 152.12/153.01 (assume @p18 (forall @t28 (= (tptp.cons_proj_21 @t1 @t24) @t22))) % 152.12/153.01 (assume @p19 (forall @t29 (or (= @t23 @t16) (= @t23 (tptp.cons @t1 (tptp.cons_proj_11 @t1 @t23) (tptp.cons_proj_21 @t1 @t23)))))) % 152.12/153.01 (assume @p20 (forall @t27 (=> @t30 (and (not (tptp.mem @t1 @t18 @t16)) (forall (@list @t4 @t3) (=> (tptp.sort1 @t1 @t4) (= (tptp.mem @t1 @t18 (tptp.cons @t1 @t4 @t3)) (or (= @t18 @t4) (tptp.mem @t1 @t18 @t3))))))))) % 152.12/153.01 (assume @p21 (forall @t20 (tptp.sort1 @t17 (tptp.infix_plpl @t1 @t18 @t4)))) % 152.12/153.01 (assume @p22 (forall (@list @t1 @t31) (and (= (tptp.infix_plpl @t1 @t16 @t31) @t31) (forall @t32 (= (tptp.infix_plpl @t1 @t19 @t31) (tptp.cons @t1 @t18 (tptp.infix_plpl @t1 @t4 @t31))))))) % 152.12/153.01 (assume @p23 (forall (@list @t1 @t34 @t31 @t33) (= (tptp.infix_plpl @t1 @t34 (tptp.infix_plpl @t1 @t31 @t33)) (tptp.infix_plpl @t1 @t35 @t33)))) % 152.12/153.01 (assume @p24 (forall @t37 (= (tptp.infix_plpl @t1 @t36 @t16) @t36))) % 152.12/153.01 (assume @p25 (forall @t2 (and (= (tptp.length2 @t1 @t16) 0) (forall @t32 (= (tptp.length2 @t1 @t19) (+ 1 (tptp.length2 @t1 @t4))))))) % 152.12/153.01 (assume @p26 (forall @t37 (<= 0 @t38))) % 152.12/153.01 (assume @p27 (forall @t37 (= (= @t38 0) (= @t36 @t16)))) % 152.12/153.01 (assume @p28 (forall @t39 (= (tptp.length2 @t1 @t35) (+ (tptp.length2 @t1 @t34) (tptp.length2 @t1 @t31))))) % 152.12/153.01 (assume @p29 (forall (@list @t1 @t18 @t34 @t31) (= (tptp.mem @t1 @t18 @t35) (or @t41 @t40)))) % 152.12/153.01 (assume @p30 (forall @t43 (=> @t42 (exists (@list @t34 @t31) (and (tptp.sort1 @t17 @t34) (tptp.sort1 @t17 @t31) (= @t36 (tptp.infix_plpl @t1 @t34 (tptp.cons @t1 @t18 @t31)))))))) % 152.12/153.01 (assume @p31 (forall @t2 (tptp.distinct @t1 @t16))) % 152.12/153.01 (assume @p32 (forall @t27 (tptp.distinct @t1 @t44))) % 152.12/153.01 (assume @p33 (forall @t43 (=> @t47 (=> @t46 (tptp.distinct @t1 @t45))))) % 152.12/153.01 (assume @p34 (forall (@list @t1 @t6) (=> (tptp.distinct @t1 @t6) (or (= @t6 @t16) (exists @t48 (and @t30 (= @t6 @t44))) (exists (@list @t18 @t36) (and @t30 (tptp.sort1 @t17 @t36) @t47 @t46 (= @t6 @t45))))))) % 152.12/153.01 (assume @p35 (forall @t39 (=> (tptp.distinct @t1 @t34) (=> (tptp.distinct @t1 @t31) (=> (forall @t48 (=> @t30 (=> @t41 (not @t40)))) (tptp.distinct @t1 @t35)))))) % 152.12/153.01 (assume @p36 (forall (@list @t1 @t49 @t18 @t4) (tptp.sort1 @t49 (tptp.get @t49 @t1 @t18 @t4)))) % 152.12/153.01 (assume @p37 (forall (@list @t1 @t49 @t18 @t4 @t3) (tptp.sort1 @t50 (tptp.set @t49 @t1 @t18 @t4 @t3)))) % 152.12/153.01 (assume @p38 @t61) % 152.12/153.01 (assume @p39 (forall (@list @t1 @t49 @t54 @t53 @t52) (=> (tptp.sort1 @t1 @t53) (=> (tptp.sort1 @t1 @t52) (forall (@list @t51) (=> @t62 (= @t55 (tptp.get @t49 @t1 @t54 @t52)))))))) % 152.12/153.01 (assume @p40 (forall (@list @t1 @t49 @t18) (tptp.sort1 @t50 (tptp.const @t49 @t1 @t18)))) % 152.12/153.01 (assume @p41 (forall (@list @t1 @t49 @t51 @t53) (=> @t58 (= (tptp.get @t49 @t1 (tptp.const @t49 @t1 @t51) @t53) @t51)))) % 152.12/153.01 (assume @p42 (forall @t64 (tptp.sort1 @t63 (tptp.mk_array1 @t1 @t15 @t4)))) % 152.12/153.01 (assume @p43 (forall @t67 (= (tptp.length3 @t1 @t66) @t65))) % 152.12/153.01 (assume @p44 (forall @t27 (tptp.sort1 @t68 (tptp.elts @t1 @t18)))) % 152.12/153.01 (assume @p45 (forall @t67 (=> (tptp.sort1 @t68 @t22) (= (tptp.elts @t1 @t66) @t22)))) % 152.12/153.01 (assume @p46 (forall @t29 (= @t23 (tptp.mk_array1 @t1 (tptp.length3 @t1 @t23) (tptp.elts @t1 @t23))))) % 152.12/153.01 (assume @p47 (forall (@list @t1 @t18 @t69) (tptp.sort1 @t1 (tptp.get2 @t1 @t18 @t69)))) % 152.12/153.01 (assume @p48 (forall (@list @t15) (tptp.sort1 tptp.int (tptp.t2tb @t15)))) % 152.12/153.01 (assume @p49 (forall (@list @t70) (= (tptp.tb2t @t71) @t70))) % 152.12/153.01 (assume @p50 (forall @t73 (= (tptp.t2tb (tptp.tb2t @t72)) @t72))) % 152.12/153.01 (assume @p51 (forall (@list @t1 @t53 @t70) (= (tptp.get2 @t1 @t53 @t70) (tptp.get @t1 tptp.int @t74 @t71)))) % 152.12/153.01 (assume @p52 (forall (@list @t1 @t18 @t69 @t3) (tptp.sort1 @t63 (tptp.set2 @t1 @t18 @t69 @t3)))) % 152.12/153.01 (assume @p53 (forall (@list @t1 @t53 @t70 @t26) (= (tptp.set2 @t1 @t53 @t70 @t26) (tptp.mk_array1 @t1 (tptp.length3 @t1 @t53) (tptp.set @t1 tptp.int @t74 @t71 @t26))))) % 152.12/153.01 (assume @p54 (forall @t64 (tptp.sort1 @t63 (tptp.make1 @t1 @t15 @t4)))) % 152.12/153.01 (assume @p55 (forall (@list @t1 @t75 @t26) (= (tptp.make1 @t1 @t75 @t26) (tptp.mk_array1 @t1 @t75 (tptp.const @t1 tptp.int @t26))))) % 152.12/153.01 (assume @p56 (forall (@list @t1 @t76 @t4 @t3) (tptp.sort1 @t1 (tptp.match_tree1 @t1 @t76 @t4 @t3)))) % 152.12/153.01 (assume @p57 (forall @t9 (=> @t8 (= (tptp.match_tree1 @t1 tptp.empty1 @t6 @t7) @t6)))) % 152.12/153.01 (assume @p58 (forall (@list @t1 @t6 @t7 @t78 @t77) (=> @t10 (= (tptp.match_tree1 @t1 @t79 @t6 @t7) @t7)))) % 152.12/153.01 (assume @p59 (forall (@list @t81 @t80) (not (= tptp.empty1 (tptp.node1 @t81 @t80))))) % 152.12/153.01 (assume @p60 @t84) % 152.12/153.01 (assume @p61 (forall @t83 (= (tptp.node_proj_21 @t79) @t77))) % 152.12/153.01 (assume @p62 (forall (@list @t78) (or (= @t78 tptp.empty1) (= @t78 (tptp.node1 (tptp.node_proj_11 @t78) (tptp.node_proj_21 @t78)))))) % 152.12/153.01 (assume @p63 (and (= (tptp.size1 tptp.empty1) 0) @t92)) % 152.12/153.01 (assume @p64 (forall @t95 (<= 0 @t94))) % 152.12/153.01 (assume @p65 @t105) % 152.12/153.01 (assume @p66 (forall (@list @t106) (tptp.sort1 @t107 (tptp.t2tb1 @t106)))) % 152.12/153.01 (assume @p67 (forall (@list @t108) (= (tptp.tb2t1 (tptp.t2tb1 @t108)) @t108))) % 152.12/153.01 (assume @p68 (forall @t73 (= (tptp.t2tb1 (tptp.tb2t1 @t72)) @t72))) % 152.12/153.01 (assume @p69 (forall (@list @t76) (tptp.sort1 tptp.tree (tptp.t2tb2 @t76)))) % 152.12/153.01 (assume @p70 (forall (@list @t109) (= (tptp.tb2t2 (tptp.t2tb2 @t109)) @t109))) % 152.12/153.01 (assume @p71 (forall @t73 (= (tptp.t2tb2 (tptp.tb2t2 @t72)) @t72))) % 152.12/153.01 (assume @p72 (forall (@list @t75 @t110) (= (tptp.all_trees1 @t75 @t110) (and (tptp.distinct tptp.tree @t111) (forall @t95 (= (= @t94 @t75) (tptp.mem tptp.tree @t112 @t111))))))) % 152.12/153.01 (assume @p73 (tptp.all_trees1 0 (tptp.tb2t1 @t114))) % 152.12/153.01 (assume @p74 (forall (@list @t118 @t116) (=> (not (= (tptp.size1 @t118) (tptp.size1 @t116))) (forall (@list @t117 @t115) (not (= (tptp.node1 @t118 @t117) (tptp.node1 @t116 @t115))))))) % 152.12/153.01 (assume @p75 (forall (@list @t119) (tptp.sort1 (tptp.map tptp.int @t107) (tptp.t2tb3 @t119)))) % 152.12/153.01 (assume @p76 (forall (@list @t120) (= (tptp.tb2t3 (tptp.t2tb3 @t120)) @t120))) % 152.12/153.01 (assume @p77 @t122) % 152.12/153.01 (assume @p78 @t236) % 152.12/153.01 (assume @p79 true) % 152.12/153.01 (step @p80 :rule aci_norm :args ((= (or false @t273) @t273))) % 152.12/153.01 (step @p81 :rule refl :args (@t273)) % 152.12/153.01 (assume-push @p1733 (forall @t234 (=> (and (>= @t75 @t282) (>= @t75 @t281) (>= @t75 @t280) @t279 @t277 @t275) false))) % 152.12/153.01 (step @p83 :rule instantiate :premises (@p1733) :args ((@list @t287))) % 152.12/153.01 (step @p84 :rule arith_poly_norm :args ((= (* -1 (- @t291 @t289)) (* -1 (- @t287 @t274))))) % 152.12/153.01 (step @p85 :rule arith_poly_norm_rel :premises (@p84) :args ((= (>= @t291 @t289) (>= @t287 @t274)))) % 152.12/153.01 (step @p86 :rule arith-elim-leq :args (@t289 @t291)) % 152.12/153.01 (step @p87 :rule trans :premises (@p86 @p85)) % 152.12/153.01 (step @p88 :rule arith_poly_norm :args ((= (* -1 (- @t290 @t288)) (* -1 (- @t283 @t274))))) % 152.12/153.01 (step @p89 :rule arith_poly_norm_rel :premises (@p88) :args ((= (>= @t290 @t288) (>= @t283 @t274)))) % 152.12/153.01 (step @p90 :rule arith-elim-leq :args (@t288 @t290)) % 152.12/153.01 (step @p91 :rule trans :premises (@p90 @p89)) % 152.12/153.01 (step @p92 :rule symm :premises (@p91)) % 152.12/153.01 (step @p93 :rule arith-max-geq2 :args (@t276 @t274)) % 152.12/153.01 (step @p94 :rule true_elim :premises (@p93)) % 152.12/153.01 (step @p95 :rule eq_resolve :premises (@p94 @p92)) % 152.12/153.01 (step @p96 :rule arith-elim-leq :args (@t283 @t287)) % 152.12/153.01 (step @p97 :rule symm :premises (@p96)) % 152.12/153.01 (step @p98 :rule arith_poly_norm :args ((= (* -1 (- @t294 @t293)) (* -1 (- @t287 @t283))))) % 152.12/153.01 (step @p99 :rule arith_poly_norm_rel :premises (@p98) :args ((= (>= @t294 @t293) (>= @t287 @t283)))) % 152.12/153.01 (step @p100 :rule arith-elim-leq :args (@t293 @t294)) % 152.12/153.01 (step @p101 :rule trans :premises (@p100 @p99)) % 152.12/153.01 (step @p102 :rule arith_poly_norm :args ((= (* -1 (- @t288 @t292)) (* -1 (- @t284 @t283))))) % 152.12/153.01 (step @p103 :rule arith_poly_norm_rel :premises (@p102) :args ((= (>= @t288 @t292) (>= @t284 @t283)))) % 152.12/153.01 (step @p104 :rule arith-elim-leq :args (@t292 @t288)) % 152.12/153.01 (step @p105 :rule trans :premises (@p104 @p103)) % 152.12/153.01 (step @p106 :rule symm :premises (@p105)) % 152.12/153.01 (step @p107 :rule arith-max-geq2 :args (@t278 @t283)) % 152.12/153.01 (step @p108 :rule true_elim :premises (@p107)) % 152.12/153.01 (step @p109 :rule eq_resolve :premises (@p108 @p106)) % 152.12/153.01 (step @p110 :rule arith-elim-leq :args (@t284 @t287)) % 152.12/153.01 (step @p111 :rule symm :premises (@p110)) % 152.12/153.01 (step @p112 :rule arith_poly_norm :args ((= (* -1 (- @t297 @t296)) (* -1 (- @t287 @t284))))) % 152.12/153.01 (step @p113 :rule arith_poly_norm_rel :premises (@p112) :args ((= (>= @t297 @t296) (>= @t287 @t284)))) % 152.12/153.01 (step @p114 :rule arith-elim-leq :args (@t296 @t297)) % 152.12/153.01 (step @p115 :rule trans :premises (@p114 @p113)) % 152.12/153.01 (step @p116 :rule arith_poly_norm :args ((= (* -1 (- @t292 @t295)) (* -1 (- @t285 @t284))))) % 152.12/153.01 (step @p117 :rule arith_poly_norm_rel :premises (@p116) :args ((= (>= @t292 @t295) (>= @t285 @t284)))) % 152.12/153.01 (step @p118 :rule arith-elim-leq :args (@t295 @t292)) % 152.12/153.01 (step @p119 :rule trans :premises (@p118 @p117)) % 152.12/153.01 (step @p120 :rule symm :premises (@p119)) % 152.12/153.01 (step @p121 :rule arith-max-geq2 :args (@t280 @t284)) % 152.12/153.01 (step @p122 :rule true_elim :premises (@p121)) % 152.12/153.01 (step @p123 :rule eq_resolve :premises (@p122 @p120)) % 152.12/153.01 (step @p124 :rule arith-elim-leq :args (@t285 @t287)) % 152.12/153.01 (step @p125 :rule symm :premises (@p124)) % 152.12/153.01 (step @p126 :rule arith_poly_norm :args ((= (* -1 (- @t300 @t299)) (* -1 (- @t287 @t285))))) % 152.12/153.01 (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args ((= (>= @t300 @t299) (>= @t287 @t285)))) % 152.12/153.01 (step @p128 :rule arith-elim-leq :args (@t299 @t300)) % 152.12/153.01 (step @p129 :rule trans :premises (@p128 @p127)) % 152.12/153.01 (step @p130 :rule arith_poly_norm :args ((= (* -1 (- @t295 @t298)) (* -1 (- @t286 @t285))))) % 152.12/153.01 (step @p131 :rule arith_poly_norm_rel :premises (@p130) :args ((= (>= @t295 @t298) (>= @t286 @t285)))) % 152.12/153.01 (step @p132 :rule arith-elim-leq :args (@t298 @t295)) % 152.12/153.01 (step @p133 :rule trans :premises (@p132 @p131)) % 152.12/153.01 (step @p134 :rule symm :premises (@p133)) % 152.12/153.01 (step @p135 :rule arith-max-geq2 :args (@t281 @t285)) % 152.12/153.01 (step @p136 :rule true_elim :premises (@p135)) % 152.12/153.01 (step @p137 :rule eq_resolve :premises (@p136 @p134)) % 152.12/153.01 (step @p138 :rule arith-elim-leq :args (@t286 @t287)) % 152.12/153.01 (step @p139 :rule symm :premises (@p138)) % 152.12/153.01 (step @p140 :rule arith-max-geq2 :args (@t282 @t286)) % 152.12/153.01 (step @p141 :rule true_elim :premises (@p140)) % 152.12/153.01 (step @p142 :rule eq_resolve :premises (@p141 @p139)) % 152.12/153.01 (step @p143 :rule arith_sum_ub :premises (@p142 @p137)) % 152.12/153.01 (step @p144 :rule eq_resolve :premises (@p143 @p129)) % 152.12/153.01 (step @p145 :rule eq_resolve :premises (@p144 @p125)) % 152.12/153.01 (step @p146 :rule arith_sum_ub :premises (@p145 @p123)) % 152.12/153.01 (step @p147 :rule eq_resolve :premises (@p146 @p115)) % 152.12/153.01 (step @p148 :rule eq_resolve :premises (@p147 @p111)) % 152.12/153.01 (step @p149 :rule arith_sum_ub :premises (@p148 @p109)) % 152.12/153.01 (step @p150 :rule eq_resolve :premises (@p149 @p101)) % 152.12/153.01 (step @p151 :rule eq_resolve :premises (@p150 @p97)) % 152.12/153.01 (step @p152 :rule arith_sum_ub :premises (@p151 @p95)) % 152.12/153.01 (step @p153 :rule eq_resolve :premises (@p152 @p87)) % 152.12/153.01 (step @p154 :rule arith_poly_norm :args ((= (* 1 (- @t302 @t289)) (* 1 (- @t287 @t276))))) % 152.12/153.01 (step @p155 :rule arith_poly_norm_rel :premises (@p154) :args ((= (>= @t302 @t289) (>= @t287 @t276)))) % 152.12/153.01 (step @p156 :rule arith-elim-leq :args (@t289 @t302)) % 152.12/153.01 (step @p157 :rule trans :premises (@p156 @p155)) % 152.12/153.01 (step @p158 :rule arith_poly_norm :args ((= (* 1 (- @t301 @t288)) (* 1 (- @t283 @t276))))) % 152.12/153.01 (step @p159 :rule arith_poly_norm_rel :premises (@p158) :args ((= (>= @t301 @t288) (>= @t283 @t276)))) % 152.12/153.01 (step @p160 :rule arith-elim-leq :args (@t288 @t301)) % 152.12/153.01 (step @p161 :rule trans :premises (@p160 @p159)) % 152.12/153.01 (step @p162 :rule symm :premises (@p161)) % 152.12/153.01 (step @p163 :rule arith-max-geq1 :args (@t276 @t274)) % 152.12/153.01 (step @p164 :rule true_elim :premises (@p163)) % 152.12/153.01 (step @p165 :rule eq_resolve :premises (@p164 @p162)) % 152.12/153.01 (step @p166 :rule arith_sum_ub :premises (@p151 @p165)) % 152.12/153.01 (step @p167 :rule eq_resolve :premises (@p166 @p157)) % 152.12/153.01 (step @p168 :rule arith_poly_norm :args ((= (* -1 (- @t304 @t293)) (* -1 (- @t287 @t278))))) % 152.12/153.01 (step @p169 :rule arith_poly_norm_rel :premises (@p168) :args ((= (>= @t304 @t293) (>= @t287 @t278)))) % 152.12/153.01 (step @p170 :rule arith-elim-leq :args (@t293 @t304)) % 152.12/153.01 (step @p171 :rule trans :premises (@p170 @p169)) % 152.12/153.01 (step @p172 :rule arith_poly_norm :args ((= (* -1 (- @t303 @t292)) (* -1 (- @t284 @t278))))) % 152.12/153.01 (step @p173 :rule arith_poly_norm_rel :premises (@p172) :args ((= (>= @t303 @t292) (>= @t284 @t278)))) % 152.12/153.01 (step @p174 :rule arith-elim-leq :args (@t292 @t303)) % 152.12/153.01 (step @p175 :rule trans :premises (@p174 @p173)) % 152.12/153.01 (step @p176 :rule symm :premises (@p175)) % 152.12/153.01 (step @p177 :rule arith-max-geq1 :args (@t278 @t283)) % 152.12/153.01 (step @p178 :rule true_elim :premises (@p177)) % 152.12/153.01 (step @p179 :rule eq_resolve :premises (@p178 @p176)) % 152.12/153.01 (step @p180 :rule arith_sum_ub :premises (@p148 @p179)) % 152.12/153.01 (step @p181 :rule eq_resolve :premises (@p180 @p171)) % 152.12/153.01 (step @p182 :rule arith_poly_norm :args ((= (* -1 (- @t306 @t296)) (* -1 (- @t287 @t280))))) % 152.12/153.01 (step @p183 :rule arith_poly_norm_rel :premises (@p182) :args ((= (>= @t306 @t296) (>= @t287 @t280)))) % 152.12/153.01 (step @p184 :rule arith-elim-leq :args (@t296 @t306)) % 152.12/153.01 (step @p185 :rule trans :premises (@p184 @p183)) % 152.12/153.01 (step @p186 :rule arith_poly_norm :args ((= (* -1 (- @t305 @t295)) (* -1 (- @t285 @t280))))) % 152.12/153.01 (step @p187 :rule arith_poly_norm_rel :premises (@p186) :args ((= (>= @t305 @t295) (>= @t285 @t280)))) % 152.12/153.01 (step @p188 :rule arith-elim-leq :args (@t295 @t305)) % 152.12/153.01 (step @p189 :rule trans :premises (@p188 @p187)) % 152.12/153.01 (step @p190 :rule symm :premises (@p189)) % 152.12/153.01 (step @p191 :rule arith-max-geq1 :args (@t280 @t284)) % 152.12/153.01 (step @p192 :rule true_elim :premises (@p191)) % 152.12/153.01 (step @p193 :rule eq_resolve :premises (@p192 @p190)) % 152.12/153.01 (step @p194 :rule arith_sum_ub :premises (@p145 @p193)) % 152.12/153.01 (step @p195 :rule eq_resolve :premises (@p194 @p185)) % 152.12/153.01 (step @p196 :rule arith_poly_norm :args ((= (* 1 (- @t308 @t299)) (* 1 (- @t287 @t281))))) % 152.12/153.01 (step @p197 :rule arith_poly_norm_rel :premises (@p196) :args ((= (>= @t308 @t299) (>= @t287 @t281)))) % 152.12/153.01 (step @p198 :rule arith-elim-leq :args (@t299 @t308)) % 152.12/153.01 (step @p199 :rule trans :premises (@p198 @p197)) % 152.12/153.01 (step @p200 :rule arith_poly_norm :args ((= (* 1 (- @t307 @t298)) (* 1 (- @t286 @t281))))) % 152.12/153.01 (step @p201 :rule arith_poly_norm_rel :premises (@p200) :args ((= (>= @t307 @t298) (>= @t286 @t281)))) % 152.12/153.01 (step @p202 :rule arith-elim-leq :args (@t298 @t307)) % 152.12/153.01 (step @p203 :rule trans :premises (@p202 @p201)) % 152.12/153.01 (step @p204 :rule symm :premises (@p203)) % 152.12/153.01 (step @p205 :rule arith-max-geq1 :args (@t281 @t285)) % 152.12/153.01 (step @p206 :rule true_elim :premises (@p205)) % 152.12/153.01 (step @p207 :rule eq_resolve :premises (@p206 @p204)) % 152.12/153.01 (step @p208 :rule arith_sum_ub :premises (@p142 @p207)) % 152.12/153.01 (step @p209 :rule eq_resolve :premises (@p208 @p199)) % 152.12/153.01 (step @p210 :rule arith-max-geq1 :args (@t282 @t286)) % 152.12/153.01 (step @p211 :rule true_elim :premises (@p210)) % 152.12/153.01 (step @p212 :rule and_intro :premises (@p211 @p209 @p195 @p181 @p167 @p153)) % 152.12/153.01 (step @p213 false :rule modus_ponens :premises (@p212 @p83)) % 152.12/153.01 (step-pop @p1734 :rule scope :premises (@p213)) % 152.12/153.01 (step @p214 :rule process_scope :premises (@p1734) :args (false)) % 152.12/153.01 (step @p216 :rule false_intro :premises (@p214)) % 152.12/153.01 (step @p217 :rule refl :args (false)) % 152.12/153.01 (step @p218 :rule arith_poly_norm :args ((= (* 1 (- @t309 0)) (* 1 (- @t75 @t274))))) % 152.12/153.01 (step @p219 :rule arith_poly_norm_rel :premises (@p218) :args ((= @t310 @t275))) % 152.12/153.01 (step @p220 :rule arith_poly_norm :args ((= (* 1 (- @t311 -1)) (* 1 (- @t75 @t276))))) % 152.12/153.01 (step @p221 :rule arith_poly_norm_rel :premises (@p220) :args ((= @t312 @t277))) % 152.12/153.01 (step @p222 :rule arith_poly_norm :args ((= (* 1 (- @t313 0)) (* 1 (- @t75 @t278))))) % 152.12/153.01 (step @p223 :rule arith_poly_norm_rel :premises (@p222) :args ((= @t314 @t279))) % 152.12/153.01 (step @p224 :rule evaluate :args (@t280)) % 152.12/153.01 (step @p225 :rule symm :premises (@p224)) % 152.12/153.01 (step @p226 :rule refl :args (@t75)) % 152.12/153.01 (step @p227 :rule cong :premises (@p226 @p225) :args (@t315)) % 152.12/153.01 (step @p228 :rule evaluate :args (@t281)) % 152.12/153.01 (step @p229 :rule symm :premises (@p228)) % 152.12/153.01 (step @p230 :rule cong :premises (@p226 @p229) :args (@t316)) % 152.12/153.01 (step @p231 :rule evaluate :args (@t282)) % 152.12/153.01 (step @p232 :rule symm :premises (@p231)) % 152.12/153.01 (step @p233 :rule cong :premises (@p226 @p232) :args (@t317)) % 152.12/153.01 (step @p234 :rule nary_cong :premises (@p233 @p230 @p227 @p223 @p221 @p219) :args ((and @t317 @t316 @t315 @t314 @t312 @t310))) % 152.12/153.01 (step @p235 :rule bool-double-not-elim :args (@t310)) % 152.12/153.01 (step @p236 :rule bool-double-not-elim :args (@t312)) % 152.12/153.01 (step @p237 :rule bool-double-not-elim :args (@t314)) % 152.12/153.01 (step @p238 :rule bool-double-not-elim :args (@t315)) % 152.12/153.01 (step @p239 :rule bool-double-not-elim :args (@t316)) % 152.12/153.01 (step @p240 :rule bool-double-not-elim :args (@t317)) % 152.12/153.01 (step @p241 :rule nary_cong :premises (@p240 @p239 @p238 @p237 @p236 @p235) :args (@t330)) % 152.12/153.01 (step @p242 :rule aci_norm :args ((= (and @t329 (and @t327 (and @t325 (and @t323 (and @t321 @t319))))) @t330))) % 152.12/153.01 (step @p243 :rule trans :premises (@p242 @p241)) % 152.12/153.01 (step @p244 :rule bool-or-de-morgan :args (@t320 @t318 false)) % 152.12/153.01 (step @p245 :rule refl :args (@t323)) % 152.12/153.01 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((and @t323 (not (or @t320 @t318))))) % 152.12/153.01 (step @p247 :rule bool-or-de-morgan :args (@t322 @t320 (or @t318))) % 152.12/153.01 (step @p248 :rule trans :premises (@p247 @p246)) % 152.12/153.01 (step @p249 :rule refl :args (@t325)) % 152.12/153.01 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((and @t325 (not (or @t322 @t320 @t318))))) % 152.12/153.01 (step @p251 :rule bool-or-de-morgan :args (@t324 @t322 (or @t320 @t318))) % 152.12/153.01 (step @p252 :rule trans :premises (@p251 @p250)) % 152.12/153.01 (step @p253 :rule refl :args (@t327)) % 152.12/153.01 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((and @t327 (not (or @t324 @t322 @t320 @t318))))) % 152.12/153.01 (step @p255 :rule bool-or-de-morgan :args (@t326 @t324 (or @t322 @t320 @t318))) % 152.12/153.01 (step @p256 :rule trans :premises (@p255 @p254)) % 152.12/153.01 (step @p257 :rule refl :args (@t329)) % 152.12/153.01 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((and @t329 (not (or @t326 @t324 @t322 @t320 @t318))))) % 152.12/153.01 (step @p259 :rule bool-or-de-morgan :args (@t328 @t326 (or @t324 @t322 @t320 @t318))) % 152.12/153.01 (step @p260 :rule trans :premises (@p259 @p258)) % 152.12/153.01 (step @p261 :rule trans :premises (@p260 @p243)) % 152.12/153.01 (step @p262 :rule trans :premises (@p261 @p234)) % 152.12/153.01 (step @p263 :rule cong :premises (@p262 @p217) :args ((=> @t332 false))) % 152.12/153.01 (step @p264 :rule bool-double-not-elim :args (@t331)) % 152.12/153.01 (step @p265 :rule bool-impl-false1 :args (@t332)) % 152.12/153.01 (step @p266 :rule trans :premises (@p265 @p264)) % 152.12/153.01 (step @p267 :rule symm :premises (@p266)) % 152.12/153.01 (step @p268 :rule trans :premises (@p267 @p263)) % 152.12/153.01 (step @p269 :rule cong :premises (@p268) :args (@t333)) % 152.12/153.01 (step @p270 :rule trans :premises (@p269 @p216)) % 152.12/153.01 (step @p271 :rule nary_cong :premises (@p270 @p81) :args (@t334)) % 152.12/153.01 (step @p272 :rule quant-miniscope-or :args ((= (forall @t234 @t335) @t334))) % 152.12/153.01 (step @p273 :rule aci_norm :args ((= @t336 @t335))) % 152.12/153.01 (step @p274 :rule cong :premises (@p273) :args (@t337)) % 152.12/153.01 (step @p275 :rule trans :premises (@p274 @p272 @p271 @p80)) % 152.12/153.01 (step @p276 :rule cong :premises (@p275) :args (@t339)) % 152.12/153.01 (step @p277 :rule quant-merge-prenex :args ((= @t339 @t340))) % 152.12/153.01 (step @p278 :rule symm :premises (@p277)) % 152.12/153.01 (step @p279 :rule quant_var_reordering :args ((= (forall @t341 @t336) @t340))) % 152.12/153.01 (step @p280 :rule trans :premises (@p279 @p278 @p276)) % 152.12/153.01 (step @p281 :rule refl :args (@t242)) % 152.12/153.01 (step @p282 :rule refl :args (@t249)) % 152.12/153.01 (step @p283 :rule refl :args (@t251)) % 152.12/153.01 (step @p284 :rule refl :args (@t252)) % 152.12/153.01 (step @p285 :rule refl :args (@t255)) % 152.12/153.01 (step @p286 :rule refl :args (@t256)) % 152.12/153.01 (step @p287 :rule refl :args (@t318)) % 152.12/153.01 (step @p288 :rule arith_poly_norm :args ((= (* -2 (- -1 @t344)) (* -2 (- @t343 2))))) % 152.12/153.01 (step @p289 :rule arith_poly_norm_rel :premises (@p288) :args ((= (>= -1 @t344) (>= @t343 2)))) % 152.12/153.01 (step @p290 :rule arith-geq-tighten :args (@t311 -1)) % 152.12/153.01 (step @p291 :rule trans :premises (@p290 @p289)) % 152.12/153.01 (step @p292 :rule symm :premises (@p291)) % 152.12/153.01 (step @p293 :rule refl :args (2)) % 152.12/153.01 (step @p294 :rule arith_poly_norm :args ((= @t345 @t343))) % 152.12/153.01 (step @p295 :rule cong :premises (@p294 @p293) :args (@t346)) % 152.12/153.01 (step @p296 :rule trans :premises (@p295 @p292)) % 152.12/153.01 (step @p297 :rule refl :args (@t257)) % 152.12/153.01 (step @p298 :rule refl :args (@t258)) % 152.12/153.01 (step @p299 :rule refl :args (@t259)) % 152.12/153.01 (step @p300 :rule refl :args (@t260)) % 152.12/153.01 (step @p301 :rule refl :args (@t261)) % 152.12/153.01 (step @p302 :rule bool-double-not-elim :args (@t264)) % 152.12/153.01 (step @p303 :rule arith_poly_norm :args ((= (* -1 (- 0 @t349)) (* -1 (- @t348 1))))) % 152.12/153.01 (step @p304 :rule arith_poly_norm_rel :premises (@p303) :args ((= (>= 0 @t349) (>= @t348 1)))) % 152.12/153.01 (step @p305 :rule arith-geq-tighten :args (@t263 0)) % 152.12/153.01 (step @p306 :rule trans :premises (@p305 @p304)) % 152.12/153.01 (step @p307 :rule symm :premises (@p306)) % 152.12/153.01 (step @p308 :rule refl :args (1)) % 152.12/153.01 (step @p309 :rule arith_poly_norm :args ((= @t350 @t348))) % 152.12/153.01 (step @p310 :rule cong :premises (@p309 @p308) :args (@t351)) % 152.12/153.01 (step @p311 :rule trans :premises (@p310 @p307)) % 152.12/153.01 (step @p312 :rule cong :premises (@p311) :args (@t352)) % 152.12/153.01 (step @p313 :rule trans :premises (@p312 @p302)) % 152.12/153.01 (step @p314 :rule refl :args (@t266)) % 152.12/153.01 (step @p315 :rule nary_cong :premises (@p314 @p313 @p301) :args (@t353)) % 152.12/153.01 (step @p316 :rule cong :premises (@p315) :args (@t354)) % 152.12/153.01 (step @p317 :rule cong :premises (@p316) :args (@t355)) % 152.12/153.01 (step @p318 :rule refl :args (@t268)) % 152.12/153.01 (step @p319 :rule refl :args (@t270)) % 152.12/153.01 (step @p320 :rule nary_cong :premises (@p314 @p313 @p319) :args (@t356)) % 152.12/153.01 (step @p321 :rule cong :premises (@p320) :args (@t357)) % 152.12/153.01 (step @p322 :rule cong :premises (@p321) :args (@t358)) % 152.12/153.01 (step @p323 :rule arith_poly_norm :args ((= (* -1 (- 0 @t360)) (* -1 (- @t359 1))))) % 152.12/153.01 (step @p324 :rule arith_poly_norm_rel :premises (@p323) :args ((= (>= 0 @t360) (>= @t359 1)))) % 152.12/153.01 (step @p325 :rule arith-geq-tighten :args (@t313 0)) % 152.12/153.01 (step @p326 :rule trans :premises (@p325 @p324)) % 152.12/153.01 (step @p327 :rule symm :premises (@p326)) % 152.12/153.01 (step @p328 :rule arith_poly_norm :args ((= @t361 @t359))) % 152.12/153.01 (step @p329 :rule cong :premises (@p328 @p308) :args (@t362)) % 152.12/153.01 (step @p330 :rule trans :premises (@p329 @p327)) % 152.12/153.01 (step @p331 :rule refl :args (@t272)) % 152.12/153.01 (step @p332 :rule refl :args (@t324)) % 152.12/153.01 (step @p333 :rule refl :args (@t326)) % 152.12/153.01 (step @p334 :rule refl :args (@t328)) % 152.12/153.01 (step @p335 :rule nary_cong :premises (@p334 @p333 @p332 @p331 @p330 @p322 @p318 @p317 @p300 @p299 @p298 @p297 @p296 @p287 @p286 @p285 @p284 @p283 @p282 @p281) :args (@t363)) % 152.12/153.01 (step @p336 :rule aci_norm :args ((= @t365 @t363))) % 152.12/153.01 (step @p337 :rule trans :premises (@p336 @p335)) % 152.12/153.01 (step @p338 :rule cong :premises (@p337) :args (@t366)) % 152.12/153.01 (step @p339 :rule trans :premises (@p338 @p280)) % 152.12/153.01 (step @p340 :rule quant-merge-prenex :args ((= (forall @t234 @t367) @t366))) % 152.12/153.01 (step @p341 :rule alpha_equiv :args (@t368 (@list @t269 @t241 @t244 @t238 @t247 @t240) (@list @t202 @t70 @t372 @t371 @t370 @t369))) % 152.12/153.01 (step @p342 :rule refl :args (@t324)) % 152.12/153.01 (step @p343 :rule refl :args (@t326)) % 152.12/153.01 (step @p344 :rule refl :args (@t328)) % 152.12/153.01 (step @p345 :rule nary_cong :premises (@p344 @p343 @p342 @p341) :args (@t373)) % 152.12/153.01 (step @p346 :rule quant-miniscope-or :args ((= @t367 @t373))) % 152.12/153.01 (step @p347 :rule trans :premises (@p346 @p345)) % 152.12/153.01 (step @p348 :rule symm :premises (@p347)) % 152.12/153.01 (step @p349 :rule cong :premises (@p348) :args ((forall @t234 @t409))) % 152.12/153.01 (step @p350 :rule trans :premises (@p349 @p340)) % 152.12/153.01 (step @p351 :rule trans :premises (@p350 @p339)) % 152.12/153.01 (step @p352 :rule aci_norm :args ((= (or @t328 @t410) @t409))) % 152.12/153.01 (step @p353 :rule aci_norm :args ((= (or @t326 @t410) @t410))) % 152.12/153.01 (step @p354 :rule aci_norm :args ((= (or @t326 @t409) @t410))) % 152.12/153.01 (step @p355 :rule aci_norm :args ((= (or @t328 @t411) @t409))) % 152.12/153.01 (step @p356 :rule bool-impl-elim :args (@t317 @t411)) % 152.12/153.01 (step @p357 :rule trans :premises (@p356 @p355)) % 152.12/153.01 (step @p358 :rule nary_cong :premises (@p343 @p357) :args ((or @t326 @t412))) % 152.12/153.01 (step @p359 :rule trans :premises (@p358 @p354)) % 152.12/153.01 (step @p360 :rule bool-impl-elim :args (@t316 @t412)) % 152.12/153.01 (step @p361 :rule trans :premises (@p360 @p359)) % 152.12/153.01 (step @p362 :rule nary_cong :premises (@p343 @p361) :args ((or @t326 @t413))) % 152.12/153.01 (step @p363 :rule trans :premises (@p362 @p353)) % 152.12/153.01 (step @p364 :rule bool-impl-elim :args (@t316 @t413)) % 152.12/153.01 (step @p365 :rule trans :premises (@p364 @p363)) % 152.12/153.01 (step @p366 :rule nary_cong :premises (@p344 @p365) :args ((or @t328 @t414))) % 152.12/153.01 (step @p367 :rule trans :premises (@p366 @p352)) % 152.12/153.01 (step @p368 :rule bool-impl-elim :args (@t317 @t414)) % 152.12/153.01 (step @p369 :rule trans :premises (@p368 @p367)) % 152.12/153.01 (step @p370 :rule cong :premises (@p369) :args ((forall @t234 (=> @t317 @t414)))) % 152.12/153.01 (step @p371 :rule trans :premises (@p370 @p351)) % 152.12/153.01 (step @p372 :rule aci_norm :args ((= (or @t326 @t324 @t408 false) @t411))) % 152.12/153.01 (step @p373 :rule evaluate :args ((not true))) % 152.12/153.01 (step @p374 :rule eq-refl :args (@t221)) % 152.12/153.01 (step @p375 :rule cong :premises (@p374) :args (@t415)) % 152.12/153.01 (step @p376 :rule trans :premises (@p375 @p373)) % 152.12/153.01 (step @p377 :rule quant-var-elim-eq :args ((= (forall @t226 @t417) @t415))) % 152.12/153.01 (step @p378 :rule aci_norm :args ((= @t416 @t417))) % 152.12/153.01 (step @p379 :rule cong :premises (@p378) :args (@t418)) % 152.12/153.01 (step @p380 :rule trans :premises (@p379 @p377)) % 152.12/153.01 (step @p381 :rule trans :premises (@p380 @p376)) % 152.12/153.01 (step @p382 :rule refl :args (@t408)) % 152.12/153.01 (step @p383 :rule nary_cong :premises (@p333 @p332 @p382 @p381) :args (@t419)) % 152.12/153.01 (step @p384 :rule trans :premises (@p383 @p372)) % 152.12/153.01 (step @p385 :rule quant-miniscope-or :args ((= (forall @t226 @t420) @t419))) % 152.12/153.01 (step @p386 :rule aci_norm :args ((= @t421 @t420))) % 152.12/153.01 (step @p387 :rule cong :premises (@p386) :args ((forall @t226 @t421))) % 152.12/153.01 (step @p388 :rule trans :premises (@p387 @p385)) % 152.12/153.01 (step @p389 :rule trans :premises (@p388 @p384)) % 152.12/153.01 (step @p390 :rule aci_norm :args ((= (or (or @t326 @t416) @t422) @t421))) % 152.12/153.01 (step @p391 :rule aci_norm :args ((= (or @t324 @t423) @t422))) % 152.12/153.01 (step @p392 :rule bool-impl-elim :args (@t315 @t423)) % 152.12/153.01 (step @p393 :rule trans :premises (@p392 @p391)) % 152.12/153.01 (step @p394 :rule bool-and-de-morgan :args (@t316 @t223 true)) % 152.12/153.01 (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((or (not @t425) @t424))) % 152.12/153.01 (step @p396 :rule trans :premises (@p395 @p390)) % 152.12/153.01 (step @p397 :rule bool-impl-elim :args (@t425 @t424)) % 152.12/153.01 (step @p398 :rule trans :premises (@p397 @p396)) % 152.12/153.01 (step @p399 :rule cong :premises (@p398) :args ((forall @t226 (=> @t425 @t424)))) % 152.12/153.01 (step @p400 :rule trans :premises (@p399 @p389)) % 152.12/153.01 (step @p401 :rule aci_norm :args ((= @t427 @t406))) % 152.12/153.01 (step @p402 :rule cong :premises (@p401) :args (@t428)) % 152.12/153.01 (step @p403 :rule quant-merge-prenex :args ((= (forall @t218 @t430) @t428))) % 152.12/153.01 (step @p404 :rule alpha_equiv :args (@t431 (@list @t372 @t371 @t370 @t369) (@list @t133 @t123 @t433 @t432))) % 152.12/153.01 (step @p405 :rule refl :args (@t398)) % 152.12/153.01 (step @p406 :rule refl :args (@t401)) % 152.12/153.01 (step @p407 :rule refl :args (@t403)) % 152.12/153.01 (step @p408 :rule refl :args (@t405)) % 152.12/153.01 (step @p409 :rule nary_cong :premises (@p408 @p407 @p406 @p405 @p404) :args (@t434)) % 152.12/153.01 (step @p410 :rule quant-miniscope-or :args ((= @t430 @t434))) % 152.12/153.01 (step @p411 :rule trans :premises (@p410 @p409)) % 152.12/153.01 (step @p412 :rule symm :premises (@p411)) % 152.12/153.01 (step @p413 :rule cong :premises (@p412) :args (@t479)) % 152.12/153.01 (step @p414 :rule trans :premises (@p413 @p403)) % 152.12/153.01 (step @p415 :rule trans :premises (@p414 @p402)) % 152.12/153.01 (step @p416 :rule nary_cong :premises (@p333 @p415) :args (@t480)) % 152.12/153.01 (step @p417 :rule quant-miniscope-or :args ((= (forall @t218 @t481) @t480))) % 152.12/153.01 (step @p418 :rule aci_norm :args ((= @t482 @t481))) % 152.12/153.01 (step @p419 :rule cong :premises (@p418) :args ((forall @t218 @t482))) % 152.12/153.01 (step @p420 :rule trans :premises (@p419 @p417)) % 152.12/153.01 (step @p421 :rule trans :premises (@p420 @p416)) % 152.12/153.01 (step @p422 :rule aci_norm :args ((= (or (or @t405 @t403) @t483) @t482))) % 152.12/153.01 (step @p423 :rule aci_norm :args ((= (or @t401 @t484) @t483))) % 152.12/153.01 (step @p424 :rule aci_norm :args ((= (or @t486 @t485) @t484))) % 152.12/153.01 (step @p425 :rule refl :args (@t485)) % 152.12/153.01 (step @p426 :rule bool-double-not-elim :args (@t403)) % 152.12/153.01 (step @p427 :rule nary_cong :premises (@p343 @p405 @p426) :args (@t489)) % 152.12/153.01 (step @p428 :rule aci_norm :args ((= (or @t326 @t490) @t489))) % 152.12/153.01 (step @p429 :rule trans :premises (@p428 @p427)) % 152.12/153.01 (step @p430 :rule bool-and-de-morgan :args (@t397 @t487 true)) % 152.12/153.01 (step @p431 :rule nary_cong :premises (@p343 @p430) :args ((or @t326 @t492))) % 152.12/153.01 (step @p432 :rule bool-and-de-morgan :args (@t316 @t397 (and @t487))) % 152.12/153.01 (step @p433 :rule trans :premises (@p432 @p431)) % 152.12/153.01 (step @p434 :rule trans :premises (@p433 @p429)) % 152.12/153.01 (step @p435 :rule nary_cong :premises (@p434 @p425) :args ((or @t494 @t485))) % 152.12/153.01 (step @p436 :rule trans :premises (@p435 @p424)) % 152.12/153.01 (step @p437 :rule bool-impl-elim :args (@t493 @t485)) % 152.12/153.01 (step @p438 :rule trans :premises (@p437 @p436)) % 152.12/153.01 (step @p439 :rule nary_cong :premises (@p406 @p438) :args ((or @t401 @t495))) % 152.12/153.01 (step @p440 :rule trans :premises (@p439 @p423)) % 152.12/153.01 (step @p441 :rule bool-impl-elim :args (@t400 @t495)) % 152.12/153.01 (step @p442 :rule trans :premises (@p441 @p440)) % 152.12/153.01 (step @p443 :rule nary_cong :premises (@p408 @p426) :args ((or @t405 @t488))) % 152.12/153.01 (step @p444 :rule bool-and-de-morgan :args (@t404 @t487 true)) % 152.12/153.01 (step @p445 :rule trans :premises (@p444 @p443)) % 152.12/153.01 (step @p446 :rule nary_cong :premises (@p445 @p442) :args ((or (not @t497) @t496))) % 152.12/153.01 (step @p447 :rule trans :premises (@p446 @p422)) % 152.12/153.01 (step @p448 :rule bool-impl-elim :args (@t497 @t496)) % 152.12/153.01 (step @p449 :rule trans :premises (@p448 @p447)) % 152.12/153.01 (step @p450 :rule cong :premises (@p449) :args ((forall @t218 (=> @t497 @t496)))) % 152.12/153.01 (step @p451 :rule trans :premises (@p450 @p421)) % 152.12/153.01 (step @p452 :rule aci_norm :args ((= (or @t326 @t405 @t398 @t403 @t477 false) @t485))) % 152.12/153.01 (step @p453 :rule eq-refl :args (@t204)) % 152.12/153.01 (step @p454 :rule cong :premises (@p453) :args (@t498)) % 152.12/153.01 (step @p455 :rule trans :premises (@p454 @p373)) % 152.12/153.01 (step @p456 :rule quant-var-elim-eq :args ((= (forall @t209 @t500) @t498))) % 152.12/153.01 (step @p457 :rule aci_norm :args ((= @t499 @t500))) % 152.12/153.01 (step @p458 :rule cong :premises (@p457) :args (@t501)) % 152.12/153.01 (step @p459 :rule trans :premises (@p458 @p456)) % 152.12/153.01 (step @p460 :rule trans :premises (@p459 @p455)) % 152.12/153.01 (step @p461 :rule refl :args (@t477)) % 152.12/153.01 (step @p462 :rule refl :args (@t403)) % 152.12/153.01 (step @p463 :rule refl :args (@t398)) % 152.12/153.01 (step @p464 :rule refl :args (@t405)) % 152.12/153.01 (step @p465 :rule nary_cong :premises (@p333 @p464 @p463 @p462 @p461 @p460) :args (@t502)) % 152.12/153.01 (step @p466 :rule trans :premises (@p465 @p452)) % 152.12/153.01 (step @p467 :rule quant-miniscope-or :args ((= (forall @t209 @t503) @t502))) % 152.12/153.01 (step @p468 :rule aci_norm :args ((= @t504 @t503))) % 152.12/153.01 (step @p469 :rule cong :premises (@p468) :args ((forall @t209 @t504))) % 152.12/153.01 (step @p470 :rule trans :premises (@p469 @p467)) % 152.12/153.01 (step @p471 :rule trans :premises (@p470 @p466)) % 152.12/153.01 (step @p472 :rule aci_norm :args ((= (or (or @t326 @t499) @t505) @t504))) % 152.12/153.01 (step @p473 :rule aci_norm :args ((= (or @t405 @t506) @t505))) % 152.12/153.01 (step @p474 :rule bool-impl-elim :args (@t404 @t506)) % 152.12/153.01 (step @p475 :rule trans :premises (@p474 @p473)) % 152.12/153.01 (step @p476 :rule bool-and-de-morgan :args (@t316 @t206 true)) % 152.12/153.01 (step @p477 :rule nary_cong :premises (@p476 @p475) :args ((or (not @t508) @t507))) % 152.12/153.01 (step @p478 :rule trans :premises (@p477 @p472)) % 152.12/153.01 (step @p479 :rule bool-impl-elim :args (@t508 @t507)) % 152.12/153.01 (step @p480 :rule trans :premises (@p479 @p478)) % 152.12/153.01 (step @p481 :rule cong :premises (@p480) :args ((forall @t209 (=> @t508 @t507)))) % 152.12/153.01 (step @p482 :rule trans :premises (@p481 @p471)) % 152.12/153.01 (step @p483 :rule refl :args (@t438)) % 152.12/153.01 (step @p484 :rule refl :args (@t440)) % 152.12/153.01 (step @p485 :rule eq-symm :args (@t441 @t448)) % 152.12/153.01 (step @p486 :rule cong :premises (@p485) :args (@t509)) % 152.12/153.01 (step @p487 :rule cong :premises (@p486) :args (@t510)) % 152.12/153.01 (step @p488 :rule refl :args (@t449)) % 152.12/153.01 (step @p489 :rule refl :args (@t453)) % 152.12/153.01 (step @p490 :rule refl :args (@t454)) % 152.12/153.01 (step @p491 :rule refl :args (@t457)) % 152.12/153.01 (step @p492 :rule refl :args (@t459)) % 152.12/153.01 (step @p493 :rule refl :args (@t466)) % 152.12/153.01 (step @p494 :rule refl :args (@t469)) % 152.12/153.01 (step @p495 :rule refl :args (@t471)) % 152.12/153.01 (step @p496 :rule refl :args (@t472)) % 152.12/153.01 (step @p497 :rule refl :args (@t475)) % 152.12/153.01 (step @p498 :rule nary_cong :premises (@p497 @p496 @p495 @p494 @p493 @p492 @p491 @p490 @p489 @p488 @p487 @p484 @p483) :args (@t511)) % 152.12/153.01 (step @p499 :rule aci_norm :args ((= @t513 @t511))) % 152.12/153.01 (step @p500 :rule trans :premises (@p499 @p498)) % 152.12/153.01 (step @p501 :rule cong :premises (@p500) :args (@t514)) % 152.12/153.01 (step @p502 :rule quant-merge-prenex :args ((= (forall @t198 @t516) @t514))) % 152.12/153.01 (step @p503 :rule alpha_equiv :args (@t517 (@list @t433 @t432) (@list @t136 @t518))) % 152.12/153.01 (step @p504 :rule refl :args (@t453)) % 152.12/153.01 (step @p505 :rule refl :args (@t454)) % 152.12/153.01 (step @p506 :rule refl :args (@t457)) % 152.12/153.01 (step @p507 :rule refl :args (@t459)) % 152.12/153.01 (step @p508 :rule refl :args (@t466)) % 152.12/153.01 (step @p509 :rule refl :args (@t469)) % 152.12/153.01 (step @p510 :rule refl :args (@t471)) % 152.12/153.01 (step @p511 :rule refl :args (@t472)) % 152.12/153.01 (step @p512 :rule refl :args (@t475)) % 152.12/153.01 (step @p513 :rule nary_cong :premises (@p512 @p511 @p510 @p509 @p508 @p507 @p506 @p505 @p504 @p503) :args (@t519)) % 152.12/153.01 (step @p514 :rule quant-miniscope-or :args ((= @t516 @t519))) % 152.12/153.01 (step @p515 :rule trans :premises (@p514 @p513)) % 152.12/153.01 (step @p516 :rule symm :premises (@p515)) % 152.12/153.01 (step @p517 :rule cong :premises (@p516) :args (@t530)) % 152.12/153.01 (step @p518 :rule trans :premises (@p517 @p502)) % 152.12/153.01 (step @p519 :rule trans :premises (@p518 @p501)) % 152.12/153.01 (step @p520 :rule nary_cong :premises (@p333 @p463 @p462 @p519) :args (@t531)) % 152.12/153.01 (step @p521 :rule quant-miniscope-or :args ((= (forall @t198 @t532) @t531))) % 152.12/153.01 (step @p522 :rule aci_norm :args ((= @t533 @t532))) % 152.12/153.01 (step @p523 :rule cong :premises (@p522) :args ((forall @t198 @t533))) % 152.12/153.01 (step @p524 :rule trans :premises (@p523 @p521)) % 152.12/153.01 (step @p525 :rule trans :premises (@p524 @p520)) % 152.12/153.01 (step @p526 :rule aci_norm :args ((= (or (or @t471 @t469) @t534) @t533))) % 152.12/153.01 (step @p527 :rule aci_norm :args ((= (or @t536 @t535) @t534))) % 152.12/153.01 (step @p528 :rule aci_norm :args ((= (or @t486 @t537) @t535))) % 152.12/153.01 (step @p529 :rule aci_norm :args ((= (or (or @t469 @t459) @t538) @t537))) % 152.12/153.01 (step @p530 :rule aci_norm :args ((= (or (or @t471 @t457) @t539) @t538))) % 152.12/153.01 (step @p531 :rule aci_norm :args ((= (or @t541 @t540) @t539))) % 152.12/153.01 (step @p532 :rule refl :args (@t540)) % 152.12/153.01 (step @p533 :rule aci_norm :args ((= (or @t471 (or @t454 (or @t469 @t453))) @t541))) % 152.12/153.01 (step @p534 :rule bool-and-de-morgan :args (@t468 @t452 true)) % 152.12/153.01 (step @p535 :rule nary_cong :premises (@p505 @p534) :args ((or @t454 (not (and @t468 @t452))))) % 152.12/153.01 (step @p536 :rule bool-and-de-morgan :args (@t170 @t468 (and @t452))) % 152.12/153.01 (step @p537 :rule trans :premises (@p536 @p535)) % 152.12/153.01 (step @p538 :rule nary_cong :premises (@p510 @p537) :args ((or @t471 (not (and @t170 @t468 @t452))))) % 152.12/153.01 (step @p539 :rule bool-and-de-morgan :args (@t470 @t170 (and @t468 @t452))) % 152.12/153.01 (step @p540 :rule trans :premises (@p539 @p538)) % 152.12/153.01 (step @p541 :rule trans :premises (@p540 @p533)) % 152.12/153.01 (step @p542 :rule nary_cong :premises (@p541 @p532) :args ((or (not @t542) @t540))) % 152.12/153.01 (step @p543 :rule trans :premises (@p542 @p531)) % 152.12/153.01 (step @p544 :rule bool-impl-elim :args (@t542 @t540)) % 152.12/153.01 (step @p545 :rule trans :premises (@p544 @p543)) % 152.12/153.01 (step @p546 :rule bool-and-de-morgan :args (@t470 @t456 true)) % 152.12/153.01 (step @p547 :rule nary_cong :premises (@p546 @p545) :args ((or (not @t544) @t543))) % 152.12/153.01 (step @p548 :rule trans :premises (@p547 @p530)) % 152.12/153.01 (step @p549 :rule bool-impl-elim :args (@t544 @t543)) % 152.12/153.01 (step @p550 :rule trans :premises (@p549 @p548)) % 152.12/153.01 (step @p551 :rule bool-double-not-elim :args (@t459)) % 152.12/153.01 (step @p552 :rule nary_cong :premises (@p509 @p551) :args ((or @t469 (not @t545)))) % 152.12/153.01 (step @p553 :rule bool-and-de-morgan :args (@t468 @t545 true)) % 152.12/153.01 (step @p554 :rule trans :premises (@p553 @p552)) % 152.12/153.01 (step @p555 :rule nary_cong :premises (@p554 @p550) :args ((or (not @t547) @t546))) % 152.12/153.01 (step @p556 :rule trans :premises (@p555 @p529)) % 152.12/153.01 (step @p557 :rule bool-impl-elim :args (@t547 @t546)) % 152.12/153.01 (step @p558 :rule trans :premises (@p557 @p556)) % 152.12/153.01 (step @p559 :rule nary_cong :premises (@p434 @p558) :args ((or @t494 @t548))) % 152.12/153.01 (step @p560 :rule trans :premises (@p559 @p528)) % 152.12/153.01 (step @p561 :rule bool-impl-elim :args (@t493 @t548)) % 152.12/153.01 (step @p562 :rule trans :premises (@p561 @p560)) % 152.12/153.01 (step @p563 :rule aci_norm :args ((= (or @t475 (or @t472 @t466)) @t536))) % 152.12/153.01 (step @p564 :rule bool-and-de-morgan :args (@t185 @t465 true)) % 152.12/153.01 (step @p565 :rule nary_cong :premises (@p512 @p564) :args ((or @t475 (not (and @t185 @t465))))) % 152.12/153.01 (step @p566 :rule bool-and-de-morgan :args (@t474 @t185 (and @t465))) % 152.12/153.01 (step @p567 :rule trans :premises (@p566 @p565)) % 152.12/153.01 (step @p568 :rule trans :premises (@p567 @p563)) % 152.12/153.01 (step @p569 :rule nary_cong :premises (@p568 @p562) :args ((or (not @t550) @t549))) % 152.12/153.01 (step @p570 :rule trans :premises (@p569 @p527)) % 152.12/153.01 (step @p571 :rule bool-impl-elim :args (@t550 @t549)) % 152.12/153.01 (step @p572 :rule trans :premises (@p571 @p570)) % 152.12/153.01 (step @p573 :rule bool-and-de-morgan :args (@t470 @t468 true)) % 152.12/153.01 (step @p574 :rule nary_cong :premises (@p573 @p572) :args ((or (not @t552) @t551))) % 152.12/153.01 (step @p575 :rule trans :premises (@p574 @p526)) % 152.12/153.01 (step @p576 :rule bool-impl-elim :args (@t552 @t551)) % 152.12/153.01 (step @p577 :rule trans :premises (@p576 @p575)) % 152.12/153.01 (step @p578 :rule cong :premises (@p577) :args ((forall @t198 (=> @t552 @t551)))) % 152.12/153.01 (step @p579 :rule trans :premises (@p578 @p525)) % 152.12/153.01 (step @p580 :rule aci_norm :args ((= @t554 @t526))) % 152.12/153.01 (step @p581 :rule cong :premises (@p580) :args (@t555)) % 152.12/153.01 (step @p582 :rule quant-merge-prenex :args ((= (forall @t163 @t557) @t555))) % 152.12/153.01 (step @p583 :rule alpha_equiv :args (@t558 (@list @t518) @t560)) % 152.12/153.01 (step @p584 :rule refl :args (@t524)) % 152.12/153.01 (step @p585 :rule refl :args (@t525)) % 152.12/153.01 (step @p586 :rule nary_cong :premises (@p585 @p584 @p583) :args (@t561)) % 152.12/153.01 (step @p587 :rule quant-miniscope-or :args ((= @t557 @t561))) % 152.12/153.01 (step @p588 :rule trans :premises (@p587 @p586)) % 152.12/153.01 (step @p589 :rule symm :premises (@p588)) % 152.12/153.01 (step @p590 :rule cong :premises (@p589) :args (@t570)) % 152.12/153.01 (step @p591 :rule trans :premises (@p590 @p582)) % 152.12/153.01 (step @p592 :rule trans :premises (@p591 @p581)) % 152.12/153.01 (step @p593 :rule nary_cong :premises (@p463 @p462 @p333 @p592) :args (@t571)) % 152.12/153.01 (step @p594 :rule quant-miniscope-or :args ((= (forall @t163 @t572) @t571))) % 152.12/153.01 (step @p595 :rule aci_norm :args ((= @t573 @t572))) % 152.12/153.01 (step @p596 :rule cong :premises (@p595) :args ((forall @t163 @t573))) % 152.12/153.01 (step @p597 :rule trans :premises (@p596 @p594)) % 152.12/153.01 (step @p598 :rule trans :premises (@p597 @p593)) % 152.12/153.01 (step @p599 :rule aci_norm :args ((= (or (or @t525 @t524) @t574) @t573))) % 152.12/153.01 (step @p600 :rule aci_norm :args ((= (or (or @t398 @t403) @t575) @t574))) % 152.12/153.01 (step @p601 :rule refl :args (@t575)) % 152.12/153.01 (step @p602 :rule nary_cong :premises (@p405 @p426) :args (@t490)) % 152.12/153.01 (step @p603 :rule trans :premises (@p430 @p602)) % 152.12/153.01 (step @p604 :rule nary_cong :premises (@p603 @p601) :args ((or @t492 @t575))) % 152.12/153.01 (step @p605 :rule trans :premises (@p604 @p600)) % 152.12/153.01 (step @p606 :rule bool-impl-elim :args (@t491 @t575)) % 152.12/153.01 (step @p607 :rule trans :premises (@p606 @p605)) % 152.12/153.01 (step @p608 :rule bool-and-de-morgan :args (@t160 @t523 true)) % 152.12/153.01 (step @p609 :rule nary_cong :premises (@p608 @p607) :args ((or (not @t577) @t576))) % 152.12/153.01 (step @p610 :rule trans :premises (@p609 @p599)) % 152.12/153.01 (step @p611 :rule bool-impl-elim :args (@t577 @t576)) % 152.12/153.01 (step @p612 :rule trans :premises (@p611 @p610)) % 152.12/153.01 (step @p613 :rule cong :premises (@p612) :args ((forall @t163 (=> @t577 @t576)))) % 152.12/153.01 (step @p614 :rule trans :premises (@p613 @p598)) % 152.12/153.01 (step @p615 :rule aci_norm :args ((= (or false @t565 @t563) @t566))) % 152.12/153.01 (step @p616 :rule refl :args (@t563)) % 152.12/153.01 (step @p617 :rule refl :args (@t565)) % 152.12/153.01 (step @p618 :rule eq-refl :args (@t138)) % 152.12/153.01 (step @p619 :rule cong :premises (@p618) :args (@t578)) % 152.12/153.01 (step @p620 :rule trans :premises (@p619 @p373)) % 152.12/153.01 (step @p621 :rule nary_cong :premises (@p620 @p617 @p616) :args (@t579)) % 152.12/153.01 (step @p622 :rule trans :premises (@p621 @p615)) % 152.12/153.01 (step @p623 :rule cong :premises (@p622) :args ((forall @t567 @t579))) % 152.12/153.01 (step @p624 :rule quant-var-elim-eq :args ((= (forall @t144 @t582) @t579))) % 152.12/153.01 (step @p625 :rule aci_norm :args ((= @t583 @t582))) % 152.12/153.01 (step @p626 :rule cong :premises (@p625) :args (@t584)) % 152.12/153.01 (step @p627 :rule trans :premises (@p626 @p624)) % 152.12/153.01 (step @p628 :rule cong :premises (@p627) :args (@t585)) % 152.12/153.01 (step @p629 :rule quant-merge-prenex :args ((= @t585 @t586))) % 152.12/153.01 (step @p630 :rule symm :premises (@p629)) % 152.12/153.01 (step @p631 :rule quant_var_reordering :args ((= (forall @t587 @t583) @t586))) % 152.12/153.01 (step @p632 :rule trans :premises (@p631 @p630 @p628)) % 152.12/153.01 (step @p633 :rule trans :premises (@p632 @p623)) % 152.12/153.01 (step @p634 :rule refl :args (@t437)) % 152.12/153.01 (step @p635 :rule eq-symm :args (@t559 @t99)) % 152.12/153.01 (step @p636 :rule cong :premises (@p635) :args (@t588)) % 152.12/153.01 (step @p637 :rule nary_cong :premises (@p636 @p634) :args (@t589)) % 152.12/153.01 (step @p638 :rule cong :premises (@p637) :args (@t590)) % 152.12/153.01 (step @p639 :rule cong :premises (@p638) :args (@t591)) % 152.12/153.01 (step @p640 :rule refl :args (@t562)) % 152.12/153.01 (step @p641 :rule nary_cong :premises (@p640 @p639) :args (@t592)) % 152.12/153.01 (step @p642 :rule refl :args (@t580)) % 152.12/153.01 (step @p643 :rule refl :args (@t581)) % 152.12/153.01 (step @p644 :rule nary_cong :premises (@p643 @p642 @p641) :args (@t593)) % 152.12/153.01 (step @p645 :rule aci_norm :args ((= @t595 @t593))) % 152.12/153.01 (step @p646 :rule trans :premises (@p645 @p644)) % 152.12/153.01 (step @p647 :rule cong :premises (@p646) :args (@t596)) % 152.12/153.01 (step @p648 :rule trans :premises (@p647 @p633)) % 152.12/153.01 (step @p649 :rule quant-merge-prenex :args ((= (forall @t144 @t597) @t596))) % 152.12/153.01 (step @p650 :rule alpha_equiv :args (@t598 @t560 (@list @t93))) % 152.12/153.01 (step @p651 :rule refl :args (@t581)) % 152.12/153.01 (step @p652 :rule nary_cong :premises (@p651 @p650) :args (@t599)) % 152.12/153.01 (step @p653 :rule quant-miniscope-or :args ((= @t597 @t599))) % 152.12/153.01 (step @p654 :rule trans :premises (@p653 @p652)) % 152.12/153.01 (step @p655 :rule symm :premises (@p654)) % 152.12/153.01 (step @p656 :rule cong :premises (@p655) :args (@t606)) % 152.12/153.01 (step @p657 :rule trans :premises (@p656 @p649)) % 152.12/153.01 (step @p658 :rule trans :premises (@p657 @p648)) % 152.12/153.01 (step @p659 :rule nary_cong :premises (@p333 @p658) :args (@t607)) % 152.12/153.01 (step @p660 :rule quant-miniscope-or :args ((= (forall @t144 @t608) @t607))) % 152.12/153.01 (step @p661 :rule aci_norm :args ((= @t609 @t608))) % 152.12/153.01 (step @p662 :rule cong :premises (@p661) :args ((forall @t144 @t609))) % 152.12/153.01 (step @p663 :rule trans :premises (@p662 @p660)) % 152.12/153.01 (step @p664 :rule trans :premises (@p663 @p659)) % 152.12/153.01 (step @p665 :rule aci_norm :args ((= (or (or @t326 @t581) @t604) @t609))) % 152.12/153.01 (step @p666 :rule refl :args (@t604)) % 152.12/153.01 (step @p667 :rule bool-and-de-morgan :args (@t316 @t139 true)) % 152.12/153.01 (step @p668 :rule nary_cong :premises (@p667 @p666) :args ((or (not @t610) @t604))) % 152.12/153.01 (step @p669 :rule trans :premises (@p668 @p665)) % 152.12/153.01 (step @p670 :rule bool-impl-elim :args (@t610 @t604)) % 152.12/153.01 (step @p671 :rule trans :premises (@p670 @p669)) % 152.12/153.01 (step @p672 :rule cong :premises (@p671) :args ((forall @t144 (=> @t610 @t604)))) % 152.12/153.01 (step @p673 :rule trans :premises (@p672 @p664)) % 152.12/153.01 (step @p674 :rule refl :args (@t602)) % 152.12/153.01 (step @p675 :rule bool-double-not-elim :args (@t388)) % 152.12/153.01 (step @p676 :rule nary_cong :premises (@p675 @p674) :args ((and @t612 @t602))) % 152.12/153.01 (step @p677 :rule bool-or-de-morgan :args (@t611 @t601 false)) % 152.12/153.01 (step @p678 :rule trans :premises (@p677 @p676)) % 152.12/153.01 (step @p679 :rule refl :args (@t603)) % 152.12/153.01 (step @p680 :rule nary_cong :premises (@p679 @p678) :args ((or @t603 @t614))) % 152.12/153.01 (step @p681 :rule bool-impl-elim :args (@t130 @t614)) % 152.12/153.01 (step @p682 :rule trans :premises (@p681 @p680)) % 152.12/153.01 (step @p683 :rule cong :premises (@p682) :args ((forall @t95 (=> @t130 @t614)))) % 152.12/153.01 (step @p684 :rule quant-miniscope-or :args ((= (forall @t102 @t615) @t613))) % 152.12/153.01 (step @p685 :rule aci_norm :args ((= @t616 @t615))) % 152.12/153.01 (step @p686 :rule cong :premises (@p685) :args ((forall @t102 @t616))) % 152.12/153.01 (step @p687 :rule trans :premises (@p686 @p684)) % 152.12/153.01 (step @p688 :rule aci_norm :args ((= (or @t250 (or @t611 @t437)) @t616))) % 152.12/153.01 (step @p689 :rule bool-and-de-morgan :args (@t388 @t436 true)) % 152.12/153.01 (step @p690 :rule refl :args (@t250)) % 152.12/153.01 (step @p691 :rule nary_cong :premises (@p690 @p689) :args ((or @t250 (not (and @t388 @t436))))) % 152.12/153.01 (step @p692 :rule bool-and-de-morgan :args (@t100 @t388 (and @t436))) % 152.12/153.01 (step @p693 :rule trans :premises (@p692 @p691)) % 152.12/153.01 (step @p694 :rule trans :premises (@p693 @p688)) % 152.12/153.01 (step @p695 :rule cong :premises (@p694) :args (@t618)) % 152.12/153.01 (step @p696 :rule trans :premises (@p695 @p687)) % 152.12/153.01 (step @p697 :rule cong :premises (@p696) :args (@t619)) % 152.12/153.01 (step @p698 :rule exists-elim :args ((= (exists @t102 @t617) @t619))) % 152.12/153.01 (step @p699 :rule trans :premises (@p698 @p697)) % 152.12/153.01 (step @p700 :rule bool-double-not-elim :args (@t436)) % 152.12/153.01 (step @p701 :rule arith_poly_norm :args ((= (* -1 (- 0 @t621)) (* -1 (- @t97 @t620))))) % 152.12/153.01 (step @p702 :rule arith_poly_norm_rel :premises (@p701) :args ((= (>= 0 @t621) (>= @t97 @t620)))) % 152.12/153.01 (step @p703 :rule arith-geq-tighten :args (@t435 0)) % 152.12/153.01 (step @p704 :rule trans :premises (@p703 @p702)) % 152.12/153.01 (step @p705 :rule symm :premises (@p704)) % 152.12/153.01 (step @p706 :rule arith_poly_norm :args ((= @t124 @t620))) % 152.12/153.01 (step @p707 :rule refl :args (@t97)) % 152.12/153.01 (step @p708 :rule cong :premises (@p707 @p706) :args (@t622)) % 152.12/153.01 (step @p709 :rule trans :premises (@p708 @p705)) % 152.12/153.01 (step @p710 :rule cong :premises (@p709) :args ((not @t622))) % 152.12/153.01 (step @p711 :rule trans :premises (@p710 @p700)) % 152.12/153.01 (step @p712 :rule arith-elim-lt :args (@t97 @t124)) % 152.12/153.01 (step @p713 :rule trans :premises (@p712 @p711)) % 152.12/153.01 (step @p714 :rule arith_poly_norm :args ((= (* 1 (- @t94 @t70)) (* -1 (- @t70 @t94))))) % 152.12/153.01 (step @p715 :rule arith_poly_norm_rel :premises (@p714) :args ((= @t125 @t388))) % 152.12/153.01 (step @p716 :rule refl :args (@t100)) % 152.12/153.01 (step @p717 :rule nary_cong :premises (@p716 @p715 @p713) :args (@t126)) % 152.12/153.01 (step @p718 :rule cong :premises (@p717) :args (@t127)) % 152.12/153.01 (step @p719 :rule trans :premises (@p718 @p699)) % 152.12/153.01 (step @p720 :rule refl :args (@t130)) % 152.12/153.01 (step @p721 :rule cong :premises (@p720 @p719) :args (@t131)) % 152.12/153.01 (step @p722 :rule cong :premises (@p721) :args (@t132)) % 152.12/153.01 (step @p723 :rule trans :premises (@p722 @p683)) % 152.12/153.01 (step @p724 :rule refl :args (@t139)) % 152.12/153.01 (step @p725 :rule arith_poly_norm :args ((= (* 1 (- @t623 0)) (* 1 (- @t75 -1))))) % 152.12/153.01 (step @p726 :rule arith_poly_norm_rel :premises (@p725) :args ((= (>= @t623 0) @t316))) % 152.12/153.01 (step @p727 :rule arith-elim-leq :args (0 @t623)) % 152.12/153.01 (step @p728 :rule trans :premises (@p727 @p726)) % 152.12/153.01 (step @p729 :rule arith_poly_norm :args (@t624)) % 152.12/153.01 (step @p730 :rule refl :args (0)) % 152.12/153.01 (step @p731 :rule cong :premises (@p730 @p729) :args (@t141)) % 152.12/153.01 (step @p732 :rule trans :premises (@p731 @p728)) % 152.12/153.01 (step @p733 :rule nary_cong :premises (@p732 @p724) :args (@t142)) % 152.12/153.01 (step @p734 :rule cong :premises (@p733 @p723) :args (@t143)) % 152.12/153.01 (step @p735 :rule cong :premises (@p734) :args (@t145)) % 152.12/153.01 (step @p736 :rule trans :premises (@p735 @p673)) % 152.12/153.01 (step @p737 :rule arith_poly_norm :args ((= (* -1 (- @t70 @t623)) @t625))) % 152.12/153.01 (step @p738 :rule arith_poly_norm_rel :premises (@p737) :args ((= (>= @t70 @t623) @t403))) % 152.12/153.01 (step @p739 :rule refl :args (@t70)) % 152.12/153.01 (step @p740 :rule cong :premises (@p739 @p729) :args (@t626)) % 152.12/153.01 (step @p741 :rule trans :premises (@p740 @p738)) % 152.12/153.01 (step @p742 :rule cong :premises (@p741) :args (@t627)) % 152.12/153.01 (step @p743 :rule arith-elim-lt :args (@t70 @t140)) % 152.12/153.01 (step @p744 :rule trans :premises (@p743 @p742)) % 152.12/153.01 (step @p745 :rule arith-elim-leq :args (0 @t70)) % 152.12/153.01 (step @p746 :rule nary_cong :premises (@p745 @p744) :args (@t148)) % 152.12/153.01 (step @p747 :rule cong :premises (@p746 @p736) :args (@t149)) % 152.12/153.01 (step @p748 :rule aci_norm :args ((= (or @t250 (or @t446 @t444)) @t447))) % 152.12/153.01 (step @p749 :rule bool-and-de-morgan :args (@t445 @t443 true)) % 152.12/153.01 (step @p750 :rule nary_cong :premises (@p690 @p749) :args ((or @t250 (not (and @t445 @t443))))) % 152.12/153.01 (step @p751 :rule bool-and-de-morgan :args (@t100 @t445 (and @t443))) % 152.12/153.01 (step @p752 :rule trans :premises (@p751 @p750)) % 152.12/153.01 (step @p753 :rule trans :premises (@p752 @p748)) % 152.12/153.01 (step @p754 :rule cong :premises (@p753) :args (@t629)) % 152.12/153.01 (step @p755 :rule cong :premises (@p754) :args (@t630)) % 152.12/153.01 (step @p756 :rule exists-elim :args ((= (exists @t102 @t628) @t630))) % 152.12/153.01 (step @p757 :rule trans :premises (@p756 @p755)) % 152.12/153.01 (step @p758 :rule arith_poly_norm :args ((= (* -1 (- @t152 @t451)) (* 1 (- @t70 @t442))))) % 152.12/153.01 (step @p759 :rule arith_poly_norm_rel :premises (@p758) :args ((= (= @t152 @t451) @t443))) % 152.12/153.01 (step @p760 :rule arith_poly_norm :args ((= (+ @t631 @t450) @t451))) % 152.12/153.01 (step @p761 :rule refl :args (@t450)) % 152.12/153.01 (step @p762 :rule arith_poly_norm :args ((= (+ @t70 -1) @t631))) % 152.12/153.01 (step @p763 :rule nary_cong :premises (@p739 @p228) :args (@t632)) % 152.12/153.01 (step @p764 :rule trans :premises (@p763 @p762)) % 152.12/153.01 (step @p765 :rule arith_poly_norm :args ((= @t150 @t632))) % 152.12/153.01 (step @p766 :rule trans :premises (@p765 @p764)) % 152.12/153.01 (step @p767 :rule nary_cong :premises (@p766 @p761) :args (@t633)) % 152.12/153.01 (step @p768 :rule trans :premises (@p767 @p760)) % 152.12/153.01 (step @p769 :rule arith_poly_norm :args ((= @t151 @t633))) % 152.12/153.01 (step @p770 :rule trans :premises (@p769 @p768)) % 152.12/153.01 (step @p771 :rule refl :args (@t152)) % 152.12/153.01 (step @p772 :rule cong :premises (@p771 @p770) :args (@t153)) % 152.12/153.01 (step @p773 :rule trans :premises (@p772 @p759)) % 152.12/153.01 (step @p774 :rule arith_poly_norm :args ((= (* -1 @t634) (* 1 (- @t123 @t97))))) % 152.12/153.01 (step @p775 :rule arith_poly_norm_rel :premises (@p774) :args ((= @t154 @t445))) % 152.12/153.01 (step @p776 :rule nary_cong :premises (@p716 @p775 @p773) :args (@t155)) % 152.12/153.01 (step @p777 :rule cong :premises (@p776) :args (@t156)) % 152.12/153.01 (step @p778 :rule trans :premises (@p777 @p757)) % 152.12/153.01 (step @p779 :rule refl :args (@t157)) % 152.12/153.01 (step @p780 :rule cong :premises (@p779 @p778) :args (@t158)) % 152.12/153.01 (step @p781 :rule cong :premises (@p780) :args (@t159)) % 152.12/153.01 (step @p782 :rule refl :args (@t160)) % 152.12/153.01 (step @p783 :rule nary_cong :premises (@p782 @p781) :args (@t161)) % 152.12/153.01 (step @p784 :rule cong :premises (@p783 @p747) :args (@t162)) % 152.12/153.01 (step @p785 :rule cong :premises (@p784) :args (@t164)) % 152.12/153.01 (step @p786 :rule trans :premises (@p785 @p614)) % 152.12/153.01 (step @p787 :rule cong :premises (@p770) :args (@t165)) % 152.12/153.01 (step @p788 :rule refl :args (@t134)) % 152.12/153.01 (step @p789 :rule refl :args (tptp.int)) % 152.12/153.01 (step @p790 :rule refl :args (@t107)) % 152.12/153.01 (step @p791 :rule cong :premises (@p790 @p789 @p788 @p787) :args (@t166)) % 152.12/153.01 (step @p792 :rule cong :premises (@p791) :args (@t167)) % 152.12/153.01 (step @p793 :rule cong :premises (@p770 @p792) :args (@t168)) % 152.12/153.01 (step @p794 :rule arith_poly_norm :args ((= (* -1 (- @t451 0)) @t635))) % 152.12/153.01 (step @p795 :rule arith_poly_norm_rel :premises (@p794) :args ((= (>= @t451 0) @t468))) % 152.12/153.01 (step @p796 :rule arith-elim-leq :args (0 @t451)) % 152.12/153.01 (step @p797 :rule trans :premises (@p796 @p795)) % 152.12/153.01 (step @p798 :rule cong :premises (@p730 @p770) :args (@t169)) % 152.12/153.01 (step @p799 :rule trans :premises (@p798 @p797)) % 152.12/153.01 (step @p800 :rule refl :args (@t170)) % 152.12/153.01 (step @p801 :rule arith-elim-leq :args (0 @t123)) % 152.12/153.01 (step @p802 :rule nary_cong :premises (@p801 @p800 @p799 @p793) :args (@t172)) % 152.12/153.01 (step @p803 :rule cong :premises (@p802 @p786) :args (@t173)) % 152.12/153.01 (step @p804 :rule bool-double-not-elim :args (@t456)) % 152.12/153.01 (step @p805 :rule arith_poly_norm :args ((= (* -1 (- 0 @t636)) (* -1 (- @t123 @t623))))) % 152.12/153.01 (step @p806 :rule arith_poly_norm_rel :premises (@p805) :args ((= (>= 0 @t636) (>= @t123 @t623)))) % 152.12/153.01 (step @p807 :rule arith-geq-tighten :args (@t455 0)) % 152.12/153.01 (step @p808 :rule trans :premises (@p807 @p806)) % 152.12/153.01 (step @p809 :rule symm :premises (@p808)) % 152.12/153.01 (step @p810 :rule refl :args (@t123)) % 152.12/153.01 (step @p811 :rule cong :premises (@p810 @p729) :args (@t637)) % 152.12/153.01 (step @p812 :rule trans :premises (@p811 @p809)) % 152.12/153.01 (step @p813 :rule cong :premises (@p812) :args ((not @t637))) % 152.12/153.01 (step @p814 :rule trans :premises (@p813 @p804)) % 152.12/153.01 (step @p815 :rule arith-elim-lt :args (@t123 @t140)) % 152.12/153.01 (step @p816 :rule trans :premises (@p815 @p814)) % 152.12/153.01 (step @p817 :rule nary_cong :premises (@p801 @p816) :args (@t174)) % 152.12/153.01 (step @p818 :rule cong :premises (@p817 @p803) :args (@t175)) % 152.12/153.01 (step @p819 :rule arith_poly_norm :args ((= (* -2 (- @t451 @t623)) (* -2 (- @t458 2))))) % 152.12/153.01 (step @p820 :rule arith_poly_norm_rel :premises (@p819) :args ((= (>= @t451 @t623) @t459))) % 152.12/153.01 (step @p821 :rule cong :premises (@p770 @p729) :args (@t638)) % 152.12/153.01 (step @p822 :rule trans :premises (@p821 @p820)) % 152.12/153.01 (step @p823 :rule cong :premises (@p822) :args ((not @t638))) % 152.12/153.01 (step @p824 :rule arith-elim-lt :args (@t151 @t140)) % 152.12/153.01 (step @p825 :rule trans :premises (@p824 @p823)) % 152.12/153.01 (step @p826 :rule nary_cong :premises (@p799 @p825) :args (@t176)) % 152.12/153.01 (step @p827 :rule cong :premises (@p826 @p818) :args (@t177)) % 152.12/153.01 (step @p828 :rule nary_cong :premises (@p732 @p745 @p744) :args (@t178)) % 152.12/153.01 (step @p829 :rule cong :premises (@p828 @p827) :args (@t179)) % 152.12/153.01 (step @p830 :rule refl :args (@t464)) % 152.12/153.01 (step @p831 :rule nary_cong :premises (@p675 @p830) :args ((and @t612 @t464))) % 152.12/153.01 (step @p832 :rule bool-or-de-morgan :args (@t611 @t463 false)) % 152.12/153.01 (step @p833 :rule trans :premises (@p832 @p831)) % 152.12/153.01 (step @p834 :rule refl :args (@t182)) % 152.12/153.01 (step @p835 :rule cong :premises (@p834 @p833) :args (@t640)) % 152.12/153.01 (step @p836 :rule cong :premises (@p835) :args ((forall @t95 @t640))) % 152.12/153.01 (step @p837 :rule quant-miniscope-or :args ((= (forall @t102 @t641) @t639))) % 152.12/153.01 (step @p838 :rule aci_norm :args ((= @t642 @t641))) % 152.12/153.01 (step @p839 :rule cong :premises (@p838) :args ((forall @t102 @t642))) % 152.12/153.01 (step @p840 :rule trans :premises (@p839 @p837)) % 152.12/153.01 (step @p841 :rule aci_norm :args ((= (or @t250 (or @t611 @t461)) @t642))) % 152.12/153.01 (step @p842 :rule bool-and-de-morgan :args (@t388 @t460 true)) % 152.12/153.01 (step @p843 :rule nary_cong :premises (@p690 @p842) :args ((or @t250 (not (and @t388 @t460))))) % 152.12/153.01 (step @p844 :rule bool-and-de-morgan :args (@t100 @t388 (and @t460))) % 152.12/153.01 (step @p845 :rule trans :premises (@p844 @p843)) % 152.12/153.01 (step @p846 :rule trans :premises (@p845 @p841)) % 152.12/153.01 (step @p847 :rule cong :premises (@p846) :args (@t644)) % 152.12/153.01 (step @p848 :rule trans :premises (@p847 @p840)) % 152.12/153.01 (step @p849 :rule cong :premises (@p848) :args (@t645)) % 152.12/153.01 (step @p850 :rule exists-elim :args ((= (exists @t102 @t643) @t645))) % 152.12/153.01 (step @p851 :rule trans :premises (@p850 @p849)) % 152.12/153.01 (step @p852 :rule bool-double-not-elim :args (@t460)) % 152.12/153.01 (step @p853 :rule arith_poly_norm :args ((= (* 1 (- 1 @t621)) (* 1 @t634)))) % 152.12/153.01 (step @p854 :rule arith_poly_norm_rel :premises (@p853) :args ((= (>= 1 @t621) @t646))) % 152.12/153.01 (step @p855 :rule arith-geq-tighten :args (@t435 1)) % 152.12/153.01 (step @p856 :rule trans :premises (@p855 @p854)) % 152.12/153.01 (step @p857 :rule symm :premises (@p856)) % 152.12/153.01 (step @p858 :rule cong :premises (@p857) :args ((not @t646))) % 152.12/153.01 (step @p859 :rule trans :premises (@p858 @p852)) % 152.12/153.01 (step @p860 :rule arith-elim-lt :args (@t97 @t123)) % 152.12/153.01 (step @p861 :rule trans :premises (@p860 @p859)) % 152.12/153.01 (step @p862 :rule nary_cong :premises (@p716 @p715 @p861) :args (@t180)) % 152.12/153.01 (step @p863 :rule cong :premises (@p862) :args (@t181)) % 152.12/153.01 (step @p864 :rule trans :premises (@p863 @p851)) % 152.12/153.01 (step @p865 :rule refl :args (@t182)) % 152.12/153.01 (step @p866 :rule cong :premises (@p865 @p864) :args (@t183)) % 152.12/153.01 (step @p867 :rule cong :premises (@p866) :args (@t184)) % 152.12/153.01 (step @p868 :rule trans :premises (@p867 @p836)) % 152.12/153.01 (step @p869 :rule refl :args (@t185)) % 152.12/153.01 (step @p870 :rule aci_norm :args ((= (or @t647 @t188) @t473))) % 152.12/153.01 (step @p871 :rule refl :args (@t188)) % 152.12/153.01 (step @p872 :rule bool-and-de-morgan :args (@t265 @t394 true)) % 152.12/153.01 (step @p873 :rule nary_cong :premises (@p872 @p871) :args ((or @t649 @t188))) % 152.12/153.01 (step @p874 :rule trans :premises (@p873 @p870)) % 152.12/153.01 (step @p875 :rule bool-impl-elim :args (@t648 @t188)) % 152.12/153.01 (step @p876 :rule trans :premises (@p875 @p874)) % 152.12/153.01 (step @p877 :rule cong :premises (@p876) :args ((forall @t191 (=> @t648 @t188)))) % 152.12/153.01 (step @p878 :rule refl :args (@t188)) % 152.12/153.01 (step @p879 :rule bool-double-not-elim :args (@t394)) % 152.12/153.01 (step @p880 :rule arith_poly_norm :args ((= (* -1 (- 1 @t650)) (* -1 (- @t186 @t70))))) % 152.12/153.01 (step @p881 :rule arith_poly_norm_rel :premises (@p880) :args ((= (>= 1 @t650) @t651))) % 152.12/153.01 (step @p882 :rule arith-geq-tighten :args (@t393 1)) % 152.12/153.01 (step @p883 :rule trans :premises (@p882 @p881)) % 152.12/153.01 (step @p884 :rule symm :premises (@p883)) % 152.12/153.01 (step @p885 :rule cong :premises (@p884) :args ((not @t651))) % 152.12/153.01 (step @p886 :rule trans :premises (@p885 @p879)) % 152.12/153.01 (step @p887 :rule arith-elim-lt :args (@t186 @t70)) % 152.12/153.01 (step @p888 :rule trans :premises (@p887 @p886)) % 152.12/153.01 (step @p889 :rule arith-elim-leq :args (0 @t186)) % 152.12/153.01 (step @p890 :rule nary_cong :premises (@p889 @p888) :args (@t189)) % 152.12/153.01 (step @p891 :rule cong :premises (@p890 @p878) :args (@t190)) % 152.12/153.01 (step @p892 :rule cong :premises (@p891) :args (@t192)) % 152.12/153.01 (step @p893 :rule trans :premises (@p892 @p877)) % 152.12/153.01 (step @p894 :rule nary_cong :premises (@p893 @p869 @p868) :args (@t193)) % 152.12/153.01 (step @p895 :rule cong :premises (@p894 @p829) :args (@t194)) % 152.12/153.01 (step @p896 :rule arith_poly_norm :args ((= (* -1 (- @t631 @t123)) @t635))) % 152.12/153.01 (step @p897 :rule arith_poly_norm_rel :premises (@p896) :args ((= (>= @t631 @t123) @t468))) % 152.12/153.01 (step @p898 :rule arith-elim-leq :args (@t123 @t631)) % 152.12/153.01 (step @p899 :rule trans :premises (@p898 @p897)) % 152.12/153.01 (step @p900 :rule cong :premises (@p810 @p766) :args (@t195)) % 152.12/153.01 (step @p901 :rule trans :premises (@p900 @p899)) % 152.12/153.01 (step @p902 :rule nary_cong :premises (@p801 @p901) :args (@t196)) % 152.12/153.01 (step @p903 :rule cong :premises (@p902 @p895) :args (@t197)) % 152.12/153.01 (step @p904 :rule cong :premises (@p903) :args (@t199)) % 152.12/153.01 (step @p905 :rule trans :premises (@p904 @p579)) % 152.12/153.01 (step @p906 :rule arith_poly_norm :args ((= (* -1 (- @t631 0)) (* -1 @t150)))) % 152.12/153.01 (step @p907 :rule arith_poly_norm_rel :premises (@p906) :args ((= (>= @t631 0) @t404))) % 152.12/153.01 (step @p908 :rule arith-elim-leq :args (0 @t631)) % 152.12/153.01 (step @p909 :rule trans :premises (@p908 @p907)) % 152.12/153.01 (step @p910 :rule cong :premises (@p730 @p766) :args (@t200)) % 152.12/153.01 (step @p911 :rule trans :premises (@p910 @p909)) % 152.12/153.01 (step @p912 :rule cong :premises (@p911 @p905) :args (@t201)) % 152.12/153.01 (step @p913 :rule refl :args (@t206)) % 152.12/153.01 (step @p914 :rule nary_cong :premises (@p732 @p913) :args (@t207)) % 152.12/153.01 (step @p915 :rule cong :premises (@p914 @p912) :args (@t208)) % 152.12/153.01 (step @p916 :rule cong :premises (@p915) :args (@t210)) % 152.12/153.01 (step @p917 :rule trans :premises (@p916 @p482)) % 152.12/153.01 (step @p918 :rule cong :premises (@p828 @p917) :args (@t211)) % 152.12/153.01 (step @p919 :rule aci_norm :args ((= (or @t647 @t212) @t399))) % 152.12/153.01 (step @p920 :rule refl :args (@t212)) % 152.12/153.01 (step @p921 :rule nary_cong :premises (@p872 @p920) :args ((or @t649 @t212))) % 152.12/153.01 (step @p922 :rule trans :premises (@p921 @p919)) % 152.12/153.01 (step @p923 :rule bool-impl-elim :args (@t648 @t212)) % 152.12/153.01 (step @p924 :rule trans :premises (@p923 @p922)) % 152.12/153.01 (step @p925 :rule cong :premises (@p924) :args ((forall @t191 (=> @t648 @t212)))) % 152.12/153.01 (step @p926 :rule refl :args (@t212)) % 152.12/153.01 (step @p927 :rule cong :premises (@p890 @p926) :args (@t213)) % 152.12/153.01 (step @p928 :rule cong :premises (@p927) :args (@t214)) % 152.12/153.01 (step @p929 :rule trans :premises (@p928 @p925)) % 152.12/153.01 (step @p930 :rule cong :premises (@p929 @p918) :args (@t215)) % 152.12/153.01 (step @p931 :rule arith_poly_norm :args ((= (* -1 (- @t70 @t140)) @t625))) % 152.12/153.01 (step @p932 :rule arith_poly_norm_rel :premises (@p931) :args ((= @t626 @t403))) % 152.12/153.01 (step @p933 :rule cong :premises (@p932) :args (@t627)) % 152.12/153.01 (step @p934 :rule arith-leq-norm :args (@t70 @t75)) % 152.12/153.01 (step @p935 :rule trans :premises (@p934 @p933)) % 152.12/153.01 (step @p936 :rule arith-elim-leq :args (1 @t70)) % 152.12/153.01 (step @p937 :rule nary_cong :premises (@p936 @p935) :args (@t216)) % 152.12/153.01 (step @p938 :rule cong :premises (@p937 @p930) :args (@t217)) % 152.12/153.01 (step @p939 :rule cong :premises (@p938) :args (@t219)) % 152.12/153.01 (step @p940 :rule trans :premises (@p939 @p451)) % 152.12/153.01 (step @p941 :rule arith-elim-leq :args (1 @t75)) % 152.12/153.01 (step @p942 :rule cong :premises (@p941 @p940) :args (@t220)) % 152.12/153.01 (step @p943 :rule refl :args (@t223)) % 152.12/153.01 (step @p944 :rule nary_cong :premises (@p732 @p943) :args (@t224)) % 152.12/153.01 (step @p945 :rule cong :premises (@p944 @p942) :args (@t225)) % 152.12/153.01 (step @p946 :rule cong :premises (@p945) :args (@t227)) % 152.12/153.01 (step @p947 :rule trans :premises (@p946 @p400)) % 152.12/153.01 (step @p948 :rule aci_norm :args ((= (and true @t317) @t317))) % 152.12/153.01 (step @p949 :rule arith_poly_norm :args (@t624)) % 152.12/153.01 (step @p950 :rule refl :args (0)) % 152.12/153.01 (step @p951 :rule cong :premises (@p950 @p949) :args (@t652)) % 152.12/153.01 (step @p952 :rule arith-geq-tighten :args (@t75 0)) % 152.12/153.01 (step @p953 :rule trans :premises (@p952 @p951)) % 152.12/153.01 (step @p954 :rule symm :premises (@p953)) % 152.12/153.01 (step @p955 :rule cong :premises (@p730 @p729) :args (@t652)) % 152.12/153.01 (step @p956 :rule trans :premises (@p955 @p954)) % 152.12/153.01 (step @p957 :rule cong :premises (@p956) :args ((not @t652))) % 152.12/153.01 (step @p958 :rule trans :premises (@p957 @p240)) % 152.12/153.01 (step @p959 :rule arith-elim-lt :args (0 @t140)) % 152.12/153.01 (step @p960 :rule trans :premises (@p959 @p958)) % 152.12/153.01 (step @p961 :rule evaluate :args (@t228)) % 152.12/153.01 (step @p962 :rule nary_cong :premises (@p961 @p960) :args (@t229)) % 152.12/153.01 (step @p963 :rule trans :premises (@p962 @p948)) % 152.12/153.01 (step @p964 :rule cong :premises (@p963 @p947) :args (@t230)) % 152.12/153.01 (step @p965 :rule cong :premises (@p732 @p964) :args (@t231)) % 152.12/153.01 (step @p966 :rule cong :premises (@p732 @p965) :args (@t232)) % 152.12/153.01 (step @p967 :rule arith-elim-leq :args (0 @t75)) % 152.12/153.01 (step @p968 :rule cong :premises (@p967 @p966) :args (@t233)) % 152.12/153.01 (step @p969 :rule cong :premises (@p968) :args (@t235)) % 152.12/153.01 (step @p970 :rule trans :premises (@p969 @p371)) % 152.12/153.01 (step @p971 :rule cong :premises (@p970) :args (@t236)) % 152.12/153.01 (step @p972 :rule eq_resolve :premises (@p78 @p971)) % 152.12/153.01 (step @p973 :rule skolemize :premises (@p972)) % 152.12/153.01 (step @p974 :rule bool-double-not-elim :args (@t655)) % 152.12/153.01 (step @p975 :rule refl :args (@t686)) % 152.12/153.01 (step @p976 :rule nary_cong :premises (@p975 @p974) :args ((or @t686 (not @t685)))) % 152.12/153.01 (step @p977 :rule cnf_or_neg :args (@t686 0)) % 152.12/153.01 (step @p978 :rule eq_resolve :premises (@p977 @p976)) % 152.12/153.01 (step @p979 :rule reordering :premises (@p978) :args ((or @t655 @t686))) % 152.12/153.01 (step @p980 :rule chain_m_resolution :premises (@p979 @p973) :args (@t655 @t687 @t688)) % 152.12/153.01 (step @p981 :rule cnf_and_pos :args (@t691 0)) % 152.12/153.01 (step @p982 :rule reordering :premises (@p981) :args ((or @t663 @t692))) % 152.12/153.01 (step @p983 :rule bool-double-not-elim :args (@t681)) % 152.12/153.01 (step @p984 :rule nary_cong :premises (@p975 @p983) :args ((or @t686 (not @t682)))) % 152.12/153.01 (step @p985 :rule cnf_or_neg :args (@t686 7)) % 152.12/153.01 (step @p986 :rule eq_resolve :premises (@p985 @p984)) % 152.12/153.01 (step @p987 :rule reordering :premises (@p986) :args ((or @t681 @t686))) % 152.12/153.01 (step @p988 :rule chain_m_resolution :premises (@p987 @p973) :args (@t681 @t687 @t688)) % 152.12/153.01 (step @p989 :rule refl :args (@t680)) % 152.12/153.01 (step @p990 :rule eq-symm :args (@t658 @t99)) % 152.12/153.01 (step @p991 :rule cong :premises (@p990) :args (@t693)) % 152.12/153.01 (step @p992 :rule nary_cong :premises (@p991 @p989) :args (@t694)) % 152.12/153.01 (step @p993 :rule cong :premises (@p992) :args (@t695)) % 152.12/153.01 (step @p994 :rule cong :premises (@p993) :args (@t696)) % 152.12/153.01 (step @p995 :rule refl :args (@t663)) % 152.12/153.01 (step @p996 :rule nary_cong :premises (@p995 @p994) :args (@t697)) % 152.12/153.01 (step @p997 :rule refl :args (@t698)) % 152.12/153.01 (step @p998 :rule cong :premises (@p997 @p996) :args (@t699)) % 152.12/153.01 (step @p999 :rule refl :args (@t681)) % 152.12/153.01 (step @p1000 :rule cong :premises (@p999 @p998) :args ((=> @t681 @t699))) % 152.12/153.01 (assume-push @p1735 @t681) % 152.12/153.01 (step @p1002 :rule instantiate :premises (@p988) :args (@t700)) % 152.12/153.01 (step-pop @p1736 :rule scope :premises (@p1002)) % 152.12/153.01 (step @p1003 :rule process_scope :premises (@p1736) :args (@t699)) % 152.12/153.01 (step @p1005 :rule eq_resolve :premises (@p1003 @p1000)) % 152.12/153.01 (step @p1006 :rule implies_elim :premises (@p1005)) % 152.12/153.01 (step @p1007 :rule chain_m_resolution :premises (@p1006 @p988) :args (@t701 @t702 (@list @t681))) % 152.12/153.01 (step @p1008 :rule cnf_equiv_pos1 :args (@t701)) % 152.12/153.01 (step @p1009 :rule reordering :premises (@p1008) :args ((or @t691 (not @t698) (not @t701)))) % 152.12/153.01 (step @p1010 :rule instantiate :premises (@p29) :args ((@list tptp.tree @t671 @t668 @t667))) % 152.12/153.01 (step @p1011 :rule bool-double-not-elim :args (@t672)) % 152.12/153.01 (step @p1012 :rule nary_cong :premises (@p975 @p1011) :args ((or @t686 (not @t673)))) % 152.12/153.01 (step @p1013 :rule cnf_or_neg :args (@t686 12)) % 152.12/153.01 (step @p1014 :rule eq_resolve :premises (@p1013 @p1012)) % 152.12/153.01 (step @p1015 :rule reordering :premises (@p1014) :args ((or @t672 @t686))) % 152.12/153.01 (step @p1016 :rule chain_m_resolution :premises (@p1015 @p973) :args (@t672 @t687 @t688)) % 152.12/153.01 (step @p1017 :rule true_intro :premises (@p1016)) % 152.12/153.01 (step @p1018 :rule refl :args (@t665)) % 152.12/153.01 (step @p1019 :rule eq-symm :args (@t121 @t72)) % 152.12/153.01 (step @p1020 :rule cong :premises (@p1019) :args (@t122)) % 152.12/153.01 (step @p1021 :rule eq_resolve :premises (@p77 @p1020)) % 152.12/153.01 (step @p1022 :rule instantiate :premises (@p1021) :args ((@list @t670))) % 152.12/153.01 (step @p1023 :rule cong :premises (@p790 @p789 @p1022 @p1018) :args (@t703)) % 152.12/153.01 (step @p1024 :rule aci_norm :args ((= (or @t705 false @t704) (or @t705 @t704)))) % 152.12/153.01 (step @p1025 :rule refl :args (@t704)) % 152.12/153.01 (step @p1026 :rule eq-refl :args (@t52)) % 152.12/153.01 (step @p1027 :rule cong :premises (@p1026) :args (@t706)) % 152.12/153.01 (step @p1028 :rule trans :premises (@p1027 @p373)) % 152.12/153.01 (step @p1029 :rule refl :args (@t705)) % 152.12/153.01 (step @p1030 :rule nary_cong :premises (@p1029 @p1028 @p1025) :args (@t707)) % 152.12/153.01 (step @p1031 :rule trans :premises (@p1030 @p1024)) % 152.12/153.01 (step @p1032 :rule cong :premises (@p1031) :args ((forall @t708 @t707))) % 152.12/153.01 (step @p1033 :rule quant-var-elim-eq :args ((= (forall @t711 @t710) @t707))) % 152.12/153.01 (step @p1034 :rule aci_norm :args ((= @t712 @t710))) % 152.12/153.01 (step @p1035 :rule cong :premises (@p1034) :args (@t713)) % 152.12/153.01 (step @p1036 :rule trans :premises (@p1035 @p1033)) % 152.12/153.01 (step @p1037 :rule cong :premises (@p1036) :args (@t714)) % 152.12/153.01 (step @p1038 :rule quant-merge-prenex :args ((= @t714 @t715))) % 152.12/153.01 (step @p1039 :rule symm :premises (@p1038)) % 152.12/153.01 (step @p1040 :rule quant_var_reordering :args ((= (forall @t60 @t712) @t715))) % 152.12/153.01 (step @p1041 :rule trans :premises (@p1040 @p1039 @p1037)) % 152.12/153.01 (step @p1042 :rule trans :premises (@p1041 @p1032)) % 152.12/153.01 (step @p1043 :rule aci_norm :args ((= (or @t705 (or @t62 @t709)) @t712))) % 152.12/153.01 (step @p1044 :rule bool-impl-elim :args (@t56 @t709)) % 152.12/153.01 (step @p1045 :rule refl :args (@t705)) % 152.12/153.01 (step @p1046 :rule nary_cong :premises (@p1045 @p1044) :args ((or @t705 @t716))) % 152.12/153.01 (step @p1047 :rule trans :premises (@p1046 @p1043)) % 152.12/153.01 (step @p1048 :rule bool-impl-elim :args (@t58 @t716)) % 152.12/153.01 (step @p1049 :rule trans :premises (@p1048 @p1047)) % 152.12/153.01 (step @p1050 :rule cong :premises (@p1049) :args ((forall @t60 (=> @t58 @t716)))) % 152.12/153.01 (step @p1051 :rule trans :premises (@p1050 @p1042)) % 152.12/153.01 (step @p1052 :rule eq-symm :args (@t55 @t51)) % 152.12/153.01 (step @p1053 :rule refl :args (@t56)) % 152.12/153.01 (step @p1054 :rule cong :premises (@p1053 @p1052) :args (@t57)) % 152.12/153.01 (step @p1055 :rule refl :args (@t58)) % 152.12/153.01 (step @p1056 :rule cong :premises (@p1055 @p1054) :args (@t59)) % 152.12/153.01 (step @p1057 :rule cong :premises (@p1056) :args (@t61)) % 152.12/153.01 (step @p1058 :rule trans :premises (@p1057 @p1051)) % 152.12/153.01 (step @p1059 :rule eq_resolve :premises (@p38 @p1058)) % 152.12/153.01 (step @p1060 :rule instantiate :premises (@p1059) :args ((@list tptp.int @t107 @t666 @t665 @t669))) % 152.12/153.01 (step @p1061 :rule instantiate :premises (@p21) :args ((@list tptp.tree @t668 @t667))) % 152.12/153.01 (step @p1062 :rule cnf_or_pos :args (@t720)) % 152.12/153.01 (step @p1063 :rule reordering :premises (@p1062) :args ((or @t719 @t717 (not @t720)))) % 152.12/153.01 (step @p1064 :rule chain_m_resolution :premises (@p1063 @p1061 @p1060) :args (@t717 @t721 (@list @t718 @t720))) % 152.12/153.01 (step @p1065 :rule trans :premises (@p1064 @p1023)) % 152.12/153.01 (step @p1066 :rule refl :args (@t671)) % 152.12/153.01 (step @p1067 :rule refl :args (tptp.tree)) % 152.12/153.01 (step @p1068 :rule cong :premises (@p1067 @p1066 @p1065) :args (@t722)) % 152.12/153.01 (step @p1069 :rule trans :premises (@p1068 @p1017)) % 152.12/153.01 (step @p1070 :rule true_elim :premises (@p1069)) % 152.12/153.01 (step @p1071 :rule cnf_equiv_pos1 :args (@t725)) % 152.12/153.01 (step @p1072 :rule reordering :premises (@p1071) :args ((or @t724 (not @t722) (not @t725)))) % 152.12/153.01 (step @p1073 :rule chain_m_resolution :premises (@p1072 @p1070 @p1010) :args (@t724 @t721 (@list @t722 @t725))) % 152.12/153.01 (step @p1074 :rule cnf_or_pos :args (@t724)) % 152.12/153.01 (step @p1075 :rule reordering :premises (@p1074) :args ((or @t698 @t723 (not @t724)))) % 152.12/153.01 (step @p1076 :rule bool-double-not-elim :args (@t676)) % 152.12/153.01 (step @p1077 :rule nary_cong :premises (@p975 @p1076) :args ((or @t686 (not @t677)))) % 152.12/153.01 (step @p1078 :rule cnf_or_neg :args (@t686 11)) % 152.12/153.01 (step @p1079 :rule eq_resolve :premises (@p1078 @p1077)) % 152.12/153.01 (step @p1080 :rule reordering :premises (@p1079) :args ((or @t676 @t686))) % 152.12/153.01 (step @p1081 :rule chain_m_resolution :premises (@p1080 @p973) :args (@t676 @t687 @t688)) % 152.12/153.01 (step @p1082 :rule eq-symm :args (@t727 @t723)) % 152.12/153.01 (step @p1083 :rule refl :args (@t723)) % 152.12/153.01 (step @p1084 :rule refl :args (@t674)) % 152.12/153.01 (step @p1085 :rule refl :args (@t675)) % 152.12/153.01 (step @p1086 :rule nary_cong :premises (@p991 @p1085 @p1084) :args (@t728)) % 152.12/153.01 (step @p1087 :rule cong :premises (@p1086) :args (@t729)) % 152.12/153.01 (step @p1088 :rule cong :premises (@p1087) :args (@t730)) % 152.12/153.01 (step @p1089 :rule cong :premises (@p1088 @p1083) :args (@t731)) % 152.12/153.01 (step @p1090 :rule trans :premises (@p1089 @p1082)) % 152.12/153.01 (step @p1091 :rule refl :args (@t676)) % 152.12/153.01 (step @p1092 :rule cong :premises (@p1091 @p1090) :args ((=> @t676 @t731))) % 152.12/153.01 (assume-push @p1737 @t676) % 152.12/153.01 (step @p1094 :rule instantiate :premises (@p1081) :args (@t700)) % 152.12/153.01 (step-pop @p1738 :rule scope :premises (@p1094)) % 152.12/153.01 (step @p1095 :rule process_scope :premises (@p1738) :args (@t731)) % 152.12/153.01 (step @p1097 :rule eq_resolve :premises (@p1095 @p1092)) % 152.12/153.01 (step @p1098 :rule implies_elim :premises (@p1097)) % 152.12/153.01 (step @p1099 :rule chain_m_resolution :premises (@p1098 @p1081) :args (@t732 @t702 (@list @t676))) % 152.12/153.01 (step @p1100 :rule cnf_equiv_pos1 :args (@t732)) % 152.12/153.01 (step @p1101 :rule reordering :premises (@p1100) :args ((or @t727 @t733 (not @t732)))) % 152.12/153.01 (step @p1102 :rule refl :args (@t747)) % 152.12/153.01 (step @p1103 :rule bool-double-not-elim :args (@t726)) % 152.12/153.01 (step @p1104 :rule nary_cong :premises (@p1103 @p1102) :args ((or (not @t727) @t747))) % 152.12/153.01 (step @p1105 :rule refl :args (@t738)) % 152.12/153.01 (step @p1106 :rule refl :args (@t742)) % 152.12/153.01 (step @p1107 :rule eq-symm :args (@t743 @t658)) % 152.12/153.01 (step @p1108 :rule cong :premises (@p1107) :args (@t748)) % 152.12/153.01 (step @p1109 :rule nary_cong :premises (@p1108 @p1106 @p1105) :args (@t749)) % 152.12/153.01 (step @p1110 :rule cong :premises (@p1109) :args (@t750)) % 152.12/153.01 (step @p1111 :rule refl :args (@t727)) % 152.12/153.01 (step @p1112 :rule cong :premises (@p1111 @p1110) :args ((=> @t727 @t750))) % 152.12/153.01 (assume-push @p1739 @t727) % 152.12/153.01 (step @p1114 :rule skolemize :premises (@p1739)) % 152.12/153.01 (step-pop @p1740 :rule scope :premises (@p1114)) % 152.12/153.01 (step @p1115 :rule process_scope :premises (@p1740) :args (@t750)) % 152.12/153.01 (step @p1117 :rule eq_resolve :premises (@p1115 @p1112)) % 152.12/153.01 (step @p1118 :rule implies_elim :premises (@p1117)) % 152.12/153.01 (step @p1119 :rule eq_resolve :premises (@p1118 @p1104)) % 152.12/153.01 (step @p1120 :rule bool-double-not-elim :args (@t744)) % 152.12/153.01 (step @p1121 :rule refl :args (@t746)) % 152.12/153.01 (step @p1122 :rule nary_cong :premises (@p1121 @p1120) :args ((or @t746 (not @t745)))) % 152.12/153.01 (step @p1123 :rule cnf_or_neg :args (@t746 0)) % 152.12/153.01 (step @p1124 :rule eq_resolve :premises (@p1123 @p1122)) % 152.12/153.01 (step @p1125 :rule reordering :premises (@p1124) :args ((or @t744 @t746))) % 152.12/153.01 (step @p1126 :rule bool-double-not-elim :args (@t741)) % 152.12/153.01 (step @p1127 :rule nary_cong :premises (@p1121 @p1126) :args ((or @t746 (not @t742)))) % 152.12/153.01 (step @p1128 :rule cnf_or_neg :args (@t746 1)) % 152.12/153.01 (step @p1129 :rule eq_resolve :premises (@p1128 @p1127)) % 152.12/153.01 (step @p1130 :rule reordering :premises (@p1129) :args ((or @t741 @t746))) % 152.12/153.01 (step @p1131 :rule bool-double-not-elim :args (@t737)) % 152.12/153.01 (step @p1132 :rule nary_cong :premises (@p1121 @p1131) :args ((or @t746 (not @t738)))) % 152.12/153.01 (step @p1133 :rule cnf_or_neg :args (@t746 2)) % 152.12/153.01 (step @p1134 :rule eq_resolve :premises (@p1133 @p1132)) % 152.12/153.01 (step @p1135 :rule reordering :premises (@p1134) :args ((or @t737 @t746))) % 152.12/153.01 (assume-push @p1741 @t744) % 152.12/153.01 (assume-push @p1742 @t744) % 152.12/153.01 (step @p1138 :rule cong :premises (@p1741) :args (@t662)) % 152.12/153.01 (step-pop @p1743 :rule scope :premises (@p1138)) % 152.12/153.01 (step @p1139 :rule process_scope :premises (@p1743) :args (@t752)) % 152.12/153.01 (step @p1141 :rule modus_ponens :premises (@p1741 @p1139)) % 152.12/153.01 (step-pop @p1744 :rule scope :premises (@p1141)) % 152.12/153.01 (step @p1142 :rule process_scope :premises (@p1744) :args (@t752)) % 152.12/153.01 (step @p1144 :rule implies_elim :premises (@p1142)) % 152.12/153.01 (step @p1145 :rule arith_poly_norm :args ((= @t754 @t753))) % 152.12/153.01 (step @p1146 :rule arith_poly_norm :args ((= @t88 @t754))) % 152.12/153.01 (step @p1147 :rule trans :premises (@p1146 @p1145)) % 152.12/153.01 (step @p1148 :rule refl :args (@t89)) % 152.12/153.01 (step @p1149 :rule cong :premises (@p1148 @p1147) :args (@t90)) % 152.12/153.01 (step @p1150 :rule cong :premises (@p1149) :args (@t92)) % 152.12/153.01 (step @p1151 :rule and_elim :premises (@p63) :args (1)) % 152.12/153.01 (step @p1152 :rule eq_resolve :premises (@p1151 @p1150)) % 152.12/153.01 (step @p1153 :rule arith_poly_norm :args ((= (* 1 (- @t751 @t758)) (* -1 @t757)))) % 152.12/153.01 (step @p1154 :rule arith_poly_norm_rel :premises (@p1153) :args ((= @t760 @t759))) % 152.12/153.01 (step @p1155 :rule refl :args (@t761)) % 152.12/153.01 (step @p1156 :rule cong :premises (@p1155 @p1154) :args ((=> @t761 @t760))) % 152.12/153.01 (assume-push @p1745 @t761) % 152.12/153.01 (step @p1158 :rule instantiate :premises (@p1152) :args (@t762)) % 152.12/153.01 (step-pop @p1746 :rule scope :premises (@p1158)) % 152.12/153.01 (step @p1159 :rule process_scope :premises (@p1746) :args (@t760)) % 152.12/153.01 (step @p1161 :rule eq_resolve :premises (@p1159 @p1156)) % 152.12/153.01 (step @p1162 :rule implies_elim :premises (@p1161)) % 152.12/153.01 (step @p1163 :rule chain_m_resolution :premises (@p1162 @p1152) :args (@t759 @t702 (@list @t761))) % 152.12/153.01 (step @p1164 :rule bool-double-not-elim :args (@t765)) % 152.12/153.01 (step @p1165 :rule refl :args (@t766)) % 152.12/153.01 (step @p1166 :rule refl :args (@t767)) % 152.12/153.01 (step @p1167 :rule nary_cong :premises (@p1166 @p1105 @p1106 @p1165 @p1164) :args ((or @t767 @t738 @t742 @t766 (not @t768)))) % 152.12/153.01 (assume-push @p1747 @t752) % 152.12/153.01 (assume-push @p1748 @t737) % 152.12/153.01 (assume-push @p1749 @t741) % 152.12/153.01 (assume-push @p1750 @t759) % 152.12/153.01 (assume-push @p1751 @t768) % 152.12/153.01 (step @p1173 :rule evaluate :args (@t769)) % 152.12/153.01 (step @p1174 :rule evaluate :args ((+ 0 0 -1 0 1))) % 152.12/153.01 (step @p1175 :rule nary_cong :premises (@p730 @p730 @p228 @p231 @p224) :args (@t770)) % 152.12/153.01 (step @p1176 :rule trans :premises (@p1175 @p1174)) % 152.12/153.01 (step @p1177 :rule arith_poly_norm :args ((= (+ 0 @t735 @t740 @t755 @t771 @t763 @t662 @t656 @t678 0) 0))) % 152.12/153.01 (step @p1178 :rule arith_poly_norm :args (@t773)) % 152.12/153.01 (step @p1179 :rule refl :args (@t678)) % 152.12/153.01 (step @p1180 :rule refl :args (@t656)) % 152.12/153.01 (step @p1181 :rule refl :args (@t662)) % 152.12/153.01 (step @p1182 :rule refl :args (@t763)) % 152.12/153.01 (step @p1183 :rule refl :args (@t771)) % 152.12/153.01 (step @p1184 :rule refl :args (@t755)) % 152.12/153.01 (step @p1185 :rule refl :args (@t740)) % 152.12/153.01 (step @p1186 :rule refl :args (@t735)) % 152.12/153.01 (step @p1187 :rule arith_poly_norm :args (@t775)) % 152.12/153.01 (step @p1188 :rule nary_cong :premises (@p1187 @p1186 @p1185 @p1184 @p1183 @p1182 @p1181 @p1180 @p1179 @p1178) :args (@t776)) % 152.12/153.01 (step @p1189 :rule trans :premises (@p1188 @p1177)) % 152.12/153.01 (step @p1190 :rule arith_poly_norm :args ((= @t783 @t776))) % 152.12/153.01 (step @p1191 :rule trans :premises (@p1190 @p1189)) % 152.12/153.01 (step @p1192 :rule cong :premises (@p1191 @p1176) :args (@t784)) % 152.12/153.01 (step @p1193 :rule trans :premises (@p1192 @p1173)) % 152.12/153.01 (step @p1194 :rule cong :premises (@p1193) :args ((not @t784))) % 152.12/153.01 (step @p1195 :rule trans :premises (@p1194 @p373)) % 152.12/153.01 (step @p1196 :rule arith-elim-lt :args (@t783 @t770)) % 152.12/153.01 (step @p1197 :rule trans :premises (@p1196 @p1195)) % 152.12/153.01 (step @p1198 :rule arith_mult_neg :args (-1 @t785)) % 152.12/153.01 (step @p1199 :rule arith_poly_norm :args (@t786)) % 152.12/153.01 (step @p1200 :rule arith_poly_norm_rel :premises (@p1199) :args (@t787)) % 152.12/153.01 (step @p1201 :rule symm :premises (@p1200)) % 152.12/153.01 (step @p1202 :rule eq_resolve :premises (@p1163 @p1201)) % 152.12/153.01 (step @p1203 :rule evaluate :args (@t788)) % 152.12/153.01 (step @p1204 :rule true_elim :premises (@p1203)) % 152.12/153.01 (step @p1205 :rule and_intro :premises (@p1204 @p1202)) % 152.12/153.01 (step @p1206 :rule modus_ponens :premises (@p1205 @p1198)) % 152.12/153.01 (step @p1207 :rule arith_mult_neg :args (-1 @t789)) % 152.12/153.01 (step @p1208 :rule arith_poly_norm :args (@t790)) % 152.12/153.01 (step @p1209 :rule arith_poly_norm_rel :premises (@p1208) :args (@t791)) % 152.12/153.01 (step @p1210 :rule symm :premises (@p1209)) % 152.12/153.01 (step @p1211 :rule eq_resolve :premises (@p1749 @p1210)) % 152.12/153.01 (step @p1212 :rule and_intro :premises (@p1204 @p1211)) % 152.12/153.01 (step @p1213 :rule modus_ponens :premises (@p1212 @p1207)) % 152.12/153.01 (step @p1214 :rule arith_mult_neg :args (-1 @t792)) % 152.12/153.01 (step @p1215 :rule arith_poly_norm :args (@t793)) % 152.12/153.01 (step @p1216 :rule arith_poly_norm_rel :premises (@p1215) :args (@t794)) % 152.12/153.01 (step @p1217 :rule symm :premises (@p1216)) % 152.12/153.01 (step @p1218 :rule eq_resolve :premises (@p1748 @p1217)) % 152.12/153.01 (step @p1219 :rule and_intro :premises (@p1204 @p1218)) % 152.12/153.01 (step @p1220 :rule modus_ponens :premises (@p1219 @p1214)) % 152.12/153.01 (step @p1221 :rule arith_poly_norm :args (@t795)) % 152.12/153.01 (step @p1222 :rule arith_poly_norm_rel :premises (@p1221) :args (@t797)) % 152.12/153.01 (step @p1223 :rule symm :premises (@p1222)) % 152.12/153.01 (step @p1224 :rule eq_resolve :premises (@p1747 @p1223)) % 152.12/153.01 (step @p1225 :rule arith-elim-lt :args (@t764 0)) % 152.12/153.01 (step @p1226 :rule symm :premises (@p1225)) % 152.12/153.01 (step @p1227 :rule eq_resolve :premises (@p1751 @p1226)) % 152.12/153.01 (step @p1228 :rule arith_sum_ub :premises (@p1227 @p1224 @p1220 @p1213 @p1206)) % 152.12/153.01 (step @p1229 false :rule eq_resolve :premises (@p1228 @p1197)) % 152.12/153.01 (step-pop @p1752 :rule scope :premises (@p1229)) % 152.12/153.01 (step-pop @p1753 :rule scope :premises (@p1752)) % 152.12/153.01 (step-pop @p1754 :rule scope :premises (@p1753)) % 152.12/153.01 (step-pop @p1755 :rule scope :premises (@p1754)) % 152.12/153.01 (step-pop @p1756 :rule scope :premises (@p1755)) % 152.12/153.01 (step @p1230 :rule process_scope :premises (@p1756) :args (false)) % 152.12/153.01 (step @p1236 :rule not_and :premises (@p1230)) % 152.12/153.01 (step @p1237 :rule eq_resolve :premises (@p1236 @p1167)) % 152.12/153.01 (step @p1238 :rule reordering :premises (@p1237) :args ((or @t742 @t738 @t766 @t767 @t765))) % 152.12/153.01 (assume-push @p1757 @t752) % 152.12/153.01 (assume-push @p1758 @t737) % 152.12/153.01 (assume-push @p1759 @t741) % 152.12/153.01 (assume-push @p1760 @t759) % 152.12/153.01 (assume-push @p1761 @t798) % 152.12/153.01 (step @p1244 :rule evaluate :args (@t799)) % 152.12/153.01 (step @p1245 :rule evaluate :args ((+ -1 0 1 0 -1))) % 152.12/153.01 (step @p1246 :rule refl :args (-1)) % 152.12/153.01 (step @p1247 :rule nary_cong :premises (@p228 @p231 @p308 @p730 @p1246) :args (@t800)) % 152.12/153.01 (step @p1248 :rule trans :premises (@p1247 @p1245)) % 152.12/153.01 (step @p1249 :rule arith_poly_norm :args ((= (+ 0 @t755 @t771 @t735 @t740 @t662 @t763 @t678 @t656 0) 0))) % 152.12/153.01 (step @p1178 :rule arith_poly_norm :args (@t773)) % 152.12/153.01 (step @p1180 :rule refl :args (@t656)) % 152.12/153.01 (step @p1179 :rule refl :args (@t678)) % 152.12/153.01 (step @p1182 :rule refl :args (@t763)) % 152.12/153.01 (step @p1181 :rule refl :args (@t662)) % 152.12/153.01 (step @p1185 :rule refl :args (@t740)) % 152.12/153.01 (step @p1186 :rule refl :args (@t735)) % 152.12/153.01 (step @p1183 :rule refl :args (@t771)) % 152.12/153.01 (step @p1184 :rule refl :args (@t755)) % 152.12/153.01 (step @p1187 :rule arith_poly_norm :args (@t775)) % 152.12/153.01 (step @p1250 :rule nary_cong :premises (@p1187 @p1184 @p1183 @p1186 @p1185 @p1181 @p1182 @p1179 @p1180 @p1178) :args (@t801)) % 152.12/153.01 (step @p1251 :rule trans :premises (@p1250 @p1249)) % 152.12/153.01 (step @p1252 :rule arith_poly_norm :args ((= @t803 @t801))) % 152.12/153.01 (step @p1253 :rule trans :premises (@p1252 @p1251)) % 152.12/153.01 (step @p1254 :rule cong :premises (@p1253 @p1248) :args ((<= @t803 @t800))) % 152.12/153.01 (step @p1255 :rule trans :premises (@p1254 @p1244)) % 152.12/153.01 (step @p1199 :rule arith_poly_norm :args (@t786)) % 152.12/153.01 (step @p1200 :rule arith_poly_norm_rel :premises (@p1199) :args (@t787)) % 152.12/153.01 (step @p1201 :rule symm :premises (@p1200)) % 152.12/153.01 (step @p1202 :rule eq_resolve :premises (@p1163 @p1201)) % 152.12/153.01 (step @p1208 :rule arith_poly_norm :args (@t790)) % 152.12/153.01 (step @p1209 :rule arith_poly_norm_rel :premises (@p1208) :args (@t791)) % 152.12/153.01 (step @p1210 :rule symm :premises (@p1209)) % 152.12/153.01 (step @p1256 :rule eq_resolve :premises (@p1759 @p1210)) % 152.12/153.01 (step @p1215 :rule arith_poly_norm :args (@t793)) % 152.12/153.01 (step @p1216 :rule arith_poly_norm_rel :premises (@p1215) :args (@t794)) % 152.12/153.01 (step @p1217 :rule symm :premises (@p1216)) % 152.12/153.01 (step @p1257 :rule eq_resolve :premises (@p1758 @p1217)) % 152.12/153.01 (step @p1258 :rule arith_mult_neg :args (-1 @t796)) % 152.12/153.01 (step @p1221 :rule arith_poly_norm :args (@t795)) % 152.12/153.01 (step @p1222 :rule arith_poly_norm_rel :premises (@p1221) :args (@t797)) % 152.12/153.01 (step @p1223 :rule symm :premises (@p1222)) % 152.12/153.01 (step @p1259 :rule eq_resolve :premises (@p1757 @p1223)) % 152.12/153.01 (step @p1203 :rule evaluate :args (@t788)) % 152.12/153.01 (step @p1204 :rule true_elim :premises (@p1203)) % 152.12/153.01 (step @p1260 :rule and_intro :premises (@p1204 @p1259)) % 152.12/153.01 (step @p1261 :rule modus_ponens :premises (@p1260 @p1258)) % 152.12/153.01 (step @p1262 :rule arith_mult_neg :args (-1 @t798)) % 152.12/153.01 (step @p1263 :rule and_intro :premises (@p1204 @p1761)) % 152.12/153.01 (step @p1264 :rule modus_ponens :premises (@p1263 @p1262)) % 152.12/153.01 (step @p1265 :rule arith_sum_ub :premises (@p1264 @p1261 @p1257 @p1256 @p1202)) % 152.12/153.01 (step @p1266 false :rule eq_resolve :premises (@p1265 @p1255)) % 152.12/153.01 (step-pop @p1762 :rule scope :premises (@p1266)) % 152.12/153.01 (step-pop @p1763 :rule scope :premises (@p1762)) % 152.12/153.01 (step-pop @p1764 :rule scope :premises (@p1763)) % 152.12/153.01 (step-pop @p1765 :rule scope :premises (@p1764)) % 152.12/153.01 (step-pop @p1766 :rule scope :premises (@p1765)) % 152.12/153.01 (step @p1267 :rule process_scope :premises (@p1766) :args (false)) % 152.12/153.01 (step @p1273 :rule not_and :premises (@p1267)) % 152.12/153.01 (step @p1274 :rule reordering :premises (@p1273) :args ((or @t742 @t738 @t766 @t767 @t804))) % 152.12/153.01 (step @p1275 :rule refl :args (@t768)) % 152.12/153.01 (step @p1276 :rule bool-double-not-elim :args (@t798)) % 152.12/153.01 (step @p1277 :rule bool-double-not-elim :args (@t663)) % 152.12/153.01 (step @p1278 :rule nary_cong :premises (@p1277 @p1276 @p1275) :args ((or (not @t806) @t805 @t768))) % 152.12/153.01 (assume-push @p1767 @t804) % 152.12/153.01 (assume-push @p1768 @t806) % 152.12/153.01 (assume-push @p1769 @t765) % 152.12/153.01 (step @p1282 :rule evaluate :args (@t807)) % 152.12/153.01 (step @p1283 :rule refl :args (@t764)) % 152.12/153.01 (step @p1284 :rule cong :premises (@p1283 @p1282) :args (@t808)) % 152.12/153.01 (step @p1285 :rule cong :premises (@p1284) :args ((not @t808))) % 152.12/153.01 (step @p1286 :rule arith-leq-norm :args (@t764 0)) % 152.12/153.01 (step @p1287 :rule trans :premises (@p1286 @p1285)) % 152.12/153.01 (step @p1288 :rule cong :premises (@p1287) :args ((not (<= @t764 0)))) % 152.12/153.01 (step @p1289 :rule trans :premises (@p1288 @p1276)) % 152.12/153.01 (step @p1290 :rule arith-elim-leq :args (@t764 0)) % 152.12/153.01 (step @p1291 :rule symm :premises (@p1290)) % 152.12/153.01 (step @p1292 :rule cong :premises (@p1291) :args ((not (>= 0 @t764)))) % 152.12/153.01 (step @p1293 :rule arith-elim-gt :args (@t764 0)) % 152.12/153.01 (step @p1294 :rule trans :premises (@p1293 @p1292)) % 152.12/153.01 (step @p1295 :rule trans :premises (@p1294 @p1289)) % 152.12/153.01 (step @p1296 :rule cong :premises (@p1295) :args ((not (> @t764 0)))) % 152.12/153.01 (step @p1297 :rule symm :premises (@p1296)) % 152.12/153.01 (step @p1298 :rule trans :premises (@p1287 @p1297)) % 152.12/153.01 (step @p1299 :rule arith-elim-lt :args (@t764 1)) % 152.12/153.01 (step @p1300 :rule symm :premises (@p1299)) % 152.12/153.01 (step @p1301 :rule eq_resolve :premises (@p1767 @p1300)) % 152.12/153.01 (step @p1302 :rule int_tight_ub :premises (@p1301)) % 152.12/153.01 (step @p1303 :rule eq_resolve :premises (@p1302 @p1298)) % 152.12/153.01 (step @p1304 :rule arith_poly_norm :args (@t809)) % 152.12/153.01 (step @p1305 :rule arith_poly_norm_rel :premises (@p1304) :args (@t811)) % 152.12/153.01 (step @p1306 :rule cong :premises (@p1305) :args ((not @t810))) % 152.12/153.01 (step @p1307 :rule symm :premises (@p1306)) % 152.12/153.01 (step @p1308 :rule eq_resolve :premises (@p1768 @p1307)) % 152.12/153.01 (step @p1309 :rule arith_trichotomy :premises (@p1308 @p1769)) % 152.12/153.01 (step @p1310 false :rule contra :premises (@p1309 @p1303)) % 152.12/153.01 (step-pop @p1770 :rule scope :premises (@p1310)) % 152.12/153.01 (step-pop @p1771 :rule scope :premises (@p1770)) % 152.12/153.01 (step-pop @p1772 :rule scope :premises (@p1771)) % 152.12/153.01 (step @p1311 :rule process_scope :premises (@p1772) :args (false)) % 152.12/153.01 (assume-push @p1773 @t806) % 152.12/153.01 (assume-push @p1774 @t804) % 152.12/153.01 (assume-push @p1775 @t765) % 152.12/153.01 (step @p1318 :rule and_intro :premises (@p1774 @p1773 @p1775)) % 152.12/153.01 (step-pop @p1776 :rule scope :premises (@p1318)) % 152.12/153.01 (step-pop @p1777 :rule scope :premises (@p1776)) % 152.12/153.01 (step-pop @p1778 :rule scope :premises (@p1777)) % 152.12/153.01 (step @p1319 :rule process_scope :premises (@p1778) :args (@t812)) % 152.12/153.01 (step @p1323 :rule implies_elim :premises (@p1319)) % 152.12/153.01 (step @p1324 :rule resolution :premises (@p1323 @p1311) :args (true @t812)) % 152.12/153.01 (step @p1325 :rule not_and :premises (@p1324)) % 152.12/153.01 (step @p1326 :rule eq_resolve :premises (@p1325 @p1278)) % 152.12/153.01 (step @p1327 :rule chain_m_resolution :premises (@p1326 @p1274 @p1163 @p1238 @p1163 @p1144 @p1135 @p1130 @p1125 @p1119 @p1101 @p1099 @p1075 @p1073 @p1009 @p1007 @p982) :args (@t663 (@list true false false false false false false false true true false false false true false true) (@list @t798 @t759 @t765 @t759 @t752 @t737 @t741 @t744 @t746 @t726 @t732 @t723 @t724 @t698 @t701 @t691))) % 152.12/153.01 (assume-push @p1779 @t663) % 152.12/153.01 (assume-push @p1780 @t663) % 152.12/153.01 (step @p1299 :rule arith-elim-lt :args (@t764 1)) % 152.12/153.01 (step @p1300 :rule symm :premises (@p1299)) % 152.12/153.01 (assume-push @p1781 @t798) % 152.12/153.01 (step @p1244 :rule evaluate :args (@t799)) % 152.12/153.01 (step @p1331 :rule evaluate :args (@t813)) % 152.12/153.01 (step @p1332 :rule nary_cong :premises (@p228 @p730) :args (@t814)) % 152.12/153.01 (step @p1333 :rule trans :premises (@p1332 @p1331)) % 152.12/153.01 (step @p1334 :rule evaluate :args (@t815)) % 152.12/153.01 (step @p1178 :rule arith_poly_norm :args (@t773)) % 152.12/153.01 (step @p1335 :rule arith_poly_norm :args ((= @t816 0))) % 152.12/153.01 (step @p1336 :rule nary_cong :premises (@p1335 @p1178) :args (@t817)) % 152.12/153.01 (step @p1337 :rule trans :premises (@p1336 @p1334)) % 152.12/153.01 (step @p1338 :rule arith_poly_norm :args ((= @t818 @t817))) % 152.12/153.01 (step @p1339 :rule trans :premises (@p1338 @p1337)) % 152.12/153.01 (step @p1340 :rule cong :premises (@p1339 @p1333) :args ((<= @t818 @t814))) % 152.12/153.01 (step @p1341 :rule trans :premises (@p1340 @p1244)) % 152.12/153.01 (step @p1304 :rule arith_poly_norm :args (@t809)) % 152.12/153.01 (step @p1305 :rule arith_poly_norm_rel :premises (@p1304) :args (@t811)) % 152.12/153.01 (step @p1342 :rule symm :premises (@p1305)) % 152.12/153.01 (step @p1343 :rule eq_resolve :premises (@p1779 @p1342)) % 152.12/153.01 (step @p1262 :rule arith_mult_neg :args (-1 @t798)) % 152.12/153.01 (step @p1203 :rule evaluate :args (@t788)) % 152.12/153.01 (step @p1204 :rule true_elim :premises (@p1203)) % 152.12/153.01 (step @p1344 :rule and_intro :premises (@p1204 @p1781)) % 152.12/153.01 (step @p1345 :rule modus_ponens :premises (@p1344 @p1262)) % 152.12/153.01 (step @p1346 :rule arith_sum_ub :premises (@p1345 @p1343)) % 152.12/153.01 (step @p1347 false :rule eq_resolve :premises (@p1346 @p1341)) % 152.12/153.01 (step-pop @p1782 :rule scope :premises (@p1347)) % 152.12/153.01 (step @p1348 :rule process_scope :premises (@p1782) :args (false)) % 152.12/153.01 (step @p1350 :rule eq_resolve :premises (@p1348 @p1300)) % 152.12/153.01 (step @p1351 :rule eq_resolve :premises (@p1350 @p1299)) % 152.12/153.01 (step-pop @p1783 :rule scope :premises (@p1351)) % 152.12/153.01 (step @p1352 :rule process_scope :premises (@p1783) :args (@t804)) % 152.12/153.01 (step @p1354 :rule modus_ponens :premises (@p1779 @p1352)) % 152.12/153.01 (step-pop @p1784 :rule scope :premises (@p1354)) % 152.12/153.01 (step @p1355 :rule process_scope :premises (@p1784) :args (@t804)) % 152.12/153.01 (step @p1357 :rule implies_elim :premises (@p1355)) % 152.12/153.01 (step @p1358 :rule chain_m_resolution :premises (@p1357 @p1327) :args (@t804 @t702 (@list @t663))) % 152.12/153.01 (step @p1359 :rule bool-impl-elim :args (@t819 @t822)) % 152.12/153.01 (step @p1360 :rule cong :premises (@p1359) :args ((forall @t95 (=> @t819 @t822)))) % 152.12/153.01 (step @p1361 :rule bool-and-de-morgan :args (@t100 @t821 true)) % 152.12/153.01 (step @p1362 :rule cong :premises (@p1361) :args (@t824)) % 152.12/153.01 (step @p1363 :rule cong :premises (@p1362) :args (@t825)) % 152.12/153.01 (step @p1364 :rule exists-elim :args ((= (exists @t102 @t823) @t825))) % 152.12/153.01 (step @p1365 :rule trans :premises (@p1364 @p1363)) % 152.12/153.01 (step @p1366 :rule bool-double-not-elim :args (@t821)) % 152.12/153.01 (step @p1367 :rule arith_poly_norm :args ((= (* -1 (- 1 @t826)) (* -1 (- @t97 @t94))))) % 152.12/153.01 (step @p1368 :rule arith_poly_norm_rel :premises (@p1367) :args ((= (>= 1 @t826) @t827))) % 152.12/153.01 (step @p1369 :rule arith-geq-tighten :args (@t820 1)) % 152.12/153.01 (step @p1370 :rule trans :premises (@p1369 @p1368)) % 152.12/153.01 (step @p1371 :rule symm :premises (@p1370)) % 152.12/153.01 (step @p1372 :rule cong :premises (@p1371) :args ((not @t827))) % 152.12/153.01 (step @p1373 :rule trans :premises (@p1372 @p1366)) % 152.12/153.01 (step @p1374 :rule arith-elim-lt :args (@t97 @t94)) % 152.12/153.01 (step @p1375 :rule trans :premises (@p1374 @p1373)) % 152.12/153.01 (step @p1376 :rule nary_cong :premises (@p716 @p1375) :args (@t101)) % 152.12/153.01 (step @p1377 :rule cong :premises (@p1376) :args (@t103)) % 152.12/153.01 (step @p1378 :rule trans :premises (@p1377 @p1365)) % 152.12/153.01 (step @p1379 :rule bool-double-not-elim :args (@t819)) % 152.12/153.01 (step @p1380 :rule arith_poly_norm :args ((= (* -1 (- 1 @t828)) (* -1 (- 0 @t94))))) % 152.12/153.01 (step @p1381 :rule arith_poly_norm_rel :premises (@p1380) :args ((= (>= 1 @t828) @t829))) % 152.12/153.01 (step @p1382 :rule arith-geq-tighten :args (@t94 1)) % 152.12/153.01 (step @p1383 :rule trans :premises (@p1382 @p1381)) % 152.12/153.01 (step @p1384 :rule symm :premises (@p1383)) % 152.12/153.01 (step @p1385 :rule cong :premises (@p1384) :args ((not @t829))) % 152.12/153.01 (step @p1386 :rule trans :premises (@p1385 @p1379)) % 152.12/153.01 (step @p1387 :rule arith-elim-lt :args (0 @t94)) % 152.12/153.01 (step @p1388 :rule trans :premises (@p1387 @p1386)) % 152.12/153.01 (step @p1389 :rule cong :premises (@p1388 @p1378) :args (@t104)) % 152.12/153.01 (step @p1390 :rule cong :premises (@p1389) :args (@t105)) % 152.12/153.01 (step @p1391 :rule trans :premises (@p1390 @p1360)) % 152.12/153.01 (step @p1392 :rule eq_resolve :premises (@p65 @p1391)) % 152.12/153.01 (step @p1393 :rule bool-double-not-elim :args (@t831)) % 152.12/153.01 (step @p1394 :rule arith_poly_norm :args ((= (* -1 (- 0 @t833)) (* -1 (- @t832 1))))) % 152.12/153.01 (step @p1395 :rule arith_poly_norm_rel :premises (@p1394) :args ((= (>= 0 @t833) (>= @t832 1)))) % 152.12/153.01 (step @p1396 :rule arith-geq-tighten :args (@t830 0)) % 152.12/153.01 (step @p1397 :rule trans :premises (@p1396 @p1395)) % 152.12/153.01 (step @p1398 :rule symm :premises (@p1397)) % 152.12/153.01 (step @p1399 :rule arith_poly_norm :args ((= @t834 @t832))) % 152.12/153.01 (step @p1400 :rule cong :premises (@p1399 @p308) :args (@t835)) % 152.12/153.01 (step @p1401 :rule trans :premises (@p1400 @p1398)) % 152.12/153.01 (step @p1402 :rule cong :premises (@p1401) :args (@t836)) % 152.12/153.01 (step @p1403 :rule trans :premises (@p1402 @p1393)) % 152.12/153.01 (step @p1404 :rule nary_cong :premises (@p991 @p1403) :args (@t837)) % 152.12/153.01 (step @p1405 :rule cong :premises (@p1404) :args (@t838)) % 152.12/153.01 (step @p1406 :rule cong :premises (@p1405) :args (@t839)) % 152.12/153.01 (step @p1407 :rule refl :args (@t841)) % 152.12/153.01 (step @p1408 :rule nary_cong :premises (@p1407 @p1406) :args (@t842)) % 152.12/153.01 (step @p1409 :rule refl :args (@t843)) % 152.12/153.01 (step @p1410 :rule cong :premises (@p1409 @p1408) :args ((=> @t843 @t842))) % 152.12/153.01 (assume-push @p1785 @t843) % 152.12/153.01 (step @p1412 :rule instantiate :premises (@p1392) :args (@t700)) % 152.12/153.01 (step-pop @p1786 :rule scope :premises (@p1412)) % 152.12/153.01 (step @p1413 :rule process_scope :premises (@p1786) :args (@t842)) % 152.12/153.01 (step @p1415 :rule eq_resolve :premises (@p1413 @p1410)) % 152.12/153.01 (step @p1416 :rule implies_elim :premises (@p1415)) % 152.12/153.01 (step @p1417 :rule chain_m_resolution :premises (@p1416 @p1392) :args (@t846 @t702 (@list @t843))) % 152.12/153.01 (step @p1418 :rule cnf_or_neg :args (@t686 13)) % 152.12/153.01 (step @p1419 :rule chain_m_resolution :premises (@p1418 @p973) :args ((not @t664) @t687 @t688)) % 152.12/153.01 (step @p1420 :rule bool-double-not-elim :args (@t660)) % 152.12/153.01 (step @p1421 :rule refl :args (@t806)) % 152.12/153.01 (step @p1422 :rule refl :args (@t664)) % 152.12/153.01 (step @p1423 :rule nary_cong :premises (@p1422 @p1421 @p1420) :args ((or @t664 @t806 (not @t661)))) % 152.12/153.01 (step @p1424 :rule cnf_and_neg :args (@t664)) % 152.12/153.01 (step @p1425 :rule eq_resolve :premises (@p1424 @p1423)) % 152.12/153.01 (step @p1426 :rule reordering :premises (@p1425) :args ((or @t660 @t664 @t806))) % 152.12/153.01 (step @p1427 :rule chain_m_resolution :premises (@p1426 @p1419 @p1327) :args (@t660 @t847 (@list @t664 @t663))) % 152.12/153.01 (step @p1428 :rule refl :args (@t853)) % 152.12/153.01 (step @p1429 :rule eq-symm :args (@t855 @t658)) % 152.12/153.01 (step @p1430 :rule cong :premises (@p1429) :args (@t856)) % 152.12/153.01 (step @p1431 :rule nary_cong :premises (@p1430 @p1428) :args (@t857)) % 152.12/153.01 (step @p1432 :rule refl :args (@t660)) % 152.12/153.01 (step @p1433 :rule cong :premises (@p1432 @p1431) :args ((=> @t660 @t857))) % 152.12/153.01 (assume-push @p1787 @t660) % 152.12/153.01 (step @p1435 :rule instantiate :premises (@p1787) :args (@t858)) % 152.12/153.01 (step-pop @p1788 :rule scope :premises (@p1435)) % 152.12/153.01 (step @p1436 :rule process_scope :premises (@p1788) :args (@t857)) % 152.12/153.01 (step @p1438 :rule eq_resolve :premises (@p1436 @p1433)) % 152.12/153.01 (step @p1439 :rule implies_elim :premises (@p1438)) % 152.12/153.01 (step @p1440 :rule chain_m_resolution :premises (@p1439 @p1427) :args (@t861 @t702 @t862)) % 152.12/153.01 (step @p1441 :rule cnf_or_pos :args (@t861)) % 152.12/153.01 (step @p1442 :rule reordering :premises (@p1441) :args ((or @t860 @t853 (not @t861)))) % 152.12/153.01 (step @p1443 :rule eq-symm :args (@t82 @t78)) % 152.12/153.01 (step @p1444 :rule cong :premises (@p1443) :args (@t84)) % 152.12/153.01 (step @p1445 :rule eq_resolve :premises (@p60 @p1444)) % 152.12/153.01 (step @p1446 :rule instantiate :premises (@p1445) :args (@t858)) % 152.12/153.01 (step @p1447 :rule refl :args (@t864)) % 152.12/153.01 (step @p1448 :rule nary_cong :premises (@p1108 @p1447) :args (@t865)) % 152.12/153.01 (step @p1449 :rule cong :premises (@p1432 @p1448) :args ((=> @t660 @t865))) % 152.12/153.01 (assume-push @p1789 @t660) % 152.12/153.01 (step @p1451 :rule instantiate :premises (@p1789) :args (@t762)) % 152.12/153.01 (step-pop @p1790 :rule scope :premises (@p1451)) % 152.12/153.01 (step @p1452 :rule process_scope :premises (@p1790) :args (@t865)) % 152.12/153.01 (step @p1454 :rule eq_resolve :premises (@p1452 @p1449)) % 152.12/153.01 (step @p1455 :rule implies_elim :premises (@p1454)) % 152.12/153.01 (step @p1456 :rule chain_m_resolution :premises (@p1455 @p1427) :args (@t866 @t702 @t862)) % 152.12/153.01 (step @p1457 :rule cnf_or_pos :args (@t866)) % 152.12/153.01 (step @p1458 :rule reordering :premises (@p1457) :args ((or @t745 @t864 (not @t866)))) % 152.12/153.01 (step @p1459 :rule bool-double-not-elim :args (@t863)) % 152.12/153.01 (step @p1460 :rule nary_cong :premises (@p1106 @p1459) :args ((or @t742 (not @t864)))) % 152.12/153.01 (assume-push @p1791 @t864) % 152.12/153.01 (assume-push @p1792 @t741) % 152.12/153.01 (step @p1463 :rule evaluate :args (@t867)) % 152.12/153.01 (step @p1464 :rule refl :args (@t779)) % 152.12/153.01 (step @p1465 :rule cong :premises (@p1464 @p1463) :args (@t868)) % 152.12/153.01 (step @p1466 :rule cong :premises (@p1465) :args ((not @t868))) % 152.12/153.01 (step @p1467 :rule arith-leq-norm :args (@t779 -1)) % 152.12/153.01 (step @p1468 :rule trans :premises (@p1467 @p1466)) % 152.12/153.01 (step @p1469 :rule cong :premises (@p1468) :args ((not @t869))) % 152.12/153.01 (step @p1470 :rule trans :premises (@p1469 @p1459)) % 152.12/153.01 (step @p1471 :rule arith-elim-leq :args (@t779 -1)) % 152.12/153.01 (step @p1472 :rule symm :premises (@p1471)) % 152.12/153.01 (step @p1473 :rule cong :premises (@p1472) :args ((not (>= -1 @t779)))) % 152.12/153.01 (step @p1474 :rule arith-elim-gt :args (@t779 -1)) % 152.12/153.01 (step @p1475 :rule trans :premises (@p1474 @p1473)) % 152.12/153.01 (step @p1476 :rule trans :premises (@p1475 @p1470)) % 152.12/153.01 (step @p1477 :rule cong :premises (@p1476) :args ((not (> @t779 -1)))) % 152.12/153.01 (step @p1478 :rule symm :premises (@p1477)) % 152.12/153.01 (step @p1479 :rule trans :premises (@p1468 @p1478)) % 152.12/153.01 (step @p1480 :rule arith-elim-lt :args (@t779 0)) % 152.12/153.01 (step @p1481 :rule symm :premises (@p1480)) % 152.12/153.01 (step @p1482 :rule eq_resolve :premises (@p1791 @p1481)) % 152.12/153.01 (step @p1483 :rule int_tight_ub :premises (@p1482)) % 152.12/153.01 (step @p1484 :rule eq_resolve :premises (@p1483 @p1479)) % 152.12/153.01 (step @p1485 :rule symm :premises (@p1476)) % 152.12/153.01 (step @p1486 :rule trans :premises (@p1470 @p1485)) % 152.12/153.01 (assume-push @p1793 @t869) % 152.12/153.01 (step @p1244 :rule evaluate :args (@t799)) % 152.12/153.01 (step @p1331 :rule evaluate :args (@t813)) % 152.12/153.01 (step @p1246 :rule refl :args (-1)) % 152.12/153.01 (step @p1488 :rule nary_cong :premises (@p1246 @p231) :args (@t870)) % 152.12/153.01 (step @p1489 :rule trans :premises (@p1488 @p1331)) % 152.12/153.01 (step @p1334 :rule evaluate :args (@t815)) % 152.12/153.01 (step @p1490 :rule arith_poly_norm :args (@t872)) % 152.12/153.01 (step @p1491 :rule arith_poly_norm :args ((= @t873 0))) % 152.12/153.01 (step @p1492 :rule nary_cong :premises (@p1491 @p1490) :args (@t874)) % 152.12/153.01 (step @p1493 :rule trans :premises (@p1492 @p1334)) % 152.12/153.01 (step @p1494 :rule arith_poly_norm :args ((= @t875 @t874))) % 152.12/153.01 (step @p1495 :rule trans :premises (@p1494 @p1493)) % 152.12/153.01 (step @p1496 :rule cong :premises (@p1495 @p1489) :args ((<= @t875 @t870))) % 152.12/153.01 (step @p1497 :rule trans :premises (@p1496 @p1244)) % 152.12/153.01 (step @p1207 :rule arith_mult_neg :args (-1 @t789)) % 152.12/153.01 (step @p1208 :rule arith_poly_norm :args (@t790)) % 152.12/153.01 (step @p1209 :rule arith_poly_norm_rel :premises (@p1208) :args (@t791)) % 152.12/153.01 (step @p1210 :rule symm :premises (@p1209)) % 152.12/153.01 (step @p1498 :rule eq_resolve :premises (@p1792 @p1210)) % 152.12/153.01 (step @p1203 :rule evaluate :args (@t788)) % 152.12/153.01 (step @p1204 :rule true_elim :premises (@p1203)) % 152.12/153.01 (step @p1499 :rule and_intro :premises (@p1204 @p1498)) % 152.12/153.01 (step @p1500 :rule modus_ponens :premises (@p1499 @p1207)) % 152.12/153.01 (step @p1501 :rule arith_sum_ub :premises (@p1793 @p1500)) % 152.12/153.01 (step @p1502 false :rule eq_resolve :premises (@p1501 @p1497)) % 152.12/153.01 (step-pop @p1794 :rule scope :premises (@p1502)) % 152.12/153.01 (step @p1503 :rule process_scope :premises (@p1794) :args (false)) % 152.12/153.01 (step @p1505 :rule eq_resolve :premises (@p1503 @p1486)) % 152.12/153.01 (step @p1506 false :rule contra :premises (@p1505 @p1484)) % 152.12/153.01 (step-pop @p1795 :rule scope :premises (@p1506)) % 152.12/153.01 (step-pop @p1796 :rule scope :premises (@p1795)) % 152.12/153.01 (step @p1507 :rule process_scope :premises (@p1796) :args (false)) % 152.12/153.01 (assume-push @p1797 @t741) % 152.12/153.01 (assume-push @p1798 @t864) % 152.12/153.01 (step @p1512 :rule and_intro :premises (@p1798 @p1797)) % 152.12/153.01 (step-pop @p1799 :rule scope :premises (@p1512)) % 152.12/153.01 (step-pop @p1800 :rule scope :premises (@p1799)) % 152.12/153.01 (step @p1513 :rule process_scope :premises (@p1800) :args (@t876)) % 152.12/153.01 (step @p1516 :rule implies_elim :premises (@p1513)) % 152.12/153.01 (step @p1517 :rule resolution :premises (@p1516 @p1507) :args (true @t876)) % 152.12/153.01 (step @p1518 :rule not_and :premises (@p1517)) % 152.12/153.01 (step @p1519 :rule eq_resolve :premises (@p1518 @p1460)) % 152.12/153.01 (step @p1520 :rule chain_m_resolution :premises (@p1519 @p1458 @p1456 @p1130 @p1125) :args (@t746 (@list true false false false) (@list @t863 @t866 @t741 @t744))) % 152.12/153.01 (step @p1521 :rule chain_m_resolution :premises (@p1119 @p1520) :args (@t726 @t702 (@list @t746))) % 152.12/153.01 (step @p1522 :rule chain_m_resolution :premises (@p1101 @p1521 @p1099) :args (@t733 @t721 (@list @t726 @t732))) % 152.12/153.01 (step @p1523 :rule chain_m_resolution :premises (@p1075 @p1522 @p1073) :args (@t698 @t847 (@list @t723 @t724))) % 152.12/153.01 (step @p1524 :rule chain_m_resolution :premises (@p1009 @p1523 @p1007) :args (@t691 @t721 (@list @t698 @t701))) % 152.12/153.01 (step @p1525 :rule cnf_and_pos :args (@t691 1)) % 152.12/153.01 (step @p1526 :rule reordering :premises (@p1525) :args ((or @t690 @t692))) % 152.12/153.01 (step @p1527 :rule chain_m_resolution :premises (@p1526 @p1524) :args (@t690 @t702 (@list @t691))) % 152.12/153.01 (step @p1528 :rule refl :args (@t888)) % 152.12/153.01 (step @p1529 :rule bool-double-not-elim :args (@t689)) % 152.12/153.01 (step @p1530 :rule nary_cong :premises (@p1529 @p1528) :args ((or (not @t690) @t888))) % 152.12/153.01 (step @p1531 :rule refl :args (@t882)) % 152.12/153.01 (step @p1532 :rule eq-symm :args (@t884 @t658)) % 152.12/153.01 (step @p1533 :rule cong :premises (@p1532) :args (@t889)) % 152.12/153.01 (step @p1534 :rule nary_cong :premises (@p1533 @p1531) :args (@t890)) % 152.12/153.01 (step @p1535 :rule cong :premises (@p1534) :args (@t891)) % 152.12/153.01 (step @p1536 :rule refl :args (@t690)) % 152.12/153.01 (step @p1537 :rule cong :premises (@p1536 @p1535) :args ((=> @t690 @t891))) % 152.12/153.01 (assume-push @p1801 @t690) % 152.12/153.01 (step @p1539 :rule skolemize :premises (@p1801)) % 152.12/153.01 (step-pop @p1802 :rule scope :premises (@p1539)) % 152.12/153.01 (step @p1540 :rule process_scope :premises (@p1802) :args (@t891)) % 152.12/153.01 (step @p1542 :rule eq_resolve :premises (@p1540 @p1537)) % 152.12/153.01 (step @p1543 :rule implies_elim :premises (@p1542)) % 152.12/153.01 (step @p1544 :rule eq_resolve :premises (@p1543 @p1530)) % 152.12/153.01 (step @p1545 :rule chain_m_resolution :premises (@p1544 @p1527) :args (@t888 @t687 (@list @t689))) % 152.12/153.01 (step @p1546 :rule bool-double-not-elim :args (@t885)) % 152.12/153.01 (step @p1547 :rule refl :args (@t887)) % 152.12/153.01 (step @p1548 :rule nary_cong :premises (@p1547 @p1546) :args ((or @t887 (not @t886)))) % 152.12/153.01 (step @p1549 :rule cnf_or_neg :args (@t887 0)) % 152.12/153.01 (step @p1550 :rule eq_resolve :premises (@p1549 @p1548)) % 152.12/153.01 (step @p1551 :rule reordering :premises (@p1550) :args ((or @t885 @t887))) % 152.12/153.01 (step @p1552 :rule chain_m_resolution :premises (@p1551 @p1545) :args (@t885 @t687 @t892)) % 152.12/153.01 (step @p1553 :rule bool-double-not-elim :args (@t881)) % 152.12/153.01 (step @p1554 :rule nary_cong :premises (@p1547 @p1553) :args ((or @t887 (not @t882)))) % 152.12/153.01 (step @p1555 :rule cnf_or_neg :args (@t887 1)) % 152.12/153.01 (step @p1556 :rule eq_resolve :premises (@p1555 @p1554)) % 152.12/153.01 (step @p1557 :rule reordering :premises (@p1556) :args ((or @t881 @t887))) % 152.12/153.01 (step @p1558 :rule chain_m_resolution :premises (@p1557 @p1545) :args (@t881 @t687 @t892)) % 152.12/153.01 (step @p1559 :rule instantiate :premises (@p1445) :args ((@list @t877 @t883))) % 152.12/153.01 (step @p1560 :rule bool-double-not-elim :args (@t852)) % 152.12/153.01 (step @p1561 :rule refl :args (@t894)) % 152.12/153.01 (step @p1562 :rule refl :args (@t886)) % 152.12/153.01 (step @p1563 :rule refl :args (@t897)) % 152.12/153.01 (step @p1564 :rule refl :args (@t860)) % 152.12/153.01 (step @p1565 :rule nary_cong :premises (@p1564 @p1563 @p1531 @p1562 @p1561 @p1560) :args ((or @t860 @t897 @t882 @t886 @t894 (not @t853)))) % 152.12/153.01 (assume-push @p1803 @t898) % 152.12/153.01 (assume-push @p1804 @t853) % 152.12/153.01 (assume-push @p1805 @t881) % 152.12/153.01 (step @p1569 :rule arith-elim-lt :args (@t880 1)) % 152.12/153.01 (step @p1570 :rule symm :premises (@p1569)) % 152.12/153.01 (assume-push @p1806 @t881) % 152.12/153.01 (step @p1572 :rule evaluate :args ((>= 0 -1))) % 152.12/153.01 (step @p1573 :rule evaluate :args ((+ -1 0 0))) % 152.12/153.01 (step @p1574 :rule nary_cong :premises (@p228 @p730 @p730) :args (@t899)) % 152.12/153.01 (step @p1575 :rule trans :premises (@p1574 @p1573)) % 152.12/153.01 (step @p1576 :rule arith_poly_norm :args ((= (+ 0 @t850 @t849 0) 0))) % 152.12/153.01 (step @p1490 :rule arith_poly_norm :args (@t872)) % 152.12/153.01 (step @p1577 :rule refl :args (@t849)) % 152.12/153.01 (step @p1578 :rule refl :args (@t850)) % 152.12/153.01 (step @p1579 :rule arith_poly_norm :args ((= @t900 0))) % 152.12/153.01 (step @p1580 :rule nary_cong :premises (@p1579 @p1578 @p1577 @p1490) :args (@t901)) % 152.12/153.01 (step @p1581 :rule trans :premises (@p1580 @p1576)) % 152.12/153.01 (step @p1582 :rule arith_poly_norm :args ((= @t903 @t901))) % 152.12/153.01 (step @p1583 :rule trans :premises (@p1582 @p1581)) % 152.12/153.01 (step @p1584 :rule cong :premises (@p1583 @p1575) :args (@t904)) % 152.12/153.01 (step @p1585 :rule trans :premises (@p1584 @p1572)) % 152.12/153.01 (step @p1586 :rule cong :premises (@p1585) :args ((not @t904))) % 152.12/153.01 (step @p1587 :rule trans :premises (@p1586 @p373)) % 152.12/153.01 (step @p1588 :rule arith-elim-lt :args (@t903 @t899)) % 152.12/153.01 (step @p1589 :rule trans :premises (@p1588 @p1587)) % 152.12/153.01 (step @p1590 :rule arith_poly_norm :args ((= (* 1 (- @t902 0)) (* 1 (- @t849 @t878))))) % 152.12/153.01 (step @p1591 :rule arith_poly_norm_rel :premises (@p1590) :args ((= (= @t902 0) @t898))) % 152.12/153.01 (step @p1592 :rule symm :premises (@p1591)) % 152.12/153.01 (step @p1593 :rule eq_resolve :premises (@p1803 @p1592)) % 152.12/153.01 (step @p1594 :rule arith-elim-lt :args (@t851 0)) % 152.12/153.01 (step @p1595 :rule symm :premises (@p1594)) % 152.12/153.01 (step @p1596 :rule eq_resolve :premises (@p1804 @p1595)) % 152.12/153.01 (step @p1597 :rule arith_mult_neg :args (-1 @t881)) % 152.12/153.01 (step @p1203 :rule evaluate :args (@t788)) % 152.12/153.01 (step @p1204 :rule true_elim :premises (@p1203)) % 152.12/153.01 (step @p1598 :rule and_intro :premises (@p1204 @p1805)) % 152.12/153.01 (step @p1599 :rule modus_ponens :premises (@p1598 @p1597)) % 152.12/153.01 (step @p1600 :rule arith_sum_ub :premises (@p1599 @p1596 @p1593)) % 152.12/153.01 (step @p1601 false :rule eq_resolve :premises (@p1600 @p1589)) % 152.12/153.01 (step-pop @p1807 :rule scope :premises (@p1601)) % 152.12/153.01 (step @p1602 :rule process_scope :premises (@p1807) :args (false)) % 152.12/153.01 (step @p1604 :rule eq_resolve :premises (@p1602 @p1570)) % 152.12/153.01 (step @p1605 :rule eq_resolve :premises (@p1604 @p1569)) % 152.12/153.01 (step @p1606 false :rule contra :premises (@p1805 @p1605)) % 152.12/153.01 (step-pop @p1808 :rule scope :premises (@p1606)) % 152.12/153.01 (step-pop @p1809 :rule scope :premises (@p1808)) % 152.12/153.01 (step-pop @p1810 :rule scope :premises (@p1809)) % 152.12/153.01 (step @p1607 :rule process_scope :premises (@p1810) :args (false)) % 152.12/153.01 (assume-push @p1811 @t859) % 152.12/153.01 (assume-push @p1812 @t896) % 152.12/153.01 (assume-push @p1813 @t881) % 152.12/153.01 (assume-push @p1814 @t885) % 152.12/153.01 (assume-push @p1815 @t893) % 152.12/153.01 (assume-push @p1816 @t853) % 152.12/153.01 (assume-push @p1817 @t893) % 152.12/153.01 (assume-push @p1818 @t885) % 152.12/153.01 (assume-push @p1819 @t859) % 152.12/153.01 (assume-push @p1820 @t896) % 152.12/153.01 (step @p1621 :rule symm :premises (@p1559)) % 152.12/153.01 (step @p1622 :rule symm :premises (@p1811)) % 152.12/153.01 (step @p1623 :rule trans :premises (@p1622 @p1814)) % 152.12/153.01 (step @p1624 :rule cong :premises (@p1623) :args (@t895)) % 152.12/153.01 (step @p1625 :rule trans :premises (@p1446 @p1624 @p1621)) % 152.12/153.01 (step @p1626 :rule cong :premises (@p1625) :args (@t849)) % 152.12/153.01 (step-pop @p1821 :rule scope :premises (@p1626)) % 152.12/153.01 (step-pop @p1822 :rule scope :premises (@p1821)) % 152.12/153.01 (step-pop @p1823 :rule scope :premises (@p1822)) % 152.12/153.01 (step-pop @p1824 :rule scope :premises (@p1823)) % 152.12/153.01 (step @p1627 :rule process_scope :premises (@p1824) :args (@t898)) % 152.12/153.01 (step @p1632 :rule and_intro :premises (@p1559 @p1814 @p1811 @p1446)) % 152.12/153.01 (step @p1633 :rule modus_ponens :premises (@p1632 @p1627)) % 152.12/153.01 (step @p1634 :rule and_intro :premises (@p1633 @p1816 @p1813)) % 152.12/153.01 (step-pop @p1825 :rule scope :premises (@p1634)) % 152.12/153.01 (step-pop @p1826 :rule scope :premises (@p1825)) % 152.12/153.01 (step-pop @p1827 :rule scope :premises (@p1826)) % 152.12/153.01 (step-pop @p1828 :rule scope :premises (@p1827)) % 152.12/153.01 (step-pop @p1829 :rule scope :premises (@p1828)) % 152.12/153.01 (step-pop @p1830 :rule scope :premises (@p1829)) % 152.12/153.01 (step @p1635 :rule process_scope :premises (@p1830) :args (@t905)) % 152.12/153.01 (step @p1642 :rule implies_elim :premises (@p1635)) % 152.12/153.01 (step @p1643 :rule resolution :premises (@p1642 @p1607) :args (true @t905)) % 152.12/153.02 (step @p1644 :rule not_and :premises (@p1643)) % 152.12/153.02 (step @p1645 :rule eq_resolve :premises (@p1644 @p1565)) % 152.12/153.02 (step @p1646 :rule chain_m_resolution :premises (@p1645 @p1559 @p1558 @p1552 @p1446 @p1442 @p1440) :args (@t860 (@list false false false false true false) (@list @t893 @t881 @t885 @t896 @t852 @t861))) % 152.12/153.02 (step @p1647 :rule bool-double-not-elim :args (@t859)) % 152.12/153.02 (step @p1648 :rule refl :args (@t907)) % 152.12/153.02 (step @p1649 :rule nary_cong :premises (@p1648 @p1647) :args ((or @t907 (not @t860)))) % 152.12/153.02 (step @p1650 :rule cnf_or_neg :args (@t907 0)) % 152.12/153.02 (step @p1651 :rule eq_resolve :premises (@p1650 @p1649)) % 152.12/153.02 (step @p1652 :rule reordering :premises (@p1651) :args ((or @t859 @t907))) % 152.12/153.02 (step @p1653 :rule chain_m_resolution :premises (@p1652 @p1646) :args (@t907 @t687 (@list @t859))) % 152.12/153.02 (step @p1654 :rule refl :args (@t908)) % 152.12/153.02 (step @p1655 :rule bool-double-not-elim :args (@t844)) % 152.12/153.02 (step @p1656 :rule nary_cong :premises (@p1655 @p1654) :args ((or (not @t845) @t908))) % 152.12/153.02 (step @p1657 :rule arith_poly_norm :args ((= (* -1 (- 1 @t910)) (* -1 (- @t909 0))))) % 152.12/153.02 (step @p1658 :rule arith_poly_norm_rel :premises (@p1657) :args ((= (>= 1 @t910) (>= @t909 0)))) % 152.12/153.02 (step @p1659 :rule arith-geq-tighten :args (@t906 1)) % 152.12/153.02 (step @p1660 :rule trans :premises (@p1659 @p1658)) % 152.12/153.02 (step @p1661 :rule symm :premises (@p1660)) % 152.12/153.02 (step @p1662 :rule arith_poly_norm :args ((= @t911 @t909))) % 152.12/153.02 (step @p1663 :rule cong :premises (@p1662 @p730) :args (@t912)) % 152.12/153.02 (step @p1664 :rule trans :premises (@p1663 @p1661)) % 152.12/153.02 (step @p1665 :rule nary_cong :premises (@p1430 @p1664) :args (@t913)) % 152.12/153.02 (step @p1666 :rule cong :premises (@p1665) :args (@t914)) % 152.12/153.02 (step @p1667 :rule refl :args (@t845)) % 152.12/153.02 (step @p1668 :rule cong :premises (@p1667 @p1666) :args ((=> @t845 @t914))) % 152.12/153.02 (assume-push @p1831 @t845) % 152.12/153.02 (step @p1670 :rule skolemize :premises (@p1831)) % 152.12/153.02 (step-pop @p1832 :rule scope :premises (@p1670)) % 152.12/153.02 (step @p1671 :rule process_scope :premises (@p1832) :args (@t914)) % 152.12/153.02 (step @p1673 :rule eq_resolve :premises (@p1671 @p1668)) % 152.12/153.02 (step @p1674 :rule implies_elim :premises (@p1673)) % 152.12/153.02 (step @p1675 :rule eq_resolve :premises (@p1674 @p1656)) % 152.12/153.02 (step @p1676 :rule chain_m_resolution :premises (@p1675 @p1653) :args (@t844 @t702 (@list @t907))) % 152.12/153.02 (step @p1677 :rule cnf_or_pos :args (@t846)) % 152.12/153.02 (step @p1678 :rule reordering :premises (@p1677) :args ((or @t841 @t845 (not @t846)))) % 152.12/153.02 (step @p1679 :rule chain_m_resolution :premises (@p1678 @p1676 @p1417) :args (@t841 @t721 (@list @t844 @t846))) % 152.12/153.02 (step @p1680 :rule bool-double-not-elim :args (@t840)) % 152.12/153.02 (step @p1681 :rule refl :args (@t685)) % 152.12/153.02 (step @p1682 :rule nary_cong :premises (@p1681 @p1680 @p1276) :args ((or @t685 (not @t841) @t805))) % 152.12/153.02 (assume-push @p1833 @t804) % 152.12/153.02 (assume-push @p1834 @t841) % 152.12/153.02 (assume-push @p1835 @t655) % 152.12/153.02 (step @p1686 :rule arith-elim-lt :args (@t654 1)) % 152.12/153.02 (step @p1687 :rule symm :premises (@p1686)) % 152.12/153.02 (assume-push @p1836 @t655) % 152.12/153.02 (step @p1173 :rule evaluate :args (@t769)) % 152.12/153.02 (step @p1689 :rule evaluate :args ((+ -1 0 1))) % 152.12/153.02 (step @p1690 :rule nary_cong :premises (@p228 @p730 @p308) :args (@t915)) % 152.12/153.02 (step @p1691 :rule trans :premises (@p1690 @p1689)) % 152.12/153.02 (step @p1692 :rule arith_poly_norm :args ((= @t916 0))) % 152.12/153.02 (step @p1693 :rule arith_poly_norm :args ((= @t917 @t916))) % 152.12/153.02 (step @p1694 :rule trans :premises (@p1693 @p1692)) % 152.12/153.02 (step @p1695 :rule cong :premises (@p1694 @p1691) :args (@t918)) % 152.12/153.02 (step @p1696 :rule trans :premises (@p1695 @p1173)) % 152.12/153.02 (step @p1697 :rule cong :premises (@p1696) :args ((not @t918))) % 152.12/153.02 (step @p1698 :rule trans :premises (@p1697 @p373)) % 152.12/153.02 (step @p1699 :rule arith-elim-lt :args (@t917 @t915)) % 152.12/153.02 (step @p1700 :rule trans :premises (@p1699 @p1698)) % 152.12/153.02 (step @p1299 :rule arith-elim-lt :args (@t764 1)) % 152.12/153.02 (step @p1300 :rule symm :premises (@p1299)) % 152.12/153.02 (step @p1701 :rule eq_resolve :premises (@p1833 @p1300)) % 152.12/153.02 (step @p1702 :rule arith-elim-lt :args (@t662 1)) % 152.12/153.02 (step @p1703 :rule symm :premises (@p1702)) % 152.12/153.02 (step @p1704 :rule eq_resolve :premises (@p1834 @p1703)) % 152.12/153.02 (step @p1705 :rule int_tight_ub :premises (@p1704)) % 152.12/153.02 (step @p1706 :rule arith_mult_neg :args (-1 @t655)) % 152.12/153.02 (step @p1203 :rule evaluate :args (@t788)) % 152.12/153.02 (step @p1204 :rule true_elim :premises (@p1203)) % 152.12/153.02 (step @p1707 :rule and_intro :premises (@p1204 @p980)) % 152.12/153.02 (step @p1708 :rule modus_ponens :premises (@p1707 @p1706)) % 152.12/153.02 (step @p1709 :rule arith_sum_ub :premises (@p1708 @p1705 @p1701)) % 152.12/153.02 (step @p1710 false :rule eq_resolve :premises (@p1709 @p1700)) % 152.12/153.02 (step-pop @p1837 :rule scope :premises (@p1710)) % 152.12/153.02 (step @p1711 :rule process_scope :premises (@p1837) :args (false)) % 152.12/153.02 (step @p1713 :rule eq_resolve :premises (@p1711 @p1687)) % 152.12/153.02 (step @p1714 :rule eq_resolve :premises (@p1713 @p1686)) % 152.12/153.02 (step @p1715 false :rule contra :premises (@p980 @p1714)) % 152.12/153.02 (step-pop @p1838 :rule scope :premises (@p1715)) % 152.12/153.02 (step-pop @p1839 :rule scope :premises (@p1838)) % 152.12/153.02 (step-pop @p1840 :rule scope :premises (@p1839)) % 152.12/153.02 (step @p1716 :rule process_scope :premises (@p1840) :args (false)) % 152.12/153.02 (assume-push @p1841 @t655) % 152.12/153.02 (assume-push @p1842 @t841) % 152.12/153.02 (assume-push @p1843 @t804) % 152.12/153.02 (step @p1723 :rule and_intro :premises (@p1843 @p1842 @p980)) % 152.12/153.02 (step-pop @p1844 :rule scope :premises (@p1723)) % 152.12/153.02 (step-pop @p1845 :rule scope :premises (@p1844)) % 152.12/153.02 (step-pop @p1846 :rule scope :premises (@p1845)) % 152.12/153.02 (step @p1724 :rule process_scope :premises (@p1846) :args (@t919)) % 152.12/153.02 (step @p1728 :rule implies_elim :premises (@p1724)) % 152.12/153.02 (step @p1729 :rule resolution :premises (@p1728 @p1716) :args (true @t919)) % 152.12/153.02 (step @p1730 :rule not_and :premises (@p1729)) % 152.12/153.02 (step @p1731 :rule eq_resolve :premises (@p1730 @p1682)) % 152.12/153.02 (step @p1732 false :rule chain_m_resolution :premises (@p1731 @p1679 @p1358 @p980) :args (false (@list true true false) (@list @t840 @t798 @t655))) % 152.12/153.02 ) % 152.12/153.02 % SZS output end Proof % 152.12/153.02 % cvc5 exiting %------------------------------------------------------------------------------